GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#############################################################################
##
#W tma12m5.tom GAP table of marks library Thomas Merkwitz
##
#H @(#)$Id: tma12m5.tom,v 4.2 2001/07/05 06:55:43 gap Exp $
##
#Y Copyright (C) 1997, Lehrstuhl D fuer Mathematik, RWTH Aachen, Germany
##
## This file contains the table of marks of the sixth maximal subgroup of
## $A12$.
##
#H tomlib history
#H --------------
#H $Log: tma12m5.tom,v $
#H Revision 4.2 2001/07/05 06:55:43 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/tma12m5.tom,v
#H Working file: tma12m5.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 11:33:32; author: gap; state: Exp; lines: +2 -2
#H changed revision number to 4.1
#H ----------------------------
#H revision 1.1
#H date: 1997/11/17 12:44:30; author: gap; state: Exp;
#H added new table of marks library file
#H ==========================================================================
#H
Revision.tma12m5_tom :=
"@(#)$Id: tma12m5.tom,v 4.2 2001/07/05 06:55:43 gap Exp $";
SetActualLibFileName("tma12m5");
LIBTOM( "(A8xA4):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],[1,2,3,4,15],[1,2,5,16],[1,2,6,17],[1,2,4,6,18],[1,2,4,7,19],[
1,2,4,8,20],[1,3,21],[1,3,22],[1,3,23],[1,3,24],[1,3,4,25],[1,3,5,6,26],[1,3,
6,27],[1,3,6,28],[1,3,29],[1,3,7,30],[1,3,4,31],[1,3,7,32],[1,3,33],[1,3,6,8,
34],[1,3,8,35],[1,4,5,36],[1,4,6,37],[1,4,7,38],[1,4,6,39],[1,4,8,40],[1,5,
41],[1,5,6,42],[1,5,43],[1,5,44],[1,5,7,8,45],[1,5,8,46],[1,6,47],[1,6,48],[1,
6,49],[1,6,7,50],[1,6,7,8,51],[1,6,8,52],[1,6,8,53],[1,6,54],[1,7,55],[1,7,8,
56],[1,7,57],[1,7,58],[1,8,59],[1,60],[1,2,9,61],[1,2,13,62],[1,2,9,63],[1,3,
9,64],[1,5,9,65],[1,6,9,66],[1,3,9,67],[1,4,9,68],[1,6,9,69],[1,3,10,70],[1,3,
11,71],[1,2,10,72],[1,4,10,73],[1,7,10,74],[1,2,11,75],[1,4,11,76],[1,4,13,
77],[1,4,12,78],[1,4,12,79],[1,7,12,80],[1,3,13,81],[1,4,13,82],[1,5,13,83],[
1,6,13,84],[1,4,13,85],[1,7,13,86],[1,7,13,87],[1,8,13,88],[1,8,13,89],[1,
90],[1,2,3,14,21,22,91],[1,2,3,4,14,15,23,92],[1,2,3,4,14,24,25,93],[1,2,3,5,
6,14,16,17,26,94],[1,2,3,6,14,22,27,95],[1,2,3,4,6,14,15,17,18,28,96],[1,2,3,
4,14,25,29,97],[1,2,3,4,7,14,15,19,30,31,98],[1,2,3,7,14,32,33,99],[1,2,3,4,6,
8,14,18,20,31,34,100],[1,2,3,8,14,33,35,101],[1,2,3,4,15,21,25,102],[1,2,3,4,
15,22,24,103],[1,2,3,4,5,6,15,16,18,26,36,104],[1,2,3,4,6,15,18,25,27,37,
105],[1,2,3,4,15,22,29,106],[1,2,3,4,15,23,31,107],[1,2,3,4,7,15,19,25,32,38,
108],[1,2,3,4,15,24,33,109],[1,2,3,4,6,8,15,17,20,34,39,110],[1,2,3,4,6,15,18,
28,31,39,111],[1,2,3,4,8,15,20,25,35,40,112],[1,2,3,4,15,29,33,113],[1,2,5,16,
41,43,114],[1,2,5,6,16,42,43,115],[1,2,5,6,16,42,44,116],[1,2,4,5,7,8,16,19,
20,36,45,117],[1,2,5,8,16,44,46,118],[1,2,6,17,47,48,119],[1,2,4,6,7,17,18,19,
39,50,120],[1,2,6,8,17,53,54,121],[1,2,4,6,7,8,18,19,20,37,38,40,51,122],[1,3,
21,23,24,123],[1,3,5,6,21,26,27,124],[1,3,6,21,28,29,125],[1,3,7,21,30,32,
126],[1,3,4,21,31,33,127],[1,3,6,8,21,34,35,128],[1,3,4,22,23,25,129],[1,3,5,
6,22,26,130],[1,3,4,6,22,25,28,131],[1,3,7,22,30,33,132],[1,3,4,7,22,31,32,
133],[1,3,4,8,22,31,35,134],[1,3,6,8,22,33,34,135],[1,3,5,6,23,26,28,136],[1,
3,6,23,27,29,137],[1,3,7,23,30,138],[1,3,4,23,25,33,139],[1,3,7,23,24,32,
140],[1,3,6,8,23,28,34,141],[1,3,8,23,29,35,142],[1,3,5,6,24,26,29,143],[1,3,
6,24,27,28,144],[1,3,4,24,25,31,145],[1,3,7,24,30,146],[1,3,6,8,24,28,35,
147],[1,3,6,8,24,29,34,148],[1,3,4,5,6,25,26,36,37,149],[1,3,4,7,25,30,31,38,
150],[1,3,4,6,25,28,33,151],[1,3,4,6,8,25,34,39,40,152],[1,3,4,25,29,31,153],[
1,3,5,6,26,41,42,154],[1,3,5,6,26,27,42,47,155],[1,3,5,6,26,48,156],[1,3,5,6,
26,28,42,49,157],[1,3,5,6,26,44,158],[1,3,5,6,26,29,159],[1,3,5,6,26,43,160],[
1,3,5,6,26,43,44,161],[1,3,5,6,7,8,26,30,34,45,50,162],[1,3,4,5,6,26,31,36,39,
163],[1,3,5,6,7,8,26,32,35,45,51,164],[1,3,5,6,26,33,165],[1,3,5,6,8,26,34,42,
46,52,166],[1,3,5,6,26,44,167],[1,3,5,6,8,26,35,46,53,168],[1,3,5,6,26,54,
169],[1,3,6,27,28,29,170],[1,3,6,7,8,27,30,34,35,51,171],[1,3,4,6,27,31,33,
172],[1,3,6,7,8,27,32,34,50,51,173],[1,3,6,8,27,34,35,52,53,174],[1,3,6,7,28,
30,50,175],[1,3,6,7,28,29,32,176],[1,3,6,8,28,34,49,52,177],[1,3,6,8,28,29,35,
178],[1,3,7,29,30,179],[1,3,6,8,29,34,180],[1,3,7,30,32,55,181],[1,3,7,30,33,
182],[1,3,7,8,30,35,56,183],[1,3,7,30,57,184],[1,3,7,30,58,185],[1,3,7,30,55,
57,186],[1,3,7,8,30,56,58,187],[1,3,4,7,31,32,33,188],[1,3,4,6,8,31,34,37,40,
189],[1,3,4,8,31,33,35,190],[1,3,6,7,8,32,34,35,51,56,191],[1,3,6,8,33,34,
192],[1,3,6,8,34,47,53,193],[1,3,6,8,34,35,53,59,194],[1,3,6,8,34,54,195],[1,
3,6,8,34,48,54,196],[1,4,5,36,41,44,197],[1,4,5,6,36,42,43,198],[1,4,5,6,36,
42,44,199],[1,4,5,7,8,36,38,40,45,200],[1,4,5,6,36,42,44,201],[1,4,5,8,36,44,
46,202],[1,4,5,8,36,43,46,203],[1,4,6,37,48,49,204],[1,4,6,7,37,38,39,50,
205],[1,4,6,37,49,54,206],[1,4,7,38,57,207],[1,4,7,38,58,208],[1,4,6,39,47,54,
209],[1,4,6,8,39,48,53,210],[1,4,6,8,39,53,54,211],[1,4,6,8,39,53,54,212],[1,
5,7,8,41,45,46,213],[1,5,6,7,8,42,45,50,52,214],[1,5,6,7,8,42,45,46,51,53,
215],[1,5,7,8,43,44,45,216],[1,5,7,8,44,45,217],[1,5,7,8,45,55,56,218],[1,5,7,
8,45,46,56,59,219],[1,5,7,8,45,57,58,220],[1,5,7,8,45,58,221],[1,6,7,8,47,50,
51,52,53,222],[1,6,7,48,50,54,223],[1,6,7,49,50,224],[1,6,7,8,50,51,55,56,
225],[1,6,7,8,50,53,56,226],[1,6,7,50,54,227],[1,6,7,8,50,53,56,228],[1,6,7,
50,57,58,229],[1,6,7,50,58,230],[1,6,7,50,55,58,231],[1,6,7,8,50,56,57,232],[
1,6,7,8,50,56,58,233],[1,6,7,8,50,56,58,234],[1,6,7,8,51,52,53,56,59,235],[1,
7,55,236],[1,7,55,57,237],[1,7,55,57,238],[1,7,8,55,56,239],[1,7,55,58,240],[
1,7,8,55,56,58,241],[1,7,8,56,57,242],[1,7,8,56,59,243],[1,7,8,56,58,244],[1,
7,8,56,58,245],[1,7,8,56,57,58,246],[1,7,8,56,58,247],[1,7,57,248],[1,7,57,
249],[1,7,57,58,250],[1,7,58,251],[1,7,58,252],[1,7,58,253],[1,9,10,11,254],[
1,9,13,255],[1,9,11,12,256],[1,10,12,13,257],[1,11,12,13,258],[1,2,60,259],[1,
3,60,260],[1,5,60,261],[1,6,60,262],[1,4,60,263],[1,2,3,9,14,61,67,264],[1,2,
3,9,14,61,63,64,265],[1,2,5,9,16,61,65,266],[1,2,6,9,17,61,63,66,267],[1,2,3,
4,9,15,61,64,68,268],[1,2,6,9,17,61,69,269],[1,2,4,6,9,18,61,66,68,270],[1,2,
5,13,16,62,83,271],[1,2,4,7,13,19,62,77,86,272],[1,2,4,8,13,20,62,77,88,273],[
1,2,3,4,13,15,62,81,85,274],[1,2,4,6,13,18,62,84,85,275],[1,2,4,7,13,19,62,82,
87,276],[1,2,4,8,13,20,62,82,89,277],[1,2,5,9,16,63,65,278],[1,2,3,4,9,15,63,
67,68,279],[1,2,4,6,9,18,63,68,69,280],[1,3,5,6,9,26,64,65,66,281],[1,3,9,23,
64,67,282],[1,3,6,9,28,64,66,69,283],[1,5,9,41,65,284],[1,5,6,9,42,65,66,
285],[1,5,9,43,65,286],[1,5,9,43,65,287],[1,3,5,6,9,26,65,67,69,288],[1,4,5,9,
36,65,68,289],[1,5,6,9,42,65,69,290],[1,5,9,44,65,291],[1,3,6,9,28,66,67,
292],[1,6,9,49,66,69,293],[1,3,9,21,67,294],[1,3,4,9,25,67,68,295],[1,3,6,9,
27,67,69,296],[1,3,9,29,67,297],[1,3,9,24,67,298],[1,3,9,22,67,299],[1,4,6,9,
37,68,69,300],[1,6,9,47,69,301],[1,6,9,48,69,302],[1,3,9,21,303],[1,3,10,21,
70,304],[1,3,11,21,305],[1,3,13,21,306],[1,3,11,21,71,307],[1,3,12,21,308],[1,
2,3,10,14,70,72,309],[1,3,10,22,70,310],[1,3,10,23,70,311],[1,2,3,4,10,15,70,
72,73,312],[1,3,10,24,70,313],[1,3,4,10,25,70,73,314],[1,3,7,10,30,70,74,
315],[1,3,4,10,31,70,73,316],[1,3,7,10,32,70,74,317],[1,3,10,33,70,318],[1,3,
12,23,319],[1,3,13,23,320],[1,2,3,4,11,15,71,75,76,321],[1,3,4,11,25,71,76,
322],[1,2,4,7,10,19,72,73,74,323],[1,4,7,10,38,73,74,324],[1,7,10,55,74,325],[
1,7,10,57,74,326],[1,3,4,13,25,77,81,82,327],[1,4,5,13,36,77,83,328],[1,4,6,
13,37,77,82,84,329],[1,4,7,13,38,77,85,87,330],[1,4,8,13,40,77,85,89,331],[1,
4,7,12,38,78,79,80,332],[1,3,5,6,13,26,81,83,84,333],[1,3,7,13,32,81,86,87,
334],[1,3,8,13,35,81,88,89,335],[1,4,5,13,36,82,83,336],[1,4,7,13,38,82,85,86,
337],[1,4,8,13,40,82,85,88,338],[1,5,13,41,83,339],[1,5,6,13,42,83,84,340],[1,
5,13,44,83,341],[1,5,13,44,83,342],[1,4,5,13,36,83,85,343],[1,5,7,8,13,45,83,
86,88,344],[1,5,7,8,13,45,83,87,89,345],[1,5,13,44,83,346],[1,5,8,13,46,83,88,
347],[1,5,8,13,46,83,89,348],[1,5,13,43,83,349],[1,6,7,8,13,51,84,86,89,350],[
1,6,7,8,13,51,84,87,88,351],[1,6,8,13,53,84,88,89,352],[1,5,10,41,353],[1,5,
11,41,354],[1,5,12,41,355],[1,6,11,47,356],[1,6,12,47,357],[1,6,12,49,358],[1,
7,13,55,359],[1,7,12,55,360],[1,8,12,59,361],[1,5,90,362],[1,4,90,363],[1,9,
60,364],[1,10,60,365],[1,11,60,366],[1,2,3,4,14,15,21,22,23,24,25,91,92,93,
102,103,123,129,367],[1,2,3,5,6,14,16,17,21,22,26,27,91,94,95,124,130,368],[1,
2,3,4,6,14,15,17,18,21,22,25,28,29,91,96,97,102,106,125,131,369],[1,2,3,4,7,
14,15,19,21,22,30,31,32,33,91,98,99,126,127,132,133,370],[1,2,3,4,6,8,14,18,
20,21,22,31,33,34,35,91,100,101,127,128,134,135,371],[1,2,3,4,5,6,14,15,16,17,
18,23,26,28,36,92,94,96,104,136,372],[1,2,3,4,6,14,15,18,22,23,25,27,29,37,92,
95,97,105,106,129,137,373],[1,2,3,4,7,14,15,19,23,30,31,92,98,107,138,374],[1,
2,3,4,7,14,15,19,23,24,25,32,33,38,92,93,99,108,109,139,140,375],[1,2,3,4,6,8,
14,15,17,18,20,23,28,31,34,39,92,96,100,107,110,111,141,376],[1,2,3,4,8,14,15,
20,23,25,29,33,35,40,92,97,101,112,113,139,142,377],[1,2,3,4,5,6,14,16,17,24,
25,26,29,36,37,93,94,97,143,149,378],[1,2,3,4,6,14,15,17,18,22,24,25,27,28,37,
93,95,96,103,105,131,144,379],[1,2,3,4,7,14,15,19,24,25,30,31,38,93,98,145,
146,150,380],[1,2,3,4,6,8,14,15,17,18,20,24,25,28,33,35,40,93,96,101,109,112,
147,151,381],[1,2,3,4,6,8,14,18,20,24,25,29,31,34,39,40,93,97,100,145,148,152,
153,382],[1,2,3,5,6,14,16,17,26,41,42,43,94,114,115,154,160,383],[1,2,3,5,6,
14,16,17,26,27,42,47,48,94,119,155,156,384],[1,2,3,5,6,14,16,17,26,28,42,43,
44,49,94,115,116,157,161,385],[1,2,3,5,6,14,16,17,26,29,44,94,158,159,386],[1,
2,3,4,5,6,7,8,14,15,16,17,18,19,20,26,30,31,34,36,39,45,50,94,98,100,104,110,
117,120,162,163,387],[1,2,3,5,6,7,8,14,16,17,26,32,33,35,45,51,94,99,101,164,
165,388],[1,2,3,5,6,8,14,16,17,26,34,42,44,46,52,94,116,118,166,167,389],[1,2,
3,5,6,8,14,16,17,26,35,46,53,54,94,121,168,169,390],[1,2,3,4,6,7,8,14,15,19,
22,27,30,31,33,34,35,51,95,98,101,132,134,171,172,391],[1,2,3,4,6,7,8,14,18,
20,22,27,31,32,33,34,50,51,95,99,100,133,135,172,173,392],[1,2,3,4,6,7,14,15,
17,18,19,28,30,31,39,50,96,98,111,120,175,393],[1,2,3,4,6,7,14,15,17,18,19,25,
28,29,32,33,38,96,97,99,108,113,151,176,394],[1,2,3,4,7,14,15,19,25,29,30,31,
38,97,98,150,153,179,395],[1,2,3,4,7,14,15,19,21,25,30,31,32,38,98,102,108,
126,150,396],[1,2,3,4,7,14,15,19,30,31,32,33,55,98,99,181,182,188,397],[1,2,3,
4,7,14,15,19,22,24,30,31,33,98,103,109,132,146,398],[1,2,3,4,6,7,8,14,15,18,
19,20,25,27,30,31,34,35,37,38,40,51,98,100,105,112,122,150,171,189,399],[1,2,
3,4,7,8,14,15,19,30,31,33,35,56,98,101,182,183,190,400],[1,2,3,4,7,14,15,19,
22,29,30,31,33,98,106,113,132,179,401],[1,2,3,4,7,14,15,19,30,31,33,57,98,182,
184,402],[1,2,3,4,7,14,15,19,30,31,33,58,98,182,185,403],[1,2,3,4,6,7,8,14,18,
20,31,32,33,34,35,51,56,99,100,101,188,190,191,192,404],[1,2,3,4,5,6,15,16,18,
21,25,26,27,36,37,102,104,105,124,149,405],[1,2,3,4,15,21,23,24,25,31,33,102,
107,109,123,127,139,145,406],[1,2,3,4,6,8,15,17,20,21,25,34,35,39,40,102,110,
112,128,152,407],[1,2,3,4,6,15,18,21,25,28,29,31,33,39,102,111,113,125,127,
151,153,408],[1,2,3,4,5,6,15,16,18,22,24,26,29,36,103,104,106,130,143,409],[1,
2,3,4,7,15,19,22,23,24,25,31,32,38,103,107,108,129,133,140,145,410],[1,2,3,4,
6,8,15,17,20,22,24,29,33,34,39,103,106,109,110,113,135,148,411],[1,2,3,4,6,8,
15,18,20,22,24,25,28,31,35,39,40,103,111,112,131,134,145,147,412],[1,2,3,4,5,
6,15,16,18,26,36,41,42,43,44,104,114,116,154,161,197,198,413],[1,2,3,4,5,6,15,
16,18,26,28,36,42,43,49,104,115,157,160,198,414],[1,2,3,4,5,6,15,16,18,26,27,
36,42,44,47,104,116,155,158,199,415],[1,2,3,4,5,6,15,16,18,26,29,36,48,104,
156,159,416],[1,2,3,4,5,6,15,16,18,23,26,28,31,36,39,104,107,111,136,163,
417],[1,2,3,4,5,6,7,8,15,16,18,19,20,25,26,32,35,36,37,38,40,45,51,104,108,
112,117,122,149,164,200,418],[1,2,3,4,5,6,15,16,18,24,26,29,33,36,104,109,113,
143,165,419],[1,2,3,4,5,6,8,15,16,18,26,34,36,42,43,44,46,52,104,115,118,161,
166,201,203,420],[1,2,3,4,5,6,15,16,18,26,28,36,42,44,49,104,116,157,167,201,
421],[1,2,3,4,5,6,8,15,16,18,26,35,36,44,46,53,104,118,158,168,202,422],[1,2,
3,4,5,6,15,16,18,26,29,36,54,104,159,169,423],[1,2,3,4,6,15,18,23,25,27,29,31,
33,37,105,107,113,137,139,153,172,424],[1,2,3,4,6,7,8,15,17,18,19,20,25,27,32,
34,37,38,39,40,50,51,105,108,110,120,122,152,173,205,425],[1,2,3,4,6,15,18,24,
25,27,28,31,33,37,39,105,109,111,144,145,151,172,426],[1,2,3,4,8,15,20,22,23,
25,29,31,35,40,106,107,112,129,134,142,153,427],[1,2,3,4,6,7,15,18,19,22,25,
28,29,31,32,38,39,106,108,111,131,133,153,176,428],[1,2,3,4,6,8,15,17,20,34,
39,47,48,53,54,110,119,121,193,196,209,210,429],[1,2,3,4,6,8,15,17,20,34,35,
39,53,54,59,110,121,194,195,211,212,430],[1,2,4,5,7,8,16,19,20,36,41,43,44,45,
46,114,117,118,197,203,213,216,431],[1,2,4,5,6,7,8,16,19,20,36,42,43,44,45,50,
52,115,116,117,198,201,214,216,432],[1,2,4,5,6,7,8,16,19,20,36,42,44,45,46,51,
53,116,117,118,199,202,215,217,433],[1,2,4,6,7,8,17,18,19,39,47,48,50,51,52,
53,54,119,120,121,209,210,222,223,434],[1,2,4,6,7,8,17,18,19,39,50,53,54,56,
120,121,211,226,227,435],[1,2,4,6,7,8,17,18,19,39,50,53,54,56,120,121,212,227,
228,436],[1,2,4,6,7,17,18,19,39,50,54,58,120,227,230,437],[1,3,5,6,21,23,24,
26,27,28,29,123,124,125,136,137,143,144,438],[1,3,7,21,23,24,30,32,123,126,
138,140,146,439],[1,3,6,8,21,23,24,28,29,34,35,123,125,128,141,142,147,148,
440],[1,3,5,6,21,26,27,41,42,47,124,154,155,441],[1,3,5,6,21,26,27,43,48,124,
156,160,442],[1,3,5,6,21,26,27,28,29,42,49,124,125,157,159,170,443],[1,3,5,6,
21,26,27,43,44,124,158,161,444],[1,3,5,6,7,8,21,26,27,30,32,34,35,45,50,51,
124,126,128,162,164,171,173,445],[1,3,4,5,6,21,26,27,31,33,36,39,124,127,163,
165,172,446],[1,3,5,6,8,21,26,27,34,35,42,46,52,53,124,128,166,168,174,447],[
1,3,5,6,21,26,27,44,54,124,167,169,448],[1,3,6,7,21,28,29,30,32,50,125,126,
175,176,179,449],[1,3,6,8,21,28,29,34,35,49,52,125,128,177,178,180,450],[1,3,
7,21,30,32,55,126,181,451],[1,3,4,7,21,25,30,31,32,33,38,126,127,150,182,188,
452],[1,3,7,21,24,30,32,57,126,146,184,453],[1,3,7,21,22,30,32,33,126,132,182,
454],[1,3,6,7,8,21,27,30,32,34,35,51,56,126,128,171,183,191,455],[1,3,7,21,29,
30,32,58,126,179,185,456],[1,3,4,6,8,21,31,33,34,35,37,40,127,128,189,190,192,
457],[1,3,6,8,21,34,35,47,53,59,128,193,194,458],[1,3,6,8,21,34,35,48,54,128,
195,196,459],[1,3,4,5,6,22,23,25,26,28,36,37,129,130,131,136,149,460],[1,3,4,
7,22,23,25,30,31,33,38,129,132,138,139,150,461],[1,3,4,6,8,22,23,25,28,33,34,
39,40,129,131,135,139,141,151,152,462],[1,3,5,6,22,26,41,42,48,130,154,156,
463],[1,3,5,6,22,26,27,42,43,47,130,155,160,464],[1,3,5,6,22,26,28,42,44,49,
130,157,158,465],[1,3,5,6,22,26,29,43,44,130,159,161,466],[1,3,5,6,7,8,22,26,
30,33,34,45,50,130,132,135,162,165,467],[1,3,4,5,6,7,8,22,26,31,32,35,36,39,
45,51,130,133,134,163,164,468],[1,3,5,6,8,22,26,34,42,46,52,54,130,166,169,
469],[1,3,5,6,8,22,26,35,44,46,53,130,167,168,470],[1,3,4,6,7,22,25,28,30,31,
33,38,50,131,132,150,151,175,471],[1,3,4,7,22,25,30,31,32,33,38,55,132,133,
150,181,188,472],[1,3,7,22,24,30,33,132,146,182,473],[1,3,7,22,30,33,57,132,
184,474],[1,3,4,7,8,22,25,30,31,33,35,38,56,132,134,150,183,190,475],[1,3,6,7,
8,22,27,30,33,34,35,51,132,135,171,182,192,476],[1,3,7,22,30,33,58,132,185,
477],[1,3,7,22,29,30,33,132,179,182,478],[1,3,4,6,7,8,22,31,32,33,34,35,37,40,
51,56,133,134,135,188,189,190,191,479],[1,3,5,6,23,26,28,41,42,49,136,154,157,
480],[1,3,5,6,23,26,27,28,29,42,47,136,137,155,159,170,481],[1,3,5,6,23,26,28,
44,48,136,156,158,482],[1,3,5,6,23,26,28,43,44,136,160,161,483],[1,3,5,6,7,8,
23,26,28,30,34,45,50,136,138,141,162,175,484],[1,3,4,5,6,23,25,26,28,33,36,37,
136,139,149,151,165,485],[1,3,5,6,7,8,23,24,26,28,29,32,35,45,51,136,140,142,
143,147,164,176,486],[1,3,5,6,8,23,26,28,34,42,46,49,52,136,141,157,166,177,
487],[1,3,5,6,8,23,26,28,29,35,46,53,136,142,159,168,178,488],[1,3,5,6,23,26,
28,44,54,136,158,169,489],[1,3,5,6,23,26,28,43,44,136,161,167,490],[1,3,6,7,8,
23,27,29,30,34,35,51,137,138,142,171,179,491],[1,3,6,7,8,23,24,27,28,29,32,34,
50,51,137,140,141,144,148,173,176,492],[1,3,6,8,23,27,28,29,34,35,52,53,137,
141,142,170,174,178,180,493],[1,3,7,23,30,32,55,57,138,181,184,186,494],[1,3,
7,23,30,33,138,182,495],[1,3,7,8,23,30,35,56,58,138,183,185,187,496],[1,3,5,6,
24,26,29,41,42,143,154,159,497],[1,3,5,6,24,26,27,28,29,42,47,49,143,144,155,
157,170,498],[1,3,5,6,24,26,29,43,44,48,143,156,161,499],[1,3,5,6,24,26,29,43,
44,143,158,160,500],[1,3,4,5,6,24,25,26,29,31,36,37,39,143,145,149,153,163,
501],[1,3,5,6,7,8,24,26,29,30,34,45,50,143,146,148,162,179,502],[1,3,5,6,8,24,
26,28,29,35,42,46,49,53,143,147,157,168,178,503],[1,3,5,6,8,24,26,29,34,42,46,
52,143,148,159,166,180,504],[1,3,5,6,24,26,29,44,143,158,167,505],[1,3,5,6,24,
26,29,43,44,54,143,161,169,506],[1,3,6,7,8,24,27,28,30,34,35,50,51,144,146,
147,171,175,507],[1,3,6,8,24,27,28,29,34,35,49,52,53,144,147,148,170,174,177,
178,508],[1,3,4,7,24,25,30,31,33,38,146,150,182,509],[1,3,7,24,30,32,55,146,
181,510],[1,3,6,7,8,24,27,30,34,35,51,58,146,171,185,511],[1,3,7,8,24,29,30,
35,56,146,179,183,512],[1,3,4,5,6,25,26,36,37,41,42,44,149,154,158,197,199,
513],[1,3,4,5,6,25,26,27,36,37,42,43,44,47,149,155,161,198,199,514],[1,3,4,5,
6,25,26,28,36,37,42,48,49,149,156,157,204,515],[1,3,4,5,6,25,26,29,36,37,43,
149,159,160,516],[1,3,4,5,6,7,8,25,26,30,31,34,36,37,38,39,40,45,50,149,150,
152,162,163,189,200,205,517],[1,3,4,5,6,25,26,28,36,37,42,49,54,149,157,169,
206,518],[1,3,4,5,6,25,26,29,36,37,44,149,159,167,519],[1,3,4,5,6,8,25,26,34,
36,37,42,44,46,52,149,158,166,201,202,520],[1,3,4,5,6,8,25,26,35,36,37,43,44,
46,53,149,161,168,202,203,521],[1,3,4,7,25,30,31,38,57,150,184,207,522],[1,3,
4,7,25,30,31,38,58,150,185,208,523],[1,3,4,6,7,8,25,27,30,31,33,34,35,38,51,
150,171,172,182,190,524],[1,3,4,7,25,29,30,31,33,38,150,179,182,525],[1,3,4,6,
8,25,34,39,40,47,53,54,152,193,195,209,211,212,526],[1,3,4,6,8,25,34,35,39,40,
48,53,54,59,152,194,196,210,211,212,527],[1,3,5,6,7,8,26,30,34,41,42,45,46,50,
52,154,162,166,213,214,528],[1,3,4,5,6,26,31,36,39,41,42,44,154,163,167,197,
201,529],[1,3,5,6,7,8,26,32,35,41,42,45,46,51,53,154,164,168,213,215,530],[1,
3,5,6,26,33,41,42,54,154,165,169,531],[1,3,5,6,7,8,26,27,30,34,35,42,45,46,47,
50,51,52,53,155,162,166,168,171,174,193,215,222,532],[1,3,4,5,6,26,27,31,36,
39,42,47,54,155,163,169,209,533],[1,3,5,6,7,8,26,27,32,34,35,42,45,46,47,50,
51,52,53,155,164,166,173,174,214,215,222,534],[1,3,5,6,26,27,33,42,44,47,155,
165,167,535],[1,3,5,6,7,8,26,30,34,45,48,50,54,156,162,169,196,223,536],[1,3,
4,5,6,8,26,31,35,36,39,46,48,53,156,163,168,210,537],[1,3,5,6,7,8,26,32,35,44,
45,48,51,156,164,167,538],[1,3,5,6,8,26,33,34,42,46,48,52,156,165,166,539],[1,
3,5,6,7,8,26,28,30,34,42,45,49,50,52,157,162,175,177,214,224,540],[1,3,4,5,6,
26,28,31,36,39,42,43,44,49,157,161,163,198,201,541],[1,3,5,6,7,8,26,28,29,32,
35,42,45,49,51,157,159,164,176,178,542],[1,3,5,6,26,28,33,42,44,49,157,158,
165,543],[1,3,5,6,7,8,26,30,34,44,45,50,158,162,167,217,544],[1,3,4,5,6,26,29,
31,36,39,44,158,159,163,545],[1,3,5,6,7,8,26,32,35,43,44,45,51,158,161,164,
216,217,546],[1,3,5,6,7,8,26,29,30,34,45,50,159,162,179,180,547],[1,3,5,6,26,
29,33,43,44,159,161,165,548],[1,3,5,6,7,8,26,30,34,43,44,45,50,160,161,162,
167,216,549],[1,3,4,5,6,8,26,31,34,36,39,42,43,46,52,160,163,166,198,203,
550],[1,3,5,6,7,8,26,32,35,43,45,51,54,160,164,169,551],[1,3,5,6,8,26,33,35,
43,46,53,160,165,168,552],[1,3,5,6,7,8,26,30,32,34,35,45,50,51,55,56,162,164,
181,183,191,218,225,553],[1,3,5,6,7,8,26,30,33,34,45,50,162,165,182,192,554],[
1,3,5,6,7,8,26,30,34,35,45,46,50,53,56,59,162,168,183,194,219,226,228,555],[1,
3,5,6,7,8,26,30,34,45,50,54,162,169,195,227,556],[1,3,5,6,7,8,26,30,34,45,50,
57,58,162,184,185,220,229,557],[1,3,5,6,7,8,26,30,34,45,50,58,162,185,221,230,
558],[1,3,5,6,7,8,26,30,34,45,50,55,56,57,58,162,186,187,218,220,231,232,
559],[1,3,5,6,7,8,26,30,34,45,46,50,56,58,59,162,187,219,221,233,234,560],[1,
3,4,5,6,7,8,26,31,32,33,35,36,39,45,51,163,164,165,188,190,561],[1,3,4,5,6,8,
26,31,34,36,39,42,44,46,52,163,166,167,199,202,562],[1,3,4,5,6,8,26,31,35,36,
39,46,53,54,163,168,169,211,212,563],[1,3,5,6,7,8,26,32,34,35,42,45,46,51,52,
53,56,59,164,166,168,191,194,215,219,235,564],[1,3,5,6,7,8,26,32,35,44,45,51,
54,164,167,169,565],[1,3,5,6,8,26,33,34,42,46,52,54,165,166,169,566],[1,3,5,6,
8,26,33,35,44,46,53,165,167,168,567],[1,3,6,7,8,27,28,29,30,34,35,50,51,170,
171,175,178,179,568],[1,3,6,7,8,27,28,29,32,34,49,50,51,52,170,173,176,177,
180,569],[1,3,6,7,8,27,30,32,34,35,50,51,55,56,171,173,181,191,225,570],[1,3,
6,7,8,27,29,30,34,35,51,57,171,179,184,571],[1,3,6,7,8,27,30,34,35,51,52,53,
56,59,171,174,183,194,235,572],[1,3,6,7,8,27,29,30,34,35,51,58,171,179,185,
573],[1,3,4,6,7,8,27,31,32,33,34,37,40,50,51,172,173,188,189,192,574],[1,3,6,
7,8,27,32,34,35,47,50,51,52,53,56,59,173,174,191,193,194,222,226,228,235,
575],[1,3,6,7,8,27,32,34,48,50,51,54,173,195,196,223,227,576],[1,3,6,7,28,30,
32,50,55,58,175,181,185,231,577],[1,3,6,7,28,30,33,50,175,182,578],[1,3,6,7,8,
28,30,35,50,56,57,175,183,184,232,579],[1,3,6,7,8,28,30,35,50,56,58,175,183,
185,233,234,580],[1,3,6,7,8,28,30,50,51,55,56,57,58,175,186,187,225,229,231,
232,581],[1,3,6,7,8,28,30,50,53,56,58,175,187,226,230,233,582],[1,3,6,7,28,30,
50,54,175,227,583],[1,3,6,7,8,28,30,50,53,56,58,175,187,228,230,234,584],[1,3,
4,6,8,28,31,34,37,40,48,49,52,54,177,189,196,204,206,585],[1,3,6,8,28,33,34,
49,52,54,177,192,195,586],[1,3,7,29,30,32,55,179,181,587],[1,3,7,8,29,30,35,
56,179,183,588],[1,3,4,6,8,29,31,34,37,40,54,180,189,195,589],[1,3,6,8,29,33,
34,48,54,180,192,196,590],[1,3,7,30,32,55,57,181,186,236,237,238,591],[1,3,7,
30,32,55,57,181,237,592],[1,3,7,8,30,32,55,56,58,181,187,239,240,241,593],[1,
3,7,30,32,55,58,181,240,594],[1,3,7,8,30,35,55,56,57,58,183,186,187,239,241,
242,246,595],[1,3,7,8,30,35,56,58,59,183,187,243,244,245,247,596],[1,3,7,30,
55,57,184,186,237,238,249,597],[1,3,7,30,57,184,248,598],[1,3,7,8,30,56,57,58,
184,187,242,246,250,599],[1,3,7,8,30,55,56,57,58,185,186,187,240,241,246,250,
600],[1,3,7,8,30,56,58,185,187,244,247,252,601],[1,3,7,8,30,56,58,185,187,245,
247,253,602],[1,3,7,30,58,185,251,603],[1,4,5,7,8,36,38,40,41,44,45,46,197,
200,202,213,217,604],[1,4,5,6,7,8,36,38,40,42,43,44,45,46,51,53,198,199,200,
202,203,215,216,605],[1,4,5,6,7,8,36,38,40,42,44,45,50,52,199,200,201,214,217,
606],[1,4,5,7,8,36,38,40,45,57,58,200,207,208,220,607],[1,4,5,7,8,36,38,40,44,
45,58,200,217,221,608],[1,4,6,7,37,38,39,48,49,50,54,204,205,206,223,224,
609],[1,4,6,7,37,38,39,50,57,58,205,207,208,229,610],[1,4,6,7,8,37,38,39,47,
50,51,52,53,54,205,209,211,212,222,227,611],[1,4,6,7,8,37,38,39,48,50,53,54,
56,205,210,211,223,228,612],[1,4,6,7,8,37,38,39,48,50,53,54,56,205,210,212,
223,226,613],[1,4,7,38,55,57,207,238,248,614],[1,4,7,8,38,56,57,207,242,248,
615],[1,4,7,38,57,207,248,249,616],[1,4,7,38,57,58,207,248,250,617],[1,4,7,8,
38,56,58,208,244,251,618],[1,4,7,8,38,56,58,208,245,251,619],[1,4,7,38,58,208,
251,253,620],[1,4,7,38,58,208,251,252,621],[1,5,7,8,41,45,46,55,56,59,213,218,
219,622],[1,5,7,8,41,45,46,57,58,213,220,221,623],[1,5,6,7,8,42,45,46,50,51,
52,53,55,56,59,214,215,218,219,225,226,228,235,624],[1,5,6,7,8,42,45,50,52,57,
58,214,220,221,229,230,625],[1,5,6,7,8,42,45,50,52,55,56,58,214,218,221,231,
233,234,626],[1,5,6,7,8,42,45,46,50,52,56,57,58,59,214,219,220,232,233,234,
627],[1,5,7,8,44,45,57,58,217,220,628],[1,5,7,8,45,55,56,218,236,239,629],[1,
5,7,8,45,55,56,57,58,218,220,237,240,246,630],[1,5,7,8,45,55,56,57,58,218,220,
238,241,242,631],[1,5,7,8,45,46,55,56,59,218,219,239,243,632],[1,5,7,8,45,55,
56,58,218,221,240,247,633],[1,5,7,8,45,46,55,56,58,59,218,219,221,241,244,245,
634],[1,5,7,8,45,46,56,57,58,59,219,220,242,244,245,635],[1,5,7,8,45,46,56,57,
58,59,219,220,221,246,247,636],[1,5,7,8,45,57,58,220,248,637],[1,5,7,8,45,57,
58,220,251,638],[1,5,7,8,45,57,58,220,249,250,639],[1,5,7,8,45,57,58,220,221,
250,252,253,640],[1,6,7,8,47,50,51,52,53,55,56,59,222,225,235,641],[1,6,7,48,
50,54,57,58,223,229,642],[1,6,7,8,49,50,51,55,56,58,224,225,230,231,233,234,
643],[1,6,7,8,49,50,53,56,57,58,224,226,229,232,234,644],[1,6,7,8,49,50,53,56,
57,58,224,228,229,232,233,645],[1,6,7,8,50,51,55,56,58,225,231,236,240,241,
646],[1,6,7,8,50,51,55,56,57,58,225,237,240,647],[1,6,7,8,50,51,55,56,57,58,
225,231,232,238,239,241,246,648],[1,6,7,8,50,51,55,56,57,225,232,237,239,242,
649],[1,6,7,8,50,51,55,56,58,225,233,239,240,245,650],[1,6,7,8,50,51,55,56,58,
225,240,651],[1,6,7,8,50,51,55,56,58,59,225,233,234,241,243,247,652],[1,6,7,8,
50,51,55,56,58,225,234,239,240,244,653],[1,6,7,8,50,53,55,56,58,226,231,233,
239,241,244,247,654],[1,6,7,8,50,53,56,57,58,59,226,232,234,242,243,245,246,
655],[1,6,7,8,50,53,55,56,58,228,231,234,239,241,245,247,656],[1,6,7,8,50,53,
56,57,58,59,228,232,233,242,243,244,246,657],[1,6,7,50,55,57,58,229,231,238,
240,250,658],[1,6,7,8,50,55,56,57,58,229,231,232,237,241,246,250,659],[1,6,7,
50,57,58,229,248,660],[1,6,7,8,50,56,57,58,229,232,242,246,249,661],[1,6,7,8,
50,56,57,58,229,233,234,242,247,250,662],[1,6,7,8,50,56,57,58,229,234,245,246,
252,663],[1,6,7,8,50,56,57,58,229,233,244,246,253,664],[1,6,7,50,57,58,229,
251,665],[1,6,7,8,50,55,56,58,230,231,234,240,241,247,253,666],[1,6,7,8,50,56,
57,58,230,232,233,245,246,247,250,667],[1,6,7,8,50,55,56,58,230,231,233,240,
241,247,252,668],[1,6,7,8,50,56,57,58,230,232,234,244,246,247,250,669],[1,2,9,
13,61,62,255,670],[1,2,9,13,61,63,255,671],[1,2,9,10,11,63,72,75,254,672],[1,
3,9,10,11,64,70,254,673],[1,2,9,10,11,61,72,254,674],[1,3,9,10,11,67,70,71,
254,675],[1,4,9,10,11,68,73,76,254,676],[1,3,9,13,64,67,255,677],[1,3,9,11,12,
64,71,256,678],[1,3,9,13,64,81,255,679],[1,4,9,13,77,82,255,680],[1,5,9,13,65,
83,255,681],[1,6,9,13,66,84,255,682],[1,4,9,13,68,85,255,683],[1,7,9,13,86,87,
255,684],[1,6,9,13,66,69,255,685],[1,8,9,13,88,89,255,686],[1,2,9,11,12,61,75,
256,687],[1,4,9,11,12,68,76,79,256,688],[1,2,10,12,13,62,72,257,689],[1,4,10,
12,13,73,77,257,690],[1,3,10,12,13,70,81,257,691],[1,4,10,12,13,73,78,82,257,
692],[1,4,10,12,13,73,79,85,257,693],[1,7,10,12,13,74,87,257,694],[1,7,10,12,
13,74,80,86,257,695],[1,4,11,12,13,77,78,258,696],[1,4,11,12,13,76,79,85,258,
697],[1,7,11,12,13,80,87,258,698],[1,2,5,16,60,259,261,699],[1,2,3,4,15,60,
259,260,263,700],[1,2,4,6,18,60,259,262,263,701],[1,3,22,60,260,702],[1,3,5,6,
26,60,260,261,262,703],[1,3,24,60,260,704],[1,3,29,60,260,705],[1,5,41,60,261,
706],[1,5,6,42,60,261,262,707],[1,4,5,36,60,261,263,708],[1,5,43,60,261,709],[
1,5,44,60,261,710],[1,6,48,60,262,711],[1,10,90,712],[1,12,90,713],[1,13,90,
714],[1,2,3,9,14,21,22,61,67,91,264,294,299,715],[1,2,3,4,13,14,15,23,77,92,
320,716],[1,2,3,5,6,9,14,16,17,26,61,65,67,69,94,264,266,269,288,717],[1,2,3,
6,9,14,22,27,61,67,69,95,264,296,299,718],[1,2,3,4,9,14,15,23,61,63,64,67,68,
92,264,265,268,279,282,719],[1,2,3,4,9,14,24,25,61,67,68,93,264,295,298,720],[
1,2,3,4,6,9,14,15,17,18,28,61,63,66,67,68,96,264,267,270,279,292,721],[1,2,3,
4,9,14,25,29,61,67,68,97,264,295,297,722],[1,2,3,5,6,9,14,16,17,26,61,63,64,
65,66,94,265,266,267,278,281,723],[1,2,3,4,6,9,14,15,17,18,28,61,63,64,66,68,
69,96,265,267,268,269,270,280,283,724],[1,2,5,9,16,41,43,61,65,114,266,284,
286,725],[1,2,5,6,9,16,42,43,61,65,66,115,266,285,287,726],[1,2,3,4,5,6,9,15,
16,18,26,36,61,64,65,66,68,104,266,268,270,281,289,727],[1,2,5,6,9,16,42,43,
61,65,69,115,266,286,290,728],[1,2,5,6,9,16,42,44,61,65,66,116,266,285,291,
729],[1,2,6,9,17,47,48,61,69,119,269,301,302,730],[1,2,3,4,9,15,21,25,61,102,
303,731],[1,2,3,4,13,15,23,31,62,107,320,732],[1,2,5,13,16,41,43,62,83,114,
271,339,349,733],[1,2,4,5,7,8,13,16,19,20,36,45,62,77,83,86,88,117,271,272,
273,328,344,734],[1,2,5,8,13,16,44,46,62,83,88,118,271,341,347,735],[1,2,3,4,
5,6,13,15,16,18,26,36,62,81,83,84,85,104,271,274,275,333,343,736],[1,2,5,6,13,
16,42,44,62,83,84,116,271,340,346,737],[1,2,4,5,7,8,13,16,19,20,36,45,62,82,
83,87,89,117,271,276,277,336,345,738],[1,2,5,8,13,16,44,46,62,83,89,118,271,
342,348,739],[1,2,3,4,7,13,15,19,25,32,38,62,77,81,82,85,86,87,108,272,274,
276,327,330,334,337,740],[1,2,4,6,7,8,13,18,19,20,37,38,40,51,62,77,82,84,85,
86,89,122,272,275,277,329,331,337,350,741],[1,2,3,4,8,13,15,20,25,35,40,62,77,
81,82,85,88,89,112,273,274,277,327,331,335,338,742],[1,2,4,6,7,8,13,18,19,20,
37,38,40,51,62,77,82,84,85,87,88,122,273,275,276,329,330,338,351,743],[1,2,5,
9,16,41,43,63,65,114,278,284,287,744],[1,2,5,6,9,16,42,43,63,65,66,115,278,
285,286,745],[1,2,3,4,5,6,9,15,16,18,26,36,63,65,67,68,69,104,278,279,280,288,
289,746],[1,2,5,6,9,16,42,44,63,65,69,116,278,290,291,747],[1,2,3,4,9,15,21,
25,63,67,68,102,279,294,295,748],[1,2,3,4,6,9,15,18,25,27,37,63,67,68,69,105,
279,280,295,296,300,749],[1,2,3,4,9,15,22,29,63,67,68,106,279,297,299,750],[1,
2,3,4,9,15,22,24,63,67,68,103,279,298,299,751],[1,3,5,6,9,26,41,42,64,65,66,
154,281,284,285,752],[1,3,5,6,9,26,43,64,65,66,160,281,286,287,753],[1,3,5,6,
9,23,26,28,64,65,66,67,69,136,281,282,283,288,292,754],[1,3,5,6,9,26,28,42,49,
64,65,66,69,157,281,283,285,290,293,755],[1,3,5,6,9,26,43,44,64,65,66,161,281,
286,291,756],[1,3,9,21,23,24,64,67,123,282,294,298,757],[1,3,4,9,22,23,25,64,
67,68,129,282,295,299,758],[1,3,6,9,23,27,29,64,67,69,137,282,296,297,759],[1,
3,5,6,9,26,41,42,65,67,69,154,284,288,290,760],[1,4,5,9,36,41,44,65,68,197,
284,289,291,761],[1,3,5,6,9,26,28,42,49,65,66,67,69,157,285,288,292,293,762],[
1,4,5,6,9,36,42,43,65,66,68,198,285,286,289,763],[1,3,5,6,9,26,43,65,67,69,
160,286,288,764],[1,3,5,6,9,26,43,44,65,67,69,161,287,288,291,765],[1,4,5,6,9,
36,42,43,65,68,69,198,287,289,290,766],[1,3,5,6,9,21,26,27,65,67,69,124,288,
294,296,767],[1,3,4,5,6,9,25,26,36,37,65,67,68,69,149,288,289,295,300,768],[1,
3,5,6,9,24,26,29,65,67,69,143,288,297,298,769],[1,3,5,6,9,26,27,42,47,65,67,
69,155,288,290,296,301,770],[1,3,5,6,9,26,44,65,67,69,158,288,291,771],[1,3,5,
6,9,26,29,65,67,69,159,288,297,772],[1,3,5,6,9,26,48,65,67,69,156,288,302,
773],[1,3,5,6,9,22,26,65,67,69,130,288,299,774],[1,4,5,6,9,36,42,44,65,68,69,
199,289,290,291,775],[1,3,6,9,21,28,29,66,67,125,292,294,297,776],[1,3,4,6,9,
22,25,28,66,67,68,131,292,295,299,777],[1,3,6,9,24,27,28,66,67,69,144,292,296,
298,778],[1,3,6,9,27,28,29,66,67,69,170,292,296,297,779],[1,4,6,9,37,48,49,66,
68,69,204,293,300,302,780],[1,2,3,9,14,21,22,63,91,303,781],[1,3,9,21,23,24,
64,123,303,782],[1,3,5,6,9,21,26,27,65,124,303,783],[1,3,6,9,21,28,29,66,125,
303,784],[1,3,7,9,21,30,32,67,126,303,785],[1,3,4,9,21,31,33,68,127,303,786],[
1,3,6,8,9,21,34,35,69,128,303,787],[1,2,3,10,14,21,22,70,72,91,304,309,310,
788],[1,3,10,21,23,24,70,123,304,311,313,789],[1,2,3,4,10,15,21,25,70,72,73,
102,304,312,314,790],[1,3,7,10,21,30,32,70,74,126,304,315,317,791],[1,3,4,10,
21,31,33,70,73,127,304,316,318,792],[1,2,3,11,14,21,22,75,91,305,793],[1,3,7,
11,21,30,32,71,126,305,794],[1,3,4,11,21,31,33,76,127,305,795],[1,3,5,6,13,21,
26,27,83,124,306,796],[1,3,13,21,23,24,81,123,306,797],[1,3,6,13,21,28,29,84,
125,306,798],[1,2,3,4,11,15,21,25,71,75,76,102,307,321,322,799],[1,2,3,4,10,
14,15,23,70,72,73,92,309,311,312,800],[1,2,3,4,10,14,24,25,70,72,73,93,309,
313,314,801],[1,2,3,4,7,10,14,15,19,30,31,70,72,73,74,98,309,312,315,316,323,
802],[1,2,3,7,10,14,32,33,70,72,74,99,309,317,318,803],[1,3,4,10,22,23,25,70,
73,129,310,311,314,804],[1,2,3,4,10,15,22,24,70,72,73,103,310,312,313,805],[1,
3,7,10,22,30,33,70,74,132,310,315,318,806],[1,3,4,7,10,22,31,32,70,73,74,133,
310,316,317,807],[1,3,7,10,23,30,70,74,138,311,315,808],[1,2,3,4,10,15,23,31,
70,72,73,107,311,312,316,809],[1,3,4,10,23,25,33,70,73,139,311,314,318,810],[
1,3,7,10,23,24,32,70,74,140,311,313,317,811],[1,2,3,4,7,10,15,19,25,32,38,70,
72,73,74,108,312,314,317,323,324,812],[1,2,3,4,10,15,24,33,70,72,73,109,312,
313,318,813],[1,3,4,10,24,25,31,70,73,145,313,314,316,814],[1,3,7,10,24,30,70,
74,146,313,315,815],[1,3,4,7,10,25,30,31,38,70,73,74,150,314,315,316,324,
816],[1,3,7,10,30,32,55,70,74,181,315,317,325,817],[1,3,7,10,30,33,70,74,182,
315,318,818],[1,3,7,10,30,57,70,74,184,315,326,819],[1,3,7,10,30,55,57,70,74,
186,315,325,326,820],[1,3,4,7,10,31,32,33,70,73,74,188,316,317,318,821],[1,3,
4,12,22,23,25,78,129,319,822],[1,3,7,12,23,30,80,138,319,823],[1,3,4,12,23,25,
33,79,139,319,824],[1,3,13,21,23,24,81,123,320,825],[1,3,4,13,22,23,25,82,129,
320,826],[1,3,5,6,13,23,26,28,83,136,320,827],[1,3,6,13,23,27,29,84,137,320,
828],[1,3,7,13,23,30,86,138,320,829],[1,3,4,13,23,25,33,85,139,320,830],[1,3,
7,13,23,24,32,87,140,320,831],[1,3,6,8,13,23,28,34,88,141,320,832],[1,3,8,13,
23,29,35,89,142,320,833],[1,3,5,6,10,26,41,42,70,154,353,834],[1,3,5,6,11,26,
41,42,71,154,354,835],[1,3,6,8,11,34,47,53,71,193,356,836],[1,4,7,10,38,57,73,
74,207,324,326,837],[1,7,10,55,74,236,325,838],[1,7,10,55,57,74,237,325,326,
839],[1,7,10,55,57,74,238,325,326,840],[1,7,10,57,74,248,326,841],[1,7,10,57,
74,249,326,842],[1,3,4,5,6,13,25,26,36,37,77,81,82,83,84,149,327,328,329,333,
336,843],[1,4,5,13,36,41,44,77,83,197,328,339,341,844],[1,4,5,6,13,36,42,44,
77,83,84,199,328,340,342,845],[1,4,5,7,8,13,36,38,40,45,77,83,85,87,89,200,
328,330,331,343,345,846],[1,4,5,8,13,36,44,46,77,83,89,202,328,346,348,847],[
1,4,5,8,13,36,43,46,77,83,88,203,328,347,349,848],[1,3,5,6,13,26,41,42,81,83,
84,154,333,339,340,849],[1,3,5,6,13,26,44,81,83,84,158,333,341,342,850],[1,3,
5,6,7,8,13,26,32,35,45,51,81,83,84,86,87,88,89,164,333,334,335,344,345,350,
351,851],[1,3,5,6,13,26,43,44,81,83,84,161,333,346,349,852],[1,3,5,6,8,13,26,
35,46,53,81,83,84,88,89,168,333,335,347,348,352,853],[1,4,5,13,36,41,44,82,83,
197,336,339,342,854],[1,4,5,6,13,36,42,44,82,83,84,199,336,340,341,855],[1,4,
5,7,8,13,36,38,40,45,82,83,85,86,88,200,336,337,338,343,344,856],[1,4,5,8,13,
36,44,46,82,83,88,202,336,346,347,857],[1,4,5,8,13,36,43,46,82,83,89,203,336,
348,349,858],[1,4,5,13,36,41,44,83,85,197,339,343,346,859],[1,5,7,8,13,41,45,
46,83,86,88,213,339,344,347,860],[1,5,7,8,13,41,45,46,83,87,89,213,339,345,
348,861],[1,4,5,6,13,36,42,43,83,84,85,198,340,343,349,862],[1,5,6,7,8,13,42,
45,46,51,53,83,84,86,88,89,215,340,344,348,350,352,863],[1,5,6,7,8,13,42,45,
46,51,53,83,84,87,88,89,215,340,345,347,351,352,864],[1,4,5,8,13,36,44,46,83,
85,89,202,341,343,348,865],[1,5,7,8,13,43,44,45,83,86,88,216,341,344,349,
866],[1,5,7,8,13,44,45,83,87,89,217,341,345,346,867],[1,4,5,8,13,36,44,46,83,
85,88,202,342,343,347,868],[1,5,7,8,13,44,45,83,86,88,217,342,344,346,869],[1,
5,7,8,13,43,44,45,83,87,89,216,342,345,349,870],[1,2,5,10,16,41,43,72,114,353,
871],[1,4,5,10,36,41,44,73,197,353,872],[1,5,7,8,10,41,45,46,74,213,353,873],[
1,2,5,11,16,41,43,75,114,354,874],[1,4,5,11,36,41,44,76,197,354,875],[1,4,5,
12,36,41,44,78,197,355,876],[1,4,5,12,36,41,44,79,197,355,877],[1,5,7,8,12,41,
45,46,80,213,355,878],[1,5,7,8,13,45,55,56,83,218,359,879],[1,2,6,11,17,47,48,
75,119,356,880],[1,4,6,11,39,47,54,76,209,356,881],[1,4,6,12,37,48,49,78,204,
358,882],[1,4,6,12,37,49,54,79,206,358,883],[1,6,7,12,49,50,80,224,358,884],[
1,3,7,13,30,55,57,81,186,359,885],[1,6,7,13,50,55,58,84,231,359,886],[1,7,13,
55,86,236,359,887],[1,7,13,55,57,87,238,359,888],[1,7,8,13,55,56,88,239,359,
889],[1,7,8,13,55,56,58,89,241,359,890],[1,7,12,55,80,236,360,891],[1,7,8,12,
56,59,80,243,361,892],[1,7,12,57,80,249,893],[1,7,12,57,80,249,894],[1,7,13,
57,86,249,895],[1,7,12,58,80,252,896],[1,7,12,58,80,253,897],[1,9,10,11,12,13,
254,255,256,257,258,898],[1,5,41,90,362,899],[1,4,5,36,90,362,363,900],[1,5,
44,90,362,901],[1,2,9,60,63,259,364,902],[1,5,9,60,65,261,364,903],[1,3,9,60,
67,260,364,904],[1,4,9,60,68,263,364,905],[1,6,9,60,69,262,364,906],[1,2,10,
60,72,259,365,907],[1,3,10,60,70,260,365,908],[1,4,10,60,73,263,365,909],[1,2,
11,60,75,259,366,910],[1,3,11,60,71,260,366,911],[1,4,11,60,76,263,366,912],[
1,2,3,4,5,6,14,15,16,17,18,21,22,23,24,25,26,27,28,29,36,37,91,92,93,94,95,96,
97,102,103,104,105,106,123,124,125,129,130,131,136,137,143,144,149,367,368,
369,372,373,378,379,405,409,438,460,913],[1,2,3,4,7,14,15,19,21,22,23,24,25,
30,31,32,33,38,91,92,93,98,99,102,103,107,108,109,123,126,127,129,132,133,138,
139,140,145,146,150,367,370,374,375,380,396,398,406,410,439,461,914],[1,2,3,4,
6,8,14,15,17,18,20,21,22,23,24,25,28,29,31,33,34,35,39,40,91,92,93,96,97,100,
101,102,103,106,107,109,110,111,112,113,123,125,127,128,129,131,134,135,139,
141,142,145,147,148,151,152,153,367,369,371,376,377,381,382,406,407,408,411,
412,427,440,462,915],[1,2,3,5,6,14,16,17,21,22,26,27,41,42,43,47,48,91,94,95,
114,115,119,124,130,154,155,156,160,368,383,384,441,442,463,464,916],[1,2,3,5,
6,14,16,17,21,22,26,27,28,29,42,43,44,49,91,94,95,115,116,124,125,130,157,158,
159,161,170,368,385,386,443,444,465,466,917],[1,2,3,4,5,6,7,8,14,15,16,17,18,
19,20,21,22,26,27,30,31,32,33,34,35,36,39,45,50,51,91,94,95,98,99,100,101,104,
110,117,120,124,126,127,128,130,132,133,134,135,162,163,164,165,171,172,173,
368,370,371,387,388,391,392,445,446,467,468,918],[1,2,3,5,6,8,14,16,17,21,22,
26,27,34,35,42,44,46,52,53,54,91,94,95,116,118,121,124,128,130,166,167,168,
169,174,368,389,390,447,448,469,470,919],[1,2,3,4,6,7,14,15,17,18,19,21,22,25,
28,29,30,31,32,33,38,39,50,91,96,97,98,99,102,106,108,111,113,120,125,126,127,
131,132,133,150,151,153,175,176,179,369,370,393,394,395,396,401,408,428,449,
471,920],[1,2,3,4,7,14,15,19,21,22,25,30,31,32,33,38,55,91,98,99,102,108,126,
127,132,133,150,181,182,188,370,396,397,451,452,454,472,921],[1,2,3,4,7,14,15,
19,21,22,24,30,31,32,33,57,91,98,99,103,109,126,127,132,133,146,182,184,370,
398,402,453,454,473,474,922],[1,2,3,4,6,7,8,14,15,18,19,20,21,22,25,27,30,31,
32,33,34,35,37,38,40,51,56,91,98,99,100,101,105,112,122,126,127,128,132,133,
134,135,150,171,182,183,188,189,190,191,192,370,371,399,400,404,452,455,457,
475,476,479,923],[1,2,3,4,7,14,15,19,21,22,29,30,31,32,33,58,91,98,99,106,113,
126,127,132,133,179,182,185,370,401,403,454,456,477,478,924],[1,2,3,4,5,6,14,
15,16,17,18,23,26,28,36,41,42,43,44,49,92,94,96,104,114,115,116,136,154,157,
160,161,197,198,372,383,385,413,414,480,483,925],[1,2,3,4,5,6,14,15,16,17,18,
23,26,27,28,29,36,42,44,47,48,92,94,96,104,116,119,136,137,155,156,158,159,
170,199,372,384,386,415,416,481,482,926],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,
20,23,26,28,30,31,34,36,39,45,50,92,94,96,98,100,104,107,110,111,117,120,136,
138,141,162,163,175,372,374,376,387,393,417,484,927],[1,2,3,4,5,6,7,8,14,15,
16,17,18,19,20,23,24,25,26,28,29,32,33,35,36,37,38,40,45,51,92,93,94,96,97,99,
101,104,108,109,112,113,117,122,136,139,140,142,143,147,149,151,164,165,176,
200,372,375,377,378,381,388,394,418,419,485,486,928],[1,2,3,4,5,6,8,14,15,16,
17,18,23,26,28,34,36,42,43,44,46,49,52,92,94,96,104,115,116,118,136,141,157,
161,166,167,177,201,203,372,385,389,420,421,487,490,929],[1,2,3,4,5,6,8,14,15,
16,17,18,23,26,28,29,35,36,44,46,53,54,92,94,96,104,118,121,136,142,158,159,
168,169,178,202,372,386,390,422,423,488,489,930],[1,2,3,4,6,7,8,14,15,18,19,
20,22,23,25,27,29,30,31,33,34,35,37,38,40,51,92,95,97,98,100,101,105,106,107,
112,113,122,129,132,134,137,138,139,142,150,153,171,172,179,189,373,374,377,
391,395,399,401,424,427,461,491,931],[1,2,3,4,6,7,8,14,15,17,18,19,20,22,23,
24,25,27,28,29,31,32,33,34,37,38,39,40,50,51,92,93,95,96,97,99,100,103,105,
106,107,108,109,110,111,113,120,122,129,131,133,135,137,139,140,141,144,145,
148,151,152,153,172,173,176,205,373,375,376,379,382,392,394,410,411,424,425,
426,428,462,492,932],[1,2,3,4,7,14,15,19,23,30,31,32,33,55,57,92,98,99,107,
138,181,182,184,186,188,374,397,402,494,495,933],[1,2,3,4,7,8,14,15,19,23,30,
31,33,35,56,58,92,98,101,107,138,182,183,185,187,190,374,400,403,495,496,
934],[1,2,3,4,5,6,14,16,17,24,25,26,29,36,37,41,42,43,44,93,94,97,114,115,143,
149,154,158,159,160,197,199,378,383,386,497,500,513,516,935],[1,2,3,4,5,6,14,
16,17,24,25,26,27,28,29,36,37,42,43,44,47,48,49,93,94,97,115,116,119,143,144,
149,155,156,157,161,170,198,199,204,378,384,385,498,499,514,515,936],[1,2,3,4,
5,6,7,8,14,15,16,17,18,19,20,24,25,26,29,30,31,34,36,37,38,39,40,45,50,93,94,
97,98,100,104,110,117,120,143,145,146,148,149,150,152,153,162,163,179,189,200,
205,378,380,382,387,395,501,502,517,937],[1,2,3,4,5,6,8,14,16,17,24,25,26,28,
29,35,36,37,42,43,44,46,49,53,54,93,94,97,115,116,121,143,147,149,157,161,168,
169,178,202,203,206,378,385,390,503,506,518,521,938],[1,2,3,4,5,6,8,14,16,17,
24,25,26,29,34,36,37,42,44,46,52,93,94,97,116,118,143,148,149,158,159,166,167,
180,201,202,378,386,389,504,505,519,520,939],[1,2,3,4,6,7,8,14,15,17,18,19,20,
22,24,25,27,28,30,31,33,34,35,37,38,39,40,50,51,93,95,96,98,100,101,103,105,
109,111,112,120,122,131,132,134,144,145,146,147,150,151,171,172,175,189,379,
380,381,391,393,398,399,412,426,471,507,940],[1,2,3,4,7,14,15,19,21,24,25,30,
31,32,33,38,57,93,98,102,108,126,127,145,146,150,182,184,188,207,380,396,402,
452,453,509,522,941],[1,2,3,4,7,14,15,19,22,24,25,30,31,32,33,38,55,93,98,99,
103,109,132,133,145,146,150,181,182,188,380,397,398,472,473,509,510,942],[1,2,
3,4,6,7,8,14,15,18,19,20,24,25,27,30,31,33,34,35,37,38,40,51,58,93,98,100,105,
112,122,145,146,150,171,172,182,185,189,190,208,380,399,403,509,511,523,524,
943],[1,2,3,4,7,8,14,15,19,22,24,25,29,30,31,33,35,38,56,93,98,101,106,113,
132,134,145,146,150,179,182,183,190,380,400,401,473,475,512,525,944],[1,2,3,4,
5,6,7,8,14,15,16,17,18,19,20,26,30,31,34,36,39,41,42,43,44,45,46,50,52,94,98,
100,104,110,114,115,116,117,118,120,154,160,161,162,163,166,167,197,198,201,
203,213,214,216,383,387,389,413,420,431,432,528,529,549,550,945],[1,2,3,5,6,7,
8,14,16,17,26,32,33,35,41,42,43,45,46,51,53,54,94,99,101,114,115,121,154,160,
164,165,168,169,213,215,383,388,390,530,531,551,552,946],[1,2,3,4,5,6,7,8,14,
15,16,17,18,19,20,26,27,30,31,34,35,36,39,42,45,46,47,48,50,51,52,53,54,94,98,
100,104,110,117,119,120,121,155,156,162,163,166,168,169,171,174,193,196,209,
210,215,222,223,384,387,390,429,434,532,533,536,537,947],[1,2,3,5,6,7,8,14,16,
17,26,27,32,33,34,35,42,44,45,46,47,48,50,51,52,53,94,99,101,116,118,119,155,
156,164,165,166,167,173,174,214,215,222,384,388,389,534,535,538,539,948],[1,2,
3,4,5,6,7,8,14,15,16,17,18,19,20,26,28,30,31,34,36,39,42,43,44,45,49,50,52,94,
98,100,104,110,115,116,117,120,157,160,161,162,163,167,175,177,198,201,214,
216,224,385,387,414,421,432,540,541,549,949],[1,2,3,5,6,7,8,14,16,17,26,28,29,
32,33,35,42,43,44,45,49,51,94,99,101,115,116,157,158,159,161,164,165,176,178,
216,217,385,386,388,542,543,546,548,950],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,
20,26,29,30,31,34,36,39,44,45,50,94,98,100,104,110,117,120,158,159,162,163,
167,179,180,217,386,387,544,545,547,951],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,
20,21,25,26,27,30,31,32,34,35,36,37,38,39,40,45,50,51,94,98,100,102,104,105,
108,110,112,117,120,122,124,126,128,149,150,152,162,163,164,171,173,189,200,
205,387,396,399,405,407,418,425,445,517,952],[1,2,3,4,5,6,7,8,14,15,16,17,18,
19,20,26,30,31,32,33,34,35,36,39,45,50,51,55,56,94,98,99,100,101,104,110,117,
120,162,163,164,165,181,182,183,188,190,191,192,218,225,387,388,397,400,404,
553,554,561,953],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,20,22,24,26,29,30,31,33,
34,36,39,45,50,94,98,100,103,104,106,109,110,113,117,120,130,132,135,143,146,
148,162,163,165,179,387,398,401,409,411,419,467,502,954],[1,2,3,4,5,6,7,8,14,
15,16,17,18,19,20,26,27,30,31,34,35,36,39,42,44,45,46,47,50,51,52,53,94,98,
100,104,110,116,117,118,120,155,158,162,163,166,167,168,171,174,193,199,202,
215,217,222,387,389,415,422,433,532,544,562,955],[1,2,3,4,5,6,7,8,14,15,16,17,
18,19,20,26,30,31,34,35,36,39,45,46,50,53,54,56,59,94,98,100,104,110,117,120,
121,162,163,168,169,183,194,195,211,212,219,226,227,228,387,390,430,435,436,
555,556,563,956],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,20,26,29,30,31,34,36,39,
45,48,50,54,94,98,100,104,110,117,120,156,159,162,163,169,179,180,196,223,387,
416,423,536,547,957],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,20,26,30,31,34,36,39,
45,50,54,58,94,98,100,104,110,117,120,162,163,169,185,195,221,227,230,387,437,
556,558,958],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,20,26,30,31,33,34,36,39,45,50,
57,58,94,98,100,104,110,117,120,162,163,165,182,184,185,192,220,229,387,402,
403,554,557,959],[1,2,3,5,6,7,8,14,16,17,26,32,33,34,35,42,44,45,46,51,52,53,
54,56,59,94,99,101,116,118,121,164,165,166,167,168,169,191,194,215,219,235,
388,389,390,564,565,566,567,960],[1,2,3,4,6,7,8,14,15,19,21,22,25,27,30,31,32,
33,34,35,38,51,56,95,98,101,102,108,126,128,132,134,150,171,172,182,183,190,
191,391,396,400,454,455,475,524,961],[1,2,3,4,6,7,8,14,15,18,19,20,22,25,27,
30,31,32,33,34,35,37,38,40,50,51,55,56,95,98,99,100,101,105,112,122,132,133,
134,135,150,171,172,173,181,182,188,189,190,191,192,225,391,392,397,399,404,
472,476,479,524,570,574,962],[1,2,3,4,6,7,8,14,15,19,22,24,27,30,31,33,34,35,
51,58,95,98,101,103,109,132,134,135,146,171,172,182,185,192,391,398,403,473,
476,477,511,963],[1,2,3,4,6,7,8,14,15,19,22,27,29,30,31,33,34,35,51,57,95,98,
101,106,113,132,134,135,171,172,179,182,184,192,391,401,402,474,476,478,571,
964],[1,2,3,4,6,7,14,15,17,18,19,28,30,31,32,33,39,50,55,58,96,98,99,111,120,
175,181,182,185,188,231,393,397,403,577,578,965],[1,2,3,4,6,7,8,14,15,17,18,
19,28,30,31,33,35,39,50,56,57,96,98,101,111,120,175,182,183,184,190,232,393,
400,402,578,579,966],[1,2,3,4,6,7,8,14,15,17,18,19,28,30,31,39,50,53,54,56,58,
96,98,111,120,121,175,187,211,226,227,230,233,393,435,437,582,583,967],[1,2,3,
4,6,7,8,14,15,17,18,19,28,30,31,39,50,53,54,56,58,96,98,111,120,121,175,187,
212,227,228,230,234,393,436,437,583,584,968],[1,2,3,4,7,14,15,19,21,25,29,30,
31,32,33,38,58,97,98,102,108,126,127,150,153,179,182,185,188,208,395,396,403,
452,456,523,525,969],[1,2,3,4,7,14,15,19,22,25,29,30,31,32,33,38,55,97,98,99,
106,113,132,133,150,153,179,181,182,188,395,397,401,472,478,525,587,970],[1,2,
3,4,7,8,14,15,19,22,24,25,29,30,31,33,35,38,56,97,98,101,103,109,132,134,146,
150,153,179,182,183,190,395,398,400,475,478,509,512,971],[1,2,3,4,6,7,8,14,15,
18,19,20,25,27,29,30,31,33,34,35,37,38,40,51,57,97,98,100,105,112,122,150,153,
171,172,179,182,184,189,190,207,395,399,402,522,524,525,571,972],[1,2,3,4,5,6,
15,16,18,21,25,26,27,36,37,41,42,43,44,47,102,104,105,114,116,124,149,154,155,
158,161,197,198,199,405,413,415,441,444,513,514,973],[1,2,3,4,5,6,15,16,18,21,
25,26,27,28,29,36,37,42,43,48,49,102,104,105,115,124,125,149,156,157,159,160,
170,198,204,405,414,416,442,443,515,516,974],[1,2,3,4,5,6,15,16,18,21,23,24,
25,26,27,28,29,31,33,36,37,39,102,104,105,107,109,111,113,123,124,125,127,136,
137,139,143,144,145,149,151,153,163,165,172,405,406,408,417,419,424,426,438,
446,485,501,975],[1,2,3,4,5,6,8,15,16,18,21,25,26,27,34,35,36,37,42,43,44,46,
52,53,102,104,105,115,118,124,128,149,158,161,166,168,174,201,202,203,405,420,
422,444,447,520,521,976],[1,2,3,4,5,6,15,16,18,21,25,26,27,28,29,36,37,42,44,
49,54,102,104,105,116,124,125,149,157,159,167,169,170,201,206,405,421,423,443,
448,518,519,977],[1,2,3,4,6,8,15,17,20,21,25,34,35,39,40,47,48,53,54,59,102,
110,112,119,121,128,152,193,194,195,196,209,210,211,212,407,429,430,458,459,
526,527,978],[1,2,3,4,5,6,15,16,18,22,24,26,29,36,41,42,43,44,48,103,104,106,
114,116,130,143,154,156,159,161,197,198,409,413,416,463,466,497,499,979],[1,2,
3,4,5,6,15,16,18,22,24,26,27,28,29,36,42,43,44,47,49,103,104,106,115,116,130,
143,144,155,157,158,160,170,198,199,409,414,415,464,465,498,500,980],[1,2,3,4,
5,6,7,8,15,16,18,19,20,22,23,24,25,26,28,29,31,32,35,36,37,38,39,40,45,51,103,
104,106,107,108,111,112,117,122,129,130,131,133,134,136,140,142,143,145,147,
149,153,163,164,176,200,409,410,412,417,418,427,428,460,468,486,501,981],[1,2,
3,4,5,6,8,15,16,18,22,24,26,29,34,36,42,43,44,46,52,54,103,104,106,115,118,
130,143,148,159,161,166,169,180,201,203,409,420,423,466,469,504,506,982],[1,2,
3,4,5,6,8,15,16,18,22,24,26,28,29,35,36,42,44,46,49,53,103,104,106,116,118,
130,143,147,157,158,167,168,178,201,202,409,421,422,465,470,503,505,983],[1,2,
3,4,5,6,15,16,18,23,26,28,31,36,39,41,42,43,44,49,104,107,111,114,116,136,154,
157,161,163,167,197,198,201,413,417,421,480,490,529,541,984],[1,2,3,4,5,6,7,8,
15,16,18,19,20,25,26,32,35,36,37,38,40,41,42,43,44,45,46,51,53,104,108,112,
114,116,117,118,122,149,154,158,161,164,168,197,198,199,200,202,203,213,215,
216,217,413,418,422,431,433,513,521,530,546,604,605,985],[1,2,3,4,5,6,15,16,
18,24,26,29,33,36,41,42,43,44,54,104,109,113,114,116,143,154,159,161,165,169,
197,198,413,419,423,497,506,531,548,986],[1,2,3,4,5,6,8,15,16,18,23,26,28,31,
34,36,39,42,43,44,46,49,52,104,107,111,115,118,136,141,157,160,161,163,166,
177,198,201,203,414,417,420,483,487,541,550,987],[1,2,3,4,5,6,7,8,15,16,18,19,
20,25,26,28,29,32,35,36,37,38,40,42,43,45,49,51,54,104,108,112,115,117,122,
149,157,159,160,164,169,176,178,198,200,206,414,418,423,516,518,542,551,988],[
1,2,3,4,5,6,8,15,16,18,24,26,28,29,33,35,36,42,43,44,46,49,53,104,109,113,115,
118,143,147,157,158,160,165,168,178,198,202,414,419,422,500,503,543,552,989],[
1,2,3,4,5,6,15,16,18,23,26,27,28,29,31,36,39,42,44,47,54,104,107,111,116,136,
137,155,158,159,163,169,170,199,209,415,417,423,481,489,533,545,990],[1,2,3,4,
5,6,7,8,15,16,18,19,20,25,26,27,32,34,35,36,37,38,40,42,43,44,45,46,47,50,51,
52,53,104,108,112,115,116,117,118,122,149,155,158,161,164,166,173,174,198,199,
200,201,202,203,214,215,216,217,222,415,418,420,432,433,514,520,534,546,605,
606,991],[1,2,3,4,5,6,15,16,18,24,26,27,28,29,33,36,42,44,47,49,104,109,113,
116,143,144,155,157,158,165,167,170,199,201,415,419,421,498,505,535,543,992],[
1,2,3,4,5,6,8,15,16,18,23,26,28,29,31,35,36,39,44,46,48,53,104,107,111,118,
136,142,156,158,159,163,168,178,202,210,416,417,422,482,488,537,545,993],[1,2,
3,4,5,6,7,8,15,16,18,19,20,25,26,28,29,32,35,36,37,38,40,42,44,45,48,49,51,
104,108,112,116,117,122,149,156,157,159,164,167,176,178,200,201,204,416,418,
421,515,519,538,542,994],[1,2,3,4,5,6,8,15,16,18,24,26,29,33,34,36,42,43,44,
46,48,52,104,109,113,115,118,143,148,156,159,161,165,166,180,201,203,416,419,
420,499,504,539,548,995],[1,2,3,4,6,7,8,15,17,18,19,20,25,27,32,34,35,37,38,
39,40,47,48,50,51,52,53,54,56,59,105,108,110,119,120,121,122,152,173,174,191,
193,194,195,196,205,209,210,211,212,222,223,226,227,228,235,425,429,430,434,
435,436,526,527,575,576,611,612,613,996],[1,3,5,6,21,23,24,26,27,28,29,41,42,
47,49,123,124,125,136,137,143,144,154,155,157,159,170,438,441,443,480,481,497,
498,997],[1,3,5,6,21,23,24,26,27,28,29,43,44,48,123,124,125,136,137,143,144,
156,158,160,161,438,442,444,482,483,499,500,998],[1,3,5,6,7,8,21,23,24,26,27,
28,29,30,32,34,35,45,50,51,123,124,125,126,128,136,137,138,140,141,142,143,
144,146,147,148,162,164,171,173,175,176,179,438,439,440,445,449,484,486,491,
492,502,507,999],[1,3,5,6,8,21,23,24,26,27,28,29,34,35,42,46,49,52,53,123,124,
125,128,136,137,141,142,143,144,147,148,157,159,166,168,170,174,177,178,180,
438,440,443,447,450,487,488,493,503,504,508,1000],[1,3,5,6,21,23,24,26,27,28,
29,43,44,54,123,124,125,136,137,143,144,158,161,167,169,438,444,448,489,490,
505,506,1001],[1,3,7,21,23,24,30,32,55,57,123,126,138,140,146,181,184,186,439,
451,453,494,510,1002],[1,3,4,7,21,22,23,24,25,30,31,32,33,38,123,126,127,129,
132,138,139,140,146,150,182,188,439,452,454,461,473,495,509,1003],[1,3,6,7,8,
21,23,24,27,29,30,32,34,35,51,56,58,123,126,128,137,138,140,142,146,171,179,
183,185,187,191,439,455,456,491,496,511,512,1004],[1,3,5,6,7,8,21,26,27,30,32,
34,35,41,42,45,46,47,50,51,52,53,124,126,128,154,155,162,164,166,168,171,173,
174,193,213,214,215,222,441,445,447,528,530,532,534,1005],[1,3,4,5,6,21,26,27,
31,33,36,39,41,42,44,47,54,124,127,154,155,163,165,167,169,172,197,201,209,
441,446,448,529,531,533,535,1006],[1,3,5,6,7,8,21,26,27,30,32,34,35,43,44,45,
48,50,51,54,124,126,128,156,160,161,162,164,167,169,171,173,196,216,223,442,
445,448,536,538,549,551,1007],[1,3,4,5,6,8,21,26,27,31,33,34,35,36,39,42,43,
46,48,52,53,124,127,128,156,160,163,165,166,168,172,174,198,203,210,442,446,
447,537,539,550,552,1008],[1,3,5,6,7,8,21,26,27,28,29,30,32,34,35,42,45,49,50,
51,52,124,125,126,128,157,159,162,164,170,171,173,175,176,177,178,179,180,214,
224,443,445,449,450,540,542,547,568,569,1009],[1,3,4,5,6,21,26,27,28,29,31,33,
36,39,42,43,44,49,124,125,127,157,158,159,161,163,165,170,172,198,201,443,444,
446,541,543,545,548,1010],[1,3,5,6,7,8,21,26,27,30,32,34,35,43,44,45,50,51,
124,126,128,158,160,161,162,164,167,171,173,216,217,444,445,544,546,549,
1011],[1,3,5,6,7,8,21,26,27,30,32,34,35,45,50,51,55,56,124,126,128,162,164,
171,173,181,183,191,218,225,445,451,455,553,570,1012],[1,3,4,5,6,7,8,21,25,26,
27,30,31,32,33,34,35,36,37,38,39,40,45,50,51,124,126,127,128,149,150,152,162,
163,164,165,171,172,173,182,188,189,190,192,200,205,445,446,452,457,517,524,
554,561,574,1013],[1,3,5,6,7,8,21,24,26,27,29,30,32,34,35,45,50,51,57,58,124,
126,128,143,146,148,162,164,171,173,179,184,185,220,229,445,453,456,502,511,
557,571,1014],[1,3,5,6,7,8,21,22,26,27,30,32,33,34,35,45,50,51,124,126,128,
130,132,135,162,164,165,171,173,182,192,445,454,467,476,554,1015],[1,3,5,6,7,
8,21,26,27,30,32,34,35,42,45,46,47,50,51,52,53,56,59,124,126,128,155,162,164,
166,168,171,173,174,183,191,193,194,215,219,222,226,228,235,445,447,455,458,
532,555,564,572,575,1016],[1,3,5,6,7,8,21,26,27,30,32,34,35,44,45,50,51,54,
124,126,128,158,162,164,167,169,171,173,195,217,227,445,448,544,556,565,
1017],[1,3,5,6,7,8,21,26,27,29,30,32,34,35,45,50,51,58,124,126,128,159,162,
164,171,173,179,180,185,221,230,445,456,547,558,573,1018],[1,3,5,6,7,8,21,26,
27,30,32,34,35,45,48,50,51,54,124,126,128,156,162,164,169,171,173,195,196,223,
227,445,459,536,556,576,1019],[1,3,4,5,6,8,21,26,27,31,33,34,35,36,39,42,44,
46,52,53,54,124,127,128,163,165,166,167,168,169,172,174,199,202,211,212,446,
447,448,562,563,566,567,1020],[1,3,6,7,21,28,29,30,32,50,55,58,125,126,175,
176,179,181,185,231,449,451,456,577,587,1021],[1,3,4,6,7,21,22,25,28,29,30,31,
32,33,38,50,125,126,127,131,132,150,151,175,176,179,182,188,449,452,454,471,
478,525,578,1022],[1,3,6,7,8,21,24,27,28,29,30,32,34,35,50,51,56,57,125,126,
128,144,146,147,171,175,176,179,183,184,191,232,449,453,455,507,512,571,579,
1023],[1,3,6,7,8,21,27,28,29,30,32,34,35,50,51,56,58,125,126,128,170,171,175,
176,178,179,183,185,191,233,234,449,455,456,568,573,580,588,1024],[1,3,4,6,8,
21,28,29,31,33,34,35,37,40,48,49,52,54,125,127,128,177,178,180,189,190,192,
195,196,204,206,450,457,459,585,586,589,590,1025],[1,3,7,21,30,32,55,57,126,
181,186,236,237,238,451,591,592,1026],[1,3,7,8,21,30,32,55,56,58,126,181,187,
239,240,241,451,593,594,1027],[1,3,4,5,6,22,23,25,26,28,36,37,41,42,44,48,49,
129,130,131,136,149,154,156,157,158,197,199,204,460,463,465,480,482,513,515,
1028],[1,3,4,5,6,22,23,25,26,27,28,29,36,37,42,43,44,47,129,130,131,136,137,
149,155,159,160,161,170,198,199,460,464,466,481,483,514,516,1029],[1,3,4,5,6,
7,8,22,23,25,26,28,30,31,33,34,36,37,38,39,40,45,50,129,130,131,132,135,136,
138,139,141,149,150,151,152,162,163,165,175,189,200,205,460,461,462,467,471,
484,485,517,1030],[1,3,4,5,6,8,22,23,25,26,28,34,36,37,42,44,46,49,52,54,129,
130,131,136,141,149,157,158,166,169,177,201,202,206,460,465,469,487,489,518,
520,1031],[1,3,4,5,6,8,22,23,25,26,28,29,35,36,37,43,44,46,53,129,130,131,136,
142,149,159,161,167,168,178,202,203,460,466,470,488,490,519,521,1032],[1,3,4,
7,22,23,25,30,31,32,33,38,55,57,129,132,133,138,139,150,181,184,186,188,207,
461,472,474,494,522,1033],[1,3,4,7,8,22,23,25,30,31,33,35,38,56,58,129,132,
134,138,139,150,183,185,187,190,208,461,475,477,496,523,1034],[1,3,4,6,7,8,22,
23,25,27,29,30,31,33,34,35,38,51,129,132,135,137,138,139,142,150,171,172,179,
182,190,192,461,476,478,491,495,524,525,1035],[1,3,5,6,7,8,22,26,30,33,34,41,
42,45,46,48,50,52,54,130,132,135,154,156,162,165,166,169,196,213,214,223,463,
467,469,528,531,536,539,1036],[1,3,4,5,6,7,8,22,26,31,32,35,36,39,41,42,44,45,
46,48,51,53,130,133,134,154,156,163,164,167,168,197,201,210,213,215,463,468,
470,529,530,537,538,1037],[1,3,5,6,7,8,22,26,27,30,33,34,35,42,43,44,45,46,47,
50,51,52,53,130,132,135,155,160,161,162,165,166,167,168,171,174,193,215,216,
222,464,467,470,532,535,549,552,1038],[1,3,4,5,6,7,8,22,26,27,31,32,34,35,36,
39,42,43,45,46,47,50,51,52,53,54,130,133,134,155,160,163,164,166,169,173,174,
198,203,209,214,215,222,464,468,469,533,534,550,551,1039],[1,3,5,6,7,8,22,26,
28,30,33,34,42,44,45,49,50,52,130,132,135,157,158,162,165,167,175,177,214,217,
224,465,467,540,543,544,1040],[1,3,4,5,6,7,8,22,26,28,29,31,32,35,36,39,42,43,
44,45,49,51,130,133,134,157,158,159,161,163,164,176,178,198,201,216,217,465,
466,468,541,542,545,546,1041],[1,3,5,6,7,8,22,26,29,30,33,34,43,44,45,50,130,
132,135,159,160,161,162,165,167,179,180,216,466,467,547,548,549,1042],[1,3,4,
5,6,7,8,22,25,26,30,31,32,33,34,35,36,37,38,39,40,45,50,51,55,56,130,132,133,
134,135,149,150,152,162,163,164,165,181,183,188,189,190,191,200,205,218,225,
467,468,472,475,479,517,553,561,1043],[1,3,5,6,7,8,22,24,26,29,30,33,34,45,50,
130,132,135,143,146,148,162,165,179,182,192,467,473,478,502,554,1044],[1,3,5,
6,7,8,22,26,30,33,34,45,50,57,58,130,132,135,162,165,184,185,220,229,467,474,
477,557,1045],[1,3,5,6,7,8,22,26,27,30,33,34,35,42,45,46,47,50,51,52,53,54,
130,132,135,155,162,165,166,168,169,171,174,193,195,215,222,227,467,469,532,
556,566,1046],[1,3,5,6,7,8,22,26,30,33,34,35,44,45,46,50,53,56,59,130,132,135,
158,162,165,167,168,183,194,217,219,226,228,467,470,544,555,567,1047],[1,3,5,
6,7,8,22,26,29,30,33,34,45,50,54,130,132,135,159,162,165,169,179,180,195,227,
467,547,556,1048],[1,3,5,6,7,8,22,26,30,33,34,45,48,50,54,58,130,132,135,156,
162,165,169,185,196,221,223,230,467,536,558,1049],[1,3,4,5,6,7,8,22,26,31,32,
34,35,36,39,42,44,45,46,51,52,53,54,56,59,130,133,134,163,164,166,167,168,169,
191,194,199,202,211,212,215,219,235,468,469,470,562,563,564,565,1050],[1,3,4,
6,7,22,25,28,30,31,32,33,38,50,55,58,131,132,133,150,151,175,181,185,188,208,
231,471,472,477,523,577,1051],[1,3,4,6,7,8,22,24,25,27,28,30,31,33,34,35,38,
50,51,131,132,135,144,146,147,150,151,171,172,175,182,190,192,471,473,476,507,
509,524,578,1052],[1,3,4,6,7,8,22,25,28,30,31,33,35,38,50,56,57,131,132,134,
150,151,175,183,184,190,207,232,471,474,475,522,579,1053],[1,3,7,22,30,33,55,
57,132,184,186,237,238,248,249,474,597,598,1054],[1,3,7,8,22,30,33,56,57,58,
132,184,187,242,246,248,250,474,598,599,1055],[1,3,7,8,22,30,33,56,58,132,185,
187,244,247,251,252,477,601,603,1056],[1,3,7,8,22,30,33,56,58,132,185,187,245,
247,251,253,477,602,603,1057],[1,3,5,6,7,8,23,26,28,30,34,41,42,45,46,49,50,
52,136,138,141,154,157,162,166,175,177,213,214,224,480,484,487,528,540,1058],[
1,3,4,5,6,23,25,26,28,33,36,37,41,42,44,49,54,136,139,149,151,154,157,158,165,
169,197,199,206,480,485,489,513,518,531,543,1059],[1,3,5,6,7,8,23,24,26,28,29,
32,35,41,42,45,46,49,51,53,136,140,142,143,147,154,157,159,164,168,176,178,
213,215,480,486,488,497,503,530,542,1060],[1,3,5,6,7,8,23,26,27,28,29,30,34,
35,42,45,46,47,50,51,52,53,136,137,138,141,142,155,159,162,166,168,170,171,
174,175,178,179,180,193,215,222,481,484,488,491,493,532,547,568,1061],[1,3,4,
5,6,23,25,26,27,28,29,33,36,37,42,43,44,47,136,137,139,149,151,155,159,161,
165,167,170,198,199,481,485,490,514,519,535,548,1062],[1,3,5,6,7,8,23,24,26,
27,28,29,32,34,35,42,45,46,47,49,50,51,52,53,136,137,140,141,142,143,144,147,
148,155,157,159,164,166,170,173,174,176,177,178,180,214,215,222,481,486,487,
492,493,498,504,508,534,542,569,1063],[1,3,5,6,7,8,23,26,28,30,34,44,45,48,50,
54,136,138,141,156,158,162,167,169,175,196,217,223,482,484,489,536,544,1064],[
1,3,4,5,6,8,23,25,26,28,33,34,36,37,42,44,46,48,49,52,136,139,141,149,151,156,
157,158,165,166,177,201,202,204,482,485,487,515,520,539,543,1065],[1,3,5,6,7,
8,23,24,26,28,29,32,35,43,44,45,48,51,136,140,142,143,147,156,158,161,164,167,
176,216,217,482,486,490,499,505,538,546,1066],[1,3,5,6,7,8,23,26,28,30,34,43,
44,45,50,136,138,141,160,161,162,167,175,216,483,484,490,549,1067],[1,3,4,5,6,
8,23,25,26,28,29,33,35,36,37,43,44,46,53,136,139,142,149,151,159,160,161,165,
168,178,202,203,483,485,488,516,521,548,552,1068],[1,3,5,6,7,8,23,24,26,28,29,
32,35,43,44,45,51,54,136,140,142,143,147,158,160,161,164,169,176,216,217,483,
486,489,500,506,546,551,1069],[1,3,5,6,7,8,23,26,28,30,32,34,35,45,50,51,55,
56,57,58,136,138,141,162,164,175,181,183,184,185,186,187,191,218,220,225,229,
231,232,484,494,496,553,557,559,577,579,581,1070],[1,3,5,6,7,8,23,26,28,30,33,
34,45,50,136,138,141,162,165,175,182,192,484,495,554,578,1071],[1,3,5,6,7,8,
23,26,28,30,34,35,45,46,50,53,56,58,59,136,138,141,162,168,175,183,185,187,
194,219,221,226,228,230,233,234,484,496,555,558,560,580,582,584,1072],[1,3,5,
6,7,8,23,26,28,30,34,45,50,54,136,138,141,162,169,175,195,227,484,556,583,
1073],[1,3,6,7,8,23,27,29,30,32,34,35,50,51,55,56,57,137,138,142,171,173,179,
181,184,186,191,225,491,494,570,571,587,1074],[1,3,6,7,8,23,27,29,30,34,35,51,
52,53,56,58,59,137,138,142,171,174,179,183,185,187,194,235,491,496,572,573,
588,1075],[1,3,7,23,30,32,55,57,138,181,184,186,236,237,238,249,494,591,597,
1076],[1,3,7,23,30,32,33,55,57,138,181,182,184,186,494,495,1077],[1,3,7,23,30,
32,55,57,138,181,184,186,237,494,592,1078],[1,3,7,23,30,32,55,57,138,181,184,
186,248,494,598,1079],[1,3,7,8,23,30,32,35,55,56,57,58,138,181,183,184,185,
186,187,239,240,241,242,246,250,494,496,593,595,599,600,1080],[1,3,7,23,30,32,
55,57,58,138,181,184,186,240,494,594,1081],[1,3,7,8,23,30,33,35,56,58,138,182,
183,185,187,495,496,1082],[1,3,7,8,23,30,35,56,58,59,138,183,185,187,243,244,
245,247,252,253,496,596,601,602,1083],[1,3,7,8,23,30,35,56,58,138,183,185,187,
251,496,603,1084],[1,3,4,5,6,24,25,26,29,31,36,37,39,41,42,44,143,145,149,153,
154,158,159,163,167,197,199,201,497,501,505,513,519,529,545,1085],[1,3,5,6,7,
8,24,26,29,30,34,41,42,45,46,50,52,143,146,148,154,159,162,166,179,180,213,
214,497,502,504,528,547,1086],[1,3,4,5,6,24,25,26,27,28,29,31,36,37,39,42,43,
44,47,49,54,143,144,145,149,153,155,157,161,163,169,170,198,199,201,206,209,
498,501,506,514,518,533,541,1087],[1,3,5,6,7,8,24,26,27,28,29,30,34,35,42,45,
46,47,49,50,51,52,53,143,144,146,147,148,155,157,162,166,168,170,171,174,175,
177,178,179,193,214,215,222,224,498,502,503,507,508,532,540,568,1088],[1,3,4,
5,6,8,24,25,26,28,29,31,35,36,37,39,42,43,44,46,48,49,53,143,145,147,149,153,
156,157,161,163,168,178,198,201,202,203,204,210,499,501,503,515,521,537,541,
1089],[1,3,5,6,7,8,24,26,29,30,34,43,44,45,48,50,54,143,146,148,156,160,161,
162,167,169,179,196,216,223,499,502,506,536,549,1090],[1,3,4,5,6,8,24,25,26,
29,31,34,36,37,39,42,43,44,46,52,143,145,148,149,153,158,159,160,163,166,180,
198,201,202,203,500,501,504,516,520,545,550,1091],[1,3,5,6,7,8,24,26,29,30,34,
43,44,45,50,143,146,148,158,160,161,162,167,179,216,217,500,502,505,544,549,
1092],[1,3,4,5,6,7,8,24,25,26,29,30,31,33,34,36,37,38,39,40,45,50,143,146,148,
149,150,152,162,163,165,179,182,189,192,200,205,502,509,517,525,554,1093],[1,
3,5,6,7,8,24,26,29,30,32,34,35,45,50,51,55,56,143,146,148,162,164,179,181,183,
191,218,225,502,510,512,553,587,1094],[1,3,5,6,7,8,24,26,27,29,30,34,35,42,45,
46,47,50,51,52,53,58,143,146,148,155,162,166,168,171,174,179,185,193,215,221,
222,230,502,511,532,558,573,1095],[1,3,5,6,7,8,24,26,29,30,34,35,45,46,50,53,
56,59,143,146,148,159,162,168,179,180,183,194,219,226,228,502,512,547,555,588,
1096],[1,3,5,6,7,8,24,26,29,30,34,45,48,50,54,143,146,148,156,162,169,179,195,
196,223,227,502,536,556,1097],[1,3,5,6,7,8,24,26,29,30,34,44,45,50,54,143,146,
148,158,162,167,169,179,195,217,227,502,544,556,1098],[1,3,6,7,8,24,27,28,30,
32,34,35,50,51,55,56,58,144,146,147,171,173,175,181,185,191,225,231,507,510,
511,570,577,1099],[1,3,6,7,8,24,27,28,29,30,34,35,50,51,52,53,56,58,59,144,
146,147,170,171,174,175,178,179,183,185,194,233,234,235,507,511,512,568,572,
573,580,1100],[1,3,7,24,30,32,55,57,146,181,186,236,237,238,510,591,592,
1101],[1,3,7,8,24,30,32,55,56,58,146,181,187,239,240,241,510,593,594,1102],[1,
3,4,5,6,7,8,25,26,30,31,34,36,37,38,39,40,41,42,44,45,46,50,52,149,150,152,
154,158,162,163,166,167,189,197,199,200,201,202,205,213,214,217,513,517,520,
528,529,544,562,604,606,1103],[1,3,4,5,6,7,8,25,26,27,30,31,34,35,36,37,38,39,
40,42,43,44,45,46,47,50,51,52,53,149,150,152,155,160,161,162,163,166,167,168,
171,174,189,193,198,199,200,202,203,205,215,216,222,514,517,521,532,549,550,
562,605,1104],[1,3,4,5,6,7,8,25,26,28,30,31,34,36,37,38,39,40,42,45,48,49,50,
52,54,149,150,152,156,157,162,163,169,175,177,189,196,200,204,205,206,214,223,
224,515,517,518,536,540,585,609,1105],[1,3,4,5,6,7,8,25,26,29,30,31,34,36,37,
38,39,40,43,44,45,50,149,150,152,159,160,161,162,163,167,179,180,189,200,205,
216,516,517,519,547,549,1106],[1,3,4,5,6,7,8,25,26,30,31,34,36,37,38,39,40,45,
50,57,58,149,150,152,162,163,184,185,189,200,205,207,208,220,229,517,522,523,
557,607,610,1107],[1,3,4,5,6,7,8,25,26,27,30,31,34,35,36,37,38,39,40,42,45,46,
47,50,51,52,53,54,149,150,152,155,162,163,166,168,169,171,174,189,193,195,200,
205,209,211,212,215,222,227,517,526,532,533,556,563,611,1108],[1,3,4,5,6,7,8,
25,26,30,31,34,35,36,37,38,39,40,45,46,48,50,53,54,56,59,149,150,152,156,162,
163,168,169,183,189,194,196,200,205,210,211,212,219,223,226,228,517,527,536,
537,555,563,612,613,1109],[1,3,4,5,6,7,8,25,26,29,30,31,34,36,37,38,39,40,45,
50,54,149,150,152,159,162,163,169,179,180,189,195,200,205,227,517,547,556,589,
1110],[1,3,4,5,6,7,8,25,26,30,31,34,36,37,38,39,40,44,45,50,58,149,150,152,
158,162,163,167,185,189,200,205,217,221,230,517,544,558,608,1111],[1,3,4,7,25,
30,31,38,55,57,150,184,186,207,237,238,248,249,522,597,598,614,616,1112],[1,3,
4,7,8,25,30,31,38,56,57,58,150,184,187,207,242,246,248,250,522,598,599,615,
617,1113],[1,3,4,7,8,25,30,31,38,56,58,150,185,187,208,244,247,251,252,523,
601,603,618,621,1114],[1,3,4,7,8,25,30,31,38,56,58,150,185,187,208,245,247,
251,253,523,602,603,619,620,1115],[1,3,5,6,7,8,26,30,32,34,35,41,42,45,46,50,
51,52,53,55,56,59,154,162,164,166,168,181,183,191,194,213,214,215,218,219,225,
226,228,235,528,530,553,555,564,622,624,1116],[1,3,5,6,7,8,26,30,33,34,41,42,
45,46,50,52,54,154,162,165,166,169,182,192,195,213,214,227,528,531,554,556,
566,1117],[1,3,5,6,7,8,26,30,34,41,42,45,46,50,52,57,58,154,162,166,184,185,
213,214,220,221,229,230,528,557,558,623,625,1118],[1,3,5,6,7,8,26,30,34,41,42,
45,46,50,52,55,56,57,58,59,154,162,166,186,187,213,214,218,219,220,221,231,
232,233,234,528,559,560,622,623,626,627,1119],[1,3,4,5,6,7,8,26,31,32,33,35,
36,39,41,42,44,45,46,51,53,54,154,163,164,165,167,168,169,188,190,197,201,211,
212,213,215,529,530,531,561,563,565,567,1120],[1,3,5,6,7,8,26,27,30,32,34,35,
42,45,46,47,50,51,52,53,55,56,59,155,162,164,166,168,171,173,174,181,183,191,
193,194,214,215,218,219,222,225,226,228,235,532,534,553,564,570,572,575,624,
641,1121],[1,3,5,6,7,8,26,27,30,33,34,35,42,44,45,46,47,50,51,52,53,155,158,
162,165,166,167,168,171,174,182,192,193,215,217,222,532,535,544,554,567,
1122],[1,3,5,6,7,8,26,27,29,30,34,35,42,45,46,47,50,51,52,53,57,58,155,159,
162,166,168,171,174,179,180,184,185,193,215,220,222,229,532,547,557,571,573,
1123],[1,3,5,6,7,8,26,27,30,33,34,35,42,45,46,47,48,50,51,52,53,54,155,156,
162,165,166,168,169,171,174,182,192,193,196,215,222,223,532,536,539,554,566,
1124],[1,3,4,5,6,7,8,26,27,31,32,33,34,35,36,39,42,44,45,46,47,50,51,52,53,54,
155,163,164,165,166,167,169,173,174,188,190,199,202,209,214,215,222,533,534,
535,561,562,565,566,1125],[1,3,5,6,7,8,26,30,32,34,35,44,45,48,50,51,54,55,56,
156,158,162,164,167,169,181,183,191,196,217,218,223,225,536,538,544,553,565,
1126],[1,3,5,6,7,8,26,29,30,33,34,45,48,50,54,156,159,162,165,169,179,180,182,
192,196,223,536,547,554,590,1127],[1,3,5,6,7,8,26,30,34,45,48,50,54,57,58,156,
162,169,184,185,196,220,223,229,536,557,642,1128],[1,3,4,5,6,7,8,26,31,32,33,
34,35,36,39,42,44,45,46,48,51,52,53,56,59,156,163,164,165,166,167,168,188,190,
191,194,199,202,210,215,219,235,537,538,539,561,562,564,567,1129],[1,3,5,6,7,
8,26,28,30,32,34,35,42,45,49,50,51,52,55,56,58,157,162,164,175,177,181,183,
185,191,214,218,221,224,225,230,231,233,234,540,553,558,577,580,626,643,
1130],[1,3,5,6,7,8,26,28,30,33,34,42,45,49,50,52,54,157,162,165,169,175,177,
182,192,195,214,224,227,540,554,556,586,1131],[1,3,5,6,7,8,26,28,30,34,35,42,
45,46,49,50,52,53,56,57,58,59,157,162,168,175,177,183,184,185,194,214,219,220,
224,226,228,229,232,233,234,540,555,557,579,580,627,644,645,1132],[1,3,5,6,7,
8,26,28,30,34,42,45,46,49,50,51,52,53,55,56,57,58,59,157,162,175,177,186,187,
214,215,218,219,220,221,224,225,226,228,229,230,231,232,233,234,235,540,559,
560,581,582,584,624,625,626,627,643,644,645,1133],[1,3,5,6,7,8,26,29,30,33,34,
44,45,50,158,159,162,165,167,179,180,182,192,217,544,547,554,1134],[1,3,5,6,7,
8,26,30,34,44,45,50,57,58,158,162,167,184,185,217,220,229,544,557,628,1135],[
1,3,5,6,7,8,26,29,30,32,34,35,45,50,51,55,56,159,162,164,179,180,181,183,191,
218,225,547,553,587,588,1136],[1,3,5,6,7,8,26,30,32,34,35,43,44,45,50,51,54,
55,56,160,161,162,164,167,169,181,183,191,195,216,218,225,227,549,551,553,556,
565,1137],[1,3,5,6,7,8,26,30,33,34,35,43,44,45,46,50,53,56,59,160,161,162,165,
167,168,182,183,192,194,216,219,226,228,549,552,554,555,567,1138],[1,3,5,6,7,
8,26,30,34,43,44,45,50,54,57,58,160,161,162,167,169,184,185,195,216,220,227,
229,549,556,557,1139],[1,3,5,6,7,8,26,30,33,34,43,44,45,50,58,160,161,162,165,
167,182,185,192,216,221,230,549,554,558,1140],[1,3,4,5,6,7,8,26,31,32,33,34,
35,36,39,42,43,45,46,51,52,53,54,56,59,160,163,164,165,166,168,169,188,190,
191,194,198,203,211,212,215,219,235,550,551,552,561,563,564,566,1141],[1,3,5,
6,7,8,26,30,32,34,35,45,50,51,55,56,57,58,162,164,181,183,186,187,191,218,220,
225,231,232,236,237,238,239,240,241,242,246,553,559,591,593,595,629,630,631,
646,648,649,1142],[1,3,5,6,7,8,26,30,32,34,35,45,50,51,55,56,57,58,162,164,
181,183,191,218,220,225,237,240,246,553,592,594,630,647,1143],[1,3,5,6,7,8,26,
30,32,34,35,45,46,50,51,55,56,58,59,162,164,181,183,187,191,218,219,221,225,
233,234,239,240,241,243,244,245,247,553,560,593,596,632,633,634,650,652,653,
1144],[1,3,5,6,7,8,26,30,32,34,35,45,50,51,55,56,58,162,164,181,183,191,218,
221,225,240,247,553,594,633,651,1145],[1,3,5,6,7,8,26,30,34,35,45,46,50,53,55,
56,57,58,59,162,168,183,186,187,194,218,219,220,221,226,228,231,232,233,234,
239,241,242,243,244,245,246,247,555,559,560,595,596,632,634,635,636,654,655,
656,657,1146],[1,3,5,6,7,8,26,30,34,45,50,55,56,57,58,162,184,185,186,187,218,
220,229,231,232,237,238,240,241,242,246,249,250,557,559,597,599,600,630,631,
639,658,659,661,1147],[1,3,5,6,7,8,26,30,34,45,50,57,58,162,184,185,220,229,
248,557,598,637,660,1148],[1,3,5,6,7,8,26,30,34,45,46,50,56,57,58,59,162,184,
185,187,219,220,221,229,233,234,242,244,245,246,247,250,252,253,557,560,599,
601,602,635,636,640,662,663,664,1149],[1,3,5,6,7,8,26,30,34,45,50,57,58,162,
184,185,220,229,251,557,603,638,665,1150],[1,3,5,6,7,8,26,30,34,45,46,50,55,
56,57,58,59,162,185,186,187,218,219,220,221,230,231,232,233,234,240,241,244,
245,246,247,250,252,253,558,559,560,600,601,602,633,634,636,640,666,667,668,
669,1151],[1,3,6,7,8,27,28,29,30,32,34,35,50,51,55,56,58,170,171,173,175,178,
179,181,185,191,225,231,568,570,573,577,587,1152],[1,3,6,7,8,27,28,29,30,34,
35,50,51,52,53,56,57,59,170,171,174,175,178,179,183,184,194,232,235,568,571,
572,579,588,1153],[1,3,4,6,7,8,27,28,29,31,32,33,34,37,40,48,49,50,51,52,54,
170,172,173,176,177,180,188,189,192,195,196,204,206,223,227,569,574,576,585,
586,589,590,1154],[1,3,6,7,8,27,30,32,34,35,50,51,55,56,57,58,171,173,181,186,
191,225,231,236,237,238,240,241,570,591,594,646,647,1155],[1,3,6,7,8,27,30,32,
34,35,50,51,55,56,57,58,171,173,181,187,191,225,232,237,239,240,241,242,570,
592,593,647,649,1156],[1,3,6,7,8,27,30,32,34,35,50,51,55,56,58,171,173,181,
187,191,225,233,239,240,241,245,570,593,594,650,651,1157],[1,3,6,7,8,27,30,32,
34,35,50,51,55,56,58,171,173,181,187,191,225,234,239,240,241,244,570,593,594,
651,653,1158],[1,3,6,7,8,28,30,32,50,51,55,56,57,58,175,181,185,186,187,225,
229,231,232,236,237,238,239,240,241,246,250,577,581,591,593,600,646,648,658,
659,1159],[1,3,6,7,28,30,32,50,55,57,58,175,181,185,231,237,240,577,592,594,
1160],[1,3,6,7,8,28,30,32,50,53,55,56,58,175,181,185,187,226,230,231,233,239,
240,241,244,247,252,577,582,593,601,654,668,1161],[1,3,6,7,28,30,32,50,54,55,
58,175,181,185,227,231,577,583,1162],[1,3,6,7,28,30,32,50,55,58,175,181,185,
231,240,577,594,1163],[1,3,6,7,8,28,30,32,50,53,55,56,58,175,181,185,187,228,
230,231,234,239,240,241,245,247,253,577,584,593,602,656,666,1164],[1,3,6,7,28,
30,32,50,55,58,175,181,185,231,240,577,594,1165],[1,3,6,7,28,30,32,50,55,58,
175,181,185,231,251,577,603,1166],[1,3,6,7,8,28,30,33,50,53,54,56,58,175,182,
187,226,227,230,233,578,582,583,1167],[1,3,6,7,8,28,30,33,50,53,54,56,58,175,
182,187,227,228,230,234,578,583,584,1168],[1,3,6,7,8,28,30,35,50,51,55,56,57,
58,175,183,184,186,187,225,229,231,232,237,238,239,241,242,246,249,250,579,
581,595,597,599,648,649,659,661,1169],[1,3,6,7,8,28,30,35,50,56,57,175,183,
184,232,248,579,598,1170],[1,3,6,7,8,28,30,35,50,53,56,57,58,59,175,183,184,
187,226,228,230,232,233,234,242,243,244,245,246,247,250,579,582,584,596,599,
655,657,667,669,1171],[1,3,6,7,8,28,30,35,50,54,56,57,175,183,184,227,232,579,
583,1172],[1,3,6,7,8,28,30,35,50,51,53,55,56,57,58,59,175,183,185,186,187,225,
226,229,230,231,232,233,234,239,240,241,242,243,244,245,246,247,250,253,580,
581,582,595,596,600,602,650,652,654,655,662,664,666,667,1173],[1,3,6,7,8,28,
30,35,50,51,53,55,56,57,58,59,175,183,185,186,187,225,228,229,230,231,232,233,
234,239,240,241,242,243,244,245,246,247,250,252,580,581,584,595,596,600,601,
652,653,656,657,662,663,668,669,1174],[1,3,7,29,30,32,55,57,58,179,181,186,
236,237,238,240,587,591,594,1175],[1,3,7,8,29,30,32,55,56,57,58,179,181,187,
237,239,240,241,587,592,593,1176],[1,3,7,8,29,30,32,55,56,58,179,181,187,239,
240,241,587,593,594,1177],[1,3,7,8,29,30,32,55,56,58,179,181,187,239,240,241,
587,593,594,1178],[1,4,5,7,8,36,38,40,41,44,45,46,57,58,197,200,202,207,208,
213,217,220,221,604,607,608,623,628,1179],[1,4,5,6,7,8,36,38,40,42,44,45,50,
52,57,58,199,200,201,207,208,214,217,220,221,229,230,606,607,608,625,628,
1180],[1,4,5,7,8,36,38,40,45,55,56,57,58,200,207,208,218,220,238,241,242,248,
607,614,615,631,637,1181],[1,4,5,7,8,36,38,40,45,46,56,57,58,59,200,207,208,
219,220,242,244,245,251,607,618,619,635,638,1182],[1,4,5,7,8,36,38,40,45,57,
58,200,207,208,220,248,249,250,607,616,617,637,639,1183],[1,4,5,7,8,36,38,40,
45,57,58,200,207,208,220,221,250,251,252,253,607,620,621,638,640,1184],[1,4,6,
7,8,37,38,39,48,49,50,53,54,56,57,58,204,205,206,207,208,210,211,223,224,228,
229,232,233,609,610,612,642,645,1185],[1,4,6,7,8,37,38,39,48,49,50,53,54,56,
57,58,204,205,206,207,208,210,212,223,224,226,229,232,234,609,610,613,642,644,
1186],[1,4,6,7,37,38,39,50,55,57,58,205,207,208,229,231,238,240,248,250,610,
614,617,658,660,1187],[1,4,6,7,8,37,38,39,50,56,57,58,205,207,208,229,232,242,
246,248,249,610,615,616,660,661,1188],[1,4,6,7,8,37,38,39,50,56,57,58,205,207,
208,229,233,244,246,251,253,610,618,620,664,665,1189],[1,4,6,7,8,37,38,39,50,
56,57,58,205,207,208,229,234,245,246,251,252,610,619,621,663,665,1190],[1,5,7,
8,41,45,46,55,56,59,213,218,219,236,239,243,622,629,632,1191],[1,5,7,8,41,45,
46,55,56,57,58,59,213,218,219,220,221,237,240,246,247,622,623,630,633,636,
1192],[1,5,7,8,41,45,46,55,56,57,58,59,213,218,219,220,221,238,241,242,244,
245,622,623,631,634,635,1193],[1,5,7,8,41,45,46,57,58,213,220,221,248,251,623,
637,638,1194],[1,5,7,8,41,45,46,57,58,213,220,221,249,250,252,253,623,639,640,
1195],[1,5,6,7,8,42,45,46,50,51,52,53,55,56,58,59,214,215,218,219,221,225,226,
228,231,233,234,235,236,239,240,241,244,245,247,624,626,629,633,634,646,650,
653,654,656,1196],[1,5,6,7,8,42,45,46,50,51,52,53,55,56,57,58,59,214,215,218,
219,220,221,225,226,228,235,237,240,246,247,624,630,633,647,651,1197],[1,5,6,
7,8,42,45,46,50,51,52,53,55,56,57,58,59,214,215,218,219,220,221,225,226,228,
231,232,233,234,235,238,239,241,242,243,244,245,246,247,624,626,627,631,632,
634,636,648,652,654,655,656,657,1198],[1,5,6,7,8,42,45,46,50,51,52,53,55,56,
57,58,59,214,215,218,219,220,225,226,228,232,233,234,235,237,239,240,242,243,
244,245,246,624,627,630,632,635,649,650,653,655,657,1199],[1,5,6,7,8,42,45,50,
52,55,56,57,58,214,218,220,221,229,230,231,233,234,238,240,241,242,247,250,
252,253,625,626,631,633,640,658,662,666,668,1200],[1,5,6,7,8,42,45,46,50,52,
55,56,57,58,59,214,218,219,220,221,229,230,231,232,233,234,237,240,241,244,
245,246,247,250,252,253,625,626,627,630,634,636,640,659,663,664,666,667,668,
669,1201],[1,5,6,7,8,42,45,50,52,57,58,214,220,221,229,230,248,251,625,637,
638,1202],[1,5,6,7,8,42,45,46,50,52,56,57,58,59,214,219,220,221,229,230,232,
233,234,242,244,245,246,247,249,250,625,627,635,636,639,661,662,667,669,
1203],[1,5,7,8,44,45,55,56,57,58,217,218,220,238,241,242,251,628,631,638,
1204],[1,5,7,8,44,45,57,58,217,220,221,248,250,252,253,628,637,640,1205],[1,5,
7,8,44,45,46,56,57,58,59,217,219,220,242,244,245,248,628,635,637,1206],[1,5,7,
8,44,45,57,58,217,220,249,250,251,628,638,639,1207],[1,6,7,8,47,50,51,52,53,
55,56,58,59,222,225,231,235,236,240,241,641,646,651,1208],[1,6,7,8,47,50,51,
52,53,55,56,57,58,59,222,225,232,233,234,235,237,239,240,242,244,245,641,647,
649,650,651,653,1209],[1,6,7,48,50,54,55,57,58,223,229,231,238,240,250,251,
642,658,665,1210],[1,6,7,8,48,50,54,56,57,58,223,229,233,244,246,248,253,642,
660,664,1211],[1,6,7,8,48,50,54,56,57,58,223,229,232,242,246,249,251,642,661,
665,1212],[1,6,7,8,48,50,54,56,57,58,223,229,234,245,246,248,252,642,660,663,
1213],[1,6,7,8,49,50,51,55,56,58,59,224,225,230,231,233,234,236,240,241,243,
247,252,253,643,646,652,666,668,1214],[1,6,7,8,49,50,51,53,55,56,57,58,224,
225,228,229,230,231,232,233,234,238,239,240,241,245,246,247,250,252,643,645,
648,650,656,658,663,667,668,1215],[1,6,7,8,49,50,51,53,55,56,57,58,59,224,225,
226,228,229,230,231,232,233,234,237,239,241,242,243,244,245,246,247,250,643,
644,645,649,652,654,655,656,657,659,662,667,669,1216],[1,6,7,8,49,50,51,53,55,
56,57,58,224,225,226,229,230,231,232,233,234,238,239,240,241,244,246,247,250,
253,643,644,648,653,654,658,664,666,669,1217],[1,6,7,8,49,50,53,56,57,58,59,
224,226,229,232,234,242,243,245,246,249,252,644,655,661,663,1218],[1,6,7,8,49,
50,53,56,57,58,224,226,229,232,234,248,251,644,660,665,1219],[1,6,7,8,49,50,
53,56,57,58,224,228,229,232,233,248,251,645,660,665,1220],[1,6,7,8,49,50,53,
56,57,58,59,224,228,229,232,233,242,243,244,246,249,253,645,657,661,664,
1221],[1,2,3,9,13,14,61,62,63,64,67,255,264,265,670,671,677,1222],[1,2,5,9,13,
16,61,62,65,83,255,266,271,670,681,1223],[1,2,6,9,13,17,61,62,63,66,69,255,
267,269,670,671,685,1224],[1,2,3,4,9,13,15,61,62,64,68,81,85,255,268,274,670,
679,683,1225],[1,2,4,6,9,13,18,61,62,66,68,84,85,255,270,275,670,682,683,
1226],[1,2,4,7,9,13,19,61,62,77,82,86,87,255,272,276,670,680,684,1227],[1,2,4,
8,9,13,20,61,62,77,82,88,89,255,273,277,670,680,686,1228],[1,2,3,9,13,14,61,
63,64,81,255,265,671,679,1229],[1,2,5,9,13,16,61,63,65,83,255,266,278,671,681,
1230],[1,2,6,9,13,17,61,63,66,84,255,267,671,682,1231],[1,2,3,4,9,13,15,61,63,
64,67,68,85,255,268,279,671,677,683,1232],[1,2,4,6,9,13,18,61,63,66,68,69,85,
255,270,280,671,683,685,1233],[1,2,3,9,10,11,14,61,63,64,70,72,75,254,265,309,
672,673,674,1234],[1,2,3,4,9,10,11,15,63,67,68,70,71,72,73,75,76,254,279,312,
321,672,675,676,1235],[1,3,9,10,11,23,64,67,70,71,254,282,311,673,675,1236],[
1,2,3,4,9,10,11,15,61,64,68,70,72,73,76,254,268,312,673,674,676,1237],[1,2,3,
9,10,11,14,61,67,70,71,72,254,264,309,674,675,1238],[1,3,9,10,11,21,67,70,71,
254,294,304,307,675,1239],[1,3,4,9,10,11,25,67,68,70,71,73,76,254,295,314,322,
675,676,1240],[1,3,9,10,11,24,67,70,71,254,298,313,675,1241],[1,3,9,10,11,22,
67,70,71,254,299,310,675,1242],[1,3,5,6,9,13,26,64,65,66,67,69,83,255,281,288,
677,681,685,1243],[1,3,9,13,23,64,67,81,255,282,677,679,1244],[1,3,6,9,13,28,
64,66,67,69,84,255,283,292,677,682,685,1245],[1,2,3,4,9,11,12,15,61,64,68,71,
75,76,79,256,268,321,678,687,688,1246],[1,3,9,13,24,64,81,255,679,1247],[1,3,
4,9,13,25,64,77,81,82,255,327,679,680,1248],[1,3,5,6,9,13,26,64,65,66,81,83,
84,255,281,333,679,681,682,1249],[1,3,9,13,29,64,81,255,679,1250],[1,3,7,9,13,
32,64,81,86,87,255,334,679,684,1251],[1,3,9,13,33,64,81,255,679,1252],[1,3,6,
9,13,28,64,66,69,81,255,283,679,685,1253],[1,3,8,9,13,35,64,81,88,89,255,335,
679,686,1254],[1,4,5,9,13,36,65,77,82,83,255,328,336,680,681,1255],[1,4,6,9,
13,37,66,77,82,84,255,329,680,682,1256],[1,4,7,9,13,38,68,77,82,85,86,87,255,
330,337,680,683,684,1257],[1,4,8,9,13,40,68,77,82,85,88,89,255,331,338,680,
683,686,1258],[1,5,9,13,41,65,83,255,284,339,681,1259],[1,5,6,9,13,42,65,66,
83,84,255,285,340,681,682,1260],[1,5,9,13,43,65,83,255,286,287,681,1261],[1,5,
9,13,44,65,83,255,341,342,681,1262],[1,4,5,9,13,36,65,68,83,85,255,289,343,
681,683,1263],[1,5,7,8,9,13,45,65,83,86,87,88,89,255,344,345,681,684,686,
1264],[1,5,6,9,13,42,65,66,69,83,255,285,290,681,685,1265],[1,5,9,13,44,65,83,
255,291,346,681,1266],[1,5,8,9,13,46,65,83,88,89,255,347,348,681,686,1267],[1,
5,9,13,43,65,83,255,286,349,681,1268],[1,6,7,8,9,13,51,66,84,86,87,88,89,255,
350,351,682,684,686,1269],[1,6,9,13,49,66,69,84,255,293,682,685,1270],[1,6,8,
9,13,53,66,84,88,89,255,352,682,686,1271],[1,6,9,13,54,66,84,255,682,1272],[1,
5,9,10,11,41,65,254,284,353,354,1273],[1,5,9,11,12,41,65,256,284,354,355,
1274],[1,3,9,13,21,67,255,294,303,306,1275],[1,3,9,11,12,21,67,256,294,305,
308,1276],[1,6,9,11,12,47,69,256,301,356,357,1277],[1,3,9,10,11,21,70,254,303,
304,305,1278],[1,3,9,11,12,21,71,256,303,307,308,1279],[1,3,10,12,13,21,70,
257,304,306,308,1280],[1,3,11,12,13,21,71,258,305,306,307,308,1281],[1,3,10,
12,13,23,70,257,311,319,320,1282],[1,2,4,7,10,12,13,19,62,72,73,74,77,80,86,
257,272,323,689,690,695,1283],[1,2,3,4,10,12,13,15,62,70,72,73,79,81,85,257,
274,312,689,691,693,1284],[1,2,4,7,10,12,13,19,62,72,73,74,78,82,87,257,276,
323,689,692,694,1285],[1,3,4,10,12,13,25,70,73,77,78,81,82,257,314,327,690,
691,692,1286],[1,4,7,10,12,13,38,73,74,77,79,85,87,257,324,330,690,693,694,
1287],[1,3,7,10,12,13,32,70,74,80,81,86,87,257,317,334,691,694,695,1288],[1,4,
7,10,12,13,38,73,74,78,79,80,82,85,86,257,324,332,337,692,693,695,1289],[1,7,
10,12,13,55,74,257,325,359,360,1290],[1,4,7,11,12,13,38,76,77,78,79,80,85,87,
258,330,332,696,697,698,1291],[1,5,10,12,13,41,83,257,339,353,355,1292],[1,5,
11,12,13,41,83,258,339,354,355,1293],[1,2,5,16,41,43,60,114,259,261,699,706,
709,1294],[1,2,3,4,5,6,15,16,18,26,36,60,104,259,260,261,262,263,699,700,701,
703,708,1295],[1,2,5,6,16,42,44,60,116,259,261,262,699,707,710,1296],[1,2,3,4,
15,22,24,60,103,259,260,263,700,702,704,1297],[1,2,3,4,15,22,29,60,106,259,
260,263,700,702,705,1298],[1,3,5,6,22,26,60,130,260,261,262,702,703,1299],[1,
3,5,6,26,41,42,60,154,260,261,262,703,706,707,1300],[1,3,5,6,26,48,60,156,260,
261,262,703,711,1301],[1,3,5,6,24,26,29,60,143,260,261,262,703,704,705,1302],[
1,3,5,6,26,43,44,60,161,260,261,262,703,709,710,1303],[1,3,5,6,26,29,60,159,
260,261,262,703,705,1304],[1,4,5,36,41,44,60,197,261,263,706,708,710,1305],[1,
4,5,6,36,42,43,60,198,261,262,263,707,708,709,1306],[1,4,10,73,90,363,712,
1307],[1,5,13,83,90,362,714,1308],[1,4,13,77,90,363,714,1309],[1,9,10,11,60,
254,364,365,366,1310],[1,2,3,5,6,9,14,16,17,21,22,26,27,61,65,67,69,91,94,95,
124,130,264,266,269,288,294,296,299,368,715,717,718,767,774,1311],[1,2,3,4,9,
14,15,21,22,23,24,25,61,63,64,67,68,91,92,93,102,103,123,129,264,265,268,279,
282,294,295,298,299,367,715,719,720,748,751,757,758,1312],[1,2,3,4,6,9,14,15,
17,18,21,22,25,28,29,61,63,66,67,68,91,96,97,102,106,125,131,264,267,270,279,
292,294,295,297,299,369,715,721,722,748,750,776,777,1313],[1,2,3,4,13,14,15,
21,22,23,24,25,77,81,82,91,92,93,102,103,123,129,320,327,367,716,825,826,
1314],[1,2,3,4,5,6,13,14,15,16,17,18,23,26,28,36,77,83,92,94,96,104,136,320,
328,372,716,827,1315],[1,2,3,4,6,13,14,15,18,22,23,25,27,29,37,77,82,84,92,95,
97,105,106,129,137,320,329,373,716,826,828,1316],[1,2,3,4,7,13,14,15,19,23,30,
31,62,77,86,92,98,107,138,272,320,374,716,732,829,1317],[1,2,3,4,7,13,14,15,
19,23,24,25,32,33,38,77,85,87,92,93,99,108,109,139,140,320,330,375,716,830,
831,1318],[1,2,3,4,6,8,13,14,15,17,18,20,23,28,31,34,39,62,77,88,92,96,100,
107,110,111,141,273,320,376,716,732,832,1319],[1,2,3,4,8,13,14,15,20,23,25,29,
33,35,40,77,85,89,92,97,101,112,113,139,142,320,331,377,716,830,833,1320],[1,
2,3,5,6,9,14,16,17,26,41,42,43,61,65,67,69,94,114,115,154,160,264,266,269,284,
286,288,290,383,717,725,728,760,764,1321],[1,2,3,5,6,9,14,16,17,26,27,42,47,
48,61,65,67,69,94,119,155,156,264,266,269,288,290,296,301,302,384,717,730,770,
773,1322],[1,2,3,4,5,6,9,14,15,16,17,18,23,26,28,36,61,63,64,65,66,67,68,69,
92,94,96,104,136,264,265,266,267,268,269,270,278,279,280,281,282,283,288,289,
292,372,717,719,721,723,724,727,746,754,1323],[1,2,3,4,5,6,9,14,16,17,24,25,
26,29,36,37,61,65,67,68,69,93,94,97,143,149,264,266,269,288,289,295,297,298,
300,378,717,720,722,768,769,1324],[1,2,3,5,6,9,14,16,17,26,28,42,43,44,49,61,
65,66,67,69,94,115,116,157,161,264,266,269,285,287,288,291,292,293,385,717,
726,729,762,765,1325],[1,2,3,5,6,9,14,16,17,26,29,44,61,65,67,69,94,158,159,
264,266,269,288,291,297,386,717,771,772,1326],[1,2,3,4,6,9,14,15,18,22,23,25,
27,29,37,61,63,64,67,68,69,92,95,97,105,106,129,137,264,265,268,279,280,282,
295,296,297,299,300,373,718,719,722,749,750,758,759,1327],[1,2,3,4,6,9,14,15,
17,18,22,24,25,27,28,37,61,63,66,67,68,69,93,95,96,103,105,131,144,264,267,
270,279,280,292,295,296,298,299,300,379,718,720,721,749,751,777,778,1328],[1,
2,3,4,7,9,14,15,19,21,25,30,31,32,38,61,67,98,102,108,126,150,264,303,396,731,
785,1329],[1,2,3,5,6,9,14,16,17,26,41,42,43,61,63,64,65,66,94,114,115,154,160,
265,266,267,278,281,284,285,286,287,383,723,725,726,744,745,752,753,1330],[1,
2,3,5,6,9,14,16,17,26,28,42,43,44,49,61,63,64,65,66,69,94,115,116,157,161,265,
266,267,278,281,283,285,286,290,291,293,385,723,728,729,745,747,755,756,
1331],[1,2,3,4,5,6,9,15,16,18,26,36,41,42,43,44,61,64,65,66,68,104,114,116,
154,161,197,198,266,268,270,281,284,285,286,289,291,413,725,727,729,752,756,
761,763,1332],[1,2,3,4,5,6,9,15,16,18,26,28,36,42,43,49,61,64,65,66,68,69,104,
115,157,160,198,266,268,270,281,283,285,286,287,289,290,293,414,726,727,728,
753,755,763,766,1333],[1,2,3,4,9,14,15,21,22,23,24,25,61,63,64,91,92,93,102,
103,123,129,265,303,367,731,781,782,1334],[1,2,3,4,5,6,9,15,16,18,21,25,26,27,
36,37,61,65,102,104,105,124,149,266,303,405,731,783,1335],[1,2,3,4,6,9,14,15,
17,18,21,22,25,28,29,61,63,66,91,96,97,102,106,125,131,267,303,369,731,781,
784,1336],[1,2,3,4,9,15,21,23,24,25,31,33,61,64,68,102,107,109,123,127,139,
145,268,303,406,731,782,786,1337],[1,2,3,4,6,8,9,15,17,20,21,25,34,35,39,40,
61,69,102,110,112,128,152,269,303,407,731,787,1338],[1,2,3,4,6,9,15,18,21,25,
28,29,31,33,39,61,66,68,102,111,113,125,127,151,153,270,303,408,731,784,786,
1339],[1,2,3,4,5,6,13,15,16,18,23,26,28,31,36,39,62,83,104,107,111,136,163,
271,320,417,732,827,1340],[1,2,3,4,13,15,21,23,24,25,31,33,62,81,85,102,107,
109,123,127,139,145,274,320,406,732,825,830,1341],[1,2,3,4,7,13,15,19,22,23,
24,25,31,32,38,62,82,87,103,107,108,129,133,140,145,276,320,410,732,826,831,
1342],[1,2,3,4,6,13,15,18,23,25,27,29,31,33,37,62,84,85,105,107,113,137,139,
153,172,275,320,424,732,828,830,1343],[1,2,3,4,8,13,15,20,22,23,25,29,31,35,
40,62,82,89,106,107,112,129,134,142,153,277,320,427,732,826,833,1344],[1,2,4,
5,7,8,13,16,19,20,36,41,43,44,45,46,62,77,83,86,88,114,117,118,197,203,213,
216,271,272,273,328,339,341,344,347,349,431,733,734,735,844,848,860,866,
1345],[1,2,3,4,5,6,13,15,16,18,26,36,41,42,43,44,62,81,83,84,85,104,114,116,
154,161,197,198,271,274,275,333,339,340,343,346,349,413,733,736,737,849,852,
859,862,1346],[1,2,4,5,7,8,13,16,19,20,36,41,43,44,45,46,62,82,83,87,89,114,
117,118,197,203,213,216,271,276,277,336,339,342,345,348,349,431,733,738,739,
854,858,861,870,1347],[1,2,3,4,5,6,7,8,13,15,16,18,19,20,25,26,32,35,36,37,38,
40,45,51,62,77,81,82,83,84,85,86,87,88,89,104,108,112,117,122,149,164,200,271,
272,273,274,275,276,277,327,328,329,330,331,333,334,335,336,337,338,343,344,
345,350,351,418,734,736,738,740,741,742,743,843,846,851,856,1348],[1,2,4,5,6,
7,8,13,16,19,20,36,42,44,45,46,51,53,62,77,83,84,86,88,89,116,117,118,199,202,
215,217,271,272,273,328,340,342,344,346,348,350,352,433,734,737,739,845,847,
863,869,1349],[1,2,3,4,5,6,8,13,15,16,18,26,35,36,44,46,53,62,81,83,84,85,88,
89,104,118,158,168,202,271,274,275,333,335,341,342,343,347,348,352,422,735,
736,739,850,853,865,868,1350],[1,2,4,5,6,7,8,13,16,19,20,36,42,44,45,46,51,53,
62,82,83,84,87,88,89,116,117,118,199,202,215,217,271,276,277,336,340,341,345,
346,347,351,352,433,735,737,738,855,857,864,867,1351],[1,2,3,4,5,6,9,15,16,18,
26,36,41,42,43,44,63,65,67,68,69,104,114,116,154,161,197,198,278,279,280,284,
287,288,289,290,291,413,744,746,747,760,761,765,766,1352],[1,2,3,4,5,6,9,15,
16,18,26,28,36,42,43,49,63,65,66,67,68,69,104,115,157,160,198,278,279,280,285,
286,288,289,292,293,414,745,746,762,763,764,1353],[1,2,3,4,5,6,9,15,16,18,21,
25,26,27,36,37,63,65,67,68,69,102,104,105,124,149,278,279,280,288,289,294,295,
296,300,405,746,748,749,767,768,1354],[1,2,3,4,5,6,9,15,16,18,22,24,26,29,36,
63,65,67,68,69,103,104,106,130,143,278,279,280,288,289,297,298,299,409,746,
750,751,769,774,1355],[1,2,3,4,5,6,9,15,16,18,26,27,36,42,44,47,63,65,67,68,
69,104,116,155,158,199,278,279,280,288,289,290,291,296,301,415,746,747,770,
771,775,1356],[1,2,3,4,5,6,9,15,16,18,26,29,36,48,63,65,67,68,69,104,156,159,
278,279,280,288,289,297,302,416,746,772,773,1357],[1,3,5,6,9,23,26,28,41,42,
49,64,65,66,67,69,136,154,157,281,282,283,284,285,288,290,292,293,480,752,754,
755,760,762,1358],[1,3,5,6,9,23,26,28,43,44,64,65,66,67,69,136,160,161,281,
282,283,286,287,288,291,292,483,753,754,756,764,765,1359],[1,3,5,6,9,21,23,24,
26,27,28,29,64,65,66,67,69,123,124,125,136,137,143,144,281,282,283,288,292,
294,296,297,298,438,754,757,759,767,769,776,778,1360],[1,3,4,5,6,9,22,23,25,
26,28,36,37,64,65,66,67,68,69,129,130,131,136,149,281,282,283,288,289,292,295,
299,300,460,754,758,768,774,777,1361],[1,3,5,6,9,23,26,27,28,29,42,47,64,65,
66,67,69,136,137,155,159,170,281,282,283,288,290,292,296,297,301,481,754,759,
770,772,779,1362],[1,3,5,6,9,23,26,28,44,48,64,65,66,67,69,136,156,158,281,
282,283,288,291,292,302,482,754,771,773,1363],[1,3,5,6,9,21,26,27,41,42,47,65,
67,69,124,154,155,284,288,290,294,296,301,441,760,767,770,1364],[1,3,4,5,6,9,
25,26,36,37,41,42,44,65,67,68,69,149,154,158,197,199,284,288,289,290,291,295,
300,513,760,761,768,771,775,1365],[1,3,5,6,9,24,26,29,41,42,65,67,69,143,154,
159,284,288,290,297,298,497,760,769,772,1366],[1,3,5,6,9,22,26,41,42,48,65,67,
69,130,154,156,284,288,290,299,302,463,760,773,774,1367],[1,3,5,6,9,21,26,27,
28,29,42,49,65,66,67,69,124,125,157,159,170,285,288,292,293,294,296,297,443,
762,767,772,776,779,1368],[1,3,4,5,6,9,25,26,28,36,37,42,48,49,65,66,67,68,69,
149,156,157,204,285,288,289,292,293,295,300,302,515,762,768,773,780,1369],[1,
3,5,6,9,24,26,27,28,29,42,47,49,65,66,67,69,143,144,155,157,170,285,288,290,
292,293,296,297,298,301,498,762,769,770,778,779,1370],[1,3,5,6,9,22,26,28,42,
44,49,65,66,67,69,130,157,158,285,288,291,292,293,299,465,762,771,774,1371],[
1,3,5,6,9,21,26,27,43,48,65,67,69,124,156,160,286,288,294,296,302,442,764,767,
773,1372],[1,3,4,5,6,9,25,26,29,36,37,43,65,67,68,69,149,159,160,286,288,289,
295,297,300,516,764,768,772,1373],[1,3,5,6,9,24,26,29,43,44,65,67,69,143,158,
160,286,288,291,297,298,500,764,769,771,1374],[1,3,5,6,9,22,26,27,42,43,47,65,
67,69,130,155,160,286,288,290,296,299,301,464,764,770,774,1375],[1,3,5,6,9,21,
26,27,43,44,65,67,69,124,158,161,287,288,291,294,296,444,765,767,771,1376],[1,
3,4,5,6,9,25,26,27,36,37,42,43,44,47,65,67,68,69,149,155,161,198,199,287,288,
289,290,291,295,296,300,301,514,765,766,768,770,775,1377],[1,3,5,6,9,24,26,29,
43,44,48,65,67,69,143,156,161,287,288,291,297,298,302,499,765,769,773,1378],[
1,3,5,6,9,22,26,29,43,44,65,67,69,130,159,161,287,288,291,297,299,466,765,772,
774,1379],[1,2,3,5,6,9,14,16,17,21,22,26,27,63,65,91,94,95,124,130,278,303,
368,781,783,1380],[1,2,3,4,7,9,14,15,19,21,22,30,31,32,33,63,67,68,91,98,99,
126,127,132,133,279,303,370,781,785,786,1381],[1,2,3,4,6,8,9,14,18,20,21,22,
31,33,34,35,63,68,69,91,100,101,127,128,134,135,280,303,371,781,786,787,
1382],[1,3,5,6,9,21,23,24,26,27,28,29,64,65,66,123,124,125,136,137,143,144,
281,303,438,782,783,784,1383],[1,3,7,9,21,23,24,30,32,64,67,123,126,138,140,
146,282,303,439,782,785,1384],[1,3,6,8,9,21,23,24,28,29,34,35,64,66,69,123,
125,128,141,142,147,148,283,303,440,782,784,787,1385],[1,3,5,6,9,21,26,27,41,
42,47,65,124,154,155,284,303,441,783,1386],[1,3,5,6,9,21,26,27,43,48,65,124,
156,160,287,303,442,783,1387],[1,3,5,6,9,21,26,27,28,29,42,49,65,66,124,125,
157,159,170,285,303,443,783,784,1388],[1,3,5,6,9,21,26,27,43,44,65,124,158,
161,286,303,444,783,1389],[1,3,5,6,7,8,9,21,26,27,30,32,34,35,45,50,51,65,67,
69,124,126,128,162,164,171,173,288,303,445,783,785,787,1390],[1,3,4,5,6,9,21,
26,27,31,33,36,39,65,68,124,127,163,165,172,289,303,446,783,786,1391],[1,3,5,
6,8,9,21,26,27,34,35,42,46,52,53,65,69,124,128,166,168,174,290,303,447,783,
787,1392],[1,3,5,6,9,21,26,27,44,54,65,124,167,169,291,303,448,783,1393],[1,3,
6,7,9,21,28,29,30,32,50,66,67,125,126,175,176,179,292,303,449,784,785,1394],[
1,3,6,8,9,21,28,29,34,35,49,52,66,69,125,128,177,178,180,293,303,450,784,787,
1395],[1,3,7,9,21,30,32,55,67,126,181,294,303,451,785,1396],[1,3,4,7,9,21,25,
30,31,32,33,38,67,68,126,127,150,182,188,295,303,452,785,786,1397],[1,3,7,9,
21,24,30,32,57,67,126,146,184,298,303,453,785,1398],[1,3,7,9,21,22,30,32,33,
67,126,132,182,299,303,454,785,1399],[1,3,6,7,8,9,21,27,30,32,34,35,51,56,67,
69,126,128,171,183,191,296,303,455,785,787,1400],[1,3,7,9,21,29,30,32,58,67,
126,179,185,297,303,456,785,1401],[1,3,4,6,8,9,21,31,33,34,35,37,40,68,69,127,
128,189,190,192,300,303,457,786,787,1402],[1,3,6,8,9,21,34,35,47,53,59,69,128,
193,194,301,303,458,787,1403],[1,3,6,8,9,21,34,35,48,54,69,128,195,196,302,
303,459,787,1404],[1,2,3,4,10,14,15,21,22,23,24,25,70,72,73,91,92,93,102,103,
123,129,304,309,310,311,312,313,314,367,788,789,790,800,801,804,805,1405],[1,
2,3,4,7,10,14,15,19,21,22,30,31,32,33,70,72,73,74,91,98,99,126,127,132,133,
304,309,310,312,315,316,317,318,323,370,788,791,792,802,803,806,807,1406],[1,
3,7,10,21,23,24,30,32,70,74,123,126,138,140,146,304,311,313,315,317,439,789,
791,808,811,815,1407],[1,2,3,4,10,15,21,23,24,25,31,33,70,72,73,102,107,109,
123,127,139,145,304,311,312,313,314,316,318,406,789,790,792,809,810,813,814,
1408],[1,2,3,4,7,10,14,15,19,21,25,30,31,32,38,70,72,73,74,98,102,108,126,150,
304,309,312,314,315,316,317,323,324,396,790,791,802,812,816,1409],[1,3,7,10,
21,30,32,55,70,74,126,181,304,315,317,325,451,791,817,1410],[1,3,4,7,10,21,25,
30,31,32,33,38,70,73,74,126,127,150,182,188,304,314,315,316,317,318,324,452,
791,792,816,818,821,1411],[1,3,7,10,21,24,30,32,57,70,74,126,146,184,304,313,
315,317,326,453,791,815,819,1412],[1,3,7,10,21,22,30,32,33,70,74,126,132,182,
304,310,315,317,318,454,791,806,818,1413],[1,2,3,4,7,11,14,15,19,21,22,30,31,
32,33,71,75,76,91,98,99,126,127,132,133,305,321,370,793,794,795,1414],[1,3,7,
11,21,30,32,55,71,126,181,305,307,451,794,1415],[1,3,4,7,11,21,25,30,31,32,33,
38,71,76,126,127,150,182,188,305,322,452,794,795,1416],[1,3,5,6,10,21,26,27,
41,42,47,70,124,154,155,304,353,441,834,1417],[1,3,5,6,11,21,26,27,41,42,47,
124,154,155,305,354,356,441,1418],[1,3,5,6,13,21,26,27,41,42,47,83,124,154,
155,306,339,441,796,1419],[1,3,5,6,11,21,26,27,41,42,47,71,124,154,155,307,
354,441,835,1420],[1,3,5,6,12,21,26,27,41,42,47,124,154,155,308,355,357,441,
1421],[1,3,5,6,13,21,23,24,26,27,28,29,81,83,84,123,124,125,136,137,143,144,
306,333,438,796,797,798,1422],[1,3,5,6,13,21,26,27,28,29,42,49,83,84,124,125,
157,159,170,306,340,443,796,798,1423],[1,3,7,13,21,30,32,55,126,181,306,359,
451,1424],[1,3,7,12,21,30,32,55,126,181,308,360,451,1425],[1,3,6,8,11,21,34,
35,47,53,59,71,128,193,194,307,356,458,836,1426],[1,3,6,8,12,21,34,35,47,53,
59,128,193,194,308,357,361,458,1427],[1,2,3,4,7,10,14,15,19,23,30,31,70,72,73,
74,92,98,107,138,309,311,312,315,316,323,374,800,802,808,809,1428],[1,2,3,4,7,
10,14,15,19,23,24,25,32,33,38,70,72,73,74,92,93,99,108,109,139,140,309,311,
312,313,314,317,318,323,324,375,800,801,803,810,811,812,813,1429],[1,2,3,4,7,
10,14,15,19,24,25,30,31,38,70,72,73,74,93,98,145,146,150,309,312,313,314,315,
316,323,324,380,801,802,814,815,816,1430],[1,2,3,4,7,10,14,15,19,30,31,32,33,
55,70,72,73,74,98,99,181,182,188,309,312,315,316,317,318,323,325,397,802,803,
817,818,821,1431],[1,2,3,4,7,10,14,15,19,22,24,30,31,33,70,72,73,74,98,103,
109,132,146,309,310,312,313,315,316,318,323,398,802,805,806,813,815,1432],[1,
2,3,4,7,10,14,15,19,30,31,33,57,70,72,73,74,98,182,184,309,312,315,316,318,
323,326,402,802,818,819,1433],[1,3,4,7,10,22,23,25,30,31,33,38,70,73,74,129,
132,138,139,150,310,311,314,315,316,318,324,461,804,806,808,810,816,1434],[1,
2,3,4,7,10,15,19,22,23,24,25,31,32,38,70,72,73,74,103,107,108,129,133,140,145,
310,311,312,313,314,316,317,323,324,410,804,805,807,809,811,812,814,1435],[1,
3,4,7,10,22,25,30,31,32,33,38,55,70,73,74,132,133,150,181,188,310,314,315,316,
317,318,324,325,472,806,807,816,817,821,1436],[1,3,7,10,22,24,30,33,70,74,132,
146,182,310,313,315,318,473,806,815,818,1437],[1,3,7,10,22,30,33,57,70,74,132,
184,310,315,318,326,474,806,819,1438],[1,3,7,10,23,30,32,55,57,70,74,138,181,
184,186,311,315,317,325,326,494,808,817,819,820,1439],[1,3,7,10,23,30,33,70,
74,138,182,311,315,318,495,808,818,1440],[1,3,4,7,10,24,25,30,31,33,38,70,73,
74,146,150,182,313,314,315,316,318,324,509,815,816,818,1441],[1,3,7,10,24,30,
32,55,70,74,146,181,313,315,317,325,510,815,817,1442],[1,3,4,7,10,25,30,31,38,
57,70,73,74,150,184,207,314,315,316,324,326,522,816,819,837,1443],[1,3,7,10,
30,32,55,57,70,74,181,186,236,237,238,315,317,325,326,591,817,820,838,839,840,
1444],[1,3,7,10,30,32,55,57,70,74,181,237,315,317,325,326,592,817,839,1445],[
1,3,7,10,30,55,57,70,74,184,186,237,238,249,315,325,326,597,819,820,839,840,
842,1446],[1,3,7,10,30,57,70,74,184,248,315,326,598,819,841,1447],[1,3,4,7,12,
22,23,25,30,31,33,38,78,79,80,129,132,138,139,150,319,332,461,822,823,824,
1448],[1,3,5,6,13,21,23,24,26,27,28,29,81,83,84,123,124,125,136,137,143,144,
320,333,438,825,827,828,1449],[1,3,7,13,21,23,24,30,32,81,86,87,123,126,138,
140,146,320,334,439,825,829,831,1450],[1,3,6,8,13,21,23,24,28,29,34,35,81,88,
89,123,125,128,141,142,147,148,320,335,440,825,832,833,1451],[1,3,4,5,6,13,22,
23,25,26,28,36,37,82,83,129,130,131,136,149,320,336,460,826,827,1452],[1,3,4,
7,13,22,23,25,30,31,33,38,82,85,86,129,132,138,139,150,320,337,461,826,829,
830,1453],[1,3,4,6,8,13,22,23,25,28,33,34,39,40,82,85,88,129,131,135,139,141,
151,152,320,338,462,826,830,832,1454],[1,3,5,6,13,23,26,28,41,42,49,83,136,
154,157,320,339,480,827,1455],[1,3,5,6,13,23,26,27,28,29,42,47,83,84,136,137,
155,159,170,320,340,481,827,828,1456],[1,3,5,6,13,23,26,28,44,48,83,136,156,
158,320,342,482,827,1457],[1,3,5,6,13,23,26,28,43,44,83,136,160,161,320,341,
483,827,1458],[1,3,5,6,7,8,13,23,26,28,30,34,45,50,83,86,88,136,138,141,162,
175,320,344,484,827,829,832,1459],[1,3,4,5,6,13,23,25,26,28,33,36,37,83,85,
136,139,149,151,165,320,343,485,827,830,1460],[1,3,5,6,7,8,13,23,24,26,28,29,
32,35,45,51,83,87,89,136,140,142,143,147,164,176,320,345,486,827,831,833,
1461],[1,3,5,6,8,13,23,26,28,34,42,46,49,52,83,88,136,141,157,166,177,320,347,
487,827,832,1462],[1,3,5,6,8,13,23,26,28,29,35,46,53,83,89,136,142,159,168,
178,320,348,488,827,833,1463],[1,3,5,6,13,23,26,28,44,54,83,136,158,169,320,
346,489,827,1464],[1,3,5,6,13,23,26,28,43,44,83,136,161,167,320,349,490,827,
1465],[1,3,6,7,8,13,23,27,29,30,34,35,51,84,86,89,137,138,142,171,179,320,350,
491,828,829,833,1466],[1,3,6,7,8,13,23,24,27,28,29,32,34,50,51,84,87,88,137,
140,141,144,148,173,176,320,351,492,828,831,832,1467],[1,3,6,8,13,23,27,28,29,
34,35,52,53,84,88,89,137,141,142,170,174,178,180,320,352,493,828,832,833,
1468],[1,3,5,6,10,23,26,28,41,42,49,70,136,154,157,311,353,480,834,1469],[1,3,
5,6,12,23,26,28,41,42,49,136,154,157,319,355,358,480,1470],[1,3,5,6,10,24,26,
29,41,42,70,143,154,159,313,353,497,834,1471],[1,2,3,5,6,10,14,16,17,26,41,42,
43,70,72,94,114,115,154,160,309,353,383,834,871,1472],[1,3,5,6,10,22,26,41,42,
48,70,130,154,156,310,353,463,834,1473],[1,2,3,4,5,6,10,15,16,18,26,36,41,42,
43,44,70,72,73,104,114,116,154,161,197,198,312,353,413,834,871,872,1474],[1,3,
4,5,6,10,25,26,36,37,41,42,44,70,73,149,154,158,197,199,314,353,513,834,872,
1475],[1,3,5,6,7,8,10,26,30,34,41,42,45,46,50,52,70,74,154,162,166,213,214,
315,353,528,834,873,1476],[1,3,4,5,6,10,26,31,36,39,41,42,44,70,73,154,163,
167,197,201,316,353,529,834,872,1477],[1,3,5,6,7,8,10,26,32,35,41,42,45,46,51,
53,70,74,154,164,168,213,215,317,353,530,834,873,1478],[1,3,5,6,10,26,33,41,
42,54,70,154,165,169,318,353,531,834,1479],[1,2,3,4,5,6,11,15,16,18,26,36,41,
42,43,44,71,75,76,104,114,116,154,161,197,198,321,354,413,835,874,875,1480],[
1,3,4,5,6,11,25,26,36,37,41,42,44,71,76,149,154,158,197,199,322,354,513,835,
875,1481],[1,2,3,4,6,8,11,15,17,20,34,39,47,48,53,54,71,75,76,110,119,121,193,
196,209,210,321,356,429,836,880,881,1482],[1,3,4,6,8,11,25,34,39,40,47,53,54,
71,76,152,193,195,209,211,212,322,356,526,836,881,1483],[1,4,7,10,38,55,57,73,
74,207,238,248,324,325,326,614,837,840,841,1484],[1,4,7,10,38,57,73,74,207,
248,249,324,326,616,837,841,842,1485],[1,3,4,5,6,13,25,26,36,37,41,42,44,77,
81,82,83,84,149,154,158,197,199,327,328,329,333,336,339,340,341,342,513,843,
844,845,849,850,854,855,1486],[1,3,4,5,6,8,13,25,26,35,36,37,43,44,46,53,77,
81,82,83,84,88,89,149,161,168,202,203,327,328,329,333,335,336,346,347,348,349,
352,521,843,847,848,852,853,857,858,1487],[1,4,5,7,8,13,36,38,40,41,44,45,46,
77,83,85,87,89,197,200,202,213,217,328,330,331,339,341,343,345,346,348,604,
844,846,847,859,861,865,867,1488],[1,4,5,6,7,8,13,36,38,40,42,43,44,45,46,51,
53,77,83,84,85,87,88,89,198,199,200,202,203,215,216,328,330,331,340,342,343,
345,347,349,351,352,605,845,846,848,862,864,868,870,1489],[1,3,5,6,7,8,13,26,
32,35,41,42,45,46,51,53,81,83,84,86,87,88,89,154,164,168,213,215,333,334,335,
339,340,344,345,347,348,350,351,352,530,849,851,853,860,861,863,864,1490],[1,
3,5,6,7,8,13,26,32,35,43,44,45,51,81,83,84,86,87,88,89,158,161,164,216,217,
333,334,335,341,342,344,345,346,349,350,351,546,850,851,852,866,867,869,870,
1491],[1,4,5,7,8,13,36,38,40,41,44,45,46,82,83,85,86,88,197,200,202,213,217,
336,337,338,339,342,343,344,346,347,604,854,856,857,859,860,868,869,1492],[1,
4,5,6,7,8,13,36,38,40,42,43,44,45,46,51,53,82,83,84,85,86,88,89,198,199,200,
202,203,215,216,336,337,338,340,341,343,344,348,349,350,352,605,855,856,858,
862,863,865,866,1493],[1,2,4,5,7,8,10,16,19,20,36,41,43,44,45,46,72,73,74,114,
117,118,197,203,213,216,323,353,431,871,872,873,1494],[1,4,5,7,8,10,36,38,40,
41,44,45,46,73,74,197,200,202,213,217,324,353,604,872,873,1495],[1,5,7,8,10,
41,45,46,55,56,59,74,213,218,219,325,353,622,873,1496],[1,5,7,8,10,41,45,46,
57,58,74,213,220,221,326,353,623,873,1497],[1,4,5,7,8,12,36,38,40,41,44,45,46,
78,79,80,197,200,202,213,217,332,355,604,876,877,878,1498],[1,5,7,8,13,41,45,
46,55,56,59,83,213,218,219,339,359,622,879,1499],[1,5,7,8,12,41,45,46,55,56,
59,213,218,219,355,360,361,622,1500],[1,3,5,6,7,8,13,26,30,34,45,50,55,56,57,
58,81,83,84,162,186,187,218,220,231,232,333,359,559,879,885,886,1501],[1,5,6,
7,8,13,42,45,50,52,55,56,58,83,84,214,218,221,231,233,234,340,359,626,879,886,
1502],[1,5,7,8,13,45,55,56,83,86,88,218,236,239,344,359,629,879,887,889,
1503],[1,5,7,8,13,45,55,56,57,58,83,87,89,218,220,238,241,242,345,359,631,879,
888,890,1504],[1,5,7,8,13,45,46,55,56,59,83,88,218,219,239,243,347,359,632,
879,889,1505],[1,5,7,8,13,45,46,55,56,58,59,83,89,218,219,221,241,244,245,348,
359,634,879,890,1506],[1,5,7,8,13,45,57,58,83,86,88,220,249,250,344,639,895,
1507],[1,6,7,8,12,47,50,51,52,53,55,56,59,222,225,235,357,360,361,641,1508],[
1,4,6,7,12,37,38,39,48,49,50,54,78,79,80,204,205,206,223,224,332,358,609,882,
883,884,1509],[1,3,7,13,30,32,55,57,81,86,87,181,186,236,237,238,334,359,591,
885,887,888,1510],[1,3,7,8,13,30,35,55,56,57,58,81,88,89,183,186,187,239,241,
242,246,335,359,595,885,889,890,1511],[1,6,7,8,13,50,51,55,56,58,84,86,89,225,
231,236,240,241,350,359,646,886,887,890,1512],[1,6,7,8,13,50,51,55,56,57,58,
84,87,88,225,231,232,238,239,241,246,351,359,648,886,888,889,1513],[1,6,7,8,
13,50,53,55,56,58,84,88,89,226,231,233,239,241,244,247,352,359,654,886,889,
890,1514],[1,6,7,8,13,50,53,55,56,58,84,88,89,228,231,234,239,241,245,247,352,
359,656,886,889,890,1515],[1,4,7,12,38,57,78,79,80,207,248,249,332,616,893,
1516],[1,4,7,12,38,57,78,79,80,207,248,249,332,616,894,1517],[1,4,7,13,38,57,
82,85,86,207,248,249,337,616,895,1518],[1,4,7,12,38,58,78,79,80,208,251,252,
332,621,896,1519],[1,4,7,12,38,58,78,79,80,208,251,253,332,620,897,1520],[1,2,
9,10,11,12,13,61,63,72,75,254,255,256,257,258,671,672,674,687,898,1521],[1,3,
9,10,11,12,13,64,67,70,71,254,255,256,257,258,673,675,677,678,898,1522],[1,2,
9,10,11,12,13,61,62,72,254,255,256,257,258,670,674,689,898,1523],[1,3,9,10,11,
12,13,64,70,81,254,255,256,257,258,673,679,691,898,1524],[1,4,9,10,11,12,13,
73,77,78,82,254,255,256,257,258,680,690,692,696,898,1525],[1,4,9,10,11,12,13,
68,73,76,79,85,254,255,256,257,258,676,683,688,693,697,898,1526],[1,7,9,10,11,
12,13,74,80,86,87,254,255,256,257,258,684,694,695,698,898,1527],[1,4,5,36,41,
44,90,197,362,363,899,900,901,1528],[1,7,55,90,236,1529],[1,2,5,9,16,60,63,65,
259,261,278,364,699,902,903,1530],[1,2,3,4,9,15,60,63,67,68,259,260,263,279,
364,700,902,904,905,1531],[1,2,4,6,9,18,60,63,68,69,259,262,263,280,364,701,
902,905,906,1532],[1,5,9,41,60,65,261,284,364,706,903,1533],[1,5,9,43,60,65,
261,287,364,709,903,1534],[1,3,5,6,9,26,60,65,67,69,260,261,262,288,364,703,
903,904,906,1535],[1,4,5,9,36,60,65,68,261,263,289,364,708,903,905,1536],[1,5,
6,9,42,60,65,69,261,262,290,364,707,903,906,1537],[1,5,9,44,60,65,261,291,364,
710,903,1538],[1,3,9,29,60,67,260,297,364,705,904,1539],[1,3,9,24,60,67,260,
298,364,704,904,1540],[1,3,9,22,60,67,260,299,364,702,904,1541],[1,6,9,48,60,
69,262,302,364,711,906,1542],[1,2,3,4,10,15,60,70,72,73,259,260,263,312,365,
700,907,908,909,1543],[1,3,10,22,60,70,260,310,365,702,908,1544],[1,3,10,24,
60,70,260,313,365,704,908,1545],[1,2,3,4,11,15,60,71,75,76,259,260,263,321,
366,700,910,911,912,1546],[1,5,10,41,60,261,353,365,706,1547],[1,5,11,41,60,
261,354,366,706,1548],[1,3,9,21,60,64,260,303,1549],[1,3,13,23,60,81,260,320,
1550],[1,10,12,13,90,257,712,713,714,1551],[1,2,3,4,5,6,14,15,16,17,18,21,22,
23,24,25,26,27,28,29,36,37,41,42,43,44,47,48,49,91,92,93,94,95,96,97,102,103,
104,105,106,114,115,116,119,123,124,125,129,130,131,136,137,143,144,149,154,
155,156,157,158,159,160,161,170,197,198,199,204,367,368,369,372,373,378,379,
383,384,385,386,405,409,413,414,415,416,438,441,442,443,444,460,463,464,465,
466,480,481,482,483,497,498,499,500,513,514,515,516,913,916,917,925,926,935,
936,973,974,979,980,997,998,1028,1029,1552],[1,2,3,4,5,6,7,8,14,15,16,17,18,
19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,45,50,51,91,
92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,
113,117,120,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,
138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,162,163,164,
165,171,172,173,175,176,179,189,200,205,367,368,369,370,371,372,373,374,375,
376,377,378,379,380,381,382,387,388,391,392,393,394,395,396,398,399,401,405,
406,407,408,409,410,411,412,417,418,419,424,425,426,427,428,438,439,440,445,
446,449,460,461,462,467,468,471,484,485,486,491,492,501,502,507,517,913,914,
915,918,920,927,928,931,932,937,940,952,954,975,981,999,1030,1553],[1,2,3,4,5,
6,8,14,15,16,17,18,21,22,23,24,25,26,27,28,29,34,35,36,37,42,43,44,46,49,52,
53,54,91,92,93,94,95,96,97,102,103,104,105,106,115,116,118,121,123,124,125,
128,129,130,131,136,137,141,142,143,144,147,148,149,157,158,159,161,166,167,
168,169,170,174,177,178,180,201,202,203,206,367,368,369,372,373,378,379,385,
386,389,390,405,409,420,421,422,423,438,440,443,444,447,448,450,460,465,466,
469,470,487,488,489,490,493,503,504,505,506,508,518,519,520,521,913,917,919,
929,930,938,939,976,977,982,983,1000,1001,1031,1032,1554],[1,2,3,4,7,14,15,19,
21,22,23,24,25,30,31,32,33,38,55,57,91,92,93,98,99,102,103,107,108,109,123,
126,127,129,132,133,138,139,140,145,146,150,181,182,184,186,188,207,367,370,
374,375,380,396,397,398,402,406,410,439,451,452,453,454,461,472,473,474,494,
495,509,510,522,914,921,922,933,941,942,1002,1003,1033,1555],[1,2,3,4,6,7,8,
14,15,18,19,20,21,22,23,24,25,27,29,30,31,32,33,34,35,37,38,40,51,56,58,91,92,
93,95,97,98,99,100,101,102,103,105,106,107,108,109,112,113,122,123,126,127,
128,129,132,133,134,135,137,138,139,140,142,145,146,150,153,171,172,179,182,
183,185,187,188,189,190,191,192,208,367,370,371,373,374,375,377,380,391,395,
396,398,399,400,401,403,404,406,410,424,427,439,452,454,455,456,457,461,473,
475,476,477,478,479,491,495,496,509,511,512,523,524,525,914,923,924,931,934,
943,944,961,963,969,971,1003,1004,1034,1035,1556],[1,2,3,4,5,6,7,8,14,15,16,
17,18,19,20,21,22,26,27,30,31,32,33,34,35,36,39,41,42,43,44,45,46,47,48,50,51,
52,53,54,91,94,95,98,99,100,101,104,110,114,115,116,117,118,119,120,121,124,
126,127,128,130,132,133,134,135,154,155,156,160,161,162,163,164,165,166,167,
168,169,171,172,173,174,193,196,197,198,201,203,209,210,213,214,215,216,222,
223,368,370,371,383,384,387,388,389,390,391,392,413,420,429,431,432,434,441,
442,445,446,447,448,463,464,467,468,469,470,528,529,530,531,532,533,534,535,
536,537,538,539,549,550,551,552,916,918,919,945,946,947,948,1005,1006,1007,
1008,1036,1037,1038,1039,1557],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,20,21,22,26,
27,28,29,30,31,32,33,34,35,36,39,42,43,44,45,49,50,51,52,91,94,95,98,99,100,
101,104,110,115,116,117,120,124,125,126,127,128,130,132,133,134,135,157,158,
159,160,161,162,163,164,165,167,170,171,172,173,175,176,177,178,179,180,198,
201,214,216,217,224,368,370,371,385,386,387,388,391,392,414,421,432,443,444,
445,446,449,450,465,466,467,468,540,541,542,543,544,545,546,547,548,549,568,
569,917,918,949,950,951,1009,1010,1011,1040,1041,1042,1558],[1,2,3,4,5,6,7,8,
14,15,16,17,18,19,20,21,22,25,26,27,30,31,32,33,34,35,36,37,38,39,40,45,50,51,
55,56,91,94,95,98,99,100,101,102,104,105,108,110,112,117,120,122,124,126,127,
128,130,132,133,134,135,149,150,152,162,163,164,165,171,172,173,181,182,183,
188,189,190,191,192,200,205,218,225,368,370,371,387,388,391,392,396,397,399,
400,404,405,407,418,425,445,446,451,452,454,455,457,467,468,472,475,476,479,
517,524,553,554,561,570,574,918,921,923,952,953,961,962,1012,1013,1015,1043,
1559],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,20,21,22,24,26,27,29,30,31,32,33,34,
35,36,39,45,50,51,57,58,91,94,95,98,99,100,101,103,104,106,109,110,113,117,
120,124,126,127,128,130,132,133,134,135,143,146,148,162,163,164,165,171,172,
173,179,182,184,185,192,220,229,368,370,371,387,388,391,392,398,401,402,403,
409,411,419,445,446,453,454,456,467,468,473,474,476,477,478,502,511,554,557,
571,918,922,924,954,959,963,964,1014,1015,1044,1045,1560],[1,2,3,4,5,6,7,8,14,
15,16,17,18,19,20,21,22,26,27,30,31,32,33,34,35,36,39,42,44,45,46,47,50,51,52,
53,54,56,59,91,94,95,98,99,100,101,104,110,116,117,118,120,121,124,126,127,
128,130,132,133,134,135,155,158,162,163,164,165,166,167,168,169,171,172,173,
174,183,191,193,194,195,199,202,211,212,215,217,219,222,226,227,228,235,368,
370,371,387,388,389,390,391,392,415,422,430,433,435,436,445,446,447,448,455,
458,467,468,469,470,532,544,555,556,562,563,564,565,566,567,572,575,918,919,
955,956,960,1016,1017,1020,1046,1047,1050,1561],[1,2,3,4,5,6,7,8,14,15,16,17,
18,19,20,21,22,26,27,29,30,31,32,33,34,35,36,39,45,48,50,51,54,58,91,94,95,98,
99,100,101,104,110,117,120,124,126,127,128,130,132,133,134,135,156,159,162,
163,164,165,169,171,172,173,179,180,185,195,196,221,223,227,230,368,370,371,
387,388,391,392,416,423,437,445,446,456,459,467,468,536,547,556,558,573,576,
918,957,958,1018,1019,1048,1049,1562],[1,2,3,4,6,7,14,15,17,18,19,21,22,25,28,
29,30,31,32,33,38,39,50,55,58,91,96,97,98,99,102,106,108,111,113,120,125,126,
127,131,132,133,150,151,153,175,176,179,181,182,185,188,208,231,369,370,393,
394,395,396,397,401,403,408,428,449,451,452,454,456,471,472,477,478,523,525,
577,578,587,920,921,924,965,969,970,1021,1022,1051,1563],[1,2,3,4,6,7,8,14,15,
17,18,19,20,21,22,24,25,27,28,29,30,31,32,33,34,35,37,38,39,40,50,51,56,57,91,
93,95,96,97,98,99,100,101,102,103,105,106,108,109,111,112,113,120,122,125,126,
127,128,131,132,133,134,135,144,145,146,147,150,151,153,171,172,175,176,179,
182,183,184,188,189,190,191,192,207,232,369,370,371,379,380,381,391,393,394,
395,396,398,399,400,401,402,404,408,412,426,428,449,452,453,454,455,457,471,
473,474,475,476,478,479,507,509,512,522,524,525,571,578,579,920,922,923,940,
941,944,961,964,966,971,972,1022,1023,1052,1053,1564],[1,2,3,4,5,6,7,8,14,15,
16,17,18,19,20,23,26,28,30,31,34,36,39,41,42,43,44,45,46,49,50,52,92,94,96,98,
100,104,107,110,111,114,115,116,117,118,120,136,138,141,154,157,160,161,162,
163,166,167,175,177,197,198,201,203,213,214,216,224,372,374,376,383,385,387,
389,393,413,414,417,420,421,431,432,480,483,484,487,490,528,529,540,541,549,
550,925,927,929,945,949,984,987,1058,1067,1565],[1,2,3,4,5,6,7,8,14,15,16,17,
18,19,20,23,24,25,26,28,29,32,33,35,36,37,38,40,41,42,43,44,45,46,49,51,53,54,
92,93,94,96,97,99,101,104,108,109,112,113,114,115,116,117,118,121,122,136,139,
140,142,143,147,149,151,154,157,158,159,160,161,164,165,168,169,176,178,197,
198,199,200,202,203,206,213,215,216,217,372,375,377,378,381,383,385,386,388,
390,394,413,414,418,419,422,423,431,433,480,483,485,486,488,489,497,500,503,
506,513,516,518,521,530,531,542,543,546,548,551,552,604,605,925,928,930,935,
938,946,950,985,986,988,989,1059,1060,1068,1069,1566],[1,2,3,4,5,6,7,8,14,15,
16,17,18,19,20,23,26,27,28,29,30,31,34,35,36,39,42,44,45,46,47,48,50,51,52,53,
54,92,94,96,98,100,104,107,110,111,116,117,118,119,120,121,136,137,138,141,
142,155,156,158,159,162,163,166,167,168,169,170,171,174,175,178,179,180,193,
196,199,202,209,210,215,217,222,223,372,374,376,384,386,387,389,390,393,415,
416,417,422,423,429,433,434,481,482,484,488,489,491,493,532,533,536,537,544,
545,547,562,568,926,927,930,947,951,955,957,990,993,1061,1064,1567],[1,2,3,4,
5,6,7,8,14,15,16,17,18,19,20,23,24,25,26,27,28,29,32,33,34,35,36,37,38,40,42,
43,44,45,46,47,48,49,50,51,52,53,92,93,94,96,97,99,101,104,108,109,112,113,
115,116,117,118,119,122,136,137,139,140,141,142,143,144,147,148,149,151,155,
156,157,158,159,161,164,165,166,167,170,173,174,176,177,178,180,198,199,200,
201,202,203,204,214,215,216,217,222,372,375,377,378,381,384,385,386,388,389,
394,415,416,418,419,420,421,432,433,481,482,485,486,487,490,492,493,498,499,
504,505,508,514,515,519,520,534,535,538,539,542,543,546,548,569,605,606,926,
928,929,936,939,948,950,991,992,994,995,1062,1063,1065,1066,1568],[1,2,3,4,5,
6,7,8,14,15,16,17,18,19,20,23,26,28,30,31,32,33,34,35,36,39,45,50,51,55,56,57,
58,92,94,96,98,99,100,101,104,107,110,111,117,120,136,138,141,162,163,164,165,
175,181,182,183,184,185,186,187,188,190,191,192,218,220,225,229,231,232,372,
374,376,387,388,393,397,400,402,403,404,417,484,494,495,496,553,554,557,559,
561,577,578,579,581,927,933,934,953,959,965,966,1070,1071,1569],[1,2,3,4,5,6,
7,8,14,15,16,17,18,19,20,23,26,28,30,31,34,35,36,39,45,46,50,53,54,56,58,59,
92,94,96,98,100,104,107,110,111,117,120,121,136,138,141,162,163,168,169,175,
183,185,187,194,195,211,212,219,221,226,227,228,230,233,234,372,374,376,387,
390,393,417,430,435,436,437,484,496,555,556,558,560,563,580,582,583,584,927,
956,958,967,968,1072,1073,1570],[1,2,3,4,6,7,8,14,15,18,19,20,22,23,25,27,29,
30,31,32,33,34,35,37,38,40,50,51,55,56,57,92,95,97,98,99,100,101,105,106,107,
112,113,122,129,132,133,134,135,137,138,139,142,150,153,171,172,173,179,181,
182,184,186,188,189,190,191,192,207,225,373,374,377,391,392,395,397,399,401,
402,404,424,427,461,472,474,476,478,479,491,494,495,522,524,525,570,571,574,
587,931,933,962,964,970,972,1033,1035,1074,1571],[1,2,3,4,7,14,15,19,23,30,31,
32,33,55,57,92,98,99,107,138,181,182,184,186,188,236,237,238,249,374,397,402,
494,495,591,597,933,1076,1077,1572],[1,2,3,4,7,14,15,19,23,30,31,32,33,55,57,
92,98,99,107,138,181,182,184,186,188,237,248,374,397,402,494,495,592,598,933,
1078,1079,1573],[1,2,3,4,7,8,14,15,19,23,30,31,32,33,35,55,56,57,58,92,98,99,
101,107,138,181,182,183,184,185,186,187,188,190,239,240,241,242,246,250,374,
397,400,402,403,494,495,496,593,595,599,600,933,934,1077,1080,1082,1574],[1,2,
3,4,7,14,15,19,23,30,31,32,33,55,57,58,92,98,99,107,138,181,182,184,186,188,
240,248,374,397,402,494,495,594,598,933,1079,1081,1575],[1,2,3,4,5,6,7,8,14,
15,16,17,18,19,20,24,25,26,29,30,31,34,36,37,38,39,40,41,42,43,44,45,46,50,52,
93,94,97,98,100,104,110,114,115,116,117,118,120,143,145,146,148,149,150,152,
153,154,158,159,160,161,162,163,166,167,179,180,189,197,198,199,200,201,202,
203,205,213,214,216,217,378,380,382,383,386,387,389,395,413,420,431,432,497,
500,501,502,504,505,513,516,517,519,520,528,529,544,545,547,549,550,562,604,
606,935,937,939,945,951,1085,1086,1091,1092,1103,1106,1576],[1,2,3,4,5,6,7,8,
14,15,16,17,18,19,20,24,25,26,27,28,29,30,31,34,35,36,37,38,39,40,42,43,44,45,
46,47,48,49,50,51,52,53,54,93,94,97,98,100,104,110,115,116,117,119,120,121,
143,144,145,146,147,148,149,150,152,153,155,156,157,160,161,162,163,166,167,
168,169,170,171,174,175,177,178,179,189,193,196,198,199,200,201,202,203,204,
205,206,209,210,214,215,216,222,223,224,378,380,382,384,385,387,390,395,414,
421,429,432,434,498,499,501,502,503,506,507,508,514,515,517,518,521,532,533,
536,537,540,541,549,550,562,568,585,605,609,936,937,938,947,949,1087,1088,
1089,1090,1104,1105,1577],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,20,21,24,25,26,
27,29,30,31,32,33,34,35,36,37,38,39,40,45,50,51,57,58,93,94,97,98,100,102,104,
105,108,110,112,117,120,122,124,126,127,128,143,145,146,148,149,150,152,153,
162,163,164,165,171,172,173,179,182,184,185,188,189,190,192,200,205,207,208,
220,229,378,380,382,387,395,396,399,402,403,405,407,418,425,445,446,452,453,
456,457,501,502,509,511,517,522,523,524,525,554,557,561,571,574,607,610,937,
941,943,952,959,969,972,1013,1014,1093,1107,1578],[1,2,3,4,5,6,7,8,14,15,16,
17,18,19,20,22,24,25,26,29,30,31,32,33,34,35,36,37,38,39,40,45,50,51,55,56,93,
94,97,98,99,100,101,103,104,106,109,110,113,117,120,130,132,133,134,135,143,
145,146,148,149,150,152,153,162,163,164,165,179,181,182,183,188,189,190,191,
192,200,205,218,225,378,380,382,387,388,395,397,398,400,401,404,409,411,419,
467,468,472,473,475,478,479,501,502,509,510,512,517,525,553,554,561,587,937,
942,944,953,954,970,971,1043,1044,1093,1094,1579],[1,2,3,4,5,6,7,8,14,15,16,
17,18,19,20,24,25,26,27,29,30,31,34,35,36,37,38,39,40,42,44,45,46,47,50,51,52,
53,54,58,93,94,97,98,100,104,110,116,117,118,120,143,145,146,148,149,150,152,
153,155,158,162,163,166,167,168,169,171,174,179,185,189,193,195,199,200,202,
205,209,211,212,215,217,221,222,227,230,378,380,382,387,389,395,415,422,433,
437,501,502,511,517,526,532,533,544,556,558,562,563,573,608,611,937,955,958,
1095,1098,1108,1111,1580],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,20,24,25,26,29,
30,31,34,35,36,37,38,39,40,45,46,48,50,53,54,56,59,93,94,97,98,100,104,110,
117,120,121,143,145,146,148,149,150,152,153,156,159,162,163,168,169,179,180,
183,189,194,195,196,200,205,210,211,212,219,223,226,227,228,378,380,382,387,
390,395,416,423,430,435,436,501,502,512,517,527,536,537,547,555,556,563,588,
589,612,613,937,956,957,1096,1097,1109,1110,1581],[1,2,3,4,6,7,8,14,15,17,18,
19,20,22,24,25,27,28,30,31,32,33,34,35,37,38,39,40,50,51,55,56,58,93,95,96,98,
99,100,101,103,105,109,111,112,120,122,131,132,133,134,135,144,145,146,147,
150,151,171,172,173,175,181,182,185,188,189,190,191,192,208,225,231,379,380,
381,391,392,393,397,398,399,403,404,412,426,471,472,473,476,477,479,507,509,
510,511,523,524,570,574,577,578,940,942,943,962,963,965,1051,1052,1099,1582],[
1,2,3,4,5,6,7,8,14,15,16,17,18,19,20,21,25,26,27,30,31,32,34,35,36,37,38,39,
40,41,42,43,44,45,46,47,50,51,52,53,94,98,100,102,104,105,108,110,112,114,115,
116,117,118,120,122,124,126,128,149,150,152,154,155,158,160,161,162,163,164,
166,167,168,171,173,174,189,193,197,198,199,200,201,202,203,205,213,214,215,
216,217,222,383,387,389,396,399,405,407,413,415,418,420,422,425,431,432,433,
441,444,445,447,513,514,517,520,521,528,529,530,532,534,544,546,549,550,562,
604,605,606,945,952,955,973,976,985,991,1005,1011,1103,1104,1583],[1,2,3,4,5,
6,7,8,14,15,16,17,18,19,20,26,30,31,32,33,34,35,36,39,41,42,43,44,45,46,50,51,
52,53,54,55,56,59,94,98,99,100,101,104,110,114,115,116,117,118,120,121,154,
160,161,162,163,164,165,166,167,168,169,181,182,183,188,190,191,192,194,195,
197,198,201,203,211,212,213,214,215,216,218,219,225,226,227,228,235,383,387,
388,389,390,397,400,404,413,420,430,431,432,435,436,528,529,530,531,549,550,
551,552,553,554,555,556,561,563,564,565,566,567,622,624,945,946,953,956,960,
1116,1117,1120,1137,1138,1141,1584],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,20,22,
24,26,29,30,31,33,34,36,39,41,42,43,44,45,46,48,50,52,54,94,98,100,103,104,
106,109,110,113,114,115,116,117,118,120,130,132,135,143,146,148,154,156,159,
160,161,162,163,165,166,167,169,179,180,196,197,198,201,203,213,214,216,223,
383,387,389,398,401,409,411,413,416,419,420,423,431,432,463,466,467,469,497,
499,502,504,506,528,529,531,536,539,547,548,549,550,945,954,957,979,982,986,
995,1036,1042,1086,1090,1585],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,20,26,30,31,
33,34,36,39,41,42,43,44,45,46,50,52,54,57,58,94,98,100,104,110,114,115,116,
117,118,120,154,160,161,162,163,165,166,167,169,182,184,185,192,195,197,198,
201,203,213,214,216,220,221,227,229,230,383,387,389,402,403,413,420,431,432,
437,528,529,531,549,550,554,556,557,558,566,623,625,945,958,959,1117,1118,
1139,1140,1586],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,20,21,25,26,27,30,31,32,34,
35,36,37,38,39,40,42,45,46,47,48,50,51,52,53,54,56,59,94,98,100,102,104,105,
108,110,112,117,119,120,121,122,124,126,128,149,150,152,155,156,162,163,164,
166,168,169,171,173,174,183,189,191,193,194,195,196,200,205,209,210,211,212,
215,219,222,223,226,227,228,235,384,387,390,396,399,405,407,418,425,429,430,
434,435,436,445,447,455,458,459,517,526,527,532,533,536,537,555,556,563,564,
572,575,576,611,612,613,947,952,956,978,996,1016,1019,1108,1109,1587],[1,2,3,
4,5,6,7,8,14,15,16,17,18,19,20,26,27,30,31,32,33,34,35,36,39,42,44,45,46,47,
48,50,51,52,53,54,55,56,59,94,98,99,100,101,104,110,116,117,118,119,120,121,
155,156,158,162,163,164,165,166,167,168,169,171,173,174,181,182,183,188,190,
191,192,193,194,196,199,202,209,210,214,215,217,218,219,222,223,225,226,228,
235,384,387,388,389,390,397,400,404,415,422,429,433,434,532,533,534,535,536,
537,538,539,544,553,554,561,562,564,565,566,567,570,572,575,624,641,947,948,
953,955,960,1121,1122,1124,1125,1126,1129,1588],[1,2,3,4,5,6,7,8,14,15,16,17,
18,19,20,22,24,26,27,29,30,31,33,34,35,36,39,42,45,46,47,48,50,51,52,53,54,58,
94,98,100,103,104,106,109,110,113,117,119,120,121,130,132,135,143,146,148,155,
156,162,163,165,166,168,169,171,174,179,185,193,195,196,209,210,215,221,222,
223,227,230,384,387,390,398,401,409,411,419,429,434,437,467,469,502,511,532,
533,536,537,556,558,566,573,947,954,958,1046,1049,1095,1097,1589],[1,2,3,4,5,
6,7,8,14,15,16,17,18,19,20,26,27,29,30,31,33,34,35,36,39,42,45,46,47,48,50,51,
52,53,54,57,58,94,98,100,104,110,117,119,120,121,155,156,159,162,163,165,166,
168,169,171,174,179,180,182,184,185,192,193,196,209,210,215,220,222,223,229,
384,387,390,402,403,416,423,429,434,532,533,536,537,539,547,554,557,566,571,
573,590,642,947,957,959,1123,1124,1127,1128,1590],[1,2,3,4,5,6,7,8,14,15,16,
17,18,19,20,21,25,26,27,28,29,30,31,32,34,35,36,37,38,39,40,42,43,44,45,48,49,
50,51,52,54,94,98,100,102,104,105,108,110,112,115,116,117,120,122,124,125,126,
128,149,150,152,156,157,159,160,161,162,163,164,167,169,170,171,173,175,176,
177,178,179,180,189,196,198,200,201,204,205,206,214,216,223,224,385,387,396,
399,405,407,414,416,418,421,423,425,432,442,443,445,448,449,450,515,516,517,
518,519,536,538,540,541,542,547,549,551,568,569,585,609,949,952,957,974,977,
988,994,1007,1009,1105,1106,1591],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,20,26,28,
30,31,32,33,34,35,36,39,42,43,44,45,49,50,51,52,54,55,56,58,94,98,99,100,101,
104,110,115,116,117,120,157,160,161,162,163,164,165,167,169,175,177,181,182,
183,185,188,190,191,192,195,198,201,214,216,218,221,224,225,227,230,231,233,
234,385,387,388,397,400,404,414,421,432,437,540,541,549,551,553,554,556,558,
561,565,577,580,586,626,643,949,953,958,1130,1131,1137,1140,1592],[1,2,3,4,5,
6,7,8,14,15,16,17,18,19,20,22,24,26,27,28,29,30,31,33,34,35,36,39,42,43,44,45,
46,47,49,50,51,52,53,94,98,100,103,104,106,109,110,113,115,116,117,118,120,
130,132,135,143,144,146,147,148,155,157,158,160,161,162,163,165,166,167,168,
170,171,174,175,177,178,179,193,198,199,201,202,214,215,216,217,222,224,385,
387,389,398,401,409,411,414,415,419,421,422,432,433,464,465,467,470,498,500,
502,503,505,507,508,532,535,540,541,543,544,549,552,562,568,949,954,955,980,
983,989,992,1038,1040,1088,1092,1593],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,20,
26,28,30,31,33,34,35,36,39,42,43,44,45,46,49,50,52,53,54,56,57,58,59,94,98,
100,104,110,115,116,117,120,121,157,160,161,162,163,165,167,168,169,175,177,
182,183,184,185,192,194,195,198,201,211,212,214,216,219,220,224,226,227,228,
229,232,233,234,385,387,390,402,403,414,421,430,432,435,436,540,541,549,552,
554,555,556,557,563,567,579,580,586,627,644,645,949,956,959,1131,1132,1138,
1139,1594],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,20,21,25,26,27,29,30,31,32,34,
35,36,37,38,39,40,44,45,50,51,54,58,94,98,100,102,104,105,108,110,112,117,120,
122,124,126,128,149,150,152,158,159,162,163,164,167,169,171,173,179,180,185,
189,195,200,205,217,221,227,230,386,387,396,399,405,407,418,425,437,445,448,
456,517,544,545,547,556,558,565,573,589,608,951,952,958,1017,1018,1110,1111,
1595],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,20,26,29,30,31,32,33,34,35,36,39,44,
45,48,50,51,54,55,56,94,98,99,100,101,104,110,117,120,156,158,159,162,163,164,
165,167,169,179,180,181,182,183,188,190,191,192,196,217,218,223,225,386,387,
388,397,400,404,416,423,536,538,544,545,547,553,554,561,565,587,588,590,951,
953,957,1126,1127,1134,1136,1596],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,20,22,24,
26,29,30,31,33,34,35,36,39,44,45,46,50,53,54,56,59,94,98,100,103,104,106,109,
110,113,117,120,121,130,132,135,143,146,148,158,159,162,163,165,167,168,169,
179,180,183,194,195,211,212,217,219,226,227,228,386,387,390,398,401,409,411,
419,430,435,436,467,470,502,512,544,545,547,555,556,563,567,588,951,954,956,
1047,1048,1096,1098,1597],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,20,26,27,29,30,
31,33,34,35,36,39,42,44,45,46,47,50,51,52,53,57,58,94,98,100,104,110,116,117,
118,120,155,158,159,162,163,165,166,167,168,171,174,179,180,182,184,185,192,
193,199,202,215,217,220,222,229,386,387,389,402,403,415,422,433,532,535,544,
545,547,554,557,562,567,571,573,628,951,955,959,1122,1123,1134,1135,1598],[1,
2,3,4,6,7,8,14,15,17,18,19,28,30,31,32,33,39,50,53,54,55,56,58,96,98,99,111,
120,121,175,181,182,185,187,188,211,226,227,230,231,233,239,240,241,244,247,
252,393,397,403,435,437,577,578,582,583,593,601,654,668,965,967,1161,1162,
1167,1599],[1,2,3,4,6,7,14,15,17,18,19,28,30,31,32,33,39,50,55,58,96,98,99,
111,120,175,181,182,185,188,231,240,251,393,397,403,577,578,594,603,965,1163,
1166,1600],[1,2,3,4,6,7,8,14,15,17,18,19,28,30,31,32,33,39,50,53,54,55,56,58,
96,98,99,111,120,121,175,181,182,185,187,188,212,227,228,230,231,234,239,240,
241,245,247,253,393,397,403,436,437,577,578,583,584,593,602,656,666,965,968,
1162,1164,1168,1601],[1,2,3,4,6,7,14,15,17,18,19,28,30,31,32,33,39,50,55,58,
96,98,99,111,120,175,181,182,185,188,231,240,251,393,397,403,577,578,594,603,
965,1165,1166,1602],[1,2,3,4,6,7,8,14,15,17,18,19,28,30,31,33,35,39,50,53,54,
56,57,58,59,96,98,101,111,120,121,175,182,183,184,187,190,211,212,226,227,228,
230,232,233,234,242,243,244,245,246,247,250,393,400,402,435,436,437,578,579,
582,583,584,596,599,655,657,667,669,966,967,968,1167,1168,1171,1172,1603],[1,
2,3,4,5,6,15,16,18,21,23,24,25,26,27,28,29,31,33,36,37,39,41,42,43,44,47,49,
54,102,104,105,107,109,111,113,114,116,123,124,125,127,136,137,139,143,144,
145,149,151,153,154,155,157,158,159,161,163,165,167,169,170,172,197,198,199,
201,206,209,405,406,408,413,415,417,419,421,423,424,426,438,441,443,444,446,
448,480,481,485,489,490,497,498,501,505,506,513,514,518,519,529,531,533,535,
541,543,545,548,973,975,977,984,986,990,992,997,1001,1006,1010,1059,1062,1085,
1087,1604],[1,2,3,4,5,6,8,15,16,18,21,23,24,25,26,27,28,29,31,33,34,35,36,37,
39,42,43,44,46,48,49,52,53,102,104,105,107,109,111,113,115,118,123,124,125,
127,128,136,137,139,141,142,143,144,145,147,148,149,151,153,156,157,158,159,
160,161,163,165,166,168,170,172,174,177,178,180,198,201,202,203,204,210,405,
406,408,414,416,417,419,420,422,424,426,438,440,442,443,444,446,447,450,482,
483,485,487,488,493,499,500,501,503,504,508,515,516,520,521,537,539,541,543,
545,548,550,552,974,975,976,987,989,993,995,998,1000,1008,1010,1065,1068,1089,
1091,1605],[1,2,3,4,5,6,7,8,15,16,18,19,20,22,23,24,25,26,28,29,31,32,35,36,
37,38,39,40,41,42,43,44,45,46,48,49,51,53,103,104,106,107,108,111,112,114,116,
117,118,122,129,130,131,133,134,136,140,142,143,145,147,149,153,154,156,157,
158,159,161,163,164,167,168,176,178,197,198,199,200,201,202,203,204,210,213,
215,216,217,409,410,412,413,416,417,418,421,422,427,428,431,433,460,463,465,
466,468,470,480,482,486,488,490,497,499,501,503,505,513,515,519,521,529,530,
537,538,541,542,545,546,604,605,979,981,983,984,985,993,994,1028,1032,1037,
1041,1060,1066,1085,1089,1606],[1,2,3,4,5,6,7,8,15,16,18,19,20,22,23,24,25,26,
27,28,29,31,32,34,35,36,37,38,39,40,42,43,44,45,46,47,49,50,51,52,53,54,103,
104,106,107,108,111,112,115,116,117,118,122,129,130,131,133,134,136,137,140,
141,142,143,144,145,147,148,149,153,155,157,158,159,160,161,163,164,166,169,
170,173,174,176,177,178,180,198,199,200,201,202,203,206,209,214,215,216,217,
222,409,410,412,414,415,417,418,420,423,427,428,432,433,460,464,465,466,468,
469,481,483,486,487,489,492,493,498,500,501,504,506,508,514,516,518,520,533,
534,541,542,545,546,550,551,569,605,606,980,981,982,987,988,990,991,1029,1031,
1039,1041,1063,1069,1087,1091,1607],[1,3,5,6,7,8,21,23,24,26,27,28,29,30,32,
34,35,41,42,45,46,47,49,50,51,52,53,123,124,125,126,128,136,137,138,140,141,
142,143,144,146,147,148,154,155,157,159,162,164,166,168,170,171,173,174,175,
176,177,178,179,180,193,213,214,215,222,224,438,439,440,441,443,445,447,449,
450,480,481,484,486,487,488,491,492,493,497,498,502,503,504,507,508,528,530,
532,534,540,542,547,568,569,997,999,1000,1005,1009,1058,1060,1061,1063,1086,
1088,1608],[1,3,5,6,7,8,21,23,24,26,27,28,29,30,32,34,35,43,44,45,48,50,51,54,
123,124,125,126,128,136,137,138,140,141,142,143,144,146,147,148,156,158,160,
161,162,164,167,169,171,173,175,176,179,196,216,217,223,438,439,440,442,444,
445,448,449,482,483,484,486,489,490,491,492,499,500,502,505,506,507,536,538,
544,546,549,551,998,999,1001,1007,1011,1064,1066,1067,1069,1090,1092,1609],[1,
3,5,6,7,8,21,23,24,26,27,28,29,30,32,34,35,45,50,51,55,56,57,58,123,124,125,
126,128,136,137,138,140,141,142,143,144,146,147,148,162,164,171,173,175,176,
179,181,183,184,185,186,187,191,218,220,225,229,231,232,438,439,440,445,449,
451,453,455,456,484,486,491,492,494,496,502,507,510,511,512,553,557,559,570,
571,577,579,581,587,999,1002,1004,1012,1014,1021,1023,1070,1074,1094,1099,
1610],[1,3,4,5,6,7,8,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,
40,45,50,51,123,124,125,126,127,128,129,130,131,132,135,136,137,138,139,140,
141,142,143,144,146,147,148,149,150,151,152,162,163,164,165,171,172,173,175,
176,179,182,188,189,190,192,200,205,438,439,440,445,446,449,452,454,457,460,
461,462,467,471,473,476,478,484,485,486,491,492,495,502,507,509,517,524,525,
554,561,574,578,999,1003,1013,1015,1022,1030,1035,1044,1052,1071,1093,1611],[
1,3,5,6,7,8,21,23,24,26,27,28,29,30,32,34,35,42,45,46,47,50,51,52,53,56,58,59,
123,124,125,126,128,136,137,138,140,141,142,143,144,146,147,148,155,159,162,
164,166,168,170,171,173,174,175,176,178,179,180,183,185,187,191,193,194,215,
219,221,222,226,228,230,233,234,235,438,439,440,445,447,449,455,456,458,481,
484,486,488,491,492,493,496,502,507,511,512,532,547,555,558,560,564,568,572,
573,575,580,582,584,588,999,1004,1016,1018,1024,1061,1072,1075,1095,1096,1100,
1612],[1,3,5,6,7,8,21,23,24,26,27,28,29,30,32,34,35,44,45,48,50,51,54,123,124,
125,126,128,136,137,138,140,141,142,143,144,146,147,148,156,158,162,164,167,
169,171,173,175,176,179,195,196,217,223,227,438,439,440,445,448,449,459,482,
484,486,489,491,492,502,507,536,544,556,565,576,583,999,1017,1019,1064,1073,
1097,1098,1613],[1,3,7,21,23,24,30,32,55,57,123,126,138,140,146,181,184,186,
236,237,238,249,439,451,453,494,510,591,592,597,1002,1026,1076,1078,1101,
1614],[1,3,7,21,23,24,30,32,33,55,57,123,126,138,140,146,181,182,184,186,248,
439,451,453,494,495,510,598,1002,1077,1079,1615],[1,3,7,8,21,23,24,30,32,35,
55,56,57,58,123,126,138,140,146,181,183,184,185,186,187,239,240,241,242,246,
250,439,451,453,494,496,510,593,594,595,599,600,1002,1027,1080,1081,1102,
1616],[1,3,5,6,7,8,21,26,27,30,32,34,35,41,42,45,46,47,50,51,52,53,55,56,59,
124,126,128,154,155,162,164,166,168,171,173,174,181,183,191,193,194,213,214,
215,218,219,222,225,226,228,235,441,445,447,451,455,458,528,530,532,534,553,
555,564,570,572,575,622,624,641,1005,1012,1016,1116,1121,1617],[1,3,4,5,6,7,8,
21,25,26,27,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,50,51,52,53,54,
124,126,127,128,149,150,152,154,155,158,162,163,164,165,166,167,168,169,171,
172,173,174,182,188,189,190,192,193,195,197,199,200,201,202,205,209,211,212,
213,214,215,217,222,227,441,445,446,447,448,452,457,513,517,520,524,526,528,
529,530,531,532,533,534,535,544,554,556,561,562,563,565,566,567,574,604,606,
611,1005,1006,1013,1017,1020,1103,1108,1117,1120,1122,1125,1618],[1,3,5,6,7,8,
21,24,26,27,29,30,32,34,35,41,42,45,46,47,50,51,52,53,57,58,124,126,128,143,
146,148,154,155,159,162,164,166,168,171,173,174,179,180,184,185,193,213,214,
215,220,221,222,229,230,441,445,447,453,456,497,502,504,511,528,530,532,534,
547,557,558,571,573,623,625,1005,1014,1018,1086,1095,1118,1123,1619],[1,3,5,6,
7,8,21,22,26,27,30,32,33,34,35,41,42,45,46,47,48,50,51,52,53,54,124,126,128,
130,132,135,154,155,156,162,164,165,166,168,169,171,173,174,182,192,193,195,
196,213,214,215,222,223,227,441,445,447,454,459,463,467,469,476,528,530,531,
532,534,536,539,554,556,566,576,1005,1015,1019,1036,1046,1117,1124,1620],[1,3,
5,6,7,8,21,26,27,30,32,34,35,43,44,45,48,50,51,54,55,56,124,126,128,156,158,
160,161,162,164,167,169,171,173,181,183,191,195,196,216,217,218,223,225,227,
442,444,445,448,451,455,459,536,538,544,546,549,551,553,556,565,570,576,1007,
1011,1012,1017,1019,1126,1137,1621],[1,3,4,5,6,7,8,21,25,26,27,30,31,32,33,34,
35,36,37,38,39,40,42,43,44,45,46,47,48,50,51,52,53,54,56,59,124,126,127,128,
149,150,152,155,156,160,161,162,163,164,165,166,167,168,169,171,172,173,174,
182,183,188,189,190,191,192,193,194,196,198,199,200,202,203,205,210,211,212,
215,216,219,222,223,226,228,235,442,445,446,447,448,452,455,457,458,514,517,
521,524,527,532,536,537,538,539,549,550,551,552,554,555,561,562,563,564,566,
567,572,574,575,605,612,613,1007,1008,1013,1016,1020,1104,1109,1124,1129,1138,
1141,1622],[1,3,5,6,7,8,21,22,26,27,29,30,32,33,34,35,43,44,45,48,50,51,54,58,
124,126,128,130,132,135,156,159,160,161,162,164,165,167,169,171,173,179,180,
182,185,192,196,216,221,223,230,442,445,448,454,456,466,467,476,536,538,547,
548,549,551,554,558,573,590,1007,1015,1018,1042,1049,1127,1140,1623],[1,3,5,6,
7,8,21,24,26,27,29,30,32,34,35,43,44,45,48,50,51,54,57,58,124,126,128,143,146,
148,156,160,161,162,164,167,169,171,173,179,184,185,195,196,216,220,223,227,
229,442,445,448,453,456,459,499,502,506,511,536,538,549,551,556,557,571,576,
642,1007,1014,1019,1090,1097,1128,1139,1624],[1,3,5,6,7,8,21,26,27,28,29,30,
32,34,35,42,45,49,50,51,52,55,56,58,124,125,126,128,157,159,162,164,170,171,
173,175,176,177,178,179,180,181,183,185,191,214,218,221,224,225,230,231,233,
234,443,445,449,450,451,455,456,540,542,547,553,558,568,569,570,573,577,580,
587,588,626,643,1009,1012,1018,1021,1024,1130,1136,1152,1625],[1,3,4,5,6,7,8,
21,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,45,48,49,50,51,52,54,
124,125,126,127,128,149,150,152,156,157,159,162,163,164,165,169,170,171,172,
173,175,176,177,178,179,180,182,188,189,190,192,195,196,200,204,205,206,214,
223,224,227,443,445,446,449,450,452,457,459,515,517,518,524,536,540,542,547,
554,556,561,568,569,574,576,585,586,589,590,609,1009,1013,1019,1025,1105,1110,
1127,1131,1154,1626],[1,3,5,6,7,8,21,24,26,27,28,29,30,32,34,35,42,45,46,47,
49,50,51,52,53,56,57,58,59,124,125,126,128,143,144,146,147,148,155,157,159,
162,164,166,168,170,171,173,174,175,176,177,178,179,180,183,184,185,191,193,
194,214,215,219,220,222,224,226,228,229,232,233,234,235,443,445,447,449,450,
453,455,456,458,498,502,503,507,508,511,512,532,540,542,547,555,557,564,568,
569,571,572,573,575,579,580,588,627,644,645,1009,1014,1016,1023,1024,1088,
1096,1100,1123,1132,1153,1627],[1,3,5,6,7,8,21,22,26,27,28,29,30,32,33,34,35,
42,44,45,49,50,51,52,54,124,125,126,128,130,132,135,157,158,159,162,164,165,
167,169,170,171,173,175,176,177,178,179,180,182,192,195,214,217,224,227,443,
445,448,449,450,454,465,467,476,540,542,543,544,547,554,556,565,568,569,586,
1009,1015,1017,1040,1048,1131,1134,1628],[1,3,4,5,6,7,8,21,25,26,27,29,30,31,
32,33,34,35,36,37,38,39,40,43,44,45,50,51,58,124,126,127,128,149,150,152,158,
159,160,161,162,163,164,165,167,171,172,173,179,180,182,185,188,189,190,192,
200,205,216,217,221,230,444,445,446,452,456,457,516,517,519,524,544,546,547,
549,554,558,561,573,574,608,1011,1013,1018,1106,1111,1134,1140,1629],[1,3,5,6,
7,8,21,24,26,27,29,30,32,34,35,43,44,45,50,51,54,57,58,124,126,128,143,146,
148,158,160,161,162,164,167,169,171,173,179,184,185,195,216,217,220,227,229,
444,445,448,453,456,500,502,505,511,544,546,549,556,557,565,571,628,1011,1014,
1017,1092,1098,1135,1139,1630],[1,3,5,6,7,8,21,22,26,27,30,32,33,34,35,42,43,
44,45,46,47,50,51,52,53,56,59,124,126,128,130,132,135,155,158,160,161,162,164,
165,166,167,168,171,173,174,182,183,191,192,193,194,215,216,217,219,222,226,
228,235,444,445,447,454,455,458,464,467,470,476,532,535,544,546,549,552,554,
555,564,567,572,575,1011,1015,1016,1038,1047,1122,1138,1631],[1,3,5,6,7,8,21,
26,27,30,32,34,35,45,50,51,55,56,57,58,124,126,128,162,164,171,173,181,183,
186,187,191,218,220,225,231,232,236,237,238,239,240,241,242,246,445,451,455,
553,559,570,591,592,593,594,595,629,630,631,646,647,648,649,1012,1026,1027,
1142,1143,1155,1156,1632],[1,3,5,6,7,8,21,26,27,30,32,34,35,45,46,50,51,55,56,
58,59,124,126,128,162,164,171,173,181,183,187,191,218,219,221,225,233,234,239,
240,241,243,244,245,247,445,451,455,553,560,570,593,594,596,632,633,634,650,
651,652,653,1012,1027,1144,1145,1157,1158,1633],[1,3,6,7,8,21,28,29,30,32,50,
51,55,56,57,58,125,126,175,176,179,181,185,186,187,225,229,231,232,236,237,
238,239,240,241,246,250,449,451,456,577,581,587,591,592,593,594,600,646,648,
658,659,1021,1026,1027,1159,1160,1175,1176,1634],[1,3,6,7,8,21,28,29,30,32,50,
53,55,56,58,125,126,175,176,179,181,185,187,226,230,231,233,239,240,241,244,
247,252,449,451,456,577,582,587,593,594,601,654,668,1021,1027,1161,1163,1177,
1635],[1,3,6,7,21,28,29,30,32,50,54,55,58,125,126,175,176,179,181,185,227,231,
251,449,451,456,577,583,587,603,1021,1162,1166,1636],[1,3,6,7,8,21,28,29,30,
32,50,53,55,56,58,125,126,175,176,179,181,185,187,228,230,231,234,239,240,241,
245,247,253,449,451,456,577,584,587,593,594,602,656,666,1021,1027,1164,1165,
1178,1637],[1,3,4,5,6,7,8,22,23,25,26,28,30,31,33,34,36,37,38,39,40,41,42,44,
45,46,48,49,50,52,54,129,130,131,132,135,136,138,139,141,149,150,151,152,154,
156,157,158,162,163,165,166,167,169,175,177,189,196,197,199,200,201,202,204,
205,206,213,214,217,223,224,460,461,462,463,465,467,469,471,480,482,484,485,
487,489,513,515,517,518,520,528,529,531,536,539,540,543,544,562,585,604,606,
609,1028,1030,1031,1036,1040,1058,1059,1064,1065,1103,1105,1638],[1,3,4,5,6,7,
8,22,23,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,42,43,44,45,46,47,50,51,
52,53,129,130,131,132,135,136,137,138,139,141,142,149,150,151,152,155,159,160,
161,162,163,165,166,167,168,170,171,174,175,178,179,180,189,193,198,199,200,
202,203,205,215,216,222,460,461,462,464,466,467,470,471,481,483,484,485,488,
490,491,493,514,516,517,519,521,532,535,547,548,549,550,552,562,568,605,1029,
1030,1032,1038,1042,1061,1062,1067,1068,1104,1106,1639],[1,3,4,5,6,7,8,22,23,
25,26,28,30,31,32,33,34,35,36,37,38,39,40,45,50,51,55,56,57,58,129,130,131,
132,133,134,135,136,138,139,141,149,150,151,152,162,163,164,165,175,181,183,
184,185,186,187,188,189,190,191,200,205,207,208,218,220,225,229,231,232,460,
461,462,467,468,471,472,474,475,477,479,484,485,494,496,517,522,523,553,557,
559,561,577,579,581,607,610,1030,1033,1034,1043,1045,1051,1053,1070,1107,
1640],[1,3,4,5,6,7,8,22,23,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,42,45,
46,47,50,51,52,53,54,129,130,131,132,135,136,137,138,139,141,142,149,150,151,
152,155,159,162,163,165,166,168,169,170,171,174,175,178,179,180,189,193,195,
200,205,209,211,212,215,222,227,460,461,462,467,469,471,481,484,485,488,491,
493,517,526,532,533,547,556,563,566,568,583,589,611,1030,1046,1048,1061,1073,
1108,1110,1641],[1,3,4,5,6,7,8,22,23,25,26,28,30,31,33,34,35,36,37,38,39,40,
44,45,46,48,50,53,54,56,58,59,129,130,131,132,135,136,138,139,141,149,150,151,
152,156,158,162,163,165,167,168,169,175,183,185,187,189,194,196,200,205,210,
211,212,217,219,221,223,226,228,230,233,234,460,461,462,467,470,471,482,484,
485,489,496,517,527,536,537,544,555,558,560,563,567,580,582,584,608,612,613,
1030,1047,1049,1064,1072,1109,1111,1642],[1,3,4,7,22,23,25,30,31,32,33,38,55,
57,129,132,133,138,139,150,181,184,186,188,207,236,237,238,248,249,461,472,
474,494,522,591,597,598,614,616,1033,1054,1076,1079,1112,1643],[1,3,4,7,22,23,
25,30,31,32,33,38,55,57,129,132,133,138,139,150,181,182,184,186,188,207,237,
461,472,474,494,495,522,592,1033,1077,1078,1644],[1,3,4,7,22,23,25,30,31,32,
33,38,55,57,58,129,132,133,138,139,150,181,182,184,186,188,207,240,461,472,
474,494,495,522,594,1033,1077,1081,1645],[1,3,4,7,8,22,23,25,30,31,32,33,35,
38,55,56,57,58,129,132,133,138,139,150,181,183,184,185,186,187,188,207,239,
240,241,242,246,248,250,461,472,474,494,496,522,593,595,598,599,600,615,617,
1033,1055,1079,1080,1113,1646],[1,3,4,7,8,22,23,25,30,31,33,35,38,56,58,59,
129,132,134,138,139,150,183,185,187,190,208,243,244,245,247,251,252,253,461,
475,477,496,523,596,601,602,603,618,619,620,621,1034,1056,1057,1083,1084,1114,
1115,1647],[1,3,4,5,6,7,8,22,25,26,30,31,32,33,34,35,36,37,38,39,40,41,42,44,
45,46,48,50,51,52,53,54,55,56,59,130,132,133,134,135,149,150,152,154,156,158,
162,163,164,165,166,167,168,169,181,183,188,189,190,191,194,196,197,199,200,
201,202,205,210,211,212,213,214,215,217,218,219,223,225,226,228,235,463,467,
468,469,470,472,475,479,513,517,520,527,528,529,530,531,536,537,538,539,544,
553,555,561,562,563,564,565,567,604,606,612,613,622,624,1036,1037,1043,1047,
1050,1103,1109,1116,1120,1126,1129,1648],[1,3,5,6,7,8,22,24,26,29,30,33,34,41,
42,45,46,48,50,52,54,130,132,135,143,146,148,154,156,159,162,165,166,169,179,
180,182,192,195,196,213,214,223,227,463,467,469,473,478,497,502,504,528,531,
536,539,547,554,556,566,590,1036,1044,1048,1086,1097,1117,1127,1649],[1,3,5,6,
7,8,22,26,30,33,34,41,42,45,46,48,50,52,54,57,58,130,132,135,154,156,162,165,
166,169,184,185,196,213,214,220,221,223,229,230,463,467,469,474,477,528,531,
536,539,557,558,623,625,642,1036,1045,1049,1118,1128,1650],[1,3,4,5,6,7,8,22,
25,26,27,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,50,51,52,53,54,55,
56,59,130,132,133,134,135,149,150,152,155,160,161,162,163,164,165,166,167,168,
169,171,173,174,181,183,188,189,190,191,193,194,195,198,199,200,202,203,205,
209,211,212,214,215,216,218,219,222,225,226,227,228,235,464,467,468,469,470,
472,475,479,514,517,521,526,532,533,534,535,549,550,551,552,553,556,561,562,
563,564,565,566,570,572,575,605,611,624,641,1038,1039,1043,1046,1050,1104,
1108,1121,1125,1137,1141,1651],[1,3,5,6,7,8,22,24,26,27,29,30,33,34,35,42,43,
44,45,46,47,48,50,51,52,53,54,58,130,132,135,143,146,148,155,156,160,161,162,
165,166,167,168,169,171,174,179,182,185,192,193,196,215,216,221,222,223,230,
464,467,470,473,478,499,502,506,511,532,535,536,539,549,552,554,558,566,573,
1038,1044,1049,1090,1095,1124,1140,1652],[1,3,5,6,7,8,22,26,27,29,30,33,34,35,
42,43,44,45,46,47,50,51,52,53,54,57,58,130,132,135,155,159,160,161,162,165,
166,167,168,169,171,174,179,180,184,185,193,195,215,216,220,222,227,229,464,
466,467,469,470,474,477,532,535,547,548,549,552,556,557,566,571,573,1038,1042,
1045,1046,1048,1123,1139,1653],[1,3,4,5,6,7,8,22,25,26,28,30,31,32,33,34,35,
36,37,38,39,40,42,44,45,48,49,50,51,52,54,55,56,58,130,132,133,134,135,149,
150,152,156,157,158,162,163,164,165,167,169,175,177,181,183,185,188,189,190,
191,196,200,204,205,206,214,217,218,221,223,224,225,230,231,233,234,465,467,
468,472,475,479,515,517,518,536,538,540,543,544,553,558,561,565,577,580,585,
608,609,626,643,1040,1043,1049,1105,1111,1126,1130,1654],[1,3,5,6,7,8,22,24,
26,27,28,29,30,33,34,35,42,44,45,46,47,49,50,51,52,53,54,130,132,135,143,144,
146,147,148,155,157,158,162,165,166,167,168,169,170,171,174,175,177,178,179,
182,192,193,195,214,215,217,222,224,227,465,467,469,473,478,498,502,503,507,
508,532,535,540,543,544,554,556,566,567,568,586,1040,1044,1046,1088,1098,1122,
1131,1655],[1,3,5,6,7,8,22,26,28,30,33,34,35,42,44,45,46,49,50,52,53,56,57,58,
59,130,132,135,157,158,162,165,167,168,175,177,183,184,185,194,214,217,219,
220,224,226,228,229,232,233,234,465,467,470,474,477,540,543,544,555,557,567,
579,580,627,628,644,645,1040,1045,1047,1132,1135,1656],[1,3,4,5,6,7,8,22,25,
26,29,30,31,32,33,34,35,36,37,38,39,40,43,44,45,50,51,54,55,56,130,132,133,
134,135,149,150,152,159,160,161,162,163,164,165,167,169,179,180,181,183,188,
189,190,191,195,200,205,216,218,225,227,466,467,468,472,475,479,516,517,519,
547,548,549,551,553,556,561,565,587,588,589,1042,1043,1048,1106,1110,1136,
1137,1657],[1,3,5,6,7,8,22,24,26,29,30,33,34,35,43,44,45,46,50,53,56,59,130,
132,135,143,146,148,158,159,160,161,162,165,167,168,179,180,182,183,192,194,
216,217,219,226,228,466,467,470,473,478,500,502,505,512,544,547,548,549,552,
554,555,567,588,1042,1044,1047,1092,1096,1134,1138,1658],[1,3,5,6,7,8,22,26,
30,33,34,45,50,55,56,57,58,130,132,135,162,165,184,185,186,187,218,220,229,
231,232,237,238,240,241,242,246,248,249,250,467,474,477,557,559,597,598,599,
600,630,631,637,639,658,659,660,661,1045,1054,1055,1147,1148,1659],[1,3,5,6,7,
8,22,26,30,33,34,45,46,50,56,57,58,59,130,132,135,162,165,184,185,187,219,220,
221,229,233,234,242,244,245,246,247,250,251,252,253,467,474,477,557,560,599,
601,602,603,635,636,638,640,662,663,664,665,1045,1056,1057,1149,1150,1660],[1,
3,4,6,7,8,22,25,28,30,31,32,33,38,50,53,55,56,58,131,132,133,150,151,175,181,
185,187,188,208,226,230,231,233,239,240,241,244,247,251,252,471,472,477,523,
577,582,593,601,603,618,621,654,668,1051,1056,1114,1161,1166,1661],[1,3,4,6,7,
22,25,28,30,31,32,33,38,50,54,55,58,131,132,133,150,151,175,181,185,188,208,
227,231,240,471,472,477,523,577,583,594,1051,1162,1163,1662],[1,3,4,6,7,8,22,
25,28,30,31,32,33,38,50,53,55,56,58,131,132,133,150,151,175,181,185,187,188,
208,228,230,231,234,239,240,241,245,247,251,253,471,472,477,523,577,584,593,
602,603,619,620,656,666,1051,1057,1115,1164,1166,1663],[1,3,4,6,7,22,25,28,30,
31,32,33,38,50,54,55,58,131,132,133,150,151,175,181,185,188,208,227,231,240,
471,472,477,523,577,583,594,1051,1162,1165,1664],[1,3,4,6,7,8,22,25,28,30,31,
33,35,38,50,51,55,56,57,58,131,132,134,150,151,175,183,184,186,187,190,207,
225,229,231,232,237,238,239,241,242,246,248,249,250,471,474,475,522,579,581,
595,597,598,599,614,615,616,617,648,649,659,661,1053,1054,1055,1112,1113,1169,
1170,1665],[1,3,5,6,7,8,23,26,28,30,32,34,35,41,42,45,46,49,50,51,52,53,55,56,
57,58,59,136,138,141,154,157,162,164,166,168,175,177,181,183,184,185,186,187,
191,194,213,214,215,218,219,220,221,224,225,226,228,229,230,231,232,233,234,
235,480,484,487,494,496,528,530,540,553,555,557,558,559,560,564,577,579,580,
581,582,584,622,623,624,625,626,627,643,644,645,1058,1070,1072,1116,1118,1119,
1130,1132,1133,1666],[1,3,5,6,7,8,23,26,28,30,33,34,41,42,45,46,49,50,52,54,
136,138,141,154,157,162,165,166,169,175,177,182,192,195,213,214,224,227,480,
484,487,495,528,531,540,554,556,566,578,583,586,1058,1071,1073,1117,1131,
1667],[1,3,5,6,7,8,23,26,27,28,29,30,32,34,35,42,45,46,47,50,51,52,53,55,56,
57,58,59,136,137,138,141,142,155,159,162,164,166,168,170,171,173,174,175,178,
179,180,181,183,184,185,186,187,191,193,194,214,215,218,219,220,222,225,226,
228,229,231,232,235,481,484,488,491,493,494,496,532,534,547,553,557,559,564,
568,570,571,572,573,575,577,579,581,587,588,624,641,1061,1070,1074,1075,1121,
1123,1136,1152,1153,1668],[1,3,5,6,7,8,23,26,27,28,29,30,33,34,35,42,44,45,46,
47,48,50,51,52,53,54,136,137,138,141,142,155,156,158,159,162,165,166,167,168,
169,170,171,174,175,178,179,180,182,192,193,196,215,217,222,223,481,482,484,
488,489,491,493,495,532,535,536,539,544,547,554,566,567,568,578,590,1061,1064,
1071,1122,1124,1127,1134,1669],[1,3,5,6,7,8,23,26,28,30,32,34,35,44,45,48,50,
51,54,55,56,57,58,136,138,141,156,158,162,164,167,169,175,181,183,184,185,186,
187,191,196,217,218,220,223,225,229,231,232,482,484,489,494,496,536,538,544,
553,557,559,565,577,579,581,628,642,1064,1070,1126,1128,1135,1670],[1,3,5,6,7,
8,23,26,28,30,32,34,35,43,44,45,50,51,54,55,56,57,58,136,138,141,160,161,162,
164,167,169,175,181,183,184,185,186,187,191,195,216,218,220,225,227,229,231,
232,483,484,490,494,496,549,551,553,556,557,559,565,577,579,581,583,1067,1070,
1073,1137,1139,1671],[1,3,5,6,7,8,23,26,28,30,33,34,35,43,44,45,46,50,53,56,
58,59,136,138,141,160,161,162,165,167,168,175,182,183,185,187,192,194,216,219,
221,226,228,230,233,234,483,484,490,495,496,549,552,554,555,558,560,567,578,
580,582,584,1067,1071,1072,1138,1140,1672],[1,3,5,6,7,8,23,26,28,30,32,34,35,
45,50,51,55,56,57,58,136,138,141,162,164,175,181,183,184,185,186,187,191,218,
220,225,229,231,232,236,237,238,239,240,241,242,246,249,250,484,494,496,553,
557,559,577,579,581,591,593,595,597,599,600,629,630,631,639,646,648,649,658,
659,661,1070,1076,1080,1142,1147,1159,1169,1673],[1,3,5,6,7,8,23,26,28,30,32,
33,34,35,45,50,51,55,56,57,58,136,138,141,162,164,165,175,181,182,183,184,185,
186,187,191,192,218,220,225,229,231,232,484,494,495,496,553,554,557,559,577,
578,579,581,1070,1071,1077,1082,1674],[1,3,5,6,7,8,23,26,28,30,32,34,35,45,50,
51,55,56,57,58,136,138,141,162,164,175,181,183,184,185,186,187,191,218,220,
225,229,231,232,237,240,246,484,494,496,553,557,559,577,579,581,592,594,630,
647,1070,1078,1081,1143,1160,1675],[1,3,5,6,7,8,23,26,28,30,32,34,35,45,50,51,
55,56,57,58,136,138,141,162,164,175,181,183,184,185,186,187,191,218,220,225,
229,231,232,248,484,494,496,553,557,559,577,579,581,598,637,660,1070,1079,
1148,1170,1676],[1,3,5,6,7,8,23,26,28,30,32,34,35,45,46,50,51,53,55,56,57,58,
59,136,138,141,162,164,168,175,181,183,184,185,186,187,191,194,218,219,220,
221,225,226,228,229,230,231,232,233,234,239,240,241,242,243,244,245,246,247,
250,252,253,484,494,496,553,555,557,558,559,560,577,579,580,581,582,584,593,
595,596,599,600,601,602,632,633,634,635,636,640,650,652,653,654,655,656,657,
662,663,664,666,667,668,669,1070,1072,1080,1083,1144,1146,1149,1151,1161,1164,
1171,1173,1174,1677],[1,3,5,6,7,8,23,26,28,30,32,34,35,45,50,51,54,55,56,57,
58,136,138,141,162,164,169,175,181,183,184,185,186,187,191,195,218,220,225,
227,229,231,232,484,494,496,553,556,557,559,577,579,581,583,1070,1073,1162,
1172,1678],[1,3,5,6,7,8,23,26,28,30,32,34,35,45,50,51,55,56,57,58,136,138,141,
162,164,175,181,183,184,185,186,187,191,218,220,221,225,229,231,232,240,247,
484,494,496,553,557,559,577,579,581,594,633,651,1070,1081,1145,1163,1165,
1679],[1,3,5,6,7,8,23,26,28,30,32,34,35,45,50,51,55,56,57,58,136,138,141,162,
164,175,181,183,184,185,186,187,191,218,220,225,229,231,232,251,484,494,496,
553,557,559,577,579,581,603,638,665,1070,1084,1150,1166,1680],[1,3,5,6,7,8,23,
26,28,30,33,34,35,45,46,50,53,54,56,58,59,136,138,141,162,165,168,169,175,182,
183,185,187,192,194,195,219,221,226,227,228,230,233,234,484,495,496,554,555,
556,558,560,578,580,582,583,584,1071,1072,1073,1167,1168,1681],[1,3,6,7,8,23,
27,29,30,32,34,35,50,51,55,56,57,58,137,138,142,171,173,179,181,184,186,191,
225,231,236,237,238,240,241,249,491,494,570,571,587,591,594,597,646,647,1074,
1076,1081,1155,1175,1682],[1,3,6,7,8,23,27,29,30,32,33,34,35,50,51,55,56,57,
137,138,142,171,173,179,181,182,184,186,191,225,248,491,494,495,570,571,587,
598,1074,1077,1079,1683],[1,3,6,7,8,23,27,29,30,32,34,35,50,51,55,56,57,58,
137,138,142,171,173,179,181,183,184,185,186,187,191,225,232,237,239,240,241,
242,246,250,491,494,496,570,571,587,592,593,595,599,600,647,649,1074,1078,
1080,1156,1176,1684],[1,3,6,7,8,23,27,29,30,32,34,35,50,51,55,56,57,58,137,
138,142,171,173,179,181,183,184,185,186,187,191,225,233,234,239,240,241,242,
244,245,246,250,491,494,496,570,571,587,593,594,595,599,600,650,651,653,1074,
1080,1081,1157,1158,1177,1178,1685],[1,3,6,7,8,23,27,29,30,33,34,35,51,52,53,
56,58,59,137,138,142,171,174,179,182,183,185,187,194,235,251,491,495,496,572,
573,588,603,1075,1082,1084,1686],[1,3,4,5,6,7,8,24,25,26,29,30,31,33,34,36,37,
38,39,40,41,42,44,45,46,50,52,54,143,146,148,149,150,152,154,158,159,162,163,
165,166,167,169,179,180,182,189,192,195,197,199,200,201,202,205,213,214,217,
227,497,502,504,509,513,517,520,525,528,529,531,544,547,554,556,562,566,589,
604,606,1086,1093,1098,1103,1110,1117,1134,1687],[1,3,5,6,7,8,24,26,29,30,32,
34,35,41,42,45,46,50,51,52,53,55,56,59,143,146,148,154,159,162,164,166,168,
179,180,181,183,191,194,213,214,215,218,219,225,226,228,235,497,502,504,510,
512,528,530,547,553,555,564,587,588,622,624,1086,1094,1096,1116,1136,1688],[1,
3,4,5,6,7,8,24,25,26,27,28,29,30,31,33,34,35,36,37,38,39,40,42,45,46,47,48,49,
50,51,52,53,54,143,144,146,147,148,149,150,152,155,156,157,162,163,165,166,
168,169,170,171,174,175,177,178,179,182,189,192,193,195,196,200,204,205,206,
209,211,212,214,215,222,223,224,227,498,502,503,507,508,509,515,517,518,525,
526,532,533,536,539,540,554,556,563,566,568,585,586,609,611,1088,1093,1097,
1105,1108,1124,1131,1689],[1,3,5,6,7,8,24,26,27,28,29,30,32,34,35,42,45,46,47,
49,50,51,52,53,55,56,58,59,143,144,146,147,148,155,157,162,164,166,168,170,
171,173,174,175,177,178,179,181,183,185,191,193,194,214,215,218,219,221,222,
224,225,226,228,230,231,233,234,235,498,502,503,507,508,510,511,512,532,534,
540,553,558,564,568,570,572,573,575,577,580,587,624,626,641,643,1088,1094,
1095,1099,1100,1121,1130,1152,1690],[1,3,4,5,6,7,8,24,25,26,29,30,31,33,34,35,
36,37,38,39,40,43,44,45,46,48,50,53,54,56,59,143,146,148,149,150,152,156,159,
160,161,162,163,165,167,168,169,179,180,182,183,189,192,194,196,200,205,210,
211,212,216,219,223,226,228,499,502,506,509,512,516,517,519,525,527,536,537,
547,549,552,554,555,563,567,588,590,612,613,1090,1093,1096,1106,1109,1127,
1138,1691],[1,3,5,6,7,8,24,26,29,30,32,34,35,43,44,45,48,50,51,54,55,56,143,
146,148,156,158,160,161,162,164,167,169,179,181,183,191,195,196,216,217,218,
223,225,227,499,500,502,505,506,510,512,536,538,544,549,551,553,556,565,587,
1090,1092,1094,1097,1098,1126,1137,1692],[1,3,4,5,6,7,8,24,25,26,27,29,30,31,
33,34,35,36,37,38,39,40,42,43,44,45,46,47,50,51,52,53,58,143,146,148,149,150,
152,155,158,160,161,162,163,165,166,167,168,171,174,179,182,185,189,192,193,
198,199,200,202,203,205,215,216,217,221,222,230,500,502,505,509,511,514,517,
521,525,532,535,544,549,550,554,558,562,567,573,605,608,1092,1093,1095,1104,
1111,1122,1140,1693],[1,3,5,6,7,8,24,26,29,30,32,34,35,45,50,51,55,56,57,58,
143,146,148,162,164,179,181,183,186,187,191,218,220,225,231,232,236,237,238,
239,240,241,242,246,502,510,512,553,559,587,591,592,593,594,595,629,630,631,
646,647,648,649,1094,1101,1102,1142,1143,1175,1176,1694],[1,3,5,6,7,8,24,26,
29,30,32,34,35,45,46,50,51,55,56,58,59,143,146,148,162,164,179,181,183,187,
191,218,219,221,225,233,234,239,240,241,243,244,245,247,502,510,512,553,560,
587,593,594,596,632,633,634,650,651,652,653,1094,1102,1144,1145,1177,1178,
1695],[1,3,6,7,8,24,27,28,30,32,34,35,50,51,55,56,57,58,144,146,147,171,173,
175,181,185,186,187,191,225,229,231,232,236,237,238,239,240,241,242,246,250,
507,510,511,570,577,581,591,592,593,594,600,646,647,648,649,658,659,1099,1101,
1102,1155,1156,1159,1160,1696],[1,3,6,7,8,24,27,28,30,32,34,35,50,51,53,55,56,
58,144,146,147,171,173,175,181,185,187,191,225,226,230,231,233,239,240,241,
244,245,247,252,507,510,511,570,577,582,593,594,601,650,651,654,668,1099,1102,
1157,1161,1165,1697],[1,3,6,7,8,24,27,28,30,32,34,35,50,51,54,55,56,58,144,
146,147,171,173,175,181,185,191,225,227,231,251,507,510,511,570,577,583,603,
1099,1162,1166,1698],[1,3,6,7,8,24,27,28,30,32,34,35,50,51,53,55,56,58,144,
146,147,171,173,175,181,185,187,191,225,228,230,231,234,239,240,241,244,245,
247,253,507,510,511,570,577,584,593,594,602,651,653,656,666,1099,1102,1158,
1163,1164,1699],[1,3,4,5,6,7,8,25,26,30,31,34,36,37,38,39,40,41,42,44,45,46,
50,52,57,58,149,150,152,154,158,162,163,166,167,184,185,189,197,199,200,201,
202,205,207,208,213,214,217,220,221,229,230,513,517,520,522,523,528,529,544,
557,558,562,604,606,607,608,610,623,625,628,1103,1107,1111,1118,1135,1179,
1180,1700],[1,3,4,5,6,7,8,25,26,27,29,30,31,34,35,36,37,38,39,40,42,43,44,45,
46,47,50,51,52,53,54,57,58,149,150,152,155,159,160,161,162,163,166,167,168,
169,171,174,179,180,184,185,189,193,195,198,199,200,202,203,205,207,208,209,
211,212,215,216,220,222,227,229,514,516,517,519,521,522,523,526,532,533,547,
549,550,556,557,562,563,571,573,589,605,607,610,611,1104,1106,1107,1108,1110,
1123,1139,1701],[1,3,4,5,6,7,8,25,26,28,30,31,34,35,36,37,38,39,40,42,45,46,
48,49,50,52,53,54,56,57,58,59,149,150,152,156,157,162,163,168,169,175,177,183,
184,185,189,194,196,200,204,205,206,207,208,210,211,212,214,219,220,223,224,
226,228,229,232,233,234,515,517,518,522,523,527,536,537,540,555,557,563,579,
580,585,607,609,610,612,613,627,642,644,645,1105,1107,1109,1128,1132,1185,
1186,1702],[1,3,4,5,6,7,8,25,26,30,31,34,36,37,38,39,40,45,50,55,56,57,58,149,
150,152,162,163,184,185,186,187,189,200,205,207,208,218,220,229,231,232,237,
238,240,241,242,246,248,249,250,517,522,523,557,559,597,598,599,600,607,610,
614,615,616,617,630,631,637,639,658,659,660,661,1107,1112,1113,1147,1148,1181,
1183,1187,1188,1703],[1,3,4,5,6,7,8,25,26,30,31,34,36,37,38,39,40,45,46,50,56,
57,58,59,149,150,152,162,163,184,185,187,189,200,205,207,208,219,220,221,229,
233,234,242,244,245,246,247,250,251,252,253,517,522,523,557,560,599,601,602,
603,607,610,618,619,620,621,635,636,638,640,662,663,664,665,1107,1114,1115,
1149,1150,1182,1184,1189,1190,1704],[1,3,5,6,7,8,26,30,32,34,35,41,42,45,46,
50,51,52,53,55,56,57,58,59,154,162,164,166,168,181,183,186,187,191,194,213,
214,215,218,219,220,221,225,226,228,231,232,233,234,235,236,237,238,239,240,
241,242,243,244,245,246,247,528,530,553,555,559,560,564,591,593,595,596,622,
623,624,626,627,629,630,631,632,633,634,635,636,646,648,649,650,652,653,654,
655,656,657,1116,1119,1142,1144,1146,1191,1192,1193,1196,1198,1199,1705],[1,3,
5,6,7,8,26,30,32,34,35,41,42,45,46,50,51,52,53,55,56,57,58,59,154,162,164,166,
168,181,183,191,194,213,214,215,218,219,220,221,225,226,228,235,237,240,246,
247,528,530,553,555,564,592,594,622,623,624,630,633,636,647,651,1116,1143,
1145,1192,1197,1706],[1,3,5,6,7,8,26,30,34,41,42,45,46,50,52,55,56,57,58,59,
154,162,166,184,185,186,187,213,214,218,219,220,221,229,230,231,232,233,234,
237,238,240,241,242,244,245,246,247,249,250,252,253,528,557,558,559,560,597,
599,600,601,602,622,623,625,626,627,630,631,633,634,635,636,639,640,658,659,
661,662,663,664,666,667,668,669,1118,1119,1147,1149,1151,1192,1193,1195,1200,
1201,1203,1707],[1,3,5,6,7,8,26,30,34,41,42,45,46,50,52,57,58,154,162,166,184,
185,213,214,220,221,229,230,248,251,528,557,558,598,603,623,625,637,638,660,
665,1118,1148,1150,1194,1202,1708],[1,3,5,6,7,8,26,27,30,32,34,35,42,45,46,47,
50,51,52,53,55,56,57,58,59,155,162,164,166,168,171,173,174,181,183,186,187,
191,193,194,214,215,218,219,220,221,222,225,226,228,231,232,233,234,235,236,
237,238,239,240,241,242,244,245,246,247,532,534,553,559,564,570,572,575,591,
593,594,595,624,626,629,630,631,633,634,641,646,647,648,649,650,651,653,654,
656,1121,1142,1145,1155,1157,1158,1196,1197,1208,1209,1709],[1,3,5,6,7,8,26,
27,30,32,34,35,42,45,46,47,50,51,52,53,55,56,57,58,59,155,162,164,166,168,171,
173,174,181,183,187,191,193,194,214,215,218,219,220,221,222,225,226,228,232,
233,234,235,237,239,240,241,242,243,244,245,246,247,532,534,553,560,564,570,
572,575,592,593,594,596,624,627,630,632,633,634,635,641,647,649,650,651,652,
653,655,657,1121,1143,1144,1156,1157,1158,1197,1199,1209,1710],[1,3,5,6,7,8,
26,30,34,45,48,50,54,55,56,57,58,156,162,169,184,185,186,187,196,218,220,223,
229,231,232,237,238,240,241,242,246,249,250,251,536,557,559,597,599,600,603,
630,631,638,639,642,658,659,661,665,1128,1147,1150,1210,1212,1711],[1,3,5,6,7,
8,26,30,34,45,46,48,50,54,56,57,58,59,156,162,169,184,185,187,196,219,220,221,
223,229,233,234,242,244,245,246,247,248,250,252,253,536,557,560,598,599,601,
602,635,636,637,640,642,660,662,663,664,1128,1148,1149,1211,1213,1712],[1,3,5,
6,7,8,26,28,30,32,34,35,42,45,46,49,50,51,52,53,55,56,57,58,59,157,162,164,
175,177,181,183,185,186,187,191,214,215,218,219,220,221,224,225,226,228,229,
230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,250,
252,253,540,553,558,559,560,577,580,581,582,584,591,593,595,596,600,601,602,
624,625,626,627,629,630,631,632,633,634,636,640,643,644,645,646,648,649,650,
652,653,654,655,656,657,658,659,662,663,664,666,667,668,669,1130,1133,1142,
1144,1151,1159,1161,1164,1173,1174,1196,1198,1200,1201,1214,1215,1216,1217,
1713],[1,3,5,6,7,8,26,28,30,32,34,35,42,45,49,50,51,52,55,56,57,58,157,162,
164,175,177,181,183,185,191,214,218,220,221,224,225,230,231,233,234,237,240,
246,247,540,553,558,577,580,592,594,626,630,633,643,647,651,1130,1143,1145,
1160,1163,1165,1714],[1,3,5,6,7,8,26,28,30,34,35,42,45,46,49,50,51,52,53,55,
56,57,58,59,157,162,168,175,177,183,184,185,186,187,194,214,215,218,219,220,
221,224,225,226,228,229,230,231,232,233,234,235,237,238,239,240,241,242,243,
244,245,246,247,249,250,252,253,540,555,557,559,560,579,580,581,582,584,595,
596,597,599,600,601,602,624,625,626,627,630,631,632,634,635,636,639,640,643,
644,645,648,649,650,652,653,654,655,656,657,658,659,661,662,663,664,666,667,
668,669,1132,1133,1146,1147,1149,1169,1171,1173,1174,1198,1199,1201,1203,1215,
1216,1217,1218,1221,1715],[1,3,5,6,7,8,26,28,30,34,35,42,45,46,49,50,52,53,56,
57,58,59,157,162,168,175,177,183,184,185,194,214,219,220,224,226,228,229,232,
233,234,248,251,540,555,557,579,580,598,603,627,637,638,644,645,660,665,1132,
1148,1150,1219,1220,1716],[1,3,5,6,7,8,26,30,34,44,45,50,55,56,57,58,158,162,
167,184,185,186,187,217,218,220,229,231,232,237,238,240,241,242,246,249,250,
251,544,557,559,597,599,600,603,628,630,631,638,639,658,659,661,665,1135,1147,
1150,1204,1207,1717],[1,3,5,6,7,8,26,30,34,44,45,46,50,56,57,58,59,158,162,
167,184,185,187,217,219,220,221,229,233,234,242,244,245,246,247,248,250,252,
253,544,557,560,598,599,601,602,628,635,636,637,640,660,662,663,664,1135,1148,
1149,1205,1206,1718],[1,3,5,6,7,8,26,29,30,32,34,35,45,50,51,55,56,57,58,159,
162,164,179,180,181,183,186,187,191,218,220,221,225,231,232,236,237,238,239,
240,241,242,246,247,547,553,559,587,588,591,593,594,595,629,630,631,633,646,
648,649,651,1136,1142,1145,1175,1177,1178,1719],[1,3,5,6,7,8,26,29,30,32,34,
35,45,46,50,51,55,56,57,58,59,159,162,164,179,180,181,183,187,191,218,219,220,
221,225,233,234,237,239,240,241,243,244,245,246,247,547,553,560,587,588,592,
593,594,596,630,632,633,634,647,650,652,653,1136,1143,1144,1176,1177,1178,
1720],[1,3,6,7,8,27,28,29,30,32,34,35,50,51,55,56,57,58,170,171,173,175,178,
179,181,185,186,187,191,225,229,231,232,234,236,237,238,239,240,241,244,246,
250,568,570,573,577,581,587,591,593,594,600,646,647,648,651,653,658,659,1152,
1155,1158,1159,1165,1175,1177,1721],[1,3,6,7,8,27,28,29,30,32,34,35,50,51,53,
55,56,57,58,170,171,173,175,178,179,181,185,187,191,225,228,230,231,232,233,
234,237,239,240,241,242,245,247,253,568,570,573,577,584,587,592,593,594,602,
647,649,650,651,656,666,1152,1156,1157,1160,1164,1176,1177,1722],[1,3,6,7,8,
27,28,29,30,32,34,35,50,51,55,56,57,58,170,171,173,175,178,179,181,185,186,
187,191,225,229,231,232,233,236,237,238,239,240,241,245,246,250,568,570,573,
577,581,587,591,593,594,600,646,647,648,650,651,658,659,1152,1155,1157,1159,
1163,1175,1178,1723],[1,3,6,7,8,27,28,29,30,32,34,35,50,51,53,55,56,57,58,170,
171,173,175,178,179,181,185,187,191,225,226,230,231,232,233,234,237,239,240,
241,242,244,247,252,568,570,573,577,582,587,592,593,594,601,647,649,651,653,
654,668,1152,1156,1158,1160,1161,1176,1178,1724],[1,3,6,7,8,27,28,29,30,34,35,
50,51,52,53,54,56,57,59,170,171,174,175,178,179,183,184,194,227,232,235,248,
568,571,572,579,583,588,598,1153,1170,1172,1725],[1,4,5,7,8,36,38,40,41,44,45,
46,55,56,57,58,59,197,200,202,207,208,213,217,218,219,220,221,238,241,242,244,
245,248,251,604,607,608,614,615,618,619,622,623,628,631,634,635,637,638,1179,
1181,1182,1193,1194,1204,1206,1726],[1,4,5,7,8,36,38,40,41,44,45,46,57,58,197,
200,202,207,208,213,217,220,221,248,249,250,251,252,253,604,607,608,616,617,
620,621,623,628,637,638,639,640,1179,1183,1184,1194,1195,1205,1207,1727],[1,4,
5,6,7,8,36,38,40,42,44,45,50,52,55,56,57,58,199,200,201,207,208,214,217,218,
220,221,229,230,231,233,234,238,240,241,242,247,248,250,251,252,253,606,607,
608,614,615,620,621,625,626,628,631,633,637,638,640,658,662,666,668,1180,1181,
1184,1200,1202,1204,1205,1728],[1,4,5,6,7,8,36,38,40,42,44,45,46,50,52,56,57,
58,59,199,200,201,207,208,214,217,219,220,221,229,230,232,233,234,242,244,245,
246,247,248,249,250,251,606,607,608,616,617,618,619,625,627,628,635,636,637,
638,639,661,662,667,669,1180,1182,1183,1202,1203,1206,1207,1729],[1,4,6,7,8,
37,38,39,48,49,50,51,53,54,55,56,57,58,204,205,206,207,208,210,211,223,224,
225,228,229,230,231,232,233,234,238,239,240,241,245,246,247,248,250,251,252,
609,610,612,614,617,619,621,642,643,645,648,650,656,658,660,663,665,667,668,
1185,1187,1190,1210,1213,1215,1220,1730],[1,4,6,7,8,37,38,39,48,49,50,53,54,
56,57,58,59,204,205,206,207,208,210,211,223,224,228,229,232,233,242,243,244,
246,248,249,251,253,609,610,612,615,616,618,620,642,645,657,660,661,664,665,
1185,1188,1189,1211,1212,1220,1221,1731],[1,4,6,7,8,37,38,39,48,49,50,51,53,
54,55,56,57,58,204,205,206,207,208,210,212,223,224,225,226,229,230,231,232,
233,234,238,239,240,241,244,246,247,248,250,251,253,609,610,613,614,617,618,
620,642,643,644,648,653,654,658,660,664,665,666,669,1186,1187,1189,1210,1211,
1217,1219,1732],[1,4,6,7,8,37,38,39,48,49,50,53,54,56,57,58,59,204,205,206,
207,208,210,212,223,224,226,229,232,234,242,243,245,246,248,249,251,252,609,
610,613,615,616,619,621,642,644,655,660,661,663,665,1186,1188,1190,1212,1213,
1218,1219,1733],[1,2,3,5,6,9,13,14,16,17,26,61,62,63,64,65,66,67,69,83,94,255,
264,265,266,267,269,271,278,281,288,670,671,677,681,685,717,723,1222,1223,
1224,1230,1243,1734],[1,2,3,4,9,13,14,15,23,61,62,63,64,67,68,81,85,92,255,
264,265,268,274,279,282,670,671,677,679,683,719,1222,1225,1229,1232,1244,
1735],[1,2,3,4,6,9,13,14,15,17,18,28,61,62,63,64,66,67,68,69,84,85,96,255,264,
265,267,268,269,270,275,279,280,283,292,670,671,677,682,683,685,721,724,1222,
1224,1226,1231,1232,1233,1245,1736],[1,2,5,9,13,16,41,43,61,62,65,83,114,255,
266,271,284,286,339,349,670,681,725,733,1223,1259,1268,1737],[1,2,5,6,9,13,16,
42,43,61,62,65,66,69,83,115,255,266,271,285,286,287,290,670,681,685,726,728,
1223,1261,1265,1738],[1,2,3,4,5,6,9,13,15,16,18,26,36,61,62,64,65,66,68,81,83,
84,85,104,255,266,268,270,271,274,275,281,289,333,343,670,679,681,682,683,727,
736,1223,1225,1226,1249,1263,1739],[1,2,5,6,9,13,16,42,44,61,62,65,66,83,84,
116,255,266,271,285,291,340,346,670,681,682,729,737,1223,1260,1266,1740],[1,2,
4,5,7,8,9,13,16,19,20,36,45,61,62,65,77,82,83,86,87,88,89,117,255,266,271,272,
273,276,277,328,336,344,345,670,680,681,684,686,734,738,1223,1227,1228,1255,
1264,1741],[1,2,5,8,9,13,16,44,46,61,62,65,83,88,89,118,255,266,271,341,342,
347,348,670,681,686,735,739,1223,1262,1267,1742],[1,2,3,4,6,9,13,14,15,17,18,
28,61,62,63,64,66,68,69,81,85,96,255,265,267,268,269,270,274,280,283,670,671,
679,683,685,724,1224,1225,1229,1233,1253,1743],[1,2,3,4,7,9,13,15,19,25,32,38,
61,62,64,68,77,81,82,85,86,87,108,255,268,272,274,276,327,330,334,337,670,679,
680,683,684,740,1225,1227,1248,1251,1257,1744],[1,2,3,4,9,13,15,24,33,61,62,
64,68,81,85,109,255,268,274,670,679,683,1225,1247,1252,1745],[1,2,3,4,8,9,13,
15,20,25,35,40,61,62,64,68,77,81,82,85,88,89,112,255,268,273,274,277,327,331,
335,338,670,679,680,683,686,742,1225,1228,1248,1254,1258,1746],[1,2,3,4,9,13,
15,29,33,61,62,64,68,81,85,113,255,268,274,670,679,683,1225,1250,1252,1747],[
1,2,4,6,7,8,9,13,18,19,20,37,38,40,51,61,62,66,68,77,82,84,85,86,87,88,89,122,
255,270,272,273,275,276,277,329,330,331,337,338,350,351,670,680,682,683,684,
686,741,743,1226,1227,1228,1256,1257,1258,1269,1748],[1,2,3,4,9,13,14,24,25,
61,63,64,77,81,82,93,255,265,327,671,679,680,1229,1247,1248,1749],[1,2,3,5,6,
9,13,14,16,17,26,61,63,64,65,66,81,83,84,94,255,265,266,267,278,281,333,671,
679,681,682,723,1229,1230,1231,1249,1750],[1,2,3,4,9,13,14,25,29,61,63,64,77,
81,82,97,255,265,327,671,679,680,1229,1248,1250,1751],[1,2,3,7,9,13,14,32,33,
61,63,64,81,86,87,99,255,265,334,671,679,684,1229,1251,1252,1752],[1,2,3,8,9,
13,14,33,35,61,63,64,81,88,89,101,255,265,335,671,679,686,1229,1252,1254,
1753],[1,2,5,9,13,16,41,43,61,63,65,83,114,255,266,278,284,286,287,339,671,
681,725,744,1230,1259,1261,1754],[1,2,5,6,9,13,16,42,43,61,63,65,66,83,84,115,
255,266,278,285,286,287,340,671,681,682,726,745,1230,1260,1261,1755],[1,2,3,4,
5,6,9,13,15,16,18,26,36,61,63,64,65,66,67,68,69,83,85,104,255,266,268,270,278,
279,280,281,288,289,343,671,677,681,683,685,727,746,1230,1232,1233,1243,1263,
1756],[1,2,5,6,9,13,16,42,43,61,63,65,66,69,83,115,255,266,278,285,286,290,
349,671,681,685,728,745,1230,1265,1268,1757],[1,2,5,6,9,13,16,42,44,61,63,65,
66,69,83,116,255,266,278,285,290,291,346,671,681,685,729,747,1230,1265,1266,
1758],[1,2,6,8,9,13,17,53,54,61,63,66,84,88,89,121,255,267,352,671,682,686,
1231,1271,1272,1759],[1,2,3,4,9,13,15,21,25,61,63,67,68,102,255,279,294,295,
303,306,671,731,748,1275,1760],[1,2,3,4,9,10,11,14,15,23,61,63,64,67,68,70,71,
72,73,75,76,92,254,264,265,268,279,282,309,311,312,321,672,673,674,675,676,
719,800,1234,1235,1236,1237,1238,1761],[1,2,3,4,9,10,11,15,21,25,63,67,68,70,
71,72,73,75,76,102,254,279,294,295,304,307,312,314,321,322,672,675,676,748,
790,799,1235,1239,1240,1762],[1,2,3,4,9,10,11,15,22,24,63,67,68,70,71,72,73,
75,76,103,254,279,298,299,310,312,313,321,672,675,676,751,805,1235,1241,1242,
1763],[1,3,9,10,11,21,23,24,64,67,70,71,123,254,282,294,298,304,307,311,313,
673,675,757,789,1236,1239,1241,1764],[1,3,4,9,10,11,22,23,25,64,67,68,70,71,
73,76,129,254,282,295,299,310,311,314,322,673,675,676,758,804,1236,1240,1242,
1765],[1,2,3,9,10,11,14,21,22,61,67,70,71,72,91,254,264,294,299,304,307,309,
310,674,675,715,788,1238,1239,1242,1766],[1,2,3,4,9,10,11,14,24,25,61,67,68,
70,71,72,73,76,93,254,264,295,298,309,313,314,322,674,675,676,720,801,1238,
1240,1241,1767],[1,3,5,6,9,10,11,26,41,42,64,65,66,70,154,254,281,284,285,353,
354,673,752,834,1273,1768],[1,3,5,6,9,13,26,41,42,64,65,66,67,69,83,154,255,
281,284,285,288,290,339,677,681,685,752,760,1243,1259,1265,1769],[1,3,5,6,9,
11,12,26,41,42,64,65,66,71,154,256,281,284,285,354,355,678,752,835,1274,
1770],[1,3,5,6,9,13,26,43,64,65,66,67,69,83,160,255,281,286,287,288,349,677,
681,685,753,764,1243,1261,1268,1771],[1,3,5,6,9,13,23,26,28,64,65,66,67,69,81,
83,84,136,255,281,282,283,288,292,333,677,679,681,682,685,754,1243,1244,1245,
1249,1253,1772],[1,3,5,6,9,13,26,28,42,49,64,65,66,67,69,83,84,157,255,281,
283,285,288,290,292,293,340,677,681,682,685,755,762,1243,1245,1260,1265,1270,
1773],[1,3,5,6,9,13,26,43,44,64,65,66,67,69,83,161,255,281,286,287,288,291,
346,677,681,685,756,765,1243,1261,1266,1774],[1,3,7,9,13,23,24,32,64,67,81,86,
87,140,255,282,334,677,679,684,1244,1247,1251,1775],[1,3,4,9,13,23,25,33,64,
67,77,81,82,139,255,282,327,677,679,680,1244,1248,1252,1776],[1,3,8,9,13,23,
29,35,64,67,81,88,89,142,255,282,335,677,679,686,1244,1250,1254,1777],[1,3,5,
6,9,13,24,26,29,64,65,66,81,83,84,143,255,281,333,679,681,682,1247,1249,1250,
1778],[1,3,6,8,9,13,24,28,35,64,66,69,81,88,89,147,255,283,335,679,685,686,
1247,1253,1254,1779],[1,3,4,5,6,9,13,25,26,36,37,64,65,66,77,81,82,83,84,149,
255,281,327,328,329,333,336,679,680,681,682,843,1248,1249,1255,1256,1780],[1,
3,4,6,9,13,25,28,33,64,66,69,77,81,82,151,255,283,327,679,680,685,1248,1252,
1253,1781],[1,3,5,6,9,13,26,41,42,64,65,66,81,83,84,154,255,281,284,285,333,
339,340,679,681,682,752,849,1249,1259,1260,1782],[1,3,5,6,9,13,26,43,64,65,66,
81,83,84,160,255,281,286,287,333,679,681,682,753,1249,1261,1783],[1,3,5,6,9,
13,26,44,64,65,66,81,83,84,158,255,281,333,341,342,679,681,682,850,1249,1262,
1784],[1,3,5,6,9,13,26,29,64,65,66,81,83,84,159,255,281,333,679,681,682,1249,
1250,1785],[1,3,5,6,7,8,9,13,26,32,35,45,51,64,65,66,81,83,84,86,87,88,89,164,
255,281,333,334,335,344,345,350,351,679,681,682,684,686,851,1249,1251,1254,
1264,1269,1786],[1,3,5,6,9,13,26,33,64,65,66,81,83,84,165,255,281,333,679,681,
682,1249,1252,1787],[1,3,5,6,9,13,26,28,42,49,64,65,66,69,81,83,84,157,255,
281,283,285,290,293,333,679,681,682,685,755,1249,1253,1265,1270,1788],[1,3,5,
6,9,13,26,43,44,64,65,66,81,83,84,161,255,281,286,291,333,346,349,679,681,682,
756,852,1249,1266,1268,1789],[1,3,5,6,8,9,13,26,35,46,53,64,65,66,81,83,84,88,
89,168,255,281,333,335,347,348,352,679,681,682,686,853,1249,1254,1267,1271,
1790],[1,3,5,6,9,13,26,54,64,65,66,81,83,84,169,255,281,333,679,681,682,1249,
1272,1791],[1,3,6,7,9,13,28,29,32,64,66,69,81,86,87,176,255,283,334,679,684,
685,1250,1251,1253,1792],[1,3,6,8,9,13,28,29,35,64,66,69,81,88,89,178,255,283,
335,679,685,686,1250,1253,1254,1793],[1,4,5,9,13,36,41,44,65,77,82,83,197,255,
284,328,336,339,341,342,680,681,844,854,1255,1259,1262,1794],[1,4,5,6,9,13,36,
42,44,65,66,77,82,83,84,199,255,285,328,336,340,341,342,680,681,682,845,855,
1255,1260,1262,1795],[1,4,5,7,8,9,13,36,38,40,45,65,68,77,82,83,85,86,87,88,
89,200,255,289,328,330,331,336,337,338,343,344,345,680,681,683,684,686,846,
856,1255,1257,1258,1263,1264,1796],[1,4,5,8,9,13,36,44,46,65,77,82,83,88,89,
202,255,291,328,336,346,347,348,680,681,686,847,857,1255,1266,1267,1797],[1,4,
5,8,9,13,36,43,46,65,77,82,83,88,89,203,255,286,328,336,347,348,349,680,681,
686,848,858,1255,1267,1268,1798],[1,4,6,9,13,37,49,54,66,69,77,82,84,206,255,
293,329,680,682,685,1256,1270,1272,1799],[1,4,5,9,13,36,41,44,65,68,83,85,197,
255,284,289,291,339,343,346,681,683,761,859,1259,1263,1266,1800],[1,5,7,8,9,
13,41,45,46,65,83,86,87,88,89,213,255,284,339,344,345,347,348,681,684,686,860,
861,1259,1264,1267,1801],[1,4,5,6,9,13,36,42,43,65,66,68,83,84,85,198,255,285,
286,289,340,343,349,681,682,683,763,862,1260,1263,1268,1802],[1,5,6,7,8,9,13,
42,45,46,51,53,65,66,83,84,86,87,88,89,215,255,285,340,344,345,347,348,350,
351,352,681,682,684,686,863,864,1260,1264,1267,1269,1271,1803],[1,4,5,6,9,13,
36,42,43,65,66,68,69,83,85,198,255,285,286,287,289,290,343,681,683,685,763,
766,1261,1263,1265,1804],[1,4,5,8,9,13,36,44,46,65,68,83,85,88,89,202,255,289,
341,342,343,347,348,681,683,686,865,868,1262,1263,1267,1805],[1,5,7,8,9,13,43,
44,45,65,83,86,87,88,89,216,255,286,341,342,344,345,349,681,684,686,866,870,
1262,1264,1268,1806],[1,5,7,8,9,13,44,45,65,83,86,87,88,89,217,255,291,341,
342,344,345,346,681,684,686,867,869,1262,1264,1266,1807],[1,2,5,9,10,11,16,41,
43,63,65,72,75,114,254,278,284,287,353,354,672,744,871,874,1273,1808],[1,2,5,
9,10,11,16,41,43,61,65,72,114,254,266,284,286,353,354,674,725,871,1273,1809],[
1,3,5,6,9,10,11,26,41,42,65,67,69,70,71,154,254,284,288,290,353,354,675,760,
834,835,1273,1810],[1,4,5,9,10,11,36,41,44,65,68,73,76,197,254,284,289,291,
353,354,676,761,872,875,1273,1811],[1,2,5,9,11,12,16,41,43,61,65,75,114,256,
266,284,286,354,355,687,725,874,1274,1812],[1,4,5,9,11,12,36,41,44,65,68,76,
79,197,256,284,289,291,354,355,688,761,875,877,1274,1813],[1,3,5,6,9,13,21,26,
27,65,67,69,83,124,255,288,294,296,303,306,681,767,783,796,1275,1814],[1,3,9,
13,21,23,24,64,67,81,123,255,282,294,298,303,306,679,757,782,797,1275,1815],[
1,2,3,9,13,14,21,22,61,63,67,91,255,264,294,299,303,306,671,715,781,1275,
1816],[1,3,6,9,13,21,28,29,66,67,84,125,255,292,294,297,303,306,682,776,784,
798,1275,1817],[1,2,3,9,11,12,14,21,22,61,67,75,91,256,264,294,299,305,308,
687,715,793,1276,1818],[1,2,6,9,11,12,17,47,48,61,69,75,119,256,269,301,302,
356,357,687,730,880,1277,1819],[1,2,3,9,10,11,14,21,22,63,70,72,75,91,254,303,
304,305,309,310,672,781,788,793,1278,1820],[1,3,9,10,11,21,23,24,64,70,123,
254,303,304,305,311,313,673,782,789,1278,1821],[1,2,3,4,9,10,11,15,21,25,61,
70,72,73,102,254,303,304,305,312,314,674,731,790,1278,1822],[1,3,7,9,10,11,21,
30,32,67,70,71,74,126,254,303,304,305,315,317,675,785,791,794,1278,1823],[1,3,
4,9,10,11,21,31,33,68,70,73,76,127,254,303,304,305,316,318,676,786,792,795,
1278,1824],[1,2,3,4,9,11,12,15,21,25,61,71,75,76,102,256,303,307,308,321,322,
687,731,799,1279,1825],[1,3,10,12,13,21,23,24,70,81,123,257,304,306,308,311,
313,691,789,797,1280,1826],[1,2,3,4,10,12,13,14,15,23,70,72,73,77,92,257,309,
311,312,319,320,690,716,800,1282,1827],[1,3,10,12,13,21,23,24,70,81,123,257,
304,311,313,319,320,691,789,825,1282,1828],[1,3,4,10,12,13,22,23,25,70,73,78,
82,129,257,310,311,314,319,320,692,804,822,826,1282,1829],[1,3,7,10,12,13,23,
30,70,74,80,86,138,257,311,315,319,320,695,808,823,829,1282,1830],[1,2,3,4,10,
12,13,15,23,31,62,70,72,73,107,257,311,312,316,319,320,689,732,809,1282,
1831],[1,3,4,10,12,13,23,25,33,70,73,79,85,139,257,311,314,318,319,320,693,
810,824,830,1282,1832],[1,3,7,10,12,13,23,24,32,70,74,87,140,257,311,313,317,
319,320,694,811,831,1282,1833],[1,2,3,4,7,10,12,13,15,19,25,32,38,62,70,72,73,
74,77,78,79,80,81,82,85,86,87,108,257,272,274,276,312,314,317,323,324,327,330,
332,334,337,689,690,691,692,693,694,695,740,812,1283,1284,1285,1286,1287,1288,
1289,1834],[1,3,7,10,12,13,30,55,57,70,74,81,186,257,315,325,326,359,360,691,
820,885,1290,1835],[1,7,10,12,13,55,74,80,86,236,257,325,359,360,695,838,887,
891,1290,1836],[1,7,10,12,13,55,57,74,87,238,257,325,326,359,360,694,840,888,
1290,1837],[1,7,10,12,13,57,74,80,86,249,257,326,695,842,893,894,895,1838],[1,
3,5,6,10,12,13,26,41,42,70,81,83,84,154,257,333,339,340,353,355,691,834,849,
1292,1839],[1,4,5,10,12,13,36,41,44,73,77,83,197,257,328,339,341,353,355,690,
844,872,1292,1840],[1,4,5,10,12,13,36,41,44,73,78,82,83,197,257,336,339,342,
353,355,692,854,872,876,1292,1841],[1,2,5,10,12,13,16,41,43,62,72,83,114,257,
271,339,349,353,355,689,733,871,1292,1842],[1,4,5,10,12,13,36,41,44,73,79,83,
85,197,257,339,343,346,353,355,693,859,872,877,1292,1843],[1,5,7,8,10,12,13,
41,45,46,74,80,83,86,88,213,257,339,344,347,353,355,695,860,873,878,1292,
1844],[1,5,7,8,10,12,13,41,45,46,74,83,87,89,213,257,339,345,348,353,355,694,
861,873,1292,1845],[1,4,5,11,12,13,36,41,44,77,78,83,197,258,328,339,341,354,
355,696,844,876,1293,1846],[1,4,5,11,12,13,36,41,44,76,79,83,85,197,258,339,
343,346,354,355,697,859,875,877,1293,1847],[1,5,7,8,11,12,13,41,45,46,80,83,
87,89,213,258,339,345,348,354,355,698,861,878,1293,1848],[1,2,3,4,5,6,15,16,
18,26,36,41,42,43,44,60,104,114,116,154,161,197,198,259,260,261,262,263,413,
699,700,701,703,706,707,708,709,710,1294,1295,1296,1300,1303,1305,1306,1849],[
1,2,3,4,5,6,15,16,18,22,24,26,29,36,60,103,104,106,130,143,259,260,261,262,
263,409,699,700,701,702,703,704,705,708,1295,1297,1298,1299,1302,1850],[1,2,3,
4,5,6,15,16,18,26,29,36,48,60,104,156,159,259,260,261,262,263,416,699,700,701,
703,705,708,711,1295,1301,1304,1851],[1,3,5,6,22,26,41,42,48,60,130,154,156,
260,261,262,463,702,703,706,707,711,1299,1300,1301,1852],[1,3,5,6,22,26,29,43,
44,60,130,159,161,260,261,262,466,702,703,705,709,710,1299,1303,1304,1853],[1,
3,5,6,24,26,29,41,42,60,143,154,159,260,261,262,497,703,704,705,706,707,1300,
1302,1304,1854],[1,3,5,6,24,26,29,43,44,48,60,143,156,161,260,261,262,499,703,
704,705,709,710,711,1301,1302,1303,1855],[1,5,10,41,90,353,362,712,899,1856],[
1,5,12,41,90,355,362,713,899,1857],[1,5,13,41,83,90,339,362,714,899,1308,
1858],[1,4,5,13,36,77,83,90,328,362,363,714,900,1308,1309,1859],[1,5,13,44,83,
90,341,362,714,901,1308,1860],[1,2,9,10,11,60,63,72,75,254,259,364,365,366,
672,902,907,910,1310,1861],[1,3,9,10,11,60,67,70,71,254,260,364,365,366,675,
904,908,911,1310,1862],[1,4,9,10,11,60,68,73,76,254,263,364,365,366,676,905,
909,912,1310,1863],[1,2,3,5,6,9,14,16,17,21,22,26,27,41,42,43,47,48,61,65,67,
69,91,94,95,114,115,119,124,130,154,155,156,160,264,266,269,284,286,288,290,
294,296,299,301,302,368,383,384,441,442,463,464,715,717,718,725,728,730,760,
764,767,770,773,774,916,1311,1321,1322,1364,1367,1372,1375,1864],[1,2,3,4,5,6,
9,14,15,16,17,18,21,22,23,24,25,26,27,28,29,36,37,61,63,64,65,66,67,68,69,91,
92,93,94,95,96,97,102,103,104,105,106,123,124,125,129,130,131,136,137,143,144,
149,264,265,266,267,268,269,270,278,279,280,281,282,283,288,289,292,294,295,
296,297,298,299,300,367,368,369,372,373,378,379,405,409,438,460,715,717,718,
719,720,721,722,723,724,727,746,748,749,750,751,754,757,758,759,767,768,769,
774,776,777,778,913,1311,1312,1313,1323,1324,1327,1328,1354,1355,1360,1361,
1865],[1,2,3,5,6,9,14,16,17,21,22,26,27,28,29,42,43,44,49,61,65,66,67,69,91,
94,95,115,116,124,125,130,157,158,159,161,170,264,266,269,285,287,288,291,292,
293,294,296,297,299,368,385,386,443,444,465,466,715,717,718,726,729,762,765,
767,771,772,774,776,779,917,1311,1325,1326,1368,1371,1376,1379,1866],[1,2,3,4,
7,9,14,15,19,21,22,25,30,31,32,33,38,55,61,67,91,98,99,102,108,126,127,132,
133,150,181,182,188,264,294,299,303,370,396,397,451,452,454,472,715,731,785,
921,1329,1396,1399,1867],[1,2,3,4,5,6,13,14,15,16,17,18,21,22,23,24,25,26,27,
28,29,36,37,77,81,82,83,84,91,92,93,94,95,96,97,102,103,104,105,106,123,124,
125,129,130,131,136,137,143,144,149,320,327,328,329,333,336,367,368,369,372,
373,378,379,405,409,438,460,716,825,826,827,828,843,913,1314,1315,1316,1449,
1452,1868],[1,2,3,4,7,13,14,15,19,21,22,23,24,25,30,31,32,33,38,62,77,81,82,
85,86,87,91,92,93,98,99,102,103,107,108,109,123,126,127,129,132,133,138,139,
140,145,146,150,272,274,276,320,327,330,334,337,367,370,374,375,380,396,398,
406,410,439,461,716,732,740,825,826,829,830,831,914,1314,1317,1318,1341,1342,
1450,1453,1869],[1,2,3,4,6,8,13,14,15,17,18,20,21,22,23,24,25,28,29,31,33,34,
35,39,40,62,77,81,82,85,88,89,91,92,93,96,97,100,101,102,103,106,107,109,110,
111,112,113,123,125,127,128,129,131,134,135,139,141,142,145,147,148,151,152,
153,273,274,277,320,327,331,335,338,367,369,371,376,377,381,382,406,407,408,
411,412,427,440,462,716,732,742,825,826,830,832,833,915,1314,1319,1320,1341,
1344,1451,1454,1870],[1,2,3,4,5,6,13,14,15,16,17,18,23,26,28,36,41,42,43,44,
49,77,83,92,94,96,104,114,115,116,136,154,157,160,161,197,198,320,328,339,341,
372,383,385,413,414,480,483,716,827,844,925,1315,1455,1458,1871],[1,2,3,4,5,6,
13,14,15,16,17,18,23,26,27,28,29,36,42,44,47,48,77,83,84,92,94,96,104,116,119,
136,137,155,156,158,159,170,199,320,328,340,342,372,384,386,415,416,481,482,
716,827,828,845,926,1315,1456,1457,1872],[1,2,3,4,5,6,7,8,13,14,15,16,17,18,
19,20,23,26,28,30,31,34,36,39,45,50,62,77,83,86,88,92,94,96,98,100,104,107,
110,111,117,120,136,138,141,162,163,175,271,272,273,320,328,344,372,374,376,
387,393,417,484,716,732,734,827,829,832,927,1315,1317,1319,1340,1459,1873],[1,
2,3,4,5,6,7,8,13,14,15,16,17,18,19,20,23,24,25,26,28,29,32,33,35,36,37,38,40,
45,51,77,83,85,87,89,92,93,94,96,97,99,101,104,108,109,112,113,117,122,136,
139,140,142,143,147,149,151,164,165,176,200,320,328,330,331,343,345,372,375,
377,378,381,388,394,418,419,485,486,716,827,830,831,833,846,928,1315,1318,
1320,1460,1461,1874],[1,2,3,4,5,6,8,13,14,15,16,17,18,23,26,28,34,36,42,43,44,
46,49,52,77,83,88,92,94,96,104,115,116,118,136,141,157,161,166,167,177,201,
203,320,328,347,349,372,385,389,420,421,487,490,716,827,832,848,929,1315,1462,
1465,1875],[1,2,3,4,5,6,8,13,14,15,16,17,18,23,26,28,29,35,36,44,46,53,54,77,
83,89,92,94,96,104,118,121,136,142,158,159,168,169,178,202,320,328,346,348,
372,386,390,422,423,488,489,716,827,833,847,930,1315,1463,1464,1876],[1,2,3,4,
6,7,8,13,14,15,18,19,20,22,23,25,27,29,30,31,33,34,35,37,38,40,51,62,77,82,84,
85,86,89,92,95,97,98,100,101,105,106,107,112,113,122,129,132,134,137,138,139,
142,150,153,171,172,179,189,272,275,277,320,329,331,337,350,373,374,377,391,
395,399,401,424,427,461,491,716,732,741,826,828,829,830,833,931,1316,1317,
1320,1343,1344,1453,1466,1877],[1,2,3,4,6,7,8,13,14,15,17,18,19,20,22,23,24,
25,27,28,29,31,32,33,34,37,38,39,40,50,51,62,77,82,84,85,87,88,92,93,95,96,97,
99,100,103,105,106,107,108,109,110,111,113,120,122,129,131,133,135,137,139,
140,141,144,145,148,151,152,153,172,173,176,205,273,275,276,320,329,330,338,
351,373,375,376,379,382,392,394,410,411,424,425,426,428,462,492,716,732,743,
826,828,830,831,832,932,1316,1318,1319,1342,1343,1454,1467,1878],[1,2,3,4,5,6,
9,14,15,16,17,18,23,26,28,36,41,42,43,44,49,61,63,64,65,66,67,68,69,92,94,96,
104,114,115,116,136,154,157,160,161,197,198,264,265,266,267,268,269,270,278,
279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,372,383,385,413,
414,480,483,717,719,721,723,724,725,726,727,728,729,744,745,746,747,752,753,
754,755,756,760,761,762,763,764,765,766,925,1321,1323,1325,1330,1331,1332,
1333,1352,1353,1358,1359,1879],[1,2,3,4,5,6,9,14,16,17,24,25,26,29,36,37,41,
42,43,44,61,65,67,68,69,93,94,97,114,115,143,149,154,158,159,160,197,199,264,
266,269,284,286,288,289,290,291,295,297,298,300,378,383,386,497,500,513,516,
717,720,722,725,728,760,761,764,768,769,771,772,775,935,1321,1324,1326,1365,
1366,1373,1374,1880],[1,2,3,4,5,6,9,14,15,16,17,18,23,26,27,28,29,36,42,44,47,
48,61,63,64,65,66,67,68,69,92,94,96,104,116,119,136,137,155,156,158,159,170,
199,264,265,266,267,268,269,270,278,279,280,281,282,283,288,289,290,291,292,
296,297,301,302,372,384,386,415,416,481,482,717,719,721,723,724,727,730,746,
747,754,759,770,771,772,773,775,779,926,1322,1323,1326,1356,1357,1362,1363,
1881],[1,2,3,4,5,6,9,14,16,17,24,25,26,27,28,29,36,37,42,43,44,47,48,49,61,65,
