File: tma13.tom

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#############################################################################
##
#W  tma13.tom            GAP table of marks library            G"otz Pfeiffer
##
#H  @(#)$Id: tma13.tom,v 4.1 2005/12/10 12:43:27 gap Exp $
##
#Y  Copyright (C)  2005,  Lehrstuhl D fuer Mathematik,  RWTH Aachen,  Germany
##
##  This file contains the table of marks of the ATLAS group $A_{13}$.
##
#H  tomlib history
#H  --------------
#H  $Log: tma13.tom,v $
#H  Revision 4.1  2005/12/10 12:43:27  gap
#H  added the tables of marks of S12 and A13 (computed by G"otz Pfeiffer)
#H      TB
#H
##
Revision.tma13_tom :=
    "@(#)$Id: tma13.tom,v 4.1 2005/12/10 12:43:27 gap Exp $";

SetActualLibFileName( "tma13" );

LIBTOM("A13",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,2,9],[1,2,10],[1,4,11],[1,2,
4,12],[1,2,4,13],[1,4,14],[1,2,3,4,15],[1,2,3,16],[1,3,4,17],[1,3,18],[1,2,4,
19],[1,4,20],[1,3,4,21],[1,2,22],[1,2,23],[1,4,24],[1,4,25],[1,26],[1,27],[1,2
,5,28],[1,2,6,29],[1,3,5,30],[1,4,6,31],[1,4,5,32],[1,3,6,33],[1,4,8,34],[1,4,
6,35],[1,3,7,36],[1,3,8,37],[1,4,8,38],[1,4,7,39],[1,2,5,40],[1,4,5,41],[1,4,6
,42],[1,2,8,43],[1,2,6,44],[1,3,6,45],[1,4,8,46],[1,3,7,47],[1,48],[1,4,11,49]
,[1,2,4,9,12,13,50],[1,2,4,10,13,51],[1,2,3,4,9,15,16,52],[1,4,14,20,53],[1,2,
3,4,12,14,15,17,54],[1,2,3,4,12,13,15,16,17,55],[1,2,3,4,15,17,19,20,56],[1,2,
4,11,12,13,57],[1,3,4,14,21,58],[1,3,4,14,21,59],[1,2,3,4,15,16,18,21,60],[1,3
,4,17,18,21,61],[1,2,3,4,10,15,19,62],[1,2,4,13,14,19,63],[1,2,3,4,13,14,15,64
],[1,2,4,10,13,19,65],[1,3,4,11,21,66],[1,2,3,4,11,15,21,67],[1,2,3,4,13,16,21
,68],[1,3,4,11,14,17,21,69],[1,2,3,4,12,15,16,17,21,70],[1,2,4,12,13,19,20,71]
,[1,3,4,18,21,72],[1,2,9,10,22,73],[1,2,4,10,12,22,74],[1,2,4,9,19,23,75],[1,2
,4,12,19,22,76],[1,2,4,10,12,23,77],[1,4,11,24,78],[1,2,3,10,16,23,79],[1,2,3,
4,16,19,22,80],[1,2,4,12,19,23,81],[1,2,4,11,13,24,82],[1,3,4,21,25,83],[1,3,4
,21,25,84],[1,3,4,21,24,85],[1,3,4,11,21,25,86],[1,2,4,12,19,23,87],[1,4,20,24
,88],[1,4,11,14,25,89],[1,3,4,14,21,24,90],[1,2,3,4,13,21,25,91],[1,2,3,4,16,
19,23,92],[1,4,20,25,93],[1,3,4,14,21,25,94],[1,3,4,14,21,25,95],[1,4,24,96],[
1,4,25,97],[1,4,25,98],[1,4,24,25,99],[1,2,4,13,24,100],[1,2,4,13,22,101],[1,4
,11,24,102],[1,2,4,13,25,103],[1,4,14,24,25,104],[1,2,3,4,15,24,25,105],[1,2,3
,4,15,23,106],[1,2,4,13,23,107],[1,2,4,13,22,23,108],[1,2,3,4,15,22,23,109],[1
,2,4,13,23,110],[1,2,3,4,15,25,111],[1,4,14,25,112],[1,4,11,25,113],[1,3,4,21,
24,25,114],[1,3,4,21,25,115],[1,4,24,116],[1,4,25,117],[1,5,6,118],[1,8,119],[
1,6,8,120],[1,5,6,8,121],[1,8,122],[1,8,123],[1,6,7,124],[1,5,7,8,125],[1,6,7,
8,126],[1,7,8,127],[1,8,128],[1,8,129],[1,2,26,130],[1,3,26,131],[1,4,26,132],