66,67,68,69,93,94,97,115,116,119,143,144,149,155,156,157,161,170,198,199,204,
264,266,269,285,287,288,289,290,291,292,293,295,296,297,298,300,301,302,378,
384,385,498,499,514,515,717,720,722,726,729,730,762,765,766,768,769,770,773,
775,778,779,780,936,1322,1324,1325,1369,1370,1377,1378,1882],[1,2,3,4,5,6,7,8,
9,14,15,16,17,18,19,20,21,25,26,27,30,31,32,34,35,36,37,38,39,40,45,50,51,61,
65,67,69,94,98,100,102,104,105,108,110,112,117,120,122,124,126,128,149,150,
152,162,163,164,171,173,189,200,205,264,266,269,288,303,387,396,399,405,407,
418,425,445,517,717,731,783,785,787,952,1329,1335,1338,1390,1883],[1,2,3,4,6,
7,8,9,14,15,19,21,22,25,27,30,31,32,33,34,35,38,51,56,61,67,69,95,98,101,102,
108,126,128,132,134,150,171,172,182,183,190,191,264,296,299,303,391,396,400,
454,455,475,524,718,731,785,787,961,1329,1399,1400,1884],[1,2,3,4,7,9,14,15,
19,21,22,23,24,25,30,31,32,33,38,61,63,64,67,68,91,92,93,98,99,102,103,107,
108,109,123,126,127,129,132,133,138,139,140,145,146,150,264,265,268,279,282,
303,367,370,374,375,380,396,398,406,410,439,461,719,731,781,782,785,786,914,
1329,1334,1337,1381,1384,1885],[1,2,3,4,7,9,14,15,19,21,24,25,30,31,32,33,38,
57,61,67,68,93,98,102,108,126,127,145,146,150,182,184,188,207,264,295,298,303,
380,396,402,452,453,509,522,720,731,785,786,941,1329,1397,1398,1886],[1,2,3,4,
6,7,9,14,15,17,18,19,21,22,25,28,29,30,31,32,33,38,39,50,61,63,66,67,68,91,96,
97,98,99,102,106,108,111,113,120,125,126,127,131,132,133,150,151,153,175,176,
179,264,267,270,279,292,303,369,370,393,394,395,396,401,408,428,449,471,721,
731,781,784,785,786,920,1329,1336,1339,1381,1394,1887],[1,2,3,4,7,9,14,15,19,
21,25,29,30,31,32,33,38,58,61,67,68,97,98,102,108,126,127,150,153,179,182,185,
188,208,264,295,297,303,395,396,403,452,456,523,525,722,731,785,786,969,1329,
1397,1401,1888],[1,2,3,4,5,6,9,14,15,16,17,18,21,22,23,24,25,26,27,28,29,36,
37,61,63,64,65,66,91,92,93,94,95,96,97,102,103,104,105,106,123,124,125,129,
130,131,136,137,143,144,149,265,266,267,278,281,303,367,368,369,372,373,378,
379,405,409,438,460,723,731,781,782,783,784,913,1334,1335,1336,1380,1383,
1889],[1,2,3,4,6,8,9,14,15,17,18,20,21,22,23,24,25,28,29,31,33,34,35,39,40,61,
63,64,66,68,69,91,92,93,96,97,100,101,102,103,106,107,109,110,111,112,113,123,
125,127,128,129,131,134,135,139,141,142,145,147,148,151,152,153,265,267,268,
269,270,280,283,303,367,369,371,376,377,381,382,406,407,408,411,412,427,440,
462,724,731,781,782,784,786,787,915,1334,1336,1337,1338,1339,1382,1385,1890],[
1,2,3,4,5,6,9,15,16,18,21,25,26,27,36,37,41,42,43,44,47,61,65,102,104,105,114,
116,124,149,154,155,158,161,197,198,199,266,284,286,303,405,413,415,441,444,
513,514,725,731,783,973,1335,1386,1389,1891],[1,2,3,4,5,6,9,15,16,18,21,25,26,
27,28,29,36,37,42,43,48,49,61,65,66,102,104,105,115,124,125,149,156,157,159,
160,170,198,204,266,285,287,303,405,414,416,442,443,515,516,726,731,783,784,
974,1335,1387,1388,1892],[1,2,3,4,5,6,9,15,16,18,21,23,24,25,26,27,28,29,31,
33,36,37,39,61,64,65,66,68,102,104,105,107,109,111,113,123,124,125,127,136,
137,139,143,144,145,149,151,153,163,165,172,266,268,270,281,289,303,405,406,
408,417,419,424,426,438,446,485,501,727,731,782,783,784,786,975,1335,1337,
1339,1383,1391,1893],[1,2,3,4,5,6,8,9,15,16,18,21,25,26,27,34,35,36,37,42,43,
44,46,52,53,61,65,69,102,104,105,115,118,124,128,149,158,161,166,168,174,201,
202,203,266,286,290,303,405,420,422,444,447,520,521,728,731,783,787,976,1335,
1389,1392,1894],[1,2,3,4,5,6,9,15,16,18,21,25,26,27,28,29,36,37,42,44,49,54,
61,65,66,102,104,105,116,124,125,149,157,159,167,169,170,201,206,266,285,291,
303,405,421,423,443,448,518,519,729,731,783,784,977,1335,1388,1393,1895],[1,2,
3,4,6,8,9,15,17,20,21,25,34,35,39,40,47,48,53,54,59,61,69,102,110,112,119,121,
128,152,193,194,195,196,209,210,211,212,269,301,302,303,407,429,430,458,459,
526,527,730,731,787,978,1338,1403,1404,1896],[1,2,3,4,5,6,13,15,16,18,23,26,
28,31,36,39,41,42,43,44,49,62,83,104,107,111,114,116,136,154,157,161,163,167,
197,198,201,271,320,339,349,413,417,421,480,490,529,541,732,733,827,984,1340,
1455,1465,1897],[1,2,3,4,5,6,8,13,15,16,18,23,26,28,31,34,36,39,42,43,44,46,
49,52,62,83,88,104,107,111,115,118,136,141,157,160,161,163,166,177,198,201,
203,271,320,341,347,414,417,420,483,487,541,550,732,735,827,832,987,1340,1458,
1462,1898],[1,2,3,4,5,6,13,15,16,18,21,23,24,25,26,27,28,29,31,33,36,37,39,62,
81,83,84,85,102,104,105,107,109,111,113,123,124,125,127,136,137,139,143,144,
145,149,151,153,163,165,172,271,274,275,320,333,343,405,406,408,417,419,424,
426,438,446,485,501,732,736,825,827,828,830,975,1340,1341,1343,1449,1460,
1899],[1,2,3,4,5,6,7,8,13,15,16,18,19,20,22,23,24,25,26,28,29,31,32,35,36,37,
38,39,40,45,51,62,82,83,87,89,103,104,106,107,108,111,112,117,122,129,130,131,
133,134,136,140,142,143,145,147,149,153,163,164,176,200,271,276,277,320,336,
345,409,410,412,417,418,427,428,460,468,486,501,732,738,826,827,831,833,981,
1340,1342,1344,1452,1461,1900],[1,2,3,4,5,6,13,15,16,18,23,26,27,28,29,31,36,
39,42,44,47,54,62,83,84,104,107,111,116,136,137,155,158,159,163,169,170,199,
209,271,320,340,346,415,417,423,481,489,533,545,732,737,827,828,990,1340,1456,
1464,1901],[1,2,3,4,5,6,8,13,15,16,18,23,26,28,29,31,35,36,39,44,46,48,53,62,
83,89,104,107,111,118,136,142,156,158,159,163,168,178,202,210,271,320,342,348,
416,417,422,482,488,537,545,732,739,827,833,993,1340,1457,1463,1902],[1,2,3,4,
5,6,7,8,13,15,16,18,19,20,25,26,32,35,36,37,38,40,41,42,43,44,45,46,51,53,62,
77,81,82,83,84,85,86,87,88,89,104,108,112,114,116,117,118,122,149,154,158,161,
164,168,197,198,199,200,202,203,213,215,216,217,271,272,273,274,275,276,277,
327,328,329,330,331,333,334,335,336,337,338,339,340,341,342,343,344,345,346,
347,348,349,350,351,352,413,418,422,431,433,513,521,530,546,604,605,733,734,
735,736,737,738,739,740,741,742,743,843,844,845,846,847,848,849,850,851,852,
853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,985,
1345,1346,1347,1348,1349,1350,1351,1486,1487,1488,1489,1490,1491,1492,1493,
1903],[1,2,3,4,5,6,9,15,16,18,21,25,26,27,36,37,41,42,43,44,47,63,65,67,68,69,
102,104,105,114,116,124,149,154,155,158,161,197,198,199,278,279,280,284,287,
288,289,290,291,294,295,296,300,301,405,413,415,441,444,513,514,744,746,747,
748,749,760,761,765,766,767,768,770,771,775,973,1352,1354,1356,1364,1365,1376,
1377,1904],[1,2,3,4,5,6,9,15,16,18,22,24,26,29,36,41,42,43,44,48,63,65,67,68,
69,103,104,106,114,116,130,143,154,156,159,161,197,198,278,279,280,284,287,
288,289,290,291,297,298,299,302,409,413,416,463,466,497,499,744,746,747,750,
751,760,761,765,766,769,772,773,774,979,1352,1355,1357,1366,1367,1378,1379,
1905],[1,2,3,4,5,6,9,15,16,18,21,25,26,27,28,29,36,37,42,43,48,49,63,65,66,67,
68,69,102,104,105,115,124,125,149,156,157,159,160,170,198,204,278,279,280,285,
286,288,289,292,293,294,295,296,297,300,302,405,414,416,442,443,515,516,745,
746,748,749,762,763,764,767,768,772,773,776,779,780,974,1353,1354,1357,1368,
1369,1372,1373,1906],[1,2,3,4,5,6,9,15,16,18,22,24,26,27,28,29,36,42,43,44,47,
49,63,65,66,67,68,69,103,104,106,115,116,130,143,144,155,157,158,160,170,198,
199,278,279,280,285,286,288,289,290,291,292,293,296,297,298,299,301,409,414,
415,464,465,498,500,745,746,747,750,751,762,763,764,769,770,771,774,775,778,
779,980,1353,1355,1356,1370,1371,1374,1375,1907],[1,3,5,6,9,21,23,24,26,27,28,
29,41,42,47,49,64,65,66,67,69,123,124,125,136,137,143,144,154,155,157,159,170,
281,282,283,284,285,288,290,292,293,294,296,297,298,301,438,441,443,480,481,
497,498,752,754,755,757,759,760,762,767,769,770,772,776,778,779,997,1358,1360,
1362,1364,1366,1368,1370,1908],[1,3,4,5,6,9,22,23,25,26,28,36,37,41,42,44,48,
49,64,65,66,67,68,69,129,130,131,136,149,154,156,157,158,197,199,204,281,282,
283,284,285,288,289,290,291,292,293,295,299,300,302,460,463,465,480,482,513,
515,752,754,755,758,760,761,762,768,771,773,774,775,777,780,1028,1358,1361,
1363,1365,1367,1369,1371,1909],[1,3,5,6,9,21,23,24,26,27,28,29,43,44,48,64,65,
66,67,69,123,124,125,136,137,143,144,156,158,160,161,281,282,283,286,287,288,
291,292,294,296,297,298,302,438,442,444,482,483,499,500,753,754,756,757,759,
764,765,767,769,771,773,776,778,998,1359,1360,1363,1372,1374,1376,1378,1910],[
1,3,4,5,6,9,22,23,25,26,27,28,29,36,37,42,43,44,47,64,65,66,67,68,69,129,130,
131,136,137,149,155,159,160,161,170,198,199,281,282,283,286,287,288,289,290,
291,292,295,296,297,299,300,301,460,464,466,481,483,514,516,753,754,756,758,
759,764,765,766,768,770,772,774,775,777,779,1029,1359,1361,1362,1373,1375,
1377,1379,1911],[1,2,3,5,6,9,14,16,17,21,22,26,27,41,42,43,47,48,63,65,91,94,
95,114,115,119,124,130,154,155,156,160,278,284,287,303,368,383,384,441,442,
463,464,744,781,783,916,1380,1386,1387,1912],[1,2,3,5,6,9,14,16,17,21,22,26,
27,28,29,42,43,44,49,63,65,66,91,94,95,115,116,124,125,130,157,158,159,161,
170,278,285,286,303,368,385,386,443,444,465,466,745,781,783,784,917,1380,1388,
1389,1913],[1,2,3,4,5,6,7,8,9,14,15,16,17,18,19,20,21,22,26,27,30,31,32,33,34,
35,36,39,45,50,51,63,65,67,68,69,91,94,95,98,99,100,101,104,110,117,120,124,
126,127,128,130,132,133,134,135,162,163,164,165,171,172,173,278,279,280,288,
289,303,368,370,371,387,388,391,392,445,446,467,468,746,781,783,785,786,787,
918,1380,1381,1382,1390,1391,1914],[1,2,3,5,6,8,9,14,16,17,21,22,26,27,34,35,
42,44,46,52,53,54,63,65,69,91,94,95,116,118,121,124,128,130,166,167,168,169,
174,278,290,291,303,368,389,390,447,448,469,470,747,781,783,787,919,1380,1392,
1393,1915],[1,2,3,4,7,9,14,15,19,21,22,25,30,31,32,33,38,55,63,67,68,91,98,99,
102,108,126,127,132,133,150,181,182,188,279,294,295,303,370,396,397,451,452,
454,472,748,781,785,786,921,1381,1396,1397,1916],[1,2,3,4,7,9,14,15,19,21,22,
24,30,31,32,33,57,63,67,68,91,98,99,103,109,126,127,132,133,146,182,184,279,
298,299,303,370,398,402,453,454,473,474,751,781,785,786,922,1381,1398,1399,
1917],[1,2,3,4,6,7,8,9,14,15,18,19,20,21,22,25,27,30,31,32,33,34,35,37,38,40,
51,56,63,67,68,69,91,98,99,100,101,105,112,122,126,127,128,132,133,134,135,
150,171,182,183,188,189,190,191,192,279,280,295,296,300,303,370,371,399,400,
404,452,455,457,475,476,479,749,781,785,786,787,923,1381,1382,1397,1400,1402,
1918],[1,2,3,4,7,9,14,15,19,21,22,29,30,31,32,33,58,63,67,68,91,98,99,106,113,
126,127,132,133,179,182,185,279,297,299,303,370,401,403,454,456,477,478,750,
781,785,786,924,1381,1399,1401,1919],[1,3,5,6,9,21,23,24,26,27,28,29,41,42,47,
49,64,65,66,123,124,125,136,137,143,144,154,155,157,159,170,281,284,285,303,
438,441,443,480,481,497,498,752,782,783,784,997,1383,1386,1388,1920],[1,3,5,6,
9,21,23,24,26,27,28,29,43,44,48,64,65,66,123,124,125,136,137,143,144,156,158,
160,161,281,286,287,303,438,442,444,482,483,499,500,753,782,783,784,998,1383,
1387,1389,1921],[1,3,5,6,7,8,9,21,23,24,26,27,28,29,30,32,34,35,45,50,51,64,
65,66,67,69,123,124,125,126,128,136,137,138,140,141,142,143,144,146,147,148,
162,164,171,173,175,176,179,281,282,283,288,292,303,438,439,440,445,449,484,
486,491,492,502,507,754,782,783,784,785,787,999,1383,1384,1385,1390,1394,
1922],[1,3,5,6,8,9,21,23,24,26,27,28,29,34,35,42,46,49,52,53,64,65,66,69,123,
124,125,128,136,137,141,142,143,144,147,148,157,159,166,168,170,174,177,178,
180,281,283,285,290,293,303,438,440,443,447,450,487,488,493,503,504,508,755,
782,783,784,787,1000,1383,1385,1388,1392,1395,1923],[1,3,5,6,9,21,23,24,26,27,
28,29,43,44,54,64,65,66,123,124,125,136,137,143,144,158,161,167,169,281,286,
291,303,438,444,448,489,490,505,506,756,782,783,784,1001,1383,1389,1393,
1924],[1,3,7,9,21,23,24,30,32,55,57,64,67,123,126,138,140,146,181,184,186,282,
294,298,303,439,451,453,494,510,757,782,785,1002,1384,1396,1398,1925],[1,3,4,
7,9,21,22,23,24,25,30,31,32,33,38,64,67,68,123,126,127,129,132,138,139,140,
146,150,182,188,282,295,299,303,439,452,454,461,473,495,509,758,782,785,786,
1003,1384,1397,1399,1926],[1,3,6,7,8,9,21,23,24,27,29,30,32,34,35,51,56,58,64,
67,69,123,126,128,137,138,140,142,146,171,179,183,185,187,191,282,296,297,303,
439,455,456,491,496,511,512,759,782,785,787,1004,1384,1400,1401,1927],[1,3,5,
6,7,8,9,21,26,27,30,32,34,35,41,42,45,46,47,50,51,52,53,65,67,69,124,126,128,
154,155,162,164,166,168,171,173,174,193,213,214,215,222,284,288,290,303,441,
445,447,528,530,532,534,760,783,785,787,1005,1386,1390,1392,1928],[1,3,4,5,6,
9,21,26,27,31,33,36,39,41,42,44,47,54,65,68,124,127,154,155,163,165,167,169,
172,197,201,209,284,289,291,303,441,446,448,529,531,533,535,761,783,786,1006,
1386,1391,1393,1929],[1,3,5,6,7,8,9,21,26,27,30,32,34,35,43,44,45,48,50,51,54,
65,67,69,124,126,128,156,160,161,162,164,167,169,171,173,196,216,223,287,288,
291,303,442,445,448,536,538,549,551,765,783,785,787,1007,1387,1390,1393,
1930],[1,3,4,5,6,8,9,21,26,27,31,33,34,35,36,39,42,43,46,48,52,53,65,68,69,
124,127,128,156,160,163,165,166,168,172,174,198,203,210,287,289,290,303,442,
446,447,537,539,550,552,766,783,786,787,1008,1387,1391,1392,1931],[1,3,5,6,7,
8,9,21,26,27,28,29,30,32,34,35,42,45,49,50,51,52,65,66,67,69,124,125,126,128,
157,159,162,164,170,171,173,175,176,177,178,179,180,214,224,285,288,292,293,
303,443,445,449,450,540,542,547,568,569,762,783,784,785,787,1009,1388,1390,
1394,1395,1932],[1,3,4,5,6,9,21,26,27,28,29,31,33,36,39,42,43,44,49,65,66,68,
124,125,127,157,158,159,161,163,165,170,172,198,201,285,286,289,303,443,444,
446,541,543,545,548,763,783,784,786,1010,1388,1389,1391,1933],[1,3,5,6,7,8,9,
21,26,27,30,32,34,35,43,44,45,50,51,65,67,69,124,126,128,158,160,161,162,164,
167,171,173,216,217,286,288,303,444,445,544,546,549,764,783,785,787,1011,1389,
1390,1934],[1,3,5,6,7,8,9,21,26,27,30,32,34,35,45,50,51,55,56,65,67,69,124,
126,128,162,164,171,173,181,183,191,218,225,288,294,296,303,445,451,455,553,
570,767,783,785,787,1012,1390,1396,1400,1935],[1,3,4,5,6,7,8,9,21,25,26,27,30,
31,32,33,34,35,36,37,38,39,40,45,50,51,65,67,68,69,124,126,127,128,149,150,
152,162,163,164,165,171,172,173,182,188,189,190,192,200,205,288,289,295,300,
303,445,446,452,457,517,524,554,561,574,768,783,785,786,787,1013,1390,1391,
1397,1402,1936],[1,3,5,6,7,8,9,21,24,26,27,29,30,32,34,35,45,50,51,57,58,65,
67,69,124,126,128,143,146,148,162,164,171,173,179,184,185,220,229,288,297,298,
303,445,453,456,502,511,557,571,769,783,785,787,1014,1390,1398,1401,1937],[1,
3,5,6,7,8,9,21,22,26,27,30,32,33,34,35,45,50,51,65,67,69,124,126,128,130,132,
135,162,164,165,171,173,182,192,288,299,303,445,454,467,476,554,774,783,785,
787,1015,1390,1399,1938],[1,3,5,6,7,8,9,21,26,27,30,32,34,35,42,45,46,47,50,
51,52,53,56,59,65,67,69,124,126,128,155,162,164,166,168,171,173,174,183,191,
193,194,215,219,222,226,228,235,288,290,296,301,303,445,447,455,458,532,555,
564,572,575,770,783,785,787,1016,1390,1392,1400,1403,1939],[1,3,5,6,7,8,9,21,
26,27,30,32,34,35,44,45,50,51,54,65,67,69,124,126,128,158,162,164,167,169,171,
173,195,217,227,288,291,303,445,448,544,556,565,771,783,785,787,1017,1390,
1393,1940],[1,3,5,6,7,8,9,21,26,27,29,30,32,34,35,45,50,51,58,65,67,69,124,
126,128,159,162,164,171,173,179,180,185,221,230,288,297,303,445,456,547,558,
573,772,783,785,787,1018,1390,1401,1941],[1,3,5,6,7,8,9,21,26,27,30,32,34,35,
45,48,50,51,54,65,67,69,124,126,128,156,162,164,169,171,173,195,196,223,227,
288,302,303,445,459,536,556,576,773,783,785,787,1019,1390,1404,1942],[1,3,4,5,
6,8,9,21,26,27,31,33,34,35,36,39,42,44,46,52,53,54,65,68,69,124,127,128,163,
165,166,167,168,169,172,174,199,202,211,212,289,290,291,303,446,447,448,562,
563,566,567,775,783,786,787,1020,1391,1392,1393,1943],[1,3,6,7,9,21,28,29,30,
32,50,55,58,66,67,125,126,175,176,179,181,185,231,292,294,297,303,449,451,456,
577,587,776,784,785,1021,1394,1396,1401,1944],[1,3,4,6,7,9,21,22,25,28,29,30,
31,32,33,38,50,66,67,68,125,126,127,131,132,150,151,175,176,179,182,188,292,
295,299,303,449,452,454,471,478,525,578,777,784,785,786,1022,1394,1397,1399,
1945],[1,3,6,7,8,9,21,24,27,28,29,30,32,34,35,50,51,56,57,66,67,69,125,126,
128,144,146,147,171,175,176,179,183,184,191,232,292,296,298,303,449,453,455,
507,512,571,579,778,784,785,787,1023,1394,1398,1400,1946],[1,3,6,7,8,9,21,27,
28,29,30,32,34,35,50,51,56,58,66,67,69,125,126,128,170,171,175,176,178,179,
183,185,191,233,234,292,296,297,303,449,455,456,568,573,580,588,779,784,785,
787,1024,1394,1400,1401,1947],[1,3,4,6,8,9,21,28,29,31,33,34,35,37,40,48,49,
52,54,66,68,69,125,127,128,177,178,180,189,190,192,195,196,204,206,293,300,
302,303,450,457,459,585,586,589,590,780,784,786,787,1025,1395,1402,1404,
1948],[1,2,3,4,7,10,14,15,19,21,22,23,24,25,30,31,32,33,38,70,72,73,74,91,92,
93,98,99,102,103,107,108,109,123,126,127,129,132,133,138,139,140,145,146,150,
304,309,310,311,312,313,314,315,316,317,318,323,324,367,370,374,375,380,396,
398,406,410,439,461,788,789,790,791,792,800,801,802,803,804,805,806,807,808,
809,810,811,812,813,814,815,816,914,1405,1406,1407,1408,1409,1428,1429,1430,
1432,1434,1435,1949],[1,2,3,4,7,10,14,15,19,21,22,25,30,31,32,33,38,55,70,72,
73,74,91,98,99,102,108,126,127,132,133,150,181,182,188,304,309,310,312,314,
315,316,317,318,323,324,325,370,396,397,451,452,454,472,788,790,791,792,802,
803,806,807,812,816,817,818,821,921,1406,1409,1410,1411,1413,1431,1436,1950],[
1,2,3,4,7,10,14,15,19,21,22,24,30,31,32,33,57,70,72,73,74,91,98,99,103,109,
126,127,132,133,146,182,184,304,309,310,312,313,315,316,317,318,323,326,370,
398,402,453,454,473,474,788,791,792,802,803,805,806,807,813,815,818,819,922,
1406,1412,1413,1432,1433,1437,1438,1951],[1,3,7,10,21,23,24,30,32,55,57,70,74,
123,126,138,140,146,181,184,186,304,311,313,315,317,325,326,439,451,453,494,
510,789,791,808,811,815,817,819,820,1002,1407,1410,1412,1439,1442,1952],[1,3,
4,7,10,21,22,23,24,25,30,31,32,33,38,70,73,74,123,126,127,129,132,138,139,140,
146,150,182,188,304,310,311,313,314,315,316,317,318,324,439,452,454,461,473,
495,509,789,791,792,804,806,808,810,811,815,816,818,821,1003,1407,1411,1413,
1434,1437,1440,1441,1953],[1,2,3,4,7,10,14,15,19,21,24,25,30,31,32,33,38,57,
70,72,73,74,93,98,102,108,126,127,145,146,150,182,184,188,207,304,309,312,313,
314,315,316,317,318,323,324,326,380,396,402,452,453,509,522,790,791,792,801,
802,812,814,815,816,818,819,821,837,941,1409,1411,1412,1430,1433,1441,1443,
1954],[1,3,7,10,21,30,32,55,57,70,74,126,181,186,236,237,238,304,315,317,325,
326,451,591,592,791,817,820,838,839,840,1026,1410,1444,1445,1955],[1,2,3,4,7,
11,14,15,19,21,22,25,30,31,32,33,38,55,71,75,76,91,98,99,102,108,126,127,132,
133,150,181,182,188,305,307,321,322,370,396,397,451,452,454,472,793,794,795,
799,921,1414,1415,1416,1956],[1,3,5,6,10,21,23,24,26,27,28,29,41,42,47,49,70,
123,124,125,136,137,143,144,154,155,157,159,170,304,311,313,353,438,441,443,
480,481,497,498,789,834,997,1417,1469,1471,1957],[1,2,3,5,6,10,14,16,17,21,22,
26,27,41,42,43,47,48,70,72,91,94,95,114,115,119,124,130,154,155,156,160,304,
309,310,353,368,383,384,441,442,463,464,788,834,871,916,1417,1472,1473,1958],[
1,2,3,4,5,6,10,15,16,18,21,25,26,27,36,37,41,42,43,44,47,70,72,73,102,104,105,
114,116,124,149,154,155,158,161,197,198,199,304,312,314,353,405,413,415,441,
444,513,514,790,834,871,872,973,1417,1474,1475,1959],[1,3,5,6,7,8,10,21,26,27,
30,32,34,35,41,42,45,46,47,50,51,52,53,70,74,124,126,128,154,155,162,164,166,
168,171,173,174,193,213,214,215,222,304,315,317,353,441,445,447,528,530,532,
534,791,834,873,1005,1417,1476,1478,1960],[1,3,4,5,6,10,21,26,27,31,33,36,39,
41,42,44,47,54,70,73,124,127,154,155,163,165,167,169,172,197,201,209,304,316,
318,353,441,446,448,529,531,533,535,792,834,872,1006,1417,1477,1479,1961],[1,
2,3,5,6,11,14,16,17,21,22,26,27,41,42,43,47,48,75,91,94,95,114,115,119,124,
130,154,155,156,160,305,354,356,368,383,384,441,442,463,464,793,874,880,916,
1418,1962],[1,3,5,6,7,8,11,21,26,27,30,32,34,35,41,42,45,46,47,50,51,52,53,71,
124,126,128,154,155,162,164,166,168,171,173,174,193,213,214,215,222,305,354,
356,441,445,447,528,530,532,534,794,835,836,1005,1418,1963],[1,3,4,5,6,11,21,
26,27,31,33,36,39,41,42,44,47,54,76,124,127,154,155,163,165,167,169,172,197,
201,209,305,354,356,441,446,448,529,531,533,535,795,875,881,1006,1418,1964],[
1,3,5,6,13,21,23,24,26,27,28,29,41,42,47,49,81,83,84,123,124,125,136,137,143,
144,154,155,157,159,170,306,333,339,340,438,441,443,480,481,497,498,796,797,
798,849,997,1419,1422,1423,1965],[1,2,3,4,5,6,11,15,16,18,21,25,26,27,36,37,
41,42,43,44,47,71,75,76,102,104,105,114,116,124,149,154,155,158,161,197,198,
199,307,321,322,354,405,413,415,441,444,513,514,799,835,874,875,973,1420,1480,
1481,1966],[1,3,5,6,7,8,13,21,26,27,30,32,34,35,45,50,51,55,56,83,124,126,128,
162,164,171,173,181,183,191,218,225,306,359,445,451,455,553,570,796,879,1012,
1424,1967],[1,3,7,13,21,23,24,30,32,55,57,81,123,126,138,140,146,181,184,186,
306,359,439,451,453,494,510,797,885,1002,1424,1968],[1,3,6,7,13,21,28,29,30,
32,50,55,58,84,125,126,175,176,179,181,185,231,306,359,449,451,456,577,587,
798,886,1021,1424,1969],[1,3,7,13,21,30,32,55,57,86,126,181,186,236,237,238,
306,359,451,591,592,887,1026,1424,1970],[1,3,7,13,21,30,32,55,57,87,126,181,
186,236,237,238,306,359,451,591,592,888,1026,1424,1971],[1,3,7,8,13,21,30,32,
55,56,58,88,126,181,187,239,240,241,306,359,451,593,594,889,1027,1424,1972],[
1,3,7,8,13,21,30,32,55,56,58,89,126,181,187,239,240,241,306,359,451,593,594,
890,1027,1424,1973],[1,3,7,12,21,30,32,55,57,80,126,181,186,236,237,238,308,
360,451,591,592,891,1026,1425,1974],[1,2,3,4,6,8,11,15,17,20,21,25,34,35,39,
40,47,48,53,54,59,71,75,76,102,110,112,119,121,128,152,193,194,195,196,209,
210,211,212,307,321,322,356,407,429,430,458,459,526,527,799,836,880,881,978,
1426,1482,1483,1975],[1,2,3,4,7,10,14,15,19,23,30,31,32,33,55,57,70,72,73,74,
92,98,99,107,138,181,182,184,186,188,309,311,312,315,316,317,318,323,325,326,
374,397,402,494,495,800,802,803,808,809,817,818,819,820,821,933,1428,1431,
1433,1439,1440,1976],[1,2,3,4,7,10,14,15,19,22,24,25,30,31,32,33,38,55,70,72,
73,74,93,98,99,103,109,132,133,145,146,150,181,182,188,309,310,312,313,314,
315,316,317,318,323,324,325,380,397,398,472,473,509,510,801,802,803,805,806,
807,813,814,815,816,817,818,821,942,1430,1431,1432,1436,1437,1441,1442,1977],[
1,3,4,7,10,22,23,25,30,31,32,33,38,55,57,70,73,74,129,132,133,138,139,150,181,
184,186,188,207,310,311,314,315,316,317,318,324,325,326,461,472,474,494,522,
804,806,807,808,810,816,817,819,820,821,837,1033,1434,1436,1438,1439,1443,
1978],[1,3,7,10,22,30,33,55,57,70,74,132,184,186,237,238,248,249,310,315,318,
325,326,474,597,598,806,819,820,839,840,841,842,1054,1438,1446,1447,1979],[1,
3,7,10,23,30,32,55,57,70,74,138,181,184,186,236,237,238,249,311,315,317,325,
326,494,591,597,808,817,819,820,838,839,840,842,1076,1439,1444,1446,1980],[1,
3,7,10,23,30,32,33,55,57,70,74,138,181,182,184,186,311,315,317,318,325,326,
494,495,808,817,818,819,820,1077,1439,1440,1981],[1,3,7,10,23,30,32,55,57,70,
74,138,181,184,186,237,311,315,317,325,326,494,592,808,817,819,820,839,1078,
1439,1445,1982],[1,3,7,10,23,30,32,55,57,70,74,138,181,184,186,248,311,315,
317,325,326,494,598,808,817,819,820,841,1079,1439,1447,1983],[1,3,7,10,24,30,
32,55,57,70,74,146,181,186,236,237,238,313,315,317,325,326,510,591,592,815,
817,820,838,839,840,1101,1442,1444,1445,1984],[1,3,4,7,10,25,30,31,38,55,57,
70,73,74,150,184,186,207,237,238,248,249,314,315,316,324,325,326,522,597,598,
614,616,816,819,820,837,839,840,841,842,1112,1443,1446,1447,1484,1485,1985],[
1,3,5,6,13,21,23,24,26,27,28,29,41,42,47,49,81,83,84,123,124,125,136,137,143,
144,154,155,157,159,170,320,333,339,340,438,441,443,480,481,497,498,825,827,
828,849,997,1449,1455,1456,1986],[1,3,5,6,13,21,23,24,26,27,28,29,43,44,48,81,
83,84,123,124,125,136,137,143,144,156,158,160,161,320,333,341,342,438,442,444,
482,483,499,500,825,827,828,850,998,1449,1457,1458,1987],[1,3,5,6,7,8,13,21,
23,24,26,27,28,29,30,32,34,35,45,50,51,81,83,84,86,87,88,89,123,124,125,126,
128,136,137,138,140,141,142,143,144,146,147,148,162,164,171,173,175,176,179,
320,333,334,335,344,345,350,351,438,439,440,445,449,484,486,491,492,502,507,
825,827,828,829,831,832,833,851,999,1449,1450,1451,1459,1461,1466,1467,1988],[
1,3,5,6,8,13,21,23,24,26,27,28,29,34,35,42,46,49,52,53,81,83,84,88,89,123,124,
125,128,136,137,141,142,143,144,147,148,157,159,166,168,170,174,177,178,180,
320,333,335,347,348,352,438,440,443,447,450,487,488,493,503,504,508,825,827,
828,832,833,853,1000,1449,1451,1462,1463,1468,1989],[1,3,5,6,13,21,23,24,26,
27,28,29,43,44,54,81,83,84,123,124,125,136,137,143,144,158,161,167,169,320,
333,346,349,438,444,448,489,490,505,506,825,827,828,852,1001,1449,1464,1465,
1990],[1,3,4,5,6,13,22,23,25,26,28,36,37,41,42,44,48,49,82,83,129,130,131,136,
149,154,156,157,158,197,199,204,320,336,339,342,460,463,465,480,482,513,515,
826,827,854,1028,1452,1455,1457,1991],[1,3,4,5,6,13,22,23,25,26,27,28,29,36,
37,42,43,44,47,82,83,84,129,130,131,136,137,149,155,159,160,161,170,198,199,
320,336,340,341,460,464,466,481,483,514,516,826,827,828,855,1029,1452,1456,
1458,1992],[1,3,4,5,6,7,8,13,22,23,25,26,28,30,31,33,34,36,37,38,39,40,45,50,
82,83,85,86,88,129,130,131,132,135,136,138,139,141,149,150,151,152,162,163,
165,175,189,200,205,320,336,337,338,343,344,460,461,462,467,471,484,485,517,
826,827,829,830,832,856,1030,1452,1453,1454,1459,1460,1993],[1,3,4,5,6,8,13,
22,23,25,26,28,34,36,37,42,44,46,49,52,54,82,83,88,129,130,131,136,141,149,
157,158,166,169,177,201,202,206,320,336,346,347,460,465,469,487,489,518,520,
826,827,832,857,1031,1452,1462,1464,1994],[1,3,4,5,6,8,13,22,23,25,26,28,29,
35,36,37,43,44,46,53,82,83,89,129,130,131,136,142,149,159,161,167,168,178,202,
203,320,336,348,349,460,466,470,488,490,519,521,826,827,833,858,1032,1452,
1463,1465,1995],[1,3,5,6,7,8,13,23,26,28,30,34,41,42,45,46,49,50,52,83,86,88,
136,138,141,154,157,162,166,175,177,213,214,224,320,339,344,347,480,484,487,
528,540,827,829,832,860,1058,1455,1459,1462,1996],[1,3,4,5,6,13,23,25,26,28,
33,36,37,41,42,44,49,54,83,85,136,139,149,151,154,157,158,165,169,197,199,206,
320,339,343,346,480,485,489,513,518,531,543,827,830,859,1059,1455,1460,1464,
1997],[1,3,5,6,7,8,13,23,24,26,28,29,32,35,41,42,45,46,49,51,53,83,87,89,136,
140,142,143,147,154,157,159,164,168,176,178,213,215,320,339,345,348,480,486,
488,497,503,530,542,827,831,833,861,1060,1455,1461,1463,1998],[1,3,5,6,7,8,13,
23,26,27,28,29,30,34,35,42,45,46,47,50,51,52,53,83,84,86,88,89,136,137,138,
141,142,155,159,162,166,168,170,171,174,175,178,179,180,193,215,222,320,340,
344,348,350,352,481,484,488,491,493,532,547,568,827,828,829,832,833,863,1061,
1456,1459,1463,1466,1468,1999],[1,3,4,5,6,13,23,25,26,27,28,29,33,36,37,42,43,
44,47,83,84,85,136,137,139,149,151,155,159,161,165,167,170,198,199,320,340,
343,349,481,485,490,514,519,535,548,827,828,830,862,1062,1456,1460,1465,
2000],[1,3,5,6,7,8,13,23,24,26,27,28,29,32,34,35,42,45,46,47,49,50,51,52,53,
83,84,87,88,89,136,137,140,141,142,143,144,147,148,155,157,159,164,166,170,
173,174,176,177,178,180,214,215,222,320,340,345,347,351,352,481,486,487,492,
493,498,504,508,534,542,569,827,828,831,832,833,864,1063,1456,1461,1462,1467,
1468,2001],[1,3,5,6,7,8,13,23,26,28,30,34,44,45,48,50,54,83,86,88,136,138,141,
156,158,162,167,169,175,196,217,223,320,342,344,346,482,484,489,536,544,827,
829,832,869,1064,1457,1459,1464,2002],[1,3,4,5,6,8,13,23,25,26,28,33,34,36,37,
42,44,46,48,49,52,83,85,88,136,139,141,149,151,156,157,158,165,166,177,201,
202,204,320,342,343,347,482,485,487,515,520,539,543,827,830,832,868,1065,1457,
1460,1462,2003],[1,3,5,6,7,8,13,23,24,26,28,29,32,35,43,44,45,48,51,83,87,89,
136,140,142,143,147,156,158,161,164,167,176,216,217,320,342,345,349,482,486,
490,499,505,538,546,827,831,833,870,1066,1457,1461,1465,2004],[1,3,5,6,7,8,13,
23,26,28,30,34,43,44,45,50,83,86,88,136,138,141,160,161,162,167,175,216,320,
341,344,349,483,484,490,549,827,829,832,866,1067,1458,1459,1465,2005],[1,3,4,
5,6,8,13,23,25,26,28,29,33,35,36,37,43,44,46,53,83,85,89,136,139,142,149,151,
159,160,161,165,168,178,202,203,320,341,343,348,483,485,488,516,521,548,552,
827,830,833,865,1068,1458,1460,1463,2006],[1,3,5,6,7,8,13,23,24,26,28,29,32,
35,43,44,45,51,54,83,87,89,136,140,142,143,147,158,160,161,164,169,176,216,
217,320,341,345,346,483,486,489,500,506,546,551,827,831,833,867,1069,1458,
1461,1464,2007],[1,2,3,4,5,6,10,14,15,16,17,18,23,26,28,36,41,42,43,44,49,70,
72,73,92,94,96,104,114,115,116,136,154,157,160,161,197,198,309,311,312,353,
372,383,385,413,414,480,483,800,834,871,872,925,1469,1472,1474,2008],[1,3,4,5,
6,10,22,23,25,26,28,36,37,41,42,44,48,49,70,73,129,130,131,136,149,154,156,
157,158,197,199,204,310,311,314,353,460,463,465,480,482,513,515,804,834,872,
1028,1469,1473,1475,2009],[1,3,5,6,7,8,10,23,26,28,30,34,41,42,45,46,49,50,52,
70,74,136,138,141,154,157,162,166,175,177,213,214,224,311,315,353,480,484,487,
528,540,808,834,873,1058,1469,1476,2010],[1,2,3,4,5,6,10,15,16,18,23,26,28,31,
36,39,41,42,43,44,49,70,72,73,104,107,111,114,116,136,154,157,161,163,167,197,
198,201,311,312,316,353,413,417,421,480,490,529,541,809,834,871,872,984,1469,
1474,1477,2011],[1,3,4,5,6,10,23,25,26,28,33,36,37,41,42,44,49,54,70,73,136,
139,149,151,154,157,158,165,169,197,199,206,311,314,318,353,480,485,489,513,
518,531,543,810,834,872,1059,1469,1475,1479,2012],[1,3,5,6,7,8,10,23,24,26,28,
29,32,35,41,42,45,46,49,51,53,70,74,136,140,142,143,147,154,157,159,164,168,
176,178,213,215,311,313,317,353,480,486,488,497,503,530,542,811,834,873,1060,
1469,1471,1478,2013],[1,3,4,5,6,12,22,23,25,26,28,36,37,41,42,44,48,49,78,129,
130,131,136,149,154,156,157,158,197,199,204,319,355,358,460,463,465,480,482,
513,515,822,876,882,1028,1470,2014],[1,3,5,6,7,8,12,23,26,28,30,34,41,42,45,
46,49,50,52,80,136,138,141,154,157,162,166,175,177,213,214,224,319,355,358,
480,484,487,528,540,823,878,884,1058,1470,2015],[1,3,4,5,6,12,23,25,26,28,33,
36,37,41,42,44,49,54,79,136,139,149,151,154,157,158,165,169,197,199,206,319,
355,358,480,485,489,513,518,531,543,824,877,883,1059,1470,2016],[1,3,7,12,23,
30,32,55,57,80,138,181,184,186,236,237,238,249,319,360,494,591,597,823,891,
893,894,1076,2017],[1,3,7,13,23,30,32,55,57,86,138,181,184,186,236,237,238,
249,320,359,494,591,597,829,887,895,1076,2018],[1,3,7,8,12,23,30,35,56,58,59,
80,138,183,185,187,243,244,245,247,252,253,319,361,496,596,601,602,823,892,
896,897,1083,2019],[1,2,3,4,5,6,10,14,16,17,24,25,26,29,36,37,41,42,43,44,70,
72,73,93,94,97,114,115,143,149,154,158,159,160,197,199,309,313,314,353,378,
383,386,497,500,513,516,801,834,871,872,935,1471,1472,1475,2020],[1,2,3,4,5,6,
10,15,16,18,22,24,26,29,36,41,42,43,44,48,70,72,73,103,104,106,114,116,130,
143,154,156,159,161,197,198,310,312,313,353,409,413,416,463,466,497,499,805,
834,871,872,979,1471,1473,1474,2021],[1,2,3,4,5,6,10,15,16,18,24,26,29,33,36,
41,42,43,44,54,70,72,73,104,109,113,114,116,143,154,159,161,165,169,197,198,
312,313,318,353,413,419,423,497,506,531,548,813,834,871,872,986,1471,1474,
1479,2022],[1,3,4,5,6,10,24,25,26,29,31,36,37,39,41,42,44,70,73,143,145,149,
153,154,158,159,163,167,197,199,201,313,314,316,353,497,501,505,513,519,529,
545,814,834,872,1085,1471,1475,1477,2023],[1,3,5,6,7,8,10,24,26,29,30,34,41,
42,45,46,50,52,70,74,143,146,148,154,159,162,166,179,180,213,214,313,315,353,
497,502,504,528,547,815,834,873,1086,1471,1476,2024],[1,2,3,4,5,6,7,8,10,14,
15,16,17,18,19,20,26,30,31,34,36,39,41,42,43,44,45,46,50,52,70,72,73,74,94,98,
100,104,110,114,115,116,117,118,120,154,160,161,162,163,166,167,197,198,201,
203,213,214,216,309,312,315,316,323,353,383,387,389,413,420,431,432,528,529,
549,550,802,834,871,872,873,945,1472,1474,1476,1477,1494,2025],[1,2,3,5,6,7,8,
10,14,16,17,26,32,33,35,41,42,43,45,46,51,53,54,70,72,74,94,99,101,114,115,
121,154,160,164,165,168,169,213,215,309,317,318,353,383,388,390,530,531,551,
552,803,834,871,873,946,1472,1478,1479,2026],[1,3,5,6,7,8,10,22,26,30,33,34,
41,42,45,46,48,50,52,54,70,74,130,132,135,154,156,162,165,166,169,196,213,214,
223,310,315,318,353,463,467,469,528,531,536,539,806,834,873,1036,1473,1476,
1479,2027],[1,3,4,5,6,7,8,10,22,26,31,32,35,36,39,41,42,44,45,46,48,51,53,70,
73,74,130,133,134,154,156,163,164,167,168,197,201,210,213,215,310,316,317,353,
463,468,470,529,530,537,538,807,834,872,873,1037,1473,1477,1478,2028],[1,2,3,
4,5,6,7,8,10,15,16,18,19,20,25,26,32,35,36,37,38,40,41,42,43,44,45,46,51,53,
70,72,73,74,104,108,112,114,116,117,118,122,149,154,158,161,164,168,197,198,
199,200,202,203,213,215,216,217,312,314,317,323,324,353,413,418,422,431,433,
513,521,530,546,604,605,812,834,871,872,873,985,1474,1475,1478,1494,1495,
2029],[1,3,4,5,6,7,8,10,25,26,30,31,34,36,37,38,39,40,41,42,44,45,46,50,52,70,
73,74,149,150,152,154,158,162,163,166,167,189,197,199,200,201,202,205,213,214,
217,314,315,316,324,353,513,517,520,528,529,544,562,604,606,816,834,872,873,
1103,1475,1476,1477,1495,2030],[1,3,5,6,7,8,10,26,30,32,34,35,41,42,45,46,50,
51,52,53,55,56,59,70,74,154,162,164,166,168,181,183,191,194,213,214,215,218,
219,225,226,228,235,315,317,325,353,528,530,553,555,564,622,624,817,834,873,
1116,1476,1478,1496,2031],[1,3,5,6,7,8,10,26,30,33,34,41,42,45,46,50,52,54,70,
74,154,162,165,166,169,182,192,195,213,214,227,315,318,353,528,531,554,556,
566,818,834,873,1117,1476,1479,2032],[1,3,5,6,7,8,10,26,30,34,41,42,45,46,50,
52,57,58,70,74,154,162,166,184,185,213,214,220,221,229,230,315,326,353,528,
557,558,623,625,819,834,873,1118,1476,1497,2033],[1,3,5,6,7,8,10,26,30,34,41,
42,45,46,50,52,55,56,57,58,59,70,74,154,162,166,186,187,213,214,218,219,220,
221,231,232,233,234,315,325,326,353,528,559,560,622,623,626,627,820,834,873,
1119,1476,1496,1497,2034],[1,3,4,5,6,7,8,10,26,31,32,33,35,36,39,41,42,44,45,
46,51,53,54,70,73,74,154,163,164,165,167,168,169,188,190,197,201,211,212,213,
215,316,317,318,353,529,530,531,561,563,565,567,821,834,872,873,1120,1477,
1478,1479,2035],[1,4,5,7,8,10,36,38,40,41,44,45,46,57,58,73,74,197,200,202,
207,208,213,217,220,221,324,326,353,604,607,608,623,628,837,872,873,1179,1495,
1497,2036],[1,5,7,8,10,41,45,46,55,56,59,74,213,218,219,236,239,243,325,353,
622,629,632,838,873,1191,1496,2037],[1,5,7,8,10,41,45,46,55,56,57,58,59,74,
213,218,219,220,221,237,240,246,247,325,326,353,622,623,630,633,636,839,873,
1192,1496,1497,2038],[1,5,7,8,10,41,45,46,55,56,57,58,59,74,213,218,219,220,
221,238,241,242,244,245,325,326,353,622,623,631,634,635,840,873,1193,1496,
1497,2039],[1,5,7,8,10,41,45,46,57,58,74,213,220,221,248,251,326,353,623,637,
638,841,873,1194,1497,2040],[1,5,7,8,10,41,45,46,57,58,74,213,220,221,249,250,
252,253,326,353,623,639,640,842,873,1195,1497,2041],[1,3,5,6,7,8,13,26,30,34,
41,42,45,46,50,52,55,56,57,58,59,81,83,84,154,162,166,186,187,213,214,218,219,
220,221,231,232,233,234,333,339,340,359,528,559,560,622,623,626,627,849,879,
885,886,1119,1499,1501,1502,2042],[1,5,7,8,13,41,45,46,55,56,59,83,86,88,213,
218,219,236,239,243,339,344,347,359,622,629,632,860,879,887,889,1191,1499,
1503,1505,2043],[1,5,7,8,13,41,45,46,55,56,57,58,59,83,87,89,213,218,219,220,
221,238,241,242,244,245,339,345,348,359,622,623,631,634,635,861,879,888,890,
1193,1499,1504,1506,2044],[1,5,7,8,12,41,45,46,55,56,59,80,213,218,219,236,
239,243,355,360,361,622,629,632,878,891,892,1191,1500,2045],[1,5,7,8,12,41,45,
46,57,58,80,213,220,221,249,250,252,253,355,623,639,640,878,893,896,1195,
2046],[1,5,7,8,12,41,45,46,57,58,80,213,220,221,249,250,252,253,355,623,639,
640,878,894,897,1195,2047],[1,5,7,8,13,41,45,46,57,58,83,86,88,213,220,221,
249,250,252,253,339,344,347,623,639,640,860,895,1195,1507,2048],[1,3,5,6,7,8,
13,26,30,32,34,35,45,50,51,55,56,57,58,81,83,84,86,87,88,89,162,164,181,183,
186,187,191,218,220,225,231,232,236,237,238,239,240,241,242,246,333,334,335,
344,345,350,351,359,553,559,591,593,595,629,630,631,646,648,649,851,879,885,
886,887,888,889,890,1142,1501,1503,1504,1510,1511,1512,1513,2049],[1,3,5,6,7,
8,13,26,30,34,35,45,46,50,53,55,56,57,58,59,81,83,84,88,89,162,168,183,186,
187,194,218,219,220,221,226,228,231,232,233,234,239,241,242,243,244,245,246,
247,333,335,347,348,352,359,555,559,560,595,596,632,634,635,636,654,655,656,
657,853,879,885,886,889,890,1146,1501,1505,1506,1511,1514,1515,2050],[1,5,6,7,
8,13,42,45,46,50,51,52,53,55,56,58,59,83,84,86,88,89,214,215,218,219,221,225,
226,228,231,233,234,235,236,239,240,241,244,245,247,340,344,348,350,352,359,
624,626,629,633,634,646,650,653,654,656,863,879,886,887,889,890,1196,1502,
1503,1506,1512,1514,1515,2051],[1,5,6,7,8,13,42,45,46,50,51,52,53,55,56,57,58,
59,83,84,87,88,89,214,215,218,219,220,221,225,226,228,231,232,233,234,235,238,
239,241,242,243,244,245,246,247,340,345,347,351,352,359,624,626,627,631,632,
634,636,648,652,654,655,656,657,864,879,886,888,889,890,1198,1502,1504,1505,
1513,1514,1515,2052],[1,4,5,7,8,13,36,38,40,45,57,58,82,83,85,86,88,200,207,
208,220,248,249,250,336,337,338,343,344,607,616,617,637,639,856,895,1183,1507,
1518,2053],[1,5,7,8,13,44,45,57,58,83,86,88,217,220,249,250,251,342,344,346,
628,638,639,869,895,1207,1507,2054],[1,6,7,8,12,47,50,51,52,53,55,56,58,59,80,
222,225,231,235,236,240,241,357,360,361,641,646,651,891,1208,1508,2055],[1,6,
7,8,12,49,50,51,55,56,58,59,80,224,225,230,231,233,234,236,240,241,243,247,
252,253,358,360,361,643,646,652,666,668,884,891,892,896,897,1214,2056],[1,6,7,
8,12,49,50,53,56,57,58,59,80,224,226,229,232,234,242,243,245,246,249,252,358,
361,644,655,661,663,884,892,894,896,1218,2057],[1,6,7,8,12,49,50,53,56,57,58,
59,80,224,228,229,232,233,242,243,244,246,249,253,358,361,645,657,661,664,884,
892,893,897,1221,2058],[1,2,3,9,10,11,12,13,14,61,62,63,64,67,70,71,72,75,254,
255,256,257,258,264,265,309,670,671,672,673,674,675,677,678,687,689,898,1222,
1234,1238,1521,1522,1523,2059],[1,2,3,9,10,11,12,13,14,61,63,64,70,72,75,81,
254,255,256,257,258,265,309,671,672,673,674,679,687,691,898,1229,1234,1521,
1524,2060],[1,2,3,4,9,10,11,12,13,15,61,63,64,67,68,70,71,72,73,75,76,79,85,
254,255,256,257,258,268,279,312,321,671,672,673,674,675,676,677,678,683,687,
688,693,697,898,1232,1235,1237,1246,1521,1522,1526,2061],[1,3,9,10,11,12,13,
23,64,67,70,71,81,254,255,256,257,258,282,311,673,675,677,678,679,691,898,
1236,1244,1522,1524,2062],[1,2,3,4,9,10,11,12,13,15,61,62,64,68,70,72,73,76,
79,81,85,254,255,256,257,258,268,274,312,670,673,674,676,679,683,688,689,691,
693,697,898,1225,1237,1284,1523,1524,1526,2063],[1,2,4,7,9,10,11,12,13,19,61,
62,72,73,74,77,78,80,82,86,87,254,255,256,257,258,272,276,323,670,674,680,684,
689,690,692,694,695,696,698,898,1227,1283,1285,1523,1525,1527,2064],[1,3,9,10,
11,12,13,24,64,70,81,254,255,256,257,258,313,673,679,691,898,1247,1524,2065],[
1,3,4,9,10,11,12,13,25,64,70,73,77,78,81,82,254,255,256,257,258,314,327,673,
679,680,690,691,692,696,898,1248,1286,1524,1525,2066],[1,3,7,9,10,11,12,13,32,
64,70,74,80,81,86,87,254,255,256,257,258,317,334,673,679,684,691,694,695,698,
898,1251,1288,1524,1527,2067],[1,3,9,10,11,12,13,33,64,70,81,254,255,256,257,
258,318,673,679,691,898,1252,1524,2068],[1,4,7,9,10,11,12,13,38,68,73,74,76,
77,78,79,80,82,85,86,87,254,255,256,257,258,324,330,332,337,676,680,683,684,
688,690,692,693,694,695,696,697,698,898,1257,1287,1289,1291,1525,1526,1527,
2069],[1,3,9,10,11,12,13,21,67,70,71,254,255,256,257,258,294,303,304,305,306,
307,308,675,898,1239,1275,1276,1278,1279,1280,1281,2070],[1,5,9,10,11,12,13,
41,65,83,254,255,256,257,258,284,339,353,354,355,681,898,1259,1273,1274,1292,
1293,2071],[1,5,7,8,45,55,56,90,218,236,239,362,629,1529,2072],[1,2,5,9,16,41,
43,60,63,65,114,259,261,278,284,287,364,699,706,709,744,902,903,1294,1530,
1533,1534,2073],[1,2,3,4,5,6,9,15,16,18,26,36,60,63,65,67,68,69,104,259,260,
261,262,263,278,279,280,288,289,364,699,700,701,703,708,746,902,903,904,905,
906,1295,1530,1531,1532,1535,1536,2074],[1,2,5,6,9,16,42,44,60,63,65,69,116,
259,261,262,278,290,291,364,699,707,710,747,902,903,906,1296,1530,1537,1538,
2075],[1,2,3,4,9,15,22,29,60,63,67,68,106,259,260,263,279,297,299,364,700,702,
705,750,902,904,905,1298,1531,1539,1541,2076],[1,2,3,4,9,15,22,24,60,63,67,68,
103,259,260,263,279,298,299,364,700,702,704,751,902,904,905,1297,1531,1540,
1541,2077],[1,3,5,6,9,26,41,42,60,65,67,69,154,260,261,262,284,288,290,364,
703,706,707,760,903,904,906,1300,1533,1535,1537,2078],[1,4,5,9,36,41,44,60,65,
68,197,261,263,284,289,291,364,706,708,710,761,903,905,1305,1533,1536,1538,
2079],[1,3,5,6,9,26,43,44,60,65,67,69,161,260,261,262,287,288,291,364,703,709,
710,765,903,904,906,1303,1534,1535,1538,2080],[1,4,5,6,9,36,42,43,60,65,68,69,
198,261,262,263,287,289,290,364,707,708,709,766,903,905,906,1306,1534,1536,
1537,2081],[1,3,5,6,9,24,26,29,60,65,67,69,143,260,261,262,288,297,298,364,
703,704,705,769,903,904,906,1302,1535,1539,1540,2082],[1,3,5,6,9,26,29,60,65,
67,69,159,260,261,262,288,297,364,703,705,772,903,904,906,1304,1535,1539,
2083],[1,3,5,6,9,26,48,60,65,67,69,156,260,261,262,288,302,364,703,711,773,
903,904,906,1301,1535,1542,2084],[1,3,5,6,9,22,26,60,65,67,69,130,260,261,262,
288,299,364,702,703,774,903,904,906,1299,1535,1541,2085],[1,2,3,4,10,15,22,24,
60,70,72,73,103,259,260,263,310,312,313,365,700,702,704,805,907,908,909,1297,
1543,1544,1545,2086],[1,3,5,6,10,26,41,42,60,70,154,260,261,262,353,365,703,
706,707,834,908,1300,1547,2087],[1,3,5,6,11,26,41,42,60,71,154,260,261,262,
354,366,703,706,707,835,911,1300,1548,2088],[1,2,5,10,16,41,43,60,72,114,259,
261,353,365,699,706,709,871,907,1294,1547,2089],[1,4,5,10,36,41,44,60,73,197,
261,263,353,365,706,708,710,872,909,1305,1547,2090],[1,2,5,11,16,41,43,60,75,
114,259,261,354,366,699,706,709,874,910,1294,1548,2091],[1,4,5,11,36,41,44,60,
76,197,261,263,354,366,706,708,710,875,912,1305,1548,2092],[1,2,3,4,9,15,21,
25,60,61,64,68,102,259,260,263,268,303,700,731,1549,2093],[1,2,3,9,14,21,22,
60,61,63,64,91,260,265,303,702,781,1549,2094],[1,3,9,21,23,24,60,64,67,123,
260,282,303,704,782,1549,2095],[1,3,5,6,9,21,26,27,60,64,65,66,124,260,261,
262,281,303,703,783,1549,2096],[1,3,6,9,21,28,29,60,64,66,69,125,260,283,303,
705,784,1549,2097],[1,3,4,13,22,23,25,60,77,81,82,129,260,320,327,702,826,
1550,2098],[1,3,5,6,13,23,26,28,60,81,83,84,136,260,261,262,320,333,703,827,
1550,2099],[1,2,3,4,13,15,23,31,60,62,81,85,107,259,260,263,274,320,700,732,
1550,2100],[1,3,7,13,23,24,32,60,81,86,87,140,260,320,334,704,831,1550,2101],[
1,3,8,13,23,29,35,60,81,88,89,142,260,320,335,705,833,1550,2102],[1,4,10,12,
13,73,77,90,257,363,690,712,713,714,1307,1309,1551,2103],[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,
41,42,43,44,45,46,47,48,49,50,51,52,53,54,91,92,93,94,95,96,97,98,99,100,101,
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,
178,179,180,189,193,196,197,198,199,200,201,202,203,204,205,206,209,210,213,
214,215,216,217,222,223,224,367,368,369,370,371,372,373,374,375,376,377,378,
379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,398,
399,401,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,
422,423,424,425,426,427,428,429,431,432,433,434,438,439,440,441,442,443,444,
445,446,447,448,449,450,460,461,462,463,464,465,466,467,468,469,470,471,480,
481,482,483,484,485,486,487,488,489,490,491,492,493,497,498,499,500,501,502,
503,504,505,506,507,508,513,514,515,516,517,518,519,520,521,528,529,530,531,
532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,
551,552,562,568,569,585,604,605,606,609,913,914,915,916,917,918,919,920,925,
926,927,928,929,930,931,932,935,936,937,938,939,940,945,946,947,948,949,950,
951,952,954,955,957,973,974,975,976,977,979,980,981,982,983,984,985,986,987,
988,989,990,991,992,993,994,995,997,998,999,1000,1001,1005,1006,1007,1008,
1009,1010,1011,1028,1029,1030,1031,1032,1036,1037,1038,1039,1040,1041,1042,
1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1085,1086,1087,
1088,1089,1090,1091,1092,1103,1104,1105,1106,1552,1553,1554,1557,1558,1565,
1566,1567,1568,1576,1577,1583,1585,1591,1593,1604,1605,1606,1607,1608,1609,
1638,1639,2104],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,
29,30,31,32,33,34,35,36,37,38,39,40,45,50,51,55,56,57,58,91,92,93,94,95,96,97,
98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,117,120,122,123,
124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,
143,144,145,146,147,148,149,150,151,152,153,162,163,164,165,171,172,173,175,
176,179,181,182,183,184,185,186,187,188,189,190,191,192,200,205,207,208,218,
220,225,229,231,232,367,368,369,370,371,372,373,374,375,376,377,378,379,380,
381,382,387,388,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,
406,407,408,409,410,411,412,417,418,419,424,425,426,427,428,438,439,440,445,
446,449,451,452,453,454,455,456,457,460,461,462,467,468,471,472,473,474,475,
476,477,478,479,484,485,486,491,492,494,495,496,501,502,507,509,510,511,512,
517,522,523,524,525,553,554,557,559,561,570,571,574,577,578,579,581,587,607,
610,913,914,915,918,920,921,922,923,924,927,928,931,932,933,934,937,940,941,
942,943,944,952,953,954,959,961,962,963,964,965,966,969,970,971,972,975,981,
999,1002,1003,1004,1012,1013,1014,1015,1021,1022,1023,1030,1033,1034,1035,
1043,1044,1045,1051,1052,1053,1070,1071,1074,1093,1094,1099,1107,1553,1555,
1556,1559,1560,1563,1564,1569,1571,1578,1579,1582,1610,1611,1640,2105],[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,
36,37,38,39,40,42,44,45,46,47,48,50,51,52,53,54,56,58,59,91,92,93,94,95,96,97,
98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,116,117,118,119,
120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,
139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,155,156,158,159,
162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,178,179,180,183,
185,187,189,191,193,194,195,196,199,200,202,205,209,210,211,212,215,217,219,
221,222,223,226,227,228,230,233,234,235,367,368,369,370,371,372,373,374,375,
376,377,378,379,380,381,382,384,386,387,388,389,390,391,392,393,394,395,396,
398,399,401,405,406,407,408,409,410,411,412,415,416,417,418,419,422,423,424,
425,426,427,428,429,430,433,434,435,436,437,438,439,440,445,446,447,448,449,
455,456,458,459,460,461,462,467,468,469,470,471,481,482,484,485,486,488,489,
491,492,493,496,501,502,507,511,512,517,526,527,532,533,536,537,544,545,547,
555,556,558,560,562,563,564,565,566,567,568,572,573,575,576,580,582,583,584,
588,589,608,611,612,613,913,914,915,918,919,920,926,927,928,930,931,932,937,
940,947,951,952,954,955,956,957,958,960,967,968,975,978,981,990,993,996,999,
1004,1016,1017,1018,1019,1020,1024,1030,1046,1047,1048,1049,1050,1061,1064,
1072,1073,1075,1095,1096,1097,1098,1100,1108,1109,1110,1111,1553,1561,1562,
1567,1570,1580,1581,1587,1589,1595,1597,1612,1613,1641,1642,2106],[1,2,3,4,7,
14,15,19,21,22,23,24,25,30,31,32,33,38,55,57,91,92,93,98,99,102,103,107,108,
109,123,126,127,129,132,133,138,139,140,145,146,150,181,182,184,186,188,207,
236,237,238,248,249,367,370,374,375,380,396,397,398,402,406,410,439,451,452,
453,454,461,472,473,474,494,495,509,510,522,591,592,597,598,614,616,914,921,
922,933,941,942,1002,1003,1026,1033,1054,1076,1077,1078,1079,1101,1112,1555,
1572,1573,1614,1615,1643,1644,2107],[1,2,3,4,7,8,14,15,19,21,22,23,24,25,30,
31,32,33,35,38,55,56,57,58,91,92,93,98,99,101,102,103,107,108,109,123,126,127,
129,132,133,138,139,140,145,146,150,181,182,183,184,185,186,187,188,190,207,
239,240,241,242,246,248,250,367,370,374,375,380,396,397,398,400,402,403,406,
410,439,451,452,453,454,461,472,473,474,494,495,496,509,510,522,593,594,595,
598,599,600,615,617,914,921,922,933,934,941,942,1002,1003,1027,1033,1055,1077,
1079,1080,1081,1082,1102,1113,1555,1574,1575,1615,1616,1645,1646,2108],[1,2,3,
4,5,6,7,8,14,15,16,17,18,19,20,21,22,25,26,27,30,31,32,33,34,35,36,37,38,39,
40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,59,91,94,95,98,99,100,101,102,
104,105,108,110,112,114,115,116,117,118,119,120,121,122,124,126,127,128,130,
132,133,134,135,149,150,152,154,155,156,158,160,161,162,163,164,165,166,167,
168,169,171,172,173,174,181,182,183,188,189,190,191,192,193,194,195,196,197,
198,199,200,201,202,203,205,209,210,211,212,213,214,215,216,217,218,219,222,
223,225,226,227,228,235,368,370,371,383,384,387,388,389,390,391,392,396,397,
399,400,404,405,407,413,415,418,420,422,425,429,430,431,432,433,434,435,436,
441,442,444,445,446,447,448,451,452,454,455,457,458,459,463,464,467,468,469,
470,472,475,476,479,513,514,517,520,521,524,526,527,528,529,530,531,532,533,
534,535,536,537,538,539,544,546,549,550,551,552,553,554,555,556,561,562,563,
564,565,566,567,570,572,574,575,576,604,605,606,611,612,613,622,624,641,916,
918,919,921,923,945,946,947,948,952,953,955,956,960,961,962,973,976,978,985,
991,996,1005,1006,1007,1008,1011,1012,1013,1015,1016,1017,1019,1020,1036,1037,
1038,1039,1043,1046,1047,1050,1103,1104,1108,1109,1116,1117,1120,1121,1122,
1124,1125,1126,1129,1137,1138,1141,1557,1559,1561,1583,1584,1587,1588,1617,
1618,1620,1621,1622,1631,1648,1651,2109],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,
20,21,22,24,26,27,29,30,31,32,33,34,35,36,39,41,42,43,44,45,46,47,48,50,51,52,
53,54,57,58,91,94,95,98,99,100,101,103,104,106,109,110,113,114,115,116,117,
118,119,120,121,124,126,127,128,130,132,133,134,135,143,146,148,154,155,156,
159,160,161,162,163,164,165,166,167,168,169,171,172,173,174,179,180,182,184,
185,192,193,195,196,197,198,201,203,209,210,213,214,215,216,220,221,222,223,
227,229,230,368,370,371,383,384,387,388,389,390,391,392,398,401,402,403,409,
411,413,416,419,420,423,429,431,432,434,437,441,442,445,446,447,448,453,454,
456,459,463,464,466,467,468,469,470,473,474,476,477,478,497,499,502,504,506,
511,528,529,530,531,532,533,534,535,536,537,538,539,547,548,549,550,551,552,
554,556,557,558,566,571,573,576,590,623,625,642,916,918,919,922,924,945,946,
947,948,954,957,958,959,963,964,979,982,986,995,1005,1006,1007,1008,1014,1015,
1018,1019,1036,1037,1038,1039,1042,1044,1045,1046,1048,1049,1086,1090,1095,
1097,1117,1118,1123,1124,1127,1128,1139,1140,1557,1560,1562,1585,1586,1589,
1590,1619,1620,1623,1624,1649,1650,1652,1653,2110],[1,2,3,4,5,6,7,8,14,15,16,
17,18,19,20,21,22,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,
48,49,50,51,52,54,55,56,58,91,94,95,98,99,100,101,102,104,105,108,110,112,115,
116,117,120,122,124,125,126,127,128,130,132,133,134,135,149,150,152,156,157,
158,159,160,161,162,163,164,165,167,169,170,171,172,173,175,176,177,178,179,
180,181,182,183,185,188,189,190,191,192,195,196,198,200,201,204,205,206,214,
216,217,218,221,223,224,225,227,230,231,233,234,368,370,371,385,386,387,388,
391,392,396,397,399,400,404,405,407,414,416,418,421,423,425,432,437,442,443,
444,445,446,448,449,450,451,452,454,455,456,457,459,465,466,467,468,472,475,
476,479,515,516,517,518,519,524,536,538,540,541,542,543,544,545,546,547,548,
549,551,553,554,556,558,561,565,568,569,570,573,574,576,577,580,585,586,587,
588,589,590,608,609,626,643,917,918,921,923,949,950,951,952,953,957,958,961,
962,974,977,988,994,1007,1009,1010,1011,1012,1013,1015,1017,1018,1019,1021,
1024,1025,1040,1041,1042,1043,1048,1049,1105,1106,1110,1111,1126,1127,1130,
1131,1134,1136,1137,1140,1152,1154,1558,1559,1562,1591,1592,1595,1596,1621,
1623,1625,1626,1628,1629,1654,1657,2111],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,
20,21,22,24,26,27,28,29,30,31,32,33,34,35,36,39,42,43,44,45,46,47,49,50,51,52,
53,54,56,57,58,59,91,94,95,98,99,100,101,103,104,106,109,110,113,115,116,117,
118,120,121,124,125,126,127,128,130,132,133,134,135,143,144,146,147,148,155,
157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,
176,177,178,179,180,182,183,184,185,191,192,193,194,195,198,199,201,202,211,
212,214,215,216,217,219,220,222,224,226,227,228,229,232,233,234,235,368,370,
371,385,386,387,388,389,390,391,392,398,401,402,403,409,411,414,415,419,421,
422,430,432,433,435,436,443,444,445,446,447,448,449,450,453,454,455,456,458,
464,465,466,467,468,469,470,473,474,476,477,478,498,500,502,503,505,507,508,
511,512,532,535,540,541,542,543,544,545,546,547,548,549,552,554,555,556,557,
562,563,564,565,566,567,568,569,571,572,573,575,579,580,586,588,627,628,644,
645,917,918,919,922,924,949,950,951,954,955,956,959,960,963,964,980,983,989,
992,1009,1010,1011,1014,1015,1016,1017,1020,1023,1024,1038,1040,1041,1042,
1044,1045,1046,1047,1048,1050,1088,1092,1096,1098,1100,1122,1123,1131,1132,
1134,1135,1138,1139,1153,1558,1560,1561,1593,1594,1597,1598,1627,1628,1630,
1631,1653,1655,1656,1658,2112],[1,2,3,4,6,7,8,14,15,17,18,19,21,22,25,28,29,
30,31,32,33,38,39,50,53,54,55,56,58,91,96,97,98,99,102,106,108,111,113,120,
121,125,126,127,131,132,133,150,151,153,175,176,179,181,182,185,187,188,208,
211,226,227,230,231,233,239,240,241,244,247,251,252,369,370,393,394,395,396,
397,401,403,408,428,435,437,449,451,452,454,456,471,472,477,478,523,525,577,
578,582,583,587,593,594,601,603,618,621,654,668,920,921,924,965,967,969,970,
1021,1022,1027,1051,1056,1114,1161,1162,1163,1166,1167,1177,1563,1599,1600,
1635,1636,1661,1662,2113],[1,2,3,4,6,7,8,14,15,17,18,19,21,22,25,28,29,30,31,
32,33,38,39,50,53,54,55,56,58,91,96,97,98,99,102,106,108,111,113,120,121,125,
126,127,131,132,133,150,151,153,175,176,179,181,182,185,187,188,208,212,227,
228,230,231,234,239,240,241,245,247,251,253,369,370,393,394,395,396,397,401,
403,408,428,436,437,449,451,452,454,456,471,472,477,478,523,525,577,578,583,
584,587,593,594,602,603,619,620,656,666,920,921,924,965,968,969,970,1021,1022,
1027,1051,1057,1115,1162,1164,1165,1166,1168,1178,1563,1601,1602,1636,1637,
1663,1664,2114],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,20,23,26,28,30,31,32,33,34,
35,36,39,41,42,43,44,45,46,49,50,51,52,53,54,55,56,57,58,59,92,94,96,98,99,
100,101,104,107,110,111,114,115,116,117,118,120,121,136,138,141,154,157,160,
161,162,163,164,165,166,167,168,169,175,177,181,182,183,184,185,186,187,188,
190,191,192,194,195,197,198,201,203,211,212,213,214,215,216,218,219,220,221,
224,225,226,227,228,229,230,231,232,233,234,235,372,374,376,383,385,387,388,
389,390,393,397,400,402,403,404,413,414,417,420,421,430,431,432,435,436,437,
480,483,484,487,490,494,495,496,528,529,530,531,540,541,549,550,551,552,553,
554,555,556,557,558,559,560,561,563,564,565,566,567,577,578,579,580,581,582,
583,584,586,622,623,624,625,626,627,643,644,645,925,927,929,933,934,945,946,
949,953,956,958,959,960,965,966,967,968,984,987,1058,1067,1070,1071,1072,1073,
1116,1117,1118,1119,1120,1130,1131,1132,1133,1137,1138,1139,1140,1141,1565,
1569,1570,1584,1586,1592,1594,1666,1667,1671,1672,2115],[1,2,3,4,5,6,7,8,14,
15,16,17,18,19,20,23,26,27,28,29,30,31,32,33,34,35,36,39,42,44,45,46,47,48,50,
51,52,53,54,55,56,57,58,59,92,94,96,98,99,100,101,104,107,110,111,116,117,118,
119,120,121,136,137,138,141,142,155,156,158,159,162,163,164,165,166,167,168,
169,170,171,173,174,175,178,179,180,181,182,183,184,185,186,187,188,190,191,
192,193,194,196,199,202,209,210,214,215,217,218,219,220,222,223,225,226,228,
229,231,232,235,372,374,376,384,386,387,388,389,390,393,397,400,402,403,404,
415,416,417,422,423,429,433,434,481,482,484,488,489,491,493,494,495,496,532,
533,534,535,536,537,538,539,544,545,547,553,554,557,559,561,562,564,565,566,
567,568,570,571,572,573,575,577,578,579,581,587,588,590,624,628,641,642,926,
927,930,933,934,947,948,951,953,955,957,959,960,965,966,990,993,1061,1064,
1070,1071,1074,1075,1121,1122,1123,1124,1125,1126,1127,1128,1129,1134,1135,
1136,1152,1153,1567,1569,1588,1590,1596,1598,1668,1669,1670,2116],[1,2,3,4,5,
6,7,8,14,15,16,17,18,19,20,23,26,28,30,31,32,33,34,35,36,39,45,50,51,55,56,57,
58,92,94,96,98,99,100,101,104,107,110,111,117,120,136,138,141,162,163,164,165,
175,181,182,183,184,185,186,187,188,190,191,192,218,220,225,229,231,232,236,
237,238,239,240,241,242,246,249,250,372,374,376,387,388,393,397,400,402,403,
404,417,484,494,495,496,553,554,557,559,561,577,578,579,581,591,593,595,597,
599,600,629,630,631,639,646,648,649,658,659,661,927,933,934,953,959,965,966,
1070,1071,1076,1077,1080,1082,1142,1147,1159,1169,1569,1572,1574,1673,1674,
2117],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,20,23,26,28,30,31,32,33,34,35,36,39,
45,50,51,55,56,57,58,92,94,96,98,99,100,101,104,107,110,111,117,120,136,138,
141,162,163,164,165,175,181,182,183,184,185,186,187,188,190,191,192,218,220,
225,229,231,232,237,240,246,248,372,374,376,387,388,393,397,400,402,403,404,
417,484,494,495,496,553,554,557,559,561,577,578,579,581,592,594,598,630,637,
647,660,927,933,934,953,959,965,966,1070,1071,1078,1079,1081,1143,1148,1160,
1170,1569,1573,1575,1675,1676,2118],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,20,23,
26,28,30,31,32,33,34,35,36,39,45,46,50,51,53,54,55,56,57,58,59,92,94,96,98,99,
100,101,104,107,110,111,117,120,121,136,138,141,162,163,164,165,168,169,175,
181,182,183,184,185,186,187,188,190,191,192,194,195,211,212,218,219,220,221,
225,226,227,228,229,230,231,232,233,234,239,240,241,242,243,244,245,246,247,
250,252,253,372,374,376,387,388,390,393,397,400,402,403,404,417,430,435,436,
437,484,494,495,496,553,554,555,556,557,558,559,560,561,563,577,578,579,580,
581,582,583,584,593,595,596,599,600,601,602,632,633,634,635,636,640,650,652,
653,654,655,656,657,662,663,664,666,667,668,669,927,933,934,953,956,958,959,
965,966,967,968,1070,1071,1072,1073,1080,1083,1144,1146,1149,1151,1161,1162,
1164,1167,1168,1171,1172,1173,1174,1569,1570,1599,1601,1603,1677,1678,1681,
2119],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,20,23,26,28,30,31,32,33,34,35,36,39,
45,50,51,55,56,57,58,92,94,96,98,99,100,101,104,107,110,111,117,120,136,138,
141,162,163,164,165,175,181,182,183,184,185,186,187,188,190,191,192,218,220,
221,225,229,231,232,240,247,251,372,374,376,387,388,393,397,400,402,403,404,
417,484,494,495,496,553,554,557,559,561,577,578,579,581,594,603,633,638,651,
665,927,933,934,953,959,965,966,1070,1071,1081,1084,1145,1150,1163,1165,1166,
1569,1600,1602,1679,1680,2120],[1,2,3,4,6,7,8,14,15,18,19,20,22,23,25,27,29,
30,31,32,33,34,35,37,38,40,50,51,55,56,57,58,92,95,97,98,99,100,101,105,106,
107,112,113,122,129,132,133,134,135,137,138,139,142,150,153,171,172,173,179,
181,182,184,186,188,189,190,191,192,207,225,231,236,237,238,240,241,248,249,
373,374,377,391,392,395,397,399,401,402,404,424,427,461,472,474,476,478,479,
491,494,495,522,524,525,570,571,574,587,591,594,597,598,614,616,646,647,931,
933,962,964,970,972,1033,1035,1054,1074,1076,1077,1079,1081,1112,1155,1175,
1571,1572,1575,1643,1645,1682,1683,2121],[1,2,3,4,6,7,8,14,15,18,19,20,22,23,
25,27,29,30,31,32,33,34,35,37,38,40,50,51,55,56,57,58,92,95,97,98,99,100,101,
105,106,107,112,113,122,129,132,133,134,135,137,138,139,142,150,153,171,172,
173,179,181,182,183,184,185,186,187,188,189,190,191,192,207,225,232,237,239,
240,241,242,246,248,250,373,374,377,391,392,395,397,399,400,401,402,403,404,
424,427,461,472,474,476,478,479,491,494,495,496,522,524,525,570,571,574,587,
592,593,595,598,599,600,615,617,647,649,931,933,934,962,964,970,972,1033,1035,
1055,1074,1077,1078,1079,1080,1082,1113,1156,1176,1571,1573,1574,1644,1646,
1683,1684,2122],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,20,21,24,25,26,27,29,30,31,
32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,50,51,52,53,54,57,58,93,94,97,
98,100,102,104,105,108,110,112,114,115,116,117,118,120,122,124,126,127,128,
143,145,146,148,149,150,152,153,154,155,158,159,160,161,162,163,164,165,166,
167,168,169,171,172,173,174,179,180,182,184,185,188,189,190,192,193,195,197,
198,199,200,201,202,203,205,207,208,209,211,212,213,214,215,216,217,220,221,
222,227,229,230,378,380,382,383,386,387,389,395,396,399,402,403,405,407,413,
415,418,420,422,425,431,432,433,437,441,444,445,446,447,448,452,453,456,457,
497,500,501,502,504,505,509,511,513,514,516,517,519,520,521,522,523,524,525,
526,528,529,530,531,532,533,534,535,544,545,546,547,549,550,554,556,557,558,
561,562,563,565,566,567,571,573,574,589,604,605,606,607,608,610,611,623,625,
628,935,937,939,941,943,945,951,952,955,958,959,969,972,973,976,985,991,1005,
1006,1011,1013,1014,1017,1018,1020,1085,1086,1091,1092,1093,1095,1098,1103,
1104,1106,1107,1108,1110,1111,1117,1118,1120,1122,1123,1125,1134,1135,1139,
1140,1179,1180,1576,1578,1580,1583,1586,1595,1598,1618,1619,1629,1630,1687,
1693,1700,1701,2123],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,20,22,24,25,26,29,30,
31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,48,50,51,52,53,54,55,56,59,93,
94,97,98,99,100,101,103,104,106,109,110,113,114,115,116,117,118,120,121,130,
132,133,134,135,143,145,146,148,149,150,152,153,154,156,158,159,160,161,162,
163,164,165,166,167,168,169,179,180,181,182,183,188,189,190,191,192,194,195,
196,197,198,199,200,201,202,203,205,210,211,212,213,214,215,216,217,218,219,
223,225,226,227,228,235,378,380,382,383,386,387,388,389,390,395,397,398,400,
401,404,409,411,413,416,419,420,423,430,431,432,435,436,463,466,467,468,469,
470,472,473,475,478,479,497,499,500,501,502,504,505,506,509,510,512,513,516,
517,519,520,525,527,528,529,530,531,536,537,538,539,544,545,547,548,549,550,
551,552,553,554,555,556,561,562,563,564,565,566,567,587,588,589,590,604,606,
612,613,622,624,935,937,939,942,944,945,946,951,953,954,956,957,960,970,971,
979,982,986,995,1036,1037,1042,1043,1044,1047,1048,1050,1085,1086,1090,1091,
1092,1093,1094,1096,1097,1098,1103,1106,1109,1110,1116,1117,1120,1126,1127,
1129,1134,1136,1137,1138,1141,1576,1579,1581,1584,1585,1596,1597,1648,1649,
1657,1658,1687,1688,1691,1692,2124],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,20,21,
24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,
51,52,53,54,56,57,58,59,93,94,97,98,100,102,104,105,108,110,112,115,116,117,
119,120,121,122,124,125,126,127,128,143,144,145,146,147,148,149,150,152,153,
155,156,157,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,
175,176,177,178,179,180,182,183,184,185,188,189,190,191,192,193,194,195,196,
198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,214,215,216,219,
220,222,223,224,226,227,228,229,232,233,234,235,378,380,382,384,385,387,390,
395,396,399,402,403,405,407,414,416,418,421,423,425,429,430,432,434,435,436,
442,443,445,446,447,448,449,450,452,453,455,456,457,458,459,498,499,501,502,
503,506,507,508,509,511,512,514,515,516,517,518,519,521,522,523,524,525,526,
527,532,533,536,537,538,539,540,541,542,547,549,550,551,552,554,555,556,557,
561,562,563,564,566,567,568,569,571,572,573,574,575,576,579,580,585,586,588,
589,590,605,607,609,610,611,612,613,627,642,644,645,936,937,938,941,943,947,
949,952,956,957,959,969,972,974,977,978,988,994,996,1007,1008,1009,1013,1014,
1016,1019,1020,1023,1024,1025,1087,1088,1089,1090,1093,1096,1097,1100,1104,
1105,1106,1107,1108,1109,1110,1123,1124,1127,1128,1129,1131,1132,1138,1139,
1141,1153,1154,1185,1186,1577,1578,1581,1587,1590,1591,1594,1622,1624,1626,
1627,1689,1691,1701,1702,2125],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,20,22,24,25,
26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,50,51,52,
53,54,55,56,58,59,93,94,97,98,99,100,101,103,104,106,109,110,113,115,116,117,
118,119,120,121,130,132,133,134,135,143,144,145,146,147,148,149,150,152,153,
155,156,157,158,160,161,162,163,164,165,166,167,168,169,170,171,173,174,175,
177,178,179,181,182,183,185,188,189,190,191,192,193,194,195,196,198,199,200,
201,202,203,204,205,206,209,210,211,212,214,215,216,217,218,219,221,222,223,
224,225,226,227,228,230,231,233,234,235,378,380,382,384,385,387,388,389,390,
395,397,398,400,401,404,409,411,414,415,419,421,422,429,432,433,434,437,464,
465,467,468,469,470,472,473,475,478,479,498,499,500,501,502,503,505,506,507,
508,509,510,511,512,514,515,517,518,521,525,526,532,533,534,535,536,537,538,
539,540,541,543,544,549,550,551,552,553,554,556,558,561,562,563,564,565,566,
567,568,570,572,573,575,577,580,585,586,587,605,608,609,611,624,626,641,643,
936,937,938,942,944,947,948,949,953,954,955,958,960,970,971,980,983,989,992,
1038,1039,1040,1043,1044,1046,1049,1050,1087,1088,1089,1090,1092,1093,1094,
1095,1097,1098,1099,1100,1104,1105,1108,1111,1121,1122,1124,1125,1126,1129,
1130,1131,1137,1140,1141,1152,1577,1579,1580,1588,1589,1592,1593,1651,1652,
1654,1655,1689,1690,1692,1693,2126],[1,2,3,4,6,7,8,14,15,17,18,19,20,22,24,25,
27,28,30,31,32,33,34,35,37,38,39,40,50,51,53,54,55,56,58,93,95,96,98,99,100,
101,103,105,109,111,112,120,121,122,131,132,133,134,135,144,145,146,147,150,
151,171,172,173,175,181,182,185,187,188,189,190,191,192,208,211,225,226,227,
230,231,233,239,240,241,244,245,247,251,252,379,380,381,391,392,393,397,398,
399,403,404,412,426,435,437,471,472,473,476,477,479,507,509,510,511,523,524,
570,574,577,578,582,583,593,594,601,603,618,621,650,651,654,668,940,942,943,
962,963,965,967,1051,1052,1056,1099,1102,1114,1157,1161,1162,1165,1166,1167,
1582,1599,1602,1661,1664,1697,1698,2127],[1,2,3,4,6,7,8,14,15,17,18,19,20,22,
24,25,27,28,30,31,32,33,34,35,37,38,39,40,50,51,53,54,55,56,58,93,95,96,98,99,
100,101,103,105,109,111,112,120,121,122,131,132,133,134,135,144,145,146,147,
150,151,171,172,173,175,181,182,185,187,188,189,190,191,192,208,212,225,227,
228,230,231,234,239,240,241,244,245,247,251,253,379,380,381,391,392,393,397,
398,399,403,404,412,426,436,437,471,472,473,476,477,479,507,509,510,511,523,
524,570,574,577,578,583,584,593,594,602,603,619,620,651,653,656,666,940,942,
943,962,963,965,968,1051,1052,1057,1099,1102,1115,1158,1162,1163,1164,1166,
1168,1582,1600,1601,1662,1663,1698,1699,2128],[1,3,5,6,7,8,21,23,24,26,27,28,
29,30,32,34,35,41,42,45,46,47,49,50,51,52,53,55,56,57,58,59,123,124,125,126,
128,136,137,138,140,141,142,143,144,146,147,148,154,155,157,159,162,164,166,
168,170,171,173,174,175,176,177,178,179,180,181,183,184,185,186,187,191,193,
194,213,214,215,218,219,220,221,222,224,225,226,228,229,230,231,232,233,234,
235,438,439,440,441,443,445,447,449,450,451,453,455,456,458,480,481,484,486,
487,488,491,492,493,494,496,497,498,502,503,504,507,508,510,511,512,528,530,
532,534,540,542,547,553,555,557,558,559,560,564,568,569,570,571,572,573,575,
577,579,580,581,582,584,587,588,622,623,624,625,626,627,641,643,644,645,997,
999,1000,1002,1004,1005,1009,1012,1014,1016,1018,1021,1023,1024,1058,1060,
1061,1063,1070,1072,1074,1075,1086,1088,1094,1095,1096,1099,1100,1116,1118,
1119,1121,1123,1130,1132,1133,1136,1152,1153,1608,1610,1612,1617,1619,1625,
1627,1666,1668,1688,1690,2129],[1,3,4,5,6,7,8,21,22,23,24,25,26,27,28,29,30,
31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,123,124,
125,126,127,128,129,130,131,132,135,136,137,138,139,140,141,142,143,144,146,
147,148,149,150,151,152,154,155,156,157,158,159,162,163,164,165,166,167,168,
169,170,171,172,173,174,175,176,177,178,179,180,182,188,189,190,192,193,195,
196,197,199,200,201,202,204,205,206,209,211,212,213,214,215,217,222,223,224,
227,438,439,440,441,443,445,446,447,448,449,450,452,454,457,459,460,461,462,
463,465,467,469,471,473,476,478,480,481,482,484,485,486,487,488,489,491,492,
493,495,497,498,502,503,504,507,508,509,513,515,517,518,520,524,525,526,528,
529,530,531,532,533,534,535,536,539,540,542,543,544,547,554,556,561,562,563,
565,566,567,568,569,574,576,578,583,585,586,589,590,604,606,609,611,997,999,
1000,1003,1005,1006,1009,1013,1015,1017,1019,1020,1022,1025,1028,1030,1031,
1035,1036,1040,1044,1046,1048,1052,1058,1059,1060,1061,1063,1064,1065,1071,
1073,1086,1088,1093,1097,1098,1103,1105,1108,1110,1117,1120,1122,1124,1125,
1127,1131,1134,1154,1608,1611,1613,1618,1620,1626,1628,1638,1641,1649,1655,
1667,1669,1687,1689,2130],[1,3,5,6,7,8,21,23,24,26,27,28,29,30,32,34,35,43,44,
45,48,50,51,54,55,56,57,58,123,124,125,126,128,136,137,138,140,141,142,143,
144,146,147,148,156,158,160,161,162,164,167,169,171,173,175,176,179,181,183,
184,185,186,187,191,195,196,216,217,218,220,223,225,227,229,231,232,438,439,
440,442,444,445,448,449,451,453,455,456,459,482,483,484,486,489,490,491,492,
494,496,499,500,502,505,506,507,510,511,512,536,538,544,546,549,551,553,556,
557,559,565,570,571,576,577,579,581,583,587,628,642,998,999,1001,1002,1004,
1007,1011,1012,1014,1017,1019,1021,1023,1064,1066,1067,1069,1070,1073,1074,
1090,1092,1094,1097,1098,1099,1126,1128,1135,1137,1139,1609,1610,1613,1621,
1624,1630,1670,1671,1692,2131],[1,3,4,5,6,7,8,21,22,23,24,25,26,27,28,29,30,
31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,50,51,52,53,54,56,58,59,
123,124,125,126,127,128,129,130,131,132,135,136,137,138,139,140,141,142,143,
144,146,147,148,149,150,151,152,155,156,158,159,160,161,162,163,164,165,166,
167,168,169,170,171,172,173,174,175,176,178,179,180,182,183,185,187,188,189,
190,191,192,193,194,196,198,199,200,202,203,205,210,211,212,215,216,217,219,
221,222,223,226,228,230,233,234,235,438,439,440,442,444,445,446,447,448,449,
452,454,455,456,457,458,460,461,462,464,466,467,470,471,473,476,478,481,482,
483,484,485,486,488,489,490,491,492,493,495,496,499,500,502,505,506,507,509,
511,512,514,516,517,519,521,524,525,527,532,535,536,537,538,539,544,546,547,
548,549,550,551,552,554,555,558,560,561,562,563,564,566,567,568,572,573,574,
575,578,580,582,584,588,590,605,608,612,613,998,999,1001,1003,1004,1007,1008,
1011,1013,1015,1016,1018,1020,1022,1024,1029,1030,1032,1035,1038,1042,1044,
1047,1049,1052,1061,1062,1064,1066,1067,1068,1069,1071,1072,1075,1090,1092,
1093,1095,1096,1100,1104,1106,1109,1111,1122,1124,1127,1129,1134,1138,1140,
1141,1609,1611,1612,1622,1623,1629,1631,1639,1642,1652,1658,1669,1672,1691,
1693,2132],[1,3,5,6,7,8,21,23,24,26,27,28,29,30,32,34,35,45,50,51,55,56,57,58,
123,124,125,126,128,136,137,138,140,141,142,143,144,146,147,148,162,164,171,
173,175,176,179,181,183,184,185,186,187,191,218,220,225,229,231,232,236,237,
238,239,240,241,242,246,249,250,438,439,440,445,449,451,453,455,456,484,486,
491,492,494,496,502,507,510,511,512,553,557,559,570,571,577,579,581,587,591,
592,593,594,595,597,599,600,629,630,631,639,646,647,648,649,658,659,661,999,
1002,1004,1012,1014,1021,1023,1026,1027,1070,1074,1076,1078,1080,1081,1094,
1099,1101,1102,1142,1143,1147,1155,1156,1159,1160,1169,1175,1176,1610,1614,
1616,1632,1634,1673,1675,1682,1684,1694,1696,2133],[1,3,5,6,7,8,21,23,24,26,
27,28,29,30,32,33,34,35,45,50,51,55,56,57,58,123,124,125,126,128,136,137,138,
140,141,142,143,144,146,147,148,162,164,165,171,173,175,176,179,181,182,183,
184,185,186,187,191,192,218,220,225,229,231,232,248,438,439,440,445,449,451,
453,455,456,484,486,491,492,494,495,496,502,507,510,511,512,553,554,557,559,
570,571,577,578,579,581,587,598,637,660,999,1002,1004,1012,1014,1021,1023,
1070,1071,1074,1077,1079,1082,1094,1099,1148,1170,1610,1615,1674,1676,1683,
2134],[1,3,5,6,7,8,21,23,24,26,27,28,29,30,32,34,35,45,46,50,51,53,55,56,57,
58,59,123,124,125,126,128,136,137,138,140,141,142,143,144,146,147,148,162,164,
168,171,173,175,176,179,181,183,184,185,186,187,191,194,218,219,220,221,225,
226,228,229,230,231,232,233,234,239,240,241,242,243,244,245,246,247,250,252,
253,438,439,440,445,449,451,453,455,456,484,486,491,492,494,496,502,507,510,
511,512,553,555,557,558,559,560,570,571,577,579,580,581,582,584,587,593,594,
595,596,599,600,601,602,632,633,634,635,636,640,650,651,652,653,654,655,656,
657,662,663,664,666,667,668,669,999,1002,1004,1012,1014,1021,1023,1027,1070,
1072,1074,1080,1081,1083,1094,1099,1102,1144,1145,1146,1149,1151,1157,1158,
1161,1163,1164,1165,1171,1173,1174,1177,1178,1610,1616,1633,1635,1637,1677,
1679,1685,1695,1697,1699,2135],[1,3,5,6,7,8,21,23,24,26,27,28,29,30,32,34,35,
45,50,51,54,55,56,57,58,123,124,125,126,128,136,137,138,140,141,142,143,144,
146,147,148,162,164,169,171,173,175,176,179,181,183,184,185,186,187,191,195,
218,220,225,227,229,231,232,251,438,439,440,445,449,451,453,455,456,484,486,
491,492,494,496,502,507,510,511,512,553,556,557,559,570,571,577,579,581,583,
587,603,638,665,999,1002,1004,1012,1014,1021,1023,1070,1073,1074,1084,1094,
1099,1150,1162,1166,1172,1610,1636,1678,1680,1698,2136],[1,3,5,6,7,8,21,26,27,
30,32,34,35,41,42,45,46,47,50,51,52,53,55,56,57,58,59,124,126,128,154,155,162,
164,166,168,171,173,174,181,183,186,187,191,193,194,213,214,215,218,219,220,
221,222,225,226,228,231,232,233,234,235,236,237,238,239,240,241,242,243,244,
245,246,247,441,445,447,451,455,458,528,530,532,534,553,555,559,560,564,570,
572,575,591,592,593,594,595,596,622,623,624,626,627,629,630,631,632,633,634,
635,636,641,646,647,648,649,650,651,652,653,654,655,656,657,1005,1012,1016,
1026,1027,1116,1119,1121,1142,1143,1144,1145,1146,1155,1156,1157,1158,1191,
1192,1193,1196,1197,1198,1199,1208,1209,1617,1632,1633,1705,1706,1709,1710,
2137],[1,3,5,6,7,8,21,26,27,28,29,30,32,34,35,42,45,46,49,50,51,52,53,55,56,
57,58,59,124,125,126,128,157,159,162,164,170,171,173,175,176,177,178,179,180,
181,183,185,186,187,191,214,215,218,219,220,221,224,225,226,228,229,230,231,
232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,250,252,253,
443,445,449,450,451,455,456,540,542,547,553,558,559,560,568,569,570,573,577,
580,581,582,584,587,588,591,592,593,594,595,596,600,601,602,624,625,626,627,
629,630,631,632,633,634,636,640,643,644,645,646,647,648,649,650,651,652,653,
654,655,656,657,658,659,662,663,664,666,667,668,669,1009,1012,1018,1021,1024,
1026,1027,1130,1133,1136,1142,1143,1144,1145,1151,1152,1155,1156,1157,1158,
1159,1160,1161,1163,1164,1165,1173,1174,1175,1176,1177,1178,1196,1198,1200,
1201,1214,1215,1216,1217,1625,1632,1633,1634,1635,1637,1713,1714,1719,1720,
1721,1722,1723,1724,2138],[1,3,4,5,6,7,8,22,23,25,26,28,30,31,32,33,34,35,36,
37,38,39,40,41,42,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,129,130,131,
132,133,134,135,136,138,139,141,149,150,151,152,154,156,157,158,162,163,164,
165,166,167,168,169,175,177,181,183,184,185,186,187,188,189,190,191,194,196,
197,199,200,201,202,204,205,206,207,208,210,211,212,213,214,215,217,218,219,
220,221,223,224,225,226,228,229,230,231,232,233,234,235,460,461,462,463,465,
467,468,469,470,471,472,474,475,477,479,480,482,484,485,487,489,494,496,513,
515,517,518,520,522,523,527,528,529,530,531,536,537,538,539,540,543,544,553,
555,557,558,559,560,561,562,563,564,565,567,577,579,580,581,582,584,585,604,
606,607,608,609,610,612,613,622,623,624,625,626,627,628,642,643,644,645,1028,
1030,1031,1033,1034,1036,1037,1040,1043,1045,1047,1049,1050,1051,1053,1058,
1059,1064,1065,1070,1072,1103,1105,1107,1109,1111,1116,1118,1119,1120,1126,
1128,1129,1130,1132,1133,1135,1179,1180,1185,1186,1638,1640,1642,1648,1650,
1654,1656,1666,1670,1700,1702,2139],[1,3,4,5,6,7,8,22,23,25,26,27,28,29,30,31,
32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,50,51,52,53,54,55,56,57,58,59,
129,130,131,132,133,134,135,136,137,138,139,141,142,149,150,151,152,155,159,
160,161,162,163,164,165,166,167,168,169,170,171,173,174,175,178,179,180,181,
183,184,185,186,187,188,189,190,191,193,194,195,198,199,200,202,203,205,207,
208,209,211,212,214,215,216,218,219,220,222,225,226,227,228,229,231,232,235,
460,461,462,464,466,467,468,469,470,471,472,474,475,477,479,481,483,484,485,
488,490,491,493,494,496,514,516,517,519,521,522,523,526,532,533,534,535,547,
548,549,550,551,552,553,556,557,559,561,562,563,564,565,566,568,570,571,572,
573,575,577,579,581,583,587,588,589,605,607,610,611,624,641,1029,1030,1032,
1033,1034,1038,1039,1042,1043,1045,1046,1048,1050,1051,1053,1061,1062,1067,
1068,1070,1073,1074,1075,1104,1106,1107,1108,1110,1121,1123,1125,1136,1137,
1139,1141,1152,1153,1639,1640,1641,1651,1653,1657,1668,1671,1701,2140],[1,3,4,
5,6,7,8,22,23,25,26,28,30,31,32,33,34,35,36,37,38,39,40,45,50,51,55,56,57,58,
129,130,131,132,133,134,135,136,138,139,141,149,150,151,152,162,163,164,165,
175,181,183,184,185,186,187,188,189,190,191,200,205,207,208,218,220,225,229,
231,232,236,237,238,239,240,241,242,246,248,249,250,460,461,462,467,468,471,
472,474,475,477,479,484,485,494,496,517,522,523,553,557,559,561,577,579,581,
591,593,595,597,598,599,600,607,610,614,615,616,617,629,630,631,637,639,646,
648,649,658,659,660,661,1030,1033,1034,1043,1045,1051,1053,1054,1055,1070,
1076,1079,1080,1107,1112,1113,1142,1147,1148,1159,1169,1170,1181,1183,1187,
1188,1640,1643,1646,1659,1665,1673,1676,1703,2141],[1,3,4,5,6,7,8,22,23,25,26,
28,30,31,32,33,34,35,36,37,38,39,40,45,50,51,55,56,57,58,129,130,131,132,133,
134,135,136,138,139,141,149,150,151,152,162,163,164,165,175,181,182,183,184,
185,186,187,188,189,190,191,192,200,205,207,208,218,220,225,229,231,232,237,
240,246,460,461,462,467,468,471,472,474,475,477,479,484,485,494,495,496,517,
522,523,553,554,557,559,561,577,578,579,581,592,594,607,610,630,647,1030,1033,
1034,1043,1045,1051,1053,1070,1071,1077,1078,1081,1082,1107,1143,1160,1640,
1644,1645,1674,1675,2142],[1,3,4,5,6,7,8,22,23,25,26,28,30,31,32,33,34,35,36,
37,38,39,40,45,46,50,51,53,55,56,57,58,59,129,130,131,132,133,134,135,136,138,
139,141,149,150,151,152,162,163,164,165,168,175,181,183,184,185,186,187,188,
189,190,191,194,200,205,207,208,218,219,220,221,225,226,228,229,230,231,232,
233,234,239,240,241,242,243,244,245,246,247,250,251,252,253,460,461,462,467,
468,471,472,474,475,477,479,484,485,494,496,517,522,523,553,555,557,558,559,
560,561,577,579,580,581,582,584,593,595,596,599,600,601,602,603,607,610,618,
619,620,621,632,633,634,635,636,638,640,650,652,653,654,655,656,657,662,663,
664,665,666,667,668,669,1030,1033,1034,1043,1045,1051,1053,1056,1057,1070,
1072,1080,1083,1084,1107,1114,1115,1144,1146,1149,1150,1151,1161,1164,1166,
1171,1173,1174,1182,1184,1189,1190,1640,1647,1660,1661,1663,1677,1680,1704,
2143],[1,3,4,5,6,7,8,22,23,25,26,28,30,31,32,33,34,35,36,37,38,39,40,45,50,51,
54,55,56,57,58,129,130,131,132,133,134,135,136,138,139,141,149,150,151,152,
162,163,164,165,169,175,181,183,184,185,186,187,188,189,190,191,195,200,205,
207,208,218,220,221,225,227,229,231,232,240,247,460,461,462,467,468,471,472,
474,475,477,479,484,485,494,496,517,522,523,553,556,557,559,561,577,579,581,
583,594,607,610,633,651,1030,1033,1034,1043,1045,1051,1053,1070,1073,1081,
1107,1145,1162,1163,1165,1172,1640,1662,1664,1678,1679,2144],[1,3,5,6,7,8,22,
26,30,33,34,41,42,45,46,48,50,52,54,55,56,57,58,59,130,132,135,154,156,162,
165,166,169,184,185,186,187,196,213,214,218,219,220,221,223,229,230,231,232,
233,234,237,238,240,241,242,244,245,246,247,248,249,250,251,252,253,463,467,
469,474,477,528,531,536,539,557,558,559,560,597,598,599,600,601,602,603,622,
623,625,626,627,630,631,633,634,635,636,637,638,639,640,642,658,659,660,661,
662,663,664,665,666,667,668,669,1036,1045,1049,1054,1055,1056,1057,1118,1119,
1128,1147,1148,1149,1150,1151,1192,1193,1194,1195,1200,1201,1202,1203,1210,
1211,1212,1213,1650,1659,1660,1707,1708,1711,1712,2145],[1,3,5,6,7,8,22,26,28,
30,33,34,35,42,44,45,46,49,50,51,52,53,55,56,57,58,59,130,132,135,157,158,162,
165,167,168,175,177,183,184,185,186,187,194,214,215,217,218,219,220,221,224,
225,226,228,229,230,231,232,233,234,235,237,238,239,240,241,242,243,244,245,
246,247,248,249,250,251,252,253,465,467,470,474,477,540,543,544,555,557,559,
560,567,579,580,581,582,584,595,596,597,598,599,600,601,602,603,624,625,626,
627,628,630,631,632,634,635,636,637,638,639,640,643,644,645,648,649,650,652,
653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,1040,1045,
1047,1054,1055,1056,1057,1132,1133,1135,1146,1147,1148,1149,1150,1169,1171,
1173,1174,1198,1199,1201,1203,1204,1205,1206,1207,1215,1216,1217,1218,1219,
1220,1221,1656,1659,1660,1715,1716,1717,1718,2146],[1,3,5,6,7,8,23,26,28,30,
32,34,35,41,42,45,46,49,50,51,52,53,55,56,57,58,59,136,138,141,154,157,162,
164,166,168,175,177,181,183,184,185,186,187,191,194,213,214,215,218,219,220,
221,224,225,226,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,
243,244,245,246,247,249,250,252,253,480,484,487,494,496,528,530,540,553,555,
557,558,559,560,564,577,579,580,581,582,584,591,593,595,596,597,599,600,601,
602,622,623,624,625,626,627,629,630,631,632,633,634,635,636,639,640,643,644,
645,646,648,649,650,652,653,654,655,656,657,658,659,661,662,663,664,666,667,
668,669,1058,1070,1072,1076,1080,1083,1116,1118,1119,1130,1132,1133,1142,1144,
1146,1147,1149,1151,1159,1161,1164,1169,1171,1173,1174,1191,1192,1193,1195,
1196,1198,1199,1200,1201,1203,1214,1215,1216,1217,1218,1221,1666,1673,1677,
1705,1707,1713,1715,2147],[1,3,5,6,7,8,23,26,28,30,32,33,34,35,41,42,45,46,49,
50,51,52,53,54,55,56,57,58,59,136,138,141,154,157,162,164,165,166,168,169,175,
177,181,182,183,184,185,186,187,191,192,194,195,213,214,215,218,219,220,221,
224,225,226,227,228,229,230,231,232,233,234,235,480,484,487,494,495,496,528,
530,531,540,553,554,555,556,557,558,559,560,564,566,577,578,579,580,581,582,
583,584,586,622,623,624,625,626,627,643,644,645,1058,1070,1071,1072,1073,1077,
1082,1116,1117,1118,1119,1130,1131,1132,1133,1162,1167,1168,1172,1666,1667,
1674,1678,1681,2148],[1,3,5,6,7,8,23,26,28,30,32,34,35,41,42,45,46,49,50,51,
52,53,55,56,57,58,59,136,138,141,154,157,162,164,166,168,175,177,181,183,184,
185,186,187,191,194,213,214,215,218,219,220,221,224,225,226,228,229,230,231,
232,233,234,235,237,240,246,247,480,484,487,494,496,528,530,540,553,555,557,
558,559,560,564,577,579,580,581,582,584,592,594,622,623,624,625,626,627,630,
633,636,643,644,645,647,651,1058,1070,1072,1078,1081,1116,1118,1119,1130,1132,
1133,1143,1145,1160,1163,1165,1192,1197,1666,1675,1679,1706,1714,2149],[1,3,5,
6,7,8,23,26,28,30,32,34,35,41,42,45,46,49,50,51,52,53,55,56,57,58,59,136,138,
141,154,157,162,164,166,168,175,177,181,183,184,185,186,187,191,194,213,214,
215,218,219,220,221,224,225,226,228,229,230,231,232,233,234,235,248,251,480,
484,487,494,496,528,530,540,553,555,557,558,559,560,564,577,579,580,581,582,
584,598,603,622,623,624,625,626,627,637,638,643,644,645,660,665,1058,1070,
1072,1079,1084,1116,1118,1119,1130,1132,1133,1148,1150,1166,1170,1194,1202,
1219,1220,1666,1676,1680,1708,1716,2150],[1,3,5,6,7,8,23,26,27,28,29,30,32,34,
35,42,45,46,47,50,51,52,53,55,56,57,58,59,136,137,138,141,142,155,159,162,164,
166,168,170,171,173,174,175,178,179,180,181,183,184,185,186,187,191,193,194,
214,215,218,219,220,221,222,225,226,228,229,231,232,233,234,235,236,237,238,
239,240,241,242,244,245,246,247,249,250,481,484,488,491,493,494,496,532,534,
547,553,557,559,564,568,570,571,572,573,575,577,579,581,587,588,591,593,594,
595,597,599,600,624,626,629,630,631,633,634,639,641,646,647,648,649,650,651,
653,654,656,658,659,661,1061,1070,1074,1075,1076,1080,1081,1121,1123,1136,
1142,1145,1147,1152,1153,1155,1157,1158,1159,1163,1165,1169,1175,1177,1178,
1196,1197,1208,1209,1668,1673,1679,1682,1685,1709,1719,1721,1723,2151],[1,3,5,
6,7,8,23,26,27,28,29,30,32,33,34,35,42,45,46,47,50,51,52,53,55,56,57,58,59,
136,137,138,141,142,155,159,162,164,165,166,168,170,171,173,174,175,178,179,
180,181,182,183,184,185,186,187,191,192,193,194,214,215,218,219,220,222,225,
226,228,229,231,232,235,251,481,484,488,491,493,494,495,496,532,534,547,553,
554,557,559,564,568,570,571,572,573,575,577,578,579,581,587,588,603,624,638,
641,665,1061,1070,1071,1074,1075,1077,1082,1084,1121,1123,1136,1150,1152,1153,
1166,1668,1674,1680,1686,2152],[1,3,5,6,7,8,23,26,27,28,29,30,32,34,35,42,45,
46,47,50,51,52,53,55,56,57,58,59,136,137,138,141,142,155,159,162,164,166,168,
170,171,173,174,175,178,179,180,181,183,184,185,186,187,191,193,194,214,215,
218,219,220,221,222,225,226,228,229,230,231,232,233,234,235,237,239,240,241,
242,243,244,245,246,247,250,252,253,481,484,488,491,493,494,496,532,534,547,
553,555,557,558,559,560,564,568,570,571,572,573,575,577,579,580,581,582,584,
587,588,592,593,594,595,596,599,600,601,602,624,627,630,632,633,634,635,636,
640,641,647,649,650,651,652,653,654,655,656,657,662,663,664,666,667,668,669,
1061,1070,1072,1074,1075,1078,1080,1081,1083,1121,1123,1136,1143,1144,1146,
1149,1151,1152,1153,1156,1157,1158,1160,1161,1164,1171,1173,1174,1176,1177,
1178,1197,1199,1209,1668,1675,1677,1684,1685,1710,1720,1722,1724,2153],[1,3,5,
6,7,8,23,26,27,28,29,30,32,34,35,42,45,46,47,50,51,52,53,54,55,56,57,58,59,
136,137,138,141,142,155,159,162,164,166,168,169,170,171,173,174,175,178,179,
180,181,183,184,185,186,187,191,193,194,195,214,215,218,219,220,222,225,226,
227,228,229,231,232,235,248,481,484,488,491,493,494,496,532,534,547,553,556,
557,559,564,568,570,571,572,573,575,577,579,581,583,587,588,598,624,637,641,
660,1061,1070,1073,1074,1075,1079,1121,1123,1136,1148,1152,1153,1162,1170,
1172,1668,1676,1678,1725,2154],[1,3,5,6,7,8,23,26,28,30,32,34,35,44,45,48,50,
51,54,55,56,57,58,136,138,141,156,158,162,164,167,169,175,181,183,184,185,186,
187,191,196,217,218,220,223,225,229,231,232,236,237,238,239,240,241,242,246,
249,250,251,482,484,489,494,496,536,538,544,553,557,559,565,577,579,581,591,
593,595,597,599,600,603,628,629,630,631,638,639,642,646,648,649,658,659,661,
665,1064,1070,1076,1080,1084,1126,1128,1135,1142,1147,1150,1159,1166,1169,
1204,1207,1210,1212,1670,1673,1680,1711,1717,2155],[1,3,5,6,7,8,23,26,28,30,
32,33,34,35,44,45,48,50,51,54,55,56,57,58,136,138,141,156,158,162,164,165,167,
169,175,181,182,183,184,185,186,187,191,192,196,217,218,220,221,223,225,229,
231,232,240,247,482,484,489,494,495,496,536,538,544,553,554,557,559,565,577,
578,579,581,594,628,633,642,651,1064,1070,1071,1077,1081,1082,1126,1128,1135,
1145,1163,1165,1670,1674,1679,2156],[1,3,5,6,7,8,23,26,28,30,32,34,35,44,45,
48,50,51,54,55,56,57,58,136,138,141,156,158,162,164,167,169,175,181,183,184,
185,186,187,191,195,196,217,218,220,223,225,227,229,231,232,237,240,246,482,
484,489,494,496,536,538,544,553,556,557,559,565,577,579,581,583,592,594,628,
630,642,647,1064,1070,1073,1078,1081,1126,1128,1135,1143,1160,1162,1172,1670,
1675,1678,2157],[1,3,5,6,7,8,23,26,28,30,32,34,35,44,45,46,48,50,51,53,54,55,
56,57,58,59,136,138,141,156,158,162,164,167,168,169,175,181,183,184,185,186,
187,191,194,196,217,218,219,220,221,223,225,226,228,229,230,231,232,233,234,
239,240,241,242,243,244,245,246,247,248,250,252,253,482,484,489,494,496,536,
538,544,553,555,557,558,559,560,565,577,579,580,581,582,584,593,595,596,598,
599,600,601,602,628,632,633,634,635,636,637,640,642,650,652,653,654,655,656,
657,660,662,663,664,666,667,668,669,1064,1070,1072,1079,1080,1083,1126,1128,
1135,1144,1146,1148,1149,1151,1161,1164,1170,1171,1173,1174,1205,1206,1211,
1213,1670,1676,1677,1712,1718,2158],[1,3,5,6,7,8,23,26,28,30,32,34,35,43,44,
45,50,51,54,55,56,57,58,136,138,141,160,161,162,164,167,169,175,181,183,184,
185,186,187,191,195,216,218,220,225,227,229,231,232,236,237,238,239,240,241,
242,246,249,250,483,484,490,494,496,549,551,553,556,557,559,565,577,579,581,
583,591,593,595,597,599,600,629,630,631,639,646,648,649,658,659,661,1067,1070,
1073,1076,1080,1137,1139,1142,1147,1159,1162,1169,1172,1671,1673,1678,2159],[
1,3,5,6,7,8,23,26,28,30,32,33,34,35,43,44,45,46,50,51,53,54,55,56,57,58,59,
136,138,141,160,161,162,164,165,167,168,169,175,181,182,183,184,185,186,187,
191,192,194,195,216,218,219,220,221,225,226,227,228,229,230,231,232,233,234,
239,240,241,242,243,244,245,246,247,250,252,253,483,484,490,494,495,496,549,
551,552,553,554,555,556,557,558,559,560,565,567,577,578,579,580,581,582,583,
584,593,595,596,599,600,601,602,632,633,634,635,636,640,650,652,653,654,655,
656,657,662,663,664,666,667,668,669,1067,1070,1071,1072,1073,1077,1080,1082,
1083,1137,1138,1139,1140,1144,1146,1149,1151,1161,1164,1167,1168,1171,1173,
1174,1671,1672,1674,1677,1681,2160],[1,3,5,6,7,8,23,26,28,30,32,34,35,43,44,
45,50,51,54,55,56,57,58,136,138,141,160,161,162,164,167,169,175,181,183,184,
185,186,187,191,195,216,218,220,225,227,229,231,232,237,240,246,251,483,484,
490,494,496,549,551,553,556,557,559,565,577,579,581,583,592,594,603,630,638,
647,665,1067,1070,1073,1078,1081,1084,1137,1139,1143,1150,1160,1166,1671,1675,
1680,2161],[1,3,5,6,7,8,23,26,28,30,32,34,35,43,44,45,50,51,54,55,56,57,58,
136,138,141,160,161,162,164,167,169,175,181,183,184,185,186,187,191,195,216,
218,220,221,225,227,229,231,232,240,247,248,483,484,490,494,496,549,551,553,
556,557,559,565,577,579,581,583,594,598,633,637,651,660,1067,1070,1073,1079,
1081,1137,1139,1145,1148,1163,1165,1170,1671,1676,1679,2162],[1,3,5,6,7,8,24,
26,29,30,32,34,35,41,42,45,46,50,51,52,53,55,56,57,58,59,143,146,148,154,159,
162,164,166,168,179,180,181,183,186,187,191,194,213,214,215,218,219,220,221,
225,226,228,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,
247,497,502,504,510,512,528,530,547,553,555,559,560,564,587,588,591,592,593,
594,595,596,622,623,624,626,627,629,630,631,632,633,634,635,636,646,647,648,
649,650,651,652,653,654,655,656,657,1086,1094,1096,1101,1102,1116,1119,1136,
1142,1143,1144,1145,1146,1175,1176,1177,1178,1191,1192,1193,1196,1197,1198,
1199,1688,1694,1695,1705,1706,1719,1720,2163],[1,3,5,6,7,8,24,26,27,28,29,30,
32,34,35,42,45,46,47,49,50,51,52,53,55,56,57,58,59,143,144,146,147,148,155,
157,162,164,166,168,170,171,173,174,175,177,178,179,181,183,185,186,187,191,
193,194,214,215,218,219,220,221,222,224,225,226,228,229,230,231,232,233,234,
235,236,237,238,239,240,241,242,243,244,245,246,247,250,252,253,498,502,503,
507,508,510,511,512,532,534,540,553,558,559,560,564,568,570,572,573,575,577,
580,581,582,584,587,591,592,593,594,595,596,600,601,602,624,625,626,627,629,
630,631,632,633,634,635,636,640,641,643,644,645,646,647,648,649,650,651,652,
653,654,655,656,657,658,659,662,663,664,666,667,668,669,1088,1094,1095,1099,
1100,1101,1102,1121,1130,1133,1142,1143,1144,1145,1151,1152,1155,1156,1157,
1158,1159,1160,1161,1163,1164,1165,1173,1174,1175,1176,1177,1178,1196,1197,
1198,1199,1200,1201,1208,1209,1214,1215,1216,1217,1690,1694,1695,1696,1697,
1699,1709,1710,1713,1714,1721,1722,1723,1724,2164],[1,3,4,5,6,7,8,25,26,30,31,
34,36,37,38,39,40,41,42,44,45,46,50,52,55,56,57,58,59,149,150,152,154,158,162,
163,166,167,184,185,186,187,189,197,199,200,201,202,205,207,208,213,214,217,
218,219,220,221,229,230,231,232,233,234,237,238,240,241,242,244,245,246,247,
248,249,250,251,252,253,513,517,520,522,523,528,529,544,557,558,559,560,562,
597,598,599,600,601,602,603,604,606,607,608,610,614,615,616,617,618,619,620,
621,622,623,625,626,627,628,630,631,633,634,635,636,637,638,639,640,658,659,
660,661,662,663,664,665,666,667,668,669,1103,1107,1111,1112,1113,1114,1115,
1118,1119,1135,1147,1148,1149,1150,1151,1179,1180,1181,1182,1183,1184,1187,
1188,1189,1190,1192,1193,1194,1195,1200,1201,1202,1203,1204,1205,1206,1207,
1700,1703,1704,1707,1708,1717,1718,1726,1727,1728,1729,2165],[1,3,4,5,6,7,8,
25,26,28,30,31,34,35,36,37,38,39,40,42,45,46,48,49,50,51,52,53,54,55,56,57,58,
59,149,150,152,156,157,162,163,168,169,175,177,183,184,185,186,187,189,194,
196,200,204,205,206,207,208,210,211,212,214,215,218,219,220,221,223,224,225,
226,228,229,230,231,232,233,234,235,237,238,239,240,241,242,243,244,245,246,
247,248,249,250,251,252,253,515,517,518,522,523,527,536,537,540,555,557,559,
560,563,579,580,581,582,584,585,595,596,597,598,599,600,601,602,603,607,609,
610,612,613,614,615,616,617,618,619,620,621,624,625,626,627,630,631,632,634,
635,636,637,638,639,640,642,643,644,645,648,649,650,652,653,654,655,656,657,
658,659,660,661,662,663,664,665,666,667,668,669,1105,1107,1109,1112,1113,1114,
1115,1128,1132,1133,1146,1147,1148,1149,1150,1169,1171,1173,1174,1181,1182,
1183,1184,1185,1186,1187,1188,1189,1190,1198,1199,1201,1203,1210,1211,1212,
1213,1215,1216,1217,1218,1219,1220,1221,1702,1703,1704,1711,1712,1715,1716,
1730,1731,1732,1733,2166],[1,2,3,5,6,9,13,14,16,17,26,41,42,43,61,62,63,64,65,
66,67,69,83,94,114,115,154,160,255,264,265,266,267,269,271,278,281,284,285,
286,287,288,290,339,349,383,670,671,677,681,685,717,723,725,726,728,733,744,
745,752,753,760,764,1222,1223,1224,1230,1243,1259,1261,1265,1268,1321,1330,
1734,1737,1738,1754,1757,1769,1771,2167],[1,2,3,4,5,6,9,13,14,15,16,17,18,23,
26,28,36,61,62,63,64,65,66,67,68,69,81,83,84,85,92,94,96,104,136,255,264,265,
266,267,268,269,270,271,274,275,278,279,280,281,282,283,288,289,292,333,343,
372,670,671,677,679,681,682,683,685,717,719,721,723,724,727,736,746,754,1222,
1223,1224,1225,1226,1229,1230,1231,1232,1233,1243,1244,1245,1249,1253,1263,
1323,1734,1735,1736,1739,1743,1750,1756,1772,2168],[1,2,3,5,6,9,13,14,16,17,
26,28,42,43,44,49,61,62,63,64,65,66,67,69,83,84,94,115,116,157,161,255,264,
265,266,267,269,271,278,281,283,285,286,287,288,290,291,292,293,340,346,385,
670,671,677,681,682,685,717,723,726,728,729,737,745,747,755,756,762,765,1222,
1223,1224,1230,1243,1245,1260,1261,1265,1266,1270,1325,1331,1734,1738,1740,
1755,1758,1773,1774,2169],[1,2,3,4,7,9,13,14,15,19,23,24,25,32,33,38,61,62,63,
64,67,68,77,81,82,85,86,87,92,93,99,108,109,139,140,255,264,265,268,272,274,
276,279,282,327,330,334,337,375,670,671,677,679,680,683,684,719,740,1222,1225,
1227,1229,1232,1244,1247,1248,1251,1252,1257,1735,1744,1745,1749,1752,1775,
1776,2170],[1,2,3,4,8,9,13,14,15,20,23,25,29,33,35,40,61,62,63,64,67,68,77,81,
82,85,88,89,92,97,101,112,113,139,142,255,264,265,268,273,274,277,279,282,327,
331,335,338,377,670,671,677,679,680,683,686,719,742,1222,1225,1228,1229,1232,
1244,1248,1250,1252,1254,1258,1735,1746,1747,1751,1753,1776,1777,2171],[1,2,3,
4,5,6,9,13,15,16,18,26,36,41,42,43,44,61,62,64,65,66,68,81,83,84,85,104,114,
116,154,161,197,198,255,266,268,270,271,274,275,281,284,285,286,289,291,333,
339,340,343,346,349,413,670,679,681,682,683,725,727,729,733,736,737,752,756,
761,763,849,852,859,862,1223,1225,1226,1249,1259,1260,1263,1266,1268,1332,
1346,1737,1739,1740,1782,1789,1800,1802,2172],[1,2,4,5,7,8,9,13,16,19,20,36,
41,43,44,45,46,61,62,65,77,82,83,86,87,88,89,114,117,118,197,203,213,216,255,
266,271,272,273,276,277,284,286,328,336,339,341,342,344,345,347,348,349,431,
670,680,681,684,686,725,733,734,735,738,739,844,848,854,858,860,861,866,870,
1223,1227,1228,1255,1259,1262,1264,1267,1268,1345,1347,1737,1741,1742,1794,
1798,1801,1806,2173],[1,2,3,4,5,6,9,13,15,16,18,26,28,36,42,43,49,61,62,64,65,
66,68,69,81,83,84,85,104,115,157,160,198,255,266,268,270,271,274,275,281,283,
285,286,287,289,290,293,333,343,414,670,679,681,682,683,685,726,727,728,736,
753,755,763,766,1223,1225,1226,1249,1253,1261,1263,1265,1270,1333,1738,1739,
1783,1788,1804,2174],[1,2,3,4,5,6,7,8,9,13,15,16,18,19,20,25,26,32,35,36,37,
38,40,45,51,61,62,64,65,66,68,77,81,82,83,84,85,86,87,88,89,104,108,112,117,
122,149,164,200,255,266,268,270,271,272,273,274,275,276,277,281,289,327,328,
329,330,331,333,334,335,336,337,338,343,344,345,350,351,418,670,679,680,681,
682,683,684,686,727,734,736,738,740,741,742,743,843,846,851,856,1223,1225,
1226,1227,1228,1248,1249,1251,1254,1255,1256,1257,1258,1263,1264,1269,1348,
1739,1741,1744,1746,1748,1780,1786,1796,2175],[1,2,3,4,5,6,9,13,15,16,18,24,
26,29,33,36,61,62,64,65,66,68,81,83,84,85,104,109,113,143,165,255,266,268,270,
271,274,275,281,289,333,343,419,670,679,681,682,683,727,736,1223,1225,1226,
1247,1249,1250,1252,1263,1739,1745,1747,1778,1787,2176],[1,2,3,4,5,6,8,9,13,
15,16,18,26,35,36,44,46,53,61,62,64,65,66,68,81,83,84,85,88,89,104,118,158,
168,202,255,266,268,270,271,274,275,281,289,333,335,341,342,343,347,348,352,
422,670,679,681,682,683,686,727,735,736,739,850,853,865,868,1223,1225,1226,
1249,1254,1262,1263,1267,1271,1350,1739,1742,1784,1790,1805,2177],[1,2,3,4,5,
6,9,13,15,16,18,26,29,36,54,61,62,64,65,66,68,81,83,84,85,104,159,169,255,266,
268,270,271,274,275,281,289,333,343,423,670,679,681,682,683,727,736,1223,1225,
1226,1249,1250,1263,1272,1739,1785,1791,2178],[1,2,4,5,6,7,8,9,13,16,19,20,36,
42,44,45,46,51,53,61,62,65,66,77,82,83,84,86,87,88,89,116,117,118,199,202,215,
217,255,266,271,272,273,276,277,285,291,328,336,340,341,342,344,345,346,347,
348,350,351,352,433,670,680,681,682,684,686,729,734,735,737,738,739,845,847,
855,857,863,864,867,869,1223,1227,1228,1255,1260,1262,1264,1266,1267,1269,
1271,1349,1351,1740,1741,1742,1795,1797,1803,1807,2179],[1,2,3,4,6,7,9,13,14,
15,17,18,19,25,28,29,32,33,38,61,62,63,64,66,68,69,77,81,82,85,86,87,96,97,99,
108,113,151,176,255,265,267,268,269,270,272,274,276,280,283,327,330,334,337,
394,670,671,679,680,683,684,685,724,740,1224,1225,1227,1229,1233,1248,1250,
1251,1252,1253,1257,1743,1744,1747,1751,1752,1781,1792,2180],[1,2,3,4,6,8,9,
13,14,15,17,18,20,24,25,28,33,35,40,61,62,63,64,66,68,69,77,81,82,85,88,89,93,
96,101,109,112,147,151,255,265,267,268,269,270,273,274,277,280,283,327,331,
335,338,381,670,671,679,680,683,685,686,724,742,1224,1225,1228,1229,1233,1247,
1248,1252,1253,1254,1258,1743,1745,1746,1749,1753,1779,1781,2181],[1,2,3,4,5,
6,9,13,14,16,17,24,25,26,29,36,37,61,63,64,65,66,77,81,82,83,84,93,94,97,143,
149,255,265,266,267,278,281,327,328,329,333,336,378,671,679,680,681,682,723,
843,1229,1230,1231,1247,1248,1249,1250,1255,1256,1749,1750,1751,1778,1780,
2182],[1,2,3,5,6,9,13,14,16,17,26,41,42,43,61,63,64,65,66,81,83,84,94,114,115,
154,160,255,265,266,267,278,281,284,285,286,287,333,339,340,383,671,679,681,
682,723,725,726,744,745,752,753,849,1229,1230,1231,1249,1259,1260,1261,1330,
1750,1754,1755,1782,1783,2183],[1,2,3,5,6,9,13,14,16,17,26,29,44,61,63,64,65,
66,81,83,84,94,158,159,255,265,266,267,278,281,333,341,342,386,671,679,681,
682,723,850,1229,1230,1231,1249,1250,1262,1750,1784,1785,2184],[1,2,3,5,6,7,8,
9,13,14,16,17,26,32,33,35,45,51,61,63,64,65,66,81,83,84,86,87,88,89,94,99,101,
164,165,255,265,266,267,278,281,333,334,335,344,345,350,351,388,671,679,681,
682,684,686,723,851,1229,1230,1231,1249,1251,1252,1254,1264,1269,1750,1752,
1753,1786,1787,2185],[1,2,3,5,6,9,13,14,16,17,26,28,42,43,44,49,61,63,64,65,
66,69,81,83,84,94,115,116,157,161,255,265,266,267,278,281,283,285,286,290,291,
293,333,346,349,385,671,679,681,682,685,723,728,729,745,747,755,756,852,1229,
1230,1231,1249,1253,1265,1266,1268,1270,1331,1750,1757,1758,1788,1789,2186],[
1,2,3,5,6,8,9,13,14,16,17,26,35,46,53,54,61,63,64,65,66,81,83,84,88,89,94,121,
168,169,255,265,266,267,278,281,333,335,347,348,352,390,671,679,681,682,686,
723,853,1229,1230,1231,1249,1254,1267,1271,1272,1750,1759,1790,1791,2187],[1,
2,3,4,5,6,9,13,15,16,18,26,36,41,42,43,44,61,63,64,65,66,67,68,69,83,85,104,
114,116,154,161,197,198,255,266,268,270,278,279,280,281,284,285,286,287,288,
289,290,291,339,343,346,413,671,677,681,683,685,725,727,729,744,746,747,752,
756,760,761,763,765,766,859,1230,1232,1233,1243,1259,1261,1263,1265,1266,1332,
1352,1754,1756,1758,1769,1774,1800,1804,2188],[1,2,3,4,5,6,9,13,15,16,18,26,
28,36,42,43,49,61,63,64,65,66,67,68,69,83,84,85,104,115,157,160,198,255,266,
268,270,278,279,280,281,283,285,286,287,288,289,290,292,293,340,343,349,414,
671,677,681,682,683,685,726,727,728,745,746,753,755,762,763,764,766,862,1230,
1232,1233,1243,1245,1260,1261,1263,1265,1268,1270,1333,1353,1755,1756,1757,
1771,1773,1802,1804,2189],[1,2,3,4,5,6,9,13,15,16,18,21,25,26,27,36,37,61,63,
65,67,68,69,83,102,104,105,124,149,255,266,278,279,280,288,289,294,295,296,
300,303,306,405,671,681,731,746,748,749,767,768,783,796,1230,1275,1335,1354,
1760,1814,2190],[1,2,3,4,9,13,14,15,21,22,23,24,25,61,63,64,67,68,81,91,92,93,
102,103,123,129,255,264,265,268,279,282,294,295,298,299,303,306,367,671,679,
715,719,720,731,748,751,757,758,781,782,797,1229,1275,1312,1334,1760,1815,
1816,2191],[1,2,3,4,6,9,13,14,15,17,18,21,22,25,28,29,61,63,66,67,68,84,91,96,
97,102,106,125,131,255,264,267,270,279,292,294,295,297,299,303,306,369,671,
682,715,721,722,731,748,750,776,777,781,784,798,1231,1275,1313,1336,1760,1816,
1817,2192],[1,2,3,4,9,10,11,14,15,21,22,23,24,25,61,63,64,67,68,70,71,72,73,
75,76,91,92,93,102,103,123,129,254,264,265,268,279,282,294,295,298,299,304,
307,309,310,311,312,313,314,321,322,367,672,673,674,675,676,715,719,720,748,
751,757,758,788,789,790,799,800,801,804,805,1234,1235,1236,1237,1238,1239,
1240,1241,1242,1312,1405,1761,1762,1763,1764,1765,1766,1767,2193],[1,2,3,5,6,
9,10,11,14,16,17,26,41,42,43,61,63,64,65,66,70,72,75,94,114,115,154,160,254,
265,266,267,278,281,284,285,286,287,309,353,354,383,672,673,674,723,725,726,
744,745,752,753,834,871,874,1234,1273,1330,1472,1768,1808,1809,2194],[1,3,5,6,
9,10,11,23,26,28,41,42,49,64,65,66,67,69,70,71,136,154,157,254,281,282,283,
284,285,288,290,292,293,311,353,354,480,673,675,752,754,755,760,762,834,835,
1236,1273,1358,1469,1768,1810,2195],[1,2,3,4,5,6,9,10,11,15,16,18,26,36,41,42,
43,44,61,64,65,66,68,70,72,73,76,104,114,116,154,161,197,198,254,266,268,270,
281,284,285,286,289,291,312,353,354,413,673,674,676,725,727,729,752,756,761,
763,834,871,872,875,1237,1273,1332,1474,1768,1809,1811,2196],[1,3,5,6,9,13,23,
26,28,41,42,49,64,65,66,67,69,81,83,84,136,154,157,255,281,282,283,284,285,
288,290,292,293,333,339,340,480,677,679,681,682,685,752,754,755,760,762,849,
1243,1244,1245,1249,1253,1259,1260,1265,1270,1358,1769,1772,1773,1782,1788,
2197],[1,2,3,4,5,6,9,11,12,15,16,18,26,36,41,42,43,44,61,64,65,66,68,71,75,76,
79,104,114,116,154,161,197,198,256,266,268,270,281,284,285,286,289,291,321,
354,355,413,678,687,688,725,727,729,752,756,761,763,835,874,875,877,1246,1274,
1332,1480,1770,1812,1813,2198],[1,3,5,6,9,13,23,26,28,43,44,64,65,66,67,69,81,
83,84,136,160,161,255,281,282,283,286,287,288,291,292,333,346,349,483,677,679,
681,682,685,753,754,756,764,765,852,1243,1244,1245,1249,1253,1261,1266,1268,
1359,1771,1772,1774,1783,1789,2199],[1,3,5,6,7,8,9,13,23,24,26,28,29,32,35,45,
51,64,65,66,67,69,81,83,84,86,87,88,89,136,140,142,143,147,164,176,255,281,
282,283,288,292,333,334,335,344,345,350,351,486,677,679,681,682,684,685,686,
754,851,1243,1244,1245,1247,1249,1250,1251,1253,1254,1264,1269,1772,1775,1777,
1778,1779,1786,1792,2200],[1,3,4,5,6,9,13,23,25,26,28,33,36,37,64,65,66,67,69,
77,81,82,83,84,136,139,149,151,165,255,281,282,283,288,292,327,328,329,333,
336,485,677,679,680,681,682,685,754,843,1243,1244,1245,1248,1249,1252,1253,
1255,1256,1772,1776,1780,1781,1787,2201],[1,3,5,6,9,13,23,26,28,44,54,64,65,
66,67,69,81,83,84,136,158,169,255,281,282,283,288,292,333,341,342,489,677,679,
681,682,685,754,850,1243,1244,1245,1249,1253,1262,1272,1772,1784,1791,2202],[
1,3,5,6,8,9,13,23,26,28,29,35,46,53,64,65,66,67,69,81,83,84,88,89,136,142,159,
168,178,255,281,282,283,288,292,333,335,347,348,352,488,677,679,681,682,685,
686,754,853,1243,1244,1245,1249,1250,1253,1254,1267,1271,1772,1777,1785,1790,
1793,2203],[1,3,5,6,9,13,24,26,29,41,42,64,65,66,81,83,84,143,154,159,255,281,
284,285,333,339,340,497,679,681,682,752,849,1247,1249,1250,1259,1260,1778,
1782,1785,2204],[1,3,5,6,9,13,24,26,29,43,44,64,65,66,81,83,84,143,158,160,
255,281,286,287,333,341,342,500,679,681,682,753,850,1247,1249,1250,1261,1262,
1778,1783,1784,2205],[1,3,5,6,8,9,13,24,26,28,29,35,42,46,49,53,64,65,66,69,
81,83,84,88,89,143,147,157,168,178,255,281,283,285,290,293,333,335,347,348,
352,503,679,681,682,685,686,755,853,1247,1249,1250,1253,1254,1265,1267,1270,
1271,1778,1779,1788,1790,1793,2206],[1,3,5,6,9,13,24,26,29,43,44,54,64,65,66,
81,83,84,143,161,169,255,281,286,291,333,346,349,506,679,681,682,756,852,1247,
1249,1250,1266,1268,1272,1778,1789,1791,2207],[1,3,4,5,6,9,13,25,26,36,37,41,
42,44,64,65,66,77,81,82,83,84,149,154,158,197,199,255,281,284,285,327,328,329,
333,336,339,340,341,342,513,679,680,681,682,752,843,844,845,849,850,854,855,
1248,1249,1255,1256,1259,1260,1262,1486,1780,1782,1784,1794,1795,2208],[1,3,4,
5,6,9,13,25,26,29,36,37,43,64,65,66,77,81,82,83,84,149,159,160,255,281,286,
287,327,328,329,333,336,516,679,680,681,682,753,843,1248,1249,1250,1255,1256,
1261,1780,1783,1785,2209],[1,3,4,5,6,9,13,25,26,28,36,37,42,49,54,64,65,66,69,
77,81,82,83,84,149,157,169,206,255,281,283,285,290,293,327,328,329,333,336,
518,679,680,681,682,685,755,843,1248,1249,1253,1255,1256,1265,1270,1272,1780,
1788,1791,1799,2210],[1,3,4,5,6,8,9,13,25,26,35,36,37,43,44,46,53,64,65,66,77,
81,82,83,84,88,89,149,161,168,202,203,255,281,286,291,327,328,329,333,335,336,
346,347,348,349,352,521,679,680,681,682,686,756,843,847,848,852,853,857,858,
1248,1249,1254,1255,1256,1266,1267,1268,1271,1487,1780,1789,1790,1797,1798,
2211],[1,3,5,6,7,8,9,13,26,32,35,41,42,45,46,51,53,64,65,66,81,83,84,86,87,88,
89,154,164,168,213,215,255,281,284,285,333,334,335,339,340,344,345,347,348,
350,351,352,530,679,681,682,684,686,752,849,851,853,860,861,863,864,1249,1251,
1254,1259,1260,1264,1267,1269,1271,1490,1782,1786,1790,1801,1803,2212],[1,3,5,
6,9,13,26,33,41,42,54,64,65,66,81,83,84,154,165,169,255,281,284,285,333,339,
340,531,679,681,682,752,849,1249,1252,1259,1260,1272,1782,1787,1791,2213],[1,
3,5,6,7,8,9,13,26,32,35,43,45,51,54,64,65,66,81,83,84,86,87,88,89,160,164,169,
255,281,286,287,333,334,335,344,345,350,351,551,679,681,682,684,686,753,851,
1249,1251,1254,1261,1264,1269,1272,1783,1786,1791,2214],[1,3,5,6,8,9,13,26,33,
35,43,46,53,64,65,66,81,83,84,88,89,160,165,168,255,281,286,287,333,335,347,
348,352,552,679,681,682,686,753,853,1249,1252,1254,1261,1267,1271,1783,1787,
1790,2215],[1,3,5,6,7,8,9,13,26,32,35,43,44,45,51,64,65,66,81,83,84,86,87,88,
89,158,161,164,216,217,255,281,286,291,333,334,335,341,342,344,345,346,349,
350,351,546,679,681,682,684,686,756,850,851,852,866,867,869,870,1249,1251,
1254,1262,1264,1266,1268,1269,1491,1784,1786,1789,1806,1807,2216],[1,3,5,6,9,
13,26,28,33,42,44,49,64,65,66,69,81,83,84,157,158,165,255,281,283,285,290,293,
333,341,342,543,679,681,682,685,755,850,1249,1252,1253,1262,1265,1270,1784,
1787,1788,2217],[1,3,5,6,7,8,9,13,26,28,29,32,35,42,45,49,51,64,65,66,69,81,
83,84,86,87,88,89,157,159,164,176,178,255,281,283,285,290,293,333,334,335,344,
345,350,351,542,679,681,682,684,685,686,755,851,1249,1250,1251,1253,1254,1264,
1265,1269,1270,1785,1786,1788,1792,1793,2218],[1,3,5,6,9,13,26,29,33,43,44,64,
65,66,81,83,84,159,161,165,255,281,286,291,333,346,349,548,679,681,682,756,
852,1249,1250,1252,1266,1268,1785,1787,1789,2219],[1,4,5,7,8,9,13,36,38,40,41,
44,45,46,65,68,77,82,83,85,86,87,88,89,197,200,202,213,217,255,284,289,291,
328,330,331,336,337,338,339,341,342,343,344,345,346,347,348,604,680,681,683,
684,686,761,844,846,847,854,856,857,859,860,861,865,867,868,869,1255,1257,
1258,1259,1262,1263,1264,1266,1267,1488,1492,1794,1796,1797,1800,1801,1805,
1807,2220],[1,4,5,6,7,8,9,13,36,38,40,42,43,44,45,46,51,53,65,66,68,77,82,83,
84,85,86,87,88,89,198,199,200,202,203,215,216,255,285,286,289,328,330,331,336,
337,338,340,341,342,343,344,345,347,348,349,350,351,352,605,680,681,682,683,
684,686,763,845,846,848,855,856,858,862,863,864,865,866,868,870,1255,1257,
1258,1260,1262,1263,1264,1267,1268,1269,1271,1489,1493,1795,1796,1798,1802,
1803,1805,1806,2221],[1,2,3,4,5,6,9,10,11,15,16,18,26,36,41,42,43,44,63,65,67,
68,69,70,71,72,73,75,76,104,114,116,154,161,197,198,254,278,279,280,284,287,
288,289,290,291,312,321,353,354,413,672,675,676,744,746,747,760,761,765,766,
834,835,871,872,874,875,1235,1273,1352,1474,1480,1808,1810,1811,2222],[1,2,3,
5,6,9,10,11,14,16,17,26,41,42,43,61,65,67,69,70,71,72,94,114,115,154,160,254,
264,266,269,284,286,288,290,309,353,354,383,674,675,717,725,728,760,764,834,
835,871,1238,1273,1321,1472,1809,1810,2223],[1,3,5,6,9,10,11,21,26,27,41,42,
47,65,67,69,70,71,124,154,155,254,284,288,290,294,296,301,304,307,353,354,441,
675,760,767,770,834,835,1239,1273,1364,1417,1420,1810,2224],[1,3,4,5,6,9,10,
11,25,26,36,37,41,42,44,65,67,68,69,70,71,73,76,149,154,158,197,199,254,284,
288,289,290,291,295,300,314,322,353,354,513,675,676,760,761,768,771,775,834,
835,872,875,1240,1273,1365,1475,1481,1810,1811,2225],[1,3,5,6,9,10,11,24,26,
29,41,42,65,67,69,70,71,143,154,159,254,284,288,290,297,298,313,353,354,497,
675,760,769,772,834,835,1241,1273,1366,1471,1810,2226],[1,3,5,6,9,10,11,22,26,
41,42,48,65,67,69,70,71,130,154,156,254,284,288,290,299,302,310,353,354,463,
675,760,773,774,834,835,1242,1273,1367,1473,1810,2227],[1,3,5,6,9,13,21,26,27,
41,42,47,65,67,69,83,124,154,155,255,284,288,290,294,296,301,303,306,339,441,
681,760,767,770,783,796,1259,1275,1364,1386,1419,1814,2228],[1,3,5,6,9,11,12,
21,26,27,41,42,47,65,67,69,124,154,155,256,284,288,290,294,296,301,305,308,
354,355,356,357,441,760,767,770,1274,1276,1277,1364,1418,1421,2229],[1,3,5,6,
9,13,21,26,27,43,44,65,67,69,83,124,158,161,255,286,287,288,291,294,296,303,
306,444,681,765,767,771,783,796,1261,1275,1376,1389,1814,2230],[1,3,5,6,9,13,
21,23,24,26,27,28,29,64,65,66,67,69,81,83,84,123,124,125,136,137,143,144,255,
281,282,283,288,292,294,296,297,298,303,306,333,438,679,681,682,754,757,759,
767,769,776,778,782,783,784,796,797,798,1249,1275,1360,1383,1422,1814,1815,
1817,2231],[1,2,3,5,6,9,13,14,16,17,21,22,26,27,61,63,65,67,69,83,91,94,95,
124,130,255,264,266,269,278,288,294,296,299,303,306,368,671,681,715,717,718,
767,774,781,783,796,1230,1275,1311,1380,1814,1816,2232],[1,3,5,6,9,13,21,26,
27,28,29,42,49,65,66,67,69,83,84,124,125,157,159,170,255,285,288,292,293,294,
296,297,303,306,340,443,681,682,762,767,772,776,779,783,784,796,798,1260,1275,
1368,1388,1423,1814,1817,2233],[1,3,5,6,9,13,21,26,27,43,48,65,67,69,83,124,
156,160,255,286,287,288,294,296,302,303,306,442,681,764,767,773,783,796,1261,
1275,1372,1387,1814,2234],[1,2,3,4,9,10,11,14,15,21,22,23,24,25,61,63,64,70,
72,73,75,91,92,93,102,103,123,129,254,265,303,304,305,309,310,311,312,313,314,
367,672,673,674,731,781,782,788,789,790,793,800,801,804,805,1234,1278,1334,
1405,1820,1821,1822,2235],[1,2,3,4,7,9,10,11,14,15,19,21,22,30,31,32,33,63,67,
68,70,71,72,73,74,75,76,91,98,99,126,127,132,133,254,279,303,304,305,309,310,
312,315,316,317,318,321,323,370,672,675,676,781,785,786,788,791,792,793,794,
795,802,803,806,807,1235,1278,1381,1406,1414,1820,1823,1824,2236],[1,3,7,9,10,
11,21,23,24,30,32,64,67,70,71,74,123,126,138,140,146,254,282,303,304,305,311,
313,315,317,439,673,675,782,785,789,791,794,808,811,815,1236,1278,1384,1407,
1821,1823,2237],[1,2,3,4,9,10,11,15,21,23,24,25,31,33,61,64,68,70,72,73,76,
102,107,109,123,127,139,145,254,268,303,304,305,311,312,313,314,316,318,406,
673,674,676,731,782,786,789,790,792,795,809,810,813,814,1237,1278,1337,1408,
1821,1822,1824,2238],[1,2,3,4,7,9,10,11,14,15,19,21,25,30,31,32,38,61,67,70,
71,72,73,74,98,102,108,126,150,254,264,303,304,305,309,312,314,315,316,317,
323,324,396,674,675,731,785,790,791,794,802,812,816,1238,1278,1329,1409,1822,
1823,2239],[1,3,7,9,10,11,21,30,32,55,67,70,71,74,126,181,254,294,303,304,305,
307,315,317,325,451,675,785,791,794,817,1239,1278,1396,1410,1415,1823,2240],[
1,3,4,7,9,10,11,21,25,30,31,32,33,38,67,68,70,71,73,74,76,126,127,150,182,188,
254,295,303,304,305,314,315,316,317,318,322,324,452,675,676,785,786,791,792,
794,795,816,818,821,1240,1278,1397,1411,1416,1823,1824,2241],[1,3,7,9,10,11,
21,24,30,32,57,67,70,71,74,126,146,184,254,298,303,304,305,313,315,317,326,
453,675,785,791,794,815,819,1241,1278,1398,1412,1823,2242],[1,3,7,9,10,11,21,
22,30,32,33,67,70,71,74,126,132,182,254,299,303,304,305,310,315,317,318,454,
675,785,791,794,806,818,1242,1278,1399,1413,1823,2243],[1,3,5,6,9,10,11,21,26,
27,41,42,47,65,70,124,154,155,254,284,303,304,305,353,354,356,441,783,834,
1273,1278,1386,1417,1418,2244],[1,3,5,6,9,11,12,21,26,27,41,42,47,65,71,124,
154,155,256,284,303,307,308,354,355,357,441,783,835,1274,1279,1386,1420,1421,
2245],[1,3,7,9,13,21,30,32,55,67,126,181,255,294,303,306,359,451,785,1275,
1396,1424,2246],[1,3,7,9,11,12,21,30,32,55,67,71,126,181,256,294,303,305,307,
308,360,451,785,794,1276,1279,1396,1415,1425,2247],[1,3,6,8,9,11,12,21,34,35,
47,53,59,69,71,128,193,194,256,301,303,307,308,356,357,361,458,787,836,1277,
1279,1403,1426,1427,2248],[1,3,7,10,12,13,21,30,32,55,70,74,126,181,257,304,
306,308,315,317,325,359,360,451,791,817,1280,1290,1410,1424,1425,2249],[1,3,7,
11,12,13,21,30,32,55,71,126,181,258,305,306,307,308,359,360,451,794,1281,1415,
1424,1425,2250],[1,3,5,6,10,12,13,21,26,27,41,42,47,70,83,124,154,155,257,304,
306,308,339,353,355,357,441,796,834,1280,1292,1417,1419,1421,2251],[1,3,5,6,
11,12,13,21,26,27,41,42,47,71,83,124,154,155,258,305,306,307,308,339,354,355,
356,357,441,796,835,1281,1293,1418,1419,1420,1421,2252],[1,2,3,4,10,12,13,14,
15,21,22,23,24,25,70,72,73,77,78,81,82,91,92,93,102,103,123,129,257,304,309,
310,311,312,313,314,319,320,327,367,690,691,692,716,788,789,790,800,801,804,
805,822,825,826,1282,1286,1314,1405,1827,1828,1829,2253],[1,2,3,4,7,10,12,13,
14,15,19,23,30,31,62,70,72,73,74,77,80,86,92,98,107,138,257,272,309,311,312,
315,316,319,320,323,374,689,690,695,716,732,800,802,808,809,823,829,1282,1283,
1317,1428,1827,1830,1831,2254],[1,2,3,4,7,10,12,13,14,15,19,23,24,25,32,33,38,
70,72,73,74,77,79,85,87,92,93,99,108,109,139,140,257,309,311,312,313,314,317,
318,319,320,323,324,330,375,690,693,694,716,800,801,803,810,811,812,813,824,
830,831,1282,1287,1318,1429,1827,1832,1833,2255],[1,3,7,10,12,13,21,23,24,30,
32,70,74,80,81,86,87,123,126,138,140,146,257,304,311,313,315,317,319,320,334,
439,691,694,695,789,791,808,811,815,823,825,829,831,1282,1288,1407,1450,1828,
1830,1833,2256],[1,2,3,4,10,12,13,15,21,23,24,25,31,33,62,70,72,73,79,81,85,
102,107,109,123,127,139,145,257,274,304,311,312,313,314,316,318,319,320,406,
689,691,693,732,789,790,792,809,810,813,814,824,825,830,1282,1284,1341,1408,
1828,1831,1832,2257],[1,3,4,7,10,12,13,22,23,25,30,31,33,38,70,73,74,78,79,80,
82,85,86,129,132,138,139,150,257,310,311,314,315,316,318,319,320,324,332,337,
461,692,693,695,804,806,808,810,816,822,823,824,826,829,830,1282,1289,1434,
1448,1453,1829,1830,1832,2258],[1,2,3,4,7,10,12,13,15,19,22,23,24,25,31,32,38,
62,70,72,73,74,78,82,87,103,107,108,129,133,140,145,257,276,310,311,312,313,
314,316,317,319,320,323,324,410,689,692,694,732,804,805,807,809,811,812,814,
822,826,831,1282,1285,1342,1435,1829,1831,1833,2259],[1,3,5,6,10,12,13,23,26,
28,41,42,49,70,83,136,154,157,257,311,319,320,339,353,355,358,480,827,834,
1282,1292,1455,1469,1470,2260],[1,3,7,10,12,13,30,32,55,57,70,74,80,81,86,87,
181,186,236,237,238,257,315,317,325,326,334,359,360,591,691,694,695,817,820,
838,839,840,885,887,888,891,1288,1290,1444,1510,1835,1836,1837,2261],[1,4,7,
10,12,13,38,57,73,74,78,79,80,82,85,86,207,248,249,257,324,326,332,337,616,
692,693,695,837,841,842,893,894,895,1289,1485,1516,1517,1518,1838,2262],[1,3,
4,5,6,10,12,13,25,26,36,37,41,42,44,70,73,77,78,81,82,83,84,149,154,158,197,
199,257,314,327,328,329,333,336,339,340,341,342,353,355,513,690,691,692,834,
843,844,845,849,850,854,855,872,876,1286,1292,1475,1486,1839,1840,1841,2263],[
1,2,3,4,5,6,10,12,13,15,16,18,26,36,41,42,43,44,62,70,72,73,79,81,83,84,85,
104,114,116,154,161,197,198,257,271,274,275,312,333,339,340,343,346,349,353,
355,413,689,691,693,733,736,737,834,849,852,859,862,871,872,877,1284,1292,
1346,1474,1839,1842,1843,2264],[1,3,5,6,7,8,10,12,13,26,32,35,41,42,45,46,51,
53,70,74,80,81,83,84,86,87,88,89,154,164,168,213,215,257,317,333,334,335,339,
340,344,345,347,348,350,351,352,353,355,530,691,694,695,834,849,851,853,860,
861,863,864,873,878,1288,1292,1478,1490,1839,1844,1845,2265],[1,2,4,5,7,8,10,
12,13,16,19,20,36,41,43,44,45,46,62,72,73,74,77,80,83,86,88,114,117,118,197,
203,213,216,257,271,272,273,323,328,339,341,344,347,349,353,355,431,689,690,
695,733,734,735,844,848,860,866,871,872,873,878,1283,1292,1345,1494,1840,1842,
1844,2266],[1,4,5,7,8,10,12,13,36,38,40,41,44,45,46,73,74,77,79,83,85,87,89,
197,200,202,213,217,257,324,328,330,331,339,341,343,345,346,348,353,355,604,
690,693,694,844,846,847,859,861,865,867,872,873,877,1287,1292,1488,1495,1840,
1843,1845,2267],[1,2,4,5,7,8,10,12,13,16,19,20,36,41,43,44,45,46,62,72,73,74,
78,82,83,87,89,114,117,118,197,203,213,216,257,271,276,277,323,336,339,342,
345,348,349,353,355,431,689,692,694,733,738,739,854,858,861,870,871,872,873,
876,1285,1292,1347,1494,1841,1842,1845,2268],[1,4,5,7,8,10,12,13,36,38,40,41,
44,45,46,73,74,78,79,80,82,83,85,86,88,197,200,202,213,217,257,324,332,336,
337,338,339,342,343,344,346,347,353,355,604,692,693,695,854,856,857,859,860,
868,869,872,873,876,877,878,1289,1292,1492,1495,1498,1841,1843,1844,2269],[1,
4,5,7,8,11,12,13,36,38,40,41,44,45,46,76,77,78,79,80,83,85,87,89,197,200,202,
213,217,258,328,330,331,332,339,341,343,345,346,348,354,355,604,696,697,698,
844,846,847,859,861,865,867,875,876,877,878,1291,1293,1488,1498,1846,1847,
1848,2270],[1,5,7,8,10,12,13,41,45,46,55,56,59,74,83,213,218,219,257,325,339,
353,355,359,360,361,622,873,879,1290,1292,1496,1499,1500,2271],[1,2,3,4,5,6,
15,16,18,22,24,26,29,36,41,42,43,44,48,60,103,104,106,114,116,130,143,154,156,
159,161,197,198,259,260,261,262,263,409,413,416,463,466,497,499,699,700,701,
702,703,704,705,706,707,708,709,710,711,979,1294,1295,1296,1297,1298,1299,
1300,1301,1302,1303,1304,1305,1306,1849,1850,1851,1852,1853,1854,1855,2272],[
1,7,10,55,74,90,236,325,712,838,1529,2273],[1,4,5,10,36,41,44,73,90,197,353,
362,363,712,872,899,900,901,1307,1528,1856,2274],[1,4,5,13,36,41,44,77,83,90,
197,328,339,341,362,363,714,844,899,900,901,1308,1309,1528,1858,1859,1860,
2275],[1,7,12,55,80,90,236,360,713,891,1529,2276],[1,7,13,55,86,90,236,359,
714,887,1529,2277],[1,7,12,55,80,90,236,360,713,891,1529,2278],[1,7,13,55,57,
87,90,238,359,714,888,2279],[1,3,13,21,23,24,81,90,123,306,320,714,797,825,
2280],[1,2,3,4,9,10,11,15,60,63,67,68,70,71,72,73,75,76,254,259,260,263,279,
312,321,364,365,366,672,675,676,700,902,904,905,907,908,909,910,911,912,1235,
1310,1531,1543,1546,1861,1862,1863,2281],[1,3,9,10,11,24,60,67,70,71,254,260,
298,313,364,365,366,675,704,904,908,911,1241,1310,1540,1545,1862,2282],[1,3,9,
10,11,22,60,67,70,71,254,260,299,310,364,365,366,675,702,904,908,911,1242,
1310,1541,1544,1862,2283],[1,5,9,10,11,41,60,65,254,261,284,353,354,364,365,
366,706,903,1273,1310,1533,1547,1548,2284],[1,3,9,13,21,60,64,67,255,260,294,
303,306,364,677,904,1275,1549,2285],[1,3,9,10,11,21,60,64,70,254,260,303,304,
305,365,673,908,1278,1549,2286],[1,3,9,11,12,21,60,64,71,256,260,303,307,308,
366,678,911,1279,1549,2287],[1,3,10,12,13,23,60,70,81,257,260,311,319,320,365,
691,908,1282,1550,2288],[1,2,3,4,5,6,9,14,15,16,17,18,21,22,23,24,25,26,27,28,
29,36,37,41,42,43,44,47,48,49,61,63,64,65,66,67,68,69,91,92,93,94,95,96,97,
102,103,104,105,106,114,115,116,119,123,124,125,129,130,131,136,137,143,144,
149,154,155,156,157,158,159,160,161,170,197,198,199,204,264,265,266,267,268,
269,270,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,
295,296,297,298,299,300,301,302,367,368,369,372,373,378,379,383,384,385,386,
405,409,413,414,415,416,438,441,442,443,444,460,463,464,465,466,480,481,482,
483,497,498,499,500,513,514,515,516,715,717,718,719,720,721,722,723,724,725,
726,727,728,729,730,744,745,746,747,748,749,750,751,752,753,754,755,756,757,
758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,
777,778,779,780,913,916,917,925,926,935,936,973,974,979,980,997,998,1028,1029,
1311,1312,1313,1321,1322,1323,1324,1325,1326,1327,1328,1330,1331,1332,1333,
1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,
1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1552,1864,
1865,1866,1879,1880,1881,1882,1904,1905,1906,1907,1908,1909,1910,1911,2289],[
1,2,3,4,5,6,7,8,9,14,15,16,17,18,19,20,21,22,25,26,27,30,31,32,33,34,35,36,37,
38,39,40,45,50,51,55,56,61,65,67,69,91,94,95,98,99,100,101,102,104,105,108,
110,112,117,120,122,124,126,127,128,130,132,133,134,135,149,150,152,162,163,
164,165,171,172,173,181,182,183,188,189,190,191,192,200,205,218,225,264,266,
269,288,294,296,299,303,368,370,371,387,388,391,392,396,397,399,400,404,405,
407,418,425,445,446,451,452,454,455,457,467,468,472,475,476,479,517,524,553,
554,561,570,574,715,717,718,731,767,774,783,785,787,918,921,923,952,953,961,
962,1012,1013,1015,1043,1311,1329,1335,1338,1390,1396,1399,1400,1559,1867,
1883,1884,1935,1938,2290],[1,2,3,4,7,9,14,15,19,21,22,23,24,25,30,31,32,33,38,
55,57,61,63,64,67,68,91,92,93,98,99,102,103,107,108,109,123,126,127,129,132,
133,138,139,140,145,146,150,181,182,184,186,188,207,264,265,268,279,282,294,
295,298,299,303,367,370,374,375,380,396,397,398,402,406,410,439,451,452,453,
454,461,472,473,474,494,495,509,510,522,715,719,720,731,748,751,757,758,781,
782,785,786,914,921,922,933,941,942,1002,1003,1033,1312,1329,1334,1337,1381,
1384,1396,1397,1398,1399,1555,1867,1885,1886,1916,1917,1925,1926,2291],[1,2,3,
4,6,7,9,14,15,17,18,19,21,22,25,28,29,30,31,32,33,38,39,50,55,58,61,63,66,67,
68,91,96,97,98,99,102,106,108,111,113,120,125,126,127,131,132,133,150,151,153,
175,176,179,181,182,185,188,208,231,264,267,270,279,292,294,295,297,299,303,
369,370,393,394,395,396,397,401,403,408,428,449,451,452,454,456,471,472,477,
478,523,525,577,578,587,715,721,722,731,748,750,776,777,781,784,785,786,920,
921,924,965,969,970,1021,1022,1051,1313,1329,1336,1339,1381,1394,1396,1397,
1399,1401,1563,1867,1887,1888,1916,1919,1944,1945,2292],[1,2,3,4,5,6,13,14,15,
16,17,18,21,22,23,24,25,26,27,28,29,36,37,41,42,43,44,47,48,49,77,81,82,83,84,
91,92,93,94,95,96,97,102,103,104,105,106,114,115,116,119,123,124,125,129,130,
131,136,137,143,144,149,154,155,156,157,158,159,160,161,170,197,198,199,204,
320,327,328,329,333,336,339,340,341,342,367,368,369,372,373,378,379,383,384,
385,386,405,409,413,414,415,416,438,441,442,443,444,460,463,464,465,466,480,
481,482,483,497,498,499,500,513,514,515,516,716,825,826,827,828,843,844,845,
849,850,854,855,913,916,917,925,926,935,936,973,974,979,980,997,998,1028,1029,
1314,1315,1316,1449,1452,1455,1456,1457,1458,1486,1552,1868,1871,1872,1986,
1987,1991,1992,2293],[1,2,3,4,5,6,7,8,13,14,15,16,17,18,19,20,21,22,23,24,25,
26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,45,50,51,62,77,81,82,83,84,85,86,
87,88,89,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,
110,111,112,113,117,120,122,123,124,125,126,127,128,129,130,131,132,133,134,
135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,
162,163,164,165,171,172,173,175,176,179,189,200,205,271,272,273,274,275,276,
277,320,327,328,329,330,331,333,334,335,336,337,338,343,344,345,350,351,367,
368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,387,388,391,392,
393,394,395,396,398,399,401,405,406,407,408,409,410,411,412,417,418,419,424,
425,426,427,428,438,439,440,445,446,449,460,461,462,467,468,471,484,485,486,
491,492,501,502,507,517,716,732,734,736,738,740,741,742,743,825,826,827,828,
829,830,831,832,833,843,846,851,856,913,914,915,918,920,927,928,931,932,937,
940,952,954,975,981,999,1030,1314,1315,1316,1317,1318,1319,1320,1340,1341,
1342,1343,1344,1348,1449,1450,1451,1452,1453,1454,1459,1460,1461,1466,1467,
1553,1868,1869,1870,1873,1874,1877,1878,1899,1900,1988,1993,2294],[1,2,3,4,5,
6,8,13,14,15,16,17,18,21,22,23,24,25,26,27,28,29,34,35,36,37,42,43,44,46,49,
52,53,54,77,81,82,83,84,88,89,91,92,93,94,95,96,97,102,103,104,105,106,115,
116,118,121,123,124,125,128,129,130,131,136,137,141,142,143,144,147,148,149,
157,158,159,161,166,167,168,169,170,174,177,178,180,201,202,203,206,320,327,
328,329,333,335,336,346,347,348,349,352,367,368,369,372,373,378,379,385,386,
389,390,405,409,420,421,422,423,438,440,443,444,447,448,450,460,465,466,469,
470,487,488,489,490,493,503,504,505,506,508,518,519,520,521,716,825,826,827,
828,832,833,843,847,848,852,853,857,858,913,917,919,929,930,938,939,976,977,
982,983,1000,1001,1031,1032,1314,1315,1316,1449,1451,1452,1462,1463,1464,1465,
1468,1487,1554,1868,1875,1876,1989,1990,1994,1995,2295],[1,2,3,4,5,6,7,8,13,
14,15,16,17,18,19,20,23,26,28,30,31,34,36,39,41,42,43,44,45,46,49,50,52,62,77,
83,86,88,92,94,96,98,100,104,107,110,111,114,115,116,117,118,120,136,138,141,
154,157,160,161,162,163,166,167,175,177,197,198,201,203,213,214,216,224,271,
272,273,320,328,339,341,344,347,349,372,374,376,383,385,387,389,393,413,414,
417,420,421,431,432,480,483,484,487,490,528,529,540,541,549,550,716,732,733,
734,735,827,829,832,844,848,860,866,925,927,929,945,949,984,987,1058,1067,
1315,1317,1319,1340,1345,1455,1458,1459,1462,1465,1565,1871,1873,1875,1897,
1898,1996,2005,2296],[1,2,3,4,5,6,7,8,13,14,15,16,17,18,19,20,23,24,25,26,28,
29,32,33,35,36,37,38,40,41,42,43,44,45,46,49,51,53,54,77,83,85,87,89,92,93,94,
96,97,99,101,104,108,109,112,113,114,115,116,117,118,121,122,136,139,140,142,
143,147,149,151,154,157,158,159,160,161,164,165,168,169,176,178,197,198,199,
200,202,203,206,213,215,216,217,320,328,330,331,339,341,343,345,346,348,372,
375,377,378,381,383,385,386,388,390,394,413,414,418,419,422,423,431,433,480,
483,485,486,488,489,497,500,503,506,513,516,518,521,530,531,542,543,546,548,
551,552,604,605,716,827,830,831,833,844,846,847,859,861,865,867,925,928,930,
935,938,946,950,985,986,988,989,1059,1060,1068,1069,1315,1318,1320,1455,1458,
1460,1461,1463,1464,1488,1566,1871,1874,1876,1997,1998,2006,2007,2297],[1,2,3,
4,5,6,7,8,13,14,15,16,17,18,19,20,23,26,27,28,29,30,31,34,35,36,39,42,44,45,
46,47,48,50,51,52,53,54,62,77,83,84,86,88,89,92,94,96,98,100,104,107,110,111,
116,117,118,119,120,121,136,137,138,141,142,155,156,158,159,162,163,166,167,
168,169,170,171,174,175,178,179,180,193,196,199,202,209,210,215,217,222,223,
271,272,273,320,328,340,342,344,346,348,350,352,372,374,376,384,386,387,389,
390,393,415,416,417,422,423,429,433,434,481,482,484,488,489,491,493,532,533,
536,537,544,545,547,562,568,716,732,734,737,739,827,828,829,832,833,845,847,
863,869,926,927,930,947,951,955,957,990,993,1061,1064,1315,1317,1319,1340,
1349,1456,1457,1459,1463,1464,1466,1468,1567,1872,1873,1876,1901,1902,1999,
2002,2298],[1,2,3,4,5,6,7,8,13,14,15,16,17,18,19,20,23,24,25,26,27,28,29,32,
33,34,35,36,37,38,40,42,43,44,45,46,47,48,49,50,51,52,53,77,83,84,85,87,88,89,
92,93,94,96,97,99,101,104,108,109,112,113,115,116,117,118,119,122,136,137,139,
140,141,142,143,144,147,148,149,151,155,156,157,158,159,161,164,165,166,167,
170,173,174,176,177,178,180,198,199,200,201,202,203,204,214,215,216,217,222,
320,328,330,331,340,342,343,345,347,349,351,352,372,375,377,378,381,384,385,
386,388,389,394,415,416,418,419,420,421,432,433,481,482,485,486,487,490,492,
493,498,499,504,505,508,514,515,519,520,534,535,538,539,542,543,546,548,569,
605,606,716,827,828,830,831,832,833,845,846,848,862,864,868,870,926,928,929,
936,939,948,950,991,992,994,995,1062,1063,1065,1066,1315,1318,1320,1456,1457,
1460,1461,1462,1465,1467,1468,1489,1568,1872,1874,1875,2000,2001,2003,2004,
2299],[1,2,3,4,7,13,14,15,19,23,30,31,32,33,55,57,62,77,86,92,98,99,107,138,
181,182,184,186,188,236,237,238,249,272,320,359,374,397,402,494,495,591,597,
716,732,829,887,895,933,1076,1077,1317,1572,2018,2300],[1,2,3,4,5,6,7,8,9,14,
15,16,17,18,19,20,21,25,26,27,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,
47,50,51,52,53,61,65,67,69,94,98,100,102,104,105,108,110,112,114,115,116,117,
118,120,122,124,126,128,149,150,152,154,155,158,160,161,162,163,164,166,167,
168,171,173,174,189,193,197,198,199,200,201,202,203,205,213,214,215,216,217,
222,264,266,269,284,286,288,290,303,383,387,389,396,399,405,407,413,415,418,
420,422,425,431,432,433,441,444,445,447,513,514,517,520,521,528,529,530,532,
534,544,546,549,550,562,604,605,606,717,725,728,731,760,764,783,785,787,945,
952,955,973,976,985,991,1005,1011,1103,1104,1321,1329,1335,1338,1386,1389,
1390,1392,1583,1883,1891,1894,1928,1934,2301],[1,2,3,4,5,6,7,8,9,14,15,16,17,
18,19,20,21,25,26,27,30,31,32,34,35,36,37,38,39,40,42,45,46,47,48,50,51,52,53,
54,56,59,61,65,67,69,94,98,100,102,104,105,108,110,112,117,119,120,121,122,
124,126,128,149,150,152,155,156,162,163,164,166,168,169,171,173,174,183,189,
191,193,194,195,196,200,205,209,210,211,212,215,219,222,223,226,227,228,235,
264,266,269,288,290,296,301,302,303,384,387,390,396,399,405,407,418,425,429,
430,434,435,436,445,447,455,458,459,517,526,527,532,533,536,537,555,556,563,
564,572,575,576,611,612,613,717,730,731,770,773,783,785,787,947,952,956,978,
996,1016,1019,1108,1109,1322,1329,1335,1338,1390,1392,1400,1403,1404,1587,
1883,1896,1939,1942,2302],[1,2,3,4,5,6,7,8,9,14,15,16,17,18,19,20,21,22,23,24,
25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,45,50,51,61,63,64,65,66,67,68,
69,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,
112,113,117,120,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,
137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,162,163,
164,165,171,172,173,175,176,179,189,200,205,264,265,266,267,268,269,270,278,
279,280,281,282,283,288,289,292,303,367,368,369,370,371,372,373,374,375,376,
377,378,379,380,381,382,387,388,391,392,393,394,395,396,398,399,401,405,406,
407,408,409,410,411,412,417,418,419,424,425,426,427,428,438,439,440,445,446,
449,460,461,462,467,468,471,484,485,486,491,492,501,502,507,517,717,719,721,
723,724,727,731,746,754,781,782,783,784,785,786,787,913,914,915,918,920,927,
928,931,932,937,940,952,954,975,981,999,1030,1323,1329,1334,1335,1336,1337,
1338,1339,1380,1381,1382,1383,1384,1385,1390,1391,1394,1553,1883,1885,1887,
1889,1890,1893,1914,1922,2303],[1,2,3,4,5,6,7,8,9,14,15,16,17,18,19,20,21,24,
25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,45,50,51,57,58,61,65,67,68,69,93,
94,97,98,100,102,104,105,108,110,112,117,120,122,124,126,127,128,143,145,146,
148,149,150,152,153,162,163,164,165,171,172,173,179,182,184,185,188,189,190,
192,200,205,207,208,220,229,264,266,269,288,289,295,297,298,300,303,378,380,
382,387,395,396,399,402,403,405,407,418,425,445,446,452,453,456,457,501,502,
509,511,517,522,523,524,525,554,557,561,571,574,607,610,717,720,722,731,768,
769,783,785,786,787,937,941,943,952,959,969,972,1013,1014,1093,1107,1324,1329,
1335,1338,1390,1391,1397,1398,1401,1402,1578,1883,1886,1888,1936,1937,2304],[
1,2,3,4,5,6,7,8,9,14,15,16,17,18,19,20,21,25,26,27,28,29,30,31,32,34,35,36,37,
38,39,40,42,43,44,45,48,49,50,51,52,54,61,65,66,67,69,94,98,100,102,104,105,
108,110,112,115,116,117,120,122,124,125,126,128,149,150,152,156,157,159,160,
161,162,163,164,167,169,170,171,173,175,176,177,178,179,180,189,196,198,200,
201,204,205,206,214,216,223,224,264,266,269,285,287,288,291,292,293,303,385,
387,396,399,405,407,414,416,418,421,423,425,432,442,443,445,448,449,450,515,
516,517,518,519,536,538,540,541,542,547,549,551,568,569,585,609,717,726,729,
731,762,765,783,784,785,787,949,952,957,974,977,988,994,1007,1009,1105,1106,
1325,1329,1335,1338,1387,1388,1390,1393,1394,1395,1591,1883,1892,1895,1930,
1932,2305],[1,2,3,4,5,6,7,8,9,14,15,16,17,18,19,20,21,25,26,27,29,30,31,32,34,
35,36,37,38,39,40,44,45,50,51,54,58,61,65,67,69,94,98,100,102,104,105,108,110,
112,117,120,122,124,126,128,149,150,152,158,159,162,163,164,167,169,171,173,
179,180,185,189,195,200,205,217,221,227,230,264,266,269,288,291,297,303,386,
387,396,399,405,407,418,425,437,445,448,456,517,544,545,547,556,558,565,573,
589,608,717,731,771,772,783,785,787,951,952,958,1017,1018,1110,1111,1326,1329,
1335,1338,1390,1393,1401,1595,1883,1940,1941,2306],[1,2,3,4,6,7,8,9,14,15,18,
19,20,21,22,23,24,25,27,29,30,31,32,33,34,35,37,38,40,51,56,58,61,63,64,67,68,
69,91,92,93,95,97,98,99,100,101,102,103,105,106,107,108,109,112,113,122,123,
126,127,128,129,132,133,134,135,137,138,139,140,142,145,146,150,153,171,172,
179,182,183,185,187,188,189,190,191,192,208,264,265,268,279,280,282,295,296,
297,299,300,303,367,370,371,373,374,375,377,380,391,395,396,398,399,400,401,
403,404,406,410,424,427,439,452,454,455,456,457,461,473,475,476,477,478,479,
491,495,496,509,511,512,523,524,525,718,719,722,731,749,750,758,759,781,782,
785,786,787,914,923,924,931,934,943,944,961,963,969,971,1003,1004,1034,1035,
1327,1329,1334,1337,1381,1382,1384,1397,1399,1400,1401,1402,1556,1884,1885,
1888,1918,1919,1926,1927,2307],[1,2,3,4,6,7,8,9,14,15,17,18,19,20,21,22,24,25,
27,28,29,30,31,32,33,34,35,37,38,39,40,50,51,56,57,61,63,66,67,68,69,91,93,95,
96,97,98,99,100,101,102,103,105,106,108,109,111,112,113,120,122,125,126,127,
128,131,132,133,134,135,144,145,146,147,150,151,153,171,172,175,176,179,182,
183,184,188,189,190,191,192,207,232,264,267,270,279,280,292,295,296,298,299,
300,303,369,370,371,379,380,381,391,393,394,395,396,398,399,400,401,402,404,
408,412,426,428,449,452,453,454,455,457,471,473,474,475,476,478,479,507,509,
512,522,524,525,571,578,579,718,720,721,731,749,751,777,778,781,784,785,786,
787,920,922,923,940,941,944,961,964,966,971,972,1022,1023,1052,1053,1328,1329,
1336,1339,1381,1382,1394,1397,1398,1399,1400,1402,1564,1884,1886,1887,1917,
1918,1945,1946,2308],[1,2,3,4,5,6,9,14,15,16,17,18,21,22,23,24,25,26,27,28,29,
36,37,41,42,43,44,47,48,49,61,63,64,65,66,91,92,93,94,95,96,97,102,103,104,
105,106,114,115,116,119,123,124,125,129,130,131,136,137,143,144,149,154,155,
156,157,158,159,160,161,170,197,198,199,204,265,266,267,278,281,284,285,286,
287,303,367,368,369,372,373,378,379,383,384,385,386,405,409,413,414,415,416,
438,441,442,443,444,460,463,464,465,466,480,481,482,483,497,498,499,500,513,
514,515,516,723,725,726,731,744,745,752,753,781,782,783,784,913,916,917,925,
926,935,936,973,974,979,980,997,998,1028,1029,1330,1334,1335,1336,1380,1383,
1386,1387,1388,1389,1552,1889,1891,1892,1912,1913,1920,1921,2309],[1,2,3,4,5,
6,8,9,14,15,16,17,18,21,22,23,24,25,26,27,28,29,34,35,36,37,42,43,44,46,49,52,
53,54,61,63,64,65,66,69,91,92,93,94,95,96,97,102,103,104,105,106,115,116,118,
121,123,124,125,128,129,130,131,136,137,141,142,143,144,147,148,149,157,158,
159,161,166,167,168,169,170,174,177,178,180,201,202,203,206,265,266,267,278,
281,283,285,286,290,291,293,303,367,368,369,372,373,378,379,385,386,389,390,
405,409,420,421,422,423,438,440,443,444,447,448,450,460,465,466,469,470,487,
488,489,490,493,503,504,505,506,508,518,519,520,521,723,728,729,731,745,747,
755,756,781,782,783,784,787,913,917,919,929,930,938,939,976,977,982,983,1000,
1001,1031,1032,1331,1334,1335,1336,1380,1383,1385,1388,1389,1392,1393,1395,
1554,1889,1894,1895,1913,1915,1923,1924,2310],[1,2,3,4,5,6,9,15,16,18,21,23,
24,25,26,27,28,29,31,33,36,37,39,41,42,43,44,47,49,54,61,64,65,66,68,102,104,
105,107,109,111,113,114,116,123,124,125,127,136,137,139,143,144,145,149,151,
153,154,155,157,158,159,161,163,165,167,169,170,172,197,198,199,201,206,209,
266,268,270,281,284,285,286,289,291,303,405,406,408,413,415,417,419,421,423,
424,426,438,441,443,444,446,448,480,481,485,489,490,497,498,501,505,506,513,
514,518,519,529,531,533,535,541,543,545,548,725,727,729,731,752,756,761,763,
782,783,784,786,973,975,977,984,986,990,992,997,1001,1006,1010,1059,1062,1085,
1087,1332,1335,1337,1339,1383,1386,1388,1389,1391,1393,1604,1891,1893,1895,
1920,1924,1929,1933,2311],[1,2,3,4,5,6,8,9,15,16,18,21,23,24,25,26,27,28,29,
31,33,34,35,36,37,39,42,43,44,46,48,49,52,53,61,64,65,66,68,69,102,104,105,
107,109,111,113,115,118,123,124,125,127,128,136,137,139,141,142,143,144,145,
147,148,149,151,153,156,157,158,159,160,161,163,165,166,168,170,172,174,177,
178,180,198,201,202,203,204,210,266,268,270,281,283,285,286,287,289,290,293,
303,405,406,408,414,416,417,419,420,422,424,426,438,440,442,443,444,446,447,
450,482,483,485,487,488,493,499,500,501,503,504,508,515,516,520,521,537,539,
541,543,545,548,550,552,726,727,728,731,753,755,763,766,782,783,784,786,787,
974,975,976,987,989,993,995,998,1000,1008,1010,1065,1068,1089,1091,1333,1335,
1337,1339,1383,1385,1387,1388,1389,1391,1392,1395,1605,1892,1893,1894,1921,
1923,1931,1933,2312],[1,2,3,4,5,6,13,15,16,18,21,23,24,25,26,27,28,29,31,33,
36,37,39,41,42,43,44,47,49,54,62,81,83,84,85,102,104,105,107,109,111,113,114,
116,123,124,125,127,136,137,139,143,144,145,149,151,153,154,155,157,158,159,
161,163,165,167,169,170,172,197,198,199,201,206,209,271,274,275,320,333,339,
340,343,346,349,405,406,408,413,415,417,419,421,423,424,426,438,441,443,444,
446,448,480,481,485,489,490,497,498,501,505,506,513,514,518,519,529,531,533,
535,541,543,545,548,732,733,736,737,825,827,828,830,849,852,859,862,973,975,
977,984,986,990,992,997,1001,1006,1010,1059,1062,1085,1087,1340,1341,1343,
1346,1449,1455,1456,1460,1464,1465,1604,1897,1899,1901,1986,1990,1997,2000,
2313],[1,2,3,4,5,6,7,8,13,15,16,18,19,20,22,23,24,25,26,28,29,31,32,35,36,37,
38,39,40,41,42,43,44,45,46,48,49,51,53,62,82,83,87,89,103,104,106,107,108,111,
112,114,116,117,118,122,129,130,131,133,134,136,140,142,143,145,147,149,153,
154,156,157,158,159,161,163,164,167,168,176,178,197,198,199,200,201,202,203,
204,210,213,215,216,217,271,276,277,320,336,339,342,345,348,349,409,410,412,
413,416,417,418,421,422,427,428,431,433,460,463,465,466,468,470,480,482,486,
488,490,497,499,501,503,505,513,515,519,521,529,530,537,538,541,542,545,546,
604,605,732,733,738,739,826,827,831,833,854,858,861,870,979,981,983,984,985,
993,994,1028,1032,1037,1041,1060,1066,1085,1089,1340,1342,1344,1347,1452,1455,
1457,1461,1463,1465,1606,1897,1900,1902,1991,1995,1998,2004,2314],[1,2,3,4,5,
6,8,13,15,16,18,21,23,24,25,26,27,28,29,31,33,34,35,36,37,39,42,43,44,46,48,
49,52,53,62,81,83,84,85,88,89,102,104,105,107,109,111,113,115,118,123,124,125,
127,128,136,137,139,141,142,143,144,145,147,148,149,151,153,156,157,158,159,
160,161,163,165,166,168,170,172,174,177,178,180,198,201,202,203,204,210,271,
274,275,320,333,335,341,342,343,347,348,352,405,406,408,414,416,417,419,420,
422,424,426,438,440,442,443,444,446,447,450,482,483,485,487,488,493,499,500,
501,503,504,508,515,516,520,521,537,539,541,543,545,548,550,552,732,735,736,
739,825,827,828,830,832,833,850,853,865,868,974,975,976,987,989,993,995,998,
1000,1008,1010,1065,1068,1089,1091,1340,1341,1343,1350,1449,1451,1457,1458,
1460,1462,1463,1468,1605,1898,1899,1902,1987,1989,2003,2006,2315],[1,2,3,4,5,
6,7,8,13,15,16,18,19,20,22,23,24,25,26,27,28,29,31,32,34,35,36,37,38,39,40,42,
43,44,45,46,47,49,50,51,52,53,54,62,82,83,84,87,88,89,103,104,106,107,108,111,
112,115,116,117,118,122,129,130,131,133,134,136,137,140,141,142,143,144,145,
147,148,149,153,155,157,158,159,160,161,163,164,166,169,170,173,174,176,177,
178,180,198,199,200,201,202,203,206,209,214,215,216,217,222,271,276,277,320,
336,340,341,345,346,347,351,352,409,410,412,414,415,417,418,420,423,427,428,
432,433,460,464,465,466,468,469,481,483,486,487,489,492,493,498,500,501,504,
506,508,514,516,518,520,533,534,541,542,545,546,550,551,569,605,606,732,735,
737,738,826,827,828,831,832,833,855,857,864,867,980,981,982,987,988,990,991,
1029,1031,1039,1041,1063,1069,1087,1091,1340,1342,1344,1351,1452,1456,1458,
1461,1462,1464,1467,1468,1607,1898,1900,1901,1992,1994,2001,2007,2316],[1,2,3,
4,5,6,7,8,9,14,15,16,17,18,19,20,21,22,26,27,30,31,32,33,34,35,36,39,41,42,43,
44,45,46,47,48,50,51,52,53,54,63,65,67,68,69,91,94,95,98,99,100,101,104,110,
114,115,116,117,118,119,120,121,124,126,127,128,130,132,133,134,135,154,155,
156,160,161,162,163,164,165,166,167,168,169,171,172,173,174,193,196,197,198,
201,203,209,210,213,214,215,216,222,223,278,279,280,284,287,288,289,290,291,
303,368,370,371,383,384,387,388,389,390,391,392,413,420,429,431,432,434,441,
442,445,446,447,448,463,464,467,468,469,470,528,529,530,531,532,533,534,535,
536,537,538,539,549,550,551,552,744,746,747,760,761,765,766,781,783,785,786,
787,916,918,919,945,946,947,948,1005,1006,1007,1008,1036,1037,1038,1039,1352,
1380,1381,1382,1386,1387,1390,1391,1392,1393,1557,1912,1914,1915,1928,1929,
1930,1931,2317],[1,2,3,4,5,6,7,8,9,14,15,16,17,18,19,20,21,22,26,27,28,29,30,
31,32,33,34,35,36,39,42,43,44,45,49,50,51,52,63,65,66,67,68,69,91,94,95,98,99,
100,101,104,110,115,116,117,120,124,125,126,127,128,130,132,133,134,135,157,
158,159,160,161,162,163,164,165,167,170,171,172,173,175,176,177,178,179,180,
198,201,214,216,217,224,278,279,280,285,286,288,289,292,293,303,368,370,371,
385,386,387,388,391,392,414,421,432,443,444,445,446,449,450,465,466,467,468,
540,541,542,543,544,545,546,547,548,549,568,569,745,746,762,763,764,781,783,
784,785,786,787,917,918,949,950,951,1009,1010,1011,1040,1041,1042,1353,1380,
1381,1382,1388,1389,1390,1391,1394,1395,1558,1913,1914,1932,1933,1934,2318],[
1,2,3,4,5,6,7,8,9,14,15,16,17,18,19,20,21,22,25,26,27,30,31,32,33,34,35,36,37,
38,39,40,45,50,51,55,56,63,65,67,68,69,91,94,95,98,99,100,101,102,104,105,108,
110,112,117,120,122,124,126,127,128,130,132,133,134,135,149,150,152,162,163,
164,165,171,172,173,181,182,183,188,189,190,191,192,200,205,218,225,278,279,
280,288,289,294,295,296,300,303,368,370,371,387,388,391,392,396,397,399,400,
404,405,407,418,425,445,446,451,452,454,455,457,467,468,472,475,476,479,517,
524,553,554,561,570,574,746,748,749,767,768,781,783,785,786,787,918,921,923,
952,953,961,962,1012,1013,1015,1043,1354,1380,1381,1382,1390,1391,1396,1397,
1400,1402,1559,1914,1916,1918,1935,1936,2319],[1,2,3,4,5,6,7,8,9,14,15,16,17,
18,19,20,21,22,24,26,27,29,30,31,32,33,34,35,36,39,45,50,51,57,58,63,65,67,68,
69,91,94,95,98,99,100,101,103,104,106,109,110,113,117,120,124,126,127,128,130,
132,133,134,135,143,146,148,162,163,164,165,171,172,173,179,182,184,185,192,
220,229,278,279,280,288,289,297,298,299,303,368,370,371,387,388,391,392,398,
401,402,403,409,411,419,445,446,453,454,456,467,468,473,474,476,477,478,502,
511,554,557,571,746,750,751,769,774,781,783,785,786,787,918,922,924,954,959,
963,964,1014,1015,1044,1045,1355,1380,1381,1382,1390,1391,1398,1399,1401,1560,
1914,1917,1919,1937,1938,2320],[1,2,3,4,5,6,7,8,9,14,15,16,17,18,19,20,21,22,
26,27,30,31,32,33,34,35,36,39,42,44,45,46,47,50,51,52,53,54,56,59,63,65,67,68,
69,91,94,95,98,99,100,101,104,110,116,117,118,120,121,124,126,127,128,130,132,
133,134,135,155,158,162,163,164,165,166,167,168,169,171,172,173,174,183,191,
193,194,195,199,202,211,212,215,217,219,222,226,227,228,235,278,279,280,288,
289,290,291,296,301,303,368,370,371,387,388,389,390,391,392,415,422,430,433,
435,436,445,446,447,448,455,458,467,468,469,470,532,544,555,556,562,563,564,
565,566,567,572,575,746,747,770,771,775,781,783,785,786,787,918,919,955,956,
960,1016,1017,1020,1046,1047,1050,1356,1380,1381,1382,1390,1391,1392,1393,
1400,1403,1561,1914,1915,1939,1940,1943,2321],[1,2,3,4,5,6,7,8,9,14,15,16,17,
18,19,20,21,22,26,27,29,30,31,32,33,34,35,36,39,45,48,50,51,54,58,63,65,67,68,
69,91,94,95,98,99,100,101,104,110,117,120,124,126,127,128,130,132,133,134,135,
156,159,162,163,164,165,169,171,172,173,179,180,185,195,196,221,223,227,230,
278,279,280,288,289,297,302,303,368,370,371,387,388,391,392,416,423,437,445,
446,456,459,467,468,536,547,556,558,573,576,746,772,773,781,783,785,786,787,
918,957,958,1018,1019,1048,1049,1357,1380,1381,1382,1390,1391,1401,1404,1562,
1914,1941,1942,2322],[1,3,5,6,7,8,9,21,23,24,26,27,28,29,30,32,34,35,41,42,45,
46,47,49,50,51,52,53,64,65,66,67,69,123,124,125,126,128,136,137,138,140,141,
142,143,144,146,147,148,154,155,157,159,162,164,166,168,170,171,173,174,175,
176,177,178,179,180,193,213,214,215,222,224,281,282,283,284,285,288,290,292,
293,303,438,439,440,441,443,445,447,449,450,480,481,484,486,487,488,491,492,
493,497,498,502,503,504,507,508,528,530,532,534,540,542,547,568,569,752,754,
755,760,762,782,783,784,785,787,997,999,1000,1005,1009,1058,1060,1061,1063,
1086,1088,1358,1383,1384,1385,1386,1388,1390,1392,1394,1395,1608,1920,1922,
1923,1928,1932,2323],[1,3,5,6,7,8,9,21,23,24,26,27,28,29,30,32,34,35,43,44,45,
48,50,51,54,64,65,66,67,69,123,124,125,126,128,136,137,138,140,141,142,143,
144,146,147,148,156,158,160,161,162,164,167,169,171,173,175,176,179,196,216,
217,223,281,282,283,286,287,288,291,292,303,438,439,440,442,444,445,448,449,
482,483,484,486,489,490,491,492,499,500,502,505,506,507,536,538,544,546,549,
551,753,754,756,764,765,782,783,784,785,787,998,999,1001,1007,1011,1064,1066,
1067,1069,1090,1092,1359,1383,1384,1385,1387,1389,1390,1393,1394,1609,1921,
1922,1924,1930,1934,2324],[1,3,5,6,7,8,9,21,23,24,26,27,28,29,30,32,34,35,45,
50,51,55,56,57,58,64,65,66,67,69,123,124,125,126,128,136,137,138,140,141,142,
143,144,146,147,148,162,164,171,173,175,176,179,181,183,184,185,186,187,191,
218,220,225,229,231,232,281,282,283,288,292,294,296,297,298,303,438,439,440,
445,449,451,453,455,456,484,486,491,492,494,496,502,507,510,511,512,553,557,
559,570,571,577,579,581,587,754,757,759,767,769,776,778,782,783,784,785,787,
999,1002,1004,1012,1014,1021,1023,1070,1074,1094,1099,1360,1383,1384,1385,
1390,1394,1396,1398,1400,1401,1610,1922,1925,1927,1935,1937,1944,1946,2325],[
1,3,4,5,6,7,8,9,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,
45,50,51,64,65,66,67,68,69,123,124,125,126,127,128,129,130,131,132,135,136,
137,138,139,140,141,142,143,144,146,147,148,149,150,151,152,162,163,164,165,
171,172,173,175,176,179,182,188,189,190,192,200,205,281,282,283,288,289,292,
295,299,300,303,438,439,440,445,446,449,452,454,457,460,461,462,467,471,473,
476,478,484,485,486,491,492,495,502,507,509,517,524,525,554,561,574,578,754,
758,768,774,777,782,783,784,785,786,787,999,1003,1013,1015,1022,1030,1035,
1044,1052,1071,1093,1361,1383,1384,1385,1390,1391,1394,1397,1399,1402,1611,
1922,1926,1936,1938,1945,2326],[1,3,5,6,7,8,9,21,23,24,26,27,28,29,30,32,34,
35,42,45,46,47,50,51,52,53,56,58,59,64,65,66,67,69,123,124,125,126,128,136,
137,138,140,141,142,143,144,146,147,148,155,159,162,164,166,168,170,171,173,
174,175,176,178,179,180,183,185,187,191,193,194,215,219,221,222,226,228,230,
233,234,235,281,282,283,288,290,292,296,297,301,303,438,439,440,445,447,449,
455,456,458,481,484,486,488,491,492,493,496,502,507,511,512,532,547,555,558,
560,564,568,572,573,575,580,582,584,588,754,759,770,772,779,782,783,784,785,
787,999,1004,1016,1018,1024,1061,1072,1075,1095,1096,1100,1362,1383,1384,1385,
1390,1392,1394,1400,1401,1403,1612,1922,1927,1939,1941,1947,2327],[1,3,5,6,7,
8,9,21,23,24,26,27,28,29,30,32,34,35,44,45,48,50,51,54,64,65,66,67,69,123,124,
125,126,128,136,137,138,140,141,142,143,144,146,147,148,156,158,162,164,167,
169,171,173,175,176,179,195,196,217,223,227,281,282,283,288,291,292,302,303,
438,439,440,445,448,449,459,482,484,486,489,491,492,502,507,536,544,556,565,
576,583,754,771,773,782,783,784,785,787,999,1017,1019,1064,1073,1097,1098,
1363,1383,1384,1385,1390,1393,1394,1404,1613,1922,1940,1942,2328],[1,3,5,6,7,
8,9,21,26,27,30,32,34,35,41,42,45,46,47,50,51,52,53,55,56,59,65,67,69,124,126,
128,154,155,162,164,166,168,171,173,174,181,183,191,193,194,213,214,215,218,
219,222,225,226,228,235,284,288,290,294,296,301,303,441,445,447,451,455,458,
528,530,532,534,553,555,564,570,572,575,622,624,641,760,767,770,783,785,787,
1005,1012,1016,1116,1121,1364,1386,1390,1392,1396,1400,1403,1617,1928,1935,
1939,2329],[1,3,4,5,6,7,8,9,21,25,26,27,30,31,32,33,34,35,36,37,38,39,40,41,
42,44,45,46,47,50,51,52,53,54,65,67,68,69,124,126,127,128,149,150,152,154,155,
158,162,163,164,165,166,167,168,169,171,172,173,174,182,188,189,190,192,193,
195,197,199,200,201,202,205,209,211,212,213,214,215,217,222,227,284,288,289,
290,291,295,300,303,441,445,446,447,448,452,457,513,517,520,524,526,528,529,
530,531,532,533,534,535,544,554,556,561,562,563,565,566,567,574,604,606,611,
760,761,768,771,775,783,785,786,787,1005,1006,1013,1017,1020,1103,1108,1117,
1120,1122,1125,1365,1386,1390,1391,1392,1393,1397,1402,1618,1928,1929,1936,
1940,1943,2330],[1,3,5,6,7,8,9,21,24,26,27,29,30,32,34,35,41,42,45,46,47,50,
51,52,53,57,58,65,67,69,124,126,128,143,146,148,154,155,159,162,164,166,168,
171,173,174,179,180,184,185,193,213,214,215,220,221,222,229,230,284,288,290,
297,298,303,441,445,447,453,456,497,502,504,511,528,530,532,534,547,557,558,
571,573,623,625,760,769,772,783,785,787,1005,1014,1018,1086,1095,1118,1123,
1366,1386,1390,1392,1398,1401,1619,1928,1937,1941,2331],[1,3,5,6,7,8,9,21,22,
26,27,30,32,33,34,35,41,42,45,46,47,48,50,51,52,53,54,65,67,69,124,126,128,
130,132,135,154,155,156,162,164,165,166,168,169,171,173,174,182,192,193,195,
196,213,214,215,222,223,227,284,288,290,299,302,303,441,445,447,454,459,463,
467,469,476,528,530,531,532,534,536,539,554,556,566,576,760,773,774,783,785,
787,1005,1015,1019,1036,1046,1117,1124,1367,1386,1390,1392,1399,1404,1620,
1928,1938,1942,2332],[1,3,5,6,7,8,9,21,26,27,30,32,34,35,43,44,45,48,50,51,54,
55,56,65,67,69,124,126,128,156,158,160,161,162,164,167,169,171,173,181,183,
191,195,196,216,217,218,223,225,227,287,288,291,294,296,303,442,444,445,448,
451,455,459,536,538,544,546,549,551,553,556,565,570,576,765,767,771,783,785,
787,1007,1011,1012,1017,1019,1126,1137,1376,1387,1390,1393,1396,1400,1621,
1930,1935,1940,2333],[1,3,4,5,6,7,8,9,21,25,26,27,30,31,32,33,34,35,36,37,38,
39,40,42,43,44,45,46,47,48,50,51,52,53,54,56,59,65,67,68,69,124,126,127,128,
149,150,152,155,156,160,161,162,163,164,165,166,167,168,169,171,172,173,174,
182,183,188,189,190,191,192,193,194,196,198,199,200,202,203,205,210,211,212,
215,216,219,222,223,226,228,235,287,288,289,290,291,295,296,300,301,303,442,
445,446,447,448,452,455,457,458,514,517,521,524,527,532,536,537,538,539,549,
550,551,552,554,555,561,562,563,564,566,567,572,574,575,605,612,613,765,766,
768,770,775,783,785,786,787,1007,1008,1013,1016,1020,1104,1109,1124,1129,1138,
1141,1377,1387,1390,1391,1392,1393,1397,1400,1402,1403,1622,1930,1931,1936,
1939,1943,2334],[1,3,5,6,7,8,9,21,24,26,27,29,30,32,34,35,43,44,45,48,50,51,
54,57,58,65,67,69,124,126,128,143,146,148,156,160,161,162,164,167,169,171,173,
179,184,185,195,196,216,220,223,227,229,287,288,291,297,298,302,303,442,445,
448,453,456,459,499,502,506,511,536,538,549,551,556,557,571,576,642,765,769,
773,783,785,787,1007,1014,1019,1090,1097,1128,1139,1378,1387,1390,1393,1398,
1401,1404,1624,1930,1937,1942,2335],[1,3,5,6,7,8,9,21,22,26,27,29,30,32,33,34,
35,43,44,45,48,50,51,54,58,65,67,69,124,126,128,130,132,135,156,159,160,161,
162,164,165,167,169,171,173,179,180,182,185,192,196,216,221,223,230,287,288,
291,297,299,303,442,445,448,454,456,466,467,476,536,538,547,548,549,551,554,
558,573,590,765,772,774,783,785,787,1007,1015,1018,1042,1049,1127,1140,1379,
1387,1390,1393,1399,1401,1623,1930,1938,1941,2336],[1,3,5,6,7,8,9,21,26,27,28,
29,30,32,34,35,42,45,49,50,51,52,55,56,58,65,66,67,69,124,125,126,128,157,159,
162,164,170,171,173,175,176,177,178,179,180,181,183,185,191,214,218,221,224,
225,230,231,233,234,285,288,292,293,294,296,297,303,443,445,449,450,451,455,
456,540,542,547,553,558,568,569,570,573,577,580,587,588,626,643,762,767,772,
776,779,783,784,785,787,1009,1012,1018,1021,1024,1130,1136,1152,1368,1388,
1390,1394,1395,1396,1400,1401,1625,1932,1935,1941,1944,1947,2337],[1,3,4,5,6,
7,8,9,21,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,45,48,49,50,51,52,
54,65,66,67,68,69,124,125,126,127,128,149,150,152,156,157,159,162,163,164,165,
169,170,171,172,173,175,176,177,178,179,180,182,188,189,190,192,195,196,200,
204,205,206,214,223,224,227,285,288,289,292,293,295,300,302,303,443,445,446,
449,450,452,457,459,515,517,518,524,536,540,542,547,554,556,561,568,569,574,
576,585,586,589,590,609,762,768,773,780,783,784,785,786,787,1009,1013,1019,
1025,1105,1110,1127,1131,1154,1369,1388,1390,1391,1394,1395,1397,1402,1404,
1626,1932,1936,1942,1948,2338],[1,3,5,6,7,8,9,21,24,26,27,28,29,30,32,34,35,
42,45,46,47,49,50,51,52,53,56,57,58,59,65,66,67,69,124,125,126,128,143,144,
146,147,148,155,157,159,162,164,166,168,170,171,173,174,175,176,177,178,179,
180,183,184,185,191,193,194,214,215,219,220,222,224,226,228,229,232,233,234,
235,285,288,290,292,293,296,297,298,301,303,443,445,447,449,450,453,455,456,
458,498,502,503,507,508,511,512,532,540,542,547,555,557,564,568,569,571,572,
573,575,579,580,588,627,644,645,762,769,770,778,779,783,784,785,787,1009,1014,
1016,1023,1024,1088,1096,1100,1123,1132,1153,1370,1388,1390,1392,1394,1395,
1398,1400,1401,1403,1627,1932,1937,1939,1946,1947,2339],[1,3,5,6,7,8,9,21,22,
26,27,28,29,30,32,33,34,35,42,44,45,49,50,51,52,54,65,66,67,69,124,125,126,
128,130,132,135,157,158,159,162,164,165,167,169,170,171,173,175,176,177,178,
179,180,182,192,195,214,217,224,227,285,288,291,292,293,299,303,443,445,448,
449,450,454,465,467,476,540,542,543,544,547,554,556,565,568,569,586,762,771,
774,783,784,785,787,1009,1015,1017,1040,1048,1131,1134,1371,1388,1390,1393,
1394,1395,1399,1628,1932,1938,1940,2340],[1,3,5,6,7,8,9,21,26,27,30,32,34,35,
43,44,45,48,50,51,54,55,56,65,67,69,124,126,128,156,158,160,161,162,164,167,
169,171,173,181,183,191,195,196,216,217,218,223,225,227,286,288,294,296,302,
303,442,444,445,448,451,455,459,536,538,544,546,549,551,553,556,565,570,576,
764,767,773,783,785,787,1007,1011,1012,1017,1019,1126,1137,1372,1389,1390,
1396,1400,1404,1621,1934,1935,1942,2341],[1,3,4,5,6,7,8,9,21,25,26,27,29,30,
31,32,33,34,35,36,37,38,39,40,43,44,45,50,51,58,65,67,68,69,124,126,127,128,
149,150,152,158,159,160,161,162,163,164,165,167,171,172,173,179,180,182,185,
188,189,190,192,200,205,216,217,221,230,286,288,289,295,297,300,303,444,445,
446,452,456,457,516,517,519,524,544,546,547,549,554,558,561,573,574,608,764,
768,772,783,785,786,787,1011,1013,1018,1106,1111,1134,1140,1373,1389,1390,
1391,1397,1401,1402,1629,1934,1936,1941,2342],[1,3,5,6,7,8,9,21,24,26,27,29,
30,32,34,35,43,44,45,50,51,54,57,58,65,67,69,124,126,128,143,146,148,158,160,
161,162,164,167,169,171,173,179,184,185,195,216,217,220,227,229,286,288,291,
297,298,303,444,445,448,453,456,500,502,505,511,544,546,549,556,557,565,571,
628,764,769,771,783,785,787,1011,1014,1017,1092,1098,1135,1139,1374,1389,1390,
1393,1398,1401,1630,1934,1937,1940,2343],[1,3,5,6,7,8,9,21,22,26,27,30,32,33,
34,35,42,43,44,45,46,47,50,51,52,53,56,59,65,67,69,124,126,128,130,132,135,
155,158,160,161,162,164,165,166,167,168,171,173,174,182,183,191,192,193,194,
215,216,217,219,222,226,228,235,286,288,290,296,299,301,303,444,445,447,454,
455,458,464,467,470,476,532,535,544,546,549,552,554,555,564,567,572,575,764,
770,774,783,785,787,1011,1015,1016,1038,1047,1122,1138,1375,1389,1390,1392,
1399,1400,1403,1631,1934,1938,1939,2344],[1,2,3,4,7,10,14,15,19,21,22,23,24,
25,30,31,32,33,38,55,57,70,72,73,74,91,92,93,98,99,102,103,107,108,109,123,
126,127,129,132,133,138,139,140,145,146,150,181,182,184,186,188,207,304,309,
310,311,312,313,314,315,316,317,318,323,324,325,326,367,370,374,375,380,396,
397,398,402,406,410,439,451,452,453,454,461,472,473,474,494,495,509,510,522,
788,789,790,791,792,800,801,802,803,804,805,806,807,808,809,810,811,812,813,
814,815,816,817,818,819,820,821,837,914,921,922,933,941,942,1002,1003,1033,
1405,1406,1407,1408,1409,1410,1411,1412,1413,1428,1429,1430,1431,1432,1433,
1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1555,1949,1950,1951,1952,
1953,1954,1976,1977,1978,2345],[1,3,7,10,21,23,24,30,32,55,57,70,74,123,126,
138,140,146,181,184,186,236,237,238,249,304,311,313,315,317,325,326,439,451,
453,494,510,591,592,597,789,791,808,811,815,817,819,820,838,839,840,842,1002,
1026,1076,1078,1101,1407,1410,1412,1439,1442,1444,1445,1446,1614,1952,1955,
1980,1982,1984,2346],[1,3,7,10,21,23,24,30,32,33,55,57,70,74,123,126,138,140,
146,181,182,184,186,248,304,311,313,315,317,318,325,326,439,451,453,494,495,
510,598,789,791,808,811,815,817,818,819,820,841,1002,1077,1079,1407,1410,1412,
1439,1440,1442,1447,1615,1952,1981,1983,2347],[1,2,3,4,5,6,10,14,15,16,17,18,
21,22,23,24,25,26,27,28,29,36,37,41,42,43,44,47,48,49,70,72,73,91,92,93,94,95,
96,97,102,103,104,105,106,114,115,116,119,123,124,125,129,130,131,136,137,143,
144,149,154,155,156,157,158,159,160,161,170,197,198,199,204,304,309,310,311,
312,313,314,353,367,368,369,372,373,378,379,383,384,385,386,405,409,413,414,
415,416,438,441,442,443,444,460,463,464,465,466,480,481,482,483,497,498,499,
500,513,514,515,516,788,789,790,800,801,804,805,834,871,872,913,916,917,925,
926,935,936,973,974,979,980,997,998,1028,1029,1405,1417,1469,1471,1472,1473,
1474,1475,1552,1957,1958,1959,2008,2009,2020,2021,2348],[1,3,5,6,7,8,10,21,23,
24,26,27,28,29,30,32,34,35,41,42,45,46,47,49,50,51,52,53,70,74,123,124,125,
126,128,136,137,138,140,141,142,143,144,146,147,148,154,155,157,159,162,164,
166,168,170,171,173,174,175,176,177,178,179,180,193,213,214,215,222,224,304,
311,313,315,317,353,438,439,440,441,443,445,447,449,450,480,481,484,486,487,
488,491,492,493,497,498,502,503,504,507,508,528,530,532,534,540,542,547,568,
569,789,791,808,811,815,834,873,997,999,1000,1005,1009,1058,1060,1061,1063,
1086,1088,1407,1417,1469,1471,1476,1478,1608,1957,1960,2010,2013,2024,2349],[
1,2,3,4,5,6,10,15,16,18,21,23,24,25,26,27,28,29,31,33,36,37,39,41,42,43,44,47,
49,54,70,72,73,102,104,105,107,109,111,113,114,116,123,124,125,127,136,137,
139,143,144,145,149,151,153,154,155,157,158,159,161,163,165,167,169,170,172,
197,198,199,201,206,209,304,311,312,313,314,316,318,353,405,406,408,413,415,
417,419,421,423,424,426,438,441,443,444,446,448,480,481,485,489,490,497,498,
501,505,506,513,514,518,519,529,531,533,535,541,543,545,548,789,790,792,809,
810,813,814,834,871,872,973,975,977,984,986,990,992,997,1001,1006,1010,1059,
1062,1085,1087,1408,1417,1469,1471,1474,1475,1477,1479,1604,1957,1959,1961,
2011,2012,2022,2023,2350],[1,2,3,4,5,6,7,8,10,14,15,16,17,18,19,20,21,22,26,
27,30,31,32,33,34,35,36,39,41,42,43,44,45,46,47,48,50,51,52,53,54,70,72,73,74,
91,94,95,98,99,100,101,104,110,114,115,116,117,118,119,120,121,124,126,127,
128,130,132,133,134,135,154,155,156,160,161,162,163,164,165,166,167,168,169,
171,172,173,174,193,196,197,198,201,203,209,210,213,214,215,216,222,223,304,
309,310,312,315,316,317,318,323,353,368,370,371,383,384,387,388,389,390,391,
392,413,420,429,431,432,434,441,442,445,446,447,448,463,464,467,468,469,470,
528,529,530,531,532,533,534,535,536,537,538,539,549,550,551,552,788,791,792,
802,803,806,807,834,871,872,873,916,918,919,945,946,947,948,1005,1006,1007,
1008,1036,1037,1038,1039,1406,1417,1472,1473,1474,1476,1477,1478,1479,1494,
1557,1958,1960,1961,2025,2026,2027,2028,2351],[1,2,3,4,5,6,7,8,10,14,15,16,17,
18,19,20,21,25,26,27,30,31,32,34,35,36,37,38,39,40,41,42,43,44,45,46,47,50,51,
52,53,70,72,73,74,94,98,100,102,104,105,108,110,112,114,115,116,117,118,120,
122,124,126,128,149,150,152,154,155,158,160,161,162,163,164,166,167,168,171,
173,174,189,193,197,198,199,200,201,202,203,205,213,214,215,216,217,222,304,
309,312,314,315,316,317,323,324,353,383,387,389,396,399,405,407,413,415,418,
420,422,425,431,432,433,441,444,445,447,513,514,517,520,521,528,529,530,532,
534,544,546,549,550,562,604,605,606,790,791,802,812,816,834,871,872,873,945,
952,955,973,976,985,991,1005,1011,1103,1104,1409,1417,1472,1474,1475,1476,
1477,1478,1494,1495,1583,1959,1960,2025,2029,2030,2352],[1,3,5,6,7,8,10,21,26,
27,30,32,34,35,41,42,45,46,47,50,51,52,53,55,56,59,70,74,124,126,128,154,155,
162,164,166,168,171,173,174,181,183,191,193,194,213,214,215,218,219,222,225,
226,228,235,304,315,317,325,353,441,445,447,451,455,458,528,530,532,534,553,
555,564,570,572,575,622,624,641,791,817,834,873,1005,1012,1016,1116,1121,1410,
1417,1476,1478,1496,1617,1960,2031,2353],[1,3,4,5,6,7,8,10,21,25,26,27,30,31,
32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,50,51,52,53,54,70,73,74,124,126,
127,128,149,150,152,154,155,158,162,163,164,165,166,167,168,169,171,172,173,
174,182,188,189,190,192,193,195,197,199,200,201,202,205,209,211,212,213,214,
215,217,222,227,304,314,315,316,317,318,324,353,441,445,446,447,448,452,457,
513,517,520,524,526,528,529,530,531,532,533,534,535,544,554,556,561,562,563,
565,566,567,574,604,606,611,791,792,816,818,821,834,872,873,1005,1006,1013,
1017,1020,1103,1108,1117,1120,1122,1125,1411,1417,1475,1476,1477,1478,1479,
1495,1618,1960,1961,2030,2032,2035,2354],[1,3,5,6,7,8,10,21,24,26,27,29,30,32,
34,35,41,42,45,46,47,50,51,52,53,57,58,70,74,124,126,128,143,146,148,154,155,
159,162,164,166,168,171,173,174,179,180,184,185,193,213,214,215,220,221,222,
229,230,304,313,315,317,326,353,441,445,447,453,456,497,502,504,511,528,530,
532,534,547,557,558,571,573,623,625,791,815,819,834,873,1005,1014,1018,1086,
1095,1118,1123,1412,1417,1471,1476,1478,1497,1619,1960,2024,2033,2355],[1,3,5,
6,7,8,10,21,22,26,27,30,32,33,34,35,41,42,45,46,47,48,50,51,52,53,54,70,74,
124,126,128,130,132,135,154,155,156,162,164,165,166,168,169,171,173,174,182,
192,193,195,196,213,214,215,222,223,227,304,310,315,317,318,353,441,445,447,
454,459,463,467,469,476,528,530,531,532,534,536,539,554,556,566,576,791,806,
818,834,873,1005,1015,1019,1036,1046,1117,1124,1413,1417,1473,1476,1478,1479,
1620,1960,2027,2032,2356],[1,2,3,4,5,6,7,8,11,14,15,16,17,18,19,20,21,22,26,
27,30,31,32,33,34,35,36,39,41,42,43,44,45,46,47,48,50,51,52,53,54,71,75,76,91,
94,95,98,99,100,101,104,110,114,115,116,117,118,119,120,121,124,126,127,128,
130,132,133,134,135,154,155,156,160,161,162,163,164,165,166,167,168,169,171,
172,173,174,193,196,197,198,201,203,209,210,213,214,215,216,222,223,305,321,
354,356,368,370,371,383,384,387,388,389,390,391,392,413,420,429,431,432,434,
441,442,445,446,447,448,463,464,467,468,469,470,528,529,530,531,532,533,534,
535,536,537,538,539,549,550,551,552,793,794,795,835,836,874,875,880,881,916,
918,919,945,946,947,948,1005,1006,1007,1008,1036,1037,1038,1039,1414,1418,
1480,1482,1557,1962,1963,1964,2357],[1,3,5,6,7,8,11,21,26,27,30,32,34,35,41,
42,45,46,47,50,51,52,53,55,56,59,71,124,126,128,154,155,162,164,166,168,171,
173,174,181,183,191,193,194,213,214,215,218,219,222,225,226,228,235,305,307,
354,356,441,445,447,451,455,458,528,530,532,534,553,555,564,570,572,575,622,
624,641,794,835,836,1005,1012,1016,1116,1121,1415,1418,1420,1426,1617,1963,
2358],[1,3,4,5,6,7,8,11,21,25,26,27,30,31,32,33,34,35,36,37,38,39,40,41,42,44,
45,46,47,50,51,52,53,54,71,76,124,126,127,128,149,150,152,154,155,158,162,163,
164,165,166,167,168,169,171,172,173,174,182,188,189,190,192,193,195,197,199,
200,201,202,205,209,211,212,213,214,215,217,222,227,305,322,354,356,441,445,
446,447,448,452,457,513,517,520,524,526,528,529,530,531,532,533,534,535,544,
554,556,561,562,563,565,566,567,574,604,606,611,794,795,835,836,875,881,1005,
1006,1013,1017,1020,1103,1108,1117,1120,1122,1125,1416,1418,1481,1483,1618,
1963,1964,2359],[1,3,5,6,7,8,13,21,26,27,30,32,34,35,41,42,45,46,47,50,51,52,
53,55,56,59,83,124,126,128,154,155,162,164,166,168,171,173,174,181,183,191,
193,194,213,214,215,218,219,222,225,226,228,235,306,339,359,441,445,447,451,
455,458,528,530,532,534,553,555,564,570,572,575,622,624,641,796,879,1005,1012,
1016,1116,1121,1419,1424,1499,1617,1967,2360],[1,3,5,6,7,8,12,21,26,27,30,32,
34,35,41,42,45,46,47,50,51,52,53,55,56,59,124,126,128,154,155,162,164,166,168,
171,173,174,181,183,191,193,194,213,214,215,218,219,222,225,226,228,235,308,
355,357,360,361,441,445,447,451,455,458,528,530,532,534,553,555,564,570,572,
575,622,624,641,1005,1012,1016,1116,1121,1421,1425,1427,1500,1508,1617,2361],[
1,3,5,6,7,8,13,21,23,24,26,27,28,29,30,32,34,35,45,50,51,55,56,57,58,81,83,84,
123,124,125,126,128,136,137,138,140,141,142,143,144,146,147,148,162,164,171,
173,175,176,179,181,183,184,185,186,187,191,218,220,225,229,231,232,306,333,
359,438,439,440,445,449,451,453,455,456,484,486,491,492,494,496,502,507,510,
511,512,553,557,559,570,571,577,579,581,587,796,797,798,879,885,886,999,1002,
1004,1012,1014,1021,1023,1070,1074,1094,1099,1422,1424,1501,1610,1967,1968,
1969,2362],[1,3,5,6,7,8,13,21,26,27,28,29,30,32,34,35,42,45,49,50,51,52,55,56,
58,83,84,124,125,126,128,157,159,162,164,170,171,173,175,176,177,178,179,180,
181,183,185,191,214,218,221,224,225,230,231,233,234,306,340,359,443,445,449,
450,451,455,456,540,542,547,553,558,568,569,570,573,577,580,587,588,626,643,
796,798,879,886,1009,1012,1018,1021,1024,1130,1136,1152,1423,1424,1502,1625,
1967,1969,2363],[1,3,5,6,7,8,13,21,26,27,30,32,34,35,45,50,51,55,56,57,58,83,
86,88,124,126,128,162,164,171,173,181,183,186,187,191,218,220,225,231,232,236,
237,238,239,240,241,242,246,306,344,359,445,451,455,553,559,570,591,592,593,
594,595,629,630,631,646,647,648,649,796,879,887,889,1012,1026,1027,1142,1143,
1155,1156,1424,1503,1632,1967,1970,1972,2364],[1,3,5,6,7,8,13,21,26,27,30,32,
34,35,45,50,51,55,56,57,58,83,87,89,124,126,128,162,164,171,173,181,183,186,
187,191,218,220,225,231,232,236,237,238,239,240,241,242,246,306,345,359,445,
451,455,553,559,570,591,592,593,594,595,629,630,631,646,647,648,649,796,879,
888,890,1012,1026,1027,1142,1143,1155,1156,1424,1504,1632,1967,1971,1973,
2365],[1,3,5,6,7,8,13,21,26,27,30,32,34,35,45,46,50,51,55,56,58,59,83,88,124,
126,128,162,164,171,173,181,183,187,191,218,219,221,225,233,234,239,240,241,
243,244,245,247,306,347,359,445,451,455,553,560,570,593,594,596,632,633,634,
650,651,652,653,796,879,889,1012,1027,1144,1145,1157,1158,1424,1505,1633,1967,
1972,2366],[1,3,5,6,7,8,13,21,26,27,30,32,34,35,45,46,50,51,55,56,58,59,83,89,
124,126,128,162,164,171,173,181,183,187,191,218,219,221,225,233,234,239,240,
241,243,244,245,247,306,348,359,445,451,455,553,560,570,593,594,596,632,633,
634,650,651,652,653,796,879,890,1012,1027,1144,1145,1157,1158,1424,1506,1633,
1967,1973,2367],[1,3,7,13,21,23,24,30,32,55,57,81,86,87,123,126,138,140,146,
181,184,186,236,237,238,249,306,334,359,439,451,453,494,510,591,592,597,797,
885,887,888,1002,1026,1076,1078,1101,1424,1510,1614,1968,1970,1971,2368],[1,3,
7,8,13,21,23,24,30,32,35,55,56,57,58,81,88,89,123,126,138,140,146,181,183,184,
185,186,187,239,240,241,242,246,250,306,335,359,439,451,453,494,496,510,593,
594,595,599,600,797,885,889,890,1002,1027,1080,1081,1102,1424,1511,1616,1968,
1972,1973,2369],[1,3,6,7,8,13,21,28,29,30,32,50,51,55,56,57,58,84,86,89,125,
126,175,176,179,181,185,186,187,225,229,231,232,236,237,238,239,240,241,246,
250,306,350,359,449,451,456,577,581,587,591,592,593,594,600,646,648,658,659,
798,886,887,890,1021,1026,1027,1159,1160,1175,1176,1424,1512,1634,1969,1970,
1973,2370],[1,3,6,7,8,13,21,28,29,30,32,50,51,55,56,57,58,84,87,88,125,126,
175,176,179,181,185,186,187,225,229,231,232,236,237,238,239,240,241,246,250,
306,351,359,449,451,456,577,581,587,591,592,593,594,600,646,648,658,659,798,
886,888,889,1021,1026,1027,1159,1160,1175,1176,1424,1513,1634,1969,1971,1972,
2371],[1,3,6,7,8,13,21,28,29,30,32,50,53,55,56,58,84,88,89,125,126,175,176,
179,181,185,187,226,230,231,233,239,240,241,244,247,252,306,352,359,449,451,
456,577,582,587,593,594,601,654,668,798,886,889,890,1021,1027,1161,1163,1177,
1424,1514,1635,1969,1972,1973,2372],[1,3,6,7,8,13,21,28,29,30,32,50,53,55,56,
58,84,88,89,125,126,175,176,179,181,185,187,228,230,231,234,239,240,241,245,
247,253,306,352,359,449,451,456,577,584,587,593,594,602,656,666,798,886,889,
890,1021,1027,1164,1165,1178,1424,1515,1637,1969,1972,1973,2373],[1,2,3,4,7,
10,14,15,19,23,30,31,32,33,55,57,70,72,73,74,92,98,99,107,138,181,182,184,186,
188,236,237,238,249,309,311,312,315,316,317,318,323,325,326,374,397,402,494,
495,591,597,800,802,803,808,809,817,818,819,820,821,838,839,840,842,933,1076,
1077,1428,1431,1433,1439,1440,1444,1446,1572,1976,1980,1981,2374],[1,2,3,4,7,
10,14,15,19,23,30,31,32,33,55,57,70,72,73,74,92,98,99,107,138,181,182,184,186,
188,237,248,309,311,312,315,316,317,318,323,325,326,374,397,402,494,495,592,
598,800,802,803,808,809,817,818,819,820,821,839,841,933,1078,1079,1428,1431,
1433,1439,1440,1445,1447,1573,1976,1982,1983,2375],[1,3,4,7,10,22,23,25,30,31,
32,33,38,55,57,70,73,74,129,132,133,138,139,150,181,184,186,188,207,236,237,
238,248,249,310,311,314,315,316,317,318,324,325,326,461,472,474,494,522,591,
597,598,614,616,804,806,807,808,810,816,817,819,820,821,837,838,839,840,841,
842,1033,1054,1076,1079,1112,1434,1436,1438,1439,1443,1444,1446,1447,1484,
1485,1643,1978,1979,1980,1983,1985,2376],[1,3,4,7,10,22,23,25,30,31,32,33,38,
55,57,70,73,74,129,132,133,138,139,150,181,182,184,186,188,207,237,310,311,
314,315,316,317,318,324,325,326,461,472,474,494,495,522,592,804,806,807,808,
810,816,817,818,819,820,821,837,839,1033,1077,1078,1434,1436,1438,1439,1440,
1443,1445,1644,1978,1981,1982,2377],[1,3,5,6,7,8,13,21,23,24,26,27,28,29,30,
32,34,35,41,42,45,46,47,49,50,51,52,53,81,83,84,86,87,88,89,123,124,125,126,
128,136,137,138,140,141,142,143,144,146,147,148,154,155,157,159,162,164,166,
168,170,171,173,174,175,176,177,178,179,180,193,213,214,215,222,224,320,333,
334,335,339,340,344,345,347,348,350,351,352,438,439,440,441,443,445,447,449,
450,480,481,484,486,487,488,491,492,493,497,498,502,503,504,507,508,528,530,
532,534,540,542,547,568,569,825,827,828,829,831,832,833,849,851,853,860,861,
863,864,997,999,1000,1005,1009,1058,1060,1061,1063,1086,1088,1449,1450,1451,
1455,1456,1459,1461,1462,1463,1466,1467,1468,1490,1608,1986,1988,1989,1996,
1998,1999,2001,2378],[1,3,5,6,7,8,13,21,23,24,26,27,28,29,30,32,34,35,43,44,
45,48,50,51,54,81,83,84,86,87,88,89,123,124,125,126,128,136,137,138,140,141,
142,143,144,146,147,148,156,158,160,161,162,164,167,169,171,173,175,176,179,
196,216,217,223,320,333,334,335,341,342,344,345,346,349,350,351,438,439,440,
442,444,445,448,449,482,483,484,486,489,490,491,492,499,500,502,505,506,507,
536,538,544,546,549,551,825,827,828,829,831,832,833,850,851,852,866,867,869,
870,998,999,1001,1007,1011,1064,1066,1067,1069,1090,1092,1449,1450,1451,1457,
1458,1459,1461,1464,1465,1466,1467,1491,1609,1987,1988,1990,2002,2004,2005,
2007,2379],[1,3,4,5,6,7,8,13,22,23,25,26,28,30,31,33,34,36,37,38,39,40,41,42,
44,45,46,48,49,50,52,54,82,83,85,86,88,129,130,131,132,135,136,138,139,141,
149,150,151,152,154,156,157,158,162,163,165,166,167,169,175,177,189,196,197,
199,200,201,202,204,205,206,213,214,217,223,224,320,336,337,338,339,342,343,
344,346,347,460,461,462,463,465,467,469,471,480,482,484,485,487,489,513,515,
517,518,520,528,529,531,536,539,540,543,544,562,585,604,606,609,826,827,829,
830,832,854,856,857,859,860,868,869,1028,1030,1031,1036,1040,1058,1059,1064,
1065,1103,1105,1452,1453,1454,1455,1457,1459,1460,1462,1464,1492,1638,1991,
1993,1994,1996,1997,2002,2003,2380],[1,3,4,5,6,7,8,13,22,23,25,26,27,28,29,30,
31,33,34,35,36,37,38,39,40,42,43,44,45,46,47,50,51,52,53,82,83,84,85,86,88,89,
129,130,131,132,135,136,137,138,139,141,142,149,150,151,152,155,159,160,161,
162,163,165,166,167,168,170,171,174,175,178,179,180,189,193,198,199,200,202,
203,205,215,216,222,320,336,337,338,340,341,343,344,348,349,350,352,460,461,
462,464,466,467,470,471,481,483,484,485,488,490,491,493,514,516,517,519,521,
532,535,547,548,549,550,552,562,568,605,826,827,828,829,830,832,833,855,856,
858,862,863,865,866,1029,1030,1032,1038,1042,1061,1062,1067,1068,1104,1106,
1452,1453,1454,1456,1458,1459,1460,1463,1465,1466,1468,1493,1639,1992,1993,
1995,1999,2000,2005,2006,2381],[1,2,3,4,5,6,7,8,10,14,15,16,17,18,19,20,23,26,
28,30,31,34,36,39,41,42,43,44,45,46,49,50,52,70,72,73,74,92,94,96,98,100,104,
107,110,111,114,115,116,117,118,120,136,138,141,154,157,160,161,162,163,166,
167,175,177,197,198,201,203,213,214,216,224,309,311,312,315,316,323,353,372,
374,376,383,385,387,389,393,413,414,417,420,421,431,432,480,483,484,487,490,
528,529,540,541,549,550,800,802,808,809,834,871,872,873,925,927,929,945,949,
984,987,1058,1067,1428,1469,1472,1474,1476,1477,1494,1565,2008,2010,2011,2025,
2382],[1,2,3,4,5,6,7,8,10,14,15,16,17,18,19,20,23,24,25,26,28,29,32,33,35,36,
37,38,40,41,42,43,44,45,46,49,51,53,54,70,72,73,74,92,93,94,96,97,99,101,104,
108,109,112,113,114,115,116,117,118,121,122,136,139,140,142,143,147,149,151,
154,157,158,159,160,161,164,165,168,169,176,178,197,198,199,200,202,203,206,
213,215,216,217,309,311,312,313,314,317,318,323,324,353,372,375,377,378,381,
383,385,386,388,390,394,413,414,418,419,422,423,431,433,480,483,485,486,488,
489,497,500,503,506,513,516,518,521,530,531,542,543,546,548,551,552,604,605,
800,801,803,810,811,812,813,834,871,872,873,925,928,930,935,938,946,950,985,
986,988,989,1059,1060,1068,1069,1429,1469,1471,1472,1474,1475,1478,1479,1494,
1495,1566,2008,2012,2013,2020,2022,2026,2029,2383],[1,3,4,5,6,7,8,10,22,23,25,
26,28,30,31,33,34,36,37,38,39,40,41,42,44,45,46,48,49,50,52,54,70,73,74,129,
130,131,132,135,136,138,139,141,149,150,151,152,154,156,157,158,162,163,165,
166,167,169,175,177,189,196,197,199,200,201,202,204,205,206,213,214,217,223,
224,310,311,314,315,316,318,324,353,460,461,462,463,465,467,469,471,480,482,
484,485,487,489,513,515,517,518,520,528,529,531,536,539,540,543,544,562,585,
604,606,609,804,806,808,810,816,834,872,873,1028,1030,1031,1036,1040,1058,
1059,1064,1065,1103,1105,1434,1469,1473,1475,1476,1477,1479,1495,1638,2009,
2010,2012,2027,2030,2384],[1,2,3,4,5,6,7,8,10,15,16,18,19,20,22,23,24,25,26,
28,29,31,32,35,36,37,38,39,40,41,42,43,44,45,46,48,49,51,53,70,72,73,74,103,
104,106,107,108,111,112,114,116,117,118,122,129,130,131,133,134,136,140,142,
143,145,147,149,153,154,156,157,158,159,161,163,164,167,168,176,178,197,198,
199,200,201,202,203,204,210,213,215,216,217,310,311,312,313,314,316,317,323,
324,353,409,410,412,413,416,417,418,421,422,427,428,431,433,460,463,465,466,
468,470,480,482,486,488,490,497,499,501,503,505,513,515,519,521,529,530,537,
538,541,542,545,546,604,605,804,805,807,809,811,812,814,834,871,872,873,979,
981,983,984,985,993,994,1028,1032,1037,1041,1060,1066,1085,1089,1435,1469,
1471,1473,1474,1475,1477,1478,1494,1495,1606,2009,2011,2013,2021,2023,2028,
2029,2385],[1,3,5,6,7,8,10,23,26,28,30,32,34,35,41,42,45,46,49,50,51,52,53,55,
56,57,58,59,70,74,136,138,141,154,157,162,164,166,168,175,177,181,183,184,185,
186,187,191,194,213,214,215,218,219,220,221,224,225,226,228,229,230,231,232,
233,234,235,311,315,317,325,326,353,480,484,487,494,496,528,530,540,553,555,
557,558,559,560,564,577,579,580,581,582,584,622,623,624,625,626,627,643,644,
645,808,817,819,820,834,873,1058,1070,1072,1116,1118,1119,1130,1132,1133,1439,
1469,1476,1478,1496,1497,1666,2010,2031,2033,2034,2386],[1,3,5,6,7,8,10,23,26,
28,30,33,34,41,42,45,46,49,50,52,54,70,74,136,138,141,154,157,162,165,166,169,
175,177,182,192,195,213,214,224,227,311,315,318,353,480,484,487,495,528,531,
540,554,556,566,578,583,586,808,818,834,873,1058,1071,1073,1117,1131,1440,
1469,1476,1479,1667,2010,2032,2387],[1,3,4,5,6,7,8,12,22,23,25,26,28,30,31,33,
34,36,37,38,39,40,41,42,44,45,46,48,49,50,52,54,78,79,80,129,130,131,132,135,
136,138,139,141,149,150,151,152,154,156,157,158,162,163,165,166,167,169,175,
177,189,196,197,199,200,201,202,204,205,206,213,214,217,223,224,319,332,355,
358,460,461,462,463,465,467,469,471,480,482,484,485,487,489,513,515,517,518,
520,528,529,531,536,539,540,543,544,562,585,604,606,609,822,823,824,876,877,
878,882,883,884,1028,1030,1031,1036,1040,1058,1059,1064,1065,1103,1105,1448,
1470,1498,1509,1638,2014,2015,2016,2388],[1,3,5,6,7,8,13,23,26,28,30,32,34,35,
45,50,51,55,56,57,58,83,86,88,136,138,141,162,164,175,181,183,184,185,186,187,
191,218,220,225,229,231,232,236,237,238,239,240,241,242,246,249,250,320,344,
359,484,494,496,553,557,559,577,579,581,591,593,595,597,599,600,629,630,631,
639,646,648,649,658,659,661,827,829,832,879,887,889,895,1070,1076,1080,1142,
1147,1159,1169,1459,1503,1507,1673,2018,2389],[1,3,4,7,12,22,23,25,30,31,32,
33,38,55,57,78,79,80,129,132,133,138,139,150,181,184,186,188,207,236,237,238,
248,249,319,332,360,461,472,474,494,522,591,597,598,614,616,822,823,824,891,
893,894,1033,1054,1076,1079,1112,1448,1516,1517,1643,2017,2390],[1,3,7,13,21,
23,24,30,32,55,57,81,86,87,123,126,138,140,146,181,184,186,236,237,238,249,
320,334,359,439,451,453,494,510,591,592,597,825,829,831,885,887,888,895,1002,
1026,1076,1078,1101,1450,1510,1614,2018,2391],[1,3,4,7,13,22,23,25,30,31,32,
33,38,55,57,82,85,86,129,132,133,138,139,150,181,184,186,188,207,236,237,238,
248,249,320,337,359,461,472,474,494,522,591,597,598,614,616,826,829,830,887,
895,1033,1054,1076,1079,1112,1453,1518,1643,2018,2392],[1,3,6,7,8,13,23,27,29,
30,32,34,35,50,51,55,56,57,58,84,86,89,137,138,142,171,173,179,181,184,186,
191,225,231,236,237,238,240,241,249,320,350,359,491,494,570,571,587,591,594,
597,646,647,828,829,833,886,887,890,895,1074,1076,1081,1155,1175,1466,1512,
1682,2018,2393],[1,3,4,7,8,12,22,23,25,30,31,33,35,38,56,58,59,78,79,80,129,
132,134,138,139,150,183,185,187,190,208,243,244,245,247,251,252,253,319,332,
361,461,475,477,496,523,596,601,602,603,618,619,620,621,822,823,824,892,896,
897,1034,1056,1057,1083,1084,1114,1115,1448,1519,1520,1647,2019,2394],[1,2,3,
4,5,6,7,8,10,14,15,16,17,18,19,20,24,25,26,29,30,31,34,36,37,38,39,40,41,42,
43,44,45,46,50,52,70,72,73,74,93,94,97,98,100,104,110,114,115,116,117,118,120,
143,145,146,148,149,150,152,153,154,158,159,160,161,162,163,166,167,179,180,
189,197,198,199,200,201,202,203,205,213,214,216,217,309,312,313,314,315,316,
323,324,353,378,380,382,383,386,387,389,395,413,420,431,432,497,500,501,502,
504,505,513,516,517,519,520,528,529,544,545,547,549,550,562,604,606,801,802,
814,815,816,834,871,872,873,935,937,939,945,951,1085,1086,1091,1092,1103,1106,
1430,1471,1472,1474,1475,1476,1477,1494,1495,1576,2020,2023,2024,2025,2030,
2395],[1,2,3,4,5,6,7,8,10,14,15,16,17,18,19,20,22,24,26,29,30,31,33,34,36,39,
41,42,43,44,45,46,48,50,52,54,70,72,73,74,94,98,100,103,104,106,109,110,113,
114,115,116,117,118,120,130,132,135,143,146,148,154,156,159,160,161,162,163,
165,166,167,169,179,180,196,197,198,201,203,213,214,216,223,309,310,312,313,
315,316,318,323,353,383,387,389,398,401,409,411,413,416,419,420,423,431,432,
463,466,467,469,497,499,502,504,506,528,529,531,536,539,547,548,549,550,802,
805,806,813,815,834,871,872,873,945,954,957,979,982,986,995,1036,1042,1086,
1090,1432,1471,1472,1473,1474,1476,1477,1479,1494,1585,2021,2022,2024,2025,
2027,2396],[1,3,4,5,6,7,8,10,24,25,26,29,30,31,33,34,36,37,38,39,40,41,42,44,
45,46,50,52,54,70,73,74,143,146,148,149,150,152,154,158,159,162,163,165,166,
167,169,179,180,182,189,192,195,197,199,200,201,202,205,213,214,217,227,313,
314,315,316,318,324,353,497,502,504,509,513,517,520,525,528,529,531,544,547,
554,556,562,566,589,604,606,815,816,818,834,872,873,1086,1093,1098,1103,1110,
1117,1134,1441,1471,1475,1476,1477,1479,1495,1687,2024,2030,2032,2397],[1,3,5,
6,7,8,10,24,26,29,30,32,34,35,41,42,45,46,50,51,52,53,55,56,59,70,74,143,146,
148,154,159,162,164,166,168,179,180,181,183,191,194,213,214,215,218,219,225,
226,228,235,313,315,317,325,353,497,502,504,510,512,528,530,547,553,555,564,
587,588,622,624,815,817,834,873,1086,1094,1096,1116,1136,1442,1471,1476,1478,
1496,1688,2024,2031,2398],[1,3,5,6,7,8,10,22,24,26,29,30,33,34,41,42,45,46,48,
50,52,54,70,74,130,132,135,143,146,148,154,156,159,162,165,166,169,179,180,
182,192,195,196,213,214,223,227,310,313,315,318,353,463,467,469,473,478,497,
502,504,528,531,536,539,547,554,556,566,590,806,815,818,834,873,1036,1044,
1048,1086,1097,1117,1127,1437,1471,1473,1476,1479,1649,2024,2027,2032,2399],[
1,2,3,4,5,6,7,8,10,14,15,16,17,18,19,20,26,30,31,32,33,34,35,36,39,41,42,43,
44,45,46,50,51,52,53,54,55,56,59,70,72,73,74,94,98,99,100,101,104,110,114,115,
116,117,118,120,121,154,160,161,162,163,164,165,166,167,168,169,181,182,183,
188,190,191,192,194,195,197,198,201,203,211,212,213,214,215,216,218,219,225,
226,227,228,235,309,312,315,316,317,318,323,325,353,383,387,388,389,390,397,
400,404,413,420,430,431,432,435,436,528,529,530,531,549,550,551,552,553,554,
555,556,561,563,564,565,566,567,622,624,802,803,817,818,821,834,871,872,873,
945,946,953,956,960,1116,1117,1120,1137,1138,1141,1431,1472,1474,1476,1477,
1478,1479,1494,1496,1584,2025,2026,2031,2032,2035,2400],[1,2,3,4,5,6,7,8,10,
14,15,16,17,18,19,20,26,30,31,33,34,36,39,41,42,43,44,45,46,50,52,54,57,58,70,
72,73,74,94,98,100,104,110,114,115,116,117,118,120,154,160,161,162,163,165,
166,167,169,182,184,185,192,195,197,198,201,203,213,214,216,220,221,227,229,
230,309,312,315,316,318,323,326,353,383,387,389,402,403,413,420,431,432,437,
528,529,531,549,550,554,556,557,558,566,623,625,802,818,819,834,871,872,873,
945,958,959,1117,1118,1139,1140,1433,1472,1474,1476,1477,1479,1494,1497,1586,
2025,2032,2033,2401],[1,3,4,5,6,7,8,10,22,25,26,30,31,32,33,34,35,36,37,38,39,
40,41,42,44,45,46,48,50,51,52,53,54,55,56,59,70,73,74,130,132,133,134,135,149,
150,152,154,156,158,162,163,164,165,166,167,168,169,181,183,188,189,190,191,
194,196,197,199,200,201,202,205,210,211,212,213,214,215,217,218,219,223,225,
226,228,235,310,314,315,316,317,318,324,325,353,463,467,468,469,470,472,475,
479,513,517,520,527,528,529,530,531,536,537,538,539,544,553,555,561,562,563,
564,565,567,604,606,612,613,622,624,806,807,816,817,821,834,872,873,1036,1037,
1043,1047,1050,1103,1109,1116,1120,1126,1129,1436,1473,1475,1476,1477,1478,
1479,1495,1496,1648,2027,2028,2030,2031,2035,2402],[1,3,5,6,7,8,10,22,26,30,
33,34,41,42,45,46,48,50,52,54,57,58,70,74,130,132,135,154,156,162,165,166,169,
184,185,196,213,214,220,221,223,229,230,310,315,318,326,353,463,467,469,474,
477,528,531,536,539,557,558,623,625,642,806,819,834,873,1036,1045,1049,1118,
1128,1438,1473,1476,1479,1497,1650,2027,2033,2403],[1,3,4,5,6,7,8,10,25,26,30,
31,34,36,37,38,39,40,41,42,44,45,46,50,52,57,58,70,73,74,149,150,152,154,158,
162,163,166,167,184,185,189,197,199,200,201,202,205,207,208,213,214,217,220,
221,229,230,314,315,316,324,326,353,513,517,520,522,523,528,529,544,557,558,
562,604,606,607,608,610,623,625,628,816,819,834,837,872,873,1103,1107,1111,
1118,1135,1179,1180,1443,1475,1476,1477,1495,1497,1700,2030,2033,2036,2404],[
1,3,5,6,7,8,10,26,30,32,34,35,41,42,45,46,50,51,52,53,55,56,57,58,59,70,74,
154,162,164,166,168,181,183,186,187,191,194,213,214,215,218,219,220,221,225,
226,228,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,
315,317,325,326,353,528,530,553,555,559,560,564,591,593,595,596,622,623,624,
626,627,629,630,631,632,633,634,635,636,646,648,649,650,652,653,654,655,656,
657,817,820,834,838,839,840,873,1116,1119,1142,1144,1146,1191,1192,1193,1196,
1198,1199,1444,1476,1478,1496,1497,1705,2031,2034,2037,2038,2039,2405],[1,3,5,
6,7,8,10,26,30,32,34,35,41,42,45,46,50,51,52,53,55,56,57,58,59,70,74,154,162,
164,166,168,181,183,191,194,213,214,215,218,219,220,221,225,226,228,235,237,
240,246,247,315,317,325,326,353,528,530,553,555,564,592,594,622,623,624,630,
633,636,647,651,817,834,839,873,1116,1143,1145,1192,1197,1445,1476,1478,1496,
1497,1706,2031,2038,2406],[1,3,5,6,7,8,10,26,30,34,41,42,45,46,50,52,55,56,57,
58,59,70,74,154,162,166,184,185,186,187,213,214,218,219,220,221,229,230,231,
232,233,234,237,238,240,241,242,244,245,246,247,249,250,252,253,315,325,326,
353,528,557,558,559,560,597,599,600,601,602,622,623,625,626,627,630,631,633,
634,635,636,639,640,658,659,661,662,663,664,666,667,668,669,819,820,834,839,
840,842,873,1118,1119,1147,1149,1151,1192,1193,1195,1200,1201,1203,1446,1476,
1496,1497,1707,2033,2034,2038,2039,2041,2407],[1,3,5,6,7,8,10,26,30,34,41,42,
45,46,50,52,57,58,70,74,154,162,166,184,185,213,214,220,221,229,230,248,251,
315,326,353,528,557,558,598,603,623,625,637,638,660,665,819,834,841,873,1118,
1148,1150,1194,1202,1447,1476,1497,1708,2033,2040,2408],[1,4,5,7,8,10,36,38,
40,41,44,45,46,55,56,57,58,59,73,74,197,200,202,207,208,213,217,218,219,220,
221,238,241,242,244,245,248,251,324,325,326,353,604,607,608,614,615,618,619,
622,623,628,631,634,635,637,638,837,840,841,872,873,1179,1181,1182,1193,1194,
1204,1206,1484,1495,1496,1497,1726,2036,2039,2040,2409],[1,4,5,7,8,10,36,38,
40,41,44,45,46,57,58,73,74,197,200,202,207,208,213,217,220,221,248,249,250,
251,252,253,324,326,353,604,607,608,616,617,620,621,623,628,637,638,639,640,
837,841,842,872,873,1179,1183,1184,1194,1195,1205,1207,1485,1495,1497,1727,
2036,2040,2041,2410],[1,3,5,6,7,8,13,26,30,32,34,35,41,42,45,46,50,51,52,53,
55,56,57,58,59,81,83,84,86,87,88,89,154,162,164,166,168,181,183,186,187,191,
194,213,214,215,218,219,220,221,225,226,228,231,232,233,234,235,236,237,238,
239,240,241,242,243,244,245,246,247,333,334,335,339,340,344,345,347,348,350,
351,352,359,528,530,553,555,559,560,564,591,593,595,596,622,623,624,626,627,
629,630,631,632,633,634,635,636,646,648,649,650,652,653,654,655,656,657,849,
851,853,860,861,863,864,879,885,886,887,888,889,890,1116,1119,1142,1144,1146,
1191,1192,1193,1196,1198,1199,1490,1499,1501,1502,1503,1504,1505,1506,1510,
1511,1512,1513,1514,1515,1705,2042,2043,2044,2049,2050,2051,2052,2411],[1,4,5,
7,8,12,36,38,40,41,44,45,46,57,58,78,79,80,197,200,202,207,208,213,217,220,
221,248,249,250,251,252,253,332,355,604,607,608,616,617,620,621,623,628,637,
638,639,640,876,877,878,893,896,1179,1183,1184,1194,1195,1205,1207,1498,1516,
1519,1727,2046,2412],[1,4,5,7,8,12,36,38,40,41,44,45,46,57,58,78,79,80,197,
200,202,207,208,213,217,220,221,248,249,250,251,252,253,332,355,604,607,608,
616,617,620,621,623,628,637,638,639,640,876,877,878,894,897,1179,1183,1184,
1194,1195,1205,1207,1498,1517,1520,1727,2047,2413],[1,4,5,7,8,13,36,38,40,41,
44,45,46,57,58,82,83,85,86,88,197,200,202,207,208,213,217,220,221,248,249,250,
251,252,253,336,337,338,339,342,343,344,346,347,604,607,608,616,617,620,621,
623,628,637,638,639,640,854,856,857,859,860,868,869,895,1179,1183,1184,1194,
1195,1205,1207,1492,1507,1518,1727,2048,2053,2054,2414],[1,4,6,7,8,12,37,38,
39,48,49,50,53,54,56,57,58,59,78,79,80,204,205,206,207,208,210,212,223,224,
226,229,232,234,242,243,245,246,248,249,251,252,332,358,361,609,610,613,615,
616,619,621,642,644,655,660,661,663,665,882,883,884,892,894,896,1186,1188,
1190,1212,1213,1218,1219,1509,1517,1519,1733,2057,2415],[1,4,6,7,8,12,37,38,
39,48,49,50,53,54,56,57,58,59,78,79,80,204,205,206,207,208,210,211,223,224,
228,229,232,233,242,243,244,246,248,249,251,253,332,358,361,609,610,612,615,
616,618,620,642,645,657,660,661,664,665,882,883,884,892,893,897,1185,1188,
1189,1211,1212,1220,1221,1509,1516,1520,1731,2058,2416],[1,2,3,4,9,10,11,12,
13,14,15,23,61,62,63,64,67,68,70,71,72,73,75,76,79,81,85,92,254,255,256,257,
258,264,265,268,274,279,282,309,311,312,321,670,671,672,673,674,675,676,677,
678,679,683,687,688,689,691,693,697,719,800,898,1222,1225,1229,1232,1234,1235,
1236,1237,1238,1244,1246,1284,1521,1522,1523,1524,1526,1735,1761,2059,2060,
2061,2062,2063,2417],[1,2,3,4,9,10,11,12,13,14,24,25,61,63,64,70,72,73,75,77,
78,81,82,93,254,255,256,257,258,265,309,313,314,327,671,672,673,674,679,680,
687,690,691,692,696,801,898,1229,1234,1247,1248,1286,1521,1524,1525,1749,2060,
2065,2066,2418],[1,2,3,7,9,10,11,12,13,14,32,33,61,63,64,70,72,74,75,80,81,86,
87,99,254,255,256,257,258,265,309,317,318,334,671,672,673,674,679,684,687,691,
694,695,698,803,898,1229,1234,1251,1252,1288,1521,1524,1527,1752,2060,2067,
2068,2419],[1,2,3,4,9,10,11,12,13,15,21,25,61,63,67,68,70,71,72,73,75,76,102,
254,255,256,257,258,279,294,295,303,304,305,306,307,308,312,314,321,322,671,
672,674,675,676,687,731,748,790,799,898,1235,1239,1240,1275,1276,1278,1279,
1280,1281,1521,1760,1762,1822,1825,2070,2420],[1,3,7,9,10,11,12,13,23,24,32,
64,67,70,71,74,80,81,86,87,140,254,255,256,257,258,282,311,313,317,334,673,
675,677,678,679,684,691,694,695,698,811,898,1236,1244,1247,1251,1288,1522,
1524,1527,1775,2062,2065,2067,2421],[1,3,4,9,10,11,12,13,23,25,33,64,67,70,71,
73,77,78,81,82,139,254,255,256,257,258,282,311,314,318,327,673,675,677,678,
679,680,690,691,692,696,810,898,1236,1244,1248,1252,1286,1522,1524,1525,1776,
2062,2066,2068,2422],[1,2,3,4,9,10,11,12,13,15,24,33,61,62,64,68,70,72,73,76,
79,81,85,109,254,255,256,257,258,268,274,312,313,318,670,673,674,676,679,683,
688,689,691,693,697,813,898,1225,1237,1247,1252,1284,1523,1524,1526,1745,2063,
2065,2068,2423],[1,2,3,4,7,9,10,11,12,13,15,19,25,32,38,61,62,64,68,70,72,73,
74,76,77,78,79,80,81,82,85,86,87,108,254,255,256,257,258,268,272,274,276,312,
314,317,323,324,327,330,332,334,337,670,673,674,676,679,680,683,684,688,689,
690,691,692,693,694,695,696,697,698,740,812,898,1225,1227,1237,1248,1251,1257,
1283,1284,1285,1286,1287,1288,1289,1291,1523,1524,1525,1526,1527,1744,1834,
2063,2064,2066,2067,2069,2424],[1,3,9,10,11,12,13,21,23,24,64,67,70,71,81,123,
254,255,256,257,258,282,294,298,303,304,305,306,307,308,311,313,673,675,679,
691,757,782,789,797,898,1236,1239,1241,1275,1276,1278,1279,1280,1281,1524,
1764,1815,1821,1826,2070,2425],[1,2,3,9,10,11,12,13,14,21,22,61,63,67,70,71,
72,75,91,254,255,256,257,258,264,294,299,303,304,305,306,307,308,309,310,671,
672,674,675,687,715,781,788,793,898,1238,1239,1242,1275,1276,1278,1279,1280,
1281,1521,1766,1816,1818,1820,2070,2426],[1,3,5,6,9,10,11,12,13,26,41,42,64,
65,66,67,69,70,71,83,154,254,255,256,257,258,281,284,285,288,290,339,353,354,
355,673,675,677,678,681,685,752,760,834,835,898,1243,1259,1265,1273,1274,1292,
1293,1522,1768,1769,1770,1810,2071,2427],[1,3,5,6,9,10,11,12,13,26,41,42,64,
65,66,70,81,83,84,154,254,255,256,257,258,281,284,285,333,339,340,353,354,355,
673,679,681,682,691,752,834,849,898,1249,1259,1260,1273,1274,1292,1293,1524,
1768,1782,1839,2071,2428],[1,2,5,9,10,11,12,13,16,41,43,61,63,65,72,75,83,114,
254,255,256,257,258,266,278,284,286,287,339,353,354,355,671,672,674,681,687,
725,744,871,874,898,1230,1259,1261,1273,1274,1292,1293,1521,1754,1808,1809,
1812,2071,2429],[1,4,5,9,10,11,12,13,36,41,44,65,73,77,78,82,83,197,254,255,
256,257,258,284,328,336,339,341,342,353,354,355,680,681,690,692,696,844,854,
872,876,898,1255,1259,1262,1273,1274,1292,1293,1525,1794,1840,1841,1846,2071,
2430],[1,2,5,9,10,11,12,13,16,41,43,61,62,65,72,83,114,254,255,256,257,258,
266,271,284,286,339,349,353,354,355,670,674,681,689,725,733,871,898,1223,1259,
1268,1273,1274,1292,1293,1523,1737,1809,1842,2071,2431],[1,4,5,9,10,11,12,13,
36,41,44,65,68,73,76,79,83,85,197,254,255,256,257,258,284,289,291,339,343,346,
353,354,355,676,681,683,688,693,697,761,859,872,875,877,898,1259,1263,1266,
1273,1274,1292,1293,1526,1800,1811,1813,1843,1847,2071,2432],[1,5,7,8,9,10,11,
12,13,41,45,46,65,74,80,83,86,87,88,89,213,254,255,256,257,258,284,339,344,
345,347,348,353,354,355,681,684,686,694,695,698,860,861,873,878,898,1259,1264,
1267,1273,1274,1292,1293,1527,1801,1844,1845,1848,2071,2433],[1,5,7,8,41,45,
46,55,56,59,90,213,218,219,236,239,243,362,622,629,632,899,1191,1529,2072,
2434],[1,2,3,4,5,6,9,15,16,18,26,36,41,42,43,44,60,63,65,67,68,69,104,114,116,
154,161,197,198,259,260,261,262,263,278,279,280,284,287,288,289,290,291,364,
413,699,700,701,703,706,707,708,709,710,744,746,747,760,761,765,766,902,903,
904,905,906,1294,1295,1296,1300,1303,1305,1306,1352,1530,1531,1532,1533,1534,
1535,1536,1537,1538,1849,2073,2074,2075,2078,2079,2080,2081,2435],[1,2,3,4,5,
6,9,15,16,18,22,24,26,29,36,60,63,65,67,68,69,103,104,106,130,143,259,260,261,
262,263,278,279,280,288,289,297,298,299,364,409,699,700,701,702,703,704,705,
708,746,750,751,769,774,902,903,904,905,906,1295,1297,1298,1299,1302,1355,
1530,1531,1532,1535,1536,1539,1540,1541,1850,2074,2076,2077,2082,2085,2436],[
1,2,3,4,5,6,9,15,16,18,26,29,36,48,60,63,65,67,68,69,104,156,159,259,260,261,
262,263,278,279,280,288,289,297,302,364,416,699,700,701,703,705,708,711,746,
772,773,902,903,904,905,906,1295,1301,1304,1357,1530,1531,1532,1535,1536,1539,
1542,1851,2074,2083,2084,2437],[1,3,5,6,9,24,26,29,41,42,60,65,67,69,143,154,
159,260,261,262,284,288,290,297,298,364,497,703,704,705,706,707,760,769,772,
903,904,906,1300,1302,1304,1366,1533,1535,1537,1539,1540,1854,2078,2082,2083,
2438],[1,3,5,6,9,22,26,41,42,48,60,65,67,69,130,154,156,260,261,262,284,288,
290,299,302,364,463,702,703,706,707,711,760,773,774,903,904,906,1299,1300,
1301,1367,1533,1535,1537,1541,1542,1852,2078,2084,2085,2439],[1,3,5,6,9,24,26,
29,43,44,48,60,65,67,69,143,156,161,260,261,262,287,288,291,297,298,302,364,
499,703,704,705,709,710,711,765,769,773,903,904,906,1301,1302,1303,1378,1534,
1535,1538,1539,1540,1542,1855,2080,2082,2084,2440],[1,3,5,6,9,22,26,29,43,44,
60,65,67,69,130,159,161,260,261,262,287,288,291,297,299,364,466,702,703,705,
709,710,765,772,774,903,904,906,1299,1303,1304,1379,1534,1535,1538,1539,1541,
1853,2080,2083,2085,2441],[1,3,5,6,10,22,26,41,42,48,60,70,130,154,156,260,
261,262,310,353,365,463,702,703,706,707,711,834,908,1299,1300,1301,1473,1544,
1547,1852,2087,2442],[1,2,3,4,5,6,10,15,16,18,26,36,41,42,43,44,60,70,72,73,
104,114,116,154,161,197,198,259,260,261,262,263,312,353,365,413,699,700,701,
703,706,707,708,709,710,834,871,872,907,908,909,1294,1295,1296,1300,1303,1305,
1306,1474,1543,1547,1849,2087,2089,2090,2443],[1,3,5,6,10,24,26,29,41,42,60,
70,143,154,159,260,261,262,313,353,365,497,703,704,705,706,707,834,908,1300,
1302,1304,1471,1545,1547,1854,2087,2444],[1,2,3,4,5,6,11,15,16,18,26,36,41,42,
43,44,60,71,75,76,104,114,116,154,161,197,198,259,260,261,262,263,321,354,366,
413,699,700,701,703,706,707,708,709,710,835,874,875,910,911,912,1294,1295,
1296,1300,1303,1305,1306,1480,1546,1548,1849,2088,2091,2092,2445],[1,2,3,4,9,
14,15,21,22,23,24,25,60,61,63,64,67,68,91,92,93,102,103,123,129,259,260,263,
264,265,268,279,282,303,367,700,702,704,719,731,781,782,1297,1334,1549,2093,
2094,2095,2446],[1,2,3,4,5,6,9,15,16,18,21,25,26,27,36,37,60,61,64,65,66,68,
102,104,105,124,149,259,260,261,262,263,266,268,270,281,289,303,405,699,700,
701,703,708,727,731,783,1295,1335,1549,2093,2096,2447],[1,2,3,4,6,9,14,15,17,
18,21,22,25,28,29,60,61,63,64,66,68,69,91,96,97,102,106,125,131,259,260,263,
265,267,268,269,270,280,283,303,369,700,702,705,724,731,781,784,1298,1336,
1549,2093,2094,2097,2448],[1,2,3,5,6,9,14,16,17,21,22,26,27,60,61,63,64,65,66,
91,94,95,124,130,260,261,262,265,266,267,278,281,303,368,702,703,723,781,783,
1299,1380,1549,2094,2096,2449],[1,3,5,6,9,21,23,24,26,27,28,29,60,64,65,66,67,
69,123,124,125,136,137,143,144,260,261,262,281,282,283,288,292,303,438,703,
704,705,754,782,783,784,1302,1383,1549,2095,2096,2097,2450],[1,3,5,6,9,21,26,
27,41,42,47,60,64,65,66,124,154,155,260,261,262,281,284,285,303,441,703,706,
707,752,783,1300,1386,1549,2096,2451],[1,3,5,6,9,21,26,27,28,29,42,49,60,64,
65,66,69,124,125,157,159,170,260,261,262,281,283,285,290,293,303,443,703,705,
755,783,784,1304,1388,1549,2096,2097,2452],[1,3,5,6,9,21,26,27,43,48,60,64,65,
66,124,156,160,260,261,262,281,286,287,303,442,703,711,753,783,1301,1387,1549,
2096,2453],[1,3,5,6,9,21,26,27,43,44,60,64,65,66,124,158,161,260,261,262,281,
286,291,303,444,703,709,710,756,783,1303,1389,1549,2096,2454],[1,3,4,5,6,13,
22,23,25,26,28,36,37,60,77,81,82,83,84,129,130,131,136,149,260,261,262,320,
327,328,329,333,336,460,702,703,826,827,843,1299,1452,1550,2098,2099,2455],[1,
2,3,4,7,13,15,19,22,23,24,25,31,32,38,60,62,77,81,82,85,86,87,103,107,108,129,
133,140,145,259,260,263,272,274,276,320,327,330,334,337,410,700,702,704,732,
740,826,831,1297,1342,1550,2098,2100,2101,2456],[1,2,3,4,8,13,15,20,22,23,25,
29,31,35,40,60,62,77,81,82,85,88,89,106,107,112,129,134,142,153,259,260,263,
273,274,277,320,327,331,335,338,427,700,702,705,732,742,826,833,1298,1344,
1550,2098,2100,2102,2457],[1,3,5,6,13,23,26,28,41,42,49,60,81,83,84,136,154,
157,260,261,262,320,333,339,340,480,703,706,707,827,849,1300,1455,1550,2099,
2458],[1,3,5,6,13,23,26,28,44,48,60,81,83,84,136,156,158,260,261,262,320,333,
341,342,482,703,711,827,850,1301,1457,1550,2099,2459],[1,2,3,4,5,6,13,15,16,
18,23,26,28,31,36,39,60,62,81,83,84,85,104,107,111,136,163,259,260,261,262,
263,271,274,275,320,333,343,417,699,700,701,703,708,732,736,827,1295,1340,
1550,2099,2100,2460],[1,3,5,6,7,8,13,23,24,26,28,29,32,35,45,51,60,81,83,84,
86,87,88,89,136,140,142,143,147,164,176,260,261,262,320,333,334,335,344,345,
350,351,486,703,704,705,827,831,833,851,1302,1461,1550,2099,2101,2102,2461],[
1,3,5,6,13,23,26,28,43,44,60,81,83,84,136,161,167,260,261,262,320,333,346,349,
490,703,709,710,827,852,1303,1465,1550,2099,2462],[1,3,5,6,8,13,23,26,28,29,
35,46,53,60,81,83,84,88,89,136,142,159,168,178,260,261,262,320,333,335,347,
348,352,488,703,705,827,833,853,1304,1463,1550,2099,2102,2463],[1,5,10,12,13,
41,83,90,257,339,353,355,362,712,713,714,899,1292,1308,1551,1856,1857,1858,
2464],[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,
32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,
58,59,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,
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,
225,226,227,228,229,230,231,232,233,234,235,367,368,369,370,371,372,373,374,
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,
584,585,586,587,588,589,590,604,605,606,607,608,609,610,611,612,613,622,623,
624,625,626,627,628,641,642,643,644,645,913,914,915,916,917,918,919,920,921,
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,
1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1028,1029,1030,
1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,
1046,1047,1048,1049,1050,1051,1052,1053,1058,1059,1060,1061,1062,1063,1064,
1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1085,1086,1087,1088,
1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1103,1104,1105,
1106,1107,1108,1109,1110,1111,1116,1117,1118,1119,1120,1121,1122,1123,1124,
1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,
1140,1141,1152,1153,1154,1179,1180,1185,1186,1552,1553,1554,1555,1556,1557,
1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1576,
1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,1590,1591,
1592,1593,1594,1595,1596,1597,1598,1604,1605,1606,1607,1608,1609,1610,1611,
1612,1613,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,
1630,1631,1638,1639,1640,1641,1642,1648,1649,1650,1651,1652,1653,1654,1655,
1656,1657,1658,1666,1667,1668,1669,1670,1671,1672,1687,1688,1689,1690,1691,
1692,1693,1700,1701,1702,2104,2105,2106,2109,2110,2111,2112,2115,2116,2123,
2124,2125,2126,2129,2130,2131,2132,2139,2140,2465],[1,2,3,4,5,6,7,8,14,15,16,
17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,45,50,
51,55,56,57,58,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,
109,110,111,112,113,117,120,122,123,124,125,126,127,128,129,130,131,132,133,
134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,
153,162,163,164,165,171,172,173,175,176,179,181,182,183,184,185,186,187,188,
189,190,191,192,200,205,207,208,218,220,225,229,231,232,236,237,238,239,240,
241,242,246,248,249,250,367,368,369,370,371,372,373,374,375,376,377,378,379,
380,381,382,387,388,391,392,393,394,395,396,397,398,399,400,401,402,403,404,
405,406,407,408,409,410,411,412,417,418,419,424,425,426,427,428,438,439,440,
445,446,449,451,452,453,454,455,456,457,460,461,462,467,468,471,472,473,474,
475,476,477,478,479,484,485,486,491,492,494,495,496,501,502,507,509,510,511,
512,517,522,523,524,525,553,554,557,559,561,570,571,574,577,578,579,581,587,
591,592,593,594,595,597,598,599,600,607,610,614,615,616,617,629,630,631,637,
639,646,647,648,649,658,659,660,661,913,914,915,918,920,921,922,923,924,927,
928,931,932,933,934,937,940,941,942,943,944,952,953,954,959,961,962,963,964,
965,966,969,970,971,972,975,981,999,1002,1003,1004,1012,1013,1014,1015,1021,
1022,1023,1026,1027,1030,1033,1034,1035,1043,1044,1045,1051,1052,1053,1054,
1055,1070,1071,1074,1076,1077,1078,1079,1080,1081,1082,1093,1094,1099,1101,
1102,1107,1112,1113,1142,1143,1147,1148,1155,1156,1159,1160,1169,1170,1175,
1176,1181,1183,1187,1188,1553,1555,1556,1559,1560,1563,1564,1569,1571,1572,
1573,1574,1575,1578,1579,1582,1610,1611,1614,1615,1616,1632,1634,1640,1643,
1644,1645,1646,1659,1665,1673,1674,1675,1676,1682,1683,1684,1694,1696,1703,
2105,2107,2108,2117,2118,2121,2122,2133,2134,2141,2142,2466],[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,
40,45,46,50,51,53,54,55,56,57,58,59,91,92,93,94,95,96,97,98,99,100,101,102,
103,104,105,106,107,108,109,110,111,112,113,117,120,121,122,123,124,125,126,
127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,
146,147,148,149,150,151,152,153,162,163,164,165,168,169,171,172,173,175,176,
179,181,182,183,184,185,186,187,188,189,190,191,192,194,195,200,205,207,208,
211,212,218,219,220,221,225,226,227,228,229,230,231,232,233,234,239,240,241,
242,243,244,245,246,247,250,251,252,253,367,368,369,370,371,372,373,374,375,
376,377,378,379,380,381,382,387,388,390,391,392,393,394,395,396,397,398,399,
400,401,402,403,404,405,406,407,408,409,410,411,412,417,418,419,424,425,426,
427,428,430,435,436,437,438,439,440,445,446,449,451,452,453,454,455,456,457,
460,461,462,467,468,471,472,473,474,475,476,477,478,479,484,485,486,491,492,
494,495,496,501,502,507,509,510,511,512,517,522,523,524,525,553,554,555,556,
557,558,559,560,561,563,570,571,574,577,578,579,580,581,582,583,584,587,593,
594,595,596,599,600,601,602,603,607,610,618,619,620,621,632,633,634,635,636,
638,640,650,651,652,653,654,655,656,657,662,663,664,665,666,667,668,669,913,
914,915,918,920,921,922,923,924,927,928,931,932,933,934,937,940,941,942,943,
944,952,953,954,956,958,959,961,962,963,964,965,966,967,968,969,970,971,972,
975,981,999,1002,1003,1004,1012,1013,1014,1015,1021,1022,1023,1027,1030,1033,
1034,1035,1043,1044,1045,1051,1052,1053,1056,1057,1070,1071,1072,1073,1074,
1080,1081,1083,1084,1093,1094,1099,1102,1107,1114,1115,1144,1145,1146,1149,
1150,1151,1157,1158,1161,1162,1163,1164,1165,1166,1167,1168,1171,1172,1173,
1174,1177,1178,1182,1184,1189,1190,1553,1555,1556,1559,1560,1563,1564,1569,
1570,1571,1578,1579,1582,1599,1600,1601,1602,1603,1610,1611,1616,1633,1635,
1636,1637,1640,1647,1660,1661,1662,1663,1664,1677,1678,1679,1680,1681,1685,
1695,1697,1698,1699,1704,2105,2113,2114,2119,2120,2127,2128,2135,2136,2143,
2144,2467],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,20,23,26,28,30,31,32,33,34,35,
36,39,41,42,43,44,45,46,49,50,51,52,53,54,55,56,57,58,59,92,94,96,98,99,100,
101,104,107,110,111,114,115,116,117,118,120,121,136,138,141,154,157,160,161,
162,163,164,165,166,167,168,169,175,177,181,182,183,184,185,186,187,188,190,
191,192,194,195,197,198,201,203,211,212,213,214,215,216,218,219,220,221,224,
225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,
244,245,246,247,249,250,252,253,372,374,376,383,385,387,388,389,390,393,397,
400,402,403,404,413,414,417,420,421,430,431,432,435,436,437,480,483,484,487,
490,494,495,496,528,529,530,531,540,541,549,550,551,552,553,554,555,556,557,
558,559,560,561,563,564,565,566,567,577,578,579,580,581,582,583,584,586,591,
593,595,596,597,599,600,601,602,622,623,624,625,626,627,629,630,631,632,633,
634,635,636,639,640,643,644,645,646,648,649,650,652,653,654,655,656,657,658,
659,661,662,663,664,666,667,668,669,925,927,929,933,934,945,946,949,953,956,
958,959,960,965,966,967,968,984,987,1058,1067,1070,1071,1072,1073,1076,1077,
1080,1082,1083,1116,1117,1118,1119,1120,1130,1131,1132,1133,1137,1138,1139,
1140,1141,1142,1144,1146,1147,1149,1151,1159,1161,1162,1164,1167,1168,1169,
1171,1172,1173,1174,1191,1192,1193,1195,1196,1198,1199,1200,1201,1203,1214,
1215,1216,1217,1218,1221,1565,1569,1570,1572,1574,1584,1586,1592,1594,1599,
1601,1603,1666,1667,1671,1672,1673,1674,1677,1678,1681,1705,1707,1713,1715,
2115,2117,2119,2147,2148,2159,2160,2468],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,
20,23,26,28,30,31,32,33,34,35,36,39,41,42,43,44,45,46,49,50,51,52,53,54,55,56,
57,58,59,92,94,96,98,99,100,101,104,107,110,111,114,115,116,117,118,120,121,
136,138,141,154,157,160,161,162,163,164,165,166,167,168,169,175,177,181,182,
183,184,185,186,187,188,190,191,192,194,195,197,198,201,203,211,212,213,214,
215,216,218,219,220,221,224,225,226,227,228,229,230,231,232,233,234,235,237,
240,246,247,248,251,372,374,376,383,385,387,388,389,390,393,397,400,402,403,
404,413,414,417,420,421,430,431,432,435,436,437,480,483,484,487,490,494,495,
496,528,529,530,531,540,541,549,550,551,552,553,554,555,556,557,558,559,560,
561,563,564,565,566,567,577,578,579,580,581,582,583,584,586,592,594,598,603,
622,623,624,625,626,627,630,633,636,637,638,643,644,645,647,651,660,665,925,
927,929,933,934,945,946,949,953,956,958,959,960,965,966,967,968,984,987,1058,
1067,1070,1071,1072,1073,1078,1079,1081,1084,1116,1117,1118,1119,1120,1130,
1131,1132,1133,1137,1138,1139,1140,1141,1143,1145,1148,1150,1160,1163,1165,
1166,1170,1192,1194,1197,1202,1219,1220,1565,1569,1570,1573,1575,1584,1586,
1592,1594,1600,1602,1666,1667,1671,1672,1675,1676,1679,1680,1706,1708,1714,
1716,2115,2118,2120,2149,2150,2161,2162,2469],[1,2,3,4,5,6,7,8,14,15,16,17,18,
19,20,23,26,27,28,29,30,31,32,33,34,35,36,39,42,44,45,46,47,48,50,51,52,53,54,
55,56,57,58,59,92,94,96,98,99,100,101,104,107,110,111,116,117,118,119,120,121,
136,137,138,141,142,155,156,158,159,162,163,164,165,166,167,168,169,170,171,
173,174,175,178,179,180,181,182,183,184,185,186,187,188,190,191,192,193,194,
196,199,202,209,210,214,215,217,218,219,220,221,222,223,225,226,228,229,231,
232,233,234,235,236,237,238,239,240,241,242,244,245,246,247,249,250,251,372,
374,376,384,386,387,388,389,390,393,397,400,402,403,404,415,416,417,422,423,
429,433,434,481,482,484,488,489,491,493,494,495,496,532,533,534,535,536,537,
538,539,544,545,547,553,554,557,559,561,562,564,565,566,567,568,570,571,572,
573,575,577,578,579,581,587,588,590,591,593,594,595,597,599,600,603,624,626,
628,629,630,631,633,634,638,639,641,642,646,647,648,649,650,651,653,654,656,
658,659,661,665,926,927,930,933,934,947,948,951,953,955,957,959,960,965,966,
990,993,1061,1064,1070,1071,1074,1075,1076,1077,1080,1081,1082,1084,1121,1122,
1123,1124,1125,1126,1127,1128,1129,1134,1135,1136,1142,1145,1147,1150,1152,
1153,1155,1157,1158,1159,1163,1165,1166,1169,1175,1177,1178,1196,1197,1204,
1207,1208,1209,1210,1212,1567,1569,1572,1574,1588,1590,1596,1598,1600,1602,
1668,1669,1670,1673,1674,1679,1680,1682,1685,1686,1709,1711,1717,1719,1721,
1723,2116,2117,2120,2151,2152,2155,2156,2470],[1,2,3,4,5,6,7,8,14,15,16,17,18,
19,20,23,26,27,28,29,30,31,32,33,34,35,36,39,42,44,45,46,47,48,50,51,52,53,54,
55,56,57,58,59,92,94,96,98,99,100,101,104,107,110,111,116,117,118,119,120,121,
136,137,138,141,142,155,156,158,159,162,163,164,165,166,167,168,169,170,171,
173,174,175,178,179,180,181,182,183,184,185,186,187,188,190,191,192,193,194,
195,196,199,202,209,210,211,212,214,215,217,218,219,220,221,222,223,225,226,
227,228,229,230,231,232,233,234,235,237,239,240,241,242,243,244,245,246,247,
248,250,252,253,372,374,376,384,386,387,388,389,390,393,397,400,402,403,404,
415,416,417,422,423,429,430,433,434,435,436,437,481,482,484,488,489,491,493,
494,495,496,532,533,534,535,536,537,538,539,544,545,547,553,554,555,556,557,
558,559,560,561,562,563,564,565,566,567,568,570,571,572,573,575,577,578,579,
580,581,582,583,584,587,588,590,592,593,594,595,596,598,599,600,601,602,624,
627,628,630,632,633,634,635,636,637,640,641,642,647,649,650,651,652,653,654,
655,656,657,660,662,663,664,666,667,668,669,926,927,930,933,934,947,948,951,
953,955,956,957,958,959,960,965,966,967,968,990,993,1061,1064,1070,1071,1072,
1073,1074,1075,1078,1079,1080,1081,1083,1121,1122,1123,1124,1125,1126,1127,
1128,1129,1134,1135,1136,1143,1144,1146,1148,1149,1151,1152,1153,1156,1157,
1158,1160,1161,1162,1164,1167,1168,1170,1171,1172,1173,1174,1176,1177,1178,
1197,1199,1205,1206,1209,1211,1213,1567,1569,1570,1573,1575,1588,1590,1596,
1598,1599,1601,1603,1668,1669,1670,1675,1676,1677,1678,1681,1684,1685,1710,
1712,1718,1720,1722,1724,1725,2116,2118,2119,2153,2154,2157,2158,2471],[1,3,5,
6,7,8,21,23,24,26,27,28,29,30,32,34,35,41,42,45,46,47,49,50,51,52,53,55,56,57,
58,59,123,124,125,126,128,136,137,138,140,141,142,143,144,146,147,148,154,155,
157,159,162,164,166,168,170,171,173,174,175,176,177,178,179,180,181,183,184,
185,186,187,191,193,194,213,214,215,218,219,220,221,222,224,225,226,228,229,
230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,249,
250,252,253,438,439,440,441,443,445,447,449,450,451,453,455,456,458,480,481,
484,486,487,488,491,492,493,494,496,497,498,502,503,504,507,508,510,511,512,
528,530,532,534,540,542,547,553,555,557,558,559,560,564,568,569,570,571,572,
573,575,577,579,580,581,582,584,587,588,591,592,593,594,595,596,597,599,600,
601,602,622,623,624,625,626,627,629,630,631,632,633,634,635,636,639,640,641,
643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,661,662,
663,664,666,667,668,669,997,999,1000,1002,1004,1005,1009,1012,1014,1016,1018,
1021,1023,1024,1026,1027,1058,1060,1061,1063,1070,1072,1074,1075,1076,1078,
1080,1081,1083,1086,1088,1094,1095,1096,1099,1100,1101,1102,1116,1118,1119,
1121,1123,1130,1132,1133,1136,1142,1143,1144,1145,1146,1147,1149,1151,1152,
1153,1155,1156,1157,1158,1159,1160,1161,1163,1164,1165,1169,1171,1173,1174,
1175,1176,1177,1178,1191,1192,1193,1195,1196,1197,1198,1199,1200,1201,1203,
1208,1209,1214,1215,1216,1217,1218,1221,1608,1610,1612,1614,1616,1617,1619,
1625,1627,1632,1633,1634,1635,1637,1666,1668,1673,1675,1677,1679,1682,1684,
1685,1688,1690,1694,1695,1696,1697,1699,1705,1706,1707,1709,1710,1713,1714,
1715,1719,1720,1721,1722,1723,1724,2129,2133,2135,2137,2138,2147,2149,2151,
2153,2163,2164,2472],[1,3,5,6,7,8,21,23,24,26,27,28,29,30,32,33,34,35,41,42,
45,46,47,49,50,51,52,53,54,55,56,57,58,59,123,124,125,126,128,136,137,138,140,
141,142,143,144,146,147,148,154,155,157,159,162,164,165,166,168,169,170,171,
173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,191,192,193,194,
195,213,214,215,218,219,220,221,222,224,225,226,227,228,229,230,231,232,233,
234,235,248,251,438,439,440,441,443,445,447,449,450,451,453,455,456,458,480,
481,484,486,487,488,491,492,493,494,495,496,497,498,502,503,504,507,508,510,
511,512,528,530,531,532,534,540,542,547,553,554,555,556,557,558,559,560,564,
566,568,569,570,571,572,573,575,577,578,579,580,581,582,583,584,586,587,588,
598,603,622,623,624,625,626,627,637,638,641,643,644,645,660,665,997,999,1000,
1002,1004,1005,1009,1012,1014,1016,1018,1021,1023,1024,1058,1060,1061,1063,
1070,1071,1072,1073,1074,1075,1077,1079,1082,1084,1086,1088,1094,1095,1096,
1099,1100,1116,1117,1118,1119,1121,1123,1130,1131,1132,1133,1136,1148,1150,
1152,1153,1162,1166,1167,1168,1170,1172,1194,1202,1219,1220,1608,1610,1612,
1615,1617,1619,1625,1627,1636,1666,1667,1668,1674,1676,1678,1680,1681,1683,
1686,1688,1690,1698,1708,1716,1725,2129,2134,2136,2148,2150,2152,2154,2473],[
1,3,5,6,7,8,21,23,24,26,27,28,29,30,32,34,35,43,44,45,48,50,51,54,55,56,57,58,
123,124,125,126,128,136,137,138,140,141,142,143,144,146,147,148,156,158,160,
161,162,164,167,169,171,173,175,176,179,181,183,184,185,186,187,191,195,196,
216,217,218,220,223,225,227,229,231,232,236,237,238,239,240,241,242,246,249,
250,251,438,439,440,442,444,445,448,449,451,453,455,456,459,482,483,484,486,
489,490,491,492,494,496,499,500,502,505,506,507,510,511,512,536,538,544,546,
549,551,553,556,557,559,565,570,571,576,577,579,581,583,587,591,592,593,594,
595,597,599,600,603,628,629,630,631,638,639,642,646,647,648,649,658,659,661,
665,998,999,1001,1002,1004,1007,1011,1012,1014,1017,1019,1021,1023,1026,1027,
1064,1066,1067,1069,1070,1073,1074,1076,1078,1080,1081,1084,1090,1092,1094,
1097,1098,1099,1101,1102,1126,1128,1135,1137,1139,1142,1143,1147,1150,1155,
1156,1159,1160,1162,1166,1169,1172,1175,1176,1204,1207,1210,1212,1609,1610,
1613,1614,1616,1621,1624,1630,1632,1634,1636,1670,1671,1673,1675,1678,1680,
1682,1684,1692,1694,1696,1698,1711,1717,2131,2133,2136,2155,2157,2159,2161,
2474],[1,3,5,6,7,8,21,23,24,26,27,28,29,30,32,33,34,35,43,44,45,46,48,50,51,
53,54,55,56,57,58,59,123,124,125,126,128,136,137,138,140,141,142,143,144,146,
147,148,156,158,160,161,162,164,165,167,168,169,171,173,175,176,179,181,182,
183,184,185,186,187,191,192,194,195,196,216,217,218,219,220,221,223,225,226,
227,228,229,230,231,232,233,234,239,240,241,242,243,244,245,246,247,248,250,
252,253,438,439,440,442,444,445,448,449,451,453,455,456,459,482,483,484,486,
489,490,491,492,494,495,496,499,500,502,505,506,507,510,511,512,536,538,544,
546,549,551,552,553,554,555,556,557,558,559,560,565,567,570,571,576,577,578,
579,580,581,582,583,584,587,593,594,595,596,598,599,600,601,602,628,632,633,
634,635,636,637,640,642,650,651,652,653,654,655,656,657,660,662,663,664,666,
667,668,669,998,999,1001,1002,1004,1007,1011,1012,1014,1017,1019,1021,1023,
1027,1064,1066,1067,1069,1070,1071,1072,1073,1074,1077,1079,1080,1081,1082,
1083,1090,1092,1094,1097,1098,1099,1102,1126,1128,1135,1137,1138,1139,1140,
1144,1145,1146,1148,1149,1151,1157,1158,1161,1163,1164,1165,1167,1168,1170,
1171,1173,1174,1177,1178,1205,1206,1211,1213,1609,1610,1613,1615,1616,1621,
1624,1630,1633,1635,1637,1670,1671,1672,1674,1676,1677,1679,1681,1683,1685,
1692,1695,1697,1699,1712,1718,2131,2134,2135,2156,2158,2160,2162,2475],[1,3,4,
5,6,7,8,22,23,25,26,28,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,48,49,
50,51,52,53,54,55,56,57,58,59,129,130,131,132,133,134,135,136,138,139,141,149,
150,151,152,154,156,157,158,162,163,164,165,166,167,168,169,175,177,181,183,
184,185,186,187,188,189,190,191,194,196,197,199,200,201,202,204,205,206,207,
208,210,211,212,213,214,215,217,218,219,220,221,223,224,225,226,228,229,230,
231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,
250,251,252,253,460,461,462,463,465,467,468,469,470,471,472,474,475,477,479,
480,482,484,485,487,489,494,496,513,515,517,518,520,522,523,527,528,529,530,
531,536,537,538,539,540,543,544,553,555,557,558,559,560,561,562,563,564,565,
567,577,579,580,581,582,584,585,591,593,595,596,597,598,599,600,601,602,603,
604,606,607,608,609,610,612,613,614,615,616,617,618,619,620,621,622,623,624,
625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,642,643,644,
645,646,648,649,650,652,653,654,655,656,657,658,659,660,661,662,663,664,665,
666,667,668,669,1028,1030,1031,1033,1034,1036,1037,1040,1043,1045,1047,1049,
1050,1051,1053,1054,1055,1056,1057,1058,1059,1064,1065,1070,1072,1076,1079,
1080,1083,1084,1103,1105,1107,1109,1111,1112,1113,1114,1115,1116,1118,1119,
1120,1126,1128,1129,1130,1132,1133,1135,1142,1144,1146,1147,1148,1149,1150,
1151,1159,1161,1164,1166,1169,1170,1171,1173,1174,1179,1180,1181,1182,1183,
1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1198,1199,
1200,1201,1202,1203,1204,1205,1206,1207,1210,1211,1212,1213,1214,1215,1216,
1217,1218,1219,1220,1221,1638,1640,1642,1643,1646,1647,1648,1650,1654,1656,
1659,1660,1661,1663,1665,1666,1670,1673,1676,1677,1680,1700,1702,1703,1704,
1705,1707,1708,1711,1712,1713,1715,1716,1717,1718,1726,1727,1728,1729,1730,
1731,1732,1733,2139,2141,2143,2145,2146,2147,2150,2155,2158,2165,2166,2476],[
1,3,4,5,6,7,8,22,23,25,26,28,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,
48,49,50,51,52,53,54,55,56,57,58,59,129,130,131,132,133,134,135,136,138,139,
141,149,150,151,152,154,156,157,158,162,163,164,165,166,167,168,169,175,177,
181,182,183,184,185,186,187,188,189,190,191,192,194,195,196,197,199,200,201,
202,204,205,206,207,208,210,211,212,213,214,215,217,218,219,220,221,223,224,
225,226,227,228,229,230,231,232,233,234,235,237,240,246,247,460,461,462,463,
465,467,468,469,470,471,472,474,475,477,479,480,482,484,485,487,489,494,495,
496,513,515,517,518,520,522,523,527,528,529,530,531,536,537,538,539,540,543,
544,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,577,578,579,
580,581,582,583,584,585,586,592,594,604,606,607,608,609,610,612,613,622,623,
624,625,626,627,628,630,633,636,642,643,644,645,647,651,1028,1030,1031,1033,
1034,1036,1037,1040,1043,1045,1047,1049,1050,1051,1053,1058,1059,1064,1065,
1070,1071,1072,1073,1077,1078,1081,1082,1103,1105,1107,1109,1111,1116,1117,
1118,1119,1120,1126,1128,1129,1130,1131,1132,1133,1135,1143,1145,1160,1162,
1163,1165,1167,1168,1172,1179,1180,1185,1186,1192,1197,1638,1640,1642,1644,
1645,1648,1650,1654,1656,1662,1664,1666,1667,1670,1674,1675,1678,1679,1681,
1700,1702,1706,1714,2139,2142,2144,2148,2149,2156,2157,2477],[1,3,4,5,6,7,8,
22,23,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,50,51,
52,53,54,55,56,57,58,59,129,130,131,132,133,134,135,136,137,138,139,141,142,
149,150,151,152,155,159,160,161,162,163,164,165,166,167,168,169,170,171,173,
174,175,178,179,180,181,183,184,185,186,187,188,189,190,191,193,194,195,198,
199,200,202,203,205,207,208,209,211,212,214,215,216,218,219,220,221,222,225,
226,227,228,229,231,232,233,234,235,236,237,238,239,240,241,242,244,245,246,
247,248,249,250,460,461,462,464,466,467,468,469,470,471,472,474,475,477,479,
481,483,484,485,488,490,491,493,494,496,514,516,517,519,521,522,523,526,532,
533,534,535,547,548,549,550,551,552,553,556,557,559,561,562,563,564,565,566,
568,570,571,572,573,575,577,579,581,583,587,588,589,591,593,594,595,597,598,
599,600,605,607,610,611,614,615,616,617,624,626,629,630,631,633,634,637,639,
641,646,647,648,649,650,651,653,654,656,658,659,660,661,1029,1030,1032,1033,
1034,1038,1039,1042,1043,1045,1046,1048,1050,1051,1053,1054,1055,1061,1062,
1067,1068,1070,1073,1074,1075,1076,1079,1080,1081,1104,1106,1107,1108,1110,
1112,1113,1121,1123,1125,1136,1137,1139,1141,1142,1145,1147,1148,1152,1153,
1155,1157,1158,1159,1162,1163,1165,1169,1170,1172,1175,1177,1178,1181,1183,
1187,1188,1196,1197,1208,1209,1639,1640,1641,1643,1646,1651,1653,1657,1659,
1662,1664,1665,1668,1671,1673,1676,1678,1679,1682,1685,1701,1703,1709,1719,
1721,1723,1725,2140,2141,2144,2151,2154,2159,2162,2478],[1,3,4,5,6,7,8,22,23,
25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,50,51,52,53,
54,55,56,57,58,59,129,130,131,132,133,134,135,136,137,138,139,141,142,149,150,
151,152,155,159,160,161,162,163,164,165,166,167,168,169,170,171,173,174,175,
178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,198,
199,200,202,203,205,207,208,209,211,212,214,215,216,218,219,220,221,222,225,
226,227,228,229,230,231,232,233,234,235,237,239,240,241,242,243,244,245,246,
247,250,251,252,253,460,461,462,464,466,467,468,469,470,471,472,474,475,477,
479,481,483,484,485,488,490,491,493,494,495,496,514,516,517,519,521,522,523,
526,532,533,534,535,547,548,549,550,551,552,553,554,555,556,557,558,559,560,
561,562,563,564,565,566,567,568,570,571,572,573,575,577,578,579,580,581,582,
583,584,587,588,589,592,593,594,595,596,599,600,601,602,603,605,607,610,611,
618,619,620,621,624,627,630,632,633,634,635,636,638,640,641,647,649,650,651,
652,653,654,655,656,657,662,663,664,665,666,667,668,669,1029,1030,1032,1033,
1034,1038,1039,1042,1043,1045,1046,1048,1050,1051,1053,1056,1057,1061,1062,
1067,1068,1070,1071,1072,1073,1074,1075,1077,1078,1080,1081,1082,1083,1084,
1104,1106,1107,1108,1110,1114,1115,1121,1123,1125,1136,1137,1138,1139,1140,
1141,1143,1144,1146,1149,1150,1151,1152,1153,1156,1157,1158,1160,1161,1164,
1166,1167,1168,1171,1173,1174,1176,1177,1178,1182,1184,1189,1190,1197,1199,
1209,1639,1640,1641,1644,1645,1647,1651,1653,1657,1660,1661,1663,1668,1671,
1672,1674,1675,1677,1680,1681,1684,1685,1686,1701,1704,1710,1720,1722,1724,
2140,2142,2143,2152,2153,2160,2161,2479],[1,2,3,4,5,6,9,13,14,15,16,17,18,23,
26,28,36,41,42,43,44,49,61,62,63,64,65,66,67,68,69,81,83,84,85,92,94,96,104,
114,115,116,136,154,157,160,161,197,198,255,264,265,266,267,268,269,270,271,
274,275,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,333,
339,340,343,346,349,372,383,385,413,414,480,483,670,671,677,679,681,682,683,
685,717,719,721,723,724,725,726,727,728,729,733,736,737,744,745,746,747,752,
753,754,755,756,760,761,762,763,764,765,766,849,852,859,862,925,1222,1223,
1224,1225,1226,1229,1230,1231,1232,1233,1243,1244,1245,1249,1253,1259,1260,
1261,1263,1265,1266,1268,1270,1321,1323,1325,1330,1331,1332,1333,1346,1352,
1353,1358,1359,1734,1735,1736,1737,1738,1739,1740,1743,1750,1754,1755,1756,
1757,1758,1769,1771,1772,1773,1774,1782,1783,1788,1789,1800,1802,1804,1879,
2167,2168,2169,2172,2174,2183,2186,2188,2189,2197,2199,2480],[1,2,3,4,5,6,7,8,
9,13,14,15,16,17,18,19,20,23,24,25,26,28,29,32,33,35,36,37,38,40,45,51,61,62,
63,64,65,66,67,68,69,77,81,82,83,84,85,86,87,88,89,92,93,94,96,97,99,101,104,
108,109,112,113,117,122,136,139,140,142,143,147,149,151,164,165,176,200,255,
264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,
283,288,289,292,327,328,329,330,331,333,334,335,336,337,338,343,344,345,350,
351,372,375,377,378,381,388,394,418,419,485,486,670,671,677,679,680,681,682,
683,684,685,686,717,719,721,723,724,727,734,736,738,740,741,742,743,746,754,
843,846,851,856,928,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,
1233,1243,1244,1245,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,
1258,1263,1264,1269,1323,1348,1734,1735,1736,1739,1741,1743,1744,1745,1746,
1747,1748,1749,1750,1751,1752,1753,1756,1772,1775,1776,1777,1778,1779,1780,
1781,1786,1787,1792,1796,2168,2170,2171,2175,2176,2180,2181,2182,2185,2200,
2201,2481],[1,2,3,4,5,6,8,9,13,14,15,16,17,18,23,26,28,29,35,36,44,46,53,54,
61,62,63,64,65,66,67,68,69,81,83,84,85,88,89,92,94,96,104,118,121,136,142,158,
159,168,169,178,202,255,264,265,266,267,268,269,270,271,274,275,278,279,280,
281,282,283,288,289,292,333,335,341,342,343,347,348,352,372,386,390,422,423,
488,489,670,671,677,679,681,682,683,685,686,717,719,721,723,724,727,735,736,
739,746,754,850,853,865,868,930,1222,1223,1224,1225,1226,1229,1230,1231,1232,
1233,1243,1244,1245,1249,1250,1253,1254,1262,1263,1267,1271,1272,1323,1350,
1734,1735,1736,1739,1742,1743,1750,1756,1759,1772,1777,1784,1785,1790,1791,
1793,1805,2168,2177,2178,2184,2187,2202,2203,2482],[1,2,3,4,5,6,7,8,9,13,15,
16,18,19,20,25,26,32,35,36,37,38,40,41,42,43,44,45,46,51,53,61,62,64,65,66,68,
77,81,82,83,84,85,86,87,88,89,104,108,112,114,116,117,118,122,149,154,158,161,
164,168,197,198,199,200,202,203,213,215,216,217,255,266,268,270,271,272,273,
274,275,276,277,281,284,285,286,289,291,327,328,329,330,331,333,334,335,336,
337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,413,418,422,
431,433,513,521,530,546,604,605,670,679,680,681,682,683,684,686,725,727,729,
733,734,735,736,737,738,739,740,741,742,743,752,756,761,763,843,844,845,846,
847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,
866,867,868,869,870,985,1223,1225,1226,1227,1228,1248,1249,1251,1254,1255,
1256,1257,1258,1259,1260,1262,1263,1264,1266,1267,1268,1269,1271,1332,1345,
1346,1347,1348,1349,1350,1351,1486,1487,1488,1489,1490,1491,1492,1493,1737,
1739,1740,1741,1742,1744,1746,1748,1780,1782,1784,1786,1789,1790,1794,1795,
1796,1797,1798,1800,1801,1802,1803,1805,1806,1807,1903,2172,2173,2175,2177,
2179,2208,2211,2212,2216,2220,2221,2483],[1,2,3,4,5,6,9,13,15,16,18,24,26,29,
33,36,41,42,43,44,54,61,62,64,65,66,68,81,83,84,85,104,109,113,114,116,143,
154,159,161,165,169,197,198,255,266,268,270,271,274,275,281,284,285,286,289,
291,333,339,340,343,346,349,413,419,423,497,506,531,548,670,679,681,682,683,
725,727,729,733,736,737,752,756,761,763,849,852,859,862,986,1223,1225,1226,
1247,1249,1250,1252,1259,1260,1263,1266,1268,1272,1332,1346,1737,1739,1740,
1745,1747,1778,1782,1785,1787,1789,1791,1800,1802,2172,2176,2178,2204,2207,
2213,2219,2484],[1,2,3,4,5,6,7,8,9,13,15,16,18,19,20,25,26,28,29,32,35,36,37,
38,40,42,43,45,49,51,54,61,62,64,65,66,68,69,77,81,82,83,84,85,86,87,88,89,
104,108,112,115,117,122,149,157,159,160,164,169,176,178,198,200,206,255,266,
268,270,271,272,273,274,275,276,277,281,283,285,286,287,289,290,293,327,328,
329,330,331,333,334,335,336,337,338,343,344,345,350,351,414,418,423,516,518,
542,551,670,679,680,681,682,683,684,685,686,726,727,728,734,736,738,740,741,
742,743,753,755,763,766,843,846,851,856,988,1223,1225,1226,1227,1228,1248,
1249,1250,1251,1253,1254,1255,1256,1257,1258,1261,1263,1264,1265,1269,1270,
1272,1333,1348,1738,1739,1741,1744,1746,1748,1780,1783,1785,1786,1788,1791,
1792,1793,1796,1799,1804,2174,2175,2178,2209,2210,2214,2218,2485],[1,2,3,4,5,
6,8,9,13,15,16,18,24,26,28,29,33,35,36,42,43,44,46,49,53,61,62,64,65,66,68,69,
81,83,84,85,88,89,104,109,113,115,118,143,147,157,158,160,165,168,178,198,202,
255,266,268,270,271,274,275,281,283,285,286,287,289,290,293,333,335,341,342,
343,347,348,352,414,419,422,500,503,543,552,670,679,681,682,683,685,686,726,
727,728,735,736,739,753,755,763,766,850,853,865,868,989,1223,1225,1226,1247,
1249,1250,1252,1253,1254,1261,1262,1263,1265,1267,1270,1271,1333,1350,1738,
1739,1742,1745,1747,1778,1779,1783,1784,1787,1788,1790,1793,1804,1805,2174,
2176,2177,2205,2206,2215,2217,2486],[1,2,3,4,5,6,9,13,14,16,17,24,25,26,29,36,
37,41,42,43,44,61,63,64,65,66,77,81,82,83,84,93,94,97,114,115,143,149,154,158,
159,160,197,199,255,265,266,267,278,281,284,285,286,287,327,328,329,333,336,
339,340,341,342,378,383,386,497,500,513,516,671,679,680,681,682,723,725,726,
744,745,752,753,843,844,845,849,850,854,855,935,1229,1230,1231,1247,1248,1249,
1250,1255,1256,1259,1260,1261,1262,1330,1486,1749,1750,1751,1754,1755,1778,
1780,1782,1783,1784,1785,1794,1795,2182,2183,2184,2204,2205,2208,2209,2487],[
1,2,3,4,5,6,8,9,13,14,16,17,24,25,26,28,29,35,36,37,42,43,44,46,49,53,54,61,
63,64,65,66,69,77,81,82,83,84,88,89,93,94,97,115,116,121,143,147,149,157,161,
168,169,178,202,203,206,255,265,266,267,278,281,283,285,286,290,291,293,327,
328,329,333,335,336,346,347,348,349,352,378,385,390,503,506,518,521,671,679,
680,681,682,685,686,723,728,729,745,747,755,756,843,847,848,852,853,857,858,
938,1229,1230,1231,1247,1248,1249,1250,1253,1254,1255,1256,1265,1266,1267,
1268,1270,1271,1272,1331,1487,1749,1750,1751,1757,1758,1759,1778,1779,1780,
1788,1789,1790,1791,1793,1797,1798,1799,2182,2186,2187,2206,2207,2210,2211,
2488],[1,2,3,5,6,7,8,9,13,14,16,17,26,32,33,35,41,42,43,45,46,51,53,54,61,63,
64,65,66,81,83,84,86,87,88,89,94,99,101,114,115,121,154,160,164,165,168,169,
213,215,255,265,266,267,278,281,284,285,286,287,333,334,335,339,340,344,345,
347,348,350,351,352,383,388,390,530,531,551,552,671,679,681,682,684,686,723,
725,726,744,745,752,753,849,851,853,860,861,863,864,946,1229,1230,1231,1249,
1251,1252,1254,1259,1260,1261,1264,1267,1269,1271,1272,1330,1490,1750,1752,
1753,1754,1755,1759,1782,1783,1786,1787,1790,1791,1801,1803,2183,2185,2187,
2212,2213,2214,2215,2489],[1,2,3,5,6,7,8,9,13,14,16,17,26,28,29,32,33,35,42,
43,44,45,49,51,61,63,64,65,66,69,81,83,84,86,87,88,89,94,99,101,115,116,157,
158,159,161,164,165,176,178,216,217,255,265,266,267,278,281,283,285,286,290,
291,293,333,334,335,341,342,344,345,346,349,350,351,385,386,388,542,543,546,
548,671,679,681,682,684,685,686,723,728,729,745,747,755,756,850,851,852,866,
867,869,870,950,1229,1230,1231,1249,1250,1251,1252,1253,1254,1262,1264,1265,
1266,1268,1269,1270,1331,1491,1750,1752,1753,1757,1758,1784,1785,1786,1787,
1788,1789,1792,1793,1806,1807,2184,2185,2186,2216,2217,2218,2219,2490],[1,2,3,
4,5,6,9,13,15,16,18,21,25,26,27,36,37,41,42,43,44,47,61,63,65,67,68,69,83,102,
104,105,114,116,124,149,154,155,158,161,197,198,199,255,266,278,279,280,284,
286,287,288,289,290,291,294,295,296,300,301,303,306,339,405,413,415,441,444,
513,514,671,681,725,731,744,746,747,748,749,760,761,765,766,767,768,770,771,
775,783,796,973,1230,1259,1261,1275,1335,1352,1354,1356,1364,1365,1376,1377,
1386,1389,1419,1754,1760,1814,1891,1904,2190,2228,2230,2491],[1,2,3,4,5,6,9,
13,14,15,16,17,18,21,22,23,24,25,26,27,28,29,36,37,61,63,64,65,66,67,68,69,81,
83,84,91,92,93,94,95,96,97,102,103,104,105,106,123,124,125,129,130,131,136,
137,143,144,149,255,264,265,266,267,268,269,270,278,279,280,281,282,283,288,
289,292,294,295,296,297,298,299,300,303,306,333,367,368,369,372,373,378,379,
405,409,438,460,671,679,681,682,715,717,718,719,720,721,722,723,724,727,731,
746,748,749,750,751,754,757,758,759,767,768,769,774,776,777,778,781,782,783,
784,796,797,798,913,1229,1230,1231,1249,1275,1311,1312,1313,1323,1324,1327,
1328,1334,1335,1336,1354,1355,1360,1361,1380,1383,1422,1750,1760,1814,1815,
1816,1817,1865,1889,2190,2191,2192,2231,2232,2492],[1,2,3,4,5,6,9,13,15,16,18,
21,25,26,27,28,29,36,37,42,43,48,49,61,63,65,66,67,68,69,83,84,102,104,105,
115,124,125,149,156,157,159,160,170,198,204,255,266,278,279,280,285,286,287,
288,289,292,293,294,295,296,297,300,302,303,306,340,405,414,416,442,443,515,
516,671,681,682,726,731,745,746,748,749,762,763,764,767,768,772,773,776,779,
780,783,784,796,798,974,1230,1260,1261,1275,1335,1353,1354,1357,1368,1369,
1372,1373,1387,1388,1423,1755,1760,1814,1817,1892,1906,2190,2233,2234,2493],[
1,2,3,4,5,6,9,10,11,14,15,16,17,18,23,26,28,36,41,42,43,44,49,61,63,64,65,66,
67,68,69,70,71,72,73,75,76,92,94,96,104,114,115,116,136,154,157,160,161,197,
198,254,264,265,266,267,268,269,270,278,279,280,281,282,283,284,285,286,287,
288,289,290,291,292,293,309,311,312,321,353,354,372,383,385,413,414,480,483,
672,673,674,675,676,717,719,721,723,724,725,726,727,728,729,744,745,746,747,
752,753,754,755,756,760,761,762,763,764,765,766,800,834,835,871,872,874,875,
925,1234,1235,1236,1237,1238,1273,1321,1323,1325,1330,1331,1332,1333,1352,
1353,1358,1359,1469,1472,1474,1480,1761,1768,1808,1809,1810,1811,1879,2008,
2194,2195,2196,2222,2223,2494],[1,3,5,6,9,10,11,21,23,24,26,27,28,29,41,42,47,
49,64,65,66,67,69,70,71,123,124,125,136,137,143,144,154,155,157,159,170,254,
281,282,283,284,285,288,290,292,293,294,296,297,298,301,304,307,311,313,353,
354,438,441,443,480,481,497,498,673,675,752,754,755,757,759,760,762,767,769,
770,772,776,778,779,789,834,835,997,1236,1239,1241,1273,1358,1360,1362,1364,
1366,1368,1370,1417,1420,1469,1471,1764,1768,1810,1908,1957,2195,2224,2226,
2495],[1,3,4,5,6,9,10,11,22,23,25,26,28,36,37,41,42,44,48,49,64,65,66,67,68,
69,70,71,73,76,129,130,131,136,149,154,156,157,158,197,199,204,254,281,282,
283,284,285,288,289,290,291,292,293,295,299,300,302,310,311,314,322,353,354,
460,463,465,480,482,513,515,673,675,676,752,754,755,758,760,761,762,768,771,
773,774,775,777,780,804,834,835,872,875,1028,1236,1240,1242,1273,1358,1361,
1363,1365,1367,1369,1371,1469,1473,1475,1481,1765,1768,1810,1811,1909,2009,
2195,2225,2227,2496],[1,3,5,6,7,8,9,13,23,24,26,28,29,32,35,41,42,45,46,49,51,
53,64,65,66,67,69,81,83,84,86,87,88,89,136,140,142,143,147,154,157,159,164,
168,176,178,213,215,255,281,282,283,284,285,288,290,292,293,333,334,335,339,
340,344,345,347,348,350,351,352,480,486,488,497,503,530,542,677,679,681,682,
684,685,686,752,754,755,760,762,849,851,853,860,861,863,864,1060,1243,1244,
1245,1247,1249,1250,1251,1253,1254,1259,1260,1264,1265,1267,1269,1270,1271,
1358,1490,1769,1772,1773,1775,1777,1778,1779,1782,1785,1786,1788,1790,1792,
1793,1801,1803,2197,2200,2203,2204,2206,2212,2218,2497],[1,3,4,5,6,9,13,23,25,
26,28,33,36,37,41,42,44,49,54,64,65,66,67,69,77,81,82,83,84,136,139,149,151,
154,157,158,165,169,197,199,206,255,281,282,283,284,285,288,290,292,293,327,
328,329,333,336,339,340,341,342,480,485,489,513,518,531,543,677,679,680,681,
682,685,752,754,755,760,762,843,844,845,849,850,854,855,1059,1243,1244,1245,
1248,1249,1252,1253,1255,1256,1259,1260,1262,1265,1270,1272,1358,1486,1769,
1772,1773,1776,1780,1781,1782,1784,1787,1788,1791,1794,1795,1799,2197,2201,
2202,2208,2210,2213,2217,2498],[1,3,5,6,7,8,9,13,23,24,26,28,29,32,35,43,44,
45,51,54,64,65,66,67,69,81,83,84,86,87,88,89,136,140,142,143,147,158,160,161,
164,169,176,216,217,255,281,282,283,286,287,288,291,292,333,334,335,341,342,
344,345,346,349,350,351,483,486,489,500,506,546,551,677,679,681,682,684,685,
686,753,754,756,764,765,850,851,852,866,867,869,870,1069,1243,1244,1245,1247,
1249,1250,1251,1253,1254,1261,1262,1264,1266,1268,1269,1272,1359,1491,1771,
1772,1774,1775,1777,1778,1779,1783,1784,1786,1789,1791,1792,1806,1807,2199,
2200,2202,2205,2207,2214,2216,2499],[1,3,4,5,6,8,9,13,23,25,26,28,29,33,35,36,
37,43,44,46,53,64,65,66,67,69,77,81,82,83,84,88,89,136,139,142,149,151,159,
160,161,165,168,178,202,203,255,281,282,283,286,287,288,291,292,327,328,329,
333,335,336,346,347,348,349,352,483,485,488,516,521,548,552,677,679,680,681,
682,685,686,753,754,756,764,765,843,847,848,852,853,857,858,1068,1243,1244,
1245,1248,1249,1250,1252,1253,1254,1255,1256,1261,1266,1267,1268,1271,1359,
1487,1771,1772,1774,1776,1777,1780,1781,1783,1785,1787,1789,1790,1793,1797,
1798,2199,2201,2203,2209,2211,2215,2219,2500],[1,2,3,4,5,6,9,10,11,15,16,18,
21,25,26,27,36,37,41,42,43,44,47,63,65,67,68,69,70,71,72,73,75,76,102,104,105,
114,116,124,149,154,155,158,161,197,198,199,254,278,279,280,284,287,288,289,
290,291,294,295,296,300,301,304,307,312,314,321,322,353,354,405,413,415,441,
444,513,514,672,675,676,744,746,747,748,749,760,761,765,766,767,768,770,771,
775,790,799,834,835,871,872,874,875,973,1235,1239,1240,1273,1352,1354,1356,
1364,1365,1376,1377,1417,1420,1474,1475,1480,1481,1762,1808,1810,1811,1904,
1959,1966,2222,2224,2225,2501],[1,2,3,4,5,6,9,10,11,15,16,18,22,24,26,29,36,
41,42,43,44,48,63,65,67,68,69,70,71,72,73,75,76,103,104,106,114,116,130,143,
154,156,159,161,197,198,254,278,279,280,284,287,288,289,290,291,297,298,299,
302,310,312,313,321,353,354,409,413,416,463,466,497,499,672,675,676,744,746,
747,750,751,760,761,765,766,769,772,773,774,805,834,835,871,872,874,875,979,
1235,1241,1242,1273,1352,1355,1357,1366,1367,1378,1379,1471,1473,1474,1480,
1763,1808,1810,1811,1905,2021,2222,2226,2227,2502],[1,2,3,5,6,9,10,11,14,16,
17,21,22,26,27,41,42,43,47,48,61,65,67,69,70,71,72,91,94,95,114,115,119,124,
130,154,155,156,160,254,264,266,269,284,286,288,290,294,296,299,301,302,304,
307,309,310,353,354,368,383,384,441,442,463,464,674,675,715,717,718,725,728,
730,760,764,767,770,773,774,788,834,835,871,916,1238,1239,1242,1273,1311,1321,
1322,1364,1367,1372,1375,1417,1420,1472,1473,1766,1809,1810,1864,1958,2223,
2224,2227,2503],[1,2,3,4,5,6,9,10,11,14,16,17,24,25,26,29,36,37,41,42,43,44,
61,65,67,68,69,70,71,72,73,76,93,94,97,114,115,143,149,154,158,159,160,197,
199,254,264,266,269,284,286,288,289,290,291,295,297,298,300,309,313,314,322,
353,354,378,383,386,497,500,513,516,674,675,676,717,720,722,725,728,760,761,
764,768,769,771,772,775,801,834,835,871,872,875,935,1238,1240,1241,1273,1321,
1324,1326,1365,1366,1373,1374,1471,1472,1475,1481,1767,1809,1810,1811,1880,
2020,2223,2225,2226,2504],[1,3,5,6,9,13,21,23,24,26,27,28,29,41,42,47,49,64,
65,66,67,69,81,83,84,123,124,125,136,137,143,144,154,155,157,159,170,255,281,
282,283,284,285,288,290,292,293,294,296,297,298,301,303,306,333,339,340,438,
441,443,480,481,497,498,679,681,682,752,754,755,757,759,760,762,767,769,770,
772,776,778,779,782,783,784,796,797,798,849,997,1249,1259,1260,1275,1358,1360,
1362,1364,1366,1368,1370,1383,1386,1388,1419,1422,1423,1782,1814,1815,1817,
1908,1920,1965,2228,2231,2233,2505],[1,2,3,5,6,9,13,14,16,17,21,22,26,27,41,
42,43,47,48,61,63,65,67,69,83,91,94,95,114,115,119,124,130,154,155,156,160,
255,264,266,269,278,284,286,287,288,290,294,296,299,301,302,303,306,339,368,
383,384,441,442,463,464,671,681,715,717,718,725,728,730,744,760,764,767,770,
773,774,781,783,796,916,1230,1259,1261,1275,1311,1321,1322,1364,1367,1372,
1375,1380,1386,1387,1419,1754,1814,1816,1864,1912,2228,2232,2234,2506],[1,2,3,
5,6,9,11,12,14,16,17,21,22,26,27,41,42,43,47,48,61,65,67,69,75,91,94,95,114,
115,119,124,130,154,155,156,160,256,264,266,269,284,286,288,290,294,296,299,
301,302,305,308,354,355,356,357,368,383,384,441,442,463,464,687,715,717,718,
725,728,730,760,764,767,770,773,774,793,874,880,916,1274,1276,1277,1311,1321,
1322,1364,1367,1372,1375,1418,1421,1812,1818,1819,1864,1962,2229,2507],[1,3,5,
6,9,13,21,23,24,26,27,28,29,43,44,48,64,65,66,67,69,81,83,84,123,124,125,136,
137,143,144,156,158,160,161,255,281,282,283,286,287,288,291,292,294,296,297,
298,302,303,306,333,438,442,444,482,483,499,500,679,681,682,753,754,756,757,
759,764,765,767,769,771,773,776,778,782,783,784,796,797,798,998,1249,1261,
1275,1359,1360,1363,1372,1374,1376,1378,1383,1387,1389,1422,1783,1814,1815,
1817,1910,1921,2230,2231,2234,2508],[1,2,3,5,6,9,13,14,16,17,21,22,26,27,28,
29,42,43,44,49,61,63,65,66,67,69,83,84,91,94,95,115,116,124,125,130,157,158,
159,161,170,255,264,266,269,278,285,286,287,288,291,292,293,294,296,297,299,
303,306,340,368,385,386,443,444,465,466,671,681,682,715,717,718,726,729,745,
762,765,767,771,772,774,776,779,781,783,784,796,798,917,1230,1260,1261,1275,
1311,1325,1326,1368,1371,1376,1379,1380,1388,1389,1423,1755,1814,1816,1817,
1866,1913,2230,2232,2233,2509],[1,2,3,4,7,9,13,14,15,19,21,22,25,30,31,32,33,
38,55,61,63,67,68,91,98,99,102,108,126,127,132,133,150,181,182,188,255,264,
279,294,295,299,303,306,359,370,396,397,451,452,454,472,671,715,731,748,781,
785,786,921,1275,1329,1381,1396,1397,1399,1424,1760,1816,1867,1916,2246,
2510],[1,2,3,4,7,9,10,11,14,15,19,21,22,23,24,25,30,31,32,33,38,61,63,64,67,
68,70,71,72,73,74,75,76,91,92,93,98,99,102,103,107,108,109,123,126,127,129,
132,133,138,139,140,145,146,150,254,264,265,268,279,282,303,304,305,309,310,
311,312,313,314,315,316,317,318,321,323,324,367,370,374,375,380,396,398,406,
410,439,461,672,673,674,675,676,719,731,781,782,785,786,788,789,790,791,792,
793,794,795,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,
816,914,1234,1235,1236,1237,1238,1278,1329,1334,1337,1381,1384,1405,1406,1407,
1408,1409,1414,1428,1429,1430,1432,1434,1435,1761,1820,1821,1822,1823,1824,
1885,1949,2235,2236,2237,2238,2239,2511],[1,2,3,4,7,9,10,11,14,15,19,21,22,25,
30,31,32,33,38,55,63,67,68,70,71,72,73,74,75,76,91,98,99,102,108,126,127,132,
133,150,181,182,188,254,279,294,295,303,304,305,307,309,310,312,314,315,316,
317,318,321,322,323,324,325,370,396,397,451,452,454,472,672,675,676,748,781,
785,786,788,790,791,792,793,794,795,799,802,803,806,807,812,816,817,818,821,
921,1235,1239,1240,1278,1381,1396,1397,1406,1409,1410,1411,1413,1414,1415,
1416,1431,1436,1762,1820,1823,1824,1916,1950,1956,2236,2240,2241,2512],[1,2,3,
4,7,9,10,11,14,15,19,21,22,24,30,31,32,33,57,63,67,68,70,71,72,73,74,75,76,91,
98,99,103,109,126,127,132,133,146,182,184,254,279,298,299,303,304,305,309,310,
312,313,315,316,317,318,321,323,326,370,398,402,453,454,473,474,672,675,676,
751,781,785,786,788,791,792,793,794,795,802,803,805,806,807,813,815,818,819,
922,1235,1241,1242,1278,1381,1398,1399,1406,1412,1413,1414,1432,1433,1437,
1438,1763,1820,1823,1824,1917,1951,2236,2242,2243,2513],[1,3,7,9,10,11,21,23,
24,30,32,55,57,64,67,70,71,74,123,126,138,140,146,181,184,186,254,282,294,298,
303,304,305,307,311,313,315,317,325,326,439,451,453,494,510,673,675,757,782,
785,789,791,794,808,811,815,817,819,820,1002,1236,1239,1241,1278,1384,1396,
1398,1407,1410,1412,1415,1439,1442,1764,1821,1823,1925,1952,2237,2240,2242,
2514],[1,3,4,7,9,10,11,21,22,23,24,25,30,31,32,33,38,64,67,68,70,71,73,74,76,
123,126,127,129,132,138,139,140,146,150,182,188,254,282,295,299,303,304,305,
310,311,313,314,315,316,317,318,322,324,439,452,454,461,473,495,509,673,675,
676,758,782,785,786,789,791,792,794,795,804,806,808,810,811,815,816,818,821,
1003,1236,1240,1242,1278,1384,1397,1399,1407,1411,1413,1416,1434,1437,1440,
1441,1765,1821,1823,1824,1926,1953,2237,2241,2243,2515],[1,2,3,4,7,9,10,11,14,
15,19,21,22,25,30,31,32,33,38,55,61,67,70,71,72,73,74,91,98,99,102,108,126,
127,132,133,150,181,182,188,254,264,294,299,303,304,305,307,309,310,312,314,
315,316,317,318,323,324,325,370,396,397,451,452,454,472,674,675,715,731,785,
788,790,791,792,794,802,803,806,807,812,816,817,818,821,921,1238,1239,1242,
1278,1329,1396,1399,1406,1409,1410,1411,1413,1415,1431,1436,1766,1822,1823,
1867,1950,2239,2240,2243,2516],[1,2,3,4,7,9,10,11,14,15,19,21,24,25,30,31,32,
33,38,57,61,67,68,70,71,72,73,74,76,93,98,102,108,126,127,145,146,150,182,184,
188,207,254,264,295,298,303,304,305,309,312,313,314,315,316,317,318,322,323,
324,326,380,396,402,452,453,509,522,674,675,676,720,731,785,786,790,791,792,
794,795,801,802,812,814,815,816,818,819,821,837,941,1238,1240,1241,1278,1329,
1397,1398,1409,1411,1412,1416,1430,1433,1441,1443,1767,1822,1823,1824,1886,
1954,2239,2241,2242,2517],[1,3,5,6,9,10,11,21,23,24,26,27,28,29,41,42,47,49,
64,65,66,70,123,124,125,136,137,143,144,154,155,157,159,170,254,281,284,285,
303,304,305,311,313,353,354,356,438,441,443,480,481,497,498,673,752,782,783,
784,789,834,997,1273,1278,1383,1386,1388,1417,1418,1469,1471,1768,1821,1920,
1957,2244,2518],[1,2,3,5,6,9,10,11,14,16,17,21,22,26,27,41,42,43,47,48,63,65,
70,72,75,91,94,95,114,115,119,124,130,154,155,156,160,254,278,284,287,303,304,
305,309,310,353,354,356,368,383,384,441,442,463,464,672,744,781,783,788,793,
834,871,874,880,916,1273,1278,1380,1386,1387,1417,1418,1472,1473,1808,1820,
1912,1958,1962,2244,2519],[1,2,3,4,5,6,9,10,11,15,16,18,21,25,26,27,36,37,41,
42,43,44,47,61,65,70,72,73,102,104,105,114,116,124,149,154,155,158,161,197,
198,199,254,266,284,286,303,304,305,312,314,353,354,356,405,413,415,441,444,
513,514,674,725,731,783,790,834,871,872,973,1273,1278,1335,1386,1389,1417,
1418,1474,1475,1809,1822,1891,1959,2244,2520],[1,3,5,6,7,8,9,10,11,21,26,27,
30,32,34,35,41,42,45,46,47,50,51,52,53,65,67,69,70,71,74,124,126,128,154,155,
162,164,166,168,171,173,174,193,213,214,215,222,254,284,288,290,303,304,305,
315,317,353,354,356,441,445,447,528,530,532,534,675,760,783,785,787,791,794,
834,835,836,873,1005,1273,1278,1386,1390,1392,1417,1418,1476,1478,1810,1823,
1928,1960,1963,2244,2521],[1,3,4,5,6,9,10,11,21,26,27,31,33,36,39,41,42,44,47,
54,65,68,70,73,76,124,127,154,155,163,165,167,169,172,197,201,209,254,284,289,
291,303,304,305,316,318,353,354,356,441,446,448,529,531,533,535,676,761,783,
786,792,795,834,872,875,881,1006,1273,1278,1386,1391,1393,1417,1418,1477,1479,
1811,1824,1929,1961,1964,2244,2522],[1,2,3,4,5,6,9,11,12,15,16,18,21,25,26,27,
36,37,41,42,43,44,47,61,65,71,75,76,102,104,105,114,116,124,149,154,155,158,
161,197,198,199,256,266,284,286,303,307,308,321,322,354,355,357,405,413,415,
441,444,513,514,687,725,731,783,799,835,874,875,973,1274,1279,1335,1386,1389,
1420,1421,1480,1481,1812,1825,1891,1966,2245,2523],[1,3,5,6,7,8,9,13,21,26,27,
30,32,34,35,45,50,51,55,56,65,67,69,83,124,126,128,162,164,171,173,181,183,
191,218,225,255,288,294,296,303,306,359,445,451,455,553,570,681,767,783,785,
787,796,879,1012,1275,1390,1396,1400,1424,1814,1935,1967,2246,2524],[1,3,7,9,
13,21,23,24,30,32,55,57,64,67,81,123,126,138,140,146,181,184,186,255,282,294,
298,303,306,359,439,451,453,494,510,679,757,782,785,797,885,1002,1275,1384,
1396,1398,1424,1815,1925,1968,2246,2525],[1,3,6,7,9,13,21,28,29,30,32,50,55,
58,66,67,84,125,126,175,176,179,181,185,231,255,292,294,297,303,306,359,449,
451,456,577,587,682,776,784,785,798,886,1021,1275,1394,1396,1401,1424,1817,
1944,1969,2246,2526],[1,3,7,9,13,21,30,32,55,57,67,86,87,126,181,186,236,237,
238,255,294,303,306,359,451,591,592,684,785,887,888,1026,1275,1396,1424,1970,
1971,2246,2527],[1,3,7,8,9,13,21,30,32,55,56,58,67,88,89,126,181,187,239,240,
241,255,294,303,306,359,451,593,594,686,785,889,890,1027,1275,1396,1424,1972,
1973,2246,2528],[1,2,3,4,7,9,11,12,14,15,19,21,22,25,30,31,32,33,38,55,61,67,
71,75,76,91,98,99,102,108,126,127,132,133,150,181,182,188,256,264,294,299,303,
305,307,308,321,322,360,370,396,397,451,452,454,472,687,715,731,785,793,794,
795,799,921,1276,1279,1329,1396,1399,1414,1415,1416,1425,1818,1825,1867,1956,
2247,2529],[1,2,3,4,6,8,9,11,12,15,17,20,21,25,34,35,39,40,47,48,53,54,59,61,
69,71,75,76,102,110,112,119,121,128,152,193,194,195,196,209,210,211,212,256,
269,301,302,303,307,308,321,322,356,357,361,407,429,430,458,459,526,527,687,
730,731,787,799,836,880,881,978,1277,1279,1338,1403,1404,1426,1427,1482,1483,
1819,1825,1896,1975,2248,2530],[1,3,7,10,12,13,21,23,24,30,32,55,57,70,74,81,
123,126,138,140,146,181,184,186,257,304,306,308,311,313,315,317,325,326,359,
360,439,451,453,494,510,691,789,791,797,808,811,815,817,819,820,885,1002,1280,
1290,1407,1410,1412,1424,1425,1439,1442,1826,1835,1952,1968,2249,2531],[1,3,7,
10,12,13,21,30,32,55,57,70,74,80,86,126,181,186,236,237,238,257,304,306,308,
315,317,325,326,359,360,451,591,592,695,791,817,820,838,839,840,887,891,1026,
1280,1290,1410,1424,1425,1444,1445,1836,1955,1970,1974,2249,2532],[1,3,7,10,
12,13,21,30,32,55,57,70,74,87,126,181,186,236,237,238,257,304,306,308,315,317,
325,326,359,360,451,591,592,694,791,817,820,838,839,840,888,1026,1280,1290,
1410,1424,1425,1444,1445,1837,1955,1971,2249,2533],[1,3,7,11,12,13,21,30,32,
55,57,71,80,87,126,181,186,236,237,238,258,305,306,307,308,359,360,451,591,
592,698,794,888,891,1026,1281,1415,1424,1425,1971,1974,2250,2534],[1,3,5,6,10,
12,13,21,23,24,26,27,28,29,41,42,47,49,70,81,83,84,123,124,125,136,137,143,
144,154,155,157,159,170,257,304,306,308,311,313,333,339,340,353,355,357,438,
441,443,480,481,497,498,691,789,796,797,798,834,849,997,1280,1292,1417,1419,
1421,1422,1423,1469,1471,1826,1839,1957,1965,2251,2535],[1,2,3,4,7,10,12,13,
14,15,19,21,22,23,24,25,30,31,32,33,38,62,70,72,73,74,77,78,79,80,81,82,85,86,
87,91,92,93,98,99,102,103,107,108,109,123,126,127,129,132,133,138,139,140,145,
146,150,257,272,274,276,304,309,310,311,312,313,314,315,316,317,318,319,320,
323,324,327,330,332,334,337,367,370,374,375,380,396,398,406,410,439,461,689,
690,691,692,693,694,695,716,732,740,788,789,790,791,792,800,801,802,803,804,
805,806,807,808,809,810,811,812,813,814,815,816,822,823,824,825,826,829,830,
831,914,1282,1283,1284,1285,1286,1287,1288,1289,1314,1317,1318,1341,1342,1405,
1406,1407,1408,1409,1428,1429,1430,1432,1434,1435,1448,1450,1453,1827,1828,
1829,1830,1831,1832,1833,1834,1869,1949,2253,2254,2255,2256,2257,2258,2259,
2536],[1,3,7,10,12,13,23,30,32,55,57,70,74,80,86,138,181,184,186,236,237,238,
249,257,311,315,317,319,320,325,326,359,360,494,591,597,695,808,817,819,820,
823,829,838,839,840,842,887,891,893,894,895,1076,1282,1290,1439,1444,1446,
1830,1836,1838,1980,2017,2018,2537],[1,3,5,6,10,12,13,21,23,24,26,27,28,29,41,
42,47,49,70,81,83,84,123,124,125,136,137,143,144,154,155,157,159,170,257,304,
311,313,319,320,333,339,340,353,355,358,438,441,443,480,481,497,498,691,789,
825,827,828,834,849,997,1282,1292,1417,1449,1455,1456,1469,1470,1471,1828,
1839,1957,1986,2260,2538],[1,2,3,4,5,6,10,12,13,14,15,16,17,18,23,26,28,36,41,
42,43,44,49,70,72,73,77,83,92,94,96,104,114,115,116,136,154,157,160,161,197,
198,257,309,311,312,319,320,328,339,341,353,355,358,372,383,385,413,414,480,
483,690,716,800,827,834,844,871,872,925,1282,1292,1315,1455,1458,1469,1470,
1472,1474,1827,1840,1871,2008,2260,2539],[1,3,4,5,6,10,12,13,22,23,25,26,28,
36,37,41,42,44,48,49,70,73,78,82,83,129,130,131,136,149,154,156,157,158,197,
199,204,257,310,311,314,319,320,336,339,342,353,355,358,460,463,465,480,482,
513,515,692,804,822,826,827,834,854,872,876,882,1028,1282,1292,1452,1455,1457,
1469,1470,1473,1475,1829,1841,1991,2009,2014,2260,2540],[1,3,5,6,7,8,10,12,13,
23,26,28,30,34,41,42,45,46,49,50,52,70,74,80,83,86,88,136,138,141,154,157,162,
166,175,177,213,214,224,257,311,315,319,320,339,344,347,353,355,358,480,484,
487,528,540,695,808,823,827,829,832,834,860,873,878,884,1058,1282,1292,1455,
1459,1462,1469,1470,1476,1830,1844,1996,2010,2015,2260,2541],[1,2,3,4,5,6,10,
12,13,15,16,18,23,26,28,31,36,39,41,42,43,44,49,62,70,72,73,83,104,107,111,
114,116,136,154,157,161,163,167,197,198,201,257,271,311,312,316,319,320,339,
349,353,355,358,413,417,421,480,490,529,541,689,732,733,809,827,834,871,872,
984,1282,1292,1340,1455,1465,1469,1470,1474,1477,1831,1842,1897,2011,2260,
2542],[1,3,4,5,6,10,12,13,23,25,26,28,33,36,37,41,42,44,49,54,70,73,79,83,85,
136,139,149,151,154,157,158,165,169,197,199,206,257,311,314,318,319,320,339,
343,346,353,355,358,480,485,489,513,518,531,543,693,810,824,827,830,834,859,
872,877,883,1059,1282,1292,1455,1460,1464,1469,1470,1475,1479,1832,1843,1997,
2012,2016,2260,2543],[1,3,5,6,7,8,10,12,13,23,24,26,28,29,32,35,41,42,45,46,
49,51,53,70,74,83,87,89,136,140,142,143,147,154,157,159,164,168,176,178,213,
215,257,311,313,317,319,320,339,345,348,353,355,358,480,486,488,497,503,530,
542,694,811,827,831,833,834,861,873,1060,1282,1292,1455,1461,1463,1469,1470,
1471,1478,1833,1845,1998,2013,2260,2544],[1,2,3,4,5,6,7,8,10,12,13,15,16,18,
19,20,25,26,32,35,36,37,38,40,41,42,43,44,45,46,51,53,62,70,72,73,74,77,78,79,
80,81,82,83,84,85,86,87,88,89,104,108,112,114,116,117,118,122,149,154,158,161,
164,168,197,198,199,200,202,203,213,215,216,217,257,271,272,273,274,275,276,
277,312,314,317,323,324,327,328,329,330,331,332,333,334,335,336,337,338,339,
340,341,342,343,344,345,346,347,348,349,350,351,352,353,355,413,418,422,431,
433,513,521,530,546,604,605,689,690,691,692,693,694,695,733,734,735,736,737,
738,739,740,741,742,743,812,834,843,844,845,846,847,848,849,850,851,852,853,
854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,
873,876,877,878,985,1283,1284,1285,1286,1287,1288,1289,1292,1345,1346,1347,
1348,1349,1350,1351,1474,1475,1478,1486,1487,1488,1489,1490,1491,1492,1493,
1494,1495,1498,1834,1839,1840,1841,1842,1843,1844,1845,1903,2029,2263,2264,
2265,2266,2267,2268,2269,2545],[1,3,5,6,7,8,10,12,13,26,30,34,41,42,45,46,50,
52,55,56,57,58,59,70,74,81,83,84,154,162,166,186,187,213,214,218,219,220,221,
231,232,233,234,257,315,325,326,333,339,340,353,355,359,360,361,528,559,560,
622,623,626,627,691,820,834,849,873,879,885,886,1119,1290,1292,1476,1496,1497,
1499,1500,1501,1502,1835,1839,2034,2042,2271,2546],[1,5,7,8,10,12,13,41,45,46,
55,56,59,74,80,83,86,88,213,218,219,236,239,243,257,325,339,344,347,353,355,
359,360,361,622,629,632,695,838,860,873,878,879,887,889,891,892,1191,1290,
1292,1496,1499,1500,1503,1505,1836,1844,2037,2043,2045,2271,2547],[1,5,7,8,10,
12,13,41,45,46,55,56,57,58,59,74,83,87,89,213,218,219,220,221,238,241,242,244,
245,257,325,326,339,345,348,353,355,359,360,361,622,623,631,634,635,694,840,
861,873,879,888,890,1193,1290,1292,1496,1497,1499,1500,1504,1506,1837,1845,
2039,2044,2271,2548],[1,5,7,8,10,12,13,41,45,46,57,58,74,80,83,86,88,213,220,
221,249,250,252,253,257,326,339,344,347,353,355,623,639,640,695,842,860,873,
878,893,894,895,896,897,1195,1292,1497,1507,1838,1844,2041,2046,2047,2048,
2549],[1,5,7,8,13,45,55,56,83,86,88,90,218,236,239,344,359,362,629,714,879,
887,889,1308,1503,1529,2072,2277,2550],[1,4,7,13,38,55,57,77,85,87,90,207,238,
248,330,359,363,614,714,888,1309,2279,2551],[1,5,7,8,13,45,55,56,57,58,83,87,
89,90,218,220,238,241,242,345,359,362,631,714,879,888,890,1308,1504,2279,
2552],[1,3,5,6,13,21,23,24,26,27,28,29,81,83,84,90,123,124,125,136,137,143,
144,306,320,333,362,438,714,796,797,798,825,827,828,1308,1422,1449,2280,
2553],[1,2,3,4,9,10,11,15,22,24,60,63,67,68,70,71,72,73,75,76,103,254,259,260,
263,279,298,299,310,312,313,321,364,365,366,672,675,676,700,702,704,751,805,
902,904,905,907,908,909,910,911,912,1235,1241,1242,1297,1310,1531,1540,1541,
1543,1544,1545,1546,1763,1861,1862,1863,2077,2086,2281,2282,2283,2554],[1,2,5,
9,10,11,16,41,43,60,63,65,72,75,114,254,259,261,278,284,287,353,354,364,365,
366,672,699,706,709,744,871,874,902,903,907,910,1273,1294,1310,1530,1533,1534,
1547,1548,1808,1861,2073,2089,2091,2284,2555],[1,3,5,6,9,10,11,26,41,42,60,65,
67,69,70,71,154,254,260,261,262,284,288,290,353,354,364,365,366,675,703,706,
707,760,834,835,903,904,906,908,911,1273,1300,1310,1533,1535,1537,1547,1548,
1810,1862,2078,2087,2088,2284,2556],[1,4,5,9,10,11,36,41,44,60,65,68,73,76,
197,254,261,263,284,289,291,353,354,364,365,366,676,706,708,710,761,872,875,
903,905,909,912,1273,1305,1310,1533,1536,1538,1547,1548,1811,1863,2079,2090,
2092,2284,2557],[1,2,3,4,9,13,15,21,25,60,61,63,64,67,68,85,102,255,259,260,
263,268,279,294,295,303,306,364,671,677,683,700,731,748,902,904,905,1232,1275,
1531,1549,1760,2093,2285,2558],[1,2,3,9,13,14,21,22,60,61,62,63,64,67,91,255,
260,264,265,294,299,303,306,364,670,671,677,702,715,781,904,1222,1275,1541,
1549,1816,2094,2285,2559],[1,3,9,13,21,23,24,60,64,67,81,123,255,260,282,294,
298,303,306,364,677,679,704,757,782,797,904,1244,1275,1540,1549,1815,2095,
2285,2560],[1,3,5,6,9,13,21,26,27,60,64,65,66,67,69,83,124,255,260,261,262,
281,288,294,296,303,306,364,677,681,685,703,767,783,796,903,904,906,1243,1275,
1535,1549,1814,2096,2285,2561],[1,3,6,9,13,21,28,29,60,64,66,67,69,84,125,255,
260,283,292,294,297,303,306,364,677,682,685,705,776,784,798,904,1245,1275,
1539,1549,1817,2097,2285,2562],[1,2,3,4,9,10,11,15,21,25,60,61,64,68,70,72,73,
76,102,254,259,260,263,268,303,304,305,312,314,365,673,674,676,700,731,790,
907,908,909,1237,1278,1543,1549,1822,2093,2286,2563],[1,2,3,9,10,11,14,21,22,
60,61,63,64,70,72,75,91,254,260,265,303,304,305,309,310,365,672,673,674,702,
781,788,793,908,1234,1278,1544,1549,1820,2094,2286,2564],[1,3,9,10,11,21,23,
24,60,64,67,70,71,123,254,260,282,303,304,305,311,313,365,673,675,704,782,789,
908,1236,1278,1545,1549,1821,2095,2286,2565],[1,2,3,4,9,11,12,15,21,25,60,61,
64,68,71,75,76,79,102,256,259,260,263,268,303,307,308,321,322,366,678,687,688,
700,731,799,910,911,912,1246,1279,1546,1549,1825,2093,2287,2566],[1,3,4,10,12,
13,22,23,25,60,70,73,77,78,81,82,129,257,260,310,311,314,319,320,327,365,690,
691,692,702,804,822,826,908,1282,1286,1544,1550,1829,2098,2288,2567],[1,2,3,4,
10,12,13,15,23,31,60,62,70,72,73,79,81,85,107,257,259,260,263,274,311,312,316,
319,320,365,689,691,693,700,732,809,907,908,909,1282,1284,1543,1550,1831,2100,
2288,2568],[1,3,7,10,12,13,23,24,32,60,70,74,80,81,86,87,140,257,260,311,313,
317,319,320,334,365,691,694,695,704,811,831,908,1282,1288,1545,1550,1833,2101,
2288,2569],[1,3,9,13,21,23,24,60,64,81,123,255,260,303,320,679,782,825,1247,
1549,1550,2570],[1,2,3,4,5,6,7,8,9,14,15,16,17,18,19,20,21,22,25,26,27,30,31,
32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,59,61,
65,67,69,91,94,95,98,99,100,101,102,104,105,108,110,112,114,115,116,117,118,
119,120,121,122,124,126,127,128,130,132,133,134,135,149,150,152,154,155,156,
158,160,161,162,163,164,165,166,167,168,169,171,172,173,174,181,182,183,188,
189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,205,209,210,211,
212,213,214,215,216,217,218,219,222,223,225,226,227,228,235,264,266,269,284,
286,288,290,294,296,299,301,302,303,368,370,371,383,384,387,388,389,390,391,
392,396,397,399,400,404,405,407,413,415,418,420,422,425,429,430,431,432,433,
434,435,436,441,442,444,445,446,447,448,451,452,454,455,457,458,459,463,464,
467,468,469,470,472,475,476,479,513,514,517,520,521,524,526,527,528,529,530,
531,532,533,534,535,536,537,538,539,544,546,549,550,551,552,553,554,555,556,
561,562,563,564,565,566,567,570,572,574,575,576,604,605,606,611,612,613,622,
624,641,715,717,718,725,728,730,731,760,764,767,770,773,774,783,785,787,916,
918,919,921,923,945,946,947,948,952,953,955,956,960,961,962,973,976,978,985,
991,996,1005,1006,1007,1008,1011,1012,1013,1015,1016,1017,1019,1020,1036,1037,
1038,1039,1043,1046,1047,1050,1103,1104,1108,1109,1116,1117,1120,1121,1122,
1124,1125,1126,1129,1137,1138,1141,1311,1321,1322,1329,1335,1338,1364,1367,
1372,1375,1386,1389,1390,1392,1396,1399,1400,1403,1404,1557,1559,1561,1583,
1584,1587,1588,1617,1618,1620,1621,1622,1631,1648,1651,1864,1867,1883,1884,
1891,1894,1896,1928,1934,1935,1938,1939,1942,2109,2290,2301,2302,2329,2332,
2341,2344,2571],[1,2,3,4,5,6,7,8,9,14,15,16,17,18,19,20,21,22,23,24,25,26,27,
28,29,30,31,32,33,34,35,36,37,38,39,40,45,50,51,55,56,57,58,61,63,64,65,66,67,
68,69,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,
111,112,113,117,120,122,123,124,125,126,127,128,129,130,131,132,133,134,135,
136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,162,
163,164,165,171,172,173,175,176,179,181,182,183,184,185,186,187,188,189,190,
191,192,200,205,207,208,218,220,225,229,231,232,264,265,266,267,268,269,270,
278,279,280,281,282,283,288,289,292,294,295,296,297,298,299,300,303,367,368,
369,370,371,372,373,374,375,376,377,378,379,380,381,382,387,388,391,392,393,
394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,
417,418,419,424,425,426,427,428,438,439,440,445,446,449,451,452,453,454,455,
456,457,460,461,462,467,468,471,472,473,474,475,476,477,478,479,484,485,486,
491,492,494,495,496,501,502,507,509,510,511,512,517,522,523,524,525,553,554,
557,559,561,570,571,574,577,578,579,581,587,607,610,715,717,718,719,720,721,
722,723,724,727,731,746,748,749,750,751,754,757,758,759,767,768,769,774,776,
777,778,781,782,783,784,785,786,787,913,914,915,918,920,921,922,923,924,927,
928,931,932,933,934,937,940,941,942,943,944,952,953,954,959,961,962,963,964,
965,966,969,970,971,972,975,981,999,1002,1003,1004,1012,1013,1014,1015,1021,
1022,1023,1030,1033,1034,1035,1043,1044,1045,1051,1052,1053,1070,1071,1074,
1093,1094,1099,1107,1311,1312,1313,1323,1324,1327,1328,1329,1334,1335,1336,
1337,1338,1339,1354,1355,1360,1361,1380,1381,1382,1383,1384,1385,1390,1391,
1394,1396,1397,1398,1399,1400,1401,1402,1553,1555,1556,1559,1560,1563,1564,
1569,1571,1578,1579,1582,1610,1611,1640,1865,1867,1883,1884,1885,1886,1887,
1888,1889,1890,1893,1914,1916,1917,1918,1919,1922,1925,1926,1927,1935,1936,
1937,1938,1944,1945,1946,2105,2290,2291,2292,2303,2304,2307,2308,2319,2320,
2325,2326,2572],[1,2,3,4,5,6,7,8,9,14,15,16,17,18,19,20,21,22,25,26,27,28,29,
30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,48,49,50,51,52,54,55,56,58,61,65,
66,67,69,91,94,95,98,99,100,101,102,104,105,108,110,112,115,116,117,120,122,
124,125,126,127,128,130,132,133,134,135,149,150,152,156,157,158,159,160,161,
162,163,164,165,167,169,170,171,172,173,175,176,177,178,179,180,181,182,183,
185,188,189,190,191,192,195,196,198,200,201,204,205,206,214,216,217,218,221,
223,224,225,227,230,231,233,234,264,266,269,285,287,288,291,292,293,294,296,
297,299,303,368,370,371,385,386,387,388,391,392,396,397,399,400,404,405,407,
414,416,418,421,423,425,432,437,442,443,444,445,446,448,449,450,451,452,454,
455,456,457,459,465,466,467,468,472,475,476,479,515,516,517,518,519,524,536,
538,540,541,542,543,544,545,546,547,548,549,551,553,554,556,558,561,565,568,
569,570,573,574,576,577,580,585,586,587,588,589,590,608,609,626,643,715,717,
718,726,729,731,762,765,767,771,772,774,776,779,783,784,785,787,917,918,921,
923,949,950,951,952,953,957,958,961,962,974,977,988,994,1007,1009,1010,1011,
1012,1013,1015,1017,1018,1019,1021,1024,1025,1040,1041,1042,1043,1048,1049,
1105,1106,1110,1111,1126,1127,1130,1131,1134,1136,1137,1140,1152,1154,1311,
1325,1326,1329,1335,1338,1368,1371,1376,1379,1387,1388,1390,1393,1394,1395,
1396,1399,1400,1401,1558,1559,1562,1591,1592,1595,1596,1621,1623,1625,1626,
1628,1629,1654,1657,1866,1867,1883,1884,1892,1895,1930,1932,1935,1938,1940,
1941,1944,1947,2111,2290,2305,2306,2333,2336,2337,2340,2573],[1,2,3,4,5,6,7,8,
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,
39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,62,77,81,82,83,84,85,86,87,88,
89,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,
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,
169,170,171,172,173,174,175,176,177,178,179,180,189,193,196,197,198,199,200,
201,202,203,204,205,206,209,210,213,214,215,216,217,222,223,224,271,272,273,
274,275,276,277,320,327,328,329,330,331,333,334,335,336,337,338,339,340,341,
342,343,344,345,346,347,348,349,350,351,352,367,368,369,370,371,372,373,374,
375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,
394,395,396,398,399,401,405,406,407,408,409,410,411,412,413,414,415,416,417,
418,419,420,421,422,423,424,425,426,427,428,429,431,432,433,434,438,439,440,
441,442,443,444,445,446,447,448,449,450,460,461,462,463,464,465,466,467,468,
469,470,471,480,481,482,483,484,485,486,487,488,489,490,491,492,493,497,498,
499,500,501,502,503,504,505,506,507,508,513,514,515,516,517,518,519,520,521,
528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,
547,548,549,550,551,552,562,568,569,585,604,605,606,609,716,732,733,734,735,
736,737,738,739,740,741,742,743,825,826,827,828,829,830,831,832,833,843,844,
845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,
864,865,866,867,868,869,870,913,914,915,916,917,918,919,920,925,926,927,928,
929,930,931,932,935,936,937,938,939,940,945,946,947,948,949,950,951,952,954,
955,957,973,974,975,976,977,979,980,981,982,983,984,985,986,987,988,989,990,
991,992,993,994,995,997,998,999,1000,1001,1005,1006,1007,1008,1009,1010,1011,
1028,1029,1030,1031,1032,1036,1037,1038,1039,1040,1041,1042,1058,1059,1060,
1061,1062,1063,1064,1065,1066,1067,1068,1069,1085,1086,1087,1088,1089,1090,
1091,1092,1103,1104,1105,1106,1314,1315,1316,1317,1318,1319,1320,1340,1341,
1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1449,1450,1451,1452,1453,
1454,1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,
1486,1487,1488,1489,1490,1491,1492,1493,1552,1553,1554,1557,1558,1565,1566,
1567,1568,1576,1577,1583,1585,1591,1593,1604,1605,1606,1607,1608,1609,1638,
1639,1868,1869,1870,1871,1872,1873,1874,1875,1876,1877,1878,1897,1898,1899,
1900,1901,1902,1903,1986,1987,1988,1989,1990,1991,1992,1993,1994,1995,1996,
1997,1998,1999,2000,2001,2002,2003,2004,2005,2006,2007,2104,2293,2294,2295,
2296,2297,2298,2299,2313,2314,2315,2316,2378,2379,2380,2381,2574],[1,2,3,4,5,
6,7,8,13,14,15,16,17,18,19,20,23,26,28,30,31,32,33,34,35,36,39,45,50,51,55,56,
57,58,62,77,83,86,88,92,94,96,98,99,100,101,104,107,110,111,117,120,136,138,
141,162,163,164,165,175,181,182,183,184,185,186,187,188,190,191,192,218,220,
225,229,231,232,236,237,238,239,240,241,242,246,249,250,271,272,273,320,328,
344,359,372,374,376,387,388,393,397,400,402,403,404,417,484,494,495,496,553,
554,557,559,561,577,578,579,581,591,593,595,597,599,600,629,630,631,639,646,
648,649,658,659,661,716,732,734,827,829,832,879,887,889,895,927,933,934,953,
959,965,966,1070,1071,1076,1077,1080,1082,1142,1147,1159,1169,1315,1317,1319,
1340,1459,1503,1507,1569,1572,1574,1673,1674,1873,2018,2117,2300,2389,2575],[
1,2,3,4,7,13,14,15,19,21,22,23,24,25,30,31,32,33,38,55,57,62,77,81,82,85,86,
87,91,92,93,98,99,102,103,107,108,109,123,126,127,129,132,133,138,139,140,145,
146,150,181,182,184,186,188,207,236,237,238,248,249,272,274,276,320,327,330,
334,337,359,367,370,374,375,380,396,397,398,402,406,410,439,451,452,453,454,
461,472,473,474,494,495,509,510,522,591,592,597,598,614,616,716,732,740,825,
826,829,830,831,885,887,888,895,914,921,922,933,941,942,1002,1003,1026,1033,
1054,1076,1077,1078,1079,1101,1112,1314,1317,1318,1341,1342,1450,1453,1510,
1518,1555,1572,1573,1614,1615,1643,1644,1869,2018,2107,2300,2391,2392,2576],[
1,2,3,4,6,7,8,13,14,15,18,19,20,22,23,25,27,29,30,31,32,33,34,35,37,38,40,50,
51,55,56,57,58,62,77,82,84,85,86,89,92,95,97,98,99,100,101,105,106,107,112,
113,122,129,132,133,134,135,137,138,139,142,150,153,171,172,173,179,181,182,
184,186,188,189,190,191,192,207,225,231,236,237,238,240,241,248,249,272,275,
277,320,329,331,337,350,359,373,374,377,391,392,395,397,399,401,402,404,424,
427,461,472,474,476,478,479,491,494,495,522,524,525,570,571,574,587,591,594,
597,598,614,616,646,647,716,732,741,826,828,829,830,833,886,887,890,895,931,
933,962,964,970,972,1033,1035,1054,1074,1076,1077,1079,1081,1112,1155,1175,
1316,1317,1320,1343,1344,1453,1466,1512,1518,1571,1572,1575,1643,1645,1682,
1683,1877,2018,2121,2300,2392,2393,2577],[1,2,3,4,5,6,7,8,9,14,15,16,17,18,19,
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,
46,47,48,49,50,51,52,53,54,61,63,64,65,66,67,68,69,91,92,93,94,95,96,97,98,99,
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,
176,177,178,179,180,189,193,196,197,198,199,200,201,202,203,204,205,206,209,
210,213,214,215,216,217,222,223,224,264,265,266,267,268,269,270,278,279,280,
281,282,283,284,285,286,287,288,289,290,291,292,293,303,367,368,369,370,371,
372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,
391,392,393,394,395,396,398,399,401,405,406,407,408,409,410,411,412,413,414,
415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,431,432,433,434,
438,439,440,441,442,443,444,445,446,447,448,449,450,460,461,462,463,464,465,
466,467,468,469,470,471,480,481,482,483,484,485,486,487,488,489,490,491,492,
493,497,498,499,500,501,502,503,504,505,506,507,508,513,514,515,516,517,518,
519,520,521,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,
544,545,546,547,548,549,550,551,552,562,568,569,585,604,605,606,609,717,719,
721,723,724,725,726,727,728,729,731,744,745,746,747,752,753,754,755,756,760,
761,762,763,764,765,766,781,782,783,784,785,786,787,913,914,915,916,917,918,
919,920,925,926,927,928,929,930,931,932,935,936,937,938,939,940,945,946,947,
948,949,950,951,952,954,955,957,973,974,975,976,977,979,980,981,982,983,984,
985,986,987,988,989,990,991,992,993,994,995,997,998,999,1000,1001,1005,1006,
1007,1008,1009,1010,1011,1028,1029,1030,1031,1032,1036,1037,1038,1039,1040,
1041,1042,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1085,
1086,1087,1088,1089,1090,1091,1092,1103,1104,1105,1106,1321,1323,1325,1329,
1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1352,1353,1358,1359,1380,
1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,
1552,1553,1554,1557,1558,1565,1566,1567,1568,1576,1577,1583,1585,1591,1593,
1604,1605,1606,1607,1608,1609,1638,1639,1879,1883,1885,1887,1889,1890,1891,
1892,1893,1894,1895,1912,1913,1914,1915,1920,1921,1922,1923,1924,1928,1929,
1930,1931,1932,1933,1934,2104,2301,2303,2305,2309,2310,2311,2312,2317,2318,
2323,2324,2578],[1,2,3,4,5,6,7,8,9,14,15,16,17,18,19,20,21,24,25,26,27,29,30,
31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,50,51,52,53,54,57,58,61,65,
67,68,69,93,94,97,98,100,102,104,105,108,110,112,114,115,116,117,118,120,122,
124,126,127,128,143,145,146,148,149,150,152,153,154,155,158,159,160,161,162,
163,164,165,166,167,168,169,171,172,173,174,179,180,182,184,185,188,189,190,
192,193,195,197,198,199,200,201,202,203,205,207,208,209,211,212,213,214,215,
216,217,220,221,222,227,229,230,264,266,269,284,286,288,289,290,291,295,297,
298,300,303,378,380,382,383,386,387,389,395,396,399,402,403,405,407,413,415,
418,420,422,425,431,432,433,437,441,444,445,446,447,448,452,453,456,457,497,
500,501,502,504,505,509,511,513,514,516,517,519,520,521,522,523,524,525,526,
528,529,530,531,532,533,534,535,544,545,546,547,549,550,554,556,557,558,561,
562,563,565,566,567,571,573,574,589,604,605,606,607,608,610,611,623,625,628,
717,720,722,725,728,731,760,761,764,768,769,771,772,775,783,785,786,787,935,
937,939,941,943,945,951,952,955,958,959,969,972,973,976,985,991,1005,1006,
1011,1013,1014,1017,1018,1020,1085,1086,1091,1092,1093,1095,1098,1103,1104,
1106,1107,1108,1110,1111,1117,1118,1120,1122,1123,1125,1134,1135,1139,1140,
1179,1180,1321,1324,1326,1329,1335,1338,1365,1366,1373,1374,1386,1389,1390,
1391,1392,1393,1397,1398,1401,1402,1576,1578,1580,1583,1586,1595,1598,1618,
1619,1629,1630,1687,1693,1700,1701,1880,1883,1886,1888,1891,1894,1928,1929,
1934,1936,1937,1940,1941,1943,2123,2301,2304,2306,2330,2331,2342,2343,2579],[
1,2,3,4,5,6,7,8,9,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,
34,35,36,37,38,39,40,42,44,45,46,47,48,50,51,52,53,54,56,58,59,61,63,64,65,66,
67,68,69,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,
110,111,112,113,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,
131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,
150,151,152,153,155,156,158,159,162,163,164,165,166,167,168,169,170,171,172,
173,174,175,176,178,179,180,183,185,187,189,191,193,194,195,196,199,200,202,
205,209,210,211,212,215,217,219,221,222,223,226,227,228,230,233,234,235,264,
265,266,267,268,269,270,278,279,280,281,282,283,288,289,290,291,292,296,297,
301,302,303,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,
384,386,387,388,389,390,391,392,393,394,395,396,398,399,401,405,406,407,408,
409,410,411,412,415,416,417,418,419,422,423,424,425,426,427,428,429,430,433,
434,435,436,437,438,439,440,445,446,447,448,449,455,456,458,459,460,461,462,
467,468,469,470,471,481,482,484,485,486,488,489,491,492,493,496,501,502,507,
511,512,517,526,527,532,533,536,537,544,545,547,555,556,558,560,562,563,564,
565,566,567,568,572,573,575,576,580,582,583,584,588,589,608,611,612,613,717,
719,721,723,724,727,730,731,746,747,754,759,770,771,772,773,775,779,781,782,
783,784,785,786,787,913,914,915,918,919,920,926,927,928,930,931,932,937,940,
947,951,952,954,955,956,957,958,960,967,968,975,978,981,990,993,996,999,1004,
1016,1017,1018,1019,1020,1024,1030,1046,1047,1048,1049,1050,1061,1064,1072,
1073,1075,1095,1096,1097,1098,1100,1108,1109,1110,1111,1322,1323,1326,1329,
1334,1335,1336,1337,1338,1339,1356,1357,1362,1363,1380,1381,1382,1383,1384,
1385,1390,1391,1392,1393,1394,1400,1401,1403,1404,1553,1561,1562,1567,1570,
1580,1581,1587,1589,1595,1597,1612,1613,1641,1642,1881,1883,1885,1887,1889,
1890,1893,1896,1914,1915,1922,1927,1939,1940,1941,1942,1943,1947,2106,2302,
2303,2306,2321,2322,2327,2328,2580],[1,2,3,4,5,6,7,8,9,14,15,16,17,18,19,20,
21,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,49,
50,51,52,53,54,56,57,58,59,61,65,66,67,68,69,93,94,97,98,100,102,104,105,108,
110,112,115,116,117,119,120,121,122,124,125,126,127,128,143,144,145,146,147,
148,149,150,152,153,155,156,157,159,160,161,162,163,164,165,166,167,168,169,
170,171,172,173,174,175,176,177,178,179,180,182,183,184,185,188,189,190,191,
192,193,194,195,196,198,199,200,201,202,203,204,205,206,207,208,209,210,211,
212,214,215,216,219,220,222,223,224,226,227,228,229,232,233,234,235,264,266,
269,285,287,288,289,290,291,292,293,295,296,297,298,300,301,302,303,378,380,
382,384,385,387,390,395,396,399,402,403,405,407,414,416,418,421,423,425,429,
430,432,434,435,436,442,443,445,446,447,448,449,450,452,453,455,456,457,458,
459,498,499,501,502,503,506,507,508,509,511,512,514,515,516,517,518,519,521,
522,523,524,525,526,527,532,533,536,537,538,539,540,541,542,547,549,550,551,
552,554,555,556,557,561,562,563,564,566,567,568,569,571,572,573,574,575,576,
579,580,585,586,588,589,590,605,607,609,610,611,612,613,627,642,644,645,717,
720,722,726,729,730,731,762,765,766,768,769,770,773,775,778,779,780,783,784,
785,786,787,936,937,938,941,943,947,949,952,956,957,959,969,972,974,977,978,
988,994,996,1007,1008,1009,1013,1014,1016,1019,1020,1023,1024,1025,1087,1088,
1089,1090,1093,1096,1097,1100,1104,1105,1106,1107,1108,1109,1110,1123,1124,
1127,1128,1129,1131,1132,1138,1139,1141,1153,1154,1185,1186,1322,1324,1325,
1329,1335,1338,1369,1370,1377,1378,1387,1388,1390,1391,1392,1393,1394,1395,
1397,1398,1400,1401,1402,1403,1404,1577,1578,1581,1587,1590,1591,1594,1622,
1624,1626,1627,1689,1691,1701,1702,1882,1883,1886,1888,1892,1895,1896,1930,
1931,1932,1936,1937,1939,1942,1943,1946,1947,1948,2125,2302,2304,2305,2334,
2335,2338,2339,2581],[1,2,3,4,5,6,7,8,9,14,15,16,17,18,19,20,21,22,25,26,27,
30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,
59,63,65,67,68,69,91,94,95,98,99,100,101,102,104,105,108,110,112,114,115,116,
117,118,119,120,121,122,124,126,127,128,130,132,133,134,135,149,150,152,154,
155,156,158,160,161,162,163,164,165,166,167,168,169,171,172,173,174,181,182,
183,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,205,209,
210,211,212,213,214,215,216,217,218,219,222,223,225,226,227,228,235,278,279,
280,284,287,288,289,290,291,294,295,296,300,301,303,368,370,371,383,384,387,
388,389,390,391,392,396,397,399,400,404,405,407,413,415,418,420,422,425,429,
430,431,432,433,434,435,436,441,442,444,445,446,447,448,451,452,454,455,457,
458,459,463,464,467,468,469,470,472,475,476,479,513,514,517,520,521,524,526,
527,528,529,530,531,532,533,534,535,536,537,538,539,544,546,549,550,551,552,
553,554,555,556,561,562,563,564,565,566,567,570,572,574,575,576,604,605,606,
611,612,613,622,624,641,744,746,747,748,749,760,761,765,766,767,768,770,771,
775,781,783,785,786,787,916,918,919,921,923,945,946,947,948,952,953,955,956,
960,961,962,973,976,978,985,991,996,1005,1006,1007,1008,1011,1012,1013,1015,
1016,1017,1019,1020,1036,1037,1038,1039,1043,1046,1047,1050,1103,1104,1108,
1109,1116,1117,1120,1121,1122,1124,1125,1126,1129,1137,1138,1141,1352,1354,
1356,1364,1365,1376,1377,1380,1381,1382,1386,1387,1390,1391,1392,1393,1396,
1397,1400,1402,1403,1557,1559,1561,1583,1584,1587,1588,1617,1618,1620,1621,
1622,1631,1648,1651,1904,1912,1914,1915,1916,1918,1928,1929,1930,1931,1935,
1936,1939,1940,1943,2109,2317,2319,2321,2329,2330,2333,2334,2582],[1,2,3,4,5,
6,7,8,9,14,15,16,17,18,19,20,21,22,24,26,27,29,30,31,32,33,34,35,36,39,41,42,
43,44,45,46,47,48,50,51,52,53,54,57,58,63,65,67,68,69,91,94,95,98,99,100,101,
103,104,106,109,110,113,114,115,116,117,118,119,120,121,124,126,127,128,130,
132,133,134,135,143,146,148,154,155,156,159,160,161,162,163,164,165,166,167,
168,169,171,172,173,174,179,180,182,184,185,192,193,195,196,197,198,201,203,
209,210,213,214,215,216,220,221,222,223,227,229,230,278,279,280,284,287,288,
289,290,291,297,298,299,302,303,368,370,371,383,384,387,388,389,390,391,392,
398,401,402,403,409,411,413,416,419,420,423,429,431,432,434,437,441,442,445,
446,447,448,453,454,456,459,463,464,466,467,468,469,470,473,474,476,477,478,
497,499,502,504,506,511,528,529,530,531,532,533,534,535,536,537,538,539,547,
548,549,550,551,552,554,556,557,558,566,571,573,576,590,623,625,642,744,746,
747,750,751,760,761,765,766,769,772,773,774,781,783,785,786,787,916,918,919,
922,924,945,946,947,948,954,957,958,959,963,964,979,982,986,995,1005,1006,
1007,1008,1014,1015,1018,1019,1036,1037,1038,1039,1042,1044,1045,1046,1048,
1049,1086,1090,1095,1097,1117,1118,1123,1124,1127,1128,1139,1140,1352,1355,
1357,1366,1367,1378,1379,1380,1381,1382,1386,1387,1390,1391,1392,1393,1398,
1399,1401,1404,1557,1560,1562,1585,1586,1589,1590,1619,1620,1623,1624,1649,
1650,1652,1653,1905,1912,1914,1915,1917,1919,1928,1929,1930,1931,1937,1938,
1941,1942,2110,2317,2320,2322,2331,2332,2335,2336,2583],[1,2,3,4,5,6,7,8,9,14,
15,16,17,18,19,20,21,22,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,
44,45,48,49,50,51,52,54,55,56,58,63,65,66,67,68,69,91,94,95,98,99,100,101,102,
104,105,108,110,112,115,116,117,120,122,124,125,126,127,128,130,132,133,134,
135,149,150,152,156,157,158,159,160,161,162,163,164,165,167,169,170,171,172,
173,175,176,177,178,179,180,181,182,183,185,188,189,190,191,192,195,196,198,
200,201,204,205,206,214,216,217,218,221,223,224,225,227,230,231,233,234,278,
279,280,285,286,288,289,292,293,294,295,296,297,300,302,303,368,370,371,385,
386,387,388,391,392,396,397,399,400,404,405,407,414,416,418,421,423,425,432,
437,442,443,444,445,446,448,449,450,451,452,454,455,456,457,459,465,466,467,
468,472,475,476,479,515,516,517,518,519,524,536,538,540,541,542,543,544,545,
546,547,548,549,551,553,554,556,558,561,565,568,569,570,573,574,576,577,580,
585,586,587,588,589,590,608,609,626,643,745,746,748,749,762,763,764,767,768,
772,773,776,779,780,781,783,784,785,786,787,917,918,921,923,949,950,951,952,
953,957,958,961,962,974,977,988,994,1007,1009,1010,1011,1012,1013,1015,1017,
1018,1019,1021,1024,1025,1040,1041,1042,1043,1048,1049,1105,1106,1110,1111,
1126,1127,1130,1131,1134,1136,1137,1140,1152,1154,1353,1354,1357,1368,1369,
1372,1373,1380,1381,1382,1388,1389,1390,1391,1394,1395,1396,1397,1400,1401,
1402,1404,1558,1559,1562,1591,1592,1595,1596,1621,1623,1625,1626,1628,1629,
1654,1657,1906,1913,1914,1916,1918,1932,1933,1934,1935,1936,1941,1942,1944,
1947,1948,2111,2318,2319,2322,2337,2338,2341,2342,2584],[1,2,3,4,5,6,7,8,9,14,
15,16,17,18,19,20,21,22,24,26,27,28,29,30,31,32,33,34,35,36,39,42,43,44,45,46,
47,49,50,51,52,53,54,56,57,58,59,63,65,66,67,68,69,91,94,95,98,99,100,101,103,
104,106,109,110,113,115,116,117,118,120,121,124,125,126,127,128,130,132,133,
134,135,143,144,146,147,148,155,157,158,159,160,161,162,163,164,165,166,167,
168,169,170,171,172,173,174,175,176,177,178,179,180,182,183,184,185,191,192,
193,194,195,198,199,201,202,211,212,214,215,216,217,219,220,222,224,226,227,
228,229,232,233,234,235,278,279,280,285,286,288,289,290,291,292,293,296,297,
298,299,301,303,368,370,371,385,386,387,388,389,390,391,392,398,401,402,403,
409,411,414,415,419,421,422,430,432,433,435,436,443,444,445,446,447,448,449,
450,453,454,455,456,458,464,465,466,467,468,469,470,473,474,476,477,478,498,
500,502,503,505,507,508,511,512,532,535,540,541,542,543,544,545,546,547,548,
549,552,554,555,556,557,562,563,564,565,566,567,568,569,571,572,573,575,579,
580,586,588,627,628,644,645,745,746,747,750,751,762,763,764,769,770,771,774,
775,778,779,781,783,784,785,786,787,917,918,919,922,924,949,950,951,954,955,
956,959,960,963,964,980,983,989,992,1009,1010,1011,1014,1015,1016,1017,1020,
1023,1024,1038,1040,1041,1042,1044,1045,1046,1047,1048,1050,1088,1092,1096,
1098,1100,1122,1123,1131,1132,1134,1135,1138,1139,1153,1353,1355,1356,1370,
1371,1374,1375,1380,1381,1382,1388,1389,1390,1391,1392,1393,1394,1395,1398,
1399,1400,1401,1403,1558,1560,1561,1593,1594,1597,1598,1627,1628,1630,1631,
1653,1655,1656,1658,1907,1913,1914,1915,1917,1919,1932,1933,1934,1937,1938,
1939,1940,1943,1946,1947,2112,2318,2320,2321,2339,2340,2343,2344,2585],[1,3,5,
6,7,8,9,21,23,24,26,27,28,29,30,32,34,35,41,42,45,46,47,49,50,51,52,53,55,56,
57,58,59,64,65,66,67,69,123,124,125,126,128,136,137,138,140,141,142,143,144,
146,147,148,154,155,157,159,162,164,166,168,170,171,173,174,175,176,177,178,
179,180,181,183,184,185,186,187,191,193,194,213,214,215,218,219,220,221,222,
224,225,226,228,229,230,231,232,233,234,235,281,282,283,284,285,288,290,292,
293,294,296,297,298,301,303,438,439,440,441,443,445,447,449,450,451,453,455,
456,458,480,481,484,486,487,488,491,492,493,494,496,497,498,502,503,504,507,
508,510,511,512,528,530,532,534,540,542,547,553,555,557,558,559,560,564,568,
569,570,571,572,573,575,577,579,580,581,582,584,587,588,622,623,624,625,626,
627,641,643,644,645,752,754,755,757,759,760,762,767,769,770,772,776,778,779,
782,783,784,785,787,997,999,1000,1002,1004,1005,1009,1012,1014,1016,1018,1021,
1023,1024,1058,1060,1061,1063,1070,1072,1074,1075,1086,1088,1094,1095,1096,
1099,1100,1116,1118,1119,1121,1123,1130,1132,1133,1136,1152,1153,1358,1360,
1362,1364,1366,1368,1370,1383,1384,1385,1386,1388,1390,1392,1394,1395,1396,
1398,1400,1401,1403,1608,1610,1612,1617,1619,1625,1627,1666,1668,1688,1690,
1908,1920,1922,1923,1925,1927,1928,1932,1935,1937,1939,1941,1944,1946,1947,
2129,2323,2325,2327,2329,2331,2337,2339,2586],[1,3,4,5,6,7,8,9,21,22,23,24,25,
26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,48,49,50,51,52,
53,54,64,65,66,67,68,69,123,124,125,126,127,128,129,130,131,132,135,136,137,
138,139,140,141,142,143,144,146,147,148,149,150,151,152,154,155,156,157,158,
159,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,
180,182,188,189,190,192,193,195,196,197,199,200,201,202,204,205,206,209,211,
212,213,214,215,217,222,223,224,227,281,282,283,284,285,288,289,290,291,292,
293,295,299,300,302,303,438,439,440,441,443,445,446,447,448,449,450,452,454,
457,459,460,461,462,463,465,467,469,471,473,476,478,480,481,482,484,485,486,
487,488,489,491,492,493,495,497,498,502,503,504,507,508,509,513,515,517,518,
520,524,525,526,528,529,530,531,532,533,534,535,536,539,540,542,543,544,547,
554,556,561,562,563,565,566,567,568,569,574,576,578,583,585,586,589,590,604,
606,609,611,752,754,755,758,760,761,762,768,771,773,774,775,777,780,782,783,
784,785,786,787,997,999,1000,1003,1005,1006,1009,1013,1015,1017,1019,1020,
1022,1025,1028,1030,1031,1035,1036,1040,1044,1046,1048,1052,1058,1059,1060,
1061,1063,1064,1065,1071,1073,1086,1088,1093,1097,1098,1103,1105,1108,1110,
1117,1120,1122,1124,1125,1127,1131,1134,1154,1358,1361,1363,1365,1367,1369,
1371,1383,1384,1385,1386,1388,1390,1391,1392,1393,1394,1395,1397,1399,1402,
1404,1608,1611,1613,1618,1620,1626,1628,1638,1641,1649,1655,1667,1669,1687,
1689,1909,1920,1922,1923,1926,1928,1929,1932,1936,1938,1940,1942,1943,1945,
1948,2130,2323,2326,2328,2330,2332,2338,2340,2587],[1,3,5,6,7,8,9,21,23,24,26,
27,28,29,30,32,34,35,43,44,45,48,50,51,54,55,56,57,58,64,65,66,67,69,123,124,
125,126,128,136,137,138,140,141,142,143,144,146,147,148,156,158,160,161,162,
164,167,169,171,173,175,176,179,181,183,184,185,186,187,191,195,196,216,217,
218,220,223,225,227,229,231,232,281,282,283,286,287,288,291,292,294,296,297,
298,302,303,438,439,440,442,444,445,448,449,451,453,455,456,459,482,483,484,
486,489,490,491,492,494,496,499,500,502,505,506,507,510,511,512,536,538,544,
546,549,551,553,556,557,559,565,570,571,576,577,579,581,583,587,628,642,753,
754,756,757,759,764,765,767,769,771,773,776,778,782,783,784,785,787,998,999,
1001,1002,1004,1007,1011,1012,1014,1017,1019,1021,1023,1064,1066,1067,1069,
1070,1073,1074,1090,1092,1094,1097,1098,1099,1126,1128,1135,1137,1139,1359,
1360,1363,1372,1374,1376,1378,1383,1384,1385,1387,1389,1390,1393,1394,1396,
1398,1400,1401,1404,1609,1610,1613,1621,1624,1630,1670,1671,1692,1910,1921,
1922,1924,1925,1927,1930,1934,1935,1937,1940,1942,1944,1946,2131,2324,2325,
2328,2333,2335,2341,2343,2588],[1,3,4,5,6,7,8,9,21,22,23,24,25,26,27,28,29,30,
31,32,33,34,35,36,37,38,39,40,42,43,44,45,46,47,48,50,51,52,53,54,56,58,59,64,
65,66,67,68,69,123,124,125,126,127,128,129,130,131,132,135,136,137,138,139,
140,141,142,143,144,146,147,148,149,150,151,152,155,156,158,159,160,161,162,
163,164,165,166,167,168,169,170,171,172,173,174,175,176,178,179,180,182,183,
185,187,188,189,190,191,192,193,194,196,198,199,200,202,203,205,210,211,212,
215,216,217,219,221,222,223,226,228,230,233,234,235,281,282,283,286,287,288,
289,290,291,292,295,296,297,299,300,301,303,438,439,440,442,444,445,446,447,
448,449,452,454,455,456,457,458,460,461,462,464,466,467,470,471,473,476,478,
481,482,483,484,485,486,488,489,490,491,492,493,495,496,499,500,502,505,506,
507,509,511,512,514,516,517,519,521,524,525,527,532,535,536,537,538,539,544,
546,547,548,549,550,551,552,554,555,558,560,561,562,563,564,566,567,568,572,
573,574,575,578,580,582,584,588,590,605,608,612,613,753,754,756,758,759,764,
765,766,768,770,772,774,775,777,779,782,783,784,785,786,787,998,999,1001,1003,
1004,1007,1008,1011,1013,1015,1016,1018,1020,1022,1024,1029,1030,1032,1035,
1038,1042,1044,1047,1049,1052,1061,1062,1064,1066,1067,1068,1069,1071,1072,
1075,1090,1092,1093,1095,1096,1100,1104,1106,1109,1111,1122,1124,1127,1129,
1134,1138,1140,1141,1359,1361,1362,1373,1375,1377,1379,1383,1384,1385,1387,
1389,1390,1391,1392,1393,1394,1397,1399,1400,1401,1402,1403,1609,1611,1612,
1622,1623,1629,1631,1639,1642,1652,1658,1669,1672,1691,1693,1911,1921,1922,
1924,1926,1927,1930,1931,1934,1936,1938,1939,1941,1943,1945,1947,2132,2324,
2326,2327,2334,2336,2342,2344,2589],[1,2,3,4,7,10,14,15,19,21,22,23,24,25,30,
31,32,33,38,55,57,70,72,73,74,91,92,93,98,99,102,103,107,108,109,123,126,127,
129,132,133,138,139,140,145,146,150,181,182,184,186,188,207,236,237,238,248,
249,304,309,310,311,312,313,314,315,316,317,318,323,324,325,326,367,370,374,
375,380,396,397,398,402,406,410,439,451,452,453,454,461,472,473,474,494,495,
509,510,522,591,592,597,598,614,616,788,789,790,791,792,800,801,802,803,804,
805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,837,838,
839,840,841,842,914,921,922,933,941,942,1002,1003,1026,1033,1054,1076,1077,
1078,1079,1101,1112,1405,1406,1407,1408,1409,1410,1411,1412,1413,1428,1429,
1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,
1445,1446,1447,1484,1485,1555,1572,1573,1614,1615,1643,1644,1949,1950,1951,
1952,1953,1954,1955,1976,1977,1978,1979,1980,1981,1982,1983,1984,1985,2107,
2345,2346,2347,2374,2375,2376,2377,2590],[1,2,3,4,5,6,7,8,10,14,15,16,17,18,
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,
45,46,47,48,49,50,51,52,53,54,70,72,73,74,91,92,93,94,95,96,97,98,99,100,101,
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,
178,179,180,189,193,196,197,198,199,200,201,202,203,204,205,206,209,210,213,
214,215,216,217,222,223,224,304,309,310,311,312,313,314,315,316,317,318,323,
324,353,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,
384,385,386,387,388,389,390,391,392,393,394,395,396,398,399,401,405,406,407,
408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,
427,428,429,431,432,433,434,438,439,440,441,442,443,444,445,446,447,448,449,
450,460,461,462,463,464,465,466,467,468,469,470,471,480,481,482,483,484,485,
486,487,488,489,490,491,492,493,497,498,499,500,501,502,503,504,505,506,507,
508,513,514,515,516,517,518,519,520,521,528,529,530,531,532,533,534,535,536,
537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,562,568,569,
585,604,605,606,609,788,789,790,791,792,800,801,802,803,804,805,806,807,808,
809,810,811,812,813,814,815,816,834,871,872,873,913,914,915,916,917,918,919,
920,925,926,927,928,929,930,931,932,935,936,937,938,939,940,945,946,947,948,
949,950,951,952,954,955,957,973,974,975,976,977,979,980,981,982,983,984,985,
986,987,988,989,990,991,992,993,994,995,997,998,999,1000,1001,1005,1006,1007,
1008,1009,1010,1011,1028,1029,1030,1031,1032,1036,1037,1038,1039,1040,1041,
1042,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1085,1086,
1087,1088,1089,1090,1091,1092,1103,1104,1105,1106,1405,1406,1407,1408,1409,
1417,1428,1429,1430,1432,1434,1435,1469,1471,1472,1473,1474,1475,1476,1477,
1478,1479,1494,1495,1552,1553,1554,1557,1558,1565,1566,1567,1568,1576,1577,
1583,1585,1591,1593,1604,1605,1606,1607,1608,1609,1638,1639,1949,1957,1958,
1959,1960,1961,2008,2009,2010,2011,2012,2013,2020,2021,2022,2023,2024,2025,
2026,2027,2028,2029,2030,2104,2348,2349,2350,2351,2352,2382,2383,2384,2385,
2395,2396,2591],[1,3,5,6,7,8,10,21,23,24,26,27,28,29,30,32,34,35,41,42,45,46,
47,49,50,51,52,53,55,56,57,58,59,70,74,123,124,125,126,128,136,137,138,140,
141,142,143,144,146,147,148,154,155,157,159,162,164,166,168,170,171,173,174,
175,176,177,178,179,180,181,183,184,185,186,187,191,193,194,213,214,215,218,
219,220,221,222,224,225,226,228,229,230,231,232,233,234,235,304,311,313,315,
317,325,326,353,438,439,440,441,443,445,447,449,450,451,453,455,456,458,480,
481,484,486,487,488,491,492,493,494,496,497,498,502,503,504,507,508,510,511,
512,528,530,532,534,540,542,547,553,555,557,558,559,560,564,568,569,570,571,
572,573,575,577,579,580,581,582,584,587,588,622,623,624,625,626,627,641,643,
644,645,789,791,808,811,815,817,819,820,834,873,997,999,1000,1002,1004,1005,
1009,1012,1014,1016,1018,1021,1023,1024,1058,1060,1061,1063,1070,1072,1074,
1075,1086,1088,1094,1095,1096,1099,1100,1116,1118,1119,1121,1123,1130,1132,
1133,1136,1152,1153,1407,1410,1412,1417,1439,1442,1469,1471,1476,1478,1496,
1497,1608,1610,1612,1617,1619,1625,1627,1666,1668,1688,1690,1952,1957,1960,
2010,2013,2024,2031,2033,2034,2129,2349,2353,2355,2386,2398,2592],[1,3,4,5,6,
7,8,10,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,44,
45,46,47,48,49,50,51,52,53,54,70,73,74,123,124,125,126,127,128,129,130,131,
132,135,136,137,138,139,140,141,142,143,144,146,147,148,149,150,151,152,154,
155,156,157,158,159,162,163,164,165,166,167,168,169,170,171,172,173,174,175,
176,177,178,179,180,182,188,189,190,192,193,195,196,197,199,200,201,202,204,
205,206,209,211,212,213,214,215,217,222,223,224,227,304,310,311,313,314,315,
316,317,318,324,353,438,439,440,441,443,445,446,447,448,449,450,452,454,457,
459,460,461,462,463,465,467,469,471,473,476,478,480,481,482,484,485,486,487,
488,489,491,492,493,495,497,498,502,503,504,507,508,509,513,515,517,518,520,
524,525,526,528,529,530,531,532,533,534,535,536,539,540,542,543,544,547,554,
556,561,562,563,565,566,567,568,569,574,576,578,583,585,586,589,590,604,606,
609,611,789,791,792,804,806,808,810,811,815,816,818,821,834,872,873,997,999,
1000,1003,1005,1006,1009,1013,1015,1017,1019,1020,1022,1025,1028,1030,1031,
1035,1036,1040,1044,1046,1048,1052,1058,1059,1060,1061,1063,1064,1065,1071,
1073,1086,1088,1093,1097,1098,1103,1105,1108,1110,1117,1120,1122,1124,1125,
1127,1131,1134,1154,1407,1411,1413,1417,1434,1437,1440,1441,1469,1471,1473,
1475,1476,1477,1478,1479,1495,1608,1611,1613,1618,1620,1626,1628,1638,1641,
1649,1655,1667,1669,1687,1689,1953,1957,1960,1961,2009,2010,2012,2013,2024,
2027,2030,2032,2035,2130,2349,2354,2356,2384,2387,2397,2399,2593],[1,2,3,4,5,
6,7,8,10,14,15,16,17,18,19,20,21,22,25,26,27,30,31,32,33,34,35,36,37,38,39,40,
41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,59,70,72,73,74,91,94,95,98,99,
100,101,102,104,105,108,110,112,114,115,116,117,118,119,120,121,122,124,126,
127,128,130,132,133,134,135,149,150,152,154,155,156,158,160,161,162,163,164,
165,166,167,168,169,171,172,173,174,181,182,183,188,189,190,191,192,193,194,
195,196,197,198,199,200,201,202,203,205,209,210,211,212,213,214,215,216,217,
218,219,222,223,225,226,227,228,235,304,309,310,312,314,315,316,317,318,323,
324,325,353,368,370,371,383,384,387,388,389,390,391,392,396,397,399,400,404,
405,407,413,415,418,420,422,425,429,430,431,432,433,434,435,436,441,442,444,
445,446,447,448,451,452,454,455,457,458,459,463,464,467,468,469,470,472,475,
476,479,513,514,517,520,521,524,526,527,528,529,530,531,532,533,534,535,536,
537,538,539,544,546,549,550,551,552,553,554,555,556,561,562,563,564,565,566,
567,570,572,574,575,576,604,605,606,611,612,613,622,624,641,788,790,791,792,
802,803,806,807,812,816,817,818,821,834,871,872,873,916,918,919,921,923,945,
946,947,948,952,953,955,956,960,961,962,973,976,978,985,991,996,1005,1006,
1007,1008,1011,1012,1013,1015,1016,1017,1019,1020,1036,1037,1038,1039,1043,
1046,1047,1050,1103,1104,1108,1109,1116,1117,1120,1121,1122,1124,1125,1126,
1129,1137,1138,1141,1406,1409,1410,1411,1413,1417,1431,1436,1472,1473,1474,
1475,1476,1477,1478,1479,1494,1495,1496,1557,1559,1561,1583,1584,1587,1588,
1617,1618,1620,1621,1622,1631,1648,1651,1950,1958,1959,1960,1961,2025,2026,
2027,2028,2029,2030,2031,2032,2035,2109,2351,2352,2353,2354,2356,2400,2402,
2594],[1,2,3,4,5,6,7,8,10,14,15,16,17,18,19,20,21,22,24,26,27,29,30,31,32,33,
34,35,36,39,41,42,43,44,45,46,47,48,50,51,52,53,54,57,58,70,72,73,74,91,94,95,
98,99,100,101,103,104,106,109,110,113,114,115,116,117,118,119,120,121,124,126,
127,128,130,132,133,134,135,143,146,148,154,155,156,159,160,161,162,163,164,
165,166,167,168,169,171,172,173,174,179,180,182,184,185,192,193,195,196,197,
198,201,203,209,210,213,214,215,216,220,221,222,223,227,229,230,304,309,310,
312,313,315,316,317,318,323,326,353,368,370,371,383,384,387,388,389,390,391,
392,398,401,402,403,409,411,413,416,419,420,423,429,431,432,434,437,441,442,
445,446,447,448,453,454,456,459,463,464,466,467,468,469,470,473,474,476,477,
478,497,499,502,504,506,511,528,529,530,531,532,533,534,535,536,537,538,539,
547,548,549,550,551,552,554,556,557,558,566,571,573,576,590,623,625,642,788,
791,792,802,803,805,806,807,813,815,818,819,834,871,872,873,916,918,919,922,
924,945,946,947,948,954,957,958,959,963,964,979,982,986,995,1005,1006,1007,
1008,1014,1015,1018,1019,1036,1037,1038,1039,1042,1044,1045,1046,1048,1049,
1086,1090,1095,1097,1117,1118,1123,1124,1127,1128,1139,1140,1406,1412,1413,
1417,1432,1433,1437,1438,1471,1472,1473,1474,1476,1477,1478,1479,1494,1497,
1557,1560,1562,1585,1586,1589,1590,1619,1620,1623,1624,1649,1650,1652,1653,
1951,1958,1960,1961,2021,2022,2024,2025,2026,2027,2028,2032,2033,2110,2351,
2355,2356,2396,2399,2401,2403,2595],[1,2,3,4,5,6,7,8,10,14,15,16,17,18,19,20,
21,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,50,51,
52,53,54,57,58,70,72,73,74,93,94,97,98,100,102,104,105,108,110,112,114,115,
116,117,118,120,122,124,126,127,128,143,145,146,148,149,150,152,153,154,155,
158,159,160,161,162,163,164,165,166,167,168,169,171,172,173,174,179,180,182,
184,185,188,189,190,192,193,195,197,198,199,200,201,202,203,205,207,208,209,
211,212,213,214,215,216,217,220,221,222,227,229,230,304,309,312,313,314,315,
316,317,318,323,324,326,353,378,380,382,383,386,387,389,395,396,399,402,403,
405,407,413,415,418,420,422,425,431,432,433,437,441,444,445,446,447,448,452,
453,456,457,497,500,501,502,504,505,509,511,513,514,516,517,519,520,521,522,
523,524,525,526,528,529,530,531,532,533,534,535,544,545,546,547,549,550,554,
556,557,558,561,562,563,565,566,567,571,573,574,589,604,605,606,607,608,610,
611,623,625,628,790,791,792,801,802,812,814,815,816,818,819,821,834,837,871,
872,873,935,937,939,941,943,945,951,952,955,958,959,969,972,973,976,985,991,
1005,1006,1011,1013,1014,1017,1018,1020,1085,1086,1091,1092,1093,1095,1098,
1103,1104,1106,1107,1108,1110,1111,1117,1118,1120,1122,1123,1125,1134,1135,
1139,1140,1179,1180,1409,1411,1412,1417,1430,1433,1441,1443,1471,1472,1474,
1475,1476,1477,1478,1479,1494,1495,1497,1576,1578,1580,1583,1586,1595,1598,
1618,1619,1629,1630,1687,1693,1700,1701,1954,1959,1960,1961,2020,2023,2024,
2025,2029,2030,2032,2033,2035,2036,2123,2352,2354,2355,2395,2397,2401,2404,
2596],[1,3,5,6,7,8,10,21,26,27,30,32,34,35,41,42,45,46,47,50,51,52,53,55,56,
57,58,59,70,74,124,126,128,154,155,162,164,166,168,171,173,174,181,183,186,
187,191,193,194,213,214,215,218,219,220,221,222,225,226,228,231,232,233,234,
235,236,237,238,239,240,241,242,243,244,245,246,247,304,315,317,325,326,353,
441,445,447,451,455,458,528,530,532,534,553,555,559,560,564,570,572,575,591,
592,593,594,595,596,622,623,624,626,627,629,630,631,632,633,634,635,636,641,
646,647,648,649,650,651,652,653,654,655,656,657,791,817,820,834,838,839,840,
873,1005,1012,1016,1026,1027,1116,1119,1121,1142,1143,1144,1145,1146,1155,
1156,1157,1158,1191,1192,1193,1196,1197,1198,1199,1208,1209,1410,1417,1444,
1445,1476,1478,1496,1497,1617,1632,1633,1705,1706,1709,1710,1955,1960,2031,
2034,2037,2038,2039,2137,2353,2405,2406,2597],[1,2,3,4,5,6,7,8,11,14,15,16,17,
18,19,20,21,22,25,26,27,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,
48,50,51,52,53,54,55,56,59,71,75,76,91,94,95,98,99,100,101,102,104,105,108,
110,112,114,115,116,117,118,119,120,121,122,124,126,127,128,130,132,133,134,
135,149,150,152,154,155,156,158,160,161,162,163,164,165,166,167,168,169,171,
172,173,174,181,182,183,188,189,190,191,192,193,194,195,196,197,198,199,200,
201,202,203,205,209,210,211,212,213,214,215,216,217,218,219,222,223,225,226,
227,228,235,305,307,321,322,354,356,368,370,371,383,384,387,388,389,390,391,
392,396,397,399,400,404,405,407,413,415,418,420,422,425,429,430,431,432,433,
434,435,436,441,442,444,445,446,447,448,451,452,454,455,457,458,459,463,464,
467,468,469,470,472,475,476,479,513,514,517,520,521,524,526,527,528,529,530,
531,532,533,534,535,536,537,538,539,544,546,549,550,551,552,553,554,555,556,
561,562,563,564,565,566,567,570,572,574,575,576,604,605,606,611,612,613,622,
624,641,793,794,795,799,835,836,874,875,880,881,916,918,919,921,923,945,946,
947,948,952,953,955,956,960,961,962,973,976,978,985,991,996,1005,1006,1007,
1008,1011,1012,1013,1015,1016,1017,1019,1020,1036,1037,1038,1039,1043,1046,
1047,1050,1103,1104,1108,1109,1116,1117,1120,1121,1122,1124,1125,1126,1129,
1137,1138,1141,1414,1415,1416,1418,1420,1426,1480,1481,1482,1483,1557,1559,
1561,1583,1584,1587,1588,1617,1618,1620,1621,1622,1631,1648,1651,1956,1962,
1963,1964,1966,1975,2109,2357,2358,2359,2598],[1,3,5,6,7,8,13,21,23,24,26,27,
28,29,30,32,34,35,41,42,45,46,47,49,50,51,52,53,55,56,57,58,59,81,83,84,123,
124,125,126,128,136,137,138,140,141,142,143,144,146,147,148,154,155,157,159,
162,164,166,168,170,171,173,174,175,176,177,178,179,180,181,183,184,185,186,
187,191,193,194,213,214,215,218,219,220,221,222,224,225,226,228,229,230,231,
232,233,234,235,306,333,339,340,359,438,439,440,441,443,445,447,449,450,451,
453,455,456,458,480,481,484,486,487,488,491,492,493,494,496,497,498,502,503,
504,507,508,510,511,512,528,530,532,534,540,542,547,553,555,557,558,559,560,
564,568,569,570,571,572,573,575,577,579,580,581,582,584,587,588,622,623,624,
625,626,627,641,643,644,645,796,797,798,849,879,885,886,997,999,1000,1002,
1004,1005,1009,1012,1014,1016,1018,1021,1023,1024,1058,1060,1061,1063,1070,
1072,1074,1075,1086,1088,1094,1095,1096,1099,1100,1116,1118,1119,1121,1123,
1130,1132,1133,1136,1152,1153,1419,1422,1423,1424,1499,1501,1502,1608,1610,
1612,1617,1619,1625,1627,1666,1668,1688,1690,1965,1967,1968,1969,2042,2129,
2360,2362,2363,2599],[1,3,5,6,7,8,13,21,26,27,30,32,34,35,41,42,45,46,47,50,
51,52,53,55,56,57,58,59,83,86,88,124,126,128,154,155,162,164,166,168,171,173,
174,181,183,186,187,191,193,194,213,214,215,218,219,220,221,222,225,226,228,
231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,306,339,
344,347,359,441,445,447,451,455,458,528,530,532,534,553,555,559,560,564,570,
572,575,591,592,593,594,595,596,622,623,624,626,627,629,630,631,632,633,634,
635,636,641,646,647,648,649,650,651,652,653,654,655,656,657,796,860,879,887,
889,1005,1012,1016,1026,1027,1116,1119,1121,1142,1143,1144,1145,1146,1155,
1156,1157,1158,1191,1192,1193,1196,1197,1198,1199,1208,1209,1419,1424,1499,
1503,1505,1617,1632,1633,1705,1706,1709,1710,1967,1970,1972,2043,2137,2360,
2364,2366,2600],[1,3,5,6,7,8,13,21,26,27,30,32,34,35,41,42,45,46,47,50,51,52,
53,55,56,57,58,59,83,87,89,124,126,128,154,155,162,164,166,168,171,173,174,
181,183,186,187,191,193,194,213,214,215,218,219,220,221,222,225,226,228,231,
232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,306,339,345,
348,359,441,445,447,451,455,458,528,530,532,534,553,555,559,560,564,570,572,
575,591,592,593,594,595,596,622,623,624,626,627,629,630,631,632,633,634,635,
636,641,646,647,648,649,650,651,652,653,654,655,656,657,796,861,879,888,890,
1005,1012,1016,1026,1027,1116,1119,1121,1142,1143,1144,1145,1146,1155,1156,
1157,1158,1191,1192,1193,1196,1197,1198,1199,1208,1209,1419,1424,1499,1504,
1506,1617,1632,1633,1705,1706,1709,1710,1967,1971,1973,2044,2137,2360,2365,
2367,2601],[1,3,5,6,7,8,12,21,26,27,30,32,34,35,41,42,45,46,47,50,51,52,53,55,
56,57,58,59,80,124,126,128,154,155,162,164,166,168,171,173,174,181,183,186,
187,191,193,194,213,214,215,218,219,220,221,222,225,226,228,231,232,233,234,
235,236,237,238,239,240,241,242,243,244,245,246,247,308,355,357,360,361,441,
445,447,451,455,458,528,530,532,534,553,555,559,560,564,570,572,575,591,592,
593,594,595,596,622,623,624,626,627,629,630,631,632,633,634,635,636,641,646,
647,648,649,650,651,652,653,654,655,656,657,878,891,892,1005,1012,1016,1026,
1027,1116,1119,1121,1142,1143,1144,1145,1146,1155,1156,1157,1158,1191,1192,
1193,1196,1197,1198,1199,1208,1209,1421,1425,1427,1500,1508,1617,1632,1633,
1705,1706,1709,1710,1974,2045,2055,2137,2361,2602],[1,3,5,6,7,8,13,21,23,24,
26,27,28,29,30,32,34,35,45,50,51,55,56,57,58,81,83,84,86,87,88,89,123,124,125,
126,128,136,137,138,140,141,142,143,144,146,147,148,162,164,171,173,175,176,
179,181,183,184,185,186,187,191,218,220,225,229,231,232,236,237,238,239,240,
241,242,246,249,250,306,333,334,335,344,345,350,351,359,438,439,440,445,449,
451,453,455,456,484,486,491,492,494,496,502,507,510,511,512,553,557,559,570,
571,577,579,581,587,591,592,593,594,595,597,599,600,629,630,631,639,646,647,
648,649,658,659,661,796,797,798,851,879,885,886,887,888,889,890,999,1002,1004,
1012,1014,1021,1023,1026,1027,1070,1074,1076,1078,1080,1081,1094,1099,1101,
1102,1142,1143,1147,1155,1156,1159,1160,1169,1175,1176,1422,1424,1501,1503,
1504,1510,1511,1512,1513,1610,1614,1616,1632,1634,1673,1675,1682,1684,1694,
1696,1967,1968,1969,1970,1971,1972,1973,2049,2133,2362,2364,2365,2368,2369,
2370,2371,2603],[1,3,5,6,7,8,13,21,23,24,26,27,28,29,30,32,34,35,45,46,50,51,
53,55,56,57,58,59,81,83,84,88,89,123,124,125,126,128,136,137,138,140,141,142,
143,144,146,147,148,162,164,168,171,173,175,176,179,181,183,184,185,186,187,
191,194,218,219,220,221,225,226,228,229,230,231,232,233,234,239,240,241,242,
243,244,245,246,247,250,252,253,306,333,335,347,348,352,359,438,439,440,445,
449,451,453,455,456,484,486,491,492,494,496,502,507,510,511,512,553,555,557,
558,559,560,570,571,577,579,580,581,582,584,587,593,594,595,596,599,600,601,
602,632,633,634,635,636,640,650,651,652,653,654,655,656,657,662,663,664,666,
667,668,669,796,797,798,853,879,885,886,889,890,999,1002,1004,1012,1014,1021,
1023,1027,1070,1072,1074,1080,1081,1083,1094,1099,1102,1144,1145,1146,1149,
1151,1157,1158,1161,1163,1164,1165,1171,1173,1174,1177,1178,1422,1424,1501,
1505,1506,1511,1514,1515,1610,1616,1633,1635,1637,1677,1679,1685,1695,1697,
1699,1967,1968,1969,1972,1973,2050,2135,2362,2366,2367,2369,2372,2373,2604],[
1,3,5,6,7,8,13,21,26,27,28,29,30,32,34,35,42,45,46,49,50,51,52,53,55,56,57,58,
59,83,84,86,88,89,124,125,126,128,157,159,162,164,170,171,173,175,176,177,178,
179,180,181,183,185,186,187,191,214,215,218,219,220,221,224,225,226,228,229,
230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,250,
252,253,306,340,344,348,350,352,359,443,445,449,450,451,455,456,540,542,547,
553,558,559,560,568,569,570,573,577,580,581,582,584,587,588,591,592,593,594,
595,596,600,601,602,624,625,626,627,629,630,631,632,633,634,636,640,643,644,
645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,662,663,664,666,
667,668,669,796,798,863,879,886,887,889,890,1009,1012,1018,1021,1024,1026,
1027,1130,1133,1136,1142,1143,1144,1145,1151,1152,1155,1156,1157,1158,1159,
1160,1161,1163,1164,1165,1173,1174,1175,1176,1177,1178,1196,1198,1200,1201,
1214,1215,1216,1217,1423,1424,1502,1503,1506,1512,1514,1515,1625,1632,1633,
1634,1635,1637,1713,1714,1719,1720,1721,1722,1723,1724,1967,1969,1970,1972,
1973,2051,2138,2363,2364,2367,2370,2372,2373,2605],[1,3,5,6,7,8,13,21,26,27,
28,29,30,32,34,35,42,45,46,49,50,51,52,53,55,56,57,58,59,83,84,87,88,89,124,
125,126,128,157,159,162,164,170,171,173,175,176,177,178,179,180,181,183,185,
186,187,191,214,215,218,219,220,221,224,225,226,228,229,230,231,232,233,234,
235,236,237,238,239,240,241,242,243,244,245,246,247,250,252,253,306,340,345,
347,351,352,359,443,445,449,450,451,455,456,540,542,547,553,558,559,560,568,
569,570,573,577,580,581,582,584,587,588,591,592,593,594,595,596,600,601,602,
624,625,626,627,629,630,631,632,633,634,636,640,643,644,645,646,647,648,649,
650,651,652,653,654,655,656,657,658,659,662,663,664,666,667,668,669,796,798,
864,879,886,888,889,890,1009,1012,1018,1021,1024,1026,1027,1130,1133,1136,
1142,1143,1144,1145,1151,1152,1155,1156,1157,1158,1159,1160,1161,1163,1164,
1165,1173,1174,1175,1176,1177,1178,1196,1198,1200,1201,1214,1215,1216,1217,
1423,1424,1502,1504,1505,1513,1514,1515,1625,1632,1633,1634,1635,1637,1713,
1714,1719,1720,1721,1722,1723,1724,1967,1969,1971,1972,1973,2052,2138,2363,
2365,2366,2371,2372,2373,2606],[1,2,3,4,5,6,7,8,10,14,15,16,17,18,19,20,23,26,
28,30,31,32,33,34,35,36,39,41,42,43,44,45,46,49,50,51,52,53,54,55,56,57,58,59,
70,72,73,74,92,94,96,98,99,100,101,104,107,110,111,114,115,116,117,118,120,
121,136,138,141,154,157,160,161,162,163,164,165,166,167,168,169,175,177,181,
182,183,184,185,186,187,188,190,191,192,194,195,197,198,201,203,211,212,213,
214,215,216,218,219,220,221,224,225,226,227,228,229,230,231,232,233,234,235,
309,311,312,315,316,317,318,323,325,326,353,372,374,376,383,385,387,388,389,
390,393,397,400,402,403,404,413,414,417,420,421,430,431,432,435,436,437,480,
483,484,487,490,494,495,496,528,529,530,531,540,541,549,550,551,552,553,554,
555,556,557,558,559,560,561,563,564,565,566,567,577,578,579,580,581,582,583,
584,586,622,623,624,625,626,627,643,644,645,800,802,803,808,809,817,818,819,
820,821,834,871,872,873,925,927,929,933,934,945,946,949,953,956,958,959,960,
965,966,967,968,984,987,1058,1067,1070,1071,1072,1073,1116,1117,1118,1119,
1120,1130,1131,1132,1133,1137,1138,1139,1140,1141,1428,1431,1433,1439,1440,
1469,1472,1474,1476,1477,1478,1479,1494,1496,1497,1565,1569,1570,1584,1586,
1592,1594,1666,1667,1671,1672,1976,2008,2010,2011,2025,2026,2031,2032,2033,
2034,2035,2115,2382,2386,2387,2400,2401,2607],[1,3,4,5,6,7,8,10,22,23,25,26,
28,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,48,49,50,51,52,53,54,55,56,
57,58,59,70,73,74,129,130,131,132,133,134,135,136,138,139,141,149,150,151,152,
154,156,157,158,162,163,164,165,166,167,168,169,175,177,181,183,184,185,186,
187,188,189,190,191,194,196,197,199,200,201,202,204,205,206,207,208,210,211,
212,213,214,215,217,218,219,220,221,223,224,225,226,228,229,230,231,232,233,
234,235,310,311,314,315,316,317,318,324,325,326,353,460,461,462,463,465,467,
468,469,470,471,472,474,475,477,479,480,482,484,485,487,489,494,496,513,515,
517,518,520,522,523,527,528,529,530,531,536,537,538,539,540,543,544,553,555,
557,558,559,560,561,562,563,564,565,567,577,579,580,581,582,584,585,604,606,
607,608,609,610,612,613,622,623,624,625,626,627,628,642,643,644,645,804,806,
807,808,810,816,817,819,820,821,834,837,872,873,1028,1030,1031,1033,1034,1036,
1037,1040,1043,1045,1047,1049,1050,1051,1053,1058,1059,1064,1065,1070,1072,
1103,1105,1107,1109,1111,1116,1118,1119,1120,1126,1128,1129,1130,1132,1133,
1135,1179,1180,1185,1186,1434,1436,1438,1439,1443,1469,1473,1475,1476,1477,
1478,1479,1495,1496,1497,1638,1640,1642,1648,1650,1654,1656,1666,1670,1700,
1702,1978,2009,2010,2012,2027,2028,2030,2031,2033,2034,2035,2036,2139,2384,
2386,2402,2403,2404,2608],[1,3,5,6,7,8,10,23,26,28,30,32,34,35,41,42,45,46,49,
50,51,52,53,55,56,57,58,59,70,74,136,138,141,154,157,162,164,166,168,175,177,
181,183,184,185,186,187,191,194,213,214,215,218,219,220,221,224,225,226,228,
229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,
249,250,252,253,311,315,317,325,326,353,480,484,487,494,496,528,530,540,553,
555,557,558,559,560,564,577,579,580,581,582,584,591,593,595,596,597,599,600,
601,602,622,623,624,625,626,627,629,630,631,632,633,634,635,636,639,640,643,
644,645,646,648,649,650,652,653,654,655,656,657,658,659,661,662,663,664,666,
667,668,669,808,817,819,820,834,838,839,840,842,873,1058,1070,1072,1076,1080,
1083,1116,1118,1119,1130,1132,1133,1142,1144,1146,1147,1149,1151,1159,1161,
1164,1169,1171,1173,1174,1191,1192,1193,1195,1196,1198,1199,1200,1201,1203,
1214,1215,1216,1217,1218,1221,1439,1444,1446,1469,1476,1478,1496,1497,1666,
1673,1677,1705,1707,1713,1715,1980,2010,2031,2033,2034,2037,2038,2039,2041,
2147,2386,2405,2407,2609],[1,3,5,6,7,8,10,23,26,28,30,32,33,34,35,41,42,45,46,
49,50,51,52,53,54,55,56,57,58,59,70,74,136,138,141,154,157,162,164,165,166,
168,169,175,177,181,182,183,184,185,186,187,191,192,194,195,213,214,215,218,
219,220,221,224,225,226,227,228,229,230,231,232,233,234,235,311,315,317,318,
325,326,353,480,484,487,494,495,496,528,530,531,540,553,554,555,556,557,558,
559,560,564,566,577,578,579,580,581,582,583,584,586,622,623,624,625,626,627,
643,644,645,808,817,818,819,820,834,873,1058,1070,1071,1072,1073,1077,1082,
1116,1117,1118,1119,1130,1131,1132,1133,1162,1167,1168,1172,1439,1440,1469,
1476,1478,1479,1496,1497,1666,1667,1674,1678,1681,1981,2010,2031,2032,2033,
2034,2148,2386,2387,2610],[1,3,5,6,7,8,10,23,26,28,30,32,34,35,41,42,45,46,49,
50,51,52,53,55,56,57,58,59,70,74,136,138,141,154,157,162,164,166,168,175,177,
181,183,184,185,186,187,191,194,213,214,215,218,219,220,221,224,225,226,228,
229,230,231,232,233,234,235,237,240,246,247,311,315,317,325,326,353,480,484,
487,494,496,528,530,540,553,555,557,558,559,560,564,577,579,580,581,582,584,
592,594,622,623,624,625,626,627,630,633,636,643,644,645,647,651,808,817,819,
820,834,839,873,1058,1070,1072,1078,1081,1116,1118,1119,1130,1132,1133,1143,
1145,1160,1163,1165,1192,1197,1439,1445,1469,1476,1478,1496,1497,1666,1675,
1679,1706,1714,1982,2010,2031,2033,2034,2038,2149,2386,2406,2611],[1,3,5,6,7,
8,10,23,26,28,30,32,34,35,41,42,45,46,49,50,51,52,53,55,56,57,58,59,70,74,136,
138,141,154,157,162,164,166,168,175,177,181,183,184,185,186,187,191,194,213,
214,215,218,219,220,221,224,225,226,228,229,230,231,232,233,234,235,248,251,
311,315,317,325,326,353,480,484,487,494,496,528,530,540,553,555,557,558,559,
560,564,577,579,580,581,582,584,598,603,622,623,624,625,626,627,637,638,643,
644,645,660,665,808,817,819,820,834,841,873,1058,1070,1072,1079,1084,1116,
1118,1119,1130,1132,1133,1148,1150,1166,1170,1194,1202,1219,1220,1439,1447,
1469,1476,1478,1496,1497,1666,1676,1680,1708,1716,1983,2010,2031,2033,2034,
2040,2150,2386,2408,2612],[1,3,5,6,7,8,12,23,26,28,30,32,34,35,41,42,45,46,49,
50,51,52,53,55,56,57,58,59,80,136,138,141,154,157,162,164,166,168,175,177,181,
183,184,185,186,187,191,194,213,214,215,218,219,220,221,224,225,226,228,229,
230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,249,
250,252,253,319,355,358,360,361,480,484,487,494,496,528,530,540,553,555,557,
558,559,560,564,577,579,580,581,582,584,591,593,595,596,597,599,600,601,602,
622,623,624,625,626,627,629,630,631,632,633,634,635,636,639,640,643,644,645,
646,648,649,650,652,653,654,655,656,657,658,659,661,662,663,664,666,667,668,
669,823,878,884,891,892,893,894,896,897,1058,1070,1072,1076,1080,1083,1116,
1118,1119,1130,1132,1133,1142,1144,1146,1147,1149,1151,1159,1161,1164,1169,
1171,1173,1174,1191,1192,1193,1195,1196,1198,1199,1200,1201,1203,1214,1215,
1216,1217,1218,1221,1470,1500,1666,1673,1677,1705,1707,1713,1715,2015,2017,
2019,2045,2046,2047,2056,2057,2058,2147,2613],[1,3,5,6,7,8,13,23,26,28,30,32,
34,35,41,42,45,46,49,50,51,52,53,55,56,57,58,59,83,86,88,136,138,141,154,157,
162,164,166,168,175,177,181,183,184,185,186,187,191,194,213,214,215,218,219,
220,221,224,225,226,228,229,230,231,232,233,234,235,236,237,238,239,240,241,
242,243,244,245,246,247,249,250,252,253,320,339,344,347,359,480,484,487,494,
496,528,530,540,553,555,557,558,559,560,564,577,579,580,581,582,584,591,593,
595,596,597,599,600,601,602,622,623,624,625,626,627,629,630,631,632,633,634,
635,636,639,640,643,644,645,646,648,649,650,652,653,654,655,656,657,658,659,
661,662,663,664,666,667,668,669,827,829,832,860,879,887,889,895,1058,1070,
1072,1076,1080,1083,1116,1118,1119,1130,1132,1133,1142,1144,1146,1147,1149,
1151,1159,1161,1164,1169,1171,1173,1174,1191,1192,1193,1195,1196,1198,1199,
1200,1201,1203,1214,1215,1216,1217,1218,1221,1455,1459,1462,1499,1503,1505,
1507,1666,1673,1677,1705,1707,1713,1715,1996,2018,2043,2048,2147,2389,2614],[
1,3,5,6,7,8,13,23,26,28,30,32,34,35,43,44,45,50,51,54,55,56,57,58,83,86,88,
136,138,141,160,161,162,164,167,169,175,181,183,184,185,186,187,191,195,216,
218,220,225,227,229,231,232,236,237,238,239,240,241,242,246,249,250,320,341,
344,349,359,483,484,490,494,496,549,551,553,556,557,559,565,577,579,581,583,
591,593,595,597,599,600,629,630,631,639,646,648,649,658,659,661,827,829,832,
866,879,887,889,895,1067,1070,1073,1076,1080,1137,1139,1142,1147,1159,1162,
1169,1172,1458,1459,1465,1503,1507,1671,1673,1678,2005,2018,2159,2389,2615],[
1,3,5,6,7,8,13,21,23,24,26,27,28,29,30,32,34,35,45,50,51,55,56,57,58,81,83,84,
86,87,88,89,123,124,125,126,128,136,137,138,140,141,142,143,144,146,147,148,
162,164,171,173,175,176,179,181,183,184,185,186,187,191,218,220,225,229,231,
232,236,237,238,239,240,241,242,246,249,250,320,333,334,335,344,345,350,351,
359,438,439,440,445,449,451,453,455,456,484,486,491,492,494,496,502,507,510,
511,512,553,557,559,570,571,577,579,581,587,591,592,593,594,595,597,599,600,
629,630,631,639,646,647,648,649,658,659,661,825,827,828,829,831,832,833,851,
879,885,886,887,888,889,890,895,999,1002,1004,1012,1014,1021,1023,1026,1027,
1070,1074,1076,1078,1080,1081,1094,1099,1101,1102,1142,1143,1147,1155,1156,
1159,1160,1169,1175,1176,1449,1450,1451,1459,1461,1466,1467,1501,1503,1504,
1507,1510,1511,1512,1513,1610,1614,1616,1632,1634,1673,1675,1682,1684,1694,
1696,1988,2018,2049,2133,2389,2391,2393,2616],[1,3,4,5,6,7,8,13,22,23,25,26,
28,30,31,32,33,34,35,36,37,38,39,40,45,50,51,55,56,57,58,82,83,85,86,88,129,
130,131,132,133,134,135,136,138,139,141,149,150,151,152,162,163,164,165,175,
181,183,184,185,186,187,188,189,190,191,200,205,207,208,218,220,225,229,231,
232,236,237,238,239,240,241,242,246,248,249,250,320,336,337,338,343,344,359,
460,461,462,467,468,471,472,474,475,477,479,484,485,494,496,517,522,523,553,
557,559,561,577,579,581,591,593,595,597,598,599,600,607,610,614,615,616,617,
629,630,631,637,639,646,648,649,658,659,660,661,826,827,829,830,832,856,879,
887,889,895,1030,1033,1034,1043,1045,1051,1053,1054,1055,1070,1076,1079,1080,
1107,1112,1113,1142,1147,1148,1159,1169,1170,1181,1183,1187,1188,1452,1453,
1454,1459,1460,1503,1507,1518,1640,1643,1646,1659,1665,1673,1676,1703,1993,
2018,2053,2141,2389,2392,2617],[1,3,5,6,7,8,13,23,26,27,28,29,30,32,34,35,42,
45,46,47,50,51,52,53,55,56,57,58,59,83,84,86,88,89,136,137,138,141,142,155,
159,162,164,166,168,170,171,173,174,175,178,179,180,181,183,184,185,186,187,
191,193,194,214,215,218,219,220,221,222,225,226,228,229,231,232,233,234,235,
236,237,238,239,240,241,242,244,245,246,247,249,250,320,340,344,348,350,352,
359,481,484,488,491,493,494,496,532,534,547,553,557,559,564,568,570,571,572,
573,575,577,579,581,587,588,591,593,594,595,597,599,600,624,626,629,630,631,
633,634,639,641,646,647,648,649,650,651,653,654,656,658,659,661,827,828,829,
832,833,863,879,886,887,889,890,895,1061,1070,1074,1075,1076,1080,1081,1121,
1123,1136,1142,1145,1147,1152,1153,1155,1157,1158,1159,1163,1165,1169,1175,
1177,1178,1196,1197,1208,1209,1456,1459,1463,1466,1468,1502,1503,1506,1507,
1512,1514,1515,1668,1673,1679,1682,1685,1709,1719,1721,1723,1999,2018,2051,
2151,2389,2393,2618],[1,3,5,6,7,8,13,23,26,28,30,32,34,35,44,45,48,50,51,54,
55,56,57,58,83,86,88,136,138,141,156,158,162,164,167,169,175,181,183,184,185,
186,187,191,196,217,218,220,223,225,229,231,232,236,237,238,239,240,241,242,
246,249,250,251,320,342,344,346,359,482,484,489,494,496,536,538,544,553,557,
559,565,577,579,581,591,593,595,597,599,600,603,628,629,630,631,638,639,642,
646,648,649,658,659,661,665,827,829,832,869,879,887,889,895,1064,1070,1076,
1080,1084,1126,1128,1135,1142,1147,1150,1159,1166,1169,1204,1207,1210,1212,
1457,1459,1464,1503,1507,1670,1673,1680,1711,1717,2002,2018,2054,2155,2389,
2619],[1,2,3,4,5,6,7,8,10,14,15,16,17,18,19,20,22,24,25,26,29,30,31,32,33,34,
35,36,37,38,39,40,41,42,43,44,45,46,48,50,51,52,53,54,55,56,59,70,72,73,74,93,
94,97,98,99,100,101,103,104,106,109,110,113,114,115,116,117,118,120,121,130,
132,133,134,135,143,145,146,148,149,150,152,153,154,156,158,159,160,161,162,
163,164,165,166,167,168,169,179,180,181,182,183,188,189,190,191,192,194,195,
196,197,198,199,200,201,202,203,205,210,211,212,213,214,215,216,217,218,219,
223,225,226,227,228,235,309,310,312,313,314,315,316,317,318,323,324,325,353,
378,380,382,383,386,387,388,389,390,395,397,398,400,401,404,409,411,413,416,
419,420,423,430,431,432,435,436,463,466,467,468,469,470,472,473,475,478,479,
497,499,500,501,502,504,505,506,509,510,512,513,516,517,519,520,525,527,528,
529,530,531,536,537,538,539,544,545,547,548,549,550,551,552,553,554,555,556,
561,562,563,564,565,566,567,587,588,589,590,604,606,612,613,622,624,801,802,
803,805,806,807,813,814,815,816,817,818,821,834,871,872,873,935,937,939,942,
944,945,946,951,953,954,956,957,960,970,971,979,982,986,995,1036,1037,1042,
1043,1044,1047,1048,1050,1085,1086,1090,1091,1092,1093,1094,1096,1097,1098,
1103,1106,1109,1110,1116,1117,1120,1126,1127,1129,1134,1136,1137,1138,1141,
1430,1431,1432,1436,1437,1441,1442,1471,1472,1473,1474,1475,1476,1477,1478,
1479,1494,1495,1496,1576,1579,1581,1584,1585,1596,1597,1648,1649,1657,1658,
1687,1688,1691,1692,1977,2020,2021,2022,2023,2024,2025,2026,2027,2028,2030,
2031,2032,2035,2124,2395,2396,2397,2398,2399,2400,2402,2620],[1,3,5,6,7,8,10,
24,26,29,30,32,34,35,41,42,45,46,50,51,52,53,55,56,57,58,59,70,74,143,146,148,
154,159,162,164,166,168,179,180,181,183,186,187,191,194,213,214,215,218,219,
220,221,225,226,228,231,232,233,234,235,236,237,238,239,240,241,242,243,244,
245,246,247,313,315,317,325,326,353,497,502,504,510,512,528,530,547,553,555,
559,560,564,587,588,591,592,593,594,595,596,622,623,624,626,627,629,630,631,
632,633,634,635,636,646,647,648,649,650,651,652,653,654,655,656,657,815,817,
820,834,838,839,840,873,1086,1094,1096,1101,1102,1116,1119,1136,1142,1143,
1144,1145,1146,1175,1176,1177,1178,1191,1192,1193,1196,1197,1198,1199,1442,
1444,1445,1471,1476,1478,1496,1497,1688,1694,1695,1705,1706,1719,1720,1984,
2024,2031,2034,2037,2038,2039,2163,2398,2405,2406,2621],[1,3,5,6,7,8,10,22,26,
30,33,34,41,42,45,46,48,50,52,54,55,56,57,58,59,70,74,130,132,135,154,156,162,
165,166,169,184,185,186,187,196,213,214,218,219,220,221,223,229,230,231,232,
233,234,237,238,240,241,242,244,245,246,247,248,249,250,251,252,253,310,315,
318,325,326,353,463,467,469,474,477,528,531,536,539,557,558,559,560,597,598,
599,600,601,602,603,622,623,625,626,627,630,631,633,634,635,636,637,638,639,
640,642,658,659,660,661,662,663,664,665,666,667,668,669,806,819,820,834,839,
840,841,842,873,1036,1045,1049,1054,1055,1056,1057,1118,1119,1128,1147,1148,
1149,1150,1151,1192,1193,1194,1195,1200,1201,1202,1203,1210,1211,1212,1213,
1438,1446,1447,1473,1476,1479,1496,1497,1650,1659,1660,1707,1708,1711,1712,
1979,2027,2033,2034,2038,2039,2040,2041,2145,2403,2407,2408,2622],[1,3,4,5,6,
7,8,10,25,26,30,31,34,36,37,38,39,40,41,42,44,45,46,50,52,55,56,57,58,59,70,
73,74,149,150,152,154,158,162,163,166,167,184,185,186,187,189,197,199,200,201,
202,205,207,208,213,214,217,218,219,220,221,229,230,231,232,233,234,237,238,
240,241,242,244,245,246,247,248,249,250,251,252,253,314,315,316,324,325,326,
353,513,517,520,522,523,528,529,544,557,558,559,560,562,597,598,599,600,601,
602,603,604,606,607,608,610,614,615,616,617,618,619,620,621,622,623,625,626,
627,628,630,631,633,634,635,636,637,638,639,640,658,659,660,661,662,663,664,
665,666,667,668,669,816,819,820,834,837,839,840,841,842,872,873,1103,1107,
1111,1112,1113,1114,1115,1118,1119,1135,1147,1148,1149,1150,1151,1179,1180,
1181,1182,1183,1184,1187,1188,1189,1190,1192,1193,1194,1195,1200,1201,1202,
1203,1204,1205,1206,1207,1443,1446,1447,1475,1476,1477,1484,1485,1495,1496,
1497,1700,1703,1704,1707,1708,1717,1718,1726,1727,1728,1729,1985,2030,2033,
2034,2036,2038,2039,2040,2041,2165,2404,2407,2408,2409,2410,2623],[1,2,3,4,7,
9,10,11,12,13,14,15,19,23,24,25,32,33,38,61,62,63,64,67,68,70,71,72,73,74,75,
76,77,78,79,80,81,82,85,86,87,92,93,99,108,109,139,140,254,255,256,257,258,
264,265,268,272,274,276,279,282,309,311,312,313,314,317,318,321,323,324,327,
330,332,334,337,375,670,671,672,673,674,675,676,677,678,679,680,683,684,687,
688,689,690,691,692,693,694,695,696,697,698,719,740,800,801,803,810,811,812,
813,898,1222,1225,1227,1229,1232,1234,1235,1236,1237,1238,1244,1246,1247,1248,
1251,1252,1257,1283,1284,1285,1286,1287,1288,1289,1291,1429,1521,1522,1523,
1524,1525,1526,1527,1735,1744,1745,1749,1752,1761,1775,1776,1834,2059,2060,
2061,2062,2063,2064,2065,2066,2067,2068,2069,2170,2417,2418,2419,2421,2422,
2423,2424,2624],[1,2,3,4,9,10,11,12,13,14,15,21,22,23,24,25,61,63,64,67,68,70,
71,72,73,75,76,81,91,92,93,102,103,123,129,254,255,256,257,258,264,265,268,
279,282,294,295,298,299,303,304,305,306,307,308,309,310,311,312,313,314,321,
322,367,671,672,673,674,675,676,679,687,691,715,719,720,731,748,751,757,758,
781,782,788,789,790,793,797,799,800,801,804,805,898,1229,1234,1235,1236,1237,
1238,1239,1240,1241,1242,1275,1276,1278,1279,1280,1281,1312,1334,1405,1521,
1524,1760,1761,1762,1763,1764,1765,1766,1767,1815,1816,1818,1820,1821,1822,
1825,1826,2060,2070,2191,2193,2235,2420,2425,2426,2625],[1,2,3,5,6,9,10,11,12,
13,14,16,17,26,41,42,43,61,62,63,64,65,66,67,69,70,71,72,75,83,94,114,115,154,
160,254,255,256,257,258,264,265,266,267,269,271,278,281,284,285,286,287,288,
290,309,339,349,353,354,355,383,670,671,672,673,674,675,677,678,681,685,687,
689,717,723,725,726,728,733,744,745,752,753,760,764,834,835,871,874,898,1222,
1223,1224,1230,1234,1238,1243,1259,1261,1265,1268,1273,1274,1292,1293,1321,
1330,1472,1521,1522,1523,1734,1737,1738,1754,1757,1768,1769,1770,1771,1808,
1809,1810,1812,1842,2059,2071,2167,2194,2223,2427,2429,2431,2626],[1,3,5,6,9,
10,11,12,13,23,26,28,41,42,49,64,65,66,67,69,70,71,81,83,84,136,154,157,254,
255,256,257,258,281,282,283,284,285,288,290,292,293,311,333,339,340,353,354,
355,480,673,675,677,678,679,681,682,685,691,752,754,755,760,762,834,835,849,
898,1236,1243,1244,1245,1249,1253,1259,1260,1265,1270,1273,1274,1292,1293,
1358,1469,1522,1524,1768,1769,1770,1772,1773,1782,1788,1810,1839,2062,2071,
2195,2197,2427,2428,2627],[1,2,3,4,5,6,9,10,11,12,13,15,16,18,26,36,41,42,43,
44,61,63,64,65,66,67,68,69,70,71,72,73,75,76,79,83,85,104,114,116,154,161,197,
198,254,255,256,257,258,266,268,270,278,279,280,281,284,285,286,287,288,289,
290,291,312,321,339,343,346,353,354,355,413,671,672,673,674,675,676,677,678,
681,683,685,687,688,693,697,725,727,729,744,746,747,752,756,760,761,763,765,
766,834,835,859,871,872,874,875,877,898,1230,1232,1233,1235,1237,1243,1246,
1259,1261,1263,1265,1266,1273,1274,1292,1293,1332,1352,1474,1480,1521,1522,
1526,1754,1756,1758,1768,1769,1770,1774,1800,1804,1808,1809,1810,1811,1812,
1813,1843,1847,2061,2071,2188,2196,2198,2222,2427,2429,2432,2628],[1,3,5,6,9,
10,11,12,13,24,26,29,41,42,64,65,66,70,81,83,84,143,154,159,254,255,256,257,
258,281,284,285,313,333,339,340,353,354,355,497,673,679,681,682,691,752,834,
849,898,1247,1249,1250,1259,1260,1273,1274,1292,1293,1471,1524,1768,1778,1782,
1785,1839,2065,2071,2204,2428,2629],[1,2,3,5,6,9,10,11,12,13,14,16,17,26,41,
42,43,61,63,64,65,66,70,72,75,81,83,84,94,114,115,154,160,254,255,256,257,258,
265,266,267,278,281,284,285,286,287,309,333,339,340,353,354,355,383,671,672,
673,674,679,681,682,687,691,723,725,726,744,745,752,753,834,849,871,874,898,
1229,1230,1231,1234,1249,1259,1260,1261,1273,1274,1292,1293,1330,1472,1521,
1524,1750,1754,1755,1768,1782,1783,1808,1809,1812,1839,2060,2071,2183,2194,
2428,2429,2630],[1,3,4,5,6,9,10,11,12,13,25,26,36,37,41,42,44,64,65,66,70,73,
77,78,81,82,83,84,149,154,158,197,199,254,255,256,257,258,281,284,285,314,327,
328,329,333,336,339,340,341,342,353,354,355,513,673,679,680,681,682,690,691,
692,696,752,834,843,844,845,849,850,854,855,872,876,898,1248,1249,1255,1256,
1259,1260,1262,1273,1274,1286,1292,1293,1475,1486,1524,1525,1768,1780,1782,
1784,1794,1795,1839,1840,1841,1846,2066,2071,2208,2263,2428,2430,2631],[1,2,3,
4,5,6,9,10,11,12,13,15,16,18,26,36,41,42,43,44,61,62,64,65,66,68,70,72,73,76,
79,81,83,84,85,104,114,116,154,161,197,198,254,255,256,257,258,266,268,270,
271,274,275,281,284,285,286,289,291,312,333,339,340,343,346,349,353,354,355,
413,670,673,674,676,679,681,682,683,688,689,691,693,697,725,727,729,733,736,
737,752,756,761,763,834,849,852,859,862,871,872,875,877,898,1223,1225,1226,
1237,1249,1259,1260,1263,1266,1268,1273,1274,1284,1292,1293,1332,1346,1474,
1523,1524,1526,1737,1739,1740,1768,1782,1789,1800,1802,1809,1811,1813,1839,
1842,1843,1847,2063,2071,2172,2196,2264,2428,2431,2432,2632],[1,3,5,6,7,8,9,
10,11,12,13,26,32,35,41,42,45,46,51,53,64,65,66,70,74,80,81,83,84,86,87,88,89,
154,164,168,213,215,254,255,256,257,258,281,284,285,317,333,334,335,339,340,
344,345,347,348,350,351,352,353,354,355,530,673,679,681,682,684,686,691,694,
695,698,752,834,849,851,853,860,861,863,864,873,878,898,1249,1251,1254,1259,
1260,1264,1267,1269,1271,1273,1274,1288,1292,1293,1478,1490,1524,1527,1768,
1782,1786,1790,1801,1803,1839,1844,1845,1848,2067,2071,2212,2265,2428,2433,
2633],[1,3,5,6,9,10,11,12,13,26,33,41,42,54,64,65,66,70,81,83,84,154,165,169,
254,255,256,257,258,281,284,285,318,333,339,340,353,354,355,531,673,679,681,
682,691,752,834,849,898,1249,1252,1259,1260,1272,1273,1274,1292,1293,1479,
1524,1768,1782,1787,1791,1839,2068,2071,2213,2428,2634],[1,2,4,5,7,8,9,10,11,
12,13,16,19,20,36,41,43,44,45,46,61,62,65,72,73,74,77,78,80,82,83,86,87,88,89,
114,117,118,197,203,213,216,254,255,256,257,258,266,271,272,273,276,277,284,
286,323,328,336,339,341,342,344,345,347,348,349,353,354,355,431,670,674,680,
681,684,686,689,690,692,694,695,696,698,725,733,734,735,738,739,844,848,854,
858,860,861,866,870,871,872,873,876,878,898,1223,1227,1228,1255,1259,1262,
1264,1267,1268,1273,1274,1283,1285,1292,1293,1345,1347,1494,1523,1525,1527,
1737,1741,1742,1794,1798,1801,1806,1809,1840,1841,1842,1844,1845,1846,1848,
2064,2071,2173,2266,2268,2430,2431,2433,2635],[1,4,5,7,8,9,10,11,12,13,36,38,
40,41,44,45,46,65,68,73,74,76,77,78,79,80,82,83,85,86,87,88,89,197,200,202,
213,217,254,255,256,257,258,284,289,291,324,328,330,331,332,336,337,338,339,
341,342,343,344,345,346,347,348,353,354,355,604,676,680,681,683,684,686,688,
690,692,693,694,695,696,697,698,761,844,846,847,854,856,857,859,860,861,865,
867,868,869,872,873,875,876,877,878,898,1255,1257,1258,1259,1262,1263,1264,
1266,1267,1273,1274,1287,1289,1291,1292,1293,1488,1492,1495,1498,1525,1526,
1527,1794,1796,1797,1800,1801,1805,1807,1811,1813,1840,1841,1843,1844,1845,
1846,1847,1848,2069,2071,2220,2267,2269,2270,2430,2432,2433,2636],[1,3,5,6,9,
10,11,12,13,21,26,27,41,42,47,65,67,69,70,71,83,124,154,155,254,255,256,257,
258,284,288,290,294,296,301,303,304,305,306,307,308,339,353,354,355,356,357,
441,675,681,760,767,770,783,796,834,835,898,1239,1259,1273,1274,1275,1276,
1277,1278,1279,1280,1281,1292,1293,1364,1386,1417,1418,1419,1420,1421,1810,
1814,2070,2071,2224,2228,2229,2244,2245,2251,2252,2637],[1,3,7,9,10,11,12,13,
21,30,32,55,67,70,71,74,126,181,254,255,256,257,258,294,303,304,305,306,307,
308,315,317,325,359,360,451,675,785,791,794,817,898,1239,1275,1276,1278,1279,
1280,1281,1290,1396,1410,1415,1424,1425,1823,2070,2240,2246,2247,2249,2250,
2638],[1,2,3,4,5,6,9,15,16,18,22,24,26,29,36,41,42,43,44,48,60,63,65,67,68,69,
103,104,106,114,116,130,143,154,156,159,161,197,198,259,260,261,262,263,278,
279,280,284,287,288,289,290,291,297,298,299,302,364,409,413,416,463,466,497,
499,699,700,701,702,703,704,705,706,707,708,709,710,711,744,746,747,750,751,
760,761,765,766,769,772,773,774,902,903,904,905,906,979,1294,1295,1296,1297,
1298,1299,1300,1301,1302,1303,1304,1305,1306,1352,1355,1357,1366,1367,1378,
1379,1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542,1849,
1850,1851,1852,1853,1854,1855,1905,2073,2074,2075,2076,2077,2078,2079,2080,
2081,2082,2083,2084,2085,2272,2435,2436,2437,2438,2439,2440,2441,2639],[1,2,3,
4,5,6,10,15,16,18,22,24,26,29,36,41,42,43,44,48,60,70,72,73,103,104,106,114,
116,130,143,154,156,159,161,197,198,259,260,261,262,263,310,312,313,353,365,
409,413,416,463,466,497,499,699,700,701,702,703,704,705,706,707,708,709,710,
711,805,834,871,872,907,908,909,979,1294,1295,1296,1297,1298,1299,1300,1301,
1302,1303,1304,1305,1306,1471,1473,1474,1543,1544,1545,1547,1849,1850,1851,
1852,1853,1854,1855,2021,2086,2087,2089,2090,2272,2442,2443,2444,2640],[1,2,3,
4,5,6,9,14,15,16,17,18,21,22,23,24,25,26,27,28,29,36,37,60,61,63,64,65,66,67,
68,69,91,92,93,94,95,96,97,102,103,104,105,106,123,124,125,129,130,131,136,
137,143,144,149,259,260,261,262,263,264,265,266,267,268,269,270,278,279,280,
281,282,283,288,289,292,303,367,368,369,372,373,378,379,405,409,438,460,699,
700,701,702,703,704,705,708,717,719,721,723,724,727,731,746,754,781,782,783,
784,913,1295,1297,1298,1299,1302,1323,1334,1335,1336,1380,1383,1549,1850,1889,
2093,2094,2095,2096,2097,2446,2447,2448,2449,2450,2641],[1,2,3,4,5,6,9,15,16,
18,21,25,26,27,36,37,41,42,43,44,47,60,61,64,65,66,68,102,104,105,114,116,124,
149,154,155,158,161,197,198,199,259,260,261,262,263,266,268,270,281,284,285,
286,289,291,303,405,413,415,441,444,513,514,699,700,701,703,706,707,708,709,
710,725,727,729,731,752,756,761,763,783,973,1294,1295,1296,1300,1303,1305,
1306,1332,1335,1386,1389,1549,1849,1891,2093,2096,2447,2451,2454,2642],[1,2,3,
4,5,6,9,15,16,18,21,25,26,27,28,29,36,37,42,43,48,49,60,61,64,65,66,68,69,102,
104,105,115,124,125,149,156,157,159,160,170,198,204,259,260,261,262,263,266,
268,270,281,283,285,286,287,289,290,293,303,405,414,416,442,443,515,516,699,
700,701,703,705,708,711,726,727,728,731,753,755,763,766,783,784,974,1295,1301,
1304,1333,1335,1387,1388,1549,1851,1892,2093,2096,2097,2447,2452,2453,2643],[
1,2,3,5,6,9,14,16,17,21,22,26,27,41,42,43,47,48,60,61,63,64,65,66,91,94,95,
114,115,119,124,130,154,155,156,160,260,261,262,265,266,267,278,281,284,285,
286,287,303,368,383,384,441,442,463,464,702,703,706,707,711,723,725,726,744,
745,752,753,781,783,916,1299,1300,1301,1330,1380,1386,1387,1549,1852,1912,
2094,2096,2449,2451,2453,2644],[1,2,3,5,6,9,14,16,17,21,22,26,27,28,29,42,43,
44,49,60,61,63,64,65,66,69,91,94,95,115,116,124,125,130,157,158,159,161,170,
260,261,262,265,266,267,278,281,283,285,286,290,291,293,303,368,385,386,443,
444,465,466,702,703,705,709,710,723,728,729,745,747,755,756,781,783,784,917,
1299,1303,1304,1331,1380,1388,1389,1549,1853,1913,2094,2096,2097,2449,2452,
2454,2645],[1,3,5,6,9,21,23,24,26,27,28,29,41,42,47,49,60,64,65,66,67,69,123,
124,125,136,137,143,144,154,155,157,159,170,260,261,262,281,282,283,284,285,
288,290,292,293,303,438,441,443,480,481,497,498,703,704,705,706,707,752,754,
755,760,762,782,783,784,997,1300,1302,1304,1358,1383,1386,1388,1549,1854,1920,
2095,2096,2097,2450,2451,2452,2646],[1,3,5,6,9,21,23,24,26,27,28,29,43,44,48,
60,64,65,66,67,69,123,124,125,136,137,143,144,156,158,160,161,260,261,262,281,
282,283,286,287,288,291,292,303,438,442,444,482,483,499,500,703,704,705,709,
710,711,753,754,756,764,765,782,783,784,998,1301,1302,1303,1359,1383,1387,
1389,1549,1855,1921,2095,2096,2097,2450,2453,2454,2647],[1,3,4,5,6,13,22,23,
25,26,28,36,37,41,42,44,48,49,60,77,81,82,83,84,129,130,131,136,149,154,156,
157,158,197,199,204,260,261,262,320,327,328,329,333,336,339,340,341,342,460,
463,465,480,482,513,515,702,703,706,707,711,826,827,843,844,845,849,850,854,
855,1028,1299,1300,1301,1452,1455,1457,1486,1550,1852,1991,2098,2099,2455,
2458,2459,2648],[1,2,3,4,5,6,7,8,13,15,16,18,19,20,22,23,24,25,26,28,29,31,32,
35,36,37,38,39,40,45,51,60,62,77,81,82,83,84,85,86,87,88,89,103,104,106,107,
108,111,112,117,122,129,130,131,133,134,136,140,142,143,145,147,149,153,163,
164,176,200,259,260,261,262,263,271,272,273,274,275,276,277,320,327,328,329,
330,331,333,334,335,336,337,338,343,344,345,350,351,409,410,412,417,418,427,
428,460,468,486,501,699,700,701,702,703,704,705,708,732,734,736,738,740,741,
742,743,826,827,831,833,843,846,851,856,981,1295,1297,1298,1299,1302,1340,
1342,1344,1348,1452,1461,1550,1850,1900,2098,2099,2100,2101,2102,2455,2456,
2457,2460,2461,2649],[1,3,4,5,6,8,13,22,23,25,26,28,29,35,36,37,43,44,46,53,
60,77,81,82,83,84,88,89,129,130,131,136,142,149,159,161,167,168,178,202,203,
260,261,262,320,327,328,329,333,335,336,346,347,348,349,352,460,466,470,488,
490,519,521,702,703,705,709,710,826,827,833,843,847,848,852,853,857,858,1032,
1299,1303,1304,1452,1463,1465,1487,1550,1853,1995,2098,2099,2102,2455,2462,
2463,2650],[1,2,3,4,5,6,13,15,16,18,23,26,28,31,36,39,41,42,43,44,49,60,62,81,
83,84,85,104,107,111,114,116,136,154,157,161,163,167,197,198,201,259,260,261,
262,263,271,274,275,320,333,339,340,343,346,349,413,417,421,480,490,529,541,
699,700,701,703,706,707,708,709,710,732,733,736,737,827,849,852,859,862,984,
1294,1295,1296,1300,1303,1305,1306,1340,1346,1455,1465,1550,1849,1897,2099,
2100,2458,2460,2462,2651],[1,3,5,6,7,8,13,23,24,26,28,29,32,35,41,42,45,46,49,
51,53,60,81,83,84,86,87,88,89,136,140,142,143,147,154,157,159,164,168,176,178,
213,215,260,261,262,320,333,334,335,339,340,344,345,347,348,350,351,352,480,
486,488,497,503,530,542,703,704,705,706,707,827,831,833,849,851,853,860,861,
863,864,1060,1300,1302,1304,1455,1461,1463,1490,1550,1854,1998,2099,2101,2102,
2458,2461,2463,2652],[1,2,3,4,5,6,8,13,15,16,18,23,26,28,29,31,35,36,39,44,46,
48,53,60,62,81,83,84,85,88,89,104,107,111,118,136,142,156,158,159,163,168,178,
202,210,259,260,261,262,263,271,274,275,320,333,335,341,342,343,347,348,352,
416,417,422,482,488,537,545,699,700,701,703,705,708,711,732,735,736,739,827,
833,850,853,865,868,993,1295,1301,1304,1340,1350,1457,1463,1550,1851,1902,
2099,2100,2102,2459,2460,2463,2653],[1,3,5,6,7,8,13,23,24,26,28,29,32,35,43,
44,45,48,51,60,81,83,84,86,87,88,89,136,140,142,143,147,156,158,161,164,167,
176,216,217,260,261,262,320,333,334,335,341,342,344,345,346,349,350,351,482,
486,490,499,505,538,546,703,704,705,709,710,711,827,831,833,850,851,852,866,
867,869,870,1066,1301,1302,1303,1457,1461,1465,1491,1550,1855,2004,2099,2101,
2102,2459,2461,2462,2654],[1,7,10,12,13,55,74,80,86,90,236,257,325,359,360,
695,712,713,714,838,887,891,1290,1529,1551,1836,2273,2276,2277,2278,2655],[1,
4,5,10,12,13,36,41,44,73,77,83,90,197,257,328,339,341,353,355,362,363,690,712,
713,714,844,872,899,900,901,1292,1307,1308,1309,1528,1551,1840,1856,1857,1858,
1859,1860,2103,2274,2275,2464,2656],[1,7,10,12,13,55,57,74,87,90,238,257,325,
326,359,360,694,712,713,714,840,888,1290,1551,1837,2279,2657],[1,3,10,12,13,
21,23,24,70,81,90,123,257,304,306,308,311,313,319,320,691,712,713,714,789,797,
825,1280,1282,1551,1826,1828,2280,2658],[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,
47,48,49,50,51,52,53,54,55,56,57,58,59,91,92,93,94,95,96,97,98,99,100,101,102,
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,
236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,367,
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,
653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,913,914,
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,
1218,1219,1220,1221,1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,
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,
1728,1729,1730,1731,1732,1733,2104,2105,2106,2107,2108,2109,2110,2111,2112,
2113,2114,2115,2116,2117,2118,2119,2120,2121,2122,2123,2124,2125,2126,2127,
2128,2129,2130,2131,2132,2133,2134,2135,2136,2137,2138,2139,2140,2141,2142,
2143,2144,2145,2146,2147,2148,2149,2150,2151,2152,2153,2154,2155,2156,2157,
2158,2159,2160,2161,2162,2163,2164,2165,2166,2465,2466,2467,2468,2469,2470,
2471,2472,2473,2474,2475,2476,2477,2478,2479,2659],[1,3,9,10,11,12,13,21,60,
64,67,70,71,254,255,256,257,258,260,294,303,304,305,306,307,308,364,365,366,
673,675,677,678,898,904,908,911,1239,1275,1276,1278,1279,1280,1281,1310,1522,
1549,1862,2070,2285,2286,2287,2660],[1,2,3,4,5,6,7,8,9,13,14,15,16,17,18,19,
20,23,24,25,26,28,29,32,33,35,36,37,38,40,41,42,43,44,45,46,49,51,53,54,61,62,
63,64,65,66,67,68,69,77,81,82,83,84,85,86,87,88,89,92,93,94,96,97,99,101,104,
108,109,112,113,114,115,116,117,118,121,122,136,139,140,142,143,147,149,151,
154,157,158,159,160,161,164,165,168,169,176,178,197,198,199,200,202,203,206,
213,215,216,217,255,264,265,266,267,268,269,270,271,272,273,274,275,276,277,
278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,327,328,329,
330,331,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,
350,351,352,372,375,377,378,381,383,385,386,388,390,394,413,414,418,419,422,
423,431,433,480,483,485,486,488,489,497,500,503,506,513,516,518,521,530,531,
542,543,546,548,551,552,604,605,670,671,677,679,680,681,682,683,684,685,686,
717,719,721,723,724,725,726,727,728,729,733,734,735,736,737,738,739,740,741,
742,743,744,745,746,747,752,753,754,755,756,760,761,762,763,764,765,766,843,
844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,
863,864,865,866,867,868,869,870,925,928,930,935,938,946,950,985,986,988,989,
1059,1060,1068,1069,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,
1233,1243,1244,1245,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,
1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,
1321,1323,1325,1330,1331,1332,1333,1345,1346,1347,1348,1349,1350,1351,1352,
1353,1358,1359,1486,1487,1488,1489,1490,1491,1492,1493,1566,1734,1735,1736,
1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,1751,
1752,1753,1754,1755,1756,1757,1758,1759,1769,1771,1772,1773,1774,1775,1776,
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,
1807,1879,1903,2167,2168,2169,2170,2171,2172,2173,2174,2175,2176,2177,2178,
2179,2180,2181,2182,2183,2184,2185,2186,2187,2188,2189,2197,2199,2200,2201,
2202,2203,2204,2205,2206,2207,2208,2209,2210,2211,2212,2213,2214,2215,2216,
2217,2218,2219,2220,2221,2480,2481,2482,2483,2484,2485,2486,2487,2488,2489,
2490,2497,2498,2499,2500,2661],[1,2,3,4,5,6,9,13,14,15,16,17,18,21,22,23,24,
25,26,27,28,29,36,37,41,42,43,44,47,48,49,61,63,64,65,66,67,68,69,81,83,84,91,
92,93,94,95,96,97,102,103,104,105,106,114,115,116,119,123,124,125,129,130,131,
136,137,143,144,149,154,155,156,157,158,159,160,161,170,197,198,199,204,255,
264,265,266,267,268,269,270,278,279,280,281,282,283,284,285,286,287,288,289,
290,291,292,293,294,295,296,297,298,299,300,301,302,303,306,333,339,340,367,
368,369,372,373,378,379,383,384,385,386,405,409,413,414,415,416,438,441,442,
443,444,460,463,464,465,466,480,481,482,483,497,498,499,500,513,514,515,516,
671,679,681,682,715,717,718,719,720,721,722,723,724,725,726,727,728,729,730,
731,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,
762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,
781,782,783,784,796,797,798,849,913,916,917,925,926,935,936,973,974,979,980,
997,998,1028,1029,1229,1230,1231,1249,1259,1260,1261,1275,1311,1312,1313,1321,
1322,1323,1324,1325,1326,1327,1328,1330,1331,1332,1333,1334,1335,1336,1352,
1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,
1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1383,1386,
1387,1388,1389,1419,1422,1423,1552,1750,1754,1755,1760,1782,1783,1814,1815,
1816,1817,1864,1865,1866,1879,1880,1881,1882,1889,1891,1892,1904,1905,1906,
1907,1908,1909,1910,1911,1912,1913,1920,1921,1965,2183,2190,2191,2192,2228,
2230,2231,2232,2233,2234,2289,2309,2491,2492,2493,2505,2506,2508,2509,2662],[
1,2,3,4,5,6,9,10,11,14,15,16,17,18,21,22,23,24,25,26,27,28,29,36,37,41,42,43,
44,47,48,49,61,63,64,65,66,67,68,69,70,71,72,73,75,76,91,92,93,94,95,96,97,
102,103,104,105,106,114,115,116,119,123,124,125,129,130,131,136,137,143,144,
149,154,155,156,157,158,159,160,161,170,197,198,199,204,254,264,265,266,267,
268,269,270,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,
294,295,296,297,298,299,300,301,302,304,307,309,310,311,312,313,314,321,322,
353,354,367,368,369,372,373,378,379,383,384,385,386,405,409,413,414,415,416,
438,441,442,443,444,460,463,464,465,466,480,481,482,483,497,498,499,500,513,
514,515,516,672,673,674,675,676,715,717,718,719,720,721,722,723,724,725,726,
727,728,729,730,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,
759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,
778,779,780,788,789,790,799,800,801,804,805,834,835,871,872,874,875,913,916,
917,925,926,935,936,973,974,979,980,997,998,1028,1029,1234,1235,1236,1237,
1238,1239,1240,1241,1242,1273,1311,1312,1313,1321,1322,1323,1324,1325,1326,
1327,1328,1330,1331,1332,1333,1352,1353,1354,1355,1356,1357,1358,1359,1360,
1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,
1376,1377,1378,1379,1405,1417,1420,1469,1471,1472,1473,1474,1475,1480,1481,
1552,1761,1762,1763,1764,1765,1766,1767,1768,1808,1809,1810,1811,1864,1865,
1866,1879,1880,1881,1882,1904,1905,1906,1907,1908,1909,1910,1911,1957,1958,
1959,1966,2008,2009,2020,2021,2193,2194,2195,2196,2222,2223,2224,2225,2226,
2227,2289,2348,2494,2495,2496,2501,2502,2503,2504,2663],[1,2,3,4,5,6,7,8,9,13,
14,15,16,17,18,19,20,21,22,25,26,27,30,31,32,33,34,35,36,37,38,39,40,45,50,51,
55,56,61,63,65,67,68,69,83,91,94,95,98,99,100,101,102,104,105,108,110,112,117,
120,122,124,126,127,128,130,132,133,134,135,149,150,152,162,163,164,165,171,
172,173,181,182,183,188,189,190,191,192,200,205,218,225,255,264,266,269,278,
279,280,288,289,294,295,296,299,300,303,306,359,368,370,371,387,388,391,392,
396,397,399,400,404,405,407,418,425,445,446,451,452,454,455,457,467,468,472,
475,476,479,517,524,553,554,561,570,574,671,681,715,717,718,731,746,748,749,
767,768,774,781,783,785,786,787,796,879,918,921,923,952,953,961,962,1012,1013,
1015,1043,1230,1275,1311,1329,1335,1338,1354,1380,1381,1382,1390,1391,1396,
1397,1399,1400,1402,1424,1559,1760,1814,1816,1867,1883,1884,1914,1916,1918,
1935,1936,1938,1967,2190,2232,2246,2290,2319,2510,2524,2664],[1,2,3,4,7,9,13,
14,15,19,21,22,23,24,25,30,31,32,33,38,55,57,61,63,64,67,68,81,91,92,93,98,99,
102,103,107,108,109,123,126,127,129,132,133,138,139,140,145,146,150,181,182,
184,186,188,207,255,264,265,268,279,282,294,295,298,299,303,306,359,367,370,
374,375,380,396,397,398,402,406,410,439,451,452,453,454,461,472,473,474,494,
495,509,510,522,671,679,715,719,720,731,748,751,757,758,781,782,785,786,797,
885,914,921,922,933,941,942,1002,1003,1033,1229,1275,1312,1329,1334,1337,1381,
1384,1396,1397,1398,1399,1424,1555,1760,1815,1816,1867,1885,1886,1916,1917,
1925,1926,1968,2191,2246,2291,2510,2525,2665],[1,2,3,4,6,7,9,13,14,15,17,18,
19,21,22,25,28,29,30,31,32,33,38,39,50,55,58,61,63,66,67,68,84,91,96,97,98,99,
102,106,108,111,113,120,125,126,127,131,132,133,150,151,153,175,176,179,181,
182,185,188,208,231,255,264,267,270,279,292,294,295,297,299,303,306,359,369,
370,393,394,395,396,397,401,403,408,428,449,451,452,454,456,471,472,477,478,
523,525,577,578,587,671,682,715,721,722,731,748,750,776,777,781,784,785,786,
798,886,920,921,924,965,969,970,1021,1022,1051,1231,1275,1313,1329,1336,1339,
1381,1394,1396,1397,1399,1401,1424,1563,1760,1816,1817,1867,1887,1888,1916,
1919,1944,1945,1969,2192,2246,2292,2510,2526,2666],[1,2,3,4,7,9,10,11,14,15,
19,21,22,23,24,25,30,31,32,33,38,55,57,61,63,64,67,68,70,71,72,73,74,75,76,91,
92,93,98,99,102,103,107,108,109,123,126,127,129,132,133,138,139,140,145,146,
150,181,182,184,186,188,207,254,264,265,268,279,282,294,295,298,299,303,304,
305,307,309,310,311,312,313,314,315,316,317,318,321,322,323,324,325,326,367,
370,374,375,380,396,397,398,402,406,410,439,451,452,453,454,461,472,473,474,
494,495,509,510,522,672,673,674,675,676,715,719,720,731,748,751,757,758,781,
782,785,786,788,789,790,791,792,793,794,795,799,800,801,802,803,804,805,806,
807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,837,914,921,922,
933,941,942,1002,1003,1033,1234,1235,1236,1237,1238,1239,1240,1241,1242,1278,
1312,1329,1334,1337,1381,1384,1396,1397,1398,1399,1405,1406,1407,1408,1409,
1410,1411,1412,1413,1414,1415,1416,1428,1429,1430,1431,1432,1433,1434,1435,
1436,1437,1438,1439,1440,1441,1442,1443,1555,1761,1762,1763,1764,1765,1766,
1767,1820,1821,1822,1823,1824,1867,1885,1886,1916,1917,1925,1926,1949,1950,
1951,1952,1953,1954,1956,1976,1977,1978,2193,2235,2236,2237,2238,2239,2240,
2241,2242,2243,2291,2345,2511,2512,2513,2514,2515,2516,2517,2667],[1,2,3,4,5,
6,9,10,11,14,15,16,17,18,21,22,23,24,25,26,27,28,29,36,37,41,42,43,44,47,48,
49,61,63,64,65,66,70,72,73,75,91,92,93,94,95,96,97,102,103,104,105,106,114,
115,116,119,123,124,125,129,130,131,136,137,143,144,149,154,155,156,157,158,
159,160,161,170,197,198,199,204,254,265,266,267,278,281,284,285,286,287,303,
304,305,309,310,311,312,313,314,353,354,356,367,368,369,372,373,378,379,383,
384,385,386,405,409,413,414,415,416,438,441,442,443,444,460,463,464,465,466,
480,481,482,483,497,498,499,500,513,514,515,516,672,673,674,723,725,726,731,
744,745,752,753,781,782,783,784,788,789,790,793,800,801,804,805,834,871,872,
874,880,913,916,917,925,926,935,936,973,974,979,980,997,998,1028,1029,1234,
1273,1278,1330,1334,1335,1336,1380,1383,1386,1387,1388,1389,1405,1417,1418,
1469,1471,1472,1473,1474,1475,1552,1768,1808,1809,1820,1821,1822,1889,1891,
1892,1912,1913,1920,1921,1957,1958,1959,1962,2008,2009,2020,2021,2194,2235,
2244,2309,2348,2518,2519,2520,2668],[1,3,5,6,7,8,9,10,11,21,23,24,26,27,28,29,
30,32,34,35,41,42,45,46,47,49,50,51,52,53,64,65,66,67,69,70,71,74,123,124,125,
126,128,136,137,138,140,141,142,143,144,146,147,148,154,155,157,159,162,164,
166,168,170,171,173,174,175,176,177,178,179,180,193,213,214,215,222,224,254,
281,282,283,284,285,288,290,292,293,303,304,305,311,313,315,317,353,354,356,
438,439,440,441,443,445,447,449,450,480,481,484,486,487,488,491,492,493,497,
498,502,503,504,507,508,528,530,532,534,540,542,547,568,569,673,675,752,754,
755,760,762,782,783,784,785,787,789,791,794,808,811,815,834,835,836,873,997,
999,1000,1005,1009,1058,1060,1061,1063,1086,1088,1236,1273,1278,1358,1383,
1384,1385,1386,1388,1390,1392,1394,1395,1407,1417,1418,1469,1471,1476,1478,
1608,1768,1810,1821,1823,1920,1922,1923,1928,1932,1957,1960,1963,2010,2013,
2024,2195,2237,2244,2323,2349,2518,2521,2669],[1,2,3,4,5,6,9,10,11,15,16,18,
21,23,24,25,26,27,28,29,31,33,36,37,39,41,42,43,44,47,49,54,61,64,65,66,68,70,
72,73,76,102,104,105,107,109,111,113,114,116,123,124,125,127,136,137,139,143,
144,145,149,151,153,154,155,157,158,159,161,163,165,167,169,170,172,197,198,
199,201,206,209,254,266,268,270,281,284,285,286,289,291,303,304,305,311,312,
313,314,316,318,353,354,356,405,406,408,413,415,417,419,421,423,424,426,438,
441,443,444,446,448,480,481,485,489,490,497,498,501,505,506,513,514,518,519,
529,531,533,535,541,543,545,548,673,674,676,725,727,729,731,752,756,761,763,
782,783,784,786,789,790,792,795,809,810,813,814,834,871,872,875,881,973,975,
977,984,986,990,992,997,1001,1006,1010,1059,1062,1085,1087,1237,1273,1278,
1332,1335,1337,1339,1383,1386,1388,1389,1391,1393,1408,1417,1418,1469,1471,
1474,1475,1477,1479,1604,1768,1809,1811,1821,1822,1824,1891,1893,1895,1920,
1924,1929,1933,1957,1959,1961,1964,2011,2012,2022,2023,2196,2238,2244,2311,
2350,2518,2520,2522,2670],[1,2,3,4,5,6,7,8,9,10,11,14,15,16,17,18,19,20,21,22,
26,27,30,31,32,33,34,35,36,39,41,42,43,44,45,46,47,48,50,51,52,53,54,63,65,67,
68,69,70,71,72,73,74,75,76,91,94,95,98,99,100,101,104,110,114,115,116,117,118,
119,120,121,124,126,127,128,130,132,133,134,135,154,155,156,160,161,162,163,
164,165,166,167,168,169,171,172,173,174,193,196,197,198,201,203,209,210,213,
214,215,216,222,223,254,278,279,280,284,287,288,289,290,291,303,304,305,309,
310,312,315,316,317,318,321,323,353,354,356,368,370,371,383,384,387,388,389,
390,391,392,413,420,429,431,432,434,441,442,445,446,447,448,463,464,467,468,
469,470,528,529,530,531,532,533,534,535,536,537,538,539,549,550,551,552,672,
675,676,744,746,747,760,761,765,766,781,783,785,786,787,788,791,792,793,794,
795,802,803,806,807,834,835,836,871,872,873,874,875,880,881,916,918,919,945,
946,947,948,1005,1006,1007,1008,1036,1037,1038,1039,1235,1273,1278,1352,1380,
1381,1382,1386,1387,1390,1391,1392,1393,1406,1414,1417,1418,1472,1473,1474,
1476,1477,1478,1479,1480,1482,1494,1557,1808,1810,1811,1820,1823,1824,1912,
1914,1915,1928,1929,1930,1931,1958,1960,1961,1962,1963,1964,2025,2026,2027,
2028,2222,2236,2244,2317,2351,2357,2519,2521,2522,2671],[1,2,3,4,5,6,7,8,9,10,
11,14,15,16,17,18,19,20,21,25,26,27,30,31,32,34,35,36,37,38,39,40,41,42,43,44,
45,46,47,50,51,52,53,61,65,67,69,70,71,72,73,74,94,98,100,102,104,105,108,110,
112,114,115,116,117,118,120,122,124,126,128,149,150,152,154,155,158,160,161,
162,163,164,166,167,168,171,173,174,189,193,197,198,199,200,201,202,203,205,
213,214,215,216,217,222,254,264,266,269,284,286,288,290,303,304,305,309,312,
314,315,316,317,323,324,353,354,356,383,387,389,396,399,405,407,413,415,418,
420,422,425,431,432,433,441,444,445,447,513,514,517,520,521,528,529,530,532,
534,544,546,549,550,562,604,605,606,674,675,717,725,728,731,760,764,783,785,
787,790,791,794,802,812,816,834,835,836,871,872,873,945,952,955,973,976,985,
991,1005,1011,1103,1104,1238,1273,1278,1321,1329,1335,1338,1386,1389,1390,
1392,1409,1417,1418,1472,1474,1475,1476,1477,1478,1494,1495,1583,1809,1810,
1822,1823,1883,1891,1894,1928,1934,1959,1960,1963,2025,2029,2030,2223,2239,
2244,2301,2352,2520,2521,2672],[1,3,5,6,7,8,9,10,11,21,26,27,30,32,34,35,41,
42,45,46,47,50,51,52,53,55,56,59,65,67,69,70,71,74,124,126,128,154,155,162,
164,166,168,171,173,174,181,183,191,193,194,213,214,215,218,219,222,225,226,
228,235,254,284,288,290,294,296,301,303,304,305,307,315,317,325,353,354,356,
441,445,447,451,455,458,528,530,532,534,553,555,564,570,572,575,622,624,641,
675,760,767,770,783,785,787,791,794,817,834,835,836,873,1005,1012,1016,1116,
1121,1239,1273,1278,1364,1386,1390,1392,1396,1400,1403,1410,1415,1417,1418,
1420,1426,1476,1478,1496,1617,1810,1823,1928,1935,1939,1960,1963,2031,2224,
2240,2244,2329,2353,2358,2521,2673],[1,3,4,5,6,7,8,9,10,11,21,25,26,27,30,31,
32,33,34,35,36,37,38,39,40,41,42,44,45,46,47,50,51,52,53,54,65,67,68,69,70,71,
73,74,76,124,126,127,128,149,150,152,154,155,158,162,163,164,165,166,167,168,
169,171,172,173,174,182,188,189,190,192,193,195,197,199,200,201,202,205,209,
211,212,213,214,215,217,222,227,254,284,288,289,290,291,295,300,303,304,305,
314,315,316,317,318,322,324,353,354,356,441,445,446,447,448,452,457,513,517,
520,524,526,528,529,530,531,532,533,534,535,544,554,556,561,562,563,565,566,
567,574,604,606,611,675,676,760,761,768,771,775,783,785,786,787,791,792,794,
795,816,818,821,834,835,836,872,873,875,881,1005,1006,1013,1017,1020,1103,
1108,1117,1120,1122,1125,1240,1273,1278,1365,1386,1390,1391,1392,1393,1397,
1402,1411,1416,1417,1418,1475,1476,1477,1478,1479,1481,1483,1495,1618,1810,
1811,1823,1824,1928,1929,1936,1940,1943,1960,1961,1963,1964,2030,2032,2035,
2225,2241,2244,2330,2354,2359,2521,2522,2674],[1,3,5,6,7,8,9,10,11,21,24,26,
27,29,30,32,34,35,41,42,45,46,47,50,51,52,53,57,58,65,67,69,70,71,74,124,126,
128,143,146,148,154,155,159,162,164,166,168,171,173,174,179,180,184,185,193,
213,214,215,220,221,222,229,230,254,284,288,290,297,298,303,304,305,313,315,
317,326,353,354,356,441,445,447,453,456,497,502,504,511,528,530,532,534,547,
557,558,571,573,623,625,675,760,769,772,783,785,787,791,794,815,819,834,835,
836,873,1005,1014,1018,1086,1095,1118,1123,1241,1273,1278,1366,1386,1390,1392,
1398,1401,1412,1417,1418,1471,1476,1478,1497,1619,1810,1823,1928,1937,1941,
1960,1963,2024,2033,2226,2242,2244,2331,2355,2521,2675],[1,3,5,6,7,8,9,10,11,
21,22,26,27,30,32,33,34,35,41,42,45,46,47,48,50,51,52,53,54,65,67,69,70,71,74,
124,126,128,130,132,135,154,155,156,162,164,165,166,168,169,171,173,174,182,
192,193,195,196,213,214,215,222,223,227,254,284,288,290,299,302,303,304,305,
310,315,317,318,353,354,356,441,445,447,454,459,463,467,469,476,528,530,531,
532,534,536,539,554,556,566,576,675,760,773,774,783,785,787,791,794,806,818,
834,835,836,873,1005,1015,1019,1036,1046,1117,1124,1242,1273,1278,1367,1386,
1390,1392,1399,1404,1413,1417,1418,1473,1476,1478,1479,1620,1810,1823,1928,
1938,1942,1960,1963,2027,2032,2227,2243,2244,2332,2356,2521,2676],[1,3,5,6,7,
8,9,13,21,26,27,30,32,34,35,41,42,45,46,47,50,51,52,53,55,56,59,65,67,69,83,
124,126,128,154,155,162,164,166,168,171,173,174,181,183,191,193,194,213,214,
215,218,219,222,225,226,228,235,255,284,288,290,294,296,301,303,306,339,359,
441,445,447,451,455,458,528,530,532,534,553,555,564,570,572,575,622,624,641,
681,760,767,770,783,785,787,796,879,1005,1012,1016,1116,1121,1259,1275,1364,
1386,1390,1392,1396,1400,1403,1419,1424,1499,1617,1814,1928,1935,1939,1967,
2228,2246,2329,2360,2524,2677],[1,3,5,6,7,8,9,11,12,21,26,27,30,32,34,35,41,
42,45,46,47,50,51,52,53,55,56,59,65,67,69,71,124,126,128,154,155,162,164,166,
168,171,173,174,181,183,191,193,194,213,214,215,218,219,222,225,226,228,235,
256,284,288,290,294,296,301,303,305,307,308,354,355,356,357,360,361,441,445,
447,451,455,458,528,530,532,534,553,555,564,570,572,575,622,624,641,760,767,
770,783,785,787,794,835,836,1005,1012,1016,1116,1121,1274,1276,1277,1279,1364,
1386,1390,1392,1396,1400,1403,1415,1418,1420,1421,1425,1426,1427,1500,1508,
1617,1928,1935,1939,1963,2229,2245,2247,2248,2329,2358,2361,2678],[1,3,5,6,7,
8,9,13,21,26,27,30,32,34,35,43,44,45,48,50,51,54,55,56,65,67,69,83,124,126,
128,156,158,160,161,162,164,167,169,171,173,181,183,191,195,196,216,217,218,
223,225,227,255,286,287,288,291,294,296,302,303,306,359,442,444,445,448,451,
455,459,536,538,544,546,549,551,553,556,565,570,576,681,764,765,767,771,773,
783,785,787,796,879,1007,1011,1012,1017,1019,1126,1137,1261,1275,1372,1376,
1387,1389,1390,1393,1396,1400,1404,1424,1621,1814,1930,1934,1935,1940,1942,
1967,2230,2234,2246,2333,2341,2524,2679],[1,3,5,6,7,8,9,13,21,23,24,26,27,28,
29,30,32,34,35,45,50,51,55,56,57,58,64,65,66,67,69,81,83,84,123,124,125,126,
128,136,137,138,140,141,142,143,144,146,147,148,162,164,171,173,175,176,179,
181,183,184,185,186,187,191,218,220,225,229,231,232,255,281,282,283,288,292,
294,296,297,298,303,306,333,359,438,439,440,445,449,451,453,455,456,484,486,
491,492,494,496,502,507,510,511,512,553,557,559,570,571,577,579,581,587,679,
681,682,754,757,759,767,769,776,778,782,783,784,785,787,796,797,798,879,885,
886,999,1002,1004,1012,1014,1021,1023,1070,1074,1094,1099,1249,1275,1360,1383,
1384,1385,1390,1394,1396,1398,1400,1401,1422,1424,1501,1610,1814,1815,1817,
1922,1925,1927,1935,1937,1944,1946,1967,1968,1969,2231,2246,2325,2362,2524,
2525,2526,2680],[1,3,5,6,7,8,9,13,21,26,27,28,29,30,32,34,35,42,45,49,50,51,
52,55,56,58,65,66,67,69,83,84,124,125,126,128,157,159,162,164,170,171,173,175,
176,177,178,179,180,181,183,185,191,214,218,221,224,225,230,231,233,234,255,
285,288,292,293,294,296,297,303,306,340,359,443,445,449,450,451,455,456,540,
542,547,553,558,568,569,570,573,577,580,587,588,626,643,681,682,762,767,772,
776,779,783,784,785,787,796,798,879,886,1009,1012,1018,1021,1024,1130,1136,
1152,1260,1275,1368,1388,1390,1394,1395,1396,1400,1401,1423,1424,1502,1625,
1814,1817,1932,1935,1941,1944,1947,1967,1969,2233,2246,2337,2363,2524,2526,
2681],[1,3,5,6,7,8,9,13,21,26,27,30,32,34,35,45,50,51,55,56,57,58,65,67,69,83,
86,87,88,89,124,126,128,162,164,171,173,181,183,186,187,191,218,220,225,231,
232,236,237,238,239,240,241,242,246,255,288,294,296,303,306,344,345,359,445,
451,455,553,559,570,591,592,593,594,595,629,630,631,646,647,648,649,681,684,
686,767,783,785,787,796,879,887,888,889,890,1012,1026,1027,1142,1143,1155,
1156,1264,1275,1390,1396,1400,1424,1503,1504,1632,1814,1935,1967,1970,1971,
1972,1973,2246,2364,2365,2524,2527,2528,2682],[1,3,5,6,7,8,9,13,21,26,27,30,
32,34,35,45,46,50,51,55,56,58,59,65,67,69,83,88,89,124,126,128,162,164,171,
173,181,183,187,191,218,219,221,225,233,234,239,240,241,243,244,245,247,255,
288,294,296,303,306,347,348,359,445,451,455,553,560,570,593,594,596,632,633,
634,650,651,652,653,681,686,767,783,785,787,796,879,889,890,1012,1027,1144,
1145,1157,1158,1267,1275,1390,1396,1400,1424,1505,1506,1633,1814,1935,1967,
1972,1973,2246,2366,2367,2524,2528,2683],[1,3,7,9,13,21,23,24,30,32,55,57,64,
67,81,86,87,123,126,138,140,146,181,184,186,236,237,238,249,255,282,294,298,
303,306,334,359,439,451,453,494,510,591,592,597,679,684,757,782,785,797,885,
887,888,1002,1026,1076,1078,1101,1251,1275,1384,1396,1398,1424,1510,1614,1815,
1925,1968,1970,1971,2246,2368,2525,2527,2684],[1,3,7,9,13,21,23,24,30,32,33,
55,57,64,67,81,123,126,138,140,146,181,182,184,186,248,255,282,294,298,303,
306,359,439,451,453,494,495,510,598,679,757,782,785,797,885,1002,1077,1079,
1252,1275,1384,1396,1398,1424,1615,1815,1925,1968,2246,2525,2685],[1,3,7,8,9,
13,21,23,24,30,32,35,55,56,57,58,64,67,81,88,89,123,126,138,140,146,181,183,
184,185,186,187,239,240,241,242,246,250,255,282,294,298,303,306,335,359,439,
451,453,494,496,510,593,594,595,599,600,679,686,757,782,785,797,885,889,890,
1002,1027,1080,1081,1102,1254,1275,1384,1396,1398,1424,1511,1616,1815,1925,
1968,1972,1973,2246,2369,2525,2528,2686],[1,3,6,7,8,9,13,21,28,29,30,32,50,51,
55,56,57,58,66,67,84,86,87,88,89,125,126,175,176,179,181,185,186,187,225,229,
231,232,236,237,238,239,240,241,246,250,255,292,294,297,303,306,350,351,359,
449,451,456,577,581,587,591,592,593,594,600,646,648,658,659,682,684,686,776,
784,785,798,886,887,888,889,890,1021,1026,1027,1159,1160,1175,1176,1269,1275,
1394,1396,1401,1424,1512,1513,1634,1817,1944,1969,1970,1971,1972,1973,2246,
2370,2371,2526,2527,2528,2687],[1,3,6,7,8,9,13,21,28,29,30,32,50,53,55,56,58,
66,67,84,88,89,125,126,175,176,179,181,185,187,226,230,231,233,239,240,241,
244,247,252,255,292,294,297,303,306,352,359,449,451,456,577,582,587,593,594,
601,654,668,682,686,776,784,785,798,886,889,890,1021,1027,1161,1163,1177,1271,
1275,1394,1396,1401,1424,1514,1635,1817,1944,1969,1972,1973,2246,2372,2526,
2528,2688],[1,3,6,7,9,13,21,28,29,30,32,50,54,55,58,66,67,84,125,126,175,176,
179,181,185,227,231,251,255,292,294,297,303,306,359,449,451,456,577,583,587,
603,682,776,784,785,798,886,1021,1162,1166,1272,1275,1394,1396,1401,1424,1636,
1817,1944,1969,2246,2526,2689],[1,3,6,7,8,9,13,21,28,29,30,32,50,53,55,56,58,
66,67,84,88,89,125,126,175,176,179,181,185,187,228,230,231,234,239,240,241,
245,247,253,255,292,294,297,303,306,352,359,449,451,456,577,584,587,593,594,
602,656,666,682,686,776,784,785,798,886,889,890,1021,1027,1164,1165,1178,1271,
1275,1394,1396,1401,1424,1515,1637,1817,1944,1969,1972,1973,2246,2373,2526,
2528,2690],[1,3,7,10,12,13,21,23,24,30,32,55,57,70,74,80,81,86,87,123,126,138,
140,146,181,184,186,236,237,238,249,257,304,306,308,311,313,315,317,325,326,
334,359,360,439,451,453,494,510,591,592,597,691,694,695,789,791,797,808,811,
815,817,819,820,838,839,840,842,885,887,888,891,1002,1026,1076,1078,1101,1280,
1288,1290,1407,1410,1412,1424,1425,1439,1442,1444,1445,1446,1510,1614,1826,
1835,1836,1837,1952,1955,1968,1970,1971,1974,1980,1982,1984,2249,2261,2346,
2368,2531,2532,2533,2691],[1,3,5,6,7,8,10,12,13,21,26,27,30,32,34,35,41,42,45,
46,47,50,51,52,53,55,56,59,70,74,83,124,126,128,154,155,162,164,166,168,171,
173,174,181,183,191,193,194,213,214,215,218,219,222,225,226,228,235,257,304,
306,308,315,317,325,339,353,355,357,359,360,361,441,445,447,451,455,458,528,
530,532,534,553,555,564,570,572,575,622,624,641,791,796,817,834,873,879,1005,
1012,1016,1116,1121,1280,1290,1292,1410,1417,1419,1421,1424,1425,1427,1476,
1478,1496,1499,1500,1508,1617,1960,1967,2031,2249,2251,2271,2353,2360,2361,
2692],[1,3,5,6,7,8,11,12,13,21,26,27,30,32,34,35,41,42,45,46,47,50,51,52,53,
55,56,59,71,83,124,126,128,154,155,162,164,166,168,171,173,174,181,183,191,
193,194,213,214,215,218,219,222,225,226,228,235,258,305,306,307,308,339,354,
355,356,357,359,360,361,441,445,447,451,455,458,528,530,532,534,553,555,564,
570,572,575,622,624,641,794,796,835,836,879,1005,1012,1016,1116,1121,1281,
1293,1415,1418,1419,1420,1421,1424,1425,1426,1427,1499,1500,1508,1617,1963,
1967,2250,2252,2358,2360,2361,2693],[1,2,3,4,7,10,12,13,14,15,19,23,30,31,32,
33,55,57,62,70,72,73,74,77,80,86,92,98,99,107,138,181,182,184,186,188,236,237,
238,249,257,272,309,311,312,315,316,317,318,319,320,323,325,326,359,360,374,
397,402,494,495,591,597,689,690,695,716,732,800,802,803,808,809,817,818,819,
820,821,823,829,838,839,840,842,887,891,893,894,895,933,1076,1077,1282,1283,
1290,1317,1428,1431,1433,1439,1440,1444,1446,1572,1827,1830,1831,1836,1838,
1976,1980,1981,2017,2018,2254,2300,2374,2537,2694],[1,3,7,10,12,13,21,23,24,
30,32,55,57,70,74,80,81,86,87,123,126,138,140,146,181,184,186,236,237,238,249,
257,304,311,313,315,317,319,320,325,326,334,359,360,439,451,453,494,510,591,
592,597,691,694,695,789,791,808,811,815,817,819,820,823,825,829,831,838,839,
840,842,885,887,888,891,893,894,895,1002,1026,1076,1078,1101,1282,1288,1290,
1407,1410,1412,1439,1442,1444,1445,1446,1450,1510,1614,1828,1830,1833,1835,
1836,1837,1838,1952,1955,1980,1982,1984,2017,2018,2256,2261,2346,2391,2537,
2695],[1,3,4,7,10,12,13,22,23,25,30,31,32,33,38,55,57,70,73,74,78,79,80,82,85,
86,129,132,133,138,139,150,181,184,186,188,207,236,237,238,248,249,257,310,
311,314,315,316,317,318,319,320,324,325,326,332,337,359,360,461,472,474,494,
522,591,597,598,614,616,692,693,695,804,806,807,808,810,816,817,819,820,821,
822,823,824,826,829,830,837,838,839,840,841,842,887,891,893,894,895,1033,1054,
1076,1079,1112,1282,1289,1290,1434,1436,1438,1439,1443,1444,1446,1447,1448,
1453,1484,1485,1516,1517,1518,1643,1829,1830,1832,1836,1838,1978,1979,1980,
1983,1985,2017,2018,2258,2262,2376,2390,2392,2537,2696],[1,2,3,4,5,6,10,12,13,
14,15,16,17,18,21,22,23,24,25,26,27,28,29,36,37,41,42,43,44,47,48,49,70,72,73,
77,78,81,82,83,84,91,92,93,94,95,96,97,102,103,104,105,106,114,115,116,119,
123,124,125,129,130,131,136,137,143,144,149,154,155,156,157,158,159,160,161,
170,197,198,199,204,257,304,309,310,311,312,313,314,319,320,327,328,329,333,
336,339,340,341,342,353,355,358,367,368,369,372,373,378,379,383,384,385,386,
405,409,413,414,415,416,438,441,442,443,444,460,463,464,465,466,480,481,482,
483,497,498,499,500,513,514,515,516,690,691,692,716,788,789,790,800,801,804,
805,822,825,826,827,828,834,843,844,845,849,850,854,855,871,872,876,882,913,
916,917,925,926,935,936,973,974,979,980,997,998,1028,1029,1282,1286,1292,1314,
1315,1316,1405,1417,1449,1452,1455,1456,1457,1458,1469,1470,1471,1472,1473,
1474,1475,1486,1552,1827,1828,1829,1839,1840,1841,1868,1871,1872,1957,1958,
1959,1986,1987,1991,1992,2008,2009,2014,2020,2021,2253,2260,2263,2293,2348,
2538,2539,2540,2697],[1,3,5,6,7,8,10,12,13,21,23,24,26,27,28,29,30,32,34,35,
41,42,45,46,47,49,50,51,52,53,70,74,80,81,83,84,86,87,88,89,123,124,125,126,
128,136,137,138,140,141,142,143,144,146,147,148,154,155,157,159,162,164,166,
168,170,171,173,174,175,176,177,178,179,180,193,213,214,215,222,224,257,304,
311,313,315,317,319,320,333,334,335,339,340,344,345,347,348,350,351,352,353,
355,358,438,439,440,441,443,445,447,449,450,480,481,484,486,487,488,491,492,
493,497,498,502,503,504,507,508,528,530,532,534,540,542,547,568,569,691,694,
695,789,791,808,811,815,823,825,827,828,829,831,832,833,834,849,851,853,860,
861,863,864,873,878,884,997,999,1000,1005,1009,1058,1060,1061,1063,1086,1088,
1282,1288,1292,1407,1417,1449,1450,1451,1455,1456,1459,1461,1462,1463,1466,
1467,1468,1469,1470,1471,1476,1478,1490,1608,1828,1830,1833,1839,1844,1845,
1957,1960,1986,1988,1989,1996,1998,1999,2001,2010,2013,2015,2024,2256,2260,
2265,2349,2378,2538,2541,2544,2698],[1,2,3,4,5,6,10,12,13,15,16,18,21,23,24,
25,26,27,28,29,31,33,36,37,39,41,42,43,44,47,49,54,62,70,72,73,79,81,83,84,85,
102,104,105,107,109,111,113,114,116,123,124,125,127,136,137,139,143,144,145,
149,151,153,154,155,157,158,159,161,163,165,167,169,170,172,197,198,199,201,
206,209,257,271,274,275,304,311,312,313,314,316,318,319,320,333,339,340,343,
346,349,353,355,358,405,406,408,413,415,417,419,421,423,424,426,438,441,443,
444,446,448,480,481,485,489,490,497,498,501,505,506,513,514,518,519,529,531,
533,535,541,543,545,548,689,691,693,732,733,736,737,789,790,792,809,810,813,
814,824,825,827,828,830,834,849,852,859,862,871,872,877,883,973,975,977,984,
986,990,992,997,1001,1006,1010,1059,1062,1085,1087,1282,1284,1292,1340,1341,
1343,1346,1408,1417,1449,1455,1456,1460,1464,1465,1469,1470,1471,1474,1475,
1477,1479,1604,1828,1831,1832,1839,1842,1843,1897,1899,1901,1957,1959,1961,
1986,1990,1997,2000,2011,2012,2016,2022,2023,2257,2260,2264,2313,2350,2538,
2542,2543,2699],[1,2,3,4,5,6,7,8,10,12,13,14,15,16,17,18,19,20,23,26,28,30,31,
34,36,39,41,42,43,44,45,46,49,50,52,62,70,72,73,74,77,80,83,86,88,92,94,96,98,
100,104,107,110,111,114,115,116,117,118,120,136,138,141,154,157,160,161,162,
163,166,167,175,177,197,198,201,203,213,214,216,224,257,271,272,273,309,311,
312,315,316,319,320,323,328,339,341,344,347,349,353,355,358,372,374,376,383,
385,387,389,393,413,414,417,420,421,431,432,480,483,484,487,490,528,529,540,
541,549,550,689,690,695,716,732,733,734,735,800,802,808,809,823,827,829,832,
834,844,848,860,866,871,872,873,878,884,925,927,929,945,949,984,987,1058,1067,
1282,1283,1292,1315,1317,1319,1340,1345,1428,1455,1458,1459,1462,1465,1469,
1470,1472,1474,1476,1477,1494,1565,1827,1830,1831,1840,1842,1844,1871,1873,
1875,1897,1898,1996,2005,2008,2010,2011,2015,2025,2254,2260,2266,2296,2382,
2539,2541,2542,2700],[1,2,3,4,5,6,7,8,10,12,13,14,15,16,17,18,19,20,23,24,25,
26,28,29,32,33,35,36,37,38,40,41,42,43,44,45,46,49,51,53,54,70,72,73,74,77,79,
83,85,87,89,92,93,94,96,97,99,101,104,108,109,112,113,114,115,116,117,118,121,
122,136,139,140,142,143,147,149,151,154,157,158,159,160,161,164,165,168,169,
176,178,197,198,199,200,202,203,206,213,215,216,217,257,309,311,312,313,314,
317,318,319,320,323,324,328,330,331,339,341,343,345,346,348,353,355,358,372,
375,377,378,381,383,385,386,388,390,394,413,414,418,419,422,423,431,433,480,
483,485,486,488,489,497,500,503,506,513,516,518,521,530,531,542,543,546,548,
551,552,604,605,690,693,694,716,800,801,803,810,811,812,813,824,827,830,831,
833,834,844,846,847,859,861,865,867,871,872,873,877,883,925,928,930,935,938,
946,950,985,986,988,989,1059,1060,1068,1069,1282,1287,1292,1315,1318,1320,
1429,1455,1458,1460,1461,1463,1464,1469,1470,1471,1472,1474,1475,1478,1479,
1488,1494,1495,1566,1827,1832,1833,1840,1843,1845,1871,1874,1876,1997,1998,
2006,2007,2008,2012,2013,2016,2020,2022,2026,2029,2255,2260,2267,2297,2383,
2539,2543,2544,2701],[1,3,4,5,6,7,8,10,12,13,22,23,25,26,28,30,31,33,34,36,37,
38,39,40,41,42,44,45,46,48,49,50,52,54,70,73,74,78,79,80,82,83,85,86,88,129,
130,131,132,135,136,138,139,141,149,150,151,152,154,156,157,158,162,163,165,
166,167,169,175,177,189,196,197,199,200,201,202,204,205,206,213,214,217,223,
224,257,310,311,314,315,316,318,319,320,324,332,336,337,338,339,342,343,344,
346,347,353,355,358,460,461,462,463,465,467,469,471,480,482,484,485,487,489,
513,515,517,518,520,528,529,531,536,539,540,543,544,562,585,604,606,609,692,
693,695,804,806,808,810,816,822,823,824,826,827,829,830,832,834,854,856,857,
859,860,868,869,872,873,876,877,878,882,883,884,1028,1030,1031,1036,1040,1058,
1059,1064,1065,1103,1105,1282,1289,1292,1434,1448,1452,1453,1454,1455,1457,
1459,1460,1462,1464,1469,1470,1473,1475,1476,1477,1479,1492,1495,1498,1509,
1638,1829,1830,1832,1841,1843,1844,1991,1993,1994,1996,1997,2002,2003,2009,
2010,2012,2014,2015,2016,2027,2030,2258,2260,2269,2380,2384,2388,2540,2541,
2543,2702],[1,2,3,4,5,6,7,8,10,12,13,15,16,18,19,20,22,23,24,25,26,28,29,31,
32,35,36,37,38,39,40,41,42,43,44,45,46,48,49,51,53,62,70,72,73,74,78,82,83,87,
89,103,104,106,107,108,111,112,114,116,117,118,122,129,130,131,133,134,136,
140,142,143,145,147,149,153,154,156,157,158,159,161,163,164,167,168,176,178,
197,198,199,200,201,202,203,204,210,213,215,216,217,257,271,276,277,310,311,
312,313,314,316,317,319,320,323,324,336,339,342,345,348,349,353,355,358,409,
410,412,413,416,417,418,421,422,427,428,431,433,460,463,465,466,468,470,480,
482,486,488,490,497,499,501,503,505,513,515,519,521,529,530,537,538,541,542,
545,546,604,605,689,692,694,732,733,738,739,804,805,807,809,811,812,814,822,
826,827,831,833,834,854,858,861,870,871,872,873,876,882,979,981,983,984,985,
993,994,1028,1032,1037,1041,1060,1066,1085,1089,1282,1285,1292,1340,1342,1344,
1347,1435,1452,1455,1457,1461,1463,1465,1469,1470,1471,1473,1474,1475,1477,
1478,1494,1495,1606,1829,1831,1833,1841,1842,1845,1897,1900,1902,1991,1995,
1998,2004,2009,2011,2013,2014,2021,2023,2028,2029,2259,2260,2268,2314,2385,
2540,2542,2544,2703],[1,3,5,6,7,8,10,12,13,26,30,32,34,35,41,42,45,46,50,51,
52,53,55,56,57,58,59,70,74,80,81,83,84,86,87,88,89,154,162,164,166,168,181,
183,186,187,191,194,213,214,215,218,219,220,221,225,226,228,231,232,233,234,
235,236,237,238,239,240,241,242,243,244,245,246,247,257,315,317,325,326,333,
334,335,339,340,344,345,347,348,350,351,352,353,355,359,360,361,528,530,553,
555,559,560,564,591,593,595,596,622,623,624,626,627,629,630,631,632,633,634,
635,636,646,648,649,650,652,653,654,655,656,657,691,694,695,817,820,834,838,
839,840,849,851,853,860,861,863,864,873,878,879,885,886,887,888,889,890,891,
892,1116,1119,1142,1144,1146,1191,1192,1193,1196,1198,1199,1288,1290,1292,
1444,1476,1478,1490,1496,1497,1499,1500,1501,1502,1503,1504,1505,1506,1510,
1511,1512,1513,1514,1515,1705,1835,1836,1837,1839,1844,1845,2031,2034,2037,
2038,2039,2042,2043,2044,2045,2049,2050,2051,2052,2261,2265,2271,2405,2411,
2546,2547,2548,2704],[1,4,5,7,8,10,12,13,36,38,40,41,44,45,46,57,58,73,74,78,
79,80,82,83,85,86,88,197,200,202,207,208,213,217,220,221,248,249,250,251,252,
253,257,324,326,332,336,337,338,339,342,343,344,346,347,353,355,604,607,608,
616,617,620,621,623,628,637,638,639,640,692,693,695,837,841,842,854,856,857,
859,860,868,869,872,873,876,877,878,893,894,895,896,897,1179,1183,1184,1194,
1195,1205,1207,1289,1292,1485,1492,1495,1497,1498,1507,1516,1517,1518,1519,
1520,1727,1838,1841,1843,1844,2036,2040,2041,2046,2047,2048,2053,2054,2262,
2269,2410,2412,2413,2414,2549,2705],[1,5,7,8,10,41,45,46,55,56,59,74,90,213,
218,219,236,239,243,325,353,362,622,629,632,712,838,873,899,1191,1496,1529,
1856,2037,2072,2273,2434,2706],[1,5,7,8,12,41,45,46,55,56,59,80,90,213,218,
219,236,239,243,355,360,361,362,622,629,632,713,878,891,892,899,1191,1500,
1529,1857,2045,2072,2276,2434,2707],[1,5,7,8,13,41,45,46,55,56,59,83,86,88,90,
213,218,219,236,239,243,339,344,347,359,362,622,629,632,714,860,879,887,889,
899,1191,1308,1499,1503,1505,1529,1858,2043,2072,2277,2434,2550,2708],[1,5,7,
8,12,41,45,46,55,56,59,80,90,213,218,219,236,239,243,355,360,361,362,622,629,
632,713,878,891,892,899,1191,1500,1529,1857,2045,2072,2278,2434,2709],[1,4,5,
7,8,13,36,38,40,45,55,56,57,58,77,83,85,87,89,90,200,207,208,218,220,238,241,
242,248,328,330,331,343,345,359,362,363,607,614,615,631,637,714,846,879,888,
890,900,1181,1308,1309,1504,1859,2279,2551,2552,2710],[1,5,7,8,13,41,45,46,55,
56,57,58,59,83,87,89,90,213,218,219,220,221,238,241,242,244,245,339,345,348,
359,362,622,623,631,634,635,714,861,879,888,890,899,1193,1308,1499,1504,1506,
1858,2044,2279,2552,2711],[1,5,7,8,13,44,45,55,56,57,58,83,87,89,90,217,218,
220,238,241,242,251,341,345,346,359,362,628,631,638,714,867,879,888,890,901,
1204,1308,1504,1860,2279,2552,2712],[1,3,5,6,13,21,23,24,26,27,28,29,41,42,47,
49,81,83,84,90,123,124,125,136,137,143,144,154,155,157,159,170,306,320,333,
339,340,362,438,441,443,480,481,497,498,714,796,797,798,825,827,828,849,899,
997,1308,1419,1422,1423,1449,1455,1456,1858,1965,1986,2280,2553,2713],[1,2,3,
4,5,6,9,10,11,15,16,18,26,36,41,42,43,44,60,63,65,67,68,69,70,71,72,73,75,76,
104,114,116,154,161,197,198,254,259,260,261,262,263,278,279,280,284,287,288,
289,290,291,312,321,353,354,364,365,366,413,672,675,676,699,700,701,703,706,
707,708,709,710,744,746,747,760,761,765,766,834,835,871,872,874,875,902,903,
904,905,906,907,908,909,910,911,912,1235,1273,1294,1295,1296,1300,1303,1305,
1306,1310,1352,1474,1480,1530,1531,1532,1533,1534,1535,1536,1537,1538,1543,
1546,1547,1548,1808,1810,1811,1849,1861,1862,1863,2073,2074,2075,2078,2079,
2080,2081,2087,2088,2089,2090,2091,2092,2222,2281,2284,2435,2443,2445,2555,
2556,2557,2714],[1,3,5,6,9,10,11,24,26,29,41,42,60,65,67,69,70,71,143,154,159,
254,260,261,262,284,288,290,297,298,313,353,354,364,365,366,497,675,703,704,
705,706,707,760,769,772,834,835,903,904,906,908,911,1241,1273,1300,1302,1304,
1310,1366,1471,1533,1535,1537,1539,1540,1545,1547,1548,1810,1854,1862,2078,
2082,2083,2087,2088,2226,2282,2284,2438,2444,2556,2715],[1,3,5,6,9,10,11,22,
26,41,42,48,60,65,67,69,70,71,130,154,156,254,260,261,262,284,288,290,299,302,
310,353,354,364,365,366,463,675,702,703,706,707,711,760,773,774,834,835,903,
904,906,908,911,1242,1273,1299,1300,1301,1310,1367,1473,1533,1535,1537,1541,
1542,1544,1547,1548,1810,1852,1862,2078,2084,2085,2087,2088,2227,2283,2284,
2439,2442,2556,2716],[1,2,3,4,9,13,14,15,21,22,23,24,25,60,61,62,63,64,67,68,
81,85,91,92,93,102,103,123,129,255,259,260,263,264,265,268,274,279,282,294,
295,298,299,303,306,364,367,670,671,677,679,683,700,702,704,715,719,720,731,
748,751,757,758,781,782,797,902,904,905,1222,1225,1229,1232,1244,1275,1297,
1312,1334,1531,1540,1541,1549,1735,1760,1815,1816,2077,2093,2094,2095,2191,
2285,2446,2558,2559,2560,2717],[1,2,3,4,5,6,9,13,15,16,18,21,25,26,27,36,37,
60,61,63,64,65,66,67,68,69,83,85,102,104,105,124,149,255,259,260,261,262,263,
266,268,270,278,279,280,281,288,289,294,295,296,300,303,306,343,364,405,671,
677,681,683,685,699,700,701,703,708,727,731,746,748,749,767,768,783,796,902,
903,904,905,906,1230,1232,1233,1243,1263,1275,1295,1335,1354,1530,1531,1532,
1535,1536,1549,1756,1760,1814,2074,2093,2096,2190,2285,2447,2558,2561,2718],[
1,2,3,4,6,9,13,14,15,17,18,21,22,25,28,29,60,61,62,63,64,66,67,68,69,84,85,91,
96,97,102,106,125,131,255,259,260,263,264,265,267,268,269,270,275,279,280,283,
292,294,295,297,299,303,306,364,369,670,671,677,682,683,685,700,702,705,715,
721,722,724,731,748,750,776,777,781,784,798,902,904,905,1222,1224,1226,1231,
1232,1233,1245,1275,1298,1313,1336,1531,1539,1541,1549,1736,1760,1816,1817,
2076,2093,2094,2097,2192,2285,2448,2558,2559,2562,2719],[1,2,3,5,6,9,13,14,16,
17,21,22,26,27,60,61,62,63,64,65,66,67,69,83,91,94,95,124,130,255,260,261,262,
264,265,266,267,269,271,278,281,288,294,296,299,303,306,364,368,670,671,677,
681,685,702,703,715,717,718,723,767,774,781,783,796,903,904,906,1222,1223,
1224,1230,1243,1275,1299,1311,1380,1535,1541,1549,1734,1814,1816,2085,2094,
2096,2232,2285,2449,2559,2561,2720],[1,3,5,6,9,13,21,23,24,26,27,28,29,60,64,
65,66,67,69,81,83,84,123,124,125,136,137,143,144,255,260,261,262,281,282,283,
288,292,294,296,297,298,303,306,333,364,438,677,679,681,682,685,703,704,705,
754,757,759,767,769,776,778,782,783,784,796,797,798,903,904,906,1243,1244,
1245,1249,1253,1275,1302,1360,1383,1422,1535,1539,1540,1549,1772,1814,1815,
1817,2082,2095,2096,2097,2231,2285,2450,2560,2561,2562,2721],[1,3,5,6,9,13,21,
26,27,41,42,47,60,64,65,66,67,69,83,124,154,155,255,260,261,262,281,284,285,
288,290,294,296,301,303,306,339,364,441,677,681,685,703,706,707,752,760,767,
770,783,796,903,904,906,1243,1259,1265,1275,1300,1364,1386,1419,1533,1535,
1537,1549,1769,1814,2078,2096,2228,2285,2451,2561,2722],[1,3,5,6,9,13,21,26,
27,28,29,42,49,60,64,65,66,67,69,83,84,124,125,157,159,170,255,260,261,262,
281,283,285,288,290,292,293,294,296,297,303,306,340,364,443,677,681,682,685,
703,705,755,762,767,772,776,779,783,784,796,798,903,904,906,1243,1245,1260,
1265,1270,1275,1304,1368,1388,1423,1535,1539,1549,1773,1814,1817,2083,2096,
2097,2233,2285,2452,2561,2562,2723],[1,3,5,6,9,13,21,26,27,43,48,60,64,65,66,
67,69,83,124,156,160,255,260,261,262,281,286,287,288,294,296,302,303,306,349,
364,442,677,681,685,703,711,753,764,767,773,783,796,903,904,906,1243,1261,
1268,1275,1301,1372,1387,1535,1542,1549,1771,1814,2084,2096,2234,2285,2453,
2561,2724],[1,3,5,6,9,13,21,26,27,43,44,60,64,65,66,67,69,83,124,158,161,255,
260,261,262,281,286,287,288,291,294,296,303,306,346,364,444,677,681,685,703,
709,710,756,765,767,771,783,796,903,904,906,1243,1261,1266,1275,1303,1376,
1389,1534,1535,1538,1549,1774,1814,2080,2096,2230,2285,2454,2561,2725],[1,2,3,
4,9,10,11,14,15,21,22,23,24,25,60,61,63,64,67,68,70,71,72,73,75,76,91,92,93,
102,103,123,129,254,259,260,263,264,265,268,279,282,303,304,305,309,310,311,
312,313,314,321,365,367,672,673,674,675,676,700,702,704,719,731,781,782,788,
789,790,793,800,801,804,805,907,908,909,1234,1235,1236,1237,1238,1278,1297,
1334,1405,1543,1544,1545,1549,1761,1820,1821,1822,2086,2093,2094,2095,2235,
2286,2446,2563,2564,2565,2726],[1,3,5,6,9,10,11,21,26,27,41,42,47,60,64,65,66,
70,124,154,155,254,260,261,262,281,284,285,303,304,305,353,354,356,365,441,
673,703,706,707,752,783,834,908,1273,1278,1300,1386,1417,1418,1547,1549,1768,
2087,2096,2244,2286,2451,2727],[1,3,5,6,9,11,12,21,26,27,41,42,47,60,64,65,66,
71,124,154,155,256,260,261,262,281,284,285,303,307,308,354,355,357,366,441,
678,703,706,707,752,783,835,911,1274,1279,1300,1386,1420,1421,1548,1549,1770,
2088,2096,2245,2287,2451,2728],[1,2,3,4,7,10,12,13,15,19,22,23,24,25,31,32,38,
60,62,70,72,73,74,77,78,79,80,81,82,85,86,87,103,107,108,129,133,140,145,257,
259,260,263,272,274,276,310,311,312,313,314,316,317,319,320,323,324,327,330,
332,334,337,365,410,689,690,691,692,693,694,695,700,702,704,732,740,804,805,
807,809,811,812,814,822,826,831,907,908,909,1282,1283,1284,1285,1286,1287,
1288,1289,1297,1342,1435,1543,1544,1545,1550,1829,1831,1833,1834,2086,2098,
2100,2101,2259,2288,2456,2567,2568,2569,2729],[1,3,5,6,10,12,13,23,26,28,41,
42,49,60,70,81,83,84,136,154,157,257,260,261,262,311,319,320,333,339,340,353,
355,358,365,480,691,703,706,707,827,834,849,908,1282,1292,1300,1455,1469,1470,
1547,1550,1839,2087,2099,2260,2288,2458,2730],[1,2,3,4,9,13,14,15,21,22,23,24,
25,60,61,63,64,77,81,82,91,92,93,102,103,123,129,255,260,265,303,320,327,367,
671,679,680,702,716,731,781,782,825,826,1229,1247,1248,1314,1334,1549,1550,
1749,2094,2098,2570,2731],[1,2,3,4,9,13,15,21,23,24,25,31,33,60,61,62,64,68,
81,85,102,107,109,123,127,139,145,255,259,260,263,268,274,303,320,406,670,679,
683,700,731,732,782,786,825,830,1225,1247,1252,1337,1341,1549,1550,1745,2093,
2100,2570,2732],[1,3,7,9,13,21,23,24,30,32,60,64,67,81,86,87,123,126,138,140,
146,255,260,282,303,320,334,439,677,679,684,704,782,785,825,829,831,1244,1247,
1251,1384,1450,1549,1550,1775,2095,2101,2570,2733],[1,3,5,6,9,13,21,23,24,26,
27,28,29,60,64,65,66,81,83,84,123,124,125,136,137,143,144,255,260,261,262,281,
303,320,333,438,679,681,682,703,782,783,784,825,827,828,1247,1249,1250,1383,
1449,1549,1550,1778,2096,2099,2570,2734],[1,3,6,8,9,13,21,23,24,28,29,34,35,
60,64,66,69,81,88,89,123,125,128,141,142,147,148,255,260,283,303,320,335,440,
679,685,686,705,782,784,787,825,832,833,1247,1253,1254,1385,1451,1549,1550,
1779,2097,2102,2570,2735],[1,2,3,4,5,6,7,8,9,14,15,16,17,18,19,20,21,22,23,24,
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,
51,52,53,54,55,56,57,58,59,61,63,64,65,66,67,68,69,91,92,93,94,95,96,97,98,99,
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,
233,234,235,264,265,266,267,268,269,270,278,279,280,281,282,283,284,285,286,
287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,367,368,
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,
578,579,580,581,582,583,584,585,586,587,588,589,590,604,605,606,607,608,609,
610,611,612,613,622,623,624,625,626,627,628,641,642,643,644,645,715,717,718,
719,720,721,722,723,724,725,726,727,728,729,730,731,744,745,746,747,748,749,
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,
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,
1021,1022,1023,1024,1025,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,
1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,
1053,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,
1072,1073,1074,1075,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,
1096,1097,1098,1099,1100,1103,1104,1105,1106,1107,1108,1109,1110,1111,1116,
1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,
1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1152,1153,1154,1179,1180,
1185,1186,1311,1312,1313,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,
1331,1332,1333,1334,1335,1336,1337,1338,1339,1352,1353,1354,1355,1356,1357,
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,
1403,1404,1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,
1565,1566,1567,1568,1569,1570,1571,1576,1577,1578,1579,1580,1581,1582,1583,
1584,1585,1586,1587,1588,1589,1590,1591,1592,1593,1594,1595,1596,1597,1598,
1604,1605,1606,1607,1608,1609,1610,1611,1612,1613,1617,1618,1619,1620,1621,
1622,1623,1624,1625,1626,1627,1628,1629,1630,1631,1638,1639,1640,1641,1642,