[1,3,27,133],[1,4,27,134],[1,4,26,135],[1,2,26,136],[1,3,27,137],[1,138],[1,2,
5,9,139],[1,2,6,10,140],[1,2,6,9,141],[1,2,7,9,142],[1,2,8,10,143],[1,4,6,11,
144],[1,2,8,9,145],[1,2,7,10,146],[1,4,8,20,147],[1,4,8,11,148],[1,3,7,18,149]
,[1,4,7,14,150],[1,4,7,20,151],[1,3,8,18,152],[1,2,5,9,40,153],[1,2,8,9,43,154
],[1,2,5,10,40,155],[1,2,6,9,44,156],[1,4,5,11,41,157],[1,2,4,5,19,40,41,158],
[1,2,6,10,44,159],[1,2,4,5,13,40,41,160],[1,4,5,20,41,161],[1,2,4,5,12,40,41,
162],[1,2,4,6,19,42,44,163],[1,2,4,8,19,43,46,164],[1,2,3,4,6,15,42,44,45,165]
,[1,2,3,6,16,44,45,166],[1,3,7,18,47,167],[1,2,5,10,28,40,168],[1,2,3,4,5,15,
28,30,41,169],[1,2,3,4,5,15,30,32,40,170],[1,4,5,14,32,41,171],[1,2,4,6,12,29,
31,42,172],[1,2,4,5,13,28,32,40,173],[1,2,4,5,12,32,40,174],[1,2,3,5,16,30,40,
175],[1,3,4,5,17,30,32,41,176],[1,2,4,6,19,31,44,177],[1,4,6,20,31,35,42,178],
[1,2,4,5,19,28,32,41,179],[1,2,4,5,19,32,40,180],[1,3,4,5,21,30,41,181],[1,2,3
,6,16,33,44,182],[1,3,4,6,21,33,35,45,183],[1,2,3,4,6,15,31,33,44,184],[1,2,3,
6,16,29,33,45,185],[1,3,4,6,17,31,35,45,186],[1,3,4,6,17,33,35,42,187],[1,2,4,
6,12,35,44,188],[1,2,4,6,13,29,35,44,189],[1,4,5,20,32,41,190],[1,2,3,4,8,15,
34,37,43,191],[1,3,4,8,17,37,38,46,192],[1,2,3,8,16,37,43,193],[1,2,4,8,19,38,
43,194],[1,2,4,6,19,35,44,195],[1,3,7,18,36,47,196],[1,4,8,20,34,38,46,197],[1
,3,4,7,21,36,39,47,198],[1,2,5,22,40,199],[1,2,6,23,44,200],[1,2,5,23,40,201],
[1,4,5,25,41,202],[1,2,8,23,43,203],[1,2,6,23,44,204],[1,2,5,23,40,205],[1,2,5
,22,40,206],[1,4,5,24,41,207],[1,2,6,22,44,208],[1,2,6,23,44,209],[1,2,8,23,43
,210],[1,211],[1,4,48,212],[1,3,48,213],[1,2,48,214],[1,5,26,215],[1,6,26,216]
,[1,5,27,217],[1,2,4,9,11,12,13,50,57,218],[1,2,4,10,13,19,51,65,219],[1,2,3,4
,11,15,21,49,66,67,220],[1,2,4,9,10,12,13,19,20,50,65,71,221],[1,2,3,4,9,11,15
,16,18,21,52,60,67,222],[1,2,3,4,13,14,15,16,18,21,58,59,60,64,68,223],[1,3,4,
11,14,17,18,21,61,69,224],[1,2,3,4,12,13,15,16,17,18,21,55,60,61,68,70,225],[1
,2,3,4,11,12,14,15,16,17,18,21,54,58,59,60,61,67,69,70,226],[1,2,4,10,13,14,19
,63,65,227],[1,2,3,4,10,13,14,15,19,51,62,63,64,65,228],[1,2,3,4,9,12,13,14,15
,16,17,50,52,54,55,64,229],[1,2,3,4,12,13,14,15,17,19,20,53,54,56,63,64,71,230
],[1,2,3,4,10,12,13,15,16,17,19,20,55,56,62,65,71,231],[1,2,3,4,9,12,13,15,16,
17,21,50,52,55,68,70,232],[1,2,3,4,11,12,13,14,15,16,17,21,55,57,64,67,68,69,
70,233],[1,2,3,4,11,12,13,14,15,16,17,21,54,55,57,69,70,234],[1,2,3,4,11,15,16
,18,21,60,66,67,72,235],[1,2,4,11,12,13,22,57,101,236],[1,2,4,9,12,13,22,24,50
,100,101,237],[1,2,4,11,12,13,24,57,102,238],[1,2,4,10,13,23,51,107,239],[1,2,
4,10,13,19,23,24,65,100,107,240],[1,2,4,12,13,19,20,22,23,71,101,107,241],[1,2