1648,1649,1650,1651,1652,1653,1654,1655,1656,1657,1658,1666,1667,1668,1669,
1670,1671,1672,1687,1688,1689,1690,1691,1692,1693,1700,1701,1702,1864,1865,
1866,1867,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,
1892,1893,1894,1895,1896,1904,1905,1906,1907,1908,1909,1910,1911,1912,1913,
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,
1944,1945,1946,1947,1948,2104,2105,2106,2109,2110,2111,2112,2115,2116,2123,
2124,2125,2126,2129,2130,2131,2132,2139,2140,2289,2290,2291,2292,2301,2302,
2303,2304,2305,2306,2307,2308,2309,2310,2311,2312,2317,2318,2319,2320,2321,
2322,2323,2324,2325,2326,2327,2328,2329,2330,2331,2332,2333,2334,2335,2336,
2337,2338,2339,2340,2341,2342,2343,2344,2465,2571,2572,2573,2578,2579,2580,
2581,2582,2583,2584,2585,2586,2587,2588,2589,2736],[1,2,3,4,5,6,7,8,13,14,15,
16,17,18,19,20,23,26,28,30,31,32,33,34,35,36,39,41,42,43,44,45,46,49,50,51,52,
53,54,55,56,57,58,59,62,77,83,86,88,92,94,96,98,99,100,101,104,107,110,111,
114,115,116,117,118,120,121,136,138,141,154,157,160,161,162,163,164,165,166,
167,168,169,175,177,181,182,183,184,185,186,187,188,190,191,192,194,195,197,
198,201,203,211,212,213,214,215,216,218,219,220,221,224,225,226,227,228,229,
230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,249,
250,252,253,271,272,273,320,328,339,341,344,347,349,359,372,374,376,383,385,
387,388,389,390,393,397,400,402,403,404,413,414,417,420,421,430,431,432,435,
436,437,480,483,484,487,490,494,495,496,528,529,530,531,540,541,549,550,551,
552,553,554,555,556,557,558,559,560,561,563,564,565,566,567,577,578,579,580,
581,582,583,584,586,591,593,595,596,597,599,600,601,602,622,623,624,625,626,
627,629,630,631,632,633,634,635,636,639,640,643,644,645,646,648,649,650,652,
653,654,655,656,657,658,659,661,662,663,664,666,667,668,669,716,732,733,734,
735,827,829,832,844,848,860,866,879,887,889,895,925,927,929,933,934,945,946,
949,953,956,958,959,960,965,966,967,968,984,987,1058,1067,1070,1071,1072,1073,
1076,1077,1080,1082,1083,1116,1117,1118,1119,1120,1130,1131,1132,1133,1137,
1138,1139,1140,1141,1142,1144,1146,1147,1149,1151,1159,1161,1162,1164,1167,
1168,1169,1171,1172,1173,1174,1191,1192,1193,1195,1196,1198,1199,1200,1201,
1203,1214,1215,1216,1217,1218,1221,1315,1317,1319,1340,1345,1455,1458,1459,
1462,1465,1499,1503,1505,1507,1565,1569,1570,1572,1574,1584,1586,1592,1594,
1599,1601,1603,1666,1667,1671,1672,1673,1674,1677,1678,1681,1705,1707,1713,
1715,1871,1873,1875,1897,1898,1996,2005,2018,2043,2048,2115,2117,2119,2147,
2148,2159,2160,2296,2300,2389,2468,2575,2614,2615,2737],[1,2,3,4,5,6,7,8,13,
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,
40,45,50,51,55,56,57,58,62,77,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,
98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,117,120,122,123,
124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,
143,144,145,146,147,148,149,150,151,152,153,162,163,164,165,171,172,173,175,
176,179,181,182,183,184,185,186,187,188,189,190,191,192,200,205,207,208,218,
220,225,229,231,232,236,237,238,239,240,241,242,246,248,249,250,271,272,273,
274,275,276,277,320,327,328,329,330,331,333,334,335,336,337,338,343,344,345,
350,351,359,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,
387,388,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,
408,409,410,411,412,417,418,419,424,425,426,427,428,438,439,440,445,446,449,
451,452,453,454,455,456,457,460,461,462,467,468,471,472,473,474,475,476,477,
478,479,484,485,486,491,492,494,495,496,501,502,507,509,510,511,512,517,522,
523,524,525,553,554,557,559,561,570,571,574,577,578,579,581,587,591,592,593,
594,595,597,598,599,600,607,610,614,615,616,617,629,630,631,637,639,646,647,
648,649,658,659,660,661,716,732,734,736,738,740,741,742,743,825,826,827,828,
829,830,831,832,833,843,846,851,856,879,885,886,887,888,889,890,895,913,914,
915,918,920,921,922,923,924,927,928,931,932,933,934,937,940,941,942,943,944,
952,953,954,959,961,962,963,964,965,966,969,970,971,972,975,981,999,1002,1003,
1004,1012,1013,1014,1015,1021,1022,1023,1026,1027,1030,1033,1034,1035,1043,
1044,1045,1051,1052,1053,1054,1055,1070,1071,1074,1076,1077,1078,1079,1080,
1081,1082,1093,1094,1099,1101,1102,1107,1112,1113,1142,1143,1147,1148,1155,
1156,1159,1160,1169,1170,1175,1176,1181,1183,1187,1188,1314,1315,1316,1317,
1318,1319,1320,1340,1341,1342,1343,1344,1348,1449,1450,1451,1452,1453,1454,
1459,1460,1461,1466,1467,1501,1503,1504,1507,1510,1511,1512,1513,1518,1553,
1555,1556,1559,1560,1563,1564,1569,1571,1572,1573,1574,1575,1578,1579,1582,
1610,1611,1614,1615,1616,1632,1634,1640,1643,1644,1645,1646,1659,1665,1673,
1674,1675,1676,1682,1683,1684,1694,1696,1703,1868,1869,1870,1873,1874,1877,
1878,1899,1900,1988,1993,2018,2049,2053,2105,2107,2108,2117,2118,2121,2122,
2133,2134,2141,2142,2294,2300,2389,2391,2392,2393,2466,2575,2576,2577,2616,
2617,2738],[1,2,3,4,5,6,7,8,13,14,15,16,17,18,19,20,23,26,27,28,29,30,31,32,
33,34,35,36,39,42,44,45,46,47,48,50,51,52,53,54,55,56,57,58,59,62,77,83,84,86,
88,89,92,94,96,98,99,100,101,104,107,110,111,116,117,118,119,120,121,136,137,
138,141,142,155,156,158,159,162,163,164,165,166,167,168,169,170,171,173,174,
175,178,179,180,181,182,183,184,185,186,187,188,190,191,192,193,194,196,199,
202,209,210,214,215,217,218,219,220,221,222,223,225,226,228,229,231,232,233,
234,235,236,237,238,239,240,241,242,244,245,246,247,249,250,251,271,272,273,
320,328,340,342,344,346,348,350,352,359,372,374,376,384,386,387,388,389,390,
393,397,400,402,403,404,415,416,417,422,423,429,433,434,481,482,484,488,489,
491,493,494,495,496,532,533,534,535,536,537,538,539,544,545,547,553,554,557,
559,561,562,564,565,566,567,568,570,571,572,573,575,577,578,579,581,587,588,
590,591,593,594,595,597,599,600,603,624,626,628,629,630,631,633,634,638,639,
641,642,646,647,648,649,650,651,653,654,656,658,659,661,665,716,732,734,737,
739,827,828,829,832,833,845,847,863,869,879,886,887,889,890,895,926,927,930,
933,934,947,948,951,953,955,957,959,960,965,966,990,993,1061,1064,1070,1071,
1074,1075,1076,1077,1080,1081,1082,1084,1121,1122,1123,1124,1125,1126,1127,
1128,1129,1134,1135,1136,1142,1145,1147,1150,1152,1153,1155,1157,1158,1159,
1163,1165,1166,1169,1175,1177,1178,1196,1197,1204,1207,1208,1209,1210,1212,
1315,1317,1319,1340,1349,1456,1457,1459,1463,1464,1466,1468,1502,1503,1506,
1507,1512,1514,1515,1567,1569,1572,1574,1588,1590,1596,1598,1600,1602,1668,
1669,1670,1673,1674,1679,1680,1682,1685,1686,1709,1711,1717,1719,1721,1723,
1872,1873,1876,1901,1902,1999,2002,2018,2051,2054,2116,2117,2120,2151,2152,
2155,2156,2298,2300,2389,2393,2470,2575,2618,2619,2739],[1,2,3,4,5,6,7,8,10,
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,
40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,70,72,73,74,91,92,
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,
228,229,230,231,232,233,234,235,304,309,310,311,312,313,314,315,316,317,318,
323,324,325,326,353,367,368,369,370,371,372,373,374,375,376,377,378,379,380,
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,
590,604,605,606,607,608,609,610,611,612,613,622,623,624,625,626,627,628,641,
642,643,644,645,788,789,790,791,792,800,801,802,803,804,805,806,807,808,809,
810,811,812,813,814,815,816,817,818,819,820,821,834,837,871,872,873,913,914,
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,
1023,1024,1025,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,
1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1058,
1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,
1074,1075,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,
1098,1099,1100,1103,1104,1105,1106,1107,1108,1109,1110,1111,1116,1117,1118,
1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,
1134,1135,1136,1137,1138,1139,1140,1141,1152,1153,1154,1179,1180,1185,1186,
1405,1406,1407,1408,1409,1410,1411,1412,1413,1417,1428,1429,1430,1431,1432,
1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1469,1471,1472,1473,
1474,1475,1476,1477,1478,1479,1494,1495,1496,1497,1552,1553,1554,1555,1556,
1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,
1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,1590,
1591,1592,1593,1594,1595,1596,1597,1598,1604,1605,1606,1607,1608,1609,1610,
1611,1612,1613,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,
1629,1630,1631,1638,1639,1640,1641,1642,1648,1649,1650,1651,1652,1653,1654,
1655,1656,1657,1658,1666,1667,1668,1669,1670,1671,1672,1687,1688,1689,1690,
1691,1692,1693,1700,1701,1702,1949,1950,1951,1952,1953,1954,1957,1958,1959,
1960,1961,1976,1977,1978,2008,2009,2010,2011,2012,2013,2020,2021,2022,2023,
2024,2025,2026,2027,2028,2029,2030,2031,2032,2033,2034,2035,2036,2104,2105,
2106,2109,2110,2111,2112,2115,2116,2123,2124,2125,2126,2129,2130,2131,2132,
2139,2140,2345,2348,2349,2350,2351,2352,2353,2354,2355,2356,2382,2383,2384,
2385,2386,2387,2395,2396,2397,2398,2399,2400,2401,2402,2403,2404,2465,2591,
2592,2593,2594,2595,2596,2607,2608,2620,2740],[1,3,5,6,7,8,10,21,23,24,26,27,
28,29,30,32,34,35,41,42,45,46,47,49,50,51,52,53,55,56,57,58,59,70,74,123,124,
125,126,128,136,137,138,140,141,142,143,144,146,147,148,154,155,157,159,162,
164,166,168,170,171,173,174,175,176,177,178,179,180,181,183,184,185,186,187,
191,193,194,213,214,215,218,219,220,221,222,224,225,226,228,229,230,231,232,
233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,249,250,252,253,
304,311,313,315,317,325,326,353,438,439,440,441,443,445,447,449,450,451,453,
455,456,458,480,481,484,486,487,488,491,492,493,494,496,497,498,502,503,504,
507,508,510,511,512,528,530,532,534,540,542,547,553,555,557,558,559,560,564,
568,569,570,571,572,573,575,577,579,580,581,582,584,587,588,591,592,593,594,
595,596,597,599,600,601,602,622,623,624,625,626,627,629,630,631,632,633,634,
635,636,639,640,641,643,644,645,646,647,648,649,650,651,652,653,654,655,656,
657,658,659,661,662,663,664,666,667,668,669,789,791,808,811,815,817,819,820,
834,838,839,840,842,873,997,999,1000,1002,1004,1005,1009,1012,1014,1016,1018,
1021,1023,1024,1026,1027,1058,1060,1061,1063,1070,1072,1074,1075,1076,1078,
1080,1081,1083,1086,1088,1094,1095,1096,1099,1100,1101,1102,1116,1118,1119,
1121,1123,1130,1132,1133,1136,1142,1143,1144,1145,1146,1147,1149,1151,1152,
1153,1155,1156,1157,1158,1159,1160,1161,1163,1164,1165,1169,1171,1173,1174,
1175,1176,1177,1178,1191,1192,1193,1195,1196,1197,1198,1199,1200,1201,1203,
1208,1209,1214,1215,1216,1217,1218,1221,1407,1410,1412,1417,1439,1442,1444,
1445,1446,1469,1471,1476,1478,1496,1497,1608,1610,1612,1614,1616,1617,1619,
1625,1627,1632,1633,1634,1635,1637,1666,1668,1673,1675,1677,1679,1682,1684,
1685,1688,1690,1694,1695,1696,1697,1699,1705,1706,1707,1709,1710,1713,1714,
1715,1719,1720,1721,1722,1723,1724,1952,1955,1957,1960,1980,1982,1984,2010,
2013,2024,2031,2033,2034,2037,2038,2039,2041,2129,2133,2135,2137,2138,2147,
2149,2151,2153,2163,2164,2346,2349,2353,2355,2386,2398,2405,2406,2407,2472,
2592,2597,2609,2611,2621,2741],[1,3,5,6,7,8,10,21,23,24,26,27,28,29,30,32,33,
34,35,41,42,45,46,47,49,50,51,52,53,54,55,56,57,58,59,70,74,123,124,125,126,
128,136,137,138,140,141,142,143,144,146,147,148,154,155,157,159,162,164,165,
166,168,169,170,171,173,174,175,176,177,178,179,180,181,182,183,184,185,186,
187,191,192,193,194,195,213,214,215,218,219,220,221,222,224,225,226,227,228,
229,230,231,232,233,234,235,248,251,304,311,313,315,317,318,325,326,353,438,
439,440,441,443,445,447,449,450,451,453,455,456,458,480,481,484,486,487,488,
491,492,493,494,495,496,497,498,502,503,504,507,508,510,511,512,528,530,531,
532,534,540,542,547,553,554,555,556,557,558,559,560,564,566,568,569,570,571,
572,573,575,577,578,579,580,581,582,583,584,586,587,588,598,603,622,623,624,
625,626,627,637,638,641,643,644,645,660,665,789,791,808,811,815,817,818,819,
820,834,841,873,997,999,1000,1002,1004,1005,1009,1012,1014,1016,1018,1021,
1023,1024,1058,1060,1061,1063,1070,1071,1072,1073,1074,1075,1077,1079,1082,
1084,1086,1088,1094,1095,1096,1099,1100,1116,1117,1118,1119,1121,1123,1130,
1131,1132,1133,1136,1148,1150,1152,1153,1162,1166,1167,1168,1170,1172,1194,
1202,1219,1220,1407,1410,1412,1417,1439,1440,1442,1447,1469,1471,1476,1478,
1479,1496,1497,1608,1610,1612,1615,1617,1619,1625,1627,1636,1666,1667,1668,
1674,1676,1678,1680,1681,1683,1686,1688,1690,1698,1708,1716,1725,1952,1957,
1960,1981,1983,2010,2013,2024,2031,2032,2033,2034,2040,2129,2134,2136,2148,
2150,2152,2154,2347,2349,2353,2355,2386,2387,2398,2408,2473,2592,2610,2612,
2742],[1,3,5,6,7,8,13,21,23,24,26,27,28,29,30,32,34,35,41,42,45,46,47,49,50,
51,52,53,55,56,57,58,59,81,83,84,86,87,88,89,123,124,125,126,128,136,137,138,
140,141,142,143,144,146,147,148,154,155,157,159,162,164,166,168,170,171,173,
174,175,176,177,178,179,180,181,183,184,185,186,187,191,193,194,213,214,215,
218,219,220,221,222,224,225,226,228,229,230,231,232,233,234,235,236,237,238,
239,240,241,242,243,244,245,246,247,249,250,252,253,306,333,334,335,339,340,
344,345,347,348,350,351,352,359,438,439,440,441,443,445,447,449,450,451,453,
455,456,458,480,481,484,486,487,488,491,492,493,494,496,497,498,502,503,504,
507,508,510,511,512,528,530,532,534,540,542,547,553,555,557,558,559,560,564,
568,569,570,571,572,573,575,577,579,580,581,582,584,587,588,591,592,593,594,
595,596,597,599,600,601,602,622,623,624,625,626,627,629,630,631,632,633,634,
635,636,639,640,641,643,644,645,646,647,648,649,650,651,652,653,654,655,656,
657,658,659,661,662,663,664,666,667,668,669,796,797,798,849,851,853,860,861,
863,864,879,885,886,887,888,889,890,997,999,1000,1002,1004,1005,1009,1012,
1014,1016,1018,1021,1023,1024,1026,1027,1058,1060,1061,1063,1070,1072,1074,
1075,1076,1078,1080,1081,1083,1086,1088,1094,1095,1096,1099,1100,1101,1102,
1116,1118,1119,1121,1123,1130,1132,1133,1136,1142,1143,1144,1145,1146,1147,
1149,1151,1152,1153,1155,1156,1157,1158,1159,1160,1161,1163,1164,1165,1169,
1171,1173,1174,1175,1176,1177,1178,1191,1192,1193,1195,1196,1197,1198,1199,
1200,1201,1203,1208,1209,1214,1215,1216,1217,1218,1221,1419,1422,1423,1424,
1490,1499,1501,1502,1503,1504,1505,1506,1510,1511,1512,1513,1514,1515,1608,
1610,1612,1614,1616,1617,1619,1625,1627,1632,1633,1634,1635,1637,1666,1668,
1673,1675,1677,1679,1682,1684,1685,1688,1690,1694,1695,1696,1697,1699,1705,
1706,1707,1709,1710,1713,1714,1715,1719,1720,1721,1722,1723,1724,1965,1967,
1968,1969,1970,1971,1972,1973,2042,2043,2044,2049,2050,2051,2052,2129,2133,
2135,2137,2138,2147,2149,2151,2153,2163,2164,2360,2362,2363,2364,2365,2366,
2367,2368,2369,2370,2371,2372,2373,2411,2472,2599,2600,2601,2603,2604,2605,
2606,2743],[1,2,3,4,5,6,7,8,10,14,15,16,17,18,19,20,23,26,28,30,31,32,33,34,
35,36,39,41,42,43,44,45,46,49,50,51,52,53,54,55,56,57,58,59,70,72,73,74,92,94,
96,98,99,100,101,104,107,110,111,114,115,116,117,118,120,121,136,138,141,154,
157,160,161,162,163,164,165,166,167,168,169,175,177,181,182,183,184,185,186,
187,188,190,191,192,194,195,197,198,201,203,211,212,213,214,215,216,218,219,
220,221,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,
241,242,243,244,245,246,247,249,250,252,253,309,311,312,315,316,317,318,323,
325,326,353,372,374,376,383,385,387,388,389,390,393,397,400,402,403,404,413,
414,417,420,421,430,431,432,435,436,437,480,483,484,487,490,494,495,496,528,
529,530,531,540,541,549,550,551,552,553,554,555,556,557,558,559,560,561,563,
564,565,566,567,577,578,579,580,581,582,583,584,586,591,593,595,596,597,599,
600,601,602,622,623,624,625,626,627,629,630,631,632,633,634,635,636,639,640,
643,644,645,646,648,649,650,652,653,654,655,656,657,658,659,661,662,663,664,
666,667,668,669,800,802,803,808,809,817,818,819,820,821,834,838,839,840,842,
871,872,873,925,927,929,933,934,945,946,949,953,956,958,959,960,965,966,967,
968,984,987,1058,1067,1070,1071,1072,1073,1076,1077,1080,1082,1083,1116,1117,
1118,1119,1120,1130,1131,1132,1133,1137,1138,1139,1140,1141,1142,1144,1146,
1147,1149,1151,1159,1161,1162,1164,1167,1168,1169,1171,1172,1173,1174,1191,
1192,1193,1195,1196,1198,1199,1200,1201,1203,1214,1215,1216,1217,1218,1221,
1428,1431,1433,1439,1440,1444,1446,1469,1472,1474,1476,1477,1478,1479,1494,
1496,1497,1565,1569,1570,1572,1574,1584,1586,1592,1594,1599,1601,1603,1666,
1667,1671,1672,1673,1674,1677,1678,1681,1705,1707,1713,1715,1976,1980,1981,
2008,2010,2011,2025,2026,2031,2032,2033,2034,2035,2037,2038,2039,2041,2115,
2117,2119,2147,2148,2159,2160,2374,2382,2386,2387,2400,2401,2405,2407,2468,
2607,2609,2610,2744],[1,2,3,4,5,6,7,8,10,14,15,16,17,18,19,20,23,26,28,30,31,
32,33,34,35,36,39,41,42,43,44,45,46,49,50,51,52,53,54,55,56,57,58,59,70,72,73,
74,92,94,96,98,99,100,101,104,107,110,111,114,115,116,117,118,120,121,136,138,
141,154,157,160,161,162,163,164,165,166,167,168,169,175,177,181,182,183,184,
185,186,187,188,190,191,192,194,195,197,198,201,203,211,212,213,214,215,216,
218,219,220,221,224,225,226,227,228,229,230,231,232,233,234,235,237,240,246,
247,248,251,309,311,312,315,316,317,318,323,325,326,353,372,374,376,383,385,
387,388,389,390,393,397,400,402,403,404,413,414,417,420,421,430,431,432,435,
436,437,480,483,484,487,490,494,495,496,528,529,530,531,540,541,549,550,551,
552,553,554,555,556,557,558,559,560,561,563,564,565,566,567,577,578,579,580,
581,582,583,584,586,592,594,598,603,622,623,624,625,626,627,630,633,636,637,
638,643,644,645,647,651,660,665,800,802,803,808,809,817,818,819,820,821,834,
839,841,871,872,873,925,927,929,933,934,945,946,949,953,956,958,959,960,965,
966,967,968,984,987,1058,1067,1070,1071,1072,1073,1078,1079,1081,1084,1116,
1117,1118,1119,1120,1130,1131,1132,1133,1137,1138,1139,1140,1141,1143,1145,
1148,1150,1160,1163,1165,1166,1170,1192,1194,1197,1202,1219,1220,1428,1431,
1433,1439,1440,1445,1447,1469,1472,1474,1476,1477,1478,1479,1494,1496,1497,
1565,1569,1570,1573,1575,1584,1586,1592,1594,1600,1602,1666,1667,1671,1672,
1675,1676,1679,1680,1706,1708,1714,1716,1976,1982,1983,2008,2010,2011,2025,
2026,2031,2032,2033,2034,2035,2038,2040,2115,2118,2120,2149,2150,2161,2162,
2375,2382,2386,2387,2400,2401,2406,2408,2469,2607,2611,2612,2745],[1,3,4,5,6,
7,8,10,22,23,25,26,28,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,48,49,
50,51,52,53,54,55,56,57,58,59,70,73,74,129,130,131,132,133,134,135,136,138,
139,141,149,150,151,152,154,156,157,158,162,163,164,165,166,167,168,169,175,
177,181,183,184,185,186,187,188,189,190,191,194,196,197,199,200,201,202,204,
205,206,207,208,210,211,212,213,214,215,217,218,219,220,221,223,224,225,226,
228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,
247,248,249,250,251,252,253,310,311,314,315,316,317,318,324,325,326,353,460,
461,462,463,465,467,468,469,470,471,472,474,475,477,479,480,482,484,485,487,
489,494,496,513,515,517,518,520,522,523,527,528,529,530,531,536,537,538,539,
540,543,544,553,555,557,558,559,560,561,562,563,564,565,567,577,579,580,581,
582,584,585,591,593,595,596,597,598,599,600,601,602,603,604,606,607,608,609,
610,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,
630,631,632,633,634,635,636,637,638,639,640,642,643,644,645,646,648,649,650,
652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,804,
806,807,808,810,816,817,819,820,821,834,837,838,839,840,841,842,872,873,1028,
1030,1031,1033,1034,1036,1037,1040,1043,1045,1047,1049,1050,1051,1053,1054,
1055,1056,1057,1058,1059,1064,1065,1070,1072,1076,1079,1080,1083,1084,1103,
1105,1107,1109,1111,1112,1113,1114,1115,1116,1118,1119,1120,1126,1128,1129,
1130,1132,1133,1135,1142,1144,1146,1147,1148,1149,1150,1151,1159,1161,1164,
1166,1169,1170,1171,1173,1174,1179,1180,1181,1182,1183,1184,1185,1186,1187,
1188,1189,1190,1191,1192,1193,1194,1195,1196,1198,1199,1200,1201,1202,1203,
1204,1205,1206,1207,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,
1221,1434,1436,1438,1439,1443,1444,1446,1447,1469,1473,1475,1476,1477,1478,
1479,1484,1485,1495,1496,1497,1638,1640,1642,1643,1646,1647,1648,1650,1654,
1656,1659,1660,1661,1663,1665,1666,1670,1673,1676,1677,1680,1700,1702,1703,
1704,1705,1707,1708,1711,1712,1713,1715,1716,1717,1718,1726,1727,1728,1729,
1730,1731,1732,1733,1978,1979,1980,1983,1985,2009,2010,2012,2027,2028,2030,
2031,2033,2034,2035,2036,2037,2038,2039,2040,2041,2139,2141,2143,2145,2146,
2147,2150,2155,2158,2165,2166,2376,2384,2386,2402,2403,2404,2405,2407,2408,
2409,2410,2476,2608,2609,2612,2622,2623,2746],[1,3,4,5,6,7,8,10,22,23,25,26,
28,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,48,49,50,51,52,53,54,55,56,
57,58,59,70,73,74,129,130,131,132,133,134,135,136,138,139,141,149,150,151,152,
154,156,157,158,162,163,164,165,166,167,168,169,175,177,181,182,183,184,185,
186,187,188,189,190,191,192,194,195,196,197,199,200,201,202,204,205,206,207,
208,210,211,212,213,214,215,217,218,219,220,221,223,224,225,226,227,228,229,
230,231,232,233,234,235,237,240,246,247,310,311,314,315,316,317,318,324,325,
326,353,460,461,462,463,465,467,468,469,470,471,472,474,475,477,479,480,482,
484,485,487,489,494,495,496,513,515,517,518,520,522,523,527,528,529,530,531,
536,537,538,539,540,543,544,553,554,555,556,557,558,559,560,561,562,563,564,
565,566,567,577,578,579,580,581,582,583,584,585,586,592,594,604,606,607,608,
609,610,612,613,622,623,624,625,626,627,628,630,633,636,642,643,644,645,647,
651,804,806,807,808,810,816,817,818,819,820,821,834,837,839,872,873,1028,1030,
1031,1033,1034,1036,1037,1040,1043,1045,1047,1049,1050,1051,1053,1058,1059,
1064,1065,1070,1071,1072,1073,1077,1078,1081,1082,1103,1105,1107,1109,1111,
1116,1117,1118,1119,1120,1126,1128,1129,1130,1131,1132,1133,1135,1143,1145,
1160,1162,1163,1165,1167,1168,1172,1179,1180,1185,1186,1192,1197,1434,1436,
1438,1439,1440,1443,1445,1469,1473,1475,1476,1477,1478,1479,1495,1496,1497,
1638,1640,1642,1644,1645,1648,1650,1654,1656,1662,1664,1666,1667,1670,1674,
1675,1678,1679,1681,1700,1702,1706,1714,1978,1981,1982,2009,2010,2012,2027,
2028,2030,2031,2032,2033,2034,2035,2036,2038,2139,2142,2144,2148,2149,2156,
2157,2377,2384,2386,2387,2402,2403,2404,2406,2477,2608,2610,2611,2747],[1,3,4,
5,6,7,8,12,22,23,25,26,28,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,48,
49,50,51,52,53,54,55,56,57,58,59,78,79,80,129,130,131,132,133,134,135,136,138,
139,141,149,150,151,152,154,156,157,158,162,163,164,165,166,167,168,169,175,
177,181,183,184,185,186,187,188,189,190,191,194,196,197,199,200,201,202,204,
205,206,207,208,210,211,212,213,214,215,217,218,219,220,221,223,224,225,226,
228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,
247,248,249,250,251,252,253,319,332,355,358,360,361,460,461,462,463,465,467,
468,469,470,471,472,474,475,477,479,480,482,484,485,487,489,494,496,513,515,
517,518,520,522,523,527,528,529,530,531,536,537,538,539,540,543,544,553,555,
557,558,559,560,561,562,563,564,565,567,577,579,580,581,582,584,585,591,593,
595,596,597,598,599,600,601,602,603,604,606,607,608,609,610,612,613,614,615,
616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,
635,636,637,638,639,640,642,643,644,645,646,648,649,650,652,653,654,655,656,
657,658,659,660,661,662,663,664,665,666,667,668,669,822,823,824,876,877,878,
882,883,884,891,892,893,894,896,897,1028,1030,1031,1033,1034,1036,1037,1040,
1043,1045,1047,1049,1050,1051,1053,1054,1055,1056,1057,1058,1059,1064,1065,
1070,1072,1076,1079,1080,1083,1084,1103,1105,1107,1109,1111,1112,1113,1114,
1115,1116,1118,1119,1120,1126,1128,1129,1130,1132,1133,1135,1142,1144,1146,
1147,1148,1149,1150,1151,1159,1161,1164,1166,1169,1170,1171,1173,1174,1179,
1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,
1195,1196,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1210,1211,1212,
1213,1214,1215,1216,1217,1218,1219,1220,1221,1448,1470,1498,1500,1509,1516,
1517,1519,1520,1638,1640,1642,1643,1646,1647,1648,1650,1654,1656,1659,1660,
1661,1663,1665,1666,1670,1673,1676,1677,1680,1700,1702,1703,1704,1705,1707,
1708,1711,1712,1713,1715,1716,1717,1718,1726,1727,1728,1729,1730,1731,1732,
1733,2014,2015,2016,2017,2019,2045,2046,2047,2056,2057,2058,2139,2141,2143,
2145,2146,2147,2150,2155,2158,2165,2166,2388,2390,2394,2412,2413,2415,2416,
2476,2613,2748],[1,3,5,6,7,8,13,21,23,24,26,27,28,29,30,32,34,35,41,42,45,46,
47,49,50,51,52,53,55,56,57,58,59,81,83,84,86,87,88,89,123,124,125,126,128,136,
137,138,140,141,142,143,144,146,147,148,154,155,157,159,162,164,166,168,170,
171,173,174,175,176,177,178,179,180,181,183,184,185,186,187,191,193,194,213,
214,215,218,219,220,221,222,224,225,226,228,229,230,231,232,233,234,235,236,
237,238,239,240,241,242,243,244,245,246,247,249,250,252,253,320,333,334,335,
339,340,344,345,347,348,350,351,352,359,438,439,440,441,443,445,447,449,450,
451,453,455,456,458,480,481,484,486,487,488,491,492,493,494,496,497,498,502,
503,504,507,508,510,511,512,528,530,532,534,540,542,547,553,555,557,558,559,
560,564,568,569,570,571,572,573,575,577,579,580,581,582,584,587,588,591,592,
593,594,595,596,597,599,600,601,602,622,623,624,625,626,627,629,630,631,632,
633,634,635,636,639,640,641,643,644,645,646,647,648,649,650,651,652,653,654,
655,656,657,658,659,661,662,663,664,666,667,668,669,825,827,828,829,831,832,
833,849,851,853,860,861,863,864,879,885,886,887,888,889,890,895,997,999,1000,
1002,1004,1005,1009,1012,1014,1016,1018,1021,1023,1024,1026,1027,1058,1060,
1061,1063,1070,1072,1074,1075,1076,1078,1080,1081,1083,1086,1088,1094,1095,
1096,1099,1100,1101,1102,1116,1118,1119,1121,1123,1130,1132,1133,1136,1142,
1143,1144,1145,1146,1147,1149,1151,1152,1153,1155,1156,1157,1158,1159,1160,
1161,1163,1164,1165,1169,1171,1173,1174,1175,1176,1177,1178,1191,1192,1193,
1195,1196,1197,1198,1199,1200,1201,1203,1208,1209,1214,1215,1216,1217,1218,
1221,1449,1450,1451,1455,1456,1459,1461,1462,1463,1466,1467,1468,1490,1499,
1501,1502,1503,1504,1505,1506,1507,1510,1511,1512,1513,1514,1515,1608,1610,
1612,1614,1616,1617,1619,1625,1627,1632,1633,1634,1635,1637,1666,1668,1673,
1675,1677,1679,1682,1684,1685,1688,1690,1694,1695,1696,1697,1699,1705,1706,
1707,1709,1710,1713,1714,1715,1719,1720,1721,1722,1723,1724,1986,1988,1989,
1996,1998,1999,2001,2018,2042,2043,2044,2048,2049,2050,2051,2052,2129,2133,
2135,2137,2138,2147,2149,2151,2153,2163,2164,2378,2389,2391,2393,2411,2472,
2614,2616,2618,2749],[1,3,4,5,6,7,8,13,22,23,25,26,28,30,31,32,33,34,35,36,37,
38,39,40,41,42,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,82,83,85,86,88,
129,130,131,132,133,134,135,136,138,139,141,149,150,151,152,154,156,157,158,
162,163,164,165,166,167,168,169,175,177,181,183,184,185,186,187,188,189,190,
191,194,196,197,199,200,201,202,204,205,206,207,208,210,211,212,213,214,215,
217,218,219,220,221,223,224,225,226,228,229,230,231,232,233,234,235,236,237,
238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,320,336,337,
338,339,342,343,344,346,347,359,460,461,462,463,465,467,468,469,470,471,472,
474,475,477,479,480,482,484,485,487,489,494,496,513,515,517,518,520,522,523,
527,528,529,530,531,536,537,538,539,540,543,544,553,555,557,558,559,560,561,
562,563,564,565,567,577,579,580,581,582,584,585,591,593,595,596,597,598,599,
600,601,602,603,604,606,607,608,609,610,612,613,614,615,616,617,618,619,620,
621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,
640,642,643,644,645,646,648,649,650,652,653,654,655,656,657,658,659,660,661,
662,663,664,665,666,667,668,669,826,827,829,830,832,854,856,857,859,860,868,
869,879,887,889,895,1028,1030,1031,1033,1034,1036,1037,1040,1043,1045,1047,
1049,1050,1051,1053,1054,1055,1056,1057,1058,1059,1064,1065,1070,1072,1076,
1079,1080,1083,1084,1103,1105,1107,1109,1111,1112,1113,1114,1115,1116,1118,
1119,1120,1126,1128,1129,1130,1132,1133,1135,1142,1144,1146,1147,1148,1149,
1150,1151,1159,1161,1164,1166,1169,1170,1171,1173,1174,1179,1180,1181,1182,
1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1198,
1199,1200,1201,1202,1203,1204,1205,1206,1207,1210,1211,1212,1213,1214,1215,
1216,1217,1218,1219,1220,1221,1452,1453,1454,1455,1457,1459,1460,1462,1464,
1492,1499,1503,1505,1507,1518,1638,1640,1642,1643,1646,1647,1648,1650,1654,
1656,1659,1660,1661,1663,1665,1666,1670,1673,1676,1677,1680,1700,1702,1703,
1704,1705,1707,1708,1711,1712,1713,1715,1716,1717,1718,1726,1727,1728,1729,
1730,1731,1732,1733,1991,1993,1994,1996,1997,2002,2003,2018,2043,2048,2053,
2054,2139,2141,2143,2145,2146,2147,2150,2155,2158,2165,2166,2380,2389,2392,
2414,2476,2614,2617,2619,2750],[1,3,5,6,7,8,13,21,23,24,26,27,28,29,30,32,34,
35,43,44,45,48,50,51,54,55,56,57,58,81,83,84,86,87,88,89,123,124,125,126,128,
136,137,138,140,141,142,143,144,146,147,148,156,158,160,161,162,164,167,169,
171,173,175,176,179,181,183,184,185,186,187,191,195,196,216,217,218,220,223,
225,227,229,231,232,236,237,238,239,240,241,242,246,249,250,251,320,333,334,
335,341,342,344,345,346,349,350,351,359,438,439,440,442,444,445,448,449,451,
453,455,456,459,482,483,484,486,489,490,491,492,494,496,499,500,502,505,506,
507,510,511,512,536,538,544,546,549,551,553,556,557,559,565,570,571,576,577,
579,581,583,587,591,592,593,594,595,597,599,600,603,628,629,630,631,638,639,
642,646,647,648,649,658,659,661,665,825,827,828,829,831,832,833,850,851,852,
866,867,869,870,879,885,886,887,888,889,890,895,998,999,1001,1002,1004,1007,
1011,1012,1014,1017,1019,1021,1023,1026,1027,1064,1066,1067,1069,1070,1073,
1074,1076,1078,1080,1081,1084,1090,1092,1094,1097,1098,1099,1101,1102,1126,
1128,1135,1137,1139,1142,1143,1147,1150,1155,1156,1159,1160,1162,1166,1169,
1172,1175,1176,1204,1207,1210,1212,1449,1450,1451,1457,1458,1459,1461,1464,
1465,1466,1467,1491,1501,1503,1504,1507,1510,1511,1512,1513,1609,1610,1613,
1614,1616,1621,1624,1630,1632,1634,1636,1670,1671,1673,1675,1678,1680,1682,
1684,1692,1694,1696,1698,1711,1717,1987,1988,1990,2002,2004,2005,2007,2018,
2049,2054,2131,2133,2136,2155,2157,2159,2161,2379,2389,2391,2393,2474,2615,
2616,2619,2751],[1,3,4,5,6,7,8,13,22,23,25,26,27,28,29,30,31,32,33,34,35,36,
37,38,39,40,42,43,44,45,46,47,50,51,52,53,54,55,56,57,58,59,82,83,84,85,86,88,
89,129,130,131,132,133,134,135,136,137,138,139,141,142,149,150,151,152,155,
159,160,161,162,163,164,165,166,167,168,169,170,171,173,174,175,178,179,180,
181,183,184,185,186,187,188,189,190,191,193,194,195,198,199,200,202,203,205,
207,208,209,211,212,214,215,216,218,219,220,221,222,225,226,227,228,229,231,
232,233,234,235,236,237,238,239,240,241,242,244,245,246,247,248,249,250,320,
336,337,338,340,341,343,344,348,349,350,352,359,460,461,462,464,466,467,468,
469,470,471,472,474,475,477,479,481,483,484,485,488,490,491,493,494,496,514,
516,517,519,521,522,523,526,532,533,534,535,547,548,549,550,551,552,553,556,
557,559,561,562,563,564,565,566,568,570,571,572,573,575,577,579,581,583,587,
588,589,591,593,594,595,597,598,599,600,605,607,610,611,614,615,616,617,624,
626,629,630,631,633,634,637,639,641,646,647,648,649,650,651,653,654,656,658,
659,660,661,826,827,828,829,830,832,833,855,856,858,862,863,865,866,879,886,
887,889,890,895,1029,1030,1032,1033,1034,1038,1039,1042,1043,1045,1046,1048,
1050,1051,1053,1054,1055,1061,1062,1067,1068,1070,1073,1074,1075,1076,1079,
1080,1081,1104,1106,1107,1108,1110,1112,1113,1121,1123,1125,1136,1137,1139,
1141,1142,1145,1147,1148,1152,1153,1155,1157,1158,1159,1162,1163,1165,1169,
1170,1172,1175,1177,1178,1181,1183,1187,1188,1196,1197,1208,1209,1452,1453,
1454,1456,1458,1459,1460,1463,1465,1466,1468,1493,1502,1503,1506,1507,1512,
1514,1515,1518,1639,1640,1641,1643,1646,1651,1653,1657,1659,1662,1664,1665,
1668,1671,1673,1676,1678,1679,1682,1685,1701,1703,1709,1719,1721,1723,1725,
1992,1993,1995,1999,2000,2005,2006,2018,2051,2053,2140,2141,2144,2151,2154,
2159,2162,2381,2389,2392,2393,2478,2615,2617,2618,2752],[1,2,3,4,5,6,9,10,11,
12,13,14,15,16,17,18,23,26,28,36,41,42,43,44,49,61,62,63,64,65,66,67,68,69,70,
71,72,73,75,76,79,81,83,84,85,92,94,96,104,114,115,116,136,154,157,160,161,
197,198,254,255,256,257,258,264,265,266,267,268,269,270,271,274,275,278,279,
280,281,282,283,284,285,286,287,288,289,290,291,292,293,309,311,312,321,333,
339,340,343,346,349,353,354,355,372,383,385,413,414,480,483,670,671,672,673,
674,675,676,677,678,679,681,682,683,685,687,688,689,691,693,697,717,719,721,
723,724,725,726,727,728,729,733,736,737,744,745,746,747,752,753,754,755,756,
760,761,762,763,764,765,766,800,834,835,849,852,859,862,871,872,874,875,877,
898,925,1222,1223,1224,1225,1226,1229,1230,1231,1232,1233,1234,1235,1236,1237,
1238,1243,1244,1245,1246,1249,1253,1259,1260,1261,1263,1265,1266,1268,1270,
1273,1274,1284,1292,1293,1321,1323,1325,1330,1331,1332,1333,1346,1352,1353,
1358,1359,1469,1472,1474,1480,1521,1522,1523,1524,1526,1734,1735,1736,1737,
1738,1739,1740,1743,1750,1754,1755,1756,1757,1758,1761,1768,1769,1770,1771,
1772,1773,1774,1782,1783,1788,1789,1800,1802,1804,1808,1809,1810,1811,1812,
1813,1839,1842,1843,1847,1879,2008,2059,2060,2061,2062,2063,2071,2167,2168,
2169,2172,2174,2183,2186,2188,2189,2194,2195,2196,2197,2198,2199,2222,2223,
2264,2417,2427,2428,2429,2431,2432,2480,2494,2626,2627,2628,2630,2632,2753],[
1,3,5,6,7,8,9,10,11,12,13,23,24,26,28,29,32,35,41,42,45,46,49,51,53,64,65,66,
67,69,70,71,74,80,81,83,84,86,87,88,89,136,140,142,143,147,154,157,159,164,
168,176,178,213,215,254,255,256,257,258,281,282,283,284,285,288,290,292,293,
311,313,317,333,334,335,339,340,344,345,347,348,350,351,352,353,354,355,480,
486,488,497,503,530,542,673,675,677,678,679,681,682,684,685,686,691,694,695,
698,752,754,755,760,762,811,834,835,849,851,853,860,861,863,864,873,878,898,
1060,1236,1243,1244,1245,1247,1249,1250,1251,1253,1254,1259,1260,1264,1265,
1267,1269,1270,1271,1273,1274,1288,1292,1293,1358,1469,1471,1478,1490,1522,
1524,1527,1768,1769,1770,1772,1773,1775,1777,1778,1779,1782,1785,1786,1788,
1790,1792,1793,1801,1803,1810,1839,1844,1845,1848,2013,2062,2065,2067,2071,
2195,2197,2200,2203,2204,2206,2212,2218,2265,2421,2427,2428,2433,2497,2627,
2629,2633,2754],[1,3,4,5,6,9,10,11,12,13,23,25,26,28,33,36,37,41,42,44,49,54,
64,65,66,67,69,70,71,73,77,78,81,82,83,84,136,139,149,151,154,157,158,165,169,
197,199,206,254,255,256,257,258,281,282,283,284,285,288,290,292,293,311,314,
318,327,328,329,333,336,339,340,341,342,353,354,355,480,485,489,513,518,531,
543,673,675,677,678,679,680,681,682,685,690,691,692,696,752,754,755,760,762,
810,834,835,843,844,845,849,850,854,855,872,876,898,1059,1236,1243,1244,1245,
1248,1249,1252,1253,1255,1256,1259,1260,1262,1265,1270,1272,1273,1274,1286,
1292,1293,1358,1469,1475,1479,1486,1522,1524,1525,1768,1769,1770,1772,1773,
1776,1780,1781,1782,1784,1787,1788,1791,1794,1795,1799,1810,1839,1840,1841,
1846,2012,2062,2066,2068,2071,2195,2197,2201,2202,2208,2210,2213,2217,2263,
2422,2427,2428,2430,2498,2627,2631,2634,2755],[1,2,3,4,5,6,9,10,11,12,13,14,
16,17,24,25,26,29,36,37,41,42,43,44,61,63,64,65,66,70,72,73,75,77,78,81,82,83,
84,93,94,97,114,115,143,149,154,158,159,160,197,199,254,255,256,257,258,265,
266,267,278,281,284,285,286,287,309,313,314,327,328,329,333,336,339,340,341,
342,353,354,355,378,383,386,497,500,513,516,671,672,673,674,679,680,681,682,
687,690,691,692,696,723,725,726,744,745,752,753,801,834,843,844,845,849,850,
854,855,871,872,874,876,898,935,1229,1230,1231,1234,1247,1248,1249,1250,1255,
1256,1259,1260,1261,1262,1273,1274,1286,1292,1293,1330,1471,1472,1475,1486,
1521,1524,1525,1749,1750,1751,1754,1755,1768,1778,1780,1782,1783,1784,1785,
1794,1795,1808,1809,1812,1839,1840,1841,1846,2020,2060,2065,2066,2071,2182,
2183,2184,2194,2204,2205,2208,2209,2263,2418,2428,2429,2430,2487,2629,2630,
2631,2756],[1,2,3,4,5,6,9,10,11,12,13,15,16,18,24,26,29,33,36,41,42,43,44,54,
61,62,64,65,66,68,70,72,73,76,79,81,83,84,85,104,109,113,114,116,143,154,159,
161,165,169,197,198,254,255,256,257,258,266,268,270,271,274,275,281,284,285,
286,289,291,312,313,318,333,339,340,343,346,349,353,354,355,413,419,423,497,
506,531,548,670,673,674,676,679,681,682,683,688,689,691,693,697,725,727,729,
733,736,737,752,756,761,763,813,834,849,852,859,862,871,872,875,877,898,986,
1223,1225,1226,1237,1247,1249,1250,1252,1259,1260,1263,1266,1268,1272,1273,
1274,1284,1292,1293,1332,1346,1471,1474,1479,1523,1524,1526,1737,1739,1740,
1745,1747,1768,1778,1782,1785,1787,1789,1791,1800,1802,1809,1811,1813,1839,
1842,1843,1847,2022,2063,2065,2068,2071,2172,2176,2178,2196,2204,2207,2213,
2219,2264,2423,2428,2431,2432,2484,2629,2632,2634,2757],[1,2,3,5,6,7,8,9,10,
11,12,13,14,16,17,26,32,33,35,41,42,43,45,46,51,53,54,61,63,64,65,66,70,72,74,
75,80,81,83,84,86,87,88,89,94,99,101,114,115,121,154,160,164,165,168,169,213,
215,254,255,256,257,258,265,266,267,278,281,284,285,286,287,309,317,318,333,
334,335,339,340,344,345,347,348,350,351,352,353,354,355,383,388,390,530,531,
551,552,671,672,673,674,679,681,682,684,686,687,691,694,695,698,723,725,726,
744,745,752,753,803,834,849,851,853,860,861,863,864,871,873,874,878,898,946,
1229,1230,1231,1234,1249,1251,1252,1254,1259,1260,1261,1264,1267,1269,1271,
1272,1273,1274,1288,1292,1293,1330,1472,1478,1479,1490,1521,1524,1527,1750,
1752,1753,1754,1755,1759,1768,1782,1783,1786,1787,1790,1791,1801,1803,1808,
1809,1812,1839,1844,1845,1848,2026,2060,2067,2068,2071,2183,2185,2187,2194,
2212,2213,2214,2215,2265,2419,2428,2429,2433,2489,2630,2633,2634,2758],[1,2,3,
4,5,6,7,8,9,10,11,12,13,15,16,18,19,20,25,26,32,35,36,37,38,40,41,42,43,44,45,
46,51,53,61,62,64,65,66,68,70,72,73,74,76,77,78,79,80,81,82,83,84,85,86,87,88,
89,104,108,112,114,116,117,118,122,149,154,158,161,164,168,197,198,199,200,
202,203,213,215,216,217,254,255,256,257,258,266,268,270,271,272,273,274,275,
276,277,281,284,285,286,289,291,312,314,317,323,324,327,328,329,330,331,332,
333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,
352,353,354,355,413,418,422,431,433,513,521,530,546,604,605,670,673,674,676,
679,680,681,682,683,684,686,688,689,690,691,692,693,694,695,696,697,698,725,
727,729,733,734,735,736,737,738,739,740,741,742,743,752,756,761,763,812,834,
843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,
862,863,864,865,866,867,868,869,870,871,872,873,875,876,877,878,898,985,1223,
1225,1226,1227,1228,1237,1248,1249,1251,1254,1255,1256,1257,1258,1259,1260,
1262,1263,1264,1266,1267,1268,1269,1271,1273,1274,1283,1284,1285,1286,1287,
1288,1289,1291,1292,1293,1332,1345,1346,1347,1348,1349,1350,1351,1474,1475,
1478,1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1498,1523,1524,1525,
1526,1527,1737,1739,1740,1741,1742,1744,1746,1748,1768,1780,1782,1784,1786,
1789,1790,1794,1795,1796,1797,1798,1800,1801,1802,1803,1805,1806,1807,1809,
1811,1813,1834,1839,1840,1841,1842,1843,1844,1845,1846,1847,1848,1903,2029,
2063,2064,2066,2067,2069,2071,2172,2173,2175,2177,2179,2196,2208,2211,2212,
2216,2220,2221,2263,2264,2265,2266,2267,2268,2269,2270,2424,2428,2430,2431,
2432,2433,2483,2545,2631,2632,2633,2635,2636,2759],[1,2,3,4,5,6,9,10,11,12,13,
15,16,18,21,25,26,27,36,37,41,42,43,44,47,61,63,65,67,68,69,70,71,72,73,75,76,
83,102,104,105,114,116,124,149,154,155,158,161,197,198,199,254,255,256,257,
258,266,278,279,280,284,286,287,288,289,290,291,294,295,296,300,301,303,304,
305,306,307,308,312,314,321,322,339,353,354,355,356,357,405,413,415,441,444,
513,514,671,672,674,675,676,681,687,725,731,744,746,747,748,749,760,761,765,
766,767,768,770,771,775,783,790,796,799,834,835,871,872,874,875,898,973,1230,
1235,1239,1240,1259,1261,1273,1274,1275,1276,1277,1278,1279,1280,1281,1292,
1293,1335,1352,1354,1356,1364,1365,1376,1377,1386,1389,1417,1418,1419,1420,
1421,1474,1475,1480,1481,1521,1754,1760,1762,1808,1809,1810,1811,1812,1814,
1822,1825,1891,1904,1959,1966,2070,2071,2190,2222,2224,2225,2228,2229,2230,
2244,2245,2251,2252,2420,2429,2491,2501,2520,2523,2637,2760],[1,3,5,6,9,10,11,
12,13,21,23,24,26,27,28,29,41,42,47,49,64,65,66,67,69,70,71,81,83,84,123,124,
125,136,137,143,144,154,155,157,159,170,254,255,256,257,258,281,282,283,284,
285,288,290,292,293,294,296,297,298,301,303,304,305,306,307,308,311,313,333,
339,340,353,354,355,356,357,438,441,443,480,481,497,498,673,675,679,681,682,
691,752,754,755,757,759,760,762,767,769,770,772,776,778,779,782,783,784,789,
796,797,798,834,835,849,898,997,1236,1239,1241,1249,1259,1260,1273,1274,1275,
1276,1277,1278,1279,1280,1281,1292,1293,1358,1360,1362,1364,1366,1368,1370,
1383,1386,1388,1417,1418,1419,1420,1421,1422,1423,1469,1471,1524,1764,1768,
1782,1810,1814,1815,1817,1821,1826,1839,1908,1920,1957,1965,2070,2071,2195,
2224,2226,2228,2229,2231,2233,2244,2245,2251,2252,2425,2428,2495,2505,2518,
2535,2637,2761],[1,2,3,5,6,9,10,11,12,13,14,16,17,21,22,26,27,41,42,43,47,48,
61,63,65,67,69,70,71,72,75,83,91,94,95,114,115,119,124,130,154,155,156,160,
254,255,256,257,258,264,266,269,278,284,286,287,288,290,294,296,299,301,302,
303,304,305,306,307,308,309,310,339,353,354,355,356,357,368,383,384,441,442,
463,464,671,672,674,675,681,687,715,717,718,725,728,730,744,760,764,767,770,
773,774,781,783,788,793,796,834,835,871,874,880,898,916,1230,1238,1239,1242,
1259,1261,1273,1274,1275,1276,1277,1278,1279,1280,1281,1292,1293,1311,1321,
1322,1364,1367,1372,1375,1380,1386,1387,1417,1418,1419,1420,1421,1472,1473,
1521,1754,1766,1808,1809,1810,1812,1814,1816,1818,1819,1820,1864,1912,1958,
1962,2070,2071,2223,2224,2227,2228,2229,2232,2234,2244,2245,2251,2252,2426,
2429,2503,2506,2507,2519,2637,2762],[1,2,3,4,7,9,10,11,12,13,14,15,19,21,22,
25,30,31,32,33,38,55,61,63,67,68,70,71,72,73,74,75,76,91,98,99,102,108,126,
127,132,133,150,181,182,188,254,255,256,257,258,264,279,294,295,299,303,304,
305,306,307,308,309,310,312,314,315,316,317,318,321,322,323,324,325,359,360,
370,396,397,451,452,454,472,671,672,674,675,676,687,715,731,748,781,785,786,
788,790,791,792,793,794,795,799,802,803,806,807,812,816,817,818,821,898,921,
1235,1238,1239,1240,1242,1275,1276,1278,1279,1280,1281,1290,1329,1381,1396,
1397,1399,1406,1409,1410,1411,1413,1414,1415,1416,1424,1425,1431,1436,1521,
1760,1762,1766,1816,1818,1820,1822,1823,1824,1825,1867,1916,1950,1956,2070,
2236,2239,2240,2241,2243,2246,2247,2249,2250,2420,2426,2510,2512,2516,2529,
2638,2763],[1,3,7,9,10,11,12,13,21,23,24,30,32,55,57,64,67,70,71,74,81,123,
126,138,140,146,181,184,186,254,255,256,257,258,282,294,298,303,304,305,306,
307,308,311,313,315,317,325,326,359,360,439,451,453,494,510,673,675,679,691,
757,782,785,789,791,794,797,808,811,815,817,819,820,885,898,1002,1236,1239,
1241,1275,1276,1278,1279,1280,1281,1290,1384,1396,1398,1407,1410,1412,1415,
1424,1425,1439,1442,1524,1764,1815,1821,1823,1826,1835,1925,1952,1968,2070,
2237,2240,2242,2246,2247,2249,2250,2425,2514,2525,2531,2638,2764],[1,3,7,9,10,
11,12,13,21,30,32,55,57,67,70,71,74,80,86,87,126,181,186,236,237,238,254,255,
256,257,258,294,303,304,305,306,307,308,315,317,325,326,359,360,451,591,592,
675,684,694,695,698,785,791,794,817,820,838,839,840,887,888,891,898,1026,1239,
1275,1276,1278,1279,1280,1281,1290,1396,1410,1415,1424,1425,1444,1445,1527,
1823,1836,1837,1955,1970,1971,1974,2070,2240,2246,2247,2249,2250,2527,2532,
2533,2534,2638,2765],[1,2,3,4,5,6,9,14,15,16,17,18,21,22,23,24,25,26,27,28,29,
36,37,41,42,43,44,47,48,49,60,61,63,64,65,66,67,68,69,91,92,93,94,95,96,97,
102,103,104,105,106,114,115,116,119,123,124,125,129,130,131,136,137,143,144,
149,154,155,156,157,158,159,160,161,170,197,198,199,204,259,260,261,262,263,
264,265,266,267,268,269,270,278,279,280,281,282,283,284,285,286,287,288,289,
290,291,292,293,303,367,368,369,372,373,378,379,383,384,385,386,405,409,413,
414,415,416,438,441,442,443,444,460,463,464,465,466,480,481,482,483,497,498,
499,500,513,514,515,516,699,700,701,702,703,704,705,706,707,708,709,710,711,
717,719,721,723,724,725,726,727,728,729,731,744,745,746,747,752,753,754,755,
756,760,761,762,763,764,765,766,781,782,783,784,913,916,917,925,926,935,936,
973,974,979,980,997,998,1028,1029,1294,1295,1296,1297,1298,1299,1300,1301,
1302,1303,1304,1305,1306,1321,1323,1325,1330,1331,1332,1333,1334,1335,1336,
1352,1353,1358,1359,1380,1383,1386,1387,1388,1389,1549,1552,1849,1850,1851,
1852,1853,1854,1855,1879,1889,1891,1892,1912,1913,1920,1921,2093,2094,2095,
2096,2097,2272,2309,2446,2447,2448,2449,2450,2451,2452,2453,2454,2641,2642,
2643,2644,2645,2646,2647,2766],[1,2,3,4,5,6,7,8,13,15,16,18,19,20,22,23,24,25,
26,28,29,31,32,35,36,37,38,39,40,41,42,43,44,45,46,48,49,51,53,60,62,77,81,82,
83,84,85,86,87,88,89,103,104,106,107,108,111,112,114,116,117,118,122,129,130,
131,133,134,136,140,142,143,145,147,149,153,154,156,157,158,159,161,163,164,
167,168,176,178,197,198,199,200,201,202,203,204,210,213,215,216,217,259,260,
261,262,263,271,272,273,274,275,276,277,320,327,328,329,330,331,333,334,335,
336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,409,410,
412,413,416,417,418,421,422,427,428,431,433,460,463,465,466,468,470,480,482,
486,488,490,497,499,501,503,505,513,515,519,521,529,530,537,538,541,542,545,
546,604,605,699,700,701,702,703,704,705,706,707,708,709,710,711,732,733,734,
735,736,737,738,739,740,741,742,743,826,827,831,833,843,844,845,846,847,848,
849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,
868,869,870,979,981,983,984,985,993,994,1028,1032,1037,1041,1060,1066,1085,
1089,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1340,
1342,1344,1345,1346,1347,1348,1349,1350,1351,1452,1455,1457,1461,1463,1465,
1486,1487,1488,1489,1490,1491,1492,1493,1550,1606,1849,1850,1851,1852,1853,
1854,1855,1897,1900,1902,1903,1991,1995,1998,2004,2098,2099,2100,2101,2102,
2272,2314,2455,2456,2457,2458,2459,2460,2461,2462,2463,2648,2649,2650,2651,
2652,2653,2654,2767],[1,4,7,10,12,13,38,55,57,73,74,77,79,85,87,90,207,238,
248,257,324,325,326,330,359,360,363,614,690,693,694,712,713,714,837,840,841,
888,1287,1290,1307,1309,1484,1551,1837,2103,2279,2551,2657,2768],[1,2,3,4,9,
10,11,12,13,15,21,25,60,61,63,64,67,68,70,71,72,73,75,76,79,85,102,254,255,
256,257,258,259,260,263,268,279,294,295,303,304,305,306,307,308,312,314,321,
322,364,365,366,671,672,673,674,675,676,677,678,683,687,688,693,697,700,731,
748,790,799,898,902,904,905,907,908,909,910,911,912,1232,1235,1237,1239,1240,
1246,1275,1276,1278,1279,1280,1281,1310,1521,1522,1526,1531,1543,1546,1549,
1760,1762,1822,1825,1861,1862,1863,2061,2070,2093,2281,2285,2286,2287,2420,
2558,2563,2566,2660,2769],[1,2,3,9,10,11,12,13,14,21,22,60,61,62,63,64,67,70,
71,72,75,91,254,255,256,257,258,260,264,265,294,299,303,304,305,306,307,308,
309,310,364,365,366,670,671,672,673,674,675,677,678,687,689,702,715,781,788,
793,898,904,908,911,1222,1234,1238,1239,1242,1275,1276,1278,1279,1280,1281,
1310,1521,1522,1523,1541,1544,1549,1766,1816,1818,1820,1862,2059,2070,2094,
2283,2285,2286,2287,2426,2559,2564,2660,2770],[1,3,9,10,11,12,13,21,23,24,60,
64,67,70,71,81,123,254,255,256,257,258,260,282,294,298,303,304,305,306,307,
308,311,313,364,365,366,673,675,677,678,679,691,704,757,782,789,797,898,904,
908,911,1236,1239,1241,1244,1275,1276,1278,1279,1280,1281,1310,1522,1524,1540,
1545,1549,1764,1815,1821,1826,1862,2062,2070,2095,2282,2285,2286,2287,2425,
2560,2565,2660,2771],[1,3,9,10,11,12,13,21,23,24,60,64,70,81,123,254,255,256,
257,258,260,303,304,305,311,313,319,320,365,673,679,691,782,789,825,898,908,
1247,1278,1282,1524,1549,1550,1821,1828,2065,2286,2288,2570,2772],[1,2,3,4,5,
6,7,8,9,13,14,15,16,17,18,19,20,21,22,25,26,27,30,31,32,33,34,35,36,37,38,39,
40,41,42,43,44,45,46,47,48,50,51,52,53,54,55,56,59,61,63,65,67,68,69,83,91,94,
95,98,99,100,101,102,104,105,108,110,112,114,115,116,117,118,119,120,121,122,
124,126,127,128,130,132,133,134,135,149,150,152,154,155,156,158,160,161,162,
163,164,165,166,167,168,169,171,172,173,174,181,182,183,188,189,190,191,192,
193,194,195,196,197,198,199,200,201,202,203,205,209,210,211,212,213,214,215,
216,217,218,219,222,223,225,226,227,228,235,255,264,266,269,278,279,280,284,
286,287,288,289,290,291,294,295,296,299,300,301,302,303,306,339,359,368,370,
371,383,384,387,388,389,390,391,392,396,397,399,400,404,405,407,413,415,418,
420,422,425,429,430,431,432,433,434,435,436,441,442,444,445,446,447,448,451,
452,454,455,457,458,459,463,464,467,468,469,470,472,475,476,479,513,514,517,
520,521,524,526,527,528,529,530,531,532,533,534,535,536,537,538,539,544,546,
549,550,551,552,553,554,555,556,561,562,563,564,565,566,567,570,572,574,575,
576,604,605,606,611,612,613,622,624,641,671,681,715,717,718,725,728,730,731,
744,746,747,748,749,760,761,764,765,766,767,768,770,771,773,774,775,781,783,
785,786,787,796,879,916,918,919,921,923,945,946,947,948,952,953,955,956,960,
961,962,973,976,978,985,991,996,1005,1006,1007,1008,1011,1012,1013,1015,1016,
1017,1019,1020,1036,1037,1038,1039,1043,1046,1047,1050,1103,1104,1108,1109,
1116,1117,1120,1121,1122,1124,1125,1126,1129,1137,1138,1141,1230,1259,1261,
1275,1311,1321,1322,1329,1335,1338,1352,1354,1356,1364,1365,1367,1372,1375,
1376,1377,1380,1381,1382,1386,1387,1389,1390,1391,1392,1393,1396,1397,1399,
1400,1402,1403,1404,1419,1424,1499,1557,1559,1561,1583,1584,1587,1588,1617,
1618,1620,1621,1622,1631,1648,1651,1754,1760,1814,1816,1864,1867,1883,1884,
1891,1894,1896,1904,1912,1914,1915,1916,1918,1928,1929,1930,1931,1934,1935,
1936,1938,1939,1940,1942,1943,1967,2109,2190,2228,2230,2232,2234,2246,2290,
2301,2302,2317,2319,2321,2329,2330,2332,2333,2334,2341,2344,2360,2491,2506,
2510,2524,2571,2582,2664,2677,2679,2773],[1,2,3,4,5,6,7,8,9,13,14,15,16,17,18,
19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,45,50,51,55,
56,57,58,61,63,64,65,66,67,68,69,81,83,84,91,92,93,94,95,96,97,98,99,100,101,
102,103,104,105,106,107,108,109,110,111,112,113,117,120,122,123,124,125,126,
127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,
146,147,148,149,150,151,152,153,162,163,164,165,171,172,173,175,176,179,181,
182,183,184,185,186,187,188,189,190,191,192,200,205,207,208,218,220,225,229,
231,232,255,264,265,266,267,268,269,270,278,279,280,281,282,283,288,289,292,
294,295,296,297,298,299,300,303,306,333,359,367,368,369,370,371,372,373,374,
375,376,377,378,379,380,381,382,387,388,391,392,393,394,395,396,397,398,399,
400,401,402,403,404,405,406,407,408,409,410,411,412,417,418,419,424,425,426,
427,428,438,439,440,445,446,449,451,452,453,454,455,456,457,460,461,462,467,
468,471,472,473,474,475,476,477,478,479,484,485,486,491,492,494,495,496,501,
502,507,509,510,511,512,517,522,523,524,525,553,554,557,559,561,570,571,574,
577,578,579,581,587,607,610,671,679,681,682,715,717,718,719,720,721,722,723,
724,727,731,746,748,749,750,751,754,757,758,759,767,768,769,774,776,777,778,
781,782,783,784,785,786,787,796,797,798,879,885,886,913,914,915,918,920,921,
922,923,924,927,928,931,932,933,934,937,940,941,942,943,944,952,953,954,959,
961,962,963,964,965,966,969,970,971,972,975,981,999,1002,1003,1004,1012,1013,
1014,1015,1021,1022,1023,1030,1033,1034,1035,1043,1044,1045,1051,1052,1053,
1070,1071,1074,1093,1094,1099,1107,1229,1230,1231,1249,1275,1311,1312,1313,
1323,1324,1327,1328,1329,1334,1335,1336,1337,1338,1339,1354,1355,1360,1361,
1380,1381,1382,1383,1384,1385,1390,1391,1394,1396,1397,1398,1399,1400,1401,
1402,1422,1424,1501,1553,1555,1556,1559,1560,1563,1564,1569,1571,1578,1579,
1582,1610,1611,1640,1750,1760,1814,1815,1816,1817,1865,1867,1883,1884,1885,
1886,1887,1888,1889,1890,1893,1914,1916,1917,1918,1919,1922,1925,1926,1927,
1935,1936,1937,1938,1944,1945,1946,1967,1968,1969,2105,2190,2191,2192,2231,
2232,2246,2290,2291,2292,2303,2304,2307,2308,2319,2320,2325,2326,2362,2492,
2510,2524,2525,2526,2572,2664,2665,2666,2680,2774],[1,2,3,4,5,6,7,8,9,13,14,
15,16,17,18,19,20,21,22,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,42,43,
44,45,48,49,50,51,52,54,55,56,58,61,63,65,66,67,68,69,83,84,91,94,95,98,99,
100,101,102,104,105,108,110,112,115,116,117,120,122,124,125,126,127,128,130,
132,133,134,135,149,150,152,156,157,158,159,160,161,162,163,164,165,167,169,
170,171,172,173,175,176,177,178,179,180,181,182,183,185,188,189,190,191,192,
195,196,198,200,201,204,205,206,214,216,217,218,221,223,224,225,227,230,231,
233,234,255,264,266,269,278,279,280,285,286,287,288,289,291,292,293,294,295,
296,297,299,300,302,303,306,340,359,368,370,371,385,386,387,388,391,392,396,
397,399,400,404,405,407,414,416,418,421,423,425,432,437,442,443,444,445,446,
448,449,450,451,452,454,455,456,457,459,465,466,467,468,472,475,476,479,515,
516,517,518,519,524,536,538,540,541,542,543,544,545,546,547,548,549,551,553,
554,556,558,561,565,568,569,570,573,574,576,577,580,585,586,587,588,589,590,
608,609,626,643,671,681,682,715,717,718,726,729,731,745,746,748,749,762,763,
764,765,767,768,771,772,773,774,776,779,780,781,783,784,785,786,787,796,798,
879,886,917,918,921,923,949,950,951,952,953,957,958,961,962,974,977,988,994,
1007,1009,1010,1011,1012,1013,1015,1017,1018,1019,1021,1024,1025,1040,1041,
1042,1043,1048,1049,1105,1106,1110,1111,1126,1127,1130,1131,1134,1136,1137,
1140,1152,1154,1230,1260,1261,1275,1311,1325,1326,1329,1335,1338,1353,1354,
1357,1368,1369,1371,1372,1373,1376,1379,1380,1381,1382,1387,1388,1389,1390,
1391,1393,1394,1395,1396,1397,1399,1400,1401,1402,1404,1423,1424,1502,1558,
1559,1562,1591,1592,1595,1596,1621,1623,1625,1626,1628,1629,1654,1657,1755,
1760,1814,1816,1817,1866,1867,1883,1884,1892,1895,1906,1913,1914,1916,1918,
1930,1932,1933,1934,1935,1936,1938,1940,1941,1942,1944,1947,1948,1967,1969,
2111,2190,2230,2232,2233,2234,2246,2290,2305,2306,2318,2319,2322,2333,2336,
2337,2338,2340,2341,2342,2363,2493,2509,2510,2524,2526,2573,2584,2664,2679,
2681,2775],[1,2,3,4,7,9,13,14,15,19,21,22,23,24,25,30,31,32,33,38,55,57,61,63,
64,67,68,81,86,87,91,92,93,98,99,102,103,107,108,109,123,126,127,129,132,133,
138,139,140,145,146,150,181,182,184,186,188,207,236,237,238,248,249,255,264,
265,268,279,282,294,295,298,299,303,306,334,359,367,370,374,375,380,396,397,
398,402,406,410,439,451,452,453,454,461,472,473,474,494,495,509,510,522,591,
592,597,598,614,616,671,679,684,715,719,720,731,748,751,757,758,781,782,785,
786,797,885,887,888,914,921,922,933,941,942,1002,1003,1026,1033,1054,1076,
1077,1078,1079,1101,1112,1229,1251,1252,1275,1312,1329,1334,1337,1381,1384,
1396,1397,1398,1399,1424,1510,1555,1572,1573,1614,1615,1643,1644,1752,1760,
1815,1816,1867,1885,1886,1916,1917,1925,1926,1968,1970,1971,2107,2191,2246,
2291,2368,2510,2525,2527,2665,2684,2685,2776],[1,2,3,4,7,8,9,13,14,15,19,21,
22,23,24,25,30,31,32,33,35,38,55,56,57,58,61,63,64,67,68,81,88,89,91,92,93,98,
99,101,102,103,107,108,109,123,126,127,129,132,133,138,139,140,145,146,150,
181,182,183,184,185,186,187,188,190,207,239,240,241,242,246,248,250,255,264,
265,268,279,282,294,295,298,299,303,306,335,359,367,370,374,375,380,396,397,
398,400,402,403,406,410,439,451,452,453,454,461,472,473,474,494,495,496,509,
510,522,593,594,595,598,599,600,615,617,671,679,686,715,719,720,731,748,751,
757,758,781,782,785,786,797,885,889,890,914,921,922,933,934,941,942,1002,1003,
1027,1033,1055,1077,1079,1080,1081,1082,1102,1113,1229,1252,1254,1275,1312,
1329,1334,1337,1381,1384,1396,1397,1398,1399,1424,1511,1555,1574,1575,1615,
1616,1645,1646,1753,1760,1815,1816,1867,1885,1886,1916,1917,1925,1926,1968,
1972,1973,2108,2191,2246,2291,2369,2510,2525,2528,2665,2685,2686,2777],[1,2,3,
4,6,7,8,9,13,14,15,17,18,19,21,22,25,28,29,30,31,32,33,38,39,50,53,54,55,56,
58,61,63,66,67,68,84,88,89,91,96,97,98,99,102,106,108,111,113,120,121,125,126,
127,131,132,133,150,151,153,175,176,179,181,182,185,187,188,208,211,226,227,
230,231,233,239,240,241,244,247,251,252,255,264,267,270,279,292,294,295,297,
299,303,306,352,359,369,370,393,394,395,396,397,401,403,408,428,435,437,449,
451,452,454,456,471,472,477,478,523,525,577,578,582,583,587,593,594,601,603,
618,621,654,668,671,682,686,715,721,722,731,748,750,776,777,781,784,785,786,
798,886,889,890,920,921,924,965,967,969,970,1021,1022,1027,1051,1056,1114,
1161,1162,1163,1166,1167,1177,1231,1271,1272,1275,1313,1329,1336,1339,1381,
1394,1396,1397,1399,1401,1424,1514,1563,1599,1600,1635,1636,1661,1662,1759,
1760,1816,1817,1867,1887,1888,1916,1919,1944,1945,1969,1972,1973,2113,2192,
2246,2292,2372,2510,2526,2528,2666,2688,2689,2778],[1,2,3,4,6,7,8,9,13,14,15,
17,18,19,21,22,25,28,29,30,31,32,33,38,39,50,53,54,55,56,58,61,63,66,67,68,84,
88,89,91,96,97,98,99,102,106,108,111,113,120,121,125,126,127,131,132,133,150,
151,153,175,176,179,181,182,185,187,188,208,212,227,228,230,231,234,239,240,
241,245,247,251,253,255,264,267,270,279,292,294,295,297,299,303,306,352,359,
369,370,393,394,395,396,397,401,403,408,428,436,437,449,451,452,454,456,471,
472,477,478,523,525,577,578,583,584,587,593,594,602,603,619,620,656,666,671,
682,686,715,721,722,731,748,750,776,777,781,784,785,786,798,886,889,890,920,
921,924,965,968,969,970,1021,1022,1027,1051,1057,1115,1162,1164,1165,1166,
1168,1178,1231,1271,1272,1275,1313,1329,1336,1339,1381,1394,1396,1397,1399,
1401,1424,1515,1563,1601,1602,1636,1637,1663,1664,1759,1760,1816,1817,1867,
1887,1888,1916,1919,1944,1945,1969,1972,1973,2114,2192,2246,2292,2373,2510,
2526,2528,2666,2689,2690,2779],[1,2,3,4,5,6,7,8,9,10,11,14,15,16,17,18,19,20,
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,
47,48,49,50,51,52,53,54,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,91,92,93,
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,
172,173,174,175,176,177,178,179,180,189,193,196,197,198,199,200,201,202,203,
204,205,206,209,210,213,214,215,216,217,222,223,224,254,264,265,266,267,268,
269,270,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,303,
304,305,309,310,311,312,313,314,315,316,317,318,321,323,324,353,354,356,367,
368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,
387,388,389,390,391,392,393,394,395,396,398,399,401,405,406,407,408,409,410,
411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,
431,432,433,434,438,439,440,441,442,443,444,445,446,447,448,449,450,460,461,
462,463,464,465,466,467,468,469,470,471,480,481,482,483,484,485,486,487,488,
489,490,491,492,493,497,498,499,500,501,502,503,504,505,506,507,508,513,514,
515,516,517,518,519,520,521,528,529,530,531,532,533,534,535,536,537,538,539,
540,541,542,543,544,545,546,547,548,549,550,551,552,562,568,569,585,604,605,
606,609,672,673,674,675,676,717,719,721,723,724,725,726,727,728,729,731,744,
745,746,747,752,753,754,755,756,760,761,762,763,764,765,766,781,782,783,784,
785,786,787,788,789,790,791,792,793,794,795,800,801,802,803,804,805,806,807,
808,809,810,811,812,813,814,815,816,834,835,836,871,872,873,874,875,880,881,
913,914,915,916,917,918,919,920,925,926,927,928,929,930,931,932,935,936,937,
938,939,940,945,946,947,948,949,950,951,952,954,955,957,973,974,975,976,977,
979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,997,998,
999,1000,1001,1005,1006,1007,1008,1009,1010,1011,1028,1029,1030,1031,1032,
1036,1037,1038,1039,1040,1041,1042,1058,1059,1060,1061,1062,1063,1064,1065,
1066,1067,1068,1069,1085,1086,1087,1088,1089,1090,1091,1092,1103,1104,1105,
1106,1234,1235,1236,1237,1238,1273,1278,1321,1323,1325,1329,1330,1331,1332,
1333,1334,1335,1336,1337,1338,1339,1352,1353,1358,1359,1380,1381,1382,1383,
1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,1405,1406,1407,
1408,1409,1414,1417,1418,1428,1429,1430,1432,1434,1435,1469,1471,1472,1473,
1474,1475,1476,1477,1478,1479,1480,1482,1494,1495,1552,1553,1554,1557,1558,
1565,1566,1567,1568,1576,1577,1583,1585,1591,1593,1604,1605,1606,1607,1608,
1609,1638,1639,1761,1768,1808,1809,1810,1811,1820,1821,1822,1823,1824,1879,
1883,1885,1887,1889,1890,1891,1892,1893,1894,1895,1912,1913,1914,1915,1920,
1921,1922,1923,1924,1928,1929,1930,1931,1932,1933,1934,1949,1957,1958,1959,
1960,1961,1962,1963,1964,2008,2009,2010,2011,2012,2013,2020,2021,2022,2023,
2024,2025,2026,2027,2028,2029,2030,2104,2194,2195,2196,2222,2223,2235,2236,
2237,2238,2239,2244,2301,2303,2305,2309,2310,2311,2312,2317,2318,2323,2324,
2348,2349,2350,2351,2352,2357,2382,2383,2384,2385,2395,2396,2494,2511,2518,
2519,2520,2521,2522,2578,2591,2668,2669,2670,2671,2672,2780],[1,3,5,6,7,8,9,
10,11,21,23,24,26,27,28,29,30,32,34,35,41,42,45,46,47,49,50,51,52,53,55,56,57,
58,59,64,65,66,67,69,70,71,74,123,124,125,126,128,136,137,138,140,141,142,143,
144,146,147,148,154,155,157,159,162,164,166,168,170,171,173,174,175,176,177,
178,179,180,181,183,184,185,186,187,191,193,194,213,214,215,218,219,220,221,
222,224,225,226,228,229,230,231,232,233,234,235,254,281,282,283,284,285,288,
290,292,293,294,296,297,298,301,303,304,305,307,311,313,315,317,325,326,353,
354,356,438,439,440,441,443,445,447,449,450,451,453,455,456,458,480,481,484,
486,487,488,491,492,493,494,496,497,498,502,503,504,507,508,510,511,512,528,
530,532,534,540,542,547,553,555,557,558,559,560,564,568,569,570,571,572,573,
575,577,579,580,581,582,584,587,588,622,623,624,625,626,627,641,643,644,645,
673,675,752,754,755,757,759,760,762,767,769,770,772,776,778,779,782,783,784,
785,787,789,791,794,808,811,815,817,819,820,834,835,836,873,997,999,1000,1002,
1004,1005,1009,1012,1014,1016,1018,1021,1023,1024,1058,1060,1061,1063,1070,
1072,1074,1075,1086,1088,1094,1095,1096,1099,1100,1116,1118,1119,1121,1123,
1130,1132,1133,1136,1152,1153,1236,1239,1241,1273,1278,1358,1360,1362,1364,
1366,1368,1370,1383,1384,1385,1386,1388,1390,1392,1394,1395,1396,1398,1400,
1401,1403,1407,1410,1412,1415,1417,1418,1420,1426,1439,1442,1469,1471,1476,
1478,1496,1497,1608,1610,1612,1617,1619,1625,1627,1666,1668,1688,1690,1764,
1768,1810,1821,1823,1908,1920,1922,1923,1925,1927,1928,1932,1935,1937,1939,
1941,1944,1946,1947,1952,1957,1960,1963,2010,2013,2024,2031,2033,2034,2129,
2195,2224,2226,2237,2240,2242,2244,2323,2325,2327,2329,2331,2337,2339,2349,
2353,2355,2358,2386,2398,2495,2514,2518,2521,2586,2592,2669,2673,2675,2781],[
1,3,4,5,6,7,8,9,10,11,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,
39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,64,65,66,67,68,69,70,71,73,74,76,
123,124,125,126,127,128,129,130,131,132,135,136,137,138,139,140,141,142,143,
144,146,147,148,149,150,151,152,154,155,156,157,158,159,162,163,164,165,166,
167,168,169,170,171,172,173,174,175,176,177,178,179,180,182,188,189,190,192,
193,195,196,197,199,200,201,202,204,205,206,209,211,212,213,214,215,217,222,
223,224,227,254,281,282,283,284,285,288,289,290,291,292,293,295,299,300,302,
303,304,305,310,311,313,314,315,316,317,318,322,324,353,354,356,438,439,440,
441,443,445,446,447,448,449,450,452,454,457,459,460,461,462,463,465,467,469,
471,473,476,478,480,481,482,484,485,486,487,488,489,491,492,493,495,497,498,
502,503,504,507,508,509,513,515,517,518,520,524,525,526,528,529,530,531,532,
533,534,535,536,539,540,542,543,544,547,554,556,561,562,563,565,566,567,568,
569,574,576,578,583,585,586,589,590,604,606,609,611,673,675,676,752,754,755,
758,760,761,762,768,771,773,774,775,777,780,782,783,784,785,786,787,789,791,
792,794,795,804,806,808,810,811,815,816,818,821,834,835,836,872,873,875,881,
997,999,1000,1003,1005,1006,1009,1013,1015,1017,1019,1020,1022,1025,1028,1030,
1031,1035,1036,1040,1044,1046,1048,1052,1058,1059,1060,1061,1063,1064,1065,
1071,1073,1086,1088,1093,1097,1098,1103,1105,1108,1110,1117,1120,1122,1124,
1125,1127,1131,1134,1154,1236,1240,1242,1273,1278,1358,1361,1363,1365,1367,
1369,1371,1383,1384,1385,1386,1388,1390,1391,1392,1393,1394,1395,1397,1399,
1402,1404,1407,1411,1413,1416,1417,1418,1434,1437,1440,1441,1469,1471,1473,
1475,1476,1477,1478,1479,1481,1483,1495,1608,1611,1613,1618,1620,1626,1628,
1638,1641,1649,1655,1667,1669,1687,1689,1765,1768,1810,1811,1821,1823,1824,
1909,1920,1922,1923,1926,1928,1929,1932,1936,1938,1940,1942,1943,1945,1948,
1953,1957,1960,1961,1963,1964,2009,2010,2012,2013,2024,2027,2030,2032,2035,
2130,2195,2225,2227,2237,2241,2243,2244,2323,2326,2328,2330,2332,2338,2340,
2349,2354,2356,2359,2384,2387,2397,2399,2496,2515,2518,2521,2522,2587,2593,
2669,2674,2676,2782],[1,2,3,4,5,6,7,8,9,10,11,14,15,16,17,18,19,20,21,22,25,
26,27,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,54,
55,56,59,63,65,67,68,69,70,71,72,73,74,75,76,91,94,95,98,99,100,101,102,104,
105,108,110,112,114,115,116,117,118,119,120,121,122,124,126,127,128,130,132,
133,134,135,149,150,152,154,155,156,158,160,161,162,163,164,165,166,167,168,
169,171,172,173,174,181,182,183,188,189,190,191,192,193,194,195,196,197,198,
199,200,201,202,203,205,209,210,211,212,213,214,215,216,217,218,219,222,223,
225,226,227,228,235,254,278,279,280,284,287,288,289,290,291,294,295,296,300,
301,303,304,305,307,309,310,312,314,315,316,317,318,321,322,323,324,325,353,
354,356,368,370,371,383,384,387,388,389,390,391,392,396,397,399,400,404,405,
407,413,415,418,420,422,425,429,430,431,432,433,434,435,436,441,442,444,445,
446,447,448,451,452,454,455,457,458,459,463,464,467,468,469,470,472,475,476,
479,513,514,517,520,521,524,526,527,528,529,530,531,532,533,534,535,536,537,
538,539,544,546,549,550,551,552,553,554,555,556,561,562,563,564,565,566,567,
570,572,574,575,576,604,605,606,611,612,613,622,624,641,672,675,676,744,746,
747,748,749,760,761,765,766,767,768,770,771,775,781,783,785,786,787,788,790,
791,792,793,794,795,799,802,803,806,807,812,816,817,818,821,834,835,836,871,
872,873,874,875,880,881,916,918,919,921,923,945,946,947,948,952,953,955,956,
960,961,962,973,976,978,985,991,996,1005,1006,1007,1008,1011,1012,1013,1015,
1016,1017,1019,1020,1036,1037,1038,1039,1043,1046,1047,1050,1103,1104,1108,
1109,1116,1117,1120,1121,1122,1124,1125,1126,1129,1137,1138,1141,1235,1239,
1240,1273,1278,1352,1354,1356,1364,1365,1376,1377,1380,1381,1382,1386,1387,
1390,1391,1392,1393,1396,1397,1400,1402,1403,1406,1409,1410,1411,1413,1414,
1415,1416,1417,1418,1420,1426,1431,1436,1472,1473,1474,1475,1476,1477,1478,
1479,1480,1481,1482,1483,1494,1495,1496,1557,1559,1561,1583,1584,1587,1588,
1617,1618,1620,1621,1622,1631,1648,1651,1762,1808,1810,1811,1820,1823,1824,
1904,1912,1914,1915,1916,1918,1928,1929,1930,1931,1935,1936,1939,1940,1943,
1950,1956,1958,1959,1960,1961,1962,1963,1964,1966,1975,2025,2026,2027,2028,
2029,2030,2031,2032,2035,2109,2222,2224,2225,2236,2240,2241,2244,2317,2319,
2321,2329,2330,2333,2334,2351,2352,2353,2354,2356,2357,2358,2359,2400,2402,
2501,2512,2519,2521,2522,2582,2594,2598,2671,2673,2674,2783],[1,2,3,4,5,6,7,8,
9,10,11,14,15,16,17,18,19,20,21,22,24,26,27,29,30,31,32,33,34,35,36,39,41,42,
43,44,45,46,47,48,50,51,52,53,54,57,58,63,65,67,68,69,70,71,72,73,74,75,76,91,
94,95,98,99,100,101,103,104,106,109,110,113,114,115,116,117,118,119,120,121,
124,126,127,128,130,132,133,134,135,143,146,148,154,155,156,159,160,161,162,
163,164,165,166,167,168,169,171,172,173,174,179,180,182,184,185,192,193,195,
196,197,198,201,203,209,210,213,214,215,216,220,221,222,223,227,229,230,254,
278,279,280,284,287,288,289,290,291,297,298,299,302,303,304,305,309,310,312,
313,315,316,317,318,321,323,326,353,354,356,368,370,371,383,384,387,388,389,
390,391,392,398,401,402,403,409,411,413,416,419,420,423,429,431,432,434,437,
441,442,445,446,447,448,453,454,456,459,463,464,466,467,468,469,470,473,474,
476,477,478,497,499,502,504,506,511,528,529,530,531,532,533,534,535,536,537,
538,539,547,548,549,550,551,552,554,556,557,558,566,571,573,576,590,623,625,
642,672,675,676,744,746,747,750,751,760,761,765,766,769,772,773,774,781,783,
785,786,787,788,791,792,793,794,795,802,803,805,806,807,813,815,818,819,834,
835,836,871,872,873,874,875,880,881,916,918,919,922,924,945,946,947,948,954,
957,958,959,963,964,979,982,986,995,1005,1006,1007,1008,1014,1015,1018,1019,
1036,1037,1038,1039,1042,1044,1045,1046,1048,1049,1086,1090,1095,1097,1117,
1118,1123,1124,1127,1128,1139,1140,1235,1241,1242,1273,1278,1352,1355,1357,
1366,1367,1378,1379,1380,1381,1382,1386,1387,1390,1391,1392,1393,1398,1399,
1401,1404,1406,1412,1413,1414,1417,1418,1432,1433,1437,1438,1471,1472,1473,
1474,1476,1477,1478,1479,1480,1482,1494,1497,1557,1560,1562,1585,1586,1589,
1590,1619,1620,1623,1624,1649,1650,1652,1653,1763,1808,1810,1811,1820,1823,
1824,1905,1912,1914,1915,1917,1919,1928,1929,1930,1931,1937,1938,1941,1942,
1951,1958,1960,1961,1962,1963,1964,2021,2022,2024,2025,2026,2027,2028,2032,
2033,2110,2222,2226,2227,2236,2242,2243,2244,2317,2320,2322,2331,2332,2335,
2336,2351,2355,2356,2357,2396,2399,2401,2403,2502,2513,2519,2521,2522,2583,
2595,2671,2675,2676,2784],[1,2,3,4,5,6,7,8,9,10,11,14,15,16,17,18,19,20,21,22,
25,26,27,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,51,52,53,
54,55,56,59,61,65,67,69,70,71,72,73,74,91,94,95,98,99,100,101,102,104,105,108,
110,112,114,115,116,117,118,119,120,121,122,124,126,127,128,130,132,133,134,
135,149,150,152,154,155,156,158,160,161,162,163,164,165,166,167,168,169,171,
172,173,174,181,182,183,188,189,190,191,192,193,194,195,196,197,198,199,200,
201,202,203,205,209,210,211,212,213,214,215,216,217,218,219,222,223,225,226,
227,228,235,254,264,266,269,284,286,288,290,294,296,299,301,302,303,304,305,
307,309,310,312,314,315,316,317,318,323,324,325,353,354,356,368,370,371,383,
384,387,388,389,390,391,392,396,397,399,400,404,405,407,413,415,418,420,422,
425,429,430,431,432,433,434,435,436,441,442,444,445,446,447,448,451,452,454,
455,457,458,459,463,464,467,468,469,470,472,475,476,479,513,514,517,520,521,
524,526,527,528,529,530,531,532,533,534,535,536,537,538,539,544,546,549,550,
551,552,553,554,555,556,561,562,563,564,565,566,567,570,572,574,575,576,604,
605,606,611,612,613,622,624,641,674,675,715,717,718,725,728,730,731,760,764,
767,770,773,774,783,785,787,788,790,791,792,794,802,803,806,807,812,816,817,
818,821,834,835,836,871,872,873,916,918,919,921,923,945,946,947,948,952,953,
955,956,960,961,962,973,976,978,985,991,996,1005,1006,1007,1008,1011,1012,
1013,1015,1016,1017,1019,1020,1036,1037,1038,1039,1043,1046,1047,1050,1103,
1104,1108,1109,1116,1117,1120,1121,1122,1124,1125,1126,1129,1137,1138,1141,
1238,1239,1242,1273,1278,1311,1321,1322,1329,1335,1338,1364,1367,1372,1375,
1386,1389,1390,1392,1396,1399,1400,1403,1404,1406,1409,1410,1411,1413,1415,
1417,1418,1420,1426,1431,1436,1472,1473,1474,1475,1476,1477,1478,1479,1494,
1495,1496,1557,1559,1561,1583,1584,1587,1588,1617,1618,1620,1621,1622,1631,
1648,1651,1766,1809,1810,1822,1823,1864,1867,1883,1884,1891,1894,1896,1928,
1934,1935,1938,1939,1942,1950,1958,1959,1960,1961,1963,2025,2026,2027,2028,
2029,2030,2031,2032,2035,2109,2223,2224,2227,2239,2240,2243,2244,2290,2301,
2302,2329,2332,2341,2344,2351,2352,2353,2354,2356,2358,2400,2402,2503,2516,
2520,2521,2571,2594,2672,2673,2676,2785],[1,2,3,4,5,6,7,8,9,10,11,14,15,16,17,
18,19,20,21,24,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,
47,50,51,52,53,54,57,58,61,65,67,68,69,70,71,72,73,74,76,93,94,97,98,100,102,
104,105,108,110,112,114,115,116,117,118,120,122,124,126,127,128,143,145,146,
148,149,150,152,153,154,155,158,159,160,161,162,163,164,165,166,167,168,169,
171,172,173,174,179,180,182,184,185,188,189,190,192,193,195,197,198,199,200,
201,202,203,205,207,208,209,211,212,213,214,215,216,217,220,221,222,227,229,
230,254,264,266,269,284,286,288,289,290,291,295,297,298,300,303,304,305,309,
312,313,314,315,316,317,318,322,323,324,326,353,354,356,378,380,382,383,386,
387,389,395,396,399,402,403,405,407,413,415,418,420,422,425,431,432,433,437,
441,444,445,446,447,448,452,453,456,457,497,500,501,502,504,505,509,511,513,
514,516,517,519,520,521,522,523,524,525,526,528,529,530,531,532,533,534,535,
544,545,546,547,549,550,554,556,557,558,561,562,563,565,566,567,571,573,574,
589,604,605,606,607,608,610,611,623,625,628,674,675,676,717,720,722,725,728,
731,760,761,764,768,769,771,772,775,783,785,786,787,790,791,792,794,795,801,
802,812,814,815,816,818,819,821,834,835,836,837,871,872,873,875,881,935,937,
939,941,943,945,951,952,955,958,959,969,972,973,976,985,991,1005,1006,1011,
1013,1014,1017,1018,1020,1085,1086,1091,1092,1093,1095,1098,1103,1104,1106,
1107,1108,1110,1111,1117,1118,1120,1122,1123,1125,1134,1135,1139,1140,1179,
1180,1238,1240,1241,1273,1278,1321,1324,1326,1329,1335,1338,1365,1366,1373,
1374,1386,1389,1390,1391,1392,1393,1397,1398,1401,1402,1409,1411,1412,1416,
1417,1418,1430,1433,1441,1443,1471,1472,1474,1475,1476,1477,1478,1479,1481,
1483,1494,1495,1497,1576,1578,1580,1583,1586,1595,1598,1618,1619,1629,1630,
1687,1693,1700,1701,1767,1809,1810,1811,1822,1823,1824,1880,1883,1886,1888,
1891,1894,1928,1929,1934,1936,1937,1940,1941,1943,1954,1959,1960,1961,1963,
1964,2020,2023,2024,2025,2029,2030,2032,2033,2035,2036,2123,2223,2225,2226,
2239,2241,2242,2244,2301,2304,2306,2330,2331,2342,2343,2352,2354,2355,2359,
2395,2397,2401,2404,2504,2517,2520,2521,2522,2579,2596,2672,2674,2675,2786],[
1,3,5,6,7,8,9,13,21,23,24,26,27,28,29,30,32,34,35,41,42,45,46,47,49,50,51,52,
53,55,56,57,58,59,64,65,66,67,69,81,83,84,123,124,125,126,128,136,137,138,140,
141,142,143,144,146,147,148,154,155,157,159,162,164,166,168,170,171,173,174,
175,176,177,178,179,180,181,183,184,185,186,187,191,193,194,213,214,215,218,
219,220,221,222,224,225,226,228,229,230,231,232,233,234,235,255,281,282,283,
284,285,288,290,292,293,294,296,297,298,301,303,306,333,339,340,359,438,439,
440,441,443,445,447,449,450,451,453,455,456,458,480,481,484,486,487,488,491,
492,493,494,496,497,498,502,503,504,507,508,510,511,512,528,530,532,534,540,
542,547,553,555,557,558,559,560,564,568,569,570,571,572,573,575,577,579,580,
581,582,584,587,588,622,623,624,625,626,627,641,643,644,645,679,681,682,752,
754,755,757,759,760,762,767,769,770,772,776,778,779,782,783,784,785,787,796,
797,798,849,879,885,886,997,999,1000,1002,1004,1005,1009,1012,1014,1016,1018,
1021,1023,1024,1058,1060,1061,1063,1070,1072,1074,1075,1086,1088,1094,1095,
1096,1099,1100,1116,1118,1119,1121,1123,1130,1132,1133,1136,1152,1153,1249,
1259,1260,1275,1358,1360,1362,1364,1366,1368,1370,1383,1384,1385,1386,1388,
1390,1392,1394,1395,1396,1398,1400,1401,1403,1419,1422,1423,1424,1499,1501,
1502,1608,1610,1612,1617,1619,1625,1627,1666,1668,1688,1690,1782,1814,1815,
1817,1908,1920,1922,1923,1925,1927,1928,1932,1935,1937,1939,1941,1944,1946,
1947,1965,1967,1968,1969,2042,2129,2228,2231,2233,2246,2323,2325,2327,2329,
2331,2337,2339,2360,2362,2363,2505,2524,2525,2526,2586,2599,2677,2680,2681,
2787],[1,3,5,6,7,8,9,13,21,26,27,30,32,34,35,41,42,45,46,47,50,51,52,53,55,56,
57,58,59,65,67,69,83,86,87,88,89,124,126,128,154,155,162,164,166,168,171,173,
174,181,183,186,187,191,193,194,213,214,215,218,219,220,221,222,225,226,228,
231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,255,284,
288,290,294,296,301,303,306,339,344,345,347,348,359,441,445,447,451,455,458,
528,530,532,534,553,555,559,560,564,570,572,575,591,592,593,594,595,596,622,
623,624,626,627,629,630,631,632,633,634,635,636,641,646,647,648,649,650,651,
652,653,654,655,656,657,681,684,686,760,767,770,783,785,787,796,860,861,879,
887,888,889,890,1005,1012,1016,1026,1027,1116,1119,1121,1142,1143,1144,1145,
1146,1155,1156,1157,1158,1191,1192,1193,1196,1197,1198,1199,1208,1209,1259,
1264,1267,1275,1364,1386,1390,1392,1396,1400,1403,1419,1424,1499,1503,1504,
1505,1506,1617,1632,1633,1705,1706,1709,1710,1801,1814,1928,1935,1939,1967,
1970,1971,1972,1973,2043,2044,2137,2228,2246,2329,2360,2364,2365,2366,2367,
2524,2527,2528,2600,2601,2677,2682,2683,2788],[1,2,3,4,5,6,7,8,9,11,12,14,15,
16,17,18,19,20,21,22,25,26,27,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,
46,47,48,50,51,52,53,54,55,56,59,61,65,67,69,71,75,76,91,94,95,98,99,100,101,
102,104,105,108,110,112,114,115,116,117,118,119,120,121,122,124,126,127,128,
130,132,133,134,135,149,150,152,154,155,156,158,160,161,162,163,164,165,166,
167,168,169,171,172,173,174,181,182,183,188,189,190,191,192,193,194,195,196,
197,198,199,200,201,202,203,205,209,210,211,212,213,214,215,216,217,218,219,
222,223,225,226,227,228,235,256,264,266,269,284,286,288,290,294,296,299,301,
302,303,305,307,308,321,322,354,355,356,357,360,361,368,370,371,383,384,387,
388,389,390,391,392,396,397,399,400,404,405,407,413,415,418,420,422,425,429,
430,431,432,433,434,435,436,441,442,444,445,446,447,448,451,452,454,455,457,
458,459,463,464,467,468,469,470,472,475,476,479,513,514,517,520,521,524,526,
527,528,529,530,531,532,533,534,535,536,537,538,539,544,546,549,550,551,552,
553,554,555,556,561,562,563,564,565,566,567,570,572,574,575,576,604,605,606,
611,612,613,622,624,641,687,715,717,718,725,728,730,731,760,764,767,770,773,
774,783,785,787,793,794,795,799,835,836,874,875,880,881,916,918,919,921,923,
945,946,947,948,952,953,955,956,960,961,962,973,976,978,985,991,996,1005,1006,
1007,1008,1011,1012,1013,1015,1016,1017,1019,1020,1036,1037,1038,1039,1043,
1046,1047,1050,1103,1104,1108,1109,1116,1117,1120,1121,1122,1124,1125,1126,
1129,1137,1138,1141,1274,1276,1277,1279,1311,1321,1322,1329,1335,1338,1364,
1367,1372,1375,1386,1389,1390,1392,1396,1399,1400,1403,1404,1414,1415,1416,
1418,1420,1421,1425,1426,1427,1480,1481,1482,1483,1500,1508,1557,1559,1561,
1583,1584,1587,1588,1617,1618,1620,1621,1622,1631,1648,1651,1812,1818,1819,
1825,1864,1867,1883,1884,1891,1894,1896,1928,1934,1935,1938,1939,1942,1956,
1962,1963,1964,1966,1975,2109,2229,2245,2247,2248,2290,2301,2302,2329,2332,
2341,2344,2357,2358,2359,2361,2507,2523,2529,2530,2571,2598,2678,2789],[1,3,5,
6,7,8,9,13,21,23,24,26,27,28,29,30,32,34,35,43,44,45,48,50,51,54,55,56,57,58,
64,65,66,67,69,81,83,84,123,124,125,126,128,136,137,138,140,141,142,143,144,
146,147,148,156,158,160,161,162,164,167,169,171,173,175,176,179,181,183,184,
185,186,187,191,195,196,216,217,218,220,223,225,227,229,231,232,255,281,282,
283,286,287,288,291,292,294,296,297,298,302,303,306,333,359,438,439,440,442,
444,445,448,449,451,453,455,456,459,482,483,484,486,489,490,491,492,494,496,
499,500,502,505,506,507,510,511,512,536,538,544,546,549,551,553,556,557,559,
565,570,571,576,577,579,581,583,587,628,642,679,681,682,753,754,756,757,759,
764,765,767,769,771,773,776,778,782,783,784,785,787,796,797,798,879,885,886,
998,999,1001,1002,1004,1007,1011,1012,1014,1017,1019,1021,1023,1064,1066,1067,
1069,1070,1073,1074,1090,1092,1094,1097,1098,1099,1126,1128,1135,1137,1139,
1249,1261,1275,1359,1360,1363,1372,1374,1376,1378,1383,1384,1385,1387,1389,
1390,1393,1394,1396,1398,1400,1401,1404,1422,1424,1501,1609,1610,1613,1621,
1624,1630,1670,1671,1692,1783,1814,1815,1817,1910,1921,1922,1924,1925,1927,
1930,1934,1935,1937,1940,1942,1944,1946,1967,1968,1969,2131,2230,2231,2234,
2246,2324,2325,2328,2333,2335,2341,2343,2362,2508,2524,2525,2526,2588,2679,
2680,2790],[1,3,5,6,7,8,9,13,21,23,24,26,27,28,29,30,32,34,35,45,50,51,55,56,
57,58,64,65,66,67,69,81,83,84,86,87,88,89,123,124,125,126,128,136,137,138,140,
141,142,143,144,146,147,148,162,164,171,173,175,176,179,181,183,184,185,186,
187,191,218,220,225,229,231,232,236,237,238,239,240,241,242,246,249,250,255,
281,282,283,288,292,294,296,297,298,303,306,333,334,335,344,345,350,351,359,
438,439,440,445,449,451,453,455,456,484,486,491,492,494,496,502,507,510,511,
512,553,557,559,570,571,577,579,581,587,591,592,593,594,595,597,599,600,629,
630,631,639,646,647,648,649,658,659,661,679,681,682,684,686,754,757,759,767,
769,776,778,782,783,784,785,787,796,797,798,851,879,885,886,887,888,889,890,
999,1002,1004,1012,1014,1021,1023,1026,1027,1070,1074,1076,1078,1080,1081,
1094,1099,1101,1102,1142,1143,1147,1155,1156,1159,1160,1169,1175,1176,1249,
1251,1254,1264,1269,1275,1360,1383,1384,1385,1390,1394,1396,1398,1400,1401,
1422,1424,1501,1503,1504,1510,1511,1512,1513,1610,1614,1616,1632,1634,1673,
1675,1682,1684,1694,1696,1786,1814,1815,1817,1922,1925,1927,1935,1937,1944,
1946,1967,1968,1969,1970,1971,1972,1973,2049,2133,2231,2246,2325,2362,2364,
2365,2368,2369,2370,2371,2524,2525,2526,2527,2528,2603,2680,2682,2684,2686,
2687,2791],[1,3,5,6,7,8,9,13,21,23,24,26,27,28,29,30,32,33,34,35,45,50,51,55,
56,57,58,64,65,66,67,69,81,83,84,123,124,125,126,128,136,137,138,140,141,142,
143,144,146,147,148,162,164,165,171,173,175,176,179,181,182,183,184,185,186,
187,191,192,218,220,225,229,231,232,248,255,281,282,283,288,292,294,296,297,
298,303,306,333,359,438,439,440,445,449,451,453,455,456,484,486,491,492,494,
495,496,502,507,510,511,512,553,554,557,559,570,571,577,578,579,581,587,598,
637,660,679,681,682,754,757,759,767,769,776,778,782,783,784,785,787,796,797,
798,879,885,886,999,1002,1004,1012,1014,1021,1023,1070,1071,1074,1077,1079,
1082,1094,1099,1148,1170,1249,1252,1275,1360,1383,1384,1385,1390,1394,1396,
1398,1400,1401,1422,1424,1501,1610,1615,1674,1676,1683,1787,1814,1815,1817,
1922,1925,1927,1935,1937,1944,1946,1967,1968,1969,2134,2231,2246,2325,2362,
2524,2525,2526,2680,2685,2792],[1,3,5,6,7,8,9,13,21,23,24,26,27,28,29,30,32,
34,35,45,46,50,51,53,55,56,57,58,59,64,65,66,67,69,81,83,84,88,89,123,124,125,
126,128,136,137,138,140,141,142,143,144,146,147,148,162,164,168,171,173,175,
176,179,181,183,184,185,186,187,191,194,218,219,220,221,225,226,228,229,230,
231,232,233,234,239,240,241,242,243,244,245,246,247,250,252,253,255,281,282,
283,288,292,294,296,297,298,303,306,333,335,347,348,352,359,438,439,440,445,
449,451,453,455,456,484,486,491,492,494,496,502,507,510,511,512,553,555,557,
558,559,560,570,571,577,579,580,581,582,584,587,593,594,595,596,599,600,601,
602,632,633,634,635,636,640,650,651,652,653,654,655,656,657,662,663,664,666,
667,668,669,679,681,682,686,754,757,759,767,769,776,778,782,783,784,785,787,
796,797,798,853,879,885,886,889,890,999,1002,1004,1012,1014,1021,1023,1027,
1070,1072,1074,1080,1081,1083,1094,1099,1102,1144,1145,1146,1149,1151,1157,
1158,1161,1163,1164,1165,1171,1173,1174,1177,1178,1249,1254,1267,1271,1275,
1360,1383,1384,1385,1390,1394,1396,1398,1400,1401,1422,1424,1501,1505,1506,
1511,1514,1515,1610,1616,1633,1635,1637,1677,1679,1685,1695,1697,1699,1790,
1814,1815,1817,1922,1925,1927,1935,1937,1944,1946,1967,1968,1969,1972,1973,
2050,2135,2231,2246,2325,2362,2366,2367,2369,2372,2373,2524,2525,2526,2528,
2604,2680,2683,2686,2688,2690,2793],[1,3,5,6,7,8,9,13,21,23,24,26,27,28,29,30,
32,34,35,45,50,51,54,55,56,57,58,64,65,66,67,69,81,83,84,123,124,125,126,128,
136,137,138,140,141,142,143,144,146,147,148,162,164,169,171,173,175,176,179,
181,183,184,185,186,187,191,195,218,220,225,227,229,231,232,251,255,281,282,
283,288,292,294,296,297,298,303,306,333,359,438,439,440,445,449,451,453,455,
456,484,486,491,492,494,496,502,507,510,511,512,553,556,557,559,570,571,577,
579,581,583,587,603,638,665,679,681,682,754,757,759,767,769,776,778,782,783,
784,785,787,796,797,798,879,885,886,999,1002,1004,1012,1014,1021,1023,1070,
1073,1074,1084,1094,1099,1150,1162,1166,1172,1249,1272,1275,1360,1383,1384,
1385,1390,1394,1396,1398,1400,1401,1422,1424,1501,1610,1636,1678,1680,1698,
1791,1814,1815,1817,1922,1925,1927,1935,1937,1944,1946,1967,1968,1969,2136,
2231,2246,2325,2362,2524,2525,2526,2680,2689,2794],[1,3,5,6,7,8,9,13,21,26,27,
28,29,30,32,34,35,42,45,46,49,50,51,52,53,55,56,57,58,59,65,66,67,69,83,84,86,
87,88,89,124,125,126,128,157,159,162,164,170,171,173,175,176,177,178,179,180,
181,183,185,186,187,191,214,215,218,219,220,221,224,225,226,228,229,230,231,
232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,250,252,253,
255,285,288,292,293,294,296,297,303,306,340,344,345,347,348,350,351,352,359,
443,445,449,450,451,455,456,540,542,547,553,558,559,560,568,569,570,573,577,
580,581,582,584,587,588,591,592,593,594,595,596,600,601,602,624,625,626,627,
629,630,631,632,633,634,636,640,643,644,645,646,647,648,649,650,651,652,653,
654,655,656,657,658,659,662,663,664,666,667,668,669,681,682,684,686,762,767,
772,776,779,783,784,785,787,796,798,863,864,879,886,887,888,889,890,1009,1012,
1018,1021,1024,1026,1027,1130,1133,1136,1142,1143,1144,1145,1151,1152,1155,
1156,1157,1158,1159,1160,1161,1163,1164,1165,1173,1174,1175,1176,1177,1178,
1196,1198,1200,1201,1214,1215,1216,1217,1260,1264,1267,1269,1271,1275,1368,
1388,1390,1394,1395,1396,1400,1401,1423,1424,1502,1503,1504,1505,1506,1512,
1513,1514,1515,1625,1632,1633,1634,1635,1637,1713,1714,1719,1720,1721,1722,
1723,1724,1803,1814,1817,1932,1935,1941,1944,1947,1967,1969,1970,1971,1972,
1973,2051,2052,2138,2233,2246,2337,2363,2364,2365,2366,2367,2370,2371,2372,
2373,2524,2526,2527,2528,2605,2606,2681,2682,2683,2687,2688,2690,2795],[1,3,5,
6,7,8,10,12,13,21,23,24,26,27,28,29,30,32,34,35,41,42,45,46,47,49,50,51,52,53,
55,56,57,58,59,70,74,81,83,84,123,124,125,126,128,136,137,138,140,141,142,143,
144,146,147,148,154,155,157,159,162,164,166,168,170,171,173,174,175,176,177,
178,179,180,181,183,184,185,186,187,191,193,194,213,214,215,218,219,220,221,
222,224,225,226,228,229,230,231,232,233,234,235,257,304,306,308,311,313,315,
317,325,326,333,339,340,353,355,357,359,360,361,438,439,440,441,443,445,447,
449,450,451,453,455,456,458,480,481,484,486,487,488,491,492,493,494,496,497,
498,502,503,504,507,508,510,511,512,528,530,532,534,540,542,547,553,555,557,
558,559,560,564,568,569,570,571,572,573,575,577,579,580,581,582,584,587,588,
622,623,624,625,626,627,641,643,644,645,691,789,791,796,797,798,808,811,815,
817,819,820,834,849,873,879,885,886,997,999,1000,1002,1004,1005,1009,1012,
1014,1016,1018,1021,1023,1024,1058,1060,1061,1063,1070,1072,1074,1075,1086,
1088,1094,1095,1096,1099,1100,1116,1118,1119,1121,1123,1130,1132,1133,1136,
1152,1153,1280,1290,1292,1407,1410,1412,1417,1419,1421,1422,1423,1424,1425,
1427,1439,1442,1469,1471,1476,1478,1496,1497,1499,1500,1501,1502,1508,1608,
1610,1612,1617,1619,1625,1627,1666,1668,1688,1690,1826,1835,1839,1952,1957,
1960,1965,1967,1968,1969,2010,2013,2024,2031,2033,2034,2042,2129,2249,2251,
2271,2349,2353,2355,2360,2361,2362,2363,2386,2398,2531,2535,2546,2592,2599,
2692,2796],[1,3,5,6,7,8,10,12,13,21,26,27,30,32,34,35,41,42,45,46,47,50,51,52,
53,55,56,57,58,59,70,74,80,83,86,88,124,126,128,154,155,162,164,166,168,171,
173,174,181,183,186,187,191,193,194,213,214,215,218,219,220,221,222,225,226,
228,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,257,
304,306,308,315,317,325,326,339,344,347,353,355,357,359,360,361,441,445,447,
451,455,458,528,530,532,534,553,555,559,560,564,570,572,575,591,592,593,594,
595,596,622,623,624,626,627,629,630,631,632,633,634,635,636,641,646,647,648,
649,650,651,652,653,654,655,656,657,695,791,796,817,820,834,838,839,840,860,
873,878,879,887,889,891,892,1005,1012,1016,1026,1027,1116,1119,1121,1142,1143,
1144,1145,1146,1155,1156,1157,1158,1191,1192,1193,1196,1197,1198,1199,1208,
1209,1280,1290,1292,1410,1417,1419,1421,1424,1425,1427,1444,1445,1476,1478,
1496,1497,1499,1500,1503,1505,1508,1617,1632,1633,1705,1706,1709,1710,1836,
1844,1955,1960,1967,1970,1972,1974,2031,2034,2037,2038,2039,2043,2045,2055,
2137,2249,2251,2271,2353,2360,2361,2364,2366,2405,2406,2532,2547,2597,2600,
2602,2692,2797],[1,3,5,6,7,8,10,12,13,21,26,27,30,32,34,35,41,42,45,46,47,50,
51,52,53,55,56,57,58,59,70,74,83,87,89,124,126,128,154,155,162,164,166,168,
171,173,174,181,183,186,187,191,193,194,213,214,215,218,219,220,221,222,225,
226,228,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,
257,304,306,308,315,317,325,326,339,345,348,353,355,357,359,360,361,441,445,
447,451,455,458,528,530,532,534,553,555,559,560,564,570,572,575,591,592,593,
594,595,596,622,623,624,626,627,629,630,631,632,633,634,635,636,641,646,647,
648,649,650,651,652,653,654,655,656,657,694,791,796,817,820,834,838,839,840,
861,873,879,888,890,1005,1012,1016,1026,1027,1116,1119,1121,1142,1143,1144,
1145,1146,1155,1156,1157,1158,1191,1192,1193,1196,1197,1198,1199,1208,1209,
1280,1290,1292,1410,1417,1419,1421,1424,1425,1427,1444,1445,1476,1478,1496,
1497,1499,1500,1504,1506,1508,1617,1632,1633,1705,1706,1709,1710,1837,1845,
1955,1960,1967,1971,1973,2031,2034,2037,2038,2039,2044,2137,2249,2251,2271,
2353,2360,2361,2365,2367,2405,2406,2533,2548,2597,2601,2692,2798],[1,3,5,6,7,
8,11,12,13,21,26,27,30,32,34,35,41,42,45,46,47,50,51,52,53,55,56,57,58,59,71,
80,83,87,89,124,126,128,154,155,162,164,166,168,171,173,174,181,183,186,187,
191,193,194,213,214,215,218,219,220,221,222,225,226,228,231,232,233,234,235,
236,237,238,239,240,241,242,243,244,245,246,247,258,305,306,307,308,339,345,
348,354,355,356,357,359,360,361,441,445,447,451,455,458,528,530,532,534,553,
555,559,560,564,570,572,575,591,592,593,594,595,596,622,623,624,626,627,629,
630,631,632,633,634,635,636,641,646,647,648,649,650,651,652,653,654,655,656,
657,698,794,796,835,836,861,878,879,888,890,891,892,1005,1012,1016,1026,1027,
1116,1119,1121,1142,1143,1144,1145,1146,1155,1156,1157,1158,1191,1192,1193,
1196,1197,1198,1199,1208,1209,1281,1293,1415,1418,1419,1420,1421,1424,1425,
1426,1427,1499,1500,1504,1506,1508,1617,1632,1633,1705,1706,1709,1710,1848,
1963,1967,1971,1973,1974,2044,2045,2055,2137,2250,2252,2358,2360,2361,2365,
2367,2534,2601,2602,2693,2799],[1,2,3,4,7,10,12,13,14,15,19,21,22,23,24,25,30,
31,32,33,38,55,57,62,70,72,73,74,77,78,79,80,81,82,85,86,87,91,92,93,98,99,
102,103,107,108,109,123,126,127,129,132,133,138,139,140,145,146,150,181,182,
184,186,188,207,236,237,238,248,249,257,272,274,276,304,309,310,311,312,313,
314,315,316,317,318,319,320,323,324,325,326,327,330,332,334,337,359,360,367,
370,374,375,380,396,397,398,402,406,410,439,451,452,453,454,461,472,473,474,
494,495,509,510,522,591,592,597,598,614,616,689,690,691,692,693,694,695,716,
732,740,788,789,790,791,792,800,801,802,803,804,805,806,807,808,809,810,811,
812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,829,830,831,837,
838,839,840,841,842,885,887,888,891,893,894,895,914,921,922,933,941,942,1002,
1003,1026,1033,1054,1076,1077,1078,1079,1101,1112,1282,1283,1284,1285,1286,
1287,1288,1289,1290,1314,1317,1318,1341,1342,1405,1406,1407,1408,1409,1410,
1411,1412,1413,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,
1440,1441,1442,1443,1444,1445,1446,1447,1448,1450,1453,1484,1485,1510,1516,
1517,1518,1555,1572,1573,1614,1615,1643,1644,1827,1828,1829,1830,1831,1832,
1833,1834,1835,1836,1837,1838,1869,1949,1950,1951,1952,1953,1954,1955,1976,
1977,1978,1979,1980,1981,1982,1983,1984,1985,2017,2018,2107,2253,2254,2255,
2256,2257,2258,2259,2261,2262,2300,2345,2346,2347,2374,2375,2376,2377,2390,
2391,2392,2536,2537,2576,2590,2694,2695,2696,2800],[1,2,3,4,5,6,7,8,10,12,13,
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,
40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,62,70,72,73,74,77,78,79,80,81,82,
83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,
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,
164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,189,193,
196,197,198,199,200,201,202,203,204,205,206,209,210,213,214,215,216,217,222,
223,224,257,271,272,273,274,275,276,277,304,309,310,311,312,313,314,315,316,
317,318,319,320,323,324,327,328,329,330,331,332,333,334,335,336,337,338,339,
340,341,342,343,344,345,346,347,348,349,350,351,352,353,355,358,367,368,369,
370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,
389,390,391,392,393,394,395,396,398,399,401,405,406,407,408,409,410,411,412,
413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,431,432,
433,434,438,439,440,441,442,443,444,445,446,447,448,449,450,460,461,462,463,
464,465,466,467,468,469,470,471,480,481,482,483,484,485,486,487,488,489,490,
491,492,493,497,498,499,500,501,502,503,504,505,506,507,508,513,514,515,516,
517,518,519,520,521,528,529,530,531,532,533,534,535,536,537,538,539,540,541,
542,543,544,545,546,547,548,549,550,551,552,562,568,569,585,604,605,606,609,
689,690,691,692,693,694,695,716,732,733,734,735,736,737,738,739,740,741,742,
743,788,789,790,791,792,800,801,802,803,804,805,806,807,808,809,810,811,812,
813,814,815,816,822,823,824,825,826,827,828,829,830,831,832,833,834,843,844,
845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,
864,865,866,867,868,869,870,871,872,873,876,877,878,882,883,884,913,914,915,
916,917,918,919,920,925,926,927,928,929,930,931,932,935,936,937,938,939,940,
945,946,947,948,949,950,951,952,954,955,957,973,974,975,976,977,979,980,981,
982,983,984,985,986,987,988,989,990,991,992,993,994,995,997,998,999,1000,1001,
1005,1006,1007,1008,1009,1010,1011,1028,1029,1030,1031,1032,1036,1037,1038,
1039,1040,1041,1042,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,
1069,1085,1086,1087,1088,1089,1090,1091,1092,1103,1104,1105,1106,1282,1283,
1284,1285,1286,1287,1288,1289,1292,1314,1315,1316,1317,1318,1319,1320,1340,
1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1405,1406,1407,1408,
1409,1417,1428,1429,1430,1432,1434,1435,1448,1449,1450,1451,1452,1453,1454,
1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,
1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,1486,1487,1488,1489,1490,
1491,1492,1493,1494,1495,1498,1509,1552,1553,1554,1557,1558,1565,1566,1567,
1568,1576,1577,1583,1585,1591,1593,1604,1605,1606,1607,1608,1609,1638,1639,
1827,1828,1829,1830,1831,1832,1833,1834,1839,1840,1841,1842,1843,1844,1845,
1868,1869,1870,1871,1872,1873,1874,1875,1876,1877,1878,1897,1898,1899,1900,
1901,1902,1903,1949,1957,1958,1959,1960,1961,1986,1987,1988,1989,1990,1991,
1992,1993,1994,1995,1996,1997,1998,1999,2000,2001,2002,2003,2004,2005,2006,
2007,2008,2009,2010,2011,2012,2013,2014,2015,2016,2020,2021,2022,2023,2024,
2025,2026,2027,2028,2029,2030,2104,2253,2254,2255,2256,2257,2258,2259,2260,
2263,2264,2265,2266,2267,2268,2269,2293,2294,2295,2296,2297,2298,2299,2313,
2314,2315,2316,2348,2349,2350,2351,2352,2378,2379,2380,2381,2382,2383,2384,
2385,2388,2395,2396,2536,2538,2539,2540,2541,2542,2543,2544,2545,2574,2591,
2697,2698,2699,2700,2701,2702,2703,2801],[1,3,5,6,7,8,10,12,13,23,26,28,30,32,
34,35,41,42,45,46,49,50,51,52,53,55,56,57,58,59,70,74,80,83,86,88,136,138,141,
154,157,162,164,166,168,175,177,181,183,184,185,186,187,191,194,213,214,215,
218,219,220,221,224,225,226,228,229,230,231,232,233,234,235,236,237,238,239,
240,241,242,243,244,245,246,247,249,250,252,253,257,311,315,317,319,320,325,
326,339,344,347,353,355,358,359,360,361,480,484,487,494,496,528,530,540,553,
555,557,558,559,560,564,577,579,580,581,582,584,591,593,595,596,597,599,600,
601,602,622,623,624,625,626,627,629,630,631,632,633,634,635,636,639,640,643,
644,645,646,648,649,650,652,653,654,655,656,657,658,659,661,662,663,664,666,
667,668,669,695,808,817,819,820,823,827,829,832,834,838,839,840,842,860,873,
878,879,884,887,889,891,892,893,894,895,896,897,1058,1070,1072,1076,1080,1083,
1116,1118,1119,1130,1132,1133,1142,1144,1146,1147,1149,1151,1159,1161,1164,
1169,1171,1173,1174,1191,1192,1193,1195,1196,1198,1199,1200,1201,1203,1214,
1215,1216,1217,1218,1221,1282,1290,1292,1439,1444,1446,1455,1459,1462,1469,
1470,1476,1478,1496,1497,1499,1500,1503,1505,1507,1666,1673,1677,1705,1707,
1713,1715,1830,1836,1838,1844,1980,1996,2010,2015,2017,2018,2019,2031,2033,
2034,2037,2038,2039,2041,2043,2045,2046,2047,2048,2056,2057,2058,2147,2260,
2271,2386,2389,2405,2407,2537,2541,2547,2549,2609,2613,2614,2802],[1,4,5,7,8,
13,36,38,40,41,44,45,46,55,56,57,58,59,77,83,85,87,89,90,197,200,202,207,208,
213,217,218,219,220,221,238,241,242,244,245,248,251,328,330,331,339,341,343,
345,346,348,359,362,363,604,607,608,614,615,618,619,622,623,628,631,634,635,
637,638,714,844,846,847,859,861,865,867,879,888,890,899,900,901,1179,1181,
1182,1193,1194,1204,1206,1308,1309,1488,1499,1504,1506,1528,1726,1858,1859,
1860,2044,2275,2279,2551,2552,2710,2711,2712,2803],[1,3,7,13,21,23,24,30,32,
55,57,81,86,87,90,123,126,138,140,146,181,184,186,236,237,238,249,306,320,334,
359,439,451,453,494,510,591,592,597,714,797,825,829,831,885,887,888,895,1002,
1026,1076,1078,1101,1424,1450,1510,1529,1614,1968,1970,1971,2018,2277,2279,
2280,2368,2391,2804],[1,2,3,4,5,6,9,10,11,15,16,18,22,24,26,29,36,41,42,43,44,
48,60,63,65,67,68,69,70,71,72,73,75,76,103,104,106,114,116,130,143,154,156,
159,161,197,198,254,259,260,261,262,263,278,279,280,284,287,288,289,290,291,
297,298,299,302,310,312,313,321,353,354,364,365,366,409,413,416,463,466,497,
499,672,675,676,699,700,701,702,703,704,705,706,707,708,709,710,711,744,746,
747,750,751,760,761,765,766,769,772,773,774,805,834,835,871,872,874,875,902,
903,904,905,906,907,908,909,910,911,912,979,1235,1241,1242,1273,1294,1295,
1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1310,1352,1355,1357,
1366,1367,1378,1379,1471,1473,1474,1480,1530,1531,1532,1533,1534,1535,1536,
1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,1547,1548,1763,1808,1810,
1811,1849,1850,1851,1852,1853,1854,1855,1861,1862,1863,1905,2021,2073,2074,
2075,2076,2077,2078,2079,2080,2081,2082,2083,2084,2085,2086,2087,2088,2089,
2090,2091,2092,2222,2226,2227,2272,2281,2282,2283,2284,2435,2436,2437,2438,
2439,2440,2441,2442,2443,2444,2445,2502,2554,2555,2556,2557,2639,2640,2714,
2715,2716,2805],[1,2,3,4,5,6,9,13,14,15,16,17,18,21,22,23,24,25,26,27,28,29,
36,37,60,61,62,63,64,65,66,67,68,69,81,83,84,85,91,92,93,94,95,96,97,102,103,
104,105,106,123,124,125,129,130,131,136,137,143,144,149,255,259,260,261,262,
263,264,265,266,267,268,269,270,271,274,275,278,279,280,281,282,283,288,289,
292,294,295,296,297,298,299,300,303,306,333,343,364,367,368,369,372,373,378,
379,405,409,438,460,670,671,677,679,681,682,683,685,699,700,701,702,703,704,
705,708,715,717,718,719,720,721,722,723,724,727,731,736,746,748,749,750,751,
754,757,758,759,767,768,769,774,776,777,778,781,782,783,784,796,797,798,902,
903,904,905,906,913,1222,1223,1224,1225,1226,1229,1230,1231,1232,1233,1243,
1244,1245,1249,1253,1263,1275,1295,1297,1298,1299,1302,1311,1312,1313,1323,
1324,1327,1328,1334,1335,1336,1354,1355,1360,1361,1380,1383,1422,1530,1531,
1532,1535,1536,1539,1540,1541,1549,1734,1735,1736,1739,1743,1750,1756,1760,
1772,1814,1815,1816,1817,1850,1865,1889,2074,2076,2077,2082,2085,2093,2094,
2095,2096,2097,2168,2190,2191,2192,2231,2232,2285,2436,2446,2447,2448,2449,
2450,2492,2558,2559,2560,2561,2562,2641,2717,2718,2719,2720,2721,2806],[1,2,3,
4,5,6,9,13,15,16,18,21,25,26,27,36,37,41,42,43,44,47,60,61,63,64,65,66,67,68,
69,83,85,102,104,105,114,116,124,149,154,155,158,161,197,198,199,255,259,260,
261,262,263,266,268,270,278,279,280,281,284,285,286,287,288,289,290,291,294,
295,296,300,301,303,306,339,343,346,364,405,413,415,441,444,513,514,671,677,
681,683,685,699,700,701,703,706,707,708,709,710,725,727,729,731,744,746,747,
748,749,752,756,760,761,763,765,766,767,768,770,771,775,783,796,859,902,903,
904,905,906,973,1230,1232,1233,1243,1259,1261,1263,1265,1266,1275,1294,1295,
1296,1300,1303,1305,1306,1332,1335,1352,1354,1356,1364,1365,1376,1377,1386,
1389,1419,1530,1531,1532,1533,1534,1535,1536,1537,1538,1549,1754,1756,1758,
1760,1769,1774,1800,1804,1814,1849,1891,1904,2073,2074,2075,2078,2079,2080,
2081,2093,2096,2188,2190,2228,2230,2285,2435,2447,2451,2454,2491,2558,2561,
2642,2718,2722,2725,2807],[1,2,3,4,5,6,9,13,15,16,18,21,25,26,27,28,29,36,37,
42,43,48,49,60,61,63,64,65,66,67,68,69,83,84,85,102,104,105,115,124,125,149,
156,157,159,160,170,198,204,255,259,260,261,262,263,266,268,270,278,279,280,
281,283,285,286,287,288,289,290,292,293,294,295,296,297,300,302,303,306,340,
343,349,364,405,414,416,442,443,515,516,671,677,681,682,683,685,699,700,701,
703,705,708,711,726,727,728,731,745,746,748,749,753,755,762,763,764,766,767,
768,772,773,776,779,780,783,784,796,798,862,902,903,904,905,906,974,1230,1232,
1233,1243,1245,1260,1261,1263,1265,1268,1270,1275,1295,1301,1304,1333,1335,
1353,1354,1357,1368,1369,1372,1373,1387,1388,1423,1530,1531,1532,1535,1536,
1539,1542,1549,1755,1756,1757,1760,1771,1773,1802,1804,1814,1817,1851,1892,
1906,2074,2083,2084,2093,2096,2097,2189,2190,2233,2234,2285,2437,2447,2452,
2453,2493,2558,2561,2562,2643,2718,2723,2724,2808],[1,2,3,5,6,9,13,14,16,17,
21,22,26,27,41,42,43,47,48,60,61,62,63,64,65,66,67,69,83,91,94,95,114,115,119,
124,130,154,155,156,160,255,260,261,262,264,265,266,267,269,271,278,281,284,
285,286,287,288,290,294,296,299,301,302,303,306,339,349,364,368,383,384,441,
442,463,464,670,671,677,681,685,702,703,706,707,711,715,717,718,723,725,726,
728,730,733,744,745,752,753,760,764,767,770,773,774,781,783,796,903,904,906,
916,1222,1223,1224,1230,1243,1259,1261,1265,1268,1275,1299,1300,1301,1311,
1321,1322,1330,1364,1367,1372,1375,1380,1386,1387,1419,1533,1535,1537,1541,
1542,1549,1734,1737,1738,1754,1757,1769,1771,1814,1816,1852,1864,1912,2078,
2084,2085,2094,2096,2167,2228,2232,2234,2285,2439,2449,2451,2453,2506,2559,
2561,2644,2720,2722,2724,2809],[1,2,3,5,6,9,13,14,16,17,21,22,26,27,28,29,42,
43,44,49,60,61,62,63,64,65,66,67,69,83,84,91,94,95,115,116,124,125,130,157,
158,159,161,170,255,260,261,262,264,265,266,267,269,271,278,281,283,285,286,
287,288,290,291,292,293,294,296,297,299,303,306,340,346,364,368,385,386,443,
444,465,466,670,671,677,681,682,685,702,703,705,709,710,715,717,718,723,726,
728,729,737,745,747,755,756,762,765,767,771,772,774,776,779,781,783,784,796,
798,903,904,906,917,1222,1223,1224,1230,1243,1245,1260,1261,1265,1266,1270,
1275,1299,1303,1304,1311,1325,1326,1331,1368,1371,1376,1379,1380,1388,1389,
1423,1534,1535,1538,1539,1541,1549,1734,1738,1740,1755,1758,1773,1774,1814,
1816,1817,1853,1866,1913,2080,2083,2085,2094,2096,2097,2169,2230,2232,2233,
2285,2441,2449,2452,2454,2509,2559,2561,2562,2645,2720,2723,2725,2810],[1,3,5,
6,9,13,21,23,24,26,27,28,29,41,42,47,49,60,64,65,66,67,69,81,83,84,123,124,
125,136,137,143,144,154,155,157,159,170,255,260,261,262,281,282,283,284,285,
288,290,292,293,294,296,297,298,301,303,306,333,339,340,364,438,441,443,480,
481,497,498,677,679,681,682,685,703,704,705,706,707,752,754,755,757,759,760,
762,767,769,770,772,776,778,779,782,783,784,796,797,798,849,903,904,906,997,
1243,1244,1245,1249,1253,1259,1260,1265,1270,1275,1300,1302,1304,1358,1360,
1362,1364,1366,1368,1370,1383,1386,1388,1419,1422,1423,1533,1535,1537,1539,
1540,1549,1769,1772,1773,1782,1788,1814,1815,1817,1854,1908,1920,1965,2078,
2082,2083,2095,2096,2097,2197,2228,2231,2233,2285,2438,2450,2451,2452,2505,
2560,2561,2562,2646,2721,2722,2723,2811],[1,3,5,6,9,13,21,23,24,26,27,28,29,
43,44,48,60,64,65,66,67,69,81,83,84,123,124,125,136,137,143,144,156,158,160,
161,255,260,261,262,281,282,283,286,287,288,291,292,294,296,297,298,302,303,
306,333,346,349,364,438,442,444,482,483,499,500,677,679,681,682,685,703,704,
705,709,710,711,753,754,756,757,759,764,765,767,769,771,773,776,778,782,783,
784,796,797,798,852,903,904,906,998,1243,1244,1245,1249,1253,1261,1266,1268,
1275,1301,1302,1303,1359,1360,1363,1372,1374,1376,1378,1383,1387,1389,1422,
1534,1535,1538,1539,1540,1542,1549,1771,1772,1774,1783,1789,1814,1815,1817,
1855,1910,1921,2080,2082,2084,2095,2096,2097,2199,2230,2231,2234,2285,2440,
2450,2453,2454,2508,2560,2561,2562,2647,2721,2724,2725,2812],[1,3,5,6,9,10,11,
21,23,24,26,27,28,29,41,42,47,49,60,64,65,66,67,69,70,71,123,124,125,136,137,
143,144,154,155,157,159,170,254,260,261,262,281,282,283,284,285,288,290,292,
293,303,304,305,311,313,353,354,356,365,438,441,443,480,481,497,498,673,675,
703,704,705,706,707,752,754,755,760,762,782,783,784,789,834,835,908,997,1236,
1273,1278,1300,1302,1304,1358,1383,1386,1388,1417,1418,1469,1471,1545,1547,
1549,1768,1810,1821,1854,1920,1957,2087,2095,2096,2097,2195,2244,2286,2444,
2450,2451,2452,2518,2565,2646,2727,2813],[1,2,3,4,5,6,9,10,11,15,16,18,21,25,
26,27,36,37,41,42,43,44,47,60,61,64,65,66,68,70,72,73,76,102,104,105,114,116,
124,149,154,155,158,161,197,198,199,254,259,260,261,262,263,266,268,270,281,
284,285,286,289,291,303,304,305,312,314,353,354,356,365,405,413,415,441,444,
513,514,673,674,676,699,700,701,703,706,707,708,709,710,725,727,729,731,752,
756,761,763,783,790,834,871,872,875,907,908,909,973,1237,1273,1278,1294,1295,
1296,1300,1303,1305,1306,1332,1335,1386,1389,1417,1418,1474,1475,1543,1547,
1549,1768,1809,1811,1822,1849,1891,1959,2087,2089,2090,2093,2096,2196,2244,
2286,2443,2447,2451,2454,2520,2563,2642,2727,2814],[1,2,3,5,6,9,10,11,14,16,
17,21,22,26,27,41,42,43,47,48,60,61,63,64,65,66,70,72,75,91,94,95,114,115,119,
124,130,154,155,156,160,254,260,261,262,265,266,267,278,281,284,285,286,287,
303,304,305,309,310,353,354,356,365,368,383,384,441,442,463,464,672,673,674,
702,703,706,707,711,723,725,726,744,745,752,753,781,783,788,793,834,871,874,
880,908,916,1234,1273,1278,1299,1300,1301,1330,1380,1386,1387,1417,1418,1472,
1473,1544,1547,1549,1768,1808,1809,1820,1852,1912,1958,1962,2087,2094,2096,
2194,2244,2286,2442,2449,2451,2453,2519,2564,2644,2727,2815],[1,2,3,4,5,6,9,
11,12,15,16,18,21,25,26,27,36,37,41,42,43,44,47,60,61,64,65,66,68,71,75,76,79,
102,104,105,114,116,124,149,154,155,158,161,197,198,199,256,259,260,261,262,
263,266,268,270,281,284,285,286,289,291,303,307,308,321,322,354,355,357,366,
405,413,415,441,444,513,514,678,687,688,699,700,701,703,706,707,708,709,710,
725,727,729,731,752,756,761,763,783,799,835,874,875,877,910,911,912,973,1246,
1274,1279,1294,1295,1296,1300,1303,1305,1306,1332,1335,1386,1389,1420,1421,
1480,1481,1546,1548,1549,1770,1812,1813,1825,1849,1891,1966,2088,2091,2092,
2093,2096,2198,2245,2287,2445,2447,2451,2454,2523,2566,2642,2728,2816],[1,3,4,
5,6,10,12,13,22,23,25,26,28,36,37,41,42,44,48,49,60,70,73,77,78,81,82,83,84,
129,130,131,136,149,154,156,157,158,197,199,204,257,260,261,262,310,311,314,
319,320,327,328,329,333,336,339,340,341,342,353,355,358,365,460,463,465,480,
482,513,515,690,691,692,702,703,706,707,711,804,822,826,827,834,843,844,845,
849,850,854,855,872,876,882,908,1028,1282,1286,1292,1299,1300,1301,1452,1455,
1457,1469,1470,1473,1475,1486,1544,1547,1550,1829,1839,1840,1841,1852,1991,
2009,2014,2087,2098,2099,2260,2263,2288,2442,2455,2458,2459,2540,2567,2648,
2730,2817],[1,2,3,4,5,6,10,12,13,15,16,18,23,26,28,31,36,39,41,42,43,44,49,60,
62,70,72,73,79,81,83,84,85,104,107,111,114,116,136,154,157,161,163,167,197,
198,201,257,259,260,261,262,263,271,274,275,311,312,316,319,320,333,339,340,
343,346,349,353,355,358,365,413,417,421,480,490,529,541,689,691,693,699,700,
701,703,706,707,708,709,710,732,733,736,737,809,827,834,849,852,859,862,871,
872,877,907,908,909,984,1282,1284,1292,1294,1295,1296,1300,1303,1305,1306,
1340,1346,1455,1465,1469,1470,1474,1477,1543,1547,1550,1831,1839,1842,1843,
1849,1897,2011,2087,2089,2090,2099,2100,2260,2264,2288,2443,2458,2460,2462,
2542,2568,2651,2730,2818],[1,3,5,6,7,8,10,12,13,23,24,26,28,29,32,35,41,42,45,
46,49,51,53,60,70,74,80,81,83,84,86,87,88,89,136,140,142,143,147,154,157,159,
164,168,176,178,213,215,257,260,261,262,311,313,317,319,320,333,334,335,339,
340,344,345,347,348,350,351,352,353,355,358,365,480,486,488,497,503,530,542,
691,694,695,703,704,705,706,707,811,827,831,833,834,849,851,853,860,861,863,
864,873,878,908,1060,1282,1288,1292,1300,1302,1304,1455,1461,1463,1469,1470,
1471,1478,1490,1545,1547,1550,1833,1839,1844,1845,1854,1998,2013,2087,2099,
2101,2102,2260,2265,2288,2444,2458,2461,2463,2544,2569,2652,2730,2819],[1,2,3,
4,7,9,13,14,15,19,21,22,23,24,25,30,31,32,33,38,60,61,62,63,64,67,68,77,81,82,
85,86,87,91,92,93,98,99,102,103,107,108,109,123,126,127,129,132,133,138,139,
140,145,146,150,255,259,260,263,264,265,268,272,274,276,279,282,303,320,327,
330,334,337,367,370,374,375,380,396,398,406,410,439,461,670,671,677,679,680,
683,684,700,702,704,716,719,731,732,740,781,782,785,786,825,826,829,830,831,
914,1222,1225,1227,1229,1232,1244,1247,1248,1251,1252,1257,1297,1314,1317,
1318,1329,1334,1337,1341,1342,1381,1384,1450,1453,1549,1550,1735,1744,1745,
1749,1752,1775,1776,1869,1885,2093,2094,2095,2098,2100,2101,2170,2446,2456,
2570,2731,2732,2733,2820],[1,2,3,4,5,6,9,13,14,15,16,17,18,21,22,23,24,25,26,
27,28,29,36,37,60,61,63,64,65,66,77,81,82,83,84,91,92,93,94,95,96,97,102,103,
104,105,106,123,124,125,129,130,131,136,137,143,144,149,255,260,261,262,265,
266,267,278,281,303,320,327,328,329,333,336,367,368,369,372,373,378,379,405,
409,438,460,671,679,680,681,682,702,703,716,723,731,781,782,783,784,825,826,
827,828,843,913,1229,1230,1231,1247,1248,1249,1250,1255,1256,1299,1314,1315,
1316,1334,1335,1336,1380,1383,1449,1452,1549,1550,1749,1750,1751,1778,1780,
1868,1889,2094,2096,2098,2099,2182,2449,2455,2570,2731,2734,2821],[1,2,3,4,6,
8,9,13,14,15,17,18,20,21,22,23,24,25,28,29,31,33,34,35,39,40,60,61,62,63,64,
66,68,69,77,81,82,85,88,89,91,92,93,96,97,100,101,102,103,106,107,109,110,111,
112,113,123,125,127,128,129,131,134,135,139,141,142,145,147,148,151,152,153,
255,259,260,263,265,267,268,269,270,273,274,277,280,283,303,320,327,331,335,
338,367,369,371,376,377,381,382,406,407,408,411,412,427,440,462,670,671,679,
680,683,685,686,700,702,705,716,724,731,732,742,781,782,784,786,787,825,826,
830,832,833,915,1224,1225,1228,1229,1233,1247,1248,1252,1253,1254,1258,1298,
1314,1319,1320,1334,1336,1337,1338,1339,1341,1344,1382,1385,1451,1454,1549,
1550,1743,1745,1746,1749,1753,1779,1781,1870,1890,2093,2094,2097,2098,2100,
2102,2181,2448,2457,2570,2731,2732,2735,2822],[1,2,3,4,5,6,9,13,15,16,18,21,
23,24,25,26,27,28,29,31,33,36,37,39,60,61,62,64,65,66,68,81,83,84,85,102,104,
105,107,109,111,113,123,124,125,127,136,137,139,143,144,145,149,151,153,163,
165,172,255,259,260,261,262,263,266,268,270,271,274,275,281,289,303,320,333,
343,405,406,408,417,419,424,426,438,446,485,501,670,679,681,682,683,699,700,
701,703,708,727,731,732,736,782,783,784,786,825,827,828,830,975,1223,1225,
1226,1247,1249,1250,1252,1263,1295,1335,1337,1339,1340,1341,1343,1383,1391,
1449,1460,1549,1550,1739,1745,1747,1778,1787,1893,1899,2093,2096,2099,2100,
2176,2447,2460,2570,2732,2734,2823],[1,3,5,6,7,8,9,13,21,23,24,26,27,28,29,30,
32,34,35,45,50,51,60,64,65,66,67,69,81,83,84,86,87,88,89,123,124,125,126,128,
136,137,138,140,141,142,143,144,146,147,148,162,164,171,173,175,176,179,255,
260,261,262,281,282,283,288,292,303,320,333,334,335,344,345,350,351,438,439,
440,445,449,484,486,491,492,502,507,677,679,681,682,684,685,686,703,704,705,
754,782,783,784,785,787,825,827,828,829,831,832,833,851,999,1243,1244,1245,
1247,1249,1250,1251,1253,1254,1264,1269,1302,1383,1384,1385,1390,1394,1449,
1450,1451,1459,1461,1466,1467,1549,1550,1772,1775,1777,1778,1779,1786,1792,
1922,1988,2095,2096,2097,2099,2101,2102,2200,2450,2461,2570,2733,2734,2735,
2824],[1,3,5,6,9,13,21,23,24,26,27,28,29,41,42,47,49,60,64,65,66,81,83,84,123,
124,125,136,137,143,144,154,155,157,159,170,255,260,261,262,281,284,285,303,
320,333,339,340,438,441,443,480,481,497,498,679,681,682,703,706,707,752,782,
783,784,825,827,828,849,997,1247,1249,1250,1259,1260,1300,1383,1386,1388,1449,
1455,1456,1549,1550,1778,1782,1785,1920,1986,2096,2099,2204,2451,2458,2570,
2734,2825],[1,3,5,6,9,13,21,23,24,26,27,28,29,43,44,48,60,64,65,66,81,83,84,
123,124,125,136,137,143,144,156,158,160,161,255,260,261,262,281,286,287,303,
320,333,341,342,438,442,444,482,483,499,500,679,681,682,703,711,753,782,783,
784,825,827,828,850,998,1247,1249,1250,1261,1262,1301,1383,1387,1389,1449,
1457,1458,1549,1550,1778,1783,1784,1921,1987,2096,2099,2205,2453,2459,2570,
2734,2826],[1,3,5,6,8,9,13,21,23,24,26,27,28,29,34,35,42,46,49,52,53,60,64,65,
66,69,81,83,84,88,89,123,124,125,128,136,137,141,142,143,144,147,148,157,159,
166,168,170,174,177,178,180,255,260,261,262,281,283,285,290,293,303,320,333,
335,347,348,352,438,440,443,447,450,487,488,493,503,504,508,679,681,682,685,
686,703,705,755,782,783,784,787,825,827,828,832,833,853,1000,1247,1249,1250,
1253,1254,1265,1267,1270,1271,1304,1383,1385,1388,1392,1395,1449,1451,1462,
1463,1468,1549,1550,1778,1779,1788,1790,1793,1923,1989,2096,2097,2099,2102,
2206,2452,2463,2570,2734,2735,2827],[1,3,5,6,9,13,21,23,24,26,27,28,29,43,44,
54,60,64,65,66,81,83,84,123,124,125,136,137,143,144,158,161,167,169,255,260,
261,262,281,286,291,303,320,333,346,349,438,444,448,489,490,505,506,679,681,
682,703,709,710,756,782,783,784,825,827,828,852,1001,1247,1249,1250,1266,1268,
1272,1303,1383,1389,1393,1449,1464,1465,1549,1550,1778,1789,1791,1924,1990,
2096,2099,2207,2454,2462,2570,2734,2828],[1,2,3,4,5,6,7,8,13,14,15,16,17,18,
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,
45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,62,77,81,82,83,84,85,86,87,88,89,
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,
245,246,247,248,249,250,251,252,253,271,272,273,274,275,276,277,320,327,328,
329,330,331,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,
349,350,351,352,359,367,368,369,370,371,372,373,374,375,376,377,378,379,380,
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,
666,667,668,669,716,732,733,734,735,736,737,738,739,740,741,742,743,825,826,
827,828,829,830,831,832,833,843,844,845,846,847,848,849,850,851,852,853,854,
855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,879,885,886,
887,888,889,890,895,913,914,915,916,917,918,919,920,921,922,923,924,925,926,
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,
1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1314,1315,1316,1317,1318,
1319,1320,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1449,
1450,1451,1452,1453,1454,1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,
1465,1466,1467,1468,1486,1487,1488,1489,1490,1491,1492,1493,1499,1501,1502,
1503,1504,1505,1506,1507,1510,1511,1512,1513,1514,1515,1518,1552,1553,1554,
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,
1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1868,
1869,1870,1871,1872,1873,1874,1875,1876,1877,1878,1897,1898,1899,1900,1901,
1902,1903,1986,1987,1988,1989,1990,1991,1992,1993,1994,1995,1996,1997,1998,
1999,2000,2001,2002,2003,2004,2005,2006,2007,2018,2042,2043,2044,2048,2049,
2050,2051,2052,2053,2054,2104,2105,2106,2107,2108,2109,2110,2111,2112,2113,
2114,2115,2116,2117,2118,2119,2120,2121,2122,2123,2124,2125,2126,2127,2128,
2129,2130,2131,2132,2133,2134,2135,2136,2137,2138,2139,2140,2141,2142,2143,
2144,2145,2146,2147,2148,2149,2150,2151,2152,2153,2154,2155,2156,2157,2158,
2159,2160,2161,2162,2163,2164,2165,2166,2293,2294,2295,2296,2297,2298,2299,
2300,2313,2314,2315,2316,2378,2379,2380,2381,2389,2391,2392,2393,2411,2414,
2465,2466,2467,2468,2469,2470,2471,2472,2473,2474,2475,2476,2477,2478,2479,
2574,2575,2576,2577,2614,2615,2616,2617,2618,2619,2659,2737,2738,2739,2749,
2750,2751,2752,2829],[1,2,3,4,5,6,7,8,10,14,15,16,17,18,19,20,21,22,23,24,25,
26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,
52,53,54,55,56,57,58,59,70,72,73,74,91,92,93,94,95,96,97,98,99,100,101,102,
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,
236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,304,
309,310,311,312,313,314,315,316,317,318,323,324,325,326,353,367,368,369,370,
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,
656,657,658,659,660,661,662,663,664,665,666,667,668,669,788,789,790,791,792,
800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,
819,820,821,834,837,838,839,840,841,842,871,872,873,913,914,915,916,917,918,
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,
1221,1405,1406,1407,1408,1409,1410,1411,1412,1413,1417,1428,1429,1430,1431,
1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,
1447,1469,1471,1472,1473,1474,1475,1476,1477,1478,1479,1484,1485,1494,1495,
1496,1497,1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,
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,
1730,1731,1732,1733,1949,1950,1951,1952,1953,1954,1955,1957,1958,1959,1960,
1961,1976,1977,1978,1979,1980,1981,1982,1983,1984,1985,2008,2009,2010,2011,
2012,2013,2020,2021,2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2032,
2033,2034,2035,2036,2037,2038,2039,2040,2041,2104,2105,2106,2107,2108,2109,
2110,2111,2112,2113,2114,2115,2116,2117,2118,2119,2120,2121,2122,2123,2124,
2125,2126,2127,2128,2129,2130,2131,2132,2133,2134,2135,2136,2137,2138,2139,
2140,2141,2142,2143,2144,2145,2146,2147,2148,2149,2150,2151,2152,2153,2154,
2155,2156,2157,2158,2159,2160,2161,2162,2163,2164,2165,2166,2345,2346,2347,
2348,2349,2350,2351,2352,2353,2354,2355,2356,2374,2375,2376,2377,2382,2383,
2384,2385,2386,2387,2395,2396,2397,2398,2399,2400,2401,2402,2403,2404,2405,
2406,2407,2408,2409,2410,2465,2466,2467,2468,2469,2470,2471,2472,2473,2474,
2475,2476,2477,2478,2479,2590,2591,2592,2593,2594,2595,2596,2597,2607,2608,
2609,2610,2611,2612,2620,2621,2622,2623,2659,2740,2741,2742,2744,2745,2746,
2747,2830],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,23,24,25,26,28,
29,32,33,35,36,37,38,40,41,42,43,44,45,46,49,51,53,54,61,62,63,64,65,66,67,68,
69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,92,93,94,96,97,
99,101,104,108,109,112,113,114,115,116,117,118,121,122,136,139,140,142,143,
147,149,151,154,157,158,159,160,161,164,165,168,169,176,178,197,198,199,200,
202,203,206,213,215,216,217,254,255,256,257,258,264,265,266,267,268,269,270,
271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,
290,291,292,293,309,311,312,313,314,317,318,321,323,324,327,328,329,330,331,
332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,
351,352,353,354,355,372,375,377,378,381,383,385,386,388,390,394,413,414,418,
419,422,423,431,433,480,483,485,486,488,489,497,500,503,506,513,516,518,521,
530,531,542,543,546,548,551,552,604,605,670,671,672,673,674,675,676,677,678,
679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,
698,717,719,721,723,724,725,726,727,728,729,733,734,735,736,737,738,739,740,
741,742,743,744,745,746,747,752,753,754,755,756,760,761,762,763,764,765,766,
800,801,803,810,811,812,813,834,835,843,844,845,846,847,848,849,850,851,852,
853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,
872,873,874,875,876,877,878,898,925,928,930,935,938,946,950,985,986,988,989,
1059,1060,1068,1069,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,
1233,1234,1235,1236,1237,1238,1243,1244,1245,1246,1247,1248,1249,1250,1251,
1252,1253,1254,1255,1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,
1267,1268,1269,1270,1271,1272,1273,1274,1283,1284,1285,1286,1287,1288,1289,
1291,1292,1293,1321,1323,1325,1330,1331,1332,1333,1345,1346,1347,1348,1349,
1350,1351,1352,1353,1358,1359,1429,1469,1471,1472,1474,1475,1478,1479,1480,
1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1498,1521,1522,1523,1524,
1525,1526,1527,1566,1734,1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,
1745,1746,1747,1748,1749,1750,1751,1752,1753,1754,1755,1756,1757,1758,1759,
1761,1768,1769,1770,1771,1772,1773,1774,1775,1776,1777,1778,1779,1780,1781,
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,
1812,1813,1834,1839,1840,1841,1842,1843,1844,1845,1846,1847,1848,1879,1903,
2008,2012,2013,2020,2022,2026,2029,2059,2060,2061,2062,2063,2064,2065,2066,
2067,2068,2069,2071,2167,2168,2169,2170,2171,2172,2173,2174,2175,2176,2177,
2178,2179,2180,2181,2182,2183,2184,2185,2186,2187,2188,2189,2194,2195,2196,
2197,2198,2199,2200,2201,2202,2203,2204,2205,2206,2207,2208,2209,2210,2211,
2212,2213,2214,2215,2216,2217,2218,2219,2220,2221,2222,2223,2263,2264,2265,
2266,2267,2268,2269,2270,2383,2417,2418,2419,2421,2422,2423,2424,2427,2428,
2429,2430,2431,2432,2433,2480,2481,2482,2483,2484,2485,2486,2487,2488,2489,
2490,2494,2497,2498,2499,2500,2545,2624,2626,2627,2628,2629,2630,2631,2632,
2633,2634,2635,2636,2661,2753,2754,2755,2756,2757,2758,2759,2831],[1,2,3,4,5,
6,9,10,11,12,13,14,15,16,17,18,21,22,23,24,25,26,27,28,29,36,37,41,42,43,44,
47,48,49,61,63,64,65,66,67,68,69,70,71,72,73,75,76,81,83,84,91,92,93,94,95,96,
97,102,103,104,105,106,114,115,116,119,123,124,125,129,130,131,136,137,143,
144,149,154,155,156,157,158,159,160,161,170,197,198,199,204,254,255,256,257,
258,264,265,266,267,268,269,270,278,279,280,281,282,283,284,285,286,287,288,
289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,
308,309,310,311,312,313,314,321,322,333,339,340,353,354,355,356,357,367,368,
369,372,373,378,379,383,384,385,386,405,409,413,414,415,416,438,441,442,443,
444,460,463,464,465,466,480,481,482,483,497,498,499,500,513,514,515,516,671,
672,673,674,675,676,679,681,682,687,691,715,717,718,719,720,721,722,723,724,
725,726,727,728,729,730,731,744,745,746,747,748,749,750,751,752,753,754,755,
756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,
775,776,777,778,779,780,781,782,783,784,788,789,790,793,796,797,798,799,800,
801,804,805,834,835,849,871,872,874,875,880,898,913,916,917,925,926,935,936,
973,974,979,980,997,998,1028,1029,1229,1230,1231,1234,1235,1236,1237,1238,
1239,1240,1241,1242,1249,1259,1260,1261,1273,1274,1275,1276,1277,1278,1279,
1280,1281,1292,1293,1311,1312,1313,1321,1322,1323,1324,1325,1326,1327,1328,
1330,1331,1332,1333,1334,1335,1336,1352,1353,1354,1355,1356,1357,1358,1359,
1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,
1375,1376,1377,1378,1379,1380,1383,1386,1387,1388,1389,1405,1417,1418,1419,
1420,1421,1422,1423,1469,1471,1472,1473,1474,1475,1480,1481,1521,1524,1552,
1750,1754,1755,1760,1761,1762,1763,1764,1765,1766,1767,1768,1782,1783,1808,
1809,1810,1811,1812,1814,1815,1816,1817,1818,1819,1820,1821,1822,1825,1826,
1839,1864,1865,1866,1879,1880,1881,1882,1889,1891,1892,1904,1905,1906,1907,
1908,1909,1910,1911,1912,1913,1920,1921,1957,1958,1959,1962,1965,1966,2008,
2009,2020,2021,2060,2070,2071,2183,2190,2191,2192,2193,2194,2195,2196,2222,
2223,2224,2225,2226,2227,2228,2229,2230,2231,2232,2233,2234,2235,2244,2245,
2251,2252,2289,2309,2348,2420,2425,2426,2428,2429,2491,2492,2493,2494,2495,
2496,2501,2502,2503,2504,2505,2506,2507,2508,2509,2518,2519,2520,2523,2535,
2625,2630,2637,2662,2663,2668,2760,2761,2762,2832],[1,2,3,4,7,9,10,11,12,13,
14,15,19,21,22,23,24,25,30,31,32,33,38,55,57,61,63,64,67,68,70,71,72,73,74,75,
76,81,91,92,93,98,99,102,103,107,108,109,123,126,127,129,132,133,138,139,140,
145,146,150,181,182,184,186,188,207,254,255,256,257,258,264,265,268,279,282,
294,295,298,299,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,
318,321,322,323,324,325,326,359,360,367,370,374,375,380,396,397,398,402,406,
410,439,451,452,453,454,461,472,473,474,494,495,509,510,522,671,672,673,674,
675,676,679,687,691,715,719,720,731,748,751,757,758,781,782,785,786,788,789,
790,791,792,793,794,795,797,799,800,801,802,803,804,805,806,807,808,809,810,
811,812,813,814,815,816,817,818,819,820,821,837,885,898,914,921,922,933,941,
942,1002,1003,1033,1229,1234,1235,1236,1237,1238,1239,1240,1241,1242,1275,
1276,1278,1279,1280,1281,1290,1312,1329,1334,1337,1381,1384,1396,1397,1398,
1399,1405,1406,1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,1424,1425,
1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,
1443,1521,1524,1555,1760,1761,1762,1763,1764,1765,1766,1767,1815,1816,1818,
1820,1821,1822,1823,1824,1825,1826,1835,1867,1885,1886,1916,1917,1925,1926,
1949,1950,1951,1952,1953,1954,1956,1968,1976,1977,1978,2060,2070,2191,2193,
2235,2236,2237,2238,2239,2240,2241,2242,2243,2246,2247,2249,2250,2291,2345,
2420,2425,2426,2510,2511,2512,2513,2514,2515,2516,2517,2525,2529,2531,2625,
2638,2665,2667,2763,2764,2833],[1,3,7,9,10,11,12,13,21,23,24,30,32,55,57,64,
67,70,71,74,80,81,86,87,123,126,138,140,146,181,184,186,236,237,238,249,254,
255,256,257,258,282,294,298,303,304,305,306,307,308,311,313,315,317,325,326,
334,359,360,439,451,453,494,510,591,592,597,673,675,679,684,691,694,695,698,
757,782,785,789,791,794,797,808,811,815,817,819,820,838,839,840,842,885,887,
888,891,898,1002,1026,1076,1078,1101,1236,1239,1241,1251,1275,1276,1278,1279,
1280,1281,1288,1290,1384,1396,1398,1407,1410,1412,1415,1424,1425,1439,1442,
1444,1445,1446,1510,1524,1527,1614,1764,1815,1821,1823,1826,1835,1836,1837,
1925,1952,1955,1968,1970,1971,1974,1980,1982,1984,2067,2070,2237,2240,2242,
2246,2247,2249,2250,2261,2346,2368,2425,2514,2525,2527,2531,2532,2533,2534,
2638,2684,2691,2764,2765,2834],[1,3,7,9,10,11,12,13,21,23,24,30,32,33,55,57,
64,67,70,71,74,81,123,126,138,140,146,181,182,184,186,248,254,255,256,257,258,
282,294,298,303,304,305,306,307,308,311,313,315,317,318,325,326,359,360,439,
451,453,494,495,510,598,673,675,679,691,757,782,785,789,791,794,797,808,811,
815,817,818,819,820,841,885,898,1002,1077,1079,1236,1239,1241,1252,1275,1276,
1278,1279,1280,1281,1290,1384,1396,1398,1407,1410,1412,1415,1424,1425,1439,
1440,1442,1447,1524,1615,1764,1815,1821,1823,1826,1835,1925,1952,1968,1981,
1983,2068,2070,2237,2240,2242,2246,2247,2249,2250,2347,2425,2514,2525,2531,
2638,2685,2764,2835],[1,3,5,6,7,8,9,10,11,12,13,21,26,27,30,32,34,35,41,42,45,
46,47,50,51,52,53,55,56,59,65,67,69,70,71,74,83,124,126,128,154,155,162,164,
166,168,171,173,174,181,183,191,193,194,213,214,215,218,219,222,225,226,228,
235,254,255,256,257,258,284,288,290,294,296,301,303,304,305,306,307,308,315,
317,325,339,353,354,355,356,357,359,360,361,441,445,447,451,455,458,528,530,
532,534,553,555,564,570,572,575,622,624,641,675,681,760,767,770,783,785,787,
791,794,796,817,834,835,836,873,879,898,1005,1012,1016,1116,1121,1239,1259,
1273,1274,1275,1276,1277,1278,1279,1280,1281,1290,1292,1293,1364,1386,1390,
1392,1396,1400,1403,1410,1415,1417,1418,1419,1420,1421,1424,1425,1426,1427,
1476,1478,1496,1499,1500,1508,1617,1810,1814,1823,1928,1935,1939,1960,1963,
1967,2031,2070,2071,2224,2228,2229,2240,2244,2245,2246,2247,2248,2249,2250,
2251,2252,2271,2329,2353,2358,2360,2361,2521,2524,2637,2638,2673,2677,2678,
2692,2693,2836],[1,5,7,8,10,12,13,41,45,46,55,56,59,74,80,83,86,88,90,213,218,
219,236,239,243,257,325,339,344,347,353,355,359,360,361,362,622,629,632,695,
712,713,714,838,860,873,878,879,887,889,891,892,899,1191,1290,1292,1308,1496,
1499,1500,1503,1505,1529,1551,1836,1844,1856,1857,1858,2037,2043,2045,2072,
2271,2273,2276,2277,2278,2434,2464,2547,2550,2655,2706,2707,2708,2709,2837],[
1,5,7,8,10,12,13,41,45,46,55,56,57,58,59,74,83,87,89,90,213,218,219,220,221,
238,241,242,244,245,257,325,326,339,345,348,353,355,359,360,361,362,622,623,
631,634,635,694,712,713,714,840,861,873,879,888,890,899,1193,1290,1292,1308,
1496,1497,1499,1500,1504,1506,1551,1837,1845,1856,1857,1858,2039,2044,2271,
2279,2464,2548,2552,2657,2711,2838],[1,3,5,6,10,12,13,21,23,24,26,27,28,29,41,
42,47,49,70,81,83,84,90,123,124,125,136,137,143,144,154,155,157,159,170,257,
304,306,308,311,313,319,320,333,339,340,353,355,357,358,362,438,441,443,480,
481,497,498,691,712,713,714,789,796,797,798,825,827,828,834,849,899,997,1280,
1282,1292,1308,1417,1419,1421,1422,1423,1449,1455,1456,1469,1470,1471,1551,
1826,1828,1839,1856,1857,1858,1957,1965,1986,2251,2260,2280,2464,2535,2538,
2553,2658,2713,2839],[1,2,3,4,9,10,11,12,13,14,15,21,22,23,24,25,60,61,62,63,
64,67,68,70,71,72,73,75,76,79,81,85,91,92,93,102,103,123,129,254,255,256,257,
258,259,260,263,264,265,268,274,279,282,294,295,298,299,303,304,305,306,307,
308,309,310,311,312,313,314,321,322,364,365,366,367,670,671,672,673,674,675,
676,677,678,679,683,687,688,689,691,693,697,700,702,704,715,719,720,731,748,
751,757,758,781,782,788,789,790,793,797,799,800,801,804,805,898,902,904,905,
907,908,909,910,911,912,1222,1225,1229,1232,1234,1235,1236,1237,1238,1239,
1240,1241,1242,1244,1246,1275,1276,1278,1279,1280,1281,1284,1297,1310,1312,
1334,1405,1521,1522,1523,1524,1526,1531,1540,1541,1543,1544,1545,1546,1549,
1735,1760,1761,1762,1763,1764,1765,1766,1767,1815,1816,1818,1820,1821,1822,
1825,1826,1861,1862,1863,2059,2060,2061,2062,2063,2070,2077,2086,2093,2094,
2095,2191,2193,2235,2281,2282,2283,2285,2286,2287,2417,2420,2425,2426,2446,
2554,2558,2559,2560,2563,2564,2565,2566,2625,2660,2717,2726,2769,2770,2771,
2840],[1,3,5,6,9,10,11,12,13,21,26,27,41,42,47,60,64,65,66,67,69,70,71,83,124,
154,155,254,255,256,257,258,260,261,262,281,284,285,288,290,294,296,301,303,
304,305,306,307,308,339,353,354,355,356,357,364,365,366,441,673,675,677,678,
681,685,703,706,707,752,760,767,770,783,796,834,835,898,903,904,906,908,911,
1239,1243,1259,1265,1273,1274,1275,1276,1277,1278,1279,1280,1281,1292,1293,
1300,1310,1364,1386,1417,1418,1419,1420,1421,1522,1533,1535,1537,1547,1548,
1549,1768,1769,1770,1810,1814,1862,2070,2071,2078,2087,2088,2096,2224,2228,
2229,2244,2245,2251,2252,2284,2285,2286,2287,2427,2451,2556,2561,2637,2660,
2722,2727,2728,2841],[1,2,3,4,9,10,11,12,13,14,15,21,22,23,24,25,60,61,63,64,
70,72,73,75,77,78,81,82,91,92,93,102,103,123,129,254,255,256,257,258,260,265,
303,304,305,309,310,311,312,313,314,319,320,327,365,367,671,672,673,674,679,
680,687,690,691,692,696,702,716,731,781,782,788,789,790,793,800,801,804,805,
822,825,826,898,908,1229,1234,1247,1248,1278,1282,1286,1314,1334,1405,1521,
1524,1525,1544,1549,1550,1749,1820,1821,1822,1827,1828,1829,2060,2065,2066,
2094,2098,2235,2253,2286,2288,2418,2564,2567,2570,2731,2772,2842],[1,2,3,4,9,
10,11,12,13,15,21,23,24,25,31,33,60,61,62,64,68,70,72,73,76,79,81,85,102,107,
109,123,127,139,145,254,255,256,257,258,259,260,263,268,274,303,304,305,311,
312,313,314,316,318,319,320,365,406,670,673,674,676,679,683,688,689,691,693,
697,700,731,732,782,786,789,790,792,795,809,810,813,814,824,825,830,898,907,
908,909,1225,1237,1247,1252,1278,1282,1284,1337,1341,1408,1523,1524,1526,1543,
1549,1550,1745,1821,1822,1824,1828,1831,1832,2063,2065,2068,2093,2100,2238,
2257,2286,2288,2423,2563,2568,2570,2732,2772,2843],[1,3,7,9,10,11,12,13,21,23,
24,30,32,60,64,67,70,71,74,80,81,86,87,123,126,138,140,146,254,255,256,257,
258,260,282,303,304,305,311,313,315,317,319,320,334,365,439,673,675,677,678,
679,684,691,694,695,698,704,782,785,789,791,794,808,811,815,823,825,829,831,
898,908,1236,1244,1247,1251,1278,1282,1288,1384,1407,1450,1522,1524,1527,1545,
1549,1550,1775,1821,1823,1828,1830,1833,2062,2065,2067,2095,2101,2237,2256,
2286,2288,2421,2565,2569,2570,2733,2772,2844],[1,2,3,4,5,6,7,8,9,13,14,15,16,
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,
43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,63,64,65,66,67,68,69,81,
83,84,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,
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,
225,226,227,228,229,230,231,232,233,234,235,255,264,265,266,267,268,269,270,
278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,
297,298,299,300,301,302,303,306,333,339,340,359,367,368,369,370,371,372,373,
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,
583,584,585,586,587,588,589,590,604,605,606,607,608,609,610,611,612,613,622,
623,624,625,626,627,628,641,642,643,644,645,671,679,681,682,715,717,718,719,
720,721,722,723,724,725,726,727,728,729,730,731,744,745,746,747,748,749,750,
751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,
770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,796,
797,798,849,879,885,886,913,914,915,916,917,918,919,920,921,922,923,924,925,
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,
1017,1018,1019,1020,1021,1022,1023,1024,1025,1028,1029,1030,1031,1032,1033,
1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,
1049,1050,1051,1052,1053,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,
1068,1069,1070,1071,1072,1073,1074,1075,1085,1086,1087,1088,1089,1090,1091,
1092,1093,1094,1095,1096,1097,1098,1099,1100,1103,1104,1105,1106,1107,1108,
1109,1110,1111,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,
1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1152,
1153,1154,1179,1180,1185,1186,1229,1230,1231,1249,1259,1260,1261,1275,1311,
1312,1313,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,
1334,1335,1336,1337,1338,1339,1352,1353,1354,1355,1356,1357,1358,1359,1360,
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,
1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1419,
1422,1423,1424,1499,1501,1502,1552,1553,1554,1555,1556,1557,1558,1559,1560,
1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1576,1577,1578,1579,
1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,1590,1591,1592,1593,1594,
1595,1596,1597,1598,1604,1605,1606,1607,1608,1609,1610,1611,1612,1613,1617,
1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,1631,1638,
1639,1640,1641,1642,1648,1649,1650,1651,1652,1653,1654,1655,1656,1657,1658,
1666,1667,1668,1669,1670,1671,1672,1687,1688,1689,1690,1691,1692,1693,1700,
1701,1702,1750,1754,1755,1760,1782,1783,1814,1815,1816,1817,1864,1865,1866,
1867,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,1892,
1893,1894,1895,1896,1904,1905,1906,1907,1908,1909,1910,1911,1912,1913,1914,
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,
1945,1946,1947,1948,1965,1967,1968,1969,2042,2104,2105,2106,2109,2110,2111,
2112,2115,2116,2123,2124,2125,2126,2129,2130,2131,2132,2139,2140,2183,2190,
2191,2192,2228,2230,2231,2232,2233,2234,2246,2289,2290,2291,2292,2301,2302,
2303,2304,2305,2306,2307,2308,2309,2310,2311,2312,2317,2318,2319,2320,2321,
2322,2323,2324,2325,2326,2327,2328,2329,2330,2331,2332,2333,2334,2335,2336,
2337,2338,2339,2340,2341,2342,2343,2344,2360,2362,2363,2465,2491,2492,2493,
2505,2506,2508,2509,2510,2524,2525,2526,2571,2572,2573,2578,2579,2580,2581,
2582,2583,2584,2585,2586,2587,2588,2589,2599,2662,2664,2665,2666,2677,2679,
2680,2681,2736,2773,2774,2775,2787,2790,2845],[1,2,3,4,5,6,7,8,9,13,14,15,16,
17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,45,50,
51,55,56,57,58,61,63,64,65,66,67,68,69,81,83,84,86,87,88,89,91,92,93,94,95,96,
97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,117,120,122,
123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,
142,143,144,145,146,147,148,149,150,151,152,153,162,163,164,165,171,172,173,
175,176,179,181,182,183,184,185,186,187,188,189,190,191,192,200,205,207,208,
218,220,225,229,231,232,236,237,238,239,240,241,242,246,248,249,250,255,264,
265,266,267,268,269,270,278,279,280,281,282,283,288,289,292,294,295,296,297,
298,299,300,303,306,333,334,335,344,345,350,351,359,367,368,369,370,371,372,
373,374,375,376,377,378,379,380,381,382,387,388,391,392,393,394,395,396,397,
398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,417,418,419,424,
425,426,427,428,438,439,440,445,446,449,451,452,453,454,455,456,457,460,461,
462,467,468,471,472,473,474,475,476,477,478,479,484,485,486,491,492,494,495,
496,501,502,507,509,510,511,512,517,522,523,524,525,553,554,557,559,561,570,
571,574,577,578,579,581,587,591,592,593,594,595,597,598,599,600,607,610,614,
615,616,617,629,630,631,637,639,646,647,648,649,658,659,660,661,671,679,681,
682,684,686,715,717,718,719,720,721,722,723,724,727,731,746,748,749,750,751,
754,757,758,759,767,768,769,774,776,777,778,781,782,783,784,785,786,787,796,
797,798,851,879,885,886,887,888,889,890,913,914,915,918,920,921,922,923,924,
927,928,931,932,933,934,937,940,941,942,943,944,952,953,954,959,961,962,963,
964,965,966,969,970,971,972,975,981,999,1002,1003,1004,1012,1013,1014,1015,
1021,1022,1023,1026,1027,1030,1033,1034,1035,1043,1044,1045,1051,1052,1053,
1054,1055,1070,1071,1074,1076,1077,1078,1079,1080,1081,1082,1093,1094,1099,
1101,1102,1107,1112,1113,1142,1143,1147,1148,1155,1156,1159,1160,1169,1170,
1175,1176,1181,1183,1187,1188,1229,1230,1231,1249,1251,1252,1254,1264,1269,
1275,1311,1312,1313,1323,1324,1327,1328,1329,1334,1335,1336,1337,1338,1339,
1354,1355,1360,1361,1380,1381,1382,1383,1384,1385,1390,1391,1394,1396,1397,
1398,1399,1400,1401,1402,1422,1424,1501,1503,1504,1510,1511,1512,1513,1553,
1555,1556,1559,1560,1563,1564,1569,1571,1572,1573,1574,1575,1578,1579,1582,
1610,1611,1614,1615,1616,1632,1634,1640,1643,1644,1645,1646,1659,1665,1673,
1674,1675,1676,1682,1683,1684,1694,1696,1703,1750,1752,1753,1760,1786,1787,
1814,1815,1816,1817,1865,1867,1883,1884,1885,1886,1887,1888,1889,1890,1893,
1914,1916,1917,1918,1919,1922,1925,1926,1927,1935,1936,1937,1938,1944,1945,
1946,1967,1968,1969,1970,1971,1972,1973,2049,2105,2107,2108,2117,2118,2121,
2122,2133,2134,2141,2142,2185,2190,2191,2192,2231,2232,2246,2290,2291,2292,
2303,2304,2307,2308,2319,2320,2325,2326,2362,2364,2365,2368,2369,2370,2371,
2466,2492,2510,2524,2525,2526,2527,2528,2572,2603,2664,2665,2666,2680,2682,
2684,2685,2686,2687,2774,2776,2777,2791,2792,2846],[1,2,3,4,5,6,7,8,9,13,14,
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,
45,46,50,51,53,54,55,56,57,58,59,61,63,64,65,66,67,68,69,81,83,84,88,89,91,92,
93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,
117,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,
138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,162,163,164,
165,168,169,171,172,173,175,176,179,181,182,183,184,185,186,187,188,189,190,
191,192,194,195,200,205,207,208,211,212,218,219,220,221,225,226,227,228,229,
230,231,232,233,234,239,240,241,242,243,244,245,246,247,250,251,252,253,255,
264,265,266,267,268,269,270,278,279,280,281,282,283,288,289,292,294,295,296,
297,298,299,300,303,306,333,335,347,348,352,359,367,368,369,370,371,372,373,
374,375,376,377,378,379,380,381,382,387,388,390,391,392,393,394,395,396,397,
398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,417,418,419,424,
425,426,427,428,430,435,436,437,438,439,440,445,446,449,451,452,453,454,455,
456,457,460,461,462,467,468,471,472,473,474,475,476,477,478,479,484,485,486,
491,492,494,495,496,501,502,507,509,510,511,512,517,522,523,524,525,553,554,
555,556,557,558,559,560,561,563,570,571,574,577,578,579,580,581,582,583,584,
587,593,594,595,596,599,600,601,602,603,607,610,618,619,620,621,632,633,634,
635,636,638,640,650,651,652,653,654,655,656,657,662,663,664,665,666,667,668,
669,671,679,681,682,686,715,717,718,719,720,721,722,723,724,727,731,746,748,
749,750,751,754,757,758,759,767,768,769,774,776,777,778,781,782,783,784,785,
786,787,796,797,798,853,879,885,886,889,890,913,914,915,918,920,921,922,923,
924,927,928,931,932,933,934,937,940,941,942,943,944,952,953,954,956,958,959,
961,962,963,964,965,966,967,968,969,970,971,972,975,981,999,1002,1003,1004,
1012,1013,1014,1015,1021,1022,1023,1027,1030,1033,1034,1035,1043,1044,1045,
1051,1052,1053,1056,1057,1070,1071,1072,1073,1074,1080,1081,1083,1084,1093,
1094,1099,1102,1107,1114,1115,1144,1145,1146,1149,1150,1151,1157,1158,1161,
1162,1163,1164,1165,1166,1167,1168,1171,1172,1173,1174,1177,1178,1182,1184,
1189,1190,1229,1230,1231,1249,1254,1267,1271,1272,1275,1311,1312,1313,1323,
1324,1327,1328,1329,1334,1335,1336,1337,1338,1339,1354,1355,1360,1361,1380,
1381,1382,1383,1384,1385,1390,1391,1394,1396,1397,1398,1399,1400,1401,1402,
1422,1424,1501,1505,1506,1511,1514,1515,1553,1555,1556,1559,1560,1563,1564,
1569,1570,1571,1578,1579,1582,1599,1600,1601,1602,1603,1610,1611,1616,1633,
1635,1636,1637,1640,1647,1660,1661,1662,1663,1664,1677,1678,1679,1680,1681,
1685,1695,1697,1698,1699,1704,1750,1759,1760,1790,1791,1814,1815,1816,1817,
1865,1867,1883,1884,1885,1886,1887,1888,1889,1890,1893,1914,1916,1917,1918,
1919,1922,1925,1926,1927,1935,1936,1937,1938,1944,1945,1946,1967,1968,1969,
1972,1973,2050,2105,2113,2114,2119,2120,2127,2128,2135,2136,2143,2144,2187,
2190,2191,2192,2231,2232,2246,2290,2291,2292,2303,2304,2307,2308,2319,2320,
2325,2326,2362,2366,2367,2369,2372,2373,2467,2492,2510,2524,2525,2526,2528,
2572,2604,2664,2665,2666,2680,2683,2686,2688,2689,2690,2774,2778,2779,2793,
2794,2847],[1,2,3,4,5,6,7,8,9,10,11,14,15,16,17,18,19,20,21,22,23,24,25,26,27,
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,
54,55,56,57,58,59,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,91,92,93,94,95,
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,
230,231,232,233,234,235,254,264,265,266,267,268,269,270,278,279,280,281,282,
283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,
302,303,304,305,307,309,310,311,312,313,314,315,316,317,318,321,322,323,324,
325,326,353,354,356,367,368,369,370,371,372,373,374,375,376,377,378,379,380,
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,
590,604,605,606,607,608,609,610,611,612,613,622,623,624,625,626,627,628,641,
642,643,644,645,672,673,674,675,676,715,717,718,719,720,721,722,723,724,725,
726,727,728,729,730,731,744,745,746,747,748,749,750,751,752,753,754,755,756,
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,
795,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,
817,818,819,820,821,834,835,836,837,871,872,873,874,875,880,881,913,914,915,
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,
1024,1025,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,
1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1058,1059,
1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,
1075,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,
1099,1100,1103,1104,1105,1106,1107,1108,1109,1110,1111,1116,1117,1118,1119,
1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,
1135,1136,1137,1138,1139,1140,1141,1152,1153,1154,1179,1180,1185,1186,1234,
1235,1236,1237,1238,1239,1240,1241,1242,1273,1278,1311,1312,1313,1321,1322,
1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,
1338,1339,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,
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,
1410,1411,1412,1413,1414,1415,1416,1417,1418,1420,1426,1428,1429,1430,1431,
1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1469,1471,1472,
1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1494,1495,1496,1497,
1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,
1567,1568,1569,1570,1571,1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,
1586,1587,1588,1589,1590,1591,1592,1593,1594,1595,1596,1597,1598,1604,1605,
1606,1607,1608,1609,1610,1611,1612,1613,1617,1618,1619,1620,1621,1622,1623,
1624,1625,1626,1627,1628,1629,1630,1631,1638,1639,1640,1641,1642,1648,1649,
1650,1651,1652,1653,1654,1655,1656,1657,1658,1666,1667,1668,1669,1670,1671,
1672,1687,1688,1689,1690,1691,1692,1693,1700,1701,1702,1761,1762,1763,1764,
1765,1766,1767,1768,1808,1809,1810,1811,1820,1821,1822,1823,1824,1864,1865,
1866,1867,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,
1892,1893,1894,1895,1896,1904,1905,1906,1907,1908,1909,1910,1911,1912,1913,
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,
1944,1945,1946,1947,1948,1949,1950,1951,1952,1953,1954,1956,1957,1958,1959,
1960,1961,1962,1963,1964,1966,1975,1976,1977,1978,2008,2009,2010,2011,2012,
2013,2020,2021,2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2032,2033,
2034,2035,2036,2104,2105,2106,2109,2110,2111,2112,2115,2116,2123,2124,2125,
2126,2129,2130,2131,2132,2139,2140,2193,2194,2195,2196,2222,2223,2224,2225,
2226,2227,2235,2236,2237,2238,2239,2240,2241,2242,2243,2244,2289,2290,2291,
2292,2301,2302,2303,2304,2305,2306,2307,2308,2309,2310,2311,2312,2317,2318,
2319,2320,2321,2322,2323,2324,2325,2326,2327,2328,2329,2330,2331,2332,2333,
2334,2335,2336,2337,2338,2339,2340,2341,2342,2343,2344,2345,2348,2349,2350,
2351,2352,2353,2354,2355,2356,2357,2358,2359,2382,2383,2384,2385,2386,2387,
2395,2396,2397,2398,2399,2400,2401,2402,2403,2404,2465,2494,2495,2496,2501,
2502,2503,2504,2511,2512,2513,2514,2515,2516,2517,2518,2519,2520,2521,2522,
2571,2572,2573,2578,2579,2580,2581,2582,2583,2584,2585,2586,2587,2588,2589,
2591,2592,2593,2594,2595,2596,2598,2607,2608,2620,2663,2667,2668,2669,2670,
2671,2672,2673,2674,2675,2676,2736,2740,2780,2781,2782,2783,2784,2785,2786,
2848],[1,3,5,6,7,8,9,13,21,23,24,26,27,28,29,30,32,34,35,41,42,45,46,47,49,50,
51,52,53,55,56,57,58,59,64,65,66,67,69,81,83,84,86,87,88,89,123,124,125,126,
128,136,137,138,140,141,142,143,144,146,147,148,154,155,157,159,162,164,166,
168,170,171,173,174,175,176,177,178,179,180,181,183,184,185,186,187,191,193,
194,213,214,215,218,219,220,221,222,224,225,226,228,229,230,231,232,233,234,
235,236,237,238,239,240,241,242,243,244,245,246,247,249,250,252,253,255,281,
282,283,284,285,288,290,292,293,294,296,297,298,301,303,306,333,334,335,339,
340,344,345,347,348,350,351,352,359,438,439,440,441,443,445,447,449,450,451,
453,455,456,458,480,481,484,486,487,488,491,492,493,494,496,497,498,502,503,
504,507,508,510,511,512,528,530,532,534,540,542,547,553,555,557,558,559,560,
564,568,569,570,571,572,573,575,577,579,580,581,582,584,587,588,591,592,593,
594,595,596,597,599,600,601,602,622,623,624,625,626,627,629,630,631,632,633,
634,635,636,639,640,641,643,644,645,646,647,648,649,650,651,652,653,654,655,
656,657,658,659,661,662,663,664,666,667,668,669,679,681,682,684,686,752,754,
755,757,759,760,762,767,769,770,772,776,778,779,782,783,784,785,787,796,797,
798,849,851,853,860,861,863,864,879,885,886,887,888,889,890,997,999,1000,1002,
1004,1005,1009,1012,1014,1016,1018,1021,1023,1024,1026,1027,1058,1060,1061,
1063,1070,1072,1074,1075,1076,1078,1080,1081,1083,1086,1088,1094,1095,1096,
1099,1100,1101,1102,1116,1118,1119,1121,1123,1130,1132,1133,1136,1142,1143,
1144,1145,1146,1147,1149,1151,1152,1153,1155,1156,1157,1158,1159,1160,1161,
1163,1164,1165,1169,1171,1173,1174,1175,1176,1177,1178,1191,1192,1193,1195,
1196,1197,1198,1199,1200,1201,1203,1208,1209,1214,1215,1216,1217,1218,1221,
1249,1251,1254,1259,1260,1264,1267,1269,1271,1275,1358,1360,1362,1364,1366,
1368,1370,1383,1384,1385,1386,1388,1390,1392,1394,1395,1396,1398,1400,1401,
1403,1419,1422,1423,1424,1490,1499,1501,1502,1503,1504,1505,1506,1510,1511,
1512,1513,1514,1515,1608,1610,1612,1614,1616,1617,1619,1625,1627,1632,1633,
1634,1635,1637,1666,1668,1673,1675,1677,1679,1682,1684,1685,1688,1690,1694,
1695,1696,1697,1699,1705,1706,1707,1709,1710,1713,1714,1715,1719,1720,1721,
1722,1723,1724,1782,1786,1790,1801,1803,1814,1815,1817,1908,1920,1922,1923,
1925,1927,1928,1932,1935,1937,1939,1941,1944,1946,1947,1965,1967,1968,1969,
1970,1971,1972,1973,2042,2043,2044,2049,2050,2051,2052,2129,2133,2135,2137,
2138,2147,2149,2151,2153,2163,2164,2212,2228,2231,2233,2246,2323,2325,2327,
2329,2331,2337,2339,2360,2362,2363,2364,2365,2366,2367,2368,2369,2370,2371,
2372,2373,2411,2472,2505,2524,2525,2526,2527,2528,2586,2599,2600,2601,2603,
2604,2605,2606,2677,2680,2681,2682,2683,2684,2686,2687,2688,2690,2743,2787,
2788,2791,2793,2795,2849],[1,3,5,6,7,8,9,13,21,23,24,26,27,28,29,30,32,33,34,
35,41,42,45,46,47,49,50,51,52,53,54,55,56,57,58,59,64,65,66,67,69,81,83,84,
123,124,125,126,128,136,137,138,140,141,142,143,144,146,147,148,154,155,157,
159,162,164,165,166,168,169,170,171,173,174,175,176,177,178,179,180,181,182,
183,184,185,186,187,191,192,193,194,195,213,214,215,218,219,220,221,222,224,
225,226,227,228,229,230,231,232,233,234,235,248,251,255,281,282,283,284,285,
288,290,292,293,294,296,297,298,301,303,306,333,339,340,359,438,439,440,441,
443,445,447,449,450,451,453,455,456,458,480,481,484,486,487,488,491,492,493,
494,495,496,497,498,502,503,504,507,508,510,511,512,528,530,531,532,534,540,
542,547,553,554,555,556,557,558,559,560,564,566,568,569,570,571,572,573,575,
577,578,579,580,581,582,583,584,586,587,588,598,603,622,623,624,625,626,627,
637,638,641,643,644,645,660,665,679,681,682,752,754,755,757,759,760,762,767,
769,770,772,776,778,779,782,783,784,785,787,796,797,798,849,879,885,886,997,
999,1000,1002,1004,1005,1009,1012,1014,1016,1018,1021,1023,1024,1058,1060,
1061,1063,1070,1071,1072,1073,1074,1075,1077,1079,1082,1084,1086,1088,1094,
1095,1096,1099,1100,1116,1117,1118,1119,1121,1123,1130,1131,1132,1133,1136,
1148,1150,1152,1153,1162,1166,1167,1168,1170,1172,1194,1202,1219,1220,1249,
1252,1259,1260,1272,1275,1358,1360,1362,1364,1366,1368,1370,1383,1384,1385,
1386,1388,1390,1392,1394,1395,1396,1398,1400,1401,1403,1419,1422,1423,1424,
1499,1501,1502,1608,1610,1612,1615,1617,1619,1625,1627,1636,1666,1667,1668,
1674,1676,1678,1680,1681,1683,1686,1688,1690,1698,1708,1716,1725,1782,1787,
1791,1814,1815,1817,1908,1920,1922,1923,1925,1927,1928,1932,1935,1937,1939,
1941,1944,1946,1947,1965,1967,1968,1969,2042,2129,2134,2136,2148,2150,2152,
2154,2213,2228,2231,2233,2246,2323,2325,2327,2329,2331,2337,2339,2360,2362,
2363,2473,2505,2524,2525,2526,2586,2599,2677,2680,2681,2685,2689,2787,2792,
2794,2850],[1,3,5,6,7,8,9,13,21,23,24,26,27,28,29,30,32,34,35,43,44,45,48,50,
51,54,55,56,57,58,64,65,66,67,69,81,83,84,86,87,88,89,123,124,125,126,128,136,
137,138,140,141,142,143,144,146,147,148,156,158,160,161,162,164,167,169,171,
173,175,176,179,181,183,184,185,186,187,191,195,196,216,217,218,220,223,225,
227,229,231,232,236,237,238,239,240,241,242,246,249,250,251,255,281,282,283,
286,287,288,291,292,294,296,297,298,302,303,306,333,334,335,344,345,350,351,
359,438,439,440,442,444,445,448,449,451,453,455,456,459,482,483,484,486,489,
490,491,492,494,496,499,500,502,505,506,507,510,511,512,536,538,544,546,549,
551,553,556,557,559,565,570,571,576,577,579,581,583,587,591,592,593,594,595,
597,599,600,603,628,629,630,631,638,639,642,646,647,648,649,658,659,661,665,
679,681,682,684,686,753,754,756,757,759,764,765,767,769,771,773,776,778,782,
783,784,785,787,796,797,798,851,879,885,886,887,888,889,890,998,999,1001,1002,
1004,1007,1011,1012,1014,1017,1019,1021,1023,1026,1027,1064,1066,1067,1069,
1070,1073,1074,1076,1078,1080,1081,1084,1090,1092,1094,1097,1098,1099,1101,
1102,1126,1128,1135,1137,1139,1142,1143,1147,1150,1155,1156,1159,1160,1162,
1166,1169,1172,1175,1176,1204,1207,1210,1212,1249,1251,1254,1261,1264,1269,
1272,1275,1359,1360,1363,1372,1374,1376,1378,1383,1384,1385,1387,1389,1390,
1393,1394,1396,1398,1400,1401,1404,1422,1424,1501,1503,1504,1510,1511,1512,
1513,1609,1610,1613,1614,1616,1621,1624,1630,1632,1634,1636,1670,1671,1673,
1675,1678,1680,1682,1684,1692,1694,1696,1698,1711,1717,1783,1786,1791,1814,
1815,1817,1910,1921,1922,1924,1925,1927,1930,1934,1935,1937,1940,1942,1944,
1946,1967,1968,1969,1970,1971,1972,1973,2049,2131,2133,2136,2155,2157,2159,
2161,2214,2230,2231,2234,2246,2324,2325,2328,2333,2335,2341,2343,2362,2364,
2365,2368,2369,2370,2371,2474,2508,2524,2525,2526,2527,2528,2588,2603,2679,
2680,2682,2684,2686,2687,2689,2790,2791,2794,2851],[1,3,5,6,7,8,9,13,21,23,24,
26,27,28,29,30,32,33,34,35,43,44,45,46,48,50,51,53,54,55,56,57,58,59,64,65,66,
67,69,81,83,84,88,89,123,124,125,126,128,136,137,138,140,141,142,143,144,146,
147,148,156,158,160,161,162,164,165,167,168,169,171,173,175,176,179,181,182,
183,184,185,186,187,191,192,194,195,196,216,217,218,219,220,221,223,225,226,
227,228,229,230,231,232,233,234,239,240,241,242,243,244,245,246,247,248,250,
252,253,255,281,282,283,286,287,288,291,292,294,296,297,298,302,303,306,333,
335,347,348,352,359,438,439,440,442,444,445,448,449,451,453,455,456,459,482,
483,484,486,489,490,491,492,494,495,496,499,500,502,505,506,507,510,511,512,
536,538,544,546,549,551,552,553,554,555,556,557,558,559,560,565,567,570,571,
576,577,578,579,580,581,582,583,584,587,593,594,595,596,598,599,600,601,602,
628,632,633,634,635,636,637,640,642,650,651,652,653,654,655,656,657,660,662,
663,664,666,667,668,669,679,681,682,686,753,754,756,757,759,764,765,767,769,
771,773,776,778,782,783,784,785,787,796,797,798,853,879,885,886,889,890,998,
999,1001,1002,1004,1007,1011,1012,1014,1017,1019,1021,1023,1027,1064,1066,
1067,1069,1070,1071,1072,1073,1074,1077,1079,1080,1081,1082,1083,1090,1092,
1094,1097,1098,1099,1102,1126,1128,1135,1137,1138,1139,1140,1144,1145,1146,
1148,1149,1151,1157,1158,1161,1163,1164,1165,1167,1168,1170,1171,1173,1174,
1177,1178,1205,1206,1211,1213,1249,1252,1254,1261,1267,1271,1275,1359,1360,
1363,1372,1374,1376,1378,1383,1384,1385,1387,1389,1390,1393,1394,1396,1398,
1400,1401,1404,1422,1424,1501,1505,1506,1511,1514,1515,1609,1610,1613,1615,
1616,1621,1624,1630,1633,1635,1637,1670,1671,1672,1674,1676,1677,1679,1681,
1683,1685,1692,1695,1697,1699,1712,1718,1783,1787,1790,1814,1815,1817,1910,
1921,1922,1924,1925,1927,1930,1934,1935,1937,1940,1942,1944,1946,1967,1968,
1969,1972,1973,2050,2131,2134,2135,2156,2158,2160,2162,2215,2230,2231,2234,
2246,2324,2325,2328,2333,2335,2341,2343,2362,2366,2367,2369,2372,2373,2475,
2508,2524,2525,2526,2528,2588,2604,2679,2680,2683,2685,2686,2688,2690,2790,
2792,2793,2852],[1,3,5,6,7,8,10,12,13,21,23,24,26,27,28,29,30,32,34,35,41,42,
45,46,47,49,50,51,52,53,55,56,57,58,59,70,74,80,81,83,84,86,87,88,89,123,124,
125,126,128,136,137,138,140,141,142,143,144,146,147,148,154,155,157,159,162,
164,166,168,170,171,173,174,175,176,177,178,179,180,181,183,184,185,186,187,
191,193,194,213,214,215,218,219,220,221,222,224,225,226,228,229,230,231,232,
233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,249,250,252,253,
257,304,306,308,311,313,315,317,325,326,333,334,335,339,340,344,345,347,348,
350,351,352,353,355,357,359,360,361,438,439,440,441,443,445,447,449,450,451,
453,455,456,458,480,481,484,486,487,488,491,492,493,494,496,497,498,502,503,
504,507,508,510,511,512,528,530,532,534,540,542,547,553,555,557,558,559,560,
564,568,569,570,571,572,573,575,577,579,580,581,582,584,587,588,591,592,593,
594,595,596,597,599,600,601,602,622,623,624,625,626,627,629,630,631,632,633,
634,635,636,639,640,641,643,644,645,646,647,648,649,650,651,652,653,654,655,
656,657,658,659,661,662,663,664,666,667,668,669,691,694,695,789,791,796,797,
798,808,811,815,817,819,820,834,838,839,840,842,849,851,853,860,861,863,864,
873,878,879,885,886,887,888,889,890,891,892,997,999,1000,1002,1004,1005,1009,
1012,1014,1016,1018,1021,1023,1024,1026,1027,1058,1060,1061,1063,1070,1072,
1074,1075,1076,1078,1080,1081,1083,1086,1088,1094,1095,1096,1099,1100,1101,
1102,1116,1118,1119,1121,1123,1130,1132,1133,1136,1142,1143,1144,1145,1146,
1147,1149,1151,1152,1153,1155,1156,1157,1158,1159,1160,1161,1163,1164,1165,
1169,1171,1173,1174,1175,1176,1177,1178,1191,1192,1193,1195,1196,1197,1198,
1199,1200,1201,1203,1208,1209,1214,1215,1216,1217,1218,1221,1280,1288,1290,
1292,1407,1410,1412,1417,1419,1421,1422,1423,1424,1425,1427,1439,1442,1444,
1445,1446,1469,1471,1476,1478,1490,1496,1497,1499,1500,1501,1502,1503,1504,
1505,1506,1508,1510,1511,1512,1513,1514,1515,1608,1610,1612,1614,1616,1617,
1619,1625,1627,1632,1633,1634,1635,1637,1666,1668,1673,1675,1677,1679,1682,
1684,1685,1688,1690,1694,1695,1696,1697,1699,1705,1706,1707,1709,1710,1713,
1714,1715,1719,1720,1721,1722,1723,1724,1826,1835,1836,1837,1839,1844,1845,
1952,1955,1957,1960,1965,1967,1968,1969,1970,1971,1972,1973,1974,1980,1982,
1984,2010,2013,2024,2031,2033,2034,2037,2038,2039,2041,2042,2043,2044,2045,
2049,2050,2051,2052,2055,2129,2133,2135,2137,2138,2147,2149,2151,2153,2163,
2164,2249,2251,2261,2265,2271,2346,2349,2353,2355,2360,2361,2362,2363,2364,
2365,2366,2367,2368,2369,2370,2371,2372,2373,2386,2398,2405,2406,2407,2411,
2472,2531,2532,2533,2535,2546,2547,2548,2592,2597,2599,2600,2601,2602,2603,
2604,2605,2606,2609,2611,2621,2691,2692,2704,2741,2743,2796,2797,2798,2853],[
1,2,3,4,5,6,7,8,10,12,13,14,15,16,17,18,19,20,23,26,28,30,31,32,33,34,35,36,
39,41,42,43,44,45,46,49,50,51,52,53,54,55,56,57,58,59,62,70,72,73,74,77,80,83,
86,88,92,94,96,98,99,100,101,104,107,110,111,114,115,116,117,118,120,121,136,
138,141,154,157,160,161,162,163,164,165,166,167,168,169,175,177,181,182,183,
184,185,186,187,188,190,191,192,194,195,197,198,201,203,211,212,213,214,215,
216,218,219,220,221,224,225,226,227,228,229,230,231,232,233,234,235,236,237,
238,239,240,241,242,243,244,245,246,247,249,250,252,253,257,271,272,273,309,
311,312,315,316,317,318,319,320,323,325,326,328,339,341,344,347,349,353,355,
358,359,360,361,372,374,376,383,385,387,388,389,390,393,397,400,402,403,404,
413,414,417,420,421,430,431,432,435,436,437,480,483,484,487,490,494,495,496,
528,529,530,531,540,541,549,550,551,552,553,554,555,556,557,558,559,560,561,
563,564,565,566,567,577,578,579,580,581,582,583,584,586,591,593,595,596,597,
599,600,601,602,622,623,624,625,626,627,629,630,631,632,633,634,635,636,639,
640,643,644,645,646,648,649,650,652,653,654,655,656,657,658,659,661,662,663,
664,666,667,668,669,689,690,695,716,732,733,734,735,800,802,803,808,809,817,
818,819,820,821,823,827,829,832,834,838,839,840,842,844,848,860,866,871,872,
873,878,879,884,887,889,891,892,893,894,895,896,897,925,927,929,933,934,945,
946,949,953,956,958,959,960,965,966,967,968,984,987,1058,1067,1070,1071,1072,
1073,1076,1077,1080,1082,1083,1116,1117,1118,1119,1120,1130,1131,1132,1133,
1137,1138,1139,1140,1141,1142,1144,1146,1147,1149,1151,1159,1161,1162,1164,
1167,1168,1169,1171,1172,1173,1174,1191,1192,1193,1195,1196,1198,1199,1200,
1201,1203,1214,1215,1216,1217,1218,1221,1282,1283,1290,1292,1315,1317,1319,
1340,1345,1428,1431,1433,1439,1440,1444,1446,1455,1458,1459,1462,1465,1469,
1470,1472,1474,1476,1477,1478,1479,1494,1496,1497,1499,1500,1503,1505,1507,
1565,1569,1570,1572,1574,1584,1586,1592,1594,1599,1601,1603,1666,1667,1671,
1672,1673,1674,1677,1678,1681,1705,1707,1713,1715,1827,1830,1831,1836,1838,
1840,1842,1844,1871,1873,1875,1897,1898,1976,1980,1981,1996,2005,2008,2010,
2011,2015,2017,2018,2019,2025,2026,2031,2032,2033,2034,2035,2037,2038,2039,
2041,2043,2045,2046,2047,2048,2056,2057,2058,2115,2117,2119,2147,2148,2159,
2160,2254,2260,2266,2271,2296,2300,2374,2382,2386,2387,2389,2400,2401,2405,
2407,2468,2537,2539,2541,2542,2547,2549,2575,2607,2609,2610,2613,2614,2615,
2694,2700,2737,2744,2802,2854],[1,3,5,6,7,8,10,12,13,21,23,24,26,27,28,29,30,
32,34,35,41,42,45,46,47,49,50,51,52,53,55,56,57,58,59,70,74,80,81,83,84,86,87,
88,89,123,124,125,126,128,136,137,138,140,141,142,143,144,146,147,148,154,155,
157,159,162,164,166,168,170,171,173,174,175,176,177,178,179,180,181,183,184,
185,186,187,191,193,194,213,214,215,218,219,220,221,222,224,225,226,228,229,
230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,249,
250,252,253,257,304,311,313,315,317,319,320,325,326,333,334,335,339,340,344,
345,347,348,350,351,352,353,355,358,359,360,361,438,439,440,441,443,445,447,
449,450,451,453,455,456,458,480,481,484,486,487,488,491,492,493,494,496,497,
498,502,503,504,507,508,510,511,512,528,530,532,534,540,542,547,553,555,557,
558,559,560,564,568,569,570,571,572,573,575,577,579,580,581,582,584,587,588,
591,592,593,594,595,596,597,599,600,601,602,622,623,624,625,626,627,629,630,
631,632,633,634,635,636,639,640,641,643,644,645,646,647,648,649,650,651,652,
653,654,655,656,657,658,659,661,662,663,664,666,667,668,669,691,694,695,789,
791,808,811,815,817,819,820,823,825,827,828,829,831,832,833,834,838,839,840,
842,849,851,853,860,861,863,864,873,878,879,884,885,886,887,888,889,890,891,
892,893,894,895,896,897,997,999,1000,1002,1004,1005,1009,1012,1014,1016,1018,
1021,1023,1024,1026,1027,1058,1060,1061,1063,1070,1072,1074,1075,1076,1078,
1080,1081,1083,1086,1088,1094,1095,1096,1099,1100,1101,1102,1116,1118,1119,
1121,1123,1130,1132,1133,1136,1142,1143,1144,1145,1146,1147,1149,1151,1152,
1153,1155,1156,1157,1158,1159,1160,1161,1163,1164,1165,1169,1171,1173,1174,
1175,1176,1177,1178,1191,1192,1193,1195,1196,1197,1198,1199,1200,1201,1203,
1208,1209,1214,1215,1216,1217,1218,1221,1282,1288,1290,1292,1407,1410,1412,
1417,1439,1442,1444,1445,1446,1449,1450,1451,1455,1456,1459,1461,1462,1463,
1466,1467,1468,1469,1470,1471,1476,1478,1490,1496,1497,1499,1500,1501,1502,
1503,1504,1505,1506,1507,1510,1511,1512,1513,1514,1515,1608,1610,1612,1614,
1616,1617,1619,1625,1627,1632,1633,1634,1635,1637,1666,1668,1673,1675,1677,
1679,1682,1684,1685,1688,1690,1694,1695,1696,1697,1699,1705,1706,1707,1709,
1710,1713,1714,1715,1719,1720,1721,1722,1723,1724,1828,1830,1833,1835,1836,
1837,1838,1839,1844,1845,1952,1955,1957,1960,1980,1982,1984,1986,1988,1989,
1996,1998,1999,2001,2010,2013,2015,2017,2018,2019,2024,2031,2033,2034,2037,
2038,2039,2041,2042,2043,2044,2045,2046,2047,2048,2049,2050,2051,2052,2056,
2057,2058,2129,2133,2135,2137,2138,2147,2149,2151,2153,2163,2164,2256,2260,
2261,2265,2271,2346,2349,2353,2355,2378,2386,2389,2391,2393,2398,2405,2406,
2407,2411,2472,2537,2538,2541,2544,2546,2547,2548,2549,2592,2597,2609,2611,
2613,2614,2616,2618,2621,2695,2698,2704,2741,2749,2802,2855],[1,3,4,5,6,7,8,
10,12,13,22,23,25,26,28,30,31,32,33,34,35,36,37,38,39,40,41,42,44,45,46,48,49,
50,51,52,53,54,55,56,57,58,59,70,73,74,78,79,80,82,83,85,86,88,129,130,131,
132,133,134,135,136,138,139,141,149,150,151,152,154,156,157,158,162,163,164,
165,166,167,168,169,175,177,181,183,184,185,186,187,188,189,190,191,194,196,
197,199,200,201,202,204,205,206,207,208,210,211,212,213,214,215,217,218,219,
220,221,223,224,225,226,228,229,230,231,232,233,234,235,236,237,238,239,240,
241,242,243,244,245,246,247,248,249,250,251,252,253,257,310,311,314,315,316,
317,318,319,320,324,325,326,332,336,337,338,339,342,343,344,346,347,353,355,
358,359,360,361,460,461,462,463,465,467,468,469,470,471,472,474,475,477,479,
480,482,484,485,487,489,494,496,513,515,517,518,520,522,523,527,528,529,530,
531,536,537,538,539,540,543,544,553,555,557,558,559,560,561,562,563,564,565,
567,577,579,580,581,582,584,585,591,593,595,596,597,598,599,600,601,602,603,
604,606,607,608,609,610,612,613,614,615,616,617,618,619,620,621,622,623,624,
625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,642,643,644,
645,646,648,649,650,652,653,654,655,656,657,658,659,660,661,662,663,664,665,
666,667,668,669,692,693,695,804,806,807,808,810,816,817,819,820,821,822,823,
824,826,827,829,830,832,834,837,838,839,840,841,842,854,856,857,859,860,868,
869,872,873,876,877,878,879,882,883,884,887,889,891,892,893,894,895,896,897,
1028,1030,1031,1033,1034,1036,1037,1040,1043,1045,1047,1049,1050,1051,1053,
1054,1055,1056,1057,1058,1059,1064,1065,1070,1072,1076,1079,1080,1083,1084,
1103,1105,1107,1109,1111,1112,1113,1114,1115,1116,1118,1119,1120,1126,1128,
1129,1130,1132,1133,1135,1142,1144,1146,1147,1148,1149,1150,1151,1159,1161,
1164,1166,1169,1170,1171,1173,1174,1179,1180,1181,1182,1183,1184,1185,1186,
1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1198,1199,1200,1201,1202,
1203,1204,1205,1206,1207,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,
1220,1221,1282,1289,1290,1292,1434,1436,1438,1439,1443,1444,1446,1447,1448,
1452,1453,1454,1455,1457,1459,1460,1462,1464,1469,1470,1473,1475,1476,1477,
1478,1479,1484,1485,1492,1495,1496,1497,1498,1499,1500,1503,1505,1507,1509,
1516,1517,1518,1519,1520,1638,1640,1642,1643,1646,1647,1648,1650,1654,1656,
1659,1660,1661,1663,1665,1666,1670,1673,1676,1677,1680,1700,1702,1703,1704,
1705,1707,1708,1711,1712,1713,1715,1716,1717,1718,1726,1727,1728,1729,1730,
1731,1732,1733,1829,1830,1832,1836,1838,1841,1843,1844,1978,1979,1980,1983,
1985,1991,1993,1994,1996,1997,2002,2003,2009,2010,2012,2014,2015,2016,2017,
2018,2019,2027,2028,2030,2031,2033,2034,2035,2036,2037,2038,2039,2040,2041,
2043,2045,2046,2047,2048,2053,2054,2056,2057,2058,2139,2141,2143,2145,2146,
2147,2150,2155,2158,2165,2166,2258,2260,2262,2269,2271,2376,2380,2384,2386,
2388,2389,2390,2392,2394,2402,2403,2404,2405,2407,2408,2409,2410,2412,2413,
2414,2415,2416,2476,2537,2540,2541,2543,2547,2549,2608,2609,2612,2613,2614,
2617,2619,2622,2623,2696,2702,2705,2746,2748,2750,2802,2856],[1,3,9,13,21,23,
24,60,64,67,81,90,123,255,260,282,294,298,303,306,320,679,704,714,757,782,797,
825,1247,1275,1549,1550,1815,2095,2280,2570,2857],[1,3,5,6,7,8,13,21,23,24,26,
27,28,29,30,32,34,35,45,50,51,55,56,57,58,81,83,84,86,87,88,89,90,123,124,125,
126,128,136,137,138,140,141,142,143,144,146,147,148,162,164,171,173,175,176,
179,181,183,184,185,186,187,191,218,220,225,229,231,232,236,237,238,239,240,
241,242,246,249,250,306,320,333,334,335,344,345,350,351,359,362,438,439,440,
445,449,451,453,455,456,484,486,491,492,494,496,502,507,510,511,512,553,557,
559,570,571,577,579,581,587,591,592,593,594,595,597,599,600,629,630,631,639,
646,647,648,649,658,659,661,714,796,797,798,825,827,828,829,831,832,833,851,
879,885,886,887,888,889,890,895,999,1002,1004,1012,1014,1021,1023,1026,1027,
1070,1074,1076,1078,1080,1081,1094,1099,1101,1102,1142,1143,1147,1155,1156,
1159,1160,1169,1175,1176,1308,1422,1424,1449,1450,1451,1459,1461,1466,1467,
1501,1503,1504,1507,1510,1511,1512,1513,1529,1610,1614,1616,1632,1634,1673,
1675,1682,1684,1694,1696,1967,1968,1969,1970,1971,1972,1973,1988,2018,2049,
2072,2133,2277,2279,2280,2362,2364,2365,2368,2369,2370,2371,2389,2391,2393,
2550,2552,2553,2603,2616,2804,2858],[1,2,3,4,5,6,9,13,14,15,16,17,18,21,22,23,
24,25,26,27,28,29,36,37,41,42,43,44,47,48,49,60,61,62,63,64,65,66,67,68,69,81,
83,84,85,91,92,93,94,95,96,97,102,103,104,105,106,114,115,116,119,123,124,125,
129,130,131,136,137,143,144,149,154,155,156,157,158,159,160,161,170,197,198,
199,204,255,259,260,261,262,263,264,265,266,267,268,269,270,271,274,275,278,
279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,
298,299,300,301,302,303,306,333,339,340,343,346,349,364,367,368,369,372,373,
378,379,383,384,385,386,405,409,413,414,415,416,438,441,442,443,444,460,463,
464,465,466,480,481,482,483,497,498,499,500,513,514,515,516,670,671,677,679,
681,682,683,685,699,700,701,702,703,704,705,706,707,708,709,710,711,715,717,
718,719,720,721,722,723,724,725,726,727,728,729,730,731,733,736,737,744,745,
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,
784,796,797,798,849,852,859,862,902,903,904,905,906,913,916,917,925,926,935,
936,973,974,979,980,997,998,1028,1029,1222,1223,1224,1225,1226,1229,1230,1231,
1232,1233,1243,1244,1245,1249,1253,1259,1260,1261,1263,1265,1266,1268,1270,
1275,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1311,
1312,1313,1321,1322,1323,1324,1325,1326,1327,1328,1330,1331,1332,1333,1334,
1335,1336,1346,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,
1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,
1379,1380,1383,1386,1387,1388,1389,1419,1422,1423,1530,1531,1532,1533,1534,
1535,1536,1537,1538,1539,1540,1541,1542,1549,1552,1734,1735,1736,1737,1738,
1739,1740,1743,1750,1754,1755,1756,1757,1758,1760,1769,1771,1772,1773,1774,
1782,1783,1788,1789,1800,1802,1804,1814,1815,1816,1817,1849,1850,1851,1852,
1853,1854,1855,1864,1865,1866,1879,1880,1881,1882,1889,1891,1892,1904,1905,
1906,1907,1908,1909,1910,1911,1912,1913,1920,1921,1965,2073,2074,2075,2076,
2077,2078,2079,2080,2081,2082,2083,2084,2085,2093,2094,2095,2096,2097,2167,
2168,2169,2172,2174,2183,2186,2188,2189,2190,2191,2192,2197,2199,2228,2230,
2231,2232,2233,2234,2272,2285,2289,2309,2435,2436,2437,2438,2439,2440,2441,
2446,2447,2448,2449,2450,2451,2452,2453,2454,2480,2491,2492,2493,2505,2506,
2508,2509,2558,2559,2560,2561,2562,2639,2641,2642,2643,2644,2645,2646,2647,
2662,2717,2718,2719,2720,2721,2722,2723,2724,2725,2766,2806,2807,2808,2809,
2810,2811,2812,2859],[1,2,3,4,5,6,9,10,11,14,15,16,17,18,21,22,23,24,25,26,27,
28,29,36,37,41,42,43,44,47,48,49,60,61,63,64,65,66,67,68,69,70,71,72,73,75,76,
91,92,93,94,95,96,97,102,103,104,105,106,114,115,116,119,123,124,125,129,130,
131,136,137,143,144,149,154,155,156,157,158,159,160,161,170,197,198,199,204,
254,259,260,261,262,263,264,265,266,267,268,269,270,278,279,280,281,282,283,
284,285,286,287,288,289,290,291,292,293,303,304,305,309,310,311,312,313,314,
321,353,354,356,365,367,368,369,372,373,378,379,383,384,385,386,405,409,413,
414,415,416,438,441,442,443,444,460,463,464,465,466,480,481,482,483,497,498,
499,500,513,514,515,516,672,673,674,675,676,699,700,701,702,703,704,705,706,
707,708,709,710,711,717,719,721,723,724,725,726,727,728,729,731,744,745,746,
747,752,753,754,755,756,760,761,762,763,764,765,766,781,782,783,784,788,789,
790,793,800,801,804,805,834,835,871,872,874,875,880,907,908,909,913,916,917,
925,926,935,936,973,974,979,980,997,998,1028,1029,1234,1235,1236,1237,1238,
1273,1278,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,
1321,1323,1325,1330,1331,1332,1333,1334,1335,1336,1352,1353,1358,1359,1380,
1383,1386,1387,1388,1389,1405,1417,1418,1469,1471,1472,1473,1474,1475,1480,
1543,1544,1545,1547,1549,1552,1761,1768,1808,1809,1810,1811,1820,1821,1822,
1849,1850,1851,1852,1853,1854,1855,1879,1889,1891,1892,1912,1913,1920,1921,
1957,1958,1959,1962,2008,2009,2020,2021,2086,2087,2089,2090,2093,2094,2095,
2096,2097,2194,2195,2196,2222,2223,2235,2244,2272,2286,2309,2348,2442,2443,
2444,2446,2447,2448,2449,2450,2451,2452,2453,2454,2494,2518,2519,2520,2563,
2564,2565,2640,2641,2642,2643,2644,2645,2646,2647,2668,2726,2727,2766,2813,
2814,2815,2860],[1,2,3,4,5,6,7,8,10,12,13,15,16,18,19,20,22,23,24,25,26,28,29,
31,32,35,36,37,38,39,40,41,42,43,44,45,46,48,49,51,53,60,62,70,72,73,74,77,78,
79,80,81,82,83,84,85,86,87,88,89,103,104,106,107,108,111,112,114,116,117,118,
122,129,130,131,133,134,136,140,142,143,145,147,149,153,154,156,157,158,159,
161,163,164,167,168,176,178,197,198,199,200,201,202,203,204,210,213,215,216,
217,257,259,260,261,262,263,271,272,273,274,275,276,277,310,311,312,313,314,
316,317,319,320,323,324,327,328,329,330,331,332,333,334,335,336,337,338,339,
340,341,342,343,344,345,346,347,348,349,350,351,352,353,355,358,365,409,410,
412,413,416,417,418,421,422,427,428,431,433,460,463,465,466,468,470,480,482,
486,488,490,497,499,501,503,505,513,515,519,521,529,530,537,538,541,542,545,
546,604,605,689,690,691,692,693,694,695,699,700,701,702,703,704,705,706,707,
708,709,710,711,732,733,734,735,736,737,738,739,740,741,742,743,804,805,807,
809,811,812,814,822,826,827,831,833,834,843,844,845,846,847,848,849,850,851,
852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,
871,872,873,876,877,878,882,907,908,909,979,981,983,984,985,993,994,1028,1032,
1037,1041,1060,1066,1085,1089,1282,1283,1284,1285,1286,1287,1288,1289,1292,
1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1340,1342,
1344,1345,1346,1347,1348,1349,1350,1351,1435,1452,1455,1457,1461,1463,1465,
1469,1470,1471,1473,1474,1475,1477,1478,1486,1487,1488,1489,1490,1491,1492,
1493,1494,1495,1498,1543,1544,1545,1547,1550,1606,1829,1831,1833,1834,1839,
1840,1841,1842,1843,1844,1845,1849,1850,1851,1852,1853,1854,1855,1897,1900,
1902,1903,1991,1995,1998,2004,2009,2011,2013,2014,2021,2023,2028,2029,2086,
2087,2089,2090,2098,2099,2100,2101,2102,2259,2260,2263,2264,2265,2266,2267,
2268,2269,2272,2288,2314,2385,2442,2443,2444,2455,2456,2457,2458,2459,2460,
2461,2462,2463,2540,2542,2544,2545,2567,2568,2569,2640,2648,2649,2650,2651,
2652,2653,2654,2703,2729,2730,2767,2817,2818,2819,2861],[1,2,3,4,5,6,7,8,9,13,
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,
40,45,50,51,60,61,62,63,64,65,66,67,68,69,77,81,82,83,84,85,86,87,88,89,91,92,
93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,
117,120,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,
139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,162,163,164,165,
171,172,173,175,176,179,189,200,205,255,259,260,261,262,263,264,265,266,267,
268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,288,289,292,
303,320,327,328,329,330,331,333,334,335,336,337,338,343,344,345,350,351,367,
368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,387,388,391,392,
393,394,395,396,398,399,401,405,406,407,408,409,410,411,412,417,418,419,424,
425,426,427,428,438,439,440,445,446,449,460,461,462,467,468,471,484,485,486,
491,492,501,502,507,517,670,671,677,679,680,681,682,683,684,685,686,699,700,
701,702,703,704,705,708,716,717,719,721,723,724,727,731,732,734,736,738,740,
741,742,743,746,754,781,782,783,784,785,786,787,825,826,827,828,829,830,831,
832,833,843,846,851,856,913,914,915,918,920,927,928,931,932,937,940,952,954,
975,981,999,1030,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,
1243,1244,1245,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,
1263,1264,1269,1295,1297,1298,1299,1302,1314,1315,1316,1317,1318,1319,1320,
1323,1329,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1348,1380,
1381,1382,1383,1384,1385,1390,1391,1394,1449,1450,1451,1452,1453,1454,1459,
1460,1461,1466,1467,1549,1550,1553,1734,1735,1736,1739,1741,1743,1744,1745,
1746,1747,1748,1749,1750,1751,1752,1753,1756,1772,1775,1776,1777,1778,1779,
1780,1781,1786,1787,1792,1796,1850,1868,1869,1870,1873,1874,1877,1878,1883,
1885,1887,1889,1890,1893,1899,1900,1914,1922,1988,1993,2093,2094,2095,2096,
2097,2098,2099,2100,2101,2102,2168,2170,2171,2175,2176,2180,2181,2182,2185,
2200,2201,2294,2303,2446,2447,2448,2449,2450,2455,2456,2457,2460,2461,2481,
2570,2641,2649,2731,2732,2733,2734,2735,2820,2821,2822,2823,2824,2862],[1,2,3,
4,5,6,9,13,14,15,16,17,18,21,22,23,24,25,26,27,28,29,36,37,41,42,43,44,47,48,
49,60,61,63,64,65,66,77,81,82,83,84,91,92,93,94,95,96,97,102,103,104,105,106,
114,115,116,119,123,124,125,129,130,131,136,137,143,144,149,154,155,156,157,
158,159,160,161,170,197,198,199,204,255,260,261,262,265,266,267,278,281,284,
285,286,287,303,320,327,328,329,333,336,339,340,341,342,367,368,369,372,373,
378,379,383,384,385,386,405,409,413,414,415,416,438,441,442,443,444,460,463,
464,465,466,480,481,482,483,497,498,499,500,513,514,515,516,671,679,680,681,
682,702,703,706,707,711,716,723,725,726,731,744,745,752,753,781,782,783,784,
825,826,827,828,843,844,845,849,850,854,855,913,916,917,925,926,935,936,973,
974,979,980,997,998,1028,1029,1229,1230,1231,1247,1248,1249,1250,1255,1256,
1259,1260,1261,1262,1299,1300,1301,1314,1315,1316,1330,1334,1335,1336,1380,
1383,1386,1387,1388,1389,1449,1452,1455,1456,1457,1458,1486,1549,1550,1552,
1749,1750,1751,1754,1755,1778,1780,1782,1783,1784,1785,1794,1795,1852,1868,
1871,1872,1889,1891,1892,1912,1913,1920,1921,1986,1987,1991,1992,2094,2096,
2098,2099,2182,2183,2184,2204,2205,2208,2209,2293,2309,2449,2451,2453,2455,
2458,2459,2487,2570,2644,2648,2731,2734,2821,2825,2826,2863],[1,2,3,4,5,6,8,9,
13,14,15,16,17,18,21,22,23,24,25,26,27,28,29,34,35,36,37,42,43,44,46,49,52,53,
54,60,61,63,64,65,66,69,77,81,82,83,84,88,89,91,92,93,94,95,96,97,102,103,104,
105,106,115,116,118,121,123,124,125,128,129,130,131,136,137,141,142,143,144,
147,148,149,157,158,159,161,166,167,168,169,170,174,177,178,180,201,202,203,
206,255,260,261,262,265,266,267,278,281,283,285,286,290,291,293,303,320,327,
328,329,333,335,336,346,347,348,349,352,367,368,369,372,373,378,379,385,386,
389,390,405,409,420,421,422,423,438,440,443,444,447,448,450,460,465,466,469,
470,487,488,489,490,493,503,504,505,506,508,518,519,520,521,671,679,680,681,
682,685,686,702,703,705,709,710,716,723,728,729,731,745,747,755,756,781,782,
783,784,787,825,826,827,828,832,833,843,847,848,852,853,857,858,913,917,919,
929,930,938,939,976,977,982,983,1000,1001,1031,1032,1229,1230,1231,1247,1248,
1249,1250,1253,1254,1255,1256,1265,1266,1267,1268,1270,1271,1272,1299,1303,
1304,1314,1315,1316,1331,1334,1335,1336,1380,1383,1385,1388,1389,1392,1393,
1395,1449,1451,1452,1462,1463,1464,1465,1468,1487,1549,1550,1554,1749,1750,
1751,1757,1758,1759,1778,1779,1780,1788,1789,1790,1791,1793,1797,1798,1799,
1853,1868,1875,1876,1889,1894,1895,1913,1915,1923,1924,1989,1990,1994,1995,
2094,2096,2097,2098,2099,2102,2182,2186,2187,2206,2207,2210,2211,2295,2310,
2449,2452,2454,2455,2462,2463,2488,2570,2645,2650,2731,2734,2735,2821,2827,
2828,2864],[1,2,3,4,5,6,9,13,15,16,18,21,23,24,25,26,27,28,29,31,33,36,37,39,
41,42,43,44,47,49,54,60,61,62,64,65,66,68,81,83,84,85,102,104,105,107,109,111,
113,114,116,123,124,125,127,136,137,139,143,144,145,149,151,153,154,155,157,
158,159,161,163,165,167,169,170,172,197,198,199,201,206,209,255,259,260,261,
262,263,266,268,270,271,274,275,281,284,285,286,289,291,303,320,333,339,340,
343,346,349,405,406,408,413,415,417,419,421,423,424,426,438,441,443,444,446,
448,480,481,485,489,490,497,498,501,505,506,513,514,518,519,529,531,533,535,
541,543,545,548,670,679,681,682,683,699,700,701,703,706,707,708,709,710,725,
727,729,731,732,733,736,737,752,756,761,763,782,783,784,786,825,827,828,830,
849,852,859,862,973,975,977,984,986,990,992,997,1001,1006,1010,1059,1062,1085,
1087,1223,1225,1226,1247,1249,1250,1252,1259,1260,1263,1266,1268,1272,1294,
1295,1296,1300,1303,1305,1306,1332,1335,1337,1339,1340,1341,1343,1346,1383,
1386,1388,1389,1391,1393,1449,1455,1456,1460,1464,1465,1549,1550,1604,1737,
1739,1740,1745,1747,1778,1782,1785,1787,1789,1791,1800,1802,1849,1891,1893,
1895,1897,1899,1901,1920,1924,1929,1933,1986,1990,1997,2000,2093,2096,2099,
2100,2172,2176,2178,2204,2207,2213,2219,2311,2313,2447,2451,2454,2458,2460,
2462,2484,2570,2642,2651,2732,2734,2823,2825,2828,2865],[1,2,3,4,5,6,8,9,13,
15,16,18,21,23,24,25,26,27,28,29,31,33,34,35,36,37,39,42,43,44,46,48,49,52,53,
60,61,62,64,65,66,68,69,81,83,84,85,88,89,102,104,105,107,109,111,113,115,118,
123,124,125,127,128,136,137,139,141,142,143,144,145,147,148,149,151,153,156,
157,158,159,160,161,163,165,166,168,170,172,174,177,178,180,198,201,202,203,
204,210,255,259,260,261,262,263,266,268,270,271,274,275,281,283,285,286,287,
289,290,293,303,320,333,335,341,342,343,347,348,352,405,406,408,414,416,417,
419,420,422,424,426,438,440,442,443,444,446,447,450,482,483,485,487,488,493,
499,500,501,503,504,508,515,516,520,521,537,539,541,543,545,548,550,552,670,
679,681,682,683,685,686,699,700,701,703,705,708,711,726,727,728,731,732,735,
736,739,753,755,763,766,782,783,784,786,787,825,827,828,830,832,833,850,853,
865,868,974,975,976,987,989,993,995,998,1000,1008,1010,1065,1068,1089,1091,
1223,1225,1226,1247,1249,1250,1252,1253,1254,1261,1262,1263,1265,1267,1270,
1271,1295,1301,1304,1333,1335,1337,1339,1340,1341,1343,1350,1383,1385,1387,
1388,1389,1391,1392,1395,1449,1451,1457,1458,1460,1462,1463,1468,1549,1550,
1605,1738,1739,1742,1745,1747,1778,1779,1783,1784,1787,1788,1790,1793,1804,
1805,1851,1892,1893,1894,1898,1899,1902,1921,1923,1931,1933,1987,1989,2003,
2006,2093,2096,2097,2099,2100,2102,2174,2176,2177,2205,2206,2215,2217,2312,
2315,2447,2452,2453,2459,2460,2463,2486,2570,2643,2653,2732,2734,2735,2823,
2826,2827,2866],[1,3,5,6,7,8,9,13,21,23,24,26,27,28,29,30,32,34,35,41,42,45,
46,47,49,50,51,52,53,60,64,65,66,67,69,81,83,84,86,87,88,89,123,124,125,126,
128,136,137,138,140,141,142,143,144,146,147,148,154,155,157,159,162,164,166,
168,170,171,173,174,175,176,177,178,179,180,193,213,214,215,222,224,255,260,
261,262,281,282,283,284,285,288,290,292,293,303,320,333,334,335,339,340,344,
345,347,348,350,351,352,438,439,440,441,443,445,447,449,450,480,481,484,486,
487,488,491,492,493,497,498,502,503,504,507,508,528,530,532,534,540,542,547,
568,569,677,679,681,682,684,685,686,703,704,705,706,707,752,754,755,760,762,
782,783,784,785,787,825,827,828,829,831,832,833,849,851,853,860,861,863,864,
997,999,1000,1005,1009,1058,1060,1061,1063,1086,1088,1243,1244,1245,1247,1249,
1250,1251,1253,1254,1259,1260,1264,1265,1267,1269,1270,1271,1300,1302,1304,
1358,1383,1384,1385,1386,1388,1390,1392,1394,1395,1449,1450,1451,1455,1456,
1459,1461,1462,1463,1466,1467,1468,1490,1549,1550,1608,1769,1772,1773,1775,
1777,1778,1779,1782,1785,1786,1788,1790,1792,1793,1801,1803,1854,1920,1922,
1923,1928,1932,1986,1988,1989,1996,1998,1999,2001,2095,2096,2097,2099,2101,
2102,2197,2200,2203,2204,2206,2212,2218,2323,2378,2450,2451,2452,2458,2461,
2463,2497,2570,2646,2652,2733,2734,2735,2824,2825,2827,2867],[1,3,5,6,7,8,9,
13,21,23,24,26,27,28,29,30,32,34,35,43,44,45,48,50,51,54,60,64,65,66,67,69,81,
83,84,86,87,88,89,123,124,125,126,128,136,137,138,140,141,142,143,144,146,147,
148,156,158,160,161,162,164,167,169,171,173,175,176,179,196,216,217,223,255,
260,261,262,281,282,283,286,287,288,291,292,303,320,333,334,335,341,342,344,
345,346,349,350,351,438,439,440,442,444,445,448,449,482,483,484,486,489,490,
491,492,499,500,502,505,506,507,536,538,544,546,549,551,677,679,681,682,684,
685,686,703,704,705,709,710,711,753,754,756,764,765,782,783,784,785,787,825,
827,828,829,831,832,833,850,851,852,866,867,869,870,998,999,1001,1007,1011,
1064,1066,1067,1069,1090,1092,1243,1244,1245,1247,1249,1250,1251,1253,1254,
1261,1262,1264,1266,1268,1269,1272,1301,1302,1303,1359,1383,1384,1385,1387,
1389,1390,1393,1394,1449,1450,1451,1457,1458,1459,1461,1464,1465,1466,1467,
1491,1549,1550,1609,1771,1772,1774,1775,1777,1778,1779,1783,1784,1786,1789,
1791,1792,1806,1807,1855,1921,1922,1924,1930,1934,1987,1988,1990,2002,2004,
2005,2007,2095,2096,2097,2099,2101,2102,2199,2200,2202,2205,2207,2214,2216,
2324,2379,2450,2453,2454,2459,2461,2462,2499,2570,2647,2654,2733,2734,2735,
2824,2826,2828,2868],[1,2,3,4,7,9,10,11,12,13,14,15,19,21,22,23,24,25,30,31,
32,33,38,55,57,61,63,64,67,68,70,71,72,73,74,75,76,80,81,86,87,91,92,93,98,99,
102,103,107,108,109,123,126,127,129,132,133,138,139,140,145,146,150,181,182,
184,186,188,207,236,237,238,248,249,254,255,256,257,258,264,265,268,279,282,
294,295,298,299,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,
318,321,322,323,324,325,326,334,359,360,367,370,374,375,380,396,397,398,402,
406,410,439,451,452,453,454,461,472,473,474,494,495,509,510,522,591,592,597,
598,614,616,671,672,673,674,675,676,679,684,687,691,694,695,698,715,719,720,
731,748,751,757,758,781,782,785,786,788,789,790,791,792,793,794,795,797,799,
800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,
819,820,821,837,838,839,840,841,842,885,887,888,891,898,914,921,922,933,941,
942,1002,1003,1026,1033,1054,1076,1077,1078,1079,1101,1112,1229,1234,1235,
1236,1237,1238,1239,1240,1241,1242,1251,1252,1275,1276,1278,1279,1280,1281,
1288,1290,1312,1329,1334,1337,1381,1384,1396,1397,1398,1399,1405,1406,1407,
1408,1409,1410,1411,1412,1413,1414,1415,1416,1424,1425,1428,1429,1430,1431,
1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,
1447,1484,1485,1510,1521,1524,1527,1555,1572,1573,1614,1615,1643,1644,1752,
1760,1761,1762,1763,1764,1765,1766,1767,1815,1816,1818,1820,1821,1822,1823,
1824,1825,1826,1835,1836,1837,1867,1885,1886,1916,1917,1925,1926,1949,1950,
1951,1952,1953,1954,1955,1956,1968,1970,1971,1974,1976,1977,1978,1979,1980,
1981,1982,1983,1984,1985,2060,2067,2068,2070,2107,2191,2193,2235,2236,2237,
2238,2239,2240,2241,2242,2243,2246,2247,2249,2250,2261,2291,2345,2346,2347,
2368,2374,2375,2376,2377,2419,2420,2425,2426,2510,2511,2512,2513,2514,2515,
2516,2517,2525,2527,2529,2531,2532,2533,2534,2590,2625,2638,2665,2667,2684,
2685,2691,2763,2764,2765,2776,2833,2834,2835,2869],[1,2,3,4,5,6,7,8,9,10,11,
12,13,14,15,16,17,18,19,20,21,22,25,26,27,30,31,32,33,34,35,36,37,38,39,40,41,
42,43,44,45,46,47,48,50,51,52,53,54,55,56,59,61,63,65,67,68,69,70,71,72,73,74,
75,76,83,91,94,95,98,99,100,101,102,104,105,108,110,112,114,115,116,117,118,
119,120,121,122,124,126,127,128,130,132,133,134,135,149,150,152,154,155,156,
158,160,161,162,163,164,165,166,167,168,169,171,172,173,174,181,182,183,188,
189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,205,209,210,211,
212,213,214,215,216,217,218,219,222,223,225,226,227,228,235,254,255,256,257,
258,264,266,269,278,279,280,284,286,287,288,289,290,291,294,295,296,299,300,
301,302,303,304,305,306,307,308,309,310,312,314,315,316,317,318,321,322,323,
324,325,339,353,354,355,356,357,359,360,361,368,370,371,383,384,387,388,389,
390,391,392,396,397,399,400,404,405,407,413,415,418,420,422,425,429,430,431,
432,433,434,435,436,441,442,444,445,446,447,448,451,452,454,455,457,458,459,
463,464,467,468,469,470,472,475,476,479,513,514,517,520,521,524,526,527,528,
529,530,531,532,533,534,535,536,537,538,539,544,546,549,550,551,552,553,554,
555,556,561,562,563,564,565,566,567,570,572,574,575,576,604,605,606,611,612,
613,622,624,641,671,672,674,675,676,681,687,715,717,718,725,728,730,731,744,
746,747,748,749,760,761,764,765,766,767,768,770,771,773,774,775,781,783,785,
786,787,788,790,791,792,793,794,795,796,799,802,803,806,807,812,816,817,818,
821,834,835,836,871,872,873,874,875,879,880,881,898,916,918,919,921,923,945,
946,947,948,952,953,955,956,960,961,962,973,976,978,985,991,996,1005,1006,
1007,1008,1011,1012,1013,1015,1016,1017,1019,1020,1036,1037,1038,1039,1043,
1046,1047,1050,1103,1104,1108,1109,1116,1117,1120,1121,1122,1124,1125,1126,
1129,1137,1138,1141,1230,1235,1238,1239,1240,1242,1259,1261,1273,1274,1275,
1276,1277,1278,1279,1280,1281,1290,1292,1293,1311,1321,1322,1329,1335,1338,
1352,1354,1356,1364,1365,1367,1372,1375,1376,1377,1380,1381,1382,1386,1387,
1389,1390,1391,1392,1393,1396,1397,1399,1400,1402,1403,1404,1406,1409,1410,
1411,1413,1414,1415,1416,1417,1418,1419,1420,1421,1424,1425,1426,1427,1431,
1436,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1494,1495,
1496,1499,1500,1508,1521,1557,1559,1561,1583,1584,1587,1588,1617,1618,1620,
1621,1622,1631,1648,1651,1754,1760,1762,1766,1808,1809,1810,1811,1812,1814,
1816,1818,1819,1820,1822,1823,1824,1825,1864,1867,1883,1884,1891,1894,1896,
1904,1912,1914,1915,1916,1918,1928,1929,1930,1931,1934,1935,1936,1938,1939,
1940,1942,1943,1950,1956,1958,1959,1960,1961,1962,1963,1964,1966,1967,1975,
2025,2026,2027,2028,2029,2030,2031,2032,2035,2070,2071,2109,2190,2222,2223,
2224,2225,2227,2228,2229,2230,2232,2234,2236,2239,2240,2241,2243,2244,2245,
2246,2247,2248,2249,2250,2251,2252,2271,2290,2301,2302,2317,2319,2321,2329,
2330,2332,2333,2334,2341,2344,2351,2352,2353,2354,2356,2357,2358,2359,2360,
2361,2400,2402,2420,2426,2429,2491,2501,2503,2506,2507,2510,2512,2516,2519,
2520,2521,2522,2523,2524,2529,2530,2571,2582,2594,2598,2637,2638,2664,2671,
2672,2673,2674,2676,2677,2678,2679,2692,2693,2760,2762,2763,2773,2783,2785,
2789,2836,2870],[1,3,5,6,7,8,9,10,11,12,13,21,23,24,26,27,28,29,30,32,34,35,
41,42,45,46,47,49,50,51,52,53,55,56,57,58,59,64,65,66,67,69,70,71,74,81,83,84,
123,124,125,126,128,136,137,138,140,141,142,143,144,146,147,148,154,155,157,
159,162,164,166,168,170,171,173,174,175,176,177,178,179,180,181,183,184,185,
186,187,191,193,194,213,214,215,218,219,220,221,222,224,225,226,228,229,230,
231,232,233,234,235,254,255,256,257,258,281,282,283,284,285,288,290,292,293,
294,296,297,298,301,303,304,305,306,307,308,311,313,315,317,325,326,333,339,
340,353,354,355,356,357,359,360,361,438,439,440,441,443,445,447,449,450,451,
453,455,456,458,480,481,484,486,487,488,491,492,493,494,496,497,498,502,503,
504,507,508,510,511,512,528,530,532,534,540,542,547,553,555,557,558,559,560,
564,568,569,570,571,572,573,575,577,579,580,581,582,584,587,588,622,623,624,
625,626,627,641,643,644,645,673,675,679,681,682,691,752,754,755,757,759,760,
762,767,769,770,772,776,778,779,782,783,784,785,787,789,791,794,796,797,798,
808,811,815,817,819,820,834,835,836,849,873,879,885,886,898,997,999,1000,1002,
1004,1005,1009,1012,1014,1016,1018,1021,1023,1024,1058,1060,1061,1063,1070,
1072,1074,1075,1086,1088,1094,1095,1096,1099,1100,1116,1118,1119,1121,1123,
1130,1132,1133,1136,1152,1153,1236,1239,1241,1249,1259,1260,1273,1274,1275,
1276,1277,1278,1279,1280,1281,1290,1292,1293,1358,1360,1362,1364,1366,1368,
1370,1383,1384,1385,1386,1388,1390,1392,1394,1395,1396,1398,1400,1401,1403,
1407,1410,1412,1415,1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,
1439,1442,1469,1471,1476,1478,1496,1497,1499,1500,1501,1502,1508,1524,1608,
1610,1612,1617,1619,1625,1627,1666,1668,1688,1690,1764,1768,1782,1810,1814,
1815,1817,1821,1823,1826,1835,1839,1908,1920,1922,1923,1925,1927,1928,1932,
1935,1937,1939,1941,1944,1946,1947,1952,1957,1960,1963,1965,1967,1968,1969,
2010,2013,2024,2031,2033,2034,2042,2070,2071,2129,2195,2224,2226,2228,2229,
2231,2233,2237,2240,2242,2244,2245,2246,2247,2248,2249,2250,2251,2252,2271,
2323,2325,2327,2329,2331,2337,2339,2349,2353,2355,2358,2360,2361,2362,2363,
2386,2398,2425,2428,2495,2505,2514,2518,2521,2524,2525,2526,2531,2535,2546,
2586,2592,2599,2637,2638,2669,2673,2675,2677,2678,2680,2681,2692,2693,2761,
2764,2781,2787,2796,2836,2871],[1,3,5,6,7,8,9,10,11,12,13,21,26,27,30,32,34,
35,41,42,45,46,47,50,51,52,53,55,56,57,58,59,65,67,69,70,71,74,80,83,86,87,88,
89,124,126,128,154,155,162,164,166,168,171,173,174,181,183,186,187,191,193,
194,213,214,215,218,219,220,221,222,225,226,228,231,232,233,234,235,236,237,
238,239,240,241,242,243,244,245,246,247,254,255,256,257,258,284,288,290,294,
296,301,303,304,305,306,307,308,315,317,325,326,339,344,345,347,348,353,354,
355,356,357,359,360,361,441,445,447,451,455,458,528,530,532,534,553,555,559,
560,564,570,572,575,591,592,593,594,595,596,622,623,624,626,627,629,630,631,
632,633,634,635,636,641,646,647,648,649,650,651,652,653,654,655,656,657,675,
681,684,686,694,695,698,760,767,770,783,785,787,791,794,796,817,820,834,835,
836,838,839,840,860,861,873,878,879,887,888,889,890,891,892,898,1005,1012,
1016,1026,1027,1116,1119,1121,1142,1143,1144,1145,1146,1155,1156,1157,1158,
1191,1192,1193,1196,1197,1198,1199,1208,1209,1239,1259,1264,1267,1273,1274,
1275,1276,1277,1278,1279,1280,1281,1290,1292,1293,1364,1386,1390,1392,1396,
1400,1403,1410,1415,1417,1418,1419,1420,1421,1424,1425,1426,1427,1444,1445,
1476,1478,1496,1497,1499,1500,1503,1504,1505,1506,1508,1527,1617,1632,1633,
1705,1706,1709,1710,1801,1810,1814,1823,1836,1837,1844,1845,1848,1928,1935,
1939,1955,1960,1963,1967,1970,1971,1972,1973,1974,2031,2034,2037,2038,2039,
2043,2044,2045,2055,2070,2071,2137,2224,2228,2229,2240,2244,2245,2246,2247,
2248,2249,2250,2251,2252,2271,2329,2353,2358,2360,2361,2364,2365,2366,2367,
2405,2406,2433,2521,2524,2527,2528,2532,2533,2534,2547,2548,2597,2600,2601,
2602,2637,2638,2673,2677,2678,2682,2683,2692,2693,2765,2788,2797,2798,2799,
2836,2872],[1,4,5,7,8,10,12,13,36,38,40,41,44,45,46,55,56,57,58,59,73,74,77,
79,83,85,87,89,90,197,200,202,207,208,213,217,218,219,220,221,238,241,242,244,
245,248,251,257,324,325,326,328,330,331,339,341,343,345,346,348,353,355,359,
360,361,362,363,604,607,608,614,615,618,619,622,623,628,631,634,635,637,638,
690,693,694,712,713,714,837,840,841,844,846,847,859,861,865,867,872,873,877,
879,888,890,899,900,901,1179,1181,1182,1193,1194,1204,1206,1287,1290,1292,
1307,1308,1309,1484,1488,1495,1496,1497,1499,1500,1504,1506,1528,1551,1726,
1837,1840,1843,1845,1856,1857,1858,1859,1860,2036,2039,2040,2044,2103,2267,
2271,2274,2275,2279,2409,2464,2548,2551,2552,2656,2657,2710,2711,2712,2768,
2803,2838,2873],[1,3,7,10,12,13,21,23,24,30,32,55,57,70,74,80,81,86,87,90,123,
126,138,140,146,181,184,186,236,237,238,249,257,304,306,308,311,313,315,317,
319,320,325,326,334,359,360,439,451,453,494,510,591,592,597,691,694,695,712,
713,714,789,791,797,808,811,815,817,819,820,823,825,829,831,838,839,840,842,
885,887,888,891,893,894,895,1002,1026,1076,1078,1101,1280,1282,1288,1290,1407,
1410,1412,1424,1425,1439,1442,1444,1445,1446,1450,1510,1529,1551,1614,1826,
1828,1830,1833,1835,1836,1837,1838,1952,1955,1968,1970,1971,1974,1980,1982,
1984,2017,2018,2249,2256,2261,2273,2276,2277,2278,2279,2280,2346,2368,2391,
2531,2532,2533,2537,2655,2657,2658,2691,2695,2804,2874],[1,3,5,6,9,10,11,12,
13,21,23,24,26,27,28,29,41,42,47,49,60,64,65,66,67,69,70,71,81,83,84,123,124,
125,136,137,143,144,154,155,157,159,170,254,255,256,257,258,260,261,262,281,
282,283,284,285,288,290,292,293,294,296,297,298,301,303,304,305,306,307,308,
311,313,333,339,340,353,354,355,356,357,364,365,366,438,441,443,480,481,497,
498,673,675,677,678,679,681,682,685,691,703,704,705,706,707,752,754,755,757,
759,760,762,767,769,770,772,776,778,779,782,783,784,789,796,797,798,834,835,
849,898,903,904,906,908,911,997,1236,1239,1241,1243,1244,1245,1249,1253,1259,
1260,1265,1270,1273,1274,1275,1276,1277,1278,1279,1280,1281,1292,1293,1300,
1302,1304,1310,1358,1360,1362,1364,1366,1368,1370,1383,1386,1388,1417,1418,
1419,1420,1421,1422,1423,1469,1471,1522,1524,1533,1535,1537,1539,1540,1545,
1547,1548,1549,1764,1768,1769,1770,1772,1773,1782,1788,1810,1814,1815,1817,
1821,1826,1839,1854,1862,1908,1920,1957,1965,2062,2070,2071,2078,2082,2083,
2087,2088,2095,2096,2097,2195,2197,2224,2226,2228,2229,2231,2233,2244,2245,
2251,2252,2282,2284,2285,2286,2287,2425,2427,2428,2438,2444,2450,2451,2452,
2495,2505,2518,2535,2556,2560,2561,2562,2565,2627,2637,2646,2660,2715,2721,
2722,2723,2727,2728,2761,2771,2811,2813,2841,2875],[1,2,3,4,5,6,9,10,11,12,13,
15,16,18,21,25,26,27,36,37,41,42,43,44,47,60,61,63,64,65,66,67,68,69,70,71,72,
73,75,76,79,83,85,102,104,105,114,116,124,149,154,155,158,161,197,198,199,254,
255,256,257,258,259,260,261,262,263,266,268,270,278,279,280,281,284,285,286,
287,288,289,290,291,294,295,296,300,301,303,304,305,306,307,308,312,314,321,
322,339,343,346,353,354,355,356,357,364,365,366,405,413,415,441,444,513,514,
671,672,673,674,675,676,677,678,681,683,685,687,688,693,697,699,700,701,703,
706,707,708,709,710,725,727,729,731,744,746,747,748,749,752,756,760,761,763,
765,766,767,768,770,771,775,783,790,796,799,834,835,859,871,872,874,875,877,
898,902,903,904,905,906,907,908,909,910,911,912,973,1230,1232,1233,1235,1237,
1239,1240,1243,1246,1259,1261,1263,1265,1266,1273,1274,1275,1276,1277,1278,
1279,1280,1281,1292,1293,1294,1295,1296,1300,1303,1305,1306,1310,1332,1335,
1352,1354,1356,1364,1365,1376,1377,1386,1389,1417,1418,1419,1420,1421,1474,
1475,1480,1481,1521,1522,1526,1530,1531,1532,1533,1534,1535,1536,1537,1538,
1543,1546,1547,1548,1549,1754,1756,1758,1760,1762,1768,1769,1770,1774,1800,
1804,1808,1809,1810,1811,1812,1813,1814,1822,1825,1843,1847,1849,1861,1862,
1863,1891,1904,1959,1966,2061,2070,2071,2073,2074,2075,2078,2079,2080,2081,
2087,2088,2089,2090,2091,2092,2093,2096,2188,2190,2196,2198,2222,2224,2225,
2228,2229,2230,2244,2245,2251,2252,2281,2284,2285,2286,2287,2420,2427,2429,
2432,2435,2443,2445,2447,2451,2454,2491,2501,2520,2523,2555,2556,2557,2558,
2561,2563,2566,2628,2637,2642,2660,2714,2718,2722,2725,2727,2728,2760,2769,
2807,2814,2816,2841,2876],[1,2,3,5,6,9,10,11,12,13,14,16,17,21,22,26,27,41,42,
43,47,48,60,61,62,63,64,65,66,67,69,70,71,72,75,83,91,94,95,114,115,119,124,
130,154,155,156,160,254,255,256,257,258,260,261,262,264,265,266,267,269,271,
278,281,284,285,286,287,288,290,294,296,299,301,302,303,304,305,306,307,308,
309,310,339,349,353,354,355,356,357,364,365,366,368,383,384,441,442,463,464,
670,671,672,673,674,675,677,678,681,685,687,689,702,703,706,707,711,715,717,
718,723,725,726,728,730,733,744,745,752,753,760,764,767,770,773,774,781,783,
788,793,796,834,835,871,874,880,898,903,904,906,908,911,916,1222,1223,1224,
1230,1234,1238,1239,1242,1243,1259,1261,1265,1268,1273,1274,1275,1276,1277,
1278,1279,1280,1281,1292,1293,1299,1300,1301,1310,1311,1321,1322,1330,1364,
1367,1372,1375,1380,1386,1387,1417,1418,1419,1420,1421,1472,1473,1521,1522,
1523,1533,1535,1537,1541,1542,1544,1547,1548,1549,1734,1737,1738,1754,1757,
1766,1768,1769,1770,1771,1808,1809,1810,1812,1814,1816,1818,1819,1820,1842,
1852,1862,1864,1912,1958,1962,2059,2070,2071,2078,2084,2085,2087,2088,2094,
2096,2167,2194,2223,2224,2227,2228,2229,2232,2234,2244,2245,2251,2252,2283,
2284,2285,2286,2287,2426,2427,2429,2431,2439,2442,2449,2451,2453,2503,2506,
2507,2519,2556,2559,2561,2564,2626,2637,2644,2660,2716,2720,2722,2724,2727,
2728,2762,2770,2809,2815,2841,2877],[1,2,3,4,7,9,10,11,12,13,14,15,19,21,22,
23,24,25,30,31,32,33,38,60,61,62,63,64,67,68,70,71,72,73,74,75,76,77,78,79,80,
81,82,85,86,87,91,92,93,98,99,102,103,107,108,109,123,126,127,129,132,133,138,
139,140,145,146,150,254,255,256,257,258,259,260,263,264,265,268,272,274,276,
279,282,303,304,305,309,310,311,312,313,314,315,316,317,318,319,320,321,323,
324,327,330,332,334,337,365,367,370,374,375,380,396,398,406,410,439,461,670,
671,672,673,674,675,676,677,678,679,680,683,684,687,688,689,690,691,692,693,
694,695,696,697,698,700,702,704,716,719,731,732,740,781,782,785,786,788,789,
790,791,792,793,794,795,800,801,802,803,804,805,806,807,808,809,810,811,812,
813,814,815,816,822,823,824,825,826,829,830,831,898,907,908,909,914,1222,1225,
1227,1229,1232,1234,1235,1236,1237,1238,1244,1246,1247,1248,1251,1252,1257,
1278,1282,1283,1284,1285,1286,1287,1288,1289,1291,1297,1314,1317,1318,1329,
1334,1337,1341,1342,1381,1384,1405,1406,1407,1408,1409,1414,1428,1429,1430,
1432,1434,1435,1448,1450,1453,1521,1522,1523,1524,1525,1526,1527,1543,1544,
1545,1549,1550,1735,1744,1745,1749,1752,1761,1775,1776,1820,1821,1822,1823,
1824,1827,1828,1829,1830,1831,1832,1833,1834,1869,1885,1949,2059,2060,2061,
2062,2063,2064,2065,2066,2067,2068,2069,2086,2093,2094,2095,2098,2100,2101,
2170,2235,2236,2237,2238,2239,2253,2254,2255,2256,2257,2258,2259,2286,2288,
2417,2418,2419,2421,2422,2423,2424,2446,2456,2511,2536,2563,2564,2565,2567,
2568,2569,2570,2624,2726,2729,2731,2732,2733,2772,2820,2842,2843,2844,2878],[
1,3,5,6,9,10,11,12,13,21,23,24,26,27,28,29,41,42,47,49,60,64,65,66,70,81,83,
84,123,124,125,136,137,143,144,154,155,157,159,170,254,255,256,257,258,260,
261,262,281,284,285,303,304,305,311,313,319,320,333,339,340,353,354,355,356,
358,365,438,441,443,480,481,497,498,673,679,681,682,691,703,706,707,752,782,
783,784,789,825,827,828,834,849,898,908,997,1247,1249,1250,1259,1260,1273,
1274,1278,1282,1292,1293,1300,1383,1386,1388,1417,1418,1449,1455,1456,1469,
1470,1471,1524,1547,1549,1550,1768,1778,1782,1785,1821,1828,1839,1920,1957,
1986,2065,2071,2087,2096,2099,2204,2244,2260,2286,2288,2428,2451,2458,2518,
2538,2570,2629,2727,2730,2734,2772,2825,2879],[1,2,3,4,5,6,7,8,9,13,14,15,16,
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,
43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,63,64,65,66,67,68,69,81,
83,84,86,87,88,89,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,
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,
241,242,243,244,245,246,247,248,249,250,251,252,253,255,264,265,266,267,268,
269,270,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,
295,296,297,298,299,300,301,302,303,306,333,334,335,339,340,344,345,347,348,
350,351,352,359,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,
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,
667,668,669,671,679,681,682,684,686,715,717,718,719,720,721,722,723,724,725,
726,727,728,729,730,731,744,745,746,747,748,749,750,751,752,753,754,755,756,
757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,
776,777,778,779,780,781,782,783,784,785,786,787,796,797,798,849,851,853,860,
861,863,864,879,885,886,887,888,889,890,913,914,915,916,917,918,919,920,921,
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,
1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1229,1230,
1231,1249,1251,1252,1254,1259,1260,1261,1264,1267,1269,1271,1272,1275,1311,
1312,1313,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,
1334,1335,1336,1337,1338,1339,1352,1353,1354,1355,1356,1357,1358,1359,1360,
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,
1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1419,
1422,1423,1424,1490,1499,1501,1502,1503,1504,1505,1506,1510,1511,1512,1513,
1514,1515,1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,
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,
1730,1731,1732,1733,1750,1752,1753,1754,1755,1759,1760,1782,1783,1786,1787,
1790,1791,1801,1803,1814,1815,1816,1817,1864,1865,1866,1867,1879,1880,1881,
1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,1892,1893,1894,1895,1896,
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,
1965,1967,1968,1969,1970,1971,1972,1973,2042,2043,2044,2049,2050,2051,2052,
2104,2105,2106,2107,2108,2109,2110,2111,2112,2113,2114,2115,2116,2117,2118,
2119,2120,2121,2122,2123,2124,2125,2126,2127,2128,2129,2130,2131,2132,2133,
2134,2135,2136,2137,2138,2139,2140,2141,2142,2143,2144,2145,2146,2147,2148,
2149,2150,2151,2152,2153,2154,2155,2156,2157,2158,2159,2160,2161,2162,2163,
2164,2165,2166,2183,2185,2187,2190,2191,2192,2212,2213,2214,2215,2228,2230,
2231,2232,2233,2234,2246,2289,2290,2291,2292,2301,2302,2303,2304,2305,2306,
2307,2308,2309,2310,2311,2312,2317,2318,2319,2320,2321,2322,2323,2324,2325,
2326,2327,2328,2329,2330,2331,2332,2333,2334,2335,2336,2337,2338,2339,2340,
2341,2342,2343,2344,2360,2362,2363,2364,2365,2366,2367,2368,2369,2370,2371,
2372,2373,2411,2465,2466,2467,2468,2469,2470,2471,2472,2473,2474,2475,2476,
2477,2478,2479,2489,2491,2492,2493,2505,2506,2508,2509,2510,2524,2525,2526,
2527,2528,2571,2572,2573,2578,2579,2580,2581,2582,2583,2584,2585,2586,2587,
2588,2589,2599,2600,2601,2603,2604,2605,2606,2659,2662,2664,2665,2666,2677,
2679,2680,2681,2682,2683,2684,2685,2686,2687,2688,2689,2690,2736,2743,2773,
2774,2775,2776,2777,2778,2779,2787,2788,2790,2791,2792,2793,2794,2795,2845,
2846,2847,2849,2850,2851,2852,2880],[1,2,3,4,5,6,7,8,10,12,13,14,15,16,17,18,
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,
45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,62,70,72,73,74,77,78,79,80,81,82,
83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,
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,
240,241,242,243,244,245,246,247,248,249,250,251,252,253,257,271,272,273,274,
275,276,277,304,309,310,311,312,313,314,315,316,317,318,319,320,323,324,325,
326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,
345,346,347,348,349,350,351,352,353,355,358,359,360,361,367,368,369,370,371,
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,
657,658,659,660,661,662,663,664,665,666,667,668,669,689,690,691,692,693,694,
695,716,732,733,734,735,736,737,738,739,740,741,742,743,788,789,790,791,792,
800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,
819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,837,838,839,
840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,
859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,876,877,878,879,
882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,913,914,915,
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,
1219,1220,1221,1282,1283,1284,1285,1286,1287,1288,1289,1290,1292,1314,1315,
1316,1317,1318,1319,1320,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,
1350,1351,1405,1406,1407,1408,1409,1410,1411,1412,1413,1417,1428,1429,1430,
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,
1476,1477,1478,1479,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,
1495,1496,1497,1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1509,1510,
1511,1512,1513,1514,1515,1516,1517,1518,1519,1520,1552,1553,1554,1555,1556,
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,
1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1827,1828,1829,
1830,1831,1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,1843,1844,
1845,1868,1869,1870,1871,1872,1873,1874,1875,1876,1877,1878,1897,1898,1899,
1900,1901,1902,1903,1949,1950,1951,1952,1953,1954,1955,1957,1958,1959,1960,
1961,1976,1977,1978,1979,1980,1981,1982,1983,1984,1985,1986,1987,1988,1989,
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,
2020,2021,2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2032,2033,2034,
2035,2036,2037,2038,2039,2040,2041,2042,2043,2044,2045,2046,2047,2048,2049,
2050,2051,2052,2053,2054,2056,2057,2058,2104,2105,2106,2107,2108,2109,2110,
2111,2112,2113,2114,2115,2116,2117,2118,2119,2120,2121,2122,2123,2124,2125,
2126,2127,2128,2129,2130,2131,2132,2133,2134,2135,2136,2137,2138,2139,2140,
2141,2142,2143,2144,2145,2146,2147,2148,2149,2150,2151,2152,2153,2154,2155,
2156,2157,2158,2159,2160,2161,2162,2163,2164,2165,2166,2253,2254,2255,2256,
2257,2258,2259,2260,2261,2262,2263,2264,2265,2266,2267,2268,2269,2271,2293,
2294,2295,2296,2297,2298,2299,2300,2313,2314,2315,2316,2345,2346,2347,2348,
2349,2350,2351,2352,2353,2354,2355,2356,2374,2375,2376,2377,2378,2379,2380,
2381,2382,2383,2384,2385,2386,2387,2388,2389,2390,2391,2392,2393,2394,2395,
2396,2397,2398,2399,2400,2401,2402,2403,2404,2405,2406,2407,2408,2409,2410,
2411,2412,2413,2414,2415,2416,2465,2466,2467,2468,2469,2470,2471,2472,2473,
2474,2475,2476,2477,2478,2479,2536,2537,2538,2539,2540,2541,2542,2543,2544,
2545,2546,2547,2548,2549,2574,2575,2576,2577,2590,2591,2592,2593,2594,2595,
2596,2597,2607,2608,2609,2610,2611,2612,2613,2614,2615,2616,2617,2618,2619,
2620,2621,2622,2623,2659,2694,2695,2696,2697,2698,2699,2700,2701,2702,2703,
2704,2705,2737,2738,2739,2740,2741,2742,2744,2745,2746,2747,2748,2749,2750,
2751,2752,2800,2801,2802,2829,2830,2854,2855,2856,2881],[1,2,3,4,9,13,14,15,
21,22,23,24,25,60,61,63,64,67,68,77,81,82,90,91,92,93,102,103,123,129,255,259,
260,263,264,265,268,279,282,294,295,298,299,303,306,320,327,363,367,671,679,
680,700,702,704,714,715,716,719,720,731,748,751,757,758,781,782,797,825,826,
1229,1247,1248,1275,1297,1309,1312,1314,1334,1549,1550,1749,1760,1815,1816,
2093,2094,2095,2098,2191,2280,2446,2570,2731,2857,2882],[1,3,5,6,9,13,21,23,
24,26,27,28,29,60,64,65,66,67,69,81,83,84,90,123,124,125,136,137,143,144,255,
260,261,262,281,282,283,288,292,294,296,297,298,303,306,320,333,362,438,679,
681,682,703,704,705,714,754,757,759,767,769,776,778,782,783,784,796,797,798,
825,827,828,1247,1249,1250,1275,1302,1308,1360,1383,1422,1449,1549,1550,1778,
1814,1815,1817,2095,2096,2097,2099,2231,2280,2450,2553,2570,2734,2857,2883],[
1,3,5,6,7,8,13,21,23,24,26,27,28,29,30,32,34,35,41,42,45,46,47,49,50,51,52,53,
55,56,57,58,59,81,83,84,86,87,88,89,90,123,124,125,126,128,136,137,138,140,
141,142,143,144,146,147,148,154,155,157,159,162,164,166,168,170,171,173,174,
175,176,177,178,179,180,181,183,184,185,186,187,191,193,194,213,214,215,218,
219,220,221,222,224,225,226,228,229,230,231,232,233,234,235,236,237,238,239,
240,241,242,243,244,245,246,247,249,250,252,253,306,320,333,334,335,339,340,
344,345,347,348,350,351,352,359,362,438,439,440,441,443,445,447,449,450,451,
453,455,456,458,480,481,484,486,487,488,491,492,493,494,496,497,498,502,503,
504,507,508,510,511,512,528,530,532,534,540,542,547,553,555,557,558,559,560,
564,568,569,570,571,572,573,575,577,579,580,581,582,584,587,588,591,592,593,
594,595,596,597,599,600,601,602,622,623,624,625,626,627,629,630,631,632,633,
634,635,636,639,640,641,643,644,645,646,647,648,649,650,651,652,653,654,655,
656,657,658,659,661,662,663,664,666,667,668,669,714,796,797,798,825,827,828,
829,831,832,833,849,851,853,860,861,863,864,879,885,886,887,888,889,890,895,
899,997,999,1000,1002,1004,1005,1009,1012,1014,1016,1018,1021,1023,1024,1026,
1027,1058,1060,1061,1063,1070,1072,1074,1075,1076,1078,1080,1081,1083,1086,
1088,1094,1095,1096,1099,1100,1101,1102,1116,1118,1119,1121,1123,1130,1132,
1133,1136,1142,1143,1144,1145,1146,1147,1149,1151,1152,1153,1155,1156,1157,
1158,1159,1160,1161,1163,1164,1165,1169,1171,1173,1174,1175,1176,1177,1178,
1191,1192,1193,1195,1196,1197,1198,1199,1200,1201,1203,1208,1209,1214,1215,
1216,1217,1218,1221,1308,1419,1422,1423,1424,1449,1450,1451,1455,1456,1459,
1461,1462,1463,1466,1467,1468,1490,1499,1501,1502,1503,1504,1505,1506,1507,
1510,1511,1512,1513,1514,1515,1529,1608,1610,1612,1614,1616,1617,1619,1625,
1627,1632,1633,1634,1635,1637,1666,1668,1673,1675,1677,1679,1682,1684,1685,
1688,1690,1694,1695,1696,1697,1699,1705,1706,1707,1709,1710,1713,1714,1715,
1719,1720,1721,1722,1723,1724,1858,1965,1967,1968,1969,1970,1971,1972,1973,
1986,1988,1989,1996,1998,1999,2001,2018,2042,2043,2044,2048,2049,2050,2051,
2052,2072,2129,2133,2135,2137,2138,2147,2149,2151,2153,2163,2164,2277,2279,
2280,2360,2362,2363,2364,2365,2366,2367,2368,2369,2370,2371,2372,2373,2378,
2389,2391,2393,2411,2434,2472,2550,2552,2553,2599,2600,2601,2603,2604,2605,
2606,2614,2616,2618,2708,2711,2713,2743,2749,2804,2858,2884],[1,2,3,4,5,6,7,8,
9,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,
38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,60,61,62,63,64,65,66,67,68,
69,77,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100,101,102,103,
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,
180,189,193,196,197,198,199,200,201,202,203,204,205,206,209,210,213,214,215,
216,217,222,223,224,255,259,260,261,262,263,264,265,266,267,268,269,270,271,
272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,
291,292,293,303,320,327,328,329,330,331,333,334,335,336,337,338,339,340,341,
342,343,344,345,346,347,348,349,350,351,352,367,368,369,370,371,372,373,374,
375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,
394,395,396,398,399,401,405,406,407,408,409,410,411,412,413,414,415,416,417,
418,419,420,421,422,423,424,425,426,427,428,429,431,432,433,434,438,439,440,
441,442,443,444,445,446,447,448,449,450,460,461,462,463,464,465,466,467,468,
469,470,471,480,481,482,483,484,485,486,487,488,489,490,491,492,493,497,498,
499,500,501,502,503,504,505,506,507,508,513,514,515,516,517,518,519,520,521,
528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,
547,548,549,550,551,552,562,568,569,585,604,605,606,609,670,671,677,679,680,
681,682,683,684,685,686,699,700,701,702,703,704,705,706,707,708,709,710,711,
716,717,719,721,723,724,725,726,727,728,729,731,732,733,734,735,736,737,738,
739,740,741,742,743,744,745,746,747,752,753,754,755,756,760,761,762,763,764,
765,766,781,782,783,784,785,786,787,825,826,827,828,829,830,831,832,833,843,
844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,
863,864,865,866,867,868,869,870,913,914,915,916,917,918,919,920,925,926,927,
928,929,930,931,932,935,936,937,938,939,940,945,946,947,948,949,950,951,952,
954,955,957,973,974,975,976,977,979,980,981,982,983,984,985,986,987,988,989,
990,991,992,993,994,995,997,998,999,1000,1001,1005,1006,1007,1008,1009,1010,
1011,1028,1029,1030,1031,1032,1036,1037,1038,1039,1040,1041,1042,1058,1059,
1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1085,1086,1087,1088,1089,
1090,1091,1092,1103,1104,1105,1106,1222,1223,1224,1225,1226,1227,1228,1229,
1230,1231,1232,1233,1243,1244,1245,1247,1248,1249,1250,1251,1252,1253,1254,
1255,1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,
1270,1271,1272,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,
1306,1314,1315,1316,1317,1318,1319,1320,1321,1323,1325,1329,1330,1331,1332,
1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,
1348,1349,1350,1351,1352,1353,1358,1359,1380,1381,1382,1383,1384,1385,1386,
1387,1388,1389,1390,1391,1392,1393,1394,1395,1449,1450,1451,1452,1453,1454,
1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1486,
1487,1488,1489,1490,1491,1492,1493,1549,1550,1552,1553,1554,1557,1558,1565,
1566,1567,1568,1576,1577,1583,1585,1591,1593,1604,1605,1606,1607,1608,1609,
1638,1639,1734,1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,
1747,1748,1749,1750,1751,1752,1753,1754,1755,1756,1757,1758,1759,1769,1771,
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,
1802,1803,1804,1805,1806,1807,1849,1850,1851,1852,1853,1854,1855,1868,1869,
1870,1871,1872,1873,1874,1875,1876,1877,1878,1879,1883,1885,1887,1889,1890,
1891,1892,1893,1894,1895,1897,1898,1899,1900,1901,1902,1903,1912,1913,1914,
1915,1920,1921,1922,1923,1924,1928,1929,1930,1931,1932,1933,1934,1986,1987,
1988,1989,1990,1991,1992,1993,1994,1995,1996,1997,1998,1999,2000,2001,2002,
2003,2004,2005,2006,2007,2093,2094,2095,2096,2097,2098,2099,2100,2101,2102,
2104,2167,2168,2169,2170,2171,2172,2173,2174,2175,2176,2177,2178,2179,2180,
2181,2182,2183,2184,2185,2186,2187,2188,2189,2197,2199,2200,2201,2202,2203,
2204,2205,2206,2207,2208,2209,2210,2211,2212,2213,2214,2215,2216,2217,2218,
2219,2220,2221,2272,2293,2294,2295,2296,2297,2298,2299,2301,2303,2305,2309,
2310,2311,2312,2313,2314,2315,2316,2317,2318,2323,2324,2378,2379,2380,2381,
2446,2447,2448,2449,2450,2451,2452,2453,2454,2455,2456,2457,2458,2459,2460,
2461,2462,2463,2480,2481,2482,2483,2484,2485,2486,2487,2488,2489,2490,2497,
2498,2499,2500,2570,2574,2578,2641,2642,2643,2644,2645,2646,2647,2648,2649,
2650,2651,2652,2653,2654,2661,2731,2732,2733,2734,2735,2766,2767,2820,2821,
2822,2823,2824,2825,2826,2827,2828,2862,2863,2864,2865,2866,2867,2868,2885],[
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,
56,57,58,59,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,81,83,84,91,92,93,94,
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,
229,230,231,232,233,234,235,254,255,256,257,258,264,265,266,267,268,269,270,
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,
316,317,318,321,322,323,324,325,326,333,339,340,353,354,355,356,357,359,360,
361,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,
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,
575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,604,605,606,
607,608,609,610,611,612,613,622,623,624,625,626,627,628,641,642,643,644,645,
671,672,673,674,675,676,679,681,682,687,691,715,717,718,719,720,721,722,723,
724,725,726,727,728,729,730,731,744,745,746,747,748,749,750,751,752,753,754,
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,
812,813,814,815,816,817,818,819,820,821,834,835,836,837,849,871,872,873,874,
875,879,880,881,885,886,898,913,914,915,916,917,918,919,920,921,922,923,924,
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,
1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1028,1029,1030,1031,1032,
1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,
1048,1049,1050,1051,1052,1053,1058,1059,1060,1061,1062,1063,1064,1065,1066,
1067,1068,1069,1070,1071,1072,1073,1074,1075,1085,1086,1087,1088,1089,1090,
1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1103,1104,1105,1106,1107,
1108,1109,1110,1111,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,
1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,
1152,1153,1154,1179,1180,1185,1186,1229,1230,1231,1234,1235,1236,1237,1238,
1239,1240,1241,1242,1249,1259,1260,1261,1273,1274,1275,1276,1277,1278,1279,
1280,1281,1290,1292,1293,1311,1312,1313,1321,1322,1323,1324,1325,1326,1327,
1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1352,1353,1354,
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,
1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1469,
1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1494,1495,
1496,1497,1499,1500,1501,1502,1508,1521,1524,1552,1553,1554,1555,1556,1557,
1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1576,
1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,1590,1591,
1592,1593,1594,1595,1596,1597,1598,1604,1605,1606,1607,1608,1609,1610,1611,
1612,1613,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,
1630,1631,1638,1639,1640,1641,1642,1648,1649,1650,1651,1652,1653,1654,1655,
1656,1657,1658,1666,1667,1668,1669,1670,1671,1672,1687,1688,1689,1690,1691,
1692,1693,1700,1701,1702,1750,1754,1755,1760,1761,1762,1763,1764,1765,1766,
1767,1768,1782,1783,1808,1809,1810,1811,1812,1814,1815,1816,1817,1818,1819,
1820,1821,1822,1823,1824,1825,1826,1835,1839,1864,1865,1866,1867,1879,1880,
1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,1892,1893,1894,1895,
1896,1904,1905,1906,1907,1908,1909,1910,1911,1912,1913,1914,1915,1916,1917,
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,
1948,1949,1950,1951,1952,1953,1954,1956,1957,1958,1959,1960,1961,1962,1963,
1964,1965,1966,1967,1968,1969,1975,1976,1977,1978,2008,2009,2010,2011,2012,
2013,2020,2021,2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2032,2033,
2034,2035,2036,2042,2060,2070,2071,2104,2105,2106,2109,2110,2111,2112,2115,
2116,2123,2124,2125,2126,2129,2130,2131,2132,2139,2140,2183,2190,2191,2192,
2193,2194,2195,2196,2222,2223,2224,2225,2226,2227,2228,2229,2230,2231,2232,
2233,2234,2235,2236,2237,2238,2239,2240,2241,2242,2243,2244,2245,2246,2247,
2248,2249,2250,2251,2252,2271,2289,2290,2291,2292,2301,2302,2303,2304,2305,
2306,2307,2308,2309,2310,2311,2312,2317,2318,2319,2320,2321,2322,2323,2324,
2325,2326,2327,2328,2329,2330,2331,2332,2333,2334,2335,2336,2337,2338,2339,
2340,2341,2342,2343,2344,2345,2348,2349,2350,2351,2352,2353,2354,2355,2356,
2357,2358,2359,2360,2361,2362,2363,2382,2383,2384,2385,2386,2387,2395,2396,
2397,2398,2399,2400,2401,2402,2403,2404,2420,2425,2426,2428,2429,2465,2491,
2492,2493,2494,2495,2496,2501,2502,2503,2504,2505,2506,2507,2508,2509,2510,
2511,2512,2513,2514,2515,2516,2517,2518,2519,2520,2521,2522,2523,2524,2525,
2526,2529,2530,2531,2535,2546,2571,2572,2573,2578,2579,2580,2581,2582,2583,
2584,2585,2586,2587,2588,2589,2591,2592,2593,2594,2595,2596,2598,2599,2607,
2608,2620,2625,2630,2637,2638,2662,2663,2664,2665,2666,2667,2668,2669,2670,
2671,2672,2673,2674,2675,2676,2677,2678,2679,2680,2681,2692,2693,2736,2740,
2760,2761,2762,2763,2764,2773,2774,2775,2780,2781,2782,2783,2784,2785,2786,
2787,2789,2790,2796,2832,2833,2836,2845,2848,2870,2871,2886],[1,3,5,6,7,8,9,
10,11,12,13,21,23,24,26,27,28,29,30,32,34,35,41,42,45,46,47,49,50,51,52,53,55,
56,57,58,59,64,65,66,67,69,70,71,74,80,81,83,84,86,87,88,89,123,124,125,126,
128,136,137,138,140,141,142,143,144,146,147,148,154,155,157,159,162,164,166,
168,170,171,173,174,175,176,177,178,179,180,181,183,184,185,186,187,191,193,
194,213,214,215,218,219,220,221,222,224,225,226,228,229,230,231,232,233,234,
235,236,237,238,239,240,241,242,243,244,245,246,247,249,250,252,253,254,255,
256,257,258,281,282,283,284,285,288,290,292,293,294,296,297,298,301,303,304,
305,306,307,308,311,313,315,317,325,326,333,334,335,339,340,344,345,347,348,
350,351,352,353,354,355,356,357,359,360,361,438,439,440,441,443,445,447,449,
450,451,453,455,456,458,480,481,484,486,487,488,491,492,493,494,496,497,498,
502,503,504,507,508,510,511,512,528,530,532,534,540,542,547,553,555,557,558,
559,560,564,568,569,570,571,572,573,575,577,579,580,581,582,584,587,588,591,
592,593,594,595,596,597,599,600,601,602,622,623,624,625,626,627,629,630,631,
632,633,634,635,636,639,640,641,643,644,645,646,647,648,649,650,651,652,653,
654,655,656,657,658,659,661,662,663,664,666,667,668,669,673,675,679,681,682,
684,686,691,694,695,698,752,754,755,757,759,760,762,767,769,770,772,776,778,
779,782,783,784,785,787,789,791,794,796,797,798,808,811,815,817,819,820,834,
835,836,838,839,840,842,849,851,853,860,861,863,864,873,878,879,885,886,887,
888,889,890,891,892,898,997,999,1000,1002,1004,1005,1009,1012,1014,1016,1018,
1021,1023,1024,1026,1027,1058,1060,1061,1063,1070,1072,1074,1075,1076,1078,
1080,1081,1083,1086,1088,1094,1095,1096,1099,1100,1101,1102,1116,1118,1119,
1121,1123,1130,1132,1133,1136,1142,1143,1144,1145,1146,1147,1149,1151,1152,
1153,1155,1156,1157,1158,1159,1160,1161,1163,1164,1165,1169,1171,1173,1174,
1175,1176,1177,1178,1191,1192,1193,1195,1196,1197,1198,1199,1200,1201,1203,
1208,1209,1214,1215,1216,1217,1218,1221,1236,1239,1241,1249,1251,1254,1259,
1260,1264,1267,1269,1271,1273,1274,1275,1276,1277,1278,1279,1280,1281,1288,
1290,1292,1293,1358,1360,1362,1364,1366,1368,1370,1383,1384,1385,1386,1388,
1390,1392,1394,1395,1396,1398,1400,1401,1403,1407,1410,1412,1415,1417,1418,
1419,1420,1421,1422,1423,1424,1425,1426,1427,1439,1442,1444,1445,1446,1469,
1471,1476,1478,1490,1496,1497,1499,1500,1501,1502,1503,1504,1505,1506,1508,
1510,1511,1512,1513,1514,1515,1524,1527,1608,1610,1612,1614,1616,1617,1619,
1625,1627,1632,1633,1634,1635,1637,1666,1668,1673,1675,1677,1679,1682,1684,
1685,1688,1690,1694,1695,1696,1697,1699,1705,1706,1707,1709,1710,1713,1714,
1715,1719,1720,1721,1722,1723,1724,1764,1768,1782,1786,1790,1801,1803,1810,
1814,1815,1817,1821,1823,1826,1835,1836,1837,1839,1844,1845,1848,1908,1920,
1922,1923,1925,1927,1928,1932,1935,1937,1939,1941,1944,1946,1947,1952,1955,
1957,1960,1963,1965,1967,1968,1969,1970,1971,1972,1973,1974,1980,1982,1984,
2010,2013,2024,2031,2033,2034,2037,2038,2039,2041,2042,2043,2044,2045,2049,
2050,2051,2052,2055,2067,2070,2071,2129,2133,2135,2137,2138,2147,2149,2151,
2153,2163,2164,2195,2212,2224,2226,2228,2229,2231,2233,2237,2240,2242,2244,
2245,2246,2247,2248,2249,2250,2251,2252,2261,2265,2271,2323,2325,2327,2329,
2331,2337,2339,2346,2349,2353,2355,2358,2360,2361,2362,2363,2364,2365,2366,
2367,2368,2369,2370,2371,2372,2373,2386,2398,2405,2406,2407,2411,2425,2428,
2433,2472,2495,2505,2514,2518,2521,2524,2525,2526,2527,2528,2531,2532,2533,
2534,2535,2546,2547,2548,2586,2592,2597,2599,2600,2601,2602,2603,2604,2605,
2606,2609,2611,2621,2633,2637,2638,2669,2673,2675,2677,2678,2680,2681,2682,
2683,2684,2686,2687,2688,2690,2691,2692,2693,2704,2741,2743,2761,2764,2765,
2781,2787,2788,2791,2793,2795,2796,2797,2798,2799,2834,2836,2849,2853,2871,
2872,2887],[1,3,5,6,7,8,9,10,11,12,13,21,23,24,26,27,28,29,30,32,33,34,35,41,
42,45,46,47,49,50,51,52,53,54,55,56,57,58,59,64,65,66,67,69,70,71,74,81,83,84,
123,124,125,126,128,136,137,138,140,141,142,143,144,146,147,148,154,155,157,
159,162,164,165,166,168,169,170,171,173,174,175,176,177,178,179,180,181,182,
183,184,185,186,187,191,192,193,194,195,213,214,215,218,219,220,221,222,224,
225,226,227,228,229,230,231,232,233,234,235,248,251,254,255,256,257,258,281,
282,283,284,285,288,290,292,293,294,296,297,298,301,303,304,305,306,307,308,
311,313,315,317,318,325,326,333,339,340,353,354,355,356,357,359,360,361,438,
439,440,441,443,445,447,449,450,451,453,455,456,458,480,481,484,486,487,488,
491,492,493,494,495,496,497,498,502,503,504,507,508,510,511,512,528,530,531,
532,534,540,542,547,553,554,555,556,557,558,559,560,564,566,568,569,570,571,
572,573,575,577,578,579,580,581,582,583,584,586,587,588,598,603,622,623,624,
625,626,627,637,638,641,643,644,645,660,665,673,675,679,681,682,691,752,754,
755,757,759,760,762,767,769,770,772,776,778,779,782,783,784,785,787,789,791,
794,796,797,798,808,811,815,817,818,819,820,834,835,836,841,849,873,879,885,
886,898,997,999,1000,1002,1004,1005,1009,1012,1014,1016,1018,1021,1023,1024,
1058,1060,1061,1063,1070,1071,1072,1073,1074,1075,1077,1079,1082,1084,1086,
1088,1094,1095,1096,1099,1100,1116,1117,1118,1119,1121,1123,1130,1131,1132,
1133,1136,1148,1150,1152,1153,1162,1166,1167,1168,1170,1172,1194,1202,1219,
1220,1236,1239,1241,1249,1252,1259,1260,1272,1273,1274,1275,1276,1277,1278,
1279,1280,1281,1290,1292,1293,1358,1360,1362,1364,1366,1368,1370,1383,1384,
1385,1386,1388,1390,1392,1394,1395,1396,1398,1400,1401,1403,1407,1410,1412,
1415,1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,1439,1440,1442,
1447,1469,1471,1476,1478,1479,1496,1497,1499,1500,1501,1502,1508,1524,1608,
1610,1612,1615,1617,1619,1625,1627,1636,1666,1667,1668,1674,1676,1678,1680,
1681,1683,1686,1688,1690,1698,1708,1716,1725,1764,1768,1782,1787,1791,1810,
1814,1815,1817,1821,1823,1826,1835,1839,1908,1920,1922,1923,1925,1927,1928,
1932,1935,1937,1939,1941,1944,1946,1947,1952,1957,1960,1963,1965,1967,1968,
1969,1981,1983,2010,2013,2024,2031,2032,2033,2034,2040,2042,2068,2070,2071,
2129,2134,2136,2148,2150,2152,2154,2195,2213,2224,2226,2228,2229,2231,2233,
2237,2240,2242,2244,2245,2246,2247,2248,2249,2250,2251,2252,2271,2323,2325,
2327,2329,2331,2337,2339,2347,2349,2353,2355,2358,2360,2361,2362,2363,2386,
2387,2398,2408,2425,2428,2473,2495,2505,2514,2518,2521,2524,2525,2526,2531,
2535,2546,2586,2592,2599,2610,2612,2634,2637,2638,2669,2673,2675,2677,2678,
2680,2681,2685,2689,2692,2693,2742,2761,2764,2781,2787,2792,2794,2796,2835,
2836,2850,2871,2888],[1,3,9,10,11,12,13,21,23,24,60,64,67,70,71,81,90,123,254,
255,256,257,258,260,282,294,298,303,304,305,306,307,308,311,313,319,320,365,
673,675,679,691,704,712,713,714,757,782,789,797,825,898,908,1236,1239,1241,
1247,1275,1276,1278,1279,1280,1281,1282,1524,1545,1549,1550,1551,1764,1815,
1821,1826,1828,2065,2070,2095,2280,2286,2288,2425,2565,2570,2658,2772,2857,
2889],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,18,21,22,23,24,25,26,27,28,29,36,
37,41,42,43,44,47,48,49,60,61,62,63,64,65,66,67,68,69,70,71,72,73,75,76,79,81,
83,84,85,91,92,93,94,95,96,97,102,103,104,105,106,114,115,116,119,123,124,125,
129,130,131,136,137,143,144,149,154,155,156,157,158,159,160,161,170,197,198,
199,204,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,
271,274,275,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,
294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,
313,314,321,322,333,339,340,343,346,349,353,354,355,356,357,364,365,366,367,
368,369,372,373,378,379,383,384,385,386,405,409,413,414,415,416,438,441,442,
443,444,460,463,464,465,466,480,481,482,483,497,498,499,500,513,514,515,516,
670,671,672,673,674,675,676,677,678,679,681,682,683,685,687,688,689,691,693,
697,699,700,701,702,703,704,705,706,707,708,709,710,711,715,717,718,719,720,
721,722,723,724,725,726,727,728,729,730,731,733,736,737,744,745,746,747,748,
749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,
768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,788,789,
790,793,796,797,798,799,800,801,804,805,834,835,849,852,859,862,871,872,874,
875,877,880,898,902,903,904,905,906,907,908,909,910,911,912,913,916,917,925,
926,935,936,973,974,979,980,997,998,1028,1029,1222,1223,1224,1225,1226,1229,
1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,
1245,1246,1249,1253,1259,1260,1261,1263,1265,1266,1268,1270,1273,1274,1275,
1276,1277,1278,1279,1280,1281,1284,1292,1293,1294,1295,1296,1297,1298,1299,
1300,1301,1302,1303,1304,1305,1306,1310,1311,1312,1313,1321,1322,1323,1324,
1325,1326,1327,1328,1330,1331,1332,1333,1334,1335,1336,1346,1352,1353,1354,
1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,
1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1383,1386,1387,1388,
1389,1405,1417,1418,1419,1420,1421,1422,1423,1469,1471,1472,1473,1474,1475,
1480,1481,1521,1522,1523,1524,1526,1530,1531,1532,1533,1534,1535,1536,1537,
1538,1539,1540,1541,1542,1543,1544,1545,1546,1547,1548,1549,1552,1734,1735,
1736,1737,1738,1739,1740,1743,1750,1754,1755,1756,1757,1758,1760,1761,1762,
1763,1764,1765,1766,1767,1768,1769,1770,1771,1772,1773,1774,1782,1783,1788,
1789,1800,1802,1804,1808,1809,1810,1811,1812,1813,1814,1815,1816,1817,1818,
1819,1820,1821,1822,1825,1826,1839,1842,1843,1847,1849,1850,1851,1852,1853,
1854,1855,1861,1862,1863,1864,1865,1866,1879,1880,1881,1882,1889,1891,1892,
1904,1905,1906,1907,1908,1909,1910,1911,1912,1913,1920,1921,1957,1958,1959,
1962,1965,1966,2008,2009,2020,2021,2059,2060,2061,2062,2063,2070,2071,2073,
2074,2075,2076,2077,2078,2079,2080,2081,2082,2083,2084,2085,2086,2087,2088,
2089,2090,2091,2092,2093,2094,2095,2096,2097,2167,2168,2169,2172,2174,2183,
2186,2188,2189,2190,2191,2192,2193,2194,2195,2196,2197,2198,2199,2222,2223,
2224,2225,2226,2227,2228,2229,2230,2231,2232,2233,2234,2235,2244,2245,2251,
2252,2264,2272,2281,2282,2283,2284,2285,2286,2287,2289,2309,2348,2417,2420,
2425,2426,2427,2428,2429,2431,2432,2435,2436,2437,2438,2439,2440,2441,2442,
2443,2444,2445,2446,2447,2448,2449,2450,2451,2452,2453,2454,2480,2491,2492,
2493,2494,2495,2496,2501,2502,2503,2504,2505,2506,2507,2508,2509,2518,2519,
2520,2523,2535,2554,2555,2556,2557,2558,2559,2560,2561,2562,2563,2564,2565,
2566,2625,2626,2627,2628,2630,2632,2637,2639,2640,2641,2642,2643,2644,2645,
2646,2647,2660,2662,2663,2668,2714,2715,2716,2717,2718,2719,2720,2721,2722,
2723,2724,2725,2726,2727,2728,2753,2760,2761,2762,2766,2769,2770,2771,2805,
2806,2807,2808,2809,2810,2811,2812,2813,2814,2815,2816,2832,2840,2841,2859,
2860,2875,2876,2877,2890],[1,3,5,6,7,8,9,10,11,12,13,21,23,24,26,27,28,29,30,
32,34,35,41,42,45,46,47,49,50,51,52,53,60,64,65,66,67,69,70,71,74,80,81,83,84,
86,87,88,89,123,124,125,126,128,136,137,138,140,141,142,143,144,146,147,148,
154,155,157,159,162,164,166,168,170,171,173,174,175,176,177,178,179,180,193,
213,214,215,222,224,254,255,256,257,258,260,261,262,281,282,283,284,285,288,
290,292,293,303,304,305,311,313,315,317,319,320,333,334,335,339,340,344,345,
347,348,350,351,352,353,354,355,356,358,365,438,439,440,441,443,445,447,449,
450,480,481,484,486,487,488,491,492,493,497,498,502,503,504,507,508,528,530,
532,534,540,542,547,568,569,673,675,677,678,679,681,682,684,685,686,691,694,
695,698,703,704,705,706,707,752,754,755,760,762,782,783,784,785,787,789,791,
794,808,811,815,823,825,827,828,829,831,832,833,834,835,836,849,851,853,860,
861,863,864,873,878,884,898,908,997,999,1000,1005,1009,1058,1060,1061,1063,
1086,1088,1236,1243,1244,1245,1247,1249,1250,1251,1253,1254,1259,1260,1264,
1265,1267,1269,1270,1271,1273,1274,1278,1282,1288,1292,1293,1300,1302,1304,
1358,1383,1384,1385,1386,1388,1390,1392,1394,1395,1407,1417,1418,1449,1450,
1451,1455,1456,1459,1461,1462,1463,1466,1467,1468,1469,1470,1471,1476,1478,
1490,1522,1524,1527,1545,1547,1549,1550,1608,1768,1769,1770,1772,1773,1775,
1777,1778,1779,1782,1785,1786,1788,1790,1792,1793,1801,1803,1810,1821,1823,
1828,1830,1833,1839,1844,1845,1848,1854,1920,1922,1923,1928,1932,1957,1960,
1963,1986,1988,1989,1996,1998,1999,2001,2010,2013,2015,2024,2062,2065,2067,
2071,2087,2095,2096,2097,2099,2101,2102,2195,2197,2200,2203,2204,2206,2212,
2218,2237,2244,2256,2260,2265,2286,2288,2323,2349,2378,2421,2427,2428,2433,
2444,2450,2451,2452,2458,2461,2463,2497,2518,2521,2538,2541,2544,2565,2569,
2570,2627,2629,2633,2646,2652,2669,2698,2727,2730,2733,2734,2735,2754,2772,
2813,2819,2824,2825,2827,2844,2867,2879,2891],[1,2,3,4,5,6,9,10,11,12,13,14,
15,16,17,18,21,22,23,24,25,26,27,28,29,36,37,41,42,43,44,47,48,49,60,61,63,64,
65,66,70,72,73,75,77,78,81,82,83,84,91,92,93,94,95,96,97,102,103,104,105,106,
114,115,116,119,123,124,125,129,130,131,136,137,143,144,149,154,155,156,157,
158,159,160,161,170,197,198,199,204,254,255,256,257,258,260,261,262,265,266,
267,278,281,284,285,286,287,303,304,305,309,310,311,312,313,314,319,320,327,
328,329,333,336,339,340,341,342,353,354,355,356,358,365,367,368,369,372,373,
378,379,383,384,385,386,405,409,413,414,415,416,438,441,442,443,444,460,463,
464,465,466,480,481,482,483,497,498,499,500,513,514,515,516,671,672,673,674,
679,680,681,682,687,690,691,692,696,702,703,706,707,711,716,723,725,726,731,
744,745,752,753,781,782,783,784,788,789,790,793,800,801,804,805,822,825,826,
827,828,834,843,844,845,849,850,854,855,871,872,874,876,880,882,898,908,913,
916,917,925,926,935,936,973,974,979,980,997,998,1028,1029,1229,1230,1231,1234,
1247,1248,1249,1250,1255,1256,1259,1260,1261,1262,1273,1274,1278,1282,1286,
1292,1293,1299,1300,1301,1314,1315,1316,1330,1334,1335,1336,1380,1383,1386,
1387,1388,1389,1405,1417,1418,1449,1452,1455,1456,1457,1458,1469,1470,1471,
1472,1473,1474,1475,1486,1521,1524,1525,1544,1547,1549,1550,1552,1749,1750,
1751,1754,1755,1768,1778,1780,1782,1783,1784,1785,1794,1795,1808,1809,1812,
1820,1821,1822,1827,1828,1829,1839,1840,1841,1846,1852,1868,1871,1872,1889,
1891,1892,1912,1913,1920,1921,1957,1958,1959,1962,1986,1987,1991,1992,2008,
2009,2014,2020,2021,2060,2065,2066,2071,2087,2094,2096,2098,2099,2182,2183,
2184,2194,2204,2205,2208,2209,2235,2244,2253,2260,2263,2286,2288,2293,2309,
2348,2418,2428,2429,2430,2442,2449,2451,2453,2455,2458,2459,2487,2518,2519,
2520,2538,2539,2540,2564,2567,2570,2629,2630,2631,2644,2648,2668,2697,2727,
2730,2731,2734,2756,2772,2815,2817,2821,2825,2826,2842,2863,2879,2892],[1,2,3,
4,5,6,9,10,11,12,13,15,16,18,21,23,24,25,26,27,28,29,31,33,36,37,39,41,42,43,
44,47,49,54,60,61,62,64,65,66,68,70,72,73,76,79,81,83,84,85,102,104,105,107,
109,111,113,114,116,123,124,125,127,136,137,139,143,144,145,149,151,153,154,
155,157,158,159,161,163,165,167,169,170,172,197,198,199,201,206,209,254,255,
256,257,258,259,260,261,262,263,266,268,270,271,274,275,281,284,285,286,289,
291,303,304,305,311,312,313,314,316,318,319,320,333,339,340,343,346,349,353,
354,355,356,358,365,405,406,408,413,415,417,419,421,423,424,426,438,441,443,
444,446,448,480,481,485,489,490,497,498,501,505,506,513,514,518,519,529,531,
533,535,541,543,545,548,670,673,674,676,679,681,682,683,688,689,691,693,697,
699,700,701,703,706,707,708,709,710,725,727,729,731,732,733,736,737,752,756,
761,763,782,783,784,786,789,790,792,795,809,810,813,814,824,825,827,828,830,
834,849,852,859,862,871,872,875,877,881,883,898,907,908,909,973,975,977,984,
986,990,992,997,1001,1006,1010,1059,1062,1085,1087,1223,1225,1226,1237,1247,
1249,1250,1252,1259,1260,1263,1266,1268,1272,1273,1274,1278,1282,1284,1292,
1293,1294,1295,1296,1300,1303,1305,1306,1332,1335,1337,1339,1340,1341,1343,
1346,1383,1386,1388,1389,1391,1393,1408,1417,1418,1449,1455,1456,1460,1464,
1465,1469,1470,1471,1474,1475,1477,1479,1523,1524,1526,1543,1547,1549,1550,
1604,1737,1739,1740,1745,1747,1768,1778,1782,1785,1787,1789,1791,1800,1802,
1809,1811,1813,1821,1822,1824,1828,1831,1832,1839,1842,1843,1847,1849,1891,
1893,1895,1897,1899,1901,1920,1924,1929,1933,1957,1959,1961,1964,1986,1990,
1997,2000,2011,2012,2016,2022,2023,2063,2065,2068,2071,2087,2089,2090,2093,
2096,2099,2100,2172,2176,2178,2196,2204,2207,2213,2219,2238,2244,2257,2260,
2264,2286,2288,2311,2313,2350,2423,2428,2431,2432,2443,2447,2451,2454,2458,
2460,2462,2484,2518,2520,2522,2538,2542,2543,2563,2568,2570,2629,2632,2634,
2642,2651,2670,2699,2727,2730,2732,2734,2757,2772,2814,2818,2823,2825,2828,
2843,2865,2879,2893],[1,2,3,4,5,6,9,13,14,15,16,17,18,21,22,23,24,25,26,27,28,
29,36,37,60,61,63,64,65,66,67,68,69,77,81,82,83,84,90,91,92,93,94,95,96,97,
102,103,104,105,106,123,124,125,129,130,131,136,137,143,144,149,255,259,260,
261,262,263,264,265,266,267,268,269,270,278,279,280,281,282,283,288,289,292,
294,295,296,297,298,299,300,303,306,320,327,328,329,333,336,362,363,367,368,
369,372,373,378,379,405,409,438,460,671,679,680,681,682,699,700,701,702,703,
704,705,708,714,715,716,717,718,719,720,721,722,723,724,727,731,746,748,749,
750,751,754,757,758,759,767,768,769,774,776,777,778,781,782,783,784,796,797,
798,825,826,827,828,843,900,913,1229,1230,1231,1247,1248,1249,1250,1255,1256,
1275,1295,1297,1298,1299,1302,1308,1309,1311,1312,1313,1314,1315,1316,1323,
1324,1327,1328,1334,1335,1336,1354,1355,1360,1361,1380,1383,1422,1449,1452,
1549,1550,1749,1750,1751,1760,1778,1780,1814,1815,1816,1817,1850,1859,1865,
1868,1889,2093,2094,2095,2096,2097,2098,2099,2182,2190,2191,2192,2231,2232,
2280,2446,2447,2448,2449,2450,2455,2492,2553,2570,2641,2731,2734,2821,2857,
2882,2883,2894],[1,3,5,6,9,13,21,23,24,26,27,28,29,41,42,47,49,60,64,65,66,67,
69,81,83,84,90,123,124,125,136,137,143,144,154,155,157,159,170,255,260,261,
262,281,282,283,284,285,288,290,292,293,294,296,297,298,301,303,306,320,333,
339,340,362,438,441,443,480,481,497,498,679,681,682,703,704,705,706,707,714,
752,754,755,757,759,760,762,767,769,770,772,776,778,779,782,783,784,796,797,
798,825,827,828,849,899,997,1247,1249,1250,1259,1260,1275,1300,1302,1304,1308,
1358,1360,1362,1364,1366,1368,1370,1383,1386,1388,1419,1422,1423,1449,1455,
1456,1549,1550,1778,1782,1785,1814,1815,1817,1854,1858,1908,1920,1965,1986,
2095,2096,2097,2099,2204,2228,2231,2233,2280,2450,2451,2452,2458,2505,2553,
2570,2646,2713,2734,2825,2857,2883,2895],[1,3,5,6,9,13,21,23,24,26,27,28,29,
43,44,48,60,64,65,66,67,69,81,83,84,90,123,124,125,136,137,143,144,156,158,
160,161,255,260,261,262,281,282,283,286,287,288,291,292,294,296,297,298,302,
303,306,320,333,341,342,362,438,442,444,482,483,499,500,679,681,682,703,704,
705,709,710,711,714,753,754,756,757,759,764,765,767,769,771,773,776,778,782,
783,784,796,797,798,825,827,828,850,901,998,1247,1249,1250,1261,1262,1275,
1301,1302,1303,1308,1359,1360,1363,1372,1374,1376,1378,1383,1387,1389,1422,
1449,1457,1458,1549,1550,1778,1783,1784,1814,1815,1817,1855,1860,1910,1921,
1987,2095,2096,2097,2099,2205,2230,2231,2234,2280,2450,2453,2454,2459,2508,
2553,2570,2647,2734,2826,2857,2883,2896],[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,
42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,63,64,65,66,67,68,69,
70,71,72,73,74,75,76,80,81,83,84,86,87,88,89,91,92,93,94,95,96,97,98,99,100,
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,
253,254,255,256,257,258,264,265,266,267,268,269,270,278,279,280,281,282,283,
284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,
303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,321,322,323,
324,325,326,333,334,335,339,340,344,345,347,348,350,351,352,353,354,355,356,
357,359,360,361,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,
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,
667,668,669,671,672,673,674,675,676,679,681,682,684,686,687,691,694,695,698,
715,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,744,745,746,
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,
804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,834,
835,836,837,838,839,840,841,842,849,851,853,860,861,863,864,871,872,873,874,
875,878,879,880,881,885,886,887,888,889,890,891,892,898,913,914,915,916,917,
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,
1220,1221,1229,1230,1231,1234,1235,1236,1237,1238,1239,1240,1241,1242,1249,
1251,1252,1254,1259,1260,1261,1264,1267,1269,1271,1272,1273,1274,1275,1276,
1277,1278,1279,1280,1281,1288,1290,1292,1293,1311,1312,1313,1321,1322,1323,
1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,
1339,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,
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,
1441,1442,1443,1444,1445,1446,1447,1469,1471,1472,1473,1474,1475,1476,1477,
1478,1479,1480,1481,1482,1483,1484,1485,1490,1494,1495,1496,1497,1499,1500,
1501,1502,1503,1504,1505,1506,1508,1510,1511,1512,1513,1514,1515,1521,1524,
1527,1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,
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,
1731,1732,1733,1750,1752,1753,1754,1755,1759,1760,1761,1762,1763,1764,1765,
1766,1767,1768,1782,1783,1786,1787,1790,1791,1801,1803,1808,1809,1810,1811,
1812,1814,1815,1816,1817,1818,1819,1820,1821,1822,1823,1824,1825,1826,1835,
1836,1837,1839,1844,1845,1848,1864,1865,1866,1867,1879,1880,1881,1882,1883,
1884,1885,1886,1887,1888,1889,1890,1891,1892,1893,1894,1895,1896,1904,1905,
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,
1981,1982,1983,1984,1985,2008,2009,2010,2011,2012,2013,2020,2021,2022,2023,
2024,2025,2026,2027,2028,2029,2030,2031,2032,2033,2034,2035,2036,2037,2038,
2039,2040,2041,2042,2043,2044,2045,2049,2050,2051,2052,2055,2060,2067,2068,
2070,2071,2104,2105,2106,2107,2108,2109,2110,2111,2112,2113,2114,2115,2116,
2117,2118,2119,2120,2121,2122,2123,2124,2125,2126,2127,2128,2129,2130,2131,
2132,2133,2134,2135,2136,2137,2138,2139,2140,2141,2142,2143,2144,2145,2146,
2147,2148,2149,2150,2151,2152,2153,2154,2155,2156,2157,2158,2159,2160,2161,
2162,2163,2164,2165,2166,2183,2185,2187,2190,2191,2192,2193,2194,2195,2196,
2212,2213,2214,2215,2222,2223,2224,2225,2226,2227,2228,2229,2230,2231,2232,
2233,2234,2235,2236,2237,2238,2239,2240,2241,2242,2243,2244,2245,2246,2247,
2248,2249,2250,2251,2252,2261,2265,2271,2289,2290,2291,2292,2301,2302,2303,
2304,2305,2306,2307,2308,2309,2310,2311,2312,2317,2318,2319,2320,2321,2322,
2323,2324,2325,2326,2327,2328,2329,2330,2331,2332,2333,2334,2335,2336,2337,
2338,2339,2340,2341,2342,2343,2344,2345,2346,2347,2348,2349,2350,2351,2352,
2353,2354,2355,2356,2357,2358,2359,2360,2361,2362,2363,2364,2365,2366,2367,
2368,2369,2370,2371,2372,2373,2374,2375,2376,2377,2382,2383,2384,2385,2386,
2387,2395,2396,2397,2398,2399,2400,2401,2402,2403,2404,2405,2406,2407,2408,
2409,2410,2411,2419,2420,2425,2426,2428,2429,2433,2465,2466,2467,2468,2469,
2470,2471,2472,2473,2474,2475,2476,2477,2478,2479,2489,2491,2492,2493,2494,
2495,2496,2501,2502,2503,2504,2505,2506,2507,2508,2509,2510,2511,2512,2513,
2514,2515,2516,2517,2518,2519,2520,2521,2522,2523,2524,2525,2526,2527,2528,
2529,2530,2531,2532,2533,2534,2535,2546,2547,2548,2571,2572,2573,2578,2579,
2580,2581,2582,2583,2584,2585,2586,2587,2588,2589,2590,2591,2592,2593,2594,
2595,2596,2597,2598,2599,2600,2601,2602,2603,2604,2605,2606,2607,2608,2609,
2610,2611,2612,2620,2621,2622,2623,2625,2630,2633,2634,2637,2638,2659,2662,
2663,2664,2665,2666,2667,2668,2669,2670,2671,2672,2673,2674,2675,2676,2677,
2678,2679,2680,2681,2682,2683,2684,2685,2686,2687,2688,2689,2690,2691,2692,
2693,2704,2736,2740,2741,2742,2743,2744,2745,2746,2747,2758,2760,2761,2762,
2763,2764,2765,2773,2774,2775,2776,2777,2778,2779,2780,2781,2782,2783,2784,
2785,2786,2787,2788,2789,2790,2791,2792,2793,2794,2795,2796,2797,2798,2799,
2830,2832,2833,2834,2835,2836,2845,2846,2847,2848,2849,2850,2851,2852,2853,
2869,2870,2871,2872,2880,2886,2887,2888,2897],[1,2,3,4,9,10,11,12,13,14,15,21,
22,23,24,25,60,61,63,64,67,68,70,71,72,73,75,76,77,78,81,82,90,91,92,93,102,
103,123,129,254,255,256,257,258,259,260,263,264,265,268,279,282,294,295,298,
299,303,304,305,306,307,308,309,310,311,312,313,314,319,320,321,322,327,363,
365,367,671,672,673,674,675,676,679,680,687,690,691,692,696,700,702,704,712,
713,714,715,716,719,720,731,748,751,757,758,781,782,788,789,790,793,797,799,
800,801,804,805,822,825,826,898,907,908,909,1229,1234,1235,1236,1237,1238,
1239,1240,1241,1242,1247,1248,1275,1276,1278,1279,1280,1281,1282,1286,1297,
1307,1309,1312,1314,1334,1405,1521,1524,1525,1543,1544,1545,1549,1550,1551,
1749,1760,1761,1762,1763,1764,1765,1766,1767,1815,1816,1818,1820,1821,1822,
1825,1826,1827,1828,1829,2060,2065,2066,2070,2086,2093,2094,2095,2098,2103,
2191,2193,2235,2253,2280,2286,2288,2418,2420,2425,2426,2446,2563,2564,2565,
2567,2570,2625,2658,2726,2731,2772,2842,2857,2882,2889,2898],[1,3,5,6,7,8,10,
12,13,21,23,24,26,27,28,29,30,32,34,35,41,42,45,46,47,49,50,51,52,53,55,56,57,
58,59,70,74,80,81,83,84,86,87,88,89,90,123,124,125,126,128,136,137,138,140,
141,142,143,144,146,147,148,154,155,157,159,162,164,166,168,170,171,173,174,
175,176,177,178,179,180,181,183,184,185,186,187,191,193,194,213,214,215,218,
219,220,221,222,224,225,226,228,229,230,231,232,233,234,235,236,237,238,239,
240,241,242,243,244,245,246,247,249,250,252,253,257,304,306,308,311,313,315,
317,319,320,325,326,333,334,335,339,340,344,345,347,348,350,351,352,353,355,
357,358,359,360,361,362,438,439,440,441,443,445,447,449,450,451,453,455,456,
458,480,481,484,486,487,488,491,492,493,494,496,497,498,502,503,504,507,508,
510,511,512,528,530,532,534,540,542,547,553,555,557,558,559,560,564,568,569,
570,571,572,573,575,577,579,580,581,582,584,587,588,591,592,593,594,595,596,
597,599,600,601,602,622,623,624,625,626,627,629,630,631,632,633,634,635,636,
639,640,641,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,
659,661,662,663,664,666,667,668,669,691,694,695,712,713,714,789,791,796,797,
798,808,811,815,817,819,820,823,825,827,828,829,831,832,833,834,838,839,840,
842,849,851,853,860,861,863,864,873,878,879,884,885,886,887,888,889,890,891,
892,893,894,895,896,897,899,997,999,1000,1002,1004,1005,1009,1012,1014,1016,
1018,1021,1023,1024,1026,1027,1058,1060,1061,1063,1070,1072,1074,1075,1076,
1078,1080,1081,1083,1086,1088,1094,1095,1096,1099,1100,1101,1102,1116,1118,
1119,1121,1123,1130,1132,1133,1136,1142,1143,1144,1145,1146,1147,1149,1151,
1152,1153,1155,1156,1157,1158,1159,1160,1161,1163,1164,1165,1169,1171,1173,
1174,1175,1176,1177,1178,1191,1192,1193,1195,1196,1197,1198,1199,1200,1201,
1203,1208,1209,1214,1215,1216,1217,1218,1221,1280,1282,1288,1290,1292,1308,
1407,1410,1412,1417,1419,1421,1422,1423,1424,1425,1427,1439,1442,1444,1445,
1446,1449,1450,1451,1455,1456,1459,1461,1462,1463,1466,1467,1468,1469,1470,
1471,1476,1478,1490,1496,1497,1499,1500,1501,1502,1503,1504,1505,1506,1507,
1508,1510,1511,1512,1513,1514,1515,1529,1551,1608,1610,1612,1614,1616,1617,
1619,1625,1627,1632,1633,1634,1635,1637,1666,1668,1673,1675,1677,1679,1682,
1684,1685,1688,1690,1694,1695,1696,1697,1699,1705,1706,1707,1709,1710,1713,
1714,1715,1719,1720,1721,1722,1723,1724,1826,1828,1830,1833,1835,1836,1837,
1838,1839,1844,1845,1856,1857,1858,1952,1955,1957,1960,1965,1967,1968,1969,
1970,1971,1972,1973,1974,1980,1982,1984,1986,1988,1989,1996,1998,1999,2001,
2010,2013,2015,2017,2018,2019,2024,2031,2033,2034,2037,2038,2039,2041,2042,
2043,2044,2045,2046,2047,2048,2049,2050,2051,2052,2055,2056,2057,2058,2072,
2129,2133,2135,2137,2138,2147,2149,2151,2153,2163,2164,2249,2251,2256,2260,
2261,2265,2271,2273,2276,2277,2278,2279,2280,2346,2349,2353,2355,2360,2361,
2362,2363,2364,2365,2366,2367,2368,2369,2370,2371,2372,2373,2378,2386,2389,
2391,2393,2398,2405,2406,2407,2411,2434,2464,2472,2531,2532,2533,2535,2537,
2538,2541,2544,2546,2547,2548,2549,2550,2552,2553,2592,2597,2599,2600,2601,
2602,2603,2604,2605,2606,2609,2611,2613,2614,2616,2618,2621,2655,2657,2658,
2691,2692,2695,2698,2704,2706,2707,2708,2709,2711,2713,2741,2743,2749,2796,
2797,2798,2802,2804,2837,2838,2839,2853,2855,2858,2874,2884,2899],[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,
33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,60,61,62,63,
64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,
91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,
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,
169,170,171,172,173,174,175,176,177,178,179,180,189,193,196,197,198,199,200,
201,202,203,204,205,206,209,210,213,214,215,216,217,222,223,224,254,255,256,
257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,
276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,303,
304,305,309,310,311,312,313,314,315,316,317,318,319,320,321,323,324,327,328,
329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,
348,349,350,351,352,353,354,355,356,358,365,367,368,369,370,371,372,373,374,
375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,
394,395,396,398,399,401,405,406,407,408,409,410,411,412,413,414,415,416,417,
418,419,420,421,422,423,424,425,426,427,428,429,431,432,433,434,438,439,440,
441,442,443,444,445,446,447,448,449,450,460,461,462,463,464,465,466,467,468,
469,470,471,480,481,482,483,484,485,486,487,488,489,490,491,492,493,497,498,
499,500,501,502,503,504,505,506,507,508,513,514,515,516,517,518,519,520,521,
528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,
547,548,549,550,551,552,562,568,569,585,604,605,606,609,670,671,672,673,674,
675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,
694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,716,
717,719,721,723,724,725,726,727,728,729,731,732,733,734,735,736,737,738,739,
740,741,742,743,744,745,746,747,752,753,754,755,756,760,761,762,763,764,765,
766,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,800,801,802,
803,804,805,806,807,808,809,810,811,812,813,814,815,816,822,823,824,825,826,
827,828,829,830,831,832,833,834,835,836,843,844,845,846,847,848,849,850,851,
852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,
871,872,873,874,875,876,877,878,880,881,882,883,884,898,907,908,909,913,914,
915,916,917,918,919,920,925,926,927,928,929,930,931,932,935,936,937,938,939,
940,945,946,947,948,949,950,951,952,954,955,957,973,974,975,976,977,979,980,
981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,997,998,999,1000,
1001,1005,1006,1007,1008,1009,1010,1011,1028,1029,1030,1031,1032,1036,1037,
1038,1039,1040,1041,1042,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,
1068,1069,1085,1086,1087,1088,1089,1090,1091,1092,1103,1104,1105,1106,1222,
1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,
1238,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,
1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,
1272,1273,1274,1278,1282,1283,1284,1285,1286,1287,1288,1289,1291,1292,1293,
1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1314,1315,
1316,1317,1318,1319,1320,1321,1323,1325,1329,1330,1331,1332,1333,1334,1335,
1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,
1351,1352,1353,1358,1359,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,
1390,1391,1392,1393,1394,1395,1405,1406,1407,1408,1409,1414,1417,1418,1428,
1429,1430,1432,1434,1435,1448,1449,1450,1451,1452,1453,1454,1455,1456,1457,
1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,1470,1471,1472,
1473,1474,1475,1476,1477,1478,1479,1480,1482,1486,1487,1488,1489,1490,1491,
1492,1493,1494,1495,1498,1509,1521,1522,1523,1524,1525,1526,1527,1543,1544,
1545,1547,1549,1550,1552,1553,1554,1557,1558,1565,1566,1567,1568,1576,1577,
1583,1585,1591,1593,1604,1605,1606,1607,1608,1609,1638,1639,1734,1735,1736,
1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,1751,
1752,1753,1754,1755,1756,1757,1758,1759,1761,1768,1769,1770,1771,1772,1773,
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,
1804,1805,1806,1807,1808,1809,1810,1811,1812,1813,1820,1821,1822,1823,1824,
1827,1828,1829,1830,1831,1832,1833,1834,1839,1840,1841,1842,1843,1844,1845,
1846,1847,1848,1849,1850,1851,1852,1853,1854,1855,1868,1869,1870,1871,1872,
1873,1874,1875,1876,1877,1878,1879,1883,1885,1887,1889,1890,1891,1892,1893,
1894,1895,1897,1898,1899,1900,1901,1902,1903,1912,1913,1914,1915,1920,1921,
1922,1923,1924,1928,1929,1930,1931,1932,1933,1934,1949,1957,1958,1959,1960,
1961,1962,1963,1964,1986,1987,1988,1989,1990,1991,1992,1993,1994,1995,1996,
1997,1998,1999,2000,2001,2002,2003,2004,2005,2006,2007,2008,2009,2010,2011,
2012,2013,2014,2015,2016,2020,2021,2022,2023,2024,2025,2026,2027,2028,2029,
2030,2059,2060,2061,2062,2063,2064,2065,2066,2067,2068,2069,2071,2086,2087,
2089,2090,2093,2094,2095,2096,2097,2098,2099,2100,2101,2102,2104,2167,2168,
2169,2170,2171,2172,2173,2174,2175,2176,2177,2178,2179,2180,2181,2182,2183,
2184,2185,2186,2187,2188,2189,2194,2195,2196,2197,2198,2199,2200,2201,2202,
2203,2204,2205,2206,2207,2208,2209,2210,2211,2212,2213,2214,2215,2216,2217,
2218,2219,2220,2221,2222,2223,2235,2236,2237,2238,2239,2244,2253,2254,2255,
2256,2257,2258,2259,2260,2263,2264,2265,2266,2267,2268,2269,2270,2272,2286,
2288,2293,2294,2295,2296,2297,2298,2299,2301,2303,2305,2309,2310,2311,2312,
2313,2314,2315,2316,2317,2318,2323,2324,2348,2349,2350,2351,2352,2357,2378,
2379,2380,2381,2382,2383,2384,2385,2388,2395,2396,2417,2418,2419,2421,2422,
2423,2424,2427,2428,2429,2430,2431,2432,2433,2442,2443,2444,2446,2447,2448,
2449,2450,2451,2452,2453,2454,2455,2456,2457,2458,2459,2460,2461,2462,2463,
2480,2481,2482,2483,2484,2485,2486,2487,2488,2489,2490,2494,2497,2498,2499,
2500,2511,2518,2519,2520,2521,2522,2536,2538,2539,2540,2541,2542,2543,2544,
2545,2563,2564,2565,2567,2568,2569,2570,2574,2578,2591,2624,2626,2627,2628,
2629,2630,2631,2632,2633,2634,2635,2636,2640,2641,2642,2643,2644,2645,2646,
2647,2648,2649,2650,2651,2652,2653,2654,2661,2668,2669,2670,2671,2672,2697,
2698,2699,2700,2701,2702,2703,2726,2727,2729,2730,2731,2732,2733,2734,2735,
2753,2754,2755,2756,2757,2758,2759,2766,2767,2772,2780,2801,2813,2814,2815,
2817,2818,2819,2820,2821,2822,2823,2824,2825,2826,2827,2828,2831,2842,2843,
2844,2860,2861,2862,2863,2864,2865,2866,2867,2868,2878,2879,2885,2891,2892,
2893,2900],[1,2,3,4,5,6,9,13,14,15,16,17,18,21,22,23,24,25,26,27,28,29,36,37,
41,42,43,44,47,48,49,60,61,63,64,65,66,67,68,69,77,81,82,83,84,90,91,92,93,94,
95,96,97,102,103,104,105,106,114,115,116,119,123,124,125,129,130,131,136,137,
143,144,149,154,155,156,157,158,159,160,161,170,197,198,199,204,255,259,260,
261,262,263,264,265,266,267,268,269,270,278,279,280,281,282,283,284,285,286,
287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,306,320,
327,328,329,333,336,339,340,341,342,362,363,367,368,369,372,373,378,379,383,
384,385,386,405,409,413,414,415,416,438,441,442,443,444,460,463,464,465,466,
480,481,482,483,497,498,499,500,513,514,515,516,671,679,680,681,682,699,700,
701,702,703,704,705,706,707,708,709,710,711,714,715,716,717,718,719,720,721,
722,723,724,725,726,727,728,729,730,731,744,745,746,747,748,749,750,751,752,
753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,
772,773,774,775,776,777,778,779,780,781,782,783,784,796,797,798,825,826,827,
828,843,844,845,849,850,854,855,899,900,901,913,916,917,925,926,935,936,973,
974,979,980,997,998,1028,1029,1229,1230,1231,1247,1248,1249,1250,1255,1256,
1259,1260,1261,1262,1275,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,
1304,1305,1306,1308,1309,1311,1312,1313,1314,1315,1316,1321,1322,1323,1324,
1325,1326,1327,1328,1330,1331,1332,1333,1334,1335,1336,1352,1353,1354,1355,
1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,
1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1383,1386,1387,1388,1389,
1419,1422,1423,1449,1452,1455,1456,1457,1458,1486,1528,1549,1550,1552,1749,
1750,1751,1754,1755,1760,1778,1780,1782,1783,1784,1785,1794,1795,1814,1815,
1816,1817,1849,1850,1851,1852,1853,1854,1855,1858,1859,1860,1864,1865,1866,
1868,1871,1872,1879,1880,1881,1882,1889,1891,1892,1904,1905,1906,1907,1908,
1909,1910,1911,1912,1913,1920,1921,1965,1986,1987,1991,1992,2093,2094,2095,
2096,2097,2098,2099,2182,2183,2184,2190,2191,2192,2204,2205,2208,2209,2228,
2230,2231,2232,2233,2234,2272,2275,2280,2289,2293,2309,2446,2447,2448,2449,
2450,2451,2452,2453,2454,2455,2458,2459,2487,2491,2492,2493,2505,2506,2508,
2509,2553,2570,2641,2642,2643,2644,2645,2646,2647,2648,2662,2713,2731,2734,
2766,2821,2825,2826,2857,2863,2882,2883,2894,2895,2896,2901],[1,3,7,9,13,21,
23,24,30,32,55,57,60,64,67,81,86,87,90,123,126,138,140,146,181,184,186,236,
237,238,249,255,260,282,294,298,303,306,320,334,359,364,439,451,453,494,510,
591,592,597,677,679,684,704,714,757,782,785,797,825,829,831,885,887,888,895,
904,1002,1026,1076,1078,1101,1244,1247,1251,1275,1384,1396,1398,1424,1450,
1510,1529,1540,1549,1550,1614,1775,1815,1925,1968,1970,1971,2018,2095,2101,
2246,2277,2279,2280,2285,2368,2391,2525,2527,2560,2570,2684,2733,2804,2857,
2902],[1,3,5,6,9,10,11,12,13,21,23,24,26,27,28,29,41,42,47,49,60,64,65,66,67,
69,70,71,81,83,84,90,123,124,125,136,137,143,144,154,155,157,159,170,254,255,
256,257,258,260,261,262,281,282,283,284,285,288,290,292,293,294,296,297,298,
301,303,304,305,306,307,308,311,313,319,320,333,339,340,353,354,355,356,357,
358,362,365,438,441,443,480,481,497,498,673,675,679,681,682,691,703,704,705,
706,707,712,713,714,752,754,755,757,759,760,762,767,769,770,772,776,778,779,
782,783,784,789,796,797,798,825,827,828,834,835,849,898,899,908,997,1236,1239,
1241,1247,1249,1250,1259,1260,1273,1274,1275,1276,1277,1278,1279,1280,1281,
1282,1292,1293,1300,1302,1304,1308,1358,1360,1362,1364,1366,1368,1370,1383,
1386,1388,1417,1418,1419,1420,1421,1422,1423,1449,1455,1456,1469,1470,1471,
1524,1545,1547,1549,1550,1551,1764,1768,1778,1782,1785,1810,1814,1815,1817,
1821,1826,1828,1839,1854,1856,1857,1858,1908,1920,1957,1965,1986,2065,2070,
2071,2087,2095,2096,2097,2099,2195,2204,2224,2226,2228,2229,2231,2233,2244,
2245,2251,2252,2260,2280,2286,2288,2425,2428,2444,2450,2451,2452,2458,2464,
2495,2505,2518,2535,2538,2553,2565,2570,2629,2637,2646,2658,2713,2727,2730,
2734,2761,2772,2813,2825,2839,2857,2879,2883,2889,2895,2903],[1,2,3,4,7,9,13,
14,15,19,21,22,23,24,25,30,31,32,33,38,55,57,60,61,62,63,64,67,68,77,81,82,85,
86,87,90,91,92,93,98,99,102,103,107,108,109,123,126,127,129,132,133,138,139,
140,145,146,150,181,182,184,186,188,207,236,237,238,248,249,255,259,260,263,
264,265,268,272,274,276,279,282,294,295,298,299,303,306,320,327,330,334,337,
359,363,364,367,370,374,375,380,396,397,398,402,406,410,439,451,452,453,454,
461,472,473,474,494,495,509,510,522,591,592,597,598,614,616,670,671,677,679,
680,683,684,700,702,704,714,715,716,719,720,731,732,740,748,751,757,758,781,
782,785,786,797,825,826,829,830,831,885,887,888,895,902,904,905,914,921,922,
933,941,942,1002,1003,1026,1033,1054,1076,1077,1078,1079,1101,1112,1222,1225,
1227,1229,1232,1244,1247,1248,1251,1252,1257,1275,1297,1309,1312,1314,1317,
1318,1329,1334,1337,1341,1342,1381,1384,1396,1397,1398,1399,1424,1450,1453,
1510,1518,1529,1531,1540,1541,1549,1550,1555,1572,1573,1614,1615,1643,1644,
1735,1744,1745,1749,1752,1760,1775,1776,1815,1816,1867,1869,1885,1886,1916,
1917,1925,1926,1968,1970,1971,2018,2077,2093,2094,2095,2098,2100,2101,2107,
2170,2191,2246,2277,2279,2280,2285,2291,2300,2368,2391,2392,2446,2456,2510,
2525,2527,2551,2558,2559,2560,2570,2576,2665,2684,2685,2717,2731,2732,2733,
2776,2804,2820,2857,2882,2902,2904],[1,3,5,6,7,8,9,13,21,23,24,26,27,28,29,30,
32,34,35,45,50,51,55,56,57,58,60,64,65,66,67,69,81,83,84,86,87,88,89,90,123,
124,125,126,128,136,137,138,140,141,142,143,144,146,147,148,162,164,171,173,
175,176,179,181,183,184,185,186,187,191,218,220,225,229,231,232,236,237,238,
239,240,241,242,246,249,250,255,260,261,262,281,282,283,288,292,294,296,297,
298,303,306,320,333,334,335,344,345,350,351,359,362,364,438,439,440,445,449,
451,453,455,456,484,486,491,492,494,496,502,507,510,511,512,553,557,559,570,
571,577,579,581,587,591,592,593,594,595,597,599,600,629,630,631,639,646,647,
648,649,658,659,661,677,679,681,682,684,685,686,703,704,705,714,754,757,759,
767,769,776,778,782,783,784,785,787,796,797,798,825,827,828,829,831,832,833,
851,879,885,886,887,888,889,890,895,903,904,906,999,1002,1004,1012,1014,1021,
1023,1026,1027,1070,1074,1076,1078,1080,1081,1094,1099,1101,1102,1142,1143,
1147,1155,1156,1159,1160,1169,1175,1176,1243,1244,1245,1247,1249,1250,1251,
1253,1254,1264,1269,1275,1302,1308,1360,1383,1384,1385,1390,1394,1396,1398,
1400,1401,1422,1424,1449,1450,1451,1459,1461,1466,1467,1501,1503,1504,1507,
1510,1511,1512,1513,1529,1535,1539,1540,1549,1550,1610,1614,1616,1632,1634,
1673,1675,1682,1684,1694,1696,1772,1775,1777,1778,1779,1786,1792,1814,1815,
1817,1922,1925,1927,1935,1937,1944,1946,1967,1968,1969,1970,1971,1972,1973,
1988,2018,2049,2072,2082,2095,2096,2097,2099,2101,2102,2133,2200,2231,2246,
2277,2279,2280,2285,2325,2362,2364,2365,2368,2369,2370,2371,2389,2391,2393,
2450,2461,2524,2525,2526,2527,2528,2550,2552,2553,2560,2561,2562,2570,2603,
2616,2680,2682,2684,2686,2687,2721,2733,2734,2735,2791,2804,2824,2857,2858,
2883,2902,2905],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,18,21,22,23,24,25,26,
27,28,29,36,37,41,42,43,44,47,48,49,60,61,63,64,65,66,67,68,69,70,71,72,73,75,
76,77,78,81,82,83,84,90,91,92,93,94,95,96,97,102,103,104,105,106,114,115,116,
119,123,124,125,129,130,131,136,137,143,144,149,154,155,156,157,158,159,160,
161,170,197,198,199,204,254,255,256,257,258,259,260,261,262,263,264,265,266,
267,268,269,270,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,
293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,
312,313,314,319,320,321,322,327,328,329,333,336,339,340,341,342,353,354,355,
356,357,358,362,363,365,367,368,369,372,373,378,379,383,384,385,386,405,409,
413,414,415,416,438,441,442,443,444,460,463,464,465,466,480,481,482,483,497,
498,499,500,513,514,515,516,671,672,673,674,675,676,679,680,681,682,687,690,
691,692,696,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,
715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,744,745,
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,
784,788,789,790,793,796,797,798,799,800,801,804,805,822,825,826,827,828,834,
835,843,844,845,849,850,854,855,871,872,874,875,876,880,882,898,899,900,901,
907,908,909,913,916,917,925,926,935,936,973,974,979,980,997,998,1028,1029,
1229,1230,1231,1234,1235,1236,1237,1238,1239,1240,1241,1242,1247,1248,1249,
1250,1255,1256,1259,1260,1261,1262,1273,1274,1275,1276,1277,1278,1279,1280,
1281,1282,1286,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,
1304,1305,1306,1307,1308,1309,1311,1312,1313,1314,1315,1316,1321,1322,1323,
1324,1325,1326,1327,1328,1330,1331,1332,1333,1334,1335,1336,1352,1353,1354,
1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,
1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1383,1386,1387,1388,
1389,1405,1417,1418,1419,1420,1421,1422,1423,1449,1452,1455,1456,1457,1458,
1469,1470,1471,1472,1473,1474,1475,1480,1481,1486,1521,1524,1525,1528,1543,
1544,1545,1547,1549,1550,1551,1552,1749,1750,1751,1754,1755,1760,1761,1762,
1763,1764,1765,1766,1767,1768,1778,1780,1782,1783,1784,1785,1794,1795,1808,
1809,1810,1811,1812,1814,1815,1816,1817,1818,1819,1820,1821,1822,1825,1826,
1827,1828,1829,1839,1840,1841,1846,1849,1850,1851,1852,1853,1854,1855,1856,
1857,1858,1859,1860,1864,1865,1866,1868,1871,1872,1879,1880,1881,1882,1889,
1891,1892,1904,1905,1906,1907,1908,1909,1910,1911,1912,1913,1920,1921,1957,
1958,1959,1962,1965,1966,1986,1987,1991,1992,2008,2009,2014,2020,2021,2060,
2065,2066,2070,2071,2086,2087,2089,2090,2093,2094,2095,2096,2097,2098,2099,
2103,2182,2183,2184,2190,2191,2192,2193,2194,2195,2196,2204,2205,2208,2209,
2222,2223,2224,2225,2226,2227,2228,2229,2230,2231,2232,2233,2234,2235,2244,
2245,2251,2252,2253,2260,2263,2272,2274,2275,2280,2286,2288,2289,2293,2309,
2348,2418,2420,2425,2426,2428,2429,2430,2442,2443,2444,2446,2447,2448,2449,
2450,2451,2452,2453,2454,2455,2458,2459,2464,2487,2491,2492,2493,2494,2495,
2496,2501,2502,2503,2504,2505,2506,2507,2508,2509,2518,2519,2520,2523,2535,
2538,2539,2540,2553,2563,2564,2565,2567,2570,2625,2629,2630,2631,2637,2640,
2641,2642,2643,2644,2645,2646,2647,2648,2656,2658,2662,2663,2668,2697,2713,
2726,2727,2730,2731,2734,2756,2760,2761,2762,2766,2772,2813,2814,2815,2817,
2821,2825,2826,2832,2839,2842,2857,2860,2863,2879,2882,2883,2889,2892,2894,
2895,2896,2898,2901,2903,2906],[1,3,7,9,10,11,12,13,21,23,24,30,32,55,57,60,
64,67,70,71,74,80,81,86,87,90,123,126,138,140,146,181,184,186,236,237,238,249,
254,255,256,257,258,260,282,294,298,303,304,305,306,307,308,311,313,315,317,
319,320,325,326,334,359,360,364,365,366,439,451,453,494,510,591,592,597,673,
675,677,678,679,684,691,694,695,698,704,712,713,714,757,782,785,789,791,794,
797,808,811,815,817,819,820,823,825,829,831,838,839,840,842,885,887,888,891,
893,894,895,898,904,908,911,1002,1026,1076,1078,1101,1236,1239,1241,1244,1247,
1251,1275,1276,1278,1279,1280,1281,1282,1288,1290,1310,1384,1396,1398,1407,
1410,1412,1415,1424,1425,1439,1442,1444,1445,1446,1450,1510,1522,1524,1527,
1529,1540,1545,1549,1550,1551,1614,1764,1775,1815,1821,1823,1826,1828,1830,
1833,1835,1836,1837,1838,1862,1925,1952,1955,1968,1970,1971,1974,1980,1982,
1984,2017,2018,2062,2065,2067,2070,2095,2101,2237,2240,2242,2246,2247,2249,
2250,2256,2261,2273,2276,2277,2278,2279,2280,2282,2285,2286,2287,2288,2346,
2368,2391,2421,2425,2514,2525,2527,2531,2532,2533,2534,2537,2560,2565,2569,
2570,2638,2655,2657,2658,2660,2684,2691,2695,2733,2764,2765,2771,2772,2804,
2834,2844,2857,2874,2889,2902,2907],[1,2,3,4,5,6,7,8,9,13,14,15,16,17,18,19,
20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,45,50,51,55,56,
57,58,60,61,62,63,64,65,66,67,68,69,77,81,82,83,84,85,86,87,88,89,90,91,92,93,
94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,117,
120,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,
140,141,142,143,144,145,146,147,148,149,150,151,152,153,162,163,164,165,171,
172,173,175,176,179,181,182,183,184,185,186,187,188,189,190,191,192,200,205,
207,208,218,220,225,229,231,232,236,237,238,239,240,241,242,246,248,249,250,
255,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,
277,278,279,280,281,282,283,288,289,292,294,295,296,297,298,299,300,303,306,
320,327,328,329,330,331,333,334,335,336,337,338,343,344,345,350,351,359,362,
363,364,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,387,
388,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,
409,410,411,412,417,418,419,424,425,426,427,428,438,439,440,445,446,449,451,
452,453,454,455,456,457,460,461,462,467,468,471,472,473,474,475,476,477,478,
479,484,485,486,491,492,494,495,496,501,502,507,509,510,511,512,517,522,523,
524,525,553,554,557,559,561,570,571,574,577,578,579,581,587,591,592,593,594,
595,597,598,599,600,607,610,614,615,616,617,629,630,631,637,639,646,647,648,
649,658,659,660,661,670,671,677,679,680,681,682,683,684,685,686,699,700,701,
702,703,704,705,708,714,715,716,717,718,719,720,721,722,723,724,727,731,732,
734,736,738,740,741,742,743,746,748,749,750,751,754,757,758,759,767,768,769,
774,776,777,778,781,782,783,784,785,786,787,796,797,798,825,826,827,828,829,
830,831,832,833,843,846,851,856,879,885,886,887,888,889,890,895,900,902,903,
904,905,906,913,914,915,918,920,921,922,923,924,927,928,931,932,933,934,937,
940,941,942,943,944,952,953,954,959,961,962,963,964,965,966,969,970,971,972,
975,981,999,1002,1003,1004,1012,1013,1014,1015,1021,1022,1023,1026,1027,1030,
1033,1034,1035,1043,1044,1045,1051,1052,1053,1054,1055,1070,1071,1074,1076,
1077,1078,1079,1080,1081,1082,1093,1094,1099,1101,1102,1107,1112,1113,1142,
1143,1147,1148,1155,1156,1159,1160,1169,1170,1175,1176,1181,1183,1187,1188,
1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,1243,1244,1245,
1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,1263,1264,1269,
1275,1295,1297,1298,1299,1302,1308,1309,1311,1312,1313,1314,1315,1316,1317,
1318,1319,1320,1323,1324,1327,1328,1329,1334,1335,1336,1337,1338,1339,1340,
1341,1342,1343,1344,1348,1354,1355,1360,1361,1380,1381,1382,1383,1384,1385,
1390,1391,1394,1396,1397,1398,1399,1400,1401,1402,1422,1424,1449,1450,1451,
1452,1453,1454,1459,1460,1461,1466,1467,1501,1503,1504,1507,1510,1511,1512,
1513,1518,1529,1530,1531,1532,1535,1536,1539,1540,1541,1549,1550,1553,1555,
1556,1559,1560,1563,1564,1569,1571,1572,1573,1574,1575,1578,1579,1582,1610,
1611,1614,1615,1616,1632,1634,1640,1643,1644,1645,1646,1659,1665,1673,1674,
1675,1676,1682,1683,1684,1694,1696,1703,1734,1735,1736,1739,1741,1743,1744,
1745,1746,1747,1748,1749,1750,1751,1752,1753,1756,1760,1772,1775,1776,1777,
1778,1779,1780,1781,1786,1787,1792,1796,1814,1815,1816,1817,1850,1859,1865,
1867,1868,1869,1870,1873,1874,1877,1878,1883,1884,1885,1886,1887,1888,1889,
1890,1893,1899,1900,1914,1916,1917,1918,1919,1922,1925,1926,1927,1935,1936,
1937,1938,1944,1945,1946,1967,1968,1969,1970,1971,1972,1973,1988,1993,2018,
2049,2053,2072,2074,2076,2077,2082,2085,2093,2094,2095,2096,2097,2098,2099,
2100,2101,2102,2105,2107,2108,2117,2118,2121,2122,2133,2134,2141,2142,2168,
2170,2171,2175,2176,2180,2181,2182,2185,2190,2191,2192,2200,2201,2231,2232,
2246,2277,2279,2280,2285,2290,2291,2292,2294,2300,2303,2304,2307,2308,2319,
2320,2325,2326,2362,2364,2365,2368,2369,2370,2371,2389,2391,2392,2393,2436,
2446,2447,2448,2449,2450,2455,2456,2457,2460,2461,2466,2481,2492,2510,2524,
2525,2526,2527,2528,2550,2551,2552,2553,2558,2559,2560,2561,2562,2570,2572,
2575,2576,2577,2603,2616,2617,2641,2649,2664,2665,2666,2680,2682,2684,2685,
2686,2687,2710,2717,2718,2719,2720,2721,2731,2732,2733,2734,2735,2738,2774,
2776,2777,2791,2792,2804,2806,2820,2821,2822,2823,2824,2846,2857,2858,2862,
2882,2883,2894,2902,2904,2905,2908],[1,3,5,6,7,8,9,13,21,23,24,26,27,28,29,30,
32,34,35,41,42,45,46,47,49,50,51,52,53,55,56,57,58,59,60,64,65,66,67,69,81,83,
84,86,87,88,89,90,123,124,125,126,128,136,137,138,140,141,142,143,144,146,147,
148,154,155,157,159,162,164,166,168,170,171,173,174,175,176,177,178,179,180,
181,183,184,185,186,187,191,193,194,213,214,215,218,219,220,221,222,224,225,
226,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,
246,247,249,250,252,253,255,260,261,262,281,282,283,284,285,288,290,292,293,
294,296,297,298,301,303,306,320,333,334,335,339,340,344,345,347,348,350,351,
352,359,362,364,438,439,440,441,443,445,447,449,450,451,453,455,456,458,480,
481,484,486,487,488,491,492,493,494,496,497,498,502,503,504,507,508,510,511,
512,528,530,532,534,540,542,547,553,555,557,558,559,560,564,568,569,570,571,
572,573,575,577,579,580,581,582,584,587,588,591,592,593,594,595,596,597,599,
600,601,602,622,623,624,625,626,627,629,630,631,632,633,634,635,636,639,640,
641,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,661,
662,663,664,666,667,668,669,677,679,681,682,684,685,686,703,704,705,706,707,
714,752,754,755,757,759,760,762,767,769,770,772,776,778,779,782,783,784,785,
787,796,797,798,825,827,828,829,831,832,833,849,851,853,860,861,863,864,879,
885,886,887,888,889,890,895,899,903,904,906,997,999,1000,1002,1004,1005,1009,
1012,1014,1016,1018,1021,1023,1024,1026,1027,1058,1060,1061,1063,1070,1072,
1074,1075,1076,1078,1080,1081,1083,1086,1088,1094,1095,1096,1099,1100,1101,
1102,1116,1118,1119,1121,1123,1130,1132,1133,1136,1142,1143,1144,1145,1146,
1147,1149,1151,1152,1153,1155,1156,1157,1158,1159,1160,1161,1163,1164,1165,
1169,1171,1173,1174,1175,1176,1177,1178,1191,1192,1193,1195,1196,1197,1198,
1199,1200,1201,1203,1208,1209,1214,1215,1216,1217,1218,1221,1243,1244,1245,
1247,1249,1250,1251,1253,1254,1259,1260,1264,1265,1267,1269,1270,1271,1275,
1300,1302,1304,1308,1358,1360,1362,1364,1366,1368,1370,1383,1384,1385,1386,
1388,1390,1392,1394,1395,1396,1398,1400,1401,1403,1419,1422,1423,1424,1449,
1450,1451,1455,1456,1459,1461,1462,1463,1466,1467,1468,1490,1499,1501,1502,
1503,1504,1505,1506,1507,1510,1511,1512,1513,1514,1515,1529,1533,1535,1537,
1539,1540,1549,1550,1608,1610,1612,1614,1616,1617,1619,1625,1627,1632,1633,
1634,1635,1637,1666,1668,1673,1675,1677,1679,1682,1684,1685,1688,1690,1694,
1695,1696,1697,1699,1705,1706,1707,1709,1710,1713,1714,1715,1719,1720,1721,
1722,1723,1724,1769,1772,1773,1775,1777,1778,1779,1782,1785,1786,1788,1790,
1792,1793,1801,1803,1814,1815,1817,1854,1858,1908,1920,1922,1923,1925,1927,
1928,1932,1935,1937,1939,1941,1944,1946,1947,1965,1967,1968,1969,1970,1971,
1972,1973,1986,1988,1989,1996,1998,1999,2001,2018,2042,2043,2044,2048,2049,
2050,2051,2052,2072,2078,2082,2083,2095,2096,2097,2099,2101,2102,2129,2133,
2135,2137,2138,2147,2149,2151,2153,2163,2164,2197,2200,2203,2204,2206,2212,
2218,2228,2231,2233,2246,2277,2279,2280,2285,2323,2325,2327,2329,2331,2337,
2339,2360,2362,2363,2364,2365,2366,2367,2368,2369,2370,2371,2372,2373,2378,
2389,2391,2393,2411,2434,2438,2450,2451,2452,2458,2461,2463,2472,2497,2505,
2524,2525,2526,2527,2528,2550,2552,2553,2560,2561,2562,2570,2586,2599,2600,
2601,2603,2604,2605,2606,2614,2616,2618,2646,2652,2677,2680,2681,2682,2683,
2684,2686,2687,2688,2690,2708,2711,2713,2721,2722,2723,2733,2734,2735,2743,
2749,2787,2788,2791,2793,2795,2804,2811,2824,2825,2827,2849,2857,2858,2867,
2883,2884,2895,2902,2905,2909],[1,3,5,6,7,8,9,13,21,23,24,26,27,28,29,30,32,
34,35,43,44,45,48,50,51,54,55,56,57,58,60,64,65,66,67,69,81,83,84,86,87,88,89,
90,123,124,125,126,128,136,137,138,140,141,142,143,144,146,147,148,156,158,
160,161,162,164,167,169,171,173,175,176,179,181,183,184,185,186,187,191,195,
196,216,217,218,220,223,225,227,229,231,232,236,237,238,239,240,241,242,246,
249,250,251,255,260,261,262,281,282,283,286,287,288,291,292,294,296,297,298,
302,303,306,320,333,334,335,341,342,344,345,346,349,350,351,359,362,364,438,
439,440,442,444,445,448,449,451,453,455,456,459,482,483,484,486,489,490,491,
492,494,496,499,500,502,505,506,507,510,511,512,536,538,544,546,549,551,553,
556,557,559,565,570,571,576,577,579,581,583,587,591,592,593,594,595,597,599,
600,603,628,629,630,631,638,639,642,646,647,648,649,658,659,661,665,677,679,
681,682,684,685,686,703,704,705,709,710,711,714,753,754,756,757,759,764,765,
767,769,771,773,776,778,782,783,784,785,787,796,797,798,825,827,828,829,831,
832,833,850,851,852,866,867,869,870,879,885,886,887,888,889,890,895,901,903,
904,906,998,999,1001,1002,1004,1007,1011,1012,1014,1017,1019,1021,1023,1026,
1027,1064,1066,1067,1069,1070,1073,1074,1076,1078,1080,1081,1084,1090,1092,
1094,1097,1098,1099,1101,1102,1126,1128,1135,1137,1139,1142,1143,1147,1150,
1155,1156,1159,1160,1162,1166,1169,1172,1175,1176,1204,1207,1210,1212,1243,
1244,1245,1247,1249,1250,1251,1253,1254,1261,1262,1264,1266,1268,1269,1272,
1275,1301,1302,1303,1308,1359,1360,1363,1372,1374,1376,1378,1383,1384,1385,
1387,1389,1390,1393,1394,1396,1398,1400,1401,1404,1422,1424,1449,1450,1451,
1457,1458,1459,1461,1464,1465,1466,1467,1491,1501,1503,1504,1507,1510,1511,
1512,1513,1529,1534,1535,1538,1539,1540,1542,1549,1550,1609,1610,1613,1614,
1616,1621,1624,1630,1632,1634,1636,1670,1671,1673,1675,1678,1680,1682,1684,
1692,1694,1696,1698,1711,1717,1771,1772,1774,1775,1777,1778,1779,1783,1784,
1786,1789,1791,1792,1806,1807,1814,1815,1817,1855,1860,1910,1921,1922,1924,
1925,1927,1930,1934,1935,1937,1940,1942,1944,1946,1967,1968,1969,1970,1971,
1972,1973,1987,1988,1990,2002,2004,2005,2007,2018,2049,2054,2072,2080,2082,
2084,2095,2096,2097,2099,2101,2102,2131,2133,2136,2155,2157,2159,2161,2199,
2200,2202,2205,2207,2214,2216,2230,2231,2234,2246,2277,2279,2280,2285,2324,
2325,2328,2333,2335,2341,2343,2362,2364,2365,2368,2369,2370,2371,2379,2389,
2391,2393,2440,2450,2453,2454,2459,2461,2462,2474,2499,2508,2524,2525,2526,
2527,2528,2550,2552,2553,2560,2561,2562,2570,2588,2603,2615,2616,2619,2647,
2654,2679,2680,2682,2684,2686,2687,2689,2712,2721,2724,2725,2733,2734,2735,
2751,2790,2791,2794,2804,2812,2824,2826,2828,2851,2857,2858,2868,2883,2896,
2902,2905,2910],[1,2,3,4,7,9,10,11,12,13,14,15,19,21,22,23,24,25,30,31,32,33,
38,55,57,60,61,62,63,64,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,85,86,87,
90,91,92,93,98,99,102,103,107,108,109,123,126,127,129,132,133,138,139,140,145,
146,150,181,182,184,186,188,207,236,237,238,248,249,254,255,256,257,258,259,
260,263,264,265,268,272,274,276,279,282,294,295,298,299,303,304,305,306,307,
308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,
327,330,332,334,337,359,360,363,364,365,366,367,370,374,375,380,396,397,398,
402,406,410,439,451,452,453,454,461,472,473,474,494,495,509,510,522,591,592,
597,598,614,616,670,671,672,673,674,675,676,677,678,679,680,683,684,687,688,
689,690,691,692,693,694,695,696,697,698,700,702,704,712,713,714,715,716,719,
720,731,732,740,748,751,757,758,781,782,785,786,788,789,790,791,792,793,794,
795,797,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,
816,817,818,819,820,821,822,823,824,825,826,829,830,831,837,838,839,840,841,
842,885,887,888,891,893,894,895,898,902,904,905,907,908,909,910,911,912,914,
921,922,933,941,942,1002,1003,1026,1033,1054,1076,1077,1078,1079,1101,1112,
1222,1225,1227,1229,1232,1234,1235,1236,1237,1238,1239,1240,1241,1242,1244,
1246,1247,1248,1251,1252,1257,1275,1276,1278,1279,1280,1281,1282,1283,1284,
1285,1286,1287,1288,1289,1290,1291,1297,1307,1309,1310,1312,1314,1317,1318,
1329,1334,1337,1341,1342,1381,1384,1396,1397,1398,1399,1405,1406,1407,1408,
1409,1410,1411,1412,1413,1414,1415,1416,1424,1425,1428,1429,1430,1431,1432,
1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,
1448,1450,1453,1484,1485,1510,1516,1517,1518,1521,1522,1523,1524,1525,1526,
1527,1529,1531,1540,1541,1543,1544,1545,1546,1549,1550,1551,1555,1572,1573,
1614,1615,1643,1644,1735,1744,1745,1749,1752,1760,1761,1762,1763,1764,1765,
1766,1767,1775,1776,1815,1816,1818,1820,1821,1822,1823,1824,1825,1826,1827,
1828,1829,1830,1831,1832,1833,1834,1835,1836,1837,1838,1861,1862,1863,1867,
1869,1885,1886,1916,1917,1925,1926,1949,1950,1951,1952,1953,1954,1955,1956,
1968,1970,1971,1974,1976,1977,1978,1979,1980,1981,1982,1983,1984,1985,2017,
2018,2059,2060,2061,2062,2063,2064,2065,2066,2067,2068,2069,2070,2077,2086,
2093,2094,2095,2098,2100,2101,2103,2107,2170,2191,2193,2235,2236,2237,2238,
2239,2240,2241,2242,2243,2246,2247,2249,2250,2253,2254,2255,2256,2257,2258,
2259,2261,2262,2273,2276,2277,2278,2279,2280,2281,2282,2283,2285,2286,2287,
2288,2291,2300,2345,2346,2347,2368,2374,2375,2376,2377,2390,2391,2392,2417,
2418,2419,2420,2421,2422,2423,2424,2425,2426,2446,2456,2510,2511,2512,2513,
2514,2515,2516,2517,2525,2527,2529,2531,2532,2533,2534,2536,2537,2551,2554,
2558,2559,2560,2563,2564,2565,2566,2567,2568,2569,2570,2576,2590,2624,2625,
2638,2655,2657,2658,2660,2665,2667,2684,2685,2691,2694,2695,2696,2717,2726,
2729,2731,2732,2733,2763,2764,2765,2768,2769,2770,2771,2772,2776,2800,2804,
2820,2833,2834,2835,2840,2842,2843,2844,2857,2869,2874,2878,2882,2889,2898,
2902,2904,2907,2911],[1,2,3,4,5,6,7,8,9,13,14,15,16,17,18,19,20,21,22,23,24,
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,
51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,77,81,82,83,84,85,86,
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,
242,243,244,245,246,247,248,249,250,251,252,253,255,259,260,261,262,263,264,
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,
303,306,320,327,328,329,330,331,333,334,335,336,337,338,339,340,341,342,343,
344,345,346,347,348,349,350,351,352,359,362,363,364,367,368,369,370,371,372,
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,
658,659,660,661,662,663,664,665,666,667,668,669,670,671,677,679,680,681,682,
683,684,685,686,699,700,701,702,703,704,705,706,707,708,709,710,711,714,715,
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,
773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,796,797,798,825,
826,827,828,829,830,831,832,833,843,844,845,846,847,848,849,850,851,852,853,
854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,879,885,
886,887,888,889,890,895,899,900,901,902,903,904,905,906,913,914,915,916,917,
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,
1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,1243,
1244,1245,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,
1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,1275,1294,
1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1308,1309,1311,
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,
1402,1403,1404,1419,1422,1423,1424,1449,1450,1451,1452,1453,1454,1455,1456,
1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1486,1487,1488,
1489,1490,1491,1492,1493,1499,1501,1502,1503,1504,1505,1506,1507,1510,1511,
1512,1513,1514,1515,1518,1528,1529,1530,1531,1532,1533,1534,1535,1536,1537,
1538,1539,1540,1541,1542,1549,1550,1552,1553,1554,1555,1556,1557,1558,1559,
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,
1755,1756,1757,1758,1759,1760,1769,1771,1772,1773,1774,1775,1776,1777,1778,
1779,1780,1781,1782,1783,1784,1785,1786,1787,1788,1789,1790,1791,1792,1793,
1794,1795,1796,1797,1798,1799,1800,1801,1802,1803,1804,1805,1806,1807,1814,
1815,1816,1817,1849,1850,1851,1852,1853,1854,1855,1858,1859,1860,1864,1865,
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,
1941,1942,1943,1944,1945,1946,1947,1948,1965,1967,1968,1969,1970,1971,1972,
1973,1986,1987,1988,1989,1990,1991,1992,1993,1994,1995,1996,1997,1998,1999,
2000,2001,2002,2003,2004,2005,2006,2007,2018,2042,2043,2044,2048,2049,2050,
2051,2052,2053,2054,2072,2073,2074,2075,2076,2077,2078,2079,2080,2081,2082,
2083,2084,2085,2093,2094,2095,2096,2097,2098,2099,2100,2101,2102,2104,2105,
2106,2107,2108,2109,2110,2111,2112,2113,2114,2115,2116,2117,2118,2119,2120,
2121,2122,2123,2124,2125,2126,2127,2128,2129,2130,2131,2132,2133,2134,2135,
2136,2137,2138,2139,2140,2141,2142,2143,2144,2145,2146,2147,2148,2149,2150,
2151,2152,2153,2154,2155,2156,2157,2158,2159,2160,2161,2162,2163,2164,2165,
2166,2167,2168,2169,2170,2171,2172,2173,2174,2175,2176,2177,2178,2179,2180,
2181,2182,2183,2184,2185,2186,2187,2188,2189,2190,2191,2192,2197,2199,2200,
2201,2202,2203,2204,2205,2206,2207,2208,2209,2210,2211,2212,2213,2214,2215,
2216,2217,2218,2219,2220,2221,2228,2230,2231,2232,2233,2234,2246,2272,2275,
2277,2279,2280,2285,2289,2290,2291,2292,2293,2294,2295,2296,2297,2298,2299,
2300,2301,2302,2303,2304,2305,2306,2307,2308,2309,2310,2311,2312,2313,2314,
2315,2316,2317,2318,2319,2320,2321,2322,2323,2324,2325,2326,2327,2328,2329,
2330,2331,2332,2333,2334,2335,2336,2337,2338,2339,2340,2341,2342,2343,2344,
2360,2362,2363,2364,2365,2366,2367,2368,2369,2370,2371,2372,2373,2378,2379,
2380,2381,2389,2391,2392,2393,2411,2414,2434,2435,2436,2437,2438,2439,2440,
2441,2446,2447,2448,2449,2450,2451,2452,2453,2454,2455,2456,2457,2458,2459,
2460,2461,2462,2463,2465,2466,2467,2468,2469,2470,2471,2472,2473,2474,2475,
2476,2477,2478,2479,2480,2481,2482,2483,2484,2485,2486,2487,2488,2489,2490,
2491,2492,2493,2497,2498,2499,2500,2505,2506,2508,2509,2510,2524,2525,2526,
2527,2528,2550,2551,2552,2553,2558,2559,2560,2561,2562,2570,2571,2572,2573,
2574,2575,2576,2577,2578,2579,2580,2581,2582,2583,2584,2585,2586,2587,2588,
2589,2599,2600,2601,2603,2604,2605,2606,2614,2615,2616,2617,2618,2619,2639,
2641,2642,2643,2644,2645,2646,2647,2648,2649,2650,2651,2652,2653,2654,2659,
2661,2662,2664,2665,2666,2677,2679,2680,2681,2682,2683,2684,2685,2686,2687,
2688,2689,2690,2708,2710,2711,2712,2713,2717,2718,2719,2720,2721,2722,2723,
2724,2725,2731,2732,2733,2734,2735,2736,2737,2738,2739,2743,2749,2750,2751,
2752,2766,2767,2773,2774,2775,2776,2777,2778,2779,2787,2788,2790,2791,2792,
2793,2794,2795,2803,2804,2806,2807,2808,2809,2810,2811,2812,2820,2821,2822,
2823,2824,2825,2826,2827,2828,2829,2845,2846,2847,2849,2850,2851,2852,2857,
2858,2859,2862,2863,2864,2865,2866,2867,2868,2880,2882,2883,2884,2885,2894,
2895,2896,2901,2902,2904,2905,2908,2909,2910,2912],[1,3,5,6,7,8,9,10,11,12,13,
21,23,24,26,27,28,29,30,32,34,35,41,42,45,46,47,49,50,51,52,53,55,56,57,58,59,
60,64,65,66,67,69,70,71,74,80,81,83,84,86,87,88,89,90,123,124,125,126,128,136,
137,138,140,141,142,143,144,146,147,148,154,155,157,159,162,164,166,168,170,
171,173,174,175,176,177,178,179,180,181,183,184,185,186,187,191,193,194,213,
214,215,218,219,220,221,222,224,225,226,228,229,230,231,232,233,234,235,236,
237,238,239,240,241,242,243,244,245,246,247,249,250,252,253,254,255,256,257,
258,260,261,262,281,282,283,284,285,288,290,292,293,294,296,297,298,301,303,
304,305,306,307,308,311,313,315,317,319,320,325,326,333,334,335,339,340,344,
345,347,348,350,351,352,353,354,355,356,357,358,359,360,361,362,364,365,366,
438,439,440,441,443,445,447,449,450,451,453,455,456,458,480,481,484,486,487,
488,491,492,493,494,496,497,498,502,503,504,507,508,510,511,512,528,530,532,
534,540,542,547,553,555,557,558,559,560,564,568,569,570,571,572,573,575,577,
579,580,581,582,584,587,588,591,592,593,594,595,596,597,599,600,601,602,622,
623,624,625,626,627,629,630,631,632,633,634,635,636,639,640,641,643,644,645,
646,647,648,649,650,651,652,653,654,655,656,657,658,659,661,662,663,664,666,
667,668,669,673,675,677,678,679,681,682,684,685,686,691,694,695,698,703,704,
705,706,707,712,713,714,752,754,755,757,759,760,762,767,769,770,772,776,778,
779,782,783,784,785,787,789,791,794,796,797,798,808,811,815,817,819,820,823,
825,827,828,829,831,832,833,834,835,836,838,839,840,842,849,851,853,860,861,
863,864,873,878,879,884,885,886,887,888,889,890,891,892,893,894,895,896,897,
898,899,903,904,906,908,911,997,999,1000,1002,1004,1005,1009,1012,1014,1016,
1018,1021,1023,1024,1026,1027,1058,1060,1061,1063,1070,1072,1074,1075,1076,
1078,1080,1081,1083,1086,1088,1094,1095,1096,1099,1100,1101,1102,1116,1118,
1119,1121,1123,1130,1132,1133,1136,1142,1143,1144,1145,1146,1147,1149,1151,
1152,1153,1155,1156,1157,1158,1159,1160,1161,1163,1164,1165,1169,1171,1173,
1174,1175,1176,1177,1178,1191,1192,1193,1195,1196,1197,1198,1199,1200,1201,
1203,1208,1209,1214,1215,1216,1217,1218,1221,1236,1239,1241,1243,1244,1245,
1247,1249,1250,1251,1253,1254,1259,1260,1264,1265,1267,1269,1270,1271,1273,
1274,1275,1276,1277,1278,1279,1280,1281,1282,1288,1290,1292,1293,1300,1302,
1304,1308,1310,1358,1360,1362,1364,1366,1368,1370,1383,1384,1385,1386,1388,
1390,1392,1394,1395,1396,1398,1400,1401,1403,1407,1410,1412,1415,1417,1418,
1419,1420,1421,1422,1423,1424,1425,1426,1427,1439,1442,1444,1445,1446,1449,
1450,1451,1455,1456,1459,1461,1462,1463,1466,1467,1468,1469,1470,1471,1476,
1478,1490,1496,1497,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1510,
1511,1512,1513,1514,1515,1522,1524,1527,1529,1533,1535,1537,1539,1540,1545,
1547,1548,1549,1550,1551,1608,1610,1612,1614,1616,1617,1619,1625,1627,1632,
1633,1634,1635,1637,1666,1668,1673,1675,1677,1679,1682,1684,1685,1688,1690,
1694,1695,1696,1697,1699,1705,1706,1707,1709,1710,1713,1714,1715,1719,1720,
1721,1722,1723,1724,1764,1768,1769,1770,1772,1773,1775,1777,1778,1779,1782,
1785,1786,1788,1790,1792,1793,1801,1803,1810,1814,1815,1817,1821,1823,1826,
1828,1830,1833,1835,1836,1837,1838,1839,1844,1845,1848,1854,1856,1857,1858,
1862,1908,1920,1922,1923,1925,1927,1928,1932,1935,1937,1939,1941,1944,1946,
1947,1952,1955,1957,1960,1963,1965,1967,1968,1969,1970,1971,1972,1973,1974,
1980,1982,1984,1986,1988,1989,1996,1998,1999,2001,2010,2013,2015,2017,2018,
2019,2024,2031,2033,2034,2037,2038,2039,2041,2042,2043,2044,2045,2046,2047,
2048,2049,2050,2051,2052,2055,2056,2057,2058,2062,2065,2067,2070,2071,2072,
2078,2082,2083,2087,2088,2095,2096,2097,2099,2101,2102,2129,2133,2135,2137,
2138,2147,2149,2151,2153,2163,2164,2195,2197,2200,2203,2204,2206,2212,2218,
2224,2226,2228,2229,2231,2233,2237,2240,2242,2244,2245,2246,2247,2248,2249,
2250,2251,2252,2256,2260,2261,2265,2271,2273,2276,2277,2278,2279,2280,2282,
2284,2285,2286,2287,2288,2323,2325,2327,2329,2331,2337,2339,2346,2349,2353,
2355,2358,2360,2361,2362,2363,2364,2365,2366,2367,2368,2369,2370,2371,2372,
2373,2378,2386,2389,2391,2393,2398,2405,2406,2407,2411,2421,2425,2427,2428,
2433,2434,2438,2444,2450,2451,2452,2458,2461,2463,2464,2472,2495,2497,2505,
2514,2518,2521,2524,2525,2526,2527,2528,2531,2532,2533,2534,2535,2537,2538,
2541,2544,2546,2547,2548,2549,2550,2552,2553,2556,2560,2561,2562,2565,2569,
2570,2586,2592,2597,2599,2600,2601,2602,2603,2604,2605,2606,2609,2611,2613,
2614,2616,2618,2621,2627,2629,2633,2637,2638,2646,2652,2655,2657,2658,2660,
2669,2673,2675,2677,2678,2680,2681,2682,2683,2684,2686,2687,2688,2690,2691,
2692,2693,2695,2698,2704,2706,2707,2708,2709,2711,2713,2715,2721,2722,2723,
2727,2728,2730,2733,2734,2735,2741,2743,2749,2754,2761,2764,2765,2771,2772,
2781,2787,2788,2791,2793,2795,2796,2797,2798,2799,2802,2804,2811,2813,2819,
2824,2825,2827,2834,2836,2837,2838,2839,2841,2844,2849,2853,2855,2857,2858,
2867,2871,2872,2874,2875,2879,2883,2884,2887,2889,2891,2895,2899,2902,2903,
2905,2907,2909,2913],[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,
2015,2016,2017,2018,2019,2020,2021,2022,2023,2024,2025,2026,2027,2028,2029,
2030,2031,2032,2033,2034,2035,2036,2037,2038,2039,2040,2041,2042,2043,2044,
2045,2046,2047,2048,2049,2050,2051,2052,2053,2054,2055,2056,2057,2058,2059,
2060,2061,2062,2063,2064,2065,2066,2067,2068,2069,2070,2071,2072,2073,2074,
2075,2076,2077,2078,2079,2080,2081,2082,2083,2084,2085,2086,2087,2088,2089,
2090,2091,2092,2093,2094,2095,2096,2097,2098,2099,2100,2101,2102,2103,2104,
2105,2106,2107,2108,2109,2110,2111,2112,2113,2114,2115,2116,2117,2118,2119,
2120,2121,2122,2123,2124,2125,2126,2127,2128,2129,2130,2131,2132,2133,2134,
2135,2136,2137,2138,2139,2140,2141,2142,2143,2144,2145,2146,2147,2148,2149,
2150,2151,2152,2153,2154,2155,2156,2157,2158,2159,2160,2161,2162,2163,2164,
2165,2166,2167,2168,2169,2170,2171,2172,2173,2174,2175,2176,2177,2178,2179,
2180,2181,2182,2183,2184,2185,2186,2187,2188,2189,2190,2191,2192,2193,2194,
2195,2196,2197,2198,2199,2200,2201,2202,2203,2204,2205,2206,2207,2208,2209,
2210,2211,2212,2213,2214,2215,2216,2217,2218,2219,2220,2221,2222,2223,2224,
2225,2226,2227,2228,2229,2230,2231,2232,2233,2234,2235,2236,2237,2238,2239,
2240,2241,2242,2243,2244,2245,2246,2247,2248,2249,2250,2251,2252,2253,2254,
2255,2256,2257,2258,2259,2260,2261,2262,2263,2264,2265,2266,2267,2268,2269,
2270,2271,2272,2273,2274,2275,2276,2277,2278,2279,2280,2281,2282,2283,2284,
2285,2286,2287,2288,2289,2290,2291,2292,2293,2294,2295,2296,2297,2298,2299,
2300,2301,2302,2303,2304,2305,2306,2307,2308,2309,2310,2311,2312,2313,2314,
2315,2316,2317,2318,2319,2320,2321,2322,2323,2324,2325,2326,2327,2328,2329,
2330,2331,2332,2333,2334,2335,2336,2337,2338,2339,2340,2341,2342,2343,2344,
2345,2346,2347,2348,2349,2350,2351,2352,2353,2354,2355,2356,2357,2358,2359,
2360,2361,2362,2363,2364,2365,2366,2367,2368,2369,2370,2371,2372,2373,2374,
2375,2376,2377,2378,2379,2380,2381,2382,2383,2384,2385,2386,2387,2388,2389,
2390,2391,2392,2393,2394,2395,2396,2397,2398,2399,2400,2401,2402,2403,2404,
2405,2406,2407,2408,2409,2410,2411,2412,2413,2414,2415,2416,2417,2418,2419,
2420,2421,2422,2423,2424,2425,2426,2427,2428,2429,2430,2431,2432,2433,2434,
2435,2436,2437,2438,2439,2440,2441,2442,2443,2444,2445,2446,2447,2448,2449,
2450,2451,2452,2453,2454,2455,2456,2457,2458,2459,2460,2461,2462,2463,2464,
2465,2466,2467,2468,2469,2470,2471,2472,2473,2474,2475,2476,2477,2478,2479,
2480,2481,2482,2483,2484,2485,2486,2487,2488,2489,2490,2491,2492,2493,2494,
2495,2496,2497,2498,2499,2500,2501,2502,2503,2504,2505,2506,2507,2508,2509,
2510,2511,2512,2513,2514,2515,2516,2517,2518,2519,2520,2521,2522,2523,2524,
2525,2526,2527,2528,2529,2530,2531,2532,2533,2534,2535,2536,2537,2538,2539,
2540,2541,2542,2543,2544,2545,2546,2547,2548,2549,2550,2551,2552,2553,2554,
2555,2556,2557,2558,2559,2560,2561,2562,2563,2564,2565,2566,2567,2568,2569,
2570,2571,2572,2573,2574,2575,2576,2577,2578,2579,2580,2581,2582,2583,2584,
2585,2586,2587,2588,2589,2590,2591,2592,2593,2594,2595,2596,2597,2598,2599,
2600,2601,2602,2603,2604,2605,2606,2607,2608,2609,2610,2611,2612,2613,2614,
2615,2616,2617,2618,2619,2620,2621,2622,2623,2624,2625,2626,2627,2628,2629,
2630,2631,2632,2633,2634,2635,2636,2637,2638,2639,2640,2641,2642,2643,2644,
2645,2646,2647,2648,2649,2650,2651,2652,2653,2654,2655,2656,2657,2658,2659,
2660,2661,2662,2663,2664,2665,2666,2667,2668,2669,2670,2671,2672,2673,2674,
2675,2676,2677,2678,2679,2680,2681,2682,2683,2684,2685,2686,2687,2688,2689,
2690,2691,2692,2693,2694,2695,2696,2697,2698,2699,2700,2701,2702,2703,2704,
2705,2706,2707,2708,2709,2710,2711,2712,2713,2714,2715,2716,2717,2718,2719,
2720,2721,2722,2723,2724,2725,2726,2727,2728,2729,2730,2731,2732,2733,2734,
2735,2736,2737,2738,2739,2740,2741,2742,2743,2744,2745,2746,2747,2748,2749,
2750,2751,2752,2753,2754,2755,2756,2757,2758,2759,2760,2761,2762,2763,2764,
2765,2766,2767,2768,2769,2770,2771,2772,2773,2774,2775,2776,2777,2778,2779,
2780,2781,2782,2783,2784,2785,2786,2787,2788,2789,2790,2791,2792,2793,2794,
2795,2796,2797,2798,2799,2800,2801,2802,2803,2804,2805,2806,2807,2808,2809,
2810,2811,2812,2813,2814,2815,2816,2817,2818,2819,2820,2821,2822,2823,2824,
2825,2826,2827,2828,2829,2830,2831,2832,2833,2834,2835,2836,2837,2838,2839,
2840,2841,2842,2843,2844,2845,2846,2847,2848,2849,2850,2851,2852,2853,2854,
2855,2856,2857,2858,2859,2860,2861,2862,2863,2864,2865,2866,2867,2868,2869,
2870,2871,2872,2873,2874,2875,2876,2877,2878,2879,2880,2881,2882,2883,2884,
2885,2886,2887,2888,2889,2890,2891,2892,2893,2894,2895,2896,2897,2898,2899,
2900,2901,2902,2903,2904,2905,2906,2907,2908,2909,2910,2911,2912,2913,2914]],
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],[1,1,1,1,1],[1,2,1,1],[1,2,1,1],[1,1,1,1,1],[1,1,1,1,1],[1,1,1,1,1],[
1,3,1],[1,1,1],[1,3,1],[1,1,1],[1,1,2,1],[1,1,1,1,1],[1,1,2,1],[1,1,2,1],[1,1,
1],[1,2,1,1],[1,1,2,1],[1,1,2,1],[1,1,1],[1,1,1,1,1],[1,1,2,1],[1,2,1,1],[1,2,
1,1],[1,2,1,1],[1,2,1,1],[1,2,1,1],[1,3,1],[1,1,2,1],[1,1,1],[1,1,1],[1,1,1,1,
1],[1,1,2,1],[1,3,1],[1,1,1],[1,3,1],[1,2,1,1],[1,1,1,1,1],[1,2,1,1],[1,1,2,
1],[1,1,1],[1,3,1],[1,1,2,1],[1,1,1],[1,1,1],[1,3,1],[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],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,
3,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[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],[1,3,1,1],[1,1],[1,2,3,1,1,1,1],[1,3,3,1,3,3,1,
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2,1,1],[1,2,1,2,1,1,1,1],[1,2,2,2,1,1,2,2,1,1,1],[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],[1,1,3,3,3,1,3,1],[1,1,1,1,1,1,1,1],[1,2,1,2,
1,1,2,1,2,1,1,1],[1,1,1,3,2,1,2,1,1,2,1],[1,1,1,1,1,1,1,1],[1,1,3,3,3,1,3,1],[
1,1,1,3,2,1,2,1,1,2,1],[1,1,1,1,1,1,1,1],[1,2,1,2,1,1,2,1,2,1,1,1],[1,1,1,3,2,
1,2,1,1,2,1],[1,1,1,3,2,1,2,1,1,2,1],[1,1,1,1,1,1,1,1],[1,2,3,1,1,1,1],[1,2,1,
2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,2,2,1,1,1,1,2,2,1,1,1],[1,2,1,2,1,1,1,1],[1,2,
3,1,1,1,1],[1,2,2,2,1,1,2,2,1,1,1],[1,2,1,2,1,1,1,1],[1,1,3,1,1,1,1,1,1,1,1,1,
1,1],[1,5,1,1,1,1],[1,3,1,3,1,3,3,1],[1,3,2,1,1,1,1],[1,4,3,1,3,3,1],[1,3,2,1,
1,1,1],[1,3,1,3,1,3,3,1],[1,3,2,1,1,1,1],[1,1,1,1,2,1,1],[1,1,2,2,1,1,1,1],[1,
2,1,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,1,1,1,1,1,1],[1,3,1,3,1,
3,3,1],[1,3,2,1,1,1,1],[1,6,1,4,3,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,3,3,1,
1,3,3,1],[1,3,2,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,4,1,1,1,1],[1,1,4,1,1,1,1],[1,
2,1,2,1,1],[1,1,2,2,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,4,1,1,2,1,2,2,1],[1,2,4,1,
2,1,2,2,1],[1,1,2,2,1,1,1,1],[1,1,4,1,1,2,1,2,2,1],[1,1,4,1,1,1,1],[1,1,3,3,3,
1,3,1],[1,1,1,5,1,2,2,2,1],[1,1,1,1,1,2,1],[1,1,1,5,1,2,2,2,1],[1,1,1,1,1,2,
1],[1,1,1,1,1,2,1],[1,1,1,1,1,2,1],[1,1,1,1,1,1,1,1],[1,2,1,2,1,1,2,1,2,1,1,
1],[1,1,4,1,1,1,2,2,2,1],[1,1,1,1,2,2,1,1,1,2,2,1],[1,1,1,1,1,2,1],[1,1,1,3,2,
1,2,1,1,2,1],[1,1,1,1,1,2,1],[1,1,1,1,4,1,2,2,2,1],[1,1,1,1,1,2,1],[1,1,4,1,1,
1,1],[1,2,2,1,2,1,1,2,1,2,1],[1,1,2,2,1,1,1,1],[1,1,3,2,1,1,1,1,2,2,1],[1,1,3,
3,1,1,1,2,2,1],[1,2,4,1,4,1,2,1],[1,1,2,2,1,1,1,1],[1,1,5,1,2,1,2,2,1],[1,1,2,
2,1,1,1,1],[1,2,1,2,1,1],[1,1,1,1,2,1,1],[1,2,5,1,4,2,1],[1,2,1,1,2,1],[1,2,1,
4,1,4,2,1],[1,2,1,1,2,1],[1,2,1,1,2,1],[1,2,3,1,1,1,1],[1,2,1,2,1,1,1,1],[1,1,
2,2,1,1,1,1],[1,1,4,1,1,2,1,2,2,1],[1,1,2,2,1,1,1,1],[1,1,1,2,3,1,1,1,2,2,1],[
1,1,1,1,2,1,1],[1,1,3,3,3,1,3,1],[1,1,1,5,1,2,2,2,1],[1,1,1,1,1,2,1],[1,1,1,1,
1,1,1,1],[1,2,3,1,1,1,1],[1,2,1,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,4,1,1,1,2,2,2,
1,1],[1,2,1,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,2,3,1,1,1,1],[1,
4,2,1,2,2,2,1,1],[1,2,3,1,1,1,1],[1,4,1,2,1,1],[1,4,1,2,1,1],[1,2,3,1,1,1,1],[
1,2,1,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,3,1,3,1,3,3,1],[1,1,4,
1,1,2,1,2,2,1],[1,1,2,1,3,1,1,1,2,2,1],[1,1,1,1,1,1,1,1],[1,1,1,1,2,1,1],[1,1,
3,3,3,1,3,1],[1,1,1,5,1,2,2,2,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,2,1],[1,4,1,2,1,
1,2,2,1,1],[1,2,1,1,1,1,1],[1,6,1,4,3,1],[1,2,3,2,1,4,1,1,1],[1,2,1,4,1,4,2,
1],[1,2,1,1,2,1],[1,2,1,4,1,4,2,1],[1,2,1,1,1,1,1],[1,2,1,1,2,1],[1,2,3,1,1,1,
1],[1,2,1,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,2,1,4,2,1,2,1,1,
1],[1,7,7,1],[1,3,1,2,1],[1,5,2,1,1],[1,3,4,1,6,1],[1,3,1,2,1],[1,3,2,1,1,1,
1],[1,1,4,2,1,1],[1,1,6,3,4,1],[1,1,4,2,1,1],[1,1,4,2,1,1],[1,1,2,1,1,1,1],[1,
1,2,1,2,1],[1,1,1,1],[1,1,3,1],[1,1,1,2,1],[1,1,1,1],[1,1,3,1],[1,1,3,1],[1,1,
1,2,1],[1,2,2,1],[1,1,1,2,1],[1,1,2,1,1],[1,2,1,1,1],[1,1,1,1],[1,5,1,1],[1,1,
1,1],[1,5,1,1],[1,5,1,1],[1,2,1,1,1,2,1,1],[1,4,3,1,3,1,1,1,1],[1,2,1,1,1,2,1,
1],[1,4,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,2,1,1,1,2,1,1],[1,1,3,3,1,3,1,
1,1,1],[1,2,1,1,1,2,1,1],[1,1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,1,1],[1,1,3,3,
1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,
1],[1,6,1,1,3,2,1,1],[1,3,1,3,1,3,1,1,1,1],[1,3,3,1,1,3,1,1,1,1],[1,3,1,3,1,3,
1,1,1,1],[1,7,1,3,2,1,1],[1,3,4,1,3,1,1,1,1],[1,3,1,1,3,1],[1,1,6,1,3,1,2,1],[
1,1,1,1,1,1],[1,1,1,3,1,1],[1,1,1,1,1,1,1,1,1,1],[1,6,1,1,3,1,2,1],[1,1,2,1,1,
1,2,1],[1,1,1,3,1,1],[1,1,6,1,3,2,1,1],[1,7,1,3,2,1,1],[1,3,1,1,3,1],[1,1,6,1,
3,1,2,1],[1,1,2,1,1,1,2,1],[1,1,1,3,1,1],[1,1,1,3,1,1],[1,1,1,1,1,1],[1,6,1,1,
3,2,1,1],[1,3,1,1,3,1],[1,1,1,1,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,3,4,1,1],[1,
3,4,1,1],[1,3,1,1,3,1],[1,3,4,1,1],[1,6,1,1,3,1,2,1],[1,1,1,3,1,1],[1,3,1,1,3,
1],[1,3,1,3,1,3,1,1,1,1],[1,1,1,1,1,1],[1,1,6,1,3,1,2,1],[1,2,1,1,1,2,1,1],[1,
1,6,1,3,1,2,1],[1,1,2,1,1,1,2,1],[1,1,1,3,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,1,
3,1,3,1,1,1,1],[1,1,6,1,3,1,2,1],[1,3,3,1,1,3,1,1,1,1],[1,6,1,1,3,2,1,1],[1,3,
1,1,3,1],[1,1,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,2,1,1,1,2,1,1],[1,4,3,1,3,1,1,1,
1],[1,4,3,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,6,1,1,3,1,1,1,1],[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],[1,6,1,1,3,2,1,1],[1,6,1,1,3,1,
1,1,1],[1,6,1,1,3,1,1,1,1],[1,3,1,1,3,1],[1,1,6,1,3,1,2,1],[1,1,1,1,1,1],[1,1,
1,3,1,1],[1,6,1,1,3,1,2,1],[1,1,1,1,1,1,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,1,
3,1,1],[1,1,2,1,1,1,2,1],[1,1,6,1,3,1,2,1],[1,1,1,1,1,1],[1,3,1,3,1,3,1,1,1,
1],[1,3,3,1,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,
1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,
1,1,1],[1,7,1,1],[1,1,1,1],[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],[1,4,3,1,3,2,2,2,1,2,3,3,2,1,2,1,1,1],[1,3,3,3,2,1,3,2,2,1,1,3,1,1,1,
1,1,1,1,1,1,1],[1,2,4,2,3,1,2,2,1,1,3,1,3,1,1,1,1,1,1,1,1,1],[1,2,3,2,1,3,1,2,
2,1,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,6,3,2,1,3,6,6,3,6,6,1,3,3,1,2,3,6,3,1,1],[1,
3,3,3,2,3,3,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,4,6,4,1,6,12,4,4,3,6,4,6,4,1,
1],[1,3,3,3,2,3,3,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,4,3,4,3,1,3,6,3,6,4,1,3,3,
3,3,1,3,3,1,3,3,1,1],[1,3,3,3,2,3,3,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,4,1,4,1,
1,2,2,2,1,2,1,1,2,2,2,1,2,1,1,1],[1,3,1,3,4,1,1,2,4,1,1,1,1,1,2,1,1,1,1,1,1,1,
1],[1,2,2,6,1,1,2,2,2,2,1,3,2,2,1,2,1,1,1],[1,3,1,3,2,2,1,1,2,2,2,1,1,1,1,1,2,
1,1,1,1,1,1,1,1],[1,2,1,6,1,1,1,2,2,1,2,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,4,1,3,3,
2,2,2,3,1,3,2,1,2,2,1,1,1],[1,4,1,1,5,2,2,2,1,2,2,2,2,1,4,1,1,1],[1,4,1,1,5,2,
2,2,1,2,2,1,1,2,1,2,2,1,1,1],[1,4,1,1,1,2,2,2,1,2,2,1,1,1,1],[1,4,2,4,1,2,1,1,
2,4,2,2,4,4,4,2,1,2,2,2,2,1,1,1,2,2,2,2,2,2,1,1,1],[1,4,1,1,1,2,2,2,2,2,1,1,2,
1,2,2,1,2,2,1,1,1],[1,4,1,1,3,2,2,2,2,1,2,1,2,1,2,1,2,2,1,1,1],[1,4,1,1,1,4,2,
2,2,1,2,2,2,2,1,4,1,1,1],[1,2,2,2,2,1,2,1,2,2,1,1,1,1,1,2,1,2,1,1,1,1,1,1,1,
1],[1,2,1,2,3,2,1,1,2,2,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,4,2,4,4,1,2,4,4,8,
4,4,1,2,4,2,4,2,4,4,1,1],[1,3,1,3,2,2,1,1,2,2,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[
1,2,2,6,1,1,2,2,2,2,1,3,2,2,1,1,2,1,1],[1,2,4,6,3,1,6,6,1,6,3,3,3,6,3,2,6,1,3,
1],[1,2,2,2,5,1,2,2,1,1,4,2,2,1,2,1,1,2,1],[1,2,2,2,1,1,2,2,1,2,1,1,1,1,2,2,1,
1,1],[1,2,2,6,2,1,2,1,2,4,2,4,2,1,1,3,2,1,4,2,4,2,1,2,2,2,4,1,1,2,1],[1,2,2,2,
1,4,1,2,2,1,1,2,4,2,1,2,1,1,2,1],[1,2,2,2,1,1,2,2,1,2,1,1,1,1,2,2,1,1,1],[1,2,
2,2,1,1,2,2,1,1,2,2,1,1,1,1],[1,2,2,2,1,1,2,2,1,1,2,2,1,1,1,1],[1,2,1,2,1,2,3,
1,2,2,1,1,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,2,3,6,1,3,6,1,6,1,6,3,3,3,6,2,3,6,1,3,
1],[1,1,5,5,5,1,1,1,3,3,1,1,1,1,1,1,1,1,1],[1,2,3,6,1,3,6,1,6,1,6,3,3,3,6,2,3,
6,1,3,1],[1,1,3,5,2,3,2,1,3,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,2,1,2,1,1,2,1,2,2,1,
1,1,1,2,1,2,1,1,1],[1,1,3,5,2,3,2,1,1,1,1,3,1,2,1,1,1,1,1,1,1,1],[1,2,1,2,1,1,
2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,5,2,2,1,2,2,1,1,1,1,1,1,2,2,1,1,1,1,
1,1,1,1],[1,2,1,2,3,3,2,1,2,3,1,1,3,1,1,1,1,1,1,1,1,1,1],[1,2,1,2,1,5,2,1,2,1,
2,1,2,2,2,1,2,1,1,2,1],[1,2,1,2,1,5,2,1,2,1,2,1,2,2,2,1,2,1,1,2,1],[1,2,1,2,1,
1,2,1,2,1,2,1,2,1,1,1,1],[1,2,3,6,1,3,6,1,6,1,3,3,6,3,6,3,2,6,1,3,1],[1,2,1,6,
1,1,2,2,2,1,2,4,4,2,1,1,1,3,2,4,4,2,2,1,2,2,2,4,1,1,2,1],[1,2,1,2,1,1,2,1,2,1,
1,1,2,1,1,2,2,1,1,1],[1,2,1,2,1,3,2,2,1,2,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,
2,1,2,1,5,2,1,2,1,2,1,2,2,2,1,2,1,1,2,1],[1,2,1,2,1,1,4,2,1,2,1,2,1,2,2,2,1,2,
1,1,2,1],[1,2,1,2,1,1,2,1,2,1,2,1,2,1,1,1,1],[1,1,3,5,2,3,2,1,1,1,1,3,1,2,1,1,
1,1,1,1,1,1],[1,2,1,6,3,2,1,2,1,4,4,2,2,1,1,1,4,4,3,2,2,2,2,2,1,2,4,1,1,2,1],[
1,1,1,5,4,1,4,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,3,5,2,3,2,1,1,1,1,3,1,2,1,
1,1,1,1,1,1,1],[1,1,1,5,2,2,1,2,2,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,2,1,2,3,
3,2,1,2,3,1,1,1,3,1,1,1,1,1,1,1,1,1],[1,2,1,2,1,5,2,1,2,1,2,1,2,2,2,1,2,1,1,1,
1,1],[1,2,2,3,1,3,1,2,2,1,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,2,2,1,4,1,1,1,2,2,1,2,
1,1,1,2,2,1,1,1,1,1,1,1,1],[1,2,2,1,2,1,3,1,2,2,1,1,2,1,1,2,2,1,1,1,1,1,1,1,
1],[1,2,2,4,1,2,1,2,2,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1],[1,2,2,2,1,4,1,2,2,1,1,
4,2,2,1,2,2,1,1,1],[1,2,2,2,1,4,1,2,2,1,1,4,2,2,1,2,2,1,1,1],[1,2,2,2,1,1,2,2,
1,1,2,2,1,1,1,1],[1,5,1,5,1,1,1,5,3,3,1,1,1,1,1,1,1,1,1],[1,8,3,1,4,2,5,3,2,1,
1,2,1,1],[1,5,3,3,1,1,1,3,1,5,3,1,1,1,1,1,1,1,1],[1,3,3,9,1,9,9,1,9,6,3,3,9,
1],[1,3,1,3,1,3,3,2,2,1,1,1,1],[1,3,1,7,1,3,3,2,2,2,2,1,2,1,1,2,1],[1,3,1,3,1,
3,3,1,3,1,3,3,1],[1,4,1,4,3,3,1,4,3,3,3,6,3,3,3,6,1,1,1,3,3,3,3,1],[1,3,4,1,3,
1,3,3,2,2,2,2,1,2,1,1,2,1],[1,3,1,5,6,1,3,3,6,6,1,3,6,6,1,2,3,3,6,1],[1,3,1,3,
1,3,3,2,2,1,1,1,1],[1,4,4,3,1,4,2,3,3,2,2,1,1,2,1,1],[1,3,5,3,1,2,2,3,3,2,2,2,
1,1,2,1,1],[1,6,9,2,9,18,6,6,9,1],[1,4,4,3,1,2,3,2,3,2,2,1,2,1,1,2,1],[1,4,3,
1,2,3,3,2,1,1,1,1],[1,4,3,1,1,3,3,3,1,3,3,1],[1,4,2,3,6,1,1,3,3,6,9,6,6,1,2,3,
3,6,1],[1,4,3,1,2,3,3,2,1,1,1,1],[1,3,4,1,3,1,2,2,3,3,2,2,2,1,1,2,1,1],[1,3,3,
9,1,9,9,1,9,6,3,3,9,1],[1,3,1,3,1,3,3,1,3,1,3,3,1],[1,3,4,1,3,2,1,2,3,3,2,2,2,
1,2,1,1,1],[1,6,4,1,1,4,2,3,2,1,2,2,1,1,2,1,1],[1,3,4,3,1,1,1,2,3,1,3,2,2,1,1,
1,1,1,1,1,1],[1,1,3,3,2,3,1,3,2,1,1,1,1],[1,1,1,5,2,1,2,2,2,2,1,1,1,1],[1,1,1,
5,2,1,2,2,2,2,1,1,1,1],[1,1,1,1,2,1,2,1,1,1,1,1,1],[1,2,1,2,1,1,2,2,1,2,2,1,1,
1,2,2,1,1,1],[1,1,4,1,1,2,2,2,1,2,1,1,2,2,2,2,1,2,2,1,1,1],[1,1,1,3,2,2,1,2,1,
1,2,2,1,1,1,1],[1,1,1,1,4,2,1,2,2,2,2,1,1,1,1],[1,2,4,4,1,1,2,4,1,2,1,2,2,2,1,
1,2,1,1],[1,2,4,5,1,2,1,2,4,1,2,2,1,2,1,1,2,1],[1,2,1,1,2,1,3,1,1,1,1],[1,2,1,
2,1,2,2,2,1,1],[1,2,4,1,4,1,2,1,2,1,4,2,2,1,2,1,1,2,1],[1,2,2,1,2,1,1,1,3,2,1,
2,1,2,1,1,2,1],[1,2,1,2,1,2,2,2,1,1],[1,2,1,1,2,1,3,1,1,1,1],[1,1,4,1,2,3,1,2,
1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,3,9,1,9,9,1,9,6,3,3,9,1],[1,3,1,7,1,3,2,
3,2,2,2,1,2,1,1,2,1],[1,3,1,3,1,3,3,2,2,1,1,1,1],[1,3,1,3,1,3,3,3,1,1,3,3,1],[
1,6,1,6,1,1,4,6,12,3,6,1,3,4,1,4,3,3,1],[1,3,4,1,3,1,2,3,3,2,2,2,1,2,1,2,1,
1],[1,3,1,3,2,2,1,1,3,3,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,3,1,9,2,1,3,9,6,3,1,6,6,
1,2,3,3,6,1],[1,3,1,3,4,1,3,3,2,2,2,2,1,2,1,1,2,1],[1,3,1,3,1,3,3,2,2,1,1,1,
1],[1,3,1,3,1,3,3,1,3,1,3,3,1],[1,6,2,1,2,4,1,2,3,2,1,2,2,1,2,1,1,1],[1,3,5,2,
1,1,1,1,3,1,1,3,2,2,1,1,1,1,1,1,1,1],[1,3,5,3,1,1,3,2,3,1,2,2,1,1,1,1,1,1,1,
1],[1,6,5,4,3,4,2,2,1,1,1,4,1],[1,6,1,4,3,4,1,2,1],[1,6,1,4,4,3,4,2,2,1,1,1,4,
1],[1,1,3,3,1,3,3,1,3,3,1,3,1],[1,1,1,9,1,1,2,2,1,4,2,2,1,2,1,1,2,1],[1,1,1,1,
1,1,1,1,1,2,1,1,1,1],[1,1,1,1,1,1,1,2,2,1,1,1,1],[1,1,8,1,1,1,2,1,1,2,4,2,2,1,
2,1,2,1,1],[1,2,1,2,1,1,2,2,2,1,2,1,1,2,1,2,1,1,1],[1,1,1,5,4,1,1,2,1,2,2,2,2,
2,1,2,1,1,2,1],[1,1,1,3,2,1,1,3,2,1,1,2,1,2,1,1,2,1],[1,1,1,1,1,1,1,4,1,1,1,
1],[1,1,1,1,1,1,1,1,1,2,1,1,1,1],[1,2,6,1,2,2,1,4,1,2,1,2,2,2,1,2,1,1,1],[1,1,
7,3,1,1,2,1,1,1,2,4,2,1,1,1,1,1,1,1,1],[1,2,4,1,2,2,1,2,2,2,1,1,1,1],[1,2,5,4,
1,4,2,2,1,1],[1,2,2,1,2,2,1,1,2,1,2,2,1,1,1,1],[1,2,1,4,2,2,1,4,2,1,1,1,1],[1,
1,4,3,3,2,3,2,2,1,3,2,1,1,1,2,2,1],[1,1,4,1,5,2,1,2,2,2,2,1,1,2,1,1,1,2,2,1],[
1,1,4,1,5,2,1,2,2,2,2,2,2,1,1,1,4,1],[1,1,4,1,1,2,1,2,2,2,2,1,1,1,1],[1,2,8,1,
2,1,1,4,2,1,4,2,4,4,4,4,4,1,1,2,2,2,1,2,2,2,2,1],[1,1,4,1,5,2,1,2,2,2,2,2,2,1,
1,1,4,1],[1,1,4,1,1,2,1,2,2,2,2,1,1,1,1],[1,1,4,1,3,2,2,1,2,2,2,1,2,1,2,1,1,1,
2,2,1],[1,1,4,1,1,4,2,1,2,2,2,1,1,2,2,1,1,1,2,2,1],[1,2,8,1,4,1,4,4,2,2,1,4,
1],[1,2,8,1,4,1,4,4,2,2,1,4,1],[1,2,4,2,1,2,2,1,1,2,2,2,1,2,2,1,1,2,1,2,1],[1,
2,4,1,2,2,1,2,2,2,1,1,1,1],[1,1,4,3,3,2,3,2,2,1,3,2,1,1,1,2,1,1,1],[1,1,4,1,5,
2,1,2,2,2,1,2,1,2,1,1,1,2,1,1,1],[1,2,3,6,1,3,6,1,6,1,6,3,3,3,6,2,3,6,1,3,1],[
1,1,4,3,3,3,2,2,2,1,3,2,1,1,1,2,2,1],[1,1,3,3,2,6,3,1,3,1,3,6,6,6,6,1,3,3,2,6,
1],[1,1,3,3,3,2,1,3,2,1,1,1,1],[1,2,1,6,1,5,2,2,1,6,2,2,1,2,2,1,4,4,6,1,1,2,1,
2,2,2,2,2,1],[1,1,4,1,5,1,2,2,2,2,2,2,2,1,1,1,4,1],[1,1,1,7,2,4,1,2,1,2,1,3,2,
1,2,4,6,6,4,1,1,1,2,2,2,2,4,1],[1,1,1,5,1,2,2,2,2,2,1,1,1,1],[1,2,1,2,1,1,2,1,
2,1,2,1,2,1,1,1,2,2,1],[1,1,4,1,1,4,1,2,2,2,2,2,2,2,1,1,1,4,1],[1,1,1,1,2,2,1,
1,1,2,2,2,2,1,1,1,1],[1,1,1,3,2,1,2,2,1,1,2,2,1,1,1,1],[1,2,1,10,1,1,2,8,1,2,
4,1,8,5,4,4,1,2,4,2,2,1],[1,1,4,1,5,1,2,2,2,2,2,1,1,2,1,1,1,2,2,1],[1,1,1,5,2,
2,1,2,2,1,1,2,2,2,2,1,1,1,2,2,1],[1,1,1,5,1,2,2,2,2,2,1,1,1,1],[1,2,1,2,1,1,2,
1,2,4,1,1,2,1,2,2,1],[1,1,4,1,1,1,2,2,2,2,2,1,1,1,1],[1,1,1,1,2,2,1,1,1,1,3,2,
2,1,1,1,2,2,1],[1,2,1,2,1,1,2,4,1,2,1,1,2,1,2,2,1],[1,1,1,1,1,2,2,1,1,1,1,1,
1],[1,2,1,2,1,1,2,1,2,2,2,1,1,1,2,1,1,2,1],[1,1,4,1,3,2,1,2,2,2,2,1,2,1,2,1,1,
1,2,2,1],[1,1,1,1,2,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,1,1,4,1,2,2,2,2,2,1,1,1,1],[
1,2,1,2,5,5,2,1,4,2,4,5,1,8,2,6,1,4,1,1,4,2,2,1],[1,2,1,2,1,1,2,1,4,2,1,1,1,2,
2,2,1],[1,2,1,2,1,9,2,1,2,8,1,4,1,8,4,4,1,4,2,4,2,1,1,1],[1,2,1,2,1,1,2,1,2,1,
1,4,1,2,2,2,1],[1,2,1,2,1,1,2,1,2,1,1,2,2,1,1,1,2,2,1],[1,2,1,2,1,1,2,1,2,1,1,
4,1,2,2,2,1],[1,2,1,2,3,3,2,1,2,3,1,1,3,1,1,1,1,1,1,1,1,1,1],[1,2,1,2,1,5,2,1,
2,1,2,1,2,2,2,1,2,1,1,1,1,1],[1,1,4,1,1,2,2,1,2,1,2,1,2,2,2,2,1,1,1,2,2,1],[1,
1,4,1,3,2,1,2,2,2,2,1,2,1,2,1,1,1,2,2,1],[1,1,4,1,1,4,1,2,2,2,2,2,2,2,1,1,1,2,
2,1],[1,1,1,3,2,8,1,1,2,3,1,2,3,6,2,6,4,4,1,1,1,2,2,2,2,4,1],[1,1,1,1,2,2,1,1,
1,2,2,2,2,1,1,1,1],[1,1,1,3,2,1,2,2,1,1,2,2,1,1,1,1],[1,1,1,1,4,1,2,2,2,2,2,1,
1,1,1],[1,2,6,1,2,1,4,2,1,2,1,2,2,2,1,1,2,1,1],[1,1,7,2,1,1,2,2,1,1,2,2,2,2,2,
1,2,1,1,1],[1,2,4,5,4,2,1,4,4,2,4,12,2,4,2,4,1,4,4,1],[1,2,2,1,2,1,2,1,2,1,2,
2,1,1,1,1],[1,2,4,1,8,2,1,4,6,4,4,8,2,4,2,4,1,4,4,1],[1,2,2,1,2,1,2,1,2,1,2,2,
1,1,1,1],[1,1,4,3,2,1,1,2,1,2,1,2,2,2,2,2,1,2,1,1,1],[1,1,5,2,7,1,1,3,2,1,2,6,
4,9,4,2,1,2,2,1,1,2,1,1,4,1],[1,1,3,2,1,1,1,1,1,2,2,3,1,1,1,2,2,1],[1,2,4,5,4,
1,4,2,2,2,1,1,1,4,1],[1,2,4,1,4,1,4,2,1,2,1],[1,2,4,1,4,4,1,4,2,2,2,1,1,1,4,
1],[1,2,4,1,4,4,1,4,2,2,2,1,1,1,2,2,1],[1,2,4,3,2,4,1,2,4,1,1,1,1,1,1,1,1,1,1,
1,1],[1,2,4,1,4,4,1,2,4,2,2,1,2,1,1,2,1],[1,2,4,1,4,1,2,4,1,2,1],[1,2,4,1,4,4,
1,2,4,2,2,1,2,1,1,2,1],[1,1,4,5,1,2,2,1,2,2,1,2,2,1,1,1,1,2,2,1],[1,1,5,1,2,2,
1,2,2,2,1,1,1,1],[1,2,5,4,1,4,2,2,1,1],[1,2,1,4,4,1,4,2,2,1,1],[1,1,4,1,1,2,2,
1,2,2,2,1,1,1,1],[1,1,1,1,2,2,1,1,1,1,1,1,1],[1,2,9,1,4,8,2,1,2,1,1,2,1],[1,2,
5,1,4,2,4,1,2,1],[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],[1,2,3,
6,1,4,1,7,1,1,1,1,1,1,1,1,1,1],[1,2,1,8,1,4,4,2,4,1,2,1,1,1,1,1],[1,2,5,1,2,4,
1,2,2,1,1,1],[1,2,1,1,2,1,2,1],[1,2,1,4,1,2,2,2,1,2,1,2,1,1],[1,2,3,2,1,1,1,1,
3,1,1,1,1,1,1,1,1],[1,2,1,4,1,2,4,1,2,1,2,1,1],[1,2,1,4,1,2,4,1,2,1,2,1,1],[1,
2,1,1,2,1,2,1],[1,4,3,1,3,2,2,2,1,2,3,3,2,1,2,1,1,1],[1,4,1,2,1,3,2,2,2,1,1,1,
1,1,2,2,1,1,1,1,1,1,1,1],[1,4,1,4,1,1,2,2,2,2,2,1,2,2,2,1,2,1,1,1],[1,8,1,1,1,
4,4,4,1,1,1,2,2,2,1,1],[1,4,1,1,1,2,2,2,2,1,2,1,1,1,1],[1,4,6,1,2,2,2,1,4,3,1,
2,1,2,1,1,1],[1,8,2,1,4,4,4,1,1,1,2,2,2,1,1],[1,4,4,1,2,2,2,2,1,1,2,2,1,2,1,2,
1,1,1,1,1],[1,4,2,1,4,2,2,2,1,1,4,1,2,1,2,2,1,1,1],[1,4,2,1,4,2,2,2,1,1,4,1,2,
1,2,2,1,1,1],[1,4,5,2,2,1,1,1,1,1],[1,4,1,4,2,2,1,1,1,1,1],[1,4,1,2,3,1,1,1,
1],[1,4,1,2,1,2,1,1,1,1],[1,4,1,4,2,2,1,1,1,1,1],[1,4,1,4,2,2,1,1,1,1,1],[1,4,
1,2,3,1,1,1,1],[1,4,1,2,3,1,1,1,1],[1,3,3,9,1,9,9,1,9,6,3,3,9,1],[1,3,1,3,1,3,
3,1,3,1,3,3,1],[1,1,4,3,7,2,3,2,2,8,2,8,1,5,2,1,4,1,1,2,1,1,4,1],[1,1,4,1,1,2,
1,2,2,1,3,1,1,1,2,2,1],[1,1,4,3,3,2,3,2,2,1,3,2,1,1,1,2,1,1,1],[1,1,4,1,5,2,1,
2,2,2,2,1,1,2,1,1,1,2,1,1,1],[1,1,1,1,4,1,1,1,2,1,1],[1,1,7,7,7,7,21,7,1,7,
1],[1,1,3,3,3,1,3,2,2,1,2,1,1,2,1],[1,1,5,5,5,2,6,1,1,2,1,1,2,1,1],[1,1,3,11,
3,4,1,15,12,1,6,2,6,1],[1,1,3,3,3,1,3,4,1,2,2,2,1],[1,1,3,7,3,2,1,5,2,2,1,1,1,
2,1,1,1],[1,1,1,9,1,4,4,1,1,4,2,1,2,1,1,1],[1,1,1,5,1,2,2,1,3,2,1,1,1,2,2,1],[
1,1,1,1,1,1,1,1,2,1],[1,1,1,1,1,1,1,1,2,1],[1,1,1,1,1,3,3,3,1,3,1],[1,1,1,1,1,
1,5,1,2,2,1,1,1],[1,6,3,6,2,3,12,6,6,1,3,2,6,3,6,1],[1,2,1,2,1,2,1,1,2,1,1],[
1,6,3,2,4,3,4,1,1,2,1,1,1,2,1,1,1],[1,6,1,4,4,3,4,2,1,1,1,1,1,2,2,1],[1,6,1,4,
4,3,4,2,1,1,1,1,1,2,2,1],[1,2,7,2,1,4,7,1,2,1,2,1,1,2,1],[1,2,3,2,1,4,1,1,2,2,
1,1,1,1],[1,2,5,4,1,4,2,6,1,1,1,1,1,1,1,1,1,1],[1,2,3,6,1,4,1,7,2,1,2,1,1,2,
1],[1,2,3,6,1,4,1,7,2,1,2,1,1,2,1],[1,2,3,2,1,4,1,1,4,1,2,1],[1,2,3,6,1,4,1,3,
2,4,1,1,1,2,1,1,1],[1,2,3,6,1,4,1,7,2,1,2,1,1,2,1],[1,2,3,6,1,4,1,7,2,1,1,1,1,
1,1,1,1],[1,2,1,8,1,4,4,1,1,4,1,1,1,1,1,1,1,1],[1,2,3,6,1,4,1,7,2,1,1,1,1,1,1,
1,1],[1,2,1,8,1,4,4,1,1,4,1,1,1,1,1,1,1,1],[1,2,5,1,2,1,3,1,2,1,2,1,1],[1,2,3,
2,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,2,1,1,1,1,1,2,1],[1,2,1,4,1,2,3,1,1,2,1,2,1,
1],[1,2,1,4,1,2,1,3,1,1,1,1,2,1,1],[1,2,1,4,1,2,1,3,1,2,1,2,1,1],[1,2,1,4,1,2,
1,3,1,2,1,2,1,1],[1,2,1,1,1,1,1,2,1],[1,2,3,2,1,1,1,4,1,1,1,1,1,1,1,1],[1,2,1,
4,1,2,1,3,1,1,1,1,1,1,1,1],[1,2,3,2,1,1,1,4,1,1,1,1,1,1,1,1],[1,2,1,4,1,2,1,3,
1,1,1,1,1,1,1,1],[1,1,2,2,2,2,1,1],[1,3,2,2,3,1,1,1],[1,9,1,1,2,3,3,6,1,1],[1,
3,1,1,2,1,3,1,1],[1,3,1,1,2,3,1,1,1],[1,1,1,1,2,1,1,2,1,1],[1,9,1,1,2,3,3,6,1,
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],[1,9,2,2,6,6,1,1],[1,3,2,2,3,1,1,1],[1,3,2,
2,1,3,1,1],[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],[1,3,1,
2,1,3,1,1,1],[1,3,1,2,1,1,3,1,1],[1,3,1,2,1,3,1,1,1],[1,9,1,2,1,3,6,3,1,1],[1,
9,1,2,1,3,6,3,1,1],[1,3,1,2,1,3,1,1,1],[1,1,1,2,1,1,2,1,1,1],[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],[1,2,1,1,1,2,1,1],[1,1,5,5,5,1,1,
1,1,1],[1,1,5,5,5,1,1,1,1,1],[1,5,5,1,1,1],[1,5,1,5,5,1,1,1,1,1],[1,5,5,1,1,
1],[1,5,5,1,1,1],[1,3,1,1,3,1],[1,1,10,5,1,1,2,1],[1,10,1,5,1,1,2,1],[1,1,1,1,
1,1],[1,1,5,1,1,1],[1,5,5,1,1,1],[1,1,1,1],[1,7,1,1],[1,7,1,1],[1,2,3,1,1,1,1,
2,3,1,1,1,1,1],[1,3,3,1,4,3,3,1,4,1,1,1],[1,4,1,1,1,1,2,2,2,1,4,1,1,1,1,2,2,2,
1,1],[1,2,1,2,1,1,1,1,2,1,2,1,1,1,1,1],[1,5,7,3,1,7,9,3,2,1,2,1,1,3,1,2,2,1,1,
1],[1,2,1,6,1,1,3,3,2,1,2,3,1,1,1,1],[1,5,1,3,6,1,1,3,6,6,3,2,1,2,1,1,3,1,2,2,
1,1,1],[1,2,1,6,1,1,3,3,2,1,2,3,1,1,1,1],[1,8,3,1,3,1,6,4,6,3,2,2,1,1,1,3,2,1,
2,1,1,1],[1,5,3,3,4,1,3,3,4,6,3,2,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,2,3,1,1,1,1,
2,3,1,1,1,1,1],[1,2,1,6,1,1,3,3,2,1,2,3,1,1,1,1],[1,2,3,6,1,3,1,6,1,6,3,3,2,1,
1,1,2,3,1,2,2,1,1,1],[1,2,1,2,1,1,1,1,2,1,2,1,1,1,1,1],[1,2,1,6,1,1,3,3,2,1,2,
3,1,1,1,1],[1,2,3,1,1,1,1,2,3,1,1,1,1,1],[1,1,3,3,4,3,1,3,4,1,1,1],[1,1,3,3,4,
3,1,3,4,1,1,1],[1,2,3,1,1,1,1,2,3,1,1,1,1,1],[1,2,2,1,1,1,1,1,2,2,1,1,2,2,1,1,
1,1,1,2,2,1,1,1],[1,2,1,2,1,1,1,1,2,1,2,1,1,1,1,1],[1,2,3,6,1,3,1,6,1,6,3,3,2,
1,1,1,2,3,1,2,2,1,1,1],[1,2,1,6,1,1,3,3,2,1,2,3,1,1,1,1],[1,2,6,1,3,3,1,1,6,6,
3,3,2,2,1,1,1,3,1,2,2,1,1,1],[1,2,1,6,1,1,3,3,2,1,2,3,1,1,1,1],[1,1,3,7,4,1,3,
4,3,3,6,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,7,3,1,3,1,3,1,3,3,3,3,3,1,1,1,1,
1,1,1,3,1,1,1,1,1,1,1,1],[1,1,3,7,4,1,3,4,3,3,6,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,
1],[1,1,7,3,3,1,1,3,3,1,3,3,3,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,6,3,1,3,1,
3,2,3,3,1,1,1,1],[1,6,1,6,1,3,3,1,2,1,2,3,1,1,1,1],[1,6,1,6,1,1,1,6,3,6,1,3,2,
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],[1,3,1,9,2,1,3,6,3,1,6,1,1,3,2,3,1,2,1,1,2,1],[1,3,1,3,1,3,1,3,1,
1,1,3,1,1,1,1],[1,3,1,3,1,3,1,3,1,1,1,3,1,1,1,1],[1,3,3,9,1,9,1,9,1,3,3,3,3,1,
3,1],[1,3,1,3,1,3,4,1,1,1,3,1,1,1,1],[1,7,1,7,1,3,7,9,2,1,2,1,1,3,2,1,2,1,1,
1],[1,3,1,11,1,3,6,4,6,1,1,3,2,3,1,2,1,1,2,1],[1,3,1,3,1,3,1,3,1,1,1,3,1,1,1,
1],[1,9,1,1,3,3,2,3,3,1,1,1,1],[1,7,6,1,1,3,3,2,1,2,3,1,1,1,1],[1,7,2,1,3,1,3,
2,1,2,3,1,1,1,1],[1,1,3,3,1,3,1,3,3,1,3,1,1,3,3,1],[1,6,3,1,3,1,3,3,2,3,1,1,1,
1],[1,1,1,13,1,1,6,6,6,1,4,1,1,3,2,1,2,2,1],[1,6,1,6,1,3,3,1,1,2,2,3,1,1,1,
1],[1,1,1,1,1,1,2,1,1,1,1,2,1,1],[1,1,1,1,1,1,3,3,1,1,1,3,1,1,1,1],[1,6,1,2,1,
3,1,3,1,2,2,3,1,1,1,1],[1,3,1,3,1,1,3,3,1,3,3,1,3,1,3,1],[1,1,12,1,1,1,6,1,6,
6,1,1,4,1,3,1,2,2,2,1],[1,1,1,1,1,3,1,3,1,1,1,3,1,1,1,1],[1,1,1,5,1,1,2,2,2,1,
1,5,1,1,2,2,2,1],[1,1,1,1,1,1,6,1,1,1,3,1,2,1],[1,1,1,1,1,1,6,1,1,1,3,1,2,1],[
1,1,1,1,1,1,2,1,1,1,1,1,2,1],[1,1,1,1,1,2,1,1,1,1,1,1,2,1],[1,6,1,2,1,3,1,3,1,
2,2,3,1,1,1,1],[1,3,6,1,1,3,3,2,3,3,1,1,1,1],[1,1,6,6,1,1,3,3,2,1,2,3,1,1,1,
1],[1,1,8,1,3,1,3,2,1,2,3,1,1,1,1],[1,1,8,1,1,3,3,2,1,2,3,1,1,1,1],[1,6,7,1,3,
1,3,2,2,1,3,1,1,1,1],[1,6,3,4,3,1,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,3,1,3,4,
1,3,3,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,4,3,4,1,3,3,4,1,1,1],[1,3,6,4,1,3,3,
4,3,1,1],[1,3,1,3,4,1,3,3,4,1,1,1],[1,6,3,1,3,1,3,3,2,3,1,1,1,1],[1,5,1,1,1,1,
5,1,1,1,1,1],[1,3,3,9,1,9,1,9,3,1,3,3,1,3,3,1],[1,4,3,1,1,3,3,4,3,1,1,3,3,1],[
1,3,6,1,1,3,3,3,2,3,1,1,1,1],[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],[1,3,1,3,4,1,3,3,4,1,1,1],[1,9,4,1,3,3,4,3,1,1],[1,3,6,
4,1,3,3,4,3,1,1],[1,3,3,9,1,9,1,9,3,1,3,3,1,3,3,1],[1,9,3,3,1,9,9,1,3,3,1,3,3,
1,3,1],[1,6,1,6,1,3,1,3,1,2,2,3,1,1,1,1],[1,6,2,6,1,1,3,6,6,1,3,2,2,2,1,3,1,2,
1,1,2,1],[1,6,1,2,1,3,1,3,1,2,2,3,1,1,1,1],[1,3,6,1,3,1,3,3,2,3,1,1,1,1],[1,3,
1,3,1,3,3,1,1,1,1,3,1,1,1,1],[1,2,1,1,3,1,3,2,1,3,1,1,1,1],[1,1,6,2,1,3,3,1,1,
2,2,3,1,1,1,1],[1,6,1,1,4,3,6,1,1,4,3,1],[1,3,3,9,1,9,1,9,3,1,3,3,1,3,3,1],[1,
3,6,1,1,3,3,3,2,3,1,1,1,1],[1,3,2,1,1,1,1,3,2,1,1,1,1,1],[1,3,1,9,2,1,3,6,3,1,
6,1,1,3,2,3,1,1,1,2,2,1],[1,3,1,3,1,3,1,3,1,1,1,3,1,1,1,1],[1,1,12,1,1,3,3,1,
4,3,1,1,1,1],[1,2,1,1,2,1,2,1,1,2,1,1],[1,2,12,1,1,6,1,6,6,2,4,1,3,2,1,2,2,
1],[1,2,5,1,1,4,2,2,5,1,1,4,2,1],[1,2,1,1,1,6,2,1,3,1,2,1],[1,2,1,1,1,2,2,1,1,
1,2,1],[1,2,3,1,1,1,1,2,3,1,1,1,1,1],[1,1,6,2,1,3,1,3,1,2,2,3,1,1,1,1],[1,3,6,
4,3,1,3,4,3,1,1],[1,6,1,4,4,3,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,9,4,3,1,3,4,
3,1,1],[1,3,6,4,3,1,3,4,3,1,1],[1,3,1,3,4,1,3,3,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,
1],[1,6,1,4,4,3,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,
3,1,4,1,3,3,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,3,3,4,3,1,3,4,1,1,1],[1,1,3,
3,4,3,1,3,4,1,1,1],[1,1,3,3,4,3,1,3,4,1,1,1],[1,12,1,1,6,1,4,1,3,2,1,1],[1,7,
1,7,7,1,7,1],[1,3,1,1,2,3,1,1,2,1],[1,5,1,2,1,5,1,2,1,1],[1,1,1,1,1,3,1,1],[1,
1,1,3,1,1,3,1],[1,3,8,1,3,1,6,3,4,6,2,1,2,1,1,3,2,1,2,1,1,1],[1,2,3,1,1,1,1,2,
3,1,1,1,1,1],[1,2,1,6,1,1,3,3,2,1,2,3,1,1,1,1],[1,8,1,3,3,1,4,6,6,3,2,1,2,1,1,
3,1,2,2,1,1,1],[1,2,1,6,1,1,3,3,2,1,2,3,1,1,1,1],[1,2,1,2,1,1,1,1,2,1,2,1,1,1,
1,1],[1,3,3,9,1,9,1,9,1,3,3,3,3,1,3,1],[1,3,1,3,1,3,4,1,1,1,3,1,1,1,1],[1,3,1,
3,4,4,1,3,3,3,4,6,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,3,1,3,1,3,1,3,1,1,1,3,1,
1,1,1],[1,3,1,3,8,1,3,6,4,6,1,1,1,2,2,3,1,2,1,1,2,1],[1,6,3,1,3,1,3,2,3,3,1,1,
1,1],[1,6,1,6,1,3,3,1,2,1,2,3,1,1,1,1],[1,12,1,1,1,1,6,6,6,1,2,1,2,1,1,3,1,2,
2,1,1,1],[1,6,1,2,1,3,3,1,2,1,2,3,1,1,1,1],[1,6,1,6,1,3,1,3,2,1,2,3,1,1,1,1],[
1,6,3,1,3,1,3,3,2,3,1,1,1,1],[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],[1,6,1,6,1,3,3,1,1,2,2,3,1,1,1,1],[1,1,6,1,7,1,3,1,3,6,6,1,
2,1,1,2,3,1,1,1,2,2,1],[1,1,6,3,5,1,3,3,1,6,6,1,2,1,2,1,3,1,1,1,2,2,1],[1,6,1,
6,1,3,1,3,1,2,2,3,1,1,1,1],[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,3,3,1,4,3,1,
1,1,3,1,1,1,1],[1,6,1,2,1,3,3,1,1,2,2,3,1,1,1,1],[1,1,1,1,1,6,1,1,1,1,3,1,1,1,
1],[1,1,3,3,1,1,3,3,1,1,1,3,1,1,1,1],[1,6,3,4,3,1,3,4,3,1,1],[1,6,3,4,3,1,3,4,
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],[1,6,3,4,3,1,3,4,3,1,
1],[1,6,3,4,3,1,3,4,3,1,1],[1,6,3,4,3,1,3,4,3,1,1],[1,3,1,3,4,1,3,3,4,1,1,1],[
1,1,3,3,4,3,1,3,4,1,1,1],[1,6,3,4,3,1,3,4,3,1,1],[1,6,3,4,3,1,3,4,3,1,1],[1,6,
3,4,3,3,1,4,3,1,1],[1,6,3,4,3,1,3,4,3,1,1],[1,6,1,4,4,3,4,1,1,1],[1,6,3,4,3,1,
3,4,3,1,1],[1,6,3,4,3,1,3,4,3,1,1],[1,7,4,7,4,1,1,1],[1,9,4,4,3,4,3,1,1],[1,3,
4,4,1,6,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,7,4,7,4,1,1,1],[1,1,6,4,3,4,4,1,1,
1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,
1,1],[1,2,1,4,4,2,2,1,4,2,4,1],[1,3,1,1,3,1],[1,14,1,7,1,1,2,1],[1,1,7,1,1,
1],[1,3,1,1,1,3,1,1],[1,1,1,1,1,1,1,1],[1,5,1,1,5,1,1,1],[1,15,1,1,5,3,1,1],[
1,5,1,1,5,1,1,1],[1,3,1,1,1,3,1,1],[1,5,1,1,5,1,1,1],[1,15,1,1,5,3,1,1],[1,3,
1,1,1,3,1,1],[1,5,1,1,5,1,1,1],[1,15,1,1,5,3,1,1],[1,6,5,6,1,5,6,10,3,6,10,1,
2,1,1,6,5,3,3,1,3,6,2,2,2,3,2,6,2,2,2,5,6,2,1,1,1,2,1,2,1,1,1,1,3,2,1,2,1,2,1,
2,1,1,1,1,1],[1,4,8,8,3,6,16,8,1,1,4,2,6,5,8,3,1,6,1,4,2,8,1,2,2,4,6,2,2,1,1,
2,1,1,1,2,2,2,1,3,2,1,1,2,1,1,1,2,2,1,1,1],[1,4,5,8,3,3,3,10,3,6,8,1,1,1,1,6,
3,1,3,1,5,3,5,6,1,1,1,3,1,3,1,2,1,1,1,1,5,3,6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,4,3,3,9,2,2,2,1,2,9,9,1,9,2,6,2,2,1,2,
2,2,4,3,1,3,9,1,1,1,1,1,1,1,1,1,1],[1,4,3,1,7,2,2,2,1,2,3,3,2,2,2,1,3,2,2,1,2,
2,2,1,2,1,1,3,1,3,2,1,1,1,1,1,1,1,1],[1,4,4,4,1,4,3,3,2,4,2,2,4,4,4,1,2,4,3,3,
2,3,2,6,3,2,2,3,3,6,2,1,2,2,2,2,2,2,2,2,2,1,1,2,1,1,2,2,2,2,3,1,3,1,3,2,3,1,2,
2,1,1,2,2,1,1,1,1,1],[1,4,3,1,5,6,2,2,2,1,2,3,3,6,6,1,2,3,6,6,2,2,1,2,2,2,4,1,
2,1,3,1,3,1,6,1,1,1,1,1,1,1,1],[1,4,4,8,4,3,2,8,4,8,8,1,1,6,4,2,3,4,3,1,6,4,2,
1,4,2,4,1,2,2,6,4,2,4,2,1,1,2,1,1,3,2,2,1,2,1,2,1,1,2,1,1,1,2,2,1,1,1],[1,2,6,
6,9,1,6,6,2,1,6,9,3,18,3,6,6,1,3,3,2,6,6,3,3,3,3,9,3,6,3,1,3,1,3,1,3,1],[1,2,
4,2,3,1,2,2,1,2,2,3,1,3,4,2,1,1,1,2,2,1,1,4,1,1,3,1,1,1,1,1,1,1,1,1],[1,2,4,6,
2,3,6,1,2,4,2,4,1,1,2,1,3,3,3,3,6,9,4,2,4,6,6,1,1,1,2,2,2,2,4,1,3,2,1,1,2,2,1,
3,1,3,2,2,4,6,2,1,2,1,1,2,1,1,2,1,1,2,1],[1,2,4,2,3,1,2,2,1,2,2,3,1,3,4,2,1,1,
1,2,2,1,1,4,1,1,3,1,1,1,1,1,1,1,1,1],[1,6,3,2,3,9,6,6,3,6,6,1,9,9,1,1,9,3,1,6,
2,3,6,3,3,6,3,3,3,9,3,3,1,3,1,3,3,3,3,1,1,1],[1,6,3,2,1,7,6,6,3,6,6,1,3,2,3,2,
1,2,2,2,2,2,3,6,3,2,4,1,2,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,8,6,8,1,6,1,1,12,24,
4,12,24,8,8,4,6,12,3,12,6,4,12,1,3,8,6,24,12,12,12,8,12,24,4,12,4,1,4,3,6,3,4,
2,8,6,6,4,1,1],[1,6,3,6,1,3,2,2,6,6,3,6,6,4,4,1,1,2,3,3,1,1,2,1,3,2,4,4,2,2,2,
2,3,6,2,2,2,3,2,2,2,2,2,4,1,2,1,1,1,1,1,2,1,1,1,2,1,2,2,1,2,1,2,1,1,1,1,1],[1,
6,3,2,1,9,2,6,6,3,6,6,1,3,9,6,1,3,1,3,1,6,6,2,3,6,3,3,6,3,1,2,3,3,3,3,6,3,1,1,
3,3,3,3,1,1,1],[1,6,3,2,1,3,4,6,6,3,6,6,1,3,3,2,2,1,2,2,2,2,2,3,6,3,2,4,1,2,1,
1,1,1,2,2,1,1,1,1,1,1,1,1],[1,4,6,8,2,1,2,6,12,4,4,4,1,4,2,1,2,3,8,1,2,1,4,2,
4,2,4,1,2,6,2,1,2,2,4,2,2,4,2,1,1,2,1,2,2,1,2,1,1,1,2,2,1,2,1,1,1,1,2,2,1,1,
1],[1,4,3,8,5,2,1,3,6,3,10,4,4,1,1,1,2,1,3,1,3,1,1,3,4,4,5,2,2,2,1,1,1,3,1,1,
3,1,2,1,1,2,1,3,3,1,2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1],[1,4,6,4,5,6,12,4,4,3,6,4,4,2,2,4,6,4,4,1,1,2,1,4,4,1,2,2,1,1,
1],[1,4,6,4,1,4,6,12,4,4,3,6,4,4,2,2,4,6,4,4,1,2,1,1,4,4,1,2,2,1,1,1],[1,4,1,
4,3,3,2,2,2,1,2,3,3,2,2,1,3,2,2,2,1,2,2,2,3,1,1,1,3,1,2,2,1,1,1,1,1,1,1,1],[1,
4,1,4,1,9,2,2,2,1,2,1,2,2,1,2,2,4,1,1,2,2,2,2,1,2,2,2,4,1,2,1,1,1,1,1,2,2,2,4,
1,1,1,1,1,1,1,1],[1,4,2,12,1,2,1,1,2,4,2,2,4,4,4,2,4,2,2,1,6,2,6,4,4,6,4,1,1,
4,1,4,2,2,2,2,2,2,2,4,1,2,2,2,2,4,1,3,1,2,2,2,2,2,4,1,2,2,1,1,1],[1,4,1,4,1,5,
4,2,2,2,1,2,1,2,1,2,2,2,2,1,1,2,2,2,2,2,1,2,2,2,4,1,2,1,1,1,1,1,2,2,2,4,1,1,1,
1,1,1,1,1],[1,4,1,4,1,3,2,2,2,2,1,2,1,3,2,2,2,1,4,1,2,2,1,2,2,2,1,2,1,1,1,1,1,
2,2,2,1,1,1,1,1,1,1,1],[1,4,2,8,6,1,2,2,4,4,12,4,4,1,2,2,1,4,1,4,1,2,1,4,2,4,
4,2,2,2,1,4,2,2,1,2,2,2,4,2,4,4,2,1,1,2,2,1,2,1,2,1,1,1,2,2,1,2,1,1,1,1,2,2,1,
1,1],[1,2,4,10,3,1,6,6,1,2,8,3,5,3,2,8,2,2,3,2,6,1,2,2,1,4,1,1,2,4,1,1,1,1,1,
1,1,1],[1,2,2,6,5,1,2,2,1,4,2,1,3,4,3,2,2,2,1,2,2,2,1,2,2,2,1,1,1,4,1,1,1,1,1,
1,1,1],[1,2,2,10,2,1,2,1,2,4,2,4,2,4,1,1,5,2,2,1,4,4,4,2,2,2,1,2,2,2,4,2,1,2,
1,2,1,1,2,2,4,1,1,1,1,1,1,1,1],[1,2,2,6,1,4,1,2,2,1,2,2,2,1,3,3,4,2,2,2,1,2,2,
2,1,2,2,1,1,1,1,1,4,1,1,1,1,1,1,1,1],[1,4,2,4,3,6,1,3,2,4,2,2,4,4,4,6,1,2,6,2,
2,1,6,2,2,3,3,3,6,1,2,2,2,2,2,2,2,2,2,2,2,1,2,3,1,6,1,2,2,2,2,1,3,2,1,1,1,2,2,
2,2,1,1,1,1,1],[1,4,1,3,3,2,6,2,2,2,3,1,2,3,1,3,2,6,6,6,6,2,1,2,2,2,2,4,1,1,3,
1,3,1,2,6,1,1,1,1,1,1,1,1],[1,4,2,4,1,6,1,5,2,4,2,2,4,4,4,2,2,1,2,6,2,2,2,2,1,
2,2,2,1,4,4,6,2,1,2,2,2,2,2,4,2,4,1,1,1,1,2,1,1,2,2,2,2,4,4,2,2,2,1,1,1,4,4,1,
1,1,1,1],[1,4,1,1,7,2,4,2,2,2,1,2,1,2,2,1,3,2,2,1,2,2,4,6,6,4,1,2,2,2,2,4,1,1,
1,1,1,1,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,4,2,4,1,10,1,1,2,4,2,2,4,4,4,2,8,1,2,2,
2,2,4,2,2,1,8,5,4,1,2,2,2,2,4,4,2,2,4,1,2,1,1,1,2,4,4,4,2,2,2,2,1,2,2,4,1,2,1,
1],[1,4,1,1,5,2,2,2,2,2,1,2,2,1,2,1,2,1,3,2,2,2,1,2,2,2,2,1,1,1,1,1,1,2,2,2,2,
1,1,1,1,1,1,1,1],[1,4,2,4,1,2,1,1,2,4,2,2,4,4,4,2,4,1,2,2,2,2,4,1,1,1,2,2,2,2,
2,2,2,2,1,1,2,2,2,2,2,1,1,2,1,1],[1,4,4,12,1,4,3,3,2,12,2,2,12,12,12,1,12,4,3,
3,6,3,6,3,6,12,12,6,12,3,3,6,1,6,6,4,6,12,12,6,12,6,6,24,1,1,1,6,6,6,3,3,3,3,
3,6,6,6,3,2,6,2,2,6,6,1,3,1],[1,4,2,4,1,2,5,5,2,4,2,2,4,4,4,2,1,2,4,4,2,4,2,2,
5,1,8,2,6,1,2,4,2,4,2,2,2,2,1,1,4,2,1,2,1,4,4,4,2,2,2,1,2,2,2,4,1,1,2,1],[1,4,
2,4,1,2,1,1,2,4,2,2,4,4,4,2,2,2,2,1,2,2,2,2,2,1,1,1,2,2,4,2,4,4,2,4,2,2,1,2,2,
2,1,2,1,1,1,1,1,2,2,2,4,2,1,1,1],[1,4,2,4,1,6,1,5,2,4,2,2,4,4,4,2,2,1,2,6,2,2,
2,2,4,1,2,2,1,4,4,6,1,2,2,2,2,4,2,4,2,1,2,1,1,2,2,1,2,2,2,4,4,2,2,2,1,2,2,2,4,
1,1,2,1],[1,4,2,4,1,2,1,9,2,4,2,2,4,4,4,2,1,2,2,8,2,2,1,4,1,8,4,4,4,1,2,2,2,2,
2,2,8,1,1,4,2,2,4,2,4,4,2,1,2,1,1,2,4,2,2,1,1,2,1],[1,4,2,4,1,2,1,1,2,4,2,2,4,
4,4,2,4,1,2,2,2,2,1,2,1,2,1,2,2,2,2,2,2,1,2,1,1,1,2,2,2,2,1,2,2,1,1,1],[1,4,2,
4,1,2,1,1,2,4,2,2,4,4,4,2,1,2,2,2,2,1,1,4,4,1,2,2,2,2,2,2,1,1,2,2,2,2,2,2,1,4,
1,1,1],[1,4,2,4,1,2,1,1,2,4,2,2,4,4,4,2,1,2,4,2,2,2,1,1,2,2,1,2,2,2,2,2,2,1,1,
2,2,1,1,2,2,2,1,2,2,1,1,1],[1,4,1,1,3,2,8,2,2,2,1,1,2,2,3,1,2,2,3,6,2,6,2,4,4,
1,2,2,2,2,4,1,1,1,1,1,1,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,2,4,6,2,3,6,1,6,6,1,1,6,
1,3,3,3,3,6,9,6,6,6,1,3,3,2,6,1,2,3,3,3,3,3,3,3,6,6,3,1,3,1,1,3,3,1],[1,2,2,6,
4,5,4,1,2,4,2,4,1,2,2,1,3,4,3,4,2,4,2,4,4,12,2,4,1,1,2,2,1,2,2,4,1,2,1,2,1,2,
3,4,1,1,4,2,2,4,2,4,1,2,1,1,2,1,1,2,1,1,2,1],[1,2,2,2,2,1,2,1,2,2,2,2,1,1,1,4,
2,1,2,2,1,1,1,2,2,2,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,2,2,2,2,1,2,1,2,2,2,1,
2,1,1,4,2,1,2,2,1,1,1,2,2,2,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,4,2,4,4,5,2,4,
4,8,4,4,1,2,4,4,4,2,2,2,4,2,4,4,4,1,1,2,1,4,4,1,2,2,1,1,1],[1,4,2,4,4,1,4,2,4,
4,8,4,4,1,2,4,4,4,2,2,2,4,2,4,4,4,1,2,1,1,4,4,1,2,2,1,1,1],[1,4,2,4,4,1,4,2,4,
4,8,4,4,1,2,4,2,4,4,2,2,4,2,4,4,4,1,2,4,1,2,1,2,1,2,2,1,1,1],[1,4,2,4,4,1,4,2,
4,4,8,4,4,1,2,4,2,4,4,2,2,4,2,4,4,4,1,2,4,2,1,1,2,1,2,2,1,1,1],[1,2,4,10,3,1,
6,6,1,8,2,3,5,3,2,8,2,2,3,2,6,1,2,4,2,1,1,1,2,4,1,1,1,1,1,1,1,1],[1,2,2,6,5,1,
2,2,1,2,4,1,3,4,3,2,2,2,1,2,2,2,1,2,1,2,2,1,1,4,1,1,1,1,1,1,1,1],[1,2,2,6,1,4,
1,2,2,1,2,2,2,1,3,3,4,2,2,2,1,2,2,2,1,2,1,1,2,1,1,1,4,1,1,1,1,1,1,1,1],[1,2,2,
10,2,1,2,1,2,4,2,4,4,1,2,1,5,2,2,1,4,4,4,2,2,2,1,2,2,2,4,2,2,1,2,1,1,1,2,2,4,
1,1,1,1,1,1,1,1],[1,2,3,6,3,9,6,1,6,1,6,9,9,3,6,1,9,1,3,6,2,3,6,1,3,3,3,3,9,3,
3,3,3,6,1,3,3,1,1,3,3,1],[1,2,3,6,1,7,6,1,6,1,6,3,3,2,2,3,6,2,2,2,2,2,3,6,2,1,
2,3,1,1,1,1,2,2,4,1,1,1,1,1,1,1,1],[1,2,5,10,1,5,10,1,10,1,1,1,6,5,3,3,1,6,2,
5,6,6,2,5,6,2,2,6,2,1,1,1,2,1,1,2,1,1,2,3,2,2,3,1,2,1,2,2,1,1,2,2,1,1,1,1,1],[
1,2,3,6,1,5,6,6,1,6,1,6,3,3,6,6,3,6,1,1,3,3,6,6,2,3,6,1,3,1,2,3,3,3,3,3,6,3,6,
3,1,3,3,1,1,3,3,1],[1,2,3,6,1,7,6,1,6,1,6,3,3,2,2,3,6,2,2,2,2,2,3,6,2,1,2,3,1,
1,1,1,2,2,4,1,1,1,1,1,1,1,1],[1,2,3,6,3,9,6,1,6,1,6,9,9,3,6,1,1,9,3,6,2,3,6,1,
3,3,3,3,9,3,3,3,3,3,3,1,3,3,1,1,3,3,1],[1,2,1,2,3,3,2,1,2,2,1,3,3,1,1,3,1,1,2,
2,1,2,1,1,1,3,1,1,3,1,1,1,1,1,1,1,1,1,1,1],[1,2,1,2,1,9,2,1,2,2,1,1,2,2,1,1,4,
2,2,2,2,2,1,2,2,2,1,1,2,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,2,3,10,1,3,2,2,6,1,
6,4,4,2,1,1,2,3,3,1,6,1,1,5,2,4,6,4,2,2,2,3,2,2,2,6,2,2,4,2,1,2,2,2,1,1,1,1,2,
1,1,2,3,1,1,2,1,2,2,1,1,2,2,1,1,1,1,1],[1,2,1,2,1,3,2,2,1,2,2,1,1,3,2,1,1,1,1,
1,2,2,2,1,2,1,1,1,1,2,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,2,1,2,1,5,4,2,1,2,2,1,
1,2,1,2,1,2,4,2,2,2,2,1,2,2,2,1,1,2,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,2,3,6,3,
9,6,1,6,1,9,9,6,3,6,1,9,1,3,6,3,2,6,1,3,3,3,9,3,3,3,3,3,6,3,1,3,1,1,3,3,1],[1,
2,1,6,3,3,2,6,2,1,2,4,4,2,3,1,3,3,2,4,4,1,3,1,3,6,6,6,6,1,2,2,1,1,2,2,4,1,1,1,
1,3,3,3,1,2,2,4,2,2,6,2,2,1,1,1,2,2,1,1,1,1,2,2,1],[1,2,1,2,3,3,2,1,2,1,3,3,2,
1,1,3,1,1,2,1,2,2,1,1,3,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,3,6,1,9,2,6,1,6,1,
3,9,6,6,3,6,3,3,1,1,6,6,3,2,6,3,1,1,2,3,3,3,3,3,6,6,3,3,3,1,3,1,1,3,3,1],[1,2,
1,6,1,5,2,2,2,1,2,4,4,2,1,2,2,1,1,3,2,4,4,2,2,2,2,2,2,1,2,2,2,2,4,1,1,1,1,1,1,
2,2,2,2,4,1,1,1,1,1,1,1,1],[1,2,1,2,1,5,4,2,1,2,1,1,2,1,2,2,1,2,2,2,2,2,2,1,2,
2,2,2,1,2,1,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,2,3,6,1,7,6,1,6,1,3,2,3,2,6,3,6,
2,2,2,2,3,2,6,2,1,2,1,1,1,3,1,2,2,4,1,1,1,1,1,1,1,1],[1,2,1,6,1,7,2,4,2,1,2,4,
4,2,1,2,1,2,1,3,2,4,4,3,1,3,2,1,2,4,6,6,4,1,2,2,1,2,2,1,4,1,1,1,1,1,1,2,2,2,4,
2,3,2,1,2,2,2,2,4,1,1,1,2,2,1,1,1,1,2,2,1],[1,2,1,2,1,9,2,1,2,1,1,2,2,1,2,1,4,
4,2,2,1,2,2,4,1,2,1,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,2,3,6,1,3,4,6,1,6,1,3,3,
2,6,2,3,6,2,2,2,2,3,2,6,2,1,2,1,1,1,3,1,2,2,4,1,1,1,1,1,1,1,1],[1,2,1,6,1,5,2,
2,2,1,2,4,4,2,1,2,2,1,1,3,2,4,4,2,2,2,2,2,2,1,2,2,2,2,4,1,1,1,1,1,1,2,2,2,2,4,
1,1,1,1,1,1,1,1],[1,2,1,2,1,3,2,2,1,2,1,1,3,2,2,1,1,1,1,1,2,2,1,2,2,1,1,1,2,1,
1,1,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,2,1,6,5,2,7,2,1,4,4,2,2,1,1,3,2,4,4,3,2,1,1,
2,6,4,9,3,4,2,2,2,1,1,2,3,4,1,1,2,2,1,1,1,1,2,3,3,3,3,2,2,1,2,1,4,1,1,1,2,1,1,
1,1,1,1,2,1,1,1],[1,5,3,15,1,1,1,15,9,9,3,1,15,6,6,1,3,3,3,3,3,3,5,9,9,3,6,3,
1,3,1,3,1,3,1],[1,5,1,5,1,1,1,5,3,3,1,3,3,2,1,1,1,1,1,1,1,1,3,3,5,1,1,1,1,1,1,
1,1],[1,8,1,8,3,3,1,4,2,8,3,12,2,5,3,10,3,3,5,6,2,1,2,1,1,4,2,1,2,4,2,2,2,1,2,
2,5,3,3,3,3,2,1,2,1,2,1,1,1,2,1,2,1,1,1],[1,5,1,11,6,1,1,1,5,3,9,3,10,6,3,3,6,
10,6,1,1,3,2,1,1,2,2,1,1,2,2,3,1,5,3,2,6,6,4,2,1,2,1,1,2,1,1,2,1,1,2,1],[1,5,
1,5,1,1,1,5,3,3,1,1,5,2,1,1,1,1,1,1,1,3,5,3,1,1,1,1,1,1,1,1,1],[1,10,9,2,4,4,
11,18,6,2,4,6,1,4,2,9,1,4,2,1,2,1,1,1],[1,8,4,3,1,1,4,2,2,5,2,3,5,2,2,1,2,2,3,
1,2,2,1,1,4,2,1,1,1,1,1,1,1,1],[1,8,2,3,6,1,4,2,1,2,5,3,6,9,6,6,2,2,1,2,2,1,2,
2,1,3,1,3,1,4,6,1,1,1,1,1,1,1,1],[1,4,3,12,3,9,1,12,9,3,3,18,9,1,12,9,9,6,9,
18,18,18,3,1,3,4,9,9,9,18,9,9,9,18,6,3,9,18,18,1,3,3,3,3,9,9,1],[1,3,4,3,9,1,
9,9,2,2,2,2,1,9,2,6,2,3,2,3,9,1,1,1,1,2,2,2,4,1,1,1,1,1,1,1,1],[1,4,1,4,3,3,1,
4,3,3,3,6,3,2,2,3,2,3,6,2,1,1,1,1,1,2,3,3,1,1,3,3,2,2,2,1,1,1,1,1,1,1,1],[1,3,
4,1,5,6,1,3,3,2,2,6,6,2,2,1,2,3,2,6,6,1,2,2,1,1,1,1,3,3,2,6,2,2,4,1,1,1,1,1,1,
1,1],[1,4,1,12,3,3,1,4,3,8,4,3,3,6,3,4,3,8,7,6,4,1,4,1,1,4,2,3,3,4,3,3,2,4,4,
4,2,2,2,2,2,1,2,2,1,2,1,2,2,1],[1,3,4,1,7,1,3,3,2,2,2,2,2,2,2,1,3,2,1,2,2,1,3,
1,3,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,4,1,4,3,3,1,4,3,3,3,6,3,2,6,3,3,6,1,1,1,6,
1,6,3,3,3,3,3,6,6,2,1,3,6,3,1],[1,6,1,6,9,9,2,6,6,9,18,18,18,9,9,36,6,18,2,6,
6,9,18,18,18,9,9,36,6,18,6,1,6,9,9,1],[1,4,8,1,4,3,3,1,4,4,3,3,4,3,4,6,3,4,4,
4,4,4,3,3,6,1,1,4,1,2,2,2,3,2,3,2,3,4,3,2,4,2,4,2,2,2,1,2,2,2,1,2,1,2,2,1],[1,
4,1,4,3,3,1,2,4,3,2,3,3,6,3,3,3,6,2,2,1,1,1,2,1,2,3,3,3,3,1,1,1,2,2,1,1,1,1,1,
1,1,1],[1,4,1,4,3,3,1,2,4,3,3,3,6,6,3,3,3,6,1,1,1,1,6,6,3,3,3,3,3,6,6,1,2,3,6,
3,1],[1,4,1,8,3,15,1,4,5,3,3,18,21,2,3,6,2,3,18,12,30,12,12,1,1,5,1,3,3,6,9,9,
3,18,6,12,6,24,6,6,6,3,3,24,1,2,2,2,3,3,6,6,6,1],[1,4,1,4,3,3,1,4,3,3,3,6,3,4,
3,3,6,4,1,1,1,2,3,3,2,2,3,3,2,2,2,1,2,1,1,2,1],[1,4,1,4,3,3,1,4,3,4,3,3,6,3,3,
3,6,4,1,1,1,2,3,3,3,3,2,2,2,2,2,1,2,1,1,2,1],[1,4,1,4,3,3,1,4,3,3,3,6,3,3,2,3,
6,6,1,1,1,1,3,3,3,3,3,6,6,6,6,1,2,3,3,6,1],[1,3,4,1,5,6,1,3,3,2,2,6,6,2,2,1,2,
3,6,6,2,1,2,2,1,1,3,1,3,1,2,6,2,2,2,2,1,1,1,1,1,1,1,1],[1,6,4,9,2,4,4,9,18,2,
6,2,4,6,1,4,2,9,1,4,2,1,2,1,1,1],[1,4,4,4,3,1,1,2,4,2,3,2,3,5,2,2,2,1,2,2,3,1,
2,1,2,1,4,2,1,1,1,1,1,1,1,1],[1,4,6,3,6,1,2,1,4,2,3,3,6,9,2,6,6,2,2,1,2,2,1,2,
3,1,2,1,3,1,6,4,1,1,1,1,1,1,1,1],[1,4,6,3,6,1,1,4,4,3,3,6,9,2,6,6,2,2,1,2,2,3,
1,2,2,2,3,1,6,2,2,1,1,1,1,1,1,1,1],[1,3,4,5,3,1,2,2,2,2,3,3,2,2,1,2,2,3,2,2,1,
1,2,1,1,2,1,3,3,2,2,1,1,1,1,1,1,1,1],[1,6,13,2,9,18,12,6,6,9,6,1,3,6,1,3,3,
1],[1,6,9,4,2,9,18,6,6,6,6,9,6,1,3,6,1,3,3,1],[1,3,4,3,9,2,1,2,9,9,2,2,1,9,2,
2,6,2,1,2,3,1,3,1,9,1,2,2,4,1,1,1,1,1,1,1,1],[1,3,4,1,7,2,1,2,3,2,3,2,2,2,2,3,
1,2,2,1,2,1,2,1,1,1,3,3,2,2,2,1,1,1,1,1,1,1,1],[1,6,8,1,6,1,1,2,4,4,6,12,3,4,
2,6,4,4,4,4,4,1,3,4,1,4,2,2,4,1,4,4,2,2,4,2,3,2,1,3,2,2,2,2,2,4,1,2,1,2,1,1],[
1,3,4,1,9,2,2,1,2,3,9,6,2,2,3,2,1,6,6,2,2,1,2,1,2,1,3,1,3,1,6,2,2,4,1,1,1,1,1,
1,1,1],[1,3,4,1,3,4,2,1,2,3,3,2,2,2,2,1,3,2,2,2,1,2,1,2,1,1,3,3,1,2,2,2,1,1,1,
1,1,1,1,1],[1,6,8,5,2,4,4,3,4,4,2,4,2,2,4,2,4,1,4,2,1,1,4,4,4,2,2,1,1,1,1],[1,
6,8,1,4,2,4,4,3,4,2,4,4,2,2,4,2,4,1,4,2,1,1,4,4,4,2,2,1,1,1,1],[1,6,4,2,1,2,1,
4,2,1,2,3,2,5,2,1,2,2,2,1,2,2,1,2,2,1,1,2,1,2,2,2,1,1,1,1,1,1,1,1],[1,2,3,6,1,
3,2,6,1,2,6,1,6,3,3,2,3,6,2,1,2,2,2,1,3,1,6,1,2,1,3,2,1,1,1,1,1,1,1,1],[1,1,4,
3,3,2,6,2,3,2,1,3,2,2,1,3,2,6,6,2,6,6,1,2,2,1,1,1,3,1,3,2,2,4,2,6,1,1,1,1,1,1,
1,1],[1,2,1,6,1,5,2,2,2,1,2,6,2,2,2,2,1,2,2,1,4,4,6,1,2,2,1,1,2,1,1,2,1,1,2,2,
2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,1,7,2,4,2,1,2,2,1,2,1,2,2,3,2,2,1,2,4,6,6,4,2,
1,2,2,1,1,1,1,1,1,2,2,2,2,4,2,2,4,1,1,1,1,1,1,1,1],[1,2,1,10,1,1,2,2,8,1,2,2,
4,4,1,8,5,4,1,2,2,4,2,1,1,2,2,4,2,2,2,2,1,1,2,1,1],[1,1,4,1,5,2,2,2,1,2,2,2,1,
1,2,2,2,1,3,2,2,2,1,2,2,1,1,1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,2,1,2,1,1,
2,2,4,1,2,2,2,2,1,1,1,2,2,2,1,2,1,1,1,2,2,2,2,1,1,2,1,1],[1,2,8,1,2,5,5,2,4,2,
1,4,4,2,2,4,4,4,4,4,4,5,1,8,2,6,1,2,4,4,2,2,2,2,1,2,4,1,1,1,4,2,4,4,2,2,2,2,1,
2,2,2,4,1,1,2,1],[1,2,1,2,1,1,2,2,2,2,1,6,2,1,1,1,2,2,2,1,2,1,3,1,2,2,1,2,2,1,
1,1],[1,2,1,2,1,1,4,2,1,4,2,1,1,2,2,2,4,4,1,2,1,1,2,2,2,2,2,1,1],[1,2,1,6,1,5,
2,2,2,1,2,6,2,2,1,2,2,1,4,4,6,4,1,2,2,1,1,1,2,1,2,2,2,2,2,2,2,2,1,2,1,1,2,1],[
1,2,1,2,1,9,2,2,1,2,2,8,4,1,4,1,8,4,4,1,2,2,2,1,1,2,4,2,4,2,2,1,1,1,2,1,1,2,
1],[1,2,1,2,1,1,2,2,4,1,2,2,1,1,4,1,2,2,2,1,1,2,2,2,2,2,1,1,1,1],[1,2,1,2,1,1,
2,2,1,2,2,1,2,1,2,4,1,2,2,1,1,1,1,2,2,2,2,2,1,1,1,1],[1,1,4,1,3,2,8,2,1,2,1,2,
3,2,2,1,2,2,3,6,2,6,2,4,4,1,2,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,
1],[1,2,8,4,5,2,4,4,1,4,4,2,4,2,2,2,4,2,4,2,4,1,1,1,4,4,4,2,2,1,1,1,1],[1,2,4,
6,1,2,1,2,2,1,4,1,2,5,2,1,2,2,2,2,1,2,2,1,2,1,2,1,2,1,2,2,2,1,1,1,1,1,1,1,1],[
1,2,8,4,1,4,2,4,4,1,4,2,4,4,2,2,2,4,2,4,2,4,1,1,1,4,4,4,2,1,2,1,1,1],[1,2,5,2,
1,2,2,4,2,1,2,2,1,2,1,1,1,1,1],[1,2,1,4,2,1,2,2,2,2,2,1,2,1,2,2,1,1,1,1,1],[1,
2,1,4,2,1,2,2,4,2,1,2,1,2,2,1,1,1,1,1],[1,2,1,4,2,1,2,2,4,2,1,2,1,2,2,1,1,1,1,
1],[1,6,3,18,1,3,4,18,36,3,18,1,18,3,3,24,9,18,12,1,12,6,36,9,18,9,36,1,9,6,4,
3,12,3,9,1],[1,3,4,3,9,1,2,9,9,2,2,2,1,9,2,6,2,3,2,1,2,3,9,1,1,1,2,2,4,1,1,1,
1,1,1,1,1],[1,3,3,9,2,6,1,1,9,9,3,1,3,1,9,6,6,6,6,6,3,1,3,3,3,3,9,3,3,3,3,6,2,
6,1,3,3,1,3,1,3,1],[1,6,1,10,1,5,4,6,2,12,4,3,10,2,2,1,2,2,3,4,4,6,4,4,1,4,4,
1,2,3,2,1,4,2,2,3,4,2,2,2,2,2,2,1,2,2,4,1,1,2,1],[1,3,4,1,7,1,2,3,2,3,2,2,2,2,
2,1,3,2,1,2,2,1,2,1,1,3,1,3,2,2,2,1,1,1,1,1,1,1,1],[1,3,1,13,2,4,1,1,3,2,9,3,
1,6,1,5,2,1,2,6,4,6,10,4,1,2,1,2,1,1,2,1,2,1,3,1,1,3,4,2,2,3,6,2,2,2,2,4,1,1,
1,2,2,1,1,2,1,1,2,1],[1,6,1,6,1,1,4,6,12,3,6,4,1,2,3,2,4,1,4,1,2,3,2,1,3,2,2,
2,2,1,2,1,1,1],[1,3,4,1,9,2,1,2,3,9,2,6,2,2,3,2,1,2,6,6,1,2,2,1,2,1,3,1,1,3,6,
2,2,4,1,1,1,1,1,1,1,1],[1,3,1,3,2,2,1,1,3,3,1,1,1,1,5,2,2,2,1,1,1,1,1,1,1,3,1,
3,1,2,2,1,1,1,1,1,1,1,1],[1,6,1,6,1,1,4,6,12,3,6,4,4,1,3,4,1,4,6,12,3,6,3,4,4,
1,4,6,1],[1,3,4,1,3,4,1,2,3,3,2,2,2,2,2,3,1,2,2,1,2,2,1,2,1,3,3,1,1,2,2,2,1,1,
1,1,1,1,1,1],[1,3,1,3,2,2,1,1,3,3,1,1,1,3,3,2,2,2,1,1,1,1,1,1,3,3,1,1,1,2,2,1,
1,1,1,1,1,1,1],[1,6,1,6,5,5,4,6,12,3,4,6,4,5,3,8,2,6,2,2,4,1,4,3,4,3,1,1,1,1,
4,4,4,2,2,2,2,4,4,1,1,1,1,1,4,1,1,4,1],[1,6,1,6,1,1,4,6,12,3,8,6,1,3,4,1,4,3,
4,3,4,4,1,2,2,2,1],[1,6,1,6,1,9,4,6,12,3,6,8,1,4,3,8,4,4,4,4,1,4,3,4,3,2,2,8,
4,2,2,1,1,2,4,4,1,2,1,1,4,2,2,2,1],[1,6,1,6,1,1,4,6,12,3,6,1,3,8,4,1,4,3,4,3,
4,4,1,2,4,1],[1,6,4,5,4,4,2,4,3,4,4,2,4,12,2,4,2,4,1,4,2,4,2,1,1,4,4,4,2,1,1,
2,1,1],[1,6,4,1,8,4,2,4,3,4,6,4,4,8,2,2,4,4,1,4,2,4,2,1,1,4,4,4,2,1,1,2,1,1],[
1,6,13,4,3,12,14,6,1,3,3,12,2,6,6,2,3,6,6,1],[1,6,5,4,3,4,8,2,2,1,1,4,1,4,1,2,
1],[1,6,5,4,3,4,2,10,1,1,1,4,4,1,2,1],[1,6,5,4,3,4,2,2,1,1,1,4,4,1,2,1],[1,6,
5,8,4,3,4,8,2,12,2,4,1,1,2,1,2,4,8,2,2,4,2,4,2,1,2,2,4,2,4,1],[1,6,5,4,3,4,2,
2,8,1,1,1,4,4,1,2,1],[1,6,1,4,4,3,8,4,2,2,1,4,1,1,4,2,1,1],[1,6,1,12,4,3,12,6,
6,8,1,3,3,12,2,3,3,6,1,1,3,6,3,3,1],[1,6,1,4,4,3,4,2,2,1,1,1,4,4,1,2,1],[1,1,
8,3,3,1,2,3,3,2,4,2,2,1,3,4,3,2,1,2,1,1,3,1,1,4,2,2,1,1,1,1,1,1,1,1],[1,2,3,6,
1,3,2,6,6,1,6,1,6,3,3,3,6,6,1,6,2,6,3,6,3,6,1,3,2,3,6,1,3,1],[1,1,8,1,9,1,2,1,
2,2,1,2,4,2,2,4,1,1,2,2,2,1,2,2,1,2,1,1,1,1,1,2,4,2,2,4,4,1,1,1,1,1,1,1,1],[1,
2,1,14,1,5,2,2,2,8,2,1,6,2,6,1,2,2,8,5,4,8,6,2,4,1,4,2,1,4,1,2,1,4,2,2,2,4,4,
1,2,2,2,2,2,2,1,2,2,4,1,1,2,1],[1,1,8,1,5,4,1,2,1,2,1,2,2,4,2,2,2,1,1,2,2,2,2,
1,2,2,1,2,1,1,1,1,1,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,2,1,2,1,1,2,2,2,1,2,2,2,
1,2,1,2,2,1,2,1,1,2,1,1,1,1,2,2,2,2,1,2,1,1,1],[1,1,8,1,3,2,1,2,1,3,2,2,4,2,2,
1,2,2,1,2,1,2,2,1,2,1,1,1,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,2,1,2,1,1,2,2,2,1,
2,2,6,1,1,2,1,2,2,1,2,1,3,1,2,2,2,1,2,1,1,1],[1,2,8,1,2,1,1,2,4,2,2,1,4,4,2,4,
4,4,4,4,1,1,2,1,2,2,2,2,1,2,2,1,2,2,2,2,2,1,2,1,2,1,1],[1,2,1,2,5,5,4,2,4,1,4,
2,4,5,1,8,2,6,4,2,4,1,4,2,1,1,4,2,2,2,1,2,1,1,1],[1,2,1,6,1,5,2,2,2,2,1,6,2,2,
1,2,2,1,4,4,6,4,2,1,2,1,1,2,1,2,2,1,2,2,2,2,2,2,1,2,1,1,2,1],[1,2,1,2,1,9,2,2,
6,1,2,8,1,4,1,8,4,4,2,1,2,2,1,4,3,2,2,4,2,1,1,1,2,1,1,2,1],[1,2,1,2,1,1,2,2,2,
1,2,1,2,1,6,2,1,2,1,1,3,1,2,2,2,2,1,1,1,1],[1,2,1,2,1,1,2,2,2,1,2,4,1,1,4,2,1,
2,2,1,2,2,1,2,2,2,1,1,1,1],[1,2,8,5,4,4,2,4,1,4,4,2,6,12,2,4,2,4,2,4,2,4,1,1,
1,4,4,4,2,1,2,1,1,1],[1,2,8,1,8,2,2,4,2,1,4,6,2,4,4,8,2,2,4,2,1,2,2,2,4,1,2,1,
1,1,4,2,2,4,1,1,1,1,1,1,1,1],[1,2,9,4,1,4,8,6,2,1,2,1,3,2,1,1,1,1],[1,2,5,4,4,
1,4,2,6,6,2,1,2,1,3,2,1,1,1,1],[1,2,8,3,6,1,3,4,6,1,4,6,4,4,4,4,4,1,6,4,3,3,3,
6,2,2,2,2,2,3,2,6,2,2,4,4,2,4,4,2,1,3,2,2,1,2,1,2,1,2,2,2,1],[1,2,8,1,6,1,5,4,
2,2,1,4,6,2,4,4,4,4,4,2,2,2,1,2,2,1,4,4,6,2,2,2,1,1,2,1,2,2,1,1,2,2,2,2,4,4,2,
4,4,2,2,2,2,2,1,2,1,1,2,2,4,1],[1,2,8,1,10,1,1,4,2,8,1,4,2,4,4,4,4,4,4,1,2,8,
5,4,2,2,2,2,1,4,1,2,1,2,4,2,2,2,8,2,8,2,2,2,2,1,2,1,1,4,4,1],[1,2,8,1,2,1,1,4,
2,4,1,4,2,4,4,4,4,4,2,2,1,1,2,2,2,2,1,2,1,2,1,2,2,2,2,2,2,2,1,2,1,1,1],[1,2,
16,1,2,1,1,8,2,1,8,2,8,8,8,8,8,1,1,2,2,4,4,4,1,4,1,1,4,4,4,8,8,2,2,2,2,2,1,4,
4,1],[1,2,8,1,6,1,5,4,2,2,1,4,6,2,4,4,4,4,4,2,1,2,2,1,4,4,6,4,2,2,2,1,1,2,2,1,
2,2,2,2,2,2,2,2,8,4,4,2,2,2,1,4,1,2,1,2,4,1],[1,2,8,1,2,1,9,4,2,1,4,2,8,4,4,4,
4,4,1,4,2,1,8,2,4,4,2,2,2,1,1,2,4,1,2,2,4,2,2,2,8,4,4,2,2,1,1,1,4,1,2,1,2,2,2,
1],[1,2,8,1,2,1,1,4,2,4,1,4,2,4,4,4,4,4,1,1,4,2,2,2,2,1,2,2,2,2,2,2,2,2,2,1,1,
1,4,1],[1,2,8,1,2,1,1,4,2,1,4,2,4,4,4,4,4,4,1,1,4,2,2,2,2,1,2,2,2,2,2,2,2,2,2,
1,1,1,4,1],[1,2,8,5,4,1,4,4,2,4,2,1,2,4,2,1,2,1,1,1,1,2,2,1],[1,2,8,1,4,4,1,4,
4,2,2,2,2,1,2,4,1,2,2,1,1,1,1,2,2,1],[1,2,8,1,4,4,1,4,4,2,4,2,1,2,4,1,2,2,1,1,
1,1,2,2,1],[1,2,8,1,4,4,1,4,4,2,4,2,1,2,4,1,2,2,1,1,1,1,2,2,1],[1,2,3,6,5,15,
6,1,4,6,12,1,6,15,15,3,24,6,24,2,18,12,2,3,12,6,12,1,3,12,12,5,3,24,6,18,6,3,
3,24,1,4,3,3,12,2,6,1],[1,2,3,6,1,3,6,1,4,6,1,6,3,3,3,6,4,2,3,2,6,2,2,2,2,1,3,
2,1,2,1,1,2,1],[1,2,3,6,1,3,6,1,6,1,6,3,3,3,6,2,6,2,3,6,1,3,1,3,6,6,6,6,1,3,3,
2,6,1],[1,2,3,6,3,9,6,1,6,1,6,9,9,3,6,1,9,1,3,6,2,3,6,1,3,3,3,3,9,3,3,3,3,3,3,
1,3,3,1,1,3,3,1],[1,1,4,3,3,2,6,3,2,1,2,3,2,2,1,3,2,6,6,6,6,2,1,1,3,1,1,3,1,2,
2,2,2,2,2,2,6,1,1,1,1,1,1,1,1],[1,2,1,10,5,13,2,4,1,4,10,8,4,5,4,4,9,32,16,28,
2,14,8,2,1,4,4,2,4,8,12,1,1,12,4,8,4,12,2,4,20,10,4,4,32,2,4,1,4,2,2,8,4,4,
1],[1,2,1,6,1,5,2,2,1,4,6,2,2,4,1,2,2,1,4,4,6,1,2,1,2,2,2,1,2,2,2,2,2,2,2,2,1,
2,1,1,2,1],[1,2,1,6,1,5,2,2,4,1,6,2,2,1,2,2,1,4,4,6,2,2,1,2,1,2,1,2,2,2,2,1,1,
2,2,2,2,2,1,1,1,2,2,1],[1,2,1,6,1,5,2,2,1,4,6,2,2,1,2,2,2,1,4,4,6,2,1,1,1,2,2,
1,1,2,2,2,2,2,2,2,2,2,1,1,2,1,2,1],[1,1,4,1,7,2,4,1,2,2,1,2,2,1,2,2,3,2,2,1,2,
4,6,6,4,2,1,1,1,1,1,1,1,2,2,2,2,2,2,4,2,2,4,1,1,1,1,1,1,1,1],[1,2,1,2,5,5,2,1,
4,2,4,4,5,2,1,8,2,2,6,1,2,1,4,2,1,1,1,4,2,2,2,2,2,1,2,1,1,2,1],[1,2,1,2,1,1,2,
4,1,4,2,1,2,1,2,1,2,1,2,1,2,2,2,2,2,2,1,1,1,4,1],[1,2,1,2,1,1,2,1,2,1,4,1,4,2,
2,2,1,2,1,1,4,2,4,2,2,1,4,1],[1,1,4,1,3,2,8,1,2,1,2,2,3,2,2,1,2,2,3,2,6,2,6,4,
4,1,1,1,1,1,1,1,2,2,2,2,2,2,4,2,2,4,1,1,1,1,1,1,1,1],[1,2,1,10,5,5,2,8,1,4,2,
4,4,5,8,5,8,4,2,6,4,4,1,4,2,4,1,1,2,4,2,2,2,2,2,2,8,4,4,1,1,1,2,2,4,4,1],[1,2,
1,10,1,1,2,8,1,4,2,4,1,8,5,4,4,4,1,2,2,2,4,2,2,2,2,2,2,1,1,1,4,1],[1,2,1,10,1,
9,2,8,1,2,8,4,1,4,8,5,4,8,4,2,2,4,4,1,4,2,4,2,1,1,4,2,2,2,2,1,1,2,8,4,4,1,1,1,
2,2,4,2,2,1],[1,2,1,10,3,7,2,8,1,2,4,3,2,8,5,8,4,8,1,5,1,3,2,4,1,2,4,1,3,2,4,
1,1,1,1,2,2,1,1,2,2,3,3,3,3,4,1,1,1,2,1,1,1,1,1,1,2,1,1,1],[1,2,1,2,1,1,2,4,1,
4,2,4,1,1,2,2,1,2,2,2,2,2,2,2,1,1,1,1],[1,2,1,2,1,1,2,1,2,8,1,1,2,2,4,1,4,1,1,
4,2,2,2,1,4,1],[1,2,1,2,5,5,2,8,1,4,2,4,5,1,8,2,6,4,1,4,4,4,1,1,4,2,2,2,1,2,2,
1],[1,2,1,2,5,5,2,1,4,2,4,2,2,5,1,8,4,2,6,1,2,1,4,1,2,1,1,4,2,2,2,2,2,1,2,1,1,
2,1],[1,2,1,2,1,9,2,1,4,2,8,2,2,1,4,1,8,4,4,1,2,1,2,1,4,2,2,2,4,2,2,1,1,1,2,1,
1,2,1],[1,2,1,2,1,1,2,1,2,2,2,1,1,4,2,2,1,2,1,1,2,1,1,2,2,2,2,2,1,1,1,1],[1,2,
1,2,1,1,2,1,4,2,2,2,1,1,4,1,2,1,2,1,2,2,2,2,2,2,1,1,1,1],[1,1,4,1,3,2,8,1,2,1,
2,2,3,2,2,1,2,2,3,6,2,6,2,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,
1,1],[1,2,1,2,9,9,2,1,4,2,4,9,1,8,8,24,2,2,1,4,1,1,2,2,4,8,2,2,2,2,1,1,2,7,1,
4,2,2,1,2,1,1,2,1,1,2,1,2,1,1],[1,2,1,2,5,5,2,1,4,2,4,5,1,8,2,6,4,4,1,4,1,1,4,
2,4,2,2,2,4,1,1,1,2,2,1],[1,2,1,2,5,13,2,1,4,2,4,5,4,1,8,2,18,4,12,1,4,1,1,4,
4,2,6,2,2,2,2,2,2,4,6,2,2,2,1,2,2,2,1,1,2,1,2,1,1],[1,2,1,2,5,5,2,1,4,2,4,5,1,
8,2,6,8,1,4,1,1,4,2,4,2,4,4,1,2,2,2,1],[1,2,1,2,3,15,2,1,2,8,3,6,1,8,1,17,1,3,
14,1,4,2,1,3,4,1,7,1,1,1,1,1,1,1,1,2,2,2,6,2,2,2,2,1,1,1,2,2,1,1,1,1,1,1,1,1,
1],[1,2,1,2,5,5,2,1,2,5,1,2,6,4,4,1,1,1,2,2,2,4,2,2,2,2,1,2,2,1,4,1,3,1,2,1,1,
2,2,1,1,1,2,1,1],[1,2,1,2,1,1,2,1,2,1,1,2,2,1,1,1,2,2,4,1,2,2,2,1],[1,2,1,2,1,
9,2,1,2,1,4,1,4,2,6,4,1,1,1,4,2,2,2,2,2,2,2,1,1,4,4,2,1,1,1,2,2,1,1,1,2,1,2,1,
1,1],[1,2,1,2,1,1,2,1,2,1,1,2,2,1,1,1,2,2,4,1,2,2,2,1],[1,2,1,2,3,7,2,1,2,3,2,
1,1,5,1,7,2,1,2,1,3,1,1,1,3,2,1,1,1,1,2,2,1,1,2,4,2,1,1,1,1,1,2,1,1,1,1,1,1,1,
1,1,1,1],[1,2,8,5,4,2,4,4,1,4,4,2,6,12,2,4,2,4,2,4,1,4,2,1,1,4,4,4,2,1,2,1,1,
1],[1,2,8,1,8,2,4,4,1,4,6,2,4,4,8,2,2,4,4,2,4,1,4,2,1,1,4,4,4,2,2,1,1,1,1],[1,
1,4,7,2,1,1,2,2,2,1,2,1,2,2,1,2,2,2,2,3,2,2,1,2,1,1,2,1,1,1,1,2,2,2,2,1,1,1,1,
1,1,1,1],[1,2,4,9,4,2,1,4,4,2,4,12,8,4,2,4,2,4,1,2,4,4,4,1,1,2,2,4,1,1,1,2,2,
1],[1,2,4,5,8,2,1,4,4,2,4,12,2,10,4,2,2,4,1,2,4,4,4,2,1,1,2,4,1,1,1,2,2,1],[1,
2,4,5,8,2,1,4,4,2,4,12,2,10,6,2,4,1,2,4,4,4,1,3,2,4,1,1,1,2,2,1],[1,2,4,5,8,2,
1,4,4,2,4,12,2,10,6,2,4,1,2,4,4,4,1,3,2,4,1,1,1,2,2,1],[1,2,4,9,4,4,1,4,2,8,8,
6,2,4,1,1,1,2,2,2,2,6,2,1,1,2,1,3,4,2,2,1,2,1,1,2,2,2,2,2,1],[1,2,4,5,4,1,4,2,
2,4,6,1,1,1,4,2,2,1,1,1,1],[1,2,4,5,8,4,1,4,2,8,2,12,6,1,1,1,4,2,2,4,4,2,2,4,
2,4,2,1,2,2,2,4,4,1],[1,2,4,5,4,1,4,2,8,2,2,1,1,1,4,4,1,2,1],[1,2,4,5,4,1,4,2,
2,10,1,1,1,4,4,1,2,1],[1,2,4,5,8,4,1,4,2,8,2,12,6,1,1,1,4,2,2,4,4,2,2,4,2,4,2,
1,2,2,2,4,4,1],[1,2,4,5,4,1,4,2,2,10,1,1,1,4,4,1,2,1],[1,2,4,5,4,1,4,2,2,2,1,
1,1,4,4,1,2,1],[1,2,4,1,4,4,1,4,2,4,4,2,2,1,2,2,1,2,1,2,1,1,1,1],[1,2,4,1,4,4,
1,4,2,4,4,2,2,1,2,2,2,1,1,2,1,1,1,1],[1,2,4,5,8,4,1,4,2,8,2,12,4,2,1,1,1,2,2,
2,2,2,6,2,1,2,2,3,4,1,1,1,2,2,1,1,2,2,2,2,1],[1,2,4,1,4,4,1,4,2,2,2,1,1,1,4,4,
1,2,1],[1,2,4,1,12,4,1,4,2,8,6,2,4,8,1,1,1,4,1,1,2,4,2,2,2,2,2,2,4,2,2,1,1,1,
2,2,2,2,2,2,1],[1,2,4,1,4,4,1,4,2,8,2,2,1,1,1,4,4,1,2,1],[1,2,4,3,10,4,1,4,2,
4,4,1,9,1,5,4,1,1,1,1,3,1,1,1,1,1,1,4,2,1,1,2,1,1,1,2,2,3,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1],[1,2,4,3,10,4,1,4,2,4,4,1,9,1,5,4,1,1,1,1,3,1,1,1,1,1,1,2,4,
1,1,2,1,1,2,1,2,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,9,4,1,4,8,2,4,2,1,
2,1,1,2,2,1,1,1,1],[1,2,5,4,4,1,4,2,6,4,2,2,1,2,2,1,1,2,1,1,1,1],[1,2,5,4,4,1,
4,2,6,6,2,1,2,1,3,2,1,1,1,1],[1,2,5,4,4,1,4,2,6,6,2,1,2,1,3,2,1,1,1,1],[1,8,3,
1,3,4,4,4,1,4,3,3,1,3,4,2,4,2,2,1,2,3,3,2,1,2,1,1,1],[1,8,1,4,1,1,4,4,4,2,4,1,
2,2,1,3,4,2,4,2,2,1,2,1,1,2,2,2,1,2,1,1,1],[1,8,1,5,5,4,4,4,5,2,6,1,1,2,2,2,2,
1,1,2,1,2,1,2,2,1,1,1],[1,8,1,1,9,4,4,4,1,4,4,1,1,4,2,2,2,2,1,2,1,1,2,1,2,2,1,
1,1],[1,8,1,1,1,4,4,4,1,3,3,2,2,2,3,2,1,3,1,2,2,1,1,1],[1,8,1,1,1,4,4,4,1,1,5,
2,2,2,1,2,2,2,1,1,1,2,2,1,1,1],[1,8,6,1,4,4,4,4,2,4,3,4,2,2,1,1,4,2,4,2,2,4,4,
2,1,1,1,2,2,2,1,2,1,1,1],[1,8,6,1,4,4,4,4,2,4,3,4,2,2,1,1,4,2,4,2,2,4,4,2,1,1,
1,2,2,2,1,2,1,1,1],[1,8,2,5,4,4,4,1,2,1,3,2,2,2,1,2,1,2,2,1,1,2,2,1,1,1],[1,8,
2,1,4,4,4,4,1,2,3,1,2,2,2,1,2,1,2,2,1,1,2,2,1,1,1],[1,8,2,1,4,4,4,4,1,2,1,3,2,
2,2,1,2,1,2,2,1,1,2,2,1,1,1],[1,8,2,1,4,4,4,4,1,2,1,3,2,2,2,1,2,1,2,2,1,1,2,2,
1,1,1],[1,3,7,21,1,21,21,7,63,42,7,21,63,1,21,42,7,3,21,1],[1,3,3,9,1,9,9,1,9,
2,6,6,3,3,9,6,6,1,3,6,6,1,2,3,3,6,1],[1,3,5,15,1,15,15,2,18,1,3,12,5,6,18,3,3,
1,6,3,3,3,2,1,3,6,3,1],[1,3,1,3,1,3,3,1,3,1,3,3,2,2,1,1,1,1],[1,3,1,3,1,3,3,3,
9,1,9,9,1,9,3,3,3,3,9,1],[1,1,4,7,11,2,7,2,2,8,2,8,7,23,4,2,1,4,7,1,2,2,1,1,4,
2,2,4,1,7,2,4,2,2,2,1,2,1,1,2,2,1,1,2,2,1],[1,1,4,3,7,2,3,2,2,8,2,8,1,5,2,6,2,
1,4,1,1,2,2,2,1,1,4,1,3,2,2,1,1,1,2,2,1],[1,1,4,5,13,2,5,4,2,8,2,8,2,18,1,3,
12,1,4,2,6,1,1,2,1,1,2,2,2,2,4,1,2,4,1,6,1,1,2,2,1,1,1,1,1,1,1,2,2,1,1,1,1,
1],[1,1,4,3,15,2,3,6,2,8,2,8,1,17,2,2,14,1,4,1,7,2,2,1,1,4,2,2,4,1,2,1,4,6,2,
2,2,1,2,1,1,2,2,1,1,2,2,1],[1,1,4,5,5,2,5,2,2,2,6,1,7,1,2,1,3,2,2,4,2,2,1,4,2,
1,4,2,1,1,1,2,1,2,1,2,2,2,2,1],[1,1,4,3,7,2,3,2,2,2,1,5,2,6,2,1,1,1,2,2,2,2,2,
2,2,2,1,1,2,1,1,4,2,2,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1],[1,1,4,1,1,2,1,2,2,1,
3,1,1,1,2,2,2,2,1,1,1,1],[1,1,4,1,9,2,1,4,2,2,4,3,5,4,1,2,3,1,2,2,4,2,2,2,1,1,
4,4,1,3,1,2,1,2,1,2,2,2,2,1],[1,1,5,5,4,5,2,6,1,1,2,2,1,1,2,1,2,1,1,1,1],[1,1,
1,1,4,1,1,5,2,1,2,2,2,1,1,1,1,1,1],[1,1,1,9,4,1,4,4,1,1,4,2,2,1,2,1,1,2,1,1,1,
1],[1,1,1,1,4,1,3,3,2,3,1,3,2,1,1,1,1],[1,6,7,6,2,3,12,6,6,7,3,6,2,6,3,6,6,1,
3,6,1,3,3,1],[1,6,3,10,2,3,12,6,6,1,9,2,4,2,6,3,2,2,2,6,1,1,2,2,2,2,1,2,1,1,1,
1,1],[1,2,5,2,1,2,2,1,3,2,1,2,1,2,1,2,1,1,1,1],[1,2,1,4,2,1,2,2,1,3,2,1,2,1,2,
2,1,1,1,1,1],[1,2,1,4,2,1,2,2,3,1,2,1,2,1,2,1,2,1,1,1,1],[1,2,1,4,2,1,2,2,1,3,
2,1,2,1,2,2,1,1,1,1,1],[1,6,7,6,4,3,12,7,3,6,4,1,3,3,6,3,3,1,3,6,1,3,1,1,3,3,
3,3,3,1],[1,6,5,8,4,3,8,4,2,12,1,5,1,2,1,1,2,4,2,4,2,1,2,2,2,3,2,2,1,1,2,1,2,
2,2,1,1,2,2,1],[1,6,3,10,4,3,4,8,1,9,2,4,4,1,1,1,1,2,1,2,4,3,3,1,1,2,2,1,1,1,
2,3,2,1,1,1,1,1,1,1,1,1,2,2,1,1,1],[1,6,5,8,4,3,8,4,2,12,1,5,1,2,1,1,2,4,2,2,
4,1,2,2,2,3,2,2,1,1,2,1,2,2,2,1,1,2,2,1],[1,6,1,12,4,3,12,6,3,3,8,1,3,3,6,6,3,
2,3,6,1,1,3,6,3,3,1],[1,6,1,4,4,3,4,2,1,1,1,1,1,2,2,2,2,1,1,1,1],[1,6,1,4,4,3,
4,2,1,1,1,1,1,2,2,2,2,1,1,1,1],[1,6,1,12,4,3,12,6,3,3,8,1,3,3,6,6,3,2,3,6,1,1,
3,6,3,3,1],[1,4,3,2,2,3,5,2,1,1,3,1,3,1,1,1,1,1],[1,2,1,2,2,1,4,4,2,2,1,2,2,2,
1,1],[1,4,3,2,2,3,5,2,1,1,3,1,1,3,1,1,1,1],[1,1,9,9,2,2,9,2,2,6,6,6,6,1,6,6,1,
1,1,1],[1,1,9,9,2,2,9,2,2,6,6,6,6,1,6,6,1,1,1,1],[1,1,3,3,2,2,3,2,2,3,1,3,1,1,
3,1,1,1,1,1],[1,1,3,3,2,2,3,2,2,3,1,3,1,1,3,1,1,1,1,1],[1,6,9,2,2,9,6,2,6,6,1,
6,2,1,1],[1,6,1,2,2,3,6,2,2,2,1,3,1,2,1,1],[1,6,9,2,2,9,6,2,6,6,1,6,2,1,1],[1,
3,3,9,2,2,9,3,1,1,3,6,6,1,3,3,1,1,1,1],[1,3,9,3,2,2,9,3,1,1,6,3,6,1,3,3,1,1,1,
1],[1,12,3,1,1,2,9,3,3,1,3,4,6,1,3,3,1,1,1,1],[1,9,1,9,1,1,2,9,3,1,3,1,2,3,3,
6,6,1,3,3,6,1,1,1,1],[1,7,1,1,2,3,2,1,7,2,1,1,3,2,1,1],[1,3,3,9,1,1,2,9,3,1,3,
3,1,3,6,1,3,3,1,1,1,1],[1,6,1,1,1,2,3,6,1,1,2,2,1,3,1,2,1,1],[1,3,1,1,2,1,3,3,
6,1,1,1,2,3,1],[1,1,18,1,1,2,9,1,6,1,2,6,12,1,3,3,6,1,2,1],[1,1,1,1,2,3,1,1,2,
1,1,3,1,1],[1,1,1,1,2,3,1,1,2,1,3,1,1,1],[1,3,1,3,2,2,3,1,2,1,3,3,2,1,1,3,1,1,
1,1],[1,15,2,2,9,8,6,6,1,6,2,1,1],[1,3,12,2,2,9,1,7,3,3,6,1,3,3,1,1,1,1],[1,3,
3,9,1,1,2,9,3,1,3,3,1,3,6,1,3,3,1,1,1,1],[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],[1,9,1,9,2,2,9,6,2,6,6,2,6,1,6,6,1,1,1,1],[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],[1,9,6,2,2,9,6,2,6,6,
1,6,1,2,1],[1,9,6,2,2,9,6,6,6,2,1,6,1,2,1],[1,6,1,2,2,3,2,6,2,2,1,3,1,2,1,1],[
1,6,9,2,2,9,6,6,2,6,1,6,2,1,1],[1,12,3,2,2,9,6,3,1,6,3,1,1,3,3,1,1,1,1],[1,12,
3,2,2,9,6,3,1,6,3,1,1,3,3,1,1,1,1],[1,3,2,2,1,6,6,1,2,2,3,1],[1,1,18,2,2,9,2,
12,2,12,1,6,6,1,2,1],[1,1,2,2,3,2,2,1,3,1,1,1],[1,1,2,2,3,2,2,1,3,1,1,1],[1,
18,1,2,2,9,2,12,2,12,1,6,6,1,2,1],[1,1,3,3,2,2,3,2,2,3,1,3,1,1,3,1,1,1,1,1],[
1,1,6,2,2,3,2,2,6,2,1,1,3,1,2,1],[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],[1,1,2,2,1,2,2,1,2,2,1,1],[1,9,3,3,2,2,9,6,6,3,1,3,1,1,3,3,1,1,
1,1],[1,15,2,2,9,8,6,6,1,6,1,2,1],[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],[1,3,1,4,8,1,3,4,1,1,2,1],[1,3,1,4,8,1,3,4,1,1,2,1],[1,3,5,8,1,3,4,
1,1,2,1],[1,3,1,4,8,1,3,4,1,1,2,1],[1,3,1,4,8,1,3,4,1,1,2,1],[1,3,4,1,8,1,3,4,
1,1,2,1],[1,3,4,1,8,1,3,4,1,1,2,1],[1,3,1,8,4,1,3,4,1,1,2,1],[1,3,5,4,4,1,3,4,
1,1,1,1,1],[1,3,1,8,4,1,3,4,1,2,1,1],[1,3,3,1,1,2,1,3,3,1,1,1,3,2,1,1,3,1,1,1,
1,1],[1,3,3,9,1,2,1,9,3,3,1,3,6,1,3,1,3,3,1,1,1,1],[1,3,9,3,1,2,1,9,3,1,3,3,6,
3,1,1,3,3,1,1,1,1],[1,3,12,1,2,1,9,3,4,3,6,1,3,1,3,3,1,1,1,1],[1,12,3,1,2,1,9,
4,3,3,6,3,1,1,3,3,1,1,1,1],[1,3,4,1,2,1,3,3,4,2,1,1,1,1,3,1,1,1,1,1],[1,18,1,
1,2,1,9,6,1,6,6,2,3,3,1,1,3,6,3,1,1,1,1],[1,3,1,8,4,1,3,4,1,1,2,1],[1,12,3,2,
1,1,9,6,3,1,3,3,3,1,1,3,3,1,1,1,1],[1,3,4,8,1,1,3,4,1,1,2,1],[1,3,8,4,1,1,3,4,
1,2,1,1],[1,2,3,1,1,1,1,1,2,3,1,1,1,1],[1,2,5,10,1,5,10,1,10,5,5,1,5,2,1,1,1,
2,1,2,2,1,1,1],[1,2,1,10,1,5,5,1,5,2,1,2,1,1,1,1],[1,1,5,5,5,5,5,1,5,1,1,1,1,
1,1,1],[1,1,5,5,5,5,5,1,5,1,1,1,1,1,1,1],[1,5,1,5,10,5,1,5,1,1,1,2,1,1],[1,5,
3,15,15,1,15,1,5,1,3,3,3,1,3,1],[1,5,1,5,5,10,1,5,1,1,1,1,2,1],[1,5,1,5,5,5,5,
1,5,1,1,1,1,1,1,1],[1,5,1,5,5,1,5,1,5,1,1,1,1,1,1,1],[1,5,1,5,5,10,1,5,1,1,1,
1,2,1],[1,10,3,5,1,5,1,5,3,2,1,1,1,1],[1,10,1,10,5,5,1,1,5,1,2,2,1,1,1,1],[1,
21,1,7,1,3,1,1],[1,1,7,7,1,1,1,1],[1,7,7,7,1,1,1,1],[1,1,1,2,1,1,1,1,2,1],[1,
4,3,1,3,1,2,2,2,1,2,3,3,4,1,3,3,2,1,2,1,1,2,2,2,3,1,3,2,1,2,1,2,1,1,1],[1,5,9,
9,1,7,15,1,1,3,3,9,2,1,2,3,3,1,3,3,3,3,3,3,1,2,2,3,1,1,3,1,1,3,1,1,1,1,1,1,1,
1],[1,5,3,9,6,1,1,9,6,6,1,1,9,3,3,2,1,2,3,3,1,3,3,3,3,3,3,1,2,2,3,1,1,3,1,1,3,
1,1,1,1,1,1,1,1],[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],[
1,6,3,2,1,3,4,6,6,3,6,6,1,3,3,1,8,4,2,3,6,3,1,1,4,1,2,1,1],[1,3,3,7,6,4,3,3,6,
3,1,3,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,4,6,4,1,4,6,12,4,4,3,6,4,4,
4,4,6,4,1,4,1,1,1,1,1,1],[1,3,3,7,6,4,3,3,6,1,3,3,3,3,6,4,4,4,1,3,3,3,3,3,3,1,
4,3,1,1,1,1],[1,4,3,4,3,1,4,3,6,3,6,4,1,3,3,3,3,4,4,4,1,3,3,1,3,3,1,4,1,1,1,1,
1,1],[1,3,3,7,6,4,3,3,6,1,3,3,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,4,1,
3,3,1,2,2,2,3,1,3,2,4,3,1,3,1,2,2,1,1,2,2,2,1,2,3,3,1,1,2,2,1,1,1],[1,4,1,1,5,
1,2,2,2,1,2,2,2,2,4,1,1,5,1,4,1,1,2,2,2,1,2,2,2,2,1,1,4,1,1,1],[1,10,7,6,1,7,
1,14,18,5,14,18,3,7,9,3,4,2,2,1,2,1,2,1,6,7,18,9,3,2,4,2,4,4,2,4,1,2,2,2,1,2,
1,1,1,3,1,2,2,2,4,2,1,1,1],[1,4,1,12,1,1,1,2,2,2,3,6,1,3,6,6,4,1,1,4,1,6,1,6,
3,3,2,2,2,1,2,2,1,1,2,3,1,2,2,1,1,1],[1,4,1,1,13,1,2,2,2,1,6,6,3,3,6,4,1,4,1,
1,1,6,6,3,3,2,2,2,2,1,1,1,2,2,3,1,2,2,1,1,1],[1,4,1,1,1,1,2,2,2,1,6,6,4,1,1,1,
1,3,3,2,2,2,1,2,2,3,1,1,1,1],[1,5,7,9,2,1,7,9,6,1,3,3,1,3,6,2,1,2,1,3,2,3,1,3,
3,3,3,3,1,2,2,1,2,1,1,1,1,1,2,3,1,1,1,1,1,1,1,1],[1,5,1,9,8,1,1,3,6,12,1,3,3,
1,3,6,2,1,2,1,3,2,3,1,3,3,3,3,3,1,2,2,1,2,1,1,1,1,1,2,3,1,1,1,1,1,1,1,1],[1,2,
4,6,3,4,1,6,6,1,6,3,3,3,6,8,4,3,2,6,1,3,4,1,1,2,1,1],[1,8,3,3,9,1,6,4,6,9,1,9,
4,2,2,1,3,3,3,4,6,3,3,2,1,2,1,3,1,3,1,1,3,1,1,1,1,1,1,1,1],[1,8,3,1,11,1,6,4,
6,3,6,4,1,3,6,2,2,1,1,3,2,3,4,6,3,3,2,1,2,1,1,2,1,1,1,1,2,3,1,1,1,1,1,1,1,1],[
1,2,3,6,3,9,1,6,1,6,9,3,1,9,1,3,2,1,3,3,2,3,1,3,3,3,3,3,1,2,2,3,1,3,1,1,1,3,1,
1,1,1,1,1,1,1],[1,2,3,6,1,11,1,6,1,6,3,6,3,4,4,6,2,1,1,3,2,2,3,4,3,3,6,1,2,2,
1,2,1,1,1,1,1,2,3,1,1,1,1,1,1,1,1],[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],[1,2,3,6,1,3,4,6,1,6,1,6,3,3,3,6,8,4,2,3,6,1,3,4,1,1,2,1,1],[
1,7,3,3,6,4,3,3,6,6,1,3,3,3,3,4,4,4,3,3,3,1,3,3,3,4,1,3,1,1,1,1],[1,1,9,9,4,9,
1,3,3,3,9,3,4,4,4,1,3,3,3,3,3,3,4,1,3,1,1,1,1],[1,2,3,6,1,3,4,6,1,6,1,6,3,3,3,
6,8,4,2,3,6,1,3,4,1,1,2,1,1],[1,1,3,9,6,4,3,6,1,3,3,3,3,3,6,4,4,4,1,3,3,3,3,3,
3,4,1,3,1,1,1,1],[1,2,3,6,1,3,4,6,1,6,1,3,3,6,3,6,8,4,3,2,6,1,3,4,1,1,2,1,1],[
1,1,9,9,4,9,3,1,3,9,3,3,4,4,4,3,1,3,3,3,3,3,4,1,3,1,1,1,1],[1,1,3,9,6,4,3,6,3,
1,3,3,3,3,6,4,4,4,3,1,3,3,3,3,3,4,1,3,1,1,1,1],[1,1,3,9,6,4,3,6,1,3,3,3,3,3,6,
4,4,4,3,1,3,3,3,3,3,4,1,3,1,1,1,1],[1,1,3,9,6,4,3,6,3,1,3,3,3,3,6,4,4,4,3,1,3,
3,3,3,3,4,1,3,1,1,1,1],[1,2,2,3,1,3,1,1,2,2,1,1,1,1,3,3,2,2,3,1,3,1,1,1,1,1,1,
1,1,2,2,1,1,1,3,3,1,1,1,1,1,1,1,1,1,1],[1,2,3,6,3,9,1,6,1,6,9,3,1,9,1,3,2,1,3,
3,2,3,1,3,3,3,3,3,1,2,2,3,1,3,1,1,1,3,1,1,1,1,1,1,1,1],[1,2,6,3,3,9,1,1,6,6,3,
1,1,3,9,9,2,2,3,1,3,1,3,3,3,3,3,3,1,2,2,1,1,1,3,3,1,3,1,1,1,1,1,1,1,1],[1,2,3,
14,1,3,4,4,1,6,1,6,8,8,6,3,3,3,7,6,12,12,4,6,2,2,1,2,1,1,2,1,1,1,1,3,6,6,4,12,
3,3,6,1,2,2,2,2,2,2,2,1,2,2,2,1,1,1,1,2,2,1,1,1,1,1,3,1,1,1,2,2,2,2,1,1,1,1,
1],[1,2,2,1,6,1,7,1,1,2,2,1,3,6,1,3,6,6,2,2,1,2,1,1,2,3,1,3,3,3,3,3,1,2,2,1,1,
1,1,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,2,3,6,1,3,8,1,6,1,6,3,6,3,4,4,6,2,1,1,1,2,2,
2,3,4,3,3,6,1,2,2,1,2,1,1,1,1,1,2,3,1,1,1,1,1,1,1,1],[1,2,6,1,6,3,5,1,1,6,6,3,
3,4,3,1,6,6,2,2,1,2,1,2,1,3,3,1,3,3,3,3,1,2,2,1,1,1,1,1,1,2,2,3,1,1,1,1,1,1,1,
1],[1,6,1,6,3,3,1,6,3,6,3,3,1,3,3,3,2,3,1,2,3,3,3,3,1,3,3,3,1,2,2,1,1,3,1,3,1,
3,1,1,1,1,1,1,1,1],[1,6,1,6,1,13,1,6,3,6,1,6,3,6,2,6,2,1,4,1,2,1,3,6,3,1,6,1,
2,2,2,2,1,1,2,2,3,2,1,1,2,1,1],[1,6,3,18,1,3,1,18,3,18,1,18,3,3,9,18,2,1,3,6,
3,6,9,18,1,9,1,6,6,3,3,1,6,3,6,3,3,2,6,1,3,1],[1,6,1,6,1,1,1,6,3,6,2,3,1,3,3,
2,1,1,2,1,6,3,6,1,3,1,2,2,1,1,1,1,2,3,1,2,2,1,1,1],[1,6,1,6,1,5,1,6,3,6,1,2,3,
2,6,2,2,1,1,2,5,3,6,1,3,6,1,2,2,1,1,2,2,2,2,3,1,2,1,1,2,1],[1,6,1,6,1,1,1,6,3,
6,1,6,3,2,2,1,1,2,1,3,1,3,1,2,2,1,1,2,2,3,1,1,1,1],[1,7,3,21,1,3,21,27,1,21,
18,2,3,6,1,3,9,7,27,6,1,6,1,6,3,3,3,6,3,2,3,6,1,3,1],[1,7,1,7,1,3,7,9,5,3,2,1,
2,1,1,3,7,9,2,1,2,2,1,1,1,1,3,2,1,2,1,1,1],[1,9,1,9,1,1,3,3,9,3,9,3,2,1,2,3,3,
3,1,3,3,3,3,3,2,1,2,3,1,1,3,1,1,3,1,1,1,1,1,1,1,1],[1,7,12,1,7,1,2,3,6,7,9,6,
6,2,1,2,1,4,1,6,1,6,3,3,2,1,2,1,2,1,2,2,2,3,1,2,1,1,2,1],[1,7,1,11,1,3,7,2,9,
6,2,2,2,1,2,1,5,3,6,1,3,6,2,1,2,1,2,1,2,2,2,3,1,2,1,1,2,1],[1,7,1,7,1,3,7,9,6,
2,2,1,2,1,1,3,1,3,2,1,2,1,2,1,2,3,1,1,1,1],[1,3,3,9,1,1,9,9,1,9,6,3,3,9,3,3,9,
1,9,9,1,9,6,1,3,3,9,1],[1,1,12,3,3,1,6,3,6,6,1,3,6,3,1,4,3,3,1,3,6,6,1,3,2,3,
2,2,2,3,1,2,1,1,2,1],[1,1,3,3,1,3,3,9,1,3,3,1,3,9,1,9,1,3,3,3,1,3,1,3,3,1],[1,
1,3,3,1,2,3,1,3,2,3,1,3,1,1,1,1,3,3,2,2,1,1,1,1,1],[1,3,1,15,1,1,3,3,6,6,6,6,
1,4,3,3,1,6,3,3,6,2,3,2,2,1,3,2,3,1,1,1,2,2,1],[1,1,12,1,13,1,6,1,6,6,6,6,2,6,
1,4,1,4,1,3,1,3,12,2,1,2,2,2,2,2,2,3,1,1,1,4,1],[1,1,1,17,1,3,1,2,6,3,8,2,6,1,
4,1,5,3,6,1,3,6,2,1,2,2,2,2,1,1,2,3,1,1,1,2,2,1],[1,1,1,13,1,2,1,6,6,6,6,1,4,
1,1,1,3,3,2,1,2,2,2,2,3,1,1,1,1],[1,3,1,3,1,1,3,3,2,2,1,3,3,1,1,1,2,3,1,3,2,1,
1,1,1,1],[1,1,12,1,1,1,6,1,6,6,6,2,1,1,4,1,3,3,1,2,1,2,2,2,2,3,1,1,1,1],[1,1,
1,1,1,3,1,3,2,6,1,1,1,3,3,1,2,1,2,1,1,3,1,1,1,1],[1,1,1,5,1,2,1,2,2,2,2,1,1,5,
1,1,1,2,1,2,2,2,2,1,1,1,1,1],[1,3,1,3,1,1,3,3,3,9,1,3,3,1,9,9,1,3,3,1,3,3,3,1,
3,1],[1,1,12,1,5,1,6,1,2,6,6,2,3,3,2,1,1,4,5,3,1,3,6,6,1,1,2,2,1,2,2,2,2,3,1,
2,1,1,2,1],[1,1,1,1,1,3,1,3,3,3,2,1,1,1,3,1,3,1,1,1,1,1,2,3,1,1,1,1],[1,1,1,1,
1,2,1,6,3,3,1,1,1,1,3,3,1,1,1,2,2,3,1,1,1,1],[1,12,3,1,3,4,6,6,6,1,6,3,3,8,4,
6,3,6,1,3,4,1,3,2,1,1],[1,6,4,6,3,4,3,6,6,1,3,3,3,3,3,4,4,4,3,3,3,1,3,3,3,4,1,
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],[1,9,1,9,4,1,3,3,9,3,9,3,4,4,4,3,1,3,3,3,3,3,4,1,3,1,1,1,1],[1,16,3,4,1,12,
6,9,3,8,4,6,1,3,6,3,4,1,3,2,1,1],[1,9,7,3,4,1,3,3,9,3,9,3,4,4,4,3,3,1,3,3,3,3,
4,1,3,1,1,1,1],[1,3,3,9,4,1,9,9,1,9,6,12,3,3,9,4,1,1,3,1],[1,3,1,3,4,1,3,3,6,
6,4,1,3,3,4,1,3,1,1],[1,3,1,15,4,1,3,3,6,6,6,6,4,8,1,6,3,3,6,4,1,3,1,2,1],[1,
3,1,3,4,1,3,3,1,3,4,1,3,3,4,1,1,1,1],[1,4,1,4,3,3,4,1,4,3,3,3,6,3,3,3,6,4,4,4,
1,1,1,3,3,3,3,4,1,1,1,1,1,1],[1,3,12,1,3,4,1,3,3,6,6,6,6,4,8,1,6,3,3,6,4,1,3,
1,2,1],[1,3,1,5,6,4,1,3,3,6,6,1,3,6,6,4,8,1,2,3,3,6,4,1,1,1,2,1],[1,3,1,3,4,1,
3,3,6,6,4,1,3,3,4,1,3,1,1],[1,4,12,3,4,1,12,6,3,3,6,8,4,6,1,3,6,3,4,1,3,2,1,
1],[1,3,13,3,4,1,6,6,3,3,6,6,8,4,6,1,3,6,3,4,1,3,2,1,1],[1,6,9,4,2,9,18,6,12,
6,9,4,1,1,3,1],[1,4,12,3,4,1,6,3,6,3,6,6,4,8,1,6,3,3,6,4,1,3,1,2,1],[1,4,3,4,
1,6,3,3,6,4,1,3,3,4,1,3,1,1],[1,4,3,4,1,1,3,3,3,4,1,3,3,4,1,1,1,1],[1,4,2,3,6,
4,1,1,3,3,6,9,6,6,4,8,1,2,3,3,6,4,1,1,1,2,1],[1,4,3,4,1,6,3,3,6,4,1,3,3,4,1,3,
1,1],[1,3,12,1,3,4,1,6,6,3,3,6,6,8,4,6,1,3,6,3,4,1,3,2,1,1],[1,3,3,9,4,1,9,9,
1,9,6,12,3,3,9,4,1,1,3,1],[1,3,1,3,4,1,3,3,1,3,4,1,3,3,4,1,1,1,1],[1,9,5,9,1,
9,15,1,3,1,1,9,5,3,3,3,3,3,3,3,1,3,1,3,1,1,5,1,3,3,1,1,1,1,1,1,1,1],[1,6,4,6,
3,1,3,6,6,1,3,3,3,3,3,4,2,2,3,3,3,3,1,3,3,3,1,1,1,2,3,1,3,1,2,3,1,1,1,1,1,1,1,
1],[1,8,3,1,1,4,2,5,3,8,3,2,1,1,2,1,1,4,2,5,3,1,2,1,1,2,1,1],[1,3,5,15,1,15,1,
1,1,9,9,3,5,1,5,3,3,3,1,3,3,3,1,1,5,1,3,3,1,3,1,1,1,1,1,1,1,1],[1,6,4,18,3,1,
3,18,18,1,18,3,9,3,18,4,2,6,3,9,6,18,1,9,1,1,6,6,3,3,3,6,6,3,2,1,3,6,3,1],[1,
6,9,1,2,9,18,6,6,9,6,9,2,9,18,6,1,6,9,1],[1,4,12,3,1,1,6,3,6,3,6,6,4,4,3,1,6,
3,3,6,1,2,3,2,3,2,2,3,1,2,1,1,2,1],[1,4,3,1,1,2,3,3,2,4,3,1,1,1,1,2,3,3,2,1,1,
1,1,1],[1,4,3,1,1,3,3,3,9,4,3,1,9,9,1,1,3,3,3,3,1,3,3,1],[1,6,4,6,3,4,3,6,6,1,
3,3,3,3,3,4,4,4,3,3,3,1,3,3,3,1,4,3,1,1,1,1],[1,6,9,4,2,9,18,6,12,6,9,1,4,1,3,
1],[1,4,12,3,4,1,6,3,6,3,6,6,4,8,1,6,3,3,6,1,4,3,1,2,1],[1,3,3,9,4,1,9,9,1,9,
6,12,3,3,9,4,1,1,3,1],[1,3,3,9,16,1,9,9,1,9,6,3,3,9,4,4,12,1,1],[1,3,3,9,4,1,
9,9,1,9,6,12,3,3,9,1,4,1,3,1],[1,3,3,9,4,1,9,9,1,9,6,12,3,3,9,4,1,1,3,1],[1,3,
3,9,16,1,9,9,1,9,6,3,3,9,4,4,12,1,1],[1,9,1,9,4,1,3,3,9,3,9,3,4,4,4,3,1,3,3,3,
3,3,1,4,3,1,1,1,1],[1,3,1,15,4,1,3,3,6,6,6,6,4,8,1,6,3,3,6,1,4,3,1,2,1],[1,6,
9,16,2,9,18,6,6,9,8,12,1,1],[1,6,9,16,2,9,18,6,6,9,8,12,1,1],[1,3,3,9,4,1,9,9,
1,9,6,12,3,3,9,4,1,1,3,1],[1,3,3,9,16,1,9,9,1,9,6,3,3,9,4,4,12,1,1],[1,12,6,
12,1,1,18,36,12,4,3,18,6,4,4,1,12,18,12,1,6,4,12,3,6,4,3,4,6,1,4,1],[1,9,3,9,
2,1,9,9,6,1,1,3,1,3,6,3,3,3,2,3,3,3,3,3,3,1,3,1,3,1,1,1,1,2,2,3,1,1,1,1,1,1,1,
1],[1,6,2,18,1,1,3,6,6,2,6,1,9,6,2,2,6,1,6,3,6,1,3,1,2,2,2,1,3,2,2,3,2,1,2,1,
1,1],[1,6,2,6,5,1,3,6,6,1,3,4,6,2,2,2,2,5,3,6,1,3,6,1,2,1,1,4,2,2,2,3,1,2,1,1,
2,1],[1,6,2,6,1,1,3,6,6,3,2,1,3,3,2,2,2,1,3,6,6,3,1,1,1,2,2,1,1,1,2,3,1,2,1,2,
1,1],[1,6,2,6,1,1,3,6,6,1,3,6,2,2,2,2,1,3,3,1,1,2,1,1,2,2,2,3,1,1,1,1],[1,6,
12,1,1,3,4,6,3,6,3,6,6,4,1,6,3,1,6,3,1,4,2,3,2,1,2,3,2,1,1,2,1,1],[1,3,3,15,2,
1,9,6,3,1,1,3,9,1,6,3,1,5,2,3,3,3,3,3,1,3,1,1,3,1,1,3,1,2,2,3,1,1,1,1,1,1,1,
1],[1,2,12,5,1,3,6,1,6,4,3,6,2,2,4,5,3,6,3,1,6,1,2,1,2,4,1,2,2,3,1,2,1,1,2,
1],[1,2,1,1,3,2,1,9,2,1,3,1,3,1,2,1,3,3,1,1,1,1],[1,2,1,1,6,1,6,2,2,1,6,1,2,1,
2,2,3,2,1,1],[1,6,5,1,4,3,4,2,2,6,5,1,1,1,4,4,3,4,2,2,1,1,1,1,4,1],[1,6,1,1,4,
3,12,6,1,1,6,4,3,4,3,1,2,1],[1,2,12,1,1,2,6,1,6,6,6,2,4,1,1,3,3,2,2,1,2,2,2,3,
1,1,1,1],[1,2,5,1,4,1,4,2,2,5,2,1,4,1,4,2,1,2,1,1],[1,2,24,1,1,12,1,12,12,2,2,
8,1,6,1,12,4,1,4,4,2,3,2,1,4,1],[1,2,9,1,1,4,8,2,2,9,1,2,1,1,2,1,4,8,2,1,1,2,
1,1,2,1],[1,2,5,1,1,4,2,4,2,5,1,2,1,4,2,4,1,1,2,1],[1,2,5,1,1,2,4,2,5,1,2,2,1,
1,1,2,4,1,1,2,2,1,1,1],[1,2,1,1,1,2,2,1,1,6,1,2,3,1,2,1],[1,6,12,1,4,3,4,6,3,
6,3,6,4,4,4,6,3,1,6,3,1,4,3,1,1,1,1],[1,9,1,9,4,3,1,3,9,9,3,3,4,4,4,3,3,3,1,3,
3,3,1,4,3,1,1,1,1],[1,12,7,4,3,4,6,9,9,4,4,4,6,3,1,6,3,1,4,3,1,1,1,1],[1,9,3,
7,4,3,1,3,3,3,9,9,4,4,4,3,3,3,1,3,3,3,1,4,3,1,1,1,1],[1,3,12,1,3,4,6,1,6,3,3,
6,6,8,4,6,3,6,1,3,1,4,3,2,1,1],[1,6,12,1,4,3,4,6,3,6,3,6,4,4,4,6,3,1,6,3,1,4,
3,1,1,1,1],[1,3,12,3,1,4,3,1,6,3,3,3,6,6,4,4,4,3,3,3,3,1,3,3,1,4,3,1,1,1,1],[
1,3,3,9,4,1,9,9,1,9,6,12,3,3,9,1,4,1,3,1],[1,3,1,15,4,1,3,6,3,6,6,6,4,8,1,6,3,
3,6,1,4,3,1,2,1],[1,3,1,3,4,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,3,1,3,4,1,3,3,3,1,
4,1,3,3,1,4,1,1,1],[1,6,1,6,1,1,4,4,6,12,3,6,1,3,4,4,4,4,1,4,3,3,1,4,1,1,1,1,
1],[1,3,12,1,3,4,1,6,3,3,6,6,6,4,8,1,6,3,6,3,1,4,3,1,2,1],[1,3,1,3,6,6,4,1,3,
3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,1,9,2,4,1,3,9,6,3,1,6,6,
4,8,1,2,3,3,6,1,4,1,1,2,1],[1,3,1,3,12,4,1,3,3,6,6,6,6,4,8,1,6,3,3,6,1,4,3,1,
2,1],[1,3,1,3,4,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,3,1,3,4,1,3,3,1,3,4,1,3,3,1,4,
1,1,1],[1,6,6,1,6,4,4,3,6,3,6,3,6,4,4,4,6,1,6,3,3,1,4,3,1,1,1,1],[1,3,9,6,1,4,
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],[1,3,9,7,4,1,3,3,6,3,3,6,
6,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,3,9,4,1,9,9,1,9,6,12,3,3,9,4,1,1,3,
1],[1,3,3,9,16,1,9,9,1,9,6,3,3,9,4,4,12,1,1],[1,1,3,3,4,1,3,3,1,3,4,3,1,3,4,1,
1,1,1],[1,12,1,3,3,4,6,6,6,3,1,3,6,4,8,3,6,6,1,3,4,1,3,1,2,1],[1,1,3,3,4,6,3,
1,3,6,4,3,1,3,4,1,3,1,1],[1,6,1,6,3,3,4,6,3,6,3,3,1,3,3,3,4,4,4,3,3,3,1,3,3,3,
4,1,3,1,1,1,1],[1,1,12,3,3,4,6,3,6,6,1,3,6,4,8,3,1,3,6,6,4,1,3,1,2,1],[1,2,3,
6,1,3,4,6,1,6,1,6,3,3,3,6,8,4,2,3,6,1,3,4,1,1,2,1,1],[1,1,12,3,3,4,3,6,6,6,1,
3,6,4,8,1,3,3,6,6,4,1,3,1,2,1],[1,1,3,3,2,6,4,3,1,3,1,3,6,6,6,6,4,8,1,3,3,2,6,
4,1,1,1,2,1],[1,1,3,3,4,3,6,1,3,6,4,1,3,3,4,1,3,1,1],[1,6,1,6,3,3,4,6,3,6,3,3,
1,3,3,3,4,4,4,3,3,3,1,3,3,3,4,1,3,1,1,1,1],[1,1,12,3,3,4,6,3,6,6,1,3,6,4,8,3,
1,3,6,6,4,1,3,1,2,1],[1,6,1,6,3,3,4,6,3,6,3,3,1,3,3,3,4,4,4,3,3,3,1,3,3,3,4,1,
3,1,1,1,1],[1,1,12,3,3,4,6,3,6,6,1,3,6,4,8,3,1,3,6,3,3,4,1,3,1,2,1],[1,12,5,1,
6,2,1,4,5,3,1,3,2,2,1,3,1,1,1,1],[1,12,1,1,6,3,4,1,3,3,1,2,3,3,1,1,1,1],[1,3,
8,3,9,1,6,9,4,6,1,9,4,2,1,2,3,3,3,3,3,4,6,2,1,2,3,1,1,3,1,1,3,1,1,1,1,1,1,1,
1],[1,3,8,1,3,8,1,6,3,6,4,6,1,3,4,6,2,1,2,1,1,2,2,3,3,3,6,4,2,1,2,1,2,1,1,1,1,
1,2,3,1,1,1,1,1,1,1,1],[1,8,3,3,9,1,4,6,6,1,4,9,9,2,3,2,1,3,4,3,6,3,3,1,2,2,1,
1,1,3,1,3,3,1,1,1,1,1,1,1,1],[1,8,1,6,3,5,1,4,6,6,3,1,3,3,1,6,6,2,1,2,2,1,2,1,
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],[1,3,3,9,4,12,1,9,3,9,
1,9,12,12,18,18,1,3,3,1,1,3,3,3,9,9,4,18,3,1,3,1,3,3,3,3,3,3,3,6,3,1,3,3,1,1,
3,3,1],[1,3,1,3,4,4,1,3,3,3,1,7,4,6,1,1,1,1,1,1,1,3,3,3,4,6,1,1,1,1,1,1,1,1,1,
1,1,3,1,1,1,1,1,1,1,1],[1,12,3,1,3,1,6,6,6,1,6,3,3,2,3,2,1,3,6,3,6,1,3,1,2,2,
1,1,1,3,1,3,3,1,1,1,1,1,1,1,1],[1,12,1,6,1,7,1,6,6,6,3,1,1,1,3,6,6,2,1,2,2,1,
1,2,3,3,3,3,3,3,1,1,2,2,1,1,1,1,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,6,6,3,1,3,4,3,6,
6,3,1,3,3,3,3,4,4,4,3,3,3,3,3,1,3,4,1,3,1,1,1,1],[1,12,3,1,3,4,6,6,6,1,6,3,3,
8,4,6,3,6,1,3,4,1,3,2,1,1],[1,3,3,9,4,1,9,9,1,9,6,12,3,3,9,4,1,1,3,1],[1,3,1,
3,4,1,3,3,1,3,4,1,3,3,4,1,1,1,1],[1,12,3,1,3,4,6,6,6,1,6,3,3,4,4,4,6,3,6,1,3,
4,1,3,1,1,1,1],[1,3,3,9,4,1,9,9,1,9,6,12,3,3,9,4,1,1,3,1],[1,3,3,9,16,1,9,9,1,
9,6,3,3,9,4,4,12,1,1],[1,6,1,6,3,3,4,6,3,6,3,3,1,3,3,3,4,4,4,3,3,3,1,3,3,3,4,
1,3,1,1,1,1],[1,1,12,3,3,4,6,3,6,6,1,3,6,4,8,3,1,3,6,3,3,4,1,3,1,2,1],[1,1,7,
7,4,7,7,21,4,4,4,7,1,7,4,1,1,1,1,1,1],[1,1,9,9,4,9,4,12,3,3,4,4,4,4,3,3,6,3,4,
1,3,1,1,1,1],[1,1,3,11,4,3,4,1,15,12,4,8,1,6,2,6,4,1,1,1,2,1],[1,1,3,15,4,3,6,
1,9,6,6,4,8,1,3,3,6,3,3,4,1,3,1,2,1],[1,1,1,1,4,1,3,3,4,4,4,3,1,3,4,1,1,1],[1,
6,3,6,16,2,3,12,6,6,1,3,2,6,3,6,8,4,8,1,1],[1,12,6,1,4,6,6,6,3,4,3,3,4,4,4,6,
3,6,3,1,4,1,3,1,1,1,1],[1,6,13,4,3,12,10,6,4,4,4,3,6,1,3,6,4,1,3,1,1,1,1],[1,
6,3,10,4,3,12,1,9,3,3,4,4,4,3,3,3,1,3,3,3,4,1,3,1,1,1,1],[1,6,7,6,4,3,12,7,3,
6,4,4,4,3,6,1,3,6,4,1,3,1,1,1,1],[1,6,9,4,4,3,12,4,6,3,3,4,4,4,3,3,3,3,1,3,3,
4,1,3,1,1,1,1],[1,6,3,10,4,3,12,1,9,6,4,4,4,3,3,3,1,3,3,3,4,1,3,1,1,1,1],[1,6,
3,10,4,3,12,1,9,6,4,4,4,3,3,3,1,3,3,3,4,1,3,1,1,1,1],[1,12,1,4,6,3,4,4,4,3,3,
1,4,3,1,1],[1,12,1,4,6,3,4,4,4,3,3,1,4,3,1,1],[1,12,1,4,6,3,4,4,4,3,3,1,4,3,1,
1],[1,12,1,4,6,3,4,4,4,3,3,1,4,3,1,1],[1,12,1,4,6,3,4,4,4,3,3,1,4,3,1,1],[1,9,
2,1,4,4,2,9,3,3,6,2,1,4,2,4,3,1,3,6,1,1],[1,3,2,1,4,4,2,1,3,3,6,2,1,4,2,4,1,3,
1,2,1,1],[1,3,2,1,4,4,2,6,6,1,2,1,4,2,4,3,2,2,1,1],[1,9,2,1,4,4,2,6,9,6,2,1,4,
2,4,6,1,6,1,1],[1,9,2,1,4,4,2,3,9,6,3,2,1,4,2,4,3,3,1,6,1,1],[1,27,2,1,4,4,2,
18,9,36,36,18,2,1,4,2,4,6,3,12,6,12,1,1],[1,3,2,1,4,4,2,3,6,3,1,2,1,4,2,4,1,1,
3,2,1,1],[1,14,3,7,1,7,1,7,3,2,1,1,1,1],[1,7,7,8,1,1],[1,6,1,1,3,1,2,1,6,1,1,
1,3,2,1,1],[1,3,5,15,1,15,1,1,5,5,3,1,3,5,1,3,1,1,1,1],[1,3,15,5,1,15,1,1,5,5,
3,1,3,5,1,3,1,1,1,1],[1,3,1,1,1,3,3,1,1,1,3,1],[1,1,1,3,1,1,1,1,1,3,1,1],[1,5,
1,5,1,5,1,1,5,5,1,1,1,5,1,1,1,1,1,1],[1,30,1,1,15,1,1,10,1,6,5,1,3,1,2,1],[1,
1,10,1,5,1,1,10,1,2,5,1,1,1,2,1],[1,1,1,15,1,1,1,5,1,3,1,1],[1,5,1,15,1,5,1,5,
1,3,1,1],[1,5,1,15,1,5,1,5,1,3,1,1],[1,5,1,5,1,5,1,5,1,1,1,1],[1,5,1,5,1,5,1,
5,1,1,1,1],[1,3,5,15,1,15,1,5,1,5,3,1,3,5,1,3,1,1,1,1],[1,5,1,15,1,5,1,5,1,3,
1,1],[1,5,1,5,1,5,1,5,1,1,1,1],[1,3,5,15,1,15,1,5,1,5,3,1,3,5,1,3,1,1,1,1],[1,
3,4,1,1,3,1,4,1,1],[1,3,4,1,1,3,1,4,1,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,
10,6,5,1],[1,1,14,7,1,7,1,2,1,1],[1,6,5,6,3,15,6,10,3,6,10,1,2,1,1,6,15,9,9,3,
3,6,1,15,3,3,6,2,6,2,2,2,3,2,6,2,2,2,5,6,2,3,6,5,4,1,3,3,2,1,2,3,3,3,3,3,5,9,
1,9,3,3,3,5,6,3,5,6,4,2,1,2,1,2,1,2,3,1,3,1,1,1,5,3,3,1,3,1,1,3,1,1,1,1,1,1,1,
3,1,1,1,3,1,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,8,8,16,1,8,3,3,12,
32,4,12,32,16,16,1,2,4,2,12,8,3,12,2,5,16,3,2,10,3,8,12,12,16,12,3,5,6,2,8,4,
6,2,24,4,16,2,16,2,4,4,16,12,4,8,12,4,16,24,12,4,8,16,24,2,1,2,1,2,1,4,1,4,2,
2,2,2,4,2,1,4,2,4,2,2,2,4,1,2,2,6,6,4,6,4,5,8,3,1,3,2,3,3,2,1,6,6,6,4,1,4,2,2,
4,4,2,4,8,4,2,4,2,4,4,8,1,2,2,6,4,2,2,2,6,2,2,4,2,4,2,4,4,4,4,6,2,4,6,4,4,4,2,
1,2,1,1,1,2,2,4,1,1,2,1,2,2,1,2,2,1,1,3,2,2,4,1,2,1,2,2,4,1,2,1,1,2,2,1,1,1],[
1,6,5,6,1,11,6,6,10,3,6,10,1,2,1,1,6,5,3,9,3,10,6,3,6,3,1,5,3,6,10,6,2,2,2,2,
3,2,6,2,2,2,5,6,2,3,6,5,4,1,1,3,2,2,1,2,1,1,2,2,1,1,2,2,3,3,3,1,5,5,3,3,1,2,6,
6,4,2,5,6,3,4,2,1,2,1,2,1,2,3,1,3,1,1,1,5,3,3,1,1,2,1,1,1,1,2,1,1,1,1,1,1,1,1,
1,2,1,1,1,1,2,1,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,4,10,12,9,6,20,12,2,
2,4,4,12,11,10,18,6,12,6,2,2,4,4,10,6,4,4,4,12,4,4,6,6,4,6,6,1,4,4,4,2,6,9,6,
1,4,12,4,4,6,1,4,2,2,6,2,2,4,4,2,1,6,2,2,2,6,2,1,1,1,2,1,1,2,2,2,1,2,2,1,2,1,
1],[1,4,8,12,2,3,6,6,16,4,8,4,1,2,4,2,8,1,2,5,10,3,6,6,9,4,8,4,6,6,2,1,4,2,1,
2,8,1,2,5,2,2,2,2,4,6,2,2,2,4,2,1,3,2,4,4,1,5,2,2,1,4,2,2,2,1,4,2,3,3,1,4,3,1,
4,2,2,10,6,2,4,2,1,2,2,1,2,2,1,3,1,1,1,1,4,1,2,2,2,2,2,2,1,1,1,1,1,2,2,1,4,1,
1,1,2,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,4,4,4,3,12,3,9,2,
4,2,2,4,4,4,1,2,12,9,3,2,3,2,18,9,2,2,1,12,2,2,9,9,6,2,9,18,18,18,2,2,1,2,2,2,
2,2,2,2,2,2,2,2,2,4,2,4,3,1,2,3,1,2,2,2,2,4,9,1,1,2,9,1,9,1,18,1,9,1,9,2,9,18,
6,2,2,2,2,2,4,4,3,9,18,2,18,2,1,2,2,1,1,1,1,1,1,2,2,2,2,4,2,2,4,1,1,3,1,3,1,1,
1,1,1,1,1,3,1,3,1,9,1,9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,
4,4,4,1,12,3,3,2,4,2,2,4,4,4,1,2,4,3,8,4,3,2,3,2,6,3,2,2,4,2,6,3,8,7,6,4,2,1,
2,2,2,2,2,2,2,4,4,2,2,1,4,1,2,1,1,2,2,2,2,4,6,2,1,6,3,1,3,1,3,4,3,2,3,2,4,4,4,
2,2,4,4,2,6,6,2,1,2,2,2,2,1,1,2,2,2,2,4,2,2,1,1,2,2,2,2,1,1,1,2,2,2,3,2,6,1,2,
3,2,2,2,1,1,2,1,1,2,1,1,2,1,1],[1,4,6,12,1,6,9,9,2,12,2,2,12,12,12,2,2,12,6,6,
9,6,18,6,18,18,6,12,12,6,12,9,9,36,6,18,2,1,2,6,6,6,6,4,6,12,12,6,12,6,6,24,2,
6,6,6,1,6,6,6,6,6,6,6,9,3,18,3,18,6,18,9,6,9,12,6,12,36,6,6,6,6,18,1,6,6,3,3,
6,6,2,6,6,6,12,2,2,6,6,6,3,1,6,2,6,6,3,3,6,6,6,12,3,6,9,3,6,9,6,3,2,6,1,3,2,6,
1,3,1,3,1],[1,4,4,4,1,4,3,3,2,4,2,2,4,4,4,1,4,2,4,3,2,3,2,3,8,6,3,2,2,3,3,6,2,
2,2,1,2,2,2,2,2,4,2,4,4,2,4,2,2,1,1,2,1,2,8,2,2,8,2,1,2,3,1,3,4,3,2,3,1,6,1,1,
6,2,2,1,2,2,1,1,2,2,2,2,2,2,2,4,2,1,1,1,2,1,4,1,2,2,6,2,2,1,1,3,1,1,1,2,2,1,1,
2,2,1,1,1,1,1],[1,4,4,4,1,8,3,15,2,4,2,2,4,4,4,1,2,4,5,3,2,3,2,18,21,2,2,2,4,
3,6,2,3,18,12,30,4,12,12,2,1,2,2,2,2,2,2,2,4,2,4,2,8,1,1,2,5,1,2,2,2,2,1,2,3,
1,3,1,6,2,9,2,9,2,3,18,6,12,6,24,2,4,4,4,4,6,2,6,6,3,2,3,24,1,2,2,1,1,2,2,2,2,
2,2,4,4,2,2,1,1,2,2,2,2,1,1,2,2,3,1,3,1,2,2,6,2,2,2,6,6,1,2,1,1,2,1,1,2,1,1,2,
1],[1,4,4,4,1,4,3,3,2,4,2,2,4,4,4,1,2,4,3,4,3,2,3,2,6,3,2,2,3,2,3,6,6,4,2,1,2,
2,2,2,2,2,2,2,2,1,1,2,1,1,2,2,2,2,1,2,3,1,3,1,3,3,2,3,2,2,2,6,6,2,6,6,2,1,2,2,
1,1,2,2,2,2,4,1,1,2,2,1,1,3,1,3,1,2,6,1,1,1,1,1,1,1,1],[1,4,6,12,4,9,2,12,4,8,
12,2,2,12,4,4,9,6,18,6,12,4,2,6,2,2,4,4,6,6,4,4,12,4,4,4,4,6,6,4,6,6,6,4,4,1,
4,2,9,6,1,12,4,4,4,6,1,4,2,2,6,2,2,4,4,2,1,6,2,2,2,6,1,2,1,2,1,1,1,2,2,2,1,2,
2,1,2,1,1],[1,4,4,12,6,3,6,2,8,4,12,8,4,1,2,2,8,1,4,2,3,6,3,6,6,9,4,8,4,4,2,6,
6,2,1,2,1,4,2,4,1,2,5,2,2,2,2,6,2,4,2,2,4,4,2,1,3,2,4,4,1,5,2,2,2,1,2,4,4,2,3,
3,1,2,1,4,3,1,2,2,10,6,2,4,4,2,1,2,2,1,2,3,1,2,1,1,1,1,4,1,2,2,2,2,2,2,1,1,1,
1,1,2,2,1,1,4,1,1,2,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,8,6,
8,3,18,1,3,12,24,4,12,24,8,8,4,18,36,3,12,18,4,12,1,18,4,4,3,3,24,9,18,8,6,24,
12,12,12,8,12,24,4,12,12,4,4,12,12,1,12,6,36,6,12,9,6,18,6,9,36,4,12,12,4,1,9,
4,6,4,2,8,6,12,6,6,6,12,12,4,12,12,4,12,4,4,3,12,4,3,6,9,12,6,6,4,1,4,6,6,4,4,
1,1,1],[1,6,3,6,3,9,2,6,6,6,3,6,6,4,4,1,1,2,9,9,3,1,2,3,3,2,4,4,1,9,3,3,6,6,6,
6,6,2,2,2,3,6,2,2,2,3,2,2,2,2,3,6,3,2,2,4,4,3,2,1,3,3,3,1,2,3,9,1,3,3,3,3,1,3,
1,3,6,3,3,2,2,4,2,4,2,6,2,2,1,2,2,1,2,3,3,1,1,1,2,3,3,1,1,1,1,2,2,1,1,1,3,3,1,
1,1,3,1,1,1,1,1,1,1,3,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,8,6,8,
1,10,1,5,12,24,4,12,24,8,8,4,6,2,12,4,3,12,10,2,4,12,2,4,1,2,2,2,3,4,4,6,2,8,
6,24,12,12,12,8,12,24,4,4,4,4,12,4,4,4,1,4,4,1,1,2,2,3,6,2,2,1,1,4,2,2,3,4,2,
2,2,2,4,4,4,4,2,2,2,2,4,2,8,1,2,6,2,1,6,2,2,4,2,2,4,4,4,2,2,1,2,2,2,4,1,1,1,1,
1,2,1,2,2,2,1,2,1,1,1,1,2,2,1,1,1],[1,6,3,6,1,13,2,4,6,6,3,6,6,4,4,1,1,2,3,2,
9,3,1,2,6,1,3,2,4,4,5,1,5,2,1,2,2,6,4,6,10,4,2,2,3,6,2,2,2,3,2,2,2,2,3,8,2,3,
4,4,1,2,2,1,2,1,1,2,1,2,1,2,1,1,3,1,1,3,1,1,3,3,4,2,2,3,6,2,2,2,4,2,5,2,1,4,2,
2,2,2,4,1,2,2,1,2,1,3,1,1,3,2,1,1,1,1,3,3,2,2,1,1,1,1,1,1,2,2,1,1,1,1,2,1,1,1,
1,1,1,1,1,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,8,6,8,1,6,5,5,12,
24,4,12,24,8,8,4,6,12,3,12,4,8,6,4,4,12,5,3,8,2,6,2,2,8,6,24,12,8,12,8,12,8,
12,24,4,12,4,1,4,3,6,4,4,3,1,4,1,1,1,4,4,8,8,4,4,2,2,2,2,4,4,4,2,8,6,4,6,4,4,
4,4,8,4,1,1,2,1,1,2,1,4,4,1,2,1,4,1,2,2,2,2,2,2,1,1,1],[1,8,6,8,1,6,1,9,12,24,
4,12,24,8,8,4,6,12,3,12,6,8,4,12,1,4,3,8,8,4,4,4,8,6,24,12,12,12,8,12,24,4,12,
16,4,1,4,3,6,4,4,3,2,2,8,4,4,8,8,2,2,1,4,1,2,4,4,4,2,8,6,4,6,4,8,4,4,8,1,2,1,
2,1,4,4,2,2,4,2,1,2,2,4,4,1,1,1],[1,4,6,12,4,5,4,6,12,8,4,8,2,4,4,2,4,3,10,4,
6,4,2,8,4,8,4,12,2,4,2,4,2,4,6,4,4,2,4,4,4,4,4,8,4,2,4,2,4,4,1,4,4,2,4,2,6,4,
2,1,2,1,4,8,4,4,4,4,4,4,4,1,4,2,4,2,2,2,2,2,4,4,4,2,2,1,2,2,4,2,1,1,1,2,2,1,2,
4,1,2,1,2,2,2,2,1,2,1,1],[1,4,6,4,13,6,12,4,4,3,6,12,12,14,6,4,6,12,4,1,3,6,3,
12,12,2,6,6,2,1,6,6,3,3,6,6,3,1,3,1],[1,4,6,4,5,6,12,4,4,3,6,4,4,2,10,4,6,4,4,
1,1,2,1,4,4,4,4,1,2,2,1,1,2,2,1,1,1,1],[1,4,6,4,5,8,6,12,4,4,3,6,4,12,8,2,12,
2,4,4,6,4,8,4,1,1,6,2,1,2,4,8,4,8,2,2,4,2,4,2,1,2,4,2,4,1,3,2,2,4,2,4,1,2,1,1,
2,1],[1,4,6,4,5,6,12,4,4,3,6,4,4,2,2,8,4,6,4,4,1,1,2,1,4,4,4,4,1,2,2,1,1,2,2,
1,1,1,1],[1,4,2,12,3,6,1,3,2,4,2,2,4,4,4,2,4,6,6,1,6,6,6,4,4,6,4,1,6,2,6,3,3,
3,6,4,1,4,2,2,2,2,2,2,2,2,2,2,6,4,1,6,2,2,2,4,2,2,6,1,2,3,3,6,3,3,6,2,6,2,4,2,
6,4,2,2,1,3,2,2,2,2,4,1,2,1,1,2,2,2,2,2,2,2,2,3,6,2,2,2,1,2,2,1,3,1,2,3,1,1,2,
2,2,2,1,2,1,1,2,1,2,1,1,1,1],[1,4,2,12,1,14,1,5,2,4,2,2,4,4,4,2,4,2,2,8,2,1,6,
6,2,6,4,4,6,4,6,2,2,1,2,2,2,8,5,4,8,6,2,4,1,4,2,2,2,2,4,4,2,4,2,4,2,4,4,1,4,2,
2,2,2,4,1,1,4,1,2,1,3,2,1,1,1,4,2,2,2,4,4,1,2,2,2,8,4,2,4,4,4,8,2,8,4,4,2,2,2,
2,2,2,2,2,4,1,2,1,1,2,2,2,4,4,4,2,2,2,1,2,2,2,4,2,2,1,2,2,1,1,1,1,1,2,1,2,2,2,
4,4,4,2,1,2,1,1,2,1,2,1,1,1,1],[1,4,4,20,1,4,3,3,2,12,2,2,12,12,12,1,2,16,4,3,
2,3,10,3,4,6,3,10,16,16,10,16,3,3,6,2,2,4,1,4,6,6,4,6,12,12,6,12,6,6,24,1,1,4,
1,2,4,1,2,8,8,8,4,3,5,3,2,3,4,3,1,2,1,1,4,8,4,2,8,8,8,8,2,2,2,2,4,3,2,2,6,2,2,
2,2,6,6,1,2,2,1,1,2,2,1,2,1,4,2,2,2,2,1,1,2,1,2,4,4,1,2,2,1,1,2,2,1,1,1,1,1],[
1,4,2,12,1,2,5,5,2,4,2,2,4,4,4,2,4,4,2,4,1,6,4,6,2,4,6,4,4,6,4,5,1,8,2,6,4,1,
4,2,4,2,4,4,2,4,4,2,4,2,2,1,2,4,4,2,4,4,2,4,2,2,2,4,1,3,4,3,2,1,2,1,8,2,8,4,2,
2,2,2,2,2,2,4,1,2,2,2,2,2,2,4,2,4,2,1,2,2,2,2,2,4,2,2,2,1,2,1,2,1,1,4,1,1,2,2,
1,1,2,2,1,1,1,1,1],[1,4,2,12,1,6,1,5,2,4,2,2,4,4,4,2,4,2,2,2,1,6,6,2,6,4,4,6,
4,2,4,1,2,2,1,4,4,6,4,4,4,1,4,2,2,2,2,4,2,4,2,2,4,1,2,2,2,2,4,1,2,1,3,2,2,1,2,
2,2,1,2,2,2,2,4,2,4,2,8,4,4,2,2,2,2,2,2,2,2,4,1,2,2,2,2,4,4,2,1,2,1,4,1,2,1,1,
1,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,4,2,12,1,2,1,9,2,4,2,2,4,4,4,2,4,2,6,1,6,2,8,
6,4,4,6,4,1,4,2,1,8,6,4,4,4,1,4,2,2,2,2,2,2,8,2,4,1,2,2,2,2,4,1,2,1,3,4,3,3,2,
2,2,4,2,2,2,2,8,8,8,2,2,1,2,1,2,2,4,1,2,2,2,2,4,2,2,2,1,2,1,4,1,2,1,1,1,4,2,4,
2,2,1,1,1,1,1,1,1,1],[1,4,2,12,8,5,4,2,4,4,16,4,8,2,4,4,2,4,1,6,4,6,4,2,8,4,4,
8,6,12,2,4,2,4,2,4,2,4,4,2,4,4,4,4,4,4,8,4,2,4,2,4,4,4,2,4,2,4,2,6,4,1,1,2,1,
8,4,4,4,4,4,4,4,4,2,4,2,4,1,2,2,2,2,4,4,4,2,2,2,2,1,4,2,2,1,2,1,2,1,4,1,1,2,2,
2,2,2,1,1,2,1,1],[1,4,4,12,3,12,3,9,2,12,2,2,12,12,12,1,12,12,9,3,6,3,18,9,6,
12,12,6,12,1,12,2,6,9,9,6,9,18,18,18,1,6,6,4,6,12,12,6,12,2,2,6,6,6,6,24,3,1,
3,6,6,6,4,9,6,1,6,9,3,9,18,3,9,9,9,18,6,6,6,6,12,6,6,12,6,6,3,9,18,6,6,18,1,3,
3,2,6,2,2,6,6,6,6,6,6,6,6,12,1,2,3,3,6,6,3,6,6,3,3,3,9,9,3,6,3,3,6,6,12,6,3,1,
3,2,2,6,6,1,1,3,3,1],[1,4,2,4,3,6,5,15,2,4,2,2,4,4,4,6,1,2,4,4,6,12,2,2,1,6,2,
2,15,15,3,24,6,24,4,2,18,12,1,2,4,2,4,2,2,2,2,2,2,2,2,8,2,1,2,3,1,12,2,6,1,12,
2,1,2,3,4,4,12,2,12,2,2,2,2,2,4,4,5,3,24,2,6,18,6,3,2,3,24,1,1,2,1,2,2,2,4,2,
2,4,2,2,2,2,1,1,4,2,1,1,2,2,3,1,3,1,2,2,12,2,2,2,2,6,1,2,1,1,2,1,1,2,1,1,2,
1],[1,4,2,4,3,6,1,3,2,4,2,2,4,4,4,2,2,6,6,1,2,2,6,2,2,1,6,2,2,3,3,2,3,6,2,1,2,
2,4,2,4,4,2,4,2,2,2,2,2,2,1,2,2,6,1,6,2,1,6,1,2,3,1,1,6,1,1,3,6,2,2,2,2,2,1,3,
2,2,1,1,1,2,2,2,4,2,2,2,2,2,2,2,1,2,1,1,2,2,3,6,2,1,1,1,1,1,3,2,1,1,1,1,1,2,2,
2,2,1,1,1,1,1],[1,4,2,4,3,6,1,3,2,4,2,2,4,4,4,6,1,2,4,6,2,2,1,6,2,2,3,3,3,6,4,
2,6,1,2,2,2,2,2,2,2,2,2,2,2,1,2,3,1,2,6,1,2,2,1,3,2,2,2,2,2,2,1,3,2,6,6,2,6,6,
1,1,1,2,2,2,2,2,2,4,1,1,2,1,1,1,1,3,3,2,2,6,1,1,1,1,1,1,1,1],[1,4,4,12,1,8,3,
15,2,12,2,2,12,12,12,1,12,4,5,3,6,3,18,21,6,12,12,6,12,2,3,6,2,2,3,18,12,30,6,
12,12,1,6,6,4,6,12,12,6,12,6,4,6,12,24,1,1,5,6,6,6,1,1,3,3,3,6,9,3,9,3,18,6,6,
12,6,24,6,6,6,6,12,12,12,12,6,6,6,6,3,6,3,24,1,3,3,2,6,2,2,6,6,12,12,12,6,6,1,
2,2,2,2,3,12,12,3,3,3,3,3,3,6,6,6,6,6,12,6,6,3,1,3,4,12,1,1,3,3,1],[1,4,2,4,1,
10,5,13,2,4,2,2,4,4,4,2,4,1,2,4,4,10,8,2,2,4,4,5,4,4,2,9,32,16,28,2,2,14,8,1,
2,4,2,4,2,2,4,2,4,4,2,4,2,1,2,1,1,4,2,4,2,2,1,4,8,12,1,2,1,4,4,12,2,4,8,2,4,4,
4,4,4,12,2,2,4,20,2,10,4,4,32,1,1,2,2,1,2,2,4,2,2,4,4,4,2,1,4,2,1,1,2,2,1,1,1,
2,2,4,2,2,2,2,2,8,4,4,1,2,1,1,2,1,1,1,2,1,2,1],[1,4,2,4,1,6,1,5,2,4,2,2,4,4,4,
2,2,2,2,2,1,2,2,6,2,2,2,2,1,2,2,2,1,4,4,6,6,4,1,2,2,4,2,4,4,2,4,2,4,2,4,1,2,2,
2,1,2,1,1,1,1,1,2,1,3,2,2,1,2,2,2,2,4,4,2,2,2,2,2,2,1,1,1,2,2,2,4,2,4,4,4,1,2,
1,2,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,4,2,4,1,6,1,5,2,4,2,2,4,4,4,2,2,4,1,2,
4,6,2,2,2,2,1,2,2,4,1,4,4,6,4,2,2,1,2,2,2,2,2,4,2,4,1,2,2,1,1,2,2,1,2,2,2,2,2,
2,1,1,2,2,4,4,4,2,2,2,4,2,1,1,1,2,2,2,2,4,4,1,1,2,1,2,1,1,1,2,2,2,4,4,1,1,1,1,
1,1,1,1],[1,4,4,12,1,12,3,3,2,12,2,2,12,12,12,1,12,4,3,8,4,3,6,3,6,3,6,12,12,
6,12,4,2,2,3,2,8,7,6,4,2,1,6,6,4,6,12,12,6,12,4,4,6,6,24,1,4,1,1,6,6,6,1,4,2,
1,2,3,3,3,1,1,4,3,3,2,4,4,4,2,2,6,2,4,6,4,8,6,8,2,2,2,2,2,3,2,6,2,2,2,2,6,2,2,
6,4,1,2,1,1,2,2,2,2,3,2,2,1,1,1,2,2,1,1,1,2,2,4,4,1,1,1,2,2,2,2,1,1,1,1,1],[1,
4,2,4,1,10,5,5,2,4,2,2,4,4,4,2,8,1,2,4,4,2,4,2,2,4,2,2,5,8,5,8,4,4,2,6,4,1,2,
4,2,4,2,2,4,4,2,2,4,1,2,1,1,4,2,1,2,2,4,1,2,1,2,4,4,4,2,2,4,4,2,2,2,2,2,2,2,2,
8,4,4,2,1,2,2,2,4,2,2,4,4,1,2,1,2,1,1,1,1,2,2,2,2,4,4,4,1,1,1,1,1,1,1,1],[1,4,
2,4,1,14,1,5,2,4,2,2,4,4,4,2,2,2,2,8,2,1,2,2,6,2,2,2,6,2,6,1,2,2,8,5,4,8,6,1,
2,2,4,2,4,4,2,4,4,8,2,4,2,1,2,2,2,4,1,4,2,1,4,2,1,2,1,1,1,2,3,1,4,2,2,2,4,4,1,
2,4,4,4,4,2,2,2,2,2,2,2,1,2,2,2,2,4,2,2,2,2,2,4,4,1,2,1,1,2,2,1,2,2,2,4,1,1,1,
2,2,1,1,1,2,2,1,1,1,2,2,2,2,1,1,1,1,1],[1,4,2,4,1,10,1,9,2,4,2,2,4,4,4,2,8,1,
2,4,2,8,2,2,4,2,2,1,4,8,5,4,8,4,4,2,2,4,1,2,2,2,2,4,4,2,2,8,4,1,2,1,1,2,1,4,2,
2,4,2,2,1,1,2,4,2,4,4,4,4,2,2,2,2,2,1,2,1,2,8,4,4,2,1,2,2,2,2,2,4,4,2,2,1,2,1,
2,1,1,1,1,2,2,2,2,4,4,2,2,1,1,1,1,1,1,1,1],[1,4,4,12,1,4,3,3,2,12,2,2,12,12,
12,1,12,4,3,4,3,6,3,6,3,6,12,12,6,12,4,3,3,6,4,4,1,6,6,4,6,12,12,6,12,6,6,24,
1,1,1,6,6,6,2,2,3,3,3,2,2,3,3,2,2,2,6,2,6,6,2,2,2,2,2,3,2,6,2,2,6,6,4,1,2,2,3,
1,2,1,1,1,2,2,4,4,1,1,1,1,1,1,1,1],[1,4,2,4,1,2,5,5,2,4,2,2,4,4,4,2,8,1,2,4,4,
2,4,2,2,4,5,2,1,8,2,2,6,1,2,4,2,4,2,2,2,2,1,2,4,1,1,4,2,2,1,4,4,1,2,1,4,4,4,2,
2,2,2,2,2,2,1,2,2,2,4,2,2,1,2,1,2,2,1,1,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,4,2,4,1,
2,1,9,2,4,2,2,4,4,4,2,2,2,6,1,2,2,2,8,2,2,4,1,4,1,8,4,4,4,1,2,2,4,2,4,4,2,4,2,
2,8,1,2,2,2,1,2,2,2,1,1,1,2,4,2,3,2,2,4,2,4,4,2,2,1,2,1,2,1,2,2,2,2,4,2,4,2,2,
1,2,1,2,1,2,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,4,2,4,1,6,1,5,2,4,2,2,4,4,4,2,2,4,
1,2,4,6,2,2,2,2,8,1,2,2,1,4,4,6,2,2,1,2,2,2,2,4,2,4,2,1,4,2,1,1,2,2,4,1,2,2,2,
2,2,1,1,2,2,4,4,2,4,2,2,2,2,1,2,2,2,2,2,4,1,2,2,2,1,1,1,2,2,2,2,4,1,1,1,1,1,1,
1,1],[1,4,2,4,4,5,8,2,4,4,8,4,4,1,2,4,4,4,2,8,8,2,12,6,4,2,4,4,4,8,1,1,2,1,4,
4,8,2,4,2,4,4,2,2,4,2,4,2,1,2,2,4,4,1,1,2,2,2,2,4,4,1,2,1,1,2,1],[1,4,2,4,4,5,
2,4,4,8,4,4,1,2,4,4,4,2,2,10,4,2,4,4,4,1,1,2,1,4,4,4,4,1,2,2,1,1,2,2,1,1,1,
1],[1,4,2,4,4,5,8,2,4,4,8,4,4,1,2,4,4,4,2,8,8,2,12,6,4,2,4,4,4,8,1,1,2,1,4,4,
8,4,2,2,4,4,2,2,4,2,4,2,1,2,2,4,4,1,1,2,2,2,2,4,4,1,2,1,1,2,1],[1,4,2,4,4,5,2,
4,4,8,4,4,1,2,4,4,4,2,2,10,4,2,4,4,4,1,1,2,1,4,4,4,4,1,2,2,1,1,2,2,1,1,1,1],[
1,4,2,4,4,1,12,2,4,4,8,4,4,1,2,4,4,4,2,8,8,6,2,4,8,4,2,4,4,4,8,1,2,1,1,4,4,4,
4,1,4,1,2,4,2,2,2,2,2,2,4,2,2,1,2,2,2,2,4,1,1,1,2,1,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,2,5,10,3,15,10,1,10,1,1,1,6,15,9,9,3,6,2,5,6,6,1,15,1,5,6,6,2,2,5,6,2,2,
6,2,1,5,1,3,3,2,3,3,2,3,3,2,3,2,2,5,9,9,3,3,5,3,1,3,1,6,2,5,5,6,6,4,4,1,2,2,5,
3,1,1,3,1,2,2,3,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,3,3,1,1,3,1,1,1,3,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1],[1,2,5,10,1,11,6,10,1,10,1,1,1,6,5,3,9,3,6,2,10,6,5,
6,6,3,3,3,3,2,6,10,6,2,5,6,2,2,6,2,3,3,1,1,3,2,2,1,1,2,2,2,1,1,2,2,2,3,2,2,1,
3,3,1,3,5,3,1,5,3,2,2,6,6,4,2,6,5,6,5,4,4,1,2,2,3,1,1,1,5,3,2,2,1,2,1,1,1,1,1,
2,1,1,1,1,1,2,1,1,1,1,1,2,1,1,3,3,1,1,3,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1],[1,2,3,10,3,9,2,6,6,1,6,4,4,2,1,1,2,9,9,3,6,1,3,5,2,4,6,4,1,9,1,5,6,6,2,
6,6,6,2,3,2,2,2,6,2,1,3,2,2,4,2,1,2,2,2,3,1,3,3,2,3,1,2,3,1,9,1,3,3,3,3,3,3,3,
6,5,3,2,2,6,4,2,4,4,2,6,2,2,1,2,2,3,1,1,1,3,1,2,2,2,2,1,1,1,1,1,1,1,1,3,3,1,1,
1,1,3,1,1,1,1,1,3,1,1,1,3,3,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,3,
10,1,13,2,4,6,1,6,4,4,2,1,1,2,3,2,9,3,6,1,6,1,5,2,4,6,4,5,3,3,2,1,2,6,4,6,10,
4,2,2,3,2,2,2,6,2,3,2,2,1,4,2,1,2,2,2,1,2,1,2,1,1,2,2,1,2,1,2,1,3,1,1,3,3,3,1,
3,1,4,2,2,3,6,2,2,8,4,2,5,2,3,4,4,2,2,2,2,4,1,2,2,3,1,1,1,3,1,2,2,2,2,1,1,1,1,
1,1,1,1,1,1,1,2,2,1,1,1,1,1,2,1,1,1,1,1,1,3,1,1,1,3,1,2,2,2,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1],[1,8,3,24,3,9,1,4,2,24,9,36,6,5,3,30,9,1,24,9,9,6,24,15,18,30,
18,2,3,6,1,3,12,6,1,2,12,6,6,6,1,6,6,8,9,36,6,15,9,30,9,12,9,9,18,9,6,36,12,3,
6,6,3,15,18,18,6,6,1,6,1,6,3,3,3,6,4,6,3,6,12,6,3,6,12,2,6,3,6,6,3,12,5,3,9,9,
9,6,3,6,6,2,3,6,1,3,1,2,3,6,1,3,1],[1,8,1,8,3,3,1,4,2,8,3,12,2,5,3,10,3,4,8,3,
2,5,6,2,2,1,2,1,1,4,2,1,2,4,2,2,2,1,2,2,1,6,6,16,5,3,8,1,3,3,3,2,1,2,8,6,2,2,
1,2,1,2,1,1,1,2,4,1,2,2,4,1,2,2,2,1,2,2,1,1,1,3,6,8,1,2,1,2,1,1,1,2,1,2,1,1,
1],[1,10,1,10,9,9,2,4,4,10,6,12,4,11,18,22,18,9,11,36,6,18,2,2,4,2,4,6,6,4,4,
1,4,4,4,4,4,2,4,4,11,18,18,18,3,4,2,9,9,1,1,4,4,36,6,2,18,2,4,4,4,2,4,6,2,1,2,
6,2,1,4,2,4,1,1,2,2,1,2,2,9,1,4,9,2,1,1,4,1,2,1,2,1,2,1,2,1,1,1,1,1],[1,8,8,1,
8,3,3,1,2,4,2,4,8,3,12,2,5,4,3,10,10,3,4,4,4,4,4,3,5,6,2,1,2,1,4,1,4,1,4,6,6,
4,2,1,4,2,4,2,2,2,1,2,2,2,2,4,2,5,2,3,5,3,4,3,3,2,1,8,4,2,4,8,2,2,2,1,2,1,2,1,
2,2,2,2,2,4,3,2,2,6,2,1,2,2,1,2,2,1,1,2,1,2,2,4,2,2,2,1,2,1,1,2,1,2,1,2,1,1,
1],[1,8,1,12,3,15,1,4,2,8,5,12,6,5,3,22,21,2,3,6,2,5,18,12,30,12,4,12,2,1,2,1,
5,4,6,1,2,4,6,2,2,1,2,2,1,2,5,3,6,9,4,9,3,18,3,2,4,3,2,6,2,8,12,6,24,6,6,2,6,
3,3,2,4,4,24,2,1,2,1,2,1,2,2,2,2,1,2,2,3,2,4,2,1,1,2,2,3,1,3,1,4,6,2,6,4,6,2,
2,2,2,1,2,1,1,2,1,1,2,1,1,2,1],[1,8,1,8,3,3,1,4,2,8,3,12,2,5,3,10,3,4,3,2,5,6,
10,2,1,2,1,1,4,2,1,2,4,2,2,2,1,2,2,1,2,5,3,2,5,3,3,3,2,1,8,6,2,6,8,2,1,2,1,2,
1,2,2,1,2,2,1,2,1,1,3,1,4,2,6,4,1,1,1,1,1,1,1,1],[1,10,17,2,4,4,11,26,18,14,4,
6,1,4,2,11,3,20,2,10,14,2,2,1,2,3,1,10,6,6,1,2,1,1,2,1],[1,10,9,2,4,4,11,18,8,
6,2,4,6,1,4,2,9,4,1,4,4,2,1,2,1,2,1,2,1,1,1,1],[1,10,9,8,2,4,4,11,18,8,6,12,2,
12,4,6,1,4,2,9,2,1,2,4,16,2,6,12,2,4,2,2,1,2,1,2,1,6,6,4,2,4,1,2,1,1,2,1],[1,
6,3,18,9,27,2,18,18,9,18,54,54,1,18,27,27,12,27,108,54,108,6,54,36,6,6,18,6,
18,27,54,54,54,54,54,108,9,27,108,36,108,9,27,108,18,54,108,54,27,27,216,2,18,
18,1,18,12,9,18,54,54,27,27,108,27,54,108,6,54,36,6,3,18,9,27,1],[1,4,8,3,12,
3,9,1,4,12,9,3,4,3,4,18,9,4,4,4,4,4,1,12,4,9,9,6,9,18,18,18,4,3,1,4,3,2,2,2,4,
9,2,9,2,9,2,18,2,9,2,9,4,9,18,2,4,2,4,2,6,2,4,4,2,4,4,2,8,4,4,3,9,18,2,18,2,1,
3,2,3,2,2,2,2,1,2,2,4,3,2,3,2,9,2,9,2,1,1,1,2,2,2,2,2,2,2,2,2,4,1,2,1,1,2,1,1,
1,2,1,2,1],[1,4,3,12,3,9,1,2,12,9,6,3,3,18,9,1,12,9,9,6,9,18,18,18,2,6,3,1,3,
6,1,6,4,9,6,9,9,18,9,9,9,18,3,6,1,3,6,3,9,18,6,6,18,6,6,1,3,3,1,3,2,3,6,3,3,3,
9,9,3,3,3,3,6,2,6,1,3,3,1,3,1,3,1],[1,4,3,12,3,9,1,2,12,9,3,3,6,18,9,1,12,9,9,
6,2,9,18,18,18,6,3,1,3,1,6,6,4,9,1,9,9,3,18,9,3,9,9,18,6,6,6,6,6,3,9,18,18,6,
6,1,3,3,2,2,1,3,3,6,3,3,3,9,9,3,3,3,3,6,6,1,1,1,3,3,3,3,1],[1,6,1,6,9,9,2,6,6,
9,18,18,18,2,6,9,2,9,36,6,6,18,2,6,6,1,6,1,6,9,18,3,3,18,18,9,9,36,6,6,6,6,6,
6,18,6,1,2,6,3,1,6,2,3,3,3,6,3,3,9,3,6,9,6,3,1,1,3,1,3,3,1],[1,4,8,1,8,3,15,1,
4,4,5,3,4,3,4,18,21,4,4,4,4,4,2,2,2,3,6,2,2,3,18,12,30,2,12,12,1,1,4,5,2,2,2,
1,1,1,2,3,2,3,2,6,1,9,1,9,4,3,18,2,6,4,2,4,12,2,6,24,2,4,4,2,4,4,2,8,4,4,6,2,
6,6,2,3,3,24,1,1,2,2,1,2,2,2,2,2,1,2,2,4,3,1,2,1,2,1,2,1,2,1,3,2,2,2,6,2,2,6,
2,6,4,2,2,1,2,1,1,2,1,1,1,2,1,2,1],[1,4,1,4,3,3,1,2,4,3,4,3,3,6,6,3,2,2,3,2,3,
6,2,4,1,1,1,1,6,6,1,2,1,2,3,3,3,1,1,3,3,2,2,6,2,6,2,2,2,2,2,1,1,1,2,2,2,3,6,1,
1,1,2,1,1,3,1,2,4,1,1,1,1,1,1,1,1],[1,4,1,4,3,3,1,2,4,3,2,3,3,6,3,2,2,3,4,3,6,
8,2,2,1,1,1,2,1,2,2,1,2,3,3,1,4,3,3,1,1,1,6,8,2,2,8,6,2,1,1,1,1,1,2,2,1,2,1,4,
1,1,1,3,1,1,6,4,1,1,1,1,1,1,1,1],[1,6,1,14,9,9,2,6,6,8,8,9,18,18,18,4,9,8,13,
36,4,6,18,4,2,8,6,6,4,4,9,18,8,18,18,2,8,4,8,4,4,9,9,2,36,2,6,2,2,18,2,8,4,4,
4,6,4,4,1,6,4,1,4,2,9,1,4,4,9,4,2,2,2,2,4,4,2,1,2,2,4,1,1,2,1],[1,4,8,1,12,3,
3,1,4,4,3,8,4,3,4,3,4,6,3,4,4,4,4,4,4,3,2,8,7,6,4,6,1,4,1,4,1,2,2,2,1,4,2,3,2,
3,2,3,4,3,4,3,2,4,4,4,2,2,2,4,2,4,2,6,6,2,8,2,8,2,6,2,6,2,1,2,2,2,2,2,2,2,1,2,
2,3,1,2,1,1,3,2,2,2,2,6,4,4,4,4,4,1,1,1,4,1,1,1,1,4,1],[1,4,1,16,3,15,1,2,4,5,
8,6,3,3,18,21,6,3,6,2,8,7,18,16,30,12,2,2,12,1,4,1,5,2,4,1,4,2,1,4,2,3,3,6,9,
8,9,3,18,2,4,4,8,3,2,6,1,1,12,6,24,2,6,6,2,6,2,3,3,2,8,4,4,24,2,1,2,2,2,1,2,1,
2,2,1,2,2,4,1,2,3,1,2,1,3,1,6,4,2,3,6,2,6,2,2,2,4,2,2,1,1,1,2,2,1,1,2,1,1,2,
1],[1,4,1,12,3,3,1,2,4,3,8,4,3,3,6,6,3,4,4,3,8,7,6,4,4,1,4,1,1,1,6,6,4,2,2,3,
3,3,2,2,4,3,3,2,4,4,4,2,2,6,6,2,2,2,2,2,2,1,2,2,2,2,2,3,6,1,2,2,1,1,3,1,2,2,2,
4,1,1,1,1,1,1,1,1],[1,4,8,1,4,3,3,1,4,4,3,4,3,4,3,4,6,3,4,4,4,4,4,2,6,3,3,6,4,
1,1,4,1,2,2,2,6,2,1,6,3,2,3,2,3,3,4,3,2,2,2,2,4,2,4,2,2,2,6,6,2,2,2,1,2,2,2,2,
2,1,2,2,3,6,1,3,1,1,2,2,2,4,1,1,1,1,1,1,1,1],[1,4,1,4,3,3,1,2,4,3,2,3,3,6,3,2,
10,3,3,6,4,2,2,1,1,1,2,1,2,8,1,6,3,3,5,2,3,3,1,1,1,2,6,8,2,2,2,2,1,2,1,1,2,1,
2,1,4,6,3,1,1,2,1,4,1,1,1,1,1,1,1,1],[1,4,1,8,3,15,1,2,4,5,3,3,6,18,21,2,2,6,
3,6,2,3,18,12,30,12,12,1,1,5,1,6,6,1,6,1,6,3,3,3,6,3,9,9,3,18,6,6,12,6,6,24,6,
6,6,6,6,3,3,24,2,1,2,2,2,2,1,3,3,6,3,3,3,6,3,3,3,3,6,6,6,6,1,1,1,3,3,3,3,1],[
1,6,1,6,13,13,2,6,6,9,18,18,18,13,9,36,12,36,6,6,2,6,6,9,18,18,18,9,9,6,6,36,
12,6,18,6,6,1,3,6,7,3,12,6,6,6,1,6,9,6,9,3,3,3,3,6,1,3,6,3,6,6,3,1,1,1,3,3,3,
3,1],[1,6,1,6,9,17,2,6,6,9,18,18,18,9,4,9,36,6,30,12,12,2,6,6,9,18,18,18,9,9,
12,36,6,6,6,18,6,6,2,6,12,6,6,6,6,6,1,6,9,6,9,6,6,6,1,3,6,3,6,6,3,1,2,3,3,3,3,
1],[1,6,4,13,4,2,4,4,9,18,2,8,12,6,6,8,4,6,1,4,2,9,1,6,6,2,2,6,2,1,3,6,1,5,8,
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],[1,6,4,9,8,2,4,4,9,18,2,8,
6,12,14,4,6,1,4,2,9,1,12,2,2,4,4,2,6,12,2,4,2,2,1,2,1,2,1,6,6,2,4,4,1,2,1,1,2,
1],[1,6,4,9,2,4,4,9,18,2,8,6,2,4,6,1,4,2,9,1,4,4,4,2,1,2,1,2,1,2,1,1,1,1],[1,
6,4,9,8,2,4,4,9,18,2,8,6,12,14,4,6,1,4,2,9,1,12,2,2,4,4,2,6,12,2,4,2,2,1,2,1,
2,1,6,6,2,4,4,1,2,1,1,2,1],[1,6,8,3,18,1,3,2,4,4,18,36,3,4,2,18,4,4,4,4,4,1,
18,4,3,3,2,24,9,18,2,4,1,4,2,2,12,1,4,12,2,2,4,2,6,1,36,2,9,2,1,18,2,1,9,36,2,
2,4,4,2,4,4,8,2,8,1,9,2,2,6,2,2,4,1,2,1,1,2,4,2,3,2,12,2,2,2,1,2,2,3,2,1,1,1,
9,2,1,2,4,2,2,4,2,1,2,1,1,1,2,1,2,1,1,1],[1,6,8,1,10,1,5,2,4,4,6,2,12,4,3,4,2,
10,2,4,4,4,4,4,2,4,4,1,2,2,3,4,4,6,4,1,4,2,2,4,4,1,4,4,4,2,2,4,2,1,2,6,12,3,2,
1,2,6,1,4,2,2,3,4,2,2,2,2,4,4,2,4,4,2,2,4,2,2,2,4,1,2,1,1,2,2,4,1,2,2,4,2,4,2,
2,1,2,2,1,1,1,2,6,2,1,2,2,4,2,1,2,1,1,1,2,1,2,1,1,1],[1,6,16,1,6,5,5,4,4,8,6,
12,3,8,4,4,6,4,8,8,8,8,8,5,3,8,2,6,2,2,8,2,8,4,8,8,4,4,1,8,4,4,4,8,4,3,4,4,2,
3,1,1,1,1,4,4,8,4,8,4,4,4,8,8,2,2,2,2,4,4,4,4,8,2,4,4,4,2,4,2,8,1,4,1,1,2,2,2,
1,1,4,4,1,1,4,4,4,2,2,2,2,1,2,2,1,1,1],[1,6,8,1,10,1,5,2,4,4,6,2,12,4,3,4,2,
10,2,4,4,4,4,4,2,1,2,2,3,4,4,6,8,4,1,4,2,2,4,4,1,4,4,4,2,2,4,2,1,2,3,2,1,2,1,
4,4,2,2,3,4,2,2,2,2,4,2,2,8,4,4,2,2,4,2,2,4,1,2,2,2,1,2,2,2,4,1,4,1,2,1,2,2,2,
2,4,4,4,1,1,1,1,1,1,1,1],[1,6,8,1,6,1,9,2,4,4,6,12,3,4,2,6,8,4,4,4,4,4,4,1,4,
2,3,8,2,4,4,4,4,1,4,2,2,4,1,4,4,2,2,4,2,1,2,3,2,1,2,4,1,3,2,2,8,2,4,2,2,2,8,4,
4,2,2,2,2,1,1,2,4,4,2,2,4,1,2,2,2,1,2,2,2,1,4,1,2,1,1,1,4,2,2,2,2,2,4,2,2,1,1,
1,1,1,1,1,1],[1,6,8,13,2,4,4,3,4,12,2,4,14,6,4,2,4,1,4,2,3,3,12,4,4,2,6,6,4,2,
2,2,1,3,1,6,6,2,4,4,1,2,1,1,2,1],[1,6,8,5,2,4,4,3,4,4,10,4,2,10,4,2,4,1,4,2,1,