,4,11,12,13,23,57,110,242],[1,2,3,4,12,13,15,16,17,23,24,55,100,110,243],[1,2,
3,4,12,13,15,16,17,22,25,55,101,103,244],[1,2,3,4,13,16,21,22,23,68,101,110,
245],[1,2,4,13,14,19,23,63,107,246],[1,2,4,9,12,13,23,25,50,103,110,247],[1,2,
4,12,13,19,20,23,71,107,110,248],[1,2,4,10,13,19,23,25,65,103,107,249],[1,2,3,
4,13,16,21,23,68,110,250],[1,2,3,4,12,13,15,16,17,23,25,55,103,110,251],[1,2,4
,13,14,19,25,63,112,252],[1,2,3,4,15,17,19,20,23,25,56,106,111,253],[1,2,4,11,
12,13,25,57,113,254],[1,3,4,11,14,17,21,24,25,69,102,113,255],[1,3,4,11,14,17,
21,25,69,113,256],[1,2,4,10,11,12,13,24,51,57,82,100,257],[1,2,4,9,10,12,13,22
,50,51,73,74,101,258],[1,2,4,11,12,13,24,49,57,78,82,102,259],[1,2,4,12,13,19,
20,24,71,88,100,260],[1,2,4,11,12,13,19,20,22,23,57,71,76,87,108,261],[1,2,4,9
,12,13,19,20,23,50,71,75,87,107,262],[1,2,4,10,11,12,13,19,23,57,65,77,87,107,
263],[1,2,3,4,10,13,16,21,25,51,68,91,103,264],[1,2,4,11,12,13,14,19,25,57,63,
89,103,265],[1,2,3,4,13,14,16,19,21,24,63,68,90,100,266],[1,2,4,12,13,19,20,25
,71,93,103,267],[1,2,3,4,10,13,16,19,21,23,65,68,79,92,107,268],[1,2,3,4,12,14
,15,17,19,20,23,54,56,81,87,106,269],[1,2,3,4,12,13,16,19,20,21,22,23,68,71,80
,92,108,270],[1,2,3,4,12,13,14,15,16,17,19,23,55,63,87,92,110,271],[1,2,3,4,12
,13,15,16,17,19,20,23,55,71,81,92,107,272],[1,2,3,4,11,13,14,17,19,21,24,25,63
,69,82,89,90,91,104,273],[1,2,3,4,11,13,14,15,21,24,25,64,67,82,89,90,91,105,
274],[1,2,3,4,9,15,16,17,19,20,23,52,56,75,92,106,275],[1,4,14,20,24,25,53,88,
93,104,276],[1,2,3,4,15,17,19,20,24,25,56,88,93,105,277],[1,2,3,4,12,15,16,17,
19,20,21,22,23,56,70,76,80,87,92,109,278],[1,2,3,4,10,12,15,16,17,19,21,23,62,
70,77,79,87,92,106,279],[1,2,4,10,12,13,19,20,22,23,51,71,74,77,108,280],[1,2,
4,9,10,12,13,19,22,23,50,65,73,75,76,77,108,281],[1,2,4,10,12,13,19,20,22,65,
71,74,76,101,282],[1,2,3,4,9,10,15,16,19,22,23,52,62,73,75,79,80,109,283],[1,2
,3,4,10,12,13,15,16,17,23,51,55,77,79,110,284],[1,2,3,4,12,13,14,15,16,17,19,
22,55,63,76,80,101,285],[1,2,4,9,12,13,14,19,23,50,63,75,81,110,286],[1,2,3,4,
10,12,13,15,16,17,19,22,23,55,65,74,79,80,81,108,287],[1,2,4,10,12,13,19,20,23
,65,71,77,81,110,288],[1,2,4,12,13,14,19,20,22,23,63,71,76,81,108,289],[1,2,3,
4,10,12,14,15,17,19,22,23,54,62,74,76,77,81,109,290],[1,3,4,14,20,21,24,25,53,
58,90,94,104,291],[1,3,4,14,20,21,24,25,53,59,90,95,104,292],[1,2,3,4,13,14,19
,21,25,58,63,91,95,112,293],[1,2,3,4,13,14,19,21,25,59,63,91,94,112,294],[1,2,
3,4,13,14,16,19,21,25,63,68,94,95,103,295],[1,2,3,4,11,12,14,15,17,21,25,54,67
,89,94,95,111,296],[1,2,3,4,13,14,15,16,18,21,25,60,64,91,94,95,111,297],[1,2,
3,4,12,14,15,16,17,18,21,24,25,54,60,90,94,95,105,298],[1,3,4,11,14,17,20,21,
25,53,69,89,94,95,112,299],[1,2,3,4,11,12,13,21,25,57,66,86,91,113,300],[1,2,3