4,1,4,4,4,4,2,2,1,1,2,1,2,1,1,1,1],[1,6,8,5,2,4,4,3,4,4,10,4,2,2,8,4,2,4,1,4,
2,1,4,1,4,4,4,4,2,2,1,1,2,1,2,1,1,1,1],[1,6,8,5,8,2,4,4,3,4,4,2,8,4,2,12,2,4,
4,2,4,1,4,2,1,2,1,2,4,8,4,4,2,2,4,2,4,4,2,2,2,1,1,2,1,2,4,2,2,4,4,4,1,2,1,1,2,
1],[1,6,8,1,12,2,4,4,3,4,2,12,4,6,6,8,4,2,4,1,4,2,3,3,12,4,4,2,3,3,6,4,1,1,2,
2,1,3,1,6,3,3,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,2,8,3,6,5,15,2,4,6,1,4,4,2,6,12,4,
4,4,4,4,1,6,4,15,15,2,3,24,6,24,2,2,18,12,1,2,4,4,2,2,2,2,2,1,2,3,2,12,1,6,2,
12,1,1,3,4,2,4,12,12,2,4,4,2,4,4,2,8,4,4,5,3,24,2,6,18,2,6,3,3,24,1,1,2,1,2,2,
2,4,2,1,2,4,1,2,4,1,1,2,2,1,1,3,3,2,2,2,12,2,2,2,2,2,2,2,6,1,2,1,1,2,1,1,1,2,
1,2,1],[1,2,3,6,1,3,2,2,6,6,1,6,6,1,6,3,3,2,3,6,6,1,2,2,6,1,6,2,1,6,3,3,6,3,3,
6,2,2,2,2,1,3,2,2,1,1,1,2,2,2,3,6,1,3,1,1,3,1,1,2,4,1,1,1,1,1,1,1,1],[1,2,3,6,
1,3,4,6,1,4,6,1,6,3,3,4,3,6,4,2,6,2,4,4,2,2,3,2,6,2,1,3,4,1,3,6,6,4,6,6,2,2,2,
2,2,1,2,2,2,3,3,2,6,4,2,1,2,1,1,1],[1,2,8,1,10,5,13,2,4,2,4,1,4,4,2,10,8,4,4,
4,4,4,4,2,2,5,4,4,9,32,16,28,4,2,14,8,1,2,4,4,2,2,2,2,2,1,2,1,2,4,1,4,1,2,2,4,
8,12,1,1,4,2,4,12,4,8,2,4,4,2,4,4,2,8,4,4,4,12,2,2,4,20,10,4,2,4,32,1,1,2,2,1,
2,2,4,2,1,2,4,2,2,4,1,1,2,2,1,1,1,2,2,2,4,2,2,2,2,8,4,4,4,4,1,2,1,1,2,1,1,1,2,
1,2,1],[1,2,1,6,1,5,2,2,2,2,2,1,6,6,2,2,2,2,1,2,2,2,1,4,4,6,2,4,1,2,2,2,1,2,1,
1,1,2,1,3,2,1,1,1,2,2,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,2,1,2,2,1,1,1,2,1,1,1,
1,2,2,1,1,1,1,1,1,1,1],[1,2,1,6,1,5,4,2,2,4,1,4,6,2,2,2,2,1,2,2,1,4,4,6,4,2,2,
2,4,4,1,2,1,2,1,2,2,1,1,2,2,2,2,2,1,1,2,2,2,2,2,2,2,2,1,2,2,2,1,2,2,1,1,1,2,1,
1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,2,8,1,10,5,5,2,4,2,8,1,4,4,2,2,4,4,4,4,4,4,4,
4,5,2,8,5,8,4,2,2,6,4,1,2,4,4,2,2,2,2,1,4,2,1,2,4,1,2,1,2,4,1,1,2,4,2,4,4,2,2,
8,2,8,2,2,2,2,2,2,2,2,8,4,4,2,1,2,2,2,4,2,1,2,1,2,1,2,1,1,1,2,2,2,2,4,4,4,4,4,
1,1,1,1,1,1,1,1],[1,2,1,14,1,5,2,2,2,2,8,2,1,6,6,2,6,4,1,2,2,8,5,4,8,6,4,1,2,
2,2,4,1,4,2,1,4,2,1,3,2,2,1,2,4,2,2,2,4,4,1,2,2,2,2,2,2,2,2,2,2,2,1,2,2,2,2,1,
2,2,4,1,2,1,2,1,1,1,2,2,2,4,1,1,1,1,1,1,1,1],[1,2,1,10,1,9,4,2,8,1,4,2,8,4,8,
1,4,8,5,4,8,4,2,2,4,2,4,4,4,4,1,2,4,4,2,4,2,1,1,4,2,4,2,2,2,1,1,2,8,4,4,4,2,4,
2,2,1,4,2,1,1,4,2,2,4,4,2,2,2,1,2,1,1,1],[1,2,8,1,2,5,5,2,4,2,8,1,4,4,2,2,4,4,
4,4,4,4,2,2,5,1,8,4,2,6,1,2,4,4,2,2,2,2,4,1,2,1,2,4,1,1,2,4,4,1,1,4,2,4,4,2,2,
2,2,2,2,2,2,1,2,2,2,4,2,1,2,2,2,1,2,1,1,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,2,1,2,1,
9,2,2,2,6,1,6,2,8,2,6,1,4,1,8,4,4,1,2,2,2,1,2,2,2,1,2,1,3,3,4,3,2,2,2,2,4,2,2,
2,1,1,2,1,2,2,2,2,1,2,2,1,1,2,1,2,1,1,4,2,1,1,1,1,1,1,1,1],[1,2,1,2,5,5,4,2,1,
4,2,5,1,2,6,4,4,2,4,4,1,2,1,1,2,2,2,4,2,2,2,2,1,2,2,1,4,4,1,3,2,2,2,1,2,1,2,1,
2,2,1,2,1,1,2,2,1,1,2,2,1,1,1],[1,2,1,2,1,9,4,2,1,4,2,1,4,1,4,2,6,4,2,4,4,1,2,
1,1,4,2,2,2,2,2,2,2,1,1,4,4,2,4,1,1,2,2,2,1,2,2,1,1,2,1,2,2,1,2,1,1,2,1,2,2,1,
1,1],[1,2,8,4,5,8,2,4,4,1,4,4,2,4,2,8,2,12,6,4,2,4,2,4,1,1,1,4,4,4,2,2,4,4,2,
2,4,2,4,4,2,2,2,1,1,1,2,2,2,2,4,4,4,4,1,2,2,1,1,1],[1,2,8,4,5,2,4,4,1,4,4,2,4,
2,8,2,10,4,2,4,2,4,1,1,1,4,4,4,4,4,2,2,1,1,1,2,2,1,1,1,1],[1,2,8,4,5,8,2,4,4,
1,4,4,2,4,2,8,2,12,6,4,2,4,2,4,1,1,1,4,4,4,2,2,4,4,2,2,4,2,4,4,2,2,2,1,1,1,2,
2,2,2,4,4,4,4,1,2,2,1,1,1],[1,2,8,4,5,2,4,4,1,4,4,2,4,2,8,2,10,4,2,4,2,4,1,1,
1,4,4,4,4,4,2,2,1,1,1,2,2,1,1,1,1],[1,2,8,4,5,8,2,4,4,1,4,2,4,4,2,8,2,12,4,2,
4,2,4,2,4,1,1,1,2,2,4,4,2,2,2,6,2,1,2,2,3,4,4,1,1,2,1,2,1,1,2,2,1,2,1,2,2,2,2,
2,2,2,2,1,1,1,1,1,1,1,1],[1,6,3,18,5,15,4,18,36,3,4,18,12,1,18,15,15,24,9,24,
18,24,2,18,2,6,12,12,1,12,6,36,9,12,18,12,9,36,1,3,1,3,4,12,12,12,5,9,24,6,18,
6,6,6,6,3,3,6,6,12,12,12,12,24,4,3,12,1,3,3,4,9,3,3,3,3,12,12,12,3,3,6,12,6,6,
2,2,6,6,12,12,12,6,6,1,3,3,1,1,4,3,3,12,1],[1,6,3,18,1,3,4,18,36,3,8,18,1,18,
3,3,24,9,18,8,12,1,12,6,36,9,4,18,4,9,36,4,4,4,1,9,6,4,4,3,12,2,3,4,9,2,2,4,2,
4,8,1,1,1,2,2,1],[1,6,1,14,5,13,4,6,4,12,8,3,4,14,8,4,5,4,4,11,32,16,28,2,14,
2,2,8,4,8,1,4,8,2,4,3,4,4,2,8,4,8,12,3,8,4,4,1,1,1,1,4,4,12,4,8,4,12,2,4,2,20,
10,4,4,2,4,4,32,4,1,4,4,8,1,1,2,4,2,1,1,4,4,4,2,4,2,4,8,1,1,4,2,2,4,4,2,1,2,2,
1,2,1,2,2,1],[1,6,1,10,1,5,4,6,2,12,4,3,8,10,2,2,4,1,2,2,2,3,4,4,6,2,4,4,1,4,
4,1,1,2,2,3,4,2,2,1,1,4,2,2,3,4,2,2,4,4,2,2,2,2,2,2,2,2,1,2,2,2,4,2,1,2,1,2,1,
1,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,6,1,6,5,5,4,6,12,3,4,6,4,8,5,4,3,8,4,2,6,2,
2,4,1,4,2,4,3,4,4,2,3,1,1,1,1,4,4,4,4,4,2,2,4,2,2,4,4,4,1,4,1,1,2,4,2,1,1,4,4,
1,1,4,4,4,2,1,2,1,1,1],[1,6,1,6,5,5,4,6,12,3,4,6,4,4,4,5,3,8,8,2,6,2,2,4,1,4,
6,12,3,4,6,4,3,1,1,1,1,4,4,4,4,4,2,2,2,4,2,4,4,4,1,4,1,1,6,4,1,2,1,4,4,1,1,4,
4,1,1,1,2,2,1],[1,6,1,6,1,9,4,6,12,3,8,6,8,4,4,1,4,3,8,4,4,4,4,1,4,6,12,3,4,6,
4,3,4,2,2,8,4,4,4,2,2,1,1,2,4,4,4,1,4,2,2,6,4,2,1,1,4,4,2,2,2,2,1,1,1,2,2,1],[
1,6,1,6,13,13,4,6,12,3,12,6,12,13,3,24,14,42,6,6,4,1,4,3,12,3,3,3,3,3,12,12,
12,14,6,6,6,12,12,2,6,6,14,6,12,6,12,2,6,1,3,3,3,3,12,3,3,12,6,6,12,6,6,12,2,
6,6,2,6,12,6,6,12,6,3,1,3,6,6,6,6,1],[1,6,1,6,5,5,4,6,12,3,4,16,6,4,5,3,8,2,6,
2,2,4,1,4,3,4,8,3,1,8,1,1,1,4,4,4,8,2,2,2,2,4,4,1,1,4,1,1,4,1,4,1,4,1,4,1,2,2,
2,1],[1,6,1,6,5,5,4,6,12,3,4,6,4,5,3,8,2,6,10,10,4,1,4,3,4,3,1,1,1,1,4,4,4,2,
10,2,2,4,4,4,4,8,1,1,1,1,1,4,1,1,4,2,2,4,4,1,1,1,2,2,1],[1,6,1,6,5,5,4,6,12,3,
4,6,4,5,3,8,2,6,2,2,4,1,4,3,4,3,1,1,1,1,4,4,4,2,2,2,2,4,4,8,1,1,1,1,1,4,1,1,4,
4,4,4,1,2,2,2,1],[1,6,1,6,5,21,4,6,12,3,4,6,20,5,8,3,8,16,2,30,2,10,24,4,1,4,
3,4,8,3,1,5,1,5,4,20,4,8,2,12,2,4,2,2,2,2,4,4,4,8,8,4,4,8,4,12,6,6,8,12,4,2,2,
1,1,5,1,2,1,2,4,8,1,1,4,4,4,4,4,8,12,4,8,6,6,2,2,4,2,4,2,2,4,2,4,4,4,4,4,2,2,
4,4,4,4,1,2,2,2,2,4,2,4,1,1,2,4,4,1],[1,6,1,6,5,5,4,6,12,3,4,6,4,5,3,8,16,2,6,
2,2,4,1,4,3,4,8,3,1,1,1,1,4,4,4,8,2,2,2,8,2,4,4,1,1,1,1,4,1,4,1,1,4,8,1,2,2,2,
1],[1,6,1,6,5,5,4,6,12,3,4,6,4,5,3,8,2,6,2,18,4,1,4,3,4,3,1,1,1,1,4,4,4,2,2,8,
2,2,4,4,8,8,1,1,1,1,1,4,1,1,4,4,4,4,1,2,2,1,1,1],[1,6,1,6,5,5,4,6,12,3,4,6,4,
5,3,8,2,6,2,2,4,1,4,3,4,3,1,1,1,1,4,4,4,2,2,2,2,4,4,8,1,1,1,1,1,4,1,1,4,4,4,4,
1,2,2,2,1],[1,6,1,6,1,9,4,6,12,3,8,6,8,1,4,3,8,8,4,4,4,4,1,4,3,4,4,4,3,4,2,2,
8,4,4,4,2,2,1,4,1,2,4,4,1,2,2,2,1,2,1,4,2,2,2,4,2,1,1,1,2,2,1],[1,6,4,13,4,4,
2,4,3,12,4,2,4,12,14,4,6,8,4,1,4,2,4,2,3,3,12,4,4,8,2,6,6,4,8,2,2,3,1,2,1,6,2,
6,4,4,1,1,1,2,2,1],[1,6,4,5,4,4,2,4,3,4,8,4,2,4,12,2,4,2,4,1,4,2,4,2,1,4,1,4,
4,4,4,2,1,2,1,2,1,2,1,1,1,1],[1,6,4,5,12,4,2,4,3,4,4,10,4,12,2,16,10,4,4,1,4,
2,4,2,1,2,1,2,4,8,4,4,8,4,2,2,4,10,4,2,2,1,2,1,2,1,2,2,4,2,4,4,4,1,1,1,2,2,
1],[1,6,4,5,12,4,2,4,3,4,4,10,4,12,2,16,2,12,4,1,4,2,4,2,1,2,1,2,4,8,4,4,4,4,
2,6,4,2,4,4,4,2,2,1,2,1,2,1,2,2,4,2,4,2,4,2,1,1,1,1,1,1,1,1],[1,6,4,1,8,4,2,4,
3,8,4,6,4,4,8,2,2,4,4,1,4,2,4,2,4,1,1,4,4,4,4,2,2,1,1,2,1,2,1,1,1,1],[1,2,8,3,
6,1,3,2,4,6,6,1,4,4,6,4,4,4,4,4,1,6,4,3,3,3,6,4,6,1,6,2,2,2,2,2,6,3,2,2,6,2,2,
3,6,2,2,2,2,4,4,2,4,4,2,1,3,2,2,2,3,6,2,2,1,2,2,1,2,2,1,3,1,1,2,2,4,2,2,1,1,1,
1,1,1,1,1],[1,2,3,6,5,15,4,6,12,1,4,6,12,1,6,15,15,3,24,6,24,2,18,12,12,2,12,
2,12,3,12,6,12,6,12,1,3,12,12,5,3,24,6,18,6,3,3,24,4,6,12,1,6,1,4,6,3,3,12,3,
6,2,6,2,3,6,1,3,1],[1,2,8,1,14,1,5,2,4,2,2,8,2,1,4,4,6,2,4,4,4,4,4,6,1,2,2,2,
8,5,4,8,6,6,2,4,1,4,2,2,2,2,1,1,4,1,2,2,2,1,3,4,2,2,2,4,4,1,2,2,2,2,2,2,2,8,2,
8,8,4,4,2,2,2,2,2,2,2,1,2,2,4,2,2,1,2,2,4,1,2,1,2,1,1,1,2,2,2,4,4,4,4,1,1,1,1,
1,1,1,1],[1,2,1,18,5,13,4,2,4,8,4,1,4,10,8,8,5,4,4,8,13,32,20,28,2,14,4,8,4,8,
2,8,4,2,4,1,4,4,2,8,4,8,12,2,4,8,2,1,1,2,12,4,8,6,12,2,4,2,20,2,10,4,4,2,8,4,
4,32,4,2,4,4,8,1,4,2,2,4,1,1,1,4,4,2,2,4,8,2,2,1,4,4,4,4,2,1,2,2,4,1,1,2,1],[
1,2,8,1,2,1,9,2,4,2,6,1,4,4,2,8,4,4,4,4,4,2,2,1,4,2,1,8,2,4,4,2,1,2,2,2,2,1,2,
1,2,1,2,2,1,4,1,3,2,2,2,2,2,4,2,2,2,8,4,4,2,2,2,1,1,2,1,2,2,2,2,1,2,2,4,1,2,1,
1,2,1,1,2,2,2,4,2,2,1,1,1,1,1,1,1,1],[1,2,1,2,5,5,4,2,4,1,4,2,4,2,6,5,2,1,8,6,
2,6,4,2,4,1,2,1,2,1,4,3,3,2,1,1,4,2,2,2,2,2,2,2,2,2,2,2,2,2,1,2,1,2,1,1,2,1,1,
4,1,1,1,1,1,1,1,1,1],[1,2,8,1,6,1,5,2,4,2,2,2,1,4,4,6,2,4,4,4,4,4,2,2,6,1,2,2,
1,4,4,6,4,2,1,2,2,2,2,1,2,1,2,1,2,2,2,3,1,2,2,1,2,2,2,2,2,4,4,2,4,4,2,2,2,2,2,
2,2,2,1,2,2,2,2,1,2,2,1,2,1,1,2,1,1,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,2,1,2,9,9,4,
2,4,1,4,2,4,9,1,8,8,24,6,6,4,2,4,1,4,2,1,1,2,2,4,8,6,2,2,2,1,3,2,7,3,4,2,6,2,
1,2,1,2,1,1,1,1,1,2,1,3,2,1,2,2,1,1,1,1,1,1,1,1,1],[1,2,1,2,5,13,4,2,4,1,4,2,
4,5,4,1,8,2,18,12,12,4,2,4,1,4,2,1,1,4,4,2,6,6,2,2,2,2,6,4,6,2,2,6,2,1,2,1,2,
1,2,2,2,1,3,2,1,2,2,1,1,2,1,1,1,1,1],[1,2,8,9,8,4,2,4,1,4,4,2,6,20,8,10,6,8,4,
2,4,2,4,1,1,1,2,2,4,6,2,10,6,1,3,2,1,5,8,4,2,2,2,1,2,1,1,2,1,1,1,1,2,4,4,2,2,
2,2,1,1,1,1,1,1,1,1],[1,2,8,5,12,4,2,4,1,4,4,2,6,12,8,2,16,14,4,2,4,2,4,1,1,1,
4,4,4,2,2,4,12,2,6,4,2,8,4,2,2,1,2,1,1,2,2,2,2,4,4,4,4,1,2,2,1,1,1],[1,2,8,5,
4,4,2,4,1,4,4,2,6,12,8,2,4,2,4,2,4,2,4,1,1,1,4,4,4,4,4,2,1,2,1,1,2,2,1,1,1,
1],[1,2,8,5,12,4,2,4,1,4,4,2,6,12,8,2,16,14,4,2,4,2,4,1,1,1,4,4,4,2,2,4,12,2,
6,4,8,2,4,2,2,1,2,1,1,2,2,2,2,4,4,4,4,1,2,2,1,1,1],[1,2,16,3,6,1,3,8,6,1,8,6,
8,8,8,8,8,1,6,8,3,3,3,6,2,6,4,4,4,2,4,3,4,6,4,1,3,4,8,8,4,8,8,4,8,8,1,3,4,6,6,
6,6,4,2,4,2,2,1,4,2,3,3,4,4,4,4,8,4,2,6,4,2,1,2,1,1,4,4,1],[1,2,16,1,6,1,5,8,
2,2,4,1,8,6,2,8,8,8,8,8,2,2,2,1,2,2,1,4,4,6,4,2,2,4,4,4,1,2,1,2,1,4,2,1,1,2,2,
2,2,2,1,1,4,2,2,4,4,4,4,4,4,8,8,8,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,4,1,2,1,1,2,1,
1,2,2,2,2,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,2,16,1,10,1,9,8,2,8,1,8,2,8,8,8,8,8,8,
4,1,4,4,8,5,4,8,4,4,2,2,4,4,4,4,2,4,1,4,4,2,2,4,2,1,1,4,4,4,4,16,4,16,8,8,16,
8,8,2,2,2,4,2,1,1,2,8,4,4,4,2,4,2,2,8,2,4,1,1,1,4,2,2,8,4,8,4,4,4,4,4,2,2,2,1,
2,1,1,4,4,1],[1,2,16,1,2,5,5,8,2,1,8,2,8,8,8,8,8,5,1,2,6,4,4,4,4,4,1,4,1,1,2,
2,4,4,4,8,8,2,4,2,2,2,2,1,2,2,1,4,4,1,3,2,2,2,1,2,1,2,1,2,4,4,4,4,4,4,2,1,2,1,
1,2,2,1,1,2,2,1,1,2,2,2,2,1],[1,2,16,1,2,1,9,8,2,1,8,2,8,8,8,8,8,1,4,1,4,2,6,
4,4,4,4,1,4,1,1,4,4,4,4,8,8,2,2,2,2,2,2,2,1,1,4,4,2,4,1,1,2,2,2,1,2,2,1,1,2,4,
4,4,4,4,4,1,2,2,1,2,1,1,2,1,2,2,1,1,2,2,2,2,1],[1,2,3,6,9,27,6,1,4,6,12,1,6,
27,27,3,24,6,24,8,72,2,6,48,2,3,12,6,12,1,3,2,6,12,12,9,3,24,24,72,6,6,6,3,3,
6,6,6,6,24,1,1,2,21,3,12,6,42,6,6,6,6,1,4,3,3,6,6,12,1,3,6,6,8,2,6,6,6,3,3,6,
21,3,12,6,6,3,6,3,3,6,3,6,6,6,6,1,2,3,3,6,1,1,2,3,6,3,1],[1,2,3,6,5,15,6,1,4,
6,12,1,6,15,15,3,24,6,24,2,18,4,12,12,2,3,12,6,12,1,3,12,12,5,3,24,6,18,12,12,
6,3,3,24,2,6,12,12,1,4,3,3,12,1,3,2,4,6,6,6,12,6,6,1,3,3,2,6,1],[1,2,3,6,5,15,
6,1,6,1,6,15,15,3,6,2,18,4,12,12,2,3,6,1,3,2,6,5,3,6,18,12,12,6,6,6,6,6,6,2,1,
6,6,3,3,3,12,12,1,9,3,3,1,3,3,6,6,1,3,6,3,3,2,4,6,6,6,6,3,6,6,3,12,3,9,3,6,3,
6,3,3,6,6,6,6,1,2,3,3,6,2,1,1,3,6,3,1],[1,2,3,6,1,3,6,1,6,1,6,3,3,3,6,2,6,2,3,
6,1,3,1,3,6,6,6,6,4,4,1,3,3,2,2,2,6,2,2,2,2,1,1,1,2,2,1],[1,2,1,10,9,17,2,4,1,
4,10,8,4,9,4,4,9,32,16,28,8,32,2,10,8,2,1,4,4,2,4,8,12,1,1,2,2,12,4,8,4,12,8,
4,2,4,20,10,4,4,10,2,4,4,32,1,1,2,7,5,12,2,4,4,2,4,2,4,1,2,4,2,2,8,1,1,2,2,4,
4,1,1,2,2,4,4,5,4,2,1,2,6,2,4,4,1,1,1,2,1,1,2,2,2,2,1],[1,2,1,10,5,21,2,4,1,4,
10,8,4,5,8,4,9,32,16,28,2,26,4,8,20,2,1,4,4,2,4,8,12,1,1,4,12,4,8,4,12,2,10,4,
2,20,10,4,4,8,6,6,32,2,2,4,4,8,6,6,6,4,2,2,4,1,2,4,2,2,8,1,2,1,2,4,4,2,1,1,2,
4,4,6,4,3,4,2,3,4,4,1,1,1,2,1,1,2,2,4,1],[1,2,1,2,5,5,2,1,2,5,4,1,4,2,6,4,4,2,
1,2,1,1,2,2,4,2,4,4,2,2,2,2,1,2,2,1,4,1,3,4,2,1,2,1,1,2,2,2,1,2,1,4,1,2,1,2,1,
1,1,2,2,1],[1,2,1,2,1,9,2,1,2,1,4,4,1,4,4,2,6,4,2,1,2,1,1,4,4,2,2,2,4,2,2,2,2,
1,1,4,4,4,2,1,1,2,1,2,2,2,1,1,1,2,2,1,4,2,2,1,1,1,1,1,2,2,1],[1,2,1,10,9,17,2,
8,1,4,2,4,4,9,4,8,5,24,4,16,8,36,2,10,12,4,1,4,2,4,1,1,2,2,6,4,2,8,8,6,2,4,2,
6,2,2,4,6,14,6,10,10,8,1,1,2,9,7,12,2,6,4,4,6,10,4,2,2,1,1,1,2,2,2,2,4,2,2,1,
3,2,2,4,2,2,2,2,6,2,1,1,2,1,3,4,2,2,8,2,2,5,6,1,3,6,3,6,2,6,2,4,4,4,2,2,8,4,8,
4,1,2,1,1,2,2,1,1,2,2,2,2,2,2,2,2,2,2,1],[1,2,1,10,5,5,2,8,1,4,2,4,4,5,8,5,8,
4,2,6,4,16,4,1,4,2,4,1,1,2,4,2,2,4,6,2,2,2,8,4,4,2,6,4,4,1,1,1,2,2,1,3,4,2,2,
4,2,2,1,1,1,2,1,1,1],[1,2,1,10,5,21,2,8,1,2,8,4,5,8,8,5,16,4,24,2,30,4,8,24,4,
1,4,2,4,2,1,1,2,6,4,2,8,2,12,4,2,2,4,3,3,6,4,6,14,10,10,8,2,1,4,2,6,7,12,5,5,
12,8,1,5,1,1,1,1,1,2,2,2,2,4,2,2,4,4,1,3,2,1,1,2,2,2,6,2,1,2,2,3,4,1,1,4,4,4,
4,4,2,4,2,4,8,4,8,1,6,5,6,3,3,2,6,2,6,1,2,2,1,1,2,2,2,2,2,2,2,2,1,4,1,1,1,1],[
1,2,1,10,1,9,2,8,1,2,8,4,1,4,8,5,4,8,4,2,2,4,4,1,4,2,4,2,1,1,4,2,2,2,2,1,1,2,
8,4,4,4,4,1,1,1,2,2,2,2,4,2,2,2,2,2,2,1,1,1,2,2,1],[1,2,1,2,5,5,2,1,2,8,5,1,2,
6,4,4,4,1,4,1,1,2,2,4,2,4,2,2,2,2,1,2,2,1,4,1,3,4,2,1,2,1,1,2,2,4,2,1,2,1,1,2,
1,2,1,1,1,2,2,1],[1,2,1,2,1,9,2,1,2,8,1,4,1,4,2,6,4,4,1,4,1,1,4,4,2,2,2,2,2,2,
2,1,1,4,4,4,2,1,1,2,1,2,2,2,1,1,4,1,2,2,1,2,2,1,1,1,1,1,2,2,1],[1,2,1,2,9,9,2,
8,1,4,2,4,9,1,8,8,24,2,10,4,1,4,4,4,1,1,2,2,4,8,2,4,2,2,2,1,1,2,7,5,4,2,2,4,2,
1,2,2,2,1,1,2,2,1,1,2,2,1,2,1,2,1,1,1,2,1,1,1],[1,2,1,2,5,13,2,8,1,4,2,4,5,4,
1,8,2,18,4,8,12,4,1,4,4,4,1,1,4,4,2,6,4,2,2,2,2,2,2,4,4,6,2,2,4,2,2,1,2,2,2,1,
2,1,2,2,1,1,2,2,1,2,1,1,1,1,2,1,1,1],[1,2,8,9,8,2,4,4,1,4,4,2,6,20,8,10,2,12,
4,2,4,1,4,2,1,1,2,2,4,6,2,10,2,4,1,1,2,1,7,8,4,2,2,2,1,2,1,2,1,1,1,2,2,4,2,2,
2,2,2,2,1,1,1,1,1,1,1,1],[1,2,8,5,12,2,4,4,1,4,4,2,6,12,8,2,16,4,10,4,2,4,1,4,
2,1,1,4,4,4,2,2,4,4,4,4,2,2,4,4,4,6,4,2,2,1,2,1,2,1,1,2,1,2,2,2,2,2,4,4,1,1,1,
1,1,1,1,1],[1,2,8,9,8,2,4,4,1,4,4,2,6,20,8,10,2,12,4,2,4,1,4,2,1,1,2,2,4,6,2,
10,2,4,1,1,2,1,7,8,4,2,2,2,1,2,1,2,1,1,1,2,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[
1,2,8,5,12,2,4,4,1,4,4,2,6,12,8,2,16,4,10,4,2,4,1,4,2,1,1,4,4,4,2,2,4,4,4,4,2,
2,4,4,4,6,4,2,2,1,2,1,2,1,1,2,1,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,2,8,1,8,2,4,
4,1,4,6,2,4,4,8,8,2,2,4,4,2,4,1,4,2,1,1,4,4,4,4,4,2,2,1,1,2,1,2,1,1,1,1],[1,8,
3,5,15,4,4,4,1,4,15,15,2,18,1,3,12,4,2,4,2,2,5,2,6,18,3,3,1,6,3,3,3,2,2,2,1,2,
2,2,2,2,2,1,1,3,6,3,1,1,1,1,1,1,1,1,1,1],[1,8,3,1,3,4,4,4,1,4,3,3,3,9,4,2,4,2,
2,1,2,9,9,2,1,9,2,3,3,2,1,2,2,2,2,2,3,1,1,1,3,9,1,1,1,1,1,1,1,1],[1,8,1,4,5,5,
4,4,4,2,4,5,2,2,2,6,1,7,4,2,4,2,2,1,2,2,1,3,2,2,4,2,2,1,4,2,1,4,2,2,2,1,1,2,1,
2,2,2,2,2,1,2,1,1,2,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,8,1,4,1,9,4,4,4,2,4,1,4,
2,2,4,3,5,4,4,2,4,2,2,1,2,2,3,1,2,2,4,2,2,2,1,1,4,4,2,1,3,2,2,1,2,2,2,2,2,1,2,
1,1,2,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,8,6,5,8,4,4,4,2,4,3,8,4,2,2,12,1,5,4,
2,4,2,2,4,4,2,1,2,1,1,2,4,2,4,2,1,2,2,2,3,2,2,2,1,2,1,2,1,2,2,2,2,2,1,2,1,2,2,
2,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,8,6,1,12,4,4,4,2,4,3,12,2,6,3,3,8,4,2,4,2,2,
4,4,2,1,3,3,6,6,3,2,3,6,2,1,2,1,2,1,2,2,2,2,2,1,3,6,1,3,3,1,1,1,1,1,1,1,1,1],[
1,8,6,5,8,4,4,4,2,4,3,8,4,2,2,12,1,5,4,2,4,2,2,4,4,2,1,2,1,1,2,4,2,2,4,1,2,2,
2,3,2,2,2,1,2,1,2,1,2,2,2,2,2,1,2,1,2,2,2,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,8,6,
1,12,4,4,4,2,4,3,12,2,6,3,3,8,4,2,4,2,2,4,4,2,1,3,3,6,6,3,2,3,6,2,1,2,1,2,1,2,
2,2,2,2,1,3,6,1,3,3,1,1,1,1,1,1,1,1,1],[1,8,3,1,3,2,2,6,4,6,3,10,4,2,1,2,1,3,
3,2,3,1,6,2,5,2,6,2,1,1,3,2,2,1,1,1,3,1,2,1,2,1,1,1],[1,7,15,9,2,2,15,27,9,8,
2,2,8,6,6,6,6,9,1,6,8,12,6,6,6,1,2,2,1,1,6,2,1,1,2,1,1],[1,7,3,9,12,2,2,3,9,
12,18,9,8,2,2,1,7,3,6,3,6,6,9,1,3,1,7,3,3,9,6,3,3,3,3,1,2,1,1,1,1,3,3,1,1,1,1,
1,1,1,1],[1,2,3,2,2,1,1,1,4,4,6,6,1,1,2,2,2,2,2,2,2,3,2,2,1,1,1,1],[1,2,1,6,2,
2,1,3,3,4,4,2,2,6,2,3,1,2,2,1,3,1,3,2,1,2,1,3,1,1,1,1],[1,2,9,18,1,9,2,2,18,1,
18,9,9,4,4,6,2,6,12,6,2,6,12,9,1,2,12,12,2,12,12,6,6,6,6,2,1,1,1,2,6,6,1,2,2,
1,1,1],[1,2,1,18,2,2,1,9,9,4,4,2,12,2,12,9,1,2,2,6,6,6,6,2,1,2,6,6,1,1,1,1],[
1,2,6,1,3,3,2,2,1,6,6,3,3,4,4,2,6,2,2,3,1,3,1,3,1,2,2,6,6,2,2,3,1,3,1,2,2,1,1,
1,3,1,1,2,2,1,1,1],[1,2,1,6,2,2,1,3,3,4,4,2,2,6,2,3,1,2,2,3,1,3,1,2,1,2,3,1,1,
1,1,1],[1,7,9,9,6,2,2,9,9,6,18,9,8,2,2,6,2,6,6,6,6,9,1,6,2,6,6,6,6,6,6,1,2,1,
1,2,6,2,1,1,2,1,1],[1,1,9,15,6,2,2,9,6,9,9,18,2,2,6,6,6,6,2,6,6,2,9,1,6,6,6,2,
6,6,6,6,1,1,2,1,2,6,1,2,1,1,2,1],[1,1,9,9,2,2,9,9,9,2,2,6,6,6,6,9,1,6,6,1,1,1,
1,1,1,1],[1,1,9,15,6,2,2,9,6,9,9,18,2,2,6,6,6,6,2,6,6,2,9,1,6,6,6,2,6,6,6,6,1,
1,2,1,2,6,1,2,1,1,2,1],[1,1,9,9,2,2,9,9,9,2,2,6,6,6,6,9,1,6,6,1,1,1,1,1,1,1],[
1,1,15,9,3,3,2,2,9,3,3,9,9,9,9,2,2,6,6,6,2,6,6,3,1,3,1,9,1,6,3,3,6,1,1,6,3,3,
3,3,3,3,1,2,1,1,1,1,3,3,1,1,1,1,1,1,1,1],[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],[1,12,9,1,9,2,2,18,6,18,9,12,4,6,2,6,6,2,6,9,1,12,6,12,2,6,6,
4,1,1,1,6,2,2,2,1,1],[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],[1,6,9,6,2,2,9,9,9,6,2,6,6,
6,2,9,1,6,6,2,1,2,1,1,1,1],[1,6,3,2,2,3,1,3,6,2,6,6,3,1,3,1,2,3,1,2,2,3,3,1,1,
1,1,1],[1,6,1,18,2,2,3,9,3,6,2,2,12,2,12,9,1,3,1,6,3,1,6,2,1,2,3,3,1,1,1,1],[
1,6,3,18,1,3,2,2,18,3,18,3,9,6,2,1,2,1,3,12,3,2,12,9,1,3,6,6,1,6,6,1,3,6,6,2,
1,1,2,1,3,3,1,2,2,1,1,1],[1,6,1,6,2,2,3,3,1,6,2,2,2,6,2,3,1,3,1,1,2,3,2,2,1,2,
3,1,1,1,1,1],[1,6,1,6,2,2,3,3,9,6,2,2,2,6,2,9,1,3,1,1,3,6,6,2,1,2,3,3,1,1,1,
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],[1,3,3,9,5,8,9,1,9,
12,1,3,3,3,4,3,1,3,1,2,4,3,1,1,1],[1,15,7,9,1,1,2,21,27,3,6,3,2,1,3,7,2,5,3,6,
6,9,1,3,6,6,3,1,7,3,9,6,1,2,2,1,1,3,3,2,1,1,2,1,1],[1,9,3,27,1,1,2,27,1,27,3,
3,9,3,6,3,9,6,18,9,1,9,1,9,1,2,9,9,18,18,1,3,3,3,3,6,3,1,3,1],[1,9,1,9,1,1,2,
9,3,3,3,1,3,1,2,3,3,6,6,9,1,3,1,3,1,3,3,6,1,1,1,3,3,1,1,1,1],[1,9,1,1,2,1,3,3,
2,3,9,6,3,1,1,1,1,1,2,3,3,2,3,1,3,1,1,1,1],[1,7,18,1,1,2,3,3,9,2,1,6,7,2,6,12,
9,1,1,3,3,1,3,3,6,2,1,2,3,3,1,1,1,1],[1,6,3,1,1,2,3,1,3,6,3,3,6,2,3,1,3,1,3,1,
2,1,1,2,3,3,1,1,1,1,1],[1,6,1,18,1,1,2,3,3,9,6,1,6,1,2,2,6,12,9,1,3,3,1,1,3,3,
6,2,1,2,3,3,1,1,1,1],[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],[
1,3,3,9,2,2,9,1,9,1,6,3,3,9,6,3,1,3,2,3,9,9,2,1,3,3,1,3,3,1,3,1],[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],[1,3,1,3,2,2,3,4,1,2,1,3,3,2,3,1,1,
5,1,3,2,1,1,1,1,3,1,1,1,1],[1,15,1,15,2,2,9,15,27,8,2,8,6,6,6,2,6,9,1,8,6,12,
6,6,6,2,1,1,1,2,6,2,1,2,1,1,1],[1,3,1,27,2,2,3,18,12,18,1,2,15,3,9,2,12,9,1,1,
6,7,3,3,6,12,6,1,1,2,3,3,3,1,2,1,1,2,1],[1,3,1,3,2,2,3,3,9,1,2,1,3,3,2,9,1,1,
3,1,3,6,6,1,1,1,3,3,1,1,1,1],[1,15,6,2,2,9,9,9,8,6,6,6,2,9,1,6,6,2,1,2,1,1,1,
1],[1,15,6,2,2,9,9,9,8,6,6,6,2,9,1,6,6,2,1,2,1,1,1,1],[1,15,6,2,2,9,9,9,8,6,6,
6,2,9,1,6,6,2,1,2,1,1,1,1],[1,9,1,9,2,2,9,9,9,6,2,6,6,2,6,9,1,6,6,1,1,1,1,1,1,
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],[1,9,12,1,9,2,2,18,9,
6,18,6,2,6,12,6,4,2,6,9,1,6,12,6,12,6,2,1,4,1,1,6,2,1,2,2,1],[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],[1,9,3,27,2,2,27,1,27,6,6,18,6,6,18,9,1,
18,2,18,18,2,18,1,3,3,6,6,3,1,3,1],[1,9,1,9,2,2,9,6,6,2,6,6,2,6,9,1,6,6,2,6,1,
1,1,6,1,2,1],[1,9,1,9,2,2,9,6,6,2,6,6,2,6,9,1,6,6,6,2,1,1,1,6,1,2,1],[1,9,1,9,
2,2,9,18,6,2,6,6,2,6,9,1,6,6,1,1,1,1,2,1],[1,9,1,9,6,6,2,2,9,9,9,6,18,6,2,6,6,
2,6,6,2,6,2,9,1,6,6,6,6,6,2,6,6,1,1,1,2,2,6,1,1,1,2,2,1],[1,9,1,9,2,2,9,18,6,
2,6,6,2,6,9,1,6,6,1,1,1,1,2,1],[1,9,1,21,2,2,9,18,6,18,6,2,10,12,6,2,6,9,1,6,
12,2,6,12,6,1,1,1,4,6,1,2,2,2,1],[1,9,1,9,2,2,9,1,9,6,2,6,6,2,6,9,1,6,2,6,6,6,
2,1,1,1,6,6,1,1,1,1],[1,9,1,9,12,2,2,9,18,6,18,6,2,6,6,2,6,12,4,9,1,6,6,12,6,
2,12,1,1,1,4,6,1,2,2,2,1],[1,9,1,9,2,2,9,18,6,2,6,6,2,6,9,1,6,6,1,1,1,1,2,1],[
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],[1,9,6,6,2,2,9,9,9,6,2,6,
6,6,2,9,1,6,6,1,2,2,1,1,1,1],[1,6,3,2,2,3,1,3,6,6,2,6,3,1,2,3,1,2,3,1,2,3,3,1,
1,1,1,1],[1,6,1,18,2,2,3,9,3,2,12,6,2,2,12,9,1,6,3,1,6,3,1,2,1,2,3,3,1,1,1,
1],[1,24,1,3,3,2,2,12,18,18,3,2,12,6,2,2,12,3,1,3,1,9,1,6,3,6,6,1,6,6,6,3,1,2,
1,2,1,1,3,3,1,2,2,1,1,1],[1,6,1,6,2,2,3,9,3,2,6,2,2,6,2,9,1,6,3,1,6,3,1,2,1,2,
3,3,1,1,1,1],[1,6,1,6,2,2,3,1,3,2,6,2,2,6,2,3,1,2,3,1,3,1,2,2,1,2,3,1,1,1,1,
1],[1,6,15,2,2,9,9,9,8,6,6,2,6,9,1,6,6,2,1,2,1,1,1,1],[1,18,3,2,2,9,1,9,6,12,
6,12,9,1,2,6,6,2,6,6,3,2,6,6,1,1,1,1],[1,3,3,9,2,2,1,9,9,6,6,3,1,9,3,3,1,2,2,
9,3,9,3,3,1,3,3,1,1,3,3,1],[1,18,1,18,2,2,9,9,1,2,12,12,2,12,12,9,1,6,2,6,6,6,
2,1,2,2,6,6,1,1,1,1],[1,1,18,3,9,2,2,9,3,3,18,18,2,12,2,12,3,1,9,3,9,1,6,6,3,
1,3,1,6,6,12,1,2,1,3,3,3,1,1,1,2,2,1],[1,18,1,6,2,2,9,3,3,2,2,12,6,2,12,9,1,1,
3,1,6,3,6,1,2,2,3,3,1,1,1,1],[1,18,1,6,2,2,9,3,3,2,12,2,12,6,2,9,1,6,3,1,6,3,
1,1,2,2,3,3,1,1,1,1],[1,1,3,3,2,2,1,3,3,2,2,3,1,3,1,3,1,2,3,1,3,1,2,1,1,1,3,1,
1,1,1,1],[1,1,3,3,2,2,12,3,2,2,3,1,3,1,9,1,6,3,1,3,1,6,1,1,1,3,3,1,1,1,1],[1,
18,3,1,4,8,9,1,9,6,3,12,24,9,4,3,1,3,1,2,4,3,3,6,1,1],[1,6,3,1,4,8,3,1,3,6,3,
4,3,4,3,1,3,1,2,4,3,1,1,1],[1,1,3,3,1,4,8,3,1,3,3,1,3,4,8,1,4,1,3,3,1,2,4,1,1,
2,1,1],[1,18,3,1,4,8,9,1,9,3,6,12,24,9,4,1,3,3,1,2,4,3,3,6,1,1],[1,6,3,1,4,8,
3,1,3,6,3,4,3,4,3,1,3,1,2,4,3,1,1,1],[1,18,3,1,4,8,9,1,9,3,6,12,24,9,4,1,3,3,
1,2,4,3,3,6,1,1],[1,3,1,3,5,8,1,3,3,5,3,3,8,1,4,3,1,3,1,2,4,1,1,2,1,1],[1,21,
5,8,1,9,9,18,3,24,9,4,3,1,3,1,2,4,3,3,6,1,1],[1,6,3,5,8,3,1,3,6,4,3,3,4,3,1,3,
1,2,4,3,1,1,1],[1,3,18,5,8,1,9,9,18,3,24,9,4,3,1,3,1,2,4,3,3,6,1,1],[1,6,3,1,
4,8,3,1,3,6,3,4,3,4,3,1,3,1,2,4,3,1,1,1],[1,6,3,1,4,8,3,1,3,6,3,4,3,4,3,1,3,1,
2,4,3,1,1,1],[1,18,3,4,1,8,9,1,9,12,3,6,24,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,9,4,
1,8,1,3,3,4,9,3,4,1,1,2,3,3,4,1,3,1,1],[1,3,3,9,4,1,8,9,1,9,12,3,1,3,3,4,1,1,
2,3,3,4,3,1,1,1],[1,4,3,4,1,8,1,3,3,4,4,8,3,1,4,1,1,2,3,3,4,1,1,2,1,1],[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],[1,3,3,9,4,1,8,9,1,9,12,3,
1,3,3,4,1,1,2,3,3,4,3,1,1,1],[1,9,1,8,4,1,3,3,9,4,3,4,1,1,2,3,3,4,3,1,1,1],[1,
9,3,3,1,8,4,9,9,1,3,3,1,12,3,4,3,1,3,2,1,4,3,1,1,1],[1,9,1,8,4,3,1,3,9,4,3,4,
3,1,3,2,1,4,3,1,1,1],[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],[1,6,1,1,8,4,4,3,6,1,8,4,1,4,4,3,2,1,4,1,2,1,1,1],[1,3,3,9,1,8,4,9,1,9,12,
3,1,3,3,4,1,3,3,2,1,4,3,1,1,1],[1,3,18,1,8,4,1,9,9,3,6,24,12,9,4,1,3,3,2,1,4,
3,6,3,1,1],[1,3,6,1,8,4,1,3,3,3,6,4,3,4,1,3,3,2,1,4,3,1,1,1],[1,3,3,21,4,1,2,
1,9,12,9,3,18,3,3,1,7,4,3,6,6,2,1,3,3,1,1,9,1,3,3,3,3,3,3,4,6,3,3,6,1,3,1,1,1,
1,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,6,3,1,8,4,3,1,3,6,3,4,3,4,3,1,3,1,2,4,3,1,1,
1],[1,7,1,8,4,7,7,8,4,1,4,7,1,2,4,1,1,2,1,1],[1,9,1,8,4,4,3,9,4,3,4,4,3,1,2,4,
3,1,1,1],[1,1,1,8,4,3,1,8,4,1,4,3,4,1,1,1,1,1],[1,3,3,9,4,8,1,9,1,9,12,1,3,3,
3,4,3,1,3,1,2,4,3,1,1,1],[1,6,3,4,8,1,3,1,3,4,6,3,3,4,3,1,3,1,2,4,3,1,1,1],[1,
18,3,4,8,1,9,1,9,12,24,6,3,9,4,3,1,3,1,2,4,3,3,6,1,1],[1,6,3,4,8,1,3,1,3,6,4,
3,3,4,3,1,3,1,2,4,3,1,1,1],[1,18,3,4,8,1,9,1,9,12,24,3,6,9,4,1,3,3,1,2,4,3,3,
6,1,1],[1,3,1,3,4,8,1,1,3,3,4,8,3,1,3,1,4,1,3,3,1,2,4,1,1,2,1,1],[1,3,3,9,4,8,
1,1,9,9,12,3,1,3,3,4,1,3,3,1,2,4,1,3,1,1],[1,6,3,8,4,1,3,1,3,6,4,3,3,4,3,1,3,
2,1,4,3,1,1,1],[1,18,3,8,4,1,9,1,9,24,12,3,6,9,4,1,3,3,2,1,4,3,6,3,1,1],[1,3,
3,9,8,4,1,1,9,9,12,3,1,3,3,4,1,3,3,2,1,4,1,3,1,1],[1,2,5,10,3,15,10,1,10,15,5,
1,15,1,5,1,5,1,5,5,5,5,5,2,1,3,3,2,5,1,2,2,3,1,3,1,1,1,1,1,1,1,1,1,1,1],[1,2,
5,10,1,5,10,1,10,10,5,5,5,5,1,10,5,10,5,5,2,1,1,1,2,5,1,2,2,2,1,1,1,1,1,2,2,1,
1,1],[1,2,5,10,1,5,10,1,10,5,10,5,10,1,5,5,5,2,1,1,1,2,5,1,2,2,1,2,1,2,1,1,1,
1],[1,5,3,15,10,15,1,15,10,1,5,5,5,1,3,3,5,2,3,1,3,2,1,1,1,1],[1,5,1,5,10,5,
10,1,5,1,5,5,5,1,1,1,5,2,1,2,1,1,1,1,1,1],[1,5,3,15,5,15,15,1,15,1,15,5,15,1,
3,3,5,3,1,3,1,3,1,3,3,1],[1,5,1,5,5,5,5,1,5,10,1,5,5,5,1,1,1,5,1,1,1,1,1,2,1,
1,1,1],[1,3,4,1,1,1,3,4,1,1],[1,3,28,1,1,7,3,4,1,1],[1,3,7,1,21,1,7,3,1,1,3,
1],[1,14,1,7,7,14,7,1,7,1,2,1,1,1,2,1],[1,1,7,7,7,1,7,1,1,1,1,1],[1,9,1,1,2,1,
3,3,6,1,9,1,1,2,1,3,3,6,1,1],[1,5,1,1,2,1,5,5,10,1,1,1,1,2,5,1,1,2,1,1],[1,45,
1,1,2,1,15,15,30,1,9,1,1,2,5,3,3,6,1,1],[1,4,3,3,9,1,2,2,2,1,2,9,9,1,9,2,6,2,
4,3,3,9,2,1,2,2,2,4,3,1,3,9,1,1,2,2,2,1,2,9,9,1,9,2,6,2,1,1,1,1,1,1,1,2,1,2,2,
2,4,3,1,3,9,1,1,1,1,1,1,1,1,1,1,1],[1,10,9,18,1,9,1,14,30,5,14,30,1,2,3,3,18,
9,3,9,3,9,18,4,2,2,1,2,3,6,3,2,6,6,7,2,18,6,6,6,15,18,6,3,1,3,6,1,6,3,3,3,3,9,
2,4,2,4,4,2,4,1,6,6,2,1,2,3,3,1,1,6,3,1,1,2,6,6,1,6,3,6,3,6,3,3,3,3,2,1,2,2,2,
2,2,2,4,2,3,2,6,2,2,1,1,2,1,1,3,1,1,1,2,1,3,1,2,2,1,1,2,2,1,1,1,1,1],[1,4,3,1,
15,1,2,2,2,1,2,3,3,6,6,6,3,9,6,4,1,4,3,3,2,1,2,6,6,1,6,1,3,9,3,9,6,2,2,2,2,1,
3,3,2,2,1,3,2,2,1,3,3,3,3,3,3,2,1,2,2,2,1,3,1,3,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,
2,6,6,9,4,1,6,6,2,1,6,9,3,18,3,6,6,8,12,1,3,3,2,6,6,3,3,3,3,9,3,6,4,4,4,1,3,1,
3,1,3,1,3,4,2,3,1,1,1,1,1],[1,6,9,14,1,9,4,6,18,3,6,18,3,6,1,3,18,9,9,3,3,7,
18,8,4,8,4,4,6,2,6,3,6,6,6,6,6,9,18,6,3,3,3,6,3,6,1,3,3,3,9,1,8,4,8,4,4,6,3,6,
1,6,3,6,3,3,3,3,2,1,2,1,1,4,3,2,1,2,1,1,1],[1,4,12,16,7,4,6,24,16,3,3,4,6,18,
9,12,9,3,18,4,4,4,4,4,4,4,3,4,6,12,3,6,6,4,18,6,6,3,3,6,3,3,1,6,6,6,3,9,4,4,4,
1,4,4,4,4,6,3,1,6,3,3,3,6,6,3,3,1,1,4,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,4,9,16,
3,7,4,3,18,3,6,16,3,3,1,3,18,3,3,3,3,9,9,9,18,4,4,4,4,4,4,4,3,1,3,3,3,3,3,6,3,
3,1,3,9,3,18,3,3,3,3,3,3,3,3,3,3,1,3,3,3,3,3,9,3,4,4,4,1,4,4,4,4,3,3,3,1,3,3,
3,3,3,3,3,3,3,3,3,1,1,4,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,6,3,2,3,9,4,6,6,3,6,6,
1,9,9,1,1,9,3,1,6,8,12,2,3,6,3,3,6,3,3,3,9,3,3,1,3,1,4,4,4,1,3,3,3,3,1,1,2,3,
4,1,1,1,1,1],[1,6,3,2,1,15,4,6,6,3,6,6,1,3,6,3,6,1,6,6,6,6,8,4,8,2,3,6,3,6,12,
1,6,3,3,3,3,6,6,1,4,4,4,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,8,6,8,1,6,1,1,4,
12,24,4,12,24,8,8,4,6,12,3,12,6,4,12,1,3,8,8,4,4,4,8,6,24,12,12,12,8,12,24,4,
12,4,1,4,3,6,3,4,8,8,1,4,4,4,2,8,6,6,4,1,2,2,4,1,1,1,1,1,2,2,1,1,1],[1,6,3,14,
1,3,6,6,4,6,6,3,6,6,12,12,1,3,6,3,3,3,3,6,3,7,6,12,12,6,6,8,4,8,4,4,2,6,3,6,6,
6,6,3,6,6,6,6,6,12,1,6,3,3,3,3,3,6,3,3,3,6,1,4,8,8,4,4,1,6,6,3,6,3,6,3,3,3,3,
2,1,2,1,1,4,3,1,2,2,1,1,1],[1,6,3,2,1,9,2,4,6,6,3,6,6,1,3,9,6,1,3,1,3,1,6,6,8,
4,8,2,3,6,3,3,6,3,1,2,3,3,3,3,6,3,1,1,4,4,4,1,3,3,3,3,1,1,2,1,2,4,1,1,1,1,1],[
1,6,3,2,1,3,12,4,6,6,3,6,6,1,3,3,6,6,1,6,6,6,6,8,4,8,2,3,6,3,6,12,1,6,3,3,3,3,
6,6,1,4,4,4,1,3,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,4,6,16,6,1,6,4,6,12,12,4,12,3,
4,6,3,6,3,12,3,6,3,12,6,12,6,4,4,4,4,4,4,4,4,3,6,6,6,3,6,6,4,6,6,12,6,3,3,6,1,
6,6,3,6,3,3,3,6,4,4,4,1,4,4,4,4,6,1,6,3,3,3,3,6,6,3,3,1,1,4,1,1,1,1,1,3,1,1,1,
1,1,1,1,1],[1,4,3,16,9,6,1,4,3,6,3,18,12,4,3,1,3,6,3,3,3,3,3,3,3,12,12,9,6,6,
6,4,4,4,4,4,4,4,1,3,3,3,3,3,3,3,6,3,1,6,3,3,3,3,6,12,3,3,3,3,3,3,3,1,3,3,3,3,
3,3,3,3,3,6,4,4,4,1,4,4,4,4,3,3,1,3,3,3,3,3,3,3,3,3,3,3,3,1,1,4,1,1,1,1,1,3,1,
1,1,1,1,1,1,1],[1,10,7,6,3,21,1,14,18,5,14,18,3,21,27,3,1,21,5,3,18,4,2,2,3,6,
1,2,3,6,7,18,9,5,14,9,9,7,27,7,9,3,9,2,4,2,4,4,2,4,1,2,2,6,1,6,1,6,2,1,3,1,3,
1,3,6,3,7,9,9,9,3,3,1,2,2,2,4,2,2,2,2,2,1,2,1,1,2,2,3,6,2,1,1,3,2,1,1,1,3,1,1,
1,2,2,2,2,1,1,1,1,1],[1,4,1,12,3,3,1,2,2,2,3,6,3,9,6,6,1,3,2,6,4,3,1,4,3,6,1,
6,2,2,9,3,1,3,9,1,6,6,2,2,2,1,2,3,2,3,2,2,3,1,2,3,1,3,3,3,3,3,1,2,2,2,2,1,2,1,
1,3,1,3,2,3,1,1,1,1,1,1,1,1],[1,10,7,6,1,11,1,14,18,5,14,18,3,7,2,9,6,3,2,6,2,
2,4,2,2,1,2,1,2,5,6,7,18,9,6,4,3,6,1,1,3,3,6,6,2,4,2,4,4,2,4,1,2,2,2,1,2,1,1,
2,2,1,2,2,2,2,3,1,3,3,3,3,3,1,2,2,2,4,2,4,1,2,1,2,1,1,1,1,2,2,3,1,1,1,1,1,1,1,
1],[1,4,1,12,1,17,1,2,2,2,3,6,1,2,6,3,6,6,8,3,3,2,2,6,4,1,4,1,4,5,6,1,6,6,6,4,
3,6,3,1,1,3,3,6,6,6,12,2,2,2,2,1,1,2,2,1,2,2,2,2,1,1,2,2,2,3,1,3,3,3,3,3,1,2,
2,2,2,4,1,1,2,1,1,1,1,2,2,2,4,3,1,1,1,1,1,1,1,1],[1,4,4,12,1,4,3,3,4,2,12,2,2,
12,12,12,1,12,4,3,3,6,3,6,3,6,12,12,6,12,3,3,6,16,4,4,4,1,6,6,4,6,12,12,6,12,
6,6,24,1,1,1,6,6,6,3,3,3,3,3,6,6,6,8,8,8,4,1,3,2,6,2,2,6,6,1,3,4,4,1,1,1,1,2,
2,2,1,1],[1,2,4,6,2,3,6,4,1,6,6,1,1,6,1,3,3,3,3,6,9,6,6,6,8,4,8,1,3,3,2,6,1,2,
3,3,3,3,3,3,3,6,6,4,4,4,1,3,1,3,1,1,3,3,4,2,1,2,1,1,1,1,1],[1,8,16,12,3,4,16,
36,12,1,3,12,6,6,9,18,3,3,6,8,4,8,4,4,3,12,6,18,3,2,6,12,6,6,6,1,3,6,3,3,3,6,
6,6,3,3,4,8,8,4,4,1,6,3,3,6,3,1,3,6,6,3,3,4,2,1,2,1,1,3,1,2,2,1,1,1],[1,2,4,
18,3,4,1,6,6,1,6,12,3,9,3,6,12,6,8,4,8,6,3,2,6,1,6,6,3,6,3,3,6,12,4,4,4,1,3,1,
3,3,3,3,3,4,2,1,2,3,1,1,1,1],[1,8,4,12,12,3,4,4,12,12,24,12,1,3,6,12,6,3,6,3,
3,6,12,6,8,4,8,4,4,3,12,6,6,3,2,6,6,12,6,12,6,1,3,6,3,3,3,6,6,3,6,3,4,8,8,4,4,
1,6,3,3,6,3,1,3,6,6,3,3,4,2,1,2,1,1,3,1,2,2,1,1,1],[1,2,4,18,3,4,1,6,6,1,12,6,
3,9,3,6,12,6,8,4,8,6,3,2,6,1,6,6,6,3,3,3,6,12,4,4,4,1,3,1,3,3,3,3,3,4,2,1,2,3,
1,1,1,1],[1,14,9,6,1,9,4,18,18,7,18,18,1,6,3,3,6,9,3,9,3,3,6,8,8,4,4,4,6,6,6,
9,6,18,6,2,6,9,6,6,3,1,3,6,3,6,3,3,3,3,3,8,4,8,4,4,1,6,3,6,3,6,3,6,1,3,3,3,4,
2,2,1,1,1,3,2,1,2,1,1,1],[1,8,9,12,7,3,4,9,18,7,18,12,1,3,3,3,6,9,3,9,3,9,3,9,
6,8,4,4,4,4,4,3,3,3,9,3,9,3,2,3,3,3,3,9,9,6,3,3,3,3,1,3,3,3,3,3,3,3,3,3,3,3,3,
3,4,4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,1,3,3,3,3,3,3,4,2,1,1,1,1,1,3,1,1,1,1,1,1,1,
1],[1,2,3,6,3,9,4,6,1,6,1,6,9,9,3,6,1,9,1,3,6,8,12,2,3,6,1,3,3,3,3,9,3,3,3,3,
6,4,4,4,1,1,3,3,1,1,3,3,4,2,3,1,1,1,1,1],[1,2,3,6,1,15,4,6,1,6,1,6,3,3,6,6,3,
6,6,6,6,6,8,4,8,2,3,6,6,1,6,3,3,3,3,3,6,6,12,4,4,4,1,1,3,3,3,3,3,3,4,2,1,2,3,
1,1,1,1],[1,2,9,18,1,9,4,18,1,18,1,3,3,6,9,3,9,3,18,6,9,6,18,8,4,4,4,8,2,9,6,
6,6,18,6,3,1,3,6,3,3,6,3,3,6,3,6,6,9,3,6,4,8,8,4,4,1,1,6,6,3,3,6,6,3,3,3,3,4,
2,1,1,1,2,3,1,2,2,1,1,1],[1,2,3,6,1,5,6,4,6,1,6,1,6,3,3,6,6,3,6,1,1,3,3,6,6,8,
4,8,2,3,6,1,3,1,2,3,3,3,3,3,6,3,6,3,4,4,4,1,1,3,3,1,1,3,3,4,2,1,2,1,1,1,1,1],[
1,2,3,6,1,15,4,6,1,6,1,6,3,3,6,6,3,6,6,6,6,6,8,4,8,2,3,6,6,1,6,3,3,3,3,3,6,6,
12,4,4,4,1,1,3,3,3,3,3,3,4,2,1,2,3,1,1,1,1],[1,2,3,6,3,9,4,6,1,6,1,6,9,9,3,6,
1,1,9,3,6,8,12,2,3,6,1,3,3,3,3,9,3,3,3,3,3,3,4,4,4,1,1,3,3,1,1,3,3,4,2,3,1,1,
1,1,1],[1,2,3,6,3,9,4,6,1,6,1,9,9,6,3,6,1,9,1,3,6,8,12,3,2,6,1,3,3,3,9,3,3,3,
3,3,6,4,1,4,4,3,1,3,1,1,3,3,2,4,3,1,1,1,1,1],[1,2,3,6,1,9,2,4,6,1,6,1,3,9,6,6,
3,6,3,3,1,1,6,6,8,4,8,3,2,6,3,1,1,2,3,3,3,3,3,6,6,3,3,4,1,4,4,3,1,3,1,1,3,3,2,
4,1,2,1,1,1,1,1],[1,2,9,18,1,9,4,18,1,18,3,1,3,18,9,9,3,3,6,6,9,18,6,8,4,4,4,
8,6,9,18,2,6,6,6,3,3,3,6,1,3,6,3,3,6,9,6,6,3,3,6,4,8,8,1,4,4,3,6,6,1,3,6,6,3,
3,3,3,2,4,1,1,1,2,3,1,2,2,1,1,1],[1,2,3,18,1,3,6,6,4,6,1,6,12,12,6,1,3,6,3,3,
3,6,3,3,9,6,12,6,12,6,6,8,8,4,4,4,6,3,6,2,6,6,6,6,12,6,3,6,6,6,1,3,3,3,6,3,3,
6,3,3,3,6,4,8,8,1,4,4,3,6,6,1,3,6,6,3,3,3,3,2,4,2,1,1,1,3,1,2,2,1,1,1],[1,2,3,
6,1,15,4,6,1,6,1,3,6,3,6,6,3,6,6,6,6,6,8,4,8,3,2,6,6,1,6,3,3,3,3,3,6,6,12,4,1,
4,4,3,1,3,3,3,3,3,2,4,1,2,3,1,1,1,1],[1,2,3,6,1,3,12,4,6,1,6,1,3,3,6,6,6,3,6,
6,6,6,6,8,4,8,3,2,6,6,1,6,3,3,3,3,3,6,6,12,4,1,4,4,3,1,3,3,3,3,3,2,4,1,2,3,1,
1,1,1],[1,2,3,14,3,9,4,12,1,6,1,6,8,8,6,9,3,9,7,6,12,12,1,9,1,7,12,12,18,18,2,
2,1,2,3,3,2,1,1,3,3,3,6,6,1,3,4,4,12,3,3,3,3,9,9,7,3,6,6,12,4,4,18,4,6,1,2,2,
2,2,2,2,2,1,2,2,2,3,1,3,1,2,2,1,3,1,1,1,3,3,1,3,3,1,3,3,6,3,3,3,4,6,3,3,3,3,6,
6,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1,3,1,3,1,1,1,1,1,1,1,1,1,3,3,1,1,1,1,1,
1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,6,3,18,3,9,1,18,3,18,1,18,9,9,9,18,1,
9,3,9,6,2,3,3,6,9,6,9,18,3,9,3,9,3,9,9,9,9,9,18,1,6,6,1,1,9,3,9,3,1,6,9,6,6,3,
9,9,1,3,9,9,1,3,3,2,6,3,3,3,3,3,3,9,3,6,3,3,1,3,1,3,1,3,1],[1,6,1,6,3,3,1,6,3,
6,2,3,3,9,3,1,3,3,3,2,2,3,1,2,3,6,3,6,3,3,1,9,1,1,9,3,3,3,1,2,2,1,1,3,1,3,1,3,
1,2,2,3,3,3,1,3,3,3,1,1,1,2,2,1,1,1,1,3,3,1,1,3,1,1,1,1,1,1,1,1],[1,6,3,18,1,
15,1,18,3,18,1,18,3,3,6,6,9,18,6,2,2,6,2,1,4,3,6,3,6,9,18,6,1,6,9,1,3,3,1,6,6,
12,1,6,6,2,2,3,3,2,2,1,6,3,2,6,2,3,3,3,1,3,3,3,2,3,2,6,1,2,1,1,3,1,1,2,2,4,3,
1,1,1,1,1,1,1,1],[1,6,1,6,1,17,1,6,3,6,2,3,1,2,6,3,3,8,2,6,2,6,2,1,4,1,2,5,6,
3,6,6,6,1,3,6,1,3,3,1,6,6,6,1,2,2,2,2,1,1,2,2,2,2,2,1,1,2,2,3,3,3,1,3,3,3,2,1,
2,2,2,1,2,1,1,1,1,1,2,2,2,3,1,1,1,1,1,1,1,1],[1,9,3,27,1,1,3,3,27,9,27,9,1,27,
6,18,2,3,6,3,9,3,3,9,9,9,9,9,9,9,27,9,18,6,1,6,1,6,9,9,3,6,1,9,3,1,6,9,1,9,3,
9,3,9,2,3,6,1,3,3,3,3,3,9,3,3,3,6,3,1,3,3,1,1,3,3,1],[1,7,12,3,21,1,2,3,6,21,
27,6,6,1,21,6,2,18,2,3,6,1,4,3,6,1,6,9,3,7,1,27,3,6,6,12,6,1,6,1,6,3,2,3,2,3,
6,2,2,2,2,3,1,3,3,3,3,3,2,3,6,2,1,2,3,1,1,1,1,2,2,4,3,1,1,1,1,1,1,1,1],[1,9,1,
9,1,1,3,3,9,3,9,3,5,9,2,2,1,2,3,3,3,1,3,3,3,3,3,1,9,7,15,2,1,2,2,1,3,3,1,1,3,
1,1,2,3,1,3,3,3,3,3,2,1,2,1,1,1,3,1,1,3,1,1,1,3,1,1,1,1,1,1,1,1],[1,7,12,1,11,
1,2,3,6,7,2,9,6,6,6,2,5,3,2,2,1,2,1,4,5,6,1,6,3,6,3,1,3,7,9,6,6,6,2,1,2,2,1,1,
2,2,1,1,2,2,2,2,2,2,3,1,3,3,3,3,3,2,1,2,2,2,1,1,2,1,1,1,1,2,2,2,3,1,1,1,1,1,1,
1,1],[1,12,3,3,9,4,6,6,6,1,6,9,9,1,9,6,6,6,8,12,6,3,6,6,6,12,3,3,3,9,3,3,4,4,
4,1,3,3,3,1,3,3,3,4,2,3,3,1,1,1,1],[1,12,3,1,15,4,6,6,6,1,6,3,3,6,6,6,1,3,6,8,
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,
4,12,1,4,3,3,4,6,12,6,6,12,12,12,1,6,4,3,3,6,3,6,6,3,6,6,3,3,6,8,4,4,8,4,6,3,
6,6,6,6,6,6,6,6,6,1,1,6,1,3,6,6,6,6,3,3,3,3,3,6,3,4,8,8,4,4,1,3,6,6,3,3,6,6,1,
3,3,3,4,2,1,1,2,1,3,1,2,2,1,1,1],[1,12,3,1,5,6,4,6,6,6,1,6,3,3,6,6,1,6,3,6,6,
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],[1,6,6,18,9,4,3,18,18,2,3,18,9,9,18,9,18,6,4,12,12,3,9,9,6,18,6,9,9,9,9,9,
9,18,12,4,12,1,9,3,9,1,9,3,9,4,1,3,3,3,3,1,3,1],[1,6,4,6,3,4,3,6,6,1,4,6,3,3,
3,6,6,4,4,4,3,3,3,6,6,1,3,6,3,3,3,3,4,4,4,1,3,3,3,3,1,3,3,4,1,1,1,3,1,1,1,1],[
1,6,4,18,2,3,6,4,3,6,12,6,12,1,3,6,1,3,9,3,9,6,9,12,6,12,6,6,4,4,12,8,3,3,3,6,
6,6,6,12,1,9,2,3,3,6,6,3,3,3,3,6,6,12,6,6,4,8,4,4,8,1,3,6,3,3,6,3,1,6,3,3,6,4,
1,1,3,2,3,1,2,1,1,2,1],[1,6,4,6,3,4,3,6,6,1,4,6,3,3,3,6,6,4,4,4,3,3,3,6,6,1,3,
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],[1,9,3,27,4,1,3,3,27,9,27,
9,1,27,6,18,4,12,12,3,3,9,9,9,9,9,9,9,27,9,18,12,4,12,1,9,1,9,3,9,3,9,4,1,3,3,
3,3,1,3,1],[1,9,1,9,4,1,3,3,9,3,9,3,7,3,6,4,4,4,3,1,3,3,3,3,3,3,3,9,9,4,4,4,1,
3,3,1,3,3,3,3,4,1,1,1,3,1,1,1,1],[1,16,1,16,3,3,4,1,12,6,16,3,36,6,9,3,18,3,3,
9,6,8,4,8,4,4,6,1,6,1,1,12,6,3,6,12,6,6,6,3,6,6,9,3,3,3,9,6,3,8,4,8,4,4,1,6,3,
6,1,3,3,6,3,6,3,3,4,2,1,2,1,1,3,2,1,2,1,1,1],[1,9,1,23,6,4,1,3,3,9,3,27,9,18,
6,7,3,18,18,6,4,4,12,8,3,1,9,2,3,3,6,6,3,3,6,6,9,3,9,3,6,6,18,12,6,4,8,4,4,8,
1,3,6,3,1,6,3,3,6,3,3,6,4,1,1,3,2,3,1,2,1,1,2,1],[1,9,1,9,4,1,3,3,9,3,9,3,1,9,
6,4,4,4,3,1,3,3,3,3,3,3,9,9,3,4,4,4,1,3,1,3,3,3,3,3,4,1,1,1,3,1,1,1,1],[1,18,
9,4,2,12,12,15,18,6,6,8,12,12,6,3,12,6,9,3,12,4,4,4,1,6,1,6,3,3,4,2,3,3,1,1,1,
1],[1,16,12,3,4,1,1,12,6,6,9,6,3,9,6,8,4,8,6,1,6,6,3,3,6,6,3,3,6,6,4,4,4,1,3,
3,1,3,3,3,3,4,2,1,2,3,1,1,1,1],[1,16,2,3,6,4,1,12,6,1,6,9,3,6,9,6,6,6,8,4,8,6,
1,2,6,3,6,6,3,3,3,3,3,12,6,4,4,4,1,3,1,3,3,3,3,3,4,2,1,2,3,1,1,1,1],[1,4,3,12,
3,9,4,1,12,9,3,3,18,9,1,12,9,9,6,9,18,18,18,12,4,12,3,1,3,4,9,9,9,18,9,9,9,18,
6,3,9,18,18,4,12,12,1,1,3,3,3,3,9,9,4,3,1,3,1,1,3,3,1],[1,3,12,3,9,4,1,9,9,6,
6,6,6,1,9,6,6,6,12,8,3,6,3,9,3,3,3,3,6,6,6,12,4,4,4,1,1,3,3,3,3,3,3,4,3,2,3,1,
1,1,1],[1,4,1,4,3,3,4,1,4,3,3,3,6,3,6,6,3,6,3,6,6,4,4,4,1,1,1,3,3,6,3,3,3,3,3,
3,6,6,6,4,4,4,1,3,1,3,3,3,3,3,4,1,1,1,3,1,1,1,1],[1,3,12,1,5,6,4,1,3,3,6,6,6,
6,6,6,1,6,3,6,6,6,4,8,8,1,6,2,3,3,3,3,3,3,6,6,6,6,12,4,4,4,1,3,3,1,3,3,3,3,4,
1,2,2,3,1,1,1,1],[1,4,1,28,3,3,4,1,4,3,24,12,3,3,6,3,12,3,24,15,6,12,4,16,4,4,
1,12,1,1,12,6,3,3,12,3,3,6,12,12,12,6,6,6,6,8,4,8,8,1,6,1,6,6,3,6,3,6,6,4,1,4,
1,1,3,2,1,2,2,1],[1,3,12,1,15,4,1,3,3,6,6,6,6,6,6,6,1,3,6,4,8,8,1,6,6,3,3,3,3,
3,3,6,6,6,6,4,4,4,1,3,1,3,3,3,3,3,4,1,2,2,3,1,1,1,1],[1,4,1,4,3,3,4,1,4,3,3,3,
6,3,2,6,3,3,6,4,4,4,1,1,1,6,1,6,3,3,3,3,3,6,6,8,4,1,2,1,3,6,3,4,1,1,1,1,2,1,
1],[1,6,1,6,9,9,4,2,6,6,9,18,18,18,9,9,36,6,18,4,12,12,2,6,6,9,18,18,18,9,9,
36,6,18,12,4,12,1,6,1,6,9,9,4,1,3,3,1,3,1,3,1],[1,4,24,1,4,3,3,4,1,12,4,3,3,
12,3,12,6,3,12,12,12,12,12,3,3,6,4,4,16,4,1,1,12,1,6,6,6,3,6,3,6,3,12,3,6,12,
6,12,6,6,6,4,8,8,8,1,1,6,6,6,3,6,3,6,6,4,1,1,4,1,3,1,2,2,2,1],[1,4,1,4,3,3,4,
1,6,4,3,6,3,3,6,3,3,3,6,6,6,4,4,4,1,1,1,6,3,6,3,3,3,3,3,3,3,6,6,4,4,4,1,1,3,3,
3,3,3,3,4,1,1,1,3,1,1,1,1],[1,4,1,4,3,3,4,1,2,4,3,3,3,6,6,3,3,3,6,4,4,4,1,1,1,
1,6,6,3,3,3,3,3,6,6,4,8,1,1,2,3,6,3,4,1,1,1,1,1,2,1],[1,4,1,8,3,15,4,1,4,5,3,
3,18,21,2,3,6,2,3,18,12,30,12,12,4,4,20,1,1,5,1,3,3,6,9,9,3,18,6,12,6,24,6,6,
6,3,3,24,4,8,8,8,1,1,2,2,2,3,3,6,6,6,4,1,1,5,1,1,2,2,2,1],[1,4,1,4,3,3,4,1,4,
3,3,3,6,3,12,3,3,6,12,4,4,4,1,1,1,6,3,3,6,6,3,3,6,6,6,4,8,1,1,6,3,3,6,4,1,1,1,
3,1,2,1],[1,4,1,4,3,3,4,1,4,3,12,3,3,6,3,3,3,6,12,4,4,4,1,1,1,6,3,3,3,3,6,6,6,
6,6,4,8,1,1,6,3,3,6,4,1,1,1,3,1,2,1],[1,4,1,4,3,3,4,1,4,3,3,3,6,3,3,2,3,6,6,4,
4,4,1,1,1,1,3,3,3,3,3,6,6,6,6,4,8,1,1,2,3,3,6,4,1,1,1,1,1,2,1],[1,3,12,1,5,6,
4,1,3,3,6,6,6,6,6,6,1,6,3,6,6,6,4,8,8,1,6,2,3,3,3,3,3,3,6,6,6,6,6,6,4,4,4,1,3,
1,3,3,3,3,3,4,1,2,2,3,1,1,1,1],[1,6,12,9,4,2,12,12,9,18,6,6,6,8,12,12,6,3,12,
6,9,3,12,4,4,4,1,6,1,6,3,3,4,2,3,3,1,1,1,1],[1,4,12,12,3,4,1,1,6,12,6,3,6,3,9,
6,6,8,4,8,6,1,6,6,3,3,6,3,6,3,6,6,4,4,4,1,3,3,1,3,3,3,3,4,2,1,2,3,1,1,1,1],[1,
4,14,3,6,4,1,6,1,12,6,3,3,6,9,6,6,6,6,8,4,8,6,1,2,6,3,6,3,3,6,3,3,3,6,12,4,4,
4,1,3,3,1,3,3,3,3,4,2,1,2,3,1,1,1,1],[1,4,14,3,6,4,1,1,12,12,3,3,6,9,6,6,6,6,
8,4,8,6,1,2,6,3,3,6,6,6,3,3,6,6,6,4,4,4,1,3,1,3,3,3,3,3,4,2,1,2,3,1,1,1,1],[1,
3,12,13,3,4,1,6,6,6,6,3,3,6,6,1,6,6,3,8,8,4,6,6,1,3,6,3,3,6,3,3,3,6,6,4,4,4,1,
3,3,1,3,3,3,3,4,2,2,1,3,1,1,1,1],[1,12,8,24,3,1,18,48,24,1,3,4,2,18,5,24,3,3,
18,8,4,8,3,3,12,6,24,3,6,6,12,18,6,2,1,3,6,3,3,1,6,2,6,1,9,1,6,1,4,16,2,6,5,8,
3,1,8,6,6,3,3,6,3,3,3,6,6,1,3,1,2,2,1,1,4,2,8,1,2,2,1,1,1,4,2,2,6,2,2,1,3,3,2,
1,1,2,1,1,2,1,1,1,2,1],[1,6,6,18,9,1,3,18,18,2,3,18,9,9,18,9,18,6,6,2,6,9,3,9,
9,6,18,6,9,9,9,9,9,9,18,2,1,1,6,6,9,3,18,3,6,6,6,9,3,9,1,9,3,9,1,2,6,3,3,3,3,
3,6,3,9,3,6,3,3,1,1,3,1,3,3,1],[1,6,4,6,3,1,3,6,6,1,6,2,3,3,3,12,2,4,2,2,3,3,
3,3,6,6,1,3,12,3,1,9,1,1,1,2,2,2,3,1,3,4,2,2,3,3,3,1,3,3,3,1,1,1,1,1,2,4,1,2,
1,3,1,3,1,1,1,1,1,1,1,1],[1,10,9,1,2,4,4,11,18,6,2,10,9,4,6,1,4,2,9,1,4,2,4,4,
11,18,6,2,2,1,2,1,1,4,6,1,4,2,9,1,4,1,2,1,2,1,1,1],[1,8,12,3,1,1,3,4,2,6,5,6,
3,15,6,8,4,3,2,1,6,6,9,1,6,2,1,3,12,6,1,1,4,2,2,5,2,3,5,2,1,3,3,3,3,3,3,2,1,2,
2,3,1,2,2,1,1,4,2,3,1,1,1,1,1,1,1,1],[1,6,4,30,3,1,3,18,18,1,2,24,3,15,3,6,24,
2,4,2,10,3,6,9,6,18,1,6,6,1,12,3,1,6,12,1,1,6,2,8,3,5,3,2,6,8,2,3,3,3,3,1,3,3,
2,1,2,2,3,6,2,1,4,1,1,2,4,3,1,1,1,1,1,1,1,1],[1,6,13,1,2,9,18,12,6,6,13,6,9,6,
1,3,6,2,9,18,12,6,1,3,3,6,9,6,1,3,6,1,1,3,3,1],[1,6,6,18,9,4,3,18,18,2,3,18,9,
9,18,9,18,6,12,4,12,3,9,9,6,18,6,9,9,9,9,9,9,18,1,4,12,12,9,3,9,1,9,3,9,1,3,3,
4,3,3,1,3,1],[1,5,3,15,4,1,1,1,15,9,9,3,1,15,6,6,20,1,3,3,3,3,3,3,5,9,9,3,6,4,
4,4,1,3,1,3,1,3,1,3,4,5,1,1,1,1,1],[1,12,3,3,9,4,6,6,6,1,6,9,9,1,9,6,6,6,12,8,
6,3,6,6,6,12,3,3,3,9,3,3,4,4,4,1,3,3,3,1,3,3,3,4,3,2,3,1,1,1,1],[1,6,3,18,3,9,
4,18,3,18,1,18,9,9,9,18,1,9,3,9,6,12,4,12,6,9,18,3,9,3,9,3,9,9,9,9,9,18,4,12,
12,1,3,9,9,1,3,9,9,4,3,1,3,3,1,3,3,1],[1,4,3,12,3,9,4,1,12,9,3,3,18,9,1,12,9,
9,6,9,18,18,18,16,12,3,1,3,4,9,9,9,18,9,9,9,18,6,3,9,18,18,4,12,12,1,1,3,3,3,
3,9,9,4,4,3,1,1,3,3,1],[1,3,12,3,9,4,1,9,9,6,6,6,6,1,9,6,6,6,12,8,3,6,3,9,3,3,
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],[1,12,3,3,9,16,6,6,6,1,6,
9,9,1,9,6,6,6,16,6,3,6,6,6,12,3,3,3,9,3,3,4,4,12,3,3,3,1,3,3,3,4,4,4,3,1,1],[
1,4,3,12,3,9,16,1,12,9,3,3,18,9,1,12,9,9,6,9,18,18,18,16,3,1,3,4,9,9,9,18,9,9,
9,18,6,3,9,18,18,4,4,12,1,3,3,3,3,9,9,4,4,12,1,1,1],[1,3,12,3,9,16,1,9,9,6,6,
6,6,1,9,6,6,6,16,3,6,3,9,3,3,3,3,6,6,6,12,4,4,12,1,3,3,3,3,3,3,4,4,4,3,1,1],[
1,9,3,27,4,1,3,3,27,9,27,9,1,27,6,18,4,12,12,3,3,9,9,9,9,9,9,9,27,9,18,1,12,4,
12,9,1,9,3,9,3,9,3,1,3,4,3,1,3,3,1],[1,6,3,18,3,9,4,18,3,18,1,18,9,9,9,18,1,9,
3,9,6,12,4,12,6,9,18,3,9,3,9,3,9,9,9,9,9,18,4,12,12,1,3,9,9,1,3,9,9,4,3,1,3,3,
1,3,3,1],[1,6,1,6,9,9,16,2,6,6,9,18,18,18,9,9,36,6,18,16,2,6,6,9,18,18,18,9,9,
36,6,18,8,12,6,1,6,9,9,8,12,1,1,1],[1,18,9,16,2,12,12,15,18,6,6,16,12,6,3,12,
6,9,3,12,8,12,6,1,6,3,3,8,4,3,1,1],[1,6,12,9,16,2,12,12,9,18,6,6,6,16,12,6,3,
12,6,9,3,12,8,12,6,1,6,3,3,8,4,3,1,1],[1,6,13,16,2,9,18,12,6,16,6,9,6,1,3,6,8,
12,1,3,3,4,1,1,1],[1,6,21,16,2,9,18,24,18,16,6,9,18,3,9,18,8,12,1,9,9,12,3,1,
1],[1,6,9,4,16,2,9,18,6,6,6,16,6,9,6,1,3,6,8,12,1,3,3,4,1,1,1],[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],[1,6,13,16,2,9,18,12,6,16,
6,9,6,1,3,6,8,12,1,3,3,4,1,1,1],[1,6,3,18,3,9,4,18,3,18,1,18,9,9,9,18,1,3,9,9,
6,12,4,12,6,9,18,3,9,3,9,3,9,9,9,9,9,9,9,4,12,12,1,3,9,9,1,3,9,9,4,3,1,3,3,1,
3,3,1],[1,12,6,12,5,1,18,36,12,4,3,18,4,12,2,2,6,4,4,5,12,18,12,12,1,1,6,1,4,
12,6,4,12,3,6,4,4,4,2,2,3,6,6,1,3,4,6,4,1,4,1,2,1,4,4,3,1,2,2,1,1,1],[1,6,2,
18,5,1,3,6,6,3,4,6,1,9,4,9,6,2,2,2,6,5,6,3,6,6,6,3,6,6,2,3,1,3,12,1,1,2,4,2,1,
3,4,3,2,2,2,3,3,3,3,3,3,1,2,1,2,2,1,2,2,2,2,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,6,
24,5,1,6,4,12,3,12,4,6,12,2,2,6,8,5,12,6,12,1,12,6,1,1,4,12,12,2,4,4,3,4,4,2,
4,2,2,6,6,3,1,3,4,2,4,1,4,2,1,1,4,4,4,3,2,2,1,1,1,1],[1,2,5,1,6,1,6,2,4,2,5,6,
1,2,2,1,6,1,2,1,2,2,4,3,1,3,2,1,2,2,1,2,1,3,1,1,1,1],[1,6,13,1,4,3,12,14,6,6,
13,1,3,3,12,2,6,6,2,4,3,12,14,6,3,6,6,1,3,3,12,2,6,6,2,1,3,6,6,1],[1,6,5,1,4,
3,4,24,2,2,6,5,1,1,12,1,4,4,3,4,8,2,2,1,6,1,1,4,1,4,3,1,2,1],[1,6,5,1,4,3,4,2,
10,6,5,1,1,1,4,4,4,3,4,2,10,1,2,1,1,1,4,4,1,1,2,1],[1,6,5,1,4,3,4,2,2,6,5,1,1,
1,4,12,4,3,4,2,2,1,6,1,1,1,4,4,3,1,2,1],[1,2,9,1,4,1,4,8,6,2,9,2,1,2,1,3,2,4,
1,4,8,6,1,1,1,2,1,2,1,3,2,1,1,1,1,1],[1,2,24,5,1,12,1,12,12,2,4,2,8,5,6,1,2,
12,2,1,6,1,4,1,4,4,2,4,3,1,3,6,6,2,1,2,4,2,1,2,1,3,1,1,1,2,2,1],[1,9,3,27,4,3,
1,3,27,27,9,9,1,27,18,6,4,12,12,3,9,9,3,9,9,9,9,27,9,9,18,1,12,4,12,9,3,9,1,9,
3,9,1,3,3,4,3,3,1,3,1],[1,9,1,9,4,3,1,3,9,9,3,3,3,7,6,4,4,4,3,3,3,1,3,3,3,3,9,
3,9,1,4,4,4,3,3,3,3,1,3,3,1,1,1,4,3,1,1,1,1],[1,12,1,12,7,7,4,3,4,6,12,9,12,6,
9,9,18,9,7,9,18,4,4,4,4,4,4,4,6,3,6,3,3,4,6,1,6,4,6,6,6,3,6,6,9,9,9,9,3,6,3,1,
4,4,4,4,4,4,4,6,3,6,3,3,1,6,3,6,3,3,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,9,1,
15,14,4,3,1,3,9,9,9,9,18,18,3,7,6,18,18,4,4,4,8,8,3,3,9,6,1,3,2,6,3,3,6,6,3,3,
9,9,6,18,6,12,6,1,4,8,4,4,8,3,6,3,3,6,1,3,6,3,3,6,1,1,1,2,2,4,3,1,2,1,1,2,1],[
1,9,1,9,4,3,1,3,9,9,3,3,1,9,6,4,4,4,3,3,3,1,3,3,3,9,9,3,3,1,4,4,4,3,3,3,3,1,3,
3,1,1,1,4,3,1,1,1,1],[1,3,12,3,9,4,6,1,6,9,9,6,6,1,9,6,6,6,8,12,6,3,6,3,3,3,3,
9,3,6,6,12,1,4,4,4,3,3,3,1,3,3,3,2,3,4,3,1,1,1,1],[1,3,12,1,15,4,6,1,6,3,6,3,
6,6,6,6,3,1,6,8,4,8,6,3,6,1,6,3,3,3,3,3,6,6,6,1,4,4,4,3,3,3,3,1,3,3,2,1,2,4,3,
1,1,1,1],[1,6,24,1,6,1,1,4,6,4,12,6,12,3,12,6,6,12,12,12,12,12,1,3,8,4,8,4,4,
12,3,12,6,6,4,1,12,4,6,6,12,6,3,6,3,3,6,6,6,1,4,8,8,4,4,6,6,12,3,6,1,6,3,2,1,
1,2,1,4,3,1,2,2,1,1,1],[1,3,12,1,9,2,4,6,1,6,3,9,6,6,6,3,6,1,6,6,6,8,4,8,6,3,
6,1,2,3,3,3,3,3,6,6,6,12,1,4,4,4,3,3,3,1,3,3,3,2,1,2,4,3,1,1,1,1],[1,3,12,1,3,
12,4,6,1,6,3,3,6,6,6,6,1,3,6,6,8,4,8,6,3,6,1,6,3,3,3,3,3,6,6,6,1,4,4,4,3,3,3,
3,1,3,3,2,1,2,4,3,1,1,1,1],[1,6,3,18,1,3,4,4,18,36,3,18,1,18,3,3,24,9,18,12,4,
12,12,1,12,6,36,9,18,9,36,1,9,6,1,4,12,12,4,3,12,3,9,3,1,3,4,1,1,3,3,1],[1,3,
12,3,9,4,1,6,9,9,6,6,6,1,9,6,6,6,12,8,3,6,3,6,3,9,3,3,3,6,6,12,1,4,4,4,1,3,3,
3,3,3,3,3,2,4,3,1,1,1,1],[1,3,3,9,6,18,4,1,3,9,9,9,3,9,1,9,18,18,6,18,18,12,4,
12,3,3,9,9,9,3,9,9,9,9,9,18,6,18,1,4,12,12,1,9,9,3,9,3,9,3,1,3,4,3,1,3,3,1],[
1,6,1,18,1,13,4,4,6,6,12,12,3,18,6,6,1,6,6,3,12,12,18,4,8,4,4,8,4,12,1,4,12,3,
6,3,6,3,12,6,6,3,12,6,6,6,6,6,1,4,4,4,8,8,6,1,6,6,12,3,3,6,1,2,1,1,2,4,3,1,1,
1,2,2,1],[1,3,12,1,15,4,1,6,3,6,3,6,6,6,6,6,1,3,6,4,8,8,1,6,6,3,6,3,3,3,3,3,6,
6,6,1,4,4,4,3,3,1,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,3,1,21,6,8,4,1,3,3,6,9,9,3,6,
3,9,6,1,6,6,12,18,18,12,4,8,4,8,4,1,6,3,2,3,3,6,3,6,3,3,3,3,3,12,6,6,9,6,6,6,
6,6,12,1,4,4,4,8,8,3,3,1,6,6,3,3,6,3,3,6,1,2,1,2,1,4,3,1,1,1,2,2,1],[1,6,1,6,
1,1,4,4,6,12,3,6,12,1,6,3,6,4,4,4,4,1,4,3,6,3,6,3,3,6,6,6,1,4,4,4,6,1,6,3,3,1,
1,1,4,3,1,1,1,1],[1,3,12,1,9,2,4,1,6,3,9,6,6,6,6,3,6,1,6,6,6,4,8,8,1,6,2,3,6,
3,3,3,3,3,6,6,6,12,1,4,4,4,3,3,1,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,3,1,3,6,6,4,1,
3,3,3,3,3,3,1,9,6,6,6,4,4,4,1,3,3,3,3,3,3,3,3,3,3,6,6,1,4,4,4,3,3,1,3,3,3,3,1,
1,1,4,3,1,1,1,1],[1,6,1,6,1,1,4,4,6,12,3,6,4,4,1,3,4,4,4,4,1,4,6,12,3,6,3,4,1,
4,4,4,4,1,4,6,1,1,1,4,1,1,1,1,1],[1,3,12,1,3,12,4,1,6,3,3,6,6,6,6,6,3,1,6,6,4,
8,8,1,6,6,3,6,3,3,3,3,3,6,6,6,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,3,1,
3,6,6,4,1,3,3,3,3,3,3,3,7,6,6,6,4,4,4,1,3,3,3,3,3,3,3,3,3,3,6,6,1,4,4,4,1,3,3,
3,3,3,3,1,1,1,4,3,1,1,1,1],[1,18,3,6,3,9,4,18,18,9,18,18,1,9,9,3,1,9,9,3,6,12,
12,4,6,9,18,9,9,18,9,3,3,9,9,9,3,9,12,4,12,1,3,9,9,9,9,1,3,4,3,3,1,3,1,3,3,
1],[1,3,12,3,9,4,6,1,6,9,9,6,6,1,9,6,6,6,12,8,6,3,6,3,3,3,3,9,3,6,6,12,4,4,4,
1,3,3,3,1,3,3,3,4,3,2,3,1,1,1,1],[1,6,3,18,1,3,4,4,18,36,3,18,1,18,3,3,24,9,
18,24,4,12,1,12,6,36,9,18,9,36,1,9,6,16,12,1,4,3,12,3,9,4,6,1,1,4,3,1],[1,6,3,
18,3,9,4,18,3,18,1,9,9,18,9,18,1,9,3,9,6,12,4,12,9,6,18,3,9,3,3,9,9,9,9,9,9,
18,4,12,12,1,9,3,9,1,3,9,9,4,3,1,3,3,1,3,3,1],[1,3,12,3,9,4,1,6,9,9,6,6,6,1,9,
6,6,6,12,8,3,6,3,6,3,9,3,3,3,6,6,12,4,4,4,1,1,3,3,3,3,3,3,4,3,2,3,1,1,1,1],[1,
3,3,9,2,6,4,1,1,9,9,3,1,3,1,9,6,6,6,6,6,12,8,3,1,3,3,3,3,9,3,3,3,3,6,2,6,4,4,
4,1,1,3,3,1,3,1,3,4,3,2,1,1,1,1,1],[1,3,12,3,9,16,6,1,6,9,9,6,6,1,9,6,6,6,16,
6,3,6,3,3,3,3,9,3,6,6,12,4,4,12,3,3,3,1,3,3,3,4,4,4,3,1,1],[1,6,3,18,1,3,16,4,
18,36,3,18,1,18,3,3,24,9,18,16,12,1,12,6,36,9,18,9,36,1,9,6,4,4,12,4,3,12,3,9,
4,4,12,1,1,1],[1,3,12,3,9,16,1,6,9,9,6,6,6,1,9,6,6,6,16,3,6,3,6,3,9,3,3,3,6,6,
12,4,4,12,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,6,13,16,4,3,12,14,6,16,1,3,3,12,2,6,6,
2,4,8,3,6,6,4,8,4,4,1,1],[1,6,13,16,4,3,12,14,6,16,1,3,3,12,2,6,6,2,4,8,3,6,6,
4,8,8,1,1],[1,6,1,12,16,4,3,12,6,6,8,16,1,3,3,12,2,3,3,6,1,1,4,8,3,6,3,3,4,8,
4,4,1,1],[1,12,1,12,3,3,4,6,6,6,1,6,3,3,6,6,1,3,6,6,4,8,8,6,3,6,6,6,3,3,1,3,3,
3,6,6,4,4,4,1,3,3,3,1,3,3,3,4,1,2,2,3,1,1,1,1],[1,6,1,6,3,3,4,6,3,6,6,1,3,3,3,
1,3,3,3,6,4,4,4,6,3,6,3,3,3,3,1,3,3,3,3,3,4,4,4,1,3,3,3,3,3,1,3,4,1,1,1,3,1,1,
1,1],[1,6,1,6,3,3,4,6,3,6,1,3,3,6,3,1,3,3,3,6,4,4,4,3,6,6,3,3,3,1,3,3,3,3,3,3,
4,4,4,1,3,3,3,1,3,3,3,4,1,1,1,3,1,1,1,1],[1,1,24,3,3,4,1,6,3,3,6,12,6,6,1,3,
12,4,16,3,6,3,6,1,3,3,3,3,12,6,6,4,4,4,1,1,3,3,3,3,3,3,4,1,4,3,1,1,1,1],[1,2,
3,6,1,3,4,2,6,6,1,6,1,6,3,3,3,6,8,4,6,1,6,2,6,3,6,3,6,1,3,8,4,1,2,3,6,1,3,4,2,
1,1,2,1,1],[1,12,2,12,3,6,1,3,4,6,12,6,6,12,12,12,6,1,6,6,6,6,1,6,6,6,3,3,3,6,
8,8,8,4,3,6,6,6,6,6,6,6,6,6,6,2,3,6,3,3,6,3,6,6,6,6,1,3,6,4,8,4,4,8,1,3,3,3,6,
6,6,6,1,3,3,3,4,2,2,2,1,3,1,2,1,1,2,1],[1,12,1,3,3,2,6,4,6,6,6,3,1,6,3,1,3,6,
6,6,6,6,6,4,8,8,3,6,6,6,6,12,1,3,3,3,3,3,2,6,4,4,4,1,3,3,3,1,3,3,3,4,1,2,2,3,
1,1,1,1],[1,2,3,6,1,3,4,6,6,1,6,6,1,6,3,3,6,3,6,6,8,4,3,6,6,2,3,3,3,6,3,6,1,3,
6,4,4,4,1,3,3,3,1,3,3,3,4,2,1,3,1,1,1,1],[1,1,12,3,3,2,6,4,6,3,6,1,3,6,6,1,3,
6,6,6,6,6,6,4,8,8,3,6,6,1,3,3,3,3,3,6,6,12,2,6,4,4,4,1,3,3,3,3,1,3,3,4,1,2,2,
3,1,1,1,1],[1,6,1,18,3,3,2,6,4,6,3,6,12,12,6,3,1,3,9,6,12,12,1,3,3,9,6,6,6,6,
4,4,12,8,3,6,6,3,3,6,6,12,3,1,3,3,3,3,9,3,6,6,12,6,2,6,6,6,4,4,4,8,8,1,3,3,3,
6,6,3,3,1,3,6,6,4,1,1,3,2,3,1,1,1,2,2,1],[1,2,24,3,6,1,3,4,12,6,1,12,6,12,12,
12,12,12,1,6,12,3,3,3,6,8,16,4,6,6,6,2,6,3,6,6,6,6,12,12,6,12,12,6,1,3,6,8,4,
8,8,1,6,3,6,1,6,3,6,6,6,4,2,4,1,3,2,1,2,2,1],[1,2,3,6,5,15,4,6,1,4,6,12,1,6,
15,15,3,24,6,24,2,18,12,8,20,2,3,12,6,12,1,3,12,12,5,3,24,6,18,6,3,3,24,4,16,
8,1,1,4,3,3,12,2,6,4,2,5,1,1,4,2,1],[1,2,3,6,1,3,4,6,1,12,6,1,6,3,3,3,6,12,8,
4,2,3,6,6,6,6,6,6,1,3,6,4,8,1,1,6,3,3,6,4,2,1,3,1,2,1],[1,2,3,6,1,3,4,6,1,6,1,
6,3,3,3,6,2,6,8,4,2,3,6,1,3,1,3,6,6,6,6,4,8,1,1,3,3,2,6,4,2,1,1,1,2,1],[1,2,3,
6,3,9,4,6,1,6,1,6,9,9,3,6,1,9,1,3,6,8,12,2,3,6,1,3,3,3,3,9,3,3,3,3,3,3,4,4,4,
1,1,3,3,1,1,3,3,4,2,3,1,1,1,1,1],[1,1,12,3,3,2,6,4,3,6,1,6,3,6,6,1,3,6,6,6,6,
6,6,4,8,8,1,3,3,3,3,3,3,6,6,6,6,6,6,2,6,4,4,4,1,3,1,3,3,3,3,3,4,1,2,2,3,1,1,1,
1],[1,24,3,1,3,4,12,12,12,1,12,3,3,1,3,16,4,12,6,12,6,6,1,6,3,3,8,4,1,6,3,6,1,
3,4,4,1,3,2,1,1],[1,3,7,21,4,1,21,21,7,63,42,28,7,21,63,1,21,42,28,1,7,3,21,4,
7,1,7,1],[1,3,3,9,4,1,9,9,1,9,2,6,6,12,3,3,9,6,6,1,3,6,6,4,8,1,1,2,3,3,6,4,3,
1,1,2,1],[1,3,5,15,4,1,15,15,2,18,1,3,12,20,5,6,18,3,3,1,6,3,3,3,8,4,1,2,1,3,
6,3,4,5,1,2,1,1],[1,3,1,3,4,1,3,3,1,3,4,1,3,3,6,6,4,1,1,3,3,4,1,3,1,1],[1,3,1,
3,4,1,3,3,3,9,4,1,9,9,1,9,3,3,12,1,3,3,9,4,1,1,3,1],[1,6,3,18,3,9,4,18,3,18,1,
18,9,9,9,18,1,9,3,9,6,4,12,12,6,9,18,3,9,3,9,3,9,9,9,9,9,9,9,12,4,12,1,3,9,9,
1,3,9,9,4,3,1,3,3,1,3,3,1],[1,3,7,21,4,1,21,21,7,63,42,12,4,12,7,21,63,1,21,
42,4,12,12,1,7,3,21,4,3,1,3,1,1,3,3,1],[1,3,9,27,4,1,27,27,4,36,3,9,24,12,4,
12,9,12,36,9,9,3,18,9,9,9,4,12,12,1,4,3,9,18,9,4,3,1,3,3,1,3,3,1],[1,3,7,21,
16,1,21,21,7,63,42,16,7,21,63,1,21,42,4,4,12,7,3,21,4,4,12,1,1,1],[1,3,1,3,16,
1,3,3,3,9,16,1,9,9,1,9,3,3,4,3,3,9,4,4,12,1,1],[1,3,1,3,16,1,3,3,3,9,16,1,9,9,
1,9,3,3,4,3,3,9,4,4,12,1,1],[1,3,1,3,4,1,3,3,3,9,12,4,12,1,9,9,1,9,3,3,4,12,
12,3,3,9,4,1,1,3,1],[1,6,1,6,13,13,4,6,3,12,6,12,13,3,24,10,30,6,6,4,4,4,4,4,
4,4,3,12,3,3,6,6,12,10,6,6,6,6,1,3,6,7,3,12,6,6,4,4,4,4,4,4,4,1,3,6,3,3,6,1,3,
6,3,6,3,4,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,6,1,6,3,23,4,6,3,6,24,3,10,3,24,
1,21,3,9,18,4,4,4,8,8,3,12,6,3,9,12,1,9,3,3,3,3,3,3,3,3,2,6,6,6,6,6,6,6,4,8,4,
4,8,1,3,3,3,6,6,1,3,3,3,3,3,3,3,4,1,1,1,2,2,3,1,1,1,2,1,1,1],[1,1,12,7,19,4,6,
7,6,6,24,6,24,7,27,12,6,4,8,4,4,8,3,12,7,3,6,6,3,3,12,6,6,12,1,7,6,12,6,6,6,4,
4,4,8,8,1,3,6,1,3,6,6,3,3,6,6,4,1,2,1,1,2,3,1,1,1,2,1,1,1],[1,1,12,9,17,4,6,9,
4,6,24,6,24,4,24,3,9,12,4,8,4,8,4,3,12,4,6,3,3,6,3,3,6,6,6,6,12,3,2,12,3,6,3,
3,6,6,4,4,4,8,8,1,3,3,3,3,1,3,3,6,6,3,3,3,3,4,1,2,1,2,1,3,1,1,1,2,1,1,1],[1,
24,1,1,1,4,12,12,12,1,3,3,8,4,8,4,4,6,6,6,3,6,1,3,4,8,8,4,4,3,6,6,3,1,4,1,3,1,
2,1],[1,1,1,1,4,12,1,3,3,4,4,4,6,3,1,3,6,4,4,4,3,3,1,4,1,3,1,1],[1,6,7,6,16,2,
3,12,6,6,7,3,6,2,16,6,3,6,6,1,3,6,8,4,8,1,3,3,4,1,1,1],[1,6,7,6,16,4,3,12,7,3,
6,4,16,1,3,3,6,3,3,1,3,6,1,3,1,1,4,4,4,3,3,3,3,3,4,4,4,4,4,1,1],[1,6,1,12,16,
4,3,12,6,3,3,8,16,1,3,3,6,6,3,2,3,6,1,1,4,8,3,6,3,3,4,8,4,4,1,1],[1,6,1,12,16,
4,3,12,6,3,3,8,16,1,3,3,6,6,3,2,3,6,1,1,4,8,3,6,3,3,4,8,4,4,1,1],[1,12,3,2,1,
4,4,2,9,15,6,3,1,3,3,6,4,6,2,1,4,2,4,9,3,3,3,3,1,1,5,3,1,2,6,2,1,3,1,3,1,1,1,
1],[1,18,9,2,1,4,4,2,27,18,6,6,9,6,12,6,2,1,4,2,4,18,9,6,2,6,6,1,12,6,1,3,6,2,
1,1],[1,9,3,27,2,1,4,4,2,27,9,3,1,3,18,3,6,3,9,6,36,36,18,2,1,4,2,4,9,9,9,18,
3,1,1,3,3,6,1,2,3,6,12,6,12,1,3,3,3,6,1,1,1,1],[1,15,2,1,4,4,2,9,8,6,15,12,6,
2,1,4,2,4,6,9,8,6,2,4,1,6,1,6,1,2,1,1],[1,3,9,27,2,1,4,4,2,27,6,6,6,18,9,1,9,
36,36,6,18,2,1,4,2,4,18,18,9,3,6,2,6,1,3,12,2,6,6,12,1,3,6,6,1,1,1,1],[1,3,9,
3,2,1,4,4,2,9,6,6,1,3,3,9,6,6,3,3,1,2,1,4,2,4,9,3,3,3,2,3,1,2,3,1,1,3,6,2,1,3,
3,1,1,1,1,1],[1,9,2,1,4,4,2,9,6,9,6,2,1,4,2,4,9,6,1,6,1,1,1,1],[1,9,18,2,1,4,
4,2,27,6,9,6,18,12,6,6,2,1,4,2,4,9,18,6,1,6,6,6,2,12,1,3,6,1,2,1],[1,9,6,2,1,
4,4,2,9,6,9,6,12,6,6,2,2,1,4,2,4,9,6,6,1,2,6,2,6,4,1,1,6,1,2,1],[1,9,2,1,4,4,
2,27,6,9,6,2,1,4,2,4,9,6,1,6,1,3,1,1],[1,36,3,2,1,4,4,2,27,18,12,3,36,9,6,36,
6,3,18,3,1,2,1,4,2,4,9,9,18,9,6,3,3,1,12,3,1,6,1,3,6,12,2,1,3,3,3,6,1,1,1,1],[
1,3,5,1,10,16,8,1,3,3,6,5,4,16,8,16,1,1,1,2,2,2,4,3,4,1,1,2,1,2,2,4,1],[1,3,2,
4,16,16,2,1,6,6,8,1,16,8,16,2,2,1,4,4,3,4,1,2,4,2,4,1],[1,1,7,7,7,7,21,8,7,1,
7,8,1,1,1],[1,6,3,1,3,1,3,1,2,3,3,6,3,1,1,1,1,3,1,3,1,2,3,3,1,1,1,1],[1,6,5,
30,1,5,1,30,3,30,5,15,1,2,1,5,10,5,15,6,1,1,1,6,1,10,10,5,5,1,3,6,6,1,3,5,2,1,
1,2,1,3,1,2,2,1,1,1],[1,6,1,10,1,3,5,15,1,2,1,10,15,6,1,2,1,5,5,1,3,1,3,5,2,1,
2,3,1,1,1,1],[1,3,5,15,1,15,5,15,1,1,5,5,15,3,1,3,5,5,5,1,3,1,3,5,1,1,1,3,1,1,
1,1],[1,3,5,15,1,15,5,15,1,1,5,5,15,3,1,3,5,5,5,1,3,1,3,5,1,1,1,3,1,1,1,1],[1,
5,3,15,1,15,1,15,1,3,5,15,5,1,3,3,1,15,15,1,3,1,3,5,3,1,3,1,1,3,3,1],[1,30,3,
1,15,1,15,1,3,10,15,3,6,1,5,5,1,1,3,3,5,3,2,3,1,1,1,1],[1,5,1,5,1,5,3,15,1,1,
5,5,15,1,1,1,1,5,5,1,1,3,3,5,1,1,1,3,1,1,1,1],[1,30,1,10,1,15,5,3,1,1,10,10,
15,1,2,6,1,5,5,1,1,3,3,5,1,2,2,3,1,1,1,1],[1,5,1,5,1,15,5,15,1,1,5,5,15,1,1,1,
5,5,5,1,1,3,3,5,1,1,1,3,1,1,1,1],[1,5,1,5,1,5,30,1,1,5,5,15,1,1,1,5,10,1,1,6,
5,1,1,1,3,1,2,1],[1,5,1,5,1,5,10,1,1,5,5,5,1,1,1,5,10,1,1,2,5,1,1,1,1,1,2,1],[
1,5,1,5,1,10,5,1,1,5,5,5,1,1,1,5,10,1,2,1,5,1,1,1,1,1,2,1],[1,3,5,15,1,15,15,
5,1,5,1,5,15,3,1,3,5,5,5,1,3,3,1,5,1,1,1,3,1,1,1,1],[1,5,3,15,4,15,1,15,1,20,
5,1,3,3,1,4,3,1,3,5,4,1,1,1],[1,5,3,15,4,15,1,15,1,20,5,1,3,3,1,4,3,1,3,5,4,1,
1,1],[1,6,3,4,3,1,3,1,4,3,6,3,1,4,3,1,3,1,4,3,1,1],[1,30,3,4,15,1,15,1,20,15,
3,6,1,4,1,3,3,5,4,3,1,1],[1,6,3,4,3,1,3,1,4,3,6,3,1,4,3,1,3,1,4,3,1,1],[1,30,
3,4,15,1,15,1,20,15,3,6,1,4,1,3,3,5,4,3,1,1],[1,1,15,15,10,15,5,15,6,10,10,10,
5,6,6,6,10,5,6,5,1,1],[1,10,15,10,15,5,15,6,10,10,10,15,6,10,5,6,5,1,1],[1,25,
10,5,15,15,6,20,10,15,6,10,5,6,5,1,1],[1,15,1,15,10,5,15,15,6,10,10,10,5,6,6,
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],[1,15,10,10,
15,5,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,15,1,15,10,5,15,15,6,10,10,10,5,6,6,
6,5,10,6,5,1,1],[1,1,15,15,10,15,5,15,6,10,10,10,5,6,6,6,10,5,6,5,1,1],[1,15,
10,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,15,10,10,5,15,15,6,10,10,10,15,
6,5,10,6,5,1,1],[1,21,1,14,7,7,21,1,7,3,7,1,2,1,1,3,1,1],[1,8,8,16,3,24,3,9,
12,32,4,12,32,16,16,1,2,4,2,12,24,9,36,6,5,16,3,2,30,9,8,12,12,16,12,1,24,4,8,
9,9,6,2,24,15,18,30,18,2,2,8,4,6,2,24,4,16,2,16,2,4,4,16,12,4,8,12,4,16,24,12,
4,4,12,16,8,8,4,16,4,24,2,3,6,1,2,3,4,1,4,2,2,2,2,12,6,1,4,2,12,6,6,6,4,1,6,6,
6,6,4,6,4,8,9,1,36,6,6,6,16,15,8,9,1,30,8,9,1,12,9,2,9,18,9,6,36,12,3,6,6,6,2,
8,16,12,6,16,12,8,8,6,8,4,4,3,15,18,8,6,18,2,6,4,1,4,2,2,4,4,2,4,8,4,2,4,2,4,
4,6,1,12,2,8,1,8,1,2,2,6,4,2,2,2,6,2,2,4,2,4,2,4,4,4,16,12,6,2,4,6,2,16,12,6,
2,4,6,4,4,4,4,8,16,12,4,6,1,6,1,1,6,2,3,1,3,1,3,6,2,2,4,1,1,2,2,1,1,1,1,2,4,6,
2,4,3,2,6,12,6,2,4,3,6,12,2,6,2,2,2,3,6,6,2,2,3,12,6,6,2,2,3,2,2,6,6,5,8,3,1,
9,1,9,1,1,1,1,1,9,12,6,2,3,2,6,3,2,8,8,1,1,6,6,6,4,6,12,6,4,2,2,4,1,2,1,1,2,4,
2,1,2,4,2,2,4,2,2,1,2,2,2,8,1,1,1,6,2,1,1,1,3,1,2,2,2,2,2,2,2,2,2,2,4,6,2,4,2,
2,2,6,2,2,2,2,2,2,3,6,2,1,1,1,1,3,2,1,2,2,1,2,2,1,1,1,1,1,2,1,1,2,2,3,2,6,1,2,
2,1,2,2,2,1,2,3,2,1,2,1,3,3,1,1,2,1,2,1,1,1,2,1,2,1,1,1,1,1,1,2,2,2,2,1,1,1,1,
1],[1,8,10,24,1,10,9,9,12,40,4,12,40,24,24,2,4,4,4,24,10,6,12,4,11,20,18,12,
22,18,12,24,24,20,24,9,11,36,6,18,2,2,4,8,8,6,4,24,8,20,12,20,12,8,8,20,24,8,
8,24,8,20,24,24,8,12,20,48,4,2,4,6,12,6,8,2,8,12,12,12,12,4,4,1,8,4,4,4,4,4,8,
2,4,4,12,12,8,12,8,11,10,18,6,18,12,18,3,4,2,9,12,9,1,1,4,4,24,12,24,36,12,12,
12,8,8,6,2,18,2,4,4,8,2,8,12,12,4,8,2,8,8,8,4,8,4,8,8,10,6,12,12,6,8,4,4,12,4,
12,12,4,4,4,24,4,8,4,8,4,8,8,8,4,12,4,8,12,8,8,8,4,2,4,6,6,2,1,12,2,4,6,2,12,
4,4,8,6,6,4,12,4,2,12,12,2,4,24,1,4,4,2,4,1,2,1,4,2,2,4,1,2,2,6,2,2,12,4,9,6,
1,4,12,9,2,12,1,2,1,4,1,4,4,4,4,8,6,4,4,4,12,4,1,4,4,8,2,2,2,4,4,4,4,4,2,6,2,
2,4,12,4,4,2,2,4,4,4,4,4,4,2,1,4,2,1,6,2,2,1,4,2,2,2,2,4,6,2,1,2,4,2,1,1,1,2,
1,1,1,2,2,4,2,2,2,4,1,2,2,2,2,1,2,1,1],[1,8,8,16,1,12,3,15,12,32,4,12,32,16,
16,1,2,4,2,12,8,5,12,6,5,16,3,2,22,21,8,12,12,16,12,2,4,3,6,2,2,5,18,12,30,10,
12,4,12,2,8,4,6,2,24,4,16,2,16,2,4,4,16,12,4,8,12,4,16,24,12,4,4,8,4,4,16,20,
24,2,1,2,1,2,5,4,1,4,2,2,2,2,4,6,1,4,2,4,6,2,2,4,1,2,2,6,6,4,6,4,1,1,2,2,5,8,
3,1,6,2,9,5,4,9,2,3,18,3,2,4,3,2,6,2,8,6,12,6,24,8,6,4,6,4,6,12,12,16,16,6,2,
6,2,6,6,3,8,3,2,4,4,24,4,1,4,2,2,4,4,2,4,8,4,2,4,2,4,4,1,2,8,1,2,5,2,2,6,4,2,
2,2,6,2,2,4,2,4,2,4,4,4,2,2,4,6,2,2,2,4,6,4,4,4,12,16,4,12,8,8,8,2,1,2,1,1,2,
2,1,2,2,2,2,2,2,4,1,1,2,2,2,2,2,1,2,2,2,2,3,2,4,2,2,1,1,2,2,3,12,12,3,3,3,3,1,
2,1,3,4,1,4,2,8,6,2,2,2,2,6,4,6,6,2,2,4,2,2,4,4,12,6,6,2,2,4,1,2,2,2,1,2,2,2,
4,1,2,3,1,1,1,1,4,1,2,2,4,4,2,4,2,2,2,12,1,2,1,1,1,1,2,2,1,1,1,1,1,2,1,1,1,1,
2,1,1,1,1,2,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,4,10,12,17,6,20,12,2,
2,4,4,12,11,10,26,14,12,18,14,2,4,4,10,14,4,4,4,12,4,4,6,6,4,6,6,1,4,4,4,2,6,
11,10,3,20,20,4,2,10,14,4,2,4,6,1,4,2,2,10,2,6,4,4,2,1,6,2,2,2,6,2,1,3,3,2,1,
1,10,6,6,2,4,4,2,2,2,3,2,2,1,2,2,1,2,1,3,1,1,2,2,1,1,1,1,1,1,1,1],[1,4,10,12,
9,8,6,20,12,2,2,4,4,12,11,10,18,14,8,12,6,12,2,12,2,4,4,10,6,8,4,4,4,12,4,4,6,
6,4,6,6,1,4,4,4,2,6,9,10,2,1,2,4,16,12,8,4,2,6,12,2,4,4,2,4,6,1,4,2,2,6,2,4,2,
4,4,4,2,1,6,2,2,2,6,2,1,1,3,2,2,1,1,6,6,4,2,2,4,4,4,2,2,2,1,2,2,2,1,2,2,1,2,1,
1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,4,6,12,3,18,9,27,2,12,2,2,12,12,12,2,2,12,18,
18,9,6,18,6,54,54,6,12,12,6,12,1,18,2,6,27,27,12,2,27,108,54,108,6,6,54,36,2,
1,2,6,6,6,6,4,6,12,12,6,12,2,2,6,6,6,4,6,12,24,6,6,6,18,1,6,6,6,6,6,6,6,6,18,
1,6,1,6,27,3,54,3,54,3,54,3,54,6,54,108,9,6,27,12,6,12,108,6,36,108,6,6,6,6,
12,6,6,12,6,6,12,12,12,12,9,27,108,6,6,18,54,108,6,54,27,6,27,216,1,6,6,1,1,3,
3,3,3,6,6,2,6,6,6,12,2,2,6,6,6,6,6,6,12,12,6,6,12,12,6,6,2,1,2,18,3,18,3,1,6,
2,18,6,12,2,1,1,3,3,3,3,6,6,6,12,6,6,3,6,6,6,12,12,9,3,18,3,54,3,54,3,3,3,3,3,
3,6,3,3,3,3,27,3,27,3,6,6,6,108,6,6,6,27,54,6,108,6,6,12,6,12,6,6,6,54,36,1,3,
3,2,6,3,3,3,3,1,3,3,3,6,2,6,2,2,4,6,6,12,6,3,3,3,1,3,3,1,18,3,1,6,3,3,3,3,3,3,
3,6,3,3,3,3,9,3,6,27,3,3,6,3,6,3,3,6,3,1,3,1,3,1,3,1,3,1,1,3,1,3,3,1],[1,4,4,
4,3,12,3,9,2,4,2,2,4,4,4,1,4,2,12,9,6,3,2,3,8,18,9,2,2,1,12,2,2,9,9,6,4,9,18,
18,18,8,2,6,2,1,2,2,2,2,2,4,2,4,4,2,4,2,2,2,2,2,4,2,4,3,1,2,3,2,8,2,2,8,6,1,6,
4,9,2,6,1,2,9,1,9,4,18,1,9,4,9,2,9,18,3,6,6,1,3,6,6,6,8,2,2,2,2,4,4,3,9,18,2,
6,6,18,8,6,6,6,1,2,2,1,1,1,1,1,1,2,2,2,2,2,2,2,4,2,2,2,2,2,4,2,2,4,4,1,1,3,1,
3,1,1,2,3,2,2,1,2,4,1,4,1,2,2,6,2,2,2,2,3,6,2,3,3,1,3,4,9,1,9,1,4,1,1,4,3,2,1,
1,1,1,3,3,3,3,6,3,6,6,4,2,6,4,1,1,1,2,2,1,1,1,1,1,1,1,1,2,2,2,2,2,2,1,1,1,1,3,
1,3,1,4,1,1,1,1,1,1,3,1,2,1,1,3,1,3,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1],[1,4,6,12,1,14,9,9,2,12,2,2,12,12,12,2,2,12,6,6,8,8,9,6,18,6,18,18,6,12,
12,6,12,4,2,6,9,2,8,13,36,4,6,6,18,4,2,1,2,6,6,6,6,4,6,12,12,6,12,4,4,6,6,24,
2,8,6,6,6,1,6,6,6,6,6,6,6,1,4,6,4,1,6,9,3,18,3,3,3,8,18,6,18,2,8,4,8,4,4,9,6,
9,2,12,6,12,36,6,6,6,4,6,4,8,6,8,2,6,6,6,2,6,2,18,6,2,8,4,4,1,6,6,2,2,3,3,6,6,
2,6,6,6,12,2,2,2,2,6,2,2,6,4,4,1,4,2,6,3,3,4,4,1,6,2,6,4,6,2,2,2,3,3,6,6,6,12,
2,2,3,2,2,6,3,3,1,2,4,2,3,2,6,2,2,3,3,9,3,3,1,6,6,4,4,9,4,6,6,2,2,4,4,2,2,4,4,
4,4,4,4,2,3,2,6,1,2,1,1,3,1,1,2,6,2,2,2,2,3,2,2,1,1,3,1,3,2,1,2,4,4,1,2,1,3,1,
1,1,1,1,1,3,1,1,1,1,1,3,1,2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,4,4,4,1,16,
3,15,2,4,2,2,4,4,4,1,4,2,4,5,8,6,3,2,3,8,18,21,2,2,6,2,10,3,6,2,8,7,18,16,30,
4,12,2,2,12,2,1,2,2,2,2,2,4,2,4,4,2,4,4,8,2,4,2,8,1,4,1,2,5,2,8,2,2,8,2,4,1,4,
2,1,4,8,2,1,6,3,1,3,4,6,5,9,2,8,9,2,3,18,2,4,4,8,3,2,6,6,1,1,12,6,6,24,2,4,4,
4,4,4,4,2,6,6,8,6,2,6,2,3,2,3,2,8,4,4,24,1,2,2,2,2,1,1,2,2,2,2,2,2,2,2,2,4,2,
2,2,2,2,4,4,4,2,2,2,2,1,1,2,2,2,2,1,2,2,1,2,1,4,2,4,1,2,5,2,2,6,2,2,2,2,1,2,2,
2,4,1,2,3,3,1,2,2,4,4,2,6,1,2,3,3,3,3,1,1,2,2,6,2,2,8,4,2,3,6,2,6,2,2,4,2,4,4,
2,2,2,1,2,2,2,1,2,1,1,1,1,1,2,2,2,2,2,2,2,1,2,1,1,1,1,1,2,2,2,3,2,2,1,1,1,1,4,
1,2,1,1,1,1,2,3,1,1,1,1,1,3,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,4,6,12,4,
9,8,2,12,4,8,12,2,2,12,4,4,9,6,18,6,12,4,2,8,8,6,12,14,2,4,4,6,6,4,4,12,4,4,4,
8,4,6,6,4,6,6,6,4,4,1,4,2,9,6,1,12,12,4,8,2,4,2,4,4,2,6,12,2,4,4,2,4,6,1,4,2,
2,6,2,2,4,4,4,4,2,1,6,2,2,2,6,1,2,1,2,1,1,2,2,1,6,6,2,2,4,4,4,4,2,2,2,1,2,2,2,
1,2,2,1,2,2,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,4,6,12,4,9,8,2,12,4,8,12,2,2,12,4,
4,9,6,18,6,12,4,2,8,8,6,12,14,2,4,4,6,6,4,4,12,4,4,4,8,4,6,6,4,6,6,6,4,4,1,4,
2,9,6,1,12,12,4,8,4,2,2,4,4,2,6,12,2,4,4,2,4,6,1,4,2,2,6,2,2,4,4,4,4,2,1,6,2,
2,2,6,1,2,1,2,1,1,2,2,1,6,6,2,2,4,4,4,4,2,2,2,1,2,2,2,1,2,2,1,2,2,1,1,1,1,2,2,
1,1,1,1,1,1,1,1],[1,8,6,8,3,18,5,15,12,24,4,12,24,8,8,4,18,36,3,12,4,8,18,12,
4,12,1,18,4,4,15,15,24,9,24,18,24,8,2,18,2,6,12,8,6,24,12,8,12,8,12,8,12,24,4,
12,12,4,4,12,16,12,1,12,6,36,6,12,9,6,12,4,18,6,12,4,9,36,1,4,3,1,3,4,12,8,8,
12,4,12,4,4,12,12,4,8,8,5,9,24,4,6,18,6,6,6,6,3,4,3,6,6,12,12,12,12,24,4,2,8,
6,12,6,4,6,4,6,4,4,4,4,8,12,12,4,12,12,8,4,12,4,4,8,4,4,3,12,4,1,2,3,3,6,4,4,
9,12,6,6,4,4,3,2,3,2,3,3,12,12,4,4,12,4,4,4,3,2,3,6,12,6,4,6,8,2,2,6,6,12,12,
12,6,6,4,1,4,2,2,6,4,6,2,2,2,2,4,2,2,4,4,4,4,1,1,3,1,3,1,1,2,1,4,4,3,2,3,12,2,
2,2,2,4,1,1,1,2,2,2,2,1,1,1,1,1],[1,8,6,8,1,14,5,13,12,24,4,12,24,8,8,4,6,4,
12,8,3,12,4,8,14,8,4,12,4,8,5,4,4,4,11,32,16,28,4,2,14,2,2,8,8,6,24,12,8,12,8,
12,8,12,24,8,4,8,8,12,8,4,8,1,4,8,2,2,4,4,3,6,4,4,4,4,2,2,8,4,8,12,3,8,4,4,1,
4,1,1,1,4,4,8,8,12,4,4,8,4,8,8,8,8,4,12,4,2,4,2,20,4,10,4,4,2,4,4,32,4,2,8,2,
4,6,4,4,2,6,4,4,4,4,8,4,4,4,4,4,8,8,8,4,4,1,4,4,4,8,1,2,1,2,2,4,4,2,2,4,4,2,4,
2,1,2,1,4,4,4,4,4,4,4,4,2,4,2,4,8,1,2,1,4,2,2,8,4,4,4,4,4,1,4,2,2,2,4,2,2,2,2,
2,4,2,2,4,4,2,2,1,1,2,2,1,2,2,2,4,2,2,1,4,2,1,1,2,2,2,1,2,2,2,2,1,2,1,1],[1,8,
6,8,1,6,13,13,12,24,4,12,24,8,8,4,6,12,3,12,12,24,6,12,4,12,13,3,24,14,42,6,6,
8,6,24,12,24,12,24,12,8,12,24,4,12,4,1,4,3,6,12,12,3,3,12,3,3,3,12,12,24,24,
12,12,14,6,6,6,12,12,2,6,6,14,6,12,6,12,2,6,4,2,8,6,12,6,12,12,12,12,24,4,1,3,
6,3,3,6,3,12,12,3,6,3,12,6,6,12,6,6,12,2,6,6,2,6,12,6,6,12,6,1,6,6,6,6,6,6,3,
3,1,6,3,6,6,6,6,6,3,2,6,1,3,1],[1,8,6,8,1,6,5,5,12,24,4,12,24,8,8,4,6,12,3,12,
4,8,6,4,4,12,5,3,8,2,6,10,10,8,6,24,12,8,12,8,12,8,12,24,4,12,4,1,4,3,6,4,4,3,
1,4,1,1,1,4,4,8,8,4,4,2,10,2,2,4,4,4,4,8,8,4,2,8,6,4,6,4,4,4,4,8,4,1,1,2,1,1,
2,1,4,4,1,2,1,4,2,2,4,4,4,4,4,1,2,2,2,2,2,2,1,1,1,2,1,2,2,2,2,1,2,2,1,1,1],[1,
8,6,8,1,6,5,21,12,24,4,12,24,8,8,4,6,12,3,12,4,8,6,20,4,12,5,8,3,8,16,16,2,30,
2,10,24,8,6,24,12,8,12,8,12,8,12,24,4,12,32,4,1,4,3,6,4,4,8,8,3,1,4,5,1,5,4,
20,8,8,4,4,8,8,16,16,2,12,2,4,2,2,8,2,2,4,4,4,8,8,4,4,8,4,12,6,6,8,12,4,2,2,4,
2,8,6,4,8,6,4,4,4,4,8,4,16,8,8,16,1,1,2,5,1,2,2,4,1,2,4,8,4,8,1,2,1,4,4,4,8,4,
4,8,12,4,8,6,6,2,2,4,2,4,2,2,4,2,4,4,4,4,4,2,2,4,4,4,4,1,2,2,2,4,4,2,2,2,8,8,
1,1,2,2,2,2,2,4,2,4,1,2,1,4,4,2,2,4,4,1,2,2,2,4,1,1,2,1],[1,8,6,8,1,6,5,5,12,
24,4,12,24,8,8,4,6,12,3,12,4,8,6,4,4,12,5,3,8,2,6,2,18,8,6,24,12,8,12,8,12,8,
12,24,4,12,4,1,4,3,6,4,4,3,1,4,1,1,1,4,4,8,8,4,4,2,2,8,2,2,4,4,8,8,8,4,2,8,6,
4,6,4,4,4,4,8,4,1,1,2,1,1,2,1,4,4,1,2,1,4,4,4,4,4,4,4,1,2,2,2,2,2,2,1,1,2,2,2,
2,1,1,2,1,2,2,1,1,1],[1,4,6,12,4,13,4,6,12,8,4,8,2,4,4,2,4,3,10,12,14,4,2,8,4,
8,4,12,14,4,6,8,4,2,4,6,12,4,2,4,4,4,4,4,8,4,2,4,2,4,4,1,4,4,2,4,2,6,4,2,3,6,
3,12,16,4,4,4,4,4,4,8,2,6,6,4,8,4,2,4,1,4,2,4,2,6,2,2,6,4,4,4,2,2,1,2,2,4,2,3,
3,1,2,2,1,2,4,1,6,2,6,2,4,4,4,4,2,3,2,2,2,2,1,2,2,1,1,3,1,1,2,2,2,1,1,1,1,1,1,
1,1],[1,4,6,12,4,5,12,6,12,8,4,8,2,4,4,2,4,3,10,4,14,4,10,8,4,8,4,12,2,16,10,
4,4,2,4,6,4,4,10,4,4,4,4,4,8,4,2,4,2,4,4,1,4,4,2,4,2,6,4,2,1,6,2,1,2,4,8,8,4,
12,4,4,4,4,8,4,2,2,4,10,4,4,2,4,1,4,2,4,2,2,2,4,2,2,4,4,4,4,2,2,1,2,2,4,2,1,3,
2,1,2,2,1,2,4,1,2,2,4,2,2,4,4,4,4,4,2,1,2,2,2,2,2,1,2,2,1,1,1,1,1,2,2,2,2,1,1,
1,1,1,1,1,1],[1,4,4,20,3,12,3,9,2,12,2,2,12,12,12,1,2,16,12,9,6,3,10,3,4,18,9,
10,16,16,10,16,1,12,2,10,9,9,6,9,18,18,18,4,2,6,4,1,4,6,6,4,6,12,12,6,12,2,2,
6,6,6,6,24,3,1,4,3,6,4,1,6,8,8,8,4,4,9,8,6,1,6,9,5,9,2,18,5,9,2,9,4,9,18,3,6,
2,1,3,4,8,4,2,6,2,10,6,16,8,10,16,6,8,8,8,8,4,4,3,9,18,6,8,6,6,18,2,6,6,2,2,4,
1,2,3,3,2,2,6,2,2,2,2,6,6,6,6,6,6,6,6,12,4,1,2,3,2,3,2,2,1,3,2,2,2,2,3,6,2,2,
3,8,6,2,4,2,8,6,2,2,2,2,4,3,5,3,2,9,2,9,2,4,2,6,3,3,3,1,1,3,3,2,8,2,2,2,2,3,6,
2,4,8,12,8,4,8,4,4,2,6,4,2,1,2,2,2,3,1,1,3,1,1,2,2,2,2,6,6,1,2,1,1,3,1,3,2,2,
1,2,1,1,3,1,4,3,1,1,1,1,2,1,1,2,1,3,2,1,1,1,1,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1],[1,4,2,12,3,6,5,15,2,4,2,2,4,4,4,2,4,4,6,12,1,6,4,6,6,12,6,4,4,6,4,1,6,2,
6,15,15,2,3,24,6,24,6,2,18,12,4,1,4,2,4,2,4,4,2,4,4,2,4,2,2,2,2,2,2,8,1,2,4,4,
2,12,4,2,12,2,2,2,4,2,1,2,12,1,2,3,3,12,3,6,3,12,3,6,12,1,2,3,8,2,8,12,2,12,2,
2,6,2,4,2,6,4,2,2,8,8,8,5,3,24,2,2,6,18,2,6,3,2,3,24,2,2,4,1,2,1,2,1,2,2,2,2,
2,2,4,2,4,2,2,2,2,2,4,2,2,2,2,1,2,1,2,1,2,2,2,2,2,4,4,2,2,2,6,12,2,2,2,1,6,2,
2,1,2,2,2,4,1,3,4,3,1,2,2,1,1,2,6,2,1,1,2,2,3,1,3,1,4,2,4,12,4,2,4,3,6,4,4,2,
2,2,2,2,6,2,1,2,2,2,1,2,1,1,1,1,1,2,2,2,2,2,2,2,1,2,1,1,1,1,1,2,2,2,1,2,1,1,3,
6,1,1,1,1,1,1,1,1,4,1,1,2,1,3,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,4,4,
20,1,16,3,15,2,12,2,2,12,12,12,1,2,16,4,5,8,6,3,10,3,4,18,21,10,16,16,10,16,6,
2,2,3,6,2,4,8,7,18,16,30,8,12,2,2,12,4,1,4,6,6,4,6,12,12,6,12,4,4,6,4,6,12,24,
1,4,1,4,5,2,4,4,1,4,2,8,8,8,4,1,2,4,2,1,2,3,5,3,2,6,1,9,4,8,9,4,3,18,2,4,4,8,
3,2,2,6,1,1,4,8,4,12,2,6,24,6,8,8,4,8,4,4,4,16,8,16,8,8,12,20,16,16,2,6,2,6,2,
6,8,2,3,6,3,2,8,4,4,24,2,2,4,1,2,3,3,2,2,6,2,2,2,2,2,2,6,2,2,6,12,12,4,12,6,6,
1,2,1,2,2,1,2,2,2,1,2,1,2,2,2,2,2,2,1,2,2,2,4,2,1,2,2,4,2,4,4,2,2,2,2,2,2,12,
16,3,3,4,5,1,2,1,2,2,1,1,2,1,2,1,3,3,1,2,2,8,6,2,2,4,2,3,6,2,2,6,6,2,2,8,4,2,
4,4,4,4,8,4,12,8,8,4,4,2,2,2,1,2,2,2,3,1,1,3,1,1,2,2,2,2,4,2,2,12,1,2,1,1,1,1,
1,2,2,2,4,2,1,2,1,1,1,1,2,1,2,1,1,3,4,1,1,1,1,1,2,1,1,1,1,2,2,4,4,4,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1],[1,4,2,12,1,18,5,13,2,4,2,2,4,4,4,2,4,4,2,4,8,4,1,6,4,
6,10,8,6,4,4,6,4,8,2,6,5,4,4,2,8,13,32,20,28,6,2,14,4,8,4,1,4,2,4,2,4,4,2,4,4,
2,4,4,8,2,4,4,2,4,1,2,4,4,2,4,8,4,2,8,4,2,2,2,4,2,1,4,2,1,2,1,3,4,3,4,3,2,3,8,
4,8,12,2,4,8,2,1,2,1,2,8,2,8,12,2,4,8,2,2,8,8,2,4,8,4,8,2,8,12,4,4,4,6,12,2,2,
2,4,2,20,2,2,10,4,2,4,2,8,4,4,32,2,2,4,1,2,1,2,2,1,2,2,2,2,2,4,2,4,2,2,2,2,2,
4,4,4,4,4,1,2,1,2,2,1,2,2,2,2,4,4,2,2,2,2,4,2,2,4,8,2,1,4,2,2,2,1,2,2,2,4,2,3,
4,3,1,1,2,2,1,2,2,1,1,2,2,1,1,1,1,1,4,4,2,4,4,4,2,4,2,2,4,8,2,2,4,4,1,4,4,4,4,
4,4,4,4,2,1,2,2,2,1,2,1,1,1,1,1,2,2,2,2,2,2,2,1,2,1,1,1,1,1,2,2,2,2,1,1,1,1,2,
1,1,2,4,1,1,1,1,1,1,1,4,1,2,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,4,
2,12,8,5,12,2,4,4,16,4,8,2,4,4,2,4,1,6,4,6,4,2,8,4,4,8,6,12,8,8,2,16,14,4,2,4,
2,4,4,2,4,4,4,4,4,4,8,8,4,2,4,2,4,4,4,2,4,2,4,2,6,4,1,1,2,1,4,8,4,4,4,4,4,8,4,
2,4,2,4,12,2,6,4,2,8,4,4,2,4,2,4,2,4,1,2,2,2,2,4,4,4,4,4,2,2,2,2,1,4,2,2,1,2,
1,2,1,4,1,1,2,2,2,2,2,2,4,4,4,4,4,4,2,2,2,2,2,1,2,1,2,2,1,2,2,2,1,1,1,1,2,1,1,
1,1,1,1,1,1],[1,4,2,12,8,5,12,2,4,4,16,4,8,2,4,4,2,4,1,6,4,6,4,2,8,4,4,8,6,12,
8,8,2,16,14,4,2,4,2,4,4,2,4,4,4,4,4,4,8,8,4,2,4,2,4,4,4,2,4,2,4,2,6,4,1,1,2,1,
4,8,4,4,4,4,4,8,4,4,2,2,4,12,2,6,4,8,2,4,4,2,4,2,4,2,4,1,2,2,2,2,4,4,4,4,4,2,
2,2,2,1,4,2,2,1,2,1,2,1,4,1,1,2,2,2,2,2,2,4,4,4,4,4,4,2,2,2,2,2,1,2,1,2,2,1,2,
2,2,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,10,3,30,9,27,2,4,4,30,18,36,12,11,18,66,54,
1,30,27,27,12,24,33,108,66,108,6,54,2,6,36,4,6,12,6,18,12,12,1,4,12,12,12,12,
2,12,12,10,18,36,12,33,54,66,54,24,54,54,108,9,12,36,24,6,12,9,27,1,3,4,12,
108,36,108,9,33,108,18,54,6,6,108,6,54,27,27,6,6,12,12,12,12,216,12,2,12,2,12,
18,18,6,12,1,2,18,6,12,4,12,3,12,12,12,6,12,24,1,3,4,12,6,12,12,6,24,1,6,6,11,
18,54,54,9,12,6,27,27,3,3,12,12,108,12,12,27,6,54,12,108,3,3,6,12,6,6,3,6,6,2,
54,6,12,12,36,12,6,6,4,6,12,1,6,6,6,3,6,18,6,3,6,12,1,4,6,12,3,3,3,6,2,6,3,6,
6,3,12,9,1,4,27,6,3,3,12,3,6,6,2,3,6,1,2,3,6,1,3,1,3,1],[1,8,8,3,24,3,9,1,2,4,
2,4,24,9,36,6,5,4,3,10,30,9,4,4,4,4,4,1,24,4,9,9,6,2,24,15,18,30,18,10,2,3,6,
1,4,3,4,1,4,6,6,12,6,1,4,2,12,6,6,6,1,6,6,2,2,4,2,8,9,1,36,2,6,15,2,9,5,30,2,
9,5,12,9,4,9,18,9,6,36,12,3,6,8,4,2,4,8,6,8,6,4,4,2,4,4,8,2,8,8,4,4,3,15,18,2,
18,6,6,8,6,1,6,1,6,3,2,3,2,3,6,2,2,2,2,2,2,4,1,2,3,3,2,2,6,2,4,6,2,3,2,6,12,6,
2,3,6,12,2,2,6,3,6,6,3,12,2,2,2,1,2,2,2,2,4,5,2,3,5,9,2,9,2,3,3,9,6,2,1,3,4,4,
2,2,2,2,8,2,6,6,2,6,2,4,4,8,4,4,2,2,4,4,2,3,6,2,1,2,3,1,1,1,1,2,2,4,2,1,2,2,3,
1,1,3,1,2,1,2,2,3,6,1,2,1,1,1,3,1,1,1,1,1,1,1,4,2,1,3,2,1,2,1,4,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1],[1,10,1,10,9,9,2,4,4,10,6,12,4,11,18,22,18,4,12,9,4,11,36,
12,6,18,2,2,4,2,4,6,6,4,4,1,4,4,4,4,4,2,4,4,2,12,6,20,11,18,10,6,18,18,3,4,2,
9,9,1,1,4,4,36,12,12,12,12,6,2,12,18,12,2,4,4,4,2,4,2,4,6,6,2,1,2,6,2,4,4,4,1,
4,4,4,2,4,1,1,4,4,2,4,4,2,1,2,2,6,6,6,12,10,6,9,6,1,4,12,9,2,12,1,1,4,4,1,4,4,
4,2,4,1,2,6,2,1,2,6,2,1,2,2,4,1,4,1,1,1,2,2,1,2,2,1,6,1,1,6,2,2,1,2,2,2,2,1,1,
2,1],[1,8,8,1,12,3,15,1,2,4,2,4,8,5,12,6,5,4,3,10,22,21,4,4,4,4,4,2,4,8,3,6,2,
2,5,18,12,30,2,12,4,12,2,1,2,1,4,5,4,1,4,6,6,4,6,1,4,2,4,6,2,2,1,2,2,2,2,4,2,
1,1,6,2,6,16,5,2,3,5,6,8,9,1,4,9,4,3,18,3,2,4,3,2,8,6,2,8,4,2,4,12,8,6,24,2,4,
4,2,4,4,2,8,4,4,6,8,6,6,2,6,2,3,3,2,4,4,24,2,1,2,1,2,1,2,2,1,1,2,2,2,2,2,2,2,
2,4,1,2,3,3,2,2,6,2,2,2,4,1,2,2,2,2,4,3,2,4,2,2,2,2,1,2,2,1,2,2,2,2,2,1,2,2,2,
2,4,3,3,1,2,1,2,3,6,1,2,8,2,1,5,4,3,1,4,2,2,2,6,2,8,2,6,4,2,6,2,2,2,2,2,4,4,4,
2,2,2,1,2,2,2,1,2,1,1,1,1,1,2,2,2,2,1,2,2,3,1,1,3,1,2,1,2,1,2,1,2,2,1,1,2,1,1,
1,1,1,2,1,1,1,1,3,1,1,2,1,4,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,10,1,10,
17,17,2,4,4,10,6,12,4,11,26,22,26,17,11,52,18,54,14,14,4,2,4,6,6,4,4,1,4,4,4,
4,4,2,4,4,11,26,18,18,3,4,2,11,11,3,3,20,20,44,18,14,22,6,20,20,2,10,14,14,10,
28,14,20,2,6,4,2,4,6,2,1,2,6,2,1,4,2,4,3,3,2,2,1,2,2,11,3,20,9,2,3,3,12,1,10,
6,10,6,20,6,6,12,2,10,14,2,10,12,20,10,6,12,6,2,1,2,1,2,1,2,2,2,3,1,1,1,3,1,1,
1,2,2,10,6,6,6,6,6,2,6,2,2,1,1,1,2,2,1,1,1,1,2,2,1],[1,10,1,10,9,9,2,4,4,10,6,
12,4,11,18,16,22,18,9,11,36,6,18,2,2,4,2,4,6,6,4,4,1,4,4,4,4,4,2,4,4,11,18,8,
18,18,3,4,2,9,8,9,1,1,4,4,36,8,6,2,18,2,4,4,8,4,2,4,6,2,1,2,6,2,1,4,2,4,1,4,1,
2,2,1,2,2,9,4,1,4,9,2,1,4,1,4,1,4,4,4,2,1,2,1,2,1,2,1,2,1,2,2,2,1,1,2,2,1,2,1,
1,2,1],[1,10,1,10,9,25,2,4,4,10,6,12,4,11,18,22,34,9,8,11,36,16,6,42,2,26,24,
4,2,4,6,6,4,4,1,4,4,4,4,4,2,4,4,11,18,8,18,18,3,4,2,9,13,1,5,4,36,36,8,6,12,2,
12,18,2,2,2,4,4,4,16,16,4,12,24,4,12,14,14,8,20,4,2,2,4,2,4,6,2,1,2,6,2,1,4,2,
4,1,5,2,2,1,2,2,9,2,1,2,4,16,9,2,1,1,4,4,4,4,1,12,12,8,20,4,8,6,6,2,6,12,2,4,
2,6,12,12,6,4,4,4,4,4,2,2,4,4,4,4,2,1,2,1,2,1,2,4,1,2,1,2,2,2,1,1,4,6,6,4,2,4,
6,6,1,1,1,1,2,4,4,2,2,1,2,2,1,1,1,1,2,2,1,1,1],[1,10,1,10,9,9,2,4,4,10,6,12,4,
11,18,22,18,9,11,36,16,6,18,2,2,4,2,4,6,6,4,4,1,4,4,4,4,4,2,4,4,11,18,8,18,18,
3,4,2,9,9,1,1,4,4,36,8,6,2,18,8,2,4,4,8,4,2,4,6,2,1,2,6,2,1,4,2,4,1,1,2,2,1,2,
2,9,4,1,4,9,2,1,1,4,8,1,4,4,4,2,1,2,1,2,1,2,1,2,1,2,1,1,2,2,2,2,1,2,1,1,2,1],[
1,6,3,18,13,39,2,18,18,9,18,54,54,1,18,39,39,12,27,108,54,108,12,108,6,18,72,
6,6,18,6,18,27,54,54,54,54,54,108,9,27,6,18,108,36,108,13,27,108,36,108,18,18,
108,54,27,27,18,18,18,18,216,1,3,6,21,9,36,18,42,18,18,18,18,2,18,18,1,18,12,
9,18,54,54,27,27,18,18,108,27,54,108,3,3,9,9,18,18,12,6,54,18,18,3,9,18,21,9,
36,18,18,36,9,18,18,9,9,18,18,9,18,18,18,18,6,3,18,1,3,9,6,27,9,9,9,9,18,9,9,
9,9,1,3,6,9,18,18,9,6,18,1,3,3,3,3,9,9,1],[1,6,1,14,13,21,2,6,6,8,8,9,18,18,
18,4,13,4,8,13,52,4,16,12,48,6,22,12,2,8,6,6,4,4,9,18,8,18,18,2,8,4,8,4,4,9,9,
2,6,18,36,2,8,12,6,6,8,2,22,2,2,4,6,18,10,14,14,8,1,3,6,9,13,28,6,6,8,8,10,14,
4,2,2,4,6,4,4,1,6,4,1,4,2,9,1,6,6,4,4,9,4,2,2,4,2,2,2,2,3,3,9,9,6,6,4,2,2,2,2,
6,2,1,3,6,1,5,8,2,2,8,2,2,7,6,10,3,5,6,10,5,6,2,6,2,4,4,4,2,2,8,4,8,4,2,1,2,2,
4,1,3,1,2,1,3,3,3,3,2,2,3,3,3,3,2,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,
2,1,1,1,1,1,1,1,1,1,1,1],[1,6,16,3,18,5,15,4,4,8,18,36,3,8,4,4,18,12,8,8,8,8,
8,1,18,8,15,15,4,24,9,24,18,24,4,2,18,2,6,12,8,2,8,4,8,8,4,12,1,8,12,4,4,8,4,
6,2,36,4,9,4,12,2,18,4,12,2,9,36,1,3,1,3,4,12,8,4,8,12,12,4,8,8,4,8,8,16,4,16,
8,8,16,8,8,5,9,24,4,6,18,6,6,4,6,6,3,3,6,6,12,12,12,12,24,4,4,8,2,4,2,4,2,4,4,
4,2,4,2,8,4,4,3,4,12,4,1,3,4,4,2,4,4,2,2,8,3,4,4,2,2,4,4,2,9,4,2,3,3,3,3,12,
12,4,4,4,12,4,4,3,3,6,12,6,6,8,4,4,4,8,8,4,4,4,2,2,6,6,12,12,4,4,12,6,6,4,2,4,
2,2,2,4,2,2,1,2,2,4,2,2,1,4,2,4,3,3,2,2,1,2,2,1,1,4,4,2,1,4,3,3,12,1,4,4,4,4,
2,1,2,2,1,2,1,1,1,1,1,1],[1,6,16,1,14,5,13,4,4,8,6,4,12,8,3,8,4,4,14,8,8,8,8,
8,8,4,4,4,5,4,4,11,32,16,28,8,2,14,2,2,8,8,2,8,4,8,8,4,4,8,1,8,4,8,4,4,8,4,2,
4,6,12,3,4,4,2,4,6,2,4,8,4,8,12,3,8,4,4,1,1,1,1,4,4,8,4,8,12,4,8,4,8,8,4,8,8,
4,8,8,16,8,8,4,12,4,2,4,2,20,10,4,4,4,2,4,4,32,4,4,8,2,4,2,4,4,2,4,4,2,4,2,8,
4,4,1,4,4,4,4,8,1,1,4,4,2,4,4,2,2,8,2,4,4,2,2,4,6,4,4,2,1,2,1,4,4,4,4,4,4,4,4,
2,4,2,4,8,1,1,4,4,2,2,8,8,4,4,8,4,4,4,2,4,2,2,2,4,2,2,1,2,2,4,2,2,2,4,1,4,1,1,
2,2,2,2,1,2,2,1,2,4,1,2,2,4,2,2,2,1,2,2,2,2,1,1,2,1],[1,6,16,1,6,13,13,4,4,8,
6,12,3,8,12,4,6,12,8,8,8,8,8,13,3,24,14,42,6,6,8,2,8,4,8,8,4,4,1,8,4,4,4,8,4,
3,4,12,2,3,3,3,3,3,12,12,8,4,8,12,4,4,8,8,14,6,6,6,12,12,2,6,6,14,6,12,6,12,8,
2,6,4,4,8,2,4,4,4,2,4,2,8,1,4,3,3,2,2,2,3,3,12,4,3,3,12,6,6,12,6,4,6,12,4,4,8,
8,8,8,2,6,6,4,2,6,12,6,6,12,4,6,2,2,2,2,1,2,2,4,4,3,1,2,3,1,4,4,6,6,2,6,6,2,4,
4,4,4,1,2,2,2,4,1,1,2,1],[1,6,16,1,6,5,5,4,4,8,6,12,3,8,4,20,6,4,8,8,8,8,8,5,
3,8,2,6,10,10,8,2,8,4,8,8,4,4,1,8,4,4,4,8,4,3,4,4,10,3,1,8,1,1,1,4,4,8,4,8,4,
8,4,4,8,8,2,10,2,2,4,4,4,4,8,4,4,8,2,4,4,4,2,4,2,8,1,4,1,4,1,2,2,2,1,4,1,4,4,
1,4,1,4,2,2,4,4,4,4,2,2,2,2,1,2,2,1,2,2,1,1,2,1,2,2,1,2,2,1,1,1],[1,6,16,1,6,
5,21,4,4,8,6,12,3,8,4,4,6,20,8,8,8,8,8,5,8,3,8,16,2,30,2,10,24,8,2,8,4,8,8,4,
4,1,8,4,4,4,8,4,3,4,4,2,8,3,1,5,1,5,4,20,8,4,8,4,8,4,4,8,8,2,12,2,4,2,2,2,2,4,
4,4,8,8,4,4,8,4,12,6,6,8,12,4,8,2,2,4,4,8,2,4,4,4,2,4,2,8,1,4,1,5,2,2,2,1,2,1,
2,4,8,4,1,1,4,4,4,4,4,8,12,4,8,6,6,4,4,4,8,8,8,8,2,2,4,2,4,4,2,2,4,2,4,4,4,4,
4,2,2,4,4,4,4,4,2,2,2,2,1,2,2,4,4,1,2,2,2,2,1,4,4,2,4,2,2,4,1,1,2,2,4,4,4,4,4,
4,1,4,2,2,2,1,1,2,1],[1,6,16,1,6,5,5,4,4,8,6,12,3,8,4,4,6,4,8,8,8,8,8,5,3,8,
16,2,6,2,18,8,2,8,4,8,8,4,4,1,8,4,4,4,8,4,3,4,4,2,8,3,1,1,1,1,4,4,8,4,8,4,8,4,
4,8,8,2,2,8,2,8,2,4,4,8,8,4,4,8,2,4,4,4,2,4,2,8,1,4,1,1,2,2,2,1,4,1,4,4,1,1,4,
8,4,4,4,4,4,2,2,2,2,1,2,2,1,2,2,1,2,2,1,1,2,1,2,2,1,1,1],[1,2,3,6,5,15,4,6,1,
4,6,1,6,15,15,4,3,6,4,2,18,4,12,12,2,4,4,2,2,3,2,6,2,1,3,2,6,4,5,3,6,18,12,12,
4,6,6,6,6,6,6,2,1,6,6,3,3,3,12,12,4,1,9,4,3,3,2,2,2,2,2,1,2,2,2,3,3,6,6,1,2,3,
6,3,3,2,2,4,6,6,6,6,3,6,6,3,12,2,2,3,9,4,3,6,2,3,6,3,3,2,6,6,6,6,2,1,2,2,2,2,
2,1,2,1,3,1,3,1,6,2,1,2,1,3,6,2,3,2,2,2,2,1,1,1,1,1,1,1,1],[1,2,1,10,5,21,4,2,
8,1,4,2,8,4,8,5,8,8,5,16,4,24,2,30,4,8,24,2,4,4,4,4,1,2,4,4,2,4,2,1,1,2,6,4,2,
8,4,2,12,4,2,2,4,3,3,6,4,6,14,10,10,8,2,1,4,2,6,7,12,5,5,12,8,4,1,5,4,1,1,4,2,
4,2,2,1,4,2,1,1,2,2,4,2,2,4,2,2,4,4,1,2,3,2,1,1,2,2,2,2,6,4,2,1,2,2,3,4,2,2,1,
1,4,4,4,4,4,2,4,2,4,8,4,8,1,6,2,5,6,3,3,2,2,6,2,6,2,1,2,2,2,2,2,1,2,1,2,1,1,1,
1,2,2,2,2,2,2,2,2,2,2,2,2,1,4,1,1,2,2,1,1,1,1,1,1,1,1,1],[1,6,3,18,13,39,4,18,
36,3,12,18,36,1,18,39,39,24,9,72,18,72,14,126,6,18,84,12,1,12,6,36,9,36,18,36,
9,36,3,9,3,9,12,36,36,36,13,9,72,42,126,18,18,6,18,9,9,18,18,36,36,36,36,72,2,
6,6,42,18,36,18,84,18,18,36,36,2,18,6,6,4,3,12,3,9,3,12,9,9,9,9,9,36,36,36,9,
9,18,36,18,18,6,18,36,36,6,18,36,18,18,14,6,18,18,36,36,6,18,18,42,18,36,18,
36,6,18,36,18,18,18,36,18,18,36,18,36,36,36,36,18,36,18,36,18,18,36,36,36,36,
1,9,9,1,9,6,3,3,12,9,9,36,18,18,36,18,18,36,18,9,9,18,18,36,36,2,6,6,2,18,36,
18,18,36,18,12,18,36,18,6,6,3,3,9,6,6,18,18,1],[1,6,3,18,5,15,4,18,36,3,4,16,
18,12,1,18,15,15,24,9,24,18,24,16,2,18,2,6,12,12,1,12,6,36,9,12,8,18,12,8,9,
36,1,8,3,1,3,4,12,12,8,12,8,5,9,24,6,18,6,6,6,6,3,8,3,6,6,12,12,12,12,24,4,3,
12,1,4,3,3,4,8,9,3,4,3,4,3,3,12,12,12,8,3,4,3,6,12,6,8,6,16,2,2,6,6,12,12,12,
6,6,1,3,2,3,2,2,2,1,4,1,4,3,4,3,12,2,4,4,2,1,2,1,1,2,1],[1,6,3,18,5,15,4,18,
36,3,4,18,12,1,18,15,15,24,9,24,18,24,2,18,10,30,12,12,1,12,6,36,9,12,18,12,9,
36,1,3,1,3,4,12,12,12,5,9,24,6,18,30,30,6,6,3,3,6,6,12,12,12,12,24,4,12,24,24,
4,3,12,1,3,3,4,9,3,3,3,3,12,12,12,3,3,6,12,6,6,2,6,2,10,6,6,12,12,12,12,24,12,
6,6,12,12,1,3,3,1,3,1,1,4,3,3,12,6,6,6,3,3,4,12,1,3,3,2,6,1],[1,6,3,18,5,15,4,
18,36,3,4,18,12,1,18,15,15,24,9,24,18,24,2,18,2,6,12,12,1,12,6,36,9,12,18,12,
9,36,1,3,1,3,4,12,12,12,5,9,24,6,18,6,6,6,6,3,3,6,6,12,12,12,12,24,8,8,4,3,12,
1,3,3,4,9,3,3,3,3,12,12,12,3,3,6,12,6,6,4,4,2,2,6,6,12,12,4,4,12,6,6,4,4,1,3,
3,2,2,1,1,4,3,3,12,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,6,1,14,13,21,4,6,4,12,8,3,
12,14,16,4,13,4,4,11,48,16,28,14,50,6,22,8,4,8,1,4,8,2,4,3,12,4,2,8,4,8,12,3,
8,4,4,3,3,3,3,12,12,20,4,8,4,12,14,4,6,8,20,14,4,4,6,28,12,8,8,32,2,6,6,14,14,
28,6,8,8,12,8,2,6,4,1,4,4,8,3,3,2,4,2,3,3,12,4,4,2,4,2,4,8,3,3,12,2,2,6,6,4,
12,6,6,12,4,8,2,6,6,4,8,2,4,14,8,12,6,4,12,4,8,8,6,12,6,2,3,2,2,1,3,2,1,2,1,6,
2,6,2,2,4,2,2,6,1,1,6,4,2,2,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,6,1,14,5,13,4,6,4,
12,8,3,4,16,14,8,4,5,4,4,11,32,16,28,2,14,2,2,8,4,8,1,4,8,2,4,3,4,8,4,2,8,4,8,
12,3,8,4,4,1,8,1,1,1,4,4,12,8,4,8,4,12,2,4,2,20,10,4,4,2,4,4,32,8,4,1,4,4,8,1,
4,1,2,4,2,1,4,1,4,4,4,2,4,2,4,8,1,4,1,4,2,2,4,4,4,4,4,2,1,2,2,2,2,2,2,1,2,1,2,
2,2,2,1,1,1,4,1],[1,6,1,14,5,29,4,6,4,12,8,3,4,14,24,4,5,12,4,11,32,16,44,2,
38,10,18,32,4,8,1,4,8,2,4,3,4,4,10,8,4,8,12,3,8,4,4,1,5,1,5,4,20,12,4,16,4,12,
2,16,10,4,20,10,6,6,2,4,4,20,16,16,32,4,4,8,8,20,12,14,14,16,12,4,2,2,4,1,4,4,
8,1,5,2,4,2,1,2,1,2,4,8,4,4,2,4,2,4,8,1,1,4,4,4,4,2,2,2,4,2,8,12,4,8,6,6,4,8,
4,2,2,4,10,4,2,4,12,8,6,8,4,6,4,12,4,12,4,2,2,4,4,4,4,2,1,2,2,2,1,2,1,2,1,2,1,
2,2,4,2,4,2,2,4,2,2,2,1,1,2,4,4,4,2,2,4,4,8,1,1,1,2,2,2,2,2,2,1],[1,6,1,14,5,
13,4,6,4,12,8,3,4,14,8,4,5,4,4,11,32,16,28,16,2,14,2,2,8,4,8,1,4,8,2,4,3,4,4,
2,8,8,4,8,12,3,8,4,4,1,1,1,1,4,4,12,4,8,8,4,12,2,4,2,20,10,4,8,4,2,4,4,32,8,4,
1,4,4,8,1,1,2,4,2,1,4,1,4,4,4,2,4,2,4,8,1,1,4,8,2,2,4,4,4,4,4,2,1,2,2,2,2,1,2,
1,2,2,2,2,2,2,1,1,1,4,1],[1,6,1,6,13,13,4,6,12,3,12,6,12,8,13,4,3,24,4,14,42,
6,6,4,1,4,2,4,3,12,4,2,3,3,3,3,3,12,12,12,4,4,14,6,4,6,6,12,12,2,6,6,14,6,12,
6,12,2,6,8,4,1,4,3,3,2,4,2,3,3,12,4,3,3,12,6,6,12,6,6,12,4,4,2,6,6,4,2,4,6,12,
6,6,12,6,4,2,3,1,3,2,2,1,1,6,6,2,6,2,6,4,4,4,4,1,1,1,2,2,1],[1,6,1,6,5,5,4,6,
12,3,4,16,6,4,8,5,4,3,8,4,2,6,2,18,4,1,4,2,4,3,4,8,4,2,3,1,8,1,1,1,4,4,4,8,4,
4,2,2,8,4,2,2,4,4,8,8,4,1,4,1,4,1,2,4,2,1,4,1,4,4,1,4,1,4,4,4,4,4,4,2,1,2,2,2,
2,2,1,1,2,1,1,1,1,1,1],[1,6,1,6,5,5,4,6,12,3,4,6,4,8,5,4,3,8,20,2,6,10,10,4,1,
4,2,4,3,4,4,10,3,1,1,1,1,4,4,4,8,4,4,2,10,4,2,8,2,4,4,4,4,8,4,1,4,1,1,2,4,2,1,
4,1,4,4,1,1,4,8,2,2,4,4,4,4,2,1,2,1,1,2,1,1,2,2,2,2,1,1,1,1],[1,6,1,6,5,21,4,
6,12,3,4,6,20,8,5,8,4,3,8,16,4,2,30,2,10,24,4,1,4,2,4,3,4,4,8,2,3,1,5,1,5,4,
20,4,8,4,4,2,12,2,4,4,2,2,2,2,4,4,4,8,8,4,4,8,4,12,6,6,8,12,8,4,2,2,4,1,4,1,5,
2,4,2,1,2,1,2,4,8,4,1,1,4,4,4,4,4,8,12,4,4,8,6,6,4,2,2,4,2,4,4,2,4,2,4,2,4,4,
4,4,4,4,2,2,4,4,4,4,2,1,2,2,2,2,2,1,1,2,4,2,2,4,1,1,2,2,4,4,4,4,4,4,1,1,1,2,2,
1],[1,6,1,6,13,13,4,6,12,3,12,6,12,4,4,13,3,24,24,14,42,6,6,4,1,4,6,12,3,12,6,
12,3,3,3,3,3,12,12,12,12,4,14,6,6,12,6,12,12,2,6,6,14,6,12,6,12,2,6,4,1,4,3,3,
6,12,3,6,3,12,12,3,3,12,12,6,6,12,6,6,12,2,6,6,2,6,12,6,6,12,6,1,3,3,1,3,6,6,
6,6,6,6,6,6,3,1,3,1],[1,6,1,6,5,21,4,6,12,3,4,16,6,20,4,4,5,8,3,8,16,8,2,30,2,
10,24,4,1,4,6,12,3,4,8,6,8,4,3,1,8,5,1,5,4,20,4,8,8,4,4,2,12,2,4,2,2,4,2,2,4,
4,4,8,8,4,4,8,4,12,6,6,8,12,4,2,2,4,1,4,1,4,5,6,4,8,1,4,2,2,1,2,4,8,4,8,1,4,1,
4,4,4,4,4,4,8,12,4,8,6,6,2,2,4,2,4,2,2,4,2,4,4,4,4,4,2,2,4,4,4,4,1,1,2,2,1,2,
2,2,2,2,4,2,4,2,4,2,4,1,1,4,4,2,4,4,1,2,1,1,2,1],[1,6,1,6,5,5,4,6,12,3,4,6,4,
4,4,5,3,8,8,2,6,10,10,4,1,4,6,12,3,4,6,4,3,1,1,1,1,4,4,4,4,4,2,10,2,4,2,4,4,4,
4,8,8,4,1,4,1,1,6,4,1,2,1,4,4,1,1,4,4,2,2,4,4,4,4,4,1,1,1,1,1,2,2,2,2,2,2,2,1,
1,1,1],[1,6,1,6,5,5,4,6,12,3,4,6,4,4,4,5,3,8,8,2,6,2,18,4,1,4,6,12,3,4,6,4,3,
1,1,1,1,4,4,4,4,4,2,2,8,2,4,2,4,4,8,8,8,4,1,4,1,1,6,4,1,2,1,4,4,1,1,4,4,4,4,4,
4,4,4,1,1,1,2,2,2,2,2,2,1,1,2,1,1,1,1],[1,2,3,6,9,27,4,6,12,1,4,6,12,1,6,27,
27,3,24,6,24,8,72,6,18,48,12,2,12,2,12,3,12,6,12,6,12,1,3,2,6,12,12,9,3,24,24,
72,18,18,6,3,3,6,6,6,6,24,1,3,2,21,9,12,6,42,6,6,18,18,4,6,12,1,6,1,4,6,3,3,6,
6,12,3,6,1,1,3,3,6,6,8,6,6,6,6,3,9,6,21,9,12,6,18,3,6,6,3,3,6,6,3,6,6,6,6,2,3,
6,1,3,1,2,3,3,3,3,3,6,3,3,3,3,1,3,2,3,6,6,3,1,3,3,1,1,3,3,1],[1,2,1,18,9,25,4,
2,4,8,4,1,4,10,8,8,9,8,4,8,13,48,20,44,8,44,6,22,20,4,8,2,8,4,2,4,1,4,4,2,8,4,
8,12,2,4,8,2,1,1,2,2,6,12,4,8,6,20,8,10,6,8,20,2,14,6,6,4,6,22,14,18,18,40,1,
3,2,9,13,20,10,6,12,12,10,14,4,2,2,4,2,4,4,8,1,4,2,2,4,1,1,1,2,2,4,4,2,2,4,8,
2,2,4,2,2,1,1,1,3,3,2,2,4,2,2,6,2,10,6,1,3,2,1,5,8,4,2,2,4,8,2,2,9,10,6,5,7,
10,6,7,10,6,10,6,4,4,4,2,2,8,4,8,4,2,1,2,2,4,1,3,1,1,2,1,1,1,1,2,2,2,2,2,2,2,
2,1,1,1,1,2,2,1,1,1,1,4,4,2,2,2,2,2,6,2,2,2,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1],[
1,2,16,3,6,5,15,8,6,1,8,6,8,8,8,8,8,1,6,8,15,15,3,6,2,18,4,12,12,4,4,4,2,4,3,
4,6,4,1,3,2,6,4,8,8,4,8,8,4,8,8,5,3,4,6,18,12,12,6,6,6,6,6,6,2,1,6,6,3,3,3,12,
12,4,1,9,4,3,3,4,2,4,2,2,1,4,2,3,3,6,6,4,1,2,3,6,3,3,2,4,4,4,8,4,4,4,4,4,4,4,
4,4,2,4,6,6,6,4,6,3,6,6,3,12,2,2,3,9,3,6,2,3,6,3,3,2,6,6,6,6,2,1,2,2,2,2,2,1,
2,1,3,1,3,1,6,4,4,2,2,2,2,2,2,2,2,2,1,2,1,3,6,2,3,2,2,2,2,1,1,1,1,1,1,1,2,2,2,
2,1],[1,2,16,1,10,5,21,8,2,8,1,8,2,8,8,8,8,8,8,4,5,8,4,8,5,16,4,24,4,2,30,4,8,
24,4,4,4,2,4,1,4,4,2,2,4,2,1,1,2,6,4,4,4,4,16,4,16,8,8,16,8,8,2,8,2,12,4,2,4,
2,4,3,3,6,4,6,14,10,10,8,2,1,4,2,6,7,12,5,5,12,8,4,1,5,4,1,1,4,2,4,2,2,8,2,4,
1,1,1,2,2,4,2,2,4,2,2,8,4,4,1,2,3,2,1,1,2,4,8,4,4,4,4,4,4,4,4,4,4,4,2,2,2,6,2,
1,2,2,3,4,2,2,1,1,4,4,4,4,4,4,2,4,2,4,8,4,8,1,6,2,5,6,3,3,2,2,6,2,6,2,1,2,2,2,
2,2,1,1,2,2,1,1,1,1,2,2,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,1,4,1,1,2,2,1,
1,1,1,1,1,1,1,2,2,2,2,1],[1,8,3,3,9,2,2,6,4,6,9,1,9,4,10,4,2,1,6,3,3,9,6,3,4,
6,3,3,1,6,2,5,2,6,2,1,3,2,3,5,1,9,9,2,2,3,2,2,1,3,3,3,1,5,1,6,2,1,1,1,1,3,3,2,
1,2,1,3,1,1,3,1,3,1,1,1,1,1,1,1,1,1],[1,14,15,18,1,15,2,2,30,54,7,30,54,9,15,
27,9,16,4,4,8,2,8,6,12,6,6,2,6,12,18,15,54,27,9,1,12,16,8,16,24,12,24,2,12,12,
2,12,12,8,6,12,6,6,6,6,6,9,2,4,2,1,1,1,2,2,6,12,12,8,24,12,6,6,6,4,1,4,2,2,2,
2,2,4,4,2,1,2,1,1,1,6,2,2,4,1,2,1,2,1,1],[1,8,3,1,27,2,2,6,4,6,3,18,12,3,9,18,
10,4,2,1,2,15,3,9,2,12,3,12,18,9,9,1,6,2,5,2,6,2,1,1,6,7,3,1,3,3,6,6,12,6,6,9,
2,2,1,1,2,3,3,1,4,3,9,6,3,3,3,3,3,3,2,1,2,1,1,2,1,1,1,1,2,3,3,1,1,1,1,1,1,1,
1],[1,7,15,15,6,2,2,15,27,6,9,9,9,9,9,18,8,2,2,8,6,6,6,6,2,6,6,2,9,9,9,9,9,9,
9,1,6,8,12,6,6,2,6,6,6,6,6,6,9,1,2,2,1,2,1,2,6,6,2,1,2,1,2,1,1,1,1,1,2,1,1,1,
1,1,1,1,1],[1,7,15,15,6,2,2,15,27,6,9,9,9,9,9,18,8,2,2,8,6,6,6,6,2,6,6,2,9,9,
9,9,9,9,9,1,6,8,12,6,6,2,6,6,6,6,6,6,9,1,2,2,1,2,1,2,6,6,2,1,2,1,2,1,1,1,1,1,
2,1,1,1,1,1,1,1,1],[1,2,9,18,3,27,2,2,18,1,18,27,9,1,27,1,9,4,4,6,6,18,12,6,6,
18,12,9,1,9,9,9,9,9,1,2,12,12,2,12,12,18,2,18,2,6,6,18,2,18,6,6,2,9,2,1,3,3,2,
2,6,6,2,6,6,6,6,6,6,6,6,6,6,1,2,2,3,1,3,1,1,1,6,6,1,1,1,1,1,1,1,1],[1,2,6,3,3,
9,2,2,1,6,6,3,1,1,3,9,9,4,4,6,6,2,6,3,1,9,3,1,3,3,3,3,3,3,1,2,2,6,6,2,2,2,2,3,
1,2,3,1,9,3,9,3,2,3,2,2,3,1,3,2,2,3,3,1,1,3,3,1,1,3,1,3,1,1,2,2,1,1,1,3,3,1,3,
1,1,1,1,1,1,1,1,1],[1,2,9,18,1,21,2,2,18,1,18,9,18,9,6,6,18,4,4,6,2,10,12,12,
6,2,6,12,9,6,9,9,18,1,2,12,12,2,12,12,6,12,2,6,2,6,6,12,6,6,9,2,1,1,1,2,4,2,6,
6,6,6,6,6,6,1,2,2,1,2,2,1,2,2,6,2,1,1,1,2,1],[1,2,9,30,1,9,6,6,2,2,18,1,18,12,
12,18,9,9,9,15,18,36,36,6,18,4,4,6,2,6,12,12,6,4,2,6,12,6,2,6,2,9,18,18,6,36,
9,9,18,1,2,12,12,2,12,12,12,12,4,4,6,6,12,6,12,12,12,6,6,6,2,12,12,6,6,2,6,6,
9,2,1,4,1,1,2,2,2,6,6,6,2,12,12,12,12,6,6,6,6,1,2,2,4,4,2,1,1,1,2,2,4,4,1,2,2,
6,1,2,2,2,4,1,1,2,1],[1,2,9,18,1,9,2,2,18,1,18,9,9,9,18,9,4,4,6,2,6,12,6,2,6,
12,9,18,18,9,9,1,2,12,12,2,12,12,6,6,6,6,9,2,1,1,1,2,6,6,1,2,2,1,1,1,2,1,1,2,
2,1,1,1],[1,2,9,18,1,9,12,2,2,18,1,18,9,18,9,6,6,18,4,4,6,2,6,12,6,2,6,12,12,
4,9,6,9,9,18,1,2,12,12,2,12,12,6,6,6,12,6,2,6,6,2,12,9,2,1,1,1,2,4,6,6,6,2,6,
6,6,6,1,2,2,1,2,2,1,2,2,6,1,2,1,1,2,1],[1,2,9,18,1,9,2,2,18,1,18,9,18,9,18,4,
4,6,2,6,12,6,2,6,12,9,9,9,1,2,12,12,2,12,12,6,6,6,6,9,2,1,1,1,2,6,6,1,2,2,1,2,
1,2,1,1,1,1],[1,2,6,1,18,3,9,2,2,1,6,6,3,9,12,3,3,18,18,4,4,2,12,6,2,2,12,3,1,
9,3,9,3,3,9,9,9,9,1,2,2,6,6,2,2,6,6,3,1,6,3,1,3,1,6,3,1,6,6,12,9,2,2,1,2,1,3,
6,3,3,6,1,1,3,3,3,3,3,3,3,3,1,2,2,1,1,1,1,1,1,2,2,3,3,1,1,1,1,1,1,1,1],[1,7,9,
15,6,6,2,2,9,9,6,18,6,9,9,9,9,9,18,8,2,2,6,2,6,6,6,6,2,6,6,2,9,9,9,9,9,9,9,1,
6,2,6,6,6,6,6,2,6,6,6,6,6,6,9,1,2,1,2,1,2,2,6,6,2,1,2,1,2,1,1,1,1,1,2,1,1,1,1,
1,1,1,1],[1,7,9,15,6,6,2,2,9,9,6,18,6,9,9,9,9,9,18,8,2,2,6,2,6,6,6,6,2,6,6,2,
9,9,9,9,9,9,9,1,6,2,6,6,6,6,6,2,6,6,6,6,6,6,9,1,2,1,2,1,2,2,6,6,2,1,2,1,2,1,1,
1,1,1,2,1,1,1,1,1,1,1,1],[1,12,9,12,1,9,2,2,18,6,18,9,18,9,9,6,18,12,4,6,2,6,
12,6,4,2,6,18,9,18,9,9,1,12,6,12,2,6,12,6,12,6,2,9,4,1,4,1,1,6,6,2,2,2,1,2,1,
1,2,2,2,1,2,1,1,1],[1,12,9,3,27,2,2,18,6,18,27,1,27,6,12,4,6,6,18,6,6,18,9,6,
18,9,9,1,12,6,12,2,18,2,18,6,2,18,2,18,9,4,1,3,3,6,6,6,2,6,6,6,6,2,2,2,3,1,3,
2,6,1,2,2,1,1,1],[1,12,9,1,9,2,2,18,6,18,9,18,6,12,4,6,2,6,6,2,6,9,9,9,1,12,6,
12,2,6,6,6,2,9,4,1,1,1,6,6,2,2,2,1,2,2,1,1,1,1],[1,12,9,1,9,6,6,2,2,18,6,18,9,
9,18,9,6,18,12,4,6,2,6,6,2,6,6,2,6,2,9,18,18,9,9,1,12,6,12,2,6,6,6,6,6,2,6,6,
9,4,1,1,1,2,2,6,6,2,2,2,1,1,2,1,2,2,1,2,2,1,1,1],[1,12,9,1,21,2,2,18,6,18,9,
18,6,1,9,18,12,4,6,2,10,12,6,2,6,9,6,18,9,9,1,12,6,12,2,6,12,2,2,6,6,12,6,6,2,
9,4,1,1,1,4,6,6,6,2,6,6,6,6,2,2,2,1,2,2,1,1,2,6,1,2,2,1,1,1],[1,12,9,1,9,12,2,
2,18,6,18,9,18,6,18,18,12,4,6,2,6,6,2,6,12,4,9,36,9,9,1,12,6,12,2,6,6,12,6,2,
12,9,4,1,1,1,4,6,6,2,2,2,1,2,2,2,2,1,4,1,1,1],[1,6,3,18,3,9,2,2,18,3,18,9,9,1,
9,3,9,6,2,1,6,3,3,12,9,6,12,9,3,9,3,9,9,9,1,3,6,6,1,6,6,3,2,3,3,1,9,6,9,6,2,6,
6,9,2,1,3,2,3,3,3,3,1,3,3,1,3,3,6,3,3,3,6,1,2,2,3,1,1,1,3,1,3,3,1,1,1,1,1,1,1,
1],[1,6,3,18,1,27,2,2,18,3,18,3,18,9,12,4,18,6,2,1,2,15,3,12,9,2,12,12,9,12,9,
3,18,1,3,6,6,1,6,6,1,6,7,5,1,3,6,3,6,12,6,6,2,9,2,1,1,2,2,3,3,3,3,4,3,1,3,3,9,
3,3,6,1,2,2,1,2,1,1,1,1,1,2,3,3,1,1,1,1,1,1,1,1],[1,6,3,18,1,3,5,8,18,3,18,1,
18,3,3,9,18,24,2,5,3,6,3,8,6,9,18,1,9,4,12,1,6,6,3,3,1,6,3,6,1,2,3,8,4,6,3,2,
6,1,3,1,2,4,1,3,1,2,1,1],[1,9,21,9,5,8,21,27,1,3,9,9,9,18,5,18,3,3,24,3,9,9,3,
9,9,9,4,3,18,6,3,3,1,3,3,3,1,2,9,8,4,3,3,3,3,1,3,3,3,1,3,6,4,1,3,3,1,1,1,1],[
1,9,3,9,18,5,8,3,9,18,18,1,3,9,9,9,18,5,18,3,3,24,3,9,9,3,9,9,9,4,3,18,6,3,3,
1,3,3,3,1,2,9,8,4,3,3,3,3,1,3,3,3,1,3,6,4,1,3,3,1,1,1,1],[1,15,9,27,1,1,2,21,
45,1,3,3,3,27,6,3,2,3,9,9,6,5,9,6,18,3,9,9,9,9,3,9,1,3,6,6,9,1,1,9,1,3,1,2,7,
1,3,15,3,9,18,18,9,1,2,2,3,3,3,3,3,3,3,1,3,1,3,3,6,3,3,3,3,2,3,1,2,1,1,3,1,1,
3,3,1,1,1,1,1,1,1,1],[1,24,3,3,9,1,4,8,18,12,18,9,1,9,12,6,6,1,3,3,12,16,24,9,
12,18,3,9,4,6,3,6,3,3,1,3,3,3,12,1,2,9,4,4,4,3,3,3,3,3,1,3,3,4,6,4,1,3,3,1,1,
1,1],[1,7,3,21,1,4,8,3,21,27,1,21,18,2,3,6,1,3,28,8,9,7,27,4,6,1,6,1,6,3,3,3,
6,12,1,2,3,8,4,2,3,6,1,3,7,2,4,1,1,3,2,1,1],[1,6,3,18,3,9,1,4,8,18,3,18,9,9,1,
9,3,9,6,1,3,3,6,12,4,12,24,9,3,9,3,9,9,9,4,3,6,6,3,1,3,3,3,3,12,1,2,9,4,4,4,3,
3,3,1,3,3,3,3,1,3,6,4,1,3,3,1,1,1,1],[1,15,3,45,2,2,9,45,81,1,45,54,8,6,24,6,
18,6,6,18,27,15,81,1,24,6,36,2,24,18,18,18,36,18,2,18,9,2,1,3,3,6,8,18,36,6,
18,6,6,1,6,3,3,1,3,6,6,6,2,3,6,1,3,1],[1,6,3,18,3,9,1,4,8,18,3,18,9,9,1,9,3,9,
6,1,3,3,6,12,4,12,24,9,3,9,3,9,9,9,4,3,6,6,3,1,3,3,3,3,12,1,2,9,4,4,4,3,3,3,1,
3,3,3,3,1,3,6,4,1,3,3,1,1,1,1],[1,15,1,15,2,2,9,15,27,7,9,8,2,8,6,6,6,2,6,9,
15,27,1,8,6,12,8,2,6,6,6,6,6,2,9,2,1,1,1,2,8,6,12,6,6,6,2,1,2,1,1,2,1,1,6,2,1,
2,1,1,1],[1,15,1,15,6,6,2,2,9,9,15,27,9,9,9,6,18,8,2,8,6,6,6,2,6,6,2,6,2,9,9,
9,9,9,9,9,1,8,6,12,6,6,6,6,6,6,2,6,6,9,2,1,1,1,2,2,2,6,6,2,1,2,1,1,1,1,1,1,2,
2,1,1,1,1,1,1,1,1],[1,15,12,1,15,2,2,9,18,15,27,18,6,18,8,2,8,6,6,12,6,4,2,6,
9,18,9,18,9,1,8,6,12,6,6,12,6,12,6,2,9,2,1,4,1,1,2,6,6,2,1,2,2,1,2,1,2,2,1,2,
1,2,1,1],[1,15,1,15,2,2,9,15,27,6,18,8,2,8,6,6,6,2,6,9,9,9,1,8,6,12,6,6,6,6,2,
9,2,1,1,1,2,6,6,2,1,2,1,1,2,2,1,1,1,1],[1,15,1,15,12,2,2,9,15,27,18,18,6,18,8,
2,8,6,6,6,2,6,12,4,9,18,9,9,18,1,8,6,12,6,6,6,12,6,2,12,9,2,1,1,1,2,4,6,6,2,1,
2,1,2,1,2,2,2,1,2,1,1,2,1],[1,9,3,27,2,2,9,27,27,1,27,6,6,18,6,6,18,27,9,27,1,
18,2,18,18,2,18,9,1,3,3,6,6,1,3,3,1,3,3,1,3,1],[1,9,1,9,2,2,9,9,9,6,6,6,2,6,6,
2,6,9,9,9,1,6,6,2,6,6,2,9,1,1,1,6,6,1,1,1,2,2,1,1,1,1],[1,9,1,21,12,2,2,9,9,
18,9,18,6,6,18,18,6,2,10,12,6,2,6,12,4,9,18,9,9,18,1,6,12,2,6,12,6,12,6,2,12,
9,1,1,1,4,4,6,6,1,1,1,2,2,2,2,2,2,1,2,1,1,2,1],[1,9,1,9,2,2,9,9,9,1,9,18,6,2,
6,6,2,6,9,9,9,1,6,2,6,6,6,2,9,1,1,1,6,6,1,1,1,1,1,2,1,1,1,1],[1,9,12,3,27,2,2,
18,27,6,18,1,27,6,6,6,18,12,6,4,6,18,9,9,9,6,18,1,18,2,18,12,6,12,18,2,2,18,6,
2,9,1,4,3,3,6,6,6,6,6,6,2,6,2,3,2,2,1,3,2,6,1,1,1,2,2,1],[1,9,12,1,9,2,2,18,9,
18,6,18,6,6,2,6,12,6,4,2,6,9,9,9,1,6,6,2,12,6,12,6,2,9,1,4,1,1,6,6,2,1,2,2,2,
2,1,1,1,1],[1,9,12,1,21,2,2,18,9,18,6,18,6,18,18,6,2,10,12,12,6,4,2,6,9,9,9,
36,1,6,12,2,6,12,12,6,12,6,2,9,1,4,1,1,4,6,6,2,1,2,2,2,2,2,2,1,1,1,4,1],[1,9,
12,1,9,12,2,2,18,9,18,6,18,1,9,6,18,6,2,6,12,6,4,2,6,12,4,9,9,9,18,6,1,6,2,6,
12,6,12,6,12,2,6,6,2,2,12,9,1,4,1,1,4,6,6,6,6,6,6,6,2,2,1,2,2,2,1,2,1,2,6,1,1,
1,2,2,1],[1,9,3,27,6,18,2,2,27,9,27,1,27,18,18,54,54,6,6,18,6,6,18,6,2,18,6,9,
27,27,6,54,1,18,2,18,18,6,18,2,18,18,6,18,6,18,18,36,9,1,3,3,2,6,6,6,18,18,6,
2,18,18,3,1,3,1,3,6,6,6,6,6,1,3,3,2,6,1],[1,9,3,27,2,2,27,18,1,27,18,6,6,18,6,
6,18,9,9,9,1,18,2,18,18,2,18,9,1,3,3,6,6,3,2,1,3,2,1,1,1,1],[1,9,1,9,6,6,2,2,
9,9,9,6,6,18,18,6,2,6,6,2,6,6,2,6,2,9,9,9,1,6,6,2,6,6,6,6,2,6,6,9,1,1,1,2,2,6,
6,1,1,1,2,2,2,2,1,1,1,1],[1,9,1,9,12,2,2,9,18,18,6,6,18,6,2,6,6,2,6,12,4,9,9,
9,1,6,6,2,6,12,6,2,12,9,1,1,1,4,6,6,1,2,2,2,2,2,1,1,1,1],[1,9,1,9,6,6,2,2,9,9,
9,1,15,6,18,6,2,6,6,2,6,6,2,6,2,9,9,9,6,18,1,6,2,6,6,6,6,6,2,6,2,6,2,6,6,9,1,
1,1,2,2,6,6,6,6,6,6,6,2,1,1,1,2,2,1,1,2,6,1,1,1,2,2,1],[1,9,1,21,2,2,9,18,18,
6,6,18,6,2,10,12,6,2,6,9,9,9,1,6,12,2,6,12,6,6,2,9,1,1,1,4,6,6,1,2,2,2,2,2,1,
1,1,1],[1,9,1,21,6,6,2,2,9,18,18,9,9,6,6,18,18,6,2,10,12,6,2,6,6,2,6,2,9,9,9,
18,18,1,6,12,2,6,12,6,6,6,6,2,6,6,9,1,1,1,2,4,2,6,6,1,2,1,2,1,2,2,2,2,1,1,1,2,
2,1],[1,9,1,9,2,2,9,18,18,1,9,6,2,6,6,2,6,9,9,9,1,6,2,6,6,6,2,9,1,1,1,6,6,1,2,
2,1,1,1,1,1,1],[1,24,3,3,9,2,2,12,18,18,1,12,9,9,6,12,6,2,6,12,3,1,9,3,12,9,
18,3,9,1,2,6,6,3,6,6,1,6,6,2,3,1,6,9,3,6,9,3,9,2,3,2,1,3,6,3,3,3,1,3,3,6,3,1,
3,3,3,3,1,2,2,1,1,1,3,1,3,3,3,1,1,1,1,1,1,1,1],[1,24,1,18,3,9,2,2,12,18,18,9,
1,3,3,3,18,18,2,12,12,6,2,2,12,12,3,1,9,3,9,9,9,9,3,9,3,1,6,2,6,3,6,6,1,6,6,6,
3,1,6,3,1,3,1,2,6,6,12,9,2,1,2,2,1,3,6,3,3,3,3,3,1,6,3,3,3,3,3,1,1,2,2,1,1,1,
1,1,1,2,2,3,3,1,1,1,1,1,1,1,1],[1,18,1,18,3,3,1,4,8,18,9,18,3,9,1,3,9,9,6,3,1,
6,3,4,8,12,12,24,24,9,9,9,1,9,9,9,4,3,6,6,1,3,3,3,3,3,12,24,1,2,9,4,4,4,3,3,3,
1,3,3,3,1,2,3,3,6,6,4,1,3,3,6,1,1,1,1],[1,12,1,3,3,1,4,8,6,6,6,3,1,3,6,12,3,1,
3,4,8,8,3,6,6,1,3,4,6,6,6,1,6,3,3,4,1,2,3,8,4,3,6,6,1,3,1,2,2,4,1,3,1,2,1,1],[
1,3,3,9,1,4,8,1,9,9,1,9,6,3,3,9,12,24,3,3,9,4,1,9,9,1,9,6,4,8,1,2,1,12,3,3,9,
3,6,4,1,1,1,2,3,1],[1,1,36,3,3,1,4,8,18,3,18,18,1,3,18,3,1,12,3,4,8,24,48,9,1,
9,18,18,4,1,3,6,3,6,6,6,12,24,1,2,9,4,8,1,6,3,3,6,1,2,6,12,4,1,3,3,6,1,2,1],[
1,1,3,3,1,4,8,3,3,9,1,3,3,1,3,4,8,9,1,9,4,1,3,3,3,1,12,1,2,3,4,1,3,3,1,2,4,1,
1,3,1,1],[1,1,3,3,1,4,8,6,3,1,3,6,3,1,3,4,8,3,1,3,4,1,3,3,6,6,4,1,2,3,4,1,3,3,
1,2,4,1,3,1,1,1],[1,3,3,9,5,8,1,9,9,1,9,6,15,3,9,24,3,3,9,4,5,9,9,1,9,6,1,2,8,
1,12,3,3,9,3,6,4,1,1,1,2,3,1],[1,3,3,9,1,16,32,1,9,9,1,9,6,3,3,9,3,3,9,16,1,9,
9,1,9,6,4,8,4,8,12,24,1,3,3,9,4,4,12,1,1,2,1],[1,3,1,3,5,8,1,3,3,3,9,5,3,3,8,
1,9,9,4,12,1,3,3,1,3,1,2,3,4,3,1,3,1,2,4,1,1,3,1,1],[1,21,1,21,5,8,1,9,9,21,3,
27,9,18,5,18,3,3,24,8,24,9,1,9,9,9,9,9,4,18,3,6,3,3,1,3,3,3,1,2,24,9,4,4,4,3,
3,3,1,3,3,3,3,1,3,2,6,6,4,1,3,3,6,1,1,1,1],[1,12,3,1,3,5,8,6,6,6,1,6,3,3,12,8,
5,3,3,8,6,3,6,1,3,4,6,6,6,4,3,1,3,6,1,2,3,8,4,6,3,6,1,3,2,1,2,4,1,3,1,1,2,1],[
1,3,1,39,5,8,1,3,3,18,18,18,18,5,36,3,3,8,48,1,18,9,9,18,4,18,3,6,6,1,3,6,1,2,
24,9,4,8,3,1,3,6,6,1,6,2,12,4,1,3,3,6,1,2,1],[1,3,1,3,5,8,1,3,3,6,6,5,3,3,8,1,
3,3,4,6,4,3,1,3,6,1,2,3,4,3,1,3,1,2,4,1,3,1,1,1],[1,21,9,9,4,1,8,27,27,1,9,3,
3,9,12,12,4,9,7,3,24,9,9,9,3,9,3,9,4,12,1,1,2,9,3,3,9,3,3,9,4,4,4,3,3,1,3,3,1,
6,3,3,3,3,4,1,3,3,1,1,1,1],[1,18,4,18,3,4,1,8,9,18,18,1,9,3,9,3,9,12,4,12,4,8,
6,6,3,24,24,9,9,9,1,9,9,9,4,12,1,1,2,3,3,6,3,3,3,3,24,6,9,4,4,4,3,1,3,3,1,3,6,
2,6,3,3,3,3,4,1,3,3,6,1,1,1,1],[1,16,3,4,1,8,1,12,6,9,3,8,4,16,8,3,6,1,3,6,3,
4,4,1,1,2,12,6,9,3,3,8,4,2,1,6,1,2,3,6,3,4,1,1,3,2,1,1],[1,3,9,27,4,1,8,27,1,
3,3,9,27,9,12,4,12,9,1,9,24,3,9,9,3,9,9,9,4,12,1,1,2,3,9,3,3,9,3,9,4,4,4,3,1,
3,3,1,3,6,3,3,3,3,4,1,3,3,1,1,1,1],[1,6,4,18,3,4,1,8,3,18,18,1,18,3,9,3,18,24,
4,4,8,2,6,3,9,6,18,1,9,4,12,1,1,2,1,6,6,3,3,3,6,6,3,8,4,6,1,2,1,2,3,6,3,4,1,3,
1,2,1,1],[1,6,9,4,1,8,2,9,18,6,12,6,24,9,6,9,4,4,1,2,2,8,9,18,6,1,12,3,6,6,9,
4,1,1,1,2,3,1],[1,4,36,3,4,1,8,1,18,3,18,3,18,18,4,24,4,8,12,3,48,1,18,9,9,18,
4,12,1,1,2,6,3,6,3,6,24,6,9,4,8,1,6,1,6,2,12,3,3,6,4,1,3,3,6,1,2,1],[1,4,3,4,
1,8,1,6,3,3,6,4,4,8,3,1,3,3,4,4,1,1,2,6,3,3,6,3,4,1,1,2,3,3,4,1,1,3,1,1],[1,4,
3,4,1,8,1,3,3,3,9,4,4,8,3,1,9,9,4,12,1,1,2,1,3,3,3,3,4,1,1,2,3,3,4,1,3,1,1,
1],[1,3,3,9,4,4,32,1,9,9,1,9,6,12,12,3,3,9,16,4,1,4,8,1,8,24,1,3,3,4,4,1,1,2,
1],[1,3,3,9,4,4,32,1,9,9,1,9,6,12,12,3,3,9,16,4,1,4,8,1,8,24,1,3,3,4,4,1,1,2,
1],[1,6,9,8,32,2,9,18,6,24,6,9,16,8,2,16,24,1,6,8,2,2,1],[1,6,9,4,4,32,2,9,18,
6,12,12,6,9,16,4,1,1,4,16,24,1,3,3,4,4,1,1,2,1],[1,3,3,9,4,4,32,1,9,9,1,9,6,
12,12,3,3,9,16,4,1,4,8,1,8,24,1,3,3,4,4,1,1,2,1],[1,6,9,1,32,16,2,9,18,6,6,9,
6,9,16,2,8,16,9,18,6,12,24,1,6,9,8,12,1,1,2,1],[1,6,9,8,16,16,2,9,18,6,24,6,9,
16,2,8,8,8,12,12,1,6,8,2,1,1,1],[1,3,3,9,4,32,4,1,9,9,1,9,6,12,12,3,3,9,16,4,
1,8,4,1,8,24,1,3,3,4,4,1,1,2,1],[1,3,3,9,20,16,4,1,9,9,1,9,6,12,12,3,3,9,16,4,
1,4,4,4,5,4,12,12,1,3,3,4,4,1,1,1,1,1],[1,9,9,21,1,8,4,9,27,3,9,1,3,27,9,3,7,
12,24,4,12,9,3,9,9,9,3,9,4,3,3,3,1,9,3,9,2,1,12,9,4,4,4,3,3,3,3,1,3,3,3,6,1,3,
1,4,3,3,1,1,1,1],[1,12,6,12,1,1,8,4,18,36,12,4,3,18,12,6,4,4,1,12,8,4,12,18,
12,1,4,12,6,4,12,3,6,2,1,4,3,4,4,4,3,3,4,6,1,4,2,1,1,4,3,1,1,1,1,1],[1,9,3,21,
6,1,8,4,9,9,18,1,3,9,3,9,18,3,3,7,6,12,24,12,4,3,9,9,9,9,9,3,4,3,1,3,3,3,3,3,
2,1,6,6,12,9,4,4,4,3,1,3,3,3,3,3,3,6,3,1,1,4,3,3,1,1,1,1],[1,12,7,1,8,4,3,4,6,
9,9,12,7,8,4,4,4,6,3,1,6,3,4,3,4,6,9,9,2,1,4,3,4,4,4,6,3,1,6,3,2,1,1,1,1,4,3,
1,1,1,1,1],[1,3,9,27,1,8,4,27,3,1,3,27,9,9,12,9,1,9,24,4,12,9,3,9,3,9,9,9,4,
12,3,1,9,3,9,3,3,2,1,9,4,4,4,3,3,3,3,1,3,3,3,6,1,3,1,4,3,3,1,1,1,1],[1,6,36,1,
1,8,4,9,4,18,3,18,9,18,6,12,1,24,24,8,12,12,4,18,9,1,18,9,4,3,4,6,3,6,3,2,1,6,
24,12,9,4,4,4,6,3,1,6,3,6,2,6,3,1,3,1,4,3,6,3,1,1,1,1],[1,3,3,27,6,1,8,4,9,18,
9,1,3,9,9,3,18,12,3,1,9,6,24,12,4,9,3,9,9,9,3,9,4,12,3,1,3,3,3,3,3,2,1,6,6,9,
4,4,4,3,3,3,3,1,3,3,3,6,3,1,1,4,3,3,1,1,1,1],[1,3,3,9,4,32,4,1,9,9,1,9,6,12,
12,3,3,9,16,4,8,1,4,1,8,24,1,3,3,4,4,1,1,2,1],[1,6,13,1,8,4,3,12,10,6,6,13,8,
4,4,4,3,6,1,3,6,4,3,12,10,6,4,1,2,3,4,4,4,3,6,1,3,6,1,1,1,2,4,1,3,1,1,1,1,1],[
1,36,1,1,8,4,18,3,12,1,24,24,8,12,12,4,9,9,1,4,6,3,24,12,9,4,4,4,3,3,1,1,1,1,
4,3,3,3,3,1,1],[1,3,24,3,9,4,8,1,18,9,12,18,1,9,12,12,16,6,24,1,6,3,3,9,3,9,
12,18,4,12,6,3,6,3,3,1,3,3,3,1,2,9,4,4,4,3,3,3,3,1,3,3,3,4,6,4,1,3,3,1,1,1,
1],[1,6,3,18,3,9,4,8,1,18,3,18,9,9,1,9,3,9,6,12,4,12,24,1,3,3,6,9,3,9,3,9,9,9,
4,3,6,6,12,3,1,3,3,3,3,1,2,9,4,4,4,3,3,3,3,1,3,3,3,1,3,6,4,1,3,3,1,1,1,1],[1,
3,3,9,4,12,4,8,1,9,3,9,1,9,12,12,18,18,12,16,8,1,3,3,1,1,3,3,3,9,9,4,18,4,12,
3,1,3,1,3,3,3,3,3,3,3,6,1,2,3,4,4,4,3,1,3,3,1,1,3,3,4,2,4,1,3,1,1,1,1,1],[1,6,
6,3,1,3,4,8,1,3,6,6,3,1,3,3,3,3,6,4,4,4,6,8,3,1,3,3,3,3,3,3,1,3,4,3,6,6,4,3,1,
3,3,3,3,1,2,3,4,4,4,3,3,3,3,3,1,3,1,1,1,2,4,1,3,1,1,1,1,1],[1,24,3,3,9,4,8,1,
12,18,18,1,12,9,9,16,12,6,24,3,6,1,3,12,9,18,3,9,4,12,3,6,6,1,3,3,3,3,3,1,2,9,
4,4,4,3,3,3,3,1,3,3,4,3,6,4,1,3,3,1,1,1,1],[1,6,18,3,3,9,4,8,1,3,18,18,9,1,3,
9,9,9,6,4,12,12,24,6,3,1,3,3,9,9,9,9,3,9,4,3,6,6,12,3,1,3,3,3,3,1,2,9,4,4,4,3,
3,3,3,3,1,3,1,3,3,6,4,1,3,3,1,1,1,1],[1,36,3,1,3,4,8,1,18,18,18,1,18,3,3,24,4,
24,24,8,6,3,6,1,3,18,9,18,1,9,4,12,24,3,6,6,1,3,3,3,3,3,1,2,9,4,4,4,3,3,3,3,1,
3,3,6,1,6,6,2,4,1,3,3,6,1,1,1,1],[1,24,3,3,9,8,4,1,12,18,18,1,12,9,9,24,6,4,
12,12,3,6,1,3,12,9,18,3,9,4,3,6,6,12,1,3,3,3,3,3,2,1,9,4,4,4,3,3,3,3,1,3,3,6,
1,3,3,4,1,3,3,1,1,1,1],[1,3,3,9,4,32,4,1,9,9,1,9,6,12,12,3,3,9,16,4,4,1,8,1,8,
24,1,3,3,4,4,1,1,2,1],[1,2,5,10,3,15,10,1,10,10,5,15,15,5,1,15,1,5,10,1,10,5,
10,1,5,5,15,5,5,15,5,5,5,2,1,3,3,2,5,5,5,5,5,5,5,1,2,2,2,3,1,3,1,3,1,1,1,2,5,
1,1,1,2,2,1,1,1,3,1,3,1,1,1,1,1,1,1,1,1,1],[1,7,1,7,7,8,1,7,8,1,1,1],[1,42,3,
4,21,1,21,28,1,21,1,3,6,4,7,1,3,3,4,3,1,1],[1,14,3,7,7,1,7,14,21,1,7,7,7,7,3,
2,1,7,1,1,1,3,2,1,1,1,1,1],[1,7,28,7,28,8,1,7,8,7,1,1],[1,7,28,7,28,8,1,7,8,7,
1,1],[1,7,28,7,28,8,1,7,8,7,1,1],[1,21,28,14,21,28,8,21,14,8,14,1],[1,21,28,7,
7,21,28,8,21,7,7,8,7,7,1],[1,9,5,45,1,1,2,45,1,3,5,15,5,10,3,15,6,30,1,9,1,9,
15,15,30,1,1,2,1,5,5,9,3,1,3,3,1,3,6,2,6,5,1,3,3,6,1,1,1,1],[1,5,1,1,2,15,1,5,
5,10,1,1,5,15,1,1,2,5,3,1,1,2,5,1,1,3,1,1],[1,5,1,1,2,15,1,5,5,10,1,1,15,5,1,
1,2,5,3,1,1,2,5,1,3,1,1,1],[1,3,1,4,8,1,1,3,4,3,1,1,2,1,4,8,1,3,1,4,1,1,2,1],[
1,15,11,20,5,6,10,15,10,6,5,5,10,6,10,6,5,1,1],[1,15,10,1,20,5,6,10,15,10,6,5,
5,10,6,10,6,5,1,1],[1,15,10,1,20,5,6,10,15,10,6,5,5,10,6,10,6,5,1,1],[1,15,1,
20,10,5,6,15,10,10,6,5,10,5,6,10,6,5,1,1],[1,10,9,18,3,27,1,14,30,5,14,30,1,2,
3,3,18,27,9,27,9,9,18,1,27,5,9,6,2,18,4,2,2,3,6,3,6,9,2,6,6,7,2,18,6,6,6,15,
18,6,5,14,15,4,3,3,9,6,1,6,9,9,9,9,9,9,9,1,27,9,9,7,15,18,9,15,18,12,2,4,2,4,
4,2,4,1,6,6,6,1,6,1,6,2,1,9,3,9,3,3,6,1,6,9,3,1,2,6,6,2,6,1,6,3,6,3,6,7,1,9,3,
3,3,15,9,9,3,9,1,1,9,3,3,1,1,3,3,3,9,3,3,3,9,3,3,9,9,3,3,2,1,2,2,2,2,2,2,4,2,
2,2,2,2,4,1,2,3,3,2,6,2,2,2,2,3,6,2,1,2,3,3,3,3,2,1,3,3,3,3,3,9,3,3,1,1,6,3,2,
3,6,4,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,1,2,2,1,1,1,1,1,1,2,2,2,2,2,2,3,1,1,1,3,1,
1,1,3,1,3,1,1,3,1,1,3,1,3,1,1,1,1,1,1,3,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,4,6,12,1,6,9,9,4,2,12,2,2,12,12,12,2,2,12,6,6,9,6,18,6,18,18,6,12,12,6,
12,9,9,36,6,18,16,4,12,12,2,1,2,6,6,6,6,4,6,12,12,6,12,6,6,24,2,6,6,6,1,6,6,6,
6,6,6,6,9,3,18,3,18,6,18,9,6,9,12,6,12,36,6,6,6,6,18,8,8,8,12,4,12,8,1,1,6,6,
3,3,6,6,2,6,6,6,12,2,2,6,6,6,3,1,6,2,6,6,3,3,6,6,6,12,3,6,9,3,6,9,6,8,4,8,4,4,
4,1,3,3,3,2,6,1,3,2,6,1,3,1,3,4,2,2,2,3,1,2,3,1,2,1,2,1,1,1],[1,8,18,24,9,4,
16,48,24,2,4,12,12,24,15,24,18,12,24,6,6,8,4,8,12,12,4,12,12,24,12,8,12,12,24,
12,12,6,12,12,12,12,3,12,12,12,6,12,9,12,3,12,24,12,4,8,8,12,4,4,12,4,4,1,12,
12,3,12,6,4,12,6,6,12,12,6,1,12,6,4,6,12,6,3,3,3,6,3,3,4,4,4,2,4,4,4,4,1,2,3,
3,6,4,6,3,6,6,3,6,3,4,1,2,2,3,1,1,3,1,1,3,1,1,1,1,1,1,1,1],[1,8,6,24,12,9,4,4,
24,12,24,24,2,4,24,12,12,9,12,18,12,24,12,6,6,6,8,4,8,12,12,4,12,12,12,12,8,
12,24,12,12,12,12,6,12,12,12,12,12,12,12,3,12,6,9,12,3,24,12,12,4,8,8,12,4,4,
12,4,4,1,12,12,3,12,6,4,12,6,6,12,12,6,1,12,4,6,6,12,3,6,3,6,3,3,3,4,4,4,2,4,
4,4,4,1,2,3,3,6,4,6,3,6,6,3,6,3,4,1,2,2,3,1,1,3,1,1,3,1,1,1,1,1,1,1,1],[1,6,9,
14,3,27,4,6,18,3,6,18,3,6,1,3,18,27,27,9,9,7,18,1,27,3,7,18,6,6,8,4,8,12,12,6,
2,6,3,6,6,6,6,6,9,18,6,3,6,9,12,3,9,9,6,3,6,3,9,9,9,9,9,27,3,9,9,9,3,9,18,7,9,
18,12,1,8,4,8,12,4,4,12,4,4,6,3,6,1,6,3,6,3,3,3,3,3,3,9,3,9,3,9,3,3,9,3,3,3,3,
3,3,1,9,3,1,3,9,3,3,9,9,3,3,2,1,2,3,3,4,4,4,4,4,4,4,3,3,3,1,3,3,3,3,3,3,3,3,3,
3,3,2,1,2,3,1,1,3,1,1,4,3,1,1,1,1,1,1,1,1],[1,8,12,32,1,12,7,7,4,12,48,4,12,
48,32,32,3,6,4,6,36,12,9,12,6,9,24,9,6,18,9,16,36,36,24,36,7,9,18,8,8,4,8,4,4,
8,4,4,4,4,6,8,12,6,6,24,12,24,6,24,6,12,12,24,36,12,8,36,12,24,24,36,12,16,24,
72,6,3,6,3,6,3,12,3,12,6,6,6,6,4,6,1,12,6,4,6,6,6,12,3,6,6,18,18,12,18,12,9,
12,9,3,9,6,9,3,6,3,18,18,18,4,8,8,8,8,8,8,1,8,4,8,8,8,4,4,4,4,8,8,4,4,4,4,4,
12,3,12,6,6,4,12,2,12,8,12,6,12,6,12,12,12,3,6,6,6,12,6,6,6,18,6,6,12,6,12,6,
12,12,12,4,18,6,12,18,12,12,12,6,3,6,3,3,3,6,6,12,3,3,6,1,6,6,3,6,6,3,3,9,2,2,
4,4,4,8,8,8,8,1,2,1,1,1,2,1,1,1,4,4,4,4,6,6,12,3,6,1,6,6,12,3,6,3,3,6,6,3,3,2,
1,2,2,2,2,2,1,2,2,2,2,4,1,1,1,1,2,2,1,1,1,1,1,3,1,2,2,1,1,2,2,1,1,1,1,1],[1,6,
9,14,1,15,14,4,6,18,3,6,18,3,6,1,3,18,9,9,9,9,18,18,7,18,3,1,9,7,6,18,18,6,8,
4,8,4,4,8,8,6,2,6,3,6,6,6,6,6,9,18,6,3,6,9,12,3,3,9,6,6,3,6,1,3,2,6,3,3,6,6,9,
3,9,3,9,9,3,9,3,6,18,6,12,6,9,18,7,12,1,8,4,8,4,8,4,4,4,4,4,8,6,3,6,1,6,3,6,3,
3,3,3,3,3,9,3,9,3,3,6,3,3,3,3,6,3,3,3,3,3,1,3,3,1,6,3,3,3,3,6,3,3,9,9,2,1,2,1,
1,2,2,4,4,4,4,4,4,4,3,3,3,1,3,3,3,3,3,3,3,3,3,3,3,2,1,2,1,2,1,1,1,1,1,2,4,3,1,
1,1,1,1,1,1,1],[1,8,6,8,3,18,1,3,4,12,24,4,12,24,8,8,4,18,36,3,12,18,4,12,1,
18,4,4,3,3,24,9,18,8,8,12,4,12,8,6,24,12,12,12,8,12,24,4,12,12,4,4,12,12,1,12,
6,36,6,12,9,6,18,6,9,36,4,12,12,4,1,9,4,6,4,8,8,1,4,4,4,12,12,4,4,2,8,6,12,6,
6,6,12,12,4,12,12,4,12,4,4,3,12,4,3,6,9,12,6,6,2,2,4,4,4,3,1,3,4,4,4,4,4,1,4,
6,6,4,4,1,1,1,2,2,1,4,1,1,3,3,1,1,1,1,1,1,1,1,1,1],[1,6,3,14,3,9,6,18,4,6,6,3,
6,6,12,12,1,3,6,9,9,9,3,6,9,7,6,12,12,1,9,3,7,18,18,6,18,18,6,8,12,8,4,12,2,6,
3,6,6,6,6,3,6,6,6,6,3,6,3,6,6,12,12,3,6,3,9,9,9,3,6,3,9,3,9,3,3,9,3,9,3,9,18,
7,3,6,6,12,6,12,6,18,6,6,1,4,8,8,4,4,4,12,4,12,1,6,6,3,6,3,3,3,3,3,6,3,3,3,3,
3,3,6,6,1,1,3,9,9,3,3,3,9,3,3,3,3,3,3,3,9,3,3,3,3,3,6,6,2,3,2,1,3,4,4,4,4,4,4,
4,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,2,2,1,1,1,3,3,1,4,3,1,1,1,1,1,1,1,1],[1,8,6,
8,1,18,1,13,4,12,24,4,12,24,8,8,4,6,6,12,12,3,12,18,6,4,12,6,12,1,6,6,6,3,12,
12,18,6,8,8,4,8,4,4,8,8,6,24,12,12,12,8,12,24,12,4,12,12,12,12,4,12,1,4,12,3,
3,6,6,3,6,6,6,3,3,12,6,6,3,12,6,6,6,6,12,12,12,12,6,6,6,6,4,8,8,1,4,4,4,4,4,4,
8,8,4,2,8,3,6,6,6,3,6,6,6,4,6,6,12,12,12,6,6,1,6,6,6,12,3,3,3,3,3,6,3,6,6,2,2,
4,4,4,1,2,1,1,2,4,4,4,4,6,1,6,3,3,3,3,6,6,3,3,1,2,2,1,4,1,1,1,1,1,2,2,3,1,1,1,
1,1,1,1,1],[1,6,3,14,1,21,6,8,4,6,6,3,6,6,12,12,1,3,6,3,6,9,9,3,6,6,3,7,6,12,
12,9,1,9,6,1,6,6,6,12,18,18,12,8,4,8,8,4,8,4,2,6,3,6,6,6,6,3,6,6,6,6,3,12,6,3,
12,12,1,6,6,3,2,3,3,6,3,6,3,6,3,3,3,3,3,3,3,3,3,3,12,6,6,9,6,6,6,6,12,6,9,6,1,
12,6,6,6,6,12,1,4,8,8,4,4,4,4,4,4,8,8,1,6,6,3,6,3,3,3,3,3,6,3,3,3,3,3,3,6,6,3,
3,3,3,1,1,6,6,3,3,3,3,6,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,2,1,2,2,1,2,1,4,4,4,4,4,
4,4,3,3,1,3,3,3,3,3,3,3,3,3,3,3,3,1,2,2,1,1,1,1,1,1,2,2,4,3,1,1,1,1,1,1,1,1],[
1,4,6,4,13,16,6,12,4,4,3,6,12,12,14,6,16,16,16,4,6,12,4,1,3,6,3,12,12,2,6,6,2,
16,4,8,1,6,6,3,3,6,6,4,4,4,8,8,3,1,3,4,1,1,1],[1,4,4,12,3,12,3,9,4,2,12,2,2,
12,12,12,1,12,12,9,3,6,3,18,9,6,12,12,6,12,1,12,2,6,9,9,6,9,18,18,18,16,12,4,
12,1,6,6,4,6,12,12,6,12,2,2,6,6,6,6,24,3,1,3,6,6,6,4,9,6,1,6,9,3,9,18,3,9,9,9,
18,6,6,6,6,12,6,6,12,6,6,3,9,18,6,6,18,8,8,8,4,8,12,12,1,1,3,3,2,6,2,2,6,6,6,
6,6,6,6,6,12,1,2,3,3,6,6,3,6,6,3,3,3,9,9,3,6,3,3,6,6,12,6,4,8,8,4,4,4,3,1,3,3,
1,3,2,2,6,6,1,1,3,3,4,2,2,2,1,2,3,3,1,1,2,2,1,1,1],[1,4,4,12,1,8,3,15,4,2,12,
2,2,12,12,12,1,12,4,5,3,6,3,18,21,6,12,12,6,12,2,3,6,2,2,3,18,12,30,6,12,12,
16,4,4,20,1,6,6,4,6,12,12,6,12,6,4,6,12,24,1,1,5,6,6,6,1,1,3,3,3,6,9,3,9,3,18,
6,6,12,6,24,6,6,6,6,12,12,12,12,6,6,6,6,3,6,3,24,8,8,8,4,8,8,8,8,1,1,3,3,2,6,
2,2,6,6,12,12,12,6,6,1,2,2,2,2,3,12,12,3,3,3,3,3,3,6,6,6,6,6,12,6,6,4,16,4,4,
4,1,1,5,3,1,3,4,12,1,1,3,3,4,2,2,2,1,2,2,2,2,1,1,4,1,1,1],[1,16,16,24,1,16,3,
3,4,32,72,8,32,72,24,24,1,6,12,6,12,16,3,36,6,9,36,3,6,18,3,12,12,12,36,12,3,
9,6,16,8,8,4,8,4,8,4,6,24,12,16,6,72,12,36,6,36,6,4,12,36,12,12,24,12,12,36,
72,12,12,12,36,24,6,1,6,1,6,1,12,3,12,6,6,6,6,12,6,3,12,6,12,6,6,6,12,3,6,6,6,
6,12,6,12,9,18,3,3,3,6,3,9,6,3,6,6,6,8,16,8,16,16,8,16,4,8,8,8,4,8,4,4,4,1,12,
3,12,6,6,12,12,6,12,24,12,6,12,6,12,12,18,3,6,6,18,12,6,2,6,6,6,2,12,2,12,6,
12,12,12,12,6,6,12,6,12,12,12,6,3,6,1,3,3,6,6,12,3,3,6,3,6,6,3,6,6,3,3,3,4,8,
8,8,16,8,4,4,4,2,2,1,2,1,2,1,6,6,12,3,6,3,6,6,12,3,6,1,3,6,6,3,3,4,2,4,2,4,4,
2,4,1,2,2,2,1,2,1,1,1,3,1,2,2,2,4,2,1,1,1],[1,4,4,36,1,4,3,3,4,2,12,2,2,12,12,
12,1,6,24,4,3,6,3,18,3,12,6,3,18,24,24,18,24,3,3,6,6,6,16,4,4,16,4,12,1,12,6,
6,4,6,12,12,6,12,6,6,24,1,1,12,1,6,12,3,6,12,12,12,12,3,9,3,6,3,12,3,3,6,3,3,
12,12,12,6,12,12,24,24,6,6,8,8,8,4,8,8,4,4,8,1,6,6,12,3,6,2,6,6,6,2,2,6,6,1,6,
6,3,3,6,6,3,6,3,6,6,6,6,6,3,3,6,3,6,12,12,4,8,8,4,4,4,1,1,4,1,3,6,6,1,3,6,6,3,
3,3,3,4,2,2,2,1,2,2,1,1,2,3,1,2,2,1,1,1],[1,4,4,12,1,28,3,3,4,2,12,2,2,12,12,
12,1,12,4,3,24,12,3,6,3,6,3,6,12,12,6,12,12,6,6,3,6,24,15,6,12,6,16,4,16,4,4,
1,6,6,4,6,12,12,6,12,12,12,6,6,24,1,12,1,1,6,6,6,3,12,6,3,6,3,3,3,3,3,12,3,3,
6,12,12,12,6,6,6,6,12,6,12,24,6,24,6,6,6,6,8,8,8,8,4,4,4,8,8,1,6,3,2,6,2,2,6,
6,6,6,6,6,12,3,6,1,3,6,6,6,6,3,6,6,3,3,3,6,6,3,3,3,6,6,12,12,4,8,8,4,4,4,1,4,
1,1,3,1,3,6,6,6,6,3,3,3,3,4,2,2,2,1,2,1,1,2,2,3,1,2,2,1,1,1],[1,4,4,12,1,4,3,
3,4,2,12,2,2,12,12,12,1,12,4,3,12,3,6,3,6,3,6,12,12,6,12,12,3,3,6,12,12,16,4,
4,4,1,6,6,4,6,12,12,6,12,6,6,24,1,1,1,6,6,6,6,6,3,3,3,6,6,3,3,6,6,6,6,6,6,6,6,
6,6,6,8,8,8,4,8,8,1,6,3,2,6,2,2,6,6,12,1,6,6,3,3,6,3,3,3,6,6,12,12,4,4,4,4,1,
1,1,3,1,3,3,3,3,3,4,2,2,2,1,2,2,3,1,1,1,1],[1,8,16,24,2,3,6,4,16,36,12,12,12,
1,4,12,6,12,1,6,9,24,3,12,6,9,12,12,12,6,6,6,8,4,8,4,12,8,3,12,6,1,6,18,3,6,9,
2,6,6,6,12,6,6,6,6,12,6,1,9,2,12,6,3,9,6,6,3,12,6,6,6,3,6,6,3,3,3,6,3,3,12,6,
6,18,6,6,12,4,8,8,4,8,4,4,4,4,4,8,1,6,3,6,6,3,6,6,3,3,3,1,3,3,6,3,6,6,6,6,6,6,
3,3,1,1,3,6,6,3,6,3,3,3,6,3,3,3,3,3,3,3,3,3,4,4,4,2,4,4,4,4,1,2,1,3,2,3,3,3,3,
3,3,3,1,3,3,3,3,3,3,3,4,1,2,2,1,2,1,1,1,1,1,2,3,1,1,1,1,1,1,1,1],[1,8,4,24,14,
3,6,4,4,12,12,36,12,12,1,4,6,12,1,12,6,3,12,3,12,6,9,12,12,12,12,6,6,6,6,8,4,
8,4,12,8,3,6,1,12,6,6,3,6,9,2,6,6,6,6,6,12,6,6,12,12,6,1,9,2,12,6,3,9,6,6,6,3,
6,6,12,6,3,3,3,6,3,6,3,3,6,6,18,6,6,12,12,4,8,8,4,8,4,4,4,4,4,8,1,6,3,6,6,3,6,
3,3,6,3,1,3,3,6,3,6,6,6,6,6,6,3,3,3,1,1,6,6,3,3,6,3,3,6,3,3,3,3,3,3,3,3,3,4,4,
4,2,4,4,4,4,1,2,1,3,2,3,3,3,3,3,3,1,3,3,3,3,3,3,3,3,4,1,2,2,1,2,1,1,1,1,1,2,3,
1,1,1,1,1,1,1,1],[1,14,9,6,3,27,4,18,18,7,18,18,1,6,3,3,6,27,9,27,9,3,6,1,27,
7,3,6,6,18,8,8,4,12,12,6,6,6,9,6,18,6,2,6,9,6,6,7,18,9,12,3,3,9,6,3,6,9,9,9,9,
3,9,9,3,27,3,9,9,9,18,3,9,6,12,8,4,8,4,12,4,12,4,4,1,6,3,6,3,6,3,6,9,3,9,3,1,
3,9,9,3,3,9,1,3,9,1,3,3,3,3,3,3,9,3,3,3,9,3,3,3,3,3,3,4,4,4,2,4,4,4,4,2,1,3,3,
3,3,3,3,3,3,3,1,3,3,3,3,3,3,3,4,2,1,2,1,3,1,1,3,1,3,1,1,1,1,1,1,1,1],[1,14,9,
6,1,23,6,4,18,18,7,18,18,1,6,3,3,6,9,3,27,9,18,6,3,6,7,1,9,3,18,18,6,6,8,8,4,
4,12,8,6,6,6,9,6,18,6,2,6,9,6,6,7,18,9,12,3,1,9,2,6,3,6,3,3,6,6,3,3,6,6,3,9,3,
3,9,9,9,3,3,6,6,18,12,6,9,6,3,12,8,4,8,4,4,8,4,4,4,4,8,1,6,3,6,3,6,3,6,9,3,9,
3,1,3,9,9,3,3,3,6,3,1,1,3,6,3,3,3,3,3,3,3,3,3,6,3,3,3,3,6,3,3,3,3,4,4,4,2,4,4,
4,4,2,1,1,3,2,3,3,3,3,3,3,3,1,3,3,3,3,3,3,3,4,2,1,2,1,1,2,1,1,1,1,2,3,1,1,1,1,
1,1,1,1],[1,2,9,18,3,27,4,18,1,18,1,3,3,6,27,9,27,9,18,6,9,6,18,1,27,1,9,6,18,
6,8,4,12,12,8,2,9,6,6,6,18,6,1,9,3,3,9,6,9,9,6,9,9,6,3,6,6,9,9,27,3,9,9,9,3,9,
3,18,6,9,9,6,18,12,12,4,8,8,12,4,12,4,4,4,1,1,6,6,9,3,3,3,9,3,6,6,9,1,9,1,3,3,
3,9,3,3,3,3,9,3,3,3,3,3,3,3,9,3,3,3,9,3,3,3,4,4,4,2,4,4,4,4,1,3,3,2,1,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,4,1,2,2,3,1,3,1,1,1,3,1,1,1,1,1,1,1,1],[1,2,9,18,1,23,6,4,
18,1,18,1,3,3,6,9,3,27,9,18,6,18,6,9,6,18,7,7,3,3,6,18,18,6,8,4,4,12,8,8,2,9,
6,6,6,18,6,7,3,3,1,9,6,2,3,3,6,6,6,3,3,6,6,6,3,6,6,3,9,3,3,9,9,9,3,9,3,6,6,6,
18,12,6,18,9,6,9,12,12,4,8,8,4,8,4,4,4,4,4,8,1,1,6,6,9,3,3,3,9,3,6,6,3,6,3,3,
1,3,1,6,3,3,3,3,3,6,3,3,3,3,3,6,3,3,3,3,3,3,9,3,3,3,9,3,4,4,4,2,4,4,4,4,1,1,3,
2,2,3,3,1,3,3,3,3,3,3,3,3,3,3,3,3,4,1,2,2,1,2,1,1,1,1,1,2,3,1,1,1,1,1,1,1,1],[
1,2,9,18,3,27,4,18,1,18,3,1,3,18,27,27,9,9,6,6,9,18,6,1,27,1,9,18,6,6,8,4,12,
12,8,6,9,18,2,6,6,6,1,9,3,9,9,6,3,9,6,9,9,6,9,6,6,9,27,9,9,9,9,3,3,3,3,18,6,9,
9,18,6,12,12,4,8,8,1,12,4,12,4,4,4,3,6,6,9,9,1,3,3,3,6,6,9,3,9,3,3,3,1,9,3,3,
1,3,9,3,3,3,9,9,3,3,3,3,3,3,3,3,3,3,2,4,4,4,1,3,3,2,4,4,4,4,3,3,3,1,3,3,3,3,3,
3,3,3,3,3,3,1,2,2,4,3,1,3,1,1,1,3,1,1,1,1,1,1,1,1],[1,2,3,18,3,9,6,18,4,6,1,6,
12,12,6,1,3,6,9,9,9,6,3,9,9,6,12,6,12,1,9,1,9,18,18,6,6,18,18,8,8,12,4,12,6,3,
6,2,6,6,6,1,3,6,6,12,6,3,6,6,6,3,3,9,9,6,9,3,6,3,3,9,3,9,3,3,9,3,9,9,18,9,3,6,
6,6,12,6,12,12,6,18,6,6,4,8,8,1,4,4,4,12,12,4,3,6,6,3,3,1,3,3,3,6,6,6,6,3,3,3,
3,3,3,1,3,9,9,1,3,3,3,9,3,3,3,3,3,3,3,3,3,3,9,3,3,6,6,2,4,4,4,2,3,1,3,4,4,4,4,
3,3,3,1,3,3,3,3,3,3,3,3,3,3,3,1,2,2,4,1,1,1,3,3,1,3,1,1,1,1,1,1,1,1],[1,2,9,
18,1,15,14,4,18,1,18,3,1,3,18,9,9,9,9,6,6,18,18,9,18,6,3,3,7,7,6,6,18,18,8,4,
4,4,8,8,8,6,9,18,2,6,6,6,3,7,3,3,9,6,6,1,3,6,2,6,3,3,6,6,6,9,6,6,3,3,9,3,3,9,
3,3,9,9,6,6,18,6,12,6,6,9,18,9,12,12,4,8,8,1,4,8,4,4,4,4,4,8,3,6,6,3,3,1,3,9,
9,6,6,3,6,3,3,3,3,3,6,3,1,3,1,3,6,3,3,3,3,3,6,3,3,9,9,3,3,3,3,3,3,3,3,2,4,4,4,
1,1,1,2,2,2,4,4,4,4,3,3,3,1,3,3,3,3,3,3,3,3,3,3,3,1,2,2,4,1,2,1,1,1,1,1,2,3,1,
1,1,1,1,1,1,1],[1,2,3,18,1,21,6,8,4,6,1,6,12,12,6,1,3,6,3,6,9,9,6,3,6,3,9,6,
12,6,12,9,3,7,6,1,6,6,12,18,18,12,6,8,8,4,8,4,8,4,6,3,6,2,6,6,6,3,6,6,1,12,6,
3,6,6,6,1,6,3,2,3,3,6,6,3,6,3,6,3,3,3,3,3,3,3,3,3,3,12,6,6,9,6,6,6,12,12,6,9,
6,3,12,12,6,6,6,6,12,4,8,8,1,4,4,4,4,4,4,8,8,3,6,6,3,3,1,3,3,3,6,6,6,6,3,3,3,
3,3,3,3,1,3,1,3,6,6,3,3,3,3,3,6,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,2,4,4,4,2,1,2,1,
2,1,4,4,4,4,3,3,3,1,3,3,3,3,3,3,3,3,3,3,3,1,2,2,4,1,1,1,1,1,1,2,2,3,1,1,1,1,1,
1,1,1],[1,12,4,12,3,12,3,9,4,6,12,6,6,12,12,12,1,6,12,9,3,6,3,6,18,9,6,6,1,12,
6,6,9,9,6,6,9,18,18,18,6,8,12,4,8,12,6,3,6,6,6,6,6,6,6,6,6,6,6,6,12,6,12,3,1,
6,3,3,6,6,6,6,4,9,3,3,6,9,3,9,3,18,3,9,3,9,6,9,18,6,6,6,6,6,6,12,12,3,9,18,6,
18,6,4,8,8,4,4,12,4,12,4,1,3,6,6,3,3,3,3,3,3,6,6,6,6,12,6,6,12,1,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,9,3,9,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,2,3,1,2,3,3,3,3,3,3,3,
3,1,3,3,3,3,3,3,3,4,1,2,2,1,1,3,1,3,1,3,1,1,1,1,1,1,1,1],[1,12,4,12,1,28,3,3,
4,6,12,6,6,12,12,12,1,6,4,3,24,12,3,6,3,6,6,3,6,6,12,2,6,3,24,15,6,12,8,4,16,
4,8,4,6,3,6,6,6,6,6,6,6,12,12,6,6,1,12,1,6,1,3,6,6,6,6,12,6,6,1,6,3,3,3,3,3,
12,3,6,3,6,12,12,12,6,6,12,12,6,6,6,6,4,8,8,8,8,4,4,8,8,1,3,6,6,6,6,3,3,6,6,6,
6,12,6,2,1,3,6,6,6,6,3,3,3,6,6,6,3,6,6,3,6,3,6,6,8,4,4,8,4,2,1,4,1,2,1,6,3,3,
6,3,3,6,1,3,6,3,4,1,2,2,2,2,1,1,2,2,3,2,1,1,2,1,1],[1,12,6,36,1,6,9,9,4,6,36,
6,6,36,36,36,2,6,36,6,6,9,18,18,18,18,18,18,36,36,18,36,9,9,36,6,18,8,4,12,24,
12,6,3,6,18,18,18,18,12,18,36,36,18,36,18,18,72,2,6,18,6,3,18,18,18,18,18,18,
18,9,9,18,9,18,18,18,9,18,9,36,18,36,36,18,18,18,6,18,4,24,24,12,12,4,24,12,
24,1,3,18,18,9,9,18,18,6,18,18,18,36,6,6,18,18,6,9,1,18,6,6,18,9,9,18,18,18,
36,9,18,9,9,18,9,18,12,8,24,4,12,2,1,3,6,3,9,6,18,3,9,6,18,1,9,3,9,4,1,6,6,3,
3,1,6,3,6,3,3,2,6,1,3,1],[1,12,4,12,1,4,3,3,4,6,12,6,6,12,12,12,1,8,6,4,3,6,3,
6,3,12,6,3,6,6,3,3,6,6,6,8,4,4,8,4,6,3,6,6,6,6,6,12,6,12,12,6,12,6,6,1,1,6,1,
4,12,6,6,12,6,3,6,3,3,3,6,3,6,3,3,6,3,3,6,6,6,4,8,8,4,4,4,4,8,1,3,6,6,3,3,6,6,
6,6,6,6,6,12,6,1,3,3,2,3,6,3,6,6,6,6,6,3,3,3,3,3,4,8,8,4,4,2,1,1,2,1,3,6,6,3,
3,6,6,3,1,3,3,4,1,2,2,1,1,1,2,1,3,1,2,2,1,1,1],[1,12,4,12,1,8,3,15,4,6,12,6,6,
12,12,12,1,6,4,5,3,6,3,6,18,21,6,6,2,12,3,6,2,3,18,12,30,12,12,12,8,4,4,8,20,
6,3,6,6,6,6,6,6,6,12,6,12,6,24,1,1,6,5,3,6,6,6,6,1,6,3,3,3,3,6,6,9,6,9,6,3,18,
6,12,6,24,6,12,12,12,12,6,6,6,6,3,6,3,24,4,8,8,4,4,8,8,8,8,1,3,6,6,3,3,6,6,6,
6,6,6,12,12,6,6,1,3,2,6,2,2,3,3,6,6,3,3,3,3,6,6,6,6,6,6,6,6,4,8,4,4,8,2,1,1,2,
5,3,6,3,3,6,1,3,6,3,3,6,4,1,2,2,1,1,2,2,2,2,3,1,2,1,1,2,1],[1,12,4,12,1,4,3,3,
4,6,12,6,6,12,12,12,1,6,4,3,12,3,6,3,6,6,3,6,6,3,2,3,6,6,12,8,4,4,8,4,6,3,6,6,
6,6,6,6,6,6,6,1,1,6,1,3,6,6,6,6,1,6,3,3,3,3,3,3,6,3,6,6,6,6,6,6,6,6,6,4,8,8,4,
4,8,8,1,3,6,6,3,3,6,6,6,6,12,1,3,6,2,3,3,3,3,3,3,6,6,4,4,4,2,1,1,2,1,3,3,3,3,
1,3,3,4,1,2,2,1,1,2,2,3,1,1,1,1],[1,16,3,48,3,9,4,1,12,6,48,9,108,18,9,3,54,9,
1,48,9,9,6,72,27,18,54,18,8,12,24,4,12,6,3,18,1,3,36,18,3,6,36,18,18,18,3,18,
18,16,9,108,18,27,9,54,9,36,9,9,18,27,18,108,36,9,18,6,3,27,18,18,18,24,4,24,
4,24,12,12,12,24,1,18,3,18,1,18,3,3,9,18,12,18,9,18,36,18,9,18,36,6,18,9,18,
18,9,36,9,3,9,9,27,18,9,18,18,8,12,24,4,12,2,3,6,1,3,6,9,18,1,9,3,6,9,18,3,9,
4,6,1,6,1,6,3,3,3,6,3,2,3,6,1,3,1],[1,16,1,16,3,3,4,1,12,6,16,3,36,6,9,3,18,3,
8,12,3,6,9,6,6,8,4,8,4,4,6,1,6,1,1,12,6,3,6,12,6,6,6,3,6,6,3,6,16,36,9,3,18,3,
3,3,9,6,3,6,12,6,6,8,4,8,8,4,4,4,4,1,6,3,6,3,2,1,3,3,6,12,3,6,6,12,3,6,6,6,3,
6,6,3,3,3,3,6,18,3,8,4,8,4,4,2,1,2,1,1,6,3,6,3,1,3,6,3,6,3,3,4,2,1,2,1,2,1,1,
1,3,2,1,2,1,1,1],[1,18,1,18,9,9,4,2,12,12,18,6,36,12,15,18,30,18,9,15,36,6,18,
6,6,8,4,8,12,12,12,2,12,6,6,12,12,3,12,12,12,12,12,6,12,12,15,18,18,18,9,12,6,
9,9,3,3,12,12,36,6,6,18,6,12,12,8,4,8,12,4,4,12,4,4,1,12,6,12,6,6,1,6,6,6,3,
12,6,12,3,3,6,6,3,6,6,9,3,12,9,6,3,3,12,3,4,4,4,4,4,4,4,2,1,2,3,3,6,3,6,1,6,3,
6,3,3,3,3,4,2,1,2,3,1,1,1,3,1,3,1,1,1,1,1,1,1,1],[1,16,24,1,16,3,3,4,1,2,12,6,
12,16,3,36,6,9,12,3,18,18,3,12,12,12,12,12,3,9,6,8,4,8,4,16,4,6,1,6,1,12,1,12,
1,12,6,6,12,6,3,12,6,12,6,6,6,3,6,6,6,6,12,6,9,6,3,9,3,12,3,9,6,3,12,12,6,12,
12,6,6,8,4,8,4,8,4,8,8,8,1,6,3,6,1,6,3,6,2,6,6,6,12,3,6,6,6,6,3,6,6,3,6,6,3,3,
6,3,6,6,6,6,6,6,4,8,4,4,8,2,1,2,1,4,1,3,6,3,1,6,3,6,3,6,3,3,4,2,1,2,1,2,1,2,2,
2,3,1,2,1,1,2,1],[1,16,1,20,3,15,4,1,12,6,16,5,36,18,9,3,30,21,2,3,6,2,9,18,
12,30,12,12,12,8,4,8,4,20,6,1,6,1,5,12,18,3,6,12,18,6,6,3,6,6,1,6,9,3,6,9,12,
9,3,18,9,6,12,9,6,6,6,24,12,6,24,6,6,6,6,3,3,6,12,12,24,8,4,8,4,8,4,8,8,8,1,6,
3,6,1,2,3,2,6,2,6,3,6,6,9,6,12,6,3,3,6,6,3,3,3,3,12,6,6,6,12,6,6,6,6,6,4,8,4,
4,8,2,1,2,1,5,3,6,1,3,6,3,3,6,3,3,6,4,2,1,2,1,2,1,2,2,2,3,1,2,1,1,2,1],[1,16,
1,16,3,3,4,1,12,6,16,3,36,6,9,3,18,3,12,3,2,9,6,18,8,4,8,4,4,6,1,6,1,1,12,6,3,
6,12,6,6,6,3,6,6,1,6,9,3,6,9,3,3,9,6,3,12,6,6,6,12,8,4,8,4,8,4,8,1,6,3,6,1,6,
3,2,6,3,6,6,3,6,3,3,3,3,6,6,6,12,4,4,4,2,1,2,1,1,3,3,1,3,3,3,3,4,2,1,2,1,2,1,
2,3,1,1,1,1],[1,6,3,18,9,27,4,2,18,18,9,18,54,54,1,18,27,27,12,27,108,54,108,
6,54,36,12,12,36,6,6,18,6,18,27,54,54,54,54,54,108,9,27,108,36,108,9,27,108,
18,54,108,54,27,27,216,4,36,36,4,36,24,1,2,18,18,1,18,12,9,18,54,54,27,27,108,
27,54,108,6,54,36,12,12,36,3,3,9,6,3,18,9,27,4,1,9,9,1,9,6,1,3,3,9,1],[1,4,24,
3,12,3,9,4,1,12,12,9,3,12,3,12,18,9,12,12,12,12,12,1,12,12,9,9,6,9,18,18,18,
12,12,4,16,12,3,1,12,3,6,6,6,4,9,6,9,6,9,6,18,6,9,6,9,12,9,18,6,12,6,12,6,6,6,
12,12,6,12,12,6,24,12,12,3,9,18,6,18,6,4,12,8,12,8,8,8,1,1,3,6,3,6,6,6,6,3,6,
6,12,3,6,3,6,9,6,9,6,3,3,3,6,6,6,6,6,6,6,6,6,12,4,8,4,4,8,3,1,4,3,1,6,3,3,6,3,
3,3,6,3,6,4,1,3,2,3,2,2,2,3,1,2,1,1,2,1],[1,4,3,12,3,9,4,1,6,12,9,18,3,3,18,9,
1,12,9,9,6,9,18,18,18,6,18,12,4,12,3,1,3,18,3,18,4,9,18,9,9,18,9,9,9,18,9,18,
3,9,6,3,9,18,18,18,18,18,18,4,12,12,12,4,1,1,3,3,3,9,6,9,18,9,3,3,9,9,9,9,9,9,
18,6,18,4,12,12,3,1,3,1,9,9,3,9,3,9,4,1,3,3,1,3,3,1,3,3,1],[1,4,3,12,3,9,4,1,
2,12,9,3,3,6,18,9,1,12,9,9,6,2,9,18,18,18,6,12,4,12,3,1,3,1,6,6,4,9,1,9,9,3,
18,9,3,9,9,18,6,6,6,6,6,3,9,18,18,6,6,4,12,12,8,8,1,1,3,3,2,2,1,3,3,6,3,3,3,9,
9,3,3,3,3,6,6,4,4,4,3,1,3,1,1,1,3,3,3,3,4,1,3,3,2,2,1,1,1,1,1],[1,6,1,6,9,9,4,
2,6,6,9,18,18,18,6,18,9,6,9,36,18,6,18,4,12,12,2,6,6,3,18,3,18,9,18,9,9,18,18,
9,9,36,18,18,18,18,6,18,18,18,4,12,12,4,12,1,3,6,6,9,1,6,6,9,9,9,18,9,9,9,9,
18,9,18,12,4,12,1,3,3,9,3,1,9,3,9,9,4,1,3,3,1,3,3,3,1,3,1],[1,4,24,1,8,3,15,4,
1,12,4,5,3,12,3,12,18,21,12,12,12,12,12,2,6,6,3,6,2,6,3,18,12,30,6,12,12,4,4,
16,20,1,1,12,5,6,6,6,1,3,3,6,3,6,3,6,6,3,9,3,9,12,3,18,6,6,12,6,12,12,6,6,24,
6,12,12,6,12,12,6,24,12,12,6,6,6,6,6,3,3,24,4,4,8,8,4,8,8,8,8,1,3,1,6,2,3,6,2,
6,2,6,3,6,6,12,3,3,6,3,6,3,6,3,6,3,3,6,6,6,6,6,6,6,6,6,12,6,6,4,8,4,4,8,1,1,4,
5,3,6,3,1,6,3,3,3,6,3,6,4,1,1,2,2,1,2,2,2,2,3,1,2,1,1,2,1],[1,4,1,4,3,3,4,1,6,
4,3,6,3,3,6,3,6,6,3,8,3,6,12,6,6,4,4,4,1,1,1,6,3,6,4,3,6,3,3,3,6,3,3,3,3,3,6,
12,6,6,12,6,6,4,4,4,4,4,8,1,3,1,3,3,3,2,6,3,6,3,6,3,3,3,3,3,3,6,12,4,4,4,1,1,
1,3,3,1,3,3,3,3,4,1,1,1,1,1,2,3,1,1,1,1],[1,4,1,4,3,3,4,1,2,4,3,12,3,3,6,6,3,
6,6,3,6,3,6,6,12,4,4,4,1,1,1,1,6,6,3,6,3,6,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,
4,4,4,8,8,1,3,1,3,2,6,6,3,6,3,3,3,6,3,3,3,3,6,12,4,4,4,1,1,1,3,1,3,3,3,3,3,4,
1,1,1,2,2,3,1,1,1,1],[1,6,1,30,9,9,4,2,6,6,24,24,9,18,18,18,12,9,24,21,36,12,
6,18,12,4,16,12,12,2,24,6,6,12,12,9,18,24,18,18,6,24,12,24,12,12,9,9,6,36,6,6,
6,6,18,6,24,12,12,8,12,8,8,4,12,8,1,12,6,12,12,1,6,12,3,12,6,9,3,12,12,9,12,6,
6,6,6,12,12,4,4,4,8,8,1,4,3,3,6,1,6,6,12,3,3,6,4,2,3,2,2,1,3,2,3,1,1,1,2,2,
1],[1,4,24,1,28,3,3,4,1,12,4,3,24,12,3,12,3,12,6,3,12,12,12,12,12,12,3,2,24,
15,6,12,6,4,16,4,16,4,1,12,1,12,1,6,6,6,1,12,6,3,6,3,6,3,12,3,12,3,6,12,12,12,
6,6,6,12,6,12,6,6,6,6,24,6,24,6,6,6,6,8,4,8,8,8,8,8,8,1,6,1,6,6,6,6,6,2,6,3,6,
6,3,3,6,3,3,3,6,6,6,6,6,12,12,12,12,12,4,4,4,16,1,4,1,4,1,3,3,1,12,3,3,3,3,12,
4,2,1,2,2,2,2,2,2,3,1,1,1,4,1],[1,4,1,32,3,15,4,1,6,4,5,24,18,3,3,18,21,14,3,
6,2,24,15,18,24,30,12,6,6,12,4,16,4,20,1,12,1,5,6,12,3,12,6,1,12,6,3,3,6,9,24,
9,3,18,6,12,12,24,9,6,6,3,3,12,6,24,6,6,6,6,6,6,3,3,6,24,12,12,24,8,4,8,8,8,8,
4,4,8,1,6,1,2,6,6,3,2,3,2,6,3,6,6,12,3,6,3,3,6,3,3,3,6,12,6,9,6,6,6,6,6,6,12,
6,6,4,4,4,8,8,1,4,1,5,3,3,1,6,6,3,3,6,3,3,6,4,2,1,2,2,2,1,2,1,2,3,1,1,1,2,2,
1],[1,4,1,28,3,3,4,1,2,4,3,24,12,3,3,6,6,3,12,12,3,24,15,6,12,12,4,16,4,4,1,
12,1,1,1,6,6,12,6,6,3,3,3,6,6,12,3,3,6,12,12,12,6,6,6,6,6,6,6,6,6,8,4,8,8,8,8,
1,6,1,6,6,6,2,6,3,6,3,6,6,3,3,3,3,6,6,6,12,4,4,4,1,4,1,1,3,1,3,3,3,3,3,4,2,1,
2,2,2,2,3,1,1,1,1],[1,6,1,6,9,9,4,2,6,6,9,18,18,18,2,6,9,2,9,36,6,6,18,4,12,
12,2,6,6,1,6,1,6,9,18,3,3,18,18,9,9,36,6,6,6,6,6,6,18,6,8,12,4,12,8,1,1,2,6,3,
1,6,2,3,3,3,6,3,3,9,3,6,9,6,4,4,4,1,3,3,3,1,1,3,1,3,3,4,2,3,1,3,2,1,1,1,1,1],[
1,4,24,1,4,3,3,4,1,12,4,3,12,3,12,3,12,6,3,12,12,12,12,12,2,6,3,3,6,12,4,4,16,
4,1,1,12,1,6,6,6,6,6,1,6,3,6,3,6,3,3,12,3,6,6,6,6,12,6,12,6,6,6,6,6,6,6,8,4,8,
8,8,8,1,2,1,6,6,6,6,6,3,6,6,3,6,3,3,3,3,6,6,6,12,4,4,4,1,1,4,1,1,3,3,3,3,3,3,
4,2,1,2,2,2,2,3,1,1,1,1],[1,4,1,4,3,3,4,1,6,4,3,6,3,3,6,3,2,18,3,3,6,12,6,6,4,
4,4,1,1,1,6,3,6,12,1,6,3,3,9,6,3,3,3,3,3,6,6,12,6,6,6,8,4,8,4,4,1,2,1,6,3,3,6,
3,6,3,6,6,3,3,3,6,3,12,4,4,4,1,1,1,1,3,3,3,3,3,3,4,2,1,2,1,1,3,1,1,1,1],[1,4,
1,8,3,15,4,1,2,4,5,3,3,6,18,21,2,2,6,3,6,2,3,18,12,30,12,12,4,4,20,1,1,5,1,6,
6,1,6,1,6,3,3,3,6,3,9,9,3,18,6,6,12,6,6,24,6,6,6,6,6,3,3,24,8,4,8,8,8,8,1,2,1,
2,2,2,2,1,3,3,6,3,3,3,6,3,3,3,3,6,6,6,6,4,4,4,1,1,5,1,1,1,3,3,3,3,4,2,1,2,2,2,
2,1,1,1,1,1],[1,12,10,36,9,1,18,60,36,2,6,4,4,36,11,30,18,18,36,6,2,10,4,12,9,
6,12,12,30,18,12,12,12,36,12,4,6,18,12,18,18,1,12,4,12,2,18,9,18,1,4,36,12,2,
6,2,4,20,4,12,11,10,18,6,12,12,6,2,12,18,3,12,6,6,18,6,6,12,12,2,1,18,2,6,6,
18,6,3,1,3,6,1,3,2,4,4,6,6,4,4,10,6,4,4,6,6,1,4,4,4,12,4,4,2,6,9,6,1,4,12,4,6,
6,6,3,6,6,1,6,3,4,6,2,4,2,1,6,2,2,1,4,2,6,2,2,2,4,6,2,1,1,1,2,1,1,3,2,2,2,1,2,
2,1,2,1,1],[1,10,17,1,2,4,4,11,26,18,14,10,17,4,6,1,4,2,11,3,20,2,10,14,2,2,4,
4,11,26,18,14,2,1,2,3,1,10,6,6,4,6,1,4,2,11,3,20,2,10,14,2,1,2,1,1,2,2,1,2,3,
1,10,6,6,1,1,2,1,1,2,1],[1,10,9,1,2,4,4,11,18,24,6,2,10,9,4,6,1,4,2,9,12,1,4,
12,2,4,4,11,18,8,6,2,2,1,2,1,6,1,6,4,6,1,4,2,9,4,1,4,4,1,3,3,2,1,2,1,2,1,2,3,
1,1,1,1],[1,18,5,18,3,15,4,18,30,9,18,30,1,6,1,1,18,15,9,9,3,9,18,1,15,9,9,6,
6,6,20,12,12,6,6,6,9,6,18,6,6,6,15,18,6,9,18,15,12,1,3,3,6,3,6,3,3,3,3,9,5,9,
3,9,9,3,9,15,6,9,15,18,12,4,12,4,4,20,4,12,1,6,3,6,3,6,3,6,9,3,9,3,3,3,15,9,9,
3,3,1,3,3,3,3,3,3,3,3,1,3,3,3,1,3,3,3,9,9,3,3,4,4,4,4,4,4,4,5,3,3,3,3,3,3,3,3,
3,3,3,3,3,1,3,3,3,4,1,1,1,3,1,5,3,3,1,1,1,1,1,1,1,1],[1,8,3,24,3,9,4,1,4,2,24,
9,36,6,5,3,30,9,1,24,9,9,6,24,15,18,30,18,32,12,2,3,6,1,3,12,6,1,2,12,6,6,6,1,
6,6,8,9,36,6,15,9,30,9,12,9,9,18,9,6,36,12,3,6,6,3,15,18,18,6,4,16,8,20,12,1,
6,1,6,1,6,3,3,3,6,4,6,3,6,12,6,3,6,12,2,6,3,6,6,3,12,5,3,9,9,9,6,3,6,6,8,4,4,
8,4,8,3,2,3,6,1,3,1,2,3,6,1,3,4,1,4,2,5,3,1,2,1,1,2,1,1],[1,6,5,30,3,15,4,30,
3,30,1,1,1,18,15,9,9,3,18,6,15,18,18,1,15,3,15,6,6,6,20,4,20,6,15,18,6,6,18,6,
3,15,1,3,3,6,3,3,6,3,3,6,9,6,6,5,9,9,9,3,15,9,3,9,3,6,6,15,15,18,18,12,12,4,4,
20,4,12,12,4,1,3,6,6,15,9,3,3,9,3,6,6,3,1,3,3,3,3,1,3,3,3,3,1,3,3,3,3,9,9,3,3,
9,3,3,3,9,3,3,3,4,4,4,4,4,4,4,5,1,5,3,3,3,3,3,3,3,1,3,3,3,3,3,3,3,4,1,1,1,5,3,
3,1,3,1,1,1,1,1,1,1,1],[1,12,4,12,3,12,3,9,4,6,12,6,6,12,12,12,1,6,12,9,3,6,3,
6,18,9,6,6,1,12,6,6,9,9,6,6,9,18,18,18,6,16,8,8,12,6,3,6,6,6,6,6,6,6,6,6,6,6,
6,12,6,12,3,1,6,3,3,6,6,6,6,4,9,3,3,6,9,3,9,3,18,3,9,3,9,6,9,18,6,6,6,6,6,6,
12,12,3,9,18,6,18,6,4,4,4,8,12,4,12,4,8,1,3,6,6,3,3,3,3,3,3,6,6,6,6,12,6,6,12,
1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,9,3,9,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,2,2,3,
3,3,3,3,3,3,3,1,3,3,3,3,3,3,3,4,1,1,1,2,3,1,3,1,2,3,1,1,1,1,1,1,1,1],[1,12,4,
36,3,12,3,9,4,6,36,6,6,36,36,36,1,36,12,9,3,18,3,18,9,18,36,36,18,36,1,12,6,
18,9,9,6,9,18,18,18,16,8,24,12,3,18,18,12,18,36,36,18,36,6,6,18,18,18,18,72,3,
1,3,18,18,18,4,9,18,3,18,9,9,9,18,9,9,9,9,18,18,6,18,18,36,18,18,36,18,18,3,9,
18,18,18,18,4,4,24,24,12,12,12,24,24,1,3,9,9,6,18,6,6,18,18,18,18,18,18,18,18,
36,1,6,3,3,18,18,9,18,18,3,9,3,9,9,9,18,9,9,18,18,36,18,8,4,12,24,12,4,2,6,3,
9,3,9,6,6,18,18,1,3,9,9,4,1,1,6,6,3,3,3,6,6,3,2,1,3,6,3,1],[1,6,3,18,9,27,4,2,
18,18,9,18,54,54,1,18,27,27,12,27,108,54,108,6,54,36,24,36,6,6,18,6,18,27,54,
54,54,54,54,108,9,27,108,36,108,9,27,108,18,54,108,54,27,27,216,8,36,72,24,1,
2,18,18,1,18,12,9,18,54,54,27,27,108,27,54,108,6,54,36,24,36,6,9,6,3,18,9,27,
4,2,9,18,6,1,6,9,1],[1,4,24,3,12,3,9,4,1,12,12,9,3,12,3,12,18,9,12,12,12,12,
12,1,12,12,9,9,6,9,18,18,18,12,16,16,12,3,1,12,3,6,6,6,4,9,6,9,6,9,6,18,6,9,6,
9,12,9,18,6,12,6,12,6,6,6,12,12,6,12,12,6,24,12,12,3,9,18,6,18,6,4,8,12,8,12,
8,8,1,1,3,6,3,6,6,6,6,3,6,6,12,3,6,3,6,9,6,9,6,3,3,3,6,6,6,6,6,6,6,6,6,12,4,8,
4,4,8,4,4,3,1,6,3,3,6,3,3,3,6,3,6,4,1,2,3,2,3,2,2,3,1,2,1,1,2,1],[1,4,3,12,3,
9,4,1,2,12,9,6,3,3,18,9,1,12,9,9,6,9,18,18,18,2,6,16,12,3,1,3,6,1,6,4,9,6,9,9,
18,9,9,9,18,3,6,1,3,6,3,9,18,6,6,18,6,6,4,8,12,12,8,1,1,3,3,1,3,2,3,6,3,3,3,9,
9,3,3,3,3,6,2,6,4,4,4,4,3,1,3,3,1,3,1,3,4,1,2,3,3,2,1,1,1,1,1],[1,4,3,12,3,9,
4,1,6,12,9,3,3,18,18,9,1,12,9,9,6,6,9,18,18,18,18,16,12,3,1,3,3,18,18,4,9,3,9,
9,9,18,9,9,9,9,18,18,18,6,18,18,3,9,18,18,18,18,4,4,12,12,12,1,1,3,3,6,6,3,9,
9,18,3,3,9,9,9,9,9,9,9,18,18,4,12,12,4,3,1,3,3,9,9,9,9,4,1,1,3,3,3,3,1,3,3,
1],[1,12,4,12,3,12,3,9,16,6,12,6,6,12,12,12,1,6,12,9,3,6,3,6,18,9,6,6,1,12,6,
6,9,9,6,6,9,18,18,18,6,16,16,16,6,3,6,6,6,6,6,6,6,6,6,6,6,6,12,6,12,3,1,6,3,3,
6,6,6,6,4,9,3,3,6,9,3,9,3,18,3,9,3,9,6,9,18,6,6,6,6,6,6,12,12,3,9,18,6,18,6,4,
16,4,12,3,6,6,3,3,3,3,3,3,6,6,6,6,12,6,6,12,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,9,
3,9,3,3,3,3,3,3,3,3,3,4,4,4,4,12,4,4,4,4,3,3,3,3,3,3,3,1,3,3,3,3,3,3,3,4,1,4,
4,3,1,1,1,1],[1,6,3,18,9,27,16,2,18,18,9,18,54,54,1,18,27,27,12,27,108,54,108,
6,54,36,48,6,6,18,6,18,27,54,54,54,54,54,108,9,27,108,36,108,9,27,108,18,54,
108,54,27,27,216,4,16,4,12,2,18,18,1,18,12,9,18,54,54,27,27,108,27,54,108,6,
54,36,12,12,36,6,3,18,9,27,4,1,4,12,1,3,1],[1,4,24,3,12,3,9,16,1,12,12,9,3,12,
3,12,18,9,12,12,12,12,12,1,12,12,9,9,6,9,18,18,18,12,16,32,3,1,12,3,6,6,6,4,9,
6,9,6,9,6,18,6,9,6,9,12,9,18,6,12,6,12,6,6,6,12,12,6,12,12,6,24,12,12,3,9,18,
6,18,6,4,16,4,12,1,3,6,3,6,6,6,6,3,6,6,12,3,6,3,6,9,6,9,6,3,3,3,6,6,6,6,6,6,6,
6,6,12,4,8,4,12,8,8,1,6,3,3,6,3,3,3,6,3,6,4,1,4,4,3,1,2,1],[1,6,3,18,9,27,16,
2,18,18,9,18,54,54,1,18,27,27,12,27,108,54,108,6,54,36,48,6,6,18,6,18,27,54,
54,54,54,54,108,9,27,108,36,108,9,27,108,18,54,108,54,27,27,216,8,16,12,2,18,
18,1,18,12,9,18,54,54,27,27,108,27,54,108,6,54,36,24,36,6,3,18,9,27,8,1,12,1,
3,1],[1,6,3,18,9,27,64,2,18,18,9,18,54,54,1,18,27,27,12,27,108,54,108,6,54,36,
6,6,18,6,18,27,54,54,54,54,54,108,9,27,108,36,108,9,27,108,18,54,108,54,27,27,
216,32,16,96,48,144,2,18,18,1,18,12,9,18,54,54,27,27,108,27,54,108,6,54,36,6,
3,18,9,27,8,4,24,12,36,1,1],[1,18,1,18,9,9,16,2,12,12,18,6,36,12,15,18,30,18,
9,15,36,6,18,6,6,16,16,16,12,2,12,6,6,12,12,3,12,12,12,12,12,6,12,12,15,18,18,
18,9,12,6,9,9,3,3,12,12,36,6,6,18,6,12,12,8,16,12,12,6,12,6,6,1,6,6,6,3,12,6,
12,3,3,6,6,3,6,6,9,3,12,9,6,3,3,12,3,8,8,8,12,4,4,6,3,6,1,6,3,6,3,3,3,3,8,1,4,
3,1,1,1,1],[1,6,1,30,9,9,16,2,6,6,24,24,9,18,18,18,12,9,24,21,36,12,6,18,12,
16,32,2,24,6,6,12,12,9,18,24,18,18,6,24,12,24,12,12,9,9,6,36,6,6,6,6,18,6,24,
12,12,8,16,12,12,6,12,12,1,6,12,3,12,6,9,3,12,12,9,12,6,6,6,6,12,12,8,16,12,8,
6,1,6,6,12,3,3,6,8,1,4,3,1,2,1],[1,6,1,6,13,13,16,2,6,6,9,18,18,18,13,9,36,12,
36,6,6,16,16,16,2,6,6,9,18,18,18,9,9,6,6,36,12,6,18,6,6,1,3,6,7,3,12,6,6,8,16,
12,6,1,6,9,6,9,3,3,3,3,6,1,3,6,3,6,6,3,8,12,4,4,1,1,1,3,3,3,3,1,4,1,1,1,1,1],[
1,6,1,6,21,21,16,2,6,6,9,18,18,18,21,9,36,24,72,18,18,16,16,16,2,6,6,9,18,18,
18,9,9,18,18,36,24,18,18,18,18,3,9,18,21,9,36,18,18,8,16,12,6,1,6,9,18,9,9,9,
9,9,18,3,9,18,9,18,18,9,8,12,12,12,1,3,3,9,9,9,9,1,12,3,1,1,1,1],[1,6,1,6,9,
17,16,2,6,6,9,18,18,18,9,4,9,36,6,30,12,12,16,32,2,6,6,9,18,18,18,9,9,12,36,6,
6,6,18,6,6,2,6,12,6,6,6,6,8,16,12,6,1,6,9,6,9,6,6,6,1,3,6,3,6,6,3,8,12,8,1,2,
3,3,3,3,1,4,1,1,2,1],[1,6,1,6,9,33,16,2,6,6,9,18,18,18,9,12,9,36,6,54,36,36,
16,32,2,6,6,9,18,18,18,9,9,36,36,6,18,18,18,18,18,6,18,36,18,18,18,18,8,16,12,
6,1,6,9,18,9,18,18,18,3,9,18,9,18,18,9,8,12,24,1,6,9,9,9,9,1,12,3,1,2,1],[1,
18,25,16,2,12,12,15,42,30,30,16,16,16,12,6,3,12,6,15,9,48,4,24,30,6,8,16,12,6,
1,6,9,3,24,12,18,8,4,4,12,3,4,3,3,6,1,4,3,1,1,1,1],[1,18,9,16,16,2,12,12,15,
18,24,6,24,6,24,16,16,16,12,6,3,12,6,9,6,3,6,12,36,4,12,24,6,12,6,8,16,12,6,1,
6,3,6,3,12,12,12,6,12,8,4,4,12,3,4,3,3,6,1,4,3,1,1,1,1],[1,6,12,13,12,16,2,12,
12,9,18,6,24,12,18,6,24,16,16,16,12,6,3,12,6,9,3,6,18,6,6,18,6,1,3,6,3,15,24,
6,6,8,16,12,6,1,6,3,6,3,3,3,9,9,6,6,6,6,6,8,4,4,12,3,1,3,3,3,3,3,1,4,3,1,1,1,
1],[1,6,12,21,4,16,2,12,12,9,18,6,24,24,6,18,12,16,16,16,12,6,3,12,6,9,3,18,6,
6,6,18,6,3,9,18,1,9,12,6,6,8,16,12,6,1,6,3,6,3,9,9,3,3,6,6,6,6,6,8,4,12,4,3,3,
1,3,3,3,3,1,4,3,1,1,1,1],[1,6,12,9,16,16,2,12,12,9,18,6,24,6,24,30,16,16,16,
12,6,3,12,6,9,3,24,6,6,12,12,4,12,24,6,12,6,8,16,12,6,1,6,3,6,3,12,12,6,12,12,
8,4,4,12,3,4,3,3,6,1,4,3,1,1,1,1],[1,6,12,9,16,16,2,12,12,9,18,6,24,6,24,30,
16,16,16,12,6,3,12,6,9,3,24,6,6,12,12,4,12,24,6,12,6,8,16,12,6,1,6,3,6,3,12,
12,6,12,12,8,4,4,12,3,4,3,3,6,1,4,3,1,1,1,1],[1,12,6,12,13,1,18,36,12,4,3,18,
12,36,14,6,6,4,4,13,12,18,36,12,1,3,18,3,12,36,2,6,6,2,6,4,12,3,6,12,12,4,14,
6,3,18,18,3,9,6,6,4,6,12,1,4,3,6,3,12,12,2,6,6,2,9,1,9,1,6,6,3,3,6,6,3,3,1,3,
1],[1,12,6,12,5,1,18,36,12,4,3,18,4,12,2,10,6,4,4,5,12,18,12,12,1,1,6,1,4,12,
4,12,6,4,12,3,6,4,4,4,2,10,3,6,6,1,3,2,6,4,6,4,1,4,1,2,1,4,4,4,4,3,1,3,1,2,2,
1,1,2,2,3,1,1,1,1],[1,6,24,13,1,6,4,12,3,12,12,6,12,14,6,6,8,13,12,6,12,1,12,
6,3,3,12,12,12,2,6,6,12,2,2,4,4,3,4,12,2,4,14,6,6,6,3,3,3,6,6,6,12,12,4,2,4,1,
4,2,3,3,12,4,4,2,6,6,4,2,3,6,1,3,6,2,2,1,3,1,6,6,2,4,4,3,1,2,1,1,2,1],[1,6,24,
5,1,6,4,12,3,12,4,30,12,2,10,6,8,5,12,6,12,1,12,6,1,12,1,4,12,12,4,2,4,4,3,4,
4,10,4,2,10,6,6,3,1,6,3,2,4,2,4,1,4,2,1,4,1,4,4,4,4,3,3,1,2,2,1,1,2,1,2,3,1,1,
1,1],[1,12,3,36,7,21,4,3,4,6,36,27,36,18,9,9,54,27,1,36,21,21,18,24,27,54,54,
54,4,12,12,4,4,12,12,6,9,18,3,9,12,18,1,6,12,18,18,18,3,18,18,12,27,36,18,27,
27,54,27,36,27,27,54,9,18,36,36,9,18,18,7,27,54,54,6,1,12,4,12,4,12,12,12,12,
12,12,12,24,18,3,18,3,18,9,9,9,18,4,18,3,18,12,18,9,18,36,6,18,9,18,18,9,36,9,
9,27,27,9,18,9,18,18,1,3,3,1,1,3,3,4,12,12,4,4,12,12,6,9,18,3,9,1,6,9,18,3,9,
3,1,3,1,3,3,3,3,3,3,3,6,4,3,1,3,3,1,1,3,3,1],[1,12,1,12,7,7,4,3,4,6,12,9,12,6,
9,9,18,9,4,16,7,6,9,18,6,4,4,4,4,4,4,4,6,3,6,3,3,4,6,1,6,4,6,6,6,3,6,6,3,18,6,
24,9,9,12,3,9,9,3,6,3,6,16,18,6,1,4,4,4,4,4,4,4,4,4,4,4,6,3,6,3,6,3,3,3,6,4,1,
6,6,4,3,6,6,6,3,6,6,3,3,3,9,18,12,3,1,1,1,1,1,1,1,4,4,4,4,4,4,4,6,3,6,3,3,3,6,
1,6,3,3,1,1,1,1,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,6,24,3,18,1,3,4,6,4,12,
18,36,3,12,6,18,12,12,12,12,12,1,18,12,3,3,6,24,9,18,6,8,12,8,4,12,12,3,12,6,
6,12,1,12,12,6,6,12,6,6,3,36,6,9,6,3,18,6,3,9,36,6,6,12,12,6,12,12,24,6,24,1,
9,6,6,6,1,4,8,8,4,4,4,12,4,12,6,6,12,3,6,3,3,6,4,6,3,6,12,6,6,6,3,6,6,3,6,3,3,
3,9,6,3,6,12,6,6,12,2,3,1,2,3,4,4,4,4,4,4,4,6,3,6,3,3,1,6,3,6,3,3,1,2,2,1,1,3,
1,3,1,4,3,1,1,1,1,1,1,1,1],[1,6,24,1,18,1,13,4,6,4,12,6,6,12,12,3,12,6,18,6,
12,12,12,12,12,6,4,4,1,6,6,3,12,12,18,8,4,8,8,4,4,8,12,3,12,6,6,4,12,1,12,4,
12,6,6,12,6,3,6,6,12,3,6,3,6,6,3,12,6,6,3,12,6,6,6,6,12,12,6,12,12,6,6,4,6,1,
4,8,8,4,4,4,4,4,4,8,8,6,6,12,3,6,3,3,6,6,4,1,6,6,4,6,12,6,6,3,6,6,3,3,3,6,6,6,
3,6,6,12,2,1,2,1,2,1,2,4,4,4,4,4,4,4,6,3,6,3,3,3,6,1,6,3,3,1,2,2,1,1,1,1,1,1,
2,2,4,3,1,1,1,1,1,1,1,1],[1,24,6,24,3,18,1,3,4,36,72,12,36,72,24,24,4,18,36,3,
36,18,12,36,1,18,12,12,3,3,24,9,18,24,16,16,4,24,18,72,36,36,36,24,36,72,12,
36,36,12,12,36,12,1,12,6,36,18,36,9,18,18,18,9,36,12,36,36,12,1,9,12,6,24,16,
48,12,24,16,1,12,6,24,18,36,18,18,18,36,36,12,36,36,12,36,4,12,3,12,12,3,18,9,
36,18,18,16,24,4,16,6,4,4,1,12,3,12,18,18,12,12,1,3,4,4,6,12,3,6,4,3,4,1,4,6,
1],[1,18,3,18,3,9,2,6,4,18,18,9,18,18,12,12,1,1,6,9,9,3,1,6,3,9,6,12,12,1,9,9,
9,6,6,6,6,6,6,12,12,12,8,6,6,9,18,6,6,6,9,6,6,6,6,9,18,9,6,6,12,12,3,6,1,3,3,
3,3,6,3,9,3,3,9,9,3,3,3,3,3,6,9,9,6,6,12,6,12,2,6,6,6,12,4,12,4,4,4,4,8,8,1,3,
6,6,3,6,9,9,3,3,3,6,9,9,3,3,3,3,6,6,1,3,3,3,3,3,1,3,3,3,3,3,3,3,1,3,3,3,3,3,3,
3,6,6,4,4,4,4,4,4,4,3,3,3,2,3,3,3,3,3,3,3,3,3,3,3,3,1,3,3,4,1,1,3,3,1,1,1,2,2,
3,1,1,1,1,1,1,1,1],[1,6,24,3,18,1,3,4,6,4,12,18,36,3,12,6,18,12,12,12,12,12,1,
18,12,3,3,6,24,9,18,6,24,16,4,12,3,12,6,6,12,1,12,12,6,6,12,6,6,3,36,6,9,6,3,
18,6,3,9,36,6,6,12,12,6,12,12,24,6,24,1,9,6,6,6,4,16,8,12,8,4,8,1,6,6,12,3,6,
3,3,6,4,6,3,6,12,6,6,6,3,6,6,3,6,3,3,3,9,6,3,6,12,6,6,12,8,4,4,8,4,6,4,1,6,3,
6,3,3,1,6,3,6,3,3,4,4,1,2,3,2,1,2,3,2,1,2,1,1,1],[1,6,3,30,3,9,2,6,4,18,3,18,
12,12,6,1,1,6,9,9,3,18,1,3,15,6,12,18,12,1,9,3,15,6,6,6,6,6,6,12,4,20,8,6,9,6,
6,6,18,6,3,9,6,6,12,6,3,6,6,6,3,1,3,3,6,3,3,6,3,3,9,3,3,9,9,3,9,3,3,6,15,9,6,
6,18,12,6,12,12,2,6,6,6,4,4,12,4,4,12,4,8,8,1,3,6,6,9,3,3,3,9,3,6,6,6,6,3,3,3,
3,3,3,1,3,3,3,3,1,3,3,3,3,3,3,3,3,9,1,3,3,9,3,3,3,6,6,4,4,4,4,4,4,4,3,1,5,2,3,
3,3,3,3,3,3,3,3,3,3,1,3,3,3,4,1,1,1,3,1,3,1,2,2,3,1,1,1,1,1,1,1,1],[1,6,3,18,
5,15,4,4,18,36,3,4,18,12,1,18,15,15,24,9,24,18,24,2,18,2,6,12,24,20,12,1,12,6,
36,9,12,18,12,9,36,1,3,1,3,4,12,12,12,5,9,24,6,18,6,6,6,6,3,3,6,6,12,12,12,12,
24,16,12,16,8,8,1,4,3,12,1,3,3,4,9,3,3,3,3,12,12,12,3,3,6,12,6,6,2,2,6,6,12,
12,12,6,6,4,4,4,16,6,5,1,3,3,1,1,4,3,3,12,4,4,3,4,2,2,1,1,1,1,4,1],[1,6,3,18,
1,3,4,4,18,36,3,24,18,1,18,3,3,24,9,18,24,24,4,12,1,12,6,36,9,12,18,12,9,36,
12,12,12,1,9,6,12,16,12,16,1,4,3,12,6,3,12,9,6,6,12,6,12,24,4,8,6,1,1,3,3,6,6,
4,4,3,4,3,1,2,1],[1,6,24,3,18,1,3,16,6,4,12,18,36,3,12,6,18,12,12,12,12,12,1,
18,12,3,3,6,24,9,18,6,16,16,16,12,3,12,6,6,12,1,12,12,6,6,12,6,6,3,36,6,9,6,3,
18,6,3,9,36,6,6,12,12,6,12,12,24,6,24,1,9,6,6,6,4,16,4,12,6,6,12,3,6,3,3,6,4,
6,3,6,12,6,6,6,3,6,6,3,6,3,3,3,9,6,3,6,12,6,6,12,4,4,4,4,4,4,4,4,12,6,3,6,3,3,
1,6,3,6,3,3,4,1,4,4,3,1,1,1,1],[1,6,1,6,13,13,16,4,6,12,3,12,6,12,13,3,24,14,
42,6,6,16,16,16,4,1,4,3,12,3,3,3,3,3,12,12,12,14,6,6,6,12,12,2,6,6,14,6,12,6,
12,2,6,4,16,8,1,3,3,3,3,12,3,3,12,6,6,12,6,6,12,2,6,6,2,6,12,6,6,12,6,4,4,4,8,
8,8,8,3,1,3,6,6,6,6,4,8,8,1,1,1],[1,6,24,13,16,6,4,12,3,12,12,6,12,14,6,16,16,
16,12,6,12,1,12,6,3,3,12,12,12,2,6,6,12,2,4,16,8,6,6,3,3,3,6,6,6,12,12,4,4,4,
8,4,4,3,6,1,3,6,4,4,4,3,1,1],[1,18,25,16,6,4,12,27,54,26,30,16,16,16,12,18,1,
12,6,27,3,36,2,18,30,2,4,16,8,6,3,6,3,3,18,18,6,4,4,4,8,8,8,8,3,6,1,3,6,4,8,3,
1,1],[1,6,24,13,16,6,4,12,3,12,12,6,12,14,6,16,16,16,12,6,12,1,12,6,3,3,12,12,
12,2,6,6,12,2,4,16,8,6,6,3,3,3,6,6,6,12,12,4,4,4,8,8,3,6,1,3,6,4,8,3,1,1],[1,
6,12,13,12,16,4,6,12,3,12,12,6,12,36,14,12,6,24,16,16,16,12,1,12,6,12,6,3,3,
12,12,12,24,2,6,6,12,24,2,4,16,8,6,3,3,6,3,6,6,6,12,12,4,4,4,8,8,8,8,3,1,3,6,
6,4,8,3,1,1],[1,6,24,1,12,16,6,4,12,3,12,6,12,12,6,6,8,16,16,16,12,6,12,1,12,
6,3,3,12,12,12,2,3,3,6,12,1,1,4,16,8,6,6,3,3,3,6,3,3,6,6,6,6,6,4,4,4,8,4,4,3,
3,3,1,3,3,3,4,4,4,3,1,1],[1,12,2,36,3,6,1,3,4,6,12,6,6,12,12,12,2,12,6,6,1,18,
6,18,12,12,18,12,1,6,6,18,3,3,3,6,8,8,24,4,12,3,12,6,6,6,6,6,6,6,6,6,6,6,12,1,
6,6,6,6,12,2,6,6,3,6,3,9,6,9,3,6,6,18,6,12,6,18,12,6,6,1,3,6,6,4,8,8,8,4,12,8,
8,1,6,6,12,3,6,3,3,6,6,6,6,6,2,6,6,3,6,6,6,6,3,6,6,1,9,3,6,3,3,3,6,6,6,8,4,8,
4,4,2,2,6,1,6,3,6,3,3,6,1,6,3,3,3,4,2,1,2,2,1,3,2,2,3,2,2,1,1,1,1],[1,12,2,12,
3,6,1,3,4,6,12,6,6,12,12,12,6,2,6,6,1,6,6,6,6,6,1,6,6,6,3,3,6,3,6,6,8,8,8,4,3,
6,6,12,6,12,12,6,12,6,6,6,6,6,6,3,6,6,6,1,6,2,3,6,3,6,3,3,3,6,3,3,3,6,6,6,6,6,
6,1,3,6,6,4,4,8,8,4,4,4,8,1,3,3,3,6,6,6,12,6,6,6,6,6,6,6,3,6,3,3,2,6,3,6,6,1,
3,3,3,3,3,6,3,3,4,8,4,8,4,2,2,2,1,3,3,3,6,6,6,6,3,3,1,3,4,2,1,1,2,1,1,1,2,3,2,
2,1,1,1,1],[1,2,24,3,6,1,3,4,2,12,6,6,1,12,12,6,12,12,12,12,12,1,6,12,3,3,3,6,
12,8,16,4,6,1,6,6,6,6,2,6,6,3,6,6,6,6,6,3,6,6,6,6,6,12,12,6,12,12,6,1,3,6,6,8,
8,4,8,8,8,1,2,3,6,6,6,3,6,6,1,6,6,3,3,3,3,6,6,12,6,6,4,4,4,2,4,1,1,3,3,3,3,3,
3,4,2,2,1,2,2,2,3,1,1,1,1],[1,2,3,6,5,15,4,4,6,12,1,4,6,12,1,6,15,15,3,24,6,
24,2,18,12,8,20,12,2,12,2,12,3,12,6,12,6,12,1,3,12,12,5,3,24,6,18,6,3,3,24,16,
4,16,8,1,4,6,12,1,6,1,4,6,3,3,12,3,6,2,6,8,4,2,5,2,3,6,1,3,4,4,1,4,2,1,2,1,
1],[1,2,3,6,1,3,4,6,2,6,6,1,18,6,1,6,3,3,6,3,6,18,8,4,3,6,6,6,1,6,2,3,6,3,9,6,
9,3,6,6,6,6,6,1,3,6,6,4,8,4,12,1,3,3,3,6,6,2,3,6,1,9,3,3,3,3,3,6,12,4,4,4,2,1,
3,3,3,1,3,3,3,4,2,1,1,3,3,1,1,1,1],[1,12,2,12,3,6,5,15,4,6,12,6,6,12,12,12,6,
1,6,4,12,6,12,6,6,1,6,6,6,15,15,3,24,6,24,12,2,18,12,8,8,8,20,3,6,12,6,12,6,6,
6,6,6,6,6,6,24,2,3,6,3,3,12,6,6,3,12,6,1,6,3,12,12,12,6,12,6,6,6,6,6,12,12,5,
3,24,6,6,18,6,3,6,3,24,4,8,4,4,16,8,8,8,1,3,3,6,3,6,6,6,12,6,6,12,6,6,6,6,1,3,
4,6,3,3,6,6,3,3,3,3,6,6,12,6,6,6,2,6,4,8,4,4,8,2,2,2,5,3,6,3,3,6,1,3,6,3,3,6,
4,1,2,1,1,4,2,2,2,3,1,2,1,1,2,1],[1,12,2,12,3,6,1,3,4,6,12,6,6,12,12,12,6,1,6,
12,6,6,6,1,6,6,6,3,3,3,6,12,2,6,8,8,8,4,3,6,6,6,6,6,6,6,6,6,6,2,3,6,3,3,6,6,3,
6,6,1,3,6,6,6,6,6,6,1,3,6,6,6,6,6,6,4,8,4,4,8,8,8,1,3,3,3,6,6,6,6,6,6,12,1,3,
6,3,3,3,3,3,3,6,2,6,4,4,4,2,2,2,1,3,3,3,3,1,3,3,4,1,2,1,1,2,2,2,3,1,1,1,1],[1,
2,24,3,6,5,15,4,6,12,6,1,12,4,6,6,12,12,12,12,12,12,1,6,12,15,15,6,3,24,6,24,
6,2,18,12,8,16,20,3,6,12,12,6,6,6,6,2,3,6,3,6,12,3,6,6,12,3,1,3,12,6,12,12,12,
6,12,12,6,12,12,6,24,12,12,5,3,24,6,6,18,6,6,3,3,24,4,8,4,8,16,4,8,8,1,3,3,6,
3,6,6,6,12,6,3,6,12,1,6,4,3,3,6,6,3,3,3,3,6,6,6,12,6,6,6,6,6,6,2,6,4,8,4,4,8,
2,4,5,3,6,3,3,6,3,3,1,6,3,6,4,1,2,1,2,4,1,2,2,3,1,2,1,1,2,1],[1,2,3,6,1,3,4,
12,6,1,12,6,1,6,3,3,12,3,6,12,2,6,8,4,6,12,12,2,6,3,6,6,6,1,3,12,1,3,6,6,12,6,
6,8,4,8,8,1,6,6,6,6,6,1,6,6,6,3,3,2,6,12,8,4,2,1,6,3,6,1,3,4,2,1,2,2,3,2,1,
1],[1,2,48,3,6,1,3,4,24,6,1,24,6,24,24,24,24,24,1,6,24,3,3,3,6,2,6,8,32,4,12,
12,12,2,12,3,12,6,12,1,3,12,24,24,12,24,24,12,24,24,1,3,12,6,6,6,6,16,4,16,16,
8,1,12,6,12,6,6,1,12,6,3,3,12,12,12,12,24,12,2,6,12,8,4,2,16,8,1,6,3,6,1,3,12,
12,4,4,1,4,4,2,3,2,1,4,1],[1,2,3,6,9,27,4,6,1,4,6,12,1,6,27,27,3,24,6,24,8,72,
2,6,48,8,36,2,3,12,6,12,1,3,2,6,12,12,9,3,24,24,72,6,6,6,3,3,6,6,6,6,24,1,1,2,
21,3,12,6,42,6,6,6,6,4,16,32,8,1,1,4,3,3,6,6,12,1,3,6,6,8,2,6,6,6,3,3,6,21,3,
12,6,6,3,6,3,3,6,3,6,6,6,6,4,8,2,4,4,8,9,1,2,3,3,6,1,1,2,3,6,3,4,1,4,8,2,1,1,
2,1,1,2,1],[1,2,3,6,5,15,4,6,1,4,6,12,1,6,15,15,3,24,6,24,2,18,4,12,12,8,20,2,
3,12,6,12,1,3,12,12,5,3,24,6,18,12,12,6,3,3,24,2,6,12,12,4,16,8,16,1,1,4,3,3,
12,1,3,2,4,6,6,6,12,6,6,4,2,8,5,1,3,3,2,6,4,1,4,2,4,1,1,2,1],[1,2,3,6,5,15,4,
6,1,6,1,6,15,15,3,6,2,18,4,12,12,8,20,2,3,6,1,3,2,6,5,3,6,18,12,12,6,6,6,6,6,
6,2,1,6,6,3,3,3,12,12,1,9,3,3,4,8,16,1,1,3,3,6,6,1,3,6,3,3,2,4,6,6,6,6,3,6,6,
3,12,3,9,3,6,3,6,3,3,6,6,6,6,4,8,2,8,4,4,5,1,2,3,3,6,2,1,1,3,6,3,4,1,2,4,1,1,
2,2,1,1,1],[1,2,3,6,1,3,4,6,1,6,1,6,3,3,3,6,2,6,8,4,2,3,6,1,3,1,3,6,6,6,6,12,
12,4,8,1,1,3,3,6,6,2,6,6,6,6,6,4,2,8,1,1,3,3,6,6,4,1,2,3,1,2,1],[1,24,3,5,15,
4,12,12,12,1,12,15,15,2,18,1,3,12,16,20,12,6,12,6,6,5,6,6,18,3,3,1,6,3,3,3,6,
6,8,8,4,1,6,3,6,6,6,6,6,2,1,3,3,6,3,3,3,4,4,4,4,5,3,3,3,1,3,3,3,4,2,2,1,3,1,1,
1,1],[1,24,3,1,3,4,12,12,12,1,12,3,3,3,9,16,4,12,6,12,6,6,1,6,9,9,6,1,9,6,3,3,
8,12,1,6,3,6,6,6,6,6,3,3,3,3,3,9,4,4,4,4,1,3,3,3,3,1,3,3,4,2,3,3,1,1,1,1],[1,
6,3,18,13,39,4,18,3,12,18,36,1,18,39,39,9,72,18,72,10,90,6,18,60,4,12,12,4,4,
12,12,6,9,36,18,36,3,9,6,18,36,36,13,9,72,30,90,18,18,18,9,9,18,18,18,18,72,1,
3,6,21,9,36,18,42,18,18,18,18,12,4,12,4,12,12,12,12,12,12,12,24,1,3,12,9,9,18,
18,36,3,9,18,18,10,6,18,18,18,3,9,18,21,9,36,18,18,9,18,9,9,18,9,18,18,18,18,
4,12,12,4,4,12,12,3,1,3,1,1,3,3,3,6,9,9,18,1,3,6,9,18,9,4,1,3,3,3,3,3,3,1,3,3,
3,3,3,3,1,1,1,3,3,3,3,1],[1,24,3,1,3,16,12,12,12,1,12,3,3,3,9,16,16,16,12,6,
12,6,6,1,6,9,9,6,1,9,6,3,3,16,4,6,3,6,6,6,6,6,3,3,3,3,3,9,4,4,4,4,12,3,3,3,3,
1,3,3,4,4,4,3,1,1],[1,24,3,1,3,16,12,12,12,1,12,3,3,3,9,16,16,16,12,6,12,6,6,
1,6,9,9,6,1,9,6,3,3,16,4,6,3,6,6,6,6,6,3,3,3,3,3,9,4,4,4,4,12,3,3,3,3,1,3,3,4,
4,4,3,1,1],[1,24,3,1,3,4,12,12,12,1,12,3,3,3,9,8,12,8,4,12,12,6,12,6,6,1,6,9,
9,6,1,9,6,3,3,4,8,8,4,4,4,12,4,12,6,3,6,6,6,6,6,3,3,3,3,3,9,4,4,4,4,4,4,4,1,3,
3,3,3,1,3,3,4,3,2,3,1,1,1,1],[1,24,6,1,12,16,12,12,12,6,4,3,12,6,6,3,3,8,16,
16,16,12,6,12,6,6,12,12,6,1,3,3,6,6,3,2,3,6,6,1,6,1,16,4,8,6,3,6,6,6,6,6,3,3,
6,3,3,3,3,4,4,4,8,4,4,3,3,3,3,3,1,3,4,4,4,3,1,1],[1,24,6,1,12,16,12,12,12,6,4,
3,12,6,6,3,3,8,16,16,16,12,6,12,6,6,12,12,6,1,3,3,6,6,3,2,3,6,6,1,6,1,16,4,8,
6,3,6,6,6,6,6,3,3,6,3,3,3,3,4,4,4,8,4,4,3,3,3,3,3,3,1,4,4,4,3,1,1],[1,21,15,
27,2,1,4,4,2,45,81,9,24,6,6,8,6,18,15,12,7,9,12,36,36,6,18,27,2,1,4,2,4,18,24,
36,18,18,6,15,9,27,36,3,6,2,8,8,6,6,2,4,1,3,12,12,2,6,6,12,18,9,1,6,3,3,6,8,6,
6,12,6,1,12,6,2,2,1,1,1,3,6,2,1,2,1,1,1],[1,18,9,18,2,1,4,4,2,27,9,27,18,6,6,
9,6,6,12,18,12,6,6,27,2,1,4,2,4,18,9,9,9,18,6,2,6,6,1,6,12,6,6,2,12,9,1,3,6,1,
3,6,2,1,2,3,1,1,1,1],[1,18,9,6,2,1,4,4,2,27,9,27,18,6,6,9,6,6,12,12,6,6,2,27,
2,1,4,2,4,18,9,9,9,6,6,2,6,6,1,2,12,6,2,6,4,9,1,3,6,1,3,6,2,1,2,3,1,1,1,1],[1,
9,3,27,5,1,10,16,8,27,1,27,36,3,3,9,3,6,3,9,6,18,9,5,4,16,8,16,9,1,9,1,1,2,2,
2,4,9,9,18,18,12,1,12,3,3,24,9,3,3,6,4,3,1,3,1,2,1,2,2,4,4,3,1,3,6,1,1],[1,15,
6,2,1,4,4,2,9,9,9,8,6,15,12,6,12,6,6,2,9,2,1,4,2,4,6,9,9,9,6,8,6,2,4,1,2,6,2,
6,4,9,1,6,1,1,1,6,2,1,2,1,1,1,1,1],[1,15,18,2,1,4,4,2,9,27,27,8,6,15,12,6,18,
12,6,6,27,2,1,4,2,4,6,9,9,9,18,8,6,2,4,1,6,6,6,2,12,9,1,6,1,3,3,6,2,1,2,3,1,1,
1,1],[1,3,9,27,2,1,4,4,2,27,9,27,6,6,6,18,9,1,9,36,36,6,18,27,2,1,4,2,4,18,18,
9,9,9,3,6,2,6,1,3,12,2,6,6,12,9,1,3,6,1,3,6,1,1,1,3,1,1,1,1],[1,3,9,45,6,2,1,
4,4,2,27,18,27,9,54,6,6,6,18,9,1,15,6,36,18,12,36,12,6,6,18,6,2,27,2,1,4,2,4,
18,18,18,6,9,9,9,6,18,18,18,36,6,18,3,6,2,6,1,6,3,2,12,2,6,6,2,6,2,6,12,12,4,
18,9,1,3,6,6,3,1,6,6,6,2,6,6,6,6,12,1,1,2,1,2,3,6,1,2,1,1,2,1],[1,21,5,1,10,
16,8,1,9,9,18,3,21,6,24,9,5,4,16,8,16,3,1,3,1,1,2,2,2,4,9,9,18,3,4,24,3,3,9,6,
4,3,1,3,1,2,1,2,2,4,4,3,1,3,6,1,1],[1,18,3,5,1,10,16,8,9,1,9,18,12,3,3,6,6,24,
9,5,4,16,8,16,9,1,9,1,1,2,2,2,4,3,3,12,4,6,3,24,9,3,3,6,4,3,1,3,1,2,1,2,2,4,4,
3,3,6,1,1,1],[1,3,3,9,2,4,16,16,2,9,1,9,1,6,3,3,9,12,24,6,3,8,1,16,8,16,3,2,3,
9,9,2,1,4,4,4,12,1,8,3,3,1,3,3,6,4,3,1,3,2,4,2,4,4,1,1,2,3,1,1],[1,9,3,27,2,4,
16,16,2,27,1,27,6,6,18,36,6,6,18,9,8,1,16,8,16,18,2,18,18,2,18,1,4,4,24,1,3,3,
24,6,9,6,4,3,1,3,2,4,2,4,4,6,1,6,1,1],[1,18,3,2,4,16,16,2,9,1,9,18,6,6,12,24,
6,9,8,1,16,8,16,9,3,2,9,3,2,1,4,4,6,4,12,3,24,9,3,3,6,4,3,1,3,2,4,2,4,4,3,1,3,
6,1,1],[1,18,3,2,4,16,16,2,9,1,9,6,12,18,24,6,6,9,8,1,16,8,16,2,9,3,2,9,3,1,4,
4,6,3,12,4,24,9,3,3,6,4,3,1,3,2,4,2,4,4,3,3,1,6,1,1],[1,6,3,2,4,16,16,2,3,1,3,
12,12,6,4,6,3,8,1,16,8,16,6,6,2,6,2,6,1,4,4,6,8,3,8,6,6,1,4,3,1,3,2,4,2,4,4,3,
2,2,1,1],[1,54,3,2,4,16,16,2,27,1,27,6,36,36,144,144,6,36,27,8,1,16,8,16,2,18,
18,2,18,18,1,4,4,24,3,6,48,24,48,18,18,9,36,36,4,1,3,3,2,4,2,4,4,3,6,12,6,12,
1,1],[1,3,3,9,2,4,16,16,2,1,9,9,6,12,24,6,3,1,9,3,3,8,1,16,8,16,2,2,9,3,9,3,1,
4,4,3,1,3,4,12,8,3,1,3,6,4,1,3,3,2,4,2,4,4,1,3,1,2,1,1],[1,3,7,21,1,21,21,7,
63,42,8,7,21,63,1,21,42,24,7,3,21,8,1,1,3,1],[1,6,5,30,3,15,1,30,3,30,15,15,1,
15,3,15,1,2,3,5,10,15,15,3,15,5,15,15,15,6,1,3,3,6,1,10,10,1,1,15,5,15,5,1,15,
3,6,6,3,1,3,3,3,3,1,5,5,5,5,5,5,2,3,1,2,3,3,3,3,1,3,3,3,5,1,2,2,1,1,3,1,3,1,3,
1,1,1,1,1,1,1,1],[1,6,5,30,1,5,1,30,3,30,10,15,5,15,15,1,2,1,5,10,5,30,15,30,
5,15,6,1,1,1,6,1,10,10,5,5,5,5,10,1,15,3,6,6,2,1,3,3,3,5,10,10,5,5,2,1,1,2,1,
3,6,6,1,3,5,1,2,2,1,1,1,1,2,3,1,2,2,1,1,1],[1,6,5,30,1,5,1,30,3,30,5,30,15,10,
1,2,1,5,10,5,15,5,15,6,1,1,1,6,1,10,10,5,5,10,10,1,15,3,6,6,1,6,3,2,5,5,5,2,1,
1,2,1,3,1,3,5,1,2,2,1,1,2,2,3,1,1,1,1],[1,5,3,15,1,15,15,45,1,15,1,3,5,15,45,
5,45,1,3,3,1,15,15,15,5,1,15,3,3,9,1,3,5,15,15,3,1,3,1,9,9,5,1,3,3,3,1,3,1,3,
3,1],[1,5,3,15,1,10,15,1,15,10,1,3,5,15,5,5,5,1,3,3,1,15,15,10,10,1,5,2,3,1,3,
2,5,5,5,3,1,3,1,1,1,5,1,3,3,2,2,1,1,1,1,1],[1,5,1,5,1,15,5,15,3,15,10,1,1,5,5,
15,5,15,1,1,1,1,5,5,5,5,10,1,15,1,3,3,3,3,2,5,5,5,1,1,1,1,3,3,5,1,1,1,1,1,2,3,
1,1,1,1],[1,5,1,5,1,10,5,30,3,15,1,1,5,5,5,15,15,1,1,1,1,5,5,10,10,1,15,2,1,6,
3,3,5,5,5,1,1,1,1,3,3,5,1,1,1,2,2,3,1,1,1,1],[1,5,3,15,4,30,15,1,15,30,1,20,
15,5,15,1,3,3,20,1,4,15,6,3,1,3,6,5,4,3,1,3,5,4,1,3,1,1],[1,6,5,30,3,15,4,30,
3,30,15,15,1,15,3,15,1,20,4,20,15,3,15,5,15,15,15,6,1,3,3,6,20,1,4,15,3,6,6,3,
1,3,3,3,3,5,1,5,4,4,4,3,3,3,1,3,3,3,5,4,1,3,1,1,1,1],[1,5,3,15,4,5,15,15,1,15,
1,20,15,5,15,1,3,3,20,1,4,5,3,1,3,1,3,5,4,1,3,3,5,4,1,1,1,1],[1,6,5,30,3,15,4,
30,3,30,15,15,1,15,3,15,1,20,4,20,15,3,15,5,15,15,15,6,1,3,3,6,20,1,4,15,3,6,
6,3,1,3,3,3,3,5,1,5,4,4,4,3,3,3,1,3,3,3,5,4,1,3,1,1,1,1],[1,11,25,15,10,25,45,
5,15,15,15,15,6,20,10,20,10,10,15,15,15,5,15,15,15,6,6,6,10,20,20,10,10,5,15,
6,6,6,10,5,5,5,6,5,1,1,1,1,1],[1,2,15,30,1,15,10,30,1,30,5,30,15,15,15,30,6,
20,10,10,10,20,10,15,30,5,15,12,6,6,6,12,10,20,20,10,10,5,5,6,12,12,6,6,10,10,
5,6,5,1,2,1,1],[1,11,15,15,10,10,15,15,10,30,5,15,15,15,15,6,20,10,10,10,10,
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],[1,20,15,1,15,10,30,10,30,5,30,15,15,6,20,20,10,10,10,30,15,30,5,15,6,
6,6,20,10,20,10,10,5,15,12,6,10,10,5,6,5,1,2,1,1],[1,25,1,25,10,5,15,15,25,15,
45,15,6,20,10,20,10,10,15,5,15,15,15,15,15,6,6,6,20,10,20,10,10,5,15,6,6,6,10,
5,5,5,6,5,1,1,1,1,1],[1,15,3,45,10,5,45,45,1,45,30,6,10,30,30,15,15,45,6,18,
18,30,10,30,5,5,18,6,18,10,15,6,5,1,3,1],[1,15,1,35,10,5,15,15,30,30,10,30,6,
10,10,30,20,5,30,15,15,30,6,6,6,10,20,10,10,20,5,15,6,12,10,5,10,6,5,1,1,2,
1],[1,15,1,15,10,5,15,15,10,30,6,10,10,10,5,15,15,6,6,6,10,10,10,5,15,6,12,10,
5,6,5,1,1,1],[1,15,1,15,10,5,15,15,1,15,6,10,10,10,5,15,15,6,6,6,10,10,10,5,5,
6,6,6,10,5,6,5,1,1,1],[1,15,20,1,15,10,30,5,30,15,15,10,30,6,20,10,20,10,10,
30,15,30,5,15,6,6,6,5,20,10,20,10,10,15,12,6,10,5,10,6,5,1,2,1,1],[1,1,15,25,
10,10,15,10,15,5,15,15,15,15,30,6,10,10,10,10,10,10,10,15,5,15,15,15,15,15,6,
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],[1,1,15,25,10,10,
15,10,15,5,15,15,15,15,30,6,10,10,10,10,10,10,10,15,5,15,15,15,15,15,6,6,6,10,
10,10,5,10,10,10,10,15,6,6,6,5,10,5,5,6,5,1,1,1,1,1],[1,15,3,45,10,5,45,45,1,
45,30,6,10,30,30,15,15,45,6,18,18,5,30,10,30,5,18,6,18,15,10,6,5,1,3,1],[1,15,
1,15,10,5,15,15,10,30,6,10,10,10,5,15,15,6,6,6,5,10,10,10,15,6,12,5,10,6,5,1,
1,1],[1,2,15,30,1,15,10,30,1,30,5,15,15,30,15,30,6,20,10,10,10,20,15,10,30,5,
15,12,6,6,6,12,10,20,20,5,10,10,5,6,12,12,6,6,10,10,5,6,5,1,1,2,1],[1,15,1,15,
10,10,10,5,15,15,15,15,15,15,10,30,6,10,10,10,10,10,10,10,5,15,15,15,15,15,15,
6,6,6,5,10,10,10,10,10,10,10,15,6,6,6,5,5,5,10,6,5,1,1,1,1,1],[1,15,1,15,10,5,
15,15,1,15,6,10,10,10,5,15,15,6,6,6,5,10,10,10,5,6,6,6,5,10,6,5,1,1,1],[1,15,
1,15,20,10,5,15,15,30,30,10,30,6,10,10,10,20,20,5,30,15,15,30,6,6,6,5,10,20,
10,10,20,15,6,12,5,10,10,6,5,1,1,2,1],[1,3,4,56,7,1,21,1,28,7,1,14,3,4,8,1,1,
7,3,4,1,2,1,1],[1,8,10,24,3,30,9,27,12,40,4,12,40,24,24,2,4,4,4,24,30,18,36,
12,11,20,18,12,66,54,12,24,24,20,24,1,30,4,12,27,27,12,4,24,33,108,66,108,12,
6,54,2,6,36,4,8,8,6,4,24,8,20,12,20,12,8,8,20,24,8,8,24,8,20,24,24,8,4,12,20,
12,12,8,20,24,48,4,6,12,6,12,18,8,2,8,12,12,12,12,12,12,1,8,4,12,12,12,12,8,2,
12,12,12,12,8,12,8,10,18,2,36,12,12,6,20,33,10,54,6,66,10,54,6,24,54,12,54,
108,9,12,36,24,6,12,9,12,27,1,3,4,12,24,12,24,108,12,36,108,12,12,12,20,24,12,
20,24,12,16,12,16,8,8,24,24,24,24,9,33,108,12,12,18,54,6,6,108,12,6,54,27,12,
27,6,6,12,12,12,12,216,8,2,8,12,12,4,8,2,8,8,8,4,8,4,8,8,6,2,12,4,10,6,10,6,
12,12,6,8,4,4,12,4,12,12,4,4,4,24,4,8,4,8,4,8,8,8,20,12,12,4,4,12,4,20,12,12,
4,8,12,8,8,8,24,24,12,20,24,24,12,12,8,12,2,12,2,2,12,4,18,6,18,6,6,12,1,12,2,
4,18,6,12,12,4,4,4,8,2,2,4,4,6,6,6,6,4,12,4,2,12,12,2,4,24,4,12,4,4,3,4,12,12,
12,4,4,6,12,24,1,2,3,4,12,4,4,4,6,12,12,4,4,6,24,4,1,6,6,12,12,4,4,6,4,4,12,
12,2,2,12,4,24,24,11,10,18,6,54,6,54,6,6,6,6,6,9,12,12,4,6,4,12,6,4,10,10,6,6,
27,6,27,6,3,3,12,12,12,12,12,108,12,12,12,12,12,27,6,54,12,12,108,12,3,2,3,6,
12,6,4,6,8,8,3,6,8,8,12,24,12,4,8,8,4,24,12,12,6,2,54,6,12,12,4,36,4,12,6,6,4,
4,8,2,4,6,6,4,4,4,12,4,4,4,1,4,4,4,4,8,2,2,4,4,2,4,4,4,4,4,4,4,10,6,6,6,6,4,2,
2,6,2,6,6,2,2,2,12,4,12,4,4,2,2,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,12,4,4,4,
4,4,12,4,4,4,4,24,4,4,6,12,4,1,4,6,6,6,6,6,6,4,2,3,6,6,2,18,6,6,2,12,3,4,6,12,
8,4,4,2,4,4,2,2,4,6,6,6,6,2,4,2,6,2,1,6,6,2,2,12,2,4,2,1,4,4,6,4,12,2,4,4,1,4,
4,3,1,3,1,3,6,4,2,4,6,4,2,4,2,2,3,6,6,2,2,3,12,6,6,2,2,1,6,6,2,2,9,6,1,4,12,
27,6,6,6,12,6,2,1,12,3,2,3,12,2,1,3,6,6,2,2,12,6,6,8,4,4,4,4,4,2,4,2,4,6,2,2,
2,6,2,2,4,1,4,2,4,1,1,2,2,2,2,2,2,2,2,2,6,2,2,2,6,2,2,2,2,2,2,2,2,2,2,4,4,4,4,
2,2,3,2,6,2,1,6,2,2,2,6,2,2,3,2,6,2,2,2,2,2,2,1,2,2,6,2,1,6,2,2,2,2,1,2,2,1,1,
3,2,1,1,1,2,1,2,3,2,2,2,1,2,1,2,1,2,2,2,2,2,1,1,2,2,2,2,1,2,1,2,1,1,1],[1,8,
10,24,1,10,17,17,12,40,4,12,40,24,24,2,4,4,4,24,10,6,12,4,11,20,26,28,22,26,
12,24,24,20,24,17,11,52,18,54,14,14,4,8,8,6,4,24,8,20,28,20,28,8,8,20,24,8,8,
24,8,20,24,24,8,12,20,48,4,2,4,6,12,6,8,2,8,12,12,12,12,4,4,1,8,4,4,4,4,4,8,2,
4,4,12,12,8,12,8,11,10,26,14,18,12,18,3,4,2,11,20,11,3,3,20,20,40,12,40,44,20,
12,12,8,8,18,14,22,6,20,20,2,10,14,14,10,28,14,20,8,2,6,8,2,8,12,12,4,8,2,8,8,
8,4,8,4,8,8,10,14,12,12,6,8,4,4,20,4,12,20,4,12,12,40,4,8,4,8,4,8,8,8,4,12,4,
8,12,8,8,8,4,2,4,6,6,2,1,12,2,4,6,2,12,4,4,8,6,6,4,12,4,2,12,12,2,4,24,1,4,4,
2,4,3,6,3,4,2,2,4,1,2,2,6,2,2,12,4,11,10,3,20,20,9,2,12,3,6,3,12,1,10,6,10,6,
20,6,4,6,12,4,4,8,8,8,8,2,10,14,4,2,10,12,20,10,6,12,4,6,4,4,8,6,4,4,4,12,4,1,
4,4,8,6,6,2,4,4,4,4,4,2,10,2,6,4,12,4,4,6,6,4,4,4,4,4,4,2,1,4,2,1,6,2,2,1,4,2,
2,2,2,2,2,4,6,2,1,2,4,2,4,4,3,3,1,1,6,1,2,3,1,6,2,1,1,2,2,1,4,4,10,6,6,2,6,6,
6,2,6,2,2,2,4,4,4,4,2,2,4,2,2,2,4,3,2,2,2,6,2,2,2,2,1,2,1,2,1,2,2,1,2,2,2,2,2,
4,1,3,1,1,1,2,1,2,2,2,1,2,2,1,1,2,2,1,1,1,1,1],[1,8,10,24,1,10,9,25,12,40,4,
12,40,24,24,2,4,4,4,24,10,6,12,4,11,20,18,12,22,34,12,24,24,20,24,9,8,11,36,
16,16,6,42,2,26,24,4,8,8,6,4,24,8,20,12,20,12,8,8,20,24,8,8,24,8,20,24,24,8,
12,20,32,48,4,2,4,6,12,6,8,2,8,12,12,12,12,4,4,1,8,4,4,4,4,4,8,2,4,4,12,12,8,
12,8,11,10,18,6,8,8,18,12,18,3,4,2,9,12,13,1,5,4,36,24,12,24,36,12,8,8,12,12,
8,8,16,16,6,12,2,12,18,2,8,2,2,4,4,4,16,16,4,12,24,4,12,14,14,8,20,4,8,2,2,8,
2,8,12,12,4,8,2,8,8,8,4,8,4,8,8,10,6,8,12,12,6,8,4,4,12,4,12,12,4,4,4,24,4,8,
4,8,4,8,8,8,4,12,4,8,12,8,8,8,16,8,8,16,4,2,4,6,6,2,1,12,2,4,6,2,12,4,4,8,6,6,
4,12,4,2,12,12,2,4,24,1,4,4,2,4,1,2,5,4,2,2,4,1,2,2,6,2,2,12,4,9,6,2,4,1,2,4,
16,12,8,9,2,12,1,2,1,4,4,4,8,4,1,12,12,8,20,4,8,6,6,4,4,4,8,8,8,8,2,6,12,2,4,
4,2,6,12,12,6,4,4,4,4,4,2,2,4,4,4,4,4,4,4,8,6,4,4,4,12,4,1,4,4,8,2,2,2,4,4,4,
4,4,2,6,2,4,4,2,4,12,4,4,2,2,8,8,4,4,4,4,4,4,2,1,4,2,1,6,2,2,1,4,2,4,2,2,2,4,
6,2,1,2,4,2,4,4,1,1,2,2,1,2,2,2,2,2,1,1,4,1,4,4,6,6,4,2,2,4,6,6,1,2,1,1,1,2,4,
4,2,2,4,4,2,2,4,4,4,4,2,2,4,2,2,2,4,1,2,2,2,2,2,2,2,2,2,4,1,2,2,2,1,2,1,1,4,2,
2,2,2,2,1,1,1,1,2,2,2,1,2,1,2,1,2,2,1,1,2,2,1,1,1,1,1],[1,8,6,8,3,18,13,39,12,
24,4,12,24,8,8,4,18,36,3,12,12,24,18,36,4,12,1,18,4,4,39,39,24,9,72,18,72,24,
14,126,6,18,84,8,6,24,12,24,12,24,12,8,12,24,4,12,12,4,4,12,48,12,1,12,6,36,6,
12,9,6,36,12,18,6,36,12,9,36,3,12,9,3,9,12,36,24,24,36,12,36,12,4,12,12,4,24,
24,13,9,72,4,42,126,18,18,6,18,9,12,9,18,18,36,36,36,36,72,2,6,6,42,18,36,18,
84,18,18,36,36,2,18,6,6,4,2,8,6,12,6,12,6,12,6,12,12,12,12,24,12,12,4,12,12,
24,4,12,12,12,24,4,4,3,12,4,3,6,9,3,6,12,12,9,12,6,6,12,12,9,6,9,6,9,9,36,36,
12,12,36,12,12,12,9,6,9,18,36,18,12,18,24,6,18,36,36,6,18,36,18,18,14,6,18,18,
36,36,6,18,18,42,18,36,18,36,6,18,36,18,18,18,36,18,18,36,18,36,36,36,36,18,
36,18,36,18,18,36,36,36,36,4,1,4,6,6,6,12,6,6,6,6,6,12,6,6,12,12,4,4,1,1,9,3,
9,3,1,6,9,6,6,3,6,3,12,12,9,6,9,36,6,6,6,6,12,18,18,36,18,18,36,18,9,6,9,12,
12,18,18,6,36,36,2,6,6,2,18,36,18,18,36,18,12,18,36,18,6,6,1,3,3,2,6,6,6,6,6,
6,6,12,3,3,3,3,3,3,9,3,6,6,6,18,18,3,1,3,1,3,1,3,1],[1,8,6,8,3,18,5,15,12,24,
4,12,24,8,8,4,18,36,3,12,4,8,18,12,4,12,1,18,4,4,15,15,24,9,24,18,24,8,2,18,
10,30,12,8,6,24,12,8,12,8,12,8,12,24,4,12,12,4,4,12,16,12,1,12,6,36,6,12,9,6,
12,4,18,6,12,4,9,36,1,4,3,1,3,4,12,8,8,12,4,12,4,4,12,12,4,8,8,5,9,24,4,6,18,
30,30,6,6,3,4,3,6,6,12,12,12,12,24,4,12,24,24,8,8,4,2,8,6,12,6,4,6,4,6,4,4,4,
4,8,12,12,4,12,12,8,4,12,4,4,8,4,4,3,12,4,1,2,3,3,6,4,4,9,12,6,6,4,4,3,2,3,2,
3,3,12,12,4,4,12,4,4,4,3,2,3,6,12,6,4,6,8,2,6,4,4,2,10,6,6,12,12,12,12,24,4,4,
12,6,6,12,12,4,4,4,1,4,2,2,6,4,6,2,2,2,2,4,2,2,4,4,4,4,1,1,3,1,3,1,1,2,3,2,1,
2,1,4,4,3,2,3,12,2,2,2,2,4,6,6,2,2,6,3,3,2,2,4,4,12,4,4,4,1,1,1,2,2,2,2,2,2,2,
2,1,1,1,1,3,1,3,1,2,2,6,2,1,1,1,1,1,1,1,1],[1,8,6,8,1,14,13,21,12,24,4,12,24,
8,8,4,6,4,12,8,3,12,12,24,14,16,4,12,4,8,13,4,4,4,11,48,16,28,4,14,50,6,22,8,
8,6,24,12,24,12,24,12,8,12,24,8,4,8,8,12,8,4,8,1,4,8,2,2,4,4,3,6,12,12,4,4,2,
2,8,4,8,12,3,8,4,4,3,12,3,3,3,12,12,24,24,20,12,4,8,4,8,8,8,8,4,12,4,14,4,6,8,
20,4,14,4,4,6,28,12,8,8,32,2,6,6,14,14,28,6,8,8,12,8,2,6,8,4,2,8,2,4,6,12,4,2,
6,12,12,12,12,24,4,4,4,4,4,8,8,8,4,4,1,4,4,4,8,3,6,3,2,2,4,4,2,2,4,4,2,4,2,3,
6,3,12,12,4,4,4,4,4,4,2,4,2,4,8,3,6,3,12,2,2,8,6,6,4,12,6,6,12,4,4,8,4,2,6,6,
4,8,4,2,4,4,14,8,12,6,4,12,4,8,8,6,12,6,4,4,1,4,6,6,2,4,2,6,2,2,6,4,6,6,4,4,2,
2,3,3,2,2,1,6,3,2,6,2,1,2,2,2,4,2,2,1,4,2,1,1,6,2,6,2,2,2,4,2,2,6,1,1,2,6,4,2,
2,4,4,4,4,4,4,4,4,2,3,2,6,2,2,2,2,2,2,1,2,1,1,3,1,1,2,2,4,2,2,2,2,2,2,1,1,1,1,
1,1,1,1],[1,8,6,8,1,14,5,29,12,24,4,12,24,8,8,4,6,4,12,8,3,12,4,8,14,24,4,12,
4,8,5,12,4,4,11,32,16,44,20,2,38,10,18,32,8,6,24,12,8,12,8,12,8,12,24,8,4,8,8,
12,40,4,8,1,4,8,2,2,4,4,3,6,4,4,4,4,10,10,8,4,8,12,3,8,4,4,1,4,5,1,5,4,20,8,8,
12,4,4,16,8,4,8,8,8,8,16,16,4,12,4,2,16,10,4,20,4,10,6,8,6,2,4,4,20,16,16,32,
4,4,8,8,20,12,14,14,16,12,8,4,2,2,4,2,8,2,4,6,4,4,10,6,4,4,4,4,8,4,4,4,4,4,8,
16,8,8,8,8,16,4,4,1,4,4,4,8,1,2,5,2,2,4,4,2,2,4,4,2,4,2,1,2,2,4,1,2,4,8,4,4,8,
4,4,4,4,4,2,4,2,4,8,1,2,1,4,4,4,8,4,2,2,8,2,4,2,8,12,4,4,8,6,6,4,8,4,4,2,2,4,
10,4,4,2,4,4,12,8,6,8,4,6,4,12,4,12,4,4,2,2,4,4,4,4,4,1,4,2,2,2,4,2,2,2,4,2,4,
2,4,2,2,8,8,4,4,2,2,1,1,2,2,2,2,1,2,2,1,2,1,2,2,2,4,2,2,1,4,2,1,1,2,2,4,2,2,4,
2,2,4,2,2,2,1,2,1,4,4,2,2,2,4,4,4,2,2,4,4,4,4,8,4,4,2,1,2,2,2,2,2,2,2,2,2,4,1,
2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,10,3,30,17,51,2,4,4,30,18,
36,12,11,26,66,78,1,30,51,51,12,24,33,156,66,156,18,162,14,42,108,4,6,12,6,18,
12,12,1,4,12,12,12,12,2,12,12,10,18,36,12,33,78,66,78,24,54,54,108,9,12,36,24,
6,12,11,33,3,9,20,60,132,36,132,17,33,156,54,162,42,42,108,6,66,33,33,18,18,
60,60,60,60,264,2,10,14,42,30,84,42,84,42,42,60,60,2,18,6,6,12,2,12,2,12,18,
18,6,12,1,2,18,6,12,4,12,3,12,12,12,6,12,24,3,9,4,12,6,12,12,6,24,1,6,6,11,26,
54,54,9,12,6,33,33,9,9,60,60,132,12,12,27,6,54,12,108,9,9,18,36,18,18,3,6,10,
6,30,18,60,60,6,18,36,18,18,18,14,66,18,60,60,6,30,42,42,30,84,42,60,6,18,36,
36,18,18,30,36,60,30,30,36,60,30,60,60,60,60,18,36,18,36,18,18,36,36,36,36,4,
6,12,1,6,6,6,3,6,18,6,3,6,12,2,6,1,4,6,12,9,9,3,6,1,1,9,3,6,2,6,3,6,6,3,12,2,
6,11,3,20,27,6,9,9,36,3,30,18,30,18,60,18,18,36,6,6,18,18,18,18,18,6,9,3,9,3,
18,18,36,36,6,6,6,6,2,10,14,2,30,36,60,30,18,36,18,12,36,12,18,36,18,6,6,2,3,
6,1,3,1,2,3,6,6,6,6,3,3,3,3,3,3,9,3,3,3,6,1,3,6,6,6,3,3,10,6,6,18,18,18,6,18,
6,6,6,6,6,6,1,3,3,2,6,1,1,3,3,2,6,1],[1,10,3,30,9,27,2,4,4,30,18,36,12,11,18,
16,66,54,1,30,27,27,12,24,33,108,66,108,16,6,54,2,6,36,4,6,12,6,18,12,12,1,4,
12,12,12,12,2,12,12,10,18,36,12,33,54,8,66,54,8,24,54,54,108,9,12,36,24,6,12,
9,8,27,1,3,4,12,108,8,36,108,8,9,33,108,18,54,6,6,108,6,54,27,8,27,6,6,12,12,
12,12,216,8,8,12,2,12,2,12,18,18,6,12,1,2,18,6,12,4,12,3,12,12,12,6,12,24,1,4,
3,4,12,6,12,12,6,24,1,6,6,11,18,8,54,54,9,12,6,27,4,27,4,3,3,12,12,108,8,12,
12,27,6,54,12,108,3,4,3,6,12,6,8,6,16,3,6,4,4,6,2,54,6,12,12,4,4,36,12,6,6,4,
4,4,6,12,1,6,6,6,3,6,18,6,3,6,12,1,4,6,12,3,2,3,2,3,6,2,2,2,2,2,6,3,6,6,3,12,
9,4,1,4,27,6,3,4,3,12,3,2,2,6,6,2,2,4,4,2,2,4,4,4,4,2,3,6,2,1,2,3,6,2,1,2,3,1,
1,1,1,2,2,4,1,3,2,2,2,4,1,1,1,1,1,1,1,1],[1,10,1,10,17,17,2,4,4,10,6,12,4,11,
26,22,26,4,12,17,4,11,52,28,18,54,14,14,4,2,4,6,6,4,4,1,4,4,4,4,4,2,4,4,2,12,
6,20,11,26,10,14,18,18,3,4,2,11,11,3,3,20,20,44,20,12,12,12,18,14,12,22,20,6,
20,20,2,10,14,14,10,28,14,20,2,6,8,4,2,4,2,4,6,6,2,1,2,6,2,4,4,4,1,4,4,4,2,4,
3,3,4,4,2,4,4,2,1,2,2,6,6,6,12,10,14,11,10,3,20,20,9,2,12,3,3,12,12,1,10,6,10,
6,20,6,6,12,4,4,2,10,14,4,2,4,10,12,20,10,6,12,6,4,4,2,4,1,2,6,2,1,2,6,2,1,2,
2,2,2,4,1,4,3,3,1,1,1,3,1,2,2,2,1,2,2,1,2,2,6,1,1,10,6,10,6,6,2,6,6,6,2,6,2,6,
6,2,2,4,4,4,4,2,1,2,1,1,2,2,2,2,2,2,1,3,1,1,3,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,10,1,10,9,25,2,4,4,10,6,12,4,11,18,16,22,34,4,12,9,8,4,11,36,16,12,6,42,
2,26,24,4,2,4,6,6,4,4,1,4,4,4,4,4,2,4,4,2,12,6,20,11,18,8,10,8,6,18,18,3,4,2,
9,8,13,1,5,4,36,36,8,8,12,12,12,12,6,12,2,12,12,18,2,12,2,2,4,4,4,16,16,4,12,
24,4,12,14,14,8,20,8,4,2,2,4,2,4,2,4,6,6,2,1,2,6,2,4,4,4,1,4,4,4,2,4,1,4,5,4,
4,2,4,4,2,1,2,2,6,6,6,12,10,6,8,9,4,2,6,1,2,4,16,12,8,9,2,12,1,4,1,4,4,4,4,4,
1,12,12,8,20,4,4,8,6,6,4,2,6,12,2,4,4,2,4,6,12,12,6,4,4,4,4,4,4,2,2,4,4,4,4,4,
2,4,1,2,6,2,1,2,6,2,1,2,4,2,4,1,4,1,2,2,1,1,2,2,2,2,2,2,2,2,1,2,2,1,4,6,1,1,6,
4,2,4,6,6,4,2,2,4,6,6,1,1,1,1,4,4,2,2,4,4,2,2,4,4,4,4,2,1,2,2,2,2,2,2,2,1,1,1,
1,2,1,1,1,1,2,2,2,2,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,6,16,3,18,13,39,4,4,8,18,36,
3,8,12,4,18,36,8,8,8,8,8,1,18,8,39,39,4,24,9,72,18,72,4,14,126,6,18,84,8,2,8,
4,8,8,4,12,1,8,12,4,4,8,4,6,2,36,4,9,4,36,2,18,4,36,2,9,36,3,9,3,9,12,36,8,4,
8,36,36,4,8,8,4,8,8,16,4,16,8,8,16,8,8,13,9,72,4,42,126,18,18,4,6,18,9,9,18,
18,36,36,36,36,72,2,6,6,42,18,36,18,84,18,18,36,36,8,2,18,8,6,6,4,4,8,2,4,2,4,
2,4,4,4,2,4,2,8,4,4,3,4,12,4,3,9,4,4,2,4,4,2,2,8,3,4,12,2,2,4,4,2,9,4,2,9,9,9,
9,36,36,4,4,4,36,4,4,9,9,18,36,18,18,8,6,18,36,36,6,4,18,36,18,18,4,4,4,4,8,8,
4,4,4,8,8,8,8,8,8,8,8,14,6,18,18,36,36,4,6,18,18,42,18,36,18,36,4,4,6,18,4,36,
18,18,18,36,18,18,36,18,36,36,36,36,18,36,4,18,36,18,18,4,36,36,36,36,4,2,4,2,
2,2,4,2,2,1,2,2,4,2,2,4,4,4,4,1,4,2,4,9,9,1,2,9,6,2,2,2,1,2,2,4,4,4,4,3,3,12,
4,2,1,4,9,9,36,1,18,18,36,18,2,18,2,36,18,9,9,2,18,2,18,36,36,4,4,4,4,4,4,4,4,
4,4,4,4,2,6,6,4,2,18,36,18,18,36,4,18,4,4,4,4,4,4,4,4,12,18,36,18,6,4,4,6,2,1,
2,2,2,4,2,1,2,1,2,2,2,2,4,3,1,3,1,9,1,1,1,2,2,6,6,2,2,2,18,18,2,2,2,4,4,4,4,4,
4,4,4,1,1,1,2,2,1,1,1,1,2,2,1],[1,6,16,3,18,5,15,4,4,8,18,36,3,8,4,20,18,12,8,
8,8,8,8,1,18,8,15,15,4,24,9,24,18,24,20,2,18,10,30,12,8,2,8,4,8,8,4,12,1,8,12,
4,4,8,4,6,2,36,4,9,4,12,10,18,4,12,10,9,36,1,8,3,1,3,4,12,8,4,8,12,8,12,8,4,8,
8,4,8,8,16,4,16,8,8,16,8,8,5,9,24,4,6,18,30,30,4,6,6,3,8,3,6,6,12,12,12,12,24,
4,12,24,24,4,4,8,2,4,2,4,2,4,4,4,2,4,2,8,4,4,3,4,12,4,1,4,3,4,4,2,4,4,2,2,8,3,
4,4,10,2,4,4,2,9,4,2,3,4,3,4,3,3,12,12,4,4,4,12,4,8,4,3,4,3,6,12,6,8,6,8,16,2,
6,4,4,4,8,8,4,4,4,2,10,6,6,12,12,4,12,12,24,4,12,6,6,12,12,4,2,4,2,2,2,4,2,2,
1,2,2,4,2,2,1,4,2,4,3,2,3,2,2,1,3,2,2,2,1,2,2,1,4,1,4,4,2,1,4,3,4,3,12,1,6,6,
6,2,3,3,4,4,2,4,4,4,4,4,12,2,1,2,2,2,2,1,2,1,2,2,1,2,1,1,3,1,3,2,1,1,2,6,1,1,
1,1,1,1,1,1],[1,6,16,1,14,13,21,4,4,8,6,4,12,8,3,8,12,4,14,16,8,8,8,8,8,4,4,4,
13,4,4,11,48,16,28,24,14,50,6,22,8,8,2,8,4,8,8,4,4,8,1,8,4,8,4,4,8,4,2,4,6,12,
3,4,12,2,4,6,2,12,8,4,8,12,3,8,4,4,3,3,3,3,12,12,8,4,8,20,4,8,12,8,8,4,8,8,4,
8,8,16,8,8,4,12,4,14,4,6,8,20,14,4,12,4,6,28,12,8,8,32,2,6,6,14,14,28,6,8,8,
12,8,8,2,6,4,4,8,2,4,2,4,4,2,4,4,2,4,2,8,4,4,1,4,4,4,4,8,3,3,4,4,2,4,4,2,2,8,
2,4,4,2,2,4,6,4,12,2,3,6,3,12,4,4,4,4,12,4,4,2,4,2,4,8,3,3,12,12,2,2,8,6,6,4,
12,6,4,6,12,8,4,4,8,8,8,8,8,4,8,2,6,6,4,8,4,2,4,14,8,12,6,4,12,4,8,8,6,12,4,6,
4,2,4,2,2,2,4,2,2,1,2,2,4,2,2,4,4,2,4,1,4,3,3,2,2,1,2,3,2,2,2,1,2,2,4,4,1,2,4,
1,6,6,4,6,2,6,2,2,2,4,2,2,6,6,1,1,6,2,6,4,2,2,4,4,4,4,4,4,4,4,2,1,2,2,2,2,2,2,
2,2,2,4,1,3,1,1,3,1,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,6,16,1,14,5,29,4,4,
8,6,4,12,8,3,8,4,20,14,24,8,8,8,8,8,4,4,4,5,12,4,11,32,16,44,8,2,38,10,18,32,
8,2,8,4,8,8,4,4,8,1,8,4,8,4,4,8,4,2,4,6,12,3,4,4,10,4,6,10,4,8,4,8,12,3,8,4,4,
1,8,5,1,5,4,20,8,4,8,12,8,4,16,4,8,8,4,8,8,4,8,8,16,8,8,4,12,4,2,16,10,4,20,
10,6,4,6,2,4,4,20,16,16,32,4,4,8,8,20,12,14,14,16,12,4,8,2,2,4,4,8,2,4,2,4,4,
2,4,4,2,4,2,8,4,4,1,4,4,4,4,8,1,4,5,4,4,2,4,4,2,2,8,2,4,4,2,2,4,6,4,4,10,1,4,
2,2,1,2,4,8,4,4,4,4,4,4,8,4,2,4,2,4,8,1,4,1,4,4,4,4,4,2,2,8,2,4,2,8,12,4,8,6,
6,4,8,4,4,8,8,8,8,8,4,8,4,2,2,4,10,4,4,2,4,12,8,6,8,4,6,4,12,4,12,4,2,2,4,4,4,
4,4,4,2,4,2,2,2,4,2,2,1,2,2,4,2,2,4,4,2,4,1,4,1,2,2,1,2,2,2,1,2,1,2,2,2,2,2,1,
2,2,4,4,1,2,4,1,2,4,2,4,4,2,2,4,2,2,4,2,2,4,2,2,2,1,1,2,4,4,2,4,4,4,2,2,4,4,4,
4,4,4,8,2,1,2,2,2,4,2,2,2,2,2,2,1,1,2,1,1,1,1,2,2,2,4,2,2,2,2,2,2,1,1,1,1,1,1,
1,1],[1,14,15,18,3,45,2,2,30,54,7,30,54,9,45,81,9,1,45,7,9,54,16,4,4,8,6,24,6,
12,18,6,6,18,12,18,15,54,27,7,30,27,27,15,81,15,27,9,27,1,12,16,8,16,24,12,24,
2,12,12,2,12,12,24,6,36,2,24,8,2,18,6,18,6,18,36,18,2,18,6,6,2,9,15,27,27,27,
9,9,2,4,2,1,3,3,2,6,6,12,12,8,24,8,8,12,12,12,2,6,6,2,8,6,6,8,8,18,36,12,6,6,
18,12,6,6,6,6,6,6,6,9,4,1,4,2,2,2,2,2,4,4,6,1,6,3,3,1,3,2,1,6,1,1,6,6,6,6,8,
12,12,12,6,6,6,6,6,2,2,4,1,2,1,1,2,1,2,2,2,2,2,2,2,3,6,2,1,1,3,1,1,1,2,6,2,1,
2,1,1,1,1,2,2,1,1,1],[1,14,15,30,1,15,6,6,2,2,30,54,7,30,54,12,12,9,9,18,15,
27,9,9,18,9,15,18,36,36,6,18,16,4,4,8,2,8,6,12,6,12,6,4,2,6,12,6,2,6,2,18,18,
15,54,18,18,18,27,18,18,18,18,6,36,9,18,9,9,9,9,9,18,9,9,9,18,1,12,16,8,16,24,
12,24,2,12,12,12,12,4,4,2,12,12,8,6,12,6,6,6,12,6,12,12,12,6,6,6,2,12,12,6,6,
2,6,6,9,18,18,9,18,9,18,9,9,9,9,2,4,2,1,4,1,1,2,2,2,2,6,12,12,8,24,12,6,6,2,
12,12,12,12,6,6,6,6,6,6,9,4,1,4,2,2,4,4,2,2,2,4,4,2,1,2,1,2,1,1,1,2,1,1,2,2,4,
4,1,2,2,6,6,2,2,4,1,2,2,2,2,2,2,4,2,1,2,2,2,2,1,1,2,1,1,1,1,2,1,1,1,2,1,2,2,1,
1,2,2,1,1,1,1,1],[1,14,15,18,1,15,12,2,2,30,54,7,30,54,9,15,27,18,18,9,6,6,18,
18,16,4,4,8,2,8,6,12,6,6,2,6,12,12,4,18,15,54,27,6,36,9,18,9,9,9,9,18,18,1,12,
16,8,16,24,12,24,2,12,12,2,12,12,8,6,12,6,6,6,6,12,6,2,6,6,2,12,9,9,9,9,9,9,9,
2,4,2,1,1,1,2,2,4,6,12,12,8,24,12,6,6,2,6,6,6,6,6,6,9,4,1,4,2,2,2,2,2,4,4,2,1,
2,1,2,1,2,2,1,2,2,2,6,6,2,2,4,1,2,2,1,2,4,1,2,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,
2,9,30,3,27,6,18,2,2,18,1,18,12,12,18,27,9,27,15,18,36,36,1,27,1,15,18,18,54,
54,4,4,6,6,18,12,12,6,4,6,18,12,6,2,18,6,9,18,18,1,9,6,6,36,9,9,9,9,27,27,15,
9,18,18,36,6,6,54,6,18,1,2,12,12,2,12,12,12,12,4,4,18,2,18,2,6,6,12,6,12,12,
12,18,6,18,2,12,12,2,18,6,2,6,18,6,6,18,6,2,18,18,36,9,9,9,6,18,9,9,9,9,18,18,
2,1,4,3,3,2,2,6,2,6,6,2,6,6,6,6,2,2,12,12,12,12,6,6,6,6,6,6,6,6,6,6,6,6,18,6,
18,2,6,6,6,2,6,6,2,6,18,18,6,6,6,6,6,2,9,1,2,2,4,4,2,3,1,3,2,2,4,4,1,3,2,1,6,
1,6,1,6,6,6,6,6,2,6,6,6,6,6,6,6,6,6,6,6,6,1,1,1,2,2,2,2,4,1,1,1,3,1,3,2,2,2,2,
2,1,2,1,6,2,2,2,6,1,2,1,1,2,1,1,1,1,2,2,1],[1,2,9,18,3,27,2,2,18,1,18,9,27,27,
18,9,1,27,1,9,18,4,4,6,6,18,12,6,6,18,12,9,18,18,1,9,27,9,27,9,9,9,9,9,1,2,12,
12,2,12,12,18,2,18,2,6,6,18,2,18,6,6,2,9,9,9,9,9,9,9,2,1,3,3,2,2,6,6,2,6,6,6,
6,6,6,6,6,6,6,9,1,2,2,1,3,3,2,1,3,1,1,1,2,6,6,1,1,1,2,2,3,1,3,1,1,1,1,1,1,1,1,
1,1,1,1,1],[1,2,9,30,1,21,6,6,2,2,18,1,18,12,12,18,9,18,18,9,9,15,18,36,36,6,
6,6,18,18,18,4,4,6,2,10,12,12,12,6,4,2,6,12,6,2,6,2,9,18,18,6,6,36,9,9,9,9,9,
9,18,18,18,18,36,1,2,12,12,2,12,12,12,12,4,4,6,12,2,6,2,6,6,12,12,6,12,12,12,
6,6,6,2,12,12,6,6,2,6,6,9,9,9,9,9,9,9,2,1,4,1,1,2,2,4,2,2,6,6,6,6,2,12,12,12,
12,6,6,6,6,6,6,6,6,9,1,2,2,4,4,2,1,2,1,2,1,2,2,4,4,2,1,2,2,2,2,2,6,6,2,1,2,2,
2,4,1,1,1,1,1,1,2,2,2,4,2,1,1,1,1,1,1,1,1],[1,2,9,18,1,21,12,2,2,18,1,18,9,9,
18,9,18,18,9,6,6,6,6,18,18,4,4,6,2,10,12,12,6,2,6,12,12,4,9,18,18,6,6,9,18,9,
9,9,9,9,18,18,18,1,2,12,12,2,12,12,6,12,2,6,2,6,6,12,6,12,6,2,6,6,2,12,9,9,9,
9,9,9,9,2,1,1,1,2,4,4,2,6,6,6,6,2,6,6,6,6,6,6,6,6,9,1,2,2,1,1,1,2,2,2,2,2,1,2,
2,2,2,6,6,2,1,2,2,2,1,2,1,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,12,9,12,3,27,2,2,
18,6,18,9,18,27,27,6,18,1,27,6,6,12,4,6,6,18,12,6,4,6,18,18,9,18,6,18,27,9,9,
9,27,9,6,18,1,12,6,12,2,18,2,18,6,2,12,6,12,18,2,2,18,6,2,9,9,9,9,9,9,9,4,1,4,
3,3,6,6,6,2,6,6,6,6,6,6,6,6,2,6,9,2,2,2,1,2,3,3,2,2,1,3,2,2,6,6,2,1,2,2,2,3,1,
1,1,1,3,2,2,1,1,1,1,1,1,1,1],[1,12,9,12,1,21,12,2,2,18,6,18,9,18,9,18,9,18,6,
18,6,1,9,6,18,18,18,12,4,6,2,10,12,12,6,4,2,6,12,4,18,9,18,6,18,36,9,18,9,9,9,
9,9,18,18,6,36,1,12,6,12,2,6,12,2,2,6,6,12,12,6,12,6,12,2,6,6,2,2,12,9,9,9,9,
9,9,9,4,1,4,1,1,4,4,6,6,6,2,6,6,6,6,6,6,6,6,6,2,9,2,2,2,1,2,1,1,2,2,2,2,2,1,2,
1,2,2,2,6,6,2,1,2,2,2,4,1,2,1,1,1,1,1,2,2,2,4,1,1,1,1,1,1,1,1],[1,12,9,3,27,6,
18,2,2,18,6,18,27,9,18,27,1,27,6,18,18,54,54,18,12,4,6,6,18,6,6,18,6,2,18,6,9,
18,18,6,18,36,9,9,27,9,27,9,6,54,1,12,6,12,2,18,2,18,6,2,18,6,18,2,18,18,6,18,
6,18,18,36,9,9,9,9,9,9,9,4,1,3,3,2,6,6,6,6,2,6,6,6,6,18,18,6,2,18,18,9,2,2,2,
3,1,2,3,1,3,2,6,6,6,6,2,6,6,1,2,2,2,2,4,1,1,3,1,3,1,2,6,1,1,1,1,1,1,1,1],[1,
12,9,1,21,6,6,2,2,18,6,18,9,18,18,9,18,9,6,1,15,6,18,18,12,4,6,2,10,12,6,2,6,
6,2,6,2,9,18,18,6,18,9,9,9,9,9,9,18,18,6,18,1,12,6,12,2,6,12,2,2,6,6,12,6,6,6,
6,2,6,2,6,2,6,6,9,9,9,9,9,9,9,4,1,1,1,2,4,2,6,6,6,2,6,6,6,6,6,6,6,6,6,2,9,2,2,
2,1,2,1,2,2,1,2,2,2,1,1,2,2,6,6,1,2,2,2,2,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,
1],[1,6,3,18,3,9,5,8,18,3,18,1,18,9,9,9,18,1,9,3,9,6,24,2,15,3,6,9,24,6,9,18,
3,9,3,9,3,9,9,9,9,9,18,4,12,1,6,6,5,12,1,9,3,9,3,1,6,9,6,6,1,2,8,3,9,9,1,3,9,
9,8,12,12,6,1,3,3,2,6,3,3,3,3,3,3,9,3,6,3,6,3,4,4,4,1,3,3,1,3,1,3,1,3,1,3,2,4,
2,3,3,1,1,1,1,1],[1,18,21,18,1,21,5,8,42,54,9,42,54,1,6,9,9,18,21,3,27,9,9,18,
36,10,18,5,18,3,6,3,24,8,24,6,18,18,21,6,54,18,6,18,27,18,18,9,1,9,18,3,18,9,
9,9,9,9,4,6,36,18,36,12,6,12,5,6,6,18,3,6,3,3,3,1,6,3,3,3,6,6,1,2,24,18,3,18,
9,18,9,18,3,9,9,9,16,4,4,4,6,3,6,6,6,6,6,18,12,6,6,3,2,6,6,6,3,3,6,3,1,3,3,3,
3,6,3,2,3,1,3,2,6,6,9,8,8,8,4,1,3,6,6,3,3,6,6,6,3,6,1,3,3,3,1,3,6,4,2,1,1,2,1,
3,3,1,2,2,1,1,1],[1,6,3,18,1,39,5,8,18,3,18,1,18,3,3,18,18,9,18,18,6,6,18,24,
2,5,36,3,6,3,8,48,6,9,18,18,1,18,9,3,9,9,3,18,18,36,4,12,1,6,6,18,6,4,3,3,6,6,
1,6,3,6,6,6,1,2,24,3,9,9,3,9,9,9,8,4,8,12,6,6,3,2,6,3,6,3,1,3,3,3,6,6,12,1,6,
2,12,9,4,4,4,1,3,3,1,3,3,3,3,3,1,3,6,4,2,1,2,3,3,1,1,1,1],[1,30,7,18,3,21,1,4,
8,42,54,15,42,54,3,21,27,9,1,21,15,9,18,12,6,2,3,6,1,6,3,28,8,20,12,24,24,18,
21,54,27,15,42,27,9,7,27,21,27,9,27,4,6,12,6,12,12,6,12,3,6,6,6,1,6,1,6,6,3,3,
3,3,3,3,6,28,12,36,24,1,2,9,21,27,27,27,3,9,4,8,8,4,4,3,6,6,6,12,6,6,6,6,6,3,
6,3,3,2,6,3,6,6,1,3,3,6,3,3,3,12,7,2,5,3,6,6,9,8,4,4,8,4,1,3,3,3,6,6,6,6,3,3,
1,3,3,7,9,6,4,2,1,2,1,1,3,3,2,1,2,1,1,1],[1,9,3,27,1,4,8,1,3,3,27,9,27,9,1,27,
6,18,2,3,6,3,9,36,24,3,3,9,9,9,9,9,9,9,27,9,18,4,6,1,6,1,6,9,9,3,6,1,9,3,1,6,
4,8,12,12,1,2,9,1,9,3,9,3,9,8,12,2,3,6,1,3,3,3,3,3,9,3,3,3,6,12,9,6,3,4,4,4,1,
1,3,3,1,1,3,3,1,2,3,3,4,2,3,1,3,1,1,1,1],[1,7,36,3,21,1,4,8,6,3,18,21,27,18,
18,1,21,18,6,18,2,3,6,1,12,3,28,8,24,48,18,3,18,9,9,7,3,27,9,18,18,36,4,6,1,6,
1,6,3,6,3,6,3,6,6,6,6,6,4,12,12,24,1,2,9,3,9,3,9,9,9,8,4,8,2,3,6,6,1,6,3,3,3,
3,3,6,6,12,12,7,2,6,12,9,4,4,4,1,1,3,3,3,3,3,3,3,1,3,6,4,2,1,2,3,3,1,1,1,1],[
1,15,3,45,6,18,2,2,9,9,45,81,27,9,27,1,45,18,18,54,54,54,8,6,24,6,18,6,6,18,6,
2,18,6,27,9,27,27,27,15,81,27,27,27,27,54,6,54,1,24,6,36,2,24,18,18,18,36,18,
6,18,2,18,18,6,18,6,18,18,36,9,27,27,9,27,9,27,2,1,3,3,2,6,6,8,18,36,6,18,6,
18,18,6,2,18,18,9,6,1,6,1,3,3,1,3,3,1,3,6,6,6,6,6,6,6,6,2,3,6,1,3,3,3,1,3,3,3,
3,3,6,2,6,1,3,3,1,3,1,3,1],[1,15,12,3,45,2,2,9,18,45,81,18,6,18,1,45,6,54,18,
8,6,24,6,18,12,6,4,6,18,27,18,9,18,15,81,9,9,9,6,18,36,1,24,6,36,2,24,18,18,
18,36,12,6,12,18,2,2,18,6,2,9,9,9,9,9,9,9,2,1,4,3,3,6,8,18,36,6,18,6,6,6,6,6,
2,6,9,6,1,6,2,3,2,3,2,2,1,3,2,6,6,2,6,6,2,3,6,2,1,2,1,1,1,3,1,2,2,4,1,1,1,1,1,
1,1,1],[1,15,1,15,6,6,2,2,9,9,15,27,9,9,9,7,15,6,18,18,8,2,8,6,6,6,2,6,6,2,6,
2,9,9,9,9,9,9,15,27,9,9,9,6,18,1,8,6,12,8,2,6,6,6,6,6,6,6,2,6,2,6,2,6,6,9,9,9,
9,9,9,9,2,1,1,1,2,2,2,8,6,12,6,6,6,6,6,6,6,6,2,9,2,1,2,1,1,1,1,1,1,2,2,2,1,1,
2,2,6,6,2,1,2,1,1,1,1,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,15,12,1,15,12,2,2,9,
18,15,27,18,18,18,6,18,7,9,6,18,8,2,8,6,6,12,6,4,2,6,12,4,9,18,18,9,18,9,15,
27,9,9,18,18,6,1,8,6,12,8,2,6,6,6,12,6,12,6,12,2,6,6,2,2,12,9,9,9,9,9,9,9,2,1,
4,1,1,2,4,8,6,12,6,6,6,6,6,6,6,6,2,9,2,1,2,2,1,2,2,1,2,2,2,2,1,2,1,2,6,6,2,1,
2,2,2,1,2,1,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,18,3,54,3,9,1,4,8,54,9,54,1,54,
9,9,27,54,1,9,9,27,6,6,3,3,18,9,12,24,12,36,24,72,18,27,54,9,27,3,27,3,9,27,
27,27,27,54,4,3,18,18,1,3,9,9,9,9,1,18,9,18,6,4,8,36,36,72,72,1,2,9,27,27,1,9,
27,27,4,12,12,3,9,9,6,18,3,9,9,9,3,9,9,9,18,12,24,3,6,3,9,6,18,9,12,4,12,1,9,
3,9,1,9,3,9,1,2,9,9,18,18,4,1,3,3,3,3,6,3,1,3,1],[1,18,1,18,3,3,1,4,8,18,9,18,
6,3,3,9,9,1,3,9,9,6,6,3,1,6,3,4,8,12,12,24,24,18,9,18,9,9,3,9,1,3,9,9,9,9,4,3,
6,6,1,3,3,3,3,3,3,1,6,6,4,12,12,24,1,2,9,9,9,3,9,3,9,4,4,4,3,3,3,6,6,1,3,3,3,
3,3,3,3,12,1,2,3,3,6,6,9,4,4,4,1,3,3,3,1,3,3,3,3,1,3,6,4,1,1,1,3,3,1,1,1,1],[
1,12,3,3,9,1,4,8,6,6,6,1,6,9,9,1,9,6,6,6,12,3,3,9,12,24,8,6,3,6,6,6,12,3,3,3,
9,3,3,4,6,6,6,1,6,9,9,1,9,6,6,6,4,8,4,4,1,2,3,3,3,1,3,3,3,8,12,6,3,6,6,6,12,3,
3,3,9,3,3,4,3,6,2,3,4,4,4,1,3,3,3,1,3,3,3,1,2,1,1,4,2,3,3,1,1,1,1,1],[1,12,1,
36,3,3,1,4,8,6,6,6,3,18,3,9,18,18,1,3,6,18,12,3,1,12,3,4,8,8,24,48,18,3,18,6,
6,9,9,1,9,9,3,18,18,4,6,6,6,1,6,3,6,3,6,6,3,1,6,4,12,12,24,1,2,9,3,9,3,9,9,9,
8,4,8,3,6,6,6,6,1,6,3,3,3,3,3,6,12,1,2,2,6,12,9,4,4,4,1,3,3,3,3,1,3,3,3,1,3,6,
4,2,1,2,3,3,1,1,1,1],[1,21,3,63,5,8,1,9,9,63,9,81,27,1,63,6,54,18,15,54,3,9,
24,24,72,9,3,27,27,27,27,27,21,9,81,27,54,4,54,3,18,5,54,9,9,9,18,1,9,9,3,6,1,
2,72,8,72,27,1,27,9,27,9,27,4,12,12,18,9,18,3,9,3,9,3,9,9,9,9,9,18,3,3,9,6,6,
18,24,9,12,4,12,1,3,9,9,1,3,9,9,9,1,9,2,18,18,4,3,1,3,3,3,6,1,3,3,1],[1,12,3,
3,9,5,8,6,6,6,1,6,9,9,1,9,6,6,6,12,8,15,3,9,24,6,3,6,6,6,12,3,3,3,9,3,3,4,6,6,
6,4,5,6,4,9,9,1,9,6,6,6,1,2,8,3,3,3,1,3,3,3,8,12,6,3,6,6,6,12,4,3,3,3,9,3,3,2,
3,6,3,4,4,4,1,3,3,3,1,3,3,3,1,1,1,2,4,3,2,3,1,1,1,1,1],[1,12,3,3,9,1,16,32,6,
6,6,1,6,9,9,1,9,6,6,6,12,3,3,9,16,6,3,6,6,6,12,3,3,3,9,3,3,16,6,6,6,1,6,9,9,1,
9,6,6,6,4,8,4,8,12,24,3,3,3,1,3,3,3,16,6,3,6,6,6,12,3,3,3,9,3,3,4,4,4,3,4,4,
12,3,3,3,1,3,3,3,1,2,4,4,4,3,1,1,1],[1,21,1,21,5,8,1,9,9,21,3,27,9,9,9,6,18,5,
18,3,3,24,8,24,9,1,9,9,9,9,9,3,9,21,27,4,18,3,6,18,5,3,3,3,1,3,3,3,6,1,2,24,9,
3,3,9,9,9,9,4,4,4,18,3,6,3,3,3,3,1,3,3,3,3,3,3,1,3,2,6,6,9,4,8,1,3,3,3,3,3,1,
3,3,1,3,6,4,1,1,1,3,3,1,1,1,1],[1,12,3,1,39,5,8,6,6,6,1,6,3,3,18,18,18,3,9,18,
12,8,5,36,3,3,8,48,6,3,6,18,18,1,18,3,9,9,9,9,18,4,6,6,6,4,18,12,1,3,3,6,6,1,
3,6,6,1,2,24,3,9,9,9,3,9,9,8,4,8,6,3,6,6,6,12,3,3,1,3,3,3,6,6,2,1,6,2,12,9,4,
4,4,1,3,3,3,3,3,1,3,1,3,3,6,4,1,2,2,3,3,1,1,1,1],[1,6,6,18,9,8,32,3,18,18,2,3,
18,9,9,18,9,18,6,24,4,24,12,3,9,9,6,18,6,9,9,9,9,9,9,18,16,12,12,8,12,12,2,16,
24,9,3,9,1,9,3,9,16,12,6,4,1,6,3,3,8,3,3,2,3,3,2,4,4,3,1,1,1],[1,24,16,36,3,4,
1,8,48,108,36,1,9,12,6,18,9,54,3,9,18,24,12,8,4,12,16,8,8,12,3,24,24,9,36,18,
54,9,6,18,36,18,18,6,1,9,18,9,9,3,18,6,18,3,9,4,12,24,24,12,4,1,1,2,16,3,12,
36,6,6,9,18,3,3,24,12,6,18,9,9,18,9,3,9,18,18,3,9,4,8,8,4,4,12,6,3,2,1,3,3,6,
2,1,3,6,2,6,12,6,18,3,6,6,3,3,3,12,6,6,6,6,6,3,3,9,8,4,4,8,4,1,3,6,6,3,1,6,3,
3,6,1,6,3,6,3,3,3,6,4,1,2,2,1,1,3,3,2,1,1,2,1,1],[1,18,6,54,9,4,1,8,9,54,54,2,
9,54,9,27,18,27,54,6,12,12,36,6,24,6,18,9,24,72,9,27,27,18,54,6,27,27,27,27,9,
27,54,4,36,4,36,1,2,2,8,3,3,18,18,9,9,18,9,72,72,18,18,6,27,9,27,1,27,9,27,4,
12,12,12,3,3,9,3,6,6,9,6,6,18,24,9,9,9,9,18,9,9,9,18,9,12,4,12,1,9,1,9,9,3,1,
9,3,18,2,18,9,9,4,1,3,3,3,3,6,3,1,3,1],[1,18,4,18,3,4,1,8,9,18,18,1,12,6,3,9,
3,18,6,12,4,12,4,8,6,6,3,24,24,9,9,9,18,18,1,9,18,9,3,9,3,4,12,4,12,1,1,2,3,4,
6,6,3,3,3,6,24,6,6,9,9,9,3,3,9,9,4,4,4,12,3,1,3,3,1,3,6,2,6,3,3,6,6,3,6,3,3,3,
9,4,4,4,1,3,1,3,3,3,1,6,3,3,3,3,4,1,1,1,3,3,1,1,1,1],[1,18,9,4,1,8,2,12,12,15,
18,6,6,8,12,18,24,9,12,6,3,12,6,9,3,12,4,4,4,4,1,2,2,8,12,12,15,18,6,6,6,1,6,
3,3,8,12,4,2,3,12,6,6,3,12,6,9,3,12,3,4,4,4,1,1,1,1,6,1,6,2,3,3,4,2,3,1,3,1,1,
1,1],[1,16,36,3,4,1,8,1,3,12,6,18,9,18,3,27,18,8,4,24,16,8,12,3,48,6,1,18,18,
9,3,18,6,3,9,18,18,4,4,12,12,1,1,2,1,12,6,6,9,6,3,9,24,6,3,9,3,9,9,9,9,8,4,8,
12,2,1,6,6,1,6,2,12,6,3,3,6,6,3,3,6,6,9,4,4,4,1,1,3,3,3,3,1,6,3,3,3,3,4,2,1,2,
3,3,1,1,1,1],[1,6,6,18,9,4,1,8,3,18,18,2,3,18,9,9,18,9,18,6,24,12,6,24,2,6,9,
3,9,9,6,18,6,9,9,9,9,9,9,18,4,12,4,12,1,2,2,8,1,1,6,6,9,3,18,3,6,6,6,9,3,9,1,
9,3,9,8,12,12,6,3,1,2,6,3,6,3,3,3,3,6,3,9,3,6,3,4,4,4,1,3,1,3,3,1,1,3,1,2,3,3,
4,2,3,3,1,1,1,1,1],[1,6,4,54,3,4,1,8,3,18,18,1,6,36,3,27,3,18,36,6,24,4,24,4,
8,2,18,3,48,18,9,6,18,1,18,18,3,18,9,3,18,36,4,12,12,4,1,1,2,1,6,6,12,3,9,3,6,
24,6,12,6,9,3,9,9,3,9,9,8,4,8,12,6,1,6,2,1,6,2,12,6,3,6,6,3,6,3,3,6,12,9,4,4,
4,1,3,3,1,1,3,3,6,3,3,3,3,4,2,1,2,3,3,1,1,1,1],[1,9,3,27,4,4,32,1,3,3,27,9,27,
9,1,27,6,18,4,12,12,36,3,3,9,9,9,9,9,9,9,27,9,18,16,12,4,12,1,4,8,12,12,1,8,
24,9,1,9,3,9,3,9,16,4,1,3,3,12,9,3,4,4,3,1,3,1,2,3,3,4,4,1,3,1,1],[1,36,3,3,9,
4,4,32,18,18,18,1,18,9,9,1,9,18,6,18,24,12,12,24,96,18,9,18,18,18,36,3,9,3,9,
9,9,16,12,4,12,1,4,8,12,12,1,8,24,9,9,9,1,9,9,9,16,12,6,3,12,24,3,6,24,24,9,4,
4,3,1,3,1,2,3,3,4,4,3,3,6,1,1],[1,6,3,18,3,9,4,4,32,18,3,18,1,18,9,9,9,18,1,9,
3,9,6,24,12,12,4,12,6,9,18,3,9,3,9,3,9,9,9,9,9,18,16,12,4,12,1,4,8,12,12,1,8,
24,3,9,9,1,3,9,9,16,12,6,3,4,3,1,3,3,4,4,3,1,3,1,2,3,3,4,4,3,1,1,1],[1,4,3,12,
3,9,4,4,32,1,12,9,3,3,18,9,1,12,9,9,6,9,18,18,18,12,4,12,16,32,12,3,1,3,4,9,9,
9,18,9,9,9,18,6,3,9,18,18,16,4,12,12,1,4,8,12,12,1,8,24,1,3,3,3,3,9,9,16,4,3,
1,3,4,8,4,8,24,3,1,4,4,1,3,3,1,2,3,3,4,4,1,1,2,1,1],[1,3,36,3,9,4,4,32,1,9,9,
18,18,18,18,1,9,18,6,18,12,24,12,24,96,3,18,3,9,9,9,9,9,18,18,18,36,16,4,12,
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],[1,6,3,18,3,9,4,4,32,18,3,18,1,18,9,9,9,18,1,9,3,9,6,24,12,
12,4,12,6,9,18,3,9,3,9,3,9,9,9,9,9,18,16,12,4,12,1,4,8,12,12,1,8,24,3,9,9,1,3,
9,9,16,12,6,3,4,3,1,3,3,4,4,3,1,3,1,2,3,3,4,4,3,1,1,1],[1,6,1,6,9,9,8,32,2,6,
6,9,18,18,18,9,9,36,6,18,8,24,24,32,2,6,6,9,18,18,18,9,9,36,6,18,16,24,8,24,2,
16,24,6,1,6,9,9,16,8,2,6,6,16,24,1,8,6,2,6,2,8,2,2,1,1],[1,42,9,8,32,2,36,36,
27,18,6,18,48,24,96,36,6,9,36,18,9,9,36,16,24,8,24,2,16,24,18,1,18,9,9,16,24,
12,6,48,24,9,8,6,2,6,2,8,6,6,1,1],[1,6,36,9,8,32,2,36,36,9,18,18,6,18,48,24,
96,36,6,9,36,18,9,9,36,16,24,8,24,2,16,24,18,1,18,9,9,16,24,12,6,48,24,9,8,6,
2,6,2,8,6,6,1,1],[1,6,21,8,32,2,9,18,24,18,24,48,16,6,9,18,3,9,18,16,8,2,16,
24,1,9,9,16,6,12,12,3,8,2,2,3,1,1,1],[1,6,9,12,8,32,2,9,18,6,18,18,24,48,16,6,
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],[1,6,6,18,9,4,4,32,
3,18,18,2,3,18,9,9,18,9,18,6,24,12,12,4,12,3,9,9,6,18,6,9,9,9,9,9,9,18,16,12,
4,12,1,1,4,16,12,12,24,9,3,9,1,9,3,9,16,12,6,3,1,3,3,4,3,4,4,3,1,3,3,1,3,2,4,
4,3,1,1,1],[1,6,3,18,3,9,4,4,32,18,3,18,1,18,9,9,9,18,1,3,9,9,6,24,12,12,4,12,
6,9,18,3,9,3,9,3,9,9,9,9,9,9,9,16,12,4,12,1,4,8,12,12,1,8,24,3,9,9,1,3,9,9,16,
12,6,3,4,3,1,3,3,4,4,3,1,3,1,2,3,3,4,4,3,1,1,1],[1,18,9,1,32,16,2,12,12,15,18,
6,6,18,9,16,12,6,3,12,6,9,3,12,16,2,8,16,12,12,15,18,6,6,12,24,6,1,6,3,3,16,
12,6,8,3,12,6,9,3,12,4,3,8,12,6,1,6,1,2,3,3,8,4,3,1,1,1],[1,6,13,1,32,16,2,9,
18,12,6,6,13,32,16,6,9,6,1,3,6,16,2,8,16,9,18,12,6,12,24,1,3,3,16,6,9,6,1,3,6,
4,8,1,8,12,1,1,2,3,3,4,1,1,2,1,1],[1,6,21,1,32,16,2,9,18,24,18,6,21,16,6,9,18,
3,9,18,16,2,8,16,9,18,24,18,12,24,1,9,9,16,6,9,18,3,9,18,12,3,8,12,1,1,2,9,9,
12,3,1,1,1],[1,6,21,8,16,16,2,9,18,24,18,24,48,16,6,9,18,3,9,18,16,2,8,8,8,12,
12,1,9,9,16,6,12,12,3,8,2,1,1,1,3,1,1],[1,9,3,27,4,32,4,1,3,3,27,9,27,9,1,27,
6,18,36,4,12,12,3,3,9,9,9,9,9,9,9,27,9,18,16,4,1,8,12,12,12,4,12,1,8,24,9,1,9,
3,9,3,9,16,12,3,1,3,9,4,3,4,4,1,1,2,3,3,3,3,4,4,3,1,1,1],[1,12,12,48,7,1,8,4,
18,72,48,3,9,4,6,54,9,36,9,9,54,12,12,4,16,7,12,24,24,8,4,12,12,4,4,9,12,18,
36,9,18,18,12,54,18,6,3,9,18,9,9,1,18,6,18,3,27,4,12,12,12,3,6,3,4,24,6,18,9,
12,9,3,2,1,16,18,12,12,24,4,12,18,9,3,18,9,9,9,18,18,3,9,4,4,4,4,4,4,4,3,3,12,
3,6,6,3,3,4,6,12,3,6,6,3,3,1,4,6,6,18,6,6,3,9,6,2,6,1,3,1,3,1,9,1,4,4,4,4,4,4,
4,3,3,3,3,3,6,3,3,6,3,1,6,3,3,3,6,6,1,3,1,1,1,1,1,1,1,4,3,3,1,1,1,1,1,1,1,1],[
1,6,13,1,32,16,4,3,12,14,6,6,13,32,16,1,3,3,12,2,6,6,2,16,4,3,12,8,4,14,6,8,
16,3,6,6,16,1,3,3,12,8,4,2,6,6,2,8,16,8,8,8,1,4,8,3,6,6,4,8,8,1,2,1,1],[1,9,3,
27,4,32,4,3,1,3,27,27,9,9,1,27,18,6,36,4,12,12,3,9,9,3,9,9,9,9,27,9,9,18,16,
12,4,12,8,1,12,4,12,1,8,24,9,3,9,1,9,3,9,16,12,1,3,3,9,4,3,4,4,3,3,1,3,1,2,3,
4,4,3,1,1,1],[1,18,3,6,3,9,4,32,4,18,18,9,18,18,1,9,9,3,1,9,9,3,6,12,12,4,24,
12,6,9,18,9,9,18,9,3,3,9,9,9,3,9,16,12,4,12,8,1,12,4,12,1,8,24,3,9,9,9,9,1,3,
16,6,4,3,3,12,3,1,3,4,4,3,1,3,1,2,3,3,4,4,3,1,1,1],[1,3,36,3,9,4,32,4,18,1,18,
9,9,18,18,1,9,18,18,6,12,24,96,24,12,18,9,18,3,9,3,9,9,9,18,18,36,16,12,4,12,
8,1,12,4,12,1,8,24,9,9,9,1,9,9,9,16,12,24,6,3,3,12,6,24,24,9,4,4,3,1,3,1,2,3,
3,4,4,3,3,6,1,1],[1,6,3,18,1,3,4,32,4,4,18,36,3,18,1,18,3,3,24,9,18,24,4,32,
12,4,12,12,1,12,6,36,9,18,9,36,1,9,6,16,16,12,8,1,4,12,12,1,8,24,4,3,12,3,9,
16,4,8,3,1,3,6,4,1,8,24,1,4,4,1,3,3,4,2,3,4,4,1,1,2,1,1],[1,6,3,18,3,9,4,32,4,
18,3,18,1,9,9,18,9,18,1,9,3,9,6,24,12,4,12,12,9,6,18,3,9,3,3,9,9,9,9,9,9,18,
16,12,4,12,12,8,1,4,12,1,8,24,9,3,9,1,3,9,9,16,6,12,4,3,3,1,3,3,4,4,3,1,3,1,2,
3,3,4,4,3,1,1,1],[1,3,36,3,9,4,32,4,1,18,9,9,18,18,18,1,9,18,6,18,12,24,96,12,
24,3,18,9,18,3,9,9,9,9,18,18,36,16,4,12,12,8,1,4,12,12,1,8,24,1,9,9,9,9,9,9,
16,12,24,3,6,3,12,6,24,24,9,4,4,1,3,3,1,2,3,3,4,4,3,3,6,1,1],[1,3,3,9,6,18,4,
32,4,1,3,9,9,9,3,9,1,9,18,18,6,18,18,12,24,12,4,12,3,3,9,9,9,3,9,9,9,9,9,18,6,
18,16,4,12,12,8,1,4,12,12,1,8,24,1,9,9,3,9,3,9,16,12,3,1,3,3,4,6,3,4,4,1,3,3,
1,2,3,3,4,4,1,3,1,1],[1,6,3,42,3,9,4,12,4,8,1,18,3,18,24,24,18,9,3,9,21,18,36,
36,1,9,3,21,12,12,18,18,6,12,4,28,16,6,24,24,8,1,6,3,3,6,1,1,3,3,9,18,18,3,9,
12,12,36,9,3,9,9,9,9,21,9,18,18,36,12,4,18,12,18,4,3,6,6,6,6,6,6,12,12,12,16,
24,6,3,6,6,6,24,3,1,3,3,6,6,1,3,3,3,3,3,3,3,3,3,3,3,3,6,1,2,9,9,9,12,18,9,9,3,
9,18,18,4,4,4,4,4,4,4,3,3,3,3,3,3,3,6,6,6,6,12,3,3,3,3,3,3,3,1,3,3,3,3,3,3,3,
3,3,3,1,1,3,3,3,3,3,3,3,3,3,1,7,4,6,6,2,9,4,4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,1,3,3,3,4,6,6,4,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,6,3,18,3,9,4,32,
4,18,3,18,1,18,9,9,9,18,1,9,3,9,6,24,12,4,12,12,6,9,18,3,9,3,9,3,9,9,9,9,9,9,
9,16,12,4,12,12,4,12,1,8,1,8,24,3,9,9,1,3,9,9,16,12,6,4,3,3,1,3,3,4,4,3,1,3,1,
2,3,3,4,4,3,1,1,1],[1,3,7,21,4,32,4,1,21,21,7,63,42,28,32,12,4,12,7,21,63,1,
21,42,16,28,4,12,12,1,8,1,8,24,7,3,21,16,4,4,7,8,3,1,3,8,24,1,4,4,7,1,2,3,3,4,
4,1,1,2,1,1],[1,3,9,27,4,32,4,1,27,27,4,36,3,9,24,36,12,4,12,9,12,36,9,9,3,18,
9,9,9,16,16,12,4,12,12,1,8,1,8,24,4,3,9,18,9,16,12,4,9,3,1,3,3,4,4,4,3,1,2,3,
3,4,4,3,1,1,1],[1,3,1,3,4,32,4,1,3,3,3,9,4,32,12,4,12,1,9,9,1,9,3,3,16,12,4,
12,12,1,8,3,3,9,16,4,4,1,8,4,4,1,12,12,1,4,3,3,4,4,1,1,1,1,1],[1,1,7,7,28,7,7,
21,28,28,28,8,7,1,7,28,7,8,1,8,7,7,7,8,7,1,1,1,1],[1,28,21,28,42,14,21,28,28,
28,8,21,21,21,28,14,8,21,8,14,8,1,1],[1,1,21,21,28,21,14,42,21,21,28,28,28,8,
14,21,21,42,21,28,14,8,21,8,14,14,14,8,14,1,1],[1,21,1,21,28,7,7,21,21,21,21,
21,28,28,28,8,21,7,21,7,21,21,21,7,7,28,8,21,8,7,7,7,7,7,7,8,7,7,1,1],[1,9,5,
45,1,1,2,45,15,15,1,3,5,15,5,10,3,15,6,30,45,1,9,1,9,15,5,15,5,15,15,30,1,1,2,
1,5,5,9,3,3,15,15,3,1,3,3,1,3,6,2,6,5,5,5,9,1,3,1,3,3,1,3,6,5,1,1,1,3,3,1,1,1,
1],[1,18,3,1,4,8,9,1,9,1,6,3,12,24,9,4,18,3,3,1,3,1,2,1,4,8,4,9,1,9,3,3,6,6,3,
12,24,1,9,4,3,1,3,1,2,1,4,3,3,6,1,1],[1,5,3,15,1,4,8,15,1,15,1,3,5,15,20,40,5,
4,1,3,3,1,15,15,1,2,1,4,8,20,3,1,3,5,5,10,3,1,3,4,8,1,1,4,1,3,3,1,2,5,4,1,1,2,
1,1],[1,90,3,1,4,8,45,1,45,1,3,30,60,120,45,4,3,18,1,15,15,1,2,1,4,8,20,1,9,9,
15,15,30,3,6,12,24,1,9,4,1,3,3,1,2,5,4,3,3,6,1,1],[1,3,15,45,11,20,45,5,45,6,
30,1,10,15,45,60,15,10,18,6,18,30,15,5,15,5,10,6,10,10,10,18,15,5,6,6,6,10,5,
6,1,5,3,1,1],[1,10,15,11,20,15,5,15,6,20,20,10,10,15,15,10,6,15,10,5,15,5,10,
6,10,10,10,6,15,5,6,10,5,6,1,5,1,1,1],[1,45,11,20,5,45,45,6,50,45,60,45,10,6,
45,5,15,5,10,6,20,10,18,15,15,30,6,10,5,6,1,5,3,1,1],[1,15,1,15,11,20,5,15,15,
6,10,11,10,15,15,20,5,10,6,6,6,10,15,5,15,5,10,6,10,10,10,6,5,5,10,6,6,6,10,5,
6,1,5,1,1,1],[1,15,30,11,20,5,45,45,6,10,40,15,30,60,45,10,6,30,15,5,15,5,10,
6,10,10,10,18,15,15,30,6,10,5,6,1,5,3,1,1],[1,3,15,45,10,1,20,45,5,45,6,30,10,
30,15,1,15,60,15,10,18,6,18,30,5,5,10,15,15,6,10,10,10,18,15,5,6,6,6,10,5,6,1,
5,3,1,1],[1,30,15,10,1,20,45,5,45,6,30,30,10,15,10,60,45,10,6,30,5,5,10,15,15,
6,10,10,10,18,15,15,30,6,10,5,6,1,5,3,1,1],[1,25,10,1,20,5,15,15,6,20,10,25,
20,15,10,6,10,5,5,10,15,15,6,20,10,6,5,15,6,10,5,6,1,5,1,1,1],[1,3,15,45,10,1,
20,45,5,45,6,30,10,30,15,1,15,60,15,10,18,6,18,30,5,5,10,15,15,6,10,10,10,18,
15,5,6,6,6,10,5,6,1,5,3,1,1],[1,15,30,1,20,10,45,5,45,6,15,10,30,60,10,30,45,
10,6,15,5,15,10,5,30,6,10,10,10,18,15,30,15,6,5,10,6,1,5,3,1,1],[1,3,15,45,1,
20,10,45,5,45,6,30,15,1,15,60,10,30,15,10,18,6,18,30,5,15,15,10,5,6,10,10,10,
18,15,5,6,6,6,5,10,6,1,5,3,1,1],[1,15,10,1,20,10,5,15,15,6,15,10,20,10,10,10,
15,10,6,5,15,15,10,5,10,6,10,10,10,6,15,5,6,5,10,6,1,5,1,1,1],[1,45,20,20,15,
15,45,36,60,60,45,10,36,15,15,10,15,15,10,6,6,1],[1,4,6,12,3,18,9,27,4,2,12,2,
2,12,12,12,2,2,12,18,18,9,6,18,6,54,54,6,12,12,6,12,1,18,2,6,27,27,12,2,27,
108,54,108,6,6,54,36,16,12,12,36,2,1,2,6,6,6,6,4,6,12,12,6,12,2,2,6,6,6,4,6,
12,24,6,6,6,18,1,6,6,6,6,6,6,6,6,18,1,6,1,6,27,3,54,3,54,3,54,3,54,6,54,108,9,
6,27,12,6,12,108,6,36,108,6,6,6,6,12,6,6,12,6,6,12,12,12,12,9,27,108,6,6,18,
54,108,6,54,27,6,27,216,8,8,8,4,8,36,36,4,36,8,24,8,1,1,6,6,1,1,3,3,3,3,6,6,2,
6,6,6,12,2,2,6,6,6,6,6,6,12,12,6,6,12,12,6,6,2,1,2,18,3,18,3,1,6,2,18,6,12,2,
1,1,3,3,3,3,6,6,6,12,6,6,3,6,6,6,12,12,9,3,18,3,54,3,54,3,3,3,3,3,3,6,3,3,3,3,
27,3,27,3,6,6,6,108,6,6,6,27,54,6,108,6,6,12,6,12,6,6,6,54,36,8,4,8,8,8,16,4,
12,4,12,36,4,4,3,3,9,1,3,3,2,6,3,3,3,3,1,3,3,3,6,2,6,2,2,4,6,6,12,6,3,3,3,1,3,
3,1,18,3,1,6,3,3,3,3,3,3,3,6,3,3,3,3,9,3,6,27,3,3,6,3,6,3,3,6,4,4,4,2,2,2,4,4,
4,4,1,2,9,9,1,2,9,6,2,3,1,3,1,3,1,3,1,3,1,1,3,1,3,3,4,2,1,2,2,2,4,3,1,3,1,9,1,
1,1,1,1,1,1,1,1,1],[1,16,18,48,1,18,9,9,4,32,96,8,32,96,48,48,2,8,12,12,48,18,
6,36,12,15,48,18,24,30,18,24,48,48,48,48,9,15,36,6,18,6,6,16,8,8,4,8,12,24,12,
8,24,24,16,8,72,24,48,24,48,24,16,24,48,48,24,24,48,24,48,72,48,24,24,48,96,
12,2,12,6,24,6,24,4,24,24,24,24,24,12,12,3,24,12,12,12,12,12,24,6,12,12,24,24,
24,24,24,15,24,18,12,18,24,18,9,12,6,9,24,9,3,3,12,12,48,24,48,36,24,24,24,24,
24,6,6,18,6,12,12,8,16,8,16,16,8,16,4,24,24,8,4,8,12,12,4,4,24,12,4,4,8,24,1,
24,4,24,24,24,12,24,6,24,24,24,12,24,12,24,24,24,12,24,24,18,24,12,8,24,12,24,
24,12,12,12,48,8,24,8,24,12,24,24,24,12,24,12,24,24,24,24,24,12,6,12,6,12,6,1,
24,6,8,6,6,24,12,12,24,12,12,12,24,12,6,24,24,6,12,48,3,12,12,6,12,3,6,3,12,6,
6,12,3,6,6,12,6,6,24,12,9,12,3,12,24,9,6,24,3,6,3,12,3,12,12,8,4,8,8,8,8,8,8,
16,8,4,12,8,24,8,8,4,4,8,4,4,12,4,4,4,8,4,2,2,1,2,3,6,3,12,12,24,12,12,8,12,
24,12,3,12,12,24,6,6,6,12,12,12,12,12,4,12,6,6,8,24,12,12,6,6,12,12,12,12,12,
12,6,3,12,6,1,12,6,4,3,12,6,6,6,6,12,12,6,3,6,12,6,3,3,3,6,3,3,3,4,8,8,4,4,8,
8,2,4,2,4,4,2,4,4,4,4,4,1,6,6,2,1,2,3,3,1,1,6,1,2,3,1,6,6,6,12,4,6,6,12,3,6,6,
6,6,3,6,3,4,2,1,2,2,2,2,2,2,4,2,3,2,2,6,2,1,1,2,1,1,3,1,1,1,2,1,3,1,2,2,1,1,2,
2,1,1,1,1,1],[1,4,6,12,1,30,9,9,4,2,12,2,2,12,12,12,2,2,12,6,6,24,24,9,6,18,6,
18,18,6,12,12,6,12,12,6,18,9,6,24,21,36,12,18,6,18,12,16,4,16,12,12,2,1,2,6,6,
6,6,4,6,12,12,6,12,12,12,6,6,24,2,24,6,6,6,1,6,6,6,6,6,6,6,3,12,18,12,3,18,9,
3,18,3,9,9,24,18,6,18,6,24,12,24,12,12,9,6,9,6,12,6,12,36,6,18,18,12,6,12,24,
6,24,6,18,18,6,6,18,6,18,18,6,24,12,12,8,8,8,8,4,12,12,8,8,4,12,8,8,1,1,6,6,6,
6,3,3,6,6,2,6,6,6,12,2,2,6,6,6,6,6,6,12,12,3,12,6,6,3,9,12,12,1,6,2,6,12,6,6,
6,6,3,3,6,6,6,12,6,6,3,6,6,6,9,9,3,6,12,6,9,6,18,6,6,9,9,9,3,9,3,6,18,12,12,9,
12,6,18,6,6,12,12,6,6,12,12,12,12,12,12,8,4,8,8,8,4,4,12,4,12,4,4,8,8,1,4,3,3,
6,3,2,6,3,6,3,1,3,3,3,2,6,6,6,6,6,9,6,6,3,1,3,1,9,6,3,6,12,12,3,6,3,3,3,3,3,3,
3,3,9,3,3,3,3,3,9,3,6,12,4,4,4,2,2,2,4,4,4,4,1,2,3,3,2,2,1,2,3,2,3,1,3,3,3,3,
3,3,3,3,3,3,3,3,3,4,2,1,2,2,2,3,1,1,1,3,1,2,2,3,1,1,1,1,1,1,1,1],[1,8,12,32,3,
36,7,21,4,12,48,4,12,48,32,32,3,6,4,6,36,36,27,36,18,9,24,9,6,54,27,16,36,36,
24,36,1,36,4,16,21,21,18,6,24,27,54,54,54,6,8,8,4,8,12,12,8,4,4,12,12,6,8,12,
6,6,24,12,24,6,24,6,12,12,24,36,12,8,36,12,24,24,36,12,4,12,24,16,16,12,24,12,
72,6,9,18,3,6,9,12,3,12,6,6,6,6,12,18,1,12,6,12,18,18,18,12,3,18,18,18,18,12,
18,12,12,27,3,36,18,18,6,24,27,12,27,3,54,12,27,3,36,27,6,27,54,9,18,36,36,9,
18,18,18,6,16,24,36,18,24,36,16,24,18,24,12,12,7,27,54,16,18,54,6,6,4,8,8,8,8,
8,8,1,8,4,8,8,8,12,4,12,4,8,8,4,12,4,4,4,12,12,4,12,12,4,12,12,24,12,3,12,6,6,
4,12,2,12,8,12,6,12,6,12,12,6,3,12,6,12,3,12,3,6,6,6,12,6,6,6,18,6,6,12,6,12,
6,12,12,12,24,12,18,6,4,18,6,24,12,18,6,12,18,12,12,12,12,16,24,36,12,18,3,18,
3,3,18,6,9,3,9,3,9,18,6,6,12,3,3,6,6,3,3,3,3,6,4,18,6,4,3,6,18,12,18,6,4,9,18,
36,6,18,6,6,6,9,18,18,6,6,9,36,18,18,6,6,9,6,6,18,18,9,12,9,3,27,3,27,3,3,3,3,
3,9,12,18,6,9,6,18,9,6,12,12,3,3,18,18,18,12,18,36,18,12,2,2,4,4,4,4,4,4,4,8,
8,8,8,1,2,3,3,1,2,1,3,3,4,4,4,4,4,4,4,4,12,4,12,4,4,4,4,4,4,4,4,4,12,12,4,4,4,
4,4,4,6,6,12,3,6,3,3,6,4,6,1,6,4,6,6,12,6,6,3,6,6,6,12,3,3,3,6,6,3,3,3,9,3,6,
6,6,6,6,6,6,6,6,6,4,18,6,4,6,6,6,18,6,6,6,6,6,6,9,18,6,3,3,3,3,9,6,3,6,6,3,6,
6,3,3,3,3,3,6,3,1,6,6,9,6,18,3,6,6,1,6,6,6,3,6,9,6,3,6,3,9,9,3,3,2,1,2,2,2,2,
2,1,2,2,2,2,4,4,4,4,4,4,4,3,1,3,1,2,2,1,3,1,1,3,1,3,3,3,1,1,3,3,6,4,4,4,4,4,4,
4,4,6,3,6,3,3,1,6,3,6,3,3,3,3,3,3,6,6,6,6,3,3,3,3,1,2,2,1,1,1,1,1,1,2,2,1,1,1,
1,1,1,4,1,1,3,3,1,1,1,1,1,1,1,1,1,3,1,3,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1],[1,8,6,8,1,6,13,13,16,12,24,4,12,24,8,8,4,6,12,3,12,12,24,6,12,4,12,
13,3,24,14,42,6,6,32,32,16,16,16,8,6,24,12,24,12,24,12,8,12,24,4,12,4,1,4,3,6,
12,12,3,3,12,3,3,3,12,12,24,24,12,12,14,6,6,6,12,12,2,6,6,14,6,12,6,12,2,6,16,
32,32,4,16,16,8,4,2,8,6,12,6,12,12,12,12,24,4,1,3,6,3,3,6,3,12,12,3,6,3,12,6,
6,12,6,6,12,2,6,6,2,6,12,6,6,12,6,8,8,16,4,4,4,8,8,8,8,1,6,6,6,6,6,6,3,3,1,6,
3,6,6,6,6,6,4,8,8,4,4,8,8,3,2,6,1,3,4,1,1,2,1,1],[1,4,18,28,25,16,6,36,28,6,6,
4,12,36,27,18,54,18,36,26,30,16,16,16,16,16,16,16,6,4,12,18,18,12,12,4,36,12,
12,18,18,12,18,18,1,12,12,12,6,18,27,18,3,36,36,12,2,18,30,12,2,16,16,16,4,16,
16,16,16,8,12,18,1,12,6,6,18,6,6,12,12,6,3,18,6,6,6,18,6,3,3,3,6,3,3,18,18,6,
6,12,12,4,4,16,4,4,4,4,4,8,8,8,8,6,6,6,3,6,6,3,6,6,3,6,1,3,3,3,6,6,4,4,4,4,4,
4,4,8,8,3,1,3,3,3,3,3,4,1,3,1,1,1,1],[1,4,6,28,12,13,12,16,6,12,24,4,24,6,4,
12,6,12,3,18,12,18,12,6,24,12,24,12,36,14,12,6,24,16,16,16,16,16,16,16,4,6,12,
6,12,12,6,12,12,4,12,12,24,12,6,12,6,12,12,1,12,12,6,12,6,18,12,6,3,6,3,12,24,
12,12,12,12,12,12,24,2,6,6,12,24,12,2,16,16,16,4,16,16,16,16,8,12,1,12,6,12,6,
6,6,6,6,12,12,12,6,6,3,6,6,12,6,3,3,3,6,6,3,6,12,3,6,6,6,6,12,12,12,12,4,4,16,
4,4,4,4,4,8,8,8,8,6,3,6,6,6,6,3,6,6,3,1,3,3,3,6,6,6,4,4,4,4,4,4,4,8,8,3,1,3,3,
3,3,3,4,1,3,1,1,1,1],[1,16,16,24,3,48,3,9,4,32,72,8,32,72,24,24,1,6,12,6,12,
48,9,108,18,9,36,3,6,54,9,12,12,12,36,12,1,48,8,12,9,9,6,6,72,27,18,54,18,6,
16,8,8,12,24,4,8,12,6,24,12,16,6,72,12,36,6,36,6,4,12,36,12,12,24,12,12,36,72,
12,12,8,32,36,12,12,12,36,12,24,6,3,18,1,6,3,12,3,12,6,6,6,6,36,18,3,12,6,36,
18,18,18,12,3,18,18,6,6,12,6,12,16,9,3,108,6,18,16,36,27,18,9,3,54,18,9,3,36,
9,6,9,18,27,18,108,36,9,18,6,6,6,12,36,12,6,36,12,12,24,6,24,12,12,3,27,18,12,
6,18,6,18,8,16,8,16,16,8,16,4,8,8,24,4,24,4,24,8,4,12,4,12,4,12,24,1,12,3,12,
6,6,12,12,6,12,24,12,6,12,6,12,12,16,3,36,6,18,3,18,3,6,6,18,12,6,2,6,6,6,2,
12,2,12,6,12,12,12,36,36,6,6,12,6,6,36,36,6,6,12,6,12,12,12,12,12,36,12,12,18,
3,18,1,3,18,2,3,3,3,3,9,18,6,6,12,3,3,6,6,3,3,3,3,6,12,18,6,12,9,6,18,36,18,6,
12,9,18,36,6,18,6,6,6,9,18,18,6,6,9,36,6,6,6,6,3,6,6,6,6,9,18,3,3,9,3,9,3,3,3,
3,3,27,36,18,6,3,6,6,9,6,18,18,3,3,6,18,18,12,6,12,6,12,4,8,8,8,16,8,8,8,8,8,
4,4,8,4,4,8,8,12,24,8,4,4,12,8,4,4,4,2,2,3,6,1,2,3,6,6,12,3,6,3,3,6,12,6,3,6,
12,6,6,12,6,6,3,6,6,6,18,3,3,3,18,6,3,1,3,3,3,2,6,6,2,6,6,6,6,6,6,12,6,6,12,6,
6,6,6,6,6,6,6,6,6,9,18,6,1,3,3,3,9,6,1,6,6,3,6,6,3,3,3,3,3,6,3,3,6,6,9,6,18,3,
6,6,3,6,6,6,3,6,9,6,3,6,3,3,3,3,3,4,4,4,2,8,8,8,8,4,2,4,4,2,4,4,4,4,4,1,2,2,6,
1,6,1,1,6,2,3,1,3,1,3,6,6,3,6,3,3,3,6,3,6,3,3,1,3,3,3,6,6,6,6,3,3,3,3,4,1,2,2,
2,4,2,2,2,2,2,1,2,1,1,2,2,3,6,2,1,1,1,1,3,2,1,3,1,1,1,2,2,2,2,1,1,1,1,1],[1,4,
4,36,3,12,3,9,4,2,12,2,2,12,12,12,1,6,24,12,9,18,3,18,3,12,18,9,18,24,24,18,
24,1,12,2,18,9,9,6,9,18,18,18,12,6,18,16,12,4,16,12,12,1,12,6,6,4,6,12,12,6,
12,2,2,6,6,6,6,24,3,1,12,3,18,12,3,18,12,12,12,12,4,9,12,18,1,6,9,9,9,6,18,9,
9,6,9,12,9,18,9,18,6,3,9,12,12,12,6,6,6,18,6,24,12,18,24,6,12,24,24,24,12,12,
3,9,18,6,12,18,18,18,6,18,18,8,8,8,4,8,12,8,12,8,8,12,4,8,1,6,6,12,1,6,3,3,6,
2,6,6,6,2,2,6,6,6,6,6,6,6,6,12,12,1,2,3,6,3,6,6,3,9,6,6,6,6,9,18,6,6,9,12,6,6,
6,6,12,6,6,6,6,6,12,3,9,3,6,9,6,9,6,6,6,6,9,3,3,3,3,9,9,6,12,6,6,6,6,9,18,6,
12,12,12,12,12,24,12,12,6,18,12,4,8,8,8,8,4,4,8,4,4,12,4,12,8,3,1,4,3,6,3,6,6,
6,3,3,1,3,3,3,6,6,2,2,6,6,1,6,1,3,9,3,9,6,6,3,6,3,3,9,3,6,3,3,3,3,3,6,3,3,6,3,
9,6,3,3,3,3,12,12,4,4,4,2,2,2,4,4,4,4,1,2,3,2,3,2,2,1,3,2,3,3,3,1,3,3,3,3,3,3,
3,3,3,3,3,4,1,2,2,2,2,1,2,1,1,3,1,3,2,3,1,1,1,1,1,1,1,1],[1,16,16,24,1,20,3,
15,4,32,72,8,32,72,24,24,1,6,12,6,12,16,5,36,18,9,36,3,6,30,21,12,12,12,36,12,
2,12,3,6,2,2,9,18,12,30,18,12,12,12,16,8,8,4,8,4,8,20,6,24,12,16,6,72,12,36,6,
36,6,4,12,36,12,12,24,12,12,36,72,12,12,12,12,12,4,36,36,24,6,1,6,1,6,5,12,3,
12,6,6,6,6,12,18,3,12,6,12,18,6,6,12,3,6,6,6,6,12,6,12,1,1,6,6,9,18,3,3,6,6,9,
9,12,9,6,3,18,9,6,12,9,6,6,6,24,6,12,6,24,12,6,12,6,12,6,12,12,24,24,6,6,6,6,
6,6,3,12,3,6,12,12,24,8,16,8,16,16,8,16,4,8,8,8,4,8,4,4,8,8,4,8,8,8,8,1,12,3,
12,6,6,12,12,6,12,24,12,6,12,6,12,12,1,6,18,3,6,9,6,6,18,12,6,2,6,6,6,2,12,2,
12,6,12,12,12,6,6,12,6,6,6,6,12,6,12,12,12,12,24,12,12,12,12,24,6,3,6,1,3,2,6,
3,2,6,2,2,6,6,12,3,3,6,6,6,6,6,3,6,6,6,6,9,6,12,6,6,3,3,6,6,3,12,12,3,3,3,3,3,
6,3,3,6,3,12,6,12,6,6,6,6,6,6,12,6,6,6,6,12,6,6,12,12,12,6,6,4,8,8,8,16,8,16,
4,4,8,4,8,4,4,4,4,8,8,2,2,1,2,1,2,5,6,6,12,3,6,6,6,3,6,6,6,12,3,6,3,3,1,3,3,6,
3,6,6,12,12,6,4,6,6,6,12,3,6,1,3,3,1,6,6,3,3,3,3,3,6,3,3,3,3,6,3,3,3,3,6,3,3,
3,3,4,4,4,2,4,2,4,4,2,4,4,4,4,4,1,2,2,2,1,2,1,1,2,2,1,2,2,2,2,3,3,3,3,3,3,3,1,
3,3,3,3,3,3,3,4,1,2,2,2,4,2,4,1,2,1,2,1,1,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,4,4,
36,1,32,3,15,4,2,12,2,2,12,12,12,1,6,24,4,5,24,18,3,18,3,12,18,21,18,24,24,18,
24,14,6,6,3,6,2,8,24,15,18,24,30,12,12,6,6,12,16,4,16,4,16,20,12,1,12,6,6,4,6,
12,12,6,12,12,12,6,4,6,12,24,1,12,1,12,5,6,12,12,3,12,6,12,12,12,12,1,4,12,6,
3,6,3,9,3,6,6,3,9,6,24,9,12,3,18,6,12,12,24,9,6,6,6,3,3,12,12,12,12,6,6,24,6,
12,24,12,12,12,12,12,48,12,48,24,24,12,36,24,24,6,6,6,6,6,6,12,6,3,6,3,6,24,
12,12,24,8,8,8,8,4,4,8,8,4,8,8,8,8,4,4,8,8,8,1,6,6,12,1,6,3,3,6,2,6,6,6,2,2,6,
6,6,6,6,6,12,12,12,12,6,6,3,6,1,6,2,3,6,6,6,3,2,3,6,2,2,6,6,6,3,6,6,6,12,6,3,
6,6,12,6,6,12,6,6,6,6,6,6,12,24,3,3,6,9,3,6,3,6,6,3,3,6,3,6,3,3,3,3,6,6,12,6,
6,6,12,6,9,6,6,6,6,6,6,6,24,12,6,12,12,12,12,24,12,12,12,12,12,12,6,6,4,8,8,8,
8,16,4,4,4,8,4,4,4,4,8,8,8,16,1,4,1,4,5,6,3,6,6,6,3,3,1,3,3,3,6,6,6,6,4,6,6,
12,3,6,3,3,3,1,1,6,6,6,12,6,3,6,3,3,3,3,6,3,6,3,3,3,6,3,3,3,3,3,6,3,3,3,3,6,6,
12,12,12,4,4,4,2,2,2,4,4,4,4,1,2,1,2,2,1,2,2,2,1,2,1,2,2,2,3,3,3,1,3,3,3,3,3,
3,3,3,3,3,3,4,1,2,2,2,2,4,1,2,1,1,1,1,1,2,2,2,4,3,1,1,1,1,1,1,1,1],[1,12,6,36,
3,18,9,27,4,6,36,6,6,36,36,36,2,6,36,18,18,9,18,18,18,54,54,18,36,36,18,36,1,
18,6,18,27,27,12,6,27,108,54,108,18,6,54,36,8,12,12,24,36,6,3,6,18,18,18,18,
12,18,36,36,18,36,6,6,18,18,18,12,18,36,72,6,6,18,18,3,18,18,18,18,18,18,18,6,
18,3,18,3,18,27,9,54,9,54,9,54,9,54,18,54,108,9,18,27,36,18,36,108,18,36,108,
18,18,18,18,36,18,18,36,18,18,36,36,36,36,9,27,108,18,18,18,54,108,18,54,27,
18,27,216,4,24,24,4,4,36,12,36,12,4,24,36,24,24,1,3,18,18,3,3,9,9,9,9,18,18,6,
18,18,18,36,6,6,18,18,18,18,18,18,36,36,18,18,36,36,18,18,2,3,6,18,9,18,9,1,
18,6,18,18,12,6,3,3,9,9,9,9,18,18,18,36,18,18,9,18,18,18,36,36,9,9,18,9,54,9,
54,9,9,9,9,9,9,18,9,9,9,9,27,9,27,9,18,18,18,108,18,18,18,27,54,18,108,18,18,
36,18,36,18,18,6,54,36,4,12,12,8,24,12,12,12,12,12,12,36,12,24,2,3,3,6,9,3,9,
9,6,18,9,9,9,9,3,9,9,9,18,6,18,6,6,12,18,18,36,6,9,9,9,3,3,9,3,18,9,3,18,9,9,
9,9,9,9,9,18,9,9,9,9,9,9,18,27,9,9,18,9,18,9,9,18,12,4,12,4,12,4,12,1,6,6,1,1,
9,3,9,3,1,6,9,6,6,9,3,9,3,9,3,9,1,9,3,3,9,3,9,9,4,1,3,3,2,6,3,3,3,3,3,3,9,3,6,
3,3,1,3,1,3,1,3,1],[1,12,4,12,3,12,3,9,4,6,12,6,6,12,12,12,1,8,6,12,9,18,3,6,
3,12,18,9,6,6,1,12,6,6,9,9,6,8,9,18,18,18,12,6,18,8,12,4,8,12,6,3,6,6,6,6,6,
12,6,12,12,6,12,6,6,6,6,6,12,6,12,3,1,6,3,4,12,6,6,12,18,3,18,4,9,4,18,3,6,9,
3,9,6,18,3,9,6,9,6,9,18,9,18,6,3,9,6,6,6,12,6,6,6,6,12,12,3,9,18,6,18,18,18,
12,6,18,18,4,8,8,4,4,12,4,12,4,12,4,8,8,1,3,6,6,3,3,3,3,3,3,6,6,6,6,6,6,6,12,
6,6,6,6,6,12,6,6,12,12,1,3,3,3,3,3,3,2,9,2,4,3,6,6,3,6,3,6,6,6,6,6,6,6,9,18,6,
9,3,3,3,6,9,3,9,3,6,3,3,6,9,6,3,3,3,3,3,3,9,9,6,9,18,6,12,6,18,12,4,4,4,8,8,4,
4,4,4,12,12,4,4,2,3,1,2,3,3,3,3,6,6,3,3,3,3,3,3,3,3,6,6,6,6,6,6,1,3,3,3,9,1,9,
1,6,3,3,3,3,3,3,3,3,6,3,3,9,3,3,3,9,3,3,3,3,3,4,4,4,4,4,4,4,1,2,2,1,1,3,1,3,1,
1,2,3,2,3,3,3,3,3,3,3,3,1,3,3,3,3,3,3,4,1,1,1,2,2,1,1,1,1,3,1,3,1,3,1,1,1,1,1,
1,1,1],[1,12,6,36,1,30,9,9,4,6,36,6,6,36,36,36,2,6,36,6,6,24,24,9,18,18,18,18,
18,18,36,36,18,36,12,2,6,9,2,24,21,36,12,6,6,18,12,8,4,16,12,24,12,6,3,6,18,
18,18,18,12,18,36,36,18,36,12,12,18,18,72,2,24,6,18,6,3,18,18,18,18,18,18,18,
1,12,6,12,1,6,9,9,18,9,3,3,24,18,18,18,6,24,12,24,12,12,9,18,9,6,36,18,36,36,
18,6,6,12,18,12,24,18,24,6,6,6,6,6,6,6,18,6,6,24,12,12,4,24,24,8,8,12,12,8,8,
4,24,12,8,24,8,1,3,18,18,6,6,9,9,18,18,6,18,18,18,36,6,6,6,6,18,6,6,18,12,12,
1,12,2,6,9,3,12,12,1,18,6,6,12,18,2,6,6,9,9,18,18,18,36,6,6,9,6,6,18,3,3,3,6,
12,6,3,6,6,6,6,3,3,9,9,3,3,18,6,12,12,9,12,18,6,6,6,12,12,6,6,12,12,12,12,12,
12,8,12,8,24,4,8,4,4,12,4,4,8,8,16,2,1,4,3,6,3,6,9,6,18,3,6,3,3,9,3,3,6,18,6,
6,6,6,3,6,6,1,1,9,3,3,6,1,6,12,12,3,6,3,9,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,12,4,
4,4,4,4,4,4,1,6,6,2,2,3,3,2,2,1,6,3,2,6,2,3,3,3,3,3,3,3,1,3,3,3,3,3,3,3,4,2,3,
2,6,1,2,1,1,3,1,1,2,2,4,3,1,1,1,1,1,1,1,1],[1,12,4,12,1,32,3,15,4,6,12,6,6,12,
12,12,1,8,6,4,5,24,18,3,6,3,12,18,21,6,6,14,2,18,3,6,2,24,15,18,24,30,12,12,6,
6,12,8,4,16,4,8,20,6,3,6,6,6,6,6,12,6,12,12,6,12,12,24,6,12,6,24,1,12,1,6,5,4,
12,6,6,12,6,12,3,12,6,1,12,12,6,1,6,3,3,3,6,6,9,9,6,24,9,6,3,18,6,12,12,24,9,
6,6,6,3,3,12,6,6,24,6,12,12,12,12,12,12,6,6,6,12,6,6,6,6,3,6,3,6,24,12,12,24,
4,8,8,8,8,4,4,8,8,8,8,8,4,4,8,8,1,3,6,6,6,6,3,3,6,6,6,6,6,6,6,6,6,12,6,6,6,6,
6,12,12,12,6,6,6,2,1,3,2,6,6,6,3,2,2,3,2,1,12,6,6,3,6,9,6,6,6,6,6,6,6,3,6,6,6,
12,3,6,3,3,3,6,6,12,6,6,6,3,6,3,3,3,3,3,3,6,6,6,6,6,12,12,6,9,6,6,6,6,6,12,6,
12,12,6,6,8,4,8,8,8,4,8,4,4,4,4,4,8,8,8,2,1,4,1,2,5,6,3,6,6,6,3,6,3,3,3,3,3,6,
6,6,6,6,6,6,3,6,1,3,1,1,3,6,6,6,3,6,6,3,3,3,3,6,3,6,3,3,3,3,6,3,3,3,3,3,3,3,3,
6,4,4,4,4,4,4,4,1,2,2,2,2,1,1,2,2,2,2,1,2,2,1,2,3,3,3,3,3,3,3,3,3,3,1,3,3,3,3,
4,2,1,2,2,2,1,2,1,1,1,1,1,2,2,2,3,1,1,1,1,1,1,1,1],[1,18,3,54,9,27,4,2,12,12,
54,18,108,36,15,18,90,54,1,54,27,27,12,72,45,108,90,108,6,54,6,18,36,8,12,24,
12,36,12,6,36,6,18,36,36,3,12,36,36,36,36,6,36,36,18,18,108,36,45,54,90,54,72,
54,54,108,27,36,108,72,18,36,9,27,3,9,12,36,108,36,108,9,45,108,18,54,18,18,
108,18,54,27,27,18,18,36,36,36,36,216,24,4,24,4,24,36,36,12,24,4,36,12,4,24,1,
36,6,36,2,36,18,18,18,36,1,6,18,18,12,12,36,9,36,36,36,18,36,72,3,9,12,36,18,
36,36,18,72,3,18,18,15,18,54,54,27,36,18,27,27,9,9,36,36,108,36,36,27,18,54,
36,108,9,9,18,36,18,18,9,18,6,6,54,18,36,36,36,36,18,18,8,12,24,4,12,12,12,12,
12,36,12,12,12,24,2,3,6,3,9,12,18,36,3,18,6,18,3,18,18,18,9,18,36,3,12,18,36,
9,9,9,18,6,18,9,18,18,9,36,9,3,12,27,18,9,9,36,9,18,18,4,12,12,4,4,12,12,6,1,
6,1,6,9,9,3,6,1,1,9,3,6,6,9,18,1,6,9,18,3,9,3,9,4,2,3,6,1,3,3,3,3,3,9,3,3,3,6,
3,1,3,3,1,1,3,3,1],[1,16,24,3,48,3,9,4,1,2,12,6,12,48,9,108,18,9,12,3,18,54,9,
12,12,12,12,12,1,48,12,9,9,6,2,72,27,18,54,18,18,8,12,24,4,16,12,6,3,18,1,12,
3,12,1,12,6,6,36,18,3,12,6,36,18,18,18,3,18,18,6,6,12,6,16,9,1,108,6,18,27,6,
9,9,54,6,9,9,36,9,12,9,18,27,18,108,36,9,18,12,12,6,12,12,6,12,6,12,12,6,12,
12,24,6,24,24,12,12,3,27,18,6,18,6,18,12,24,4,24,4,24,12,8,12,8,12,24,8,8,8,8,
1,18,3,18,1,18,3,6,3,6,9,18,6,2,6,2,6,6,12,1,6,3,3,6,6,6,6,12,18,6,9,6,18,36,
18,6,9,18,36,6,6,18,9,18,18,9,36,6,6,6,3,6,6,6,6,12,9,6,3,9,9,6,9,6,3,3,27,18,
6,3,9,6,6,6,6,6,6,12,6,18,18,6,6,6,12,12,24,12,12,6,6,12,12,8,12,24,8,4,8,12,
4,4,4,4,8,8,16,2,3,6,1,4,3,6,9,18,6,1,6,9,3,1,3,1,6,6,12,6,3,6,6,3,3,3,3,3,6,
3,6,6,9,18,3,6,3,3,3,9,3,3,3,3,3,3,3,6,6,3,3,6,3,6,3,12,4,4,4,4,4,4,4,6,1,6,1,
6,3,2,3,2,3,6,2,2,2,2,3,3,3,3,1,3,3,3,3,3,3,3,3,3,3,4,2,3,6,2,1,2,3,1,1,1,1,2,
2,4,3,1,1,1,1,1,1,1,1],[1,18,1,18,9,9,4,2,12,12,18,6,36,12,15,18,30,18,8,24,9,
8,15,36,24,6,18,6,6,8,4,8,12,12,12,2,12,6,6,12,12,3,12,12,12,12,12,6,12,12,4,
24,16,48,15,18,24,12,18,18,9,12,6,9,9,3,3,12,12,36,24,24,24,24,6,6,24,18,24,6,
12,12,8,4,8,8,4,12,12,4,4,12,4,4,8,1,12,6,12,4,8,6,12,6,1,6,6,6,8,12,12,3,12,
12,12,6,12,3,3,12,12,6,12,12,6,3,6,6,12,12,12,24,24,12,9,12,3,12,24,9,6,24,3,
3,12,12,3,12,12,8,4,8,4,4,4,12,4,4,12,4,4,4,2,1,2,3,3,12,6,12,3,6,12,4,1,6,12,
4,3,6,6,12,3,12,3,3,3,6,6,3,6,6,3,12,3,3,12,6,4,4,4,4,4,4,4,2,1,2,1,2,3,3,1,1,
1,3,1,2,6,3,6,4,6,6,3,3,6,4,2,1,2,1,1,3,1,1,1,3,1,1,1,3,1,1,1,1,1,1,1,1],[1,
16,24,1,20,3,15,4,1,2,12,6,12,16,5,36,18,9,12,3,18,30,21,12,12,12,12,12,2,8,
12,3,6,2,6,9,18,12,30,6,12,12,12,8,4,8,4,16,20,6,1,6,1,12,5,12,1,12,6,6,12,18,
3,12,6,12,18,6,6,3,6,6,6,6,12,6,1,3,6,6,16,36,9,6,3,9,6,18,9,3,12,9,12,3,18,9,
6,12,9,6,12,6,6,24,12,6,12,12,12,6,24,6,12,12,6,12,12,6,24,12,12,6,12,6,6,6,6,
6,3,3,6,12,12,24,8,4,8,8,4,4,8,8,4,4,8,8,8,8,8,8,1,6,3,6,3,2,1,6,2,3,3,6,2,2,
6,6,2,6,6,12,1,6,3,3,6,6,6,6,6,6,12,3,6,6,6,6,12,9,6,12,6,6,6,6,3,6,6,3,6,6,6,
6,6,3,6,6,6,6,12,3,3,3,6,3,6,3,6,3,6,18,6,3,9,6,3,3,12,6,6,6,6,6,12,6,6,12,6,
6,6,6,6,6,6,12,12,12,6,6,8,4,8,8,8,4,4,8,4,4,4,4,8,8,8,2,1,2,1,4,5,6,3,6,6,6,
3,6,1,3,1,1,3,6,6,6,6,3,6,6,3,3,3,3,3,6,3,6,3,6,3,6,6,3,3,6,3,3,3,3,3,6,3,3,3,
3,3,3,3,6,3,6,6,6,4,4,4,4,4,4,4,2,1,2,1,2,1,2,2,1,1,2,2,2,2,2,2,3,3,3,3,3,3,1,
3,3,3,3,3,3,3,3,4,2,1,2,2,2,1,2,1,1,1,1,1,2,2,2,3,1,1,1,1,1,1,1,1],[1,12,10,
36,17,1,18,60,36,2,6,4,4,36,11,30,26,42,36,18,14,10,4,12,17,6,12,12,30,42,12,
12,12,36,12,4,6,18,12,18,18,1,12,4,12,2,18,11,30,3,20,60,12,2,10,14,12,2,2,6,
2,4,20,4,12,11,10,26,14,12,12,18,14,12,18,3,12,6,6,30,6,18,12,12,2,1,18,2,6,6,
18,6,3,3,9,6,1,3,10,6,6,6,12,12,2,4,4,6,6,4,4,10,14,4,4,6,6,1,4,4,4,12,4,4,2,
6,11,10,3,20,20,4,2,10,14,4,2,6,6,6,9,6,6,1,6,2,3,6,1,9,1,3,2,6,4,6,2,4,2,1,6,
2,2,1,4,2,10,2,6,2,4,6,2,1,3,3,2,1,1,10,6,6,2,4,4,3,3,3,1,3,3,3,2,2,2,1,2,2,2,
3,2,1,2,1,3,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,24,8,48,3,24,3,9,4,36,96,12,36,96,
48,48,1,6,4,2,36,24,9,36,6,5,48,3,6,30,9,24,36,36,48,36,1,24,12,24,9,9,6,6,24,
15,18,30,18,6,32,16,32,12,6,24,12,18,6,72,12,48,6,48,6,12,12,48,36,12,24,36,
12,48,72,36,12,12,36,48,24,24,12,48,12,72,2,3,6,1,6,3,12,3,12,6,6,6,6,12,6,1,
12,2,12,6,6,6,12,1,6,6,18,18,12,18,12,8,9,3,36,18,6,18,48,15,24,9,3,30,24,9,3,
12,9,6,9,18,9,6,36,12,3,6,18,6,6,24,48,36,18,48,36,24,24,18,24,12,12,3,15,18,
24,18,18,6,6,4,24,4,16,64,8,24,20,32,12,4,32,24,1,12,3,12,6,6,12,12,6,12,24,
12,6,12,6,12,12,18,3,36,6,24,3,24,3,6,6,18,12,6,6,6,18,6,6,12,6,12,6,12,12,12,
48,36,18,6,12,18,6,48,36,18,6,12,18,12,12,12,12,24,48,36,12,6,1,6,1,3,6,6,3,3,
3,3,3,6,6,6,12,3,3,6,6,3,3,3,3,6,4,6,6,12,3,6,6,12,6,6,12,3,6,12,2,6,6,6,6,3,
6,6,6,6,3,12,18,18,6,6,9,6,6,18,18,5,24,3,3,9,3,9,3,3,3,3,3,9,36,6,6,9,6,18,3,
6,24,24,3,3,18,6,6,12,18,36,18,12,4,8,8,4,4,16,8,32,4,8,8,4,4,4,16,8,8,24,8,8,
4,12,8,4,8,3,6,6,12,3,6,3,3,6,12,6,3,6,12,6,6,12,6,6,3,6,6,6,24,3,3,3,18,6,3,
3,3,9,3,6,6,6,6,6,6,6,6,6,6,12,18,6,12,6,6,6,18,6,6,6,6,2,6,3,6,6,1,3,3,3,3,6,
3,6,6,3,6,6,3,3,3,3,3,6,3,1,6,2,3,6,6,3,6,6,3,6,6,6,1,6,3,6,3,6,3,9,9,3,3,8,4,
4,8,4,1,4,8,4,4,4,8,4,2,6,1,16,6,5,8,3,1,8,6,6,3,6,3,3,3,6,3,6,3,3,3,3,3,3,6,
6,6,6,1,3,3,3,4,2,1,2,1,1,4,2,1,4,2,2,2,2,2,2,1,8,1,1,1,6,3,3,2,1,2,1,1,1,2,1,
2,1,1,1],[1,10,3,30,9,27,4,2,4,4,30,18,36,12,11,18,66,54,1,30,27,27,12,24,33,
108,66,108,6,54,2,6,36,40,36,4,6,12,6,18,12,12,1,4,12,12,12,12,2,12,12,10,18,
36,12,33,54,66,54,24,54,54,108,9,12,36,24,6,12,9,27,1,3,4,12,108,36,108,9,33,
108,18,54,6,6,108,6,54,27,27,6,6,12,12,12,12,216,8,16,16,44,72,24,8,1,12,2,12,
2,12,18,18,6,12,1,2,18,6,12,4,12,3,12,12,12,6,12,24,1,3,4,12,6,12,12,6,24,1,6,
6,11,18,54,54,9,12,6,27,27,3,3,12,12,108,12,12,27,6,54,12,108,3,3,6,12,6,6,3,
6,6,2,54,6,12,12,36,12,6,6,16,24,4,16,8,36,4,16,10,9,4,6,12,1,6,6,6,3,6,18,6,
3,6,12,1,4,6,12,3,3,3,6,2,6,3,6,6,3,12,9,1,4,27,6,3,3,12,3,6,6,8,4,8,2,4,4,4,
4,11,18,6,2,2,3,6,1,2,3,6,1,3,1,3,4,4,6,1,4,2,9,1,4,1,2,1,2,1,1,1],[1,8,24,3,
24,3,9,4,1,6,4,2,12,24,9,36,6,5,12,3,30,30,9,12,12,12,12,12,1,24,12,9,9,6,6,
24,15,18,30,18,30,32,16,12,2,3,6,1,12,3,12,3,12,18,18,12,6,1,12,2,12,6,6,6,1,
6,6,6,6,12,6,8,9,3,36,6,6,15,6,9,15,30,6,9,15,12,9,12,9,18,9,6,36,12,3,6,24,
12,6,12,24,6,24,18,12,12,6,12,12,24,6,24,24,12,12,3,15,18,6,18,18,6,24,4,4,16,
8,8,20,8,12,20,8,1,6,1,6,1,6,3,6,3,6,3,6,6,6,6,6,6,6,12,3,6,9,9,6,6,18,6,4,6,
6,3,6,6,12,6,6,3,6,12,6,2,6,3,6,6,3,12,6,6,6,3,6,6,6,6,12,5,6,3,15,9,6,9,6,9,
9,9,6,6,3,3,12,12,6,6,6,6,24,6,6,6,6,18,6,12,12,24,12,12,6,6,12,12,8,4,8,8,12,
4,8,8,4,4,16,8,8,4,3,2,3,6,6,1,6,3,3,3,3,3,6,6,12,6,3,6,6,9,3,3,9,3,6,1,6,2,3,
6,3,6,3,3,1,3,3,3,3,3,3,3,3,12,6,3,9,6,3,6,3,12,4,4,4,1,4,4,4,4,4,2,1,2,5,2,3,
5,2,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,2,1,2,2,1,2,2,1,3,1,4,2,3,1,1,1,1,1,1,1,
1],[1,12,6,36,3,18,9,27,4,6,36,6,6,36,36,36,2,6,36,18,18,9,18,18,18,54,54,18,
36,36,18,36,1,18,6,18,27,27,12,6,27,108,54,108,18,6,54,36,24,8,24,36,6,3,6,18,
18,18,18,12,18,36,36,18,36,6,6,18,18,18,12,18,36,72,6,6,18,18,3,18,18,18,18,
18,18,18,6,18,3,18,3,18,27,9,54,9,54,9,54,9,54,18,54,108,9,18,27,36,18,36,108,
18,36,108,18,18,18,18,36,18,18,36,18,18,36,36,36,36,9,27,108,18,18,18,54,108,
18,54,27,18,27,216,8,4,4,24,24,36,12,72,12,24,24,24,1,3,18,18,3,3,9,9,9,9,18,
18,6,18,18,18,36,6,6,18,18,18,18,18,18,36,36,18,18,36,36,18,18,2,3,6,18,9,18,
9,1,18,6,18,18,12,6,3,3,9,9,9,9,18,18,18,36,18,18,9,18,18,18,36,36,9,9,18,9,
54,9,54,9,9,9,9,9,9,18,9,9,9,9,27,9,27,9,18,18,18,108,18,18,18,27,54,18,108,
18,18,36,18,36,18,18,6,54,36,4,8,24,12,12,12,12,12,24,12,36,12,24,6,2,6,9,3,9,
9,6,18,9,9,9,9,3,9,9,9,18,6,18,6,6,12,18,18,36,6,9,9,9,3,3,9,3,18,9,3,18,9,9,
9,9,9,9,9,18,9,9,9,9,9,9,18,27,9,9,18,9,18,9,9,18,12,4,4,12,4,2,12,12,1,1,6,6,
9,3,18,3,6,6,6,9,3,9,3,9,3,9,1,9,3,3,9,3,9,9,4,1,2,6,3,3,3,3,3,6,3,9,3,6,3,3,
1,1,3,1,3,3,1],[1,12,4,12,3,12,3,9,4,6,12,6,6,12,12,12,1,12,2,12,9,6,3,6,3,24,
18,9,6,6,1,12,6,6,9,9,6,12,9,18,18,18,24,2,6,16,8,8,12,6,3,6,6,6,6,6,12,6,12,
12,6,12,6,6,6,6,6,12,6,12,3,1,6,3,6,24,6,6,24,6,1,6,4,9,6,6,3,6,9,3,9,12,18,3,
9,12,9,6,9,18,3,6,18,1,3,18,6,18,24,6,6,6,6,12,12,3,9,18,6,6,6,18,24,18,6,6,4,
4,8,8,8,12,4,12,16,8,8,1,3,6,6,3,3,3,3,3,3,6,6,6,6,6,6,6,12,6,6,6,6,6,12,6,6,
12,12,1,3,3,3,3,3,1,6,3,6,6,3,6,12,3,12,3,6,6,18,6,6,2,6,3,6,6,3,3,3,3,12,9,3,
9,3,12,3,3,12,3,6,3,3,3,3,9,9,3,3,18,3,6,18,12,2,6,12,4,4,4,4,4,8,16,4,8,4,12,
4,4,2,2,3,3,3,3,6,6,3,3,3,3,3,3,3,3,6,6,6,6,6,6,1,3,3,3,3,3,3,3,12,3,3,3,3,3,
3,9,3,6,1,3,3,3,9,1,3,9,3,3,3,3,4,4,4,1,4,4,4,4,2,1,2,2,3,1,3,4,2,2,3,3,3,3,3,
3,3,1,3,3,3,3,3,3,3,4,1,1,1,2,2,1,1,1,4,1,3,1,3,1,1,1,1,1,1,1,1],[1,12,4,60,3,
12,3,9,4,6,36,6,6,36,36,36,1,2,48,12,9,6,3,30,3,12,18,9,30,48,48,30,48,1,12,6,
30,9,9,6,9,18,18,18,12,2,6,16,8,40,12,12,3,12,18,18,12,18,36,36,18,36,6,6,18,
18,18,18,72,3,1,12,3,6,12,1,6,24,24,24,12,4,9,24,6,3,18,9,15,9,6,18,15,9,6,9,
12,9,18,3,6,6,1,3,12,24,12,6,6,6,30,18,48,24,30,48,18,24,24,24,24,12,12,3,9,
18,18,24,6,6,18,6,6,6,4,4,24,8,32,12,20,12,8,24,32,8,1,6,6,12,3,6,9,9,6,6,18,
6,6,6,6,18,18,18,18,18,18,18,18,36,12,1,6,3,6,3,6,6,1,3,6,2,6,6,3,6,6,6,3,24,
18,6,12,6,24,18,6,6,6,6,12,3,15,3,6,9,6,9,6,12,6,18,3,9,9,3,3,3,3,6,24,6,6,6,
6,3,6,6,12,24,36,24,12,24,12,12,2,6,12,8,4,8,8,12,24,8,4,16,4,4,8,4,16,2,10,3,
6,3,6,6,6,9,3,3,9,3,3,6,6,6,6,18,18,1,6,3,3,3,3,3,6,6,1,6,3,3,3,3,12,9,3,3,3,
3,6,3,1,6,3,3,6,3,3,3,3,12,12,4,4,4,1,4,4,4,4,2,1,6,8,3,5,3,2,6,8,2,3,3,3,3,3,
3,3,3,1,3,3,3,3,3,3,4,2,1,2,2,2,1,3,6,4,1,1,2,4,3,1,1,1,1,1,1,1,1],[1,6,3,18,
13,39,4,2,18,18,9,18,54,54,1,18,39,39,12,27,108,54,108,12,108,6,18,72,24,52,6,
6,18,6,18,27,54,54,54,54,54,108,9,27,6,18,108,36,108,13,27,108,36,108,18,18,
108,54,27,27,18,18,18,18,216,1,3,6,21,9,36,18,42,18,18,18,18,8,36,72,48,24,1,
2,18,18,1,18,12,9,18,54,54,27,27,18,18,108,27,54,108,3,3,9,9,18,18,12,6,54,18,
18,3,9,18,21,9,36,18,18,36,9,18,18,9,9,18,18,9,18,18,18,18,24,36,24,6,4,12,24,
13,6,3,18,1,3,9,6,27,9,9,9,9,18,9,9,9,9,1,3,6,9,18,18,9,6,18,4,2,12,12,9,18,
12,6,1,3,3,3,3,9,9,4,6,9,6,1,3,6,1,1,3,3,1],[1,12,6,36,3,18,9,27,16,6,36,6,6,
36,36,36,2,6,36,18,18,9,18,18,18,54,54,18,36,36,18,36,1,18,6,18,27,27,12,6,27,
108,54,108,18,6,54,36,48,16,48,6,3,6,18,18,18,18,12,18,36,36,18,36,6,6,18,18,
18,12,18,36,72,6,6,18,18,3,18,18,18,18,18,18,18,6,18,3,18,3,18,27,9,54,9,54,9,
54,9,54,18,54,108,9,18,27,36,18,36,108,18,36,108,18,18,18,18,36,18,18,36,18,
18,36,36,36,36,9,27,108,18,18,18,54,108,18,54,27,18,27,216,4,16,48,48,4,12,3,
18,18,3,3,9,9,9,9,18,18,6,18,18,18,36,6,6,18,18,18,18,18,18,36,36,18,18,36,36,
18,18,2,3,6,18,9,18,9,1,18,6,18,18,12,6,3,3,9,9,9,9,18,18,18,36,18,18,9,18,18,
18,36,36,9,9,18,9,54,9,54,9,9,9,9,9,9,18,9,9,9,9,27,9,27,9,18,18,18,108,18,18,
18,27,54,18,108,18,18,36,18,36,18,18,6,54,36,4,12,12,16,12,36,4,12,4,12,3,9,9,
6,18,9,9,9,9,3,9,9,9,18,6,18,6,6,12,18,18,36,6,9,9,9,3,3,9,3,18,9,3,18,9,9,9,
9,9,9,9,18,9,9,9,9,9,9,18,27,9,9,18,9,18,9,9,18,12,4,12,1,4,12,12,12,12,12,9,
3,9,3,9,3,9,1,9,3,3,9,3,9,9,4,1,3,3,4,4,3,3,1,3,1],[1,18,3,54,9,27,16,2,12,12,
54,18,108,36,15,18,90,54,1,54,27,27,12,72,45,108,90,108,6,54,6,18,36,16,48,48,
12,6,36,6,18,36,36,3,12,36,36,36,36,6,36,36,18,18,108,36,45,54,90,54,72,54,54,
108,27,36,108,72,18,36,9,27,3,9,12,36,108,36,108,9,45,108,18,54,18,18,108,18,
54,27,27,18,18,36,36,36,36,216,8,48,16,48,12,36,6,36,2,36,18,18,18,36,1,6,18,
18,12,12,36,9,36,36,36,18,36,72,3,9,12,36,18,36,36,18,72,3,18,18,15,18,54,54,
27,36,18,27,27,9,9,36,36,108,36,36,27,18,54,36,108,9,9,18,36,18,18,9,18,6,6,
54,18,36,36,36,36,18,18,24,8,24,16,36,4,12,12,18,36,3,18,6,18,3,18,18,18,9,18,
36,3,12,18,36,9,9,9,18,6,18,9,18,18,9,36,9,3,12,27,18,9,9,36,9,18,18,8,24,24,
1,12,12,12,6,9,18,1,6,9,18,3,9,3,9,8,3,1,3,4,3,1,3,3,1],[1,6,3,18,13,39,16,2,
18,18,9,18,54,54,1,18,39,39,12,27,108,54,108,12,108,6,18,72,48,16,48,6,6,18,6,
18,27,54,54,54,54,54,108,9,27,6,18,108,36,108,13,27,108,36,108,18,18,108,54,
27,27,18,18,18,18,216,1,3,6,21,9,36,18,42,18,18,18,18,8,16,48,48,12,2,18,18,1,
18,12,9,18,54,54,27,27,18,18,108,27,54,108,3,3,9,9,18,18,12,6,54,18,18,3,9,18,
21,9,36,18,18,36,9,18,18,9,9,18,18,9,18,18,18,18,24,16,36,4,12,6,3,18,1,3,9,6,
27,9,9,9,9,18,9,9,9,9,1,3,6,9,18,18,9,6,18,8,1,12,12,12,1,3,3,3,3,9,9,3,1,3,4,
1,1,3,3,1],[1,6,3,18,21,63,16,2,18,18,9,18,54,54,1,18,63,63,12,27,108,54,108,
24,216,18,54,144,48,16,48,6,6,18,6,18,27,54,54,54,54,54,108,9,27,18,54,108,36,
108,21,27,108,72,216,54,54,108,54,27,27,54,54,54,54,216,3,9,18,63,27,108,54,
126,54,54,54,54,8,16,48,48,12,2,18,18,1,18,12,9,18,54,54,27,27,54,54,108,27,
54,108,9,9,27,27,54,54,24,18,54,54,54,9,27,54,63,27,108,54,54,36,27,54,54,27,
27,54,54,27,54,54,54,54,24,16,36,12,36,6,3,18,3,9,9,18,27,27,27,27,27,54,27,
27,27,27,3,9,18,27,54,54,27,18,54,8,1,12,36,36,1,9,9,9,9,27,27,3,1,3,12,3,1,3,
3,1],[1,6,3,18,13,39,64,2,18,18,9,18,54,54,1,18,39,39,12,27,108,54,108,12,108,
6,18,72,64,6,6,18,6,18,27,54,54,54,54,54,108,9,27,6,18,108,36,108,13,27,108,
36,108,18,18,108,54,27,27,18,18,18,18,216,1,3,6,21,9,36,18,42,18,18,18,18,32,
16,96,48,144,2,18,18,1,18,12,9,18,54,54,27,27,18,18,108,27,54,108,3,3,9,9,18,
18,12,6,54,18,18,3,9,18,21,9,36,18,18,36,9,18,18,9,9,18,18,9,18,18,18,18,16,
16,48,6,3,18,1,3,9,6,27,9,9,9,9,18,9,9,9,9,1,3,6,9,18,18,9,6,18,8,4,24,12,36,
1,3,3,3,3,9,9,4,4,12,1,1,1],[1,18,1,18,25,25,16,2,12,12,18,6,36,12,15,42,30,
42,25,15,84,30,90,30,30,16,16,16,16,16,16,16,12,2,12,6,6,12,12,3,12,12,12,12,
12,6,12,12,15,42,18,18,9,12,6,15,15,9,9,48,48,60,30,30,30,18,48,48,4,24,30,28,
24,60,30,48,6,18,8,16,16,16,16,16,16,16,12,12,6,12,6,6,1,6,6,6,3,12,6,12,9,9,
6,6,3,6,6,15,9,48,9,6,9,9,36,3,24,12,24,12,48,18,18,36,4,24,30,6,24,24,48,24,
18,36,18,8,8,8,16,12,4,4,4,12,4,12,6,3,6,1,6,3,6,4,4,9,3,3,3,9,3,3,3,6,6,24,
12,18,12,12,18,6,18,6,6,8,1,4,4,12,4,4,4,4,3,3,3,4,6,3,3,3,3,6,6,1,1,1,1,1,1,
1,4,3,1,1,1,1,1,1,1,1],[1,18,1,18,9,41,16,2,12,12,18,6,36,12,15,18,30,66,9,16,
15,36,48,6,66,6,54,48,16,16,16,32,32,12,2,12,6,6,12,12,3,12,12,12,12,12,6,12,
12,15,18,24,18,18,9,12,6,9,21,3,15,12,84,36,24,6,24,6,24,18,6,6,6,12,12,12,36,
36,8,24,48,12,24,30,30,24,48,12,6,6,8,16,32,16,16,32,12,12,6,12,6,6,1,6,6,6,3,
12,6,12,3,15,6,6,3,6,6,9,6,3,6,12,36,9,6,3,3,12,12,12,12,3,24,24,24,48,12,24,
18,18,4,12,24,6,12,6,12,24,24,12,12,12,12,12,12,6,6,12,12,12,12,8,8,8,16,12,4,
4,8,24,6,3,6,1,6,3,6,8,3,6,3,6,6,6,3,3,12,12,12,12,6,12,12,12,3,3,3,3,6,12,12,
6,6,8,1,4,4,12,8,4,4,3,6,4,3,3,3,3,6,6,3,3,1,1,1,2,2,4,3,1,1,1,2,1,1,1],[1,6,
1,30,13,37,16,2,6,6,24,24,9,18,18,18,12,13,12,24,21,84,12,48,12,72,6,54,36,16,
32,16,16,32,2,24,6,6,12,12,9,18,24,18,18,6,24,12,24,12,12,9,9,6,6,42,36,6,24,
12,18,6,24,6,30,6,6,12,18,42,18,42,42,24,1,3,6,13,33,60,6,18,24,24,18,42,12,6,
6,8,16,16,16,32,32,12,12,6,12,12,1,6,12,3,12,6,9,3,6,18,12,12,9,12,6,6,12,6,6,
6,6,3,3,21,21,6,18,12,6,6,6,6,18,6,1,3,6,3,15,24,6,6,24,6,6,15,6,18,3,15,18,
30,15,18,6,18,6,12,12,12,6,6,24,12,24,12,8,16,16,12,8,4,4,24,6,1,6,6,12,1,7,3,
6,3,3,3,9,9,6,6,3,3,9,9,6,6,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,8,1,4,4,12,8,
4,4,3,1,3,6,3,3,3,3,3,3,3,3,3,3,1,2,1,1,2,4,3,1,1,1,2,1,1,1],[1,6,1,30,21,29,
16,2,6,6,24,24,9,18,18,18,12,21,4,24,21,84,12,48,24,84,18,42,12,16,32,16,32,
16,2,24,6,6,12,12,9,18,24,18,18,6,24,12,24,12,12,9,9,6,18,30,36,6,24,24,6,18,
12,6,30,6,6,12,18,54,30,30,30,24,3,9,18,23,27,60,18,6,12,12,30,30,12,6,6,8,16,
16,16,32,32,12,12,6,12,12,1,6,12,3,12,6,9,3,18,6,12,12,9,12,6,6,12,6,6,6,6,9,
9,15,15,18,6,12,6,6,6,6,18,6,3,9,18,1,9,12,6,6,24,6,6,21,18,30,9,9,6,18,9,18,
6,18,6,12,12,12,6,6,24,12,24,12,8,16,16,12,8,12,8,12,6,1,6,6,12,3,5,3,6,3,9,9,
3,3,6,6,9,9,3,3,6,6,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,8,1,4,12,4,8,4,4,3,3,
1,6,3,3,3,3,3,3,3,3,3,3,1,2,1,2,1,4,3,1,1,1,2,1,1,1],[1,24,6,24,3,18,5,15,4,
36,72,12,36,72,24,24,4,18,36,3,36,4,24,18,12,12,36,1,18,12,12,15,15,24,9,24,
18,24,24,2,18,2,6,12,24,16,16,20,24,18,72,36,24,36,24,36,24,36,72,12,36,36,12,
12,36,48,12,1,12,6,36,18,36,9,18,12,12,18,18,12,12,9,36,1,12,3,1,3,4,12,24,24,
12,12,12,12,12,36,36,12,24,24,5,9,24,12,6,18,6,6,6,6,3,12,3,6,6,12,12,12,12,
24,24,16,48,12,24,16,16,16,8,8,1,12,6,24,18,36,18,12,18,12,18,12,12,12,12,24,
36,36,12,36,36,24,12,36,12,12,24,4,12,3,12,12,1,6,3,3,18,4,12,9,36,18,18,12,
12,3,6,3,6,3,3,12,12,12,12,12,12,12,12,3,6,3,6,12,6,12,6,24,2,2,6,6,12,12,12,
6,6,16,24,16,4,16,4,8,4,16,16,6,4,4,5,12,3,12,6,6,18,12,18,6,6,6,6,12,6,6,12,
12,12,12,1,3,3,3,3,3,1,6,1,4,12,3,6,3,12,6,6,6,6,12,4,8,8,4,4,4,6,12,3,6,4,4,
4,2,2,3,3,3,6,6,6,6,1,3,3,3,4,4,1,4,6,4,1,2,1,4,4,3,1,1,1,2,2,1],[1,6,48,3,18,
5,15,4,12,4,24,18,36,3,24,4,12,18,12,24,24,24,24,24,1,18,24,15,15,12,24,9,24,
18,24,12,2,18,2,6,12,24,32,20,24,6,24,12,24,24,12,12,1,24,12,12,12,24,12,6,6,
36,12,9,12,12,6,18,12,12,6,9,36,1,3,1,3,4,12,24,12,24,12,12,12,24,24,12,24,24,
48,12,48,24,24,48,24,24,5,9,24,12,6,18,6,6,12,6,6,3,3,6,6,12,12,12,12,24,8,16,
16,12,16,16,8,16,8,8,1,12,12,24,6,12,6,12,6,12,12,12,6,12,6,24,4,12,3,12,12,
12,1,3,12,12,6,12,12,6,6,24,3,12,4,6,6,12,12,6,9,12,6,3,3,3,3,12,12,12,12,12,
12,12,12,3,3,6,12,6,6,24,12,12,12,24,24,12,12,12,2,2,6,6,12,12,12,12,12,6,6,
16,8,16,4,16,8,4,4,16,16,6,16,8,5,12,6,12,6,6,6,12,6,6,3,6,6,12,6,6,1,12,6,12,
3,3,6,6,3,6,6,1,1,4,12,6,3,12,3,3,12,3,12,12,12,12,8,8,4,4,4,4,2,4,3,4,4,2,4,
2,2,6,3,6,6,3,6,3,1,3,3,3,4,4,1,4,2,4,2,1,1,4,4,4,3,2,1,2,1,1,1],[1,6,3,18,13,
39,4,4,18,36,3,12,18,36,1,18,39,39,24,9,72,18,72,14,126,6,18,84,24,52,12,1,12,
6,36,9,36,18,36,9,36,3,9,3,9,12,36,36,36,13,9,72,42,126,18,18,6,18,9,9,18,18,
36,36,36,36,72,2,6,6,42,18,36,18,84,18,18,36,36,2,18,6,6,16,12,48,56,24,1,4,3,
12,3,9,3,12,9,9,9,9,9,36,36,36,9,9,18,36,18,18,6,18,36,36,6,18,36,18,18,14,6,
18,18,36,36,6,18,18,42,18,36,18,36,6,18,36,18,18,18,36,18,18,36,18,36,36,36,
36,18,36,18,36,18,18,36,36,36,36,4,12,12,48,6,8,24,24,8,13,1,9,9,1,9,6,3,3,12,
9,9,36,18,18,36,18,18,36,18,9,9,18,18,36,36,2,6,6,2,18,36,18,18,36,18,12,18,
36,18,6,6,12,24,24,4,3,12,14,6,3,3,9,6,6,18,18,4,1,3,3,12,2,6,6,2,1,3,6,6,1],[
1,6,3,18,5,15,4,4,18,36,3,4,48,18,12,1,18,15,15,24,9,24,18,24,48,2,18,2,6,12,
24,20,12,1,12,6,36,9,12,24,18,12,24,9,36,1,24,3,1,3,4,12,12,24,12,24,5,9,24,6,
18,6,6,6,6,3,24,3,6,6,12,12,12,12,24,16,12,16,32,8,8,1,4,3,12,1,12,3,3,4,24,9,
3,12,3,12,3,3,12,12,12,24,3,12,3,6,12,6,24,6,48,2,2,6,6,12,12,12,6,6,4,4,16,4,
16,6,5,1,3,6,3,6,6,6,1,12,1,4,3,12,3,12,6,12,12,6,4,8,4,3,4,8,2,2,1,6,3,3,6,4,
1,1,4,1,4,3,1,2,1],[1,6,3,18,5,15,4,4,18,36,3,4,18,12,1,18,15,15,24,9,24,18,
24,2,18,10,30,12,24,20,12,1,12,6,36,9,12,18,12,9,36,1,3,1,3,4,12,12,12,5,9,24,
6,18,30,30,6,6,3,3,6,6,12,12,12,12,24,4,12,24,24,16,12,16,8,40,1,4,3,12,1,3,3,
4,9,3,3,3,3,12,12,12,3,3,6,12,6,6,2,6,2,10,6,6,12,12,12,12,24,12,6,6,12,12,4,
4,4,16,6,16,5,1,3,3,1,3,1,1,4,3,3,12,6,6,6,3,3,4,12,4,8,4,3,4,2,10,1,3,3,2,6,
4,1,1,1,4,4,1,1,2,1],[1,6,3,18,5,15,4,4,18,36,3,4,18,12,1,18,15,15,24,9,24,18,
24,2,18,2,6,12,24,20,12,1,12,6,36,9,12,18,12,9,36,1,3,1,3,4,12,12,12,5,9,24,6,
18,6,6,6,6,3,3,6,6,12,12,12,12,24,24,24,16,12,16,8,8,1,4,3,12,1,3,3,4,9,3,3,3,
3,12,12,12,3,3,6,12,6,6,12,12,2,2,6,6,12,12,12,12,12,6,6,12,12,4,4,4,16,6,16,
5,1,3,3,6,6,1,1,4,3,3,12,6,6,6,6,12,12,12,12,4,8,4,3,4,2,2,1,3,3,6,6,4,1,1,1,
4,4,3,1,2,1],[1,6,3,18,13,39,64,4,18,36,3,12,18,36,1,18,39,39,24,9,72,18,72,
14,126,6,18,84,64,12,1,12,6,36,9,36,18,36,9,36,3,9,3,9,12,36,36,36,13,9,72,42,
126,18,18,6,18,9,9,18,18,36,36,36,36,72,2,6,6,42,18,36,18,84,18,18,36,36,2,18,
6,6,16,16,48,32,96,4,3,12,3,9,3,12,9,9,9,9,9,36,36,36,9,9,18,36,18,18,6,18,36,
36,6,18,36,18,18,14,6,18,18,36,36,6,18,18,42,18,36,18,36,6,18,36,18,18,18,36,
18,18,36,18,36,36,36,36,18,36,18,36,18,18,36,36,36,36,16,16,48,32,96,16,16,48,
48,1,9,9,1,9,6,3,3,12,9,9,36,18,18,36,18,18,36,18,9,9,18,18,36,36,2,6,6,2,18,
36,18,18,36,18,12,18,36,18,6,6,4,8,3,3,9,6,6,18,18,4,4,12,8,4,4,24,12,12,1,
1],[1,6,3,18,13,39,16,4,18,36,3,12,18,36,1,18,39,39,24,9,72,18,72,14,126,6,18,
84,48,16,48,12,1,12,6,36,9,36,18,36,9,36,3,9,3,9,12,36,36,36,13,9,72,42,126,
18,18,6,18,9,9,18,18,36,36,36,36,72,2,6,6,42,18,36,18,84,18,18,36,36,2,18,6,6,
4,16,48,48,8,4,3,12,3,9,3,12,9,9,9,9,9,36,36,36,9,9,18,36,18,18,6,18,36,36,6,
18,36,18,18,14,6,18,18,36,36,6,18,18,42,18,36,18,36,6,18,36,18,18,18,36,18,18,
36,18,36,36,36,36,18,36,18,36,18,18,36,36,36,36,12,4,12,16,24,8,24,8,1,9,9,1,
9,6,3,3,12,9,9,36,18,18,36,18,18,36,18,9,9,18,18,36,36,2,6,6,2,18,36,18,18,36,
18,12,18,36,18,6,6,4,12,12,8,24,24,24,3,3,9,6,6,18,18,4,1,8,8,1,3,1],[1,6,1,6,
13,13,16,4,6,12,3,12,6,12,4,4,13,3,24,24,14,42,6,6,16,16,16,4,1,4,6,12,3,12,6,
12,3,3,3,3,3,12,12,12,12,4,14,6,6,12,6,12,12,2,6,6,14,6,12,6,12,2,6,4,16,16,
16,8,4,1,4,3,3,6,12,3,6,3,12,12,3,3,12,12,6,6,12,6,6,12,2,6,6,2,6,12,6,6,12,6,
4,4,4,16,8,8,8,8,1,3,3,1,3,6,6,6,6,6,6,6,6,4,4,4,8,8,3,1,3,4,1,1,1,1],[1,18,1,
18,25,25,16,6,4,12,18,18,12,12,27,54,54,54,25,27,108,26,78,30,30,16,16,16,16,
16,16,16,12,6,12,18,18,4,12,1,12,4,12,12,12,6,12,12,27,54,54,54,3,12,6,27,27,
3,3,36,36,108,26,30,54,6,36,36,2,18,30,14,18,60,30,36,2,6,4,16,16,16,16,16,16,
16,8,12,6,12,18,6,3,6,18,6,1,12,6,12,3,3,6,6,3,6,6,27,3,36,27,6,3,3,12,3,18,
18,18,18,36,6,6,12,2,18,30,2,18,36,36,18,6,12,6,4,4,4,4,4,4,4,16,8,8,8,8,8,8,
8,8,6,3,6,3,6,3,6,6,6,3,3,1,3,3,3,3,3,6,6,18,18,6,18,18,6,6,6,6,6,4,4,4,4,4,4,
4,8,8,8,8,8,8,8,8,3,3,3,6,6,1,3,3,3,6,6,4,1,8,3,1,1,1,1],[1,6,48,1,6,13,13,16,
12,4,24,6,12,3,24,12,12,6,12,24,24,24,24,24,13,3,24,14,42,6,6,32,16,32,16,16,
24,6,24,12,24,24,12,4,1,24,4,12,12,24,12,3,12,12,6,3,3,3,3,3,12,12,24,12,24,
12,12,12,24,24,14,6,6,6,12,12,2,6,6,14,6,12,6,12,24,2,6,4,16,32,32,16,16,8,12,
12,24,6,12,12,12,6,12,6,24,1,12,3,3,6,6,6,3,3,12,12,3,3,12,6,6,12,6,12,6,12,
12,12,24,24,24,24,2,6,6,12,2,6,12,6,6,12,12,6,8,4,4,8,4,16,8,8,8,8,6,6,6,6,3,
6,6,12,12,3,1,6,3,3,12,12,6,6,6,6,6,6,12,12,12,12,4,8,8,4,4,8,8,16,3,6,6,6,12,
1,3,6,4,1,8,3,1,2,1],[1,6,1,30,13,37,16,4,6,12,12,24,3,12,30,24,12,13,12,12,
27,96,48,84,14,66,6,54,24,16,32,16,16,32,4,24,1,4,24,6,12,3,12,12,6,24,12,24,
36,3,24,12,12,3,3,3,3,12,12,36,12,24,12,36,14,12,6,24,60,30,12,12,6,60,12,24,
24,96,2,6,6,14,30,60,6,24,24,12,24,2,6,4,16,16,16,32,32,8,12,1,12,12,24,3,3,6,
12,6,3,3,12,12,12,6,12,6,12,24,3,3,12,6,6,6,6,12,12,6,6,12,12,24,2,6,6,12,24,
2,12,30,24,12,6,12,36,12,24,24,6,12,6,4,8,4,4,8,16,8,16,8,8,16,8,6,3,6,6,1,3,
6,3,6,3,6,6,6,6,6,12,6,6,6,3,3,6,12,6,6,12,12,12,12,4,4,4,8,8,8,8,8,8,16,8,8,
3,1,3,6,6,6,6,6,6,4,1,8,3,1,2,1],[1,6,1,6,13,13,16,4,6,12,3,12,6,12,24,13,12,
3,24,12,14,42,6,6,16,16,16,4,1,4,6,12,3,12,12,6,3,3,3,3,3,12,12,12,12,12,14,6,
12,6,6,12,12,2,6,6,14,6,12,6,12,2,6,24,4,16,16,16,8,12,1,12,3,3,6,12,6,3,3,12,
12,3,3,12,6,6,12,6,6,12,12,12,2,6,6,12,2,12,6,12,6,6,12,6,12,4,4,4,16,8,8,8,8,
6,3,1,3,6,6,3,3,6,6,6,6,6,6,12,12,12,12,4,4,4,8,8,3,1,3,6,6,4,1,8,3,1,1],[1,
12,2,36,3,6,5,15,4,6,12,6,6,12,12,12,6,4,12,6,12,1,18,4,18,6,12,18,12,12,18,
12,1,6,6,18,15,15,6,3,24,6,24,18,2,18,12,8,8,24,20,12,3,12,6,12,6,12,12,6,12,
12,6,12,6,6,6,6,6,6,24,3,6,12,12,6,12,12,2,12,6,6,6,12,2,3,6,12,3,6,3,9,12,9,
6,9,12,9,6,12,1,6,3,24,6,24,12,6,12,6,6,18,6,12,6,18,12,6,6,24,24,24,5,3,24,6,
6,6,18,6,6,3,6,3,24,4,4,8,16,8,4,12,16,12,8,8,8,1,6,6,12,3,6,3,6,3,6,6,6,6,6,
6,12,6,12,6,6,6,6,6,12,6,6,6,6,3,6,3,6,3,6,6,6,6,6,12,4,6,6,6,6,12,6,6,6,1,6,
6,6,3,6,6,6,12,1,9,4,9,3,6,6,3,3,6,6,6,3,3,6,6,3,3,3,3,12,6,12,12,12,6,12,3,6,
12,12,6,6,6,6,2,6,8,4,8,8,4,8,8,8,8,4,4,4,16,2,2,6,5,6,3,6,6,6,3,6,3,3,3,3,3,
6,6,6,6,6,6,6,3,6,3,3,3,3,3,6,6,2,3,6,3,3,3,6,3,3,3,3,3,3,1,3,12,3,3,6,3,3,3,
3,6,4,4,4,4,4,4,4,4,1,1,2,2,1,3,4,3,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,1,3,3,4,2,2,
2,2,2,1,2,1,2,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,2,3,6,9,27,4,4,6,12,1,4,6,12,1,6,
27,27,3,24,6,24,8,72,6,18,48,8,36,12,2,12,2,12,3,12,6,12,6,12,1,3,2,6,12,12,9,
3,24,24,72,18,18,6,3,3,6,6,6,6,24,1,3,2,21,9,12,6,42,6,6,18,18,16,4,16,32,24,
1,4,6,12,1,6,1,4,6,3,3,6,6,12,3,6,1,1,3,3,6,6,8,6,6,6,6,3,9,6,21,9,12,6,18,3,
6,6,3,3,6,6,3,6,6,6,6,8,4,8,2,4,12,8,9,2,3,6,1,3,1,2,3,3,3,3,3,6,3,3,3,3,1,3,
2,3,6,6,3,4,4,4,4,1,4,8,6,1,3,3,1,1,3,3,4,2,1,2,1,3,2,1,1,1,1,1],[1,2,3,6,5,
15,4,12,6,1,12,6,1,6,15,15,12,3,6,12,2,18,4,12,12,8,20,6,12,12,2,6,3,6,6,6,1,
3,2,6,12,5,3,6,18,12,12,12,6,6,6,6,6,6,2,1,6,6,3,3,3,12,12,12,1,9,12,3,3,8,4,
8,8,16,1,6,6,6,6,6,1,6,6,6,3,3,6,6,1,6,3,6,3,3,6,2,4,6,6,6,6,3,6,6,3,12,6,6,3,
9,12,3,6,6,3,6,3,3,6,6,6,6,6,8,4,8,2,8,4,8,4,5,6,3,6,6,6,6,6,1,2,3,3,3,3,3,6,
2,1,6,1,3,6,6,3,6,6,6,6,4,4,4,2,1,2,2,4,3,3,3,1,3,3,3,4,2,1,2,2,1,2,1,3,1,1,1,
1],[1,2,48,3,6,5,15,4,24,6,1,24,6,24,24,24,24,24,1,6,24,15,15,3,6,2,18,4,12,
12,8,32,20,12,12,12,2,12,3,12,6,12,1,3,2,6,12,24,24,12,24,24,12,24,24,5,3,12,
6,18,12,12,6,6,6,6,6,6,2,1,6,6,3,3,3,12,12,12,1,9,12,3,3,16,4,16,16,8,16,1,12,
6,12,6,6,1,12,6,3,3,6,6,12,1,6,3,6,3,3,6,12,12,12,24,12,12,12,12,12,12,12,12,
12,2,4,6,6,6,12,6,3,6,6,3,12,6,6,3,9,3,6,6,3,6,3,3,6,6,6,6,6,8,4,8,2,16,8,4,8,
4,8,5,6,3,6,6,6,6,6,1,2,3,3,3,3,3,6,12,12,6,6,6,6,6,6,6,6,2,1,6,1,3,6,6,3,6,6,
6,6,4,4,4,4,1,4,8,8,4,2,4,3,3,3,1,3,3,3,6,6,6,6,4,2,1,2,4,2,1,2,1,3,1,1,1,2,2,
1],[1,21,15,45,6,2,1,4,4,2,45,81,18,9,9,27,9,27,54,24,6,6,8,6,18,15,12,7,15,6,
12,36,18,12,36,12,6,6,18,6,2,27,27,27,27,27,27,9,2,1,4,2,4,18,24,36,18,18,6,
18,6,15,9,27,9,9,9,9,36,6,18,18,18,36,6,18,27,3,6,2,8,8,6,6,2,4,1,6,3,2,12,12,
2,6,6,2,6,2,6,12,12,4,18,18,9,9,9,9,9,9,9,1,6,3,6,3,6,8,6,6,12,6,1,12,1,3,1,3,
6,6,6,2,6,6,6,6,12,9,2,2,1,1,2,1,2,3,3,3,3,3,6,1,3,6,2,1,2,1,1,2,1,1,1,1,2,3,
1,1,1,1,1,1,1,1],[1,27,21,27,5,1,10,16,8,63,81,1,9,9,9,27,54,15,18,3,9,21,6,9,
9,30,18,24,9,27,27,9,27,9,27,5,4,16,8,16,9,54,18,9,3,1,9,3,9,1,1,2,2,2,4,21,3,
9,27,9,9,18,18,27,24,5,18,18,3,3,4,48,24,9,9,9,9,3,9,3,9,3,3,3,9,3,6,6,6,9,9,
9,9,4,12,18,3,3,6,3,1,3,3,3,1,2,1,2,2,4,9,9,9,8,4,3,3,1,3,3,3,3,3,1,3,6,1,3,3,
6,6,4,1,3,3,3,1,1,1,1],[1,24,3,3,9,2,4,16,16,2,18,12,18,9,1,9,12,30,12,6,1,6,
3,3,9,12,24,16,24,6,9,12,18,3,9,8,1,16,8,16,18,6,15,6,18,6,3,3,2,3,15,3,9,9,
12,2,6,1,4,4,9,6,6,4,4,20,12,1,8,3,3,24,8,9,3,15,3,18,6,3,3,1,3,3,9,3,6,4,6,4,
6,3,6,3,4,12,3,1,3,3,3,2,4,2,4,9,3,3,4,4,4,3,3,3,3,3,1,1,2,3,1,5,3,6,2,4,1,3,
1,3,1,1,1,1],[1,15,3,45,2,4,16,16,2,9,45,81,1,45,54,8,6,24,6,18,60,48,6,6,18,
27,15,81,8,1,16,8,16,24,6,36,2,24,18,18,18,36,36,18,2,18,1,4,4,9,32,24,2,16,1,
3,3,6,24,8,18,36,6,18,15,12,6,4,24,6,1,6,3,3,1,3,6,6,2,4,2,4,6,9,8,4,8,2,4,3,
6,1,3,6,6,4,1,6,1,2,1,1],[1,18,3,54,3,9,2,4,16,16,2,54,9,54,9,27,1,9,9,27,18,
6,1,6,3,3,36,9,12,24,12,36,24,144,144,6,36,27,9,27,3,27,27,27,8,1,16,8,16,9,
18,18,3,18,18,3,2,3,9,3,9,18,9,18,36,72,2,18,18,1,4,4,27,6,4,4,12,12,24,1,8,3,
6,3,24,48,24,48,9,9,9,3,9,9,1,9,3,18,9,9,9,3,6,18,3,9,6,36,36,4,3,6,6,12,12,3,
24,1,3,3,3,3,2,4,2,4,9,9,9,18,4,4,4,3,3,3,1,1,2,3,3,3,1,3,3,6,6,12,6,12,4,1,3,
3,6,3,1,1,1,1],[1,9,3,27,2,4,16,16,2,9,27,27,1,27,6,6,18,36,6,6,18,27,9,27,8,
1,16,8,16,18,2,18,36,18,2,18,1,4,4,9,24,1,3,3,24,6,9,6,4,1,3,3,1,3,2,4,2,4,9,
4,6,3,1,3,6,4,1,1,1,1],[1,36,9,3,27,2,4,16,16,2,54,18,54,27,1,27,18,36,12,6,6,
18,36,24,48,6,6,18,27,18,54,9,27,8,1,16,8,16,36,18,36,6,18,2,18,18,6,36,18,2,
18,1,4,4,27,12,8,24,24,1,3,3,48,24,18,18,18,6,18,6,18,9,6,6,12,4,6,6,6,24,3,1,
3,6,2,4,2,4,18,9,8,4,3,6,6,6,1,3,2,6,12,6,4,1,3,6,1,2,1],[1,9,36,3,27,2,4,16,
16,2,54,27,18,54,1,27,18,6,6,18,36,24,36,48,6,12,6,18,27,9,27,18,54,8,1,16,8,
16,18,2,18,36,36,18,36,18,6,2,18,18,6,1,4,4,27,24,1,12,3,3,24,24,8,48,6,9,18,
18,18,6,18,6,18,6,12,4,6,3,6,6,1,3,6,2,4,24,2,4,9,18,4,8,6,3,1,3,6,6,6,6,2,12,
4,1,3,6,1,2,1],[1,6,9,54,3,27,2,4,16,16,2,54,3,54,27,27,1,27,3,27,12,12,6,6,
18,36,36,4,36,144,144,6,6,18,36,27,3,27,9,27,27,27,8,1,16,8,16,6,36,36,6,36,
36,18,2,18,6,18,18,36,18,2,18,18,18,6,1,4,4,27,6,24,8,24,1,3,3,6,48,8,24,24,
48,6,18,18,6,18,18,6,18,18,18,9,6,18,18,18,1,9,36,36,4,3,6,6,24,3,1,3,3,3,3,2,
4,24,2,4,18,18,9,4,4,4,3,3,3,6,1,3,3,3,2,6,12,6,2,6,12,4,1,3,6,6,1,1,1,1],[1,
9,3,27,6,18,2,4,16,16,2,27,9,27,1,27,18,18,54,54,6,6,18,36,24,48,6,6,18,6,2,
18,6,9,27,27,6,54,8,1,16,8,16,18,2,18,36,18,6,18,2,18,18,6,18,6,18,18,36,1,4,
4,9,24,1,3,3,2,6,24,8,24,16,6,9,6,18,18,6,2,18,18,6,12,4,3,1,3,1,3,6,6,6,6,2,
4,24,2,4,9,6,4,8,6,1,3,3,2,6,6,6,2,4,4,1,1,6,1,2,1],[1,9,3,27,2,4,16,16,2,27,
54,1,27,54,6,6,18,36,6,6,18,9,27,27,8,1,16,8,16,18,2,18,36,18,2,18,1,4,4,27,
24,1,3,3,24,6,9,6,4,3,6,1,3,6,2,4,2,4,9,4,6,1,3,3,6,4,1,3,1,1],[1,6,18,3,3,9,
2,4,16,16,2,3,18,18,9,1,3,9,9,9,12,12,6,4,12,12,18,24,24,6,6,3,1,9,3,3,9,9,9,
9,3,9,8,1,16,8,16,6,6,18,18,6,6,2,6,12,9,3,2,9,3,9,3,9,3,6,1,4,4,9,6,8,6,3,1,
3,8,12,4,4,12,24,8,6,6,9,9,3,3,9,9,3,3,3,1,9,3,1,3,3,6,6,4,3,6,6,3,1,3,3,3,3,
2,4,12,4,2,4,9,3,3,4,4,4,3,3,3,3,3,1,3,2,3,1,2,3,1,6,2,4,1,3,3,1,1,1,1,1],[1,
72,3,3,9,2,4,16,16,2,36,54,54,1,36,9,9,6,36,48,12,144,18,24,144,24,6,6,36,3,1,
9,3,36,27,54,3,27,8,1,16,8,16,2,18,18,36,9,18,18,72,3,18,18,2,9,3,18,9,3,18,9,
3,1,4,4,27,24,6,3,6,1,3,48,12,4,24,4,12,24,48,8,18,9,9,9,3,9,9,18,3,1,9,9,9,9,
12,3,36,6,36,6,4,3,6,6,1,3,3,3,3,3,2,4,12,12,24,2,4,9,9,9,18,4,4,4,3,3,3,3,1,
3,3,6,12,3,1,6,3,1,6,12,2,4,1,3,3,3,6,1,1,1,1],[1,3,3,9,5,4,40,64,8,1,9,9,1,9,
6,15,3,9,12,24,24,3,3,9,20,4,64,32,64,5,9,9,1,9,6,1,4,8,2,8,16,8,1,10,16,24,
48,1,12,12,3,3,9,3,6,3,6,16,4,4,5,16,1,8,24,4,8,8,16,8,16,1,1,1,2,2,2,4,3,3,4,
4,1,1,2,1,2,2,4,1],[1,6,9,8,1,16,64,32,2,9,18,6,24,6,48,9,6,9,8,16,64,32,64,8,
2,2,4,16,16,32,9,18,6,24,48,1,24,6,6,12,9,16,8,8,16,2,16,16,32,24,2,1,4,2,4,6,
8,2,1,4,2,4,1],[1,6,5,30,3,15,1,30,3,30,10,15,15,45,15,1,15,3,15,10,1,2,3,5,
10,15,30,15,30,3,15,5,45,5,5,45,15,15,15,6,1,3,3,6,1,10,10,1,1,15,5,15,5,15,5,
10,10,1,15,15,15,5,15,15,15,3,6,6,2,3,3,9,1,3,3,3,3,2,1,5,5,10,10,5,5,5,5,15,
15,5,5,2,3,1,2,3,15,3,3,3,6,6,1,1,1,9,3,9,3,3,5,5,5,5,5,5,5,1,2,2,1,1,3,1,3,1,
3,1,2,2,3,3,3,1,3,3,3,5,1,1,1,2,2,1,1,1,1,3,3,1,1,3,1,1,1,1,1,1,1,1],[1,6,5,
30,3,15,4,30,3,30,30,5,15,15,15,1,15,3,15,30,1,20,4,20,30,15,30,3,15,15,15,5,
15,15,15,15,15,6,1,3,3,6,20,20,20,1,4,15,15,15,15,15,5,15,3,6,6,6,3,1,3,1,3,3,
3,3,6,20,5,1,5,4,4,4,15,3,3,3,6,6,3,1,3,3,3,3,3,3,5,5,5,4,4,4,1,3,3,3,3,3,1,3,
5,4,1,1,1,3,1,1,1,1],[1,22,25,30,1,25,10,50,90,11,50,90,5,30,15,15,30,25,15,
45,15,15,30,6,40,20,20,10,20,10,20,10,30,30,30,25,30,90,30,10,30,45,30,30,15,
5,15,30,15,30,15,15,15,15,15,12,6,6,6,12,20,40,20,40,40,20,40,10,20,20,20,10,
20,10,10,10,5,30,15,30,15,30,15,30,5,15,15,15,6,12,12,12,6,6,6,6,10,20,20,20,
40,20,10,10,10,10,5,5,5,15,6,12,12,6,6,10,10,5,10,5,5,1,6,5,2,2,1,1,1,2,1,2,1,
1,1],[1,2,15,30,3,45,10,30,1,30,5,30,45,45,15,30,1,45,1,15,30,6,20,10,30,30,
20,10,15,30,1,15,15,15,15,45,15,15,15,15,30,12,6,18,18,12,10,20,20,30,10,30,
10,10,10,5,5,15,15,5,5,15,15,6,12,12,18,6,18,6,6,6,10,10,10,10,10,10,10,10,15,
5,6,6,6,6,6,6,6,10,5,5,5,1,6,5,2,3,1,1,1,1],[1,2,15,30,1,35,10,30,1,30,5,30,
15,15,30,30,15,30,10,10,30,30,6,20,10,10,30,20,20,10,15,30,10,5,30,15,15,15,
15,15,30,30,60,12,6,6,6,12,10,20,20,10,20,10,10,10,10,10,20,5,5,15,15,15,15,
15,15,6,12,12,6,12,6,12,10,10,10,10,10,10,10,10,5,10,15,6,6,6,10,5,5,5,1,6,5,
2,1,2,1,1,1,1],[1,20,15,3,45,10,30,10,30,5,30,45,45,1,45,10,30,30,6,20,20,10,
30,30,30,15,30,10,30,60,15,15,15,45,15,15,6,18,18,20,10,20,10,30,10,30,10,10,
5,15,15,15,5,15,15,15,12,18,6,18,12,10,10,10,10,10,10,10,10,15,15,6,6,6,10,5,
5,5,1,6,5,2,3,1,1,1,1],[1,20,15,1,35,10,30,10,30,5,30,15,15,30,30,10,1,15,30,
6,20,20,10,10,30,20,30,15,30,10,30,5,30,15,15,15,15,15,30,6,6,6,20,10,20,10,
10,20,10,10,10,10,20,5,15,15,15,15,5,15,15,12,6,12,6,6,10,10,10,10,10,10,10,
10,5,10,15,6,6,6,10,5,5,5,1,6,5,2,1,2,1,1,1,1],[1,25,3,75,10,5,15,15,75,45,
135,45,1,75,30,90,6,20,30,60,10,30,15,15,45,45,45,45,45,25,45,135,45,90,6,18,
18,60,10,60,10,60,30,30,30,60,5,45,5,45,15,45,15,45,18,6,18,6,18,20,30,60,10,
30,5,15,15,15,6,18,18,10,15,5,15,1,6,5,1,3,3,3,1,3,1],[1,25,1,25,10,5,15,15,
25,15,45,15,11,15,30,6,20,10,20,10,10,15,5,15,15,15,15,15,15,15,25,45,6,6,6,
20,10,20,20,10,10,10,10,5,15,15,5,15,15,15,15,6,6,6,6,6,12,20,10,20,10,10,5,5,
5,15,6,6,6,10,5,5,5,1,6,5,1,1,1,1,1,1,1],[1,15,20,3,45,10,30,5,30,45,45,10,30,
1,45,10,30,30,6,20,10,20,30,30,30,15,30,15,15,15,15,45,15,10,30,60,6,18,18,5,
20,10,20,30,10,10,30,10,10,15,15,15,5,15,15,15,12,18,6,18,12,10,15,10,10,10,
10,10,10,10,15,6,6,6,5,5,5,10,1,6,5,2,3,1,1,1,1],[1,2,15,50,1,15,10,10,10,30,
1,30,20,20,30,5,15,30,15,15,15,30,15,15,25,30,60,30,60,10,30,6,20,20,10,20,10,
10,20,10,10,10,10,30,15,30,10,30,30,30,10,60,30,15,30,30,30,5,15,15,15,30,15,
15,30,15,15,15,30,12,6,6,6,12,10,20,20,20,20,20,20,5,20,10,20,20,20,10,10,10,
10,20,20,10,10,10,10,10,15,30,30,5,15,30,30,15,15,15,15,6,12,12,12,6,6,6,6,10,
10,10,10,20,20,20,20,10,5,5,5,10,10,10,10,15,6,12,12,6,6,5,10,10,10,5,5,1,6,5,
2,1,2,1,1,1,2,2,1,1,1],[1,15,20,1,15,20,10,30,5,30,15,15,30,30,10,30,1,15,10,
30,6,20,10,20,10,10,20,20,30,15,30,5,30,15,15,15,15,15,30,30,10,6,6,6,5,20,10,
20,10,20,10,10,10,10,10,20,15,15,15,15,5,15,15,12,6,12,6,6,10,5,10,10,10,10,
10,10,10,10,15,6,6,6,5,5,5,10,1,6,5,2,1,2,1,1,1,1],[1,2,15,30,3,45,10,30,1,30,
5,45,45,30,15,30,1,45,1,15,30,6,20,10,30,30,20,15,10,30,1,15,15,15,45,15,15,
15,15,15,30,12,6,18,18,12,10,20,20,5,30,10,30,10,10,10,15,5,15,5,5,15,15,6,12,
12,18,6,18,6,6,6,10,10,10,10,15,10,10,10,10,5,6,6,6,6,6,6,6,5,10,5,5,1,6,5,3,
2,1,1,1,1],[1,15,3,45,10,30,10,5,15,45,45,45,15,45,1,45,30,30,30,90,90,6,10,
30,30,10,10,30,30,15,15,45,45,45,15,45,45,45,45,45,90,10,90,6,18,18,5,30,10,
30,10,30,30,30,30,30,30,30,60,5,45,45,15,45,15,45,18,6,18,6,18,15,5,15,10,30,
30,10,10,30,30,15,6,18,18,5,15,15,10,1,6,5,3,1,3,1,3,3,1],[1,2,15,30,1,15,20,
10,30,1,30,5,15,15,30,30,30,15,30,10,10,30,30,6,20,10,10,10,20,20,20,15,10,30,
10,5,30,15,15,15,15,15,30,30,60,12,6,6,6,12,10,20,20,5,10,20,10,10,10,10,10,
20,15,5,15,15,15,15,15,6,12,12,6,12,6,12,10,10,10,10,5,10,10,10,10,10,15,6,6,
6,5,10,5,5,1,6,5,1,2,2,1,1,1,1],[1,15,1,15,10,10,10,5,15,15,15,15,15,15,1,25,
10,30,30,6,10,10,10,10,10,10,10,5,15,15,15,15,15,15,15,15,15,15,10,30,6,6,6,5,
10,10,10,10,10,10,10,10,10,10,10,15,15,5,15,15,15,15,6,6,6,6,6,12,5,5,5,10,10,
10,10,10,10,10,15,6,6,6,5,5,5,10,1,6,5,1,1,1,1,1,1,1],[1,7,1,56,28,7,7,56,28,
8,1,28,7,7,14,28,8,16,8,1,7,14,7,1,8,7,1,1,1,1,1],[1,42,3,4,56,7,21,1,21,28,
42,21,1,21,28,21,7,21,1,14,3,6,28,4,8,1,21,7,1,3,3,7,4,3,6,3,4,7,1,2,1,3,3,4,
1,3,1,1],[1,21,1,56,28,14,21,21,28,8,21,28,14,21,14,28,28,8,16,8,21,14,14,8,
14,1,1],[1,21,1,56,28,7,7,21,21,28,8,21,28,7,7,14,7,21,14,7,28,8,16,8,21,7,7,
7,7,8,7,7,1,1],[1,8,10,24,3,30,17,51,12,40,4,12,40,24,24,2,4,4,4,24,30,18,36,
12,11,20,26,28,66,78,12,24,24,20,24,1,30,4,12,51,51,12,4,24,33,156,66,156,28,
18,162,14,42,108,4,8,8,6,4,24,8,20,28,20,28,8,8,20,24,8,8,24,8,20,24,24,8,4,
12,20,12,12,8,20,56,48,4,6,12,6,12,18,8,2,8,12,12,12,12,12,12,1,8,4,12,12,12,
12,8,2,12,12,12,12,8,12,8,10,18,2,36,12,12,6,20,33,10,78,14,66,10,78,14,24,54,
12,54,108,9,12,36,24,6,12,11,20,33,3,9,20,60,40,12,40,132,20,36,132,20,12,12,
20,24,12,20,24,12,16,12,16,8,8,24,24,40,40,17,33,156,12,12,54,162,42,42,108,
12,6,66,33,20,33,18,18,60,60,60,60,264,2,10,14,42,30,84,42,84,42,42,60,60,8,2,
18,8,6,6,8,2,8,12,12,4,8,2,8,8,8,4,8,4,8,8,6,2,12,4,10,14,10,14,12,12,6,8,4,4,
20,4,12,20,4,12,12,40,4,8,4,8,4,8,8,8,20,12,12,4,4,12,4,20,12,12,4,8,12,8,8,8,
24,40,12,20,24,24,20,20,24,12,2,12,2,2,12,4,18,6,18,6,6,12,1,12,2,4,18,6,12,
12,4,4,4,8,2,2,4,4,6,6,6,6,4,12,4,2,12,12,2,4,24,4,12,4,4,3,4,12,12,12,4,4,6,
12,24,3,6,9,4,12,4,4,4,6,12,12,4,4,6,24,4,1,6,6,12,12,4,4,6,4,4,12,12,2,2,12,
4,24,24,11,10,26,14,54,6,54,6,6,6,6,6,9,12,12,4,6,4,12,6,4,10,10,14,14,33,10,
33,10,9,9,60,60,20,12,20,132,20,20,20,12,12,27,6,54,12,12,108,12,9,6,9,18,36,
18,12,18,8,24,3,6,8,8,10,6,30,18,60,60,6,4,18,36,18,18,4,12,24,12,4,8,8,4,24,
12,12,8,8,8,8,8,8,8,8,18,14,66,18,60,60,4,6,30,42,42,30,84,42,60,4,4,6,18,36,
4,36,18,18,30,36,60,30,30,36,60,30,60,60,60,60,18,36,4,18,36,18,18,4,36,36,36,
36,4,4,8,2,4,6,6,4,4,4,12,4,4,4,1,4,4,4,4,8,6,6,4,4,2,4,4,4,4,4,4,4,10,14,6,6,
6,4,2,2,10,2,6,10,2,6,6,20,4,12,4,4,6,6,12,12,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,
12,4,4,4,4,4,12,4,4,4,4,24,4,4,6,12,4,1,4,6,6,6,6,6,6,4,2,3,6,6,2,18,6,6,2,12,
3,4,6,12,8,2,6,4,4,2,4,4,2,2,4,6,6,6,6,2,4,2,6,2,1,6,6,2,2,12,2,4,2,4,4,4,4,1,
4,4,6,4,12,2,4,4,1,4,4,9,3,9,3,3,6,1,6,1,2,9,3,6,6,2,4,2,4,6,4,2,4,2,2,3,6,6,
2,2,3,12,2,6,6,6,2,2,1,6,6,2,2,4,4,4,4,11,10,3,20,20,27,6,6,6,12,6,2,1,12,9,6,
9,36,2,1,3,10,10,6,6,20,30,18,30,18,60,18,2,18,2,36,6,6,8,18,18,18,18,18,6,9,
6,3,9,3,2,12,12,18,2,18,6,36,36,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,2,10,14,4,2,
30,36,60,30,18,36,4,18,4,4,4,4,12,36,4,4,4,4,12,18,36,18,6,4,4,6,4,2,4,2,4,6,
2,2,2,6,2,2,4,1,4,2,4,3,3,2,2,2,6,2,2,2,2,2,2,2,2,2,10,2,6,2,6,2,2,2,6,2,6,2,
2,2,2,6,2,6,2,12,4,4,4,4,2,2,3,2,6,2,1,2,3,1,6,2,2,2,6,2,2,3,2,6,2,2,2,2,6,6,
6,3,2,3,2,2,1,2,2,2,2,2,2,4,6,2,1,6,2,2,2,2,1,2,2,2,2,2,2,2,2,4,3,3,3,2,1,3,3,
3,3,3,1,9,3,3,1,6,3,2,3,6,4,2,1,2,3,2,2,2,6,6,6,3,2,3,1,2,1,2,2,10,6,6,2,18,
18,2,2,18,6,18,2,2,2,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,2,1,2,2,2,2,2,2,2,2,2,3,1,
1,1,3,1,2,2,2,2,2,2,2,2,1,2,1,2,3,1,3,1,2,6,1,1,1,1,1,1,2,2,1,3,1,1,3,1,3,1,1,
1,1,1,1,3,1,1,2,6,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,15,11,1,22,40,20,5,
6,10,15,15,30,11,10,40,20,40,6,5,5,5,10,10,10,20,6,6,12,10,15,10,20,10,6,6,12,
5,5,10,5,10,10,20,6,10,1,6,5,1,1,2,1],[1,14,15,30,3,45,6,18,2,2,30,54,7,30,54,
12,12,9,9,18,45,81,27,9,18,27,15,18,36,36,1,45,7,15,18,18,54,54,54,18,16,4,4,
8,6,24,6,12,18,12,6,4,6,18,12,6,2,18,6,18,18,15,54,18,18,18,27,18,18,18,18,7,
30,27,6,6,36,36,27,18,9,27,27,27,9,18,15,81,9,27,15,27,27,9,27,9,27,54,15,27,
18,18,36,6,36,6,54,6,18,1,12,16,8,16,24,12,24,2,12,12,12,12,4,4,2,12,12,24,6,
36,2,24,8,2,18,6,18,6,18,36,12,6,12,12,12,18,6,18,2,12,12,2,18,6,2,6,18,6,6,
18,6,2,18,18,36,9,18,18,9,18,15,27,9,9,9,18,27,27,9,9,9,9,6,18,9,9,9,27,27,9,
9,9,27,9,9,9,9,9,9,9,27,9,9,9,9,9,18,18,2,4,2,1,4,3,3,2,2,6,6,6,12,12,8,24,8,
8,12,12,12,2,6,6,6,6,2,2,12,12,12,12,2,8,6,6,8,8,18,36,12,6,6,18,12,6,6,6,6,6,
6,6,6,6,6,6,18,6,18,2,6,6,6,2,6,6,2,6,18,18,6,6,6,6,6,2,9,9,9,9,9,9,9,9,9,9,9,
9,9,9,9,4,1,4,2,2,4,4,2,2,2,4,4,6,1,6,1,2,3,3,1,2,3,3,2,2,4,4,1,3,2,2,1,6,6,1,
6,1,6,6,6,2,6,6,6,8,12,12,12,6,6,2,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,9,2,2,4,1,
2,1,1,2,2,2,2,2,2,2,4,2,1,2,2,2,2,2,2,2,2,4,2,2,3,6,2,1,2,3,3,3,1,2,1,1,1,3,3,
1,3,1,3,1,3,6,2,2,2,2,2,4,1,2,1,6,2,2,2,2,6,6,2,1,2,2,2,1,2,1,1,1,1,1,2,2,2,1,
1,1,1,1,1,2,2,1,1,3,1,1,3,1,1,3,1,1,1,1,1,1,1,1,1,1,1,3,1,2,2,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1],[1,18,21,18,3,63,5,8,42,54,9,42,54,1,6,9,9,18,63,9,81,27,9,
18,1,63,9,9,6,6,54,36,10,18,15,54,3,6,9,24,24,72,6,18,18,21,6,54,18,6,18,27,
18,18,9,42,27,12,9,3,27,18,3,18,27,27,27,27,9,21,9,3,81,9,27,21,27,54,9,27,18,
36,4,6,36,18,36,12,6,12,5,6,6,54,3,18,5,54,18,5,9,3,9,3,9,18,1,6,9,9,3,6,6,6,
6,1,2,72,8,72,18,3,18,9,18,9,18,21,3,27,9,3,9,27,27,9,9,27,1,3,27,3,9,3,3,9,9,
9,27,9,9,9,27,9,9,9,9,9,9,16,4,12,12,6,3,6,6,6,6,6,18,12,18,18,6,6,6,12,6,5,
18,3,3,2,6,6,6,18,18,9,18,6,3,6,9,3,3,9,6,3,3,3,3,3,9,9,3,9,3,3,6,9,6,9,18,12,
2,3,3,9,6,6,18,24,9,3,9,9,9,9,9,3,9,9,9,9,9,9,9,8,8,8,12,4,12,8,1,3,6,6,3,3,3,
3,3,3,6,6,18,6,6,6,6,3,6,3,3,1,3,3,3,3,3,9,3,9,3,1,3,3,3,9,3,9,3,3,3,3,3,1,3,
3,3,1,9,1,1,9,3,2,18,18,9,4,8,8,2,4,4,3,1,2,3,3,3,3,3,3,3,3,3,3,3,1,3,3,3,3,3,
3,3,1,3,3,3,6,4,1,2,2,1,1,3,1,3,1,3,3,1,1,1,1,1,1,1,1],[1,30,9,54,3,27,1,4,8,
42,90,15,42,90,1,6,3,3,54,27,9,27,9,27,54,1,27,15,27,6,6,18,12,6,2,3,6,3,18,9,
36,24,20,36,24,72,6,18,18,21,6,54,18,18,18,45,54,18,15,42,45,12,3,3,9,18,3,18,
9,9,9,9,27,9,9,3,27,27,9,21,45,18,27,45,54,36,4,6,12,6,12,12,6,12,3,18,18,6,1,
6,1,6,6,3,9,9,9,9,3,6,1,18,9,3,1,6,18,6,6,4,8,28,4,12,60,12,36,72,72,1,2,18,3,
18,9,18,9,18,21,3,27,9,9,9,45,27,27,9,9,1,3,9,9,9,3,3,9,9,3,9,9,9,3,9,9,9,27,
27,9,9,4,8,8,12,12,6,3,6,6,6,6,6,6,12,6,6,6,6,6,12,3,6,9,9,6,18,6,6,2,6,3,6,6,
1,6,3,3,9,3,6,3,9,9,3,9,3,9,9,3,3,3,18,3,6,3,6,12,4,12,12,24,12,12,12,12,9,6,
5,9,6,18,9,3,9,9,9,9,9,9,9,9,9,3,9,9,9,8,12,4,8,4,4,12,4,4,1,3,6,6,3,3,3,3,3,
3,6,6,6,6,6,6,9,3,3,3,9,3,1,3,3,3,3,3,1,9,1,3,3,3,3,3,3,3,3,3,3,9,3,3,12,1,2,
3,3,7,1,15,9,18,18,9,4,4,4,4,4,4,4,2,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,1,3,3,3,3,
1,3,6,3,3,3,3,4,2,1,2,3,1,1,3,1,1,3,3,1,1,1,1,1,1,1,1],[1,12,6,36,1,6,9,9,8,
32,6,36,6,6,36,36,36,2,6,36,6,6,9,18,18,18,18,18,18,36,36,18,36,9,9,36,6,18,
48,8,8,24,24,24,32,6,3,6,18,18,18,18,12,18,36,36,18,36,18,18,72,2,6,18,6,3,18,
18,18,18,18,18,18,9,9,18,9,18,18,18,9,18,9,36,18,36,36,18,18,18,6,18,16,24,24,
24,4,24,24,24,12,8,24,24,24,24,2,16,24,3,18,18,9,9,18,18,6,18,18,18,36,6,6,18,
18,6,9,1,18,6,6,18,9,9,18,18,18,36,9,18,9,9,18,9,18,32,16,24,12,24,12,12,8,24,
8,12,12,2,2,6,6,6,16,24,9,6,18,3,9,6,18,1,9,3,9,16,8,12,6,6,6,4,1,6,6,6,3,2,6,
6,6,6,2,3,8,8,8,6,3,6,3,2,6,2,3,3,2,4,4,1,3,1,2,1,1],[1,12,42,36,9,8,32,42,
108,36,2,6,36,36,36,27,54,18,18,36,6,18,48,8,48,24,24,96,6,36,36,54,18,12,36,
36,36,36,36,6,18,36,18,18,9,36,36,36,18,18,9,18,9,36,36,36,16,24,48,48,24,24,
8,24,24,24,2,16,24,36,18,9,36,18,6,18,18,18,36,36,18,1,18,18,6,18,18,18,9,9,9,
18,9,9,32,16,24,24,24,12,8,24,24,24,2,12,6,6,48,24,18,6,18,9,18,18,9,18,9,16,
8,24,6,12,12,6,6,2,6,6,6,2,9,8,8,8,6,6,6,2,6,6,6,6,8,1,6,2,1,1],[1,12,6,36,36,
9,8,32,6,36,36,72,36,2,6,36,36,36,9,18,18,18,36,36,18,6,18,48,8,48,24,24,96,6,
36,36,18,18,12,36,36,36,36,36,36,6,18,36,18,18,18,36,36,9,36,18,9,18,9,36,36,
36,16,24,48,48,24,24,8,24,24,24,2,16,24,36,18,9,36,18,6,18,18,18,36,36,18,1,
18,6,18,18,18,9,18,9,18,9,9,9,32,16,24,24,24,12,8,24,24,24,2,12,6,6,48,24,18,
6,18,9,18,18,9,18,9,16,8,24,6,12,12,6,6,2,6,6,6,2,9,8,8,8,6,6,6,2,6,6,6,6,8,1,
6,2,1,1],[1,24,18,72,9,4,1,8,48,144,72,2,12,12,12,72,15,72,18,36,72,6,6,24,12,
8,12,36,18,24,8,24,9,24,72,12,36,36,72,36,24,36,36,72,36,12,6,36,36,36,36,3,
36,12,36,6,36,9,36,3,12,72,36,4,12,24,24,36,4,4,36,4,12,1,2,2,8,16,4,12,48,12,
24,15,24,18,12,72,72,24,24,6,6,36,36,9,36,18,12,36,18,18,36,36,6,1,36,6,12,18,
36,18,9,3,9,18,3,9,4,8,8,12,12,12,12,12,6,12,12,4,12,3,2,3,9,4,12,8,6,12,6,6,
18,24,12,12,24,12,12,12,12,12,3,12,12,12,24,12,12,6,12,9,12,3,12,24,12,18,12,
18,9,18,18,3,18,9,8,12,4,8,4,4,12,4,4,1,12,3,6,6,9,1,1,9,1,3,12,12,6,12,4,1,
12,6,4,18,2,18,3,12,6,12,6,6,6,12,12,6,3,3,3,6,3,3,9,4,4,4,4,4,4,4,1,2,2,3,3,
3,3,3,3,3,1,3,6,4,6,3,6,6,6,3,6,3,4,2,3,1,2,1,1,3,1,1,3,3,1,1,1,1,1,1,1,1],[1,
42,9,18,3,27,4,4,32,54,54,21,54,54,1,18,3,3,18,27,9,27,9,9,18,1,27,21,9,6,18,
18,24,24,4,12,12,36,28,12,96,18,18,18,27,18,54,18,6,18,27,18,18,21,54,27,36,3,
3,9,18,9,18,9,9,9,9,9,9,9,9,27,9,9,27,27,18,9,27,18,36,16,24,12,24,12,12,4,12,
12,12,1,4,8,36,12,12,36,12,12,1,8,24,18,9,18,9,18,9,18,27,9,27,9,3,9,27,27,9,
9,9,1,9,9,3,9,9,9,9,9,3,9,9,9,3,9,9,9,9,9,9,9,16,16,16,12,12,12,6,12,12,4,12,
6,1,3,3,12,12,4,24,12,12,12,12,9,7,3,24,24,9,9,9,9,9,9,9,3,9,9,9,3,9,9,9,16,4,
4,12,6,3,6,3,3,1,3,3,3,12,1,2,3,3,9,3,9,3,9,4,4,4,4,4,4,3,3,3,3,3,1,3,3,3,1,6,
3,3,3,3,4,4,1,3,3,1,1,1,1],[1,16,3,48,3,9,4,4,32,1,12,6,48,9,108,18,9,3,54,9,
1,48,9,9,6,72,27,18,54,18,8,12,24,4,12,64,32,12,6,3,18,1,3,36,18,3,6,36,18,18,
18,3,18,18,16,9,108,18,27,9,54,9,36,9,9,18,27,18,108,36,9,18,6,3,27,18,18,18,
16,24,4,24,4,24,12,12,12,24,1,4,8,48,24,36,12,1,8,24,18,3,18,1,18,3,3,9,18,12,
18,9,18,36,18,9,18,36,6,18,9,18,18,9,36,9,3,9,9,27,18,9,18,18,32,16,8,12,24,4,
12,2,3,6,1,3,24,4,8,12,24,12,16,8,24,3,6,9,18,1,9,3,6,9,18,3,9,16,4,4,4,6,1,6,
1,6,3,3,3,6,12,1,2,12,6,9,3,3,8,4,8,4,2,3,6,1,3,6,1,2,3,6,3,4,4,1,1,3,2,1,1],[
1,6,9,54,3,27,4,4,32,54,3,54,1,3,3,18,27,9,27,9,54,18,27,18,54,1,27,3,27,6,18,
18,24,4,12,12,24,36,4,36,96,6,27,18,18,18,54,18,3,27,3,3,9,18,9,9,18,9,9,18,9,
18,18,9,9,27,9,9,27,27,9,27,9,18,18,27,27,18,54,36,36,16,12,24,24,12,4,12,12,
12,12,1,4,8,12,36,12,12,36,12,1,8,24,3,18,18,27,9,9,9,27,9,18,18,9,1,9,3,9,9,
3,9,9,9,9,3,9,9,9,9,9,9,9,9,27,9,9,9,27,9,9,9,16,16,16,12,12,12,6,4,12,12,12,
1,3,3,6,12,4,12,24,12,12,12,12,9,1,9,24,24,3,9,9,9,9,9,9,3,9,9,9,9,9,9,9,16,4,
4,12,3,6,6,3,1,3,3,3,3,12,1,2,3,3,9,3,9,3,9,4,4,4,4,4,4,3,3,3,1,3,3,3,3,1,3,6,
3,3,3,3,4,4,1,3,3,1,1,1,1],[1,36,4,36,3,12,3,9,4,4,32,18,36,18,18,36,36,36,1,
18,12,9,3,18,3,18,18,9,18,18,1,12,18,18,9,9,6,18,9,18,18,18,18,24,12,4,24,12,
16,32,24,24,12,96,96,18,9,18,18,18,18,18,18,18,18,18,18,18,18,36,18,36,3,1,18,
3,9,18,18,18,18,4,9,9,9,18,9,9,9,9,18,9,9,9,9,18,9,18,6,18,18,18,18,18,36,36,
3,9,18,18,18,18,16,12,24,24,4,12,12,12,12,12,1,4,8,12,12,24,12,12,12,12,96,24,
1,8,24,9,18,18,9,9,9,9,9,9,18,18,18,18,36,18,18,36,1,9,3,9,3,9,9,9,9,9,9,9,3,
9,3,9,9,9,9,9,9,9,9,9,9,9,9,9,16,16,16,12,12,12,4,12,12,12,6,3,1,6,3,12,4,12,
24,8,24,12,12,12,12,4,8,24,6,6,3,24,24,24,24,9,9,9,9,9,9,9,1,9,9,9,9,9,9,9,16,
4,4,12,3,6,6,1,3,3,3,3,3,12,24,1,2,3,3,6,3,3,3,3,24,24,6,9,4,4,4,4,4,4,3,3,3,
1,3,3,3,3,1,3,6,2,6,3,3,3,3,4,4,1,3,3,6,1,1,1,1],[1,12,4,36,3,12,3,9,4,4,32,6,
36,6,6,36,36,36,1,36,12,9,3,18,3,18,9,18,36,36,18,36,1,12,6,18,9,9,6,9,18,18,
18,48,12,4,12,16,32,8,24,12,3,18,18,12,18,36,36,18,36,6,6,18,18,18,18,72,3,1,
3,18,18,18,4,9,18,3,18,9,9,9,18,9,9,9,9,18,18,6,18,18,36,18,18,36,18,18,3,9,
18,18,18,18,16,24,24,24,4,24,12,12,1,4,8,4,24,24,12,12,12,24,24,1,8,24,3,9,9,
6,18,6,6,18,18,18,18,18,18,18,18,36,1,6,3,3,18,18,9,18,18,3,9,3,9,9,9,18,9,9,
18,18,36,18,32,16,12,24,24,12,4,12,3,1,3,8,4,8,12,24,12,4,8,24,2,6,3,9,3,9,6,
6,18,18,1,3,9,9,16,4,4,12,6,6,6,1,6,3,3,4,1,2,1,6,6,3,3,3,6,6,3,8,4,8,4,3,6,6,
1,3,2,1,2,3,6,3,4,4,1,3,1,2,1,1],[1,6,3,18,9,27,4,4,32,2,18,18,9,18,54,54,1,
18,27,27,12,27,108,54,108,6,54,36,12,12,36,24,96,36,6,6,18,6,18,27,54,54,54,
54,54,108,9,27,108,36,108,9,27,108,18,54,108,54,27,27,216,16,4,36,36,4,36,24,
1,8,8,32,36,72,24,1,8,24,2,18,18,1,18,12,9,18,54,54,27,27,108,27,54,108,6,54,
36,48,12,12,36,3,3,9,24,24,36,6,24,72,9,6,3,18,9,27,16,4,4,4,1,9,9,1,9,6,4,8,
2,2,8,24,9,18,6,1,12,12,3,3,9,6,6,9,4,4,1,1,1,2,3,1],[1,4,72,3,12,3,9,4,4,32,
1,36,12,9,3,36,3,36,18,9,36,36,36,36,36,1,12,36,9,9,6,9,18,18,18,36,12,4,48,
12,16,32,48,12,192,3,1,36,3,18,18,18,4,9,18,9,18,9,18,18,18,9,18,9,36,9,18,18,
36,18,36,18,6,18,36,36,18,36,36,18,72,36,36,3,9,18,18,18,18,16,4,12,24,12,24,
24,24,1,4,8,24,12,24,12,24,96,24,1,8,24,1,3,18,3,18,18,18,18,9,18,18,36,3,18,
3,18,9,18,9,18,9,9,9,18,18,18,18,18,18,18,18,18,36,16,32,4,24,12,12,24,3,1,12,
3,4,24,8,48,12,12,24,4,8,24,12,3,48,48,1,18,9,9,18,9,9,9,18,9,18,16,4,4,12,1,
3,6,3,6,6,6,12,24,1,2,6,3,6,3,6,24,24,6,9,4,8,4,8,1,6,3,3,6,1,6,2,12,3,3,6,4,
4,1,3,3,6,1,2,1],[1,4,3,12,3,9,4,4,32,1,6,12,9,18,3,3,18,9,1,12,9,9,6,9,18,18,
18,6,18,12,4,12,16,32,12,3,1,3,18,3,18,4,9,18,9,9,18,9,9,9,18,9,18,3,9,6,3,9,
18,18,18,18,18,18,16,4,12,12,12,4,1,4,8,24,12,12,24,1,8,24,1,3,3,3,9,6,9,18,9,
3,3,9,9,9,9,9,9,18,6,18,16,4,12,12,3,1,3,4,8,12,12,4,8,24,3,1,9,9,3,9,3,9,16,
4,4,4,1,3,3,1,3,12,1,2,6,3,3,6,3,4,4,1,3,3,1,2,3,3,4,4,1,1,3,1,1],[1,4,3,12,3,
9,4,4,32,1,6,12,9,3,3,18,18,9,1,12,9,9,6,6,9,18,18,18,18,12,4,12,16,32,12,3,1,
3,3,18,18,4,9,3,9,9,9,18,9,9,9,9,18,18,18,6,18,18,3,9,18,18,18,18,16,4,12,12,
24,24,1,4,8,4,12,12,12,1,8,24,1,3,3,6,6,3,9,9,18,3,3,9,9,9,9,9,9,9,18,18,16,4,
12,12,3,1,3,4,8,12,12,4,8,24,3,1,3,3,9,9,9,9,16,4,4,12,1,3,3,6,6,4,1,2,1,3,3,
3,3,4,4,1,3,3,1,2,3,3,4,4,1,3,1,1,1],[1,6,3,18,9,27,8,32,2,18,18,9,18,54,54,1,
18,27,27,12,27,108,54,108,6,54,36,24,24,72,96,6,6,18,6,18,27,54,54,54,54,54,
108,9,27,108,36,108,9,27,108,18,54,108,54,27,27,216,16,8,72,72,8,72,48,2,16,
32,24,2,18,18,1,18,12,9,18,54,54,27,27,108,27,54,108,6,54,36,48,24,24,72,6,6,
18,48,72,6,3,18,9,27,16,8,8,2,18,18,2,18,12,16,2,24,1,24,6,6,18,6,8,1,2,2,3,
1],[1,6,3,18,9,27,4,16,128,2,18,18,9,18,54,54,1,18,27,27,12,27,108,54,108,6,
54,36,12,12,36,48,6,6,18,6,18,27,54,54,54,54,54,108,9,27,108,36,108,9,27,108,
18,54,108,54,27,27,216,64,4,36,36,4,36,24,1,4,16,64,4,32,12,192,96,288,2,18,
18,1,18,12,9,18,54,54,27,27,108,27,54,108,6,54,36,12,12,36,3,3,9,12,12,36,6,3,
18,9,27,16,16,48,16,4,1,9,9,1,9,6,4,1,4,16,8,12,48,24,72,1,3,3,9,3,4,4,4,12,1,
1,2,1],[1,6,1,6,9,9,8,32,2,6,6,9,18,18,18,6,18,9,6,9,36,18,6,18,8,24,24,32,2,
6,6,3,18,3,18,9,18,9,9,18,18,9,9,36,18,18,18,18,6,18,18,18,16,24,4,24,12,8,24,
24,2,16,24,3,6,6,9,1,6,6,9,9,9,18,9,9,9,9,18,9,18,16,12,12,8,12,12,2,6,6,16,
24,9,3,1,9,3,9,9,16,8,12,4,1,6,6,3,2,6,6,2,3,8,3,3,2,3,3,2,4,4,1,1,3,1,1],[1,
42,1,42,9,9,8,32,2,36,36,42,6,108,36,27,18,54,18,9,27,36,6,18,18,18,48,8,48,
24,24,96,32,96,36,2,36,6,6,36,36,9,36,36,36,36,36,18,36,36,27,18,18,18,27,36,
18,9,9,9,9,36,36,36,6,18,18,18,36,36,16,48,24,48,24,24,8,24,24,24,2,16,96,24,
36,18,36,6,18,1,18,6,18,9,36,18,36,9,9,18,18,9,18,18,9,9,36,9,18,9,9,36,9,16,
16,16,24,24,24,8,24,24,24,12,2,12,6,6,16,48,48,24,24,24,18,9,18,1,18,9,18,9,9,
9,9,16,8,24,12,6,12,6,6,2,6,6,6,48,2,24,9,8,8,8,6,6,6,2,6,6,6,2,6,6,8,1,6,6,1,
1,1,1],[1,6,1,78,9,9,8,32,2,6,6,72,72,9,18,18,18,36,9,72,45,36,36,6,18,36,8,
96,24,24,32,192,2,72,6,6,36,36,9,18,72,18,18,18,72,36,72,36,36,9,9,18,36,18,6,
18,18,18,18,72,36,36,16,48,24,48,48,8,24,48,2,16,96,24,36,6,36,36,1,6,36,9,36,
18,9,9,36,36,9,36,18,18,18,18,36,36,16,32,24,8,24,48,48,2,24,6,6,16,96,24,48,
18,1,18,18,36,9,9,18,16,8,24,12,6,12,12,2,6,12,48,2,24,9,8,16,6,2,6,12,12,2,
12,8,1,6,6,1,2,1],[1,6,1,6,21,21,8,32,2,6,6,9,18,18,18,21,9,36,24,72,18,18,8,
24,24,32,48,16,48,16,2,6,6,9,18,18,18,9,9,18,18,36,24,18,18,18,18,3,9,18,21,9,
36,18,18,16,24,8,24,2,16,48,16,24,6,1,6,9,18,9,9,9,9,9,18,3,9,18,9,18,18,9,16,
16,16,8,2,6,6,16,24,12,12,12,12,1,3,3,9,9,9,9,16,8,6,2,6,2,12,12,3,8,2,2,3,1,
3,1,1,3,1,1,1,1,1],[1,6,1,6,9,33,8,32,2,6,6,9,18,18,18,9,12,9,36,6,54,36,36,8,
24,24,32,96,32,2,6,6,9,18,18,18,9,9,36,36,6,18,18,18,18,18,6,18,36,18,18,18,
18,16,24,8,24,2,16,48,16,24,6,1,6,9,18,9,18,18,18,3,9,18,9,18,18,9,16,32,8,2,
6,6,16,24,24,24,1,6,9,9,9,9,16,8,6,2,6,2,12,12,3,8,2,2,6,2,1,3,1,1,2,1],[1,42,
33,8,32,2,36,36,27,90,42,54,48,24,96,96,32,36,6,9,36,18,27,27,108,6,54,54,18,
16,24,8,24,2,16,96,24,18,1,18,27,9,54,18,54,16,32,24,12,6,48,24,24,24,9,6,9,9,
18,16,8,6,2,6,2,24,9,8,6,6,6,2,1,6,1,2,1],[1,42,9,8,32,2,36,36,27,18,72,6,18,
48,24,96,36,6,9,36,18,9,36,9,36,36,16,24,8,24,2,16,24,18,1,18,9,18,9,18,16,24,
12,6,48,24,9,9,9,16,8,6,2,6,2,9,8,6,6,1,1,1],[1,42,9,24,8,32,2,36,36,27,18,72,
6,36,18,36,48,24,96,96,32,36,6,9,36,18,9,18,9,18,36,72,6,18,36,18,36,18,16,24,
8,24,2,16,96,24,18,1,18,9,18,9,18,18,36,18,36,16,32,24,12,6,48,24,24,24,9,6,9,
9,18,16,8,6,2,6,2,24,9,8,6,6,6,2,1,6,1,2,1],[1,6,36,21,12,8,32,2,36,36,9,18,
18,72,24,18,18,36,48,24,96,48,16,48,16,36,6,9,36,18,9,9,18,18,18,18,54,18,3,9,
18,3,27,36,18,18,16,24,8,24,2,16,48,48,24,18,1,18,9,18,9,9,9,9,9,18,18,18,18,
18,16,16,16,24,12,6,48,24,12,12,12,12,9,3,3,9,9,9,9,16,8,6,2,6,2,12,12,9,8,6,
6,3,1,3,1,1,3,3,1,1,1,1],[1,6,36,9,24,8,32,2,36,36,9,18,18,72,6,36,54,48,24,
96,96,32,36,6,9,36,18,9,9,36,18,18,36,36,6,18,36,18,36,18,16,24,8,24,2,16,96,
24,18,1,18,9,18,9,18,18,18,36,36,16,32,24,12,6,48,24,24,24,9,6,9,9,18,16,8,6,
2,6,2,24,9,8,6,6,6,2,1,6,1,2,1],[1,6,36,9,8,32,2,36,36,9,18,18,72,6,18,48,24,
96,36,6,9,36,18,9,9,36,36,36,16,24,8,24,2,16,24,18,1,18,9,18,9,18,16,24,12,6,
48,24,9,9,9,16,8,6,2,6,2,9,8,6,6,1,1,1],[1,6,36,9,24,8,32,2,36,36,9,18,18,72,
6,36,54,48,24,96,96,32,36,6,9,36,18,9,9,36,18,18,36,36,6,18,36,18,36,18,16,24,
8,24,2,16,96,24,18,1,18,9,18,9,18,18,18,36,36,16,32,24,12,6,48,24,24,24,9,6,9,
9,18,16,8,6,2,6,2,24,9,8,6,6,6,2,1,6,1,2,1],[1,18,25,1,32,16,2,12,12,15,42,30,
30,18,25,32,16,16,16,12,6,3,12,6,15,9,48,4,24,30,6,16,2,8,16,12,12,15,42,30,
30,16,12,24,6,1,6,9,3,24,12,18,16,16,16,12,6,8,3,12,6,15,9,48,4,24,30,6,4,4,
12,8,3,4,3,3,6,8,16,12,6,1,6,1,2,9,3,24,12,18,4,3,8,4,4,12,3,4,1,1,1,2,3,3,6,
1,4,3,1,1,1,1,1],[1,6,3,18,9,27,4,128,16,2,18,18,9,18,54,54,1,18,27,27,12,27,
108,54,108,6,54,36,24,36,48,6,6,18,6,18,27,54,54,54,54,54,108,9,27,108,36,108,
9,27,108,18,54,108,54,27,27,216,64,8,8,64,36,72,24,16,1,32,192,12,96,288,2,18,
18,1,18,12,9,18,54,54,27,27,108,27,54,108,6,54,36,24,24,36,6,9,36,6,3,18,9,27,
32,48,16,4,2,8,16,1,8,48,9,18,6,12,24,72,1,6,3,9,4,8,12,1,1,2,1],[1,6,3,18,9,
27,32,64,16,2,18,18,9,18,54,54,1,18,27,27,12,27,108,54,108,6,54,36,96,48,6,6,
18,6,18,27,54,54,54,54,54,108,9,27,108,36,108,9,27,108,18,54,108,54,27,27,216,
64,8,8,32,32,16,8,16,24,96,12,48,144,2,18,18,1,18,12,9,18,54,54,27,27,108,27,
54,108,6,54,36,24,24,24,72,36,6,3,18,9,27,32,16,8,2,8,8,8,1,4,24,24,12,12,36,
1,6,3,4,8,2,1,1,1],[1,12,6,12,13,1,32,16,18,36,12,4,3,18,12,36,14,6,48,6,4,4,
13,48,32,16,12,18,36,12,1,3,18,3,12,36,2,6,6,2,16,48,6,4,12,3,6,12,12,8,4,4,
14,6,8,16,3,18,18,3,9,6,6,16,16,16,12,12,4,6,12,1,4,3,6,3,12,12,8,4,2,6,6,2,8,
16,8,8,8,9,1,9,4,16,8,12,1,6,6,3,3,6,6,3,4,4,4,8,8,3,1,3,2,1,4,3,1,1,1],[1,18,
25,1,32,16,6,4,12,27,54,26,30,18,25,32,16,16,16,12,18,1,12,6,27,3,36,2,18,30,
2,16,6,4,12,27,54,8,4,26,30,16,8,16,6,3,6,3,3,18,18,6,16,16,16,12,18,1,12,6,
27,3,36,8,4,4,4,2,18,30,2,8,8,8,16,8,8,8,3,6,1,3,6,4,16,8,6,3,6,3,3,18,18,6,4,
8,3,4,4,4,8,8,8,8,3,6,1,3,6,2,1,4,8,3,1,1,1],[1,6,72,13,1,32,16,18,4,36,3,36,
12,18,36,14,6,6,24,13,96,96,32,48,48,16,36,18,36,1,36,18,3,3,12,36,36,2,6,6,
36,2,16,6,4,12,3,12,12,6,8,4,12,14,6,96,48,8,16,18,18,9,3,9,6,6,18,36,36,16,
16,16,12,6,12,1,12,6,3,3,12,12,24,8,24,12,4,12,12,2,6,6,12,2,8,16,8,8,8,9,18,
1,9,18,4,16,8,6,6,3,3,3,6,6,6,24,12,12,12,24,24,24,9,4,4,4,8,8,3,6,1,3,6,2,1,
4,8,3,6,3,1,1],[1,18,9,42,3,27,4,32,4,18,54,9,18,54,3,18,1,3,54,27,27,9,9,21,
54,1,27,9,21,18,18,6,36,12,28,24,96,4,24,12,12,18,6,18,9,18,18,18,18,18,27,54,
18,9,18,27,36,3,9,9,18,9,18,3,9,9,9,27,9,27,9,9,27,9,9,27,18,21,27,54,36,16,
12,12,12,4,36,12,36,8,1,24,12,24,12,12,4,12,12,12,1,8,24,18,9,18,3,18,9,18,9,
9,9,9,9,9,27,9,27,9,9,3,9,9,9,9,9,9,9,9,1,9,9,3,3,9,9,9,27,27,9,9,16,16,16,6,
12,12,12,4,12,12,12,24,1,6,3,3,9,12,12,12,4,12,12,12,3,7,24,24,9,9,9,3,9,9,9,
9,9,9,9,3,9,9,9,4,16,4,6,3,6,12,3,3,3,1,3,3,3,1,2,3,3,3,9,9,12,9,4,4,4,4,4,4,
3,3,3,3,3,3,1,3,3,3,1,3,6,3,3,4,1,4,3,3,1,1,1,1],[1,12,3,36,7,21,4,32,4,3,4,6,
36,27,36,18,9,9,54,27,1,36,21,21,18,24,27,54,54,54,48,28,32,4,12,12,4,4,12,12,
6,9,18,3,9,12,18,1,6,12,18,18,18,3,18,18,12,27,36,18,27,27,54,27,36,27,27,54,
9,18,36,36,9,18,18,7,27,54,54,6,16,12,16,24,36,36,8,1,12,4,12,4,12,12,12,12,
12,12,12,24,1,8,24,18,3,18,3,18,9,9,9,18,4,18,3,18,12,18,9,18,36,6,18,9,18,18,
9,36,9,9,27,27,9,18,9,18,18,16,16,16,24,12,4,24,12,8,1,3,3,1,1,3,3,12,4,12,12,
4,4,12,12,7,8,24,6,9,18,3,9,1,6,9,18,3,9,4,16,4,12,3,3,1,3,1,3,3,3,3,3,3,3,6,
4,2,6,9,9,4,3,4,4,4,4,4,4,6,3,1,3,3,1,1,3,3,1,6,2,3,4,1,4,3,1,1,1,1,1],[1,6,9,
54,3,27,4,32,4,54,3,54,3,1,3,54,27,27,9,9,18,18,27,54,18,1,27,3,27,18,6,18,24,
36,4,36,96,4,12,12,24,18,27,54,6,18,18,18,3,27,3,9,9,18,3,9,18,9,9,18,27,18,
18,9,27,9,27,9,27,9,9,9,9,18,18,27,27,54,18,36,36,16,12,24,24,12,4,36,12,36,
12,12,8,1,12,4,12,12,12,12,1,8,24,9,18,18,27,27,3,9,9,9,18,18,9,3,9,9,9,9,1,9,
9,9,3,3,9,9,9,9,27,27,9,9,9,9,9,9,9,9,9,9,16,16,16,6,12,12,12,12,12,12,4,12,
12,12,24,1,3,3,6,9,4,12,12,12,1,9,24,24,9,9,9,3,9,9,9,3,9,9,9,9,9,9,9,4,16,4,
3,6,6,12,12,3,3,1,3,3,3,3,1,2,3,9,9,3,3,9,4,4,4,4,4,4,3,3,3,3,3,3,1,3,3,3,1,3,
6,3,3,4,1,4,3,3,1,1,1,1],[1,24,6,24,3,18,1,3,4,32,4,36,72,12,36,72,24,24,4,18,
36,3,36,18,12,36,1,18,12,12,3,3,24,9,18,24,24,16,16,4,24,32,12,4,12,24,18,72,
36,36,36,24,36,72,12,36,36,12,12,36,12,1,12,6,36,18,36,9,18,18,18,9,36,12,36,
36,12,1,9,12,6,16,12,24,24,24,16,48,12,24,8,1,16,12,4,12,12,12,12,1,8,24,12,6,
24,18,36,18,18,18,36,36,12,36,36,12,36,4,12,3,12,12,3,18,9,36,18,18,16,16,16,
6,6,12,12,12,16,24,4,16,8,3,1,3,6,12,12,4,12,4,4,1,8,24,12,3,12,18,18,12,12,1,
3,4,16,4,3,6,6,3,12,4,1,3,3,3,3,4,2,6,12,3,6,4,3,4,4,4,4,4,4,3,3,3,3,3,1,3,4,
1,4,2,6,4,1,4,3,1,1,1,1,1],[1,18,3,42,3,9,6,18,4,32,4,18,18,9,18,18,36,36,1,3,
18,9,9,9,3,18,9,21,18,36,36,1,9,9,21,18,18,6,18,18,18,12,12,28,24,24,96,12,24,
4,12,6,18,9,18,18,18,18,9,18,18,18,18,9,18,9,18,18,36,36,3,18,3,9,9,9,9,18,3,
9,9,9,9,9,9,9,9,9,9,18,21,9,18,18,36,18,36,6,18,18,18,16,12,4,12,12,12,12,12,
8,1,24,24,12,24,24,4,12,12,12,12,12,1,8,24,3,18,18,9,18,9,9,9,9,9,18,9,9,9,9,
9,9,18,18,1,3,9,9,9,9,3,9,9,9,9,9,9,9,3,9,9,9,9,9,9,9,18,18,16,16,16,6,4,12,
12,12,12,12,12,24,3,6,1,3,3,12,12,12,12,4,12,12,3,7,6,24,24,3,9,9,9,9,9,9,9,9,
9,9,9,3,9,9,4,16,4,3,6,6,12,1,3,3,3,3,3,1,2,3,3,3,3,3,3,12,6,6,9,4,4,4,4,4,4,
3,3,3,3,1,3,3,1,3,3,6,3,3,3,3,4,1,4,3,3,1,1,1,1],[1,6,72,3,18,1,3,4,32,4,18,4,
36,18,36,3,36,18,18,36,36,36,36,36,1,18,36,3,3,18,24,9,18,18,24,48,4,96,96,32,
24,12,24,4,12,36,9,36,18,18,12,1,36,12,18,18,36,18,6,9,36,18,9,18,9,18,18,9,9,
36,18,18,36,36,18,36,36,72,18,72,1,9,18,18,6,16,12,16,24,12,24,12,8,1,24,96,
12,24,24,4,12,12,12,12,12,1,8,24,18,18,36,9,18,9,9,18,4,18,3,18,12,18,18,18,9,
18,18,3,18,9,9,9,9,18,9,18,36,18,18,36,16,16,16,24,12,4,24,12,24,8,24,6,3,1,6,
3,6,12,12,12,12,4,12,12,12,1,24,24,8,24,24,24,18,9,18,9,9,1,18,9,18,9,9,4,16,
4,12,24,3,6,6,1,3,3,3,3,3,4,2,3,6,3,6,3,12,6,24,24,9,4,4,4,4,4,4,3,3,3,1,3,3,
3,6,1,6,6,2,6,3,3,4,1,4,3,3,6,1,1,1,1],[1,6,3,54,3,9,6,18,4,32,4,18,3,18,36,
36,18,1,3,18,9,9,9,18,3,9,27,18,36,18,36,1,9,3,27,18,18,18,6,18,18,24,12,4,36,
24,96,24,12,4,12,18,9,18,6,18,18,18,3,9,18,18,36,18,9,18,18,18,3,3,9,9,18,9,9,
18,3,9,9,9,9,9,9,9,9,9,9,18,27,9,18,18,18,36,18,36,36,6,18,18,18,16,12,24,24,
12,4,12,12,12,12,12,8,1,24,24,12,4,12,12,12,12,1,8,24,9,18,18,9,9,3,9,9,9,18,
18,18,18,9,9,9,9,9,9,1,9,9,9,3,3,9,9,9,9,9,9,9,9,9,3,9,9,9,9,9,9,18,18,16,16,
16,6,12,12,12,12,12,12,4,12,12,12,24,6,3,1,3,3,12,12,4,12,1,9,6,24,24,9,9,9,3,
9,9,9,9,9,9,9,3,9,9,9,4,16,4,3,6,6,12,12,3,1,3,3,3,3,1,2,3,3,3,3,3,3,6,6,9,4,
4,4,4,4,4,3,3,3,3,3,1,3,3,1,3,6,3,3,3,3,4,1,4,3,3,1,1,1,1],[1,6,3,18,13,39,4,
32,4,18,3,12,18,36,1,18,39,39,9,72,18,72,10,90,6,18,60,24,52,32,4,12,12,4,4,
12,12,6,9,36,18,36,3,9,6,18,36,36,13,9,72,30,90,18,18,18,9,9,18,18,18,18,72,1,
3,6,21,9,36,18,42,18,18,18,18,16,12,48,40,24,12,4,12,4,12,12,12,12,12,12,12,
24,1,8,1,8,24,3,12,9,9,18,18,36,3,9,18,18,10,6,18,18,18,3,9,18,21,9,36,18,18,
9,18,9,9,18,9,18,18,18,18,16,16,16,12,24,6,4,12,24,4,12,12,4,4,12,12,13,8,3,1,
3,1,1,3,3,8,24,3,6,9,9,18,1,3,6,9,18,9,16,4,4,12,3,12,4,10,6,1,2,3,3,3,3,3,3,
1,3,3,3,3,3,3,4,4,4,4,4,4,3,6,1,3,6,1,1,1,2,3,3,3,3,4,4,1,3,1,1,1,1,1],[1,72,
3,1,3,4,32,4,36,36,36,1,36,3,3,3,9,48,4,96,96,32,24,12,24,4,12,36,18,36,18,18,
1,18,9,9,18,1,9,18,3,3,16,24,12,96,12,24,24,4,12,12,12,12,12,1,8,18,9,18,18,
18,18,18,3,9,9,9,3,9,16,16,16,12,12,4,12,12,12,12,4,12,12,12,1,24,24,8,4,4,1,
12,12,9,9,9,9,1,9,9,16,4,12,12,6,3,24,3,12,12,6,12,12,9,4,4,4,4,3,3,1,1,1,1,3,
3,4,4,3,3,3,3,1,1],[1,3,7,21,4,1,21,21,7,63,42,28,8,7,21,63,1,21,42,28,1,24,7,
3,21,32,4,7,8,1,7,1,8,1,3,4,1,1],[1,3,7,21,112,1,21,21,7,63,42,112,8,7,21,63,
1,21,42,28,28,84,24,7,3,21,32,28,28,84,8,1,7,1,8,7,3,4,1,1],[1,3,7,21,28,1,21,
21,7,63,42,84,28,84,8,7,21,63,1,21,42,28,84,84,7,24,7,3,21,8,28,21,7,21,8,1,
24,7,21,21,1,8,7,3,1,1,3,1],[1,3,7,21,112,1,21,21,7,63,42,112,8,7,21,63,1,21,
42,28,28,84,24,7,3,21,32,28,28,84,8,1,7,1,8,7,3,4,1,1],[1,56,1,21,21,28,28,84,
84,21,14,42,21,21,56,28,56,28,28,8,42,42,42,14,21,21,42,21,42,28,56,56,28,28,
14,8,16,21,42,42,21,21,8,28,14,14,14,8,21,8,16,14,8,1,2,1,1],[1,3,21,63,28,1,
63,63,14,126,21,63,84,84,28,84,8,21,42,126,63,63,21,126,63,63,63,28,84,84,14,
24,14,21,63,126,63,8,28,42,14,42,8,21,24,14,42,42,8,14,1,3,1],[1,1,21,21,28,
28,21,14,42,21,21,28,28,28,8,42,14,21,21,42,21,42,28,28,28,14,8,21,21,21,8,28,
14,14,14,8,21,8,14,8,1,1,1],[1,21,3,63,28,7,7,21,63,63,63,63,1,63,42,42,28,84,
84,8,21,21,63,21,63,63,63,21,63,63,63,126,7,7,84,28,84,24,63,7,63,7,63,21,63,
8,21,7,21,7,21,21,28,8,21,24,7,21,21,21,7,21,8,7,7,1,3,1],[1,18,5,90,3,15,1,4,
8,90,9,90,15,45,1,15,9,45,1,6,3,5,30,15,20,40,12,60,24,120,45,9,45,5,45,45,45,
4,18,1,3,3,18,3,30,30,1,3,15,15,15,15,60,120,1,2,1,4,8,45,4,20,20,9,18,18,3,1,
3,9,9,9,3,15,15,5,15,15,15,5,10,3,15,6,30,6,3,1,6,3,12,4,12,24,8,24,20,1,9,9,
9,1,9,9,9,4,15,15,30,3,6,6,1,3,3,3,3,3,12,24,1,2,1,5,5,9,4,4,4,3,3,3,1,3,3,3,
1,2,3,3,6,6,5,4,1,3,3,6,1,1,1,1],[1,5,3,15,1,4,8,15,15,45,1,15,1,3,5,15,20,40,
45,5,45,4,1,3,3,1,15,15,15,5,60,1,2,1,4,8,15,20,3,3,9,1,3,5,15,15,5,10,3,1,3,
4,8,20,1,1,9,9,4,5,15,1,3,3,3,1,12,1,2,5,3,4,1,3,3,1,2,5,4,1,1,3,1,1],[1,5,3,
15,1,4,8,30,15,1,15,30,1,3,5,15,20,40,15,5,15,4,1,3,3,1,15,15,30,30,20,1,2,1,
4,8,15,20,6,3,1,3,6,5,15,15,5,10,3,1,3,4,8,20,1,3,1,3,4,15,5,1,3,3,6,6,4,1,2,
5,3,4,1,3,3,1,2,5,4,1,3,1,1,1],[1,13,45,45,11,20,45,135,5,15,45,45,45,6,50,20,
11,50,45,45,60,60,15,45,45,15,45,45,45,10,18,6,18,45,50,90,60,45,45,5,15,15,
15,5,10,6,45,10,20,20,10,10,18,6,18,15,45,15,15,5,15,15,15,5,15,30,6,6,6,20,
10,10,20,10,5,18,15,15,6,6,6,1,10,5,5,5,6,3,1,3,5,1,3,1,1,1,1],[1,6,15,90,1,
15,11,20,90,3,90,5,90,15,15,45,90,6,60,2,10,11,10,15,90,15,20,120,30,45,90,5,
45,10,36,6,6,6,36,30,60,60,1,30,30,10,15,45,5,30,15,30,5,10,60,6,15,20,10,10,
20,10,18,36,36,6,18,30,30,15,10,30,5,15,5,10,12,6,6,12,6,10,20,20,10,10,5,18,
15,5,6,12,12,6,6,1,10,10,5,6,6,1,5,1,3,2,1,1],[1,13,15,45,30,11,20,15,45,30,
90,5,15,45,45,45,6,50,20,11,10,40,15,45,30,60,60,15,45,45,15,45,45,45,10,18,6,
18,15,10,40,30,30,60,60,15,30,30,15,5,15,15,15,5,10,6,45,10,20,10,10,10,10,18,
6,18,15,15,15,30,15,5,15,15,15,5,15,30,6,6,6,10,10,10,10,10,10,10,5,18,15,15,
6,6,6,1,10,5,5,5,6,3,1,3,5,1,3,1,1,1,1],[1,20,15,1,15,11,20,30,10,30,5,30,15,
15,6,40,40,20,10,11,10,15,15,20,30,15,30,5,15,10,6,6,6,30,20,20,20,30,20,10,
10,15,5,15,30,5,10,6,15,20,20,10,10,10,12,6,30,15,30,10,5,15,10,5,10,6,6,6,20,
10,20,10,10,5,6,15,5,6,12,1,10,5,10,6,2,1,5,1,1,2,1,1],[1,45,1,45,11,20,5,45,
45,45,15,135,45,6,50,11,50,45,45,60,20,60,45,5,45,45,45,45,45,10,6,6,6,50,45,
90,45,45,5,15,15,15,5,10,60,6,45,20,10,10,10,20,6,18,18,45,15,15,5,15,15,15,
15,5,15,10,30,30,6,6,6,20,10,20,10,10,5,18,15,15,30,6,6,6,1,10,5,5,5,6,3,1,3,
5,1,3,1,1,1,1],[1,15,3,45,11,20,5,45,45,1,45,30,6,10,33,30,15,45,60,15,15,45,
10,6,18,18,30,11,30,45,45,5,45,30,5,10,20,6,5,10,30,30,18,6,18,10,15,15,45,15,
30,18,6,18,30,10,30,5,6,5,5,10,6,18,18,1,10,15,6,3,5,1,1,3,1],[1,15,1,75,11,
20,5,15,15,90,90,30,90,6,10,11,90,15,75,20,120,5,90,45,45,90,10,6,6,6,10,60,
40,15,30,30,90,5,15,30,5,10,60,6,45,10,10,20,30,6,36,30,15,5,15,30,30,5,30,10,
60,6,6,6,10,20,10,10,20,5,18,15,15,30,6,12,1,10,5,10,6,1,6,5,1,3,1,2,1],[1,15,
1,15,11,20,5,15,15,10,30,6,10,11,10,15,15,20,5,15,15,10,6,6,6,10,20,10,15,5,
15,30,5,10,20,6,15,10,10,10,6,12,10,15,5,15,5,10,6,6,6,10,10,10,5,6,15,5,6,12,
1,10,5,6,1,5,1,1,1,1],[1,15,1,15,11,20,5,15,15,3,45,6,10,11,10,15,15,20,5,45,
45,10,6,6,6,10,30,1,15,45,5,15,5,10,60,6,15,10,10,10,6,18,18,30,15,5,15,5,10,
6,6,6,10,10,10,5,18,5,15,6,6,6,1,10,5,6,1,5,1,3,1,1],[1,33,25,45,10,1,20,75,
135,5,45,15,15,45,6,60,30,20,10,30,25,20,11,15,60,60,45,45,45,15,45,15,45,10,
18,6,18,30,60,60,30,10,5,5,10,25,15,15,45,15,15,60,6,45,10,20,20,10,10,18,18,
6,30,15,15,5,15,15,5,30,15,15,15,15,6,6,6,20,10,10,20,10,5,18,15,15,6,6,6,1,
10,5,5,5,6,3,3,1,5,1,3,1,1,1,1],[1,15,3,45,10,4,80,5,45,45,1,45,30,6,10,30,30,
60,15,15,45,40,6,18,18,30,10,30,5,20,40,1,20,120,24,5,40,18,6,18,10,15,15,24,
10,20,6,5,5,10,6,1,10,6,3,5,4,1,1],[1,15,3,45,10,4,80,5,45,45,1,45,30,6,10,30,
30,60,15,15,45,40,6,18,18,30,10,30,5,20,40,1,20,120,24,5,40,18,6,18,10,15,15,
24,10,20,6,5,5,10,6,1,10,6,3,5,4,1,1],[1,3,15,75,10,1,20,10,45,30,45,5,15,45,
45,15,90,6,30,15,1,25,10,30,60,60,20,10,30,30,10,10,45,15,45,45,45,15,45,10,
18,6,18,30,30,30,15,5,15,15,15,15,15,10,5,10,30,30,30,60,10,30,6,45,10,10,10,
10,10,10,10,18,18,6,15,30,15,15,15,5,15,15,15,30,15,5,6,6,6,5,10,10,10,10,10,
10,10,18,15,15,6,6,6,1,5,5,5,10,6,3,3,1,5,1,3,1,1,1,1],[1,15,3,45,4,80,10,5,
45,45,1,45,30,6,60,10,30,30,15,15,45,40,6,18,18,20,40,5,30,10,30,1,20,120,24,
5,40,18,6,18,15,15,10,24,20,10,6,5,5,10,6,1,10,6,3,5,4,1,1],[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],[1,1,45,45,
20,20,45,15,15,45,45,45,45,36,20,20,60,60,60,60,15,15,45,45,45,45,45,10,36,36,
36,60,60,15,15,45,10,10,10,36,15,15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,
1],[1,60,15,20,20,15,60,90,45,45,36,80,60,60,60,20,90,15,15,90,45,10,36,60,15,
15,60,45,20,10,20,36,30,15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,45,1,45,
20,20,15,15,45,45,45,45,45,36,60,20,60,60,20,60,45,15,45,15,45,45,45,10,36,36,
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],[1,45,15,15,20,20,15,15,45,45,45,45,45,36,60,20,60,60,60,20,45,45,15,15,45,
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],[1,16,18,48,3,54,9,27,4,32,96,8,32,96,48,48,2,8,12,12,48,54,18,
108,36,15,48,18,24,90,54,24,48,48,48,48,1,54,8,24,27,27,12,8,72,45,108,90,108,
24,6,54,6,18,36,16,8,8,12,24,12,24,36,8,24,24,16,8,72,24,48,24,48,24,16,24,48,
48,24,24,48,24,48,72,48,24,8,32,48,24,24,16,48,48,96,12,6,36,6,24,18,24,4,24,
24,24,24,24,36,36,3,24,12,36,36,36,36,24,6,36,36,24,24,24,24,24,18,18,4,108,
24,36,16,48,45,24,54,12,90,24,54,12,72,54,24,54,108,27,36,108,72,18,36,9,24,
27,3,9,12,36,48,24,48,108,24,36,108,24,24,24,48,48,24,48,48,24,48,24,48,24,24,
48,48,48,48,9,45,108,24,24,18,54,18,18,108,24,18,54,27,24,27,18,18,36,36,36,
36,216,8,16,8,16,16,8,16,4,24,24,24,4,24,4,24,8,4,36,12,36,12,12,24,4,24,36,
12,4,8,24,24,8,1,24,4,24,24,24,12,24,6,24,24,24,12,24,12,24,24,16,4,36,12,24,
12,24,12,24,24,18,24,12,8,24,12,24,24,12,12,12,48,8,24,8,24,12,24,24,24,48,36,
24,12,12,24,12,48,36,24,12,24,24,24,24,24,48,48,24,48,48,48,24,24,24,36,6,36,
2,4,36,8,18,12,18,12,18,36,1,24,6,8,18,18,24,12,8,12,12,24,4,4,12,12,12,12,12,
12,12,24,12,6,24,24,6,12,48,12,36,12,12,9,12,36,36,36,12,12,18,36,72,3,6,9,12,
36,12,12,12,18,36,36,12,12,18,72,12,3,18,18,24,24,12,12,12,12,12,24,24,6,6,24,
12,48,48,15,24,18,12,54,12,54,12,12,12,12,12,27,36,36,12,12,12,24,18,12,24,24,
12,12,27,12,27,12,9,9,36,36,24,24,24,108,24,24,24,36,36,27,18,54,36,24,108,24,
9,6,9,18,36,18,12,18,24,24,9,18,24,24,24,48,24,12,24,24,12,48,24,24,6,6,54,18,
36,36,12,36,12,36,18,18,8,4,8,8,8,8,8,8,16,8,8,8,8,8,16,4,4,8,12,12,8,24,8,8,
8,8,12,24,8,4,8,12,12,12,12,8,4,12,12,12,12,12,36,12,12,4,4,24,12,8,12,24,16,
2,2,3,6,3,6,9,12,12,24,4,12,12,12,12,8,12,24,12,12,12,3,12,12,12,12,24,6,6,12,
12,6,12,12,12,12,12,12,12,24,12,12,12,18,12,6,4,12,6,12,12,6,6,6,24,8,24,12,
12,6,6,12,12,12,12,12,12,8,12,12,8,12,16,12,12,12,12,12,12,24,12,12,12,12,12,
24,12,12,12,12,48,12,12,18,36,12,3,12,18,6,12,12,12,18,12,4,3,12,18,4,18,12,
18,4,24,9,12,18,36,24,12,12,6,12,12,6,6,12,12,12,12,12,6,12,6,12,6,3,12,12,6,
6,24,6,12,6,3,12,12,18,12,36,6,12,12,3,12,12,9,3,9,3,9,18,12,6,12,18,12,6,12,
6,6,9,18,18,6,6,9,36,12,12,6,6,3,12,12,6,6,9,12,3,12,24,27,12,18,12,24,12,6,3,
24,9,6,9,36,6,3,9,12,12,6,6,24,18,18,24,12,12,12,12,4,8,8,4,4,4,4,4,4,8,8,2,8,
8,8,8,4,2,4,4,2,4,12,4,4,4,12,4,4,4,12,4,12,4,4,12,4,4,12,4,12,4,4,4,4,4,4,12,
4,4,1,6,6,6,1,6,1,1,6,2,9,3,9,3,3,6,1,6,1,2,9,3,6,6,2,12,6,12,6,12,12,6,4,6,
12,6,6,12,3,12,6,12,3,3,6,6,6,6,6,6,6,6,4,12,6,6,4,12,6,6,6,6,6,6,6,6,6,6,12,
12,12,12,6,6,9,6,18,6,1,12,6,4,4,12,6,6,9,6,18,6,6,6,4,6,6,3,6,6,12,6,3,12,6,
6,6,6,3,6,6,3,3,9,6,3,3,3,6,3,6,9,6,6,6,3,6,3,4,4,4,2,4,4,4,4,1,2,2,2,2,2,2,4,
2,2,2,2,2,4,4,4,4,4,4,4,4,4,1,2,3,3,2,2,6,2,2,2,3,6,2,1,2,3,3,3,3,3,3,2,1,3,3,
3,1,9,3,3,1,6,3,2,3,6,4,6,3,6,4,6,6,6,3,3,6,6,6,6,3,6,3,6,3,3,4,1,2,2,1,1,1,1,
1,1,2,2,2,2,2,2,3,1,1,1,3,1,1,1,3,1,3,1,1,3,1,1,1,3,1,1,3,1,3,1,1,1,1,1,3,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,8,6,8,3,18,13,39,16,12,24,4,12,24,8,8,4,18,36,
3,12,12,24,18,36,4,12,1,18,4,4,39,39,24,9,72,18,72,24,14,126,6,18,84,32,32,48,
16,48,8,6,24,12,24,12,24,12,8,12,24,4,12,12,4,4,12,48,12,1,12,6,36,6,12,9,6,
36,12,18,6,36,12,9,36,3,12,9,3,9,12,36,24,24,36,12,36,12,4,12,12,4,24,24,13,9,
72,4,42,126,18,18,6,18,9,12,9,18,18,36,36,36,36,72,2,6,6,42,18,36,18,84,18,18,
36,36,2,18,6,6,16,32,32,4,16,16,16,48,48,16,8,4,2,8,6,12,6,12,6,12,6,12,12,12,
12,24,12,12,4,12,12,24,4,12,12,12,24,4,4,3,12,4,3,6,9,3,6,12,12,9,12,6,6,12,
12,9,6,9,6,9,9,36,36,12,12,36,12,12,12,9,6,9,18,36,18,12,18,24,6,18,36,36,6,
18,36,18,18,14,6,18,18,36,36,6,18,18,42,18,36,18,36,6,18,36,18,18,18,36,18,18,
36,18,36,36,36,36,18,36,18,36,18,18,36,36,36,36,8,8,16,16,16,12,4,12,16,16,16,
16,24,8,24,8,4,1,4,6,6,6,12,6,6,6,6,6,12,6,6,12,12,4,4,1,1,9,3,9,3,1,6,9,6,6,
3,6,3,12,12,9,6,9,36,6,6,6,6,12,18,18,36,18,18,36,18,9,6,9,12,12,18,18,6,36,
36,2,6,6,2,18,36,18,18,36,18,12,18,36,18,6,6,4,8,8,4,16,4,4,12,12,4,8,24,24,
24,1,3,3,2,6,6,6,6,6,6,6,12,3,3,3,3,3,3,9,3,6,6,6,18,18,4,4,4,4,4,4,4,1,8,8,3,
1,3,1,3,1,3,4,2,3,1,1,1,1,1],[1,8,18,56,1,18,25,25,16,12,72,4,12,72,56,56,6,
12,4,12,72,18,18,12,12,27,36,54,36,54,54,28,72,72,36,72,25,27,108,26,78,30,30,
32,32,16,32,16,16,32,16,16,16,16,12,8,24,6,12,24,24,36,36,36,36,24,24,36,72,
24,8,72,24,36,24,72,24,28,36,144,12,6,12,18,36,18,24,6,24,36,36,36,36,4,12,1,
24,12,4,12,12,12,24,6,12,12,36,36,24,36,24,27,18,54,18,54,36,54,3,12,6,27,36,
27,3,3,36,36,72,36,72,108,36,36,36,24,24,26,30,54,6,36,36,2,18,30,14,18,60,30,
36,24,2,6,16,32,32,32,32,32,32,4,32,16,32,32,32,16,16,16,16,32,32,16,16,16,16,
16,8,24,6,24,36,36,4,24,2,24,8,24,12,24,12,24,24,18,18,36,36,6,24,12,12,36,12,
36,36,12,12,12,72,12,24,12,24,12,24,24,24,4,36,12,24,36,24,24,24,12,6,12,18,
18,6,3,36,6,12,18,6,36,12,12,24,18,18,12,36,12,6,36,36,6,12,72,1,12,12,6,12,3,
6,3,12,6,6,12,3,6,6,18,6,6,36,12,27,18,3,36,36,27,6,36,3,6,3,12,3,18,18,18,18,
36,6,12,6,12,12,12,24,24,24,24,2,18,30,12,2,18,36,36,18,6,12,12,6,8,8,16,16,
16,32,32,32,32,4,8,4,4,4,8,4,4,4,16,16,16,16,8,8,8,8,8,8,8,8,12,12,24,18,12,
12,12,36,12,1,12,12,24,6,6,6,12,12,12,12,12,6,18,6,6,12,36,12,12,6,6,12,12,12,
12,12,12,6,3,12,6,3,18,6,6,3,12,6,6,6,6,6,6,12,18,6,3,6,12,6,12,12,3,3,3,1,6,
3,6,3,3,6,6,3,3,6,6,3,12,12,18,18,6,6,18,18,6,6,6,6,6,6,12,12,12,12,8,4,8,8,8,
8,8,4,8,8,8,8,16,4,4,4,4,8,8,4,4,4,4,4,8,8,8,8,8,8,8,8,16,6,6,12,6,6,6,12,3,6,
2,6,6,6,6,6,6,3,6,3,6,3,6,6,3,6,6,6,6,6,12,1,3,3,3,3,6,3,6,6,6,4,8,8,4,4,8,8,
4,4,4,4,1,8,8,3,6,6,1,3,6,6,3,3,3,3,4,2,1,1,2,1,3,1,2,2,1,1,1],[1,8,6,8,1,30,
13,37,16,12,24,4,12,24,8,8,4,6,12,12,24,3,12,12,24,30,24,4,12,12,24,13,12,12,
12,27,96,48,84,12,14,66,6,54,24,32,32,16,32,16,16,32,8,6,24,12,24,12,24,12,8,
12,24,24,4,24,24,12,24,4,24,1,4,24,6,6,12,12,3,6,12,12,12,12,6,6,24,12,24,36,
3,24,12,12,3,12,3,3,3,12,12,24,24,36,12,12,24,12,24,24,24,24,12,36,12,14,12,6,
24,60,12,30,12,12,6,60,12,24,24,96,2,6,6,14,30,60,6,24,24,12,24,2,6,24,16,32,
32,4,16,16,16,16,16,16,32,32,8,4,2,8,6,12,6,12,12,6,6,12,12,12,12,24,12,12,4,
12,12,24,24,24,12,12,1,12,12,12,24,3,6,3,6,6,12,12,6,6,12,12,6,12,6,3,6,3,12,
12,12,12,12,12,12,12,6,12,6,12,24,3,6,3,12,6,6,24,6,6,12,12,6,6,12,12,12,24,
12,2,6,6,12,24,12,2,12,12,30,24,12,6,12,36,12,24,24,6,12,6,12,8,8,16,16,16,4,
8,4,4,8,16,16,16,16,8,16,8,8,16,8,12,1,12,6,6,6,12,6,6,6,6,6,12,6,6,12,12,6,6,
3,3,6,6,1,6,3,6,6,6,3,6,6,6,12,6,6,3,12,6,3,3,6,6,6,6,6,6,12,6,6,6,3,3,6,6,12,
6,6,12,12,12,12,12,12,12,12,4,8,8,4,16,4,4,4,4,4,8,8,8,8,8,8,16,8,8,6,3,2,6,6,
6,6,6,6,6,3,6,3,1,3,3,3,6,6,12,6,6,6,6,6,6,4,4,4,4,4,4,4,1,8,8,3,1,3,3,3,3,3,
4,2,1,2,3,1,1,1,1],[1,24,10,72,3,30,9,27,4,36,120,12,36,120,72,72,2,12,4,4,72,
30,18,36,12,11,60,18,36,66,54,36,72,72,60,72,1,30,12,36,27,27,12,12,24,33,108,
66,108,36,6,54,2,6,36,40,16,48,36,12,24,24,18,12,72,24,60,36,60,36,24,24,60,
72,24,24,72,24,60,72,72,24,12,36,60,36,36,24,60,72,144,4,6,12,6,36,18,24,6,24,
36,36,36,36,12,12,1,24,4,12,12,12,12,24,2,12,12,36,36,24,36,24,10,18,6,36,36,
12,18,60,33,30,54,18,66,30,54,18,24,54,36,54,108,9,12,36,24,6,12,9,36,27,1,3,
4,12,72,36,72,108,36,36,108,36,36,36,60,72,36,60,72,36,48,36,48,24,24,72,72,
72,72,9,33,108,36,36,18,54,6,6,108,36,6,54,27,36,27,6,6,12,12,12,12,216,8,24,
8,16,80,16,48,44,40,72,24,48,48,24,8,1,24,6,24,36,36,12,24,6,24,24,24,12,24,
12,24,24,18,6,36,12,30,18,30,18,36,36,18,24,12,12,36,12,36,36,12,12,12,72,12,
24,12,24,12,24,24,24,60,36,36,12,12,36,12,60,36,36,12,24,36,24,24,24,72,72,36,
60,72,72,36,36,24,12,2,12,2,6,12,12,18,18,18,18,6,12,1,36,2,12,18,6,36,12,12,
12,12,24,6,6,12,12,18,18,18,18,12,36,12,6,36,36,6,12,72,4,12,12,12,3,12,12,12,
12,12,12,6,12,24,1,6,3,4,12,12,12,12,6,12,12,12,12,6,24,12,1,6,6,36,36,12,12,
18,12,12,36,36,6,6,36,12,72,72,11,30,18,18,54,18,54,18,18,18,18,18,9,36,12,12,
18,12,36,6,12,30,30,18,18,27,18,27,18,3,3,12,12,36,36,36,108,36,36,36,12,12,
27,6,54,12,36,108,36,3,6,3,6,12,6,12,6,24,24,3,6,24,24,36,72,36,12,24,24,12,
72,36,36,6,2,54,6,12,12,12,36,12,12,6,6,8,16,16,24,24,16,16,40,24,16,16,24,24,
4,16,16,16,48,16,16,8,24,36,24,4,16,48,10,16,4,12,9,12,12,24,6,12,18,18,12,12,
12,36,12,12,12,3,12,12,12,12,24,6,6,12,12,6,12,12,12,12,12,12,12,30,18,18,18,
18,12,6,6,18,6,18,18,6,6,6,36,12,36,12,12,6,6,12,12,12,12,12,12,12,12,12,12,
12,24,12,12,12,12,12,12,36,12,12,12,12,12,36,12,12,12,12,72,4,12,6,12,12,1,12,
6,6,18,18,18,6,12,6,3,18,6,6,18,18,6,6,36,3,12,6,12,24,12,12,6,12,12,6,6,12,
18,18,18,18,6,12,6,18,6,3,18,18,6,6,36,6,12,6,1,12,4,6,12,12,6,12,12,3,12,12,
3,3,3,3,3,6,12,2,12,6,12,6,12,6,6,3,6,6,6,6,3,12,18,18,6,6,3,18,18,6,6,9,18,1,
4,36,27,18,6,18,36,18,6,3,36,3,6,3,12,6,3,3,18,18,6,6,36,6,6,24,12,12,12,12,
16,24,8,16,8,4,24,8,8,2,4,16,8,24,8,8,8,16,24,8,4,4,4,8,4,4,4,4,6,2,20,12,11,
10,18,6,12,12,6,2,12,6,12,6,12,18,6,6,6,18,6,6,12,3,12,6,12,3,3,6,6,6,6,6,6,6,
6,6,18,6,6,6,18,6,6,6,6,6,6,6,6,6,6,12,12,12,12,2,6,3,6,6,6,1,18,2,6,6,18,6,6,
3,6,6,6,6,6,6,6,6,3,6,6,18,6,3,18,6,6,6,6,3,6,6,1,3,3,6,3,3,3,6,1,6,3,6,6,6,3,
6,3,8,8,8,4,8,8,4,2,4,6,6,4,8,4,4,4,1,4,4,4,4,4,4,4,2,10,6,6,6,12,6,9,6,1,4,
12,4,6,3,6,6,6,6,6,3,3,6,6,6,6,1,6,3,6,3,3,4,4,2,4,6,2,1,6,2,2,1,4,2,4,1,1,2,
2,2,1,2,6,2,6,1,1,3,2,1,2,2,2,2,1,1,2,1],[1,10,3,30,17,51,4,2,4,4,30,18,36,12,
11,26,66,78,1,30,51,51,12,24,33,156,66,156,18,162,14,42,108,40,68,4,6,12,6,18,
12,12,1,4,12,12,12,12,2,12,12,10,18,36,12,33,78,66,78,24,54,54,108,9,12,36,24,
6,12,11,33,3,9,20,60,132,36,132,17,33,156,54,162,42,42,108,6,66,33,33,18,18,
60,60,60,60,264,2,10,14,42,30,84,42,84,42,42,60,60,2,18,6,6,8,16,16,44,104,72,
56,1,12,2,12,2,12,18,18,6,12,1,2,18,6,12,4,12,3,12,12,12,6,12,24,3,9,4,12,6,
12,12,6,24,1,6,6,11,26,54,54,9,12,6,33,33,9,9,60,60,132,12,12,27,6,54,12,108,
9,9,18,36,18,18,3,6,10,6,30,18,60,60,6,18,36,18,18,18,14,66,18,60,60,6,30,42,
42,30,84,42,60,6,18,36,36,18,18,30,36,60,30,30,36,60,30,60,60,60,60,18,36,18,
36,18,18,36,36,36,36,16,24,4,16,8,44,12,80,10,8,40,56,8,17,4,6,12,1,6,6,6,3,6,
18,6,3,6,12,2,6,1,4,6,12,9,9,3,6,1,1,9,3,6,2,6,3,6,6,3,12,2,6,11,3,20,27,6,9,
9,36,3,30,18,30,18,60,18,18,36,6,6,18,18,18,18,18,6,9,3,9,3,18,18,36,36,6,6,6,
6,2,10,14,2,30,36,60,30,18,36,18,12,36,12,18,36,18,6,6,8,4,8,2,12,4,40,24,24,
4,4,11,26,18,14,2,3,6,1,3,1,2,3,6,6,6,6,3,3,3,3,3,3,9,3,3,3,6,1,3,6,6,6,3,3,
10,6,6,18,18,18,6,18,6,6,6,6,6,6,4,8,4,6,4,4,8,1,4,2,11,3,20,2,10,14,2,1,3,3,
2,6,1,1,3,3,2,6,4,2,1,2,3,1,10,6,6,1,1,2,1,1,2,1],[1,10,3,30,9,27,4,2,4,4,30,
18,36,12,11,18,48,66,54,1,30,27,27,12,24,33,108,66,108,48,6,54,2,6,36,40,36,4,
6,12,6,18,12,12,1,4,12,12,12,12,2,12,12,10,18,36,12,33,54,24,66,54,24,24,54,
54,108,9,12,36,24,6,12,9,24,27,1,3,4,12,108,24,36,108,24,9,33,108,18,54,6,6,
108,6,54,27,24,27,6,6,12,12,12,12,216,24,24,8,16,16,44,72,32,24,8,1,12,2,12,2,
12,18,18,6,12,1,2,18,6,12,4,12,3,12,12,12,6,12,24,1,12,3,4,12,6,12,12,6,24,1,
6,6,11,18,24,54,54,9,12,6,27,12,27,12,3,3,12,12,108,24,12,12,27,6,54,12,108,3,
12,3,6,12,6,24,6,48,3,6,12,12,6,2,54,6,12,12,12,12,36,12,6,6,12,12,16,24,4,16,
8,36,16,4,16,10,16,9,4,6,12,1,6,6,6,3,6,18,6,3,6,12,1,4,6,12,3,6,3,6,3,6,6,6,
6,6,2,6,3,6,6,3,12,9,12,1,4,27,6,3,12,3,12,3,6,6,6,6,6,6,12,12,6,6,12,12,12,
12,8,4,8,2,4,8,4,8,4,4,11,18,8,6,2,2,3,6,6,1,2,3,6,6,1,6,3,3,3,3,3,6,6,12,1,3,
6,6,6,12,4,4,6,4,4,1,4,2,9,4,1,4,4,1,3,3,3,3,3,3,4,2,1,2,1,2,1,2,3,1,1,1,1],[
1,18,3,54,25,75,16,2,12,12,54,18,108,36,15,42,90,126,1,54,75,75,12,72,45,252,
90,252,30,270,30,90,180,16,48,48,16,16,48,48,12,6,36,6,18,36,36,3,12,36,36,36,
36,6,36,36,18,18,108,36,45,126,90,126,72,54,54,108,27,36,108,72,18,36,15,45,9,
27,48,144,180,36,180,25,45,252,90,270,90,90,108,18,90,45,45,54,54,144,144,144,
144,360,4,24,30,84,72,180,90,168,90,90,144,144,6,54,18,18,8,48,16,48,16,48,48,
48,48,48,48,48,96,12,36,6,36,2,36,18,18,18,36,1,6,18,18,12,12,36,9,36,36,36,
18,36,72,9,27,12,36,18,36,36,18,72,3,18,18,15,42,54,54,27,36,18,45,45,27,27,
144,144,180,36,36,27,18,54,36,108,27,27,54,108,54,54,9,18,24,12,72,36,144,144,
18,54,108,54,54,30,30,90,54,144,144,12,72,90,84,72,180,90,144,18,54,36,108,54,
54,72,72,144,72,72,72,144,72,144,144,144,144,54,108,54,108,54,54,108,108,108,
108,24,8,24,16,48,48,16,16,48,48,36,4,12,4,12,12,36,12,18,36,3,18,6,18,3,18,
18,18,9,18,36,4,12,3,12,18,36,27,27,9,18,3,3,27,9,18,6,18,9,18,18,9,36,6,18,
15,9,48,27,18,27,27,108,9,72,36,72,36,144,54,54,108,18,18,36,36,36,36,54,18,
27,9,27,9,54,54,108,108,18,18,18,18,4,24,30,6,72,72,144,72,54,108,54,24,72,36,
54,108,54,18,18,8,24,24,1,16,12,12,12,12,36,12,36,4,12,12,12,12,12,6,9,18,3,9,
1,6,9,18,12,12,18,9,9,9,9,9,9,27,9,9,9,18,3,9,18,18,18,9,9,24,12,18,36,36,54,
18,54,18,18,18,18,18,18,8,3,1,3,1,1,3,3,4,4,12,12,12,12,12,3,9,9,4,18,3,3,9,9,
6,18,1,3,3,3,3,3,3,1,3,3,3,3,3,4,3,1,1,1,3,3,3,3,1],[1,24,6,24,3,18,13,39,4,
36,72,12,36,72,24,24,4,18,36,3,36,12,72,18,36,12,36,1,18,12,12,39,39,24,9,72,
18,72,72,14,126,6,18,84,24,16,16,52,24,18,72,36,72,36,72,36,24,36,72,12,36,36,
12,12,36,144,12,1,12,6,36,18,36,9,18,36,36,18,18,36,36,9,36,3,36,9,3,9,12,36,
72,72,36,36,36,36,12,36,36,12,72,72,13,9,72,12,42,126,18,18,6,18,9,36,9,18,18,
36,36,36,36,72,2,6,6,42,18,36,18,84,18,18,36,36,2,18,6,6,24,16,48,12,24,48,48,
16,56,24,1,12,6,24,18,36,18,36,18,36,18,36,36,36,36,72,36,36,12,36,36,72,12,
36,36,36,72,4,12,3,12,12,3,18,9,3,18,12,36,9,36,18,18,36,36,9,18,9,18,9,9,36,
36,36,36,36,36,36,36,9,18,9,18,36,18,36,18,72,6,18,36,36,6,18,36,18,18,14,6,
18,18,36,36,6,18,18,42,18,36,18,36,6,18,36,18,18,18,36,18,18,36,18,36,36,36,
36,18,36,18,36,18,18,36,36,36,36,16,24,48,4,16,12,24,12,48,48,6,8,24,24,8,4,4,
13,12,3,12,18,18,18,36,18,18,18,18,18,36,18,18,36,36,12,12,1,3,9,9,9,9,1,18,9,
18,6,3,18,3,12,36,9,18,9,36,18,18,18,18,36,18,18,36,18,18,36,18,9,18,9,36,36,
18,18,18,36,36,2,6,6,2,18,36,18,18,36,18,12,18,36,18,6,6,4,24,24,12,12,24,24,
4,6,12,3,6,12,12,4,14,6,3,9,9,6,18,18,18,18,18,18,18,36,3,9,9,9,3,9,9,9,18,6,
6,18,18,12,4,12,4,1,4,6,12,3,6,3,12,12,2,6,6,2,9,3,9,1,9,3,9,4,1,3,3,6,6,6,6,
3,3,1,3,1],[1,24,6,24,3,18,5,15,4,36,72,12,36,72,24,24,4,18,36,3,36,4,24,18,
12,12,36,1,18,12,12,15,15,24,9,24,18,24,24,2,18,10,30,12,24,16,16,20,24,18,72,
36,24,36,24,36,24,36,72,12,36,36,12,12,36,48,12,1,12,6,36,18,36,9,18,12,12,18,
18,12,12,9,36,1,12,3,1,3,4,12,24,24,12,12,12,12,12,36,36,12,24,24,5,9,24,12,6,
18,30,30,6,6,3,12,3,6,6,12,12,12,12,24,4,12,24,24,24,24,24,16,48,12,24,16,16,
16,8,40,1,12,6,24,18,36,18,12,18,12,18,12,12,12,12,24,36,36,12,36,36,24,12,36,
12,12,24,4,12,3,12,12,1,6,3,3,18,4,12,9,36,18,18,12,12,3,6,3,6,3,3,12,12,12,
12,12,12,12,12,3,6,3,6,12,6,12,6,24,2,6,12,12,2,10,6,6,12,12,12,12,24,12,12,
12,6,6,12,12,12,12,16,24,16,4,16,4,8,4,16,16,6,16,16,4,4,5,12,3,12,6,6,18,12,
18,6,6,6,6,12,6,6,12,12,12,12,1,3,3,3,3,3,1,6,3,6,1,6,1,4,12,3,6,3,12,6,6,6,6,
12,6,6,6,6,6,3,3,6,6,4,12,12,12,12,12,4,8,8,4,4,8,8,4,6,12,3,6,4,4,4,2,10,3,3,
3,6,6,6,6,6,6,6,6,1,3,3,3,3,3,3,3,2,6,6,6,4,4,4,4,1,4,6,4,1,2,1,4,4,4,4,3,3,3,
1,3,3,3,4,1,1,1,2,2,2,2,3,1,1,1,1],[1,6,48,3,18,13,39,4,12,4,24,18,36,3,24,12,
12,18,36,24,24,24,24,24,1,18,24,39,39,12,24,9,72,18,72,12,14,126,6,18,84,24,
32,52,24,6,24,12,24,24,12,12,1,24,12,12,12,24,12,6,6,36,12,9,12,36,6,18,12,36,
6,9,36,3,9,3,9,12,36,24,12,24,36,36,12,24,24,12,24,24,48,12,48,24,24,48,24,24,
13,9,72,12,42,126,18,18,12,6,18,9,9,18,18,36,36,36,36,72,2,6,6,42,18,36,18,84,
18,18,36,36,24,2,18,24,6,6,8,16,16,12,16,48,8,16,56,24,1,12,12,24,6,12,6,12,6,
12,12,12,6,12,6,24,4,12,3,12,12,12,3,9,12,12,6,12,12,6,6,24,3,12,12,6,6,12,12,
6,9,12,6,9,9,9,9,36,36,12,12,12,36,12,12,9,9,18,36,18,18,24,6,18,36,36,6,12,
18,36,18,18,12,12,12,12,24,24,12,12,12,24,24,24,24,24,24,24,24,14,6,18,18,36,
36,12,6,18,18,42,18,36,18,36,12,12,6,18,12,36,18,18,18,36,18,18,36,18,36,36,
36,36,18,36,12,18,36,18,18,12,36,36,36,36,16,8,16,4,16,8,12,12,48,16,6,16,8,
24,24,16,8,8,13,12,6,12,6,6,6,12,6,6,3,6,6,12,6,6,12,12,12,12,1,12,6,12,9,9,1,
6,9,6,6,6,6,3,6,6,12,12,12,12,3,3,12,12,6,3,12,9,9,36,3,18,18,36,18,6,18,6,36,
18,9,9,6,18,6,18,36,36,12,12,12,12,12,12,12,12,12,12,12,12,2,6,6,12,2,18,36,
18,18,36,12,18,12,12,12,12,12,12,12,12,12,18,36,18,6,12,12,6,8,8,4,12,4,24,24,
8,4,2,4,3,4,12,2,16,16,4,14,6,6,3,6,6,6,12,6,3,6,3,6,6,6,6,12,3,3,3,3,9,3,3,3,
6,6,6,6,6,6,6,18,18,6,6,6,12,12,12,12,12,12,12,12,4,8,4,4,8,4,1,4,2,4,2,3,3,
12,4,4,2,6,6,4,2,3,3,3,6,6,1,3,3,3,6,6,4,2,3,2,1,1,6,6,2,4,4,3,1,1,1,2,2,1],[
1,6,48,3,18,5,15,4,12,4,24,18,36,3,24,4,60,18,12,24,24,24,24,24,1,18,24,15,15,
12,24,9,24,18,24,60,2,18,10,30,12,24,32,20,24,6,24,12,24,24,12,12,1,24,12,12,
12,24,12,6,6,36,12,9,12,12,30,18,12,12,30,9,36,1,24,3,1,3,4,12,24,12,24,12,24,
12,24,12,24,24,12,24,24,48,12,48,24,24,48,24,24,5,9,24,12,6,18,30,30,12,6,6,3,
24,3,6,6,12,12,12,12,24,4,12,24,24,8,16,16,12,16,16,40,16,8,40,1,12,12,24,6,
12,6,12,6,12,12,12,6,12,6,24,4,12,3,12,12,12,1,12,3,12,12,6,12,12,6,6,24,3,12,
4,30,6,12,12,6,9,12,6,3,12,3,12,3,3,12,12,12,12,12,12,12,24,12,3,12,3,6,12,6,
24,6,24,48,2,6,12,12,12,24,24,12,12,12,2,10,6,6,12,12,12,12,12,24,12,12,6,6,
12,12,16,8,16,4,16,8,4,16,4,16,16,6,16,16,8,5,12,6,12,6,6,6,12,6,6,3,6,6,12,6,
6,1,12,6,12,3,6,3,6,6,1,3,6,6,6,3,6,6,1,12,1,4,12,6,3,12,3,12,3,12,3,6,6,6,6,
3,3,12,12,6,12,12,12,12,4,12,8,8,4,4,8,4,8,4,2,4,3,4,4,10,4,2,10,6,3,6,6,6,6,
3,6,3,6,6,1,6,3,3,3,3,3,6,3,3,2,6,4,4,4,4,1,4,2,4,2,1,4,1,4,4,4,4,3,3,3,3,1,3,
3,4,2,1,2,2,1,1,2,3,1,1,1,1],[1,6,48,3,18,13,39,64,12,4,24,18,36,3,24,12,12,
18,36,24,24,24,24,24,1,18,24,39,39,12,24,9,72,18,72,12,14,126,6,18,84,64,64,
64,24,6,24,12,24,24,12,12,1,24,12,12,12,24,12,6,6,36,12,9,12,36,6,18,12,36,6,
9,36,3,9,3,9,12,36,24,12,24,36,36,12,24,24,12,24,24,48,12,48,24,24,48,24,24,
13,9,72,12,42,126,18,18,12,6,18,9,9,18,18,36,36,36,36,72,2,6,6,42,18,36,18,84,
18,18,36,36,24,2,18,24,6,6,16,64,16,48,32,96,12,12,24,6,12,6,12,6,12,12,12,6,
12,6,24,4,12,3,12,12,12,3,9,12,12,6,12,12,6,6,24,3,12,12,6,6,12,12,6,9,12,6,9,
9,9,9,36,36,12,12,12,36,12,12,9,9,18,36,18,18,24,6,18,36,36,6,12,18,36,18,18,
12,12,12,12,24,24,12,12,12,24,24,24,24,24,24,24,24,14,6,18,18,36,36,12,6,18,
18,42,18,36,18,36,12,12,6,18,12,36,18,18,18,36,18,18,36,18,36,36,36,36,18,36,
12,18,36,18,18,12,36,36,36,36,16,16,16,16,16,16,16,16,48,32,96,16,16,48,48,12,
6,12,6,6,6,12,6,6,3,6,6,12,6,6,12,12,12,12,1,12,6,12,9,9,1,6,9,6,6,6,6,3,6,6,
12,12,12,12,3,3,12,12,6,3,12,9,9,36,3,18,18,36,18,6,18,6,36,18,9,9,6,18,6,18,
36,36,12,12,12,12,12,12,12,12,12,12,12,12,2,6,6,12,2,18,36,18,18,36,12,18,12,
12,12,12,12,12,12,12,12,18,36,18,6,12,12,6,16,4,16,8,16,16,16,16,16,6,3,6,6,6,
12,6,3,6,3,6,6,6,6,12,3,3,3,3,9,3,3,3,6,6,6,6,6,6,6,18,18,6,6,6,12,12,12,12,
12,12,12,12,4,4,4,4,12,8,4,4,24,12,12,3,3,3,6,6,1,3,3,3,6,6,4,4,4,4,4,4,4,3,1,
1],[1,18,3,54,25,75,16,6,4,12,54,54,36,36,27,54,162,162,1,54,75,75,36,24,81,
324,162,324,26,234,30,90,156,16,48,48,16,16,48,48,12,18,36,18,54,12,36,1,12,
12,36,36,36,6,36,36,18,54,36,36,81,162,162,162,72,162,162,324,9,36,36,72,18,
36,27,81,3,9,36,108,324,108,324,25,81,324,78,234,90,90,324,6,162,81,81,18,18,
108,108,108,108,648,2,18,30,42,54,180,90,84,90,90,108,108,2,18,6,6,4,48,16,48,
16,48,48,48,48,48,48,48,96,8,36,6,36,6,36,54,54,18,36,3,6,54,18,36,4,36,3,36,
12,36,18,36,72,3,9,12,36,18,36,36,18,72,3,18,18,27,54,162,162,9,36,18,81,81,9,
9,108,108,324,36,36,81,18,162,36,324,9,9,18,36,18,18,9,18,18,18,54,54,108,108,
6,18,36,18,18,26,30,162,18,108,108,6,54,90,42,54,180,90,108,6,18,108,36,18,18,
54,108,108,54,54,108,108,54,108,108,108,108,18,36,18,36,18,18,36,36,36,36,4,
12,12,4,4,12,12,16,48,48,16,16,48,48,24,8,24,8,8,24,24,8,12,18,36,3,18,18,18,
9,18,54,18,9,18,36,6,18,1,12,18,36,9,9,9,18,1,3,9,9,6,6,18,9,18,18,9,36,6,18,
27,3,36,81,18,9,9,36,9,54,54,54,54,108,18,18,36,18,18,54,54,54,54,18,18,9,9,9,
9,18,18,36,36,18,18,18,18,2,18,30,2,54,108,108,54,18,36,18,36,108,12,18,36,18,
6,6,12,4,12,4,12,12,12,12,12,12,12,24,16,8,24,24,24,24,24,24,24,8,24,24,24,24,
24,6,9,18,3,9,3,6,9,18,18,18,18,9,9,3,9,3,9,9,9,9,9,18,3,9,18,18,18,9,9,18,18,
6,54,54,18,18,18,18,18,18,18,18,18,4,12,12,4,4,12,12,1,8,8,8,8,24,24,24,24,3,
9,9,6,18,1,3,9,9,6,18,4,3,1,3,8,3,1,3,3,1],[1,6,48,3,18,13,39,16,12,4,24,18,
36,3,24,12,12,18,36,24,24,24,24,24,1,18,24,39,39,12,24,9,72,18,72,12,14,126,6,
18,84,32,48,32,16,48,24,6,24,12,24,24,12,12,1,24,12,12,12,24,12,6,6,36,12,9,
12,36,6,18,12,36,6,9,36,3,9,3,9,12,36,24,12,24,36,36,12,24,24,12,24,24,48,12,
48,24,24,48,24,24,13,9,72,12,42,126,18,18,12,6,18,9,9,18,18,36,36,36,36,72,2,
6,6,42,18,36,18,84,18,18,36,36,24,2,18,24,6,6,4,16,32,32,16,16,16,48,16,48,8,
12,12,24,6,12,6,12,6,12,12,12,6,12,6,24,4,12,3,12,12,12,3,9,12,12,6,12,12,6,6,
24,3,12,12,6,6,12,12,6,9,12,6,9,9,9,9,36,36,12,12,12,36,12,12,9,9,18,36,18,18,
24,6,18,36,36,6,12,18,36,18,18,12,12,12,12,24,24,12,12,12,24,24,24,24,24,24,
24,24,14,6,18,18,36,36,12,6,18,18,42,18,36,18,36,12,12,6,18,12,36,18,18,18,36,
18,18,36,18,36,36,36,36,18,36,12,18,36,18,18,12,36,36,36,36,8,12,4,8,12,16,16,
16,16,16,16,16,24,8,24,8,12,6,12,6,6,6,12,6,6,3,6,6,12,6,6,12,12,12,12,1,12,6,
12,9,9,1,6,9,6,6,6,6,3,6,6,12,12,12,12,3,3,12,12,6,3,12,9,9,36,3,18,18,36,18,
6,18,6,36,18,9,9,6,18,6,18,36,36,12,12,12,12,12,12,12,12,12,12,12,12,2,6,6,12,
2,18,36,18,18,36,12,18,12,12,12,12,12,12,12,12,12,18,36,18,6,12,12,6,4,8,8,4,
4,12,4,12,4,16,8,24,24,24,16,6,3,6,6,6,12,6,3,6,3,6,6,6,6,12,3,3,3,3,9,3,3,3,
6,6,6,6,6,6,6,18,18,6,6,6,12,12,12,12,12,12,12,12,4,4,4,4,4,4,4,1,8,8,8,8,3,3,
3,6,6,1,3,3,3,6,6,4,3,2,8,3,1,1,1,1],[1,18,1,18,25,25,16,6,4,12,18,18,12,12,
27,54,54,54,4,28,25,12,27,108,36,26,78,30,30,16,16,16,16,16,16,16,12,6,12,18,
18,4,12,1,12,4,12,12,12,6,12,12,6,36,6,36,27,54,18,18,54,54,3,12,6,27,27,3,3,
36,36,108,36,36,28,36,26,30,36,54,36,6,36,36,2,18,30,14,18,60,30,36,2,6,24,4,
16,16,16,16,16,16,16,16,16,16,16,8,12,6,12,6,12,18,18,6,3,6,18,6,12,12,4,1,12,
12,4,6,12,3,3,12,12,6,12,12,6,3,6,6,18,18,18,36,18,18,27,18,3,36,36,27,6,36,3,
3,12,12,3,18,18,18,18,36,6,6,12,12,12,2,18,30,12,2,12,18,36,36,18,6,12,6,12,4,
4,4,4,4,4,4,16,16,16,16,16,16,16,8,8,8,8,8,8,8,8,12,6,12,3,6,18,6,3,6,18,6,3,
6,6,6,6,12,1,12,3,3,3,1,3,3,3,6,6,6,3,6,6,3,6,6,18,3,3,18,6,18,18,6,6,18,18,6,
6,6,6,6,6,6,6,12,12,12,12,4,4,4,4,4,4,4,4,4,4,4,16,8,8,8,8,8,8,8,8,6,3,6,3,3,
6,6,6,6,6,6,3,3,1,3,3,3,3,3,6,6,6,6,6,6,4,4,4,4,4,4,4,1,8,8,3,3,3,3,3,1,3,4,1,
1,1,3,1,1,1,1],[1,6,48,1,30,13,37,16,12,4,24,6,12,12,24,3,24,12,12,30,24,24,
24,24,24,24,12,4,4,13,12,12,27,96,48,84,24,14,66,6,54,24,32,16,32,32,16,16,32,
24,6,24,12,24,24,12,4,24,1,24,4,24,12,12,24,12,6,12,6,12,3,12,12,6,12,6,6,12,
24,12,24,36,3,24,12,12,3,3,3,3,12,12,24,12,24,36,12,24,12,24,24,12,24,24,12,
24,24,48,24,24,12,36,4,14,12,6,24,60,30,12,12,12,6,60,12,24,24,96,2,6,6,14,30,
60,6,24,24,12,24,24,2,6,4,16,32,32,16,16,16,16,16,16,32,32,8,12,12,24,6,12,6,
12,12,6,12,12,6,12,6,24,12,4,1,12,12,4,12,24,3,3,12,12,6,12,12,6,6,24,6,12,12,
6,6,12,6,12,12,6,3,6,3,12,12,12,12,12,12,12,12,6,12,6,12,24,3,3,12,12,6,6,24,
6,6,12,12,6,12,6,12,24,12,12,24,24,24,24,24,12,24,2,6,6,12,24,12,2,12,30,24,
12,6,12,36,12,24,24,6,12,12,6,8,4,8,4,8,4,8,16,16,16,16,16,16,16,8,16,8,8,16,
8,12,6,12,6,6,6,12,6,6,3,6,6,12,6,6,12,12,6,12,1,12,3,3,6,6,1,6,3,6,6,6,3,6,6,
12,12,3,6,12,3,6,6,12,6,6,6,6,6,6,12,6,6,6,6,3,3,6,6,6,12,6,6,12,12,12,12,12,
12,12,12,4,8,8,4,4,4,4,4,4,8,8,16,8,8,8,8,16,8,8,16,6,3,6,6,6,6,6,6,6,6,6,12,
3,3,1,3,3,3,6,6,6,6,6,6,6,6,12,4,4,4,4,4,4,4,1,8,8,3,3,3,3,3,1,3,4,1,2,2,3,1,
1,1,1],[1,42,15,54,3,45,2,4,16,16,2,90,162,21,90,162,9,45,81,27,1,45,21,27,54,
48,12,12,8,6,24,6,36,18,60,48,28,36,48,144,144,6,6,18,36,54,45,162,81,21,90,
81,27,15,81,45,81,27,81,8,1,16,8,16,36,48,24,48,72,36,72,6,36,36,6,36,36,24,6,
36,2,24,24,6,18,18,18,18,18,36,60,36,108,144,18,2,18,18,18,6,1,4,4,27,45,81,
81,81,9,27,6,12,8,32,32,24,24,2,16,1,3,3,6,6,48,48,8,24,24,48,18,36,36,24,72,
24,24,36,36,36,6,18,18,6,24,18,18,8,24,18,36,36,6,18,18,36,18,18,18,36,15,12,
6,18,18,18,7,9,12,36,36,4,27,12,3,12,6,6,6,6,6,12,12,32,24,24,48,24,6,1,6,48,
3,3,1,3,6,3,6,3,3,6,2,4,24,2,4,18,18,18,24,36,36,36,18,18,18,6,18,9,15,27,36,
8,8,4,4,4,6,6,12,3,6,3,3,6,3,6,6,6,6,6,24,8,2,4,6,3,6,6,1,3,3,3,3,3,6,2,8,6,6,
12,12,6,2,6,12,18,9,8,4,8,4,4,1,6,3,6,3,3,3,3,6,6,8,6,12,1,12,3,6,6,6,4,2,1,2,
1,1,3,6,2,1,2,1,1,1],[1,15,3,45,6,18,2,4,16,16,2,9,9,45,81,27,9,27,1,45,18,18,
54,54,54,8,6,24,6,18,60,48,24,48,6,6,18,6,2,18,6,27,9,27,27,27,15,81,27,27,27,
27,54,6,54,8,1,16,8,16,24,6,36,2,24,18,18,18,36,36,36,36,18,6,18,2,18,18,6,18,
6,18,18,36,1,4,4,9,27,27,9,27,9,27,32,24,2,16,1,3,3,2,6,6,24,8,24,16,8,18,36,
6,18,36,15,12,6,18,18,6,2,18,18,6,12,4,9,24,6,1,6,1,3,3,1,3,3,1,3,6,6,6,6,6,6,
2,4,24,2,4,6,9,9,9,6,8,4,8,8,2,4,3,6,1,3,3,3,1,3,3,3,3,3,6,2,6,6,6,6,2,4,9,4,
4,4,1,6,1,3,3,1,3,1,3,6,4,2,1,2,1,1,1,1,1],[1,15,36,3,45,2,4,16,16,2,9,54,45,
81,54,18,54,1,45,18,54,54,8,6,24,6,18,60,48,24,36,48,6,12,6,18,27,54,27,54,15,
81,27,27,27,18,54,108,8,1,16,8,16,24,6,36,2,24,18,18,18,36,36,36,36,36,18,36,
18,6,2,18,18,6,1,4,4,9,27,27,27,27,27,27,32,24,2,16,1,12,3,3,6,24,24,8,48,8,
18,36,6,18,36,15,12,18,18,18,6,18,6,18,6,12,4,27,24,6,1,6,6,3,6,3,6,6,1,3,6,6,
6,6,2,4,24,2,4,6,9,9,9,18,8,4,8,8,2,4,3,6,6,3,6,1,3,3,3,3,6,6,12,6,6,6,2,12,9,
4,4,4,1,6,1,3,3,3,3,3,3,6,4,2,1,2,3,1,1,1,1],[1,36,9,36,3,27,2,4,16,16,2,54,
18,54,9,54,27,27,18,54,1,27,18,18,36,12,6,6,18,36,24,24,48,36,48,6,12,6,18,54,
27,54,18,54,27,27,9,27,27,27,18,54,8,1,16,8,16,36,18,36,6,18,2,18,18,6,36,36,
36,36,18,36,18,6,2,18,18,6,1,4,4,27,27,27,9,27,27,27,12,8,24,24,1,12,3,3,48,
24,24,8,48,18,18,18,6,18,6,18,36,9,18,18,18,6,18,6,18,6,6,12,12,4,27,6,6,6,24,
1,6,3,3,6,6,1,3,6,6,2,4,24,2,4,18,9,9,9,18,8,4,8,6,3,6,6,6,6,3,3,1,3,3,3,6,6,
2,6,12,6,6,2,12,9,4,4,4,1,3,3,3,6,1,3,3,3,6,4,1,2,2,3,1,1,1,1],[1,6,9,54,3,27,
2,4,16,16,2,54,3,54,9,27,27,54,27,1,27,3,27,54,12,12,6,6,18,36,36,4,36,144,
144,6,6,18,36,27,54,54,3,27,27,9,27,27,27,27,27,27,8,1,16,8,16,6,36,36,6,36,
36,18,2,18,6,18,18,36,36,36,18,2,18,18,18,6,1,4,4,27,27,27,9,27,27,27,6,24,8,
24,1,3,3,6,48,8,24,24,48,6,18,18,6,18,18,6,18,18,18,36,9,6,18,18,18,1,9,36,36,
4,27,3,6,6,24,1,3,3,6,1,3,3,3,3,6,2,4,24,2,4,18,18,9,9,9,4,4,4,3,3,3,6,6,6,3,
1,3,3,3,3,3,3,2,6,12,6,2,6,12,9,4,4,4,1,3,3,3,6,1,3,3,3,6,4,1,1,1,3,1,1,1,1],[
1,36,9,3,27,6,18,2,4,16,16,2,54,18,54,27,9,54,27,1,27,18,18,18,54,54,54,36,12,
6,6,18,36,24,24,48,48,6,6,18,6,2,18,6,27,54,54,18,54,108,9,27,27,27,27,27,6,
54,8,1,16,8,16,36,18,36,6,18,2,18,18,6,36,36,36,18,6,18,2,18,18,6,18,6,18,18,
36,1,4,4,27,27,27,9,27,27,27,12,8,24,24,1,3,3,2,6,48,24,8,24,16,18,18,18,6,18,
6,18,36,9,6,18,18,6,2,18,18,6,6,12,12,4,27,6,6,6,24,3,1,6,3,1,3,6,6,6,6,6,6,2,
4,24,2,4,18,9,9,9,6,8,4,8,3,6,6,6,6,12,6,1,3,3,3,3,3,2,6,2,6,12,6,6,2,4,9,4,4,
4,1,3,3,3,6,1,3,3,3,6,4,1,2,2,3,1,1,1,1],[1,6,9,90,3,27,6,18,2,4,16,16,2,54,3,
54,36,36,54,27,9,27,45,54,108,108,1,27,3,45,18,18,54,54,12,12,6,6,18,36,36,4,
60,24,144,36,48,144,48,6,12,6,18,36,6,2,18,6,27,54,54,3,27,18,18,108,27,9,27,
27,27,27,45,27,54,54,108,18,6,54,18,54,8,1,16,8,16,6,36,36,6,36,36,36,36,12,
12,18,2,18,6,18,18,36,36,36,24,72,36,18,36,36,36,144,18,6,18,6,36,36,2,18,18,
6,18,18,6,18,18,6,6,18,18,36,1,4,4,27,27,27,18,54,27,27,9,27,54,54,6,24,8,24,
1,12,3,3,6,2,6,48,8,24,24,8,24,8,24,48,48,16,6,18,18,6,18,18,18,18,6,6,36,36,
36,36,6,18,18,18,36,9,18,18,18,18,18,18,6,18,18,18,18,6,18,18,18,6,18,6,2,18,
18,18,18,18,18,18,18,6,1,15,6,36,12,36,12,4,27,3,6,6,12,12,24,6,3,1,3,6,6,12,
12,1,3,6,3,6,3,6,3,6,6,2,4,24,24,8,24,24,24,24,48,2,4,18,18,18,6,18,18,18,18,
9,9,9,18,18,18,18,6,18,18,18,6,18,36,4,4,8,4,8,3,3,3,6,6,6,6,12,6,3,1,3,3,3,3,
6,6,6,6,6,3,2,3,6,6,6,6,2,6,12,24,6,6,2,2,6,6,2,12,12,4,18,9,4,8,4,4,8,1,3,6,
3,3,6,6,3,3,1,3,6,6,6,6,6,6,6,2,6,12,4,1,2,1,1,2,3,6,1,1,1,2,2,1],[1,18,3,54,
3,9,5,4,40,64,8,54,9,54,1,54,9,9,27,54,1,9,9,27,6,72,6,15,3,18,9,12,24,12,36,
24,72,24,18,27,54,9,27,3,27,3,9,27,27,27,27,54,20,4,64,32,64,36,3,18,18,5,36,
3,9,9,9,9,1,18,9,18,6,1,4,8,2,8,16,36,36,72,72,8,1,10,16,24,48,9,27,27,1,9,27,
27,24,4,48,12,12,12,96,36,18,3,9,9,6,18,3,9,9,9,3,9,9,9,18,3,12,6,24,3,6,3,9,
6,18,16,9,12,12,4,12,4,12,5,16,1,8,24,4,8,8,16,8,16,9,9,3,9,1,9,3,9,1,9,1,2,2,
2,4,9,9,18,18,16,12,6,4,1,12,3,3,24,3,12,24,9,3,3,6,4,4,3,3,1,3,1,2,3,1,2,2,4,
4,4,3,1,3,6,1,1],[1,21,3,63,5,4,40,64,8,1,9,9,63,9,81,27,1,63,6,54,18,15,54,3,
9,84,24,24,24,72,9,3,27,27,27,27,27,21,9,81,27,54,20,4,64,32,64,54,3,18,5,54,
9,9,9,18,1,9,9,3,6,1,4,8,2,8,16,36,36,72,8,72,1,10,16,24,48,27,1,27,9,27,9,27,
72,12,4,12,12,96,18,9,18,3,9,3,9,3,9,9,9,9,9,18,3,3,9,36,6,6,18,21,6,24,16,9,
12,4,12,12,4,12,5,16,1,8,24,4,8,8,16,8,16,3,9,9,1,3,9,9,9,1,9,1,2,2,2,4,18,18,
9,9,16,12,18,4,3,3,1,3,12,24,24,3,3,9,6,4,4,3,1,3,1,2,3,3,1,2,2,4,4,4,3,1,3,6,
1,1],[1,36,3,3,9,5,4,40,64,8,18,18,18,1,18,9,9,1,9,18,6,18,36,24,15,3,9,12,24,
24,96,24,18,9,18,18,18,36,3,9,3,9,9,9,20,4,64,32,64,18,18,18,12,5,18,12,9,9,1,
9,18,6,18,1,4,8,2,8,16,12,12,8,1,10,16,24,48,9,9,9,1,9,9,9,24,16,24,12,12,96,
18,9,18,18,18,36,12,3,9,3,9,9,9,6,3,12,24,6,3,6,6,24,24,16,9,12,12,4,12,4,12,
5,16,1,8,24,4,8,8,16,8,16,9,9,9,1,9,9,9,3,1,3,1,2,2,2,4,3,3,16,12,12,4,6,3,24,
3,6,24,24,4,9,3,3,6,4,4,3,1,3,1,2,3,3,1,2,2,4,4,4,3,3,6,1,1,1],[1,18,6,54,9,8,
1,16,64,32,9,54,54,2,9,54,9,27,18,27,54,6,72,12,24,36,6,48,6,18,9,24,72,9,27,
27,18,54,6,27,27,27,27,9,27,54,8,16,64,32,64,36,36,8,36,36,2,2,4,16,16,32,3,3,
18,18,9,9,18,9,72,72,18,18,6,24,48,27,9,27,1,27,9,27,48,4,24,24,12,96,36,18,
12,3,6,9,3,6,6,9,6,12,18,24,9,9,9,9,18,9,9,9,18,16,9,12,12,8,12,12,8,16,2,16,
16,32,24,9,9,2,9,9,9,3,1,9,3,18,4,18,2,4,9,9,16,12,4,12,12,24,1,6,6,3,24,9,3,
3,6,8,3,3,2,3,3,1,4,2,4,4,4,3,1,3,6,1,1],[1,42,9,8,1,16,64,32,2,36,36,27,18,6,
18,48,24,42,48,9,96,36,6,9,36,18,9,9,36,8,16,64,32,64,24,8,24,2,2,4,16,16,32,
36,36,27,18,6,18,24,48,18,1,18,9,9,48,24,16,96,24,12,6,36,6,12,48,9,36,18,9,9,
36,24,16,9,24,8,24,8,16,2,16,16,32,24,6,2,6,18,1,18,4,2,4,9,9,16,24,8,12,6,48,
24,6,9,6,8,6,2,6,1,4,2,4,8,6,1,6,1,1],[1,6,21,8,1,16,64,32,2,9,18,24,18,24,6,
48,21,96,48,16,6,9,18,3,9,18,8,16,64,32,64,8,2,2,4,16,16,32,9,18,24,18,24,48,
1,9,9,24,16,16,48,32,6,6,12,9,18,3,9,18,12,12,24,16,3,8,8,16,2,16,16,32,24,2,
1,4,2,4,9,9,16,6,12,12,3,3,1,6,8,2,1,4,2,4,1,3,1,2,1,1],[1,22,25,30,3,75,10,
50,90,11,50,90,5,30,15,15,30,75,45,135,45,15,30,1,75,11,15,30,30,90,6,40,20,
20,30,60,10,20,30,30,30,30,25,30,90,30,10,30,45,30,30,11,50,45,60,15,15,45,30,
15,30,45,45,45,45,15,25,45,15,135,15,45,25,45,90,15,45,30,60,12,6,18,18,12,20,
40,20,40,40,20,40,10,20,20,60,10,60,10,60,20,10,30,10,30,10,30,60,5,30,15,30,
15,30,15,30,25,15,45,15,5,15,45,45,15,15,45,5,15,45,5,15,15,15,15,15,15,45,15,
15,15,45,15,15,15,15,15,15,6,12,12,12,18,6,18,6,18,6,6,6,12,10,20,20,20,40,20,
20,20,20,20,10,10,20,10,10,20,20,30,60,20,10,10,30,20,10,10,10,10,5,15,15,15,
15,15,15,15,15,15,5,15,15,15,15,15,15,15,6,6,6,12,12,6,6,6,18,6,18,6,6,10,10,
10,20,20,20,20,10,5,10,10,10,10,10,5,15,5,5,15,5,1,15,6,6,6,6,6,6,6,10,5,5,5,
5,5,5,5,2,2,1,3,3,6,5,2,1,2,1,3,1,3,1,1,1,1,1,1,1,1,1,1],[1,2,15,50,3,45,10,
30,10,30,1,30,20,20,30,5,15,30,45,45,45,30,15,45,25,30,60,30,60,1,45,1,25,30,
30,30,30,90,90,6,20,20,10,20,30,30,20,10,10,30,30,30,15,30,10,30,30,30,1,15,
10,10,60,30,15,30,30,30,15,15,45,45,30,45,15,30,15,15,45,15,45,15,15,45,15,45,
45,90,25,15,30,30,30,60,10,60,60,10,90,10,30,12,6,18,18,12,10,20,20,20,20,20,
20,5,20,10,20,20,20,30,10,30,10,20,20,10,30,10,10,10,30,30,10,30,30,10,30,30,
60,15,30,30,15,15,5,15,15,15,30,30,10,30,15,15,15,15,15,15,5,15,45,45,5,15,15,
15,45,15,15,15,15,15,15,15,15,15,15,45,15,15,30,30,6,12,12,12,18,6,18,6,18,6,
6,6,12,10,10,10,10,10,10,10,10,20,20,20,20,10,15,5,15,10,10,10,10,10,10,10,10,
30,10,30,10,10,10,10,10,10,10,10,10,30,30,10,10,10,10,10,10,15,15,15,5,15,15,
15,15,15,15,15,15,15,15,15,6,6,6,12,12,6,6,6,18,6,18,6,6,5,10,10,10,10,10,10,
10,10,10,5,5,5,15,15,5,10,10,10,10,10,10,10,10,1,15,6,6,6,6,6,6,6,5,5,5,10,5,
5,5,5,2,3,2,1,3,6,5,1,2,2,1,1,1,3,1,3,1,1,1,1,1,1,1,1],[1,84,21,1,56,28,126,
14,21,28,21,84,168,84,28,8,63,21,63,28,42,14,21,84,14,28,24,63,28,28,28,8,16,
8,21,21,21,14,28,14,8,24,21,8,14,8,1,3,1,1],[1,9,15,135,11,1,22,40,20,135,5,
135,6,90,3,10,15,135,15,30,3,45,6,270,360,180,45,11,10,40,20,40,54,6,54,90,45,
5,45,5,5,10,10,10,20,45,45,90,90,6,6,12,30,1,10,30,15,45,10,20,30,60,120,60,
120,54,45,15,15,30,10,18,6,18,18,6,18,36,12,36,30,15,30,5,15,60,5,10,5,10,10,
20,6,10,10,10,18,18,36,1,15,5,15,30,6,6,6,10,5,9,6,1,1,2,5,3,3,6,1,1],[1,30,
15,11,1,22,40,20,45,5,45,6,60,60,30,10,15,15,30,10,60,45,11,10,40,20,40,6,45,
30,5,45,5,5,10,10,10,20,15,15,6,6,12,30,30,10,10,20,15,10,20,60,20,18,45,15,
15,30,10,6,6,12,30,10,15,5,15,5,10,5,10,10,20,6,10,10,10,18,6,1,15,15,30,5,6,
10,5,3,6,1,1,2,5,3,1,1,1],[1,45,11,1,22,40,20,5,45,45,6,50,45,45,90,60,45,11,
10,40,20,40,6,45,5,15,5,5,10,10,10,20,45,45,6,6,12,50,45,20,40,10,60,18,15,15,
45,30,10,6,6,12,45,5,15,10,5,10,5,10,10,20,6,20,10,6,18,1,15,5,15,30,6,10,5,3,
6,1,1,2,5,1,3,1,1],[1,45,20,1,40,40,20,15,15,45,36,60,45,60,45,20,10,40,20,40,
36,15,15,30,15,45,30,15,36,60,10,60,15,45,15,10,36,10,15,15,10,6,6,15,15,10,6,
6,1,1],[1,12,6,36,3,18,9,27,8,32,6,36,6,6,36,36,36,2,6,36,18,18,9,18,18,18,54,
54,18,36,36,18,36,1,18,6,18,27,27,12,6,27,108,54,108,18,6,54,36,48,8,24,24,24,
72,96,6,3,6,18,18,18,18,12,18,36,36,18,36,6,6,18,18,18,12,18,36,72,6,6,18,18,
3,18,18,18,18,18,18,18,6,18,3,18,3,18,27,9,54,9,54,9,54,9,54,18,54,108,9,18,
27,36,18,36,108,18,36,108,18,18,18,18,36,18,18,36,18,18,36,36,36,36,9,27,108,
18,18,18,54,108,18,54,27,18,27,216,16,24,24,24,4,24,24,8,24,4,72,12,72,12,8,
24,72,24,24,48,24,2,16,32,24,3,18,18,3,3,9,9,9,9,18,18,6,18,18,18,36,6,6,18,
18,18,18,18,18,36,36,18,18,36,36,18,18,2,3,6,18,9,18,9,1,18,6,18,18,12,6,3,3,
9,9,9,9,18,18,18,36,18,18,9,18,18,18,36,36,9,9,18,9,54,9,54,9,9,9,9,9,9,18,9,
9,9,9,27,9,27,9,18,18,18,108,18,18,18,27,54,18,108,18,18,36,18,36,18,18,6,54,
36,32,48,24,12,24,24,24,48,12,4,12,12,8,24,24,12,12,12,12,24,12,72,12,12,12,
24,2,6,6,6,18,48,72,3,9,9,6,18,9,9,9,9,3,9,9,9,18,6,18,6,6,12,18,18,36,6,9,9,
9,3,3,9,3,18,9,3,18,9,9,9,9,9,9,9,18,9,9,9,9,9,9,18,27,9,9,18,9,18,9,9,18,16,
16,16,8,12,12,12,6,6,6,12,4,12,8,12,12,12,12,4,12,1,6,6,2,1,6,18,3,18,3,2,6,6,
18,6,12,6,16,2,24,9,3,9,3,9,3,9,1,9,3,3,9,3,9,9,16,8,24,8,12,6,3,6,6,6,12,4,1,
3,3,2,6,6,3,3,3,3,6,3,3,18,3,3,6,6,3,4,8,4,4,4,1,3,3,3,3,1,3,2,3,3,1,3,3,3,2,
4,4,2,3,3,1,1,1,1,1],[1,24,42,72,1,42,9,9,8,32,84,216,12,84,216,72,72,2,12,36,
36,72,42,6,108,36,27,108,18,36,54,18,36,72,72,108,72,9,27,36,6,18,18,18,96,16,
48,8,48,24,48,24,96,32,96,12,72,72,42,12,216,72,108,36,108,36,24,72,108,72,72,
72,72,72,108,216,72,72,36,108,144,36,2,36,6,36,6,72,6,72,36,36,36,36,36,36,9,
72,36,36,36,36,36,72,18,36,36,36,36,72,36,72,27,54,18,18,18,36,18,27,36,18,9,
36,9,9,9,36,36,72,36,72,36,36,36,36,72,72,6,18,18,18,36,36,16,48,96,48,96,96,
48,96,8,48,48,48,24,48,24,24,24,8,48,24,24,24,48,48,2,16,96,24,72,6,72,36,36,
36,72,18,72,72,72,36,72,36,72,72,54,18,36,36,54,72,36,12,36,36,36,36,36,36,36,
72,12,72,12,72,36,72,72,72,36,36,36,72,36,72,72,72,36,18,36,6,18,18,1,36,18,
12,6,18,36,36,36,72,18,18,36,36,36,18,36,36,18,36,72,9,36,36,18,36,9,18,9,36,
18,18,36,9,18,18,18,18,18,36,36,9,18,9,36,36,9,18,36,9,18,9,36,9,36,36,64,16,
16,16,48,24,48,48,48,48,48,48,96,48,24,24,16,48,48,48,24,24,48,24,8,24,24,24,
24,48,24,4,12,2,12,6,12,6,16,48,48,24,24,24,36,36,72,18,36,12,36,36,36,9,36,
36,72,18,18,18,36,36,36,36,36,6,18,18,18,12,36,36,36,18,18,36,36,36,36,36,36,
18,9,36,18,1,18,18,6,9,36,18,18,18,18,36,18,18,9,18,36,18,9,9,9,18,9,9,9,32,
32,32,16,8,24,48,48,24,24,48,48,12,24,12,24,24,12,24,8,24,24,24,2,12,12,12,6,
12,6,6,6,2,12,6,12,6,6,12,48,2,24,18,18,36,6,18,18,36,9,18,18,18,18,9,18,9,16,
16,8,8,16,8,24,12,6,12,12,12,12,12,12,24,12,6,4,12,12,12,6,6,12,6,2,6,6,6,6,
12,6,2,6,6,9,8,16,16,8,8,1,6,12,12,6,6,12,12,2,6,6,6,6,8,4,1,1,1,6,2,2,2,1,
1],[1,12,6,36,1,78,9,9,8,32,6,36,6,6,36,36,36,2,6,36,6,6,72,72,9,18,18,18,18,
18,18,36,36,18,36,36,6,18,9,6,72,45,36,36,18,6,18,36,48,8,8,96,24,24,24,32,
192,6,3,6,18,18,18,18,12,18,36,36,18,36,36,36,18,18,72,2,72,6,18,6,3,18,18,18,
18,18,18,18,3,36,18,36,3,18,9,9,18,9,9,9,72,18,18,18,18,72,36,72,36,36,9,18,9,
18,36,18,36,36,18,18,18,36,18,36,72,18,72,18,18,18,6,18,18,18,18,18,18,72,36,
36,16,24,24,24,4,24,24,48,24,4,24,12,12,48,48,8,24,24,48,24,24,24,2,16,96,24,
3,18,18,18,18,9,9,18,18,6,18,18,18,36,6,6,18,18,18,18,18,18,36,36,3,36,6,6,9,
9,36,36,1,18,6,6,36,18,6,18,18,9,9,18,18,18,36,18,18,9,18,18,18,9,9,9,18,36,
18,9,18,18,18,18,9,9,9,9,9,9,18,18,36,36,9,36,18,18,18,18,36,36,18,18,36,36,
36,36,36,36,32,16,32,24,12,24,24,24,12,24,12,8,24,24,24,12,12,8,12,12,24,12,
12,48,48,48,2,2,24,6,6,6,16,96,24,48,18,9,6,18,9,18,9,3,9,9,9,6,18,18,18,18,
18,9,18,18,3,1,9,3,9,18,3,18,36,36,9,18,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,18,36,
16,16,16,8,12,12,12,6,6,6,12,4,12,24,12,12,12,12,4,12,1,6,6,1,12,6,6,3,3,12,
12,2,6,6,6,12,6,6,48,2,24,9,3,9,9,9,9,9,3,9,9,9,9,9,9,9,16,8,8,8,16,12,6,3,6,
6,6,12,6,3,2,6,3,6,6,3,2,3,3,3,6,3,12,12,12,2,12,9,4,4,4,8,4,1,3,3,3,3,1,3,1,
3,6,3,3,3,3,6,4,4,2,1,2,3,3,1,1,1,1],[1,12,42,36,33,8,32,42,108,36,2,6,36,36,
36,27,54,90,90,36,42,54,48,8,48,24,24,96,96,32,6,36,36,54,90,12,36,36,36,36,
36,6,18,36,18,18,9,36,36,36,18,18,27,54,27,108,108,36,6,54,54,36,18,16,24,48,
48,24,24,8,24,24,24,2,16,96,24,36,18,9,36,18,6,54,18,54,36,36,18,1,18,18,6,18,
18,18,9,27,27,18,9,9,54,18,54,18,36,36,32,16,32,24,24,24,12,8,24,24,24,2,12,6,
6,48,24,24,24,18,6,18,27,18,18,9,18,6,9,18,9,27,9,9,18,18,16,16,16,8,24,6,12,
12,6,6,2,6,6,6,2,24,9,9,9,9,9,9,9,16,8,8,8,6,6,6,2,6,6,6,6,6,2,9,8,1,6,6,2,1,
2,1,1,1,1],[1,12,42,36,9,24,8,32,42,108,36,2,6,36,36,36,27,54,18,90,72,36,6,
36,18,36,48,8,48,24,24,96,96,32,6,36,36,54,18,72,12,36,36,36,36,36,6,18,36,18,
18,9,36,36,36,18,18,9,54,18,9,18,36,72,36,72,36,6,18,36,18,36,36,18,16,24,48,
48,24,24,8,24,24,24,2,16,96,24,36,18,9,36,18,6,18,18,36,18,36,36,36,18,1,18,
18,6,18,18,18,9,9,27,18,18,9,9,18,18,36,18,18,36,36,36,32,16,32,24,24,24,12,8,
24,24,24,2,12,6,6,48,24,24,24,18,6,18,9,18,18,18,9,18,6,9,18,9,9,9,9,18,18,18,
16,16,16,8,24,6,12,12,6,6,2,6,6,6,2,24,9,9,9,9,9,9,9,16,8,8,8,6,6,6,2,6,6,6,6,
6,2,9,8,1,6,6,2,1,2,1,1,1,1],[1,12,6,36,36,9,24,8,32,6,36,36,72,36,2,6,36,36,
36,9,18,18,18,36,36,18,72,72,6,36,54,48,8,48,24,24,96,96,32,6,36,36,18,18,12,
36,36,36,36,36,72,36,6,18,36,18,18,18,36,36,9,36,18,9,18,9,36,36,36,72,18,36,
18,36,36,6,18,36,18,36,36,18,16,24,48,48,24,24,8,24,24,24,2,16,96,24,36,18,9,
36,18,6,18,18,18,36,36,36,36,18,1,18,6,18,18,18,9,18,9,18,9,9,18,18,9,18,18,
18,18,36,36,36,36,32,16,32,24,24,24,12,8,24,24,24,2,12,6,6,48,24,24,24,18,6,
18,9,18,18,18,9,18,6,9,18,18,9,9,9,9,18,18,16,16,16,8,24,6,12,12,6,6,2,6,6,6,
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,
12,6,36,36,9,24,8,32,6,36,36,72,36,2,6,36,36,36,9,18,18,18,36,36,18,72,72,6,
36,54,48,8,48,24,24,96,96,32,6,36,36,18,18,12,36,36,36,36,36,72,36,6,18,36,18,
18,18,36,36,9,36,18,9,18,9,36,36,36,72,36,18,18,36,36,6,18,36,18,36,36,18,16,
24,48,48,24,24,8,24,24,24,2,16,96,24,36,18,9,36,18,6,18,18,18,36,36,36,36,18,
1,18,6,18,18,18,9,18,9,18,9,9,18,18,9,18,18,18,18,36,36,36,36,32,16,32,24,24,
24,12,8,24,24,24,2,12,6,6,48,24,24,24,18,6,18,9,18,18,18,9,18,6,9,18,18,9,9,9,
9,18,18,16,16,16,8,24,6,12,12,6,6,2,6,6,6,2,24,9,9,9,9,9,9,9,16,8,8,8,6,6,6,2,
6,6,6,6,6,2,9,8,1,6,6,2,1,2,1,1,1,1],[1,48,16,72,3,48,3,9,4,4,32,96,216,24,96,
216,72,72,1,18,12,6,36,48,9,108,18,9,108,3,18,54,9,36,36,36,108,36,1,48,24,36,
9,9,6,18,72,27,18,54,18,18,48,24,8,12,24,4,24,12,64,32,32,48,12,96,96,18,72,
36,48,18,216,36,108,18,108,18,12,36,108,36,36,72,36,36,108,216,36,36,24,96,
108,36,36,36,108,36,72,6,3,18,1,18,3,36,9,36,18,18,18,18,36,18,3,36,6,36,18,
18,18,36,3,18,18,18,18,36,18,36,16,9,9,108,18,18,48,108,27,54,9,9,54,54,9,9,
36,9,18,9,18,27,18,108,36,9,18,18,6,18,36,108,36,18,108,36,36,72,18,72,36,36,
3,27,18,36,18,18,18,18,16,24,48,24,48,48,24,48,12,24,24,24,4,24,4,24,24,12,12,
12,12,12,12,24,1,4,8,64,12,48,144,24,24,36,72,12,12,96,48,24,1,8,24,36,9,36,
18,18,36,36,18,36,72,36,18,36,18,36,36,48,9,108,18,54,9,54,9,18,18,54,36,18,6,
18,18,18,6,36,6,36,18,36,36,36,108,108,18,18,36,18,18,108,108,18,18,36,18,36,
36,36,36,36,108,36,36,18,3,18,1,9,18,6,3,9,3,9,9,18,18,18,36,9,9,18,18,9,9,9,
9,18,12,18,18,36,9,18,18,36,18,18,36,9,18,36,6,18,18,18,18,9,18,18,18,18,9,36,
18,18,18,18,9,18,18,18,18,9,54,3,9,9,9,9,9,9,9,9,9,27,108,18,18,9,18,18,9,18,
54,54,9,9,18,18,18,36,18,36,18,36,16,32,32,16,16,12,24,24,24,48,24,24,24,24,
24,12,12,24,12,12,8,24,12,24,24,4,12,12,24,12,12,12,6,2,3,6,1,6,3,12,24,8,4,
12,24,8,24,48,24,72,12,24,24,12,12,12,48,24,24,24,24,24,12,12,16,8,24,8,12,3,
24,24,24,24,18,18,36,9,18,9,9,18,36,18,9,18,36,18,18,36,18,18,9,18,18,18,54,9,
9,9,54,18,9,3,9,9,9,6,18,18,6,18,18,18,18,18,18,36,18,18,36,18,18,18,18,18,18,
18,18,6,18,9,18,18,1,9,9,9,9,18,3,18,18,9,18,18,9,9,9,9,9,18,9,3,18,6,9,18,18,
9,18,18,9,18,18,18,3,18,9,18,9,18,9,9,9,9,9,32,16,16,32,16,4,4,12,12,12,6,24,
24,24,24,12,6,12,12,6,12,12,12,4,12,3,6,6,6,1,6,1,3,6,6,3,3,3,3,3,6,24,12,12,
24,4,24,1,2,12,24,12,12,12,24,12,6,16,3,36,6,9,18,3,3,24,24,12,6,18,9,18,9,9,
9,18,9,18,9,9,3,9,9,9,18,18,18,18,3,9,9,9,16,8,4,8,4,4,4,8,8,4,4,12,3,6,6,6,
12,6,6,6,6,6,3,6,3,3,2,6,3,6,6,1,3,3,3,3,6,3,12,6,3,2,1,3,6,2,6,12,6,3,12,6,6,
6,6,6,6,3,18,3,3,3,6,3,9,8,4,8,4,4,8,4,4,8,4,1,3,3,3,6,6,6,6,3,3,1,3,6,3,6,3,
1,6,3,6,3,6,3,3,4,4,2,1,2,1,1,3,3,2,1,2,1,1,1],[1,18,3,54,9,27,4,4,32,2,12,12,
54,18,108,36,15,18,90,54,1,54,27,27,12,72,45,108,90,108,6,54,6,18,36,8,12,24,
12,36,72,96,36,12,6,36,6,18,36,36,3,12,36,36,36,36,6,36,36,18,18,108,36,45,54,
90,54,72,54,54,108,27,36,108,72,18,36,9,27,3,9,12,36,108,36,108,9,45,108,18,
54,18,18,108,18,54,27,27,18,18,36,36,36,36,216,16,24,4,24,4,24,36,36,12,24,4,
36,12,4,24,1,8,8,32,48,48,60,72,24,24,1,8,24,36,6,36,2,36,18,18,18,36,1,6,18,
18,12,12,36,9,36,36,36,18,36,72,3,9,12,36,18,36,36,18,72,3,18,18,15,18,54,54,
27,36,18,27,27,9,9,36,36,108,36,36,27,18,54,36,108,9,9,18,36,18,18,9,18,6,6,
54,18,36,36,36,36,18,18,32,48,8,12,24,4,12,12,12,12,12,36,12,12,12,24,2,3,6,3,
9,48,24,24,12,48,24,36,12,48,18,24,72,9,12,18,36,3,18,6,18,3,18,18,18,9,18,36,
3,12,18,36,9,9,9,18,6,18,9,18,18,9,36,9,3,12,27,18,9,9,36,9,18,18,16,16,16,4,
4,4,12,12,4,4,12,12,6,1,6,1,6,9,9,3,6,1,1,9,3,6,24,4,24,8,2,2,8,24,12,12,12,
12,15,18,6,6,6,9,18,1,6,9,18,3,9,3,9,16,8,12,8,12,4,2,3,6,1,3,3,3,3,3,9,3,3,3,
6,12,12,6,6,3,12,6,9,3,12,3,4,4,4,4,4,4,1,1,3,3,1,1,3,3,6,1,6,2,3,3,4,4,2,3,1,
3,1,1,1,1],[1,16,72,3,48,3,9,4,4,32,1,6,12,6,36,48,9,108,18,9,36,3,54,54,9,36,
36,36,36,36,1,48,36,9,9,6,6,72,27,18,54,18,54,8,12,24,4,48,12,64,32,48,12,192,
6,3,18,1,36,3,36,3,36,18,18,36,18,3,36,6,36,18,18,18,3,18,18,18,18,36,18,16,9,
3,108,18,18,27,18,9,27,54,18,9,27,36,9,36,9,18,27,18,108,36,9,18,36,36,18,36,
36,6,36,18,36,36,18,36,36,72,18,72,72,36,36,3,27,18,18,18,18,18,36,16,24,4,24,
4,24,12,24,12,24,12,24,24,24,24,24,1,4,8,4,48,24,24,36,24,12,36,96,24,1,8,24,
18,3,18,1,18,3,18,3,18,9,18,18,6,18,6,18,18,36,3,18,9,9,18,18,18,18,12,18,18,
9,18,18,36,18,18,9,18,36,18,6,18,9,18,18,9,36,18,18,18,9,18,18,18,18,36,9,18,
3,27,9,18,9,18,9,9,27,18,18,9,9,18,18,18,18,18,18,36,18,18,18,18,18,18,36,36,
72,36,36,18,18,36,36,32,16,32,8,12,24,24,4,24,12,12,12,12,12,24,24,48,2,3,6,1,
12,3,24,4,24,8,48,24,12,12,24,24,12,12,24,24,16,8,24,12,3,48,48,6,9,18,18,1,
18,9,9,3,9,3,18,18,36,18,9,18,18,9,9,9,9,9,18,3,18,6,9,18,9,18,9,9,3,9,9,9,9,
9,9,9,9,18,18,9,9,18,9,18,9,36,16,16,16,4,4,4,12,12,12,12,12,12,6,1,6,1,6,3,6,
3,6,3,6,6,6,6,6,12,12,4,24,1,2,12,12,12,12,12,6,1,6,9,6,3,9,24,24,6,3,9,9,9,3,
9,9,9,9,9,9,9,9,9,9,16,8,4,8,8,4,8,12,2,3,6,6,1,6,3,3,3,3,3,6,6,12,12,6,1,6,2,
12,6,3,6,6,3,3,3,6,6,9,4,4,4,4,4,4,1,1,3,3,3,3,3,3,3,3,1,6,3,3,3,3,4,4,2,1,2,
3,3,1,1,1,1],[1,36,6,108,3,18,9,27,4,4,32,18,108,18,18,108,108,108,2,18,108,
18,18,9,54,18,54,54,54,54,108,108,54,108,1,18,18,54,27,27,12,18,27,108,54,108,
54,6,54,36,24,12,12,72,36,24,96,24,72,36,96,288,18,9,18,54,54,54,54,36,54,108,
108,54,108,18,18,54,54,54,36,54,108,216,6,6,54,18,9,54,54,54,54,54,54,54,6,18,
9,54,9,54,27,27,54,27,54,27,54,27,54,54,54,108,9,54,27,108,54,108,108,54,36,
108,54,54,54,54,108,54,54,108,54,54,108,108,108,108,9,27,108,54,54,18,54,108,
54,54,27,54,27,216,16,12,72,72,4,12,36,36,36,36,4,72,36,72,24,1,8,8,32,12,12,
72,72,36,36,72,36,288,288,72,72,24,1,8,24,9,54,54,9,9,27,27,27,27,54,54,18,54,
54,54,108,18,18,54,54,54,54,54,54,108,108,54,54,108,108,54,54,2,9,18,18,27,18,
27,1,54,18,18,54,12,18,9,9,27,27,27,27,54,54,54,108,54,54,27,54,54,54,108,108,
9,27,18,27,54,27,54,27,27,27,27,27,27,54,27,27,27,27,27,27,27,27,54,54,54,108,
54,54,54,27,54,54,108,54,54,108,54,108,54,54,6,54,36,16,48,48,12,36,36,24,72,
12,36,36,36,12,36,36,36,72,6,3,3,18,9,12,24,24,36,24,24,72,96,36,36,36,36,72,
36,36,36,72,6,24,72,6,18,9,24,72,24,72,9,27,27,18,54,27,27,27,27,9,27,27,27,
54,18,54,18,18,36,54,54,108,6,27,27,27,9,3,27,9,18,27,9,54,27,27,27,27,27,27,
27,54,27,27,27,27,9,27,54,27,27,27,54,27,54,27,27,54,48,16,48,4,4,36,12,36,4,
36,12,36,3,18,18,1,3,9,9,9,9,1,18,9,18,6,36,12,4,36,12,72,8,72,2,2,8,24,36,36,
3,3,18,18,9,9,18,9,72,72,72,72,18,18,6,27,9,27,9,27,9,27,1,27,9,9,27,9,27,27,
16,4,12,12,4,12,12,12,3,9,9,6,18,3,9,9,9,3,9,9,9,18,12,24,3,6,6,9,6,6,18,24,
24,9,9,9,9,18,9,9,9,18,9,12,4,12,12,4,12,1,9,3,9,1,9,3,9,9,3,1,9,3,18,2,18,9,
9,4,4,1,3,3,3,3,6,3,1,3,1],[1,36,4,36,3,12,3,9,4,4,32,18,36,18,18,36,36,36,1,
24,6,12,9,18,3,18,3,36,18,9,18,18,1,12,18,18,9,9,6,24,9,18,18,18,36,6,18,24,
12,4,24,12,16,32,24,24,12,96,96,18,9,18,18,18,18,18,36,18,36,36,18,36,18,18,
18,18,18,36,18,36,3,1,18,3,12,36,18,18,36,18,3,18,4,9,12,18,9,18,9,9,9,18,18,
9,9,18,9,18,9,18,9,18,18,3,9,18,6,18,36,18,18,18,18,36,36,3,9,18,18,18,18,18,
36,18,18,18,16,12,24,24,4,12,12,12,12,12,12,4,24,24,1,4,8,12,16,24,24,12,12,
12,24,96,24,24,1,8,24,9,18,18,9,9,9,9,9,9,18,18,18,18,18,18,18,36,18,18,18,18,
18,36,18,18,36,36,1,9,3,9,3,9,3,6,9,6,12,9,18,18,9,18,9,18,18,18,18,18,6,18,9,
18,18,9,3,9,3,18,9,9,9,9,18,9,9,18,9,18,9,9,9,9,9,9,9,9,18,9,18,18,36,6,18,36,
16,16,16,12,12,12,24,24,4,12,12,12,12,12,12,12,6,3,1,6,3,12,4,12,24,8,24,12,
12,24,24,12,24,12,12,12,4,8,24,6,6,3,24,24,24,24,9,9,9,18,18,9,9,9,9,9,9,9,9,
18,18,18,18,18,18,1,9,9,9,9,3,9,3,18,9,9,9,9,9,9,9,9,18,3,9,9,9,9,3,9,9,9,9,9,
9,16,16,16,4,4,12,12,12,4,12,12,12,3,6,6,1,3,3,3,3,3,1,6,3,6,12,12,4,24,1,2,
12,12,12,12,6,3,4,6,3,3,3,6,24,24,6,6,9,9,9,9,9,9,9,3,3,9,9,9,9,9,9,16,4,4,4,
4,4,4,12,3,3,3,6,6,1,3,3,3,3,3,3,3,12,3,1,3,6,2,6,6,6,3,3,3,6,3,3,3,9,4,4,4,4,
4,4,1,3,3,3,1,3,3,3,3,3,1,6,3,3,3,3,4,4,1,1,1,3,3,1,1,1,1],[1,12,6,36,3,18,9,
27,4,4,32,6,36,6,6,36,36,36,2,6,36,18,18,9,18,18,18,54,54,18,36,36,18,36,1,18,
6,18,27,27,12,6,27,108,54,108,18,6,54,36,48,12,12,36,24,96,8,24,36,6,3,6,18,
18,18,18,12,18,36,36,18,36,6,6,18,18,18,12,18,36,72,6,6,18,18,3,18,18,18,18,
18,18,18,6,18,3,18,3,18,27,9,54,9,54,9,54,9,54,18,54,108,9,18,27,36,18,36,108,
18,36,108,18,18,18,18,36,18,18,36,18,18,36,36,36,36,9,27,108,18,18,18,54,108,
18,54,27,18,27,216,16,24,24,24,4,24,36,36,4,36,24,24,24,1,8,8,32,4,4,24,24,36,
12,72,12,24,24,24,1,8,24,3,18,18,3,3,9,9,9,9,18,18,6,18,18,18,36,6,6,18,18,18,
18,18,18,36,36,18,18,36,36,18,18,2,3,6,18,9,18,9,1,18,6,18,18,12,6,3,3,9,9,9,
9,18,18,18,36,18,18,9,18,18,18,36,36,9,9,18,9,54,9,54,9,9,9,9,9,9,18,9,9,9,9,
27,9,27,9,18,18,18,108,18,18,18,27,54,18,108,18,18,36,18,36,18,18,6,54,36,32,
48,24,12,24,24,24,48,12,12,12,12,36,12,12,3,3,9,4,8,24,12,24,12,12,12,12,24,
12,36,12,24,6,24,72,2,6,9,3,9,9,6,18,9,9,9,9,3,9,9,9,18,6,18,6,6,12,18,18,36,
6,9,9,9,3,3,9,3,18,9,3,18,9,9,9,9,9,9,9,18,9,9,9,9,9,9,18,27,9,9,18,9,18,9,9,
18,16,16,16,4,4,12,12,12,6,6,6,4,12,12,12,1,6,9,9,1,6,9,6,6,12,4,4,12,4,8,2,2,
8,24,12,12,1,1,6,6,9,3,18,3,6,6,6,9,3,9,3,9,3,9,1,9,3,3,9,3,9,9,16,8,12,8,12,
12,6,3,6,6,6,12,3,3,3,3,9,3,4,1,2,6,3,6,3,3,3,3,6,3,9,3,6,3,4,4,4,4,4,4,1,3,3,
3,1,3,3,3,3,1,1,3,1,2,3,3,4,4,2,3,3,1,1,1,1,1],[1,12,4,108,3,12,3,9,4,4,32,6,
36,6,6,36,36,36,1,6,72,12,9,18,3,54,3,36,18,9,54,72,72,54,72,1,12,6,54,9,9,6,
9,18,18,18,36,6,18,48,12,4,48,12,16,32,8,72,12,192,36,3,36,18,18,12,18,36,36,
18,36,6,6,18,18,18,18,72,3,1,36,3,18,36,3,18,36,36,36,36,4,9,36,18,3,18,9,27,
9,18,18,27,9,18,9,36,9,18,9,18,18,3,9,36,36,36,18,6,18,54,18,72,36,54,72,18,
36,72,72,72,36,36,3,9,18,18,36,18,18,18,18,18,18,16,24,24,24,4,24,12,24,12,24,
24,12,4,24,1,4,8,4,24,24,48,12,36,12,24,96,24,48,24,1,8,24,18,18,36,3,18,9,9,
18,6,18,18,18,6,6,18,18,18,18,18,18,18,18,36,36,1,6,3,18,3,18,18,3,9,18,6,18,
18,9,18,18,18,9,36,18,18,18,18,36,18,18,18,18,18,36,3,27,3,18,9,18,9,18,18,18,
18,9,9,9,9,9,9,9,18,36,18,18,18,18,9,18,18,36,36,36,36,36,72,36,36,6,18,36,32,
16,32,12,24,24,24,24,12,4,24,12,12,12,12,12,24,3,1,12,3,8,4,24,8,48,24,12,24,
24,12,24,12,12,24,4,8,24,48,2,18,3,48,48,18,9,18,18,18,9,9,3,9,9,9,18,18,6,6,
18,18,1,18,3,9,9,9,9,18,18,3,18,9,9,9,9,18,9,9,9,9,9,18,9,3,18,9,9,18,9,9,9,9,
36,36,16,16,16,4,4,12,12,12,6,6,6,12,4,12,12,1,6,3,6,3,6,6,1,3,6,4,12,12,24,1,
2,12,12,12,12,6,1,6,12,3,9,3,6,24,24,6,12,6,9,9,9,3,9,9,9,9,3,9,9,9,9,9,9,16,
8,4,8,8,4,8,12,3,6,6,6,6,1,6,3,3,3,3,3,6,12,2,1,6,2,12,6,6,3,3,6,6,3,3,6,12,9,
4,4,4,4,4,4,1,3,3,3,3,1,3,3,1,3,3,6,3,3,3,3,4,4,2,1,2,3,3,1,1,1,1],[1,42,3,
126,9,27,8,32,2,36,36,126,18,324,108,27,18,162,54,1,126,27,27,12,216,81,108,
162,108,6,54,18,54,36,48,24,144,24,72,96,96,288,36,6,108,6,18,108,108,9,36,
108,108,108,108,18,108,108,42,18,324,108,81,54,162,54,216,54,54,108,81,108,
324,216,54,108,9,27,9,27,36,108,108,36,108,9,81,108,18,54,54,54,108,54,54,27,
27,54,54,108,108,108,108,216,16,144,24,144,8,144,72,72,72,144,8,72,72,24,48,2,
16,288,32,288,24,108,18,108,2,108,18,18,54,108,1,18,18,54,12,36,108,27,108,
108,108,54,108,216,9,27,36,108,54,108,108,54,216,9,54,54,27,18,54,54,81,108,
54,27,27,27,27,108,108,108,108,108,27,54,54,108,108,27,27,54,108,54,54,27,54,
6,18,54,54,108,108,36,108,54,54,16,48,48,48,72,144,24,72,24,72,24,72,72,72,72,
72,144,12,6,36,6,18,48,48,144,96,72,24,72,36,54,108,9,54,6,54,3,54,18,54,27,
54,108,9,36,54,108,27,27,27,54,18,54,27,54,54,27,108,9,9,36,27,54,27,27,108,
27,54,54,48,16,48,8,24,72,72,8,24,72,72,36,6,36,2,36,18,18,18,36,2,6,18,18,12,
16,144,144,2,24,72,72,18,27,54,1,18,27,54,9,27,9,27,16,24,8,24,24,12,18,36,6,
18,6,18,6,18,18,18,18,18,36,48,6,6,18,24,9,8,24,24,1,6,18,18,2,6,18,18,2,18,
18,8,3,1,3,6,6,1,3,3,1],[1,6,3,18,21,63,8,32,2,18,18,9,18,54,54,1,18,63,63,12,
27,108,54,108,24,216,18,54,144,24,24,72,96,48,16,144,48,6,6,18,6,18,27,54,54,
54,54,54,108,9,27,18,54,108,36,108,21,27,108,72,216,54,54,108,54,27,27,54,54,
54,54,216,3,9,18,63,27,108,54,126,54,54,54,54,16,8,72,72,8,72,48,2,16,32,144,
48,144,48,24,2,18,18,1,18,12,9,18,54,54,27,27,54,54,108,27,54,108,9,9,27,27,
54,54,24,18,54,54,54,9,27,54,63,27,108,54,54,36,27,54,54,27,27,54,54,27,54,54,
54,54,48,16,48,24,24,72,6,6,18,48,48,16,72,12,12,36,36,6,3,18,3,9,9,18,27,27,
27,27,27,54,27,27,27,27,3,9,18,27,54,54,27,18,54,16,48,48,8,8,2,18,18,2,18,12,
16,2,24,36,36,36,36,1,9,9,9,9,27,27,16,24,6,6,18,6,3,1,9,3,12,12,3,8,1,2,2,9,
3,9,3,3,1,3,3,1,1,3,3,1],[1,12,6,36,3,18,9,27,4,16,128,6,36,6,6,36,36,36,2,6,
36,18,18,9,18,18,18,54,54,18,36,36,18,36,1,18,6,18,27,27,12,6,27,108,54,108,
18,6,54,36,48,12,12,36,48,16,48,6,3,6,18,18,18,18,12,18,36,36,18,36,6,6,18,18,
18,12,18,36,72,6,6,18,18,3,18,18,18,18,18,18,18,6,18,3,18,3,18,27,9,54,9,54,9,
54,9,54,18,54,108,9,18,27,36,18,36,108,18,36,108,18,18,18,18,36,18,18,36,18,
18,36,36,36,36,9,27,108,18,18,18,54,108,18,54,27,18,27,216,64,24,24,24,4,24,
36,36,4,36,24,24,24,1,4,16,64,48,48,4,32,12,192,96,288,3,18,18,3,3,9,9,9,9,18,
18,6,18,18,18,36,6,6,18,18,18,18,18,18,36,36,18,18,36,36,18,18,2,3,6,18,9,18,
9,1,18,6,18,18,12,6,3,3,9,9,9,9,18,18,18,36,18,18,9,18,18,18,36,36,9,9,18,9,
54,9,54,9,9,9,9,9,9,18,9,9,9,9,27,9,27,9,18,18,18,108,18,18,18,27,54,18,108,
18,18,36,18,36,18,18,6,54,36,64,24,12,24,24,24,48,12,12,12,12,36,12,12,3,3,9,
4,12,12,16,12,36,4,12,4,12,3,9,9,6,18,9,9,9,9,3,9,9,9,18,6,18,6,6,12,18,18,36,
6,9,9,9,3,3,9,3,18,9,3,18,9,9,9,9,9,9,9,18,9,9,9,9,9,9,18,27,9,9,18,9,18,9,9,
18,16,16,48,16,12,12,12,6,6,6,4,12,12,12,1,6,9,9,1,6,9,6,6,12,4,12,1,4,16,8,
12,48,12,12,12,12,24,72,9,3,9,3,9,3,9,1,9,3,3,9,3,9,9,16,16,16,16,12,6,3,6,6,
6,12,3,3,3,3,9,3,4,1,3,3,4,4,3,4,4,4,12,3,3,3,1,3,3,3,3,1,3,2,4,4,4,4,3,1,1,
1],[1,42,1,42,9,9,8,32,2,36,36,42,6,108,36,27,18,54,18,12,36,9,12,27,36,36,6,
18,18,18,48,8,48,24,24,96,32,96,36,2,36,6,6,36,36,9,36,36,36,36,36,18,36,36,6,
36,42,108,27,18,54,18,18,18,27,36,18,9,9,9,9,36,36,36,36,36,36,36,6,18,36,18,
36,18,36,36,16,48,24,48,48,8,24,24,24,8,24,24,24,48,2,16,96,24,36,18,36,6,12,
6,18,18,1,18,6,18,12,36,36,9,36,36,36,18,36,9,9,36,36,18,36,36,18,9,18,18,18,
18,18,36,54,18,9,18,9,36,36,9,18,36,9,9,36,36,9,36,36,16,16,16,48,24,48,24,24,
24,24,8,24,24,24,24,24,12,2,12,6,6,16,48,48,24,24,24,36,18,36,9,18,18,6,1,18,
18,6,9,18,18,36,9,36,9,9,9,18,18,9,18,18,9,18,9,9,18,18,16,32,8,24,24,24,24,
24,8,24,12,6,12,2,12,6,6,6,2,6,6,6,12,48,2,24,18,9,18,6,18,18,9,9,18,16,8,8,8,
24,12,6,12,6,6,6,6,2,6,6,6,6,6,2,6,6,9,8,8,8,1,6,6,6,2,6,6,6,6,8,1,1,1,6,2,1,
1],[1,42,1,42,33,33,8,32,2,36,36,42,6,108,36,27,90,54,90,33,27,180,42,126,54,
54,48,8,48,24,24,96,32,96,96,32,96,32,36,2,36,6,6,36,36,9,36,36,36,36,36,18,
36,36,27,90,18,18,27,36,18,27,27,27,27,108,108,108,42,54,54,54,108,108,6,54,
54,42,54,108,54,108,18,54,16,48,24,48,24,24,8,24,24,24,2,16,96,96,96,96,32,96,
96,24,36,18,36,6,18,1,18,6,18,9,36,18,36,27,27,18,18,9,18,18,27,27,108,9,18,
27,27,108,9,54,18,54,18,108,54,54,108,6,54,54,18,54,36,108,54,54,108,54,16,16,
16,32,32,24,24,24,8,24,24,24,12,2,12,6,6,16,48,48,96,24,24,24,24,24,24,24,18,
9,18,1,18,9,18,6,6,27,9,9,9,27,9,9,9,18,18,54,18,54,18,18,54,18,54,18,18,16,
16,16,32,32,8,24,12,6,12,6,6,2,6,6,6,48,2,24,24,24,24,24,24,24,9,9,9,6,18,9,9,
9,9,18,18,16,8,8,8,6,6,6,2,6,6,6,2,6,6,6,2,6,2,24,9,8,1,6,6,6,2,6,6,6,6,1,1,1,
2,2,6,1,2,1,1,2,1],[1,42,1,42,9,9,8,32,2,36,36,42,6,108,36,27,18,144,54,18,9,
27,36,6,18,18,18,48,8,48,24,24,96,32,96,36,2,36,6,6,36,36,9,36,36,36,36,36,18,
36,36,27,18,72,18,18,27,36,18,9,72,9,9,9,36,36,36,72,6,18,18,18,36,36,72,16,
48,24,48,24,24,8,24,24,24,2,16,96,24,36,18,36,6,18,1,18,6,18,9,36,18,36,9,36,
9,18,18,9,18,18,9,36,9,36,9,18,9,36,9,36,9,36,36,36,16,16,16,24,24,24,8,24,24,
24,12,2,12,6,6,16,48,48,24,24,24,18,9,18,1,18,9,18,9,18,9,18,18,18,9,9,18,18,
16,32,8,24,12,6,12,6,6,2,6,6,6,48,2,24,9,18,9,9,18,16,8,8,8,6,6,6,2,6,6,6,2,6,
6,9,8,1,6,6,1,1,1,1,2,1],[1,42,1,42,9,57,8,32,2,36,36,42,6,108,36,27,18,54,
162,9,24,27,36,144,6,90,18,90,72,48,8,48,24,24,96,32,96,192,64,36,2,36,6,6,36,
36,9,36,36,36,36,36,18,36,36,27,18,72,18,18,27,36,18,9,45,9,45,36,180,36,72,6,
36,18,36,18,18,18,18,36,36,36,72,72,12,36,72,36,36,54,54,72,108,36,18,18,16,
48,24,48,24,24,8,24,24,24,2,16,96,192,96,32,192,24,36,18,36,6,18,1,18,6,18,9,
36,18,36,9,45,18,18,9,18,18,9,18,9,18,36,72,9,18,9,9,36,36,36,36,9,36,36,72,
108,36,72,54,54,6,18,36,18,36,18,18,36,36,18,36,36,36,36,36,18,18,36,36,36,36,
16,16,16,64,24,24,24,8,24,24,24,12,2,12,6,6,16,48,48,96,24,24,24,48,48,18,9,
18,1,18,9,18,12,9,18,9,18,18,18,9,9,36,18,18,36,18,36,18,18,9,9,9,9,18,36,36,
18,18,16,32,32,32,8,24,12,6,12,6,6,2,6,6,6,48,2,24,24,24,48,24,24,9,18,6,9,9,
9,9,18,18,9,9,16,8,8,8,6,6,6,2,6,6,6,2,6,6,12,4,24,9,8,1,6,6,6,2,12,6,6,1,1,1,
4,6,1,2,2,1,1,1],[1,42,1,42,9,9,8,32,2,36,36,42,6,108,36,27,18,54,18,9,27,36,
144,6,18,18,18,48,8,48,24,24,96,32,96,36,2,36,6,6,36,36,9,36,36,36,36,36,18,
36,36,27,18,72,18,18,27,36,18,9,9,9,9,36,36,36,72,6,18,18,72,18,36,36,72,16,
48,24,48,24,24,8,24,24,24,2,16,96,24,36,18,36,6,18,1,18,6,18,9,36,18,36,9,9,
18,18,9,18,18,9,36,9,36,9,18,9,9,36,72,9,36,36,36,16,16,16,24,24,24,8,24,24,
24,12,2,12,6,6,16,48,48,24,24,24,18,9,18,1,18,9,18,9,18,9,18,9,9,18,18,18,18,
16,32,8,24,12,6,12,6,6,2,6,6,6,48,2,24,9,18,9,9,18,16,8,8,8,6,6,6,2,6,6,6,2,6,
6,9,8,1,6,6,1,1,1,1,2,1],[1,6,1,78,21,45,8,32,2,6,6,72,72,9,18,18,18,36,21,12,
72,45,180,36,144,24,108,18,90,36,8,96,24,24,32,192,48,16,144,48,2,72,6,6,36,
36,9,18,72,18,18,18,72,36,72,36,36,9,9,18,18,54,36,18,72,24,18,18,36,18,54,18,
18,36,54,126,54,90,90,72,3,9,18,27,63,108,18,18,36,36,54,90,36,18,18,16,48,24,
48,48,8,24,48,2,16,96,48,16,48,16,96,96,192,24,36,6,36,36,1,6,36,9,36,18,9,9,
18,18,36,36,9,36,18,18,36,18,18,18,18,9,9,27,27,18,18,36,18,18,18,18,54,18,3,
9,18,3,27,36,18,18,72,18,18,45,18,54,9,27,18,54,27,54,18,54,18,36,36,36,18,18,
72,36,72,36,16,32,16,48,24,8,24,48,48,2,24,6,6,16,96,48,48,24,48,12,12,36,36,
18,1,18,18,36,3,9,9,18,9,9,9,9,9,18,18,9,9,9,9,18,18,9,9,9,9,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,16,16,16,32,32,8,24,12,6,12,12,2,6,12,48,2,24,12,
12,12,12,24,24,24,24,9,3,3,18,9,9,9,9,9,9,9,9,9,9,16,8,16,6,2,6,12,12,2,12,3,
1,9,3,12,12,9,8,1,6,6,3,1,3,1,6,6,6,6,1,2,1,3,3,3,1,1,1,2,1,1,1],[1,18,3,54,9,
27,4,128,16,2,12,12,54,18,108,36,15,18,90,54,1,54,27,27,12,72,45,108,90,108,6,
54,6,18,36,72,36,16,48,48,12,6,36,6,18,36,36,3,12,36,36,36,36,6,36,36,18,18,
108,36,45,54,90,54,72,54,54,108,27,36,108,72,18,36,9,27,3,9,12,36,108,36,108,
9,45,108,18,54,18,18,108,18,54,27,27,18,18,36,36,36,36,216,64,8,8,64,48,48,60,
72,24,24,48,16,48,1,32,192,12,96,288,36,6,36,2,36,18,18,18,36,1,6,18,18,12,12,
36,9,36,36,36,18,36,72,3,9,12,36,18,36,36,18,72,3,18,18,15,18,54,54,27,36,18,
27,27,9,9,36,36,108,36,36,27,18,54,36,108,9,9,18,36,18,18,9,18,6,6,54,18,36,
36,36,36,18,18,64,48,24,24,8,24,12,48,24,36,12,48,18,16,9,36,4,12,12,18,36,3,
18,6,18,3,18,18,18,9,18,36,3,12,18,36,9,9,9,18,6,18,9,18,18,9,36,9,3,12,27,18,
9,9,36,9,18,18,32,48,16,24,4,24,2,8,16,24,24,1,8,48,12,12,12,12,15,18,6,6,12,
24,12,12,72,6,9,18,1,6,9,18,3,9,3,9,32,16,16,12,12,6,8,3,1,3,3,12,6,9,3,12,4,
3,4,8,12,6,1,6,1,2,3,3,3,3,4,8,4,3,1,1,1],[1,6,3,18,13,39,4,128,16,2,18,18,9,
18,54,54,1,18,39,39,12,27,108,54,108,12,108,6,18,72,24,52,128,48,16,48,6,6,18,
6,18,27,54,54,54,54,54,108,9,27,6,18,108,36,108,13,27,108,36,108,18,18,108,54,
27,27,18,18,18,18,216,1,3,6,21,9,36,18,42,18,18,18,18,64,8,8,64,36,72,48,24,
16,48,48,1,32,192,12,96,288,2,18,18,1,18,12,9,18,54,54,27,27,18,18,108,27,54,
108,3,3,9,9,18,18,12,6,54,18,18,3,9,18,21,9,36,18,18,36,9,18,18,9,9,18,18,9,
18,18,18,18,64,24,24,36,24,6,4,12,24,16,13,32,36,4,12,32,96,6,3,18,1,3,9,6,27,
9,9,9,9,18,9,9,9,9,1,3,6,9,18,18,9,6,18,32,48,16,4,2,8,16,1,8,48,12,12,9,18,
12,6,12,24,12,12,72,1,3,3,3,3,9,9,16,16,4,6,3,1,3,8,9,6,1,3,6,4,8,24,1,4,8,12,
1,1,2,3,3,3,3,4,4,1,1,2,1,1],[1,6,3,18,21,63,4,128,16,2,18,18,9,18,54,54,1,18,
63,63,12,27,108,54,108,24,216,18,54,144,24,84,48,16,48,6,6,18,6,18,27,54,54,
54,54,54,108,9,27,18,54,108,36,108,21,27,108,72,216,54,54,108,54,27,27,54,54,
54,54,216,3,9,18,63,27,108,54,126,54,54,54,54,64,8,8,64,36,72,96,72,16,48,48,
1,32,192,12,96,288,2,18,18,1,18,12,9,18,54,54,27,27,54,54,108,27,54,108,9,9,
27,27,54,54,24,18,54,54,54,9,27,54,63,27,108,54,54,36,27,54,54,27,27,54,54,27,
54,54,54,54,64,24,24,36,72,6,12,36,72,16,21,36,12,36,6,3,18,3,9,9,18,27,27,27,
27,27,54,27,27,27,27,3,9,18,27,54,54,27,18,54,32,48,16,4,2,8,16,1,8,48,36,36,
9,18,24,18,12,24,36,36,72,1,9,9,9,9,27,27,48,16,12,6,3,1,3,9,18,3,9,18,12,3,4,
8,12,1,1,2,3,3,9,9,4,12,3,1,1,1],[1,6,3,18,21,63,32,64,16,2,18,18,9,18,54,54,
1,18,63,63,12,27,108,54,108,24,216,18,54,144,96,192,48,16,48,6,6,18,6,18,27,
54,54,54,54,54,108,9,27,18,54,108,36,108,21,27,108,72,216,54,54,108,54,27,27,
54,54,54,54,216,3,9,18,63,27,108,54,126,54,54,54,54,64,8,8,32,32,16,48,48,8,
16,24,96,12,48,144,2,18,18,1,18,12,9,18,54,54,27,27,54,54,108,27,54,108,9,9,
27,27,54,54,24,18,54,54,54,9,27,54,63,27,108,54,54,36,27,54,54,27,27,54,54,27,
54,54,54,54,64,24,24,24,72,16,48,36,12,36,48,144,6,3,18,3,9,9,18,27,27,27,27,
27,54,27,27,27,27,3,9,18,27,54,54,27,18,54,32,16,8,2,8,8,8,1,4,24,24,12,12,36,
36,36,1,9,9,9,9,27,27,16,6,3,1,3,12,12,12,36,3,4,8,2,1,1,3,3,4,1,3,1,1],[1,12,
18,84,25,1,32,16,18,108,84,6,18,4,12,108,27,54,54,54,108,26,30,48,18,4,28,25,
48,96,96,32,16,48,48,16,16,18,12,36,54,54,36,36,12,108,36,12,18,54,36,54,54,1,
36,12,36,6,54,27,54,3,36,108,36,2,18,30,36,2,16,48,48,48,6,6,6,4,36,12,36,27,
18,54,18,8,4,28,36,26,30,48,48,96,16,48,8,16,36,54,3,36,18,18,54,18,18,36,36,
6,3,54,6,18,18,54,18,9,3,9,18,3,9,18,18,6,18,36,36,16,16,16,16,16,16,16,12,12,
48,6,12,12,18,18,4,12,18,18,12,12,18,18,1,4,12,12,36,12,12,6,18,27,18,3,36,36,
24,8,24,4,12,4,12,4,12,2,18,30,12,2,8,8,8,16,8,8,8,18,18,18,9,18,18,3,18,6,9,
18,1,9,3,9,6,18,4,16,16,16,16,16,16,16,8,12,12,12,12,12,12,18,6,12,6,3,18,6,6,
1,12,6,18,6,6,6,12,18,6,3,3,3,6,3,3,18,18,6,6,24,4,12,12,12,8,24,24,24,9,3,9,
3,9,9,9,4,4,4,4,4,4,4,16,8,8,8,8,12,6,6,6,3,6,6,6,3,6,3,6,1,3,3,3,6,6,2,1,9,4,
4,4,4,4,4,4,8,8,3,3,3,3,1,3,3,3,6,1,3,4,1,3,3,1,1,1,1],[1,24,12,96,3,36,7,21,
4,32,4,36,144,12,36,144,96,96,3,18,4,6,108,36,27,36,18,9,72,9,18,54,27,48,108,
108,72,108,1,36,12,48,21,21,18,18,24,27,54,54,54,18,24,48,16,64,28,24,96,96,
32,4,24,12,12,24,4,4,12,12,18,24,36,18,18,72,36,72,18,72,18,36,36,72,108,36,
24,108,36,72,72,108,36,12,36,72,48,48,36,72,36,216,6,9,18,3,18,9,36,9,36,18,
18,18,18,12,18,1,36,6,12,18,18,18,36,3,18,18,54,54,36,54,36,12,27,9,36,54,18,
18,72,27,36,27,9,54,36,27,9,36,27,18,27,54,9,18,36,36,9,18,54,18,18,48,72,108,
54,72,108,48,72,54,72,36,36,7,27,54,48,54,54,18,6,16,12,24,24,24,24,24,24,12,
24,12,16,96,24,72,36,48,36,12,8,1,64,72,24,12,24,24,24,96,12,4,12,12,24,24,4,
12,12,12,12,12,12,12,12,12,12,12,12,24,1,8,24,36,9,36,18,18,12,36,6,36,24,36,
18,36,18,36,36,18,9,36,18,36,9,36,9,18,18,18,36,18,18,18,54,18,18,36,18,36,18,
36,36,36,72,36,54,18,12,54,18,72,36,54,18,36,54,36,36,36,36,48,72,108,36,18,3,
18,3,9,18,18,9,9,9,9,9,18,18,18,36,9,9,18,18,9,9,9,9,18,4,18,18,12,3,18,18,12,
18,18,12,9,18,36,6,18,18,18,18,9,18,18,18,18,9,36,54,54,18,18,27,18,18,54,54,
9,36,9,9,27,9,27,9,9,9,9,9,9,36,18,18,27,18,54,9,18,36,36,9,9,54,18,18,36,54,
108,54,36,16,16,16,16,16,16,16,6,6,12,12,12,12,12,12,12,24,24,24,24,12,24,24,
12,12,16,24,48,12,24,24,12,12,4,16,24,24,72,24,24,12,36,24,8,24,1,6,3,3,1,6,1,
3,3,12,12,12,12,12,12,12,4,12,12,12,12,12,12,12,12,12,12,4,4,12,12,12,12,12,
12,12,12,12,4,16,7,24,24,8,24,24,24,18,18,36,9,18,9,9,18,12,18,3,18,12,18,18,
36,18,18,9,18,18,18,36,9,9,9,18,18,9,9,9,27,9,18,18,18,18,18,18,18,18,18,18,
12,54,18,12,18,18,18,54,18,18,18,18,6,18,9,18,18,3,9,9,9,9,18,9,18,18,9,18,18,
9,9,9,9,9,18,9,1,18,6,9,18,18,9,18,18,3,18,18,18,3,18,9,18,9,18,9,27,27,9,9,4,
16,16,16,16,16,16,16,4,6,3,6,6,6,6,6,3,6,6,6,6,12,12,12,12,12,12,12,24,12,12,
24,12,3,4,24,12,12,12,24,24,3,1,3,3,6,6,1,3,3,3,3,3,3,3,3,3,3,3,3,6,4,2,6,6,3,
24,18,9,12,9,3,12,12,12,12,4,12,12,12,16,18,24,24,18,9,18,9,9,3,18,9,18,9,9,9,
9,9,9,18,18,18,18,3,9,9,9,4,4,4,4,4,4,4,16,4,4,4,4,4,4,4,3,6,6,3,3,3,3,3,3,6,
6,3,3,3,3,3,3,12,12,6,3,6,3,3,1,3,3,3,3,3,3,3,3,3,1,3,1,3,3,3,3,3,3,3,3,3,4,6,
1,4,6,6,6,2,6,6,6,6,6,3,12,3,3,3,18,9,9,4,4,4,4,4,4,4,1,4,4,4,4,4,4,4,3,3,3,3,
3,3,3,3,3,3,3,6,3,6,3,3,1,3,3,3,1,6,3,6,6,3,3,4,1,1,1,1,1,1,1,4,3,3,1,1,1,1,1,
1,1,1],[1,6,3,18,13,39,4,128,16,4,18,36,3,12,18,36,1,18,39,39,24,9,72,18,72,
14,126,6,18,84,24,52,128,48,16,48,12,1,12,6,36,9,36,18,36,9,36,3,9,3,9,12,36,
36,36,13,9,72,42,126,18,18,6,18,9,9,18,18,36,36,36,36,72,2,6,6,42,18,36,18,84,
18,18,36,36,2,18,6,6,64,16,12,48,32,4,56,24,16,48,48,1,32,96,8,64,192,4,3,12,
3,9,3,12,9,9,9,9,9,36,36,36,9,9,18,36,18,18,6,18,36,36,6,18,36,18,18,14,6,18,
18,36,36,6,18,18,42,18,36,18,36,6,18,36,18,18,18,36,18,18,36,18,36,36,36,36,
18,36,18,36,18,18,36,36,36,36,64,4,12,12,48,32,12,4,12,6,8,24,24,8,16,13,32,
24,96,8,24,64,192,32,32,8,96,96,1,9,9,1,9,6,3,3,12,9,9,36,18,18,36,18,18,36,
18,9,9,18,18,36,36,2,6,6,2,18,36,18,18,36,18,12,18,36,18,6,6,16,32,16,12,24,
24,4,12,12,4,8,3,12,14,6,8,16,24,24,24,3,3,9,6,6,18,18,16,32,32,16,4,4,1,8,8,
1,24,3,3,12,2,6,6,2,8,16,8,8,8,48,24,24,1,4,8,3,3,6,6,4,4,8,8,1,2,1,1],[1,56,
3,21,63,28,28,84,84,1,28,63,63,14,126,21,63,84,56,84,56,28,84,8,28,42,84,42,
42,21,42,42,126,63,63,21,126,63,63,63,42,42,28,56,56,28,28,28,84,28,84,14,24,
16,42,21,42,42,42,42,42,14,21,21,63,126,63,21,21,8,28,28,28,28,28,28,28,42,14,
42,8,8,8,21,21,21,21,21,21,21,24,16,28,14,42,42,8,21,8,8,8,14,8,1,2,3,1,1,1,
1],[1,42,49,112,14,28,84,63,126,70,126,112,112,112,64,84,42,7,84,42,63,21,168,
8,84,126,14,56,28,112,112,42,7,42,21,21,84,84,42,64,56,28,28,28,56,56,112,56,
21,28,7,21,42,7,28,56,8,21,7,7,7,7,8,8,8,7,7,1],[1,18,5,90,3,15,1,4,8,90,9,90,
30,15,15,45,45,1,15,9,45,30,1,6,3,5,30,15,20,40,12,60,24,120,90,45,90,9,45,15,
45,5,15,45,45,45,45,4,18,1,3,3,18,3,30,30,1,3,15,15,15,15,15,5,30,30,20,60,60,
120,1,2,1,4,8,45,45,45,15,45,15,45,4,20,20,9,18,18,6,3,3,9,1,3,9,9,9,6,3,15,
15,30,30,5,15,15,15,15,15,15,15,60,5,10,3,15,6,30,6,3,1,6,3,12,4,12,24,8,24,
45,20,20,20,1,9,9,9,18,18,3,1,3,9,9,9,9,9,4,15,15,15,5,15,15,15,15,5,15,30,3,
6,6,1,3,3,3,3,3,3,1,6,6,12,4,12,24,1,2,20,1,5,5,9,9,9,3,9,3,9,4,4,4,15,15,3,3,
3,6,6,1,3,3,3,3,3,3,3,12,1,2,3,3,6,6,5,5,5,9,4,4,4,1,3,3,3,1,3,3,3,1,3,3,6,5,
4,1,1,1,3,3,1,1,1,1],[1,26,45,90,1,45,11,20,90,270,13,90,270,5,30,45,45,90,45,
15,135,45,45,90,6,100,40,22,50,11,50,45,90,45,60,20,60,120,30,90,90,45,30,270,
90,30,90,135,90,90,45,5,45,90,15,90,45,45,45,45,45,10,36,6,6,6,36,90,100,50,
100,180,90,180,20,120,120,11,90,90,50,45,90,45,45,45,5,30,15,15,15,30,30,5,10,
60,60,6,90,15,90,45,90,45,90,15,45,45,45,20,40,20,10,10,10,20,20,18,36,36,12,
6,18,18,18,30,45,30,90,30,90,30,50,180,90,30,60,45,10,30,30,30,45,15,30,15,5,
15,15,15,15,30,15,10,15,5,15,10,30,30,12,6,6,12,6,45,40,10,40,20,20,20,20,20,
40,40,20,10,20,10,10,10,5,18,36,36,6,18,15,30,30,45,15,30,30,30,15,30,5,15,15,
15,5,15,30,6,12,12,6,6,6,6,12,1,20,20,40,10,20,10,20,10,10,5,5,10,5,18,15,15,
6,12,12,6,6,6,2,3,1,3,10,5,10,10,5,5,1,6,6,3,6,1,3,5,2,2,1,1,1,3,2,1,2,1,1,
1],[1,6,15,90,3,45,11,20,90,3,90,5,90,45,45,45,90,1,45,3,45,30,6,60,2,10,33,
30,15,90,45,60,120,30,45,90,3,45,15,45,15,45,45,45,45,45,90,10,36,6,18,18,36,
30,60,60,1,30,30,30,11,30,30,1,45,45,45,45,5,30,45,30,30,5,10,20,60,60,6,15,
45,45,5,15,45,45,20,10,30,20,30,18,36,36,18,6,18,18,18,18,30,30,30,30,1,15,15,
10,30,10,30,15,45,30,15,15,15,15,45,15,30,15,30,60,12,18,6,12,18,15,10,20,20,
30,10,10,10,30,10,5,18,18,18,6,18,18,18,30,15,15,5,15,5,15,5,15,5,15,10,6,12,
12,6,6,18,6,18,6,1,10,10,10,10,10,10,10,10,15,18,15,5,6,6,6,6,6,6,6,6,3,10,5,
5,5,1,6,3,1,3,5,2,3,3,1,1,1,1],[1,6,15,90,1,75,11,20,90,3,90,5,90,15,15,90,90,
45,90,30,10,30,90,6,60,2,10,11,90,15,90,75,20,120,120,30,45,90,30,5,90,45,15,
45,45,15,90,90,180,10,36,6,6,6,36,30,60,60,1,30,30,10,60,40,20,10,15,45,30,30,
90,5,30,15,30,30,30,5,10,60,60,20,6,15,45,45,15,45,45,45,20,10,10,20,20,30,18,
36,36,6,36,18,12,30,30,30,30,10,15,10,30,10,30,15,60,15,30,5,15,15,15,30,30,
60,5,30,10,60,60,12,6,6,12,6,45,10,20,20,10,20,10,10,10,10,10,20,5,18,6,18,30,
15,15,5,15,15,15,15,15,5,15,30,6,12,12,6,6,12,12,1,10,10,10,10,10,10,10,10,5,
10,18,15,15,6,6,6,6,1,6,10,5,5,5,1,6,3,3,1,5,2,1,2,3,1,1,1,1],[1,20,15,3,45,
11,20,30,10,30,5,30,45,45,1,45,10,30,30,6,40,40,20,10,33,30,15,45,60,30,15,30,
10,30,60,15,15,15,45,15,15,10,6,18,18,30,20,20,20,30,20,10,30,11,30,20,10,45,
45,5,45,30,30,30,5,10,20,20,6,15,15,15,5,15,15,15,20,20,10,30,30,12,18,6,18,
12,30,15,30,10,20,10,30,60,20,10,10,10,10,15,15,15,45,15,15,10,15,30,18,6,18,
15,20,10,20,10,30,10,10,30,10,5,6,6,6,15,15,15,10,5,15,15,15,5,5,5,10,6,18,18,
12,12,1,10,10,10,10,10,10,10,15,10,6,15,5,6,6,6,2,3,10,5,5,5,1,6,1,1,1,5,2,3,
1,1,1,1,1],[1,20,15,1,75,11,20,30,10,30,5,30,15,15,90,90,30,3,45,90,6,40,40,
20,10,11,90,15,75,20,120,30,15,30,30,90,5,90,15,45,45,45,45,90,10,6,6,6,30,20,
20,20,30,20,10,10,60,40,30,1,15,30,45,30,90,5,15,30,30,5,10,60,60,6,15,45,45,
45,15,45,45,20,20,10,10,20,30,12,6,36,18,18,30,15,30,10,10,30,60,60,30,30,30,
30,15,15,5,15,15,15,30,30,10,5,30,10,60,6,6,6,45,20,10,20,10,10,20,10,10,10,
10,20,5,6,18,18,15,15,15,30,15,15,5,15,5,15,15,30,6,6,6,12,12,1,10,10,10,10,
10,10,10,5,10,10,18,15,15,6,6,6,2,1,6,10,5,5,5,1,6,1,3,3,5,2,1,2,3,1,1,1,1],[
1,45,3,135,11,20,5,45,45,135,45,405,135,1,135,30,270,6,50,33,150,45,135,60,60,
180,45,15,135,135,135,135,135,45,45,405,135,270,10,6,18,18,150,45,270,11,150,
135,135,135,270,5,45,45,15,30,5,10,180,20,180,6,135,5,135,45,135,45,135,20,10,
30,30,60,18,18,54,6,18,50,135,270,15,45,45,135,15,45,45,45,45,45,90,15,15,45,
30,30,90,60,18,6,18,45,60,10,60,30,30,10,30,60,60,5,6,54,54,45,45,45,5,15,45,
45,45,5,45,10,90,90,6,18,18,18,6,1,20,30,60,10,30,15,5,15,18,15,15,30,6,18,18,
3,3,9,10,5,15,15,1,6,9,1,9,5,1,3,3,3,3,1,3,1],[1,45,1,45,11,20,5,45,45,45,15,
135,45,13,45,30,6,50,11,50,45,45,60,20,60,45,5,45,45,45,45,45,15,45,45,135,10,
6,6,6,50,45,90,50,11,45,45,45,5,15,15,15,30,5,10,60,60,20,6,45,15,15,45,45,45,
45,20,10,10,10,20,6,18,18,18,18,12,50,45,90,15,15,45,45,5,15,15,15,15,15,15,5,
15,10,30,30,60,6,6,6,45,20,10,20,10,10,20,10,10,5,6,18,18,45,15,15,15,15,5,15,
15,5,15,30,6,6,6,6,6,12,1,20,10,20,10,10,5,5,5,18,15,15,6,6,6,3,1,3,10,5,5,5,
1,6,3,1,3,5,1,1,1,3,1,1,1,1],[1,25,3,75,10,4,80,5,15,15,75,45,135,45,1,75,30,
90,6,20,30,60,10,30,100,80,15,15,45,45,45,45,45,25,45,135,45,90,40,6,18,18,60,
10,60,10,60,30,30,30,60,5,20,40,60,60,1,20,120,24,45,5,45,15,45,15,45,80,40,
18,6,18,6,18,20,30,60,10,30,5,15,15,60,25,20,24,15,40,10,20,6,18,18,10,15,5,
15,5,10,15,15,24,6,1,20,10,20,6,5,15,6,1,3,3,10,5,4,6,3,1,3,5,4,1,1,1],[1,6,
15,90,3,45,10,4,80,90,3,90,5,90,45,45,45,90,1,45,3,45,30,6,60,10,30,30,60,60,
4,60,240,30,45,90,3,45,15,45,15,45,45,45,45,45,90,40,36,6,18,18,36,30,60,60,
30,10,30,30,30,30,5,20,40,60,60,1,20,120,24,15,45,45,5,15,45,45,40,40,40,18,
36,36,18,6,18,18,18,18,30,30,30,30,10,30,30,30,15,20,15,1,15,60,24,24,24,15,
40,10,20,18,18,18,6,18,18,18,30,15,5,15,5,10,15,15,24,6,1,10,10,10,20,18,15,5,
6,6,6,6,3,10,5,4,6,3,1,3,5,4,3,1,1],[1,60,15,3,45,10,4,80,90,30,90,5,90,45,45,
1,45,30,30,90,6,60,60,10,30,30,60,40,240,90,45,90,30,90,180,15,45,15,45,45,45,
40,6,18,18,60,30,60,30,30,10,30,30,30,5,20,40,60,60,1,20,120,24,45,45,45,5,45,
45,45,40,40,40,36,18,6,18,36,30,30,30,30,30,10,30,30,15,60,120,15,10,60,120,
24,45,40,10,20,18,6,18,30,15,5,15,5,10,15,15,24,6,1,10,10,10,20,18,15,15,30,6,
6,3,10,5,4,6,3,1,3,5,4,3,1,1],[1,6,15,90,3,45,10,4,80,90,3,90,5,90,45,45,45,
90,1,45,3,45,30,6,60,10,30,30,60,60,4,60,240,30,45,90,3,45,15,45,15,45,45,45,
45,45,90,40,36,6,18,18,36,30,60,60,30,10,30,30,30,30,5,20,40,60,60,1,20,120,
24,15,45,45,5,15,45,45,40,40,40,18,36,36,18,6,18,18,18,18,30,30,30,30,10,30,
30,30,15,20,15,1,15,60,24,24,24,15,40,10,20,18,18,18,6,18,18,18,30,15,5,15,5,
10,15,15,24,6,1,10,10,10,20,18,15,5,6,6,6,6,3,10,5,4,6,3,1,3,5,4,3,1,1],[1,15,
60,3,45,4,80,10,90,5,90,45,45,30,90,1,45,30,90,30,6,60,40,60,240,10,60,30,30,
90,45,90,15,45,15,45,45,45,30,90,180,40,6,18,18,60,20,60,40,5,60,30,60,30,30,
10,30,30,30,1,20,120,24,45,45,45,5,45,45,45,40,40,40,36,18,6,18,36,60,120,30,
15,15,30,30,30,10,30,30,30,10,60,120,24,45,20,40,10,18,6,18,15,5,15,5,10,15,
15,30,24,6,1,20,10,10,10,18,15,15,30,6,6,3,5,10,4,6,3,1,3,5,4,3,1,1],[1,6,15,
90,3,45,4,80,10,90,3,90,5,45,45,90,45,90,1,45,3,45,30,6,60,60,4,60,240,10,30,
30,60,45,30,90,3,45,15,15,45,45,45,45,45,45,90,40,36,6,18,18,36,30,60,60,20,
60,60,40,5,30,10,30,30,30,30,1,20,120,24,45,15,45,5,15,45,45,40,40,40,18,36,
36,18,6,18,18,18,18,30,30,30,30,20,15,15,10,30,30,30,1,15,60,24,24,24,15,20,
40,10,18,18,18,6,18,18,18,15,30,5,15,5,10,15,15,24,6,1,20,10,10,10,18,15,5,6,
6,6,3,6,5,10,4,6,1,3,3,5,4,3,1,1],[1,15,3,45,10,30,4,80,10,5,15,45,45,45,15,
45,1,45,30,30,30,90,90,6,60,40,80,10,30,30,10,10,30,30,15,15,45,45,45,15,45,
45,45,45,45,90,10,90,40,6,18,18,20,60,60,40,5,30,10,30,10,30,30,30,30,30,30,
30,60,1,20,120,24,5,45,45,15,45,15,45,40,40,40,18,6,18,6,18,60,15,5,15,15,10,
30,30,10,10,30,30,10,20,24,15,20,40,10,6,18,18,5,15,15,5,10,15,15,10,24,6,1,
20,10,10,10,6,5,15,6,3,1,3,5,10,4,6,1,3,3,5,4,1,1,1],[1,16,60,60,15,20,20,60,
180,60,15,45,60,90,90,45,90,45,45,90,36,80,20,20,80,60,60,60,60,20,60,60,20,
45,60,90,90,45,30,90,60,90,90,90,15,45,90,45,45,15,90,90,90,45,45,10,36,36,36,
60,80,120,60,60,20,60,60,15,15,60,60,60,60,90,45,15,90,45,15,45,90,90,45,45,
10,20,20,10,20,10,20,36,36,36,15,60,30,15,60,15,30,15,15,15,15,15,15,15,45,20,
10,20,10,20,10,10,10,10,10,20,36,15,15,15,15,30,30,15,15,15,15,15,15,6,6,10,
10,10,10,10,10,10,15,15,6,6,6,6,6,6,10,6,6,1,1,1,1,1],[1,30,45,30,1,45,20,20,
90,90,15,90,90,15,90,15,45,90,45,45,45,45,15,90,36,120,40,60,20,60,120,60,40,
20,60,90,30,90,45,90,90,90,30,90,45,90,90,45,15,45,90,45,90,15,45,45,45,45,10,
36,36,36,120,60,120,20,60,15,15,120,60,120,60,20,90,45,90,15,90,45,90,15,45,
45,45,40,10,40,10,10,72,36,30,60,30,30,15,15,15,15,30,15,15,60,45,20,20,20,10,
20,10,10,20,20,36,30,15,30,30,15,30,15,15,15,15,6,6,20,10,20,10,10,15,15,12,6,
12,6,10,6,6,1,2,1,1],[1,16,45,60,15,15,20,20,45,90,15,90,60,15,45,15,45,90,45,
45,45,45,45,45,45,90,36,80,20,20,60,20,60,60,60,60,20,60,60,20,45,15,45,45,45,
45,45,30,45,45,15,45,45,45,90,45,45,45,45,15,45,45,45,45,45,15,45,45,45,45,45,
45,45,10,36,36,36,60,20,60,60,60,60,60,20,60,60,15,15,60,60,60,60,45,45,45,15,
45,45,45,45,15,45,45,45,45,45,45,10,20,10,20,10,20,20,36,36,36,15,60,30,15,60,
15,15,15,15,15,15,15,15,15,15,45,20,10,20,10,20,10,10,10,10,10,20,36,15,15,15,
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],[1,2,45,90,1,45,20,20,90,1,90,15,15,45,90,45,45,45,45,90,90,
45,90,90,36,40,40,60,20,60,120,60,20,60,120,30,45,90,30,90,90,90,45,15,45,90,
15,45,90,45,45,90,45,90,90,45,45,90,10,72,36,36,36,72,20,120,120,20,120,120,
60,60,15,15,60,60,15,90,90,15,45,90,90,45,45,45,45,20,10,10,10,20,36,72,72,36,
36,60,30,30,60,15,15,15,30,15,15,15,30,45,10,20,20,10,10,10,20,10,36,15,30,30,
15,30,30,15,15,15,15,6,6,10,20,20,10,10,15,15,12,6,6,12,10,6,6,1,2,1,1],[1,60,
1,60,15,15,20,20,15,60,90,60,45,180,90,45,45,90,45,15,45,90,36,80,20,80,60,60,
60,20,60,60,20,60,20,90,15,90,15,15,60,90,15,90,60,90,90,90,45,90,90,45,45,45,
45,45,90,45,10,36,36,36,80,60,120,60,60,15,15,60,60,60,60,20,60,60,90,45,90,
15,45,15,90,45,90,45,45,20,10,10,10,20,20,20,36,36,36,60,30,15,30,15,15,15,15,
15,15,15,15,15,60,45,20,10,20,10,10,10,10,10,10,20,20,36,30,15,30,15,15,15,15,
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],[
1,45,3,135,20,20,15,15,45,135,135,135,135,1,135,90,90,36,60,60,180,60,60,180,
45,45,135,45,135,135,135,45,135,135,135,270,10,36,108,108,180,20,180,15,15,
180,20,180,135,15,135,15,135,45,135,10,30,30,108,36,108,60,15,45,45,15,45,45,
60,45,10,30,30,10,30,36,45,15,45,45,15,45,6,6,30,10,30,15,15,18,18,10,6,6,1,3,
1],[1,45,1,45,20,20,15,15,45,45,45,45,45,15,15,90,36,60,20,60,60,20,60,45,15,
45,15,45,45,45,45,45,45,45,10,36,36,36,60,60,20,15,15,60,60,20,45,45,15,45,15,
45,45,10,10,10,36,72,60,15,15,15,15,15,15,60,45,10,10,10,20,20,36,15,15,15,15,
15,15,6,6,10,10,10,15,15,6,6,10,6,6,1,1,1],[1,45,1,75,30,20,20,15,15,45,45,45,
135,135,90,90,15,15,90,90,90,36,60,20,100,120,60,20,60,120,40,45,15,135,30,15,
45,30,90,45,45,90,90,45,45,45,45,90,90,90,180,90,10,36,36,36,60,120,20,60,120,
15,15,60,120,60,20,120,45,90,45,15,90,15,45,90,45,45,90,10,10,10,40,40,36,72,
60,15,15,45,30,15,15,15,30,30,60,45,10,10,10,20,20,20,20,20,20,36,15,30,15,15,
30,15,30,15,15,30,6,6,10,20,10,10,20,15,15,6,12,6,12,10,6,6,1,1,2,1],[1,45,1,
45,20,20,15,15,45,45,45,45,45,1,45,90,36,60,20,60,60,20,60,45,15,45,15,45,45,
45,45,45,45,45,10,36,36,36,60,20,60,15,15,60,60,20,45,15,45,45,15,45,45,10,10,
10,36,36,36,60,15,15,15,15,15,15,60,45,10,10,10,10,10,20,36,15,15,15,15,15,15,
6,6,10,10,10,15,15,6,6,10,6,6,1,1,1],[1,8,18,56,3,54,25,75,16,12,72,4,12,72,
56,56,6,12,4,12,72,54,54,36,36,27,36,54,36,162,162,28,72,72,36,72,1,54,4,28,
75,75,36,12,24,81,324,162,324,36,26,234,30,90,156,32,32,16,32,48,48,32,16,16,
48,48,12,8,24,6,12,24,24,36,36,36,36,24,24,36,72,24,8,72,24,36,24,72,24,4,12,
36,28,28,24,36,72,144,12,18,36,18,36,54,24,6,24,36,36,36,36,12,36,1,24,12,12,
36,36,36,24,6,36,36,36,36,24,36,24,18,54,6,36,36,36,6,36,81,18,162,18,162,18,
162,18,72,162,36,162,324,9,36,36,72,18,36,27,36,81,3,9,36,108,72,36,72,324,36,
108,324,36,36,28,36,72,36,36,72,28,48,36,48,24,24,72,72,72,72,25,81,324,28,36,
78,234,90,90,324,36,6,162,81,36,81,18,18,108,108,108,108,648,2,18,30,42,54,
180,90,84,90,90,108,108,24,2,18,24,6,6,16,32,32,32,32,32,32,4,32,16,32,32,32,
48,16,48,16,32,32,16,48,16,16,16,48,48,16,48,48,16,48,48,96,8,24,6,24,36,36,4,
24,2,24,8,24,12,24,12,24,24,6,6,12,12,18,18,18,18,36,36,6,24,12,12,36,12,36,
36,12,12,12,72,12,24,12,24,12,24,24,24,36,12,36,12,4,36,12,36,12,36,12,24,36,
24,24,24,72,72,28,36,72,72,36,36,24,36,6,36,6,6,36,12,54,18,54,18,18,36,3,36,
6,12,54,18,36,36,12,12,12,24,6,6,12,12,18,18,18,18,12,36,12,6,36,36,6,12,72,4,
36,12,4,3,12,36,12,36,12,4,18,36,72,3,6,9,12,36,12,12,12,18,36,36,12,12,18,72,
12,3,18,18,36,36,12,12,18,12,12,36,36,6,6,36,12,72,72,27,18,54,18,162,18,162,
18,18,18,18,18,9,12,36,12,18,12,36,18,12,18,18,18,18,81,18,81,18,9,9,108,108,
36,36,36,324,36,36,36,36,36,81,18,162,36,36,324,36,9,6,9,18,36,18,12,18,24,24,
9,18,24,24,18,18,54,54,108,108,6,12,18,36,18,18,12,36,72,36,12,24,24,12,72,36,
36,24,24,24,24,24,24,24,24,26,30,162,18,108,108,12,6,54,90,42,54,180,90,108,
12,12,6,18,108,12,36,18,18,54,108,108,54,54,108,108,54,108,108,108,108,18,36,
12,18,36,18,18,12,36,36,36,36,8,8,16,16,16,16,16,16,16,32,32,32,32,4,8,12,12,
4,8,4,12,12,16,16,16,16,16,16,16,16,48,16,48,16,16,16,16,16,16,16,16,16,48,48,
16,16,16,16,16,16,24,8,24,8,8,24,24,8,12,12,24,6,12,18,18,12,12,12,36,12,4,12,
1,12,4,12,12,24,6,6,12,12,6,12,12,12,12,12,12,12,18,18,18,18,6,12,6,6,18,6,18,
18,6,6,6,36,12,36,12,12,6,6,12,12,12,12,12,12,12,12,12,12,12,24,12,12,12,12,
12,4,36,12,4,12,12,12,36,12,12,12,12,72,12,12,18,36,12,3,12,18,18,18,18,18,18,
12,6,9,18,18,6,54,18,18,6,36,9,12,18,36,24,6,18,12,12,6,12,12,6,6,12,18,18,18,
18,6,12,6,18,6,3,18,18,6,6,36,6,12,6,12,12,12,12,1,12,12,18,12,36,6,12,12,1,
12,12,9,3,9,3,9,18,1,6,3,6,9,9,6,6,6,12,6,12,18,12,6,12,6,6,9,18,18,6,6,9,36,
6,18,18,18,6,6,3,18,18,6,6,12,12,12,12,27,18,3,36,36,81,18,18,18,36,18,6,3,36,
9,6,9,36,6,3,9,18,18,6,6,36,54,54,54,54,108,18,6,18,6,36,18,18,24,54,54,54,54,
18,18,9,6,9,9,9,6,12,12,18,6,18,6,36,36,18,18,18,18,12,12,12,12,12,12,12,12,
12,12,12,12,2,18,30,12,2,54,108,108,54,18,36,12,18,12,12,12,12,36,108,12,12,
12,12,12,18,36,18,6,12,12,6,8,4,8,8,8,8,8,4,8,8,8,8,16,16,16,16,16,16,16,12,4,
12,4,8,8,4,12,4,4,12,4,12,12,12,4,4,12,12,24,16,16,16,16,16,16,16,16,8,24,24,
24,24,24,24,24,8,24,24,24,24,24,16,12,6,12,6,12,18,6,6,6,18,6,6,12,1,12,6,12,
3,3,6,2,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,
12,12,12,6,6,9,6,18,6,3,6,9,3,18,6,6,6,18,6,6,9,6,18,6,6,6,6,18,18,18,9,6,9,6,
6,3,6,6,6,6,6,6,12,18,6,3,18,6,6,6,6,3,6,6,6,6,6,6,6,6,12,3,3,9,6,3,3,3,3,3,9,
3,9,3,9,3,6,9,6,9,18,12,6,3,6,9,6,6,6,18,18,18,9,6,9,3,6,3,6,6,18,18,6,6,54,
54,6,6,18,18,18,6,6,6,18,18,18,18,18,18,12,12,12,12,12,12,12,12,12,4,8,8,4,4,
4,4,4,4,8,8,4,4,4,4,4,4,16,4,4,12,12,4,4,4,4,4,4,4,4,4,12,4,12,4,4,4,4,4,4,1,
8,8,8,8,24,24,24,24,8,8,6,3,6,6,6,6,6,6,6,6,6,3,3,1,3,3,3,6,6,6,6,6,6,6,6,3,6,
3,6,9,3,9,3,6,18,3,3,3,3,3,3,6,6,1,3,3,3,9,3,9,3,3,3,3,3,1,3,3,3,6,18,6,6,4,4,
4,4,4,4,4,2,4,4,4,4,4,4,4,4,3,1,2,3,8,8,3,3,3,1,3,3,3,3,3,3,3,3,3,3,3,4,1,2,2,
1,1,3,1,3,1,3,1,1,1,1,1,1,1,1],[1,24,10,72,3,30,17,51,4,36,120,12,36,120,72,
72,2,12,4,4,72,30,18,36,12,11,60,26,84,66,78,36,72,72,60,72,1,30,12,36,51,51,
12,12,24,33,156,66,156,84,18,162,14,42,108,40,16,48,68,12,24,24,18,12,72,24,
60,84,60,84,24,24,60,72,24,24,72,24,60,72,72,24,12,36,60,36,36,24,60,168,144,
4,6,12,6,36,18,24,6,24,36,36,36,36,12,12,1,24,4,12,12,12,12,24,2,12,12,36,36,
24,36,24,10,18,6,36,36,12,18,60,33,30,78,42,66,30,78,42,24,54,36,54,108,9,12,
36,24,6,12,11,60,33,3,9,20,60,120,36,120,132,60,36,132,60,36,36,60,72,36,60,
72,36,48,36,48,24,24,72,72,120,120,17,33,156,36,36,54,162,42,42,108,36,6,66,
33,60,33,18,18,60,60,60,60,264,2,10,14,42,30,84,42,84,42,42,60,60,24,2,18,24,
6,6,8,24,8,16,80,16,48,44,40,104,56,48,48,72,56,1,24,6,24,36,36,12,24,6,24,24,
24,12,24,12,24,24,18,6,36,12,30,42,30,42,36,36,18,24,12,12,60,12,36,60,12,36,
36,120,12,24,12,24,12,24,24,24,60,36,36,12,12,36,12,60,36,36,12,24,36,24,24,
24,72,120,36,60,72,72,60,60,72,12,2,12,2,6,12,12,18,18,18,18,6,12,1,36,2,12,
18,6,36,12,12,12,12,24,6,6,12,12,18,18,18,18,12,36,12,6,36,36,6,12,72,4,12,12,
12,3,12,12,12,12,12,12,6,12,24,3,18,9,4,12,12,12,12,6,12,12,12,12,6,24,12,1,6,
6,36,36,12,12,18,12,12,36,36,6,6,36,12,72,72,11,30,26,42,54,18,54,18,18,18,18,
18,9,36,12,12,18,12,36,6,12,30,30,42,42,33,30,33,30,9,9,60,60,60,36,60,132,60,
60,60,12,12,27,6,54,12,36,108,36,9,18,9,18,36,18,36,18,24,72,3,6,24,24,10,6,
30,18,60,60,6,12,18,36,18,18,12,36,72,36,12,24,24,12,72,36,36,24,24,24,24,24,
24,24,24,18,14,66,18,60,60,12,6,30,42,42,30,84,42,60,12,12,6,18,36,12,36,18,
18,30,36,60,30,30,36,60,30,60,60,60,60,18,36,12,18,36,18,18,12,36,36,36,36,8,
16,16,24,24,16,16,40,56,16,16,24,24,4,16,16,16,48,16,16,8,24,44,40,12,80,80,
10,16,8,40,56,16,8,4,12,17,12,12,24,6,12,18,18,12,12,12,36,12,12,12,3,12,12,
12,12,24,18,18,12,12,6,12,12,12,12,12,12,12,30,42,18,18,18,12,6,6,30,6,18,30,
6,18,18,60,12,36,12,12,18,18,36,36,12,12,12,12,12,12,12,12,12,24,12,12,12,12,
12,12,36,12,12,12,12,12,36,12,12,12,12,72,4,12,6,12,12,1,12,6,6,18,18,18,6,12,
6,3,18,6,6,18,18,6,6,36,3,12,6,12,24,2,6,12,12,6,12,12,6,6,12,18,18,18,18,6,
12,6,18,6,3,18,18,6,6,36,6,12,6,12,12,12,12,1,12,4,6,12,12,6,12,12,3,12,12,9,
9,9,9,3,6,1,18,1,6,9,3,18,6,6,12,2,12,6,12,6,12,6,6,3,6,6,6,6,3,12,2,6,18,18,
6,6,3,18,18,6,6,12,12,12,12,11,30,3,20,60,27,18,6,18,36,18,6,3,36,9,18,9,36,6,
3,3,30,30,18,18,60,30,18,30,18,60,18,6,18,6,36,6,6,24,18,18,18,18,18,6,9,18,3,
9,3,6,36,36,18,6,18,18,36,36,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,2,10,
14,12,2,30,36,60,30,18,36,12,18,12,12,12,12,12,36,12,12,12,12,12,18,36,18,6,
12,12,6,16,24,8,16,8,4,24,8,8,2,4,16,8,40,8,24,8,16,24,8,4,12,12,8,4,4,40,24,
24,8,4,4,6,2,20,12,11,10,26,14,16,16,12,12,18,14,12,6,12,6,12,18,6,6,6,18,6,6,
12,3,12,6,12,9,9,6,6,6,18,6,6,6,6,6,6,6,6,6,30,6,18,6,18,6,6,6,18,6,18,6,6,6,
6,18,6,18,6,36,12,12,12,12,2,6,3,6,6,6,1,6,3,1,18,2,6,6,18,6,6,3,6,6,6,6,6,6,
6,6,6,3,6,3,6,6,3,6,6,6,6,6,6,12,18,6,3,18,6,6,6,6,3,6,6,6,6,6,6,6,6,12,3,9,3,
6,3,9,9,3,9,3,3,9,9,3,3,18,3,6,3,6,12,6,1,6,3,6,6,6,6,6,6,3,6,3,3,6,3,6,6,10,
6,6,6,18,18,6,6,18,6,18,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,8,8,8,4,
8,8,8,4,2,4,6,6,12,8,4,8,4,12,4,4,8,8,4,4,1,4,4,4,4,4,4,4,2,10,14,6,6,12,6,11,
10,3,20,20,4,2,10,14,4,2,6,3,6,6,6,6,6,6,6,6,6,9,3,3,3,9,3,6,6,6,6,6,6,6,6,1,
6,3,6,3,3,3,3,2,6,3,3,3,3,3,3,6,6,1,9,1,3,3,3,3,3,3,3,3,3,3,9,3,3,2,6,6,6,4,4,
4,4,2,4,6,2,1,6,2,2,4,4,4,4,1,4,2,4,3,3,2,2,2,1,2,10,6,6,1,1,10,6,6,2,4,4,3,3,
3,3,3,3,3,1,3,3,3,3,3,3,3,4,2,1,2,2,2,2,2,3,1,1,3,1,1,2,2,2,2,3,1,1,1,1,1,1,1,
1],[1,42,15,90,3,45,6,18,2,4,16,16,2,90,162,21,90,162,36,36,9,9,54,45,81,27,9,
54,27,45,54,108,108,1,45,21,45,18,18,54,54,54,54,48,12,12,8,6,24,6,36,18,60,
48,28,60,24,48,144,36,48,144,48,6,12,6,18,36,6,2,18,6,54,54,45,162,54,54,54,
81,54,54,54,54,21,90,81,18,18,108,108,27,54,9,27,27,27,27,54,15,81,27,27,45,
81,27,27,27,27,27,54,45,81,54,54,108,18,108,6,54,18,54,8,1,16,8,16,36,48,24,
48,72,36,72,6,36,36,36,36,12,12,6,36,36,24,6,36,2,24,24,6,18,18,18,18,18,36,
60,36,108,36,36,36,36,144,24,72,36,18,36,36,36,144,18,6,18,6,36,36,2,18,18,6,
18,18,6,18,18,6,6,18,18,36,1,4,4,27,54,54,27,54,45,81,27,27,27,54,81,81,27,27,
27,27,18,54,9,27,27,27,27,27,9,27,27,27,27,27,27,27,9,27,27,27,27,27,27,27,54,
54,6,12,8,32,32,24,24,2,16,1,12,3,3,6,2,6,6,48,48,8,24,24,8,24,8,24,48,48,16,
18,36,36,24,72,24,24,36,36,36,6,18,18,18,18,6,6,36,36,36,36,6,24,18,18,8,24,
18,36,36,6,18,18,36,18,18,18,36,36,36,36,36,36,36,15,12,18,18,18,18,18,18,6,
18,18,18,18,6,18,18,18,6,18,6,2,18,18,18,18,18,18,18,18,6,7,15,6,12,36,12,36,
12,4,27,27,27,27,27,27,27,27,27,27,27,27,9,27,27,12,3,12,6,6,12,12,6,6,6,12,
12,32,24,24,48,24,6,1,6,48,1,6,3,3,1,6,3,3,6,6,12,12,1,3,6,6,3,6,6,3,6,3,6,6,
6,6,2,4,24,24,8,24,24,24,24,48,2,4,18,18,18,24,36,36,36,18,18,6,18,18,18,18,
18,18,6,18,36,9,9,15,27,9,9,9,36,18,18,18,18,6,18,18,18,6,18,36,8,8,4,4,8,4,8,
27,6,6,12,3,6,3,3,6,6,6,6,6,6,6,12,6,3,6,6,6,6,6,6,6,6,12,24,8,2,4,6,3,6,6,1,
6,3,3,3,3,6,1,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,12,3,2,3,6,6,6,6,6,2,8,6,6,12,
12,24,6,6,2,2,6,6,2,12,12,4,18,18,9,9,9,9,9,9,9,8,4,8,4,4,8,4,4,4,4,8,1,6,3,6,
6,6,3,6,3,3,3,3,3,6,6,6,3,3,3,3,3,3,6,6,8,6,12,1,12,3,3,3,3,3,1,3,3,3,3,3,3,3,
1,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,2,6,12,9,4,4,4,4,4,4,4,2,1,2,2,1,1,2,3,3,3,
3,3,3,3,3,3,3,3,6,1,3,3,3,6,4,2,1,2,1,1,1,1,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,54,
21,54,3,63,5,4,40,64,8,126,162,27,126,162,1,18,9,9,54,63,9,81,27,27,54,1,63,
27,27,6,18,54,108,30,18,15,54,3,18,9,84,24,36,36,120,72,24,24,72,18,54,54,63,
18,162,54,18,54,81,54,54,27,126,81,36,9,3,27,54,9,54,27,27,27,27,27,21,9,9,81,
27,27,63,81,54,27,81,54,108,20,4,64,32,64,18,108,54,108,36,18,36,15,18,18,54,
3,18,5,54,54,15,9,9,9,9,9,18,1,18,9,9,3,18,18,6,18,1,4,8,2,8,16,84,12,36,108,
36,36,72,72,72,8,72,1,10,16,24,48,54,9,54,27,54,27,54,63,9,81,27,9,27,81,81,
27,27,27,1,9,27,9,27,9,9,27,27,9,27,27,27,9,27,27,27,27,27,27,27,48,20,72,72,
12,12,4,12,12,192,96,18,9,18,18,18,18,18,54,36,54,54,18,18,18,36,18,15,54,9,9,
6,18,18,18,18,54,9,18,18,3,18,9,3,9,9,18,9,9,9,3,9,9,9,9,9,9,9,18,9,18,9,18,
36,6,3,3,9,12,36,12,24,6,6,18,24,36,36,36,36,21,6,24,9,9,30,18,24,16,27,9,27,
27,27,27,27,9,27,27,27,9,27,27,27,24,24,24,72,12,12,24,12,4,12,12,12,12,4,12,
24,5,16,1,8,24,4,8,8,16,8,16,9,18,18,9,9,9,9,9,9,18,18,54,18,18,18,18,9,18,9,
9,3,9,9,9,3,9,9,9,9,9,1,9,3,9,9,9,9,9,9,9,9,9,3,9,9,9,3,9,1,3,9,9,36,1,2,2,2,
4,18,18,9,9,21,3,27,9,18,18,32,16,27,12,24,24,6,12,4,12,12,12,12,12,18,4,12,5,
18,3,3,48,3,1,6,3,24,24,4,12,12,24,24,24,9,9,9,9,9,9,9,9,9,9,3,9,9,9,3,9,9,9,
3,9,3,9,9,3,3,6,6,6,9,9,9,9,16,4,4,12,3,6,6,12,18,3,6,3,3,1,3,3,3,1,2,3,3,3,3,
3,12,1,2,2,4,9,9,9,4,4,4,4,8,3,3,3,3,3,3,1,3,3,3,1,3,6,3,3,3,1,3,6,6,4,4,1,3,
3,3,1,1,1,1],[1,36,42,108,9,8,1,16,64,32,126,324,108,2,18,36,36,108,27,162,18,
54,108,6,18,144,24,48,24,72,42,48,12,36,9,48,144,96,18,108,108,162,54,36,108,
108,108,108,36,6,54,108,54,54,9,108,36,108,18,54,9,54,9,36,108,108,8,16,64,32,
64,72,144,144,72,24,8,72,24,72,2,2,4,16,16,32,42,6,36,108,36,36,27,54,18,18,
144,144,36,36,6,18,24,48,108,54,27,108,54,18,54,54,54,108,108,18,1,54,18,18,
54,54,54,27,9,27,54,9,27,96,8,48,48,24,24,16,192,96,72,72,72,36,24,72,24,72,6,
12,6,18,6,36,12,6,18,12,12,36,48,48,36,36,54,18,36,36,18,18,9,36,36,36,36,36,
36,18,18,9,18,9,36,36,36,24,16,54,18,54,27,54,54,9,54,27,48,48,24,24,48,24,8,
24,24,24,8,16,2,16,16,32,24,72,18,36,36,18,6,2,18,6,18,36,18,18,36,6,1,18,18,
6,36,4,36,2,4,9,36,18,18,18,18,18,36,18,18,9,9,9,18,9,9,32,16,27,24,24,8,24,
24,24,24,24,8,24,48,2,12,12,6,6,48,48,24,18,18,18,6,18,6,18,18,6,18,9,18,18,
12,6,9,18,9,16,8,24,24,12,6,6,12,6,2,6,6,6,1,4,2,4,18,9,8,8,8,6,6,2,6,6,6,6,6,
1,12,6,8,1,3,6,2,1,1],[1,42,33,8,1,16,64,32,2,36,36,27,90,42,54,48,24,42,48,
33,192,96,96,32,36,6,9,36,18,27,27,108,6,54,54,18,8,16,64,32,64,24,8,24,2,2,4,
16,16,32,36,36,27,90,42,54,96,24,48,18,1,18,27,9,54,18,54,48,24,16,32,96,32,
96,64,24,12,6,36,6,12,48,9,36,18,27,27,108,6,54,54,18,24,24,24,48,16,9,6,9,9,
18,24,8,24,16,8,16,2,16,16,32,96,24,6,2,6,18,1,18,4,2,4,27,9,54,18,54,24,16,
32,9,24,8,12,6,48,24,24,24,6,9,6,6,6,2,12,9,9,18,16,8,6,2,6,1,4,2,4,24,9,6,8,
6,1,2,6,6,2,4,1,1,6,1,2,1],[1,42,9,8,1,16,64,32,2,36,36,27,18,216,6,18,48,24,
42,48,9,96,36,6,9,36,18,9,108,9,36,108,8,16,64,32,64,24,8,24,2,2,4,16,16,32,
36,36,27,18,72,6,18,24,48,18,1,18,9,54,9,54,48,24,16,96,24,12,6,36,6,12,48,9,
36,18,9,36,9,36,36,24,16,9,27,27,24,8,24,48,8,16,2,16,16,32,24,6,2,6,18,1,18,
4,2,4,9,18,9,18,16,27,24,8,12,6,48,24,6,9,6,9,9,16,8,6,2,6,1,4,2,4,9,8,6,1,6,
1,3,1,1],[1,6,3,18,9,27,8,4,64,256,32,2,18,18,9,18,54,54,1,18,27,27,12,27,108,
54,108,6,54,36,24,24,72,24,192,36,96,6,6,18,6,18,27,54,54,54,54,54,108,9,27,
108,36,108,9,27,108,18,54,108,54,27,27,216,32,16,256,128,256,8,72,72,8,72,48,
2,8,16,16,64,128,36,72,24,32,1,16,64,48,384,24,192,576,2,18,18,1,18,12,9,18,
54,54,27,27,108,27,54,108,6,54,36,96,48,24,24,72,6,6,18,24,48,48,36,6,48,144,
9,72,64,6,3,18,9,27,32,16,8,64,8,64,192,8,64,64,128,96,32,64,8,2,18,18,2,18,
12,4,16,2,4,16,16,32,2,16,48,96,9,18,6,24,48,144,1,24,24,24,6,6,18,6,12,6,9,
32,16,8,8,16,8,2,16,1,16,48,8,16,16,32,24,2,1,4,2,4,6,3,8,4,2,1,4,2,4,1],[1,3,
7,21,4,224,28,1,21,21,7,63,42,28,224,84,28,84,8,7,21,63,1,21,42,112,28,28,84,
84,1,56,7,56,168,24,7,3,21,112,32,64,8,4,28,7,56,21,7,21,56,168,8,1,28,28,24,
7,7,14,21,21,1,32,28,28,8,16,8,1,7,14,3,7,4,4,1,4,1,8,7,3,4,1,1,1,1,1],[1,3,
21,63,4,224,28,1,63,63,14,126,21,63,84,84,84,28,84,8,21,42,126,63,63,21,126,
63,63,63,112,56,84,28,84,84,1,56,14,112,336,24,14,21,63,126,63,112,32,64,8,84,
28,21,42,14,42,8,21,56,28,24,14,21,14,28,42,42,32,56,28,8,16,8,21,14,14,1,8,
14,3,4,1,1],[1,21,3,63,4,224,28,7,7,21,63,63,63,63,1,63,42,42,84,28,84,84,8,
21,21,63,21,63,63,63,21,63,63,63,126,112,28,7,56,28,84,56,7,84,28,84,1,56,168,
168,24,63,7,63,7,63,21,63,112,32,64,8,84,21,7,21,7,21,21,21,28,8,21,28,28,28,
24,7,7,14,21,21,21,7,21,7,14,21,32,28,28,28,8,16,8,21,7,7,7,7,1,8,7,7,3,4,1,
1],[1,39,45,135,11,1,22,40,20,135,405,5,45,45,45,135,6,150,60,33,50,45,135,45,
90,13,45,66,270,360,60,180,45,135,135,45,135,45,135,11,10,40,20,40,54,6,54,
135,150,270,180,135,45,5,45,15,45,5,5,10,10,10,20,45,15,45,135,45,45,270,90,6,
6,12,135,30,60,11,50,50,45,45,20,40,10,30,120,120,20,60,60,120,54,18,18,45,
135,45,45,15,45,15,45,15,15,15,45,15,30,30,30,45,45,45,45,10,18,6,18,18,6,18,
36,12,36,60,30,30,60,50,45,45,90,45,5,15,15,15,10,120,5,10,5,10,10,20,60,54,6,
45,45,45,20,20,10,10,10,18,6,18,18,6,18,36,1,30,15,45,5,15,15,15,15,15,5,15,
30,5,15,15,30,30,6,6,6,20,10,20,10,10,5,18,18,9,3,3,15,15,15,6,6,6,1,1,2,10,5,
5,5,9,6,3,3,1,3,1,3,6,5,1,3,3,1,1,1,1],[1,15,3,45,11,4,88,160,20,5,45,45,1,45,
30,6,10,33,30,15,45,60,120,60,15,15,45,44,10,160,80,160,6,18,18,30,11,30,45,
45,5,45,30,5,20,40,10,40,80,20,1,22,40,120,240,6,24,48,5,40,60,10,80,30,30,18,
6,18,10,15,15,45,15,30,15,30,40,18,6,18,24,48,20,30,10,30,11,40,5,40,120,20,
40,40,80,20,40,6,24,5,5,5,10,10,10,20,40,6,18,18,6,12,1,10,10,20,15,15,24,20,
10,6,6,12,3,5,5,10,5,10,10,20,6,1,4,8,10,1,6,3,5,4,1,1,2,1],[1,45,45,45,20,1,
40,40,20,135,135,15,135,15,45,135,36,180,60,60,45,15,15,120,180,120,60,60,135,
45,135,45,135,45,135,20,10,40,20,40,36,180,15,15,30,45,45,15,45,45,45,30,15,
180,36,135,60,20,60,60,10,60,120,60,60,20,120,108,45,45,45,15,45,45,15,90,15,
45,45,45,90,15,45,10,36,30,60,10,30,15,15,60,45,45,45,20,10,20,36,6,6,30,15,
15,15,15,15,15,10,10,10,18,18,15,15,6,6,10,6,6,1,3,1,1],[1,3,45,135,20,1,40,
40,20,135,15,15,45,135,135,135,36,60,60,60,180,45,1,45,360,360,60,180,45,45,
135,45,135,135,135,20,10,40,20,40,108,36,108,180,180,15,15,30,15,45,45,45,45,
45,30,15,36,135,30,60,20,60,10,30,120,20,60,60,120,108,45,45,15,45,45,15,45,
90,15,45,45,45,90,15,45,10,36,36,36,30,60,10,30,15,15,60,45,45,45,10,10,10,36,
6,6,30,15,15,15,15,15,15,10,10,10,18,18,15,15,6,6,10,6,6,1,3,1,1],[1,60,15,20,
1,40,40,20,15,60,90,45,45,36,80,60,60,120,15,120,60,60,20,90,15,15,90,45,20,
10,40,20,40,36,60,15,15,30,60,90,45,45,30,15,60,36,45,80,60,20,40,10,20,60,20,
60,40,36,30,15,90,15,30,15,90,45,30,15,15,15,10,36,60,10,10,10,15,15,60,15,45,
15,20,10,20,36,6,6,10,30,15,15,15,15,10,10,10,6,6,15,15,6,6,10,6,6,1,1,1,1],[
1,24,42,72,3,126,9,27,8,32,84,216,12,84,216,72,72,2,12,36,36,72,126,18,324,
108,27,108,18,36,162,54,36,72,72,108,72,1,126,12,36,27,27,12,12,216,81,108,
162,108,36,6,54,18,54,36,96,16,48,24,144,24,48,72,96,96,288,12,72,72,42,12,
216,72,108,36,108,36,24,72,108,72,72,72,72,72,108,216,72,72,12,84,108,36,36,
24,108,72,144,36,6,108,6,36,18,72,6,72,36,36,36,36,108,108,9,72,36,108,108,
108,108,72,18,108,108,36,36,72,36,72,42,18,6,324,36,108,42,108,81,54,54,18,
162,54,54,18,216,54,36,54,108,81,108,324,216,54,108,9,36,27,9,27,36,108,72,36,
72,108,36,36,108,36,36,36,108,72,36,108,72,36,144,36,144,72,72,72,72,72,72,9,
81,108,36,36,18,54,54,54,108,36,54,54,27,36,27,54,54,108,108,108,108,216,16,
48,96,48,96,96,48,96,8,48,48,144,24,144,8,144,48,8,72,24,72,24,72,144,8,48,72,
72,24,48,48,48,48,2,16,288,32,288,24,72,6,72,36,36,36,72,18,72,72,72,36,72,36,
72,72,42,6,108,36,54,18,54,18,36,36,54,72,36,12,36,36,36,36,36,36,36,72,12,72,
12,72,36,72,72,72,108,108,36,36,36,36,36,108,108,36,36,72,36,72,72,72,72,72,
36,108,72,72,36,36,72,108,18,108,2,6,108,12,18,18,18,18,54,108,1,36,18,12,18,
54,36,12,12,36,36,72,6,6,36,36,18,18,18,18,36,36,36,18,36,36,18,36,72,36,108,
36,36,27,36,108,108,108,36,36,54,108,216,9,18,27,36,108,36,36,36,54,108,108,
36,36,54,216,36,9,54,54,36,36,36,36,18,36,36,36,36,18,18,36,36,72,72,27,54,18,
18,54,18,54,18,18,18,18,18,81,108,108,36,18,36,36,54,36,54,54,18,18,27,18,27,
18,27,27,108,108,36,36,36,108,36,36,36,108,108,27,54,54,108,36,108,36,27,18,
27,54,108,54,36,54,72,72,27,54,72,72,36,72,36,36,72,72,36,72,36,36,6,18,54,54,
108,108,36,36,36,108,54,54,64,16,48,48,48,24,48,48,48,48,48,48,96,48,48,48,48,
48,96,24,8,48,24,24,16,48,48,48,48,48,72,144,48,24,48,72,24,24,72,48,24,24,24,
24,24,72,72,24,72,24,24,48,72,48,72,144,96,4,12,6,36,6,12,18,48,48,144,96,72,
24,72,36,36,72,6,36,18,18,36,12,36,36,36,36,36,9,36,36,36,36,72,18,18,36,36,
18,36,36,36,36,36,36,36,54,18,18,18,54,36,18,6,18,18,18,18,18,18,18,36,12,36,
36,36,18,18,36,36,36,36,36,36,12,36,36,12,36,24,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,72,36,36,54,108,36,9,36,54,6,18,18,18,54,36,6,3,18,54,6,
18,18,54,6,36,27,36,54,108,72,36,36,18,36,36,18,18,36,18,18,18,18,18,36,18,18,
18,9,18,18,18,18,36,18,36,18,9,36,36,54,36,108,18,36,36,9,36,36,27,9,27,9,27,
54,36,18,36,54,36,18,36,18,18,27,54,54,18,18,27,108,18,18,18,18,9,18,18,18,18,
9,18,9,36,36,27,18,54,18,36,18,18,9,36,27,18,27,108,18,9,27,18,18,18,18,36,54,
54,72,36,36,36,36,32,32,32,48,16,48,32,8,24,48,48,24,24,24,24,24,24,48,48,12,
48,48,48,48,24,12,24,24,12,24,24,24,8,24,24,24,24,24,72,24,72,24,8,24,24,24,
72,24,72,24,24,24,24,24,8,24,24,24,2,12,12,36,6,36,2,2,36,12,18,6,18,6,18,36,
2,12,6,12,18,18,12,12,12,16,144,144,2,24,72,72,36,18,36,18,36,18,18,6,18,18,
18,18,36,9,36,18,36,9,9,18,18,18,18,18,18,18,18,6,18,18,18,6,18,18,18,18,18,
18,18,18,18,18,18,36,36,36,36,18,18,27,18,54,18,1,18,18,6,6,18,18,18,27,18,54,
18,18,18,6,18,18,9,18,18,18,18,9,18,18,18,18,18,9,18,18,9,9,27,18,9,9,9,18,9,
18,27,18,18,18,9,18,9,16,32,32,16,16,16,24,8,16,24,24,24,24,12,24,24,24,24,6,
12,12,12,12,12,12,24,12,12,12,12,12,24,8,24,24,24,24,24,24,24,2,12,6,6,4,12,
12,12,12,12,18,36,12,6,12,18,6,6,6,6,18,12,6,6,6,18,6,18,6,18,6,12,18,12,18,
36,24,48,6,6,18,24,18,9,18,6,18,18,18,9,9,18,18,18,18,9,18,9,18,9,9,16,8,16,
16,8,8,24,8,24,8,1,24,6,12,12,6,6,6,6,6,6,12,12,12,12,12,12,6,6,2,6,6,6,6,6,
18,6,18,6,2,6,6,6,2,6,6,6,18,6,18,6,6,6,6,6,2,18,18,9,8,8,8,8,8,8,8,4,3,1,3,6,
6,6,6,6,6,6,2,6,6,6,6,6,6,6,6,8,2,2,2,1,2,3,3,6,2,1,2,1,1,1],[1,24,42,72,1,42,
33,33,8,32,84,216,12,84,216,72,72,2,12,36,36,72,42,6,108,36,27,108,90,180,54,
90,36,72,72,108,72,33,27,180,42,126,54,54,96,16,48,8,48,24,48,24,96,32,96,96,
32,96,32,12,72,72,42,12,216,72,108,180,108,180,24,72,108,72,72,72,72,72,108,
216,72,72,36,108,144,36,2,36,6,36,6,72,6,72,36,36,36,36,36,36,9,72,36,36,36,
36,36,72,18,36,36,36,36,72,36,72,27,54,90,90,18,36,18,27,36,18,27,108,27,27,
27,108,108,216,36,216,108,108,36,36,72,72,42,54,54,54,108,108,6,54,54,42,54,
108,54,108,72,18,54,16,48,96,48,96,96,48,96,8,48,48,48,24,48,24,24,24,8,48,24,
24,24,48,48,2,16,96,96,96,96,32,96,96,24,72,6,72,36,36,36,72,18,72,72,72,36,
72,36,72,72,54,90,36,36,54,72,36,12,108,36,36,108,36,108,108,216,12,72,12,72,
36,72,72,72,36,36,36,72,36,72,72,72,36,18,36,6,18,18,1,36,18,12,6,18,36,36,36,
72,18,18,36,36,36,18,36,36,18,36,72,9,36,36,18,36,27,54,27,36,18,18,36,9,18,
18,18,18,18,36,36,27,54,27,108,108,9,18,36,27,54,27,108,9,54,18,54,18,108,54,
36,54,108,36,36,72,72,72,72,6,54,54,36,18,54,36,108,54,54,108,36,54,64,16,16,
16,32,32,48,24,48,48,48,48,48,48,96,48,24,24,16,48,48,48,24,24,48,24,8,24,24,
24,24,48,24,4,12,2,12,6,12,6,16,48,48,96,24,24,24,24,24,24,24,36,36,72,18,36,
12,36,36,36,9,36,36,72,54,54,18,36,36,36,36,36,6,54,18,54,12,36,36,36,54,54,
36,36,36,36,36,36,18,9,36,18,1,18,18,6,9,36,18,6,6,18,18,18,36,18,18,9,18,36,
18,36,36,27,27,9,9,54,9,18,27,9,54,18,9,9,18,18,9,36,36,54,18,54,18,18,18,54,
18,54,18,18,18,36,36,36,36,32,32,32,16,16,32,16,32,32,8,24,48,48,24,24,48,48,
12,24,12,24,24,12,24,8,24,24,24,2,12,12,12,6,12,6,6,6,2,12,6,12,6,6,12,48,2,
24,24,24,24,24,24,24,18,18,36,6,18,18,36,27,18,18,18,54,18,18,18,18,9,18,9,18,
9,6,18,9,18,18,18,18,18,36,9,27,9,9,9,18,9,18,18,18,16,32,32,16,16,16,8,8,16,
8,24,12,6,12,12,12,12,12,12,24,12,6,4,12,12,12,6,6,12,6,2,6,6,6,6,12,6,2,6,6,
6,2,6,2,24,9,18,18,9,9,18,18,9,9,9,9,16,8,16,16,8,8,1,6,12,12,6,6,12,12,2,6,6,
6,6,6,2,6,6,6,6,9,8,4,1,1,1,2,2,6,6,2,2,2,1,2,1,2,1,2,1,2,2,1,1,1],[1,24,42,
72,1,42,9,57,8,32,84,216,12,84,216,72,72,2,12,36,36,72,42,6,108,36,27,108,18,
36,54,162,36,72,72,108,72,9,24,27,36,144,144,6,90,18,90,72,96,16,48,8,48,24,
48,24,96,32,96,192,64,12,72,72,42,12,216,72,108,36,108,36,24,72,108,72,72,72,
72,72,108,216,72,72,36,108,288,144,36,2,36,6,36,6,72,6,72,36,36,36,36,36,36,9,
72,36,36,36,36,36,72,18,36,36,36,36,72,36,72,27,54,18,18,72,72,18,36,18,27,36,
18,9,36,45,9,45,36,180,72,36,72,36,36,72,72,36,36,72,72,144,144,6,36,18,36,18,
18,72,18,18,36,36,36,72,72,12,36,72,36,36,54,54,72,108,36,72,18,18,16,48,96,
48,96,96,48,96,8,48,48,48,24,48,24,24,24,8,48,24,24,24,48,48,2,16,96,192,96,
32,192,24,72,6,72,36,36,36,72,18,72,72,72,36,72,36,72,72,54,18,72,36,36,54,72,
36,12,36,36,36,36,36,36,36,72,12,72,12,72,36,72,72,72,36,36,36,72,36,72,72,72,
144,72,72,144,36,18,36,6,18,18,1,36,18,12,6,18,36,36,36,72,18,18,36,36,36,18,
36,36,18,36,72,9,36,36,18,36,9,18,45,36,18,18,36,9,18,18,18,18,18,36,36,9,18,
18,36,9,18,36,72,36,72,9,18,36,9,18,9,36,36,36,72,36,9,36,36,72,108,36,72,54,
54,36,36,36,72,72,72,72,6,18,36,18,36,36,18,18,36,36,18,36,36,36,36,36,18,18,
36,36,36,36,36,64,16,16,16,64,48,24,48,48,48,48,48,48,96,48,24,24,16,48,48,48,
24,24,48,24,8,24,24,24,24,48,24,4,12,2,12,6,12,6,16,48,48,96,24,24,24,48,48,
36,36,72,18,36,12,36,36,36,9,36,36,72,18,18,18,36,36,36,36,36,6,18,18,36,36,
18,12,36,36,36,18,18,72,72,36,36,36,36,36,36,18,9,36,18,1,18,18,6,9,36,18,12,
18,18,18,36,18,18,9,18,36,18,36,36,9,9,18,18,9,18,18,18,18,18,9,9,36,9,36,36,
18,18,36,18,18,36,18,18,9,18,9,9,9,18,36,36,18,18,36,36,18,18,36,36,36,36,32,
32,32,16,32,32,32,32,8,24,48,48,24,24,48,48,12,24,12,24,24,12,24,8,24,24,24,2,
12,12,12,6,12,6,6,6,2,12,6,12,6,6,12,48,2,24,24,24,48,24,24,18,18,36,6,18,18,
36,9,18,18,18,18,18,18,18,18,18,36,9,18,18,6,9,18,9,9,36,18,18,18,18,18,9,9,9,
9,18,18,18,9,18,9,18,16,64,16,16,16,8,8,16,8,24,12,6,12,12,12,12,12,12,24,12,
6,4,12,12,12,6,6,12,6,2,6,6,6,6,12,6,2,6,6,12,4,24,9,18,18,9,9,18,18,9,9,9,9,
16,8,16,16,8,8,1,6,12,12,6,6,12,12,2,6,6,6,6,6,2,12,6,6,9,8,4,1,1,1,4,6,6,2,2,
2,1,2,2,1,2,1,1,2,2,1,1,1],[1,48,18,144,3,54,9,27,4,4,32,96,288,24,96,288,144,
144,2,24,12,12,144,54,18,108,36,15,144,18,72,90,54,72,144,144,144,144,1,54,24,
72,27,27,12,24,72,45,108,90,108,72,6,54,6,18,36,48,24,8,12,24,12,72,36,72,96,
32,96,36,96,288,24,72,72,48,24,216,72,144,72,144,72,48,72,144,144,72,72,144,
72,144,216,144,72,24,96,144,72,72,48,144,144,288,12,6,36,6,72,18,72,12,72,72,
72,72,72,36,36,3,72,12,36,36,36,36,72,6,36,36,72,72,72,72,72,18,18,12,108,72,
36,48,144,45,72,54,36,90,72,54,36,72,54,72,54,108,27,36,108,72,18,36,9,72,27,
3,9,12,36,144,72,144,108,72,36,108,72,72,72,144,144,72,144,144,72,144,72,144,
72,72,144,144,144,144,9,45,108,72,72,18,54,18,18,108,72,18,54,27,72,27,18,18,
36,36,36,36,216,16,24,48,24,48,48,24,48,12,72,72,24,4,24,4,24,24,12,36,36,36,
36,12,24,4,72,36,12,4,24,72,24,24,1,8,8,32,64,16,48,192,48,96,60,96,72,48,288,
288,96,96,24,24,1,8,24,72,12,72,72,72,36,72,18,72,72,72,36,72,36,72,72,48,12,
108,36,72,36,72,36,72,72,54,72,36,24,72,36,72,72,36,36,36,144,24,72,24,72,36,
72,72,72,144,108,72,36,36,72,36,144,108,72,36,72,72,72,72,72,144,144,72,144,
144,144,72,72,72,36,6,36,2,12,36,24,18,36,18,36,18,36,1,72,6,24,18,18,72,12,
24,36,36,72,12,12,36,36,36,36,36,36,36,72,36,18,72,72,18,36,144,12,36,36,36,9,
36,36,36,36,36,36,18,36,72,3,18,9,12,36,36,36,36,18,36,36,36,36,18,72,36,3,18,
18,72,72,36,36,36,36,36,72,72,18,18,72,36,144,144,15,72,18,36,54,36,54,36,36,
36,36,36,27,108,36,36,36,36,72,18,36,72,72,36,36,27,36,27,36,9,9,36,36,72,72,
72,108,72,72,72,36,36,27,18,54,36,72,108,72,9,18,9,18,36,18,36,18,72,72,9,18,
72,72,72,144,72,36,72,72,36,144,72,72,6,6,54,18,36,36,36,36,36,36,18,18,16,32,
32,48,48,24,12,24,24,24,24,24,24,48,24,24,24,24,24,48,12,12,24,36,36,24,72,24,
24,8,24,12,24,24,4,24,12,12,36,12,24,12,36,36,12,36,12,36,36,12,12,12,72,12,
24,12,24,48,6,2,3,6,3,18,9,16,48,32,24,48,24,24,72,96,48,48,96,48,48,48,48,48,
12,48,48,48,96,48,48,24,48,36,48,12,48,96,18,24,72,48,8,24,9,24,72,24,72,36,
36,72,12,36,36,36,36,24,36,72,36,36,36,9,36,36,36,36,72,18,18,36,36,18,36,36,
36,36,36,36,36,72,36,36,36,54,36,18,12,36,18,36,36,18,18,18,72,24,72,36,36,18,
18,36,36,36,36,36,36,24,36,36,24,36,48,36,36,36,36,36,36,72,36,36,36,36,36,72,
36,36,36,36,144,12,36,18,36,36,3,36,18,6,36,36,36,18,36,12,3,36,18,12,18,36,
18,12,72,9,36,18,36,72,36,36,18,36,36,18,18,36,36,36,36,36,18,36,18,36,18,9,
36,36,18,18,72,18,36,18,3,36,12,18,36,36,18,36,36,9,36,36,9,9,9,9,9,18,36,6,
36,18,36,18,36,18,18,9,18,18,18,18,9,36,36,36,18,18,9,36,36,18,18,9,36,3,12,
72,27,36,18,36,72,36,18,9,72,9,18,9,36,18,9,9,36,36,18,18,72,18,18,72,36,36,
36,36,32,48,16,32,16,16,48,16,16,4,4,12,24,24,12,12,12,12,12,12,24,24,6,24,24,
24,24,12,6,12,12,6,12,36,12,12,12,36,12,4,12,12,12,12,12,4,36,4,12,12,12,12,
12,12,12,12,12,12,36,12,12,3,18,18,6,1,6,1,3,6,6,9,9,9,9,3,6,1,18,1,6,9,3,18,
6,6,48,48,24,48,16,4,48,24,16,72,8,72,2,2,8,24,12,48,24,48,24,24,24,48,48,24,
12,12,12,24,12,12,12,12,16,4,48,24,15,24,18,12,72,72,72,72,24,24,6,6,36,18,36,
18,36,36,18,12,18,36,18,18,36,9,36,18,36,9,9,18,18,18,18,18,18,18,18,12,36,18,
18,12,36,18,18,18,18,18,18,18,18,18,18,36,36,36,36,6,18,9,18,18,18,1,36,6,12,
12,36,18,18,9,18,18,18,18,18,12,18,18,9,18,18,36,18,9,36,18,18,18,18,9,18,18,
3,9,9,18,9,9,9,18,3,18,9,18,18,18,9,18,9,16,16,16,16,16,16,16,8,4,8,12,12,4,8,
8,12,12,12,12,12,6,12,12,12,12,3,6,6,6,6,6,6,12,6,6,6,6,6,12,12,12,12,12,4,12,
12,12,3,6,9,9,6,6,18,6,2,6,3,6,6,1,6,3,3,9,9,9,3,6,3,3,9,3,3,9,9,3,3,18,3,6,3,
6,12,24,16,24,12,24,24,24,12,4,8,6,12,6,6,18,24,24,12,24,12,12,12,3,12,12,12,
12,12,12,12,6,24,12,12,12,24,12,9,12,3,12,24,12,18,9,18,12,18,18,18,9,9,18,18,
18,18,3,18,9,18,9,9,16,8,4,8,12,4,4,12,4,4,8,12,4,8,4,4,12,4,4,1,12,3,6,6,3,3,
3,3,3,3,6,6,6,6,6,6,9,3,3,3,9,3,1,3,3,3,3,3,1,9,1,3,3,9,3,3,3,3,3,3,3,3,3,3,
12,12,6,12,12,4,1,12,6,4,18,2,18,3,12,6,12,3,3,6,6,6,3,6,12,6,12,3,3,9,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,2,1,2,3,3,3,3,3,3,3,3,3,3,3,3,3,1,3,3,3,6,3,6,4,6,6,6,3,
3,6,4,4,2,1,2,3,1,1,3,1,1,3,3,1,1,1,1,1,1,1,1],[1,42,3,126,33,99,8,32,2,36,36,
126,18,324,108,27,90,162,270,1,126,99,99,12,216,81,540,162,540,42,378,54,162,
252,48,24,144,24,72,96,96,288,96,32,288,96,36,6,108,6,18,108,108,9,36,108,108,
108,108,18,108,108,42,18,324,108,81,270,162,270,216,54,54,108,81,108,324,216,
54,108,27,81,27,81,108,324,324,36,324,33,81,540,126,378,162,162,108,54,162,81,
81,162,162,324,324,324,324,648,6,54,54,126,162,324,162,252,162,162,324,324,18,
162,54,54,16,144,24,144,8,144,72,72,72,144,8,72,72,24,48,2,16,288,96,288,32,
288,288,96,288,96,288,288,576,24,108,18,108,2,108,18,18,54,108,1,18,18,54,12,
36,108,27,108,108,108,54,108,216,27,81,36,108,54,108,108,54,216,9,54,54,27,90,
54,54,81,108,54,81,81,81,81,324,324,324,108,108,27,54,54,108,108,81,81,162,
324,162,162,27,54,54,18,162,54,324,324,54,162,324,162,162,42,54,162,162,324,
324,18,162,162,126,162,324,162,324,54,162,36,324,162,162,162,108,324,162,162,
108,324,162,324,324,324,324,162,324,162,324,162,162,324,324,324,324,16,48,48,
32,96,48,72,144,24,72,24,72,24,72,72,72,72,72,144,12,6,36,6,18,48,48,144,96,
288,288,96,32,288,288,72,24,72,24,24,72,72,36,54,108,9,54,6,54,3,54,18,54,27,
54,108,6,18,9,36,54,108,81,81,27,54,9,9,81,27,54,18,54,27,54,54,27,108,18,54,
27,27,108,27,54,81,81,324,27,162,54,162,54,324,162,162,324,54,54,54,54,54,54,
162,54,81,27,81,27,162,162,324,324,54,54,54,54,6,54,54,18,162,108,324,162,162,
324,162,36,108,108,162,324,162,54,54,48,16,48,16,48,96,96,96,96,8,24,72,72,8,
24,72,72,36,6,36,2,36,18,18,18,36,2,6,18,18,12,16,144,144,2,96,24,72,72,72,72,
72,72,24,72,72,72,72,72,18,27,54,9,27,1,18,27,54,18,18,54,27,27,27,27,27,27,
81,27,27,27,54,9,27,54,54,54,27,27,54,18,54,54,54,162,54,162,54,54,54,54,54,
54,16,48,48,32,96,24,8,24,24,12,18,36,6,18,6,18,6,18,18,18,18,18,36,48,6,6,18,
6,2,18,6,24,24,24,72,72,72,72,9,27,27,6,54,9,9,27,27,18,54,16,8,24,24,1,6,18,
18,2,6,18,18,2,18,18,18,6,18,6,6,18,18,18,18,18,24,9,8,3,1,3,2,6,6,6,6,2,18,
18,18,18,1,3,3,6,6,1,3,6,3,3,6,1,2,3,3,6,1],[1,42,3,126,9,27,8,32,2,36,36,126,
18,324,108,27,18,144,162,54,1,126,27,27,12,216,81,108,162,108,144,6,54,18,54,
36,48,24,144,24,72,96,96,288,36,6,108,6,18,108,108,9,36,108,108,108,108,18,
108,108,42,18,324,108,81,54,72,162,54,72,216,54,54,108,81,108,324,216,54,108,
9,72,27,9,27,36,108,108,72,36,108,72,9,81,108,18,54,54,54,108,54,54,27,72,27,
54,54,108,108,108,108,216,72,72,16,144,24,144,8,144,72,72,72,144,8,72,72,24,
48,2,16,288,32,288,24,108,18,108,2,108,18,18,54,108,1,18,18,54,12,36,108,27,
108,108,108,54,108,216,9,36,27,36,108,54,108,108,54,216,9,54,54,27,18,72,54,
54,81,108,54,27,36,27,36,27,27,108,108,108,72,108,108,27,54,54,108,108,27,36,
27,54,108,54,72,54,144,27,54,36,36,6,18,54,54,108,108,36,36,36,108,54,54,36,
36,16,48,48,48,72,144,24,72,24,72,24,72,72,72,72,72,144,12,6,36,6,18,48,48,
144,96,72,24,72,36,54,108,9,54,6,54,3,54,18,54,27,54,108,9,36,54,108,27,18,27,
18,27,54,18,18,18,18,18,54,27,54,54,27,108,9,36,9,36,27,54,27,36,27,108,27,18,
18,54,54,18,18,36,36,18,18,36,36,36,36,48,32,16,48,32,8,24,72,72,8,24,72,72,
36,6,36,2,36,18,18,18,36,2,6,18,18,12,16,144,144,2,24,72,72,18,27,54,18,1,18,
27,54,18,9,18,27,9,9,9,9,18,18,36,9,27,18,18,18,36,16,16,16,24,8,24,24,12,18,
36,6,18,6,18,6,18,18,18,18,18,36,48,6,6,18,24,9,9,9,9,9,9,9,16,8,24,24,1,6,18,
18,2,6,18,18,2,18,18,9,8,3,1,3,6,6,1,3,3,2,2,1,1,1,1],[1,42,1,42,33,33,8,32,2,
36,36,42,6,108,36,27,90,54,90,12,36,33,12,27,180,180,42,126,54,54,48,8,48,24,
24,96,32,96,96,32,96,32,36,2,36,6,6,36,36,9,36,36,36,36,36,18,36,36,6,36,42,
108,27,90,54,90,18,18,27,36,18,27,27,27,27,108,108,108,108,36,36,36,42,54,36,
54,108,54,108,108,6,54,54,42,54,108,54,108,18,54,72,16,48,24,48,48,8,24,24,24,
8,24,24,24,48,2,16,96,96,96,96,32,96,96,24,36,18,36,6,12,6,18,18,1,18,6,18,12,
36,36,9,36,36,36,18,36,27,27,36,36,18,36,36,18,9,18,18,18,18,18,36,54,90,27,
54,27,108,108,9,18,36,27,27,108,108,9,54,18,54,18,108,54,54,108,36,36,6,54,54,
36,18,36,54,36,108,54,54,108,54,36,16,16,16,32,32,48,24,48,24,24,24,24,8,24,
24,24,24,24,12,2,12,6,6,16,48,48,96,24,24,24,24,24,24,24,36,18,36,9,18,18,6,1,
18,18,6,9,18,6,6,18,36,9,36,27,27,9,9,9,27,9,18,18,18,9,18,18,9,18,18,18,9,9,
54,54,54,18,54,18,18,18,54,18,54,18,54,54,18,18,36,36,36,36,16,16,16,32,32,32,
32,8,24,24,24,24,24,8,24,12,6,12,2,12,6,6,6,2,6,6,6,12,48,2,24,24,24,24,24,24,
24,18,9,18,9,9,6,18,18,6,18,18,9,27,9,9,27,9,9,9,18,18,18,18,18,18,16,16,16,8,
8,8,24,12,6,12,6,6,6,6,2,6,6,6,6,6,2,6,6,6,2,6,2,24,9,9,9,9,9,9,9,16,8,8,8,1,
6,6,6,2,6,6,6,6,6,2,6,6,6,6,9,8,1,1,1,2,2,6,6,2,1,2,1,1,2,2,1,1,1,1],[1,42,1,
42,9,57,8,32,2,36,36,42,6,108,36,27,18,144,54,162,12,36,9,24,12,27,36,144,36,
6,90,18,90,72,48,8,48,24,24,96,32,96,192,64,36,2,36,6,6,36,36,9,36,36,36,36,
36,18,36,36,6,36,42,108,27,18,72,54,72,18,18,18,27,36,18,9,72,45,9,45,36,180,
36,72,72,36,36,36,36,6,36,18,36,36,18,18,36,18,18,36,36,36,72,72,12,36,72,36,
36,54,54,72,108,72,36,18,18,16,48,24,48,48,8,24,24,24,8,24,24,24,48,2,16,96,
192,96,32,192,24,36,18,36,6,12,6,18,18,1,18,6,18,12,36,36,9,36,36,36,18,36,9,
36,45,36,36,18,36,36,18,9,18,18,18,18,18,36,54,18,72,9,36,18,18,9,18,36,72,36,
72,9,18,36,9,36,9,36,36,36,36,36,9,36,36,72,108,36,36,72,54,54,36,6,18,36,18,
36,36,18,36,18,36,36,18,36,36,36,36,36,36,18,18,36,36,36,36,16,16,16,64,48,24,
48,24,24,24,24,8,24,24,24,24,24,12,2,12,6,6,16,48,48,96,24,24,24,48,48,36,18,
36,9,18,18,6,1,18,18,6,9,18,12,18,36,9,36,9,18,18,9,9,18,18,18,18,18,18,18,18,
9,18,18,9,36,18,9,9,18,36,18,36,18,18,36,18,18,36,18,18,9,9,9,9,36,36,18,18,
36,36,18,18,36,36,36,36,16,32,32,32,32,32,8,24,24,24,24,24,8,24,12,6,12,2,12,
6,6,6,2,6,6,6,12,48,2,24,24,24,48,24,24,18,9,18,18,18,6,18,18,6,9,9,9,9,18,9,
9,9,9,18,18,18,18,18,9,9,18,18,16,16,16,8,8,8,24,12,6,12,6,6,6,6,2,6,6,6,6,6,
2,6,6,12,4,24,9,9,9,9,9,9,9,16,8,8,8,1,6,6,6,2,6,6,6,6,6,2,12,6,6,9,8,1,1,1,4,
6,6,2,1,2,2,2,1,1,1,1,1,1],[1,18,3,54,25,75,4,128,16,2,12,12,54,18,108,36,15,
42,90,126,1,54,75,75,12,72,45,252,90,252,30,270,30,90,180,72,100,128,16,48,48,
16,16,48,48,12,6,36,6,18,36,36,3,12,36,36,36,36,6,36,36,18,18,108,36,45,126,
90,126,72,54,54,108,27,36,108,72,18,36,15,45,9,27,48,144,180,36,180,25,45,252,
90,270,90,90,108,18,90,45,45,54,54,144,144,144,144,360,4,24,30,84,72,180,90,
168,90,90,144,144,6,54,18,18,64,8,8,64,48,48,60,168,120,120,48,16,48,16,48,48,
48,48,48,48,48,96,1,32,192,12,96,288,36,6,36,2,36,18,18,18,36,1,6,18,18,12,12,
36,9,36,36,36,18,36,72,9,27,12,36,18,36,36,18,72,3,18,18,15,42,54,54,27,36,18,
45,45,27,27,144,144,180,36,36,27,18,54,36,108,27,27,54,108,54,54,9,18,24,12,
72,36,144,144,18,54,108,54,54,30,30,90,54,144,144,12,72,90,84,72,180,90,144,
18,54,36,108,54,54,72,72,144,72,72,72,144,72,144,144,144,144,54,108,54,108,54,
54,108,108,108,108,64,64,64,48,24,24,8,24,12,48,24,60,36,192,18,16,96,120,24,
16,48,48,16,16,48,48,25,32,36,4,12,4,12,12,36,32,96,12,18,36,3,18,6,18,3,18,
18,18,9,18,36,4,12,3,12,18,36,27,27,9,18,3,3,27,9,18,6,18,9,18,18,9,36,6,18,
15,9,48,27,18,27,27,108,9,72,36,72,36,144,54,54,108,18,18,36,36,36,36,54,18,
27,9,27,9,54,54,108,108,18,18,18,18,4,24,30,6,72,72,144,72,54,108,54,24,72,36,
54,108,54,18,18,32,64,48,16,24,4,24,2,8,16,24,24,1,8,48,36,12,96,48,72,12,12,
15,42,16,30,30,12,24,12,12,12,36,12,36,72,4,12,12,12,12,12,6,9,18,3,9,1,6,9,
18,12,12,18,9,9,9,9,9,9,27,9,9,9,18,3,9,18,18,18,9,9,24,12,18,36,36,54,18,54,
18,18,18,18,18,18,32,16,16,48,16,16,16,12,16,12,6,8,3,1,3,1,1,3,3,8,12,12,24,
3,12,6,15,9,48,4,24,30,6,4,4,12,8,12,12,12,12,24,3,9,9,4,18,3,3,9,9,6,18,4,8,
16,16,12,12,6,1,6,1,2,3,3,3,3,3,3,1,3,3,3,3,3,9,3,24,12,18,4,3,4,4,4,8,4,4,12,
3,4,1,1,1,2,3,3,3,3,3,3,6,4,1,4,3,1,1,1,1,1],[1,24,6,24,3,18,13,39,4,128,16,
36,72,12,36,72,24,24,4,18,36,3,36,12,72,18,36,12,36,1,18,12,12,39,39,24,9,72,
18,72,72,14,126,6,18,84,96,24,16,16,52,96,128,48,16,48,24,18,72,36,72,36,72,
36,24,36,72,12,36,36,12,12,36,144,12,1,12,6,36,18,36,9,18,36,36,18,18,36,36,9,
36,3,36,9,3,9,12,36,72,72,36,36,36,36,12,36,36,12,72,72,13,9,72,12,42,126,18,
18,6,18,9,36,9,18,18,36,36,36,36,72,2,6,6,42,18,36,18,84,18,18,36,36,2,18,6,6,
64,48,96,96,24,16,48,12,24,48,48,32,4,16,56,24,48,16,48,48,48,48,1,32,96,8,64,
192,12,6,24,18,36,18,36,18,36,18,36,36,36,36,72,36,36,12,36,36,72,12,36,36,36,
72,4,12,3,12,12,3,18,9,3,18,12,36,9,36,18,18,36,36,9,18,9,18,9,9,36,36,36,36,
36,36,36,36,9,18,9,18,36,18,36,18,72,6,18,36,36,6,18,36,18,18,14,6,18,18,36,
36,6,18,18,42,18,36,18,36,6,18,36,18,18,18,36,18,18,36,18,36,36,36,36,18,36,
18,36,18,18,36,36,36,36,64,64,64,24,24,48,48,48,16,24,48,4,16,12,24,12,48,48,
32,12,4,12,6,8,24,24,8,48,48,16,48,4,4,13,32,24,96,8,24,64,192,32,32,8,96,96,
12,3,12,18,18,18,36,18,18,18,18,18,36,18,18,36,36,12,12,1,3,9,9,9,9,1,18,9,18,
6,3,18,3,12,36,9,18,9,36,18,18,18,18,36,18,18,36,18,18,36,18,9,18,9,36,36,18,
18,18,36,36,2,6,6,2,18,36,18,18,36,18,12,18,36,18,6,6,16,64,32,16,12,24,24,12,
48,4,24,24,12,12,24,24,4,12,12,12,12,4,8,6,12,3,6,12,12,4,14,6,8,16,24,24,24,
3,9,9,6,18,18,18,18,18,18,18,36,3,9,9,9,3,9,9,9,18,6,6,18,18,16,16,16,32,32,
16,16,16,12,12,12,12,12,12,4,12,4,12,4,1,4,8,8,1,24,6,12,3,6,3,12,12,2,6,6,2,
8,16,8,8,8,48,24,24,9,3,9,1,9,3,9,16,4,16,8,12,6,4,1,3,3,3,6,6,6,6,3,4,4,4,4,
8,8,3,3,1,3,2,1,3,4,4,3,1,1,1],[1,18,3,54,25,75,4,128,16,6,4,12,54,54,36,36,
27,54,162,162,1,54,75,75,36,24,81,324,162,324,26,234,30,90,156,72,100,128,16,
48,48,16,16,48,48,12,18,36,18,54,12,36,1,12,12,36,36,36,6,36,36,18,54,36,36,
81,162,162,162,72,162,162,324,9,36,36,72,18,36,27,81,3,9,36,108,324,108,324,
25,81,324,78,234,90,90,324,6,162,81,81,18,18,108,108,108,108,648,2,18,30,42,
54,180,90,84,90,90,108,108,2,18,6,6,64,24,16,48,108,216,32,4,104,120,48,16,48,
16,48,48,48,48,48,48,48,96,1,32,96,8,64,192,36,6,36,6,36,54,54,18,36,3,6,54,
18,36,4,36,3,36,12,36,18,36,72,3,9,12,36,18,36,36,18,72,3,18,18,27,54,162,162,
9,36,18,81,81,9,9,108,108,324,36,36,81,18,162,36,324,9,9,18,36,18,18,9,18,18,
18,54,54,108,108,6,18,36,18,18,26,30,162,18,108,108,6,54,90,42,54,180,90,108,
6,18,108,36,18,18,54,108,108,54,54,108,108,54,108,108,108,108,18,36,18,36,18,
18,36,36,36,36,64,64,64,48,72,4,48,24,108,12,144,32,4,12,12,4,4,12,12,18,8,72,
120,8,16,48,48,16,16,48,48,25,32,24,96,8,24,8,8,24,24,64,192,32,32,8,96,96,12,
18,36,3,18,18,18,9,18,54,18,9,18,36,6,18,1,12,18,36,9,9,9,18,1,3,9,9,6,6,18,9,
18,18,9,36,6,18,27,3,36,81,18,9,9,36,9,54,54,54,54,108,18,18,36,18,18,54,54,
54,54,18,18,9,9,9,9,18,18,36,36,18,18,18,18,2,18,30,2,54,108,108,54,18,36,18,
36,108,12,18,36,18,6,6,16,64,32,16,24,12,24,6,12,12,72,72,24,12,4,12,4,12,12,
12,12,12,12,12,24,4,8,12,27,54,16,26,30,8,16,24,24,24,24,24,24,24,8,24,24,24,
24,24,6,9,18,3,9,3,6,9,18,18,18,18,9,9,3,9,3,9,9,9,9,9,18,3,9,18,18,18,9,9,18,
18,6,54,54,18,18,18,18,18,18,18,18,18,16,16,16,32,32,32,32,16,16,16,12,24,12,
18,4,12,24,4,12,12,4,4,12,12,1,12,8,8,1,24,6,27,3,36,2,18,30,2,8,8,8,16,8,8,8,
24,24,24,24,48,24,24,3,9,9,6,18,1,3,9,9,6,18,16,4,32,16,8,12,6,3,6,4,3,3,1,3,
3,18,18,6,8,3,4,4,4,4,8,8,8,8,3,6,1,3,2,1,3,3,6,4,4,8,3,1,1,1],[1,6,144,3,18,
13,39,4,128,16,36,4,72,18,36,3,72,12,36,18,36,72,72,72,72,72,1,18,72,39,39,36,
24,9,72,18,72,36,14,126,6,18,84,24,96,52,384,384,128,96,48,96,16,48,72,18,72,
36,72,72,36,12,1,72,12,36,36,72,36,6,18,36,36,9,36,36,18,18,36,36,18,9,36,3,9,
3,9,12,36,72,36,72,36,36,36,72,72,36,72,72,144,36,144,72,72,144,72,72,13,9,72,
36,42,126,18,18,36,6,18,9,9,18,18,36,36,36,36,72,2,6,6,42,18,36,18,84,18,18,
36,36,72,2,18,72,6,6,64,24,16,48,12,48,48,24,32,4,48,56,24,384,48,96,96,16,48,
48,48,48,48,1,32,96,8,64,192,36,36,72,18,36,18,36,18,36,36,36,18,36,18,72,4,
36,3,36,12,36,3,9,36,36,18,36,36,18,18,72,3,36,12,18,18,36,36,18,9,36,18,9,9,
9,9,36,36,36,36,36,36,36,36,9,9,18,36,18,18,72,6,18,36,36,6,36,18,36,18,18,36,
36,36,36,72,72,36,36,36,72,72,72,72,72,72,72,72,14,6,18,18,36,36,36,6,18,18,
42,18,36,18,36,36,36,6,18,36,36,18,18,18,36,18,18,36,18,36,36,36,36,18,36,36,
18,36,18,18,36,36,36,36,36,64,64,64,48,24,48,4,48,24,12,12,48,48,96,32,96,24,
12,4,24,12,6,48,8,24,24,48,8,48,48,48,48,16,48,48,24,13,96,96,32,24,96,96,96,
8,24,64,192,32,32,8,96,96,36,18,36,18,18,18,36,18,18,9,18,18,36,18,18,36,36,
36,36,1,36,18,36,9,9,1,18,9,6,18,18,18,9,18,18,36,36,36,36,3,3,12,36,18,9,36,
9,9,36,9,18,18,36,18,18,18,18,36,18,9,9,18,18,18,18,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,2,6,6,36,2,18,36,18,18,36,36,18,36,36,36,36,36,36,36,36,12,
18,36,18,6,36,36,6,16,64,32,16,24,24,12,12,12,24,24,24,96,12,24,24,4,12,12,12,
12,12,4,8,6,12,3,12,12,6,48,48,48,12,14,6,96,8,16,24,24,24,96,96,96,48,96,96,
18,9,18,18,18,36,18,9,18,9,18,18,18,18,36,3,9,3,9,9,9,9,9,18,18,6,6,18,18,18,
18,18,18,18,18,36,36,36,36,36,36,36,36,16,16,16,32,32,16,16,16,12,24,4,12,24,
12,12,12,4,12,12,12,12,1,12,24,8,24,8,1,24,6,12,6,3,3,12,12,12,2,6,6,12,2,8,
16,8,8,8,24,24,48,24,24,9,9,9,18,18,1,9,9,9,18,18,16,4,32,16,8,12,12,6,3,24,3,
24,6,24,6,3,3,6,6,6,12,12,24,24,24,24,24,9,4,4,4,4,8,8,3,1,3,2,1,3,3,6,6,4,4,
8,3,6,3,1,1],[1,105,35,140,35,105,315,126,210,105,420,120,315,70,126,105,35,
105,35,70,105,70,126,120,105,105,210,105,70,35,21,42,35,21,30,7,1],[1,42,1,42,
49,49,112,14,28,84,42,42,84,84,63,126,126,126,49,63,252,70,210,126,126,112,
112,112,112,112,112,112,64,84,14,84,42,42,28,84,7,84,28,84,84,84,42,84,84,63,
126,126,126,21,84,42,63,63,21,21,168,168,252,70,126,126,42,168,168,8,84,126,
56,84,252,126,168,14,42,56,28,112,112,112,112,112,112,112,112,64,84,42,84,42,
42,7,42,42,42,7,84,42,84,21,21,42,42,21,42,42,63,21,168,63,42,21,21,84,21,84,
84,84,84,168,42,42,84,8,84,126,14,84,168,168,84,42,84,42,64,56,56,56,28,28,28,
28,28,28,28,112,112,56,56,56,112,56,112,56,42,21,42,7,42,21,42,28,28,21,21,7,
21,21,21,21,21,42,42,84,84,42,84,84,42,42,42,42,42,64,56,7,28,28,28,28,28,28,
28,56,56,112,56,56,56,56,56,8,21,21,21,28,42,7,21,21,21,42,42,7,7,7,7,7,7,7,
28,7,56,8,21,8,8,8,7,7,7,7,7,7,7,7,7,7,8,8,8,7,7,1,1],[1,26,45,90,3,135,11,20,
90,270,13,90,270,5,30,45,45,90,135,45,405,135,45,90,1,135,13,45,30,30,270,6,
100,40,22,50,33,150,45,90,135,60,60,180,120,30,90,90,45,30,270,90,30,90,135,
90,90,13,90,135,60,45,15,135,90,15,90,135,135,135,135,45,45,45,15,405,45,135,
45,135,270,45,135,90,180,10,36,6,18,18,36,90,100,50,100,180,90,180,20,120,120,
11,90,90,150,45,270,11,150,50,11,135,45,135,45,135,270,5,30,45,45,15,30,30,30,
30,5,10,180,20,180,60,60,20,6,90,15,90,45,90,45,90,45,15,135,45,15,45,135,135,
45,45,135,5,15,135,15,45,15,15,45,45,45,135,45,45,45,135,45,45,45,45,45,45,20,
40,20,10,30,30,20,60,18,36,36,12,18,18,54,6,18,18,18,18,12,30,45,30,90,30,90,
30,50,180,50,50,90,90,90,60,30,20,60,60,11,50,45,45,10,30,30,30,50,50,135,270,
90,15,30,45,45,45,135,90,45,45,45,15,15,45,45,15,45,15,15,30,45,30,45,90,60,
10,15,15,45,30,30,90,60,60,60,60,12,18,6,12,18,45,15,45,45,45,45,45,15,45,45,
45,45,45,45,45,40,10,40,20,20,20,20,20,40,40,60,10,60,30,30,10,30,20,10,60,10,
10,60,5,18,18,18,36,36,6,6,6,54,18,54,18,18,15,30,30,45,15,45,15,45,15,30,30,
50,90,90,90,30,15,30,60,45,45,5,15,15,15,45,45,45,15,45,15,5,15,15,15,45,15,
45,15,15,15,15,15,5,15,15,15,5,45,5,5,45,15,10,90,90,6,12,12,6,6,18,6,18,6,18,
6,12,12,1,45,20,20,40,10,20,10,10,20,10,20,20,20,20,20,10,20,20,30,60,20,10,
10,30,10,10,10,20,15,5,10,15,18,18,18,6,18,18,18,15,15,15,45,15,15,15,15,15,
15,5,15,15,15,15,15,15,15,5,15,15,15,30,6,6,6,12,12,6,6,6,6,18,18,6,6,6,2,3,3,
9,20,10,20,10,10,10,10,20,20,5,10,10,10,10,5,5,15,5,15,5,18,1,15,15,6,6,6,6,6,
6,6,6,3,6,1,9,1,9,1,3,10,5,5,5,5,5,5,5,2,2,1,3,3,6,3,3,3,1,3,3,3,5,2,1,2,1,3,
1,3,1,1,3,1,1,1,1,1,1,1,1],[1,66,25,90,3,75,10,4,80,150,270,33,150,270,5,90,
15,15,90,75,45,135,45,45,90,1,75,33,45,30,90,90,6,120,60,20,30,60,10,60,30,
100,80,44,60,240,240,90,90,90,75,90,270,90,30,90,135,90,90,33,150,135,180,15,
15,45,90,45,90,45,45,45,45,45,25,45,45,135,45,45,75,135,90,45,135,90,180,40,
36,6,18,18,36,60,120,60,120,120,60,120,30,60,60,60,10,60,10,60,60,30,30,30,30,
30,30,60,5,20,40,100,60,60,180,60,60,240,1,20,120,24,90,45,90,45,90,45,90,75,
45,135,45,15,45,135,135,45,45,45,5,45,45,15,45,45,45,45,45,15,45,45,45,15,45,
45,45,45,45,45,45,40,80,80,40,40,18,36,36,36,18,6,18,6,18,18,18,18,36,30,60,
60,60,120,60,60,60,60,60,30,30,60,30,30,20,60,30,60,60,10,30,30,60,30,30,30,
30,5,15,15,60,60,20,120,60,60,60,60,25,20,11,15,60,60,120,24,24,24,45,45,45,
45,45,45,45,15,45,45,45,15,45,45,45,80,40,40,80,40,10,20,18,18,18,36,36,18,6,
18,18,18,18,18,18,30,30,30,60,60,60,60,30,15,30,30,30,10,30,15,15,5,15,15,15,
60,5,10,15,15,25,15,45,15,60,24,24,24,6,1,45,40,20,10,20,10,10,20,20,20,18,18,
18,18,18,6,18,30,15,15,15,15,15,5,15,15,15,5,30,15,15,15,15,24,6,6,6,6,6,1,3,
3,20,10,20,10,10,20,5,18,4,15,15,6,6,6,6,3,6,3,3,1,3,3,3,10,5,5,5,4,4,4,6,3,3,
3,3,3,1,3,5,4,1,3,1,1,1,1],[1,6,15,150,3,45,10,30,4,80,10,90,3,90,60,60,90,5,
15,90,45,45,45,90,15,45,75,90,180,90,180,1,45,3,75,30,30,90,30,90,90,6,60,60,
4,100,40,60,240,240,80,10,60,30,30,60,10,10,30,30,90,45,90,30,90,90,90,3,45,
30,30,180,90,45,90,90,90,15,15,45,45,90,45,45,90,15,45,45,45,45,45,45,45,45,
45,45,90,75,45,90,90,90,180,30,180,180,10,90,30,90,40,36,6,18,18,36,30,60,60,
60,60,60,60,60,20,60,60,60,60,60,40,5,40,120,60,30,60,60,60,240,30,10,30,30,
60,60,10,30,30,30,30,30,30,30,30,30,30,30,30,60,1,20,120,24,45,90,90,45,45,15,
45,45,45,90,90,30,90,45,45,45,45,45,45,5,45,45,45,15,15,45,45,45,45,45,45,45,
45,45,15,45,45,45,45,45,45,90,90,40,40,40,40,40,40,40,18,36,36,36,18,6,18,6,
18,18,18,18,36,30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,20,60,60,60,120,
30,15,5,15,15,30,30,30,30,30,30,10,30,30,30,30,30,30,30,30,30,30,10,10,30,30,
30,30,30,30,30,30,30,1,25,10,60,60,20,120,24,24,24,45,45,45,15,45,45,45,45,45,
45,45,15,45,45,45,20,40,40,40,40,40,40,40,10,18,18,18,36,36,18,6,18,18,18,18,
18,18,15,30,30,30,30,30,30,30,30,30,60,15,5,15,15,15,15,5,10,15,15,15,15,15,
15,30,30,30,30,10,30,30,30,10,30,60,24,24,24,6,1,45,20,20,20,40,10,10,10,10,
10,10,10,18,18,18,18,18,6,18,15,15,15,30,15,15,5,15,15,5,15,30,15,15,15,15,24,
6,6,6,6,3,6,1,3,20,5,10,10,10,10,10,10,10,18,4,15,15,6,6,6,3,6,6,1,3,3,3,3,3,
5,5,5,10,4,4,4,6,3,3,3,3,1,3,3,5,4,1,3,1,1,1,1],[1,32,60,120,1,60,15,15,20,20,
120,360,16,120,360,120,120,15,90,60,90,180,60,45,180,90,45,180,45,90,90,45,60,
180,180,180,180,15,45,90,36,160,40,40,80,20,80,60,120,60,120,60,40,20,60,120,
60,20,60,20,90,120,180,60,90,360,180,180,90,180,90,60,180,180,180,180,120,180,
180,180,360,180,180,60,180,360,90,15,90,15,90,15,180,45,180,90,90,90,90,60,90,
15,180,90,60,90,90,90,180,45,90,90,90,90,180,90,180,45,90,45,45,45,90,45,45,
90,45,90,90,90,10,72,36,36,36,72,120,160,80,160,240,120,240,20,120,120,120,
120,40,40,20,120,120,80,60,120,60,60,60,15,15,120,60,120,120,120,60,60,60,20,
120,120,60,60,20,60,60,180,45,180,90,90,60,180,30,180,120,180,90,180,90,180,
180,90,45,90,90,90,180,90,30,90,90,90,30,180,30,180,90,180,180,180,60,90,90,
180,90,180,180,180,90,45,90,15,45,45,90,90,180,45,45,90,15,90,90,45,90,90,45,
45,45,20,40,20,10,40,10,10,20,20,20,20,36,72,72,72,36,36,36,36,30,60,120,120,
80,240,120,60,30,60,60,20,120,120,120,120,60,60,30,30,15,30,15,30,15,15,30,15,
15,15,30,15,15,15,60,60,60,60,90,90,180,45,90,15,90,90,180,45,90,15,45,90,90,
45,45,40,10,40,20,20,40,40,20,20,20,40,40,20,10,20,10,20,10,10,10,20,10,10,20,
20,40,40,10,20,20,36,72,72,36,36,30,15,30,30,30,30,30,60,30,60,30,60,60,30,60,
15,30,30,30,30,60,15,30,30,30,15,30,15,15,15,15,15,15,15,30,30,15,15,15,15,15,
6,6,45,20,20,40,10,20,20,20,20,20,20,40,20,10,20,20,20,20,10,10,20,10,10,10,
10,20,10,10,10,20,36,15,30,30,15,15,30,30,15,30,30,30,60,30,15,15,15,15,15,15,
12,12,6,6,6,12,6,12,6,6,10,20,20,10,10,20,20,10,10,10,10,15,15,12,6,12,6,6,6,
12,12,6,6,10,1,6,6,2,2,1,1,1,2,1,2,1,1,1],[1,30,45,30,3,135,20,20,90,90,15,90,
90,15,90,15,45,90,135,135,135,135,15,90,1,135,15,15,90,90,90,36,120,40,60,60,
180,120,60,40,60,180,90,30,90,45,90,90,90,30,90,45,90,90,15,90,45,180,45,45,
135,90,45,90,45,135,135,135,45,45,135,45,135,45,135,45,45,270,15,45,90,180,10,
36,108,108,120,60,120,20,180,20,180,60,20,15,15,120,60,120,180,20,20,180,60,
20,90,45,90,15,90,45,90,45,45,45,45,15,45,45,45,45,45,135,15,45,135,15,45,45,
45,45,45,15,135,45,15,45,135,45,45,45,45,45,45,40,10,40,30,30,72,108,36,108,
72,30,60,60,60,30,20,60,60,60,30,15,45,45,15,30,45,45,60,60,60,60,60,20,60,45,
45,45,15,45,45,45,15,45,45,45,45,45,45,45,20,20,20,10,20,30,30,20,20,10,30,20,
20,36,36,36,30,15,30,60,30,15,30,15,45,15,15,45,15,45,15,15,45,15,15,60,6,6,
45,20,10,20,20,20,30,10,10,10,10,30,20,20,36,15,15,15,15,15,15,15,15,15,15,15,
15,15,15,12,18,12,18,10,10,10,10,10,10,10,15,15,6,6,6,6,6,6,10,1,6,6,2,3,1,1,
1,1],[1,30,45,30,1,75,30,20,20,90,90,15,90,90,15,90,15,45,90,45,45,135,135,90,
90,15,90,15,1,45,15,90,90,90,90,36,120,40,60,20,100,120,120,60,40,20,60,120,
40,90,30,90,45,90,90,90,30,90,45,90,90,15,90,45,180,45,15,135,30,90,45,90,15,
45,30,90,45,45,90,90,45,45,45,45,45,45,45,45,45,90,90,90,180,90,45,90,15,180,
10,36,36,36,120,60,120,20,60,120,20,20,60,60,120,15,15,120,60,120,60,120,20,
60,60,20,20,120,90,45,90,15,90,45,90,45,45,45,45,15,45,45,45,45,45,45,90,45,
15,15,45,90,45,45,45,45,45,15,45,45,15,90,45,45,45,45,90,45,45,45,45,40,10,40,
10,10,40,40,72,36,72,36,36,30,60,60,60,30,20,60,60,60,30,15,15,45,30,15,30,15,
15,30,30,60,60,60,60,60,60,20,45,45,45,15,45,45,45,15,45,45,45,45,45,45,45,20,
20,20,10,20,10,10,20,20,20,20,20,10,20,10,20,20,20,36,36,36,30,15,30,60,30,15,
30,15,15,30,15,15,15,15,30,15,30,15,15,15,15,15,30,60,6,6,45,20,10,20,20,20,
40,10,20,10,10,10,10,10,20,20,20,40,36,15,15,15,15,15,15,15,15,15,15,15,15,15,
15,12,6,12,12,6,12,10,10,10,10,10,10,10,15,15,6,6,6,6,6,6,10,1,6,6,2,1,2,1,1,
1,1],[1,2,45,90,3,135,20,20,90,1,90,15,15,45,90,135,135,135,135,90,90,45,90,
90,1,135,1,45,90,90,90,36,40,40,60,60,180,120,60,60,180,120,30,45,90,30,90,90,
90,1,45,45,45,135,90,45,135,90,135,135,90,45,90,90,45,135,135,45,135,45,45,45,
45,45,270,90,45,45,90,90,180,180,10,72,36,108,108,72,20,120,120,20,120,120,
180,20,180,20,60,60,15,15,180,20,180,60,60,20,15,90,90,45,45,15,45,45,45,90,
90,135,15,135,15,45,45,15,135,45,45,15,45,135,45,45,45,45,45,45,45,45,45,45,
45,45,45,45,45,20,10,30,30,20,36,72,72,108,36,108,36,36,36,20,60,60,30,30,20,
60,60,60,60,60,60,15,45,45,30,15,45,45,30,60,60,60,60,15,45,45,15,45,45,45,45,
45,45,45,45,45,45,45,10,20,20,10,30,30,20,10,30,10,10,10,20,36,36,36,36,36,36,
36,60,15,30,30,15,30,30,60,45,15,45,15,15,15,45,15,45,15,15,15,6,6,45,10,10,
10,20,20,30,10,30,10,10,10,10,10,36,15,15,15,15,15,15,15,15,15,15,15,15,15,15,
12,18,18,12,10,10,10,10,10,10,10,15,15,6,6,6,6,6,6,10,1,6,6,2,3,1,1,1,1],[1,2,
45,90,1,75,30,20,20,90,1,90,15,15,45,90,45,45,135,135,90,90,90,90,45,90,90,15,
15,15,15,90,90,90,90,36,40,40,60,20,100,120,120,60,20,60,120,120,40,30,45,90,
30,90,90,90,15,15,45,15,135,90,30,15,45,90,30,90,45,45,90,90,90,45,90,90,45,
45,45,45,45,45,45,45,45,45,90,90,90,90,180,90,90,45,90,45,180,180,10,72,36,36,
36,72,20,120,120,20,120,120,60,120,20,60,20,60,60,120,15,15,60,120,60,20,60,
60,20,120,15,90,90,45,45,15,45,45,45,90,90,45,90,45,45,15,45,15,90,45,15,45,
15,45,90,45,45,45,45,45,90,45,45,45,45,45,45,45,45,45,45,45,45,20,10,10,10,20,
40,40,36,72,72,36,72,36,72,20,60,60,30,30,60,60,20,60,60,60,60,15,15,45,30,30,
15,15,15,30,30,30,60,60,60,60,45,45,15,15,45,45,45,45,45,45,45,45,45,45,45,10,
20,20,10,10,10,20,20,20,20,20,10,20,20,20,20,36,36,36,60,15,30,30,15,30,30,60,
15,30,15,15,15,15,15,30,15,30,15,15,15,15,15,30,6,6,45,20,10,20,20,20,10,20,
10,10,10,10,10,20,20,20,36,15,15,15,15,15,15,15,15,15,15,15,15,15,15,12,6,12,
6,12,12,10,10,10,10,10,10,10,15,15,6,6,6,6,6,6,10,1,6,6,2,1,2,1,1,1,1],[1,60,
3,180,15,45,20,20,15,60,90,180,135,540,270,45,45,270,135,1,180,45,45,90,360,
135,270,270,270,36,80,60,240,60,180,60,60,180,60,20,180,60,90,45,270,15,45,
180,270,15,90,180,270,270,270,45,270,270,60,135,540,270,135,135,270,135,540,
135,135,270,135,270,540,540,135,270,90,15,135,270,270,90,10,36,108,108,240,60,
360,20,240,180,180,180,360,15,15,180,60,180,20,180,180,60,180,60,180,180,360,
270,45,270,15,270,45,45,135,270,60,270,45,270,180,270,135,270,540,90,270,135,
270,270,135,540,45,45,135,135,135,270,135,270,270,20,10,30,30,20,60,60,108,36,
108,36,108,80,180,360,60,180,30,45,90,15,45,15,45,45,15,15,45,45,60,180,180,
60,20,180,180,90,135,270,15,135,15,90,135,270,45,135,60,10,60,10,30,30,10,30,
30,10,30,60,60,60,60,60,60,36,108,108,60,90,15,90,15,90,45,45,45,90,45,15,45,
15,45,45,45,45,45,45,45,90,60,6,6,45,20,30,60,10,30,30,30,10,30,30,30,30,30,
60,20,60,36,30,45,90,15,45,15,45,45,15,15,45,45,6,18,18,18,6,18,10,30,30,10,
30,10,30,15,15,18,6,18,6,18,18,10,1,6,6,1,3,3,3,1,3,1],[1,60,1,60,15,15,20,20,
15,60,90,60,45,180,90,45,45,90,45,16,60,15,90,45,90,90,36,80,20,80,60,60,60,
20,60,60,20,60,20,90,15,90,15,15,60,90,15,90,60,90,90,90,45,90,90,45,90,60,
180,45,45,90,45,45,45,45,90,45,90,60,90,90,10,36,36,36,80,60,120,80,20,60,60,
60,15,15,60,60,60,60,20,60,20,60,20,60,60,90,45,90,45,30,15,45,45,90,60,15,90,
90,60,45,90,90,90,45,90,90,45,45,45,45,90,90,45,20,10,10,10,20,20,20,36,36,36,
36,36,72,80,60,120,60,60,30,15,30,15,15,15,15,15,15,15,15,15,60,60,60,60,60,
60,20,90,45,90,45,15,45,90,15,90,45,45,20,10,20,10,10,10,10,10,10,20,20,20,10,
10,20,20,36,36,36,60,30,15,30,15,30,15,15,15,15,15,15,15,15,15,15,15,15,15,15,
60,6,6,45,20,10,20,10,10,10,10,10,10,10,10,10,10,20,20,36,30,15,30,15,15,15,
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],[1,36,42,108,33,8,1,16,64,32,126,324,108,2,18,36,36,108,27,162,
90,270,108,42,54,144,24,48,24,72,42,48,12,36,33,48,144,192,96,96,32,18,108,
108,162,270,36,108,108,108,108,36,6,54,108,54,54,9,108,36,108,18,54,27,162,27,
108,324,108,6,54,54,108,18,8,16,64,32,64,72,144,144,72,24,8,72,24,72,2,2,4,16,
16,32,42,6,36,108,36,36,27,54,90,90,144,144,36,36,42,54,96,24,48,108,54,27,
108,54,18,162,54,162,108,108,18,1,54,18,18,54,54,54,27,27,81,54,9,27,54,18,54,
54,108,108,96,8,48,48,24,24,16,32,192,96,32,96,64,72,72,72,36,24,72,24,72,6,
12,6,18,6,36,12,6,18,12,12,36,48,48,36,36,54,90,36,36,18,18,9,36,36,36,36,36,
36,18,18,27,54,27,108,108,36,6,54,54,36,18,24,24,24,48,16,54,18,54,81,54,54,9,
54,6,27,54,9,81,9,27,18,54,48,48,24,24,48,24,8,24,24,24,16,48,8,16,2,16,16,32,
96,24,72,18,36,36,18,6,2,18,6,18,36,18,18,36,6,1,18,18,6,36,4,36,2,4,9,36,18,
54,18,54,18,36,18,18,9,27,27,18,9,9,54,18,54,18,36,36,24,32,16,32,27,27,27,9,
27,27,27,48,24,24,8,24,24,24,24,24,8,24,48,2,12,12,6,6,48,48,24,24,24,18,18,
18,6,18,6,18,18,6,18,9,18,18,6,12,6,6,2,12,27,18,9,18,9,27,9,9,18,18,16,16,16,
8,27,24,24,12,6,6,12,6,2,6,6,6,1,4,2,4,24,18,9,9,9,6,9,9,9,9,16,8,8,8,6,6,2,6,
6,6,6,6,1,2,12,6,6,2,4,9,8,1,3,6,1,3,6,2,1,2,3,1,1,1,1],[1,36,6,108,3,18,9,27,
8,4,64,256,32,18,108,18,18,108,108,108,2,18,108,18,18,9,54,18,54,54,54,54,108,
108,54,108,1,18,18,54,27,27,12,18,27,108,54,108,54,6,54,36,144,24,24,24,72,72,
24,192,24,72,36,96,288,96,18,9,18,54,54,54,54,36,54,108,108,54,108,18,18,54,
54,54,36,54,108,216,6,6,54,18,9,54,54,54,54,54,54,54,6,18,9,54,9,54,27,27,54,
27,54,27,54,27,54,54,54,108,9,54,27,108,54,108,108,54,36,108,54,54,54,54,108,
54,54,108,54,54,108,108,108,108,9,27,108,54,54,18,54,108,54,54,27,54,27,216,
32,16,256,128,256,72,72,72,12,72,72,8,72,12,72,36,72,36,8,72,72,72,72,48,72,2,
8,16,16,64,128,12,12,72,72,36,36,72,36,288,288,72,72,24,32,1,16,64,48,384,24,
192,576,9,54,54,9,9,27,27,27,27,54,54,18,54,54,54,108,18,18,54,54,54,54,54,54,
108,108,54,54,108,108,54,54,2,9,18,18,27,18,27,1,54,18,18,54,12,18,9,9,27,27,
27,27,54,54,54,108,54,54,27,54,54,54,108,108,9,27,18,27,54,27,54,27,27,27,27,
27,27,54,27,27,27,27,27,27,27,27,54,54,54,108,54,54,54,27,54,54,108,54,54,108,
54,108,54,54,6,54,36,96,16,96,96,48,48,384,72,36,72,72,72,144,36,12,36,36,24,
72,24,36,36,36,36,24,36,72,36,36,36,72,6,6,6,18,18,12,24,24,36,24,48,72,48,96,
36,36,36,36,72,36,36,36,72,6,48,144,6,18,9,24,72,72,24,72,64,9,27,27,18,54,27,
27,27,27,9,27,27,27,54,18,54,18,18,36,54,54,108,6,27,27,27,9,3,27,9,18,27,9,
54,27,27,27,27,27,27,27,54,27,27,27,27,9,27,54,27,27,27,54,27,54,27,27,54,48,
48,48,32,48,48,16,48,8,64,8,64,192,8,64,64,128,96,32,64,36,36,36,18,18,18,36,
12,36,8,36,36,36,36,12,36,3,18,18,2,3,18,18,9,18,9,2,18,18,18,18,12,18,36,12,
4,36,12,72,16,72,2,4,16,16,32,2,16,48,96,36,36,3,3,18,18,9,9,18,9,72,72,72,72,
18,18,6,24,48,144,64,27,9,27,9,27,9,27,1,27,9,9,27,9,27,27,48,24,16,48,4,24,
24,12,96,24,24,96,96,4,24,24,12,96,36,18,9,18,18,18,36,12,3,9,9,6,18,6,9,9,9,
9,6,9,9,18,9,9,18,12,24,3,6,6,9,6,12,18,24,6,24,9,9,9,9,18,9,9,9,18,32,16,9,
12,12,12,8,12,12,8,16,12,12,12,12,12,8,12,12,2,16,1,16,48,8,16,16,32,24,9,9,9,
9,3,9,2,9,9,3,9,9,9,9,3,1,9,3,18,4,18,2,4,9,9,16,16,16,12,4,12,12,24,6,4,12,1,
6,6,3,24,3,24,24,9,3,3,6,8,4,3,3,3,2,3,3,1,4,3,2,4,4,4,4,3,1,3,6,1,1],[1,42,3,
126,9,27,8,4,64,256,32,2,36,36,126,18,324,108,27,18,162,54,1,126,27,27,12,216,
81,108,162,108,6,54,18,54,36,48,24,144,24,72,168,192,36,96,96,288,36,6,108,6,
18,108,108,9,36,108,108,108,108,18,108,108,42,18,324,108,81,54,162,54,216,54,
54,108,81,108,324,216,54,108,9,27,9,27,36,108,108,36,108,9,81,108,18,54,54,54,
108,54,54,27,27,54,54,108,108,108,108,216,32,16,256,128,256,144,24,144,8,144,
72,72,72,144,8,72,72,24,48,2,8,16,16,64,128,144,144,108,72,24,72,288,32,288,1,
16,64,48,384,24,192,576,108,18,108,2,108,18,18,54,108,1,18,18,54,12,36,108,27,
108,108,108,54,108,216,9,27,36,108,54,108,108,54,216,9,54,54,27,18,54,54,81,
108,54,27,27,27,27,108,108,108,108,108,27,54,54,108,108,27,27,54,108,54,54,27,
54,6,18,54,54,108,108,36,108,54,54,192,96,16,48,48,384,48,72,144,24,72,24,72,
24,72,72,72,72,72,144,12,6,36,6,18,144,24,48,48,48,144,36,144,72,36,36,144,42,
48,144,96,9,72,24,72,64,36,54,108,9,54,6,54,3,54,18,54,27,54,108,9,36,54,108,
27,27,27,54,18,54,27,54,54,27,108,9,9,36,27,54,27,27,108,27,54,54,96,32,96,48,
16,48,8,64,8,64,192,8,64,64,128,96,32,64,24,72,72,8,24,72,72,36,6,36,2,36,18,
18,18,36,2,6,18,18,12,72,4,72,16,2,4,16,16,32,144,144,2,16,48,96,36,36,36,36,
27,18,6,18,24,48,72,72,144,64,18,27,54,1,18,27,54,9,27,9,27,96,48,16,24,24,8,
24,48,24,192,96,96,24,12,18,36,6,18,6,18,6,18,18,18,18,18,36,36,36,6,12,48,6,
6,18,9,36,18,9,9,36,24,32,16,9,24,8,24,8,16,24,24,24,8,24,2,16,1,16,48,8,16,
16,32,24,6,18,18,2,6,18,18,18,1,18,4,2,4,18,18,9,9,32,16,24,8,24,12,6,3,1,3,
24,48,24,6,9,6,8,4,6,2,6,1,4,3,3,2,4,8,4,6,1,6,1,1],[1,6,3,18,21,63,8,4,64,
256,32,2,18,18,9,18,54,54,1,18,63,63,12,27,108,54,108,24,216,18,54,144,24,24,
72,24,192,84,384,96,48,16,144,48,6,6,18,6,18,27,54,54,54,54,54,108,9,27,18,54,
108,36,108,21,27,108,72,216,54,54,108,54,27,27,54,54,54,54,216,3,9,18,63,27,
108,54,126,54,54,54,54,32,16,256,128,256,8,72,72,8,72,48,2,8,16,16,64,128,36,
72,96,72,32,144,48,144,48,1,16,64,48,384,24,192,576,2,18,18,1,18,12,9,18,54,
54,27,27,54,54,108,27,54,108,9,9,27,27,54,54,24,18,54,54,54,9,27,54,63,27,108,
54,54,36,27,54,54,27,27,54,54,27,54,54,54,54,96,48,16,48,64,192,128,24,24,72,
6,6,18,24,48,48,36,72,6,48,144,12,36,72,48,16,21,96,72,12,12,36,36,96,288,64,
6,3,18,3,9,9,18,27,27,27,27,27,54,27,27,27,27,3,9,18,27,54,54,27,18,54,32,16,
48,48,8,64,8,64,192,8,64,64,128,96,32,64,8,2,18,18,2,18,12,4,16,2,4,16,16,32,
2,16,48,96,36,36,9,18,24,18,24,48,36,36,36,36,144,64,1,9,9,9,9,27,27,16,24,24,
24,48,48,48,16,32,6,6,18,12,6,12,6,3,1,9,3,24,9,18,3,9,18,12,12,24,72,32,16,3,
8,8,16,8,2,16,1,16,48,8,16,16,32,24,2,1,4,2,4,9,3,9,3,9,9,16,6,3,1,3,12,4,8,
12,12,3,3,1,6,8,4,2,1,4,3,3,2,4,4,1,3,1,2,1,1],[1,168,3,21,63,4,224,28,84,252,
252,1,84,63,63,14,126,21,63,84,112,84,168,672,84,168,28,84,8,84,126,252,126,
126,21,126,42,126,63,63,21,126,63,63,63,126,126,112,168,56,84,84,168,168,28,
84,84,84,84,84,1,56,14,112,336,24,48,126,63,126,126,126,126,126,14,21,63,63,
126,63,63,63,112,112,112,32,64,8,84,84,84,84,84,84,84,28,84,84,28,21,168,42,
14,42,8,24,24,63,63,63,21,63,63,63,112,56,28,32,24,48,84,84,42,14,21,14,28,42,
42,24,32,63,56,28,28,28,8,16,8,24,24,21,21,21,14,32,28,14,8,24,1,21,8,14,6,3,
8,4,3,1,3,4,3,1,1],[1,42,49,1,224,112,14,28,84,63,126,70,126,42,49,224,112,
112,112,64,84,42,7,84,42,63,21,168,8,84,126,14,112,14,56,112,28,84,63,126,56,
28,70,126,112,112,224,42,7,42,21,21,84,84,42,112,112,112,64,128,64,84,42,56,7,
84,42,63,21,168,56,28,28,28,8,84,126,14,56,56,112,112,56,56,56,21,28,7,21,42,
56,28,112,112,42,7,42,7,14,21,21,84,84,42,28,56,8,64,21,56,28,28,28,56,56,112,
56,21,28,7,7,7,14,7,21,42,14,7,7,28,56,8,8,8,8,8,8,21,7,7,7,7,7,7,8,8,8,7,7,1,
1],[1,45,3,135,11,4,88,160,20,5,45,45,135,45,405,135,1,135,30,270,6,50,33,150,
45,135,180,360,60,60,180,45,15,135,135,135,135,135,45,45,405,135,270,44,10,
160,80,160,6,18,18,150,45,270,11,150,135,135,135,270,5,45,45,15,30,5,20,40,10,
40,80,180,180,180,20,180,1,22,40,120,240,6,24,48,135,5,135,45,135,45,135,200,
180,20,160,10,30,30,60,240,18,18,54,6,18,50,135,270,15,45,45,135,15,45,45,45,
45,45,90,15,15,45,180,30,30,90,45,90,60,40,18,6,18,24,48,45,180,20,60,60,10,
60,30,30,10,30,60,60,11,40,5,40,120,20,40,40,80,20,40,6,54,54,24,45,45,45,5,
15,45,45,45,5,45,5,10,10,10,20,90,90,45,45,80,40,6,18,18,18,6,72,6,12,1,60,50,
20,40,30,60,10,30,45,15,5,15,60,120,60,18,24,15,15,45,30,40,20,10,6,18,18,6,
12,3,3,9,45,10,5,15,5,10,15,15,5,10,10,20,24,6,1,4,8,20,20,10,6,18,9,1,9,15,5,
15,30,6,1,3,3,12,10,5,3,4,6,3,1,3,1,2,5,4,1,3,1,1],[1,18,15,270,3,45,11,4,88,
160,20,270,9,270,5,270,45,45,135,270,1,45,9,135,30,6,180,6,10,33,30,15,270,45,
60,120,12,180,24,1080,1440,60,360,90,135,270,9,135,15,135,15,45,135,135,135,
135,270,44,10,160,80,160,108,6,18,18,108,90,180,180,3,90,90,30,11,30,90,3,45,
135,45,135,5,90,45,90,30,5,20,40,10,40,80,180,180,360,360,20,180,180,1,22,40,
120,240,6,24,48,45,135,135,5,45,135,135,60,4,40,120,60,180,10,80,30,60,30,240,
480,240,480,54,108,108,18,6,18,54,54,54,90,90,90,90,3,45,45,30,90,10,90,15,
135,90,45,45,15,45,45,45,90,15,60,30,120,15,30,180,3,45,6,270,360,40,36,18,6,
36,18,72,24,72,144,48,144,45,30,60,60,60,120,20,60,30,240,10,30,30,30,30,11,
40,5,40,120,20,40,40,80,20,40,54,54,54,6,54,54,54,24,90,45,45,15,45,5,45,15,
45,5,45,5,10,10,10,20,45,45,90,90,40,40,40,18,36,36,6,18,18,18,18,18,72,144,6,
12,1,30,30,30,30,20,10,10,20,30,30,30,1,30,15,45,60,120,15,60,120,60,120,54,
24,24,24,45,15,15,30,40,20,10,18,18,18,6,18,18,18,6,12,18,18,36,36,18,3,30,15,
30,60,15,5,15,5,10,15,5,10,10,20,24,6,1,4,8,20,10,10,10,18,18,36,9,1,9,15,5,
15,30,6,6,6,6,3,12,24,10,5,9,4,6,3,1,3,1,2,5,4,3,3,6,1,1],[1,60,15,3,45,11,4,
88,160,20,90,30,90,5,90,45,45,1,45,30,30,90,6,120,120,60,10,33,30,15,45,60,
120,40,240,60,90,45,90,30,90,180,15,45,15,45,45,45,44,10,160,80,160,6,18,18,
90,60,60,60,90,60,30,30,11,30,60,30,45,45,5,45,90,30,90,5,20,40,10,40,80,60,
60,20,60,1,22,40,120,240,6,24,48,45,45,45,5,45,45,45,60,60,40,40,80,60,10,80,
30,30,240,80,36,18,6,18,36,90,45,90,30,60,30,90,180,60,30,30,10,30,15,45,15,
45,45,45,30,15,60,120,30,15,30,10,60,120,40,18,6,18,24,48,45,60,30,60,30,40,
60,20,60,30,10,30,30,30,11,40,5,40,120,20,40,40,80,20,40,18,6,18,24,45,45,45,
30,5,45,45,45,15,5,15,5,10,10,10,20,15,15,40,40,40,6,18,18,36,36,24,6,12,1,30,
30,30,30,30,60,10,10,20,30,10,20,15,60,15,30,120,120,20,20,18,24,45,15,15,30,
40,20,10,6,18,18,6,12,6,3,30,10,15,5,15,5,10,15,15,5,10,10,20,24,6,1,4,8,20,
10,10,10,18,6,3,1,3,15,15,30,5,6,6,3,4,10,5,3,4,6,3,1,3,1,2,5,4,3,1,1,1],[1,
48,60,180,15,20,1,40,40,20,180,540,180,15,135,60,90,270,45,270,45,135,270,36,
240,60,60,80,60,180,60,120,16,60,15,120,360,180,120,360,120,60,60,180,60,20,
135,180,270,270,135,90,270,180,270,270,90,15,135,270,135,135,15,270,90,270,45,
135,20,10,40,20,40,108,36,108,180,240,360,180,180,60,180,60,15,15,30,60,45,60,
180,90,90,45,90,45,45,30,15,360,60,90,180,180,360,60,180,36,270,135,45,270,
135,45,135,270,270,45,135,30,60,20,80,80,60,60,20,40,10,60,30,20,120,120,20,
60,60,20,60,20,60,120,120,40,108,108,36,45,180,90,45,180,45,30,15,45,45,90,30,
15,45,90,30,90,60,90,90,45,90,90,45,45,15,60,90,90,90,90,90,45,45,90,30,90,15,
45,15,45,15,10,36,36,36,135,60,30,60,30,60,80,60,60,120,60,10,120,10,30,10,30,
60,15,15,60,60,20,60,60,60,60,120,108,45,45,45,45,90,90,45,45,45,15,90,45,45,
90,15,90,15,90,45,45,45,90,90,15,45,20,20,10,10,20,10,20,36,36,36,6,6,30,30,
30,30,30,60,10,30,15,30,30,15,15,15,15,15,15,15,15,15,60,45,45,45,20,10,20,10,
10,20,10,10,10,10,20,36,18,18,6,18,18,6,30,30,15,15,30,15,15,15,15,15,15,15,
15,6,6,10,10,10,10,10,10,10,18,18,15,15,6,6,6,6,6,6,1,10,6,6,3,3,1,1,3,1,1,1,
1],[1,45,3,135,20,4,160,160,20,15,15,45,135,135,135,135,1,135,90,90,36,60,60,
180,180,60,60,180,45,45,135,45,135,135,135,45,135,135,135,270,80,10,160,80,
160,36,108,108,180,20,180,15,60,120,60,180,120,15,180,20,180,1,40,40,360,360,
144,135,15,135,15,135,45,135,240,10,30,30,240,108,36,108,60,15,45,45,180,15,
45,45,45,60,40,144,45,10,30,30,10,30,20,40,60,60,20,40,36,45,15,45,15,30,45,
15,45,15,30,45,40,36,6,6,60,30,10,30,60,60,60,15,45,15,40,10,36,18,18,10,15,
15,24,24,10,6,6,15,15,1,10,6,6,3,4,1,1],[1,24,42,72,3,126,33,99,8,32,84,216,
12,84,216,72,72,2,12,36,36,72,126,18,324,108,27,108,90,180,162,270,36,72,72,
108,72,1,126,12,36,99,99,12,12,216,81,540,162,540,180,42,378,54,162,252,96,16,
48,24,144,24,48,72,96,96,288,96,32,288,96,12,72,72,42,12,216,72,108,180,108,
180,24,72,108,72,72,72,72,72,108,216,72,72,12,84,108,36,36,24,108,360,144,36,
6,108,6,36,18,72,6,72,36,36,36,36,108,108,9,72,36,108,108,108,108,72,18,108,
108,36,36,72,36,72,42,18,6,324,36,108,42,108,81,54,270,90,162,54,270,90,216,
54,36,54,108,81,108,324,216,54,108,27,108,81,27,81,108,324,216,36,216,324,108,
36,324,108,36,36,108,72,36,108,72,36,144,36,144,72,72,72,72,216,216,33,81,540,
36,36,126,378,162,162,108,36,54,162,81,108,81,162,162,324,324,324,324,648,6,
54,54,126,162,324,162,252,162,162,324,324,72,18,162,72,54,54,16,48,96,48,96,
96,48,96,8,48,48,144,24,144,8,144,48,8,72,24,72,24,72,144,8,48,72,72,24,48,48,
48,48,2,16,288,96,288,32,288,288,96,288,96,288,288,576,24,72,6,72,36,36,36,72,
18,72,72,72,36,72,36,72,72,42,6,108,36,54,90,54,90,36,36,54,72,36,12,108,36,
36,108,36,108,108,216,12,72,12,72,36,72,72,72,108,108,36,36,36,36,36,108,108,
36,36,72,36,72,72,72,72,216,36,108,72,72,108,108,216,108,18,108,2,6,108,12,18,
18,18,18,54,108,1,36,18,12,18,54,36,12,12,36,36,72,6,6,36,36,18,18,18,18,36,
36,36,18,36,36,18,36,72,36,108,36,36,27,36,108,108,108,36,36,54,108,216,27,54,
81,36,108,36,36,36,54,108,108,36,36,54,216,36,9,54,54,36,36,36,36,18,36,36,36,
36,18,18,36,36,72,72,27,54,90,90,54,18,54,18,18,18,18,18,81,108,108,36,18,36,
36,54,36,54,54,90,90,81,54,81,54,81,81,324,324,108,36,108,324,108,108,108,108,
108,27,54,54,108,36,108,36,81,54,81,162,324,162,108,162,72,216,27,54,72,72,54,
18,162,54,324,324,54,36,162,324,162,162,36,36,72,36,36,72,72,36,72,36,36,72,
72,72,72,72,72,72,72,42,54,162,162,324,324,36,18,162,162,126,162,324,162,324,
36,36,54,162,36,36,324,162,162,162,108,324,162,162,108,324,162,324,324,324,
324,162,324,36,162,324,162,162,36,324,324,324,324,64,16,48,48,32,96,48,24,48,
48,48,48,48,48,96,48,48,48,48,48,96,24,8,48,24,24,16,48,48,48,48,48,72,144,48,
24,48,72,24,24,72,48,24,24,24,24,24,72,72,24,72,24,24,48,72,48,72,144,96,4,12,
6,36,6,12,18,48,48,144,96,288,288,96,32,288,288,72,24,72,24,24,72,72,36,36,72,
6,36,18,18,36,12,36,36,36,36,36,9,36,36,36,36,72,54,54,36,36,18,36,36,36,36,
36,36,36,54,90,18,18,54,36,18,6,54,18,18,54,18,54,54,108,12,36,36,36,54,54,
108,108,36,36,36,36,12,36,36,12,36,24,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,72,36,36,54,108,36,9,36,54,6,18,18,18,54,36,6,3,18,54,6,18,18,54,
6,36,27,36,54,108,72,6,18,36,36,18,36,36,18,18,36,18,18,18,18,18,36,18,18,18,
9,18,18,18,18,36,18,36,18,36,36,36,36,9,36,36,54,36,108,18,36,36,9,36,36,81,
27,81,27,27,54,9,54,9,18,81,27,54,54,18,36,18,36,54,36,18,36,18,18,27,54,54,
18,18,27,108,18,54,18,18,18,18,9,18,18,18,18,36,36,36,36,27,54,27,108,108,27,
18,54,18,36,18,18,9,36,81,54,81,324,18,9,27,54,54,54,54,108,162,54,162,54,324,
162,18,162,18,324,54,54,72,54,54,54,54,162,54,81,54,27,81,27,18,108,108,162,
18,162,54,324,324,54,54,54,54,36,36,36,36,36,36,36,36,36,36,36,36,6,54,54,36,
18,162,108,324,162,162,324,36,162,36,36,36,36,36,108,36,36,36,36,108,162,324,
162,54,36,36,54,32,32,32,48,16,32,48,16,48,32,96,96,96,96,32,8,24,48,48,24,24,
24,24,24,24,48,48,12,48,48,48,48,24,12,24,24,12,24,24,24,8,24,24,24,24,24,72,
24,72,24,8,24,24,24,72,24,72,24,24,24,24,24,8,24,24,24,2,12,12,36,6,36,2,2,36,
12,18,6,18,6,18,36,2,12,6,12,18,18,12,12,12,16,144,144,2,96,24,72,72,72,72,72,
72,24,72,72,72,72,72,36,18,36,18,36,18,18,6,18,18,18,18,36,9,36,18,36,27,27,
18,18,18,54,18,18,18,18,18,18,18,18,6,54,18,54,6,18,18,18,18,54,18,54,18,18,
18,18,54,18,54,18,108,36,36,36,36,18,18,27,18,54,18,9,18,27,1,18,18,6,6,18,18,
18,27,18,54,18,18,18,6,18,18,54,27,18,27,18,18,9,18,18,18,18,18,18,36,18,18,9,
18,18,18,18,18,9,18,18,18,18,18,18,18,18,36,27,27,27,18,9,27,27,27,27,27,9,81,
27,27,9,54,27,18,27,54,36,18,9,18,27,18,18,18,54,54,54,27,18,27,9,18,9,18,18,
54,18,54,18,54,54,18,18,162,54,162,18,18,18,54,54,54,54,54,54,36,36,36,36,36,
36,36,36,36,16,32,32,32,32,64,16,16,16,48,16,48,16,32,96,24,8,16,24,24,24,24,
12,24,24,24,24,6,12,12,12,12,12,12,24,12,12,12,12,12,24,8,24,24,24,24,24,24,
24,2,12,6,6,4,12,12,12,12,12,18,36,12,6,12,18,6,6,6,6,18,12,6,6,6,18,6,18,6,
18,6,12,18,12,18,36,24,48,6,6,18,6,2,18,6,24,24,24,72,72,72,72,18,9,18,18,18,
6,18,18,18,18,18,27,9,9,9,27,9,18,18,18,18,18,18,18,18,9,18,9,18,27,9,27,9,6,
54,9,9,9,9,9,9,18,18,9,27,9,9,27,9,27,9,9,9,9,9,9,27,9,9,18,54,18,18,16,16,16,
8,16,16,16,16,16,16,8,8,24,8,24,8,1,24,6,12,12,6,6,6,6,6,6,12,12,12,12,12,12,
6,6,2,6,6,6,6,6,18,6,18,6,2,6,6,6,2,6,6,6,18,6,18,6,6,6,6,6,2,18,18,18,6,18,6,
6,18,18,18,18,18,24,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,16,8,8,8,8,8,8,8,4,3,1,3,2,
6,6,6,6,6,6,6,6,2,6,6,6,6,6,6,6,6,6,2,18,18,18,18,9,8,2,2,2,1,2,3,3,6,6,1,2,3,
6,3,2,3,6,6,2,1,2,2,2,2,2,1,2,1,3,1,3,1,6,1,1,1,1,1,1,1,1],[1,24,18,168,3,54,
25,75,4,128,16,36,216,12,36,216,168,168,6,36,4,12,216,54,54,36,36,27,108,54,
108,162,162,84,216,216,108,216,1,54,12,84,75,75,36,36,24,81,324,162,324,108,
26,234,30,90,156,96,72,16,112,100,96,384,384,128,16,96,48,48,96,16,16,48,48,
36,24,72,18,36,72,72,108,108,108,108,72,72,108,216,72,24,216,72,108,72,216,72,
12,36,108,84,84,72,108,216,432,12,18,36,18,108,54,72,18,72,108,108,108,108,12,
36,1,72,12,12,36,36,36,72,6,36,36,108,108,72,108,72,18,54,18,36,108,36,18,108,
81,54,162,54,162,54,162,54,72,162,108,162,324,9,36,36,72,18,36,27,108,81,3,9,
36,108,216,108,216,324,108,108,324,108,108,84,108,216,108,108,216,84,144,108,
144,72,72,216,216,216,216,25,81,324,84,108,78,234,90,90,324,108,6,162,81,108,
81,18,18,108,108,108,108,648,2,18,30,42,54,180,90,84,90,90,108,108,72,2,18,72,
6,6,64,48,96,96,96,96,96,96,24,24,24,16,144,48,144,108,72,216,72,32,4,112,144,
104,120,96,48,96,96,96,384,48,16,48,48,96,96,16,48,48,48,48,48,48,48,48,48,48,
48,48,96,1,32,96,8,64,192,72,18,72,108,108,12,72,6,72,24,72,36,72,36,72,72,18,
18,36,36,54,54,54,54,108,108,18,72,36,36,108,36,108,108,36,36,36,216,36,72,36,
72,36,72,72,72,108,36,108,36,12,108,36,108,36,108,36,72,108,72,72,72,216,216,
84,108,216,216,108,108,72,36,6,36,6,18,36,36,54,54,54,54,18,36,3,108,6,36,54,
18,108,36,36,36,36,72,18,18,36,36,54,54,54,54,36,108,36,18,108,108,18,36,216,
4,36,36,12,3,36,36,12,36,36,12,18,36,72,3,18,9,12,36,36,36,36,18,36,36,36,36,
18,72,36,3,18,18,108,108,36,36,54,36,36,108,108,18,18,108,36,216,216,27,54,54,
54,162,54,162,54,54,54,54,54,9,36,36,36,54,36,108,18,36,54,54,54,54,81,54,81,
54,9,9,108,108,108,108,108,324,108,108,108,36,36,81,18,162,36,108,324,108,9,
18,9,18,36,18,36,18,72,72,9,18,72,72,18,18,54,54,108,108,6,36,18,36,18,18,36,
108,216,108,36,72,72,36,216,108,108,72,72,72,72,72,72,72,72,26,30,162,18,108,
108,36,6,54,90,42,54,180,90,108,36,36,6,18,108,36,36,18,18,54,108,108,54,54,
108,108,54,108,108,108,108,18,36,36,18,36,18,18,36,36,36,36,36,64,64,64,64,64,
64,64,24,24,48,48,48,48,48,48,48,96,96,96,96,24,48,48,72,72,16,48,72,72,48,48,
72,72,4,16,48,48,144,48,48,24,72,108,72,12,144,144,96,32,96,4,24,12,12,4,24,4,
12,12,18,48,8,72,120,48,8,48,48,48,48,48,48,16,48,48,48,48,48,48,48,48,48,48,
16,16,48,48,48,48,48,48,48,48,48,4,28,25,96,96,32,24,96,96,96,8,24,8,8,24,24,
64,192,32,32,8,96,96,36,36,72,18,36,54,54,36,36,36,108,36,12,36,3,36,12,36,36,
72,18,18,36,36,18,36,36,36,36,36,36,36,54,54,54,54,18,36,18,18,54,18,54,54,18,
18,18,108,36,108,36,36,18,18,36,36,36,36,36,36,36,36,36,36,36,72,36,36,36,36,
36,12,108,36,12,36,36,36,108,36,36,36,36,216,12,36,18,36,36,3,36,18,18,54,54,
54,18,36,18,9,54,18,18,54,54,18,18,108,9,36,18,36,72,6,18,36,36,18,36,36,18,
18,36,54,54,54,54,18,36,18,54,18,9,54,54,18,18,108,18,36,18,36,36,36,36,1,36,
12,18,36,36,18,36,36,3,36,36,9,9,9,9,9,18,1,18,3,18,9,9,18,6,18,36,6,36,18,36,
18,36,18,18,9,18,18,18,18,9,36,6,18,54,54,18,18,9,54,54,18,18,36,36,36,36,27,
54,3,36,108,81,54,18,54,108,54,18,9,108,9,18,9,36,18,9,9,54,54,18,18,108,54,
54,54,54,108,18,18,18,18,36,18,18,72,54,54,54,54,18,18,9,18,9,9,9,18,36,36,18,
18,18,18,36,36,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,2,18,30,36,2,
54,108,108,54,18,36,36,18,36,36,36,36,36,108,36,36,36,36,12,18,36,18,6,36,36,
6,16,64,64,64,64,64,64,64,32,16,24,12,24,24,24,24,24,12,24,24,24,24,48,48,48,
48,48,48,48,48,72,24,48,24,12,72,24,24,6,4,48,24,72,24,24,24,48,72,24,12,12,
12,24,12,12,72,72,24,24,96,12,4,12,12,24,24,4,12,12,12,12,12,12,12,12,12,12,
12,12,24,4,8,12,6,6,36,36,27,18,54,18,48,48,48,48,48,48,16,48,48,48,28,36,26,
30,96,8,16,24,24,24,24,24,24,24,96,8,24,24,24,24,24,96,96,48,96,96,36,18,36,
18,36,54,18,18,18,54,18,18,36,3,36,18,36,9,9,18,6,18,18,18,18,18,18,18,18,18,
18,18,54,18,18,18,54,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,
6,18,9,18,18,18,3,18,9,3,54,6,18,18,54,18,18,9,18,18,18,18,18,18,18,18,18,9,
18,9,18,18,9,18,18,18,18,18,18,36,54,18,9,54,18,18,18,18,9,18,18,18,18,18,18,
18,18,36,3,9,9,18,9,9,9,3,9,9,9,9,9,9,9,18,9,18,9,18,36,18,3,18,9,18,18,18,18,
18,18,9,18,9,9,18,9,18,18,18,18,6,18,54,54,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,36,36,36,36,36,36,36,36,36,16,16,16,16,16,16,16,64,32,32,32,32,16,16,
16,16,16,16,16,12,24,24,12,12,12,12,12,12,24,24,12,12,12,12,12,12,48,24,24,24,
12,24,24,24,12,6,12,18,18,12,24,12,24,4,12,12,12,24,24,4,12,12,12,12,12,12,12,
12,12,4,12,4,12,12,12,12,12,12,12,12,12,4,12,1,4,12,12,24,8,24,8,1,24,12,12,
12,12,6,18,18,18,18,36,18,27,18,3,36,36,12,2,18,30,12,2,8,8,8,16,8,8,8,24,24,
24,24,24,24,48,24,24,18,9,18,18,18,18,18,18,18,18,18,9,9,3,9,9,9,18,18,18,18,
18,18,18,18,3,18,9,18,9,9,9,9,6,18,9,9,9,9,9,9,18,18,1,9,3,9,9,9,9,9,9,9,9,9,
3,9,9,9,6,18,18,18,16,16,16,16,16,16,16,4,32,32,16,16,16,16,16,16,16,8,12,12,
12,12,12,12,12,6,12,12,12,12,12,12,12,12,6,12,18,6,3,18,6,6,4,12,12,12,4,12,
12,12,1,12,6,12,3,3,24,3,24,1,6,3,24,6,6,6,3,6,18,6,18,3,3,18,18,6,6,12,12,8,
24,24,24,24,24,9,9,9,3,9,9,9,3,9,9,9,9,9,9,9,16,4,4,4,4,4,4,4,4,16,8,8,8,8,12,
3,6,6,12,6,3,6,6,6,6,6,3,3,1,3,3,3,2,1,3,3,3,3,3,6,6,6,6,9,4,4,4,4,4,4,4,4,4,
4,8,8,3,3,3,3,3,3,1,3,3,3,6,1,3,3,3,4,4,1,3,3,1,1,1,1],[1,21,105,105,35,140,
105,315,35,105,105,315,315,126,210,35,210,105,105,420,420,140,120,105,105,315,
105,315,315,315,70,126,126,126,105,210,210,105,105,35,105,105,105,35,70,105,
420,120,315,140,70,140,126,126,126,120,105,105,105,105,105,35,105,105,105,35,
105,210,105,105,70,70,70,35,126,120,105,105,105,21,42,70,35,35,35,21,21,21,42,
35,30,21,7,7,1,1],[1,105,1,105,35,140,35,105,315,105,105,315,315,126,210,35,
210,105,105,420,140,420,120,315,35,315,105,315,315,315,70,126,126,126,210,105,
210,105,105,35,105,105,105,35,70,105,420,120,315,70,70,70,126,126,126,120,105,
105,105,35,105,105,105,105,35,105,70,210,210,105,105,105,70,70,70,35,126,120,
105,105,210,105,21,42,70,35,35,35,21,21,21,42,35,30,21,30,7,7,1,1],[1,42,3,
126,49,147,112,14,28,84,126,126,252,252,63,126,378,378,1,126,147,147,84,168,
189,756,378,756,70,630,126,378,420,112,336,336,112,112,336,336,64,84,42,252,
42,126,84,252,7,84,84,252,252,252,42,252,252,42,126,252,252,189,378,378,378,
504,378,378,756,63,252,252,504,126,252,63,189,21,63,168,504,756,252,756,49,
189,756,210,630,378,378,756,42,378,189,189,126,126,504,504,504,504,1512,8,84,
126,168,252,756,378,336,378,378,504,504,14,126,42,42,56,28,336,112,336,112,
336,336,336,336,336,336,336,672,112,192,252,42,252,14,252,126,126,126,252,7,
42,126,126,84,28,252,21,252,84,252,126,252,504,21,63,84,252,126,252,252,126,
504,21,126,126,63,126,378,378,63,252,126,189,189,63,63,504,504,756,252,252,
189,126,378,252,756,63,63,126,252,126,126,63,126,84,84,252,252,504,504,42,126,
252,126,126,70,126,378,126,504,504,24,252,378,168,252,756,378,504,42,126,252,
252,126,126,252,504,504,252,252,504,504,252,504,504,504,504,126,252,126,252,
126,126,252,252,252,252,64,168,56,168,28,84,84,28,28,84,84,112,336,336,112,
112,336,336,336,56,168,56,112,168,336,56,64,84,126,252,21,126,42,126,21,126,
126,126,63,126,252,28,84,7,84,126,252,63,63,63,126,7,21,63,63,42,42,126,63,
126,126,63,252,42,126,63,21,168,189,126,63,63,252,63,252,252,252,252,504,126,
126,252,126,126,252,252,252,252,126,126,63,63,63,63,126,126,252,252,126,126,
126,126,8,84,126,14,252,504,504,252,126,252,126,168,504,84,126,252,126,42,42,
192,56,168,168,7,84,28,84,28,84,84,84,84,84,84,84,168,112,112,168,168,168,336,
168,336,168,56,168,168,168,168,168,8,42,63,126,21,63,7,42,63,126,84,84,126,63,
63,21,63,21,63,63,63,63,63,126,21,63,126,126,126,63,63,84,84,42,252,252,126,
126,126,126,126,126,126,126,126,64,56,21,7,21,7,7,21,21,28,84,84,28,28,84,84,
7,56,56,112,56,168,168,168,168,24,21,63,63,28,126,7,21,63,63,42,126,8,8,8,7,
21,21,21,21,21,21,7,21,21,21,21,21,28,21,7,21,56,8,21,24,24,24,7,7,7,21,21,21,
21,7,21,21,8,8,8,7,7,1,3,1],[1,32,60,120,3,180,15,45,20,20,120,360,16,120,360,
120,120,15,90,60,90,180,180,135,540,270,45,180,45,90,270,135,60,180,180,180,
180,1,180,16,60,45,45,90,90,360,135,270,270,270,90,36,160,40,40,80,60,240,60,
120,180,120,60,40,60,180,120,60,20,180,60,90,120,180,60,90,360,180,180,90,180,
90,60,180,180,180,180,120,180,180,180,360,180,180,16,120,180,60,60,180,180,
180,360,90,45,270,15,90,45,180,45,180,90,90,90,90,180,270,15,180,90,180,270,
270,270,180,45,270,270,90,90,180,90,180,60,135,45,540,90,270,60,180,135,90,
135,45,270,90,135,45,540,135,90,135,270,135,270,540,540,135,270,90,90,90,60,
180,180,90,180,180,60,360,90,360,180,180,15,135,270,60,90,270,90,90,10,72,36,
108,108,72,120,160,80,160,240,120,240,20,120,120,120,120,40,40,20,120,120,240,
60,360,20,240,80,20,180,60,180,60,180,360,15,15,120,60,120,120,120,180,60,180,
20,120,120,20,180,60,20,60,180,60,60,180,60,20,180,180,360,180,45,180,90,90,
60,180,30,180,120,180,90,180,90,180,180,60,45,180,90,90,45,90,45,90,90,90,180,
90,30,90,90,90,30,180,30,180,90,180,180,180,180,180,90,90,60,90,90,180,180,90,
90,180,90,180,180,180,180,60,180,180,180,270,45,270,15,45,270,30,45,45,45,45,
135,270,90,90,180,45,45,90,90,45,45,45,45,90,60,270,90,60,45,90,270,180,270,
90,60,135,270,540,90,270,90,90,90,135,270,270,90,90,135,540,90,90,90,90,45,90,
90,90,90,45,90,45,45,135,45,135,45,45,45,45,45,135,180,270,90,45,90,90,135,90,
90,90,45,45,90,270,270,180,90,180,90,180,20,40,20,10,40,30,30,20,20,60,60,36,
72,72,72,108,36,108,36,108,36,36,36,72,30,60,120,120,80,240,80,80,120,120,120,
60,30,20,60,60,60,60,20,20,120,120,120,120,20,80,60,60,80,80,180,360,120,60,
60,180,120,60,60,60,30,30,45,90,15,30,45,15,30,45,45,15,30,15,45,45,60,60,60,
60,60,60,60,60,180,60,180,20,60,60,60,20,60,60,20,60,180,180,60,60,60,60,60,
20,90,90,180,45,90,45,45,90,60,90,15,90,60,90,90,180,90,90,45,90,90,90,90,45,
45,45,90,90,45,15,45,45,45,30,90,90,30,90,90,90,90,90,90,60,90,90,60,90,90,90,
90,90,90,90,90,90,90,135,270,90,15,45,45,45,135,90,15,90,90,45,90,90,45,45,45,
45,45,90,45,15,90,90,135,90,270,45,90,90,15,90,90,90,45,90,135,90,45,90,45,45,
45,45,45,40,10,40,20,20,40,40,20,20,20,40,40,60,10,60,10,20,30,30,10,20,30,30,
20,20,40,40,10,30,20,20,10,60,60,10,60,10,60,60,60,20,36,36,36,72,72,36,36,36,
108,36,108,36,36,30,15,30,30,30,30,30,60,60,60,30,80,120,120,120,60,30,60,60,
30,60,15,30,30,30,30,60,60,20,60,60,60,60,60,60,60,60,15,30,30,90,15,90,15,15,
90,30,45,15,45,15,45,90,45,15,45,15,30,30,15,45,15,15,45,15,45,45,45,15,15,45,
45,90,60,60,60,60,60,60,60,60,6,6,90,45,90,45,45,15,90,45,90,45,45,15,45,45,
45,90,90,90,90,45,45,45,45,20,20,40,10,20,10,10,20,20,20,20,20,20,20,40,20,10,
20,20,20,20,20,20,20,20,40,20,20,30,60,20,10,20,30,30,30,10,20,10,10,10,30,30,
10,30,10,30,10,30,60,20,20,20,20,20,40,10,20,10,60,20,20,20,20,36,36,36,36,36,
36,36,15,30,30,15,15,15,15,15,15,30,30,60,15,30,30,30,60,30,30,30,30,30,15,15,
15,15,15,15,60,15,30,15,15,30,30,45,90,30,15,15,15,15,45,30,15,15,15,45,45,15,
15,15,15,15,15,15,15,15,45,15,45,15,15,15,15,15,15,12,12,6,18,18,12,18,12,6,
18,45,20,10,20,20,20,10,20,10,10,10,10,10,20,20,20,10,10,10,10,10,10,20,20,10,
10,30,10,10,30,10,10,30,10,10,10,10,10,10,10,10,10,10,10,30,10,20,20,36,15,15,
15,15,15,15,15,15,15,15,30,30,30,30,15,15,15,15,15,15,15,15,15,15,15,15,12,6,
12,6,18,6,18,6,6,6,12,12,6,6,6,18,6,18,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,1,15,15,6,6,6,6,6,6,6,6,6,6,6,6,6,6,10,2,2,1,3,3,6,6,2,1,2,1,3,1,1,3,1,
1,1,1,1,1,1,1,1],[1,72,42,216,3,126,9,27,8,4,64,256,32,252,648,36,252,648,216,
216,2,36,36,36,216,126,18,324,108,27,324,18,108,162,54,108,216,216,324,216,1,
126,36,108,27,27,12,36,216,81,108,162,108,108,6,54,18,54,36,288,48,48,24,144,
24,144,72,168,192,48,144,36,192,576,96,96,288,36,216,216,126,36,648,216,324,
108,324,108,72,216,324,216,216,216,216,216,324,648,216,216,36,252,324,108,108,
72,324,216,432,36,6,108,6,108,18,216,18,216,108,108,108,108,108,108,9,216,36,
108,108,108,108,216,18,108,108,108,108,216,108,216,42,18,18,324,108,108,126,
324,81,162,54,54,162,162,54,54,216,54,108,54,108,81,108,324,216,54,108,9,108,
27,9,27,36,108,216,108,216,108,108,36,108,108,108,108,324,216,108,324,216,108,
432,108,432,216,216,216,216,216,216,9,81,108,108,108,18,54,54,54,108,108,54,
54,27,108,27,54,54,108,108,108,108,216,32,16,256,128,256,144,288,144,288,288,
144,288,24,144,144,144,24,144,8,144,144,24,72,72,72,72,72,144,8,144,72,72,24,
144,144,48,144,2,8,16,16,64,128,168,24,144,432,144,144,108,216,72,72,576,576,
144,144,24,72,288,32,288,1,16,64,48,384,24,192,576,216,18,216,108,108,108,216,
54,216,216,216,108,216,108,216,216,126,18,324,108,162,54,162,54,108,108,162,
216,108,36,108,108,108,108,108,108,108,216,36,216,36,216,108,216,216,216,324,
324,108,108,108,108,108,324,324,108,108,216,108,216,216,216,216,216,108,324,
216,216,108,108,216,108,18,108,2,18,108,36,18,54,18,54,54,108,1,108,18,36,18,
54,108,12,36,108,108,216,18,18,108,108,54,54,54,54,108,108,108,54,108,108,54,
108,216,36,108,108,108,27,108,108,108,108,108,108,54,108,216,9,54,27,36,108,
108,108,108,54,108,108,108,108,54,216,108,9,54,54,108,108,108,108,54,108,108,
108,108,54,54,108,108,216,216,27,162,18,54,54,54,54,54,54,54,54,54,81,324,108,
108,54,108,108,54,108,162,162,54,54,27,54,27,54,27,27,108,108,108,108,108,108,
108,108,108,108,108,27,54,54,108,108,108,108,27,54,27,54,108,54,108,54,216,
216,27,54,216,216,108,216,108,108,216,216,108,216,108,108,6,18,54,54,108,108,
108,36,108,108,54,54,192,32,192,192,96,96,16,48,48,768,384,144,72,144,144,144,
144,144,144,288,144,144,144,144,144,288,72,24,144,72,72,48,144,144,144,48,144,
72,144,144,24,144,72,24,72,72,144,72,72,72,24,72,72,72,72,72,72,72,144,72,144,
72,144,288,12,12,6,36,6,36,18,24,144,48,24,72,48,48,144,48,48,144,192,144,144,
216,72,144,144,72,72,36,144,144,144,144,144,144,72,72,36,72,36,144,144,42,48,
144,144,96,12,36,9,48,144,72,48,144,24,72,64,108,108,216,18,108,54,54,108,36,
108,108,108,108,108,27,108,108,108,108,216,54,54,108,108,54,108,108,108,108,
108,108,108,162,54,54,54,162,108,54,18,54,54,54,54,54,54,54,108,36,108,108,
108,54,54,108,108,108,108,108,108,36,108,108,36,108,72,108,108,108,108,108,
108,108,108,108,108,108,108,108,108,108,108,108,216,36,108,54,108,108,9,108,
54,6,54,54,54,54,108,18,3,54,54,18,18,54,54,18,108,27,108,54,108,216,108,108,
54,108,108,54,54,108,54,54,54,54,54,108,54,54,54,27,54,54,54,54,108,54,108,54,
9,108,36,54,108,108,54,108,108,27,108,108,27,27,27,27,27,54,108,18,108,54,108,
54,108,54,54,27,54,54,54,54,27,108,54,54,54,54,27,54,54,54,54,9,54,9,36,108,
27,54,54,54,108,54,54,27,108,27,54,27,108,54,27,27,54,54,54,54,108,54,54,216,
108,108,108,108,96,96,96,192,96,96,192,96,32,96,96,96,48,16,48,96,8,64,8,64,
192,8,64,64,128,96,32,64,72,144,144,72,72,72,72,72,72,144,144,36,144,144,144,
144,72,36,72,72,36,72,72,72,24,72,72,72,24,72,72,72,72,72,8,72,24,72,72,72,72,
72,72,72,72,72,24,72,72,72,6,36,36,36,6,36,2,6,36,36,18,18,18,18,18,36,2,36,6,
36,18,18,36,12,36,144,72,72,144,24,4,72,72,24,144,16,144,2,4,16,16,32,144,144,
2,16,48,96,36,144,72,72,72,72,72,144,72,72,36,36,36,72,36,36,36,36,42,6,108,
36,27,54,18,18,144,144,144,144,36,36,6,18,24,48,72,72,144,128,64,108,54,108,
54,108,54,54,18,54,54,54,54,108,27,108,54,108,27,27,54,54,54,54,54,54,54,54,
18,54,54,54,18,54,54,54,54,54,54,54,54,54,54,54,108,108,108,108,18,54,27,54,
54,54,1,54,18,18,18,54,54,54,27,54,54,54,54,54,18,54,54,27,54,54,54,54,27,54,
54,54,54,54,27,54,54,9,27,27,54,27,27,27,54,9,54,27,54,54,54,27,54,27,48,96,
96,48,96,32,96,96,96,96,96,48,16,48,8,48,24,24,192,24,8,48,24,192,192,8,48,48,
24,24,192,192,96,96,72,72,72,36,72,72,72,72,18,36,36,36,36,36,36,72,36,36,36,
36,36,72,24,72,72,72,24,72,72,72,6,36,18,18,12,36,36,36,12,36,18,36,36,6,36,
18,6,18,18,18,18,36,18,6,18,18,18,18,18,18,18,36,18,36,18,36,72,72,24,72,36,
72,72,48,36,6,12,6,18,12,12,36,48,48,6,6,18,48,36,72,36,36,36,9,36,36,36,36,
36,36,36,18,54,18,18,18,36,18,9,18,9,36,36,36,24,64,32,16,54,27,54,18,54,54,
54,27,27,54,54,54,54,9,54,27,54,27,27,48,24,48,48,96,48,24,48,24,24,8,24,24,
24,8,16,24,24,24,24,24,48,24,24,48,24,8,24,24,24,2,16,1,16,48,8,16,16,32,24,
72,18,36,36,18,18,18,18,18,18,36,36,36,36,36,36,18,18,6,18,18,18,6,18,18,18,
18,18,2,18,6,18,6,18,18,18,18,18,18,18,18,18,18,18,36,36,18,36,18,6,1,18,18,6,
36,4,36,2,4,18,18,9,36,18,36,9,9,18,18,18,9,18,18,18,18,9,9,32,32,32,16,32,27,
24,24,24,24,24,24,8,24,24,24,8,24,48,24,24,12,24,8,24,24,24,24,24,12,2,12,6,6,
48,3,1,3,48,48,24,48,24,18,18,18,18,18,18,18,6,18,18,18,6,18,18,18,18,9,18,6,
18,18,12,6,9,9,18,32,16,8,4,24,24,6,6,6,24,12,6,12,6,6,2,6,6,6,1,4,6,3,3,2,4,
18,9,8,8,8,8,4,6,3,6,6,6,6,2,6,6,6,1,12,3,6,8,4,1,3,6,2,1,1],[1,42,3,126,33,
99,8,4,64,256,32,2,36,36,126,18,324,108,27,90,162,270,1,126,99,99,12,216,81,
540,162,540,42,378,54,162,252,48,24,144,24,72,168,192,132,768,96,96,288,96,32,
288,96,36,6,108,6,18,108,108,9,36,108,108,108,108,18,108,108,42,18,324,108,81,
270,162,270,216,54,54,108,81,108,324,216,54,108,27,81,27,81,108,324,324,36,
324,33,81,540,126,378,162,162,108,54,162,81,81,162,162,324,324,324,324,648,6,
54,54,126,162,324,162,252,162,162,324,324,18,162,54,54,32,16,256,128,256,144,
24,144,8,144,72,72,72,144,8,72,72,24,48,2,8,16,16,64,128,144,144,108,360,168,
216,288,96,288,32,288,288,96,288,96,288,288,576,1,16,64,48,384,24,192,576,108,
18,108,2,108,18,18,54,108,1,18,18,54,12,36,108,27,108,108,108,54,108,216,27,
81,36,108,54,108,108,54,216,9,54,54,27,90,54,54,81,108,54,81,81,81,81,324,324,
324,108,108,27,54,54,108,108,81,81,162,324,162,162,27,54,54,18,162,54,324,324,
54,162,324,162,162,42,54,162,162,324,324,18,162,162,126,162,324,162,324,54,
162,36,324,162,162,162,108,324,162,162,108,324,162,324,324,324,324,162,324,
162,324,162,162,324,324,324,324,192,96,16,48,48,32,96,384,128,384,256,48,72,
144,24,72,24,72,24,72,72,72,72,72,144,12,6,36,6,18,144,24,48,48,48,144,36,144,
72,108,108,432,42,48,144,24,216,216,72,96,288,288,96,32,288,288,33,192,72,24,
72,24,24,72,72,192,576,64,36,54,108,9,54,6,54,3,54,18,54,27,54,108,6,18,9,36,
54,108,81,81,27,54,9,9,81,27,54,18,54,27,54,54,27,108,18,54,27,27,108,27,54,
81,81,324,27,162,54,162,54,324,162,162,324,54,54,54,54,54,54,162,54,81,27,81,
27,162,162,324,324,54,54,54,54,6,54,54,18,162,108,324,162,162,324,162,36,108,
108,162,324,162,54,54,96,32,96,48,16,48,16,48,96,96,96,96,8,64,8,64,192,8,64,
64,128,384,96,32,64,24,72,72,8,24,72,72,36,6,36,2,36,18,18,18,36,2,6,18,18,12,
72,4,72,16,2,4,16,16,32,144,144,2,16,48,96,108,36,216,72,216,36,36,27,90,96,
42,54,24,48,72,72,72,72,72,72,144,24,72,72,72,72,72,64,128,18,27,54,9,27,1,18,
27,54,18,18,54,27,27,27,27,27,27,81,27,27,27,54,9,27,54,54,54,27,27,54,18,54,
54,54,162,54,162,54,54,54,54,54,54,96,48,16,48,48,32,96,24,24,8,24,48,24,192,
96,96,96,96,96,32,64,24,12,18,36,6,18,6,18,6,18,18,18,18,18,36,36,24,36,6,12,
48,6,6,18,6,2,18,6,48,36,36,72,9,36,18,27,27,108,6,54,54,18,24,24,24,48,72,72,
72,72,144,64,32,16,9,27,27,6,54,9,9,27,27,18,54,24,16,8,24,8,16,24,24,24,8,24,
2,16,1,16,48,8,16,16,32,96,96,24,6,18,18,2,6,18,18,36,18,1,18,4,2,4,18,18,18,
6,18,6,6,18,18,18,18,18,27,9,54,18,54,24,32,16,32,9,24,8,24,12,6,3,1,3,2,6,24,
24,8,16,48,24,24,24,6,9,6,6,6,2,12,18,18,18,18,9,9,18,16,8,4,6,2,6,1,4,3,3,6,
6,1,3,6,3,3,24,2,4,24,9,6,8,4,8,6,1,2,3,3,6,6,6,2,4,4,1,1,6,1,2,1],[1,42,3,
126,9,27,8,4,64,256,32,2,36,36,126,18,324,108,27,18,432,162,54,1,126,27,27,12,
216,81,108,162,108,432,6,54,18,54,36,48,24,144,24,72,168,192,36,96,96,288,36,
6,108,6,18,108,108,9,36,108,108,108,108,18,108,108,42,18,324,108,81,54,216,
162,54,216,216,54,54,108,81,108,324,216,54,108,9,216,27,9,27,36,108,108,216,
36,108,216,9,81,108,18,54,54,54,108,54,54,27,216,27,54,54,108,108,108,108,216,
216,216,32,16,256,128,256,144,24,144,8,144,72,72,72,144,8,72,72,24,48,2,8,16,
16,64,128,144,144,108,72,288,24,72,288,32,288,1,16,64,48,384,24,192,576,108,
18,108,2,108,18,18,54,108,1,18,18,54,12,36,108,27,108,108,108,54,108,216,9,
108,27,36,108,54,108,108,54,216,9,54,54,27,18,216,54,54,81,108,54,27,108,27,
108,27,27,108,108,108,216,108,108,27,54,54,108,108,27,108,27,54,108,54,216,54,
432,27,54,108,108,6,18,54,54,108,108,108,108,36,108,54,54,108,108,192,96,16,
48,48,384,48,72,144,24,72,24,72,24,72,72,72,72,72,144,12,6,36,6,18,144,24,48,
48,48,144,36,144,72,36,144,36,144,42,48,144,144,96,9,72,24,72,64,36,54,108,9,
54,6,54,3,54,18,54,27,54,108,9,36,54,108,27,54,27,54,27,54,54,54,54,54,18,54,
27,54,54,27,108,9,108,9,36,27,54,27,108,27,108,27,54,54,54,54,54,54,108,108,
54,54,108,108,108,108,96,32,96,48,96,16,48,96,8,64,8,64,192,8,64,64,128,96,32,
64,24,72,72,8,24,72,72,36,6,36,2,36,18,18,18,36,2,6,18,18,12,72,4,72,16,2,4,
16,16,32,144,144,2,16,48,96,36,72,36,72,36,36,27,18,72,6,18,24,48,72,72,144,
64,18,27,54,54,1,18,27,54,54,9,54,27,27,27,27,27,54,54,108,9,27,54,54,54,108,
96,48,16,48,48,24,24,8,24,48,24,192,96,96,24,12,18,36,6,18,6,18,6,18,18,18,18,
18,36,36,36,6,12,48,6,6,18,36,36,9,36,18,9,36,9,36,36,24,64,32,16,9,27,27,27,
27,27,27,24,48,8,24,8,16,24,24,24,8,24,2,16,1,16,48,8,16,16,32,24,6,18,18,2,6,
18,18,36,18,1,18,4,2,4,18,18,9,18,9,18,32,16,27,24,8,24,12,6,3,1,3,24,48,24,6,
9,6,9,9,16,8,4,6,2,6,1,4,3,3,6,6,2,4,9,8,4,6,1,3,3,6,4,1,3,1,1],[1,105,35,1,
70,280,140,35,105,315,126,210,105,105,210,420,120,315,35,70,280,140,280,126,
105,35,105,35,35,70,70,70,140,105,315,210,105,126,210,105,70,420,126,120,240,
120,105,105,315,210,105,70,126,105,35,105,70,35,70,35,70,70,140,105,70,126,21,
42,120,105,35,105,210,105,70,35,21,30,21,42,35,21,7,30,7,1,1],[1,78,45,270,3,
135,11,4,88,160,20,270,810,39,270,810,5,90,45,45,270,135,45,405,135,135,270,1,
135,39,135,30,90,270,6,300,120,66,50,33,150,45,270,135,180,360,52,180,264,
1080,1440,60,60,180,360,90,270,270,135,90,810,270,90,270,405,270,270,39,270,
405,180,45,15,135,270,45,270,135,135,135,135,135,45,45,45,405,135,135,135,405,
270,135,405,270,540,44,10,160,80,160,108,6,18,18,108,270,300,150,300,540,270,
540,60,360,360,33,270,270,150,45,270,11,150,150,33,135,135,135,135,135,270,5,
90,45,45,15,90,90,30,90,5,20,40,10,40,80,180,60,180,540,180,180,1080,360,180,
20,180,180,180,60,1,22,40,120,240,6,24,48,270,45,270,135,270,135,270,135,45,
405,135,45,135,405,405,135,135,135,5,45,135,45,135,45,45,135,135,45,135,135,
135,45,135,135,135,135,135,135,135,60,120,44,200,200,180,180,20,160,10,30,30,
60,60,480,480,80,240,240,480,54,108,108,36,18,18,54,6,18,54,54,54,36,90,135,
90,270,90,270,90,150,540,150,150,270,270,270,180,90,60,180,180,33,150,135,135,
30,90,90,90,50,150,135,270,270,15,90,45,45,135,135,270,135,135,135,15,45,45,
45,45,45,45,45,90,45,90,45,90,180,30,15,15,45,60,180,60,120,30,30,90,120,180,
180,180,180,45,90,60,180,180,180,13,45,66,270,360,120,40,36,18,6,36,18,72,24,
72,144,48,144,135,45,135,135,135,135,135,45,135,135,135,45,135,135,135,120,30,
120,60,60,60,60,60,120,120,200,180,180,360,180,20,60,60,60,60,10,60,480,30,30,
10,30,60,30,60,30,30,60,11,40,5,40,120,20,40,40,80,240,20,40,54,54,54,108,108,
18,6,18,54,54,54,54,54,24,45,90,90,135,45,135,45,135,45,90,90,150,270,270,270,
90,45,90,180,135,135,15,45,45,45,45,135,45,45,45,45,5,45,15,45,45,45,45,45,45,
45,45,45,15,45,45,45,15,45,5,15,45,45,180,5,10,10,10,20,90,90,45,45,45,15,135,
45,270,90,80,80,40,40,40,18,36,36,6,18,18,18,18,18,18,6,36,36,72,24,72,144,6,
12,1,135,60,60,120,30,60,30,30,60,30,60,60,60,60,60,30,180,20,60,60,60,60,60,
50,20,40,60,30,60,60,10,30,30,30,30,30,60,11,50,45,45,120,120,15,5,30,15,120,
120,20,60,60,120,120,60,20,60,120,54,54,54,18,54,18,54,24,24,24,45,45,45,135,
45,45,45,45,45,45,15,45,45,45,15,45,45,45,15,45,15,45,45,15,15,30,30,30,45,45,
45,45,80,40,80,40,40,20,10,18,18,18,36,36,6,18,18,18,18,18,18,18,72,6,12,18,
18,36,36,18,6,3,3,9,60,30,60,30,30,30,30,60,60,15,30,30,60,50,45,90,10,120,30,
45,45,5,15,15,15,5,10,15,15,15,15,15,60,5,10,10,20,60,54,24,24,24,6,1,4,8,45,
45,45,40,20,20,20,20,10,20,10,10,18,18,18,6,18,18,18,6,18,18,36,18,9,18,3,9,1,
9,3,9,30,15,15,15,45,15,15,5,15,15,15,5,15,30,15,15,15,5,15,30,30,24,6,6,6,6,
6,1,3,3,12,4,12,24,20,20,10,20,10,10,5,18,18,9,9,9,3,9,3,9,4,15,15,15,6,6,6,6,
3,6,3,3,1,3,3,3,12,1,2,10,5,5,5,9,4,4,4,6,3,3,3,3,3,1,3,3,3,1,6,5,4,1,3,3,1,1,
1,1],[1,60,3,180,15,45,20,4,160,160,20,15,60,90,180,135,540,270,45,45,270,135,
1,180,45,45,90,360,135,270,270,270,36,80,60,240,60,180,240,480,60,480,60,60,
180,60,20,180,60,90,45,270,15,45,180,270,15,90,180,270,270,270,45,270,270,60,
135,540,270,135,135,270,135,540,135,135,270,135,270,540,540,135,270,90,15,135,
270,270,90,80,10,160,80,160,36,108,108,240,60,360,20,240,180,180,180,360,15,
60,120,240,360,180,180,120,15,180,60,180,20,180,180,60,180,60,180,180,360,1,
40,40,360,360,144,270,45,270,15,270,45,45,135,270,60,270,45,270,180,270,135,
270,540,90,270,135,270,270,135,540,45,45,135,135,135,270,135,270,270,320,240,
20,160,10,30,30,20,60,60,240,80,240,160,108,36,108,36,108,80,180,360,60,180,
30,45,90,15,45,360,60,120,60,360,180,120,15,45,45,15,15,45,45,60,120,360,60,
180,180,60,20,180,180,15,120,360,40,144,90,135,270,15,135,15,90,135,270,45,
135,240,60,10,60,10,30,30,10,30,30,10,30,60,60,60,60,60,60,20,40,60,60,240,20,
40,36,108,108,60,90,15,90,15,90,45,45,45,90,180,15,30,45,15,45,15,45,45,45,45,
45,45,45,90,60,30,90,45,45,60,80,40,80,144,36,6,6,45,80,20,40,30,60,10,30,30,
30,10,30,30,30,30,30,60,20,60,60,120,60,60,60,60,60,60,20,40,36,30,45,90,15,
45,90,15,30,15,45,45,15,15,45,45,15,90,30,45,40,40,40,10,36,6,18,18,18,6,18,
60,10,30,30,10,30,10,30,60,15,60,15,60,24,24,15,45,15,40,20,10,20,36,18,6,18,
6,18,18,10,30,15,15,15,15,24,24,1,10,10,10,6,6,15,15,6,6,1,3,3,10,4,6,6,3,1,3,
4,1,1,1],[1,90,45,90,3,135,20,4,160,160,20,270,270,45,270,270,15,270,15,45,
270,135,135,135,135,45,270,1,135,45,45,90,270,90,36,360,120,60,60,180,180,60,
60,480,360,480,60,120,60,180,270,90,270,135,270,270,270,90,270,135,270,270,45,
270,135,540,45,45,135,270,135,270,45,135,135,135,135,45,135,135,135,135,135,
135,135,270,45,135,270,540,80,10,160,80,160,36,108,108,360,180,360,60,180,20,
180,180,60,15,60,120,180,180,60,180,180,180,120,15,360,180,360,180,60,20,180,
180,60,1,40,40,360,360,144,270,135,270,45,270,135,270,135,135,135,135,45,135,
135,135,135,135,135,15,135,135,45,135,135,135,135,135,15,135,135,45,45,135,
135,135,135,135,135,135,120,80,240,240,10,120,30,30,480,240,240,80,480,216,
108,36,108,216,90,180,180,180,90,60,180,60,180,90,15,45,45,180,180,60,360,60,
180,180,180,360,15,90,45,45,45,180,180,180,60,180,60,180,15,15,120,120,360,
360,40,144,135,135,135,45,135,135,135,45,135,135,135,45,135,135,135,60,60,60,
240,10,60,30,30,60,60,10,30,60,60,20,40,60,60,240,20,40,108,36,108,90,45,90,
180,90,45,90,45,45,15,45,45,45,180,15,30,45,45,15,45,45,45,15,30,45,45,45,45,
45,180,80,40,80,144,36,6,6,135,60,30,60,60,60,60,30,30,10,30,30,30,60,60,20,
60,120,60,60,60,60,60,60,60,60,20,120,108,45,45,45,45,45,45,45,45,15,45,45,45,
15,90,15,45,45,45,15,45,90,45,45,40,40,40,10,36,36,18,36,18,30,30,30,60,10,30,
30,30,60,15,60,15,60,24,24,45,45,45,40,10,20,20,36,18,6,18,18,6,18,30,15,15,
15,15,15,15,24,24,1,10,10,10,18,18,15,15,6,6,6,3,10,4,6,6,3,1,3,4,3,1,1],[1,6,
45,270,3,135,20,4,160,160,20,270,3,270,15,15,45,270,135,135,135,135,270,270,
135,270,270,1,135,3,135,90,90,270,36,120,120,60,60,180,360,180,4,180,1440,
1440,60,60,180,360,90,135,270,90,270,270,270,3,135,45,45,135,270,45,135,270,
135,135,270,135,270,270,45,135,135,135,135,135,135,135,135,135,270,270,135,
135,270,270,540,540,80,10,160,80,160,216,36,108,108,216,60,360,360,60,360,360,
180,20,180,60,180,180,15,60,120,60,180,180,180,180,180,120,15,180,20,180,180,
180,60,1,40,40,360,360,144,45,270,270,135,135,45,135,135,135,270,270,135,15,
135,45,135,135,15,135,135,135,45,45,135,135,135,135,135,135,135,135,135,135,
135,135,135,135,135,135,60,240,80,240,10,30,30,60,480,80,240,240,480,108,216,
216,108,36,108,108,108,108,60,180,180,90,90,60,180,180,60,180,180,180,15,45,
45,90,180,60,180,360,60,180,180,180,360,15,45,45,90,45,60,180,180,180,1,45,
360,360,360,360,40,144,144,144,45,135,135,45,135,135,135,45,135,135,135,135,
135,135,135,30,60,60,240,10,30,30,60,10,30,30,30,30,60,20,40,60,60,240,20,40,
108,108,108,36,108,108,108,180,45,90,90,45,90,90,180,45,15,45,45,45,45,180,15,
30,45,15,45,45,45,45,15,30,45,45,45,45,45,40,40,40,144,36,6,6,135,30,30,30,60,
60,60,30,10,30,30,30,30,30,30,20,60,120,60,60,60,60,60,60,60,20,60,120,108,45,
45,45,45,45,45,15,45,45,45,45,15,45,90,15,45,45,45,15,45,90,45,45,40,40,40,10,
36,36,36,36,18,18,36,30,30,30,60,10,30,30,30,60,15,60,15,60,24,24,45,45,45,40,
10,10,10,36,18,6,18,6,18,18,30,15,15,15,15,15,15,24,24,1,10,10,10,18,18,15,15,
6,6,6,3,10,4,6,6,3,1,3,4,3,1,1],[1,42,105,210,1,105,35,140,210,630,21,210,630,
35,210,105,315,630,105,105,315,315,105,630,126,420,70,210,35,210,105,210,105,
840,420,280,140,420,120,210,210,630,105,210,630,630,210,630,315,630,630,315,
35,315,630,105,630,105,315,315,315,315,70,252,126,126,126,252,210,420,210,420,
420,210,420,35,210,210,210,105,210,105,105,105,35,210,105,105,105,210,210,35,
70,105,840,420,840,420,140,120,240,630,105,630,105,630,315,630,105,315,315,
315,280,70,280,70,70,126,252,252,252,126,126,126,126,120,210,210,105,210,210,
210,210,210,210,420,210,210,105,70,210,210,210,105,105,210,105,35,105,105,105,
105,210,105,70,105,35,105,70,210,210,105,210,105,105,420,120,315,140,140,140,
70,140,70,70,140,140,35,126,252,252,126,126,120,240,105,210,210,210,105,210,
105,105,210,210,210,105,210,35,105,105,105,35,105,210,105,105,21,42,140,70,
140,70,70,70,35,35,70,35,126,120,105,105,105,42,42,21,21,21,84,42,70,35,70,70,
35,35,30,42,21,42,21,21,42,35,30,7,21,14,7,7,1,2,1,1],[1,105,3,315,35,140,35,
105,315,315,315,945,945,1,315,210,630,126,210,105,630,105,315,420,420,1260,
120,315,105,945,315,945,945,945,105,315,945,945,1890,70,126,378,378,630,105,
630,35,630,315,315,315,630,35,315,315,105,210,35,70,105,1260,140,1260,360,945,
35,945,105,945,315,945,70,210,210,378,126,378,126,378,120,210,315,630,105,315,
105,315,105,315,315,315,315,315,630,105,105,315,210,210,630,105,315,315,420,
120,315,70,210,210,70,210,35,126,378,378,360,105,315,315,35,105,315,315,315,
35,315,70,630,630,315,105,315,21,42,210,70,210,105,35,105,126,120,105,105,210,
105,21,63,63,126,70,35,105,105,30,63,21,63,42,35,90,7,21,30,21,7,1,3,1],[1,
105,1,105,35,140,35,105,315,105,105,315,315,21,105,210,126,210,35,210,105,105,
420,140,420,120,315,35,315,105,315,315,315,105,315,105,315,70,126,126,126,210,
105,210,210,35,105,105,105,35,105,105,105,210,35,70,105,420,420,140,120,315,
105,105,315,105,315,315,70,70,70,126,126,126,126,126,252,120,210,105,210,105,
105,105,105,35,105,105,105,105,105,105,35,105,70,210,210,105,105,105,420,120,
315,70,70,70,140,140,35,126,126,126,120,105,105,105,105,105,35,105,105,35,105,
210,105,105,105,21,42,70,70,70,35,35,35,126,120,105,105,105,21,21,21,42,70,35,
35,35,30,21,21,21,42,35,30,7,21,7,7,1,1,1],[1,72,42,216,3,126,33,99,8,4,64,
256,32,252,648,36,252,648,216,216,2,36,36,36,216,126,18,324,108,27,324,90,540,
162,270,108,216,216,324,216,1,126,36,108,99,99,12,36,216,81,540,162,540,540,
42,378,54,162,252,288,48,48,24,144,24,144,72,168,192,48,144,132,192,576,768,
96,96,288,96,32,288,96,36,216,216,126,36,648,216,324,540,324,540,72,216,324,
216,216,216,216,216,324,648,216,216,36,252,324,108,108,72,324,1080,432,36,6,
108,6,108,18,216,18,216,108,108,108,108,108,108,9,216,36,108,108,108,108,216,
18,108,108,108,108,216,108,216,42,18,18,324,108,108,126,324,81,162,270,270,
162,162,270,270,216,54,108,54,108,81,108,324,216,54,108,27,324,81,27,81,108,
324,648,108,648,324,324,36,324,324,108,108,324,216,108,324,216,108,432,108,
432,216,216,216,216,648,648,33,81,540,108,108,126,378,162,162,108,108,54,162,
81,324,81,162,162,324,324,324,324,648,6,54,54,126,162,324,162,252,162,162,324,
324,216,18,162,216,54,54,32,16,256,128,256,144,288,144,288,288,144,288,24,144,
144,144,24,144,8,144,144,24,72,72,72,72,72,144,8,144,72,72,24,144,144,48,144,
2,8,16,16,64,128,168,24,144,432,144,144,108,216,360,360,576,576,144,144,168,
216,288,96,288,32,288,288,96,288,96,288,288,576,1,16,64,48,384,24,192,576,216,
18,216,108,108,108,216,54,216,216,216,108,216,108,216,216,126,18,324,108,162,
270,162,270,108,108,162,216,108,36,324,108,108,324,108,324,324,648,36,216,36,
216,108,216,216,216,324,324,108,108,108,108,108,324,324,108,108,216,108,216,
216,216,216,648,108,324,216,216,324,324,648,108,18,108,2,18,108,36,18,54,18,
54,54,108,1,108,18,36,18,54,108,12,36,108,108,216,18,18,108,108,54,54,54,54,
108,108,108,54,108,108,54,108,216,36,108,108,108,27,108,108,108,108,108,108,
54,108,216,27,162,81,36,108,108,108,108,54,108,108,108,108,54,216,108,9,54,54,
108,108,108,108,54,108,108,108,108,54,54,108,108,216,216,27,162,90,270,54,54,
54,54,54,54,54,54,81,324,108,108,54,108,108,54,108,162,162,270,270,81,162,81,
162,81,81,324,324,324,108,324,324,324,324,324,108,108,27,54,54,108,108,108,
108,81,162,81,162,324,162,324,162,216,648,27,54,216,216,54,18,162,54,324,324,
54,108,162,324,162,162,108,108,216,108,108,216,216,108,216,108,108,216,216,
216,216,216,216,216,216,42,54,162,162,324,324,108,18,162,162,126,162,324,162,
324,108,108,54,162,36,108,324,162,162,162,108,324,162,162,108,324,162,324,324,
324,324,162,324,108,162,324,162,162,108,324,324,324,324,192,32,192,192,96,96,
16,48,48,32,96,768,384,128,384,256,144,72,144,144,144,144,144,144,288,144,144,
144,144,144,288,72,24,144,72,72,48,144,144,144,48,144,72,144,144,24,144,72,24,
72,72,144,72,72,72,24,72,72,72,72,72,72,72,144,72,144,72,144,288,12,12,6,36,6,
36,18,24,144,48,24,72,48,48,144,48,48,144,192,144,144,216,360,144,144,72,72,
36,144,144,144,144,144,144,72,72,108,216,108,432,432,42,48,144,144,24,216,216,
144,72,96,288,288,96,32,288,288,12,36,33,48,144,192,72,48,144,24,72,24,24,72,
72,192,576,64,108,108,216,18,108,54,54,108,36,108,108,108,108,108,27,108,108,
108,108,216,162,162,108,108,54,108,108,108,108,108,108,108,162,270,54,54,162,
108,54,18,162,54,54,162,54,162,162,324,36,108,108,108,162,162,324,324,108,108,
108,108,36,108,108,36,108,72,108,108,108,108,108,108,108,108,108,108,108,108,
108,108,108,108,108,216,36,108,54,108,108,9,108,54,6,54,54,54,54,108,18,3,54,
54,18,18,54,54,18,108,27,108,54,108,216,6,18,108,108,54,108,108,54,54,108,54,
54,54,54,54,108,54,54,54,27,54,54,54,54,108,54,108,54,108,108,108,108,9,108,
36,54,108,108,54,108,108,27,108,108,81,81,81,81,27,54,9,162,9,54,81,27,162,54,
54,108,18,108,54,108,54,108,54,54,27,54,54,54,54,27,108,18,54,54,54,54,54,27,
54,54,54,54,108,108,108,108,27,162,27,108,324,27,54,54,54,108,54,54,27,108,81,
162,81,324,54,27,27,162,162,162,162,324,162,54,162,54,324,162,54,162,54,324,
54,54,216,54,54,54,54,162,54,81,162,27,81,27,54,324,324,162,54,162,162,324,
324,54,54,54,54,108,108,108,108,108,108,108,108,108,108,108,108,6,54,54,108,
18,162,108,324,162,162,324,108,162,108,108,108,108,36,108,108,108,108,108,108,
162,324,162,54,108,108,54,96,96,96,192,96,96,192,96,32,96,96,96,48,16,96,48,
16,48,96,96,96,96,96,96,8,64,8,64,192,8,64,64,128,384,96,32,64,72,144,144,72,
72,72,72,72,72,144,144,36,144,144,144,144,72,36,72,72,36,72,72,72,24,72,72,72,
24,72,72,72,72,72,8,72,24,72,72,72,72,72,72,72,72,72,24,72,72,72,6,36,36,36,6,
36,2,6,36,36,18,18,18,18,18,36,2,36,6,36,18,18,36,12,36,144,72,72,144,24,4,72,
72,24,144,16,144,2,4,16,16,32,144,144,2,16,48,96,36,144,72,216,72,216,72,144,
72,72,36,108,108,72,36,36,216,72,216,72,36,36,42,6,108,36,27,54,90,90,144,144,
144,144,144,144,96,36,36,42,54,24,48,72,72,72,72,72,72,144,24,72,72,72,72,72,
128,64,128,108,54,108,54,108,54,54,18,54,54,54,54,108,27,108,54,108,81,81,54,
54,54,162,54,54,54,54,54,54,54,54,18,162,54,162,18,54,54,54,54,162,54,162,54,
54,54,54,162,54,162,54,324,108,108,108,108,18,54,27,54,54,54,9,54,27,1,54,18,
18,18,54,54,54,27,54,54,54,54,54,18,18,18,54,27,54,27,54,54,27,54,54,54,54,54,
54,108,54,54,27,54,54,54,54,54,27,54,54,54,54,54,54,54,54,108,27,81,27,54,27,
81,81,27,81,27,27,81,81,27,27,162,27,54,27,54,108,54,9,54,27,54,54,54,54,54,
54,27,54,27,27,54,27,54,54,54,18,54,54,54,54,54,54,162,54,162,54,54,54,54,54,
54,54,54,54,108,108,108,108,108,108,108,108,108,48,96,96,96,96,192,48,96,32,
96,96,96,96,96,48,16,48,48,48,48,48,32,96,8,48,24,24,192,24,8,48,24,192,192,8,
48,48,24,24,192,192,96,96,96,96,96,32,64,72,72,72,36,72,72,72,72,18,36,36,36,
36,36,36,72,36,36,36,36,36,72,24,72,72,72,24,72,72,72,6,36,18,18,12,36,36,36,
12,36,18,36,36,6,36,18,6,18,18,18,18,36,18,6,18,18,18,18,18,18,18,36,18,36,18,
36,72,72,24,72,36,72,72,24,48,36,6,12,6,18,12,12,36,48,48,6,6,18,6,2,18,6,48,
48,108,72,36,72,36,108,36,36,72,72,36,36,9,36,36,36,36,36,36,36,18,54,90,18,
18,36,18,27,54,27,108,108,36,6,54,54,36,18,24,24,24,48,72,72,72,72,144,64,64,
64,32,16,54,27,54,54,54,18,54,54,54,54,54,81,27,27,27,81,27,54,54,54,54,54,54,
54,54,9,54,27,54,27,27,27,27,6,54,27,27,27,27,27,27,54,54,9,81,9,27,27,27,27,
27,27,27,27,27,27,81,27,27,18,54,54,54,48,48,48,24,48,48,96,48,24,48,16,48,48,
48,24,24,8,24,24,24,8,16,24,24,24,24,24,48,24,24,48,24,8,24,24,24,2,16,1,16,
48,8,16,16,32,96,96,24,72,18,36,36,18,18,18,18,18,18,36,36,36,36,36,36,18,18,
6,18,18,18,6,18,18,18,18,18,2,18,6,18,6,18,18,18,18,18,18,18,18,18,18,18,36,
36,36,36,18,36,18,6,1,18,18,6,36,4,36,2,4,18,18,18,6,18,6,6,18,18,18,18,18,36,
36,36,36,9,36,18,36,27,27,18,18,18,9,18,54,54,18,9,9,54,18,54,18,36,36,24,64,
32,32,32,16,32,32,27,27,27,27,27,27,27,9,27,27,27,27,27,27,27,48,24,24,24,24,
24,24,8,24,24,24,8,24,48,24,24,12,24,8,24,24,24,24,24,12,2,12,6,6,48,3,1,3,2,
6,48,48,24,24,8,16,48,24,24,24,18,18,18,18,18,18,18,6,18,18,18,6,18,18,18,36,
18,9,18,6,18,18,6,12,6,6,2,12,18,18,18,18,27,9,9,27,9,9,18,18,18,18,32,16,16,
16,8,4,27,24,24,6,6,6,24,12,6,12,6,6,2,6,6,6,1,4,6,3,3,6,6,1,6,3,6,3,6,3,24,2,
4,24,18,9,9,9,6,9,9,9,9,16,8,8,8,8,4,8,6,3,6,6,6,6,6,6,6,6,2,6,6,6,1,2,12,3,3,
3,3,3,6,6,6,2,4,9,8,4,4,4,1,3,3,3,6,1,3,3,3,6,4,2,1,2,3,1,1,1,1],[1,63,105,
315,35,1,70,280,140,315,945,35,315,105,315,945,126,630,105,210,105,315,105,
210,21,105,210,630,1260,840,420,420,120,315,315,945,315,945,315,945,35,70,280,
140,280,378,126,378,315,630,630,315,105,35,315,105,315,35,35,70,70,70,140,105,
105,105,315,315,315,210,105,630,630,1260,360,126,945,420,35,210,210,105,105,
70,420,840,420,420,140,840,378,378,126,120,240,120,315,315,315,315,315,105,
315,105,315,105,105,105,315,105,210,210,210,105,315,315,315,630,105,315,70,
126,126,126,210,210,105,105,210,105,35,105,105,105,70,210,35,70,35,70,70,140,
105,420,378,120,360,315,315,315,315,140,70,140,126,126,126,21,42,120,210,105,
105,35,105,105,105,105,105,35,105,210,35,105,105,210,210,105,105,105,70,70,70,
35,126,63,63,21,126,120,105,105,105,105,30,21,42,70,35,35,35,63,21,21,21,42,7,
35,30,21,21,7,7,1,3,1,1],[1,42,3,126,49,147,4,896,112,14,28,84,126,126,252,
252,63,126,378,378,1,126,147,147,84,168,189,756,378,756,70,630,126,378,420,
168,196,896,112,336,336,112,112,336,336,64,84,42,252,42,126,84,252,7,84,84,
252,252,252,42,252,252,42,126,252,252,189,378,378,378,504,378,378,756,63,252,
252,504,126,252,63,189,21,63,168,504,756,252,756,49,189,756,210,630,378,378,
756,42,378,189,189,126,126,504,504,504,504,1512,8,84,126,168,252,756,378,336,
378,378,504,504,14,126,42,42,448,56,56,448,112,336,252,504,224,28,280,504,336,
112,336,112,336,336,336,336,336,336,336,672,1,224,1344,672,112,896,2688,192,
252,42,252,14,252,126,126,126,252,7,42,126,126,84,28,252,21,252,84,252,126,
252,504,21,63,84,252,126,252,252,126,504,21,126,126,63,126,378,378,63,252,126,
189,189,63,63,504,504,756,252,252,189,126,378,252,756,63,63,126,252,126,126,
63,126,84,84,252,252,504,504,42,126,252,126,126,70,126,378,126,504,504,24,252,
378,168,252,756,378,504,42,126,252,252,126,126,252,504,504,252,252,504,504,
252,504,504,504,504,126,252,126,252,126,126,252,252,252,252,448,448,448,256,
512,64,336,168,168,56,168,28,336,168,252,84,672,224,28,84,84,28,28,84,84,42,
32,336,504,56,112,336,336,112,112,336,336,49,224,336,672,56,168,56,112,168,
336,448,1344,224,224,56,672,672,64,84,126,252,21,126,42,126,21,126,126,126,63,
126,252,28,84,7,84,126,252,63,63,63,126,7,21,63,63,42,42,126,63,126,126,63,
252,42,126,63,21,168,189,126,63,63,252,63,252,252,252,252,504,126,126,252,126,
126,252,252,252,252,126,126,63,63,63,63,126,126,252,252,126,126,126,126,8,84,
126,14,252,504,504,252,126,252,126,168,504,84,126,252,126,42,42,224,112,448,
448,112,192,168,28,168,14,56,112,168,168,7,56,336,84,84,336,336,168,84,28,84,
28,84,84,84,84,84,84,84,168,28,56,84,63,126,112,70,126,112,224,168,168,168,
336,168,336,168,504,56,168,168,168,168,168,8,256,42,63,126,21,63,7,42,63,126,
84,84,126,63,63,21,63,21,63,63,63,63,63,126,21,63,126,126,126,63,63,84,84,42,
252,252,126,126,126,126,126,126,126,126,126,224,112,112,112,224,224,448,224,
112,112,112,64,128,64,84,112,84,42,56,21,7,21,7,7,21,21,56,28,84,168,28,84,84,
28,28,84,84,7,84,56,56,7,168,42,63,21,168,8,84,126,14,56,56,112,112,56,56,56,
168,168,168,168,168,336,168,168,24,21,63,63,28,126,7,21,63,63,42,126,28,56,
112,28,224,112,112,32,32,8,32,8,8,84,42,7,42,7,14,21,21,21,21,21,21,7,21,21,
21,21,21,28,21,21,7,21,21,84,84,42,56,8,64,21,28,28,28,56,28,28,28,28,56,56,
112,56,24,24,24,21,28,7,7,7,14,21,21,21,21,7,21,14,7,21,21,42,32,32,32,28,7,
28,28,56,8,8,8,8,8,8,21,7,7,7,7,7,7,1,8,8,8,7,7,3,4,1,1],[1,96,60,360,3,180,
15,45,20,4,160,160,20,360,1080,48,360,1080,360,360,15,270,60,90,540,180,135,
540,270,45,540,45,270,270,135,180,540,540,540,540,1,180,48,180,45,45,90,270,
360,135,270,270,270,270,36,480,120,120,80,60,240,60,360,180,240,480,64,240,60,
480,1440,360,480,1440,480,60,120,60,180,360,60,20,180,60,270,360,540,180,270,
1080,540,540,270,540,270,180,540,540,540,540,360,540,540,540,1080,540,540,48,
360,540,180,180,540,540,540,1080,90,45,270,15,270,45,540,135,540,270,270,270,
270,180,270,15,540,90,180,270,270,270,540,45,270,270,270,270,540,270,540,60,
135,135,540,270,270,180,540,135,270,135,135,270,270,135,135,540,135,270,135,
270,135,270,540,540,135,270,270,90,270,180,540,540,270,540,540,180,1080,270,
1080,540,540,15,135,270,180,270,270,270,90,80,10,160,80,160,216,36,108,108,
216,360,480,240,480,720,360,720,60,360,360,360,360,120,120,60,360,360,240,60,
360,20,240,240,60,180,180,180,180,180,360,15,60,120,240,180,240,720,360,360,
180,360,180,180,120,15,1440,240,360,360,180,360,360,360,1440,180,60,180,60,
360,360,20,180,180,60,180,180,60,180,180,60,60,180,180,360,1,40,40,360,360,
144,540,135,540,270,270,180,540,90,540,360,540,270,540,270,540,540,180,135,
540,270,270,135,270,135,270,270,270,540,270,90,270,270,270,90,540,90,540,270,
540,540,540,540,540,270,270,180,270,270,540,540,270,270,540,270,540,540,540,
540,180,540,540,540,270,45,270,15,135,270,90,45,135,45,135,135,270,270,270,
540,135,135,270,270,135,135,135,135,270,60,270,270,180,45,270,270,180,270,270,
180,135,270,540,90,270,270,270,270,135,270,270,270,270,135,540,270,270,270,
270,135,270,270,270,270,45,270,45,135,135,135,135,135,135,135,135,135,135,540,
270,270,135,270,270,135,270,270,270,135,135,270,270,270,540,270,540,270,540,
60,120,80,320,320,240,240,20,160,10,120,30,30,60,20,60,60,480,480,80,240,240,
80,240,80,240,480,480,160,108,216,216,216,108,36,108,36,108,108,108,108,216,
90,180,360,360,240,720,240,240,360,360,360,180,90,60,180,180,180,180,60,60,
360,360,360,360,60,240,180,180,80,240,180,360,360,60,180,180,360,180,180,180,
90,30,45,90,15,90,45,180,360,120,60,180,360,120,360,240,360,360,180,360,360,
180,180,60,240,360,360,360,360,360,180,180,360,120,360,15,90,45,45,15,90,15,
45,45,60,120,360,180,180,180,180,180,180,60,180,180,180,180,60,180,180,180,60,
180,60,20,180,180,180,180,180,180,180,180,60,16,60,15,120,360,120,360,120,360,
360,360,360,360,40,144,144,144,270,270,540,135,270,135,135,270,180,270,45,270,
180,270,270,540,270,270,135,270,270,270,270,135,135,135,270,270,135,45,135,
135,135,90,270,270,90,270,270,270,270,270,270,180,270,270,180,270,270,270,270,
270,270,270,270,90,270,135,270,270,15,135,135,135,135,270,45,270,270,135,270,
270,135,135,135,135,135,270,135,15,270,90,135,270,270,135,270,270,45,270,270,
270,45,270,135,270,135,270,135,135,135,135,135,120,30,120,60,60,120,120,60,60,
60,120,120,320,240,240,480,240,60,10,60,480,10,60,30,30,10,60,30,30,60,60,120,
120,10,30,60,60,30,60,60,30,60,30,60,60,60,60,20,40,60,60,240,240,80,240,240,
240,240,480,20,40,108,108,108,216,216,108,36,108,108,108,108,108,108,90,45,90,
90,90,90,90,180,180,180,90,240,360,360,360,180,90,180,180,90,180,45,90,90,90,
90,180,180,60,180,180,180,180,180,180,60,180,45,90,90,90,15,90,15,45,90,90,45,
45,45,45,45,90,360,180,180,360,60,360,15,30,60,360,180,180,180,360,360,45,15,
45,45,90,90,15,45,45,45,45,45,45,45,45,45,45,45,45,90,60,30,90,60,45,180,90,
45,90,45,45,360,360,180,180,180,180,60,180,180,180,60,90,360,360,80,80,40,40,
80,40,80,144,144,144,36,6,6,270,135,270,135,135,45,270,135,270,135,135,45,135,
135,135,270,270,270,270,45,135,135,135,60,60,120,30,60,30,30,60,60,60,60,60,
60,60,120,60,30,60,60,60,60,60,60,60,60,120,240,80,20,40,60,30,60,60,10,60,30,
30,30,30,60,10,30,30,30,30,30,30,30,30,30,30,60,60,60,60,60,60,120,30,20,30,
60,60,60,60,60,20,80,60,60,120,120,60,120,120,60,60,60,60,60,60,60,60,60,240,
60,60,20,20,60,60,20,120,120,40,108,108,108,108,108,36,108,45,90,90,45,45,45,
45,45,45,90,90,180,45,90,90,90,180,90,90,90,90,90,45,45,45,45,45,45,180,45,90,
45,45,30,90,45,90,90,15,45,45,45,45,90,45,180,90,45,30,15,45,90,30,90,15,45,
45,45,45,45,45,45,45,45,15,45,15,45,45,45,45,45,45,45,45,45,60,90,15,60,90,90,
90,30,90,90,90,90,90,45,90,45,45,45,90,45,80,40,80,40,40,80,40,40,40,40,80,10,
144,36,36,36,36,36,6,18,18,36,18,36,6,18,135,60,30,60,60,60,30,60,30,30,30,30,
30,60,60,60,30,30,30,30,30,30,60,60,80,60,120,10,120,30,30,30,30,30,10,30,30,
30,30,30,30,30,10,30,30,30,30,30,30,30,60,60,60,60,120,60,60,120,60,15,60,60,
60,60,60,60,60,15,60,60,60,60,60,20,60,120,108,24,24,45,45,45,45,45,45,45,45,
45,45,90,90,90,90,45,45,45,45,45,45,15,45,90,45,90,45,15,90,15,45,45,45,15,90,
45,90,90,45,45,40,40,40,40,40,40,40,20,10,20,20,10,10,20,36,36,36,36,18,36,18,
18,6,18,18,18,18,36,36,6,18,18,18,18,18,30,30,30,30,30,30,30,30,30,30,30,60,
10,30,30,30,60,30,15,30,15,15,60,15,15,15,15,15,15,15,60,24,24,24,24,24,24,1,
45,45,45,40,20,10,20,10,10,10,10,10,10,20,20,36,18,18,18,18,18,6,18,18,18,18,
18,6,18,18,30,30,15,30,15,15,15,15,15,15,15,15,15,24,6,24,6,6,6,1,3,3,10,10,
10,10,10,10,10,18,18,4,15,15,6,6,6,6,6,6,6,3,6,3,3,1,3,3,3,10,4,4,4,6,6,3,3,3,
3,3,1,3,4,1,3,1,1,1,1],[1,42,105,210,3,315,35,140,210,630,21,210,630,35,210,
105,315,630,315,315,945,945,105,630,1,315,21,105,210,210,630,126,420,70,210,
105,630,105,210,315,840,420,280,420,1260,120,210,210,630,105,210,630,630,210,
630,315,630,630,21,210,315,420,315,105,945,630,105,630,315,945,945,945,315,
105,315,105,945,315,945,105,315,1890,105,315,630,1260,70,252,126,378,378,252,
210,420,210,420,420,210,420,35,210,210,630,105,630,35,630,210,35,315,105,315,
105,315,630,35,210,315,315,105,210,210,210,210,35,70,105,840,420,840,1260,140,
140,1260,420,140,360,240,630,105,630,105,630,315,630,105,105,315,315,105,315,
315,315,315,315,945,35,105,945,105,315,105,105,315,315,105,945,315,105,315,
945,315,315,315,315,315,315,280,70,280,210,210,126,252,252,252,378,126,378,
126,378,126,126,126,252,120,210,210,105,210,210,210,210,210,210,420,210,210,
210,210,210,420,210,35,210,105,105,70,210,210,210,210,210,315,630,210,105,210,
315,105,105,315,210,105,105,105,105,105,315,315,105,315,105,105,210,315,210,
315,630,420,70,105,105,315,210,210,630,105,210,315,315,420,420,420,420,420,
140,420,120,120,120,315,105,315,105,315,315,315,105,315,315,315,315,315,315,
315,140,140,140,70,140,210,210,140,140,70,210,140,140,35,126,126,126,252,252,
126,126,126,378,126,378,126,126,360,240,105,210,210,210,105,210,105,105,105,
105,105,105,210,210,210,210,210,210,210,105,210,105,105,35,105,105,105,105,
105,315,105,315,105,35,105,105,105,315,105,315,105,105,105,105,105,35,105,105,
105,35,315,35,35,315,105,70,630,630,315,105,105,315,105,105,420,120,21,42,315,
140,70,140,140,140,70,210,70,70,70,70,210,140,140,105,35,70,105,126,126,126,
126,126,126,126,120,120,120,105,105,105,105,105,105,105,105,105,105,105,105,
105,35,105,105,105,105,105,105,105,35,105,105,105,210,105,105,105,105,42,42,
21,63,63,84,126,70,70,70,35,70,70,70,70,70,70,35,35,105,35,105,35,126,120,30,
105,105,105,42,21,42,21,63,21,63,21,21,42,42,42,70,35,35,35,35,35,35,35,90,7,
21,21,21,21,21,21,21,42,35,30,14,21,21,7,7,7,1,7,2,3,1,1,1,1],[1,210,105,56,
560,70,420,1260,315,630,210,630,336,560,840,1680,1680,560,960,1260,210,105,
1260,630,315,315,1260,30,630,630,210,280,336,840,280,840,70,560,420,1680,840,
336,630,35,630,315,315,630,630,630,560,280,560,1008,960,840,420,210,1680,420,
420,420,840,840,840,840,336,315,210,105,315,630,280,280,280,280,210,70,210,70,
420,840,240,336,56,168,315,280,280,210,210,210,70,105,168,168,35,240,120,240,
56,210,105,35,70,56,28,35,28,30,8,1],[1,105,3,315,35,4,280,1120,140,35,105,
315,315,315,945,945,1,315,210,630,126,210,105,630,105,315,420,840,420,420,
1260,120,315,105,945,315,945,945,945,105,315,945,945,1890,140,70,1120,560,
1120,126,378,378,630,105,630,35,630,315,315,315,630,35,315,315,105,210,35,140,
280,70,280,560,420,1260,840,105,1260,140,1260,1,70,280,840,1680,2520,360,504,
945,35,945,105,945,315,945,840,420,70,210,210,1680,378,126,378,126,378,480,
960,120,210,315,630,105,315,105,315,105,315,315,315,315,315,630,105,105,315,
1260,210,210,630,105,315,315,105,210,420,280,120,504,315,420,140,420,70,210,
210,70,210,35,280,35,280,840,140,280,280,560,420,140,280,126,378,378,360,105,
315,315,35,105,315,315,315,35,315,35,70,70,70,140,630,630,315,105,315,105,210,
315,280,504,126,21,42,480,420,210,210,70,210,105,105,35,105,420,840,420,420,
126,120,240,120,105,105,315,210,105,280,140,70,126,21,63,63,126,105,70,35,105,
35,70,105,105,35,70,70,140,105,30,84,168,140,70,126,63,21,63,42,120,105,35,
105,210,105,90,84,7,70,35,21,120,30,21,42,21,35,28,21,7,30,1,7,3,4,1,1],[1,28,
210,420,105,56,560,210,1260,420,70,210,420,1260,1260,315,630,630,630,1260,210,
630,336,560,560,56,560,840,840,1680,1680,560,1680,1680,560,960,210,420,1260,
630,630,420,1260,420,1260,1260,1260,210,630,1260,630,630,105,1260,1260,1260,
630,630,315,630,315,1260,1260,1260,30,630,630,1260,210,280,1008,336,1008,840,
560,1680,1680,1680,560,840,840,280,840,840,840,70,560,420,1680,1680,1680,1680,
840,960,336,1260,630,105,1260,630,210,630,630,630,1260,1260,630,35,630,630,
210,630,630,630,315,315,315,630,315,315,630,630,630,630,1260,1260,280,560,560,
280,560,280,560,1008,336,1008,960,840,420,840,840,420,420,1680,280,840,840,
840,70,420,210,210,1680,420,420,420,420,420,840,840,840,840,336,336,336,630,
210,630,315,630,630,315,630,210,315,630,105,315,315,315,630,630,560,280,560,
280,560,280,280,280,280,280,560,280,1008,960,840,420,420,420,210,420,420,420,
420,210,210,70,210,210,210,70,420,420,840,840,240,336,336,336,56,168,315,105,
315,315,315,315,315,280,280,280,280,280,280,280,280,280,280,210,420,210,210,
70,210,210,210,210,210,70,105,336,168,56,168,168,168,168,315,280,280,35,240,
120,240,56,210,105,210,105,105,168,168,70,35,70,120,56,56,56,28,105,35,35,35,
56,28,28,28,35,30,28,8,8,1,1],[1,210,1,210,105,105,56,560,70,420,1260,210,210,
1260,1260,315,630,630,630,105,315,1260,210,630,630,630,336,560,56,560,840,840,
1680,560,1680,1680,560,1680,560,960,1260,70,1260,210,210,420,1260,105,1260,
420,1260,1260,1260,630,1260,1260,315,630,630,630,315,1260,630,315,315,315,315,
1260,1260,1260,210,630,630,630,1260,1260,30,630,630,210,630,1260,630,1260,210,
630,280,336,336,336,560,840,1680,840,840,280,840,840,840,70,560,420,1680,1680,
1680,1680,560,1680,1680,840,960,336,1260,630,1260,210,630,35,630,210,630,105,
1260,630,1260,315,315,630,630,315,630,630,315,315,1260,315,630,315,315,1260,
315,630,630,630,630,1260,630,630,1260,30,630,630,210,630,1260,1260,630,630,
1260,630,560,280,280,280,560,560,560,336,1008,1008,960,840,840,840,280,840,
840,840,420,70,420,210,210,560,1680,1680,420,420,420,420,420,420,420,1680,840,
840,840,840,840,840,840,840,336,336,336,630,315,630,35,630,315,630,210,210,
315,315,105,315,315,315,315,315,630,630,630,630,630,630,630,630,630,630,630,
630,560,280,560,280,280,280,280,280,280,560,560,280,1008,960,840,420,210,420,
210,210,70,210,210,210,1680,70,420,420,420,420,420,420,420,840,840,840,840,
840,840,840,840,240,336,336,336,56,168,315,315,315,210,630,105,315,315,315,
630,630,280,280,280,280,280,280,280,280,280,280,210,210,210,70,210,210,210,70,
210,210,210,70,210,70,420,105,840,240,336,168,56,168,168,168,168,315,280,280,
35,240,120,240,56,210,210,210,70,210,210,210,210,105,105,105,168,168,35,35,35,
70,70,240,120,240,56,56,56,28,210,105,35,70,35,35,70,56,28,28,28,35,30,28,8,
30,8,1,1],[1,126,105,630,3,315,35,4,280,1120,140,630,1890,63,630,1890,35,630,
105,315,1890,315,315,945,945,315,1890,1,315,63,315,210,630,630,126,1260,210,
210,105,630,105,630,315,420,840,84,420,840,2520,2520,3360,420,840,420,1260,
120,630,630,1890,315,630,1890,1890,630,1890,945,1890,1890,63,630,945,1260,315,
105,945,1890,315,1890,315,945,945,945,945,105,315,315,945,945,945,315,945,
1890,315,945,1890,3780,140,70,1120,560,1120,756,126,378,378,756,630,1260,630,
1260,1260,630,1260,105,630,630,630,105,630,35,630,630,105,315,315,315,315,315,
630,35,630,315,315,105,630,630,210,630,35,140,280,70,280,560,420,420,420,1260,
1260,1260,840,105,2520,2520,2520,1260,2520,1260,420,140,1260,1260,420,1,70,
280,840,1680,2520,360,720,504,1890,315,1890,315,1890,945,1890,315,315,945,945,
315,945,945,945,945,945,945,35,315,945,315,945,315,315,945,945,105,945,945,
315,315,945,945,945,945,945,945,945,840,140,840,840,420,420,70,840,210,210,
3360,1680,1680,560,3360,378,756,756,756,378,126,378,126,378,378,378,378,756,
480,960,120,630,630,315,630,630,630,630,630,630,1260,630,630,630,630,630,1260,
630,105,630,315,315,210,630,630,630,210,630,315,630,630,105,630,315,105,315,
315,630,315,315,315,105,315,315,315,315,315,315,315,630,315,630,315,630,1260,
210,105,105,315,420,1260,420,840,210,210,630,840,420,1260,1260,1260,2520,105,
630,315,315,105,210,1260,1260,1260,420,1260,420,1260,21,105,210,630,840,840,
2520,280,120,360,360,504,504,504,945,315,945,315,945,945,945,315,945,945,945,
315,945,945,945,420,420,420,840,420,420,840,420,140,420,420,420,70,420,210,
210,420,420,70,210,420,420,35,280,35,280,840,140,280,280,560,420,1680,140,280,
378,378,378,756,756,378,126,378,378,378,378,378,378,480,360,720,315,630,630,
630,315,630,315,315,315,315,315,315,630,630,630,630,630,630,630,315,630,315,
315,105,315,315,315,105,315,315,315,315,315,35,315,105,315,315,315,315,315,
315,315,315,315,105,315,315,315,105,315,35,105,315,315,1260,35,70,70,70,140,
630,630,315,315,105,315,315,315,105,210,315,105,105,315,315,630,630,1260,560,
280,560,360,504,504,504,126,21,42,480,945,420,210,420,420,420,210,420,140,420,
420,420,420,420,210,210,210,70,210,210,210,420,420,35,210,105,105,840,105,35,
210,105,840,840,140,420,420,840,840,420,420,420,420,420,140,840,378,378,378,
378,378,126,378,120,240,120,360,360,315,315,315,315,315,315,315,315,315,315,
315,315,315,105,315,315,315,105,315,315,315,105,315,105,315,315,105,105,210,
210,210,105,315,315,315,105,315,630,315,315,280,280,280,140,70,504,126,126,
126,126,126,21,63,63,252,126,480,210,210,210,105,210,210,420,210,105,210,70,
210,210,210,105,105,35,105,105,105,35,70,105,105,105,105,105,420,35,70,70,140,
420,105,420,378,120,360,30,84,168,315,315,315,315,280,140,140,140,70,140,140,
126,126,126,126,63,126,63,63,21,63,63,63,126,42,126,120,210,105,105,105,105,
105,105,35,105,105,105,35,105,210,105,105,105,35,105,210,210,105,105,105,90,
84,84,84,168,7,140,70,70,70,35,126,63,63,63,63,63,21,63,126,120,120,105,105,
105,105,30,84,21,42,42,21,70,35,35,35,63,28,21,21,21,42,21,7,21,35,30,28,1,21,
21,7,6,3,4,7,3,1,3,4,3,1,1],[1,210,105,56,1,112,1120,560,70,420,1260,315,630,
210,630,336,560,840,210,1680,105,3360,1680,1680,560,960,1260,210,105,1260,630,
315,315,1260,30,630,630,210,56,280,1120,560,1120,336,840,280,840,70,70,140,
560,560,1120,420,1260,315,630,840,420,210,630,1680,840,1680,336,336,672,630,
35,630,315,315,630,630,630,560,840,560,1120,280,560,1680,560,1680,1120,1008,
960,1920,960,840,420,210,1260,210,420,1680,105,1260,630,315,315,1260,840,420,
420,420,30,630,630,210,840,840,840,1680,840,840,840,280,336,336,672,315,210,
105,315,630,840,280,840,280,280,280,280,560,70,560,560,1120,420,1680,840,336,
210,70,210,630,35,630,140,70,140,315,315,630,630,630,420,840,560,280,560,240,
336,1008,56,168,960,315,840,280,280,420,210,1680,420,420,420,840,840,840,840,
336,210,315,210,210,210,70,420,105,315,630,210,105,280,280,280,280,168,168,
210,70,210,35,140,70,140,420,840,240,240,240,240,120,240,336,56,56,112,168,
315,210,105,280,280,210,35,70,210,210,70,140,105,56,168,168,28,35,240,120,240,
56,35,210,105,28,35,70,56,28,30,35,28,8,30,8,1,1],[1,56,210,840,1,210,105,105,
56,560,420,2520,28,420,2520,840,840,70,420,420,1260,2520,210,210,1260,1260,
315,1260,630,1260,630,630,420,2520,2520,1260,2520,105,315,1260,210,630,630,
630,336,1120,1120,112,560,56,560,840,1680,840,3360,1680,1120,560,1680,3360,
1680,560,1680,560,960,420,840,2520,210,420,2520,2520,1260,1260,1260,1260,840,
2520,1260,2520,2520,840,2520,2520,1260,2520,2520,2520,420,1260,5040,1260,70,
1260,210,1260,210,2520,210,2520,1260,1260,1260,1260,420,1260,105,2520,1260,
420,1260,1260,1260,2520,630,1260,1260,1260,1260,2520,1260,2520,315,630,630,
630,630,1260,630,315,1260,630,315,1260,315,315,315,1260,1260,2520,1260,2520,
1260,1260,1260,1260,2520,2520,210,630,630,630,1260,1260,30,630,630,210,630,
1260,630,1260,2520,210,630,280,2016,336,336,336,2016,1680,1120,560,1120,3360,
1680,3360,560,3360,3360,3360,3360,1120,1120,56,1680,1680,560,840,1680,840,840,
840,280,1680,840,840,840,1680,1680,70,560,420,3360,1680,3360,3360,3360,1680,
1680,1680,560,3360,3360,1680,1680,560,1680,1680,840,960,1920,336,2520,210,
2520,1260,1260,420,2520,210,2520,840,2520,1260,2520,1260,2520,2520,630,630,
1260,1260,630,2520,1260,420,1260,1260,1260,1260,1260,1260,1260,2520,420,2520,
420,2520,1260,2520,2520,2520,420,1260,1260,2520,1260,2520,2520,2520,1260,630,
1260,210,630,630,35,1260,630,420,210,630,1260,1260,1260,2520,630,630,1260,
1260,1260,630,1260,1260,630,1260,2520,105,1260,1260,630,1260,315,630,315,1260,
630,630,1260,315,630,630,630,630,630,1260,1260,315,630,315,1260,1260,315,630,
1260,315,630,315,1260,315,630,630,630,630,1260,630,1260,630,1260,1260,1260,
2520,2520,2520,2520,30,630,630,1260,210,630,1260,1260,630,630,1260,1260,630,
560,1120,560,280,1120,280,280,560,560,560,560,1008,2016,2016,672,336,1008,
1008,1008,960,1680,840,840,1680,1680,1680,1680,1680,560,3360,1680,840,840,
1680,1680,560,3360,3360,3360,3360,840,560,1680,1680,1680,840,840,1680,840,280,
840,840,840,840,1680,840,140,420,70,420,210,420,210,560,1680,1680,420,840,420,
420,420,840,420,420,420,1680,1680,1680,1680,840,840,840,840,840,840,840,840,
960,672,336,336,672,336,1260,1260,2520,630,1260,420,1260,1260,1260,105,1260,
1260,2520,630,630,630,1260,1260,1260,1260,1260,210,630,630,630,420,1260,1260,
1260,630,630,1260,1260,1260,1260,1260,1260,630,315,1260,630,35,630,630,210,
315,1260,630,210,210,630,630,630,1260,630,630,315,630,1260,630,1260,1260,315,
315,315,105,630,315,630,315,315,630,630,315,315,630,630,315,1260,1260,630,630,
630,630,630,630,630,630,630,630,630,630,1260,1260,1260,1260,1120,280,1120,560,
560,1120,1120,560,560,560,1120,1120,560,280,560,280,560,280,280,280,560,280,
280,560,560,1120,1120,280,560,560,280,1008,2016,2016,336,1008,960,1920,840,
1680,1680,840,420,840,840,840,840,840,840,840,1680,1680,420,840,420,840,840,
420,840,420,840,840,840,840,1680,280,840,840,840,70,420,420,420,210,420,210,
210,210,70,420,210,420,210,210,420,1680,70,420,420,420,420,840,840,420,420,
420,420,420,840,840,840,840,840,840,840,840,1680,240,336,672,672,336,336,336,
336,672,56,168,630,630,1260,210,630,630,1260,315,630,210,630,630,630,630,630,
630,315,630,315,630,315,210,630,315,630,630,630,630,630,1260,105,315,315,315,
315,630,315,630,630,630,560,560,1120,280,560,560,560,560,560,560,1120,560,280,
560,560,560,560,560,280,280,560,280,280,280,280,560,280,280,280,560,280,280,
560,280,1008,960,840,420,420,840,840,420,420,840,840,210,420,420,420,420,420,
420,840,420,420,420,210,140,420,420,420,210,210,420,210,70,210,210,210,210,
420,210,70,210,210,210,70,210,70,420,420,105,840,840,240,336,672,672,336,336,
336,112,168,56,168,336,168,336,168,168,315,630,630,105,315,630,630,315,315,
315,315,280,560,560,280,280,560,560,280,280,280,560,560,280,280,280,280,35,
240,120,240,56,210,420,420,420,210,210,210,420,420,70,210,210,210,210,210,70,
210,210,210,210,105,105,210,105,336,336,168,336,56,168,168,336,336,168,168,
315,280,280,140,35,35,35,70,70,240,240,120,240,112,112,56,56,56,28,210,105,
210,210,210,105,105,168,168,70,70,70,35,70,35,70,35,70,120,112,56,112,56,56,
56,56,28,28,28,105,35,70,70,35,35,30,56,56,28,56,28,28,35,8,30,28,16,8,8,1,2,
1,1],[1,210,3,630,105,315,56,560,70,420,1260,630,630,3780,3780,315,630,1890,
1890,1,630,315,315,420,2520,945,3780,1890,3780,210,1890,630,1890,1260,336,560,
168,1680,840,2520,1680,1680,5040,1680,560,5040,1680,960,1260,210,3780,210,630,
1260,3780,105,1260,1260,3780,3780,3780,630,3780,3780,210,630,3780,3780,945,
1890,1890,1890,7560,1890,1890,3780,945,3780,3780,7560,1890,3780,315,945,315,
945,1260,3780,3780,1260,3780,105,945,3780,630,1890,1890,1890,3780,630,1890,
945,945,1890,1890,3780,3780,3780,3780,7560,30,630,630,630,1890,3780,1890,1260,
1890,1890,3780,3780,210,1890,630,630,280,336,1008,1008,1680,840,5040,56,1680,
2520,2520,2520,5040,280,2520,2520,840,1680,70,560,420,5040,1680,5040,560,5040,
5040,1680,5040,1680,5040,5040,10080,840,2880,336,3780,630,3780,70,3780,630,
630,1890,3780,35,630,630,1890,420,420,3780,315,3780,1260,3780,1890,3780,7560,
315,945,1260,3780,1890,3780,3780,1890,7560,315,1890,1890,315,630,1890,1890,
945,3780,1890,945,945,945,945,3780,3780,3780,3780,3780,945,1890,1890,3780,
3780,945,945,1890,3780,1890,1890,945,1890,630,630,1890,1890,3780,3780,630,
1890,3780,1890,1890,210,630,1890,1890,3780,3780,90,1890,1890,630,1890,3780,
1890,3780,630,1890,1260,3780,1890,1890,1890,3780,3780,1890,1890,3780,3780,
1890,3780,3780,3780,3780,1890,3780,1890,3780,1890,1890,3780,3780,3780,3780,
560,280,840,840,560,1680,1680,1008,1008,3024,336,1008,960,560,2520,5040,840,
2520,840,2520,840,2520,2520,2520,2520,2520,5040,420,210,1260,210,630,1680,
1680,5040,420,1260,1260,420,420,1260,1260,1680,5040,5040,1680,560,5040,5040,
2520,840,2520,840,840,2520,2520,840,960,1008,336,1008,1260,1890,3780,315,1890,
210,1890,105,1890,630,1890,945,1890,3780,210,630,105,1260,1890,3780,945,945,
945,1890,105,315,945,945,630,630,1890,945,1890,1890,945,3780,630,1890,315,315,
1260,945,1890,945,945,3780,945,1890,1890,1890,1890,3780,1890,1890,3780,1890,
1890,1890,1890,1890,1890,1890,1890,945,945,945,945,1890,1890,3780,3780,1890,
1890,1890,1890,30,630,630,210,1890,3780,3780,1890,1890,3780,1890,1260,3780,
1260,1890,3780,1890,630,630,1680,280,1680,280,840,840,280,840,840,280,840,
1680,1680,1680,1680,1680,1680,280,336,3024,3024,2880,840,2520,2520,280,840,
2520,2520,1260,210,1260,70,1260,630,630,630,1260,70,210,630,630,420,560,5040,
5040,70,1260,420,1260,420,1260,1260,1260,1260,1260,1260,1260,2520,1680,840,
2520,2520,2520,2520,2520,2520,2520,840,2520,2520,2520,2520,2520,240,336,1008,
1008,1008,336,56,168,630,945,1890,315,945,35,630,945,1890,630,630,1890,945,
945,315,945,315,945,945,945,945,945,1890,315,945,1890,1890,1890,945,945,630,
630,630,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,560,840,1680,
280,840,840,840,280,840,840,840,840,840,1680,560,1680,840,280,840,1008,960,
840,420,630,1260,210,630,210,630,210,630,630,630,630,630,1260,1680,210,210,
630,210,70,630,210,420,1260,1260,420,420,1260,1260,105,840,840,840,840,2520,
2520,2520,2520,720,336,1008,1008,168,168,504,504,168,504,315,945,945,210,1890,
105,315,945,945,630,1890,280,840,840,280,840,280,840,280,840,840,35,240,120,
240,56,210,630,630,70,210,630,630,70,630,630,630,210,630,210,210,630,630,630,
630,630,420,315,105,315,840,240,336,504,56,504,168,504,504,315,280,280,105,35,
105,70,210,720,360,720,56,168,168,28,210,210,210,70,630,630,630,630,105,315,
315,168,168,35,105,105,210,210,35,105,210,105,105,240,120,240,168,56,168,28,
84,84,210,105,35,70,105,105,210,30,56,84,28,84,35,8,90,28,24,30,8,1,3,1],[1,
210,1,210,105,105,56,560,70,420,1260,210,210,1260,1260,315,630,630,630,28,420,
105,420,315,1260,1260,210,630,630,630,336,560,56,560,840,840,1680,560,1680,
1680,560,1680,560,960,1260,70,1260,210,210,420,1260,105,1260,420,1260,1260,
1260,630,1260,1260,210,1260,210,1260,315,630,630,630,630,630,315,1260,630,315,
315,315,315,1260,1260,1260,1260,1260,420,1260,210,630,1260,630,1260,630,1260,
1260,30,630,630,210,630,1260,630,1260,210,630,2520,280,336,336,336,560,840,
1680,560,56,840,840,840,280,840,840,840,1680,70,560,420,1680,1680,1680,1680,
560,1680,560,1680,560,1680,1680,840,960,336,1260,630,1260,210,420,210,630,630,
35,630,210,630,420,1260,420,105,1260,1260,420,630,1260,315,315,1260,1260,630,
1260,1260,630,315,630,630,630,630,630,1260,630,630,315,630,315,1260,1260,315,
630,1260,315,315,1260,1260,315,630,630,630,630,1260,630,630,1260,1260,1260,30,
630,630,1260,210,1260,630,1260,1260,630,630,1260,630,1260,560,280,280,280,560,
560,560,336,1008,1008,1008,1008,672,960,560,840,1680,840,840,840,840,280,840,
840,840,840,840,420,70,420,210,210,560,1680,1680,420,420,420,420,420,420,420,
1680,1680,1680,1680,1680,1680,560,840,840,840,840,840,840,840,840,960,336,336,
336,1260,630,1260,315,630,630,210,35,630,630,210,315,630,210,210,630,1260,105,
1260,315,315,315,105,315,315,315,630,630,630,315,630,630,315,630,630,630,315,
315,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,630,1260,1260,
1260,1260,560,280,560,280,280,280,280,280,280,560,560,560,280,280,560,560,280,
336,1008,1008,960,840,840,840,840,840,280,840,420,210,420,70,420,210,210,210,
70,210,210,210,420,1680,70,420,420,420,420,420,420,420,420,420,420,420,1680,
840,840,840,840,840,840,840,840,240,336,336,336,336,336,672,56,168,630,315,
630,315,315,210,630,630,210,630,630,315,315,105,315,315,315,315,315,630,630,
630,630,630,630,560,280,560,280,280,280,280,280,280,280,280,280,280,560,560,
280,280,280,1008,960,840,420,210,420,210,210,210,210,70,210,210,210,210,210,
70,210,210,210,70,210,70,420,420,420,420,420,420,420,105,840,840,240,336,336,
336,168,56,168,168,168,168,315,315,315,315,315,105,315,280,280,280,280,280,
280,280,280,280,280,35,240,120,240,56,210,210,210,70,210,210,210,210,210,70,
210,210,210,210,420,105,105,105,336,168,56,168,168,168,168,315,280,280,35,35,
35,70,70,240,120,240,56,56,56,28,210,210,105,105,105,168,168,70,35,70,35,35,
70,70,120,56,56,56,28,28,28,105,35,35,35,30,56,28,28,28,35,8,30,28,8,8,1,1,
1],[1,84,210,1260,105,56,1,112,1120,560,630,3780,1260,70,630,420,1260,3780,
315,1890,630,1890,3780,210,630,336,1680,1680,168,560,840,2520,210,1680,28,420,
105,336,5040,5040,3360,10080,3360,1680,1680,5040,1680,560,960,630,1260,3780,
1890,1890,1260,3780,1260,3780,3780,1260,210,1890,3780,1890,1890,105,3780,1260,
3780,630,1890,315,1890,315,1260,3780,3780,30,630,630,3780,210,56,280,1120,560,
1120,3024,336,3024,2520,1680,5040,5040,5040,1680,2520,840,280,2520,840,2520,
70,70,140,560,560,1120,210,210,420,1260,1260,1260,315,630,630,630,840,420,
5040,5040,420,1260,210,630,5040,5040,10080,1680,5040,840,1680,2880,336,336,
672,3780,1890,315,3780,1890,630,1890,1890,1890,3780,3780,630,35,1890,630,630,
1890,1890,1890,945,315,945,1890,315,945,630,630,630,1890,3780,3780,840,1680,
56,560,560,840,840,560,1120,280,1680,840,560,3360,3360,560,1680,1680,560,1680,
560,1680,3360,3360,1120,3024,1008,1008,960,1920,960,2520,1260,2520,2520,1260,
1260,5040,840,2520,840,2520,210,420,210,630,210,1260,420,210,630,420,420,1260,
1680,1680,420,1260,630,630,1260,1260,630,630,105,420,1260,1260,1260,1260,1260,
630,630,315,630,315,1260,1260,2520,840,2520,420,1260,420,1260,420,1260,30,630,
630,1260,210,840,840,840,1680,840,840,840,280,1008,336,1008,1008,336,1008,
2016,672,2016,1890,630,1890,945,1890,1890,315,1890,210,945,1890,105,945,315,
945,630,1890,1680,840,1680,840,1680,560,840,840,1680,840,280,840,840,840,280,
3360,280,840,280,840,1680,280,560,70,560,560,1120,420,1680,1680,560,1680,1680,
1680,1680,840,3360,3024,960,2880,336,2520,1260,1260,1260,630,1260,1260,1260,
1260,630,210,70,630,210,630,1260,630,630,1260,210,35,630,630,210,1260,140,
1260,70,140,105,1260,630,630,630,630,630,1260,630,630,315,315,315,630,315,315,
630,630,630,630,2520,420,1260,1260,1260,840,2520,2520,2520,560,560,280,280,
560,280,560,240,1008,336,1008,1008,336,1008,2016,56,168,960,945,315,945,315,
945,945,945,840,840,840,840,840,840,840,280,840,840,840,840,840,280,840,280,
840,1680,70,420,420,210,210,1680,1680,420,420,420,420,420,420,420,1680,840,
840,840,840,336,336,336,630,1260,630,630,210,630,210,630,630,210,630,315,630,
630,210,420,210,210,70,420,315,630,315,630,105,315,315,315,630,630,210,105,
560,280,560,280,280,560,280,280,280,280,560,280,1008,1008,504,168,168,504,504,
168,960,945,840,840,840,420,210,210,420,210,70,210,210,210,35,140,70,140,420,
420,420,420,420,420,420,840,840,240,240,240,240,120,240,336,336,336,56,56,112,
168,630,315,315,315,315,210,105,315,315,315,630,105,315,280,280,280,280,280,
280,280,280,280,280,504,504,210,210,70,210,210,210,210,210,35,70,420,210,210,
70,140,420,105,360,336,168,168,56,168,56,168,336,168,168,168,28,315,315,280,
280,35,240,120,240,56,105,210,35,105,210,105,105,105,168,168,168,84,84,28,70,
35,70,120,56,56,56,28,105,105,30,84,35,35,35,56,28,28,28,8,35,30,28,24,8,8,1,
3,1,1],[1,56,210,840,3,630,105,315,56,560,420,2520,28,420,2520,840,840,70,420,
420,1260,2520,630,630,3780,3780,315,1260,630,1260,1890,1890,420,2520,2520,
1260,2520,1,630,28,420,315,315,420,420,2520,945,3780,1890,3780,1260,210,1890,
630,1890,1260,336,1120,1120,112,560,168,1680,840,1680,2520,3360,1680,1120,
1680,5040,3360,1680,560,5040,1680,960,420,840,2520,210,420,2520,2520,1260,
1260,1260,1260,840,2520,1260,2520,2520,840,2520,2520,1260,2520,2520,2520,28,
420,1260,420,420,840,1260,2520,5040,1260,210,3780,210,1260,630,2520,210,2520,
1260,1260,1260,1260,1260,3780,105,2520,1260,1260,3780,3780,3780,2520,630,3780,
3780,1260,1260,2520,1260,2520,210,630,210,3780,1260,3780,210,1260,945,630,
1890,630,1890,630,1890,630,7560,1890,1260,1890,3780,945,3780,3780,7560,1890,
3780,315,1260,945,315,945,1260,3780,2520,1260,2520,3780,1260,1260,3780,1260,
1260,420,1260,2520,1260,1260,2520,420,5040,1260,5040,2520,2520,2520,2520,2520,
2520,105,945,3780,420,1260,630,1890,1890,1890,3780,1260,630,1890,945,1260,945,
1890,1890,3780,3780,3780,3780,7560,30,630,630,630,1890,3780,1890,1260,1890,
1890,3780,3780,2520,210,1890,2520,630,630,280,2016,336,1008,1008,2016,1680,
1120,560,1120,3360,1680,3360,560,3360,3360,3360,3360,1120,1120,56,1680,1680,
1680,840,5040,56,1680,560,56,2520,840,2520,840,2520,5040,280,1680,2520,2520,
840,1680,1680,1680,1680,70,560,420,3360,1680,3360,3360,3360,5040,1680,5040,
560,3360,3360,560,5040,1680,560,1680,5040,1680,1680,5040,1680,560,5040,5040,
10080,840,2880,1920,336,2520,210,2520,1260,1260,420,2520,210,2520,840,2520,
1260,2520,1260,2520,2520,210,210,1260,1260,630,630,630,630,1260,1260,630,2520,
1260,420,1260,1260,1260,1260,1260,1260,1260,2520,420,2520,420,2520,1260,2520,
2520,2520,1260,1260,1260,1260,420,1260,1260,1260,1260,1260,1260,2520,1260,
2520,2520,2520,2520,2520,420,1260,2520,2520,1260,1260,2520,3780,630,3780,70,
210,3780,420,630,630,630,630,1890,3780,35,1260,630,420,630,1890,1260,420,420,
1260,1260,2520,210,210,1260,1260,630,630,630,630,1260,1260,1260,630,1260,1260,
630,1260,2520,420,3780,1260,420,315,1260,3780,1260,3780,1260,420,1890,3780,
7560,315,630,945,1260,3780,1260,1260,1260,1890,3780,3780,1260,1260,1890,7560,
1260,315,1890,1890,1260,1260,1260,1260,630,1260,1260,1260,1260,630,630,1260,
1260,2520,2520,315,630,630,630,1890,630,1890,630,630,630,630,630,945,1260,
3780,1260,630,1260,1260,1890,1260,630,630,630,630,945,630,945,630,945,945,
3780,3780,1260,1260,1260,3780,1260,1260,1260,3780,3780,945,1890,1890,3780,
1260,3780,1260,945,630,945,1890,3780,1890,1260,1890,2520,2520,945,1890,2520,
2520,630,630,1890,1890,3780,3780,630,1260,1890,3780,1890,1890,1260,1260,2520,
1260,1260,2520,2520,1260,2520,1260,1260,2520,2520,2520,2520,2520,2520,2520,
2520,210,630,1890,1890,3780,3780,1260,90,1890,1890,630,1890,3780,1890,3780,
1260,1260,630,1890,1260,1260,3780,1890,1890,1890,3780,3780,1890,1890,3780,
3780,1890,3780,3780,3780,3780,1890,3780,1260,1890,3780,1890,1890,1260,3780,
3780,3780,3780,560,1120,560,280,1120,840,840,560,560,1680,1680,1008,2016,2016,
672,1008,1008,3024,336,1008,1008,1008,1008,672,960,1680,840,840,1680,1680,
1680,1680,1680,560,3360,560,560,1680,1680,1680,3360,840,840,560,1680,1680,
1680,1680,560,560,3360,3360,3360,3360,56,560,840,840,560,1680,1680,1680,560,
560,2520,5040,1680,840,1680,2520,840,840,2520,1680,840,840,840,840,840,2520,
2520,840,2520,840,840,1680,2520,1680,2520,5040,3360,140,420,210,1260,210,420,
630,1680,1680,5040,420,840,1260,1260,420,840,420,1260,1260,1680,1680,1680,
1680,1680,1680,1680,1680,5040,1680,5040,560,1680,1680,1680,560,1680,1680,560,
1680,5040,5040,1680,1680,1680,1680,1680,560,2520,840,2520,840,840,2520,2520,
840,960,960,960,672,1008,336,672,1008,1260,1260,2520,210,1260,630,630,1260,
420,1260,1260,1260,420,1260,105,1260,420,1260,1260,2520,630,630,1260,1260,630,
1260,1260,1260,1260,1260,1260,1260,630,630,630,630,630,1260,630,210,630,630,
630,630,630,630,630,1260,420,1260,1260,1260,630,630,1260,1260,1260,1260,1260,
1260,420,1260,1260,420,1260,840,1260,1260,1260,1260,1260,420,1260,1260,420,
1260,1260,1260,1260,1260,1260,1260,1260,2520,1260,1260,1890,3780,1260,315,
1260,1890,210,630,630,630,1890,1260,210,105,630,1890,210,630,630,1890,210,
1260,945,1260,1890,3780,2520,210,630,1260,1260,630,1260,1260,630,630,1260,630,
630,630,630,630,1260,630,630,630,315,630,630,630,630,1260,630,1260,630,1260,
1260,1260,1260,105,1260,1260,1890,1260,3780,630,1260,1260,105,1260,1260,945,
315,945,315,945,1890,105,630,315,630,945,945,630,630,630,1260,630,1260,1890,
1260,630,1260,630,630,945,1890,1890,630,630,945,3780,630,1890,630,630,630,630,
315,630,630,630,630,1260,1260,1260,1260,315,630,315,1260,1260,945,630,1890,
630,1260,630,630,315,1260,945,630,945,3780,630,315,945,630,630,630,630,1260,
1890,1890,1890,1890,3780,1890,630,1890,630,3780,1890,1890,2520,1890,1890,1890,
1890,1890,1890,945,630,945,945,945,630,1260,1260,1890,630,1890,630,3780,3780,
1890,1890,1890,1890,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,
1260,30,630,630,1260,210,1890,3780,3780,1890,1890,3780,1260,1890,1260,1260,
1260,1260,1260,3780,1260,1260,1260,1260,1260,1890,3780,1890,630,1260,1260,630,
1120,280,1120,560,560,1120,1120,560,560,560,1120,1120,1680,280,1680,280,560,
840,840,280,560,840,840,560,560,1120,1120,280,840,560,560,280,1680,1680,280,
1680,280,1680,1680,1680,560,280,1008,1008,1008,2016,2016,336,336,336,3024,
1008,3024,1008,1008,2880,1920,840,1680,1680,840,420,840,840,840,840,840,840,
840,840,840,840,840,1680,1680,420,560,1680,1680,1680,840,420,840,840,420,840,
420,840,840,840,840,1680,1680,560,1680,1680,1680,1680,840,840,280,840,840,840,
840,840,2520,840,2520,840,280,840,840,840,2520,840,2520,840,840,840,840,840,
280,840,840,840,70,420,420,1260,210,1260,70,70,1260,420,630,210,630,210,630,
1260,70,420,210,420,630,630,420,420,420,560,5040,5040,70,1260,420,1260,420,
840,840,420,1260,420,420,1260,420,1260,1260,1260,420,420,1260,1260,2520,1680,
1680,1680,1680,1680,1680,1680,1680,840,2520,2520,2520,2520,2520,2520,2520,840,
2520,2520,2520,2520,2520,1680,960,240,336,672,672,336,336,1008,336,1008,336,
1008,336,672,672,56,168,1260,630,1260,630,1260,630,630,210,630,630,630,630,
1260,105,1260,630,1260,315,315,630,210,630,630,630,630,630,630,630,630,630,
630,210,630,630,630,210,630,630,630,630,630,630,630,630,630,630,630,630,630,
630,630,1260,1260,1260,1260,1260,630,630,945,630,1890,630,315,630,945,35,630,
630,210,210,630,630,630,945,630,1890,630,630,630,210,630,630,1890,945,630,945,
630,630,315,630,630,630,630,630,630,1260,630,630,315,630,630,630,630,630,315,
630,630,630,630,630,630,630,630,1260,315,315,945,630,315,315,315,315,315,945,
315,945,315,945,315,630,945,630,945,1890,1260,630,315,630,945,630,630,630,
1890,1890,1890,945,630,945,315,630,315,630,630,630,630,630,630,1890,1890,630,
630,1890,1890,1890,630,630,630,1890,1890,1890,1890,1890,1890,1260,1260,1260,
1260,1260,1260,1260,1260,1260,560,560,1120,280,560,280,280,560,560,560,560,
560,560,560,1120,560,280,560,560,560,560,560,560,560,560,1120,560,560,560,840,
1680,560,280,560,840,840,840,280,560,280,280,280,840,840,280,840,280,840,280,
840,1680,560,560,560,560,560,1120,280,560,280,1680,560,560,560,560,840,280,
560,840,1008,1008,1008,336,1008,1008,1008,960,960,960,840,840,840,420,420,840,
840,420,420,420,420,420,420,840,840,840,840,840,840,210,420,420,420,420,420,
420,840,420,420,420,420,420,840,420,420,420,420,420,420,1680,280,840,840,840,
840,840,840,840,70,420,210,210,140,420,420,420,420,420,630,1260,420,210,420,
630,210,210,210,210,630,420,210,210,210,630,210,630,210,630,210,420,630,420,
630,1260,840,1680,210,210,630,210,70,630,210,420,420,1260,1260,420,420,420,
420,420,420,420,420,420,1260,420,1260,420,420,420,420,420,420,105,840,840,840,
840,2520,2520,2520,2520,840,840,720,336,336,336,672,672,336,336,336,336,1008,
1008,336,336,336,112,168,168,504,336,504,336,168,504,630,315,630,630,630,210,
630,630,630,630,630,315,315,105,315,315,315,630,630,630,630,630,630,630,630,
315,630,315,630,945,315,945,315,210,1890,315,315,315,315,315,315,630,630,105,
315,315,315,945,315,945,315,315,315,315,315,105,315,315,315,630,1890,630,630,
560,280,560,560,560,280,560,280,280,280,280,280,560,560,560,280,280,280,280,
280,280,560,560,280,560,560,280,280,840,280,280,840,280,280,840,280,280,280,
280,280,280,280,280,280,280,280,840,280,560,560,280,280,840,280,840,280,35,
1008,960,240,120,240,56,840,210,420,420,420,420,420,420,420,420,420,210,210,
210,210,210,210,210,420,420,420,420,420,420,420,420,420,420,210,210,70,210,
210,210,210,210,630,210,630,210,70,210,210,210,70,210,210,210,630,210,630,210,
210,210,210,210,70,630,630,630,210,630,210,210,630,630,630,630,630,420,420,
420,420,315,105,210,315,840,840,240,336,336,336,336,336,336,336,336,168,336,
56,504,56,504,56,168,168,336,336,168,168,168,504,168,504,315,315,315,105,315,
315,315,315,315,315,315,315,315,315,315,280,280,280,280,280,280,280,280,280,
280,280,280,280,280,280,280,280,280,280,280,280,280,140,105,35,105,70,210,720,
240,360,720,112,112,56,168,168,28,210,210,210,420,105,210,210,210,210,210,210,
70,210,210,210,210,210,210,210,210,210,70,630,630,630,630,105,105,315,105,315,
105,336,168,168,168,56,168,168,168,168,168,168,168,168,168,168,315,280,280,70,
70,70,35,70,105,105,210,210,35,70,105,210,105,70,105,240,120,120,120,240,112,
56,112,56,168,56,168,56,56,56,56,28,84,84,210,105,105,105,210,105,105,105,105,
168,168,70,35,70,70,70,70,70,35,70,35,105,35,105,35,210,120,30,56,56,56,56,56,
56,56,56,28,56,28,84,28,28,84,28,105,35,35,35,35,35,35,35,8,90,56,28,28,28,28,
28,28,28,35,16,24,30,28,8,8,8,8,1,2,3,1,1,1,1],[1,210,3,630,105,315,56,4,448,
4480,560,70,420,1260,630,630,3780,3780,315,630,1890,1890,1,630,315,315,420,
2520,945,3780,1890,3780,210,1890,630,1890,1260,336,560,168,1680,840,2520,840,
6720,420,13440,1680,1680,5040,1680,560,5040,1680,960,1260,210,3780,210,630,
1260,3780,105,1260,1260,3780,3780,3780,630,3780,3780,210,630,3780,3780,945,
1890,1890,1890,7560,1890,1890,3780,945,3780,3780,7560,1890,3780,315,945,315,
945,1260,3780,3780,1260,3780,105,945,3780,630,1890,1890,1890,3780,630,1890,
945,945,1890,1890,3780,3780,3780,3780,7560,30,630,630,630,1890,3780,1890,1260,
1890,1890,3780,3780,210,1890,630,630,224,280,4480,2240,4480,336,1008,1008,
1680,840,5040,56,1680,2520,2520,2520,5040,280,2520,2520,840,1680,70,280,560,
560,2240,4480,1680,5040,1260,2520,3360,420,840,2520,5040,1680,5040,560,5040,
5040,1680,5040,1680,5040,5040,10080,1,112,1120,1680,13440,10080,840,6720,
20160,2880,336,1344,2688,3780,630,3780,70,3780,630,630,1890,3780,35,630,630,
1890,420,420,3780,315,3780,1260,3780,1890,3780,7560,315,945,1260,3780,1890,
3780,3780,1890,7560,315,1890,1890,315,630,1890,1890,945,3780,1890,945,945,945,
945,3780,3780,3780,3780,3780,945,1890,1890,3780,3780,945,945,1890,3780,1890,
1890,945,1890,630,630,1890,1890,3780,3780,630,1890,3780,1890,1890,210,630,
1890,1890,3780,3780,90,1890,1890,630,1890,3780,1890,3780,630,1890,1260,3780,
1890,1890,1890,3780,3780,1890,1890,3780,3780,1890,3780,3780,3780,3780,1890,
3780,1890,3780,1890,1890,3780,3780,3780,3780,2240,3360,560,4480,280,840,840,
560,1680,1680,6720,2240,6720,4480,1008,1008,3024,336,1008,3840,7680,960,560,
2520,5040,840,2520,840,2520,840,2520,2520,2520,2520,2520,5040,420,210,1260,
210,630,5040,840,1680,1680,1680,5040,420,5040,2520,1260,1260,5040,3360,420,
1260,1260,420,420,1260,1260,210,1680,5040,120,2520,2520,840,1680,5040,5040,
1680,560,5040,5040,105,3360,2520,10080,840,2520,840,840,2520,2520,6720,20160,
3360,3360,840,10080,10080,1120,960,1008,336,1008,1344,2688,1260,1890,3780,315,
1890,210,1890,105,1890,630,1890,945,1890,3780,210,630,105,1260,1890,3780,945,
945,945,1890,105,315,945,945,630,630,1890,945,1890,1890,945,3780,630,1890,315,
315,1260,945,1890,945,945,3780,945,1890,1890,1890,1890,3780,1890,1890,3780,
1890,1890,1890,1890,1890,1890,1890,1890,945,945,945,945,1890,1890,3780,3780,
1890,1890,1890,1890,30,630,630,210,1890,3780,3780,1890,1890,3780,1890,1260,
3780,1260,1890,3780,1890,630,630,3360,1120,3360,1680,280,1680,280,840,840,280,
840,840,280,840,1680,1680,1680,1680,1680,1680,56,1120,280,2240,6720,280,2240,
2240,4480,1680,6720,3360,560,1120,336,3024,3024,2880,1344,840,2520,2520,280,
840,2520,2520,1260,210,1260,70,1260,630,630,630,1260,70,210,630,630,420,2520,
140,2520,560,70,140,560,560,1120,5040,5040,70,560,1680,3360,1260,1260,2520,
2520,2520,1260,420,1260,420,1260,1260,1260,1260,1260,1260,1260,2520,420,840,
1260,315,630,1680,210,630,840,1680,2520,2520,2520,2520,2520,2520,2520,5040,
840,2520,2520,2520,2520,2520,2240,1120,2240,240,336,1008,1008,1008,336,4032,
336,672,56,168,3840,630,945,1890,315,945,35,630,945,1890,630,630,1890,945,945,
315,945,315,945,945,945,945,945,1890,315,945,1890,1890,1890,945,945,630,630,
630,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,3360,560,560,1120,
840,1680,280,840,840,840,280,840,840,840,840,840,1680,560,1680,840,840,280,
840,1680,840,6720,1680,1680,1680,3360,3360,3360,3360,1680,1680,560,1120,1008,
960,1920,960,1344,840,420,630,1260,210,630,210,630,210,630,630,630,630,630,
1260,1260,840,1260,210,420,1680,210,210,630,210,70,630,210,1680,420,1260,2520,
420,1260,1260,420,420,1260,1260,105,1260,840,840,105,2520,630,315,315,1260,30,
630,630,210,840,840,840,1680,840,840,840,2520,2520,2520,2520,5040,5040,2520,
2520,1120,1120,1120,1120,280,720,336,1008,1008,336,672,168,168,504,504,168,
504,315,945,945,210,1890,105,315,945,945,630,1890,840,280,840,840,280,840,280,
840,280,840,280,560,840,840,840,280,840,70,560,35,560,1680,280,560,560,1120,
1680,420,3360,1680,840,960,960,240,960,120,240,1344,336,56,224,448,672,210,
630,630,70,210,630,630,1260,630,35,630,140,70,140,630,630,630,210,630,210,210,
630,630,630,630,630,420,315,315,105,315,315,630,630,630,840,1120,1120,560,280,
560,240,336,1008,504,56,504,168,504,504,960,315,840,280,280,840,420,210,105,
35,105,70,210,840,840,280,560,1680,420,420,420,420,840,840,840,840,720,360,
720,336,56,168,168,672,672,28,210,315,210,210,210,70,420,630,630,630,630,105,
315,210,105,315,315,630,280,280,280,280,140,168,168,960,480,960,224,210,70,
210,35,140,105,105,210,210,35,105,210,105,105,840,70,140,420,420,840,240,240,
240,240,120,240,336,168,56,168,56,112,168,28,84,84,315,210,105,280,280,140,
280,224,112,210,35,70,105,105,210,210,210,70,140,105,30,56,168,168,84,28,84,
140,35,240,120,240,56,112,35,210,105,8,90,28,35,70,120,56,28,24,30,35,32,28,8,
30,1,8,3,4,1,1],[1,168,210,2520,3,630,105,315,56,4,448,4480,560,1260,7560,84,
1260,7560,2520,2520,70,1260,420,1260,7560,630,630,3780,3780,315,3780,630,3780,
1890,1890,1260,7560,7560,3780,7560,1,630,84,1260,315,315,420,1260,2520,945,
3780,1890,3780,3780,210,1890,630,1890,1260,336,3360,3360,336,560,168,1680,840,
5040,2520,840,6720,112,1680,420,1344,20160,10080,13440,40320,13440,1680,3360,
1680,5040,10080,1680,560,5040,1680,960,1260,2520,7560,630,1260,7560,7560,3780,
3780,3780,3780,2520,7560,3780,7560,7560,2520,7560,7560,3780,7560,7560,7560,84,
1260,3780,1260,1260,2520,3780,7560,15120,1260,210,3780,210,3780,630,7560,630,
7560,3780,3780,3780,3780,1260,3780,105,7560,1260,1260,3780,3780,3780,7560,630,
3780,3780,3780,3780,7560,3780,7560,210,630,630,3780,3780,3780,630,3780,945,
1890,1890,1890,1890,1890,1890,1890,7560,1890,3780,1890,3780,945,3780,3780,
7560,1890,3780,315,3780,945,315,945,1260,3780,7560,3780,7560,3780,3780,1260,
3780,3780,3780,1260,3780,7560,3780,3780,7560,1260,15120,3780,15120,7560,7560,
7560,7560,7560,7560,105,945,3780,1260,3780,630,1890,1890,1890,3780,3780,630,
1890,945,3780,945,1890,1890,3780,3780,3780,3780,7560,30,630,630,630,1890,3780,
1890,1260,1890,1890,3780,3780,7560,210,1890,7560,630,630,224,280,4480,2240,
4480,6048,336,1008,1008,6048,5040,3360,1680,3360,10080,5040,10080,1680,10080,
10080,10080,10080,3360,3360,168,5040,5040,1680,840,5040,56,1680,1680,168,2520,
2520,2520,2520,2520,5040,280,5040,2520,2520,840,5040,5040,1680,5040,70,280,
560,560,2240,4480,840,840,1680,5040,5040,5040,1260,2520,2520,2520,3360,420,
20160,20160,1680,5040,840,2520,10080,5040,10080,10080,10080,40320,5040,1680,
5040,1680,10080,10080,560,5040,5040,1680,5040,5040,1680,5040,5040,1680,1680,
5040,5040,10080,1,112,1120,1680,13440,10080,840,6720,20160,2880,5760,336,1344,
2688,7560,630,7560,3780,3780,1260,7560,630,7560,2520,7560,3780,7560,3780,7560,
7560,630,630,3780,3780,1890,1890,1890,1890,3780,3780,1890,7560,3780,1260,3780,
3780,3780,3780,3780,3780,3780,7560,1260,7560,1260,7560,3780,7560,7560,7560,
3780,3780,3780,3780,1260,3780,3780,3780,3780,3780,3780,7560,3780,7560,7560,
7560,7560,7560,1260,3780,7560,7560,3780,3780,7560,3780,630,3780,70,630,3780,
1260,630,1890,630,1890,1890,3780,35,3780,630,1260,630,1890,3780,420,1260,3780,
3780,7560,630,630,3780,3780,1890,1890,1890,1890,3780,3780,3780,1890,3780,3780,
1890,3780,7560,420,3780,3780,1260,315,3780,3780,1260,3780,3780,1260,1890,3780,
7560,315,1890,945,1260,3780,3780,3780,3780,1890,3780,3780,3780,3780,1890,7560,
3780,315,1890,1890,3780,3780,3780,3780,1890,3780,3780,3780,3780,1890,1890,
3780,3780,7560,7560,315,1890,630,1890,1890,1890,1890,1890,1890,1890,1890,1890,
945,3780,3780,3780,1890,3780,3780,1890,3780,1890,1890,1890,1890,945,1890,945,
1890,945,945,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,945,1890,
1890,3780,3780,3780,3780,945,1890,945,1890,3780,1890,3780,1890,7560,7560,945,
1890,7560,7560,630,630,1890,1890,3780,3780,630,3780,1890,3780,1890,1890,3780,
3780,7560,3780,3780,7560,7560,3780,7560,3780,3780,7560,7560,7560,7560,7560,
7560,7560,7560,210,630,1890,1890,3780,3780,3780,90,1890,1890,630,1890,3780,
1890,3780,3780,3780,630,1890,1260,3780,3780,1890,1890,1890,3780,3780,1890,
1890,3780,3780,1890,3780,3780,3780,3780,1890,3780,3780,1890,3780,1890,1890,
3780,3780,3780,3780,3780,1680,3360,224,2240,2240,3360,3360,560,4480,280,3360,
840,840,1680,560,1680,1680,13440,13440,2240,6720,6720,2240,6720,2240,6720,
13440,13440,4480,3024,6048,6048,2016,1008,1008,3024,336,1008,3024,3024,3024,
2016,3840,7680,960,5040,2520,2520,5040,5040,5040,5040,5040,1680,10080,1680,
1680,5040,5040,5040,10080,2520,2520,1680,5040,5040,5040,5040,1680,1680,10080,
10080,10080,10080,168,1680,2520,2520,1680,5040,5040,5040,560,1680,2520,5040,
5040,840,5040,2520,840,2520,2520,5040,2520,2520,2520,840,2520,2520,2520,2520,
2520,2520,2520,5040,2520,5040,2520,5040,10080,420,420,210,1260,210,1260,630,
840,5040,1680,840,2520,1680,1680,5040,1680,1680,5040,6720,1680,5040,2520,2520,
5040,5040,2520,2520,420,1680,5040,5040,5040,5040,5040,2520,2520,1260,2520,
1260,5040,5040,10080,3360,10080,420,2520,1260,1260,420,2520,420,1260,1260,210,
1680,5040,5040,120,2520,2520,5040,840,5040,5040,5040,5040,5040,5040,1680,5040,
5040,5040,5040,1680,5040,5040,5040,1680,5040,1680,560,5040,5040,5040,5040,
5040,5040,5040,5040,1680,28,420,105,336,5040,3360,10080,3360,2520,1680,5040,
10080,10080,10080,840,2520,840,840,2520,2520,6720,20160,3360,3360,840,10080,
10080,1120,960,2880,2880,2016,1008,336,2016,1008,4032,1344,4032,8064,2688,
8064,3780,3780,7560,630,3780,1890,1890,3780,1260,3780,3780,3780,1260,3780,315,
3780,1260,3780,3780,7560,1890,1890,3780,3780,1890,3780,3780,3780,3780,3780,
3780,3780,1890,1890,1890,1890,1890,3780,1890,630,1890,1890,1890,1890,1890,
1890,1890,3780,1260,3780,3780,3780,1890,1890,3780,3780,3780,3780,3780,3780,
1260,3780,3780,1260,3780,2520,3780,3780,3780,3780,3780,1260,3780,3780,1260,
3780,3780,3780,3780,3780,3780,3780,3780,7560,1260,3780,1890,3780,3780,315,
3780,1890,210,1890,1890,1890,1890,3780,630,105,1890,1890,630,630,1890,1890,
630,3780,945,3780,1890,3780,7560,210,630,3780,3780,1890,3780,3780,1890,1890,
3780,1890,1890,1890,1890,1890,3780,1890,1890,1890,945,1890,1890,1890,1890,
3780,1890,3780,1890,3780,3780,3780,3780,105,3780,1260,1890,3780,3780,1890,
3780,3780,315,3780,3780,945,945,945,945,945,1890,105,1890,315,1890,945,945,
1890,630,1890,3780,630,3780,1890,3780,1890,3780,1890,1890,945,1890,1890,1890,
1890,945,3780,630,1890,1890,1890,1890,1890,945,1890,1890,1890,1890,3780,3780,
3780,3780,315,1890,315,1260,3780,945,1890,1890,1890,3780,1890,1890,945,3780,
945,1890,945,3780,1890,945,945,1890,1890,1890,1890,3780,1890,1890,1890,1890,
3780,1890,1890,1890,1890,3780,1890,1890,7560,1890,1890,1890,1890,1890,1890,
945,1890,945,945,945,1890,3780,3780,1890,1890,1890,1890,3780,3780,1890,1890,
1890,1890,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,30,630,
630,3780,210,1890,3780,3780,1890,1890,3780,3780,1890,3780,3780,3780,3780,1260,
3780,3780,3780,3780,3780,1260,1890,3780,1890,630,3780,3780,630,3360,840,3360,
1680,1680,3360,3360,1680,1680,1680,3360,3360,2240,3360,3360,6720,3360,1120,
3360,3360,3360,1680,280,1680,13440,280,1680,840,840,280,1680,840,840,1680,
1680,3360,3360,280,840,1680,1680,840,1680,1680,840,1680,840,1680,1680,1680,
1680,56,1120,280,2240,6720,280,2240,2240,4480,1680,6720,6720,2240,6720,6720,
6720,6720,3360,13440,560,1120,3024,3024,3024,6048,6048,1008,336,1008,3024,
3024,3024,3024,3024,3840,2880,5760,1344,2520,5040,5040,2520,1260,2520,2520,
2520,2520,2520,2520,2520,2520,2520,2520,2520,5040,5040,1260,1680,5040,5040,
5040,2520,1260,2520,2520,1260,2520,1260,2520,2520,2520,2520,5040,5040,1680,
5040,5040,5040,5040,2520,2520,840,2520,2520,2520,840,2520,2520,2520,2520,2520,
280,2520,840,2520,2520,2520,2520,2520,2520,2520,2520,2520,840,2520,2520,2520,
210,1260,1260,1260,210,1260,70,210,1260,1260,630,630,630,630,630,1260,70,1260,
210,1260,630,630,1260,420,1260,5040,2520,2520,5040,840,140,2520,2520,840,5040,
560,5040,70,140,560,560,1120,5040,5040,70,560,1680,3360,420,5040,2520,2520,
2520,2520,2520,5040,2520,2520,1260,1260,1260,2520,1260,1260,2520,2520,2520,
2520,10080,1260,420,1260,1260,2520,2520,420,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,2520,420,840,1260,210,210,1260,1260,315,630,630,
630,5040,5040,5040,5040,5040,5040,5040,5040,5040,5040,1680,5040,5040,5040,420,
1260,210,630,10080,840,1680,2520,2520,2520,2520,2520,2520,2520,5040,10080,840,
2520,2520,2520,2520,2520,10080,10080,5040,10080,10080,2240,2240,1120,1120,
2240,1120,2240,2880,240,1008,2016,2016,336,1008,1008,1008,1008,1008,1008,336,
2016,2016,4032,1344,4032,8064,336,672,56,168,3840,3780,1890,3780,1890,3780,
1890,1890,630,1890,1890,1890,1890,3780,315,3780,1890,3780,945,945,1890,630,
1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,630,1890,1890,1890,630,1890,
1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,3780,
3780,3780,3780,3780,630,1890,945,1890,1890,1890,315,1890,945,35,1890,630,630,
630,1890,1890,1890,945,1890,1890,1890,1890,1890,630,630,630,1890,945,1890,945,
1890,1890,945,1890,1890,1890,1890,1890,1890,3780,1890,1890,945,1890,1890,1890,
1890,1890,945,1890,1890,1890,1890,1890,1890,1890,1890,3780,315,945,945,1890,
945,945,945,315,945,945,945,945,945,945,945,1890,945,1890,945,1890,3780,1890,
315,1890,945,1890,1890,1890,1890,1890,1890,945,1890,945,945,1890,945,1890,
1890,630,630,630,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,1890,
1890,1890,1890,1890,1890,3780,3780,3780,3780,3780,3780,3780,3780,3780,1680,
1680,3360,840,1680,840,840,1680,1680,1680,1680,1680,1680,1680,3360,1680,840,
1680,1680,1680,1680,1680,1680,1680,1680,3360,1680,3360,1120,3360,3360,3360,
3360,3360,560,560,1120,1680,840,1680,1680,280,1680,840,840,840,840,1680,280,
840,840,840,840,840,840,840,840,840,840,1680,1680,1680,1680,1680,1680,3360,
840,560,840,1680,1680,1680,1680,1680,56,560,840,840,3360,3360,840,280,1680,
840,6720,6720,280,1680,1680,840,840,6720,6720,1680,1680,1680,1680,1680,1680,
1680,6720,3360,3360,3360,3360,1680,1680,560,560,1680,1680,560,3360,3360,1120,
3024,3024,3024,1008,3024,1008,3024,960,1920,960,2880,2880,1344,1344,1344,2520,
2520,2520,1260,1260,2520,2520,1260,1260,1260,1260,1260,1260,2520,2520,2520,
2520,2520,2520,630,1260,1260,1260,1260,1260,1260,2520,1260,1260,1260,1260,
1260,2520,1260,1260,1260,1260,1260,1260,5040,840,2520,2520,2520,840,2520,2520,
2520,210,1260,630,630,420,1260,1260,1260,420,1260,630,1260,1260,210,1260,630,
210,630,630,630,630,1260,630,210,630,630,630,630,630,630,630,1260,630,1260,
630,1260,2520,2520,840,2520,1260,2520,2520,840,1680,1260,210,420,210,630,420,
420,1260,1680,1680,210,210,630,210,70,630,210,1680,1680,1260,2520,1260,2520,
420,1260,1260,1260,2520,2520,420,1260,1260,1260,1260,1260,1260,1260,1260,1260,
420,1260,420,1260,1260,1260,1260,1260,1260,1260,1260,1260,420,1260,105,420,
1260,1260,2520,840,2520,840,105,2520,1260,1260,1260,1260,630,630,630,630,630,
1260,630,315,630,315,1260,1260,1260,30,630,630,1260,210,840,840,840,1680,840,
840,840,2520,2520,2520,2520,2520,2520,5040,5040,2520,2520,2240,1120,2240,1120,
1120,2240,1120,1120,1120,1120,2240,1120,280,720,1008,1008,1008,2016,2016,336,
1008,1008,1008,1008,1008,1008,1008,4032,336,672,1008,1008,2016,2016,1008,336,
168,168,504,1008,504,1008,168,504,3840,1890,945,1890,1890,1890,630,1890,1890,
1890,1890,1890,945,945,315,945,945,945,1890,1890,1890,1890,1890,1890,1890,
1890,315,1890,945,1890,945,945,945,945,210,1890,945,945,945,945,945,945,1890,
1890,105,945,315,945,945,945,945,945,945,945,945,945,315,945,945,945,630,1890,
1890,1890,1680,840,1680,1680,1680,840,1680,840,840,840,840,840,1680,1680,1680,
840,840,840,840,840,840,1680,1680,840,1680,1680,3360,560,840,1680,280,3360,
840,840,840,840,840,280,840,840,840,840,840,840,840,280,840,840,840,840,840,
840,840,1680,1680,840,840,280,840,840,840,280,560,840,840,840,840,840,1680,
840,840,1680,840,280,840,840,840,70,560,35,560,1680,280,560,560,1120,1680,
1680,1680,1680,1680,1680,1680,420,3360,3360,1680,1680,1680,1680,1680,560,1680,
3360,840,3024,960,960,2880,960,240,960,120,240,1344,1344,1344,336,56,224,448,
672,2520,630,1260,1260,1260,1260,1260,1260,1260,1260,1260,630,630,630,630,630,
630,630,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,630,630,210,630,630,
630,210,630,630,630,630,630,70,630,210,630,210,630,630,630,630,630,630,630,
630,630,630,630,1260,1260,1260,1260,630,1260,630,210,35,630,630,210,1260,140,
1260,70,140,630,630,630,210,630,210,210,630,630,630,630,630,420,1260,1260,
1260,420,1260,1260,1260,105,1260,630,1260,315,315,2520,315,2520,105,630,315,
2520,630,630,630,315,630,630,630,630,315,315,630,630,630,630,1260,1260,840,
2520,2520,2520,2520,2520,1120,1120,1120,1120,1120,1120,1120,1120,1120,1120,
560,280,560,560,280,280,560,240,1008,1008,1008,336,1008,1008,1008,336,1008,
1008,2016,1008,504,1008,168,504,56,504,168,504,504,1008,1008,168,504,504,504,
504,504,960,945,945,945,315,945,945,945,315,945,945,945,945,945,945,945,840,
840,840,840,840,840,840,840,840,840,840,840,840,840,840,840,840,280,840,840,
840,280,840,840,840,280,840,1680,840,840,420,840,280,840,840,840,840,840,420,
70,420,210,210,1680,105,35,105,70,210,1680,1680,840,840,280,560,1680,1680,420,
420,420,420,420,420,420,420,1680,840,840,840,840,720,720,360,720,1344,336,336,
336,336,336,56,168,168,672,224,672,1344,672,672,672,28,630,630,630,1260,315,
630,630,630,630,630,630,210,630,630,630,210,630,630,630,1260,630,315,630,210,
630,630,210,420,210,210,70,420,630,630,630,630,315,315,105,315,315,315,210,
105,315,315,315,315,315,630,630,630,630,1120,1120,560,280,560,280,280,280,280,
280,280,560,560,280,140,1008,1008,504,504,504,168,504,168,504,504,504,504,504,
168,504,504,960,960,480,960,945,224,840,840,840,210,210,210,840,420,210,420,
210,210,70,210,210,210,35,140,210,105,105,210,210,35,210,105,210,105,210,105,
840,70,140,420,420,420,420,420,420,420,420,420,420,840,840,240,240,240,240,
360,120,360,240,336,336,336,336,168,336,168,168,56,168,168,168,672,56,112,672,
168,168,168,28,84,84,630,315,315,315,315,315,315,210,105,315,315,315,630,105,
315,315,315,280,280,280,280,280,280,280,280,280,280,280,140,280,504,504,480,
224,224,224,112,210,105,210,210,210,210,210,210,210,210,70,210,210,210,35,70,
420,105,105,105,105,105,210,210,210,70,140,420,420,105,360,30,336,168,168,168,
168,168,56,168,168,168,56,336,168,168,168,168,84,168,84,84,28,84,84,84,315,
315,280,280,140,140,140,35,240,120,240,224,56,112,112,112,105,105,105,210,35,
105,105,105,210,105,105,105,8,90,168,168,168,84,84,84,84,84,28,84,140,70,35,
70,120,120,56,56,56,112,28,105,105,48,24,30,84,35,35,35,32,56,28,28,28,24,8,
24,35,32,30,28,24,1,8,6,3,8,4,3,1,3,4,3,1,1]],
[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,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,10,10,10,10,10,12,12,12,12,
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,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,14,14,15,15,15,16,16,16,16,16,
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,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
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,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,20,20,20,20,20,20,20,20,20,20,20,
20,20,21,21,21,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
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,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,27,28,28,28,30,30,30,30,30,30,30,30,30,30,30,32,32,32,32,32,
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,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
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,
36,36,36,36,36,36,36,36,36,36,36,36,40,40,40,40,40,40,40,40,40,40,40,40,40,42,
42,42,45,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
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,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,54,54,54,54,54,54,54,56,56,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,63,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
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,
80,80,84,84,84,84,84,90,90,90,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
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,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,108,108,
108,108,108,108,108,108,108,108,108,108,108,112,120,120,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
120,120,120,120,126,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,144,144,144,144,144,144,144,144,
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,
144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,
144,144,160,168,168,168,168,168,168,168,168,180,180,180,180,180,180,180,180,
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,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,216,216,216,216,216,
216,216,216,216,216,216,216,216,216,216,216,216,224,240,240,240,240,240,240,
240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,
240,240,240,240,252,256,256,256,256,256,256,256,256,256,256,256,256,256,256,
256,288,288,288,288,288,288,288,288,288,288,288,288,288,288,288,288,288,288,
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,
288,288,288,288,288,288,288,288,288,288,288,288,288,288,336,336,336,336,360,
360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,384,384,384,
384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,
384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,
384,384,384,384,384,384,384,384,384,384,384,384,432,432,432,432,432,432,432,
432,432,432,432,432,432,432,432,480,480,480,480,480,480,480,480,480,480,480,
480,480,480,480,480,504,504,504,504,512,540,576,576,576,576,576,576,576,576,
576,576,576,576,576,576,576,576,576,576,576,576,576,576,576,576,576,576,576,
576,576,576,576,576,576,576,576,576,576,576,576,576,576,576,576,576,576,672,
672,672,672,672,672,672,672,720,720,720,720,720,720,720,720,720,720,720,720,
720,720,720,720,720,720,720,720,720,720,768,768,768,768,768,768,768,768,768,
768,768,768,768,768,768,768,768,864,864,864,864,864,864,864,864,864,864,864,
864,864,960,960,1008,1080,1080,1080,1080,1152,1152,1152,1152,1152,1152,1152,
1152,1152,1152,1152,1152,1152,1152,1152,1152,1152,1152,1152,1152,1152,1152,
1152,1152,1152,1152,1152,1152,1152,1152,1344,1344,1440,1440,1440,1440,1440,
1440,1440,1440,1440,1440,1440,1440,1440,1440,1440,1440,1440,1440,1440,1440,
1440,1440,1440,1440,1536,1536,1728,1728,1728,1728,1728,1728,2016,2016,2016,
2160,2160,2160,2160,2160,2304,2304,2304,2304,2304,2304,2304,2304,2304,2304,
2304,2304,2520,2688,2880,2880,2880,2880,2880,2880,2880,2880,2880,2880,3456,
3456,3456,3456,4032,4032,4320,4320,4320,4320,4320,4608,4608,5040,5040,5376,
5760,6912,6912,6912,7560,8640,8640,8640,8640,10080,10080,10080,13824,15120,
16128,17280,20160,20160,30240,40320,40320,60480,60480,80640,80640,80640,
120960,161280,241920,483840],
[2914,2862,2848,2294,2912,2736,2881,2829,2890,2911,2769,2069,2759,2572,1553,
2885,2580,1553,2294,2294,2886,2572,2801,2591,1553,2736,2736,2104,2104,2830,
2105,2740,2105,2465,2465,2574,1591,1578,2106,1595,2914,2736,2885,2574,2829,
2829,2789,2581,2388,2659,2109,2473,2109,2125,2853,2472,2746,2476,2602,2805,
2168,2175,2806,2753,2859,2480,2663,1865,2289,2667,1762,2878,2536,2800,2566,
799,1348,1291,332,1289,2545,2175,2483,1903,1348,2545,2759,1903,2483,2656,2572,
2294,1553,2736,2572,1553,1553,2105,2105,2105,2105,2303,1553,2104,1553,1553,
2294,1553,1553,2106,1553,1553,1553,2885,2578,2104,2574,2574,2302,2106,1587,
952,2591,2845,2104,2848,2105,2736,1553,2736,1553,2105,2105,2105,2105,2574,
2104,2881,1553,2591,2574,2104,2104,2104,1553,2740,2104,2104,2104,2105,1553,
2106,1553,2848,2736,2736,2104,2104,2104,2736,2104,2659,2465,2465,2465,2465,
2465,2465,2465,1608,2465,2105,2465,2129,2659,2104,2130,1608,2465,2130,2830,
2105,2659,2830,2659,2609,2147,1559,2111,1559,2109,2111,2598,2109,2125,2125,
2574,2104,1583,2123,2104,1583,2574,1105,2125,1105,1703,1704,1587,1587,1587,
1587,2881,2659,2109,2574,2123,2743,2472,2476,2476,2109,2125,2748,2472,2659,
2106,2659,2476,2468,2147,2147,2147,2147,1617,2899,2741,2746,2743,2472,2147,
2476,2613,2476,2476,2147,2147,1703,2856,2476,1704,2748,2748,2840,2831,2061,
2424,2069,1850,2805,2639,2639,1850,1865,2168,2480,2168,1323,1881,1323,2483,
1348,1348,1348,1348,2175,2175,2859,1865,1865,2480,2663,1879,2890,2480,2480,
2859,2289,2289,2289,2289,2289,1909,2832,1865,2289,2289,2663,1865,1906,2507,
1882,2886,2833,2763,2761,2420,2070,2667,2667,2536,1949,1949,1949,2590,2345,
2345,2345,2258,2801,799,799,2536,1954,2691,2376,1348,1903,1348,1348,1348,332,
1903,2545,1903,2483,1348,1348,2759,1903,1903,2483,1903,1903,2483,1903,1903,
2483,2483,1903,1903,1490,2914,2876,2636,2530,1277,1509,2704,1836,892,2275,
1859,2805,2554,2281,1553,2736,1553,2105,2105,2574,1553,2738,1553,2294,1553,
2104,1553,2105,1553,1553,2736,2736,2104,2104,2465,2465,2465,2465,2105,2105,
2467,1553,2105,2572,2105,2105,2105,2105,2105,2105,2105,1559,2578,1553,2580,
1553,2104,1553,1553,1553,2104,2104,2104,2104,2574,2104,2104,2104,2104,2104,
2104,1553,2106,1553,1553,1553,1587,1587,2574,2104,1583,1587,2106,2106,1570,
2104,2740,2104,2886,2736,2104,2578,2736,2465,2736,2465,2465,2130,2897,2105,
2740,2572,2736,2465,2111,2789,2581,2104,2105,1553,2736,2736,2104,2104,2465,
2465,2465,2465,2105,2105,2105,2466,2105,2105,2467,2105,1559,2801,2104,2104,
2574,2829,2104,2104,2574,2104,2104,2574,2465,2104,1608,2830,2466,2659,2591,
2104,2104,2104,2104,2465,2104,2104,2104,2104,2465,1608,2105,2830,2465,2465,
2104,2104,2104,2104,2465,2104,2104,2104,2104,2466,2467,2105,2105,1587,1587,
2830,2465,2740,2465,2465,2465,2465,2465,2465,2465,2465,2465,2659,2104,2104,
2104,2465,2104,2104,2465,2104,2465,2465,2465,2465,2659,2465,2659,2465,2659,
2659,2147,2147,2109,2109,2109,2109,2109,2109,2109,2129,2130,2659,2465,2473,
2129,2111,2109,2125,2659,2467,2659,2472,2147,2468,2119,2468,1626,1626,2659,
2473,1626,1626,2741,2741,2472,2472,2147,2147,2746,2141,2476,2147,2476,2476,
2143,2123,1583,2123,2165,1700,1702,2166,1587,2125,2125,1703,1703,1703,1703,
1704,1704,1704,1704,2853,2746,2472,2476,2147,2147,2165,2884,2472,2476,2743,
2472,2147,2476,2147,2165,2165,2750,2476,2602,2166,2147,2476,2476,2472,2137,
2147,2472,2472,2137,2147,2472,2147,2147,2147,2147,2476,2147,2166,2476,2147,
2476,2476,2166,2147,2147,2147,2147,2481,2168,2840,2417,2417,2193,2193,2753,
2061,2831,2175,2661,2661,2481,2759,2480,2483,1246,1246,2424,1834,1834,2424,
1834,2424,1834,1291,1291,2069,2272,1850,1850,2436,2639,2640,2272,2805,2639,
2272,2272,2272,2440,2103,1551,2656,1865,2294,2289,1865,1865,1865,1865,1865,
2480,1323,2480,2480,1879,1879,1879,1322,2303,2294,2483,1903,1903,1903,1903,
2483,2483,1348,1348,1348,1348,2859,2480,2289,2289,2492,1865,1865,1865,2753,
2480,2289,1879,1879,2663,1865,2289,2663,2289,2289,1879,2289,2289,2289,2662,
2289,2289,2289,2289,2289,2289,2289,1904,2289,1865,2289,1908,1369,2774,2780,
2845,2578,2848,2572,2736,2667,1949,2511,2667,2345,2529,2512,1956,2505,2535,
1965,1825,2536,1949,2345,2345,1949,1949,2345,2345,2800,2536,1949,1949,1949,
1949,1949,2345,2345,2590,2345,2590,1980,1950,1448,2258,1448,2801,2294,2574,
2574,2801,2294,2801,2574,2574,2848,2501,1975,1985,2874,2346,2376,1985,2696,
1903,1903,1903,1903,1903,1903,2545,1903,1903,1903,1903,2483,1903,1903,1903,
2483,1903,2545,2759,1903,1903,1903,1903,1903,1903,1903,1903,2483,2900,2801,
2881,2816,1966,2270,1498,2269,2411,2530,1975,1509,1509,1509,2704,2411,2704,
2704,2411,2411,1836,892,2262,2262,2705,1519,1520,2624,2656,2275,2275,2436,
2639,2805,2436,2639,2086,2554,2086,1546,2281,1546,2104,2105,1553,2736,2104,
2465,2465,2105,2572,2105,2105,2105,2574,2104,2829,2104,2574,2104,2105,1553,
2466,2466,2104,2104,2465,2104,2104,2105,2105,2105,2105,2105,2465,2465,2465,
2465,2465,2104,2465,2736,2465,2465,2465,2465,2465,2465,2465,2109,2572,2105,
2105,2105,2467,2467,2119,2119,2105,2105,2105,2105,2578,2104,2104,2578,2104,
2302,2104,2104,2104,2104,2104,2574,2104,2104,2574,2104,2104,2104,2104,2104,
2104,2104,2104,1587,2591,2104,2465,2104,2104,2830,2105,2465,2848,2465,2465,
2465,2465,2104,2736,2880,2465,2465,2736,2736,2465,2465,2736,2109,2659,2105,
2465,2129,1626,2853,2743,2104,2104,2465,2104,2104,2466,2467,2105,2465,2465,
2465,2465,2465,2104,2465,2465,2465,2659,2465,2465,2465,2465,2109,2467,2105,
2466,2141,2141,2143,2143,2881,2104,2591,2465,2104,2104,2465,2104,2104,2829,
2104,2104,2659,2659,2659,2659,2659,2473,2881,2466,2830,2466,2659,2659,2470,
2748,2479,2104,2740,2104,2465,2104,2465,2104,2465,2465,2659,2465,2465,2465,
2465,2659,2129,2741,2472,2465,2465,2465,2465,2659,2465,2465,2465,2465,2141,
2141,2143,2143,2830,2465,2830,2609,2109,2659,2465,2465,2465,2109,2465,2465,
2659,2109,2659,2465,2659,2147,2465,2659,2659,2465,2465,2465,2465,2109,2472,
2472,2472,2472,2147,2476,2476,2476,2476,2147,2472,2473,1626,2472,2472,2472,
2472,2472,2472,2659,2467,2659,2659,2659,2467,2119,2119,2476,2478,2468,2471,
2147,2147,2472,2472,2472,2472,2165,2165,2165,2165,2165,2165,2166,2166,2166,
2166,2166,2166,2899,2741,2746,2165,2856,2472,2137,2147,2472,2476,2147,2165,
2476,2165,2165,2165,2165,2602,2137,2166,2166,2166,2166,2613,2476,2147,2476,
2748,2166,2166,2748,2168,2661,2168,2481,2481,2175,2175,2481,2480,2482,2168,
2168,2417,2193,2193,1761,2193,2625,2193,2193,2193,2480,2831,2480,1246,2831,
2481,2661,2661,2831,2481,2661,2661,2483,2485,2175,2175,2831,2661,2480,2483,
2661,2483,2480,2661,2483,2661,2483,2498,2489,2488,2890,2628,2832,2426,1819,
2833,2420,2425,2070,2536,1834,1834,2424,1834,1834,1834,1834,2261,1291,2759,
2636,2272,2272,2272,1850,1850,2639,2805,2639,2272,2272,2272,2272,2272,2103,
2275,1859,2554,2289,1865,1865,2294,2574,2294,2294,2294,2294,2294,2289,2289,
2289,2289,2289,2289,1865,1865,2572,2480,1879,1879,1879,2303,2578,2303,2303,
2580,2303,2574,2294,2294,2294,2294,1903,1903,2483,1903,1903,1903,1903,2289,
2289,2662,2289,2289,2289,2663,2289,2289,2289,2289,2289,2832,2289,2663,2289,
2289,2289,2289,2289,2289,2289,2289,2289,2662,2289,2289,2289,2845,2572,2572,
2578,2848,2578,2886,2845,2578,2578,2736,2736,2736,2736,2736,2587,2886,2572,
2848,2572,2736,2736,2584,2789,2581,1949,2345,2345,1949,2667,2869,2345,2345,
2667,1956,2763,1956,2886,2870,2761,2760,2637,1965,1965,2887,2765,2530,2248,
2800,1949,2345,2345,2345,2345,2345,1949,2345,2345,2590,2590,2590,2345,2590,
2590,2346,2346,2376,2376,1448,2574,2801,2574,2574,2294,2294,2801,2574,2574,
2574,2574,2574,2574,2574,2574,2574,2574,2574,2574,2378,2801,2702,2591,2848,
2848,2591,2591,2830,2740,2740,2740,1966,1966,1975,1975,1985,1985,1903,1903,
1903,1903,2545,1903,1903,1903,2801,2596,2853,2746,1498,2704,2547,2411,2411,
2411,2411,2411,2411,2414,2055,1509,2704,2411,2411,2411,2411,2411,1516,1517,
2053,1519,1520,2417,2417,2624,2624,2424,2624,2424,2275,2837,2639,2436,2436,
2805,2639,2639,2639,2639,2639,2639,2805,2436,2440,2086,2554,2086,1546,2805,
2714,2890,2861,2103,2104,2465,2104,2466,2105,2465,2465,2736,2465,2465,2465,
2467,2105,2829,2104,2465,2104,2659,2659,2466,2738,2466,2466,2466,2465,2465,
2465,2465,2465,2465,2467,2736,2465,2465,2465,2736,2465,2465,2465,2465,2465,
2465,2465,2465,2465,2465,2465,2467,2467,2467,2467,2119,2104,2104,2104,2104,
2740,2465,2659,2465,2465,2465,2830,2466,2659,2897,2465,2740,2736,2736,2465,
2465,2465,2659,2465,2465,2465,2465,2465,2736,2743,2743,2472,2659,2467,2659,
2465,2465,2659,2465,2465,2466,2466,2466,2466,2143,2465,2465,2659,2465,2465,
2465,2465,2465,2659,2465,2465,2476,2476,2467,2467,2467,2467,2141,2830,2659,
2659,2465,2659,2659,2659,2829,2659,2659,2659,2659,2659,2659,2659,2468,2659,
2466,2659,2472,2152,2465,2830,2465,2659,2465,2465,2465,2472,2472,2472,2659,
2467,2659,2659,2465,2659,2476,2476,2741,2741,2746,2476,2472,2472,2476,2476,
2472,2472,2476,2476,2476,2476,2472,2472,2472,2472,2472,2472,2154,2165,2165,
2165,2165,2166,2166,2166,2166,2480,2481,2168,2661,2480,2661,2661,2483,2483,
2481,2481,2481,2481,2481,2175,2481,2661,2481,2481,2481,2480,2480,2480,2480,
2480,2187,2492,2193,2625,2193,2193,2193,2193,2193,2753,2753,2628,2480,2661,
2480,2480,2831,2481,2661,2661,2661,2661,2481,2831,2661,2661,2661,2661,2661,
2661,2661,2661,2661,2661,2497,2483,2483,2483,2483,2483,2210,2661,2759,2661,
2483,2480,2483,2483,2483,2890,2753,2663,2663,2198,2198,2662,2832,2492,2662,
1818,1819,2833,2511,2511,2667,2667,1825,1826,2536,2536,2536,2536,2536,2536,
2536,1834,2261,2261,2261,2262,2545,2545,2759,2759,2545,2545,2759,2270,2270,
2636,2272,2272,2272,2639,2272,2640,2272,2656,2464,2656,2275,2275,2554,2554,
2554,2289,2289,2289,2572,2574,2294,2294,2574,2574,2574,2574,2574,2574,2294,
2294,2289,2289,2289,2289,2736,2572,2572,2572,2572,2572,2578,2303,2578,2578,
2578,2578,2578,2302,2574,2574,2574,2574,2574,2574,1903,2662,2289,2289,2289,
2663,2289,2289,2289,2845,2578,2736,2736,2774,2572,2572,2572,2780,2578,2736,
2578,2578,2848,2572,2736,2848,2736,2736,2736,2736,2578,2736,2845,2736,2736,
2736,2736,2736,2736,2736,2582,2736,2572,2736,2586,2338,2345,2667,2345,2590,
2345,2345,2691,2529,2591,2848,2780,2848,2740,2789,2783,2598,2535,2523,2849,
2853,2743,2853,2887,2743,2849,2532,2530,2590,2345,2590,2376,2800,2590,2590,
2590,2346,2376,2801,2574,2574,2574,2574,2574,2574,2574,2574,2574,2801,2574,
2801,2574,2574,2574,2574,2574,2574,2574,2574,2574,2801,2591,2881,2801,2591,
2591,2388,2702,2388,2696,2881,2394,2591,2591,2591,2591,2740,2740,2740,2740,
2740,2591,2740,2830,2740,2830,2609,2594,2623,2899,2741,2746,2623,2856,2704,
2704,2704,2547,2705,2705,2705,2411,2411,2411,2411,2414,2414,2055,2056,2415,
2416,2417,2624,2417,2624,2624,2424,2624,2624,2624,2624,2424,2625,2831,2708,
2639,2639,2639,2436,2436,2805,2639,2639,2639,2639,2639,2639,2639,2086,2805,
2714,2640,2640,2445,2445,2641,2806,2860,2859,2766,2649,2767,2649,2861,2767,
2103,2465,2659,2465,2466,2466,2736,2465,2465,2465,2467,2467,2659,2659,2829,
2659,2659,2659,2466,2466,2465,2465,2465,2465,2467,2467,2830,2465,2659,2465,
2659,2659,2659,2659,2853,2472,2659,2659,2659,2659,2659,2659,2476,2476,2881,
2659,2830,2659,2659,2659,2659,2659,2659,2659,2659,2659,2829,2659,2659,2659,
2741,2472,2476,2476,2480,2661,2480,2481,2481,2661,2483,2661,2661,2661,2661,
2661,2483,2481,2481,2661,2661,2661,2661,2661,2661,2480,2480,2662,2492,2492,
2193,2753,2663,2494,2831,2198,2661,2661,2661,2661,2661,2831,2661,2661,2661,
2661,2661,2661,2661,2831,2661,2661,2661,2661,2661,2661,2661,2483,2483,2663,
2663,2832,2663,2663,2663,2832,2762,2662,2662,2662,2662,2662,2511,2667,2667,
2511,2667,2833,2667,2667,2667,2886,2760,2897,2763,2530,2834,2765,2761,2637,
2536,2536,2536,2536,2536,2536,2536,2801,2261,2262,2545,2545,2545,2545,2545,
2759,2545,2270,2704,2272,2655,2656,2275,2655,2837,2655,2873,2839,2554,2554,
2554,2805,2890,2840,2769,2729,2289,2736,2572,2572,2574,2574,2574,2574,2574,
2574,2574,2738,2736,2736,2736,2736,2736,2736,2572,2572,2578,2578,2578,2578,
2574,2574,2574,2574,2736,2736,2845,2736,2736,2736,2848,2736,2736,2736,2736,
2736,2886,2736,2848,2736,2845,2736,2736,2736,2736,2736,2736,2736,2736,2736,
2736,2736,2590,2590,2590,2591,2740,2591,2740,2848,2897,2740,2740,2848,2598,
2870,2598,2887,2872,2743,2743,2743,2849,2743,2849,2853,2743,2743,2743,2743,
2743,2800,2590,2590,2590,2801,2574,2574,2574,2881,2591,2740,2591,2830,2830,
2388,2829,2390,2881,2738,2829,2394,2740,2740,2740,2830,2740,2740,2740,2740,
2830,2830,2741,2741,2746,2746,2623,2623,2704,2412,2413,2414,2415,2416,2624,
2624,2624,2625,2624,2624,2624,2624,2625,2625,2753,2831,2753,2759,2831,2831,
2759,2837,2639,2639,2639,2805,2639,2639,2639,2805,2640,2640,2445,2641,2766,
2641,2859,2766,2890,2766,2859,2766,2767,2649,2649,2861,2767,2767,2767,2767,
2767,2656,2659,2659,2659,2829,2659,2659,2659,2830,2659,2659,2659,2659,2659,
2659,2659,2661,2661,2661,2661,2661,2661,2661,2661,2661,2661,2661,2662,2662,
2662,2663,2663,2663,2831,2661,2661,2661,2832,2663,2663,2663,2832,2662,2507,
2662,2662,2774,2667,2833,2667,2667,2667,2667,2667,2780,2886,2780,2848,2848,
2523,2880,2897,2880,2887,2849,2529,2530,2691,2691,2834,2765,2535,2536,2800,
2801,2801,2801,2801,2801,2801,2801,2545,2704,2704,2704,2705,2708,2710,2803,
2713,2554,2805,2805,2805,2806,2806,2890,2859,2859,2726,2840,2726,2566,2729,
2729,2729,2900,2736,2736,2736,2574,2829,2738,2738,2736,2736,2736,2736,2845,
2736,2736,2736,2848,2736,2736,2736,2590,2740,2830,2740,2848,2740,2740,2853,
2789,2853,2853,2887,2797,2743,2743,2743,2743,2830,2830,2881,2830,2830,2830,
2856,2881,2829,2829,2829,2829,2829,2740,2741,2746,2746,2624,2625,2753,2831,
2753,2831,2831,2831,2831,2831,2831,2759,2759,2832,2869,2639,2640,2766,2766,
2766,2859,2766,2860,2766,2767,2767,2767,2767,2861,2767,2767,2655,2656,2768,
2658,2659,2840,2661,2662,2663,2845,2846,2847,2667,2780,2848,2780,2848,2848,
2886,2848,2848,2848,2897,2870,2845,2880,2880,2849,2849,2897,2846,2880,2849,
2880,2847,2880,2691,2887,2872,2800,2800,2800,2801,2801,2801,2801,2801,2801,
2801,2704,2705,2837,2837,2837,2837,2803,2873,2803,2839,2805,2805,2805,2806,
2859,2806,2859,2859,2890,2859,2859,2859,2726,2890,2876,2729,2861,2862,2862,
2900,2885,2885,2736,2829,2829,2829,2830,2830,2830,2853,2881,2830,2830,2830,
2748,2881,2829,2829,2829,2831,2831,2831,2831,2831,2831,2831,2832,2832,2832,
2833,2869,2834,2766,2767,2768,2840,2840,2840,2878,2845,2880,2845,2846,2846,
2847,2847,2848,2848,2848,2886,2848,2848,2848,2897,2887,2789,2880,2880,2880,
2880,2880,2849,2853,2853,2887,2872,2800,2801,2881,2803,2899,2805,2859,2859,
2859,2859,2859,2890,2859,2860,2860,2890,2816,2861,2861,2861,2862,2885,2862,
2885,2885,2900,2885,2885,2885,2829,2830,2831,2832,2869,2869,2869,2897,2837,
2873,2839,2840,2890,2878,2878,2878,2880,2880,2880,2848,2897,2880,2880,2880,
2853,2881,2881,2881,2906,2884,2859,2860,2861,2885,2885,2885,2885,2885,2900,
2885,2869,2886,2897,2887,2873,2874,2890,2890,2890,2878,2900,2880,2881,2894,
2901,2899,2885,2897,2897,2897,2898,2890,2900,2900,2900,2901,2906,2901,2897,
2898,2899,2900,2901,2914,2906,2908,2912,2906,2911,2912,2914,2912,2911,2912,
2914,2914],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,9,9,1,9,1,9,1,1,1,10,10,1,11,
11,1,12,12,1,13,13,1,13,13,1,13,1,13,1,3,1,3,1,3,1,3,1,3,1,3,1,1,1,1,1,1,1,1,
1,1,1,1,5,5,5,1,5,6,1,6,1,3,1,3,1,3,1,3,1,3,1,3,3,1,1,3,1,3,3,1,3,1,3,3,1,3,1,
1,1,3,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,3,1,1,1,3,1,3,1,1,1,1,1,1,1,7,7,
3,1,3,1,1,1,1,1,1,5,5,5,1,5,5,5,6,1,6,7,7,6,6,6,6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,7,7,7,7,1,1,1,7,1,1,7,7,1,7,7,1,1,1,7,7,1,7,7,1,1,1,1,1,1,60,1,60,60,
1,9,1,9,9,1,9,1,1,1,13,13,13,13,9,9,9,9,9,9,1,9,1,9,1,9,1,9,9,9,1,9,1,9,9,1,9,
1,1,21,1,21,21,1,21,10,10,1,10,1,10,1,10,1,10,23,23,11,11,10,10,1,1,13,1,13,
13,13,12,13,13,13,13,13,13,1,13,1,13,13,1,13,13,1,13,1,13,13,13,41,41,41,47,
47,49,55,55,59,1,90,1,1,1,3,3,3,3,3,1,3,1,3,1,3,3,3,3,3,3,5,6,5,6,1,3,5,6,3,3,
1,3,3,1,3,1,1,3,1,3,3,3,1,3,1,3,1,3,1,3,5,5,5,5,1,1,1,5,5,5,5,3,1,3,3,3,6,6,5,
5,5,6,6,6,6,3,3,3,1,3,3,1,1,3,1,3,3,3,1,3,3,1,1,3,3,1,1,3,3,3,5,6,6,5,1,3,5,6,
3,3,3,1,3,1,1,3,3,1,3,3,1,1,3,3,1,3,3,1,3,3,3,7,7,7,1,3,1,3,3,1,3,1,3,1,3,3,7,
7,3,7,5,5,6,6,1,6,6,5,5,7,7,3,7,6,6,1,5,1,5,1,6,1,6,1,6,3,5,1,5,3,6,1,6,1,1,5,
1,5,3,6,1,1,1,1,1,1,7,7,3,5,6,1,3,5,6,3,3,1,3,1,3,3,1,1,7,7,7,7,7,7,7,7,6,8,7,
7,8,6,7,7,7,7,7,7,7,7,7,7,7,7,7,5,5,5,7,8,6,7,6,6,6,57,57,57,57,58,58,58,58,1,
1,1,1,7,7,7,1,1,7,1,1,7,7,1,1,1,7,7,1,1,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,
7,7,7,7,7,7,7,7,1,9,254,9,10,1,254,9,9,255,13,1,255,255,13,9,13,11,256,10,10,
13,257,257,13,1,12,258,13,1,60,60,60,60,60,60,1,60,60,1,60,60,1,90,90,3,23,1,
3,9,67,9,67,9,9,5,65,9,5,65,6,21,23,5,1,5,13,83,13,83,13,13,13,13,65,65,9,65,
9,9,9,9,9,9,9,9,9,67,67,67,1,65,9,65,1,9,65,1,9,9,1,9,9,1,1,65,67,67,67,67,69,
303,303,21,303,21,303,21,70,3,10,1,70,305,21,305,21,306,306,11,10,70,10,70,70,
10,10,70,1,10,70,3,10,10,70,1,10,1,10,1,7,70,319,23,319,320,320,23,320,23,320,
320,23,320,41,41,47,74,1,1,7,10,7,13,5,83,13,83,5,13,13,13,13,13,83,83,13,83,
83,83,1,13,83,13,13,83,1,13,83,13,13,353,353,41,354,354,355,355,41,55,356,356,
358,358,49,359,359,55,359,55,359,55,59,249,249,249,252,253,1,1,90,90,9,1,60,
364,60,10,60,365,11,60,366,3,3,3,26,26,3,26,3,3,3,3,3,5,26,1,3,5,26,3,3,30,30,
26,26,3,26,26,3,30,30,30,30,5,26,6,26,5,26,6,1,3,1,5,6,5,6,3,26,3,3,3,3,30,30,
50,50,30,30,30,30,5,26,3,5,26,6,5,26,3,5,26,5,5,5,5,26,26,26,5,26,26,26,5,6,3,
3,3,3,3,30,30,30,1,26,3,26,3,26,1,1,3,3,1,1,3,3,1,26,30,30,30,30,34,55,55,26,
26,3,26,26,30,30,30,5,26,6,26,6,26,5,3,3,1,5,6,6,5,26,30,30,30,57,57,58,58,1,
26,3,3,26,3,3,26,3,1,26,3,7,7,7,7,30,30,7,30,30,30,7,30,30,7,30,26,1,26,3,26,
1,26,3,7,7,3,7,3,7,30,30,55,55,5,5,6,6,7,6,6,8,8,57,57,58,58,1,5,1,7,26,1,6,3,
5,26,3,6,1,26,7,8,7,7,8,7,7,3,6,3,6,26,7,7,7,7,7,7,7,7,7,7,30,30,34,55,55,55,
55,7,30,7,30,30,7,30,30,50,50,7,30,7,30,7,7,55,55,55,55,45,45,57,58,57,58,50,
50,57,57,58,58,1,1,7,5,7,7,7,7,7,7,7,8,7,57,58,58,57,55,55,57,58,57,58,7,7,7,
7,7,50,50,7,9,1,9,255,255,13,13,255,9,255,255,255,254,254,9,254,10,1,254,9,10,
9,255,255,256,255,255,255,255,255,255,255,255,13,255,255,255,1,255,9,13,255,
13,9,255,13,1,255,255,255,255,41,41,21,21,47,21,21,21,21,23,10,257,257,257,
257,13,257,55,258,41,41,5,60,261,60,60,60,60,60,60,60,60,261,261,712,90,90,1,
3,67,67,320,23,320,23,320,23,320,5,6,9,67,65,69,67,67,21,65,65,65,65,303,21,
303,303,21,303,23,320,320,320,320,5,83,83,13,83,83,83,65,65,9,9,65,65,9,9,67,
67,67,67,1,65,9,5,67,69,67,69,3,69,67,6,9,65,9,65,303,303,303,303,303,303,21,
303,303,21,21,303,21,303,303,303,21,303,303,21,21,303,303,21,21,70,70,3,70,10,
1,70,3,10,305,21,305,41,441,21,41,441,306,306,451,451,47,458,10,70,70,70,10,
70,70,70,70,70,10,7,74,74,7,74,7,7,7,74,319,320,320,320,320,320,320,23,320,
320,23,23,320,320,23,320,320,23,320,320,320,41,480,41,353,353,353,353,41,353,
41,353,354,354,356,356,326,326,83,83,83,83,13,13,83,83,353,353,41,41,355,55,
622,359,359,55,359,55,359,249,641,358,359,359,359,359,359,359,893,894,895,896,
897,254,9,10,255,257,898,13,362,236,9,364,364,1,9,60,364,60,364,364,364,60,60,
365,365,60,366,41,41,1549,1550,90,26,3,26,30,30,26,26,3,3,26,26,30,30,5,26,26,
26,30,50,30,138,138,138,138,26,26,30,30,162,162,30,5,26,5,26,6,26,26,26,26,
162,26,162,34,162,50,162,175,175,175,175,175,26,26,26,26,3,3,30,30,30,30,181,
181,181,1,26,3,5,3,26,26,3,30,34,30,34,34,30,6,55,55,181,181,181,181,26,26,30,
162,162,184,184,184,184,185,26,26,5,26,26,26,162,162,50,162,162,57,58,185,185,
185,185,184,7,45,30,162,30,30,50,7,30,30,30,7,30,30,30,50,181,181,181,181,183,
45,7,162,30,50,30,162,55,55,181,181,181,181,45,162,50,57,58,7,7,7,45,55,55,57,
58,7,30,7,50,57,58,55,55,181,181,181,181,183,220,220,220,220,229,229,229,229,
9,255,255,5,65,255,681,13,83,255,255,255,255,255,255,679,255,679,679,679,65,
681,255,65,681,682,294,254,254,254,67,675,70,675,284,9,284,9,255,255,255,679,
679,679,255,679,255,679,255,255,255,255,255,255,255,255,255,255,679,679,83,
681,255,681,83,682,681,13,681,255,681,681,13,255,1273,353,41,1273,354,1274,21,
1275,303,1275,305,356,1278,303,304,21,1278,307,306,311,320,1282,23,311,1282,
320,257,359,55,359,249,339,353,1292,353,1292,41,339,355,1293,339,261,60,261,
261,261,60,60,41,899,90,90,90,254,60,1310,26,67,288,126,320,320,320,136,827,
23,320,136,827,320,320,65,288,288,288,21,126,303,785,303,785,303,303,124,783,
303,124,783,128,136,136,320,320,827,827,83,65,65,288,288,67,288,67,288,783,
783,303,783,303,303,303,303,303,303,303,303,303,785,785,785,21,783,303,783,
303,783,21,21,303,303,21,21,303,303,21,783,785,785,785,785,787,70,70,70,30,
315,315,55,305,154,834,353,41,834,1418,441,1418,306,354,451,1424,1424,451,
1424,451,1424,451,356,315,315,315,326,7,315,30,315,55,326,320,320,320,320,320,
827,827,320,827,827,23,827,320,320,827,320,320,827,320,23,827,320,353,834,41,
353,834,154,1470,480,1470,1076,1076,1083,834,353,353,834,41,353,834,353,834,
353,353,41,353,41,213,834,873,41,41,213,353,213,359,55,359,622,1195,1195,249,
359,359,359,359,895,895,641,1214,1218,1221,254,898,898,255,898,257,255,898,
255,898,898,21,41,236,65,364,903,364,364,60,903,364,903,364,364,60,60,365,706,
706,353,1547,354,1548,1549,1549,1549,1549,1549,1550,1550,1550,1550,1550,712,
26,30,162,494,494,26,26,162,162,577,577,162,162,138,138,175,175,494,494,162,
162,162,162,577,577,30,162,30,162,181,181,181,181,55,181,162,162,184,184,185,
185,220,229,7,162,30,162,181,183,181,183,184,185,184,185,138,175,138,175,55,
181,220,229,65,255,681,679,679,681,83,681,255,255,681,681,681,679,679,679,681,
682,679,681,682,681,681,294,1275,1275,675,1273,284,1273,255,1274,255,679,679,
679,679,255,679,679,255,681,682,682,681,255,681,679,682,255,682,679,681,681,
681,1273,353,41,1273,284,353,21,441,294,1275,303,1275,303,1278,1278,303,1278,
304,21,1278,303,304,441,441,451,451,458,451,451,441,441,1282,311,1282,320,
1282,1282,1282,480,359,1838,1292,1292,339,353,1292,1292,1292,1293,622,261,236,
1856,362,1529,1529,1529,2279,2280,1310,364,365,41,1549,1549,1549,1550,288,126,
785,785,827,320,827,136,827,827,827,1076,124,128,303,785,783,787,785,785,783,
783,783,783,827,827,827,827,783,783,303,303,783,783,303,303,785,785,785,785,
21,783,303,124,303,783,303,783,785,787,785,787,126,787,785,128,315,181,817,
834,154,834,834,353,41,834,154,353,1418,441,1418,451,1617,1424,1424,451,1424,
451,1424,1424,1424,1424,1424,1424,1424,808,808,819,819,320,320,827,827,353,
834,834,834,213,873,1470,1076,2017,2018,2018,2018,2019,834,353,873,213,834,
834,834,834,353,873,213,213,213,873,1497,1497,359,2046,2047,1507,2057,2058,
898,1524,1524,1239,679,1524,898,898,1275,1278,284,1259,1273,1292,353,2071,339,
236,903,364,903,364,261,364,903,1547,1547,706,1548,1549,1549,1549,1549,1549,
1549,1549,1549,1549,1550,1550,1550,1550,1550,1550,1550,1550,1550,899,162,494,
577,484,484,1070,1070,181,553,494,577,557,557,1070,1070,681,679,1249,681,681,
1249,1249,1249,1249,1249,1249,767,1275,1814,1273,760,1810,679,1249,679,1249,
1273,1273,834,1810,1275,783,1418,1275,1814,1396,1278,1278,1278,785,1823,791,
1823,1386,2244,1417,441,2244,1420,451,2246,2246,1424,1424,1415,1426,1424,451,
1424,1424,1419,1282,1076,1455,1469,2260,480,1469,2260,1455,1292,1499,622,1499,
1195,1529,2279,2279,2280,1310,1273,706,2284,2285,1549,2285,1549,2285,2286,
2286,1549,2287,2288,2288,1550,2570,445,785,1390,827,1076,2018,2018,783,1390,
1390,1390,783,783,1390,1390,785,1390,785,1390,1439,834,528,1476,834,834,1476,
622,1418,1424,451,1424,1617,1424,1424,1424,1424,1476,1476,213,1476,528,1476,
2147,1076,1076,2018,2018,2018,2018,1476,622,1497,1497,1524,2070,1273,1259,
2071,1259,2071,2071,2071,1259,2071,1292,2071,441,451,903,1547,1549,2096,2096,
2096,2096,1549,1549,2099,1550,2099,2099,1550,2099,1550,1529,1856,2279,2280,
1070,1549,1249,1814,1810,1396,2246,2246,1823,2244,1386,2244,2244,1417,441,
2244,1386,1417,451,1617,1396,2246,2246,1424,1424,2246,2246,2246,2246,2246,
2246,2246,1424,1617,1617,1980,2018,2537,2260,1455,2260,1469,2260,2260,2260,
1499,2549,1191,2434,1529,2434,2279,2279,2279,2280,2284,1533,1547,2285,2285,
2285,1549,2285,1549,2285,1549,2285,2286,2451,2451,2288,2458,2570,2570,2570,
2570,2570,1390,1673,2018,2389,1476,1116,2031,1424,2010,2010,2033,2033,2613,
2018,2389,2018,2389,2071,1782,2428,2428,2071,2428,2071,2224,2228,2244,2240,
2246,1424,2096,2099,2657,2660,2286,2285,2570,1935,2246,2524,2525,2525,2526,
2526,2244,1928,2521,2244,2244,1960,2521,2246,1424,2358,2246,2246,2246,2246,
2246,2246,2360,1617,2360,2360,2537,2260,2147,2552,2804,2284,2285,2561,2561,
2096,2561,2285,2285,2451,2727,2727,2728,2730,2730,2458,2570,2570,2570,2570,
2570,2570,2570,2570,2570,2389,2386,2428,2637,2638,2246,2638,1617,2434,2711,
2713,2660,2451,2772,2772,2570,2524,2525,2526,2521,2246,2524,2525,2526,2360,
2609,2614,2802,2857,2804,2561,2727,2730,2570,2734,2734,2734,2734,2570,2570,
2764,2673,2677,2360,2838,2804,2722,2841,2727,2772,2825,2680,2802,2857,2857,
2804,2734,2836,2677,2836,2857,2841,2825,2879,2879,2857,2857,2857,2871,2889,
2884,2879,2883,2902,2895,2902,2902,2903,2902,2902,2902,2902,2907,2905,2909,
2913],
[( 2, 5, 7,12)( 3, 6),( 1, 4, 2, 5)( 6,10, 9)( 7, 8,11,12)],
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1],[8,1,5,1,8,2,5,-2]],[[1,-2],[1,1,2,1],[4,1,2,1,3,1,4,-1,2,1,1,1,2,-1,3,1,4,
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1,3,1]]],[[[1,-2],[1,1,2,1,3,1,2,-1,3,1,2,1,1,-1,2,1]],[[2,1,1,-2,2,2,1,
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3,1,4,-1,3,1]]],[[[2,2,1,-1,2,1],[3,2],[1,-1,4,2]]],[[[1,1,2,1],[2,1,1,-1,3,
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1],[3,2],[4,1,1,-1],[4,1,5,1,4,1,5,1]]],[[[1,-2],[3,1,1,1,2,-1,3,1,2,1,1,
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1,5,3,3,1]]],[[[1,-2],[3,1,2,1,3,1,2,1,1,1,2,1]],[[1,1,2,-4,1,-1]]],[[[2,
2]]],[[[2,2,1,-1,2,1],[1,-1],[3,2],[5,1,4,-1,5,2,3,1,4,-1]],[[2,2,1,-1,2,1],[
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3,2]],[[1,1,2,1],[2,1,1,-1,2,-1,1,-2,3,-2,2,-1]]],[[[2,1,1,-1,2,-1,1,-2]]],[[[
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2]]],[[[1,-2],[3,1,2,1,1,1,2,1,3,1,2,1]],[[1,1,2,1],[1,-2,2,-2,3,-2]]],[[[2,1,
1,-2]]],[[[2,2],[3,1,1,-2,3,-1]],[[2,1,1,-2,2,-1]]],[[[1,1,2,1],[2,1,1,-2],[3,
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-1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,-1,2,1,4,-1,3,
1]],[[2,1,1,1],[3,1,1,1,2,1,1,-2,3,1]]],[[[1,1,2,3,1,1]]],[[[1,-2],[2,2,3,1,2,
1,3,1]],[[1,-2,2,1,1,-2,2,-1]]],[[[1,-2,2,1,1,-1,2,-1,1,1,2,1]]],[[[1,1,2,1],[
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1,-1,2,1],[3,2],[1,1,4,2]]],[[[2,2,1,-1,2,1],[1,-1],[3,2],[5,1,3,1,4,-1,5,1,4,
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2],[5,2,4,-2,5,-2]]],[[[2,2,1,-1,2,1],[1,-1],[3,2],[5,1,3,1,4,-1,5,1,4,-1,5,
1]],[[2,2,1,-1,2,1],[1,-1],[3,1,4,-2],[3,2,5,2]]],[[[1,-2],[1,1,2,1],[4,1,2,1,
3,1,4,-1,2,1,1,1,2,-1,3,1,4,-1],[1,-2],[1,1,2,1],[2,1,7,1,6,1,7,-1,2,-1,1,1,2,
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4,-1],[1,-2],[1,1,2,1],[2,1,7,1,6,1,7,-1,2,-1,1,1,2,-1,6,1],[5,1,8,1,5,1,8,
1]],[[1,-2],[1,1,2,1],[4,1,2,1,3,1,4,-1,2,1,1,1,2,-1,3,1,4,-1],[1,-2],[1,1,2,
1],[2,1,7,1,6,1,7,-1,2,-1,1,1,2,-1,6,1],[8,2,5,-2,8,1]]],[[[1,1,2,1],[2,2,1,1,
3,2,1,-2,2,-1],[1,1,2,1],[2,1,1,-1,2,-1,5,2,2,2,1,-1],[4,1,6,1]],[[1,-2],[3,1,
2,1,3,1,2,-1,3,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,-1,2,2,1,-1],[4,1,6,1]]],[[[1,
-2],[2,-1,1,1,2,1],[1,1,2,1,1,-1,2,-2],[4,-2],[6,1,5,2,6,1,5,1,4,-1,5,1]],[[1,
-2],[2,-1,1,1,2,1],[1,1,2,1,1,-1,2,-2],[5,1,4,-1,5,1,4,1]],[[1,-2],[2,-1,1,1,
2,1],[1,1,2,1,1,-1,2,-2],[5,1,4,1],[5,1,6,1,4,-2,6,1,5,-1]]],[[[1,1,2,1],[2,1,
1,1],[3,1,2,1,4,1,3,-1,2,1,4,-1]],[[1,1,2,1],[3,1,1,-2,2,-1,3,1,2,2,1,1]]],[[[
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-1],[4,1],[6,1],[7,1,8,1,7,1,8,1]],[[1,-2],[3,1,2,1,3,1,2,-1,3,1]],[[1,1,2,
1],[2,2,1,1,3,2,1,-2,2,-1],[1,-2],[1,1,2,1,5,1,2,-1,5,1,2,1,1,-1,2,1],[6,1,4,
1,6,1]]],[[[1,-2],[3,1,2,-1,1,-1,2,-1,3,1,2,1],[2,1,1,1,2,-1,1,1,2,2],[4,-2,5,
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2],[4,1,5,1],[4,1,6,-1,5,1,6,1]],[[1,-2],[3,1,2,-1,1,-1,2,-1,3,1,2,1],[2,1,1,
1,2,-1,1,1,2,2],[5,1,4,1,5,1,4,1]],[[1,-2],[3,1,2,-1,1,-1,2,-1,3,1,2,1],[2,1,
1,1,2,-1,1,1,2,2],[4,1,5,2,4,1,5,-1]]],[[[1,-2],[1,1,2,1],[2,1,4,1],[3,1,5,1,
4,2,3,1,5,-1]],[[1,1,2,1,1,-1,2,-2,1,-2,2,1,1,-1]],[[1,1,2,1],[3,1,1,-2,3,
-1]]],[[[2,2,1,-1,2,1],[1,-1],[3,2],[5,1,4,1,5,1,4,1,3,1,5,1]],[[2,2,1,-1,2,
1],[1,-1],[4,-2,3,1,4,-2,3,-2]],[[2,2,1,-1,2,1],[1,-1],[3,2],[5,1,3,1,4,-1,5,
1,4,-1,5,1]]],[[[1,-2],[1,1,2,1],[1,1,2,-1,3,1,4,-2,3,1]],[[2,1,1,-1,2,-1,1,1,
2,1,1,1,2,-1]]],[[[1,-2],[1,1,2,1,3,1,2,-1,3,1,2,1,1,-1,2,1],[1,1,2,1],[2,1,1,
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1,-2,2,-1]],[[1,1,2,1],[2,2,1,1,3,2,1,-2,2,-1],[1,-2],[1,1,2,1,5,1,2,-1,5,1,2,
1,1,-1,2,1],[4,1,6,1,4,1,6,1]]],[[[1,-2],[3,1,2,2,1,1,2,-1,1,-1,3,1],[1,1,2,
1],[1,1,5,-2,2,-1],[4,1,6,-2,4,-1,6,2]],[[1,-2],[3,1,2,2,1,1,2,-1,1,-1,3,1],[
1,1,2,1],[1,1,5,-2,2,-1],[6,1,4,1]],[[1,-2],[3,1,2,2,1,1,2,-1,1,-1,3,1],[1,1,
2,1],[1,1,5,-2,2,-1],[6,2,4,-1,6,1,4,-1,6,1]]],[[[1,-2],[1,1,2,1],[4,1,3,1,2,
-1,4,1,1,-1,2,-1,3,1]],[[1,1,2,1],[2,2,1,-1,3,1,1,-2,3,-2]]],[[[1,-2],[1,1,2,
1],[3,1,2,1,3,1,4,-1,2,2,1,1,4,1]],[[2,1,1,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[3,
1,4,-1,1,-2,4,1,3,-1]]],[[[1,-2],[1,1,2,1],[2,1,1,-1,2,-1,3,1,4,1,3,1,4,
-1]],[[1,-2,2,2,1,-2,2,1]],[[1,1,2,1],[3,1,1,-1,2,-2,1,-2,3,-2]]],[[[1,1,2,
1],[2,2,1,1,3,2,1,-2,2,-1],[1,-2],[1,1,2,1,5,1,2,-1,5,1,2,1,1,-1,2,1],[6,1,4,
1,6,1]],[[1,1,2,1],[2,1,1,-1,2,-1,3,2,2,2,1,-1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
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1],[2,1,1,-1,2,-1,5,2,2,2,1,-1],[4,1],[6,1],[7,1,8,1,7,1,8,1]],[[1,1,2,1],[2,
2,1,1,3,2,1,-2,2,-1],[1,-2],[5,1,2,1,5,1,2,-1,5,1],[4,1,6,1]],[[1,1,2,1],[2,2,
1,1,3,2,1,-2,2,-1],[1,-2],[1,1,2,1,5,1,2,-1,5,1,2,1,1,-1,2,1],[6,1,4,1,6,
1]]],[[[1,-2],[1,1,2,1],[2,1,1,-1,2,-1,4,2,3,1,2,1,3,1]],[[2,1,1,-1,2,-1],[3,
1,1,-2,3,-1]],[[1,1,2,1],[3,2,2,2,1,-1,2,1,1,-1,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[1,-2,2,1,4,1,3,2,2,1,4,-1]],[[1,1,2,1],[3,2,1,-2,2,1,1,1]],[[2,1,1,1],[1,
1,2,-2,1,-2,2,-1,1,-1,3,2]]],[[[1,-2],[1,1,2,1],[4,1,2,1,3,1,2,1,1,-1,2,1,3,1,
4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,1,3,-1,2,1,4,-1]]],[[[1,-2],[1,1,2,1],[
4,1,2,1,3,1,4,-1,2,1,1,1,2,-1,3,1,4,-1],[1,-2],[1,1,2,1],[2,1,7,1,6,1,7,-1,2,
-1,1,1,2,-1,6,1],[8,2,5,-2,8,1]],[[1,-2],[1,1,2,1],[4,1,2,1,3,1,4,-1,2,1,1,1,
2,-1,3,1,4,-1],[1,-2],[1,1,2,1],[2,1,7,1,6,1,7,-1,2,-1,1,1,2,-1,6,1],[8,1,5,1,
8,1,5,1]],[[1,-2],[1,1,2,1],[4,1,2,1,3,1,4,-1,2,1,1,1,2,-1,3,1,4,-1],[1,-2],[
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1,2,1],[4,1,2,1,3,1,4,-1,2,1,1,1,2,-1,3,1,4,-1],[1,-2],[1,1,2,1],[2,1,7,1,6,1,
7,-1,2,-1,1,1,2,-1,6,1],[8,2,5,-2,8,1]],[[1,-2],[1,1,2,1],[4,1,2,1,3,1,4,-1,2,
1,1,1,2,-1,3,1,4,-1],[1,-2],[1,1,2,1],[2,1,7,1,6,1,7,-1,2,-1,1,1,2,-1,6,1],[5,
1,8,1]]],[[[1,-2],[1,1,2,1,3,1,2,-1,3,1,2,1,1,-1,2,1],[1,1,2,1],[2,1,1,-1,2,
-1,5,2,2,2,1,-1],[6,1],[7,1,4,1,7,1]],[[1,1,2,1],[2,2,1,1,3,2,1,-2,2,-1],[1,
-2],[1,1,2,1,5,1,2,-1,5,1,2,1,1,-1,2,1],[6,1,4,1]]],[[[1,1,2,1],[2,1,1,-1,2,
-1,3,2,2,2,1,-1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,-1,2,2,1,-1],[4,1],[7,1,6,1,7,
1]],[[1,1,2,1],[2,2,1,1,3,2,1,-2,2,-1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,-1,2,2,1,
-1],[4,1,6,1]],[[1,1,2,1],[2,2,1,1,3,2,1,-2,2,-1],[1,-2],[1,1,2,1,5,1,2,-1,5,
1,2,1,1,-1,2,1],[4,1,6,1,4,1,6,1]]],[[[1,-2],[3,1,2,-1,1,-1,2,-1,3,1,2,1],[2,
1,1,1,2,-1,1,1,2,2],[4,1,5,1],[5,1,4,1,6,-2]],[[1,-2],[3,1,2,-1,1,-1,2,-1,3,1,
2,1],[2,1,1,1,2,-1,1,1,2,2],[4,1,5,2,4,-1,5,-1]]],[[[1,1,2,1],[2,2,1,1,3,2,1,
-2,2,-1],[1,1,2,1],[2,1,1,-1,2,-1,5,2,2,2,1,-1],[4,1,6,1]],[[1,-2],[1,1,2,1,3,
1,2,-1,3,1,2,1,1,-1,2,1]]],[[[1,-2],[3,1,2,-1,1,-1,2,-1,3,1,2,1],[2,1,1,1,2,
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1,1,1,2,-1,1,1,2,2],[5,1,4,-1,5,1,4,-1]],[[1,-2],[3,1,2,-1,1,-1,2,-1,3,1,2,
1],[2,1,1,1,2,-1,1,1,2,2],[5,2,4,-2,5,1]]],[[[1,1,2,1],[2,2,1,1,3,2,1,-2,2,
-1],[1,1,2,1],[2,1,1,-1,2,-1,5,2,2,2,1,-1],[4,1,6,1]],[[1,-2],[1,1,2,1,3,1,2,
-1,3,1,2,1,1,-1,2,1],[1,-2],[5,1,2,1,5,1,2,-1,5,1],[4,1,6,1]]],[[[1,-2],[1,1,
2,1],[3,1,2,1,1,-1,2,-1,4,1,3,1,2,2,1,-1,4,1]],[[1,-2,2,2,1,-2,2,1]],[[1,-2],[
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1,1]],[[2,1,1,-1,2,-1],[3,1,1,-2,3,-1]]],[[[1,-2],[1,1,2,1],[3,1,2,-1,3,1,4,
-1,2,2,3,1,4,1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,
3,1],[3,1,4,1,1,-2,4,-1,3,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,1,1,2,-2,3,
1]],[[1,1,2,1],[3,1,1,-2,3,-1]]],[[[1,1,2,1],[2,1,1,-1,2,-1,1,-2],[4,1,3,1,4,
1,3,1]],[[1,1,2,1],[3,1,2,2,1,1,3,1,1,-2,3,-1]],[[1,1,2,1],[2,1,1,-1,2,-1],[3,
1,4,-1,1,-2,4,1,3,-1]]],[[[1,-2],[2,1,1,1],[1,1,2,1,4,-1,3,1,2,1,4,-1,3,1]],[[
2,1,1,1,2,1],[3,1,1,-2,3,-1]]],[[[1,1,2,1],[2,1,1,-1,2,-1,1,-2],[4,1,3,1,4,1,
3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,-1,
2,-1],[3,1,4,-1,1,-2,4,1,3,-1]]],[[[1,-2],[1,1,2,1],[2,1,1,-1,2,-1,3,1,4,1,3,
1,4,-1]],[[1,-2]]],[[[1,-2],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,1,2,-1,1,-1]],[[1,1,
2,1],[2,1,1,-1,2,-1,3,2,2,2,1,-1]]],[[[1,-2],[1,1,2,1],[2,2,4,1,3,1,2,-1,3,1,
4,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[2,2],[3,1,1,-2,3,-1]]],[[[1,-2],[
2,-1,1,1,2,1]],[[2,1,1,-2,2,-1]]],[[[1,-2],[3,1,2,1,3,1,2,2]],[[2,1,1,-1,2,
-1]]],[[[1,1,2,1],[2,1,1,-1,2,-1,1,-2,3,-2,2,-1]],[[1,1,2,1],[1,-2,2,2,3,2,2,
1]]],[[[1,-2],[3,1,2,1,3,1,2,-1,1,-1,2,-1,1,1,2,-1]],[[2,1,1,1],[3,1,2,-1,1,1,
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4,1,3,1,4,1]],[[1,-2],[1,1,2,-1,3,1,2,-2,1,-1,3,1]]],[[[1,-2],[1,1,2,1,3,1,2,
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2,1,1,1,2,-1,3,1,4,-1],[1,-2],[1,1,2,1],[2,1,7,1,6,1,7,-1,2,-1,1,1,2,-1,6,1],[
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1]]],[[[1,-2,2,1,1,-1,2,2,1,-1]],[[1,-1,2,1,1,-1,2,-1,1,-2]]],[[[1,1,2,1],[3,
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1,2,1]]],[[[2,2,1,-1,2,1],[1,-1],[3,2],[5,1,3,1,4,-1,5,1,4,-1,5,1]],[[2,2,1,
-1,2,1],[1,-1],[4,1,3,1,4,1,3,1,4,1,3,2]],[[2,2,1,-1,2,1],[1,-1],[3,2],[5,2,4,
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1,1,-1,2,1],[4,1,6,1,4,1,6,1]],[[1,-2],[3,1,2,1,3,1,2,-1,3,1],[1,1,2,1],[5,1,
2,1,1,1,2,-1,5,-1,2,2,1,-1],[4,1,6,1]],[[1,1,2,1],[2,2,1,1,3,2,1,-2,2,-1],[1,
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2,-1]],[[1,1,2,1],[3,2,1,-2,3,-2]],[[1,1,2,1],[2,1,1,-1,2,-1,3,2,2,2,1,
-1]]],[[[1,-2],[1,1,2,1],[4,1,1,1,2,-1,3,1,2,-1,4,-1,3,1,4,-1]],[[2,1,1,1,2,
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-1],[3,1,1,-2,3,-1]]],[[[1,-2],[1,1,2,1,3,1,2,-1,3,1,2,1,1,-1,2,1],[1,1,2,1],[
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2,1,1,3,2,1,-2,2,-1],[1,-2],[1,1,2,1,5,1,2,-1,5,1,2,1,1,-1,2,1],[4,1,6,1,4,1,
6,1]],[[1,1,2,1],[2,2,1,1,3,2,1,-2,2,-1],[1,-2],[5,1,2,1,5,1,2,-1,5,1],[4,1,6,
1]]],[[[1,-2],[1,1,2,1],[1,1,2,-1,3,1,4,-2,3,1]],[[2,1,1,-1,2,-1],[3,1,1,-2,3,
-1]],[[1,-2],[3,1,2,1,1,-1,2,1,1,1,2,1,3,1,2,-1]]],[[[1,-2],[1,1,2,1,3,1,2,-1,
3,1,2,1,1,-1,2,1],[1,1,2,1],[2,1,1,-1,2,-1,5,2,2,2,1,-1],[4,1],[6,1],[7,1,8,1,
7,1,8,1]],[[1,-2],[3,1,2,1,3,1,2,-1,3,1]],[[1,1,2,1],[2,2,1,1,3,2,1,-2,2,-1],[
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3,2,1,-2,2,-1],[1,1,2,1],[2,1,1,-1,2,-1,5,2,2,2,1,-1],[4,1,6,1]]],[[[2,1,1,1,
2,1],[3,1,1,-2,3,-1],[1,-2],[5,1,1,1,2,1,5,1,2,-1],[6,1,4,1],[4,1,6,1,7,-2,6,
-1]],[[2,1,1,1,2,1],[3,1,1,-2,3,-1],[1,-2],[5,1,1,1,2,1,5,1,2,-1],[4,1,6,-3,4,
1]],[[2,1,1,1,2,1],[3,1,1,-2,3,-1],[1,-2],[5,1,1,1,2,1,5,1,2,-1],[4,1,6,-1,4,
1,6,-2,4,1,6,-1]]],[[[1,-2],[1,1,2,1,3,1,2,-1,3,1,2,1,1,-1,2,1],[1,1,2,1],[2,
1,1,-1,2,-1,5,2,2,2,1,-1],[4,1],[7,1,6,1,7,1]],[[1,-2],[3,1,2,1,3,1,2,-1,3,
1]],[[1,1,2,1],[2,2,1,1,3,2,1,-2,2,-1],[1,-2],[1,1,2,1,5,1,2,-1,5,1,2,1,1,-1,
2,1],[6,1,4,1,6,1]],[[1,1,2,1],[2,2,1,1,3,2,1,-2,2,-1],[1,1,2,1],[2,1,1,-1,2,
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-1]],[[2,1,1,-1,2,-1],[3,1,1,-2,3,-1]],[[1,1,2,1],[3,1,2,1,3,2,2,1,1,1]]],[[[
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1]],[[1,-2],[2,-1,1,1,2,1],[1,1,2,1,1,-1,2,-2],[4,-2],[5,1,4,-1,5,1,6,1,5,2,6,
1]],[[1,-2],[2,-1,1,1,2,1],[1,1,2,1,1,-1,2,-2],[4,-2],[6,1,5,1,4,1,5,-1,6,1,5,
1,4,-1,5,1]]],[[[1,1,2,1],[2,2,1,1,3,2,1,-2,2,-1],[1,1,2,1],[2,1,1,-1,2,-1,5,
2,2,2,1,-1],[4,1,6,1]],[[1,-2],[3,1,2,1,3,1,2,-1,3,1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,-1,2,2,1,-1],[4,1,6,1]],[[1,1,2,1],[2,1,1,-1,2,-1,3,2,2,2,1,-1],[1,
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1,2,1],[2,1,1,-1,2,-1,5,2,2,2,1,-1],[4,1,6,1]],[[1,1,2,1],[2,1,1,-1,2,-1,3,2,
2,2,1,-1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,-1,2,2,1,-1],[4,1,6,1]],[[1,-2],[3,1,
2,1,3,1,2,-1,3,1]]],[[[2,1,1,1],[1,1,2,1,1,-2,2,1,3,2,2,1,1,-1]],[[1,1,2,1],[
2,1,3,1],[2,1,1,1,4,-1,3,1,4,1,1,-2]],[[1,-2],[1,1,2,1],[1,1,2,-1,3,1,4,-2,3,
1]]],[[[1,1,2,1],[1,-2,3,-1,2,-1,3,1,2,-1],[2,1,1,-1,2,-1],[5,-2,4,1,5,1,4,1,
5,1,4,2]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,1,2,-1],[2,1,1,-1,2,-1],[4,2,5,-2,4,1,
5,1]],[[1,1,2,1],[1,-2,3,-1,2,-1,3,1,2,-1],[2,1,1,-1,2,-1],[5,1,4,-1,5,1,4,-1,
5,-1,4,-2]]],[[[1,-2],[1,1,2,1],[4,1,2,1,3,1,4,-1,2,1,1,1,2,-1,3,1,4,-1],[1,
-2],[1,1,2,1],[2,1,7,1,6,1,7,-1,2,-1,1,1,2,-1,6,1],[8,2,5,-2,8,1]],[[1,-2],[1,
1,2,1],[4,1,2,1,3,1,4,-1,2,1,1,1,2,-1,3,1,4,-1],[1,-2],[1,1,2,1],[2,1,7,1,6,1,
7,-1,2,-1,1,1,2,-1,6,1],[5,1,8,1]],[[1,-2],[1,1,2,1],[4,1,2,1,3,1,4,-1,2,1,1,
1,2,-1,3,1,4,-1],[1,-2],[1,1,2,1],[2,1,7,1,6,1,7,-1,2,-1,1,1,2,-1,6,1],[8,1,5,
1,8,1,5,1]]],[[[1,1,2,1],[2,2,1,1,3,2,1,-2,2,-1],[1,-2],[1,1,2,1,5,1,2,-1,5,1,
2,1,1,-1,2,1],[4,1,6,1,4,1]],[[1,1,2,1],[2,2,1,1,3,2,1,-2,2,-1],[1,1,2,1],[2,
1,1,-1,2,-1,5,2,2,2,1,-1],[4,1,6,1]],[[1,-2],[1,1,2,1,3,1,2,-1,3,1,2,1,1,-1,2,
1]]],[[[1,-2],[1,1,2,1,3,1,2,-1,3,1,2,1,1,-1,2,1],[1,1,2,1],[2,1,1,-1,2,-1,5,
2,2,2,1,-1],[4,1],[7,1,6,1,7,1]],[[1,-2],[1,1,2,1,3,1,2,-1,3,1,2,1,1,-1,2,1],[
1,1,2,1],[5,1,2,1,1,1,2,-1,5,-1,2,2,1,-1],[4,1,6,1]],[[1,1,2,1],[2,2,1,1,3,2,
1,-2,2,-1],[1,1,2,1],[2,1,1,-1,2,-1,5,2,2,2,1,-1],[4,1,6,1]],[[1,1,2,1],[2,2,
1,1,3,2,1,-2,2,-1],[1,-2],[1,1,2,1,5,1,2,-1,5,1,2,1,1,-1,2,1],[4,1,6,1,4,1,6,
1]]],[[[1,-2],[1,1,2,1],[4,1,3,1,2,-1,4,1,2,-1,4,-1,3,1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,4,1,3,-1,2,1,4,-1]]],[[[1,-2],[1,1,2,1,3,1,2,-1,3,1,2,1,1,-1,2,
1],[1,1,2,1],[2,1,1,-1,2,-1,5,2,2,2,1,-1],[4,1],[7,1,6,1,7,1]],[[1,1,2,1],[2,
2,1,1,3,2,1,-2,2,-1]],[[1,1,2,1],[2,2,1,1,3,2,1,-2,2,-1],[1,-2],[1,1,2,1,5,1,
2,-1,5,1,2,1,1,-1,2,1],[4,1,6,1,4,1,6,1]],[[1,1,2,1],[2,1,1,-1,2,-1,3,2,2,2,1,
-1],[1,-2],[5,1,2,1,5,1,2,-1,5,1],[4,1,6,1]]],[[[1,1,2,1],[2,2,1,1,3,2,1,-2,2,
-1],[1,-2],[1,1,2,1,5,1,2,-1,5,1,2,1,1,-1,2,1],[4,1,6,1,4,1,6,1]],[[1,1,2,1],[
3,1,2,1,1,1,2,-1,3,-1,2,2,1,-1]],[[1,1,2,1],[2,2,1,1,3,2,1,-2,2,-1],[1,1,2,
1],[2,1,1,-1,2,-1,5,2,2,2,1,-1],[4,1,6,1]]],[[[1,-2],[3,1,2,-1,1,-1,2,-1,3,1,
2,1],[2,1,1,1,2,-1,1,1,2,2],[4,1,5,-3,4,1]],[[1,-2],[3,1,2,-1,1,-1,2,-1,3,1,2,
1],[2,1,1,1,2,-1,1,1,2,2],[4,-2],[5,-1,4,1,5,1]],[[1,-2],[3,1,2,-1,1,-1,2,-1,
3,1,2,1],[2,1,1,1,2,-1,1,1,2,2],[5,1,4,1,5,1,4,1]]],[[[1,1,2,1],[2,2,1,1,3,2,
1,-2,2,-1],[1,-2],[1,1,2,1,5,1,2,-1,5,1,2,1,1,-1,2,1],[4,1,6,1,4,1,6,1]],[[1,
-2],[1,1,2,1,3,1,2,-1,3,1,2,1,1,-1,2,1],[1,-2],[5,1,2,1,5,1,2,-1,5,1],[4,1,6,
1]],[[1,1,2,1],[2,2,1,1,3,2,1,-2,2,-1],[1,1,2,1],[2,1,1,-1,2,-1,5,2,2,2,1,
-1],[4,1,6,1]]],[[[1,-2],[1,1,2,1],[1,1,2,-1,3,1,4,-2,3,1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,-1,2,1,4,1,3,1]],[[2,1,1,-1,2,-1],[3,1,1,-2,3,-1]]],[[[1,-2],[
1,1,2,1],[3,1,2,-2,4,2,3,1,2,1,1,-1,2,-1]],[[1,1,2,1],[3,2,2,1,1,-2,2,1,1,1,3,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,1,2,1,4,-1,1,-2,3,1]]],[[[1,-2],[1,1,2,1,
3,1,2,-1,3,1,2,1,1,-1,2,1],[1,1,2,1],[2,1,1,-1,2,-1,5,2,2,2,1,-1],[4,1],[7,1,
6,1,7,1]],[[1,1,2,1],[2,1,1,-1,2,-1,3,2,2,2,1,-1],[1,-2],[5,1,2,1,5,1,2,-1,5,
1],[4,1,6,1]],[[1,1,2,1],[2,2,1,1,3,2,1,-2,2,-1],[1,-2],[1,1,2,1,5,1,2,-1,5,1,
2,1,1,-1,2,1],[6,1,4,1,6,1]],[[1,1,2,1],[2,2,1,1,3,2,1,-2,2,-1],[1,-2],[5,1,2,
1,5,1,2,-1,5,1],[4,1,6,1]]],[[[1,-2],[3,1,2,-2,1,-1,2,-1,3,1],[1,-2,2,1,1,1,2,
-1,1,1,2,1],[4,1,5,2,4,2,5,-2]],[[1,-2],[3,1,2,-2,1,-1,2,-1,3,1],[1,-2,2,1,1,
1,2,-1,1,1,2,1],[5,1,4,-2,5,1,4,1]],[[1,-2],[3,1,2,-2,1,-1,2,-1,3,1],[1,-2,2,
1,1,1,2,-1,1,1,2,1],[4,2,5,1,4,1,5,1]]],[[[1,1,2,1],[1,-2,2,-1,3,1,2,2,1,1,3,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,2,1,4,-1,3,1]],[[1,-2],[3,1,2,-1,3,1,2,
1,3,1]]],[[[1,-2],[1,1,2,1,3,1,2,-1,3,1,2,1,1,-1,2,1],[1,1,2,1],[2,1,1,-1,2,
-1,5,2,2,2,1,-1],[4,1],[6,1],[7,1,8,1,7,1,8,1]],[[1,-2],[3,1,2,1,3,1,2,-1,3,
1]],[[1,1,2,1],[2,2,1,1,3,2,1,-2,2,-1],[1,-2],[1,1,2,1,5,1,2,-1,5,1,2,1,1,-1,
2,1],[6,1,4,1,6,1]],[[1,1,2,1],[2,2,1,1,3,2,1,-2,2,-1],[1,1,2,1],[5,1,2,1,1,1,
2,-1,5,-1,2,2,1,-1],[4,1,6,1]]],[[[1,1,2,1],[1,-2,3,1],[4,1,3,1,4,1,3,1]],[[2,
1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,-2]],[[1,1,2,2,1,-2,2,1,1,1]]],[[[1,-2],[1,1,2,
1],[4,1,3,1,4,1,3,1,2,1,1,1]],[[2,1,1,1],[1,1,2,2,3,-1,1,-2,3,2]],[[2,1,1,-1,
2,1,1,-2,2,1,1,1,2,1,1,-1,2,-1]]],[[[1,1,2,1],[2,1,1,-1,2,-1,3,2,2,2,1,-1],[1,
1,2,1],[5,1,2,1,1,1,2,-1,5,-1,2,2,1,-1],[4,1],[7,1,6,1,7,1]],[[1,-2],[3,1,2,1,
3,1,2,-1,3,1]],[[1,1,2,1],[2,2,1,1,3,2,1,-2,2,-1],[1,-2],[1,1,2,1,5,1,2,-1,5,
1,2,1,1,-1,2,1],[6,1,4,1,6,1]],[[1,1,2,1],[2,2,1,1,3,2,1,-2,2,-1],[1,1,2,1],[
5,1,2,1,1,1,2,-1,5,-1,2,2,1,-1],[4,1,6,1]]],[[[1,1,2,1],[3,1,2,1,1,-1,2,-1,3,
-1,1,1,2,-2]],[[2,1,1,-1,2,-1,1,-1,2,1,1,-1,2,-1,1,-2]],[[1,-2],[1,1,2,-1,3,1,
2,-2,1,-1,3,1]]],[[[1,-2],[1,1,2,1],[4,1,2,1,3,1,2,1,4,1,3,1,4,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,4,1,3,-1,2,1,4,-1]],[[1,-2],[1,1,2,1],[2,1,3,1],[4,1,5,
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1,1,2,2],[4,1,5,1,4,1,5,1]],[[1,-2],[3,1,2,-1,1,-1,2,-1,3,1,2,1],[2,1,1,1,2,
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1,1,2,-2,1,1]],[[1,1,2,1],[1,-2,2,-1,3,-1,2,2,3,1]]],[[[1,-2],[3,1,2,2,1,1,2,
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1,2,-1],[2,1,4,-1,3,1,4,1,2,-1,3,1]],[[1,-2],[3,1,2,-3,3,1]],[[1,1,2,1],[2,1,
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1,1,2,2,1,-1]],[[1,1,2,2],[1,-2,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,2,
1,4,1,3,1]],[[1,1,2,1],[2,1,3,1,1,-2,3,1,2,2]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,
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1]]],[[[1,1,2,1],[3,2,2,1,1,-2,2,2]],[[1,1,2,1],[3,1,1,-2],[3,1,4,1,3,1,4,
1]],[[1,-2],[1,1,2,-1,3,1,2,-2,1,-1,3,1]],[[1,1,2,1],[1,-2,3,1],[3,1,4,1,3,1,
4,1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,2,1,4,-1,3,1]],[[2,1,1,-2,2,1,1,
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1,1,1,2,-2,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,4,1,3,1]]],[[[1,-2],[
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6,1]],[[1,-2],[1,1,2,1,3,1,2,-1,3,1,2,1,1,-1,2,1]],[[1,-2],[3,1,2,1,3,1,2,-1,
3,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,-1,2,2,1,-1],[4,1,6,1]]],[[[1,-2],[1,1,2,
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1,3,-1,2,1,4,-1,3,1]],[[1,-2],[3,1,2,1,3,1,2,-1,3,1]],[[1,1,2,1],[2,2,1,-1],[
4,1,3,1,4,1,3,1]],[[1,-2],[2,1,3,1,2,1,1,-1,2,1,3,1]]],[[[1,1,2,1],[1,-2,3,
1],[4,1,3,1,4,1,3,1]],[[1,-2],[3,1,2,1,1,1,2,1,3,1,2,1]],[[1,1,2,2,1,-2,2,1,1,
1]],[[1,1,2,1],[3,2,1,-2,3,-2]]],[[[1,1,2,1],[3,2,1,1,2,-2,3,1]],[[2,1,1,-1,2,
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1,1,1]],[[2,1,1,1],[1,-2,3,1,2,-1,1,-1,2,1,3,-1]]],[[[1,-2],[2,-1,1,1,2,1],[1,
1,2,1,1,-1,2,-2],[4,-2],[6,1,5,1,6,1,5,-1,4,-1,5,-1]],[[1,1,2,1,1,-1,2,-2],[3,
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1],[1,1,2,-1,3,1,4,-2,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,1,3,-1,2,1,4,
-1]],[[2,1,1,-1,2,-1],[3,1,1,-2,3,-1]]],[[[1,-2],[1,1,2,1,3,1,2,-1,3,1,2,1,1,
-1,2,1],[1,1,2,1],[2,1,1,-1,2,-1,5,2,2,2,1,-1],[4,1],[7,1,6,1,7,1]],[[1,-2],[
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1],[2,2,1,-1],[3,1,4,1,3,1,4,1]]],[[[1,-2],[1,1,2,1,3,1,2,-1,3,1,2,1,1,-1,2,
1],[1,1,2,1],[2,1,1,-1,2,-1,5,2,2,2,1,-1],[4,1],[7,1,6,1,7,1]],[[1,1,2,1],[2,
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-1],[1,-2],[1,1,2,1,5,1,2,-1,5,1,2,1,1,-1,2,1],[6,1,4,1,6,1]],[[1,-2],[1,1,2,
1,3,1,2,-1,3,1,2,1,1,-1,2,1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,-1,2,2,1,-1],[4,1,
6,1]]],[[[1,-2],[1,1,2,1],[1,1,2,-1,3,1,4,-2,3,1]],[[1,1,2,1],[3,1,2,1,3,2,2,
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1]],[[2,1,1,1,2,-1,1,-2,2,1,1,-1,2,-1,1,-1]],[[1,1,2,1],[1,-2,2,2,3,2,2,1]],[[
1,1,2,1],[3,1,1,-2],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[2,2,1,1,3,1,1,-2,2,-1,3,
1]],[[1,1,2,1],[3,1,1,-2],[3,1,4,1,3,1,4,1]],[[1,-2],[2,-1,3,1,2,1]]],[[[1,
-2],[1,1,2,1],[1,1,2,-2,4,1,3,1,2,-1,3,1,4,-1]],[[1,-2],[1,1,2,1],[2,1,4,1],[
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2,1,1,-1,2,-2],[4,-2],[6,1,5,-1,4,-1,5,1,4,-1,5,1,6,1]],[[1,-2],[2,-1,1,1,2,
1],[1,1,2,1,1,-1,2,-2],[4,-2],[6,1,5,1,6,1,5,-1,4,1,5,-1]],[[1,1,2,1,1,-1,2,
-2],[3,-3]]],[[[1,-2],[1,1,2,1],[3,1,2,-1,3,1,4,-1,2,2,1,-1,4,1]],[[1,1,2,1],[
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1,2,-1,4,-1,3,1]]],[[[1,1,2,1],[2,2,1,1,3,2,1,-2,2,-1],[1,-2],[1,1,2,1,5,1,2,
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-1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,-1,2,2,1,-1],[4,1,6,1]],[[1,-2],[3,1,2,1,3,
1,2,-1,3,1]],[[1,1,2,1],[2,2,1,1,3,2,1,-2,2,-1],[1,1,2,1],[5,1,2,1,1,1,2,-1,5,
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3,1]]],[[[1,-2],[1,1,2,1],[1,1,2,-2,4,1,3,1,2,1,3,1,4,-1]],[[2,1,1,1],[2,1,3,
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2,1],[2,2,1,1,3,2,1,-2,2,-1]],[[1,1,2,1],[2,2,3,2,2,1,1,-2]],[[1,1,2,1],[2,1,
1,-1,2,-1,3,2,2,2,1,-1]],[[1,1,2,1],[1,1,2,-1],[3,1,4,1,1,-2,4,-1,3,-1]]],[[[
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3,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[3,1,1,-2,3,-1,2,2,1,1,3,1]]],[[[1,1,2,1],[
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1],[2,1,1,-1,2,-1,1,-2],[3,1,4,1,3,1,4,-1]]],[[[1,-2],[1,1,2,1],[2,-1,4,2,3,1,
2,1,4,1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,2]],[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1,
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2,-1,5,2,2,2,1,-1],[4,1],[6,1],[7,1,8,1,7,1,8,1]],[[1,-2],[3,1,2,1,3,1,2,-1,3,
1]],[[1,1,2,1],[2,2,1,1,3,2,1,-2,2,-1],[1,-2],[1,1,2,1,5,1,2,-1,5,1,2,1,1,-1,
2,1],[4,1,6,1,4,1,6,1]],[[1,1,2,1],[2,2,1,1,3,2,1,-2,2,-1],[1,1,2,1],[2,1,1,
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2,1,-2,2,-1],[1,1,2,1],[2,1,1,-1,2,-1,5,2,2,2,1,-1],[4,1,6,1]],[[1,1,2,1],[3,
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-2],[5,1,2,1,5,1,2,-1,5,1],[4,1,6,1]]],[[[1,-2],[1,1,2,1],[2,1,4,1],[3,1,5,1,
4,2,3,1,5,-1]],[[1,1,2,1],[1,1,2,-2,3,-2]],[[1,1,2,1],[3,1,1,-2,3,-1]],[[1,1,
2,1],[2,2,1,-1],[1,-2,4,-1,3,1,4,1,3,1]]],[[[1,-2],[1,1,2,1],[4,1,3,1,2,-2,4,
-1,2,1,1,-1,3,1]],[[1,1,2,1],[1,-2,3,1,2,1,3,2,2,1,1,-1]],[[1,-2],[1,1,2,1],[
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2,4,1,3,1]],[[1,-1,2,3],[3,1,2,1,1,1,2,1,1,-1,3,1]],[[1,-1,2,3],[1,1,2,-1,1,
-1,2,-1],[4,1,3,3,4,1]],[[1,-1,2,3],[1,1,2,-1,1,-1,2,-1],[4,1,3,-1,4,-1,3,
2]]],[[[1,-2],[1,1,2,1],[4,1,3,1,2,-1,4,1,2,-1,4,-1,3,1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,4,1,3,-1,2,1,4,-1]],[[1,1,2,1],[2,2,1,-1],[3,1,4,1,3,1,4,1]]],[[[
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1,2,1]],[[1,-2],[3,1,2,-1,3,1,2,1,3,1]]],[[[1,1,2,1],[3,1,1,-1,2,-2,3,1,2,2,1,
-1]],[[1,1,2,1],[3,2,1,-2,3,-2]],[[1,1,2,1],[1,1,2,-1],[3,1,4,1,1,-2,4,-1,3,
-1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,2]],[[1,-2],[3,1,2,1,1,1,2,1,3,1,2,1]]],[[[
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-1,1,-2]],[[1,1,2,2,1,-2,2,1,1,1]],[[1,-2],[3,1,1,1,2,1,3,1,2,2,1,-1]]],[[[1,
1,2,1],[2,2,1,1,3,2,1,-2,2,-1],[1,-2],[1,1,2,1,5,1,2,-1,5,1,2,1,1,-1,2,1],[6,
1,4,1,6,1]],[[1,1,2,1],[2,1,1,-1,2,-1,3,2,2,2,1,-1],[1,1,2,1],[5,1,2,1,1,1,2,
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1,1,3,2,1,-2,2,-1],[1,-2],[5,1,2,1,5,1,2,-1,5,1],[4,1,6,1]]],[[[1,1,2,1],[2,2,
1,1,3,2,1,-2,2,-1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,2]],[[1,1,2,1],[3,1,1,-1,2,
-2,3,1,2,2,1,-1]],[[1,1,2,1],[1,1,2,-1],[3,1,4,1,1,-2,4,-1,3,-1]]],[[[2,1,1,
1],[3,1,1,1,2,-1,1,1,2,2,3,-1,1,-2]],[[1,-2],[1,1,2,1],[2,-1,4,1,3,1,2,1,1,-1,
2,1,4,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,1,1,-1,2,-1,4,-1]],[[2,1,1,1],[1,1,2,1,
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1,1],[2,1,4,-1,3,1,2,1,4,1,3,-1]],[[1,1,2,1],[1,1,2,-1],[3,1,4,1,1,-2,4,-1,3,
-1]]],[[[1,-2],[2,1,1,1],[3,1,4,1,2,-1,4,-1,2,-1,3,1],[1,-2],[6,1,2,-1,6,1,2,
1,1,1,2,1],[5,1,7,-1,5,-1,7,-1,5,-1]],[[1,-2],[2,1,1,1],[3,1,4,1,2,-1,4,-1,2,
-1,3,1],[1,-2],[6,1,2,-1,6,1,2,1,1,1,2,1],[5,-2,7,-1]],[[1,-2],[3,1,2,-1,3,1,
2,1,1,1,2,1],[4,-2]]],[[[1,-2],[1,1,2,1],[3,1,4,2,2,1,1,1,2,-1,3,1,4,-1]],[[1,
1,2,1],[3,1,2,1,1,1,3,-1,1,-2,2,-1,1,1,2,-1]],[[1,-2],[1,1,2,1],[2,1,4,1,3,1,
4,1,3,1,2,1,1,1,2,-1]]],[[[1,-2],[1,1,2,1],[2,1,4,1],[3,1,5,1,4,2,3,1,5,
-1]],[[1,1,2,1,1,1,2,-1,1,-2,2,2,1,1]],[[2,1,1,-2,2,1,1,-2,2,1]],[[1,1,2,1],[
3,1,1,-2,3,-1]]],[[[1,-2],[1,1,2,1],[1,1,2,-1,3,1,4,-2,3,1]],[[1,1,2,1],[2,1,
3,2,2,1,1,1,3,1]],[[2,1,1,-1,2,-1],[3,1,1,-2,3,-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],[3,2,2,1,1,-2,2,1,1,1,3,-1]],[[1,-2],[3,
1,2,1,1,-1,2,1,3,1,2,1]],[[1,1,2,1],[3,1,1,-1,2,-2,3,1,2,2,1,-1]],[[1,1,2,1],[
1,-2,3,1],[4,1,3,1,4,1,3,1]]],[[[1,-2],[3,1,2,1,3,1,2,-1,1,-1,2,-1,1,1,2,
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1,1,1]]],[[[1,1,2,1],[2,1,3,1],[3,1,1,-2,4,2,3,1]],[[1,1,2,1],[3,1,2,1,3,2,2,
1,1,1]],[[1,-2],[1,1,2,1],[3,1,4,-2,2,1,4,1,3,1]]],[[[1,1,2,1],[2,2,1,1,3,2,1,
-2,2,-1]],[[2,1,1,-2,2,2,1,-2]],[[1,1,2,1],[2,1,1,-1,2,-1,3,2,2,2,1,-1]]],[[[
1,1,2,1],[1,-2,2,2,1,1,3,-2,2,2,1,-1]],[[2,1,1,-1,2,-1,1,-2,2,1,1,-1,2,-1,1,
-1]],[[1,-2],[1,1,2,1],[3,1,2,2,3,1,4,-1,2,-1,4,1]]],[[[1,1,2,1],[2,1,1,-1,2,
-1,3,2,2,2,1,-1]],[[1,-2],[3,1,2,1,1,-1,2,-1,3,1,2,2]],[[1,1,2,1],[3,1,2,1,1,
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-1]],[[1,-2],[2,-1,3,1,2,1]]],[[[1,1,2,3,1,-2,2,-1,1,1,2,-1]],[[1,1,2,1],[3,2,
1,-2,3,-2]],[[2,1,1,1,2,-1,1,1,2,1,1,1,2,-1,1,-2]]],[[[1,-2],[1,1,2,1],[1,1,2,
-1,3,1,4,1,3,1,2,-1,3,1,4,1]],[[2,1,1,-1,2,-1,1,-2,2,1,1,-1,2,-1,1,-1]],[[1,1,
2,1],[2,2,1,-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]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,2]],[[1,-2],[1,1,2,1],[2,-1,4,1,1,1,2,-1,3,
1,4,1]]],[[[1,-2],[2,1,1,-1,2,1,3,1,1,1,2,1,3,1,2,1,1,-1,2,-1]],[[1,1,2,1],[3,
1,2,2,1,-2,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,1,2,1,4,-1,1,-2,
3,1]]],[[[1,-2],[1,1,2,1,3,1,2,-1,3,1,2,1,1,-1,2,1],[1,1,2,1],[2,1,1,-1,2,-1,
5,2,2,2,1,-1],[6,1],[7,1,4,1,7,1]],[[1,1,2,1],[2,2,1,1,3,2,1,-2,2,-1]],[[1,
-2],[1,1,2,1,3,1,2,-1,3,1,2,1,1,-1,2,1]],[[1,-2],[3,1,2,1,3,1,2,-1,3,1],[1,1,
2,1],[5,1,2,1,1,1,2,-1,5,-1,2,2,1,-1],[4,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
4,-1,1,-2,3,2,2,1,4,1]],[[2,1,1,1,2,1],[3,1,1,-2,3,-1]],[[1,1,2,1],[3,2,1,-2,
2,1,1,1]],[[1,-2],[3,1,2,1,3,1,2,-1,1,-1,2,-1,1,1,2,-1]]],[[[1,-2],[3,1,2,1,3,
1,2,-1,1,-1,2,-1,1,1,2,-1]],[[1,1,2,1],[3,1,1,-2,3,-1]],[[1,-2],[1,1,2,1],[4,
1,3,1,4,1,3,1,2,1,1,1]],[[2,1,1,1,2,1],[3,1,1,-2,3,-1]]],[[[1,1,2,1],[2,2,1,1,
3,2,1,-2,2,-1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,2]],[[1,1,2,1],[3,2,1,-2,3,
-2]],[[1,1,2,1],[3,1,1,-1,2,-2,3,1,2,2,1,-1]]],[[[1,1,2,1],[2,1,1,1],[1,-2,2,
1,4,-1,3,2,2,1,4,1]],[[1,-2],[2,-1,3,1,2,1]],[[1,-2],[2,1,1,-1,2,1,3,1,2,1,3,
1]],[[1,-2],[1,1,2,1],[4,1,3,1,2,-1,3,1,2,1,4,1,3,1]]],[[[1,-2],[1,1,2,1],[3,
1,2,-1,3,1,4,2,3,1,2,-2]],[[1,1,2,1],[2,1,3,1],[3,1,4,1,1,-1,2,-1,4,-1]],[[1,
1,2,1],[3,1,2,2,1,-2,2,1,1,1,2,-1,3,1]],[[1,-2],[1,1,2,1],[3,1,4,-1,2,-1,4,1,
3,1,2,2]]],[[[1,-2],[1,1,2,1],[4,1,3,1,4,-1,2,-1,3,1,2,2,1,-1]],[[1,1,2,1],[2,
1,1,1],[3,1,2,1,4,1,3,-1,2,1,4,-1]],[[1,-2],[1,1,2,1],[1,1,2,-1,3,1,4,-2,3,
1]]],[[[1,-2],[1,1,2,1],[4,1,3,1,2,1,1,-1,2,1,4,1,3,1,2,-1,4,-1]],[[1,-2],[1,
1,2,1],[3,1,2,1,4,2,3,1,2,-2,4,1]],[[1,-2],[3,1,2,1,3,1,2,1,1,1,2,1]]],[[[1,
-2],[1,1,2,1,3,1,2,-1,3,1,2,1,1,-1,2,1]],[[1,1,2,1,1,-2,2,2,1,1]],[[1,-2],[3,
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1,-2,2,-1]],[[1,1,2,1],[2,1,3,3,1,1]],[[1,-2],[1,1,2,-1,3,1,2,-2,1,-1,3,
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]]],[[[1,-2],[1,1,2,1],[3,1,4,4,3,1]],[[1,1,2,1],[2,1,3,1],[4,1,1,-2,3,
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4,1,1]],[[2,2,1,1,2,2,1,-1]],[[1,-2]]],[[[1,1,2,1],[2,2,1,1,3,2,1,-2,2,-1]],[[
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1],[2,2,3,2,2,1,1,-2]],[[1,1,2,1],[2,1,1,-1,2,-1,3,2,2,2,1,-1]]],[[[1,1,2,1],[
3,1,2,2,1,-1,2,1,1,-1,2,-1,3,1]],[[2,1,1,1],[3,1,2,-1,1,-1,2,1,3,-1,1,-2]],[[
1,1,2,1],[3,2,2,1,1,-2,2,2]]],[[[1,1,2,1],[2,2,1,-1,3,1,1,-2,3,-2]],[[2,1,1,
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1],[2,1,4,1],[3,1,5,1,4,2,3,1,5,-1]],[[1,1,2,1],[2,1,1,-1,2,1,3,2,1,1]],[[1,
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2,-2,3,-1]],[[1,-1,2,3,1,1]],[[1,1,2,1],[3,2,2,1,3,1,1,-1]]],[[[1,-2,2,-2,1,1,
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AFLT( "(A8xA4):2","A12", [ 1, 2, 2, 4, 2, 4, 4, 3, 5, 5, 6, 8, 6, 10, 17,
10, 17, 19, 19, 13, 9, 22, 10, 22, 16, 17, 16, 19, 24, 17, 19, 16, 24, 13,
14, 19, 21, 21, 12, 15, 9, 16, 22, 24, 13, 14, 11, 23, 21, 12, 15, 15, 20,
25, 11, 20, 23, 25, 18, 26, 38, 40, 28, 28, 38, 32, 38, 32, 39, 38, 40, 28,
32, 39, 29, 35, 42, 34, 37, 44, 29, 31, 40, 35, 35, 42, 31, 41, 30, 45, 70,
53, 75, 53, 75, 67, 78, 67, 78, 55, 72, 47, 98, 67, 69, 112, 67, 69, 112,
54, 56, 60, 105, 70, 75, 78, 55, 72, 90, 56, 85, 61, 70, 47, 76, 47, 76,
57, 75, 98, 77, 112, 77, 73, 104, 67, 78, 53, 78, 75, 55, 72, 112, 77, 77,
98, 73, 104, 69, 69, 74, 59, 74, 47, 52, 97, 69, 110, 110, 98, 112, 54, 56,
60, 105, 60, 105, 63, 99, 91, 60, 74, 59, 66, 56, 74, 61, 88, 105, 102, 52,
110, 63, 97, 99, 90, 85, 91, 61, 88, 66, 102, 64, 50, 108, 101, 76, 77, 91,
61, 74, 88, 73, 92, 58, 89, 92, 89, 87, 86, 83, 84, 57, 59, 66, 104, 102,
64, 50, 101, 108, 65, 100, 58, 65, 49, 109, 48, 100, 109, 87, 86, 83, 84,
51, 46, 103, 71, 62, 106, 80, 79, 68, 82, 81, 107, 111, 114, 93, 96, 113,
94, 95, 115, 115, 122, 122, 121, 131, 127, 131, 128, 128, 147, 157, 147,
162, 162, 151, 160, 149, 153, 154, 174, 173, 169, 163, 157, 162, 159, 162,
157, 159, 146, 158, 183, 178, 151, 160, 152, 180, 160, 172, 146, 158, 152,
180, 178, 183, 172, 150, 184, 134, 146, 136, 136, 148, 139, 157, 178, 147,
162, 183, 158, 151, 160, 152, 180, 138, 135, 174, 171, 159, 172, 150, 184,
161, 153, 170, 170, 166, 177, 174, 161, 164, 169, 170, 165, 148, 171, 185,
179, 173, 154, 163, 181, 155, 167, 182, 166, 165, 168, 134, 136, 139, 137,
143, 145, 137, 143, 144, 187, 186, 188, 188, 189, 230, 230, 286, 286, 248,
192, 287, 192, 287, 199, 250, 287, 285, 285, 254, 253, 230, 229, 287, 225,
199, 250, 250, 232, 254, 253, 198, 252, 252, 203, 282, 308, 202, 243, 310,
226, 217, 245, 203, 286, 200, 251, 308, 285, 311, 249, 286, 285, 282, 226,
198, 202, 310, 254, 252, 243, 217, 252, 201, 255, 254, 255, 236, 274, 248,
253, 245, 241, 266, 267, 220, 286, 230, 248, 190, 209, 284, 309, 200, 251,
205, 216, 251, 244, 190, 284, 209, 309, 205, 216, 244, 193, 305, 285, 287,
253, 209, 208, 227, 323, 311, 249, 212, 213, 255, 283, 323, 322, 240, 316,
320, 321, 246, 203, 282, 226, 308, 199, 252, 254, 202, 243, 217, 310, 250,
253, 245, 229, 225, 232, 309, 283, 322, 323, 255, 311, 240, 316, 321, 320,
249, 246, 227, 208, 212, 213, 284, 283, 281, 227, 201, 234, 218, 242, 240,
281, 234, 242, 218, 273, 271, 200, 251, 205, 216, 207, 231, 206, 211, 315,
233, 215, 215, 201, 255, 242, 218, 314, 214, 316, 314, 321, 311, 249, 212,
213, 207, 314, 194, 306, 315, 306, 236, 274, 237, 237, 270, 196, 221, 221,
219, 237, 238, 206, 215, 196, 221, 238, 197, 307, 231, 214, 233, 270, 241,
266, 220, 267, 235, 222, 211, 219, 222, 319, 247, 210, 275, 223, 280, 262,
288, 327, 289, 292, 295, 294, 324, 244, 246, 238, 235, 222, 239, 239, 272,
268, 269, 331, 330, 335, 334, 332, 333, 337, 336, 193, 305, 197, 307, 273,
271, 319, 191, 317, 278, 204, 312, 265, 258, 313, 329, 326, 303, 304, 195,
318, 272, 269, 268, 277, 224, 279, 276, 256, 228, 259, 257, 260, 263, 261,
264, 291, 293, 328, 290, 302, 296, 297, 325, 299, 300, 298, 301, 372, 350,
338, 350, 350, 372, 342, 350, 365, 338, 351, 372, 342, 342, 351, 352, 353,
364, 349, 365, 356, 364, 341, 349, 354, 374, 357, 348, 355, 382, 384, 385,
376, 384, 376, 377, 381, 383, 385, 387, 388, 378, 391, 390, 389, 485, 419,
436, 487, 456, 446, 467, 452, 456, 468, 485, 446, 467, 487, 452, 489, 417,
421, 484, 440, 491, 469, 453, 462, 442, 472, 464, 465, 463, 441, 494, 468,
451, 461, 471, 502, 499, 461, 499, 468, 471, 502, 441, 494, 451, 437, 450,
470, 496, 481, 505, 449, 437, 470, 505, 438, 506, 506, 480, 481, 455, 450,
496, 449, 455, 497, 393, 393, 417, 396, 417, 396, 416, 441, 485, 461, 437,
450, 394, 422, 411, 422, 394, 411, 466, 456, 494, 468, 451, 446, 499, 505,
449, 436, 467, 452, 487, 471, 502, 496, 481, 470, 438, 506, 480, 489, 455,
408, 425, 415, 392, 397, 421, 400, 419, 400, 397, 418, 395, 417, 422, 424,
497, 435, 482, 486, 508, 474, 472, 488, 448, 464, 445, 490, 466, 504, 465,
503, 459, 447, 495, 463, 444, 492, 454, 439, 457, 498, 458, 460, 493, 483,
501, 443, 507, 500, 393, 396, 416, 394, 411, 406, 413, 426, 424, 398, 402,
407, 412, 427, 398, 402, 420, 399, 423, 401, 433, 434, 477, 476, 475, 478,
479, 510, 524, 526, 525, 531, 530, 527, 533, 528, 531, 527, 533, 532, 529,
534, 640, 640, 638, 559, 701, 638, 567, 636, 639, 680, 632, 677, 640, 585,
535, 634, 634, 570, 634, 637, 585, 570, 701, 662, 637, 661, 700, 635, 586,
702, 573, 698, 638, 567, 627, 565, 637, 700, 643, 538, 629, 587, 629, 622,
645, 648, 645, 576, 628, 633, 678, 679, 566, 569, 575, 574, 572, 696, 697,
571, 639, 586, 636, 628, 572, 623, 680, 702, 635, 678, 697, 636, 632, 677,
635, 573, 698, 566, 633, 696, 569, 571, 679, 625, 639, 680, 638, 632, 677,
559, 701, 567, 536, 563, 646, 568, 631, 695, 588, 536, 631, 646, 588, 539,
652, 652, 589, 580, 563, 695, 568, 580, 704, 558, 560, 586, 702, 637, 573,
698, 662, 661, 700, 646, 568, 642, 564, 644, 699, 611, 630, 611, 610, 649,
650, 613, 614, 579, 660, 699, 659, 690, 689, 683, 684, 538, 572, 628, 629,
696, 633, 645, 571, 679, 587, 697, 678, 627, 643, 622, 648, 565, 576, 541,
607, 591, 663, 554, 601, 603, 544, 665, 695, 588, 660, 630, 659, 610, 699,
611, 644, 642, 649, 650, 614, 613, 564, 579, 592, 602, 631, 630, 626, 644,
626, 621, 624, 651, 651, 708, 705, 711, 712, 539, 652, 589, 623, 580, 540,
647, 653, 653, 577, 653, 609, 608, 578, 621, 651, 624, 625, 612, 609, 647,
649, 650, 614, 613, 579, 641, 656, 616, 654, 620, 674, 675, 671, 676, 673,
577, 578, 703, 562, 561, 583, 582, 556, 605, 545, 597, 593, 546, 594, 664,
600, 599, 555, 668, 548, 598, 552, 551, 606, 604, 596, 595, 704, 703, 716,
715, 694, 693, 657, 658, 707, 706, 710, 709, 537, 590, 615, 714, 557, 618,
655, 619, 617, 670, 672, 713, 669, 692, 682, 691, 681, 581, 584, 687, 685,
688, 686, 547, 550, 553, 549, 542, 666, 667, 543, 773, 763, 776, 766, 764,
778, 775, 739, 773, 745, 745, 738, 739, 766, 773, 745, 773, 762, 765, 772,
772, 776, 739, 738, 757, 718, 736, 766, 719, 736, 719, 737, 740, 778, 743,
743, 741, 762, 765, 772, 771, 764, 775, 774, 770, 777, 769, 741, 742, 744,
721, 726, 729, 726, 729, 734, 726, 727, 729, 728, 730, 782, 757, 746, 749,
747, 781, 768, 734, 748, 727, 728, 793, 784, 790, 785, 788, 785, 783, 786,
788, 794, 787, 791, 792, 796, 800, 797, 801, 889, 893, 902, 838, 813, 844,
813, 844, 807, 836, 889, 888, 870, 910, 910, 887, 900, 901, 804, 893, 900,
902, 901, 830, 804, 841, 841, 803, 832, 806, 843, 842, 837, 835, 891, 904,
894, 872, 912, 897, 896, 911, 883, 871, 916, 908, 914, 871, 916, 911, 883,
908, 914, 825, 907, 878, 880, 907, 882, 909, 915, 880, 915, 886, 879, 878,
909, 885, 886, 830, 841, 831, 841, 830, 831, 802, 826, 840, 875, 803, 832,
811, 827, 832, 850, 802, 840, 826, 875, 811, 827, 850, 808, 874, 893, 911,
889, 902, 871, 825, 907, 880, 878, 863, 810, 860, 802, 818, 810, 810, 820,
863, 860, 818, 820, 809, 823, 870, 900, 883, 908, 916, 914, 910, 901, 909,
886, 885, 888, 887, 915, 879, 882, 890, 881, 906, 905, 869, 843, 838, 833,
842, 844, 834, 805, 845, 828, 876, 807, 837, 835, 812, 846, 829, 877, 836,
834, 847, 804, 821, 875, 830, 826, 841, 840, 803, 832, 811, 827, 863, 860,
851, 852, 920, 919, 903, 898, 895, 899, 873, 917, 913, 884, 831, 850, 808,
874, 849, 809, 823, 851, 852, 815, 858, 814, 855, 918, 824, 848, 839, 859,
857, 856, 854, 853, 922, 923, 921, 925, 924, 929, 942, 942, 929, 937, 938,
946, 965, 964, 987, 989, 988, 978, 984, 982, 985, 983, 986, 980, 979, 991,
992, 989, 979, 991, 990, 975, 976, 966, 967, 994, 1089, 997, 1088, 1089,
1088, 1011, 1058, 998, 1069, 1004, 1068, 1085, 1087, 997, 1088, 1010, 1084,
1010, 1000, 1084, 1023, 1079, 1040, 1070, 1058, 1014, 1012, 1059, 1090,
1091, 1086, 998, 1004, 1069, 1068, 996, 1001, 1065, 1044, 1012, 1090, 1059,
1091, 1056, 1104, 1066, 1104, 1033, 1073, 1034, 1074, 1035, 1085, 1087,
1087, 1086, 998, 1069, 1011, 1058, 1004, 1068, 1022, 1078, 1038, 995, 1003,
1016, 1016, 1016, 1005, 1064, 1063, 1003, 1057, 1005, 1067, 1067, 1064,
1015, 1009, 1006, 1041, 1027, 1072, 1026, 1012, 1059, 1014, 1090, 1091,
1102, 1080, 1081, 1093, 1097, 1005, 1064, 1063, 1002, 1103, 1103, 1092,
1105, 1045, 1105, 1043, 1112, 1111, 1096, 1082, 1095, 1083, 1094, 996,
1056, 1001, 1104, 1044, 1065, 1066, 1018, 1053, 1054, 1062, 1019, 1047,
1046, 1060, 1052, 1037, 1071, 1036, 1032, 1076, 1067, 1015, 1092, 1002,
1045, 1103, 1105, 1055, 1050, 1039, 1024, 1075, 1025, 1057, 1092, 1013,
1114, 1113, 999, 1017, 1042, 1108, 1007, 1008, 1110, 1109, 1020, 1051,
1021, 1061, 1106, 1107, 1048, 1049, 1030, 1028, 1031, 1029, 1077, 1117,
1118, 1116, 1115, 1099, 1101, 1098, 1100, 1154, 1181, 1183, 1199, 1221,
1133, 1201, 1155, 1222, 1182, 1184, 1194, 1185, 1196, 1186, 1134, 1181,
1138, 1138, 1137, 1219, 1223, 1183, 1211, 1217, 1141, 1159, 1181, 1132,
1209, 1219, 1223, 1219, 1223, 1159, 1152, 1162, 1213, 1182, 1190, 1215,
1134, 1138, 1137, 1194, 1135, 1184, 1136, 1132, 1209, 1210, 1197, 1185,
1196, 1189, 1200, 1187, 1195, 1136, 1139, 1220, 1224, 1186, 1218, 1212,
1140, 1202, 1153, 1208, 1188, 1225, 1226, 1214, 1216, 1120, 1168, 1203,
1124, 1180, 1129, 1203, 1120, 1168, 1124, 1180, 1178, 1120, 1168, 1159,
1203, 1124, 1166, 1180, 1156, 1172, 1121, 1205, 1165, 1131, 1175, 1193,
1178, 1207, 1179, 1230, 1166, 1173, 1122, 1169, 1128, 1206, 1157, 1174,
1130, 1158, 1236, 1232, 1235, 1234, 1237, 1233, 1238, 1246, 1249, 1247,
1250, 1251, 1253, 1252, 1254, 1349, 1386, 1388, 1346, 1332, 1332, 1322,
1344, 1288, 1260, 1323, 1343, 1294, 1323, 1321, 1386, 1388, 1361, 1379,
1258, 1345, 1324, 1285, 1315, 1284, 1324, 1316, 1346, 1285, 1315, 1345,
1284, 1347, 1342, 1341, 1320, 1319, 1293, 1292, 1387, 1353, 1390, 1385,
1383, 1353, 1385, 1390, 1383, 1280, 1363, 1316, 1282, 1318, 1358, 1326,
1359, 1318, 1358, 1316, 1326, 1359, 1280, 1363, 1282, 1257, 1283, 1338,
1281, 1325, 1364, 1308, 1257, 1325, 1338, 1308, 1261, 1337, 1337, 1307,
1286, 1283, 1364, 1281, 1286, 1369, 1386, 1353, 1390, 1349, 1388, 1385,
1348, 1333, 1346, 1280, 1318, 1257, 1283, 1264, 1295, 1269, 1333, 1333,
1295, 1264, 1269, 1300, 1262, 1301, 1263, 1304, 1331, 1361, 1383, 1379,
1381, 1336, 1372, 1373, 1354, 1374, 1384, 1317, 1360, 1322, 1313, 1357,
1287, 1365, 1321, 1290, 1366, 1259, 1289, 1311, 1314, 1367, 1312, 1339,
1291, 1356, 1309, 1368, 1355, 1324, 1285, 1258, 1315, 1284, 1345, 1272,
1297, 1273, 1275, 1274, 1278, 1363, 1358, 1359, 1364, 1308, 1316, 1282,
1338, 1281, 1326, 1325, 1261, 1337, 1307, 1347, 1286, 1369, 1255, 1310,
1340, 1380, 1306, 1331, 1256, 1327, 1299, 1350, 1351, 1352, 1334, 1328,
1330, 1329, 1391, 1389, 1305, 1279, 1277, 1276, 1418, 1400, 1412, 1418,
1412, 1422, 1408, 1404, 1421, 1427, 1417, 1407, 1407, 1431, 1465, 1458,
1459, 1472, 1471, 1454, 1470, 1469, 1460, 1461, 1462, 1464, 1463, 1471,
1451, 1452, 1466, 1455, 1468, 1457, 1445, 1432, 1432, 1445, 1434, 1435,
1446, 1446, 1435, 1433, 1474, 1513, 1513, 1504, 1525, 1523, 1479, 1507,
1528, 1526, 1519, 1518, 1504, 1492, 1482, 1501, 1485, 1496, 1524, 1522,
1528, 1526, 1495, 1505, 1520, 1521, 1479, 1528, 1507, 1526, 1483, 1500,
1484, 1498, 1478, 1489, 1495, 1505, 1508, 1493, 1509, 1494, 1529, 1517,
1477, 1506, 1490, 1514, 1487, 1497, 1486, 1499, 1515, 1511, 1512, 1516,
1480, 1481, 1503, 1502, 1491, 1488, 1527, 1510, 1614, 1541, 1612, 1580,
1577, 1586, 1615, 1582, 1543, 1538, 1583, 1596, 1610, 1579, 1578, 1580,
1585, 1564, 1577, 1587, 1574, 1613, 1616, 1606, 1546, 1555, 1585, 1546,
1606, 1555, 1542, 1563, 1571, 1578, 1579, 1566, 1575, 1539, 1604, 1572,
1598, 1584, 1565, 1576, 1588, 1540, 1595, 1568, 1569, 1570, 1567, 1573,
1597, 1611, 1617, 1589, 1599, 1544, 1590, 1605, 1594, 1544, 1545, 1605,
1589, 1599, 1590, 1594, 1546, 1589, 1599, 1555, 1606, 1544, 1590, 1594,
1605, 1531, 1535, 1531, 1535, 1536, 1545, 1534, 1535, 1534, 1547, 1607,
1557, 1600, 1556, 1591, 1558, 1533, 1603, 1621, 1561, 1562, 1608, 1601,
1549, 1548, 1592, 1550, 1536, 1625, 1645, 1644, 1646, 1643, 1641, 1642,
1640, 1639, 1652, 1655, 1655, 1651, 1647, 1647, 1649, 1648, 1747, 1697,
1736, 1727, 1735, 1666, 1730, 1699, 1729, 1709, 1728, 1710, 1697, 1696,
1663, 1706, 1706, 1692, 1726, 1725, 1736, 1726, 1727, 1725, 1733, 1734,
1731, 1732, 1707, 1694, 1664, 1723, 1704, 1711, 1664, 1723, 1707, 1694,
1704, 1711, 1657, 1705, 1668, 1689, 1668, 1703, 1700, 1701, 1705, 1693,
1703, 1712, 1689, 1712, 1701, 1688, 1747, 1746, 1748, 1736, 1697, 1727,
1707, 1664, 1657, 1705, 1689, 1668, 1685, 1659, 1684, 1659, 1658, 1685,
1684, 1713, 1680, 1714, 1679, 1669, 1672, 1673, 1674, 1670, 1671, 1702,
1744, 1745, 1738, 1665, 1724, 1708, 1695, 1663, 1726, 1706, 1725, 1696,
1692, 1687, 1691, 1721, 1661, 1717, 1662, 1720, 1694, 1723, 1712, 1688,
1701, 1704, 1711, 1703, 1700, 1693, 1698, 1690, 1722, 1716, 1737, 1743,
1667, 1752, 1753, 1754, 1718, 1719, 1770, 1776, 1792, 1768, 1798, 1793,
1796, 1773, 1789, 1789, 1786, 1768, 1789, 1788, 1764, 1766, 1787, 1801,
1832, 1830, 1831, 1817, 1822, 1824, 1823, 1818, 1826, 1829, 1827, 1808,
1804, 1809, 1808, 1809, 1802, 1810, 1806, 1820, 1813, 1813, 1812, 1805,
1807, 1803, 1812, 1821, 1811, 1834, 1836, 1845, 1844, 1837, 1841, 1842,
1843, 1838, 1850, 1839, 1840, 1848, 1849, 1846, 1847, 1903, 1871, 1898,
1904, 1905, 1897, 1901, 1900, 1902, 1899, 1894, 1891, 1884, 1888, 1884,
1891, 1888, 1870, 1896, 1895, 1893, 1869, 1889, 1892, 1890, 1869, 1892,
1868, 1889, 1890, 1872, 1884, 1869, 1889, 1892, 1890, 1891, 1888, 1872,
1851, 1872, 1863, 1852, 1881, 1863, 1851, 1852, 1857, 1858, 1881, 1879,
1868, 1883, 1867, 1862, 1881, 1887, 1882, 1878, 1877, 1855, 1865, 1873,
1856, 1874, 1885, 1879, 1866, 1880, 1906, 1933, 1932, 1930, 1931, 1959,
1956, 1946, 1955, 1951, 1947, 1940, 1945, 1941, 1951, 1940, 1947, 1952,
1943, 1953, 1949, 1934, 1968, 1997, 1986, 1998, 1973, 1984, 1985, 1997,
1986, 1975, 1976, 1966, 1995, 1993, 1994, 1966, 1993, 1995, 1994, 2000,
1997, 1968, 1986, 1966, 1995, 1993, 1967, 1961, 1961, 1965, 1960, 1983,
1990, 1988, 1989, 1987, 1975, 1976, 1964, 1972, 1977, 1970, 1969, 1963,
1971, 1981, 1974, 1980, 1979, 1994, 1978, 1996, 1992, 2030, 2008, 2025,
2013, 2021, 2018, 2008, 2007, 2019, 2014, 2011, 2026, 2024, 2006, 2006,
2053, 2052, 2038, 2048, 2043, 2041, 2049, 2037, 2045, 2042, 2040, 2050,
2047, 2039, 2044, 2046, 2060, 2061, 2059, 2058, 2062, 2063, 2110, 2107,
2107, 2084, 2093, 2094, 2107, 2093, 2084, 2094, 2077, 2084, 2073, 2078,
2102, 2102, 2073, 2076, 2102, 2077, 2078, 2081, 2082, 2065, 2089, 2066,
2067, 2068, 2090, 2069, 2109, 2076, 2074, 2106, 2104, 2105, 2098, 2085,
2099, 2086, 2100, 2080, 2101, 2088, 2108, 2150, 2148, 2151, 2149, 2153,
2146, 2152, 2147, 2191, 2183, 2184, 2178, 2176, 2179, 2177, 2174, 2168,
2173, 2172, 2175, 2178, 2163, 2164, 2180, 2166, 2155, 2169, 2155, 2169,
2154, 2207, 2197, 2206, 2200, 2207, 2208, 2210, 2195, 2194, 2201, 2204,
2205, 2211, 2193, 2202, 2196, 2203, 2217, 2220, 2222, 2231, 2228, 2223,
2216, 2227, 2227, 2215, 2227, 2215, 2226, 2233, 2234, 2239, 2243, 2244,
2244, 2241, 2275, 2260, 2274, 2268, 2269, 2267, 2266, 2260, 2275, 2274,
2248, 2252, 2275, 2274, 2248, 2251, 2250, 2252, 2255, 2258, 2253, 2257,
2254, 2250, 2276, 2249, 2264, 2277, 2262, 2263, 2300, 2299, 2330, 2329,
2326, 2327, 2319, 2328, 2307, 2325, 2315, 2321, 2303, 2324, 2305, 2323,
2317, 2309, 2309, 2310, 2302, 2310, 2301, 2313, 2308, 2314, 2338, 2339,
2348, 2345, 2345, 2346, 2347, 2342, 2363, 2361, 2362, 2369, 2366, 2364,
2367, 2373, 2381, 2378, 2379, 2381, 2377, 2382, 2384, 2383, 2388, 2387,
2386, 2385, 2390, 2399, 2411, 2407, 2408, 2401, 2403, 2402, 2406, 2404,
2400, 2405, 2416, 2413, 2413, 2415, 2426, 2427, 2431, 2432, 2430, 2435,
2428, 2438, 2439, 2440, 2441, 2444, 2445, 2449, 2450, 2451, 2460, 2472,
2468, 2466, 2471, 2474, 2473, 2475, 2483, 2490, 2492, 2494, 2496, 2495,
2504, 2507, 2506, 2513, 2512, 2516, 2514, 2515, 2519, 2522, 2524, 2530 ]);
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#E