,4,11,15,21,24,25,67,78,85,86,105,301],[1,3,4,11,14,17,21,24,66,69,85,90,102,
302],[1,3,4,11,14,17,21,25,49,69,86,89,113,303],[1,2,3,4,11,13,16,21,24,25,66,
68,82,85,86,91,114,304],[1,3,4,11,14,17,21,24,25,66,69,78,86,89,90,114,305],[1
,2,3,4,15,16,18,21,24,25,60,83,84,85,105,306],[1,3,4,11,14,17,21,25,66,69,83,
94,113,307],[1,3,4,11,14,17,21,25,66,69,84,95,113,308],[1,3,4,11,14,17,18,21,
25,69,72,86,94,95,115,309],[1,2,3,4,13,16,18,21,25,68,72,83,84,91,115,310],[1,
2,3,4,11,15,16,18,21,25,60,67,83,84,86,111,311],[1,3,4,11,14,21,25,59,66,84,86
,89,94,115,312],[1,3,4,11,14,21,25,58,66,83,86,89,95,115,313],[1,3,4,14,18,21,
24,25,58,72,84,85,90,94,114,314],[1,3,4,14,18,21,24,25,59,72,83,85,90,95,114,
315],[1,2,4,11,13,24,78,82,96,100,102,316],[1,2,3,4,13,21,25,84,91,98,103,115,
317],[1,2,3,4,13,21,25,83,91,97,103,115,318],[1,3,4,14,21,24,25,84,94,97,104,
114,319],[1,3,4,14,21,24,25,83,95,98,104,114,320],[1,3,4,14,21,24,25,83,90,94,
99,112,114,115,321],[1,3,4,14,21,24,25,84,90,95,99,112,114,115,322],[1,3,4,11,
14,21,25,86,89,95,97,112,113,115,323],[1,3,4,11,14,21,25,86,89,94,98,112,113,
115,324],[1,3,4,14,21,24,25,85,94,95,99,104,115,325],[1,4,11,14,24,25,78,89,99
,104,113,326],[1,3,4,14,21,24,25,85,90,96,104,114,327],[1,2,3,4,13,21,24,25,85
,91,99,100,114,328],[1,2,3,4,11,13,21,24,25,82,86,91,99,103,113,114,329],[1,3,
4,11,14,21,24,25,86,89,90,99,102,104,114,330],[1,2,4,9,12,13,22,23,50,107,108,
331],[1,2,4,10,13,19,22,23,65,101,108,332],[1,2,3,4,9,15,16,24,25,52,105,111,
333],[1,2,3,4,13,14,15,25,64,103,111,112,334],[1,2,3,4,12,14,15,17,24,25,54,
104,105,111,112,335],[1,2,3,4,13,14,15,24,25,64,100,103,104,105,336],[1,2,3,4,
13,14,15,23,64,106,107,110,337],[1,2,3,4,12,13,15,16,17,22,23,55,106,107,108,
109,338],[1,2,4,10,13,19,22,23,65,108,110,339],[1,2,3,4,13,14,15,22,23,64,101,
108,109,110,340],[1,2,3,4,11,15,21,25,67,111,113,115,341],[1,2,3,4,15,16,18,21
,24,25,60,105,111,114,115,342],[1,2,3,4,11,15,21,24,25,67,102,105,113,114,343]
,[1,2,3,4,15,24,25,96,99,105,344],[1,2,3,4,15,24,25,97,98,99,105,111,345],[1,2
,4,13,22,23,24,100,108,346],[1,2,4,13,22,23,101,107,108,347],[1,4,14,24,25,104
,348],[1,2,3,4,15,23,24,25,105,106,349],[1,2,4,13,22,23,25,103,108,350],[1,2,4
,13,22,23,107,108,110,351],[1,2,4,13,24,100,116,352],[1,2,3,4,15,24,25,105,117
,353],[1,4,14,24,25,104,117,354],[1,2,4,13,25,103,117,355],[1,4,14,24,25,104,
116,356],[1,2,3,4,15,24,25,105,116,357],[1,4,20,24,88,96,116,358],[1,4,20,25,
93,97,117,359],[1,4,20,25,93,98,117,360],[1,4,20,24,25,88,99,116,361],[1,4,11,
20,24,78,88,116,362],[1,3,4,20,21,24,85,88,116,363],[1,3,4,20,21,25,83,93,117,
364],[1,3,4,20,21,25,84,93,117,365],[1,2,5,6,28,29,118,366],[1,4,5,6,8,31,32,
34,121,367],[1,3,8,37,119,368],[1,4,5,6,32,35,118,369],[1,3,6,7,33,36,124,370]
,[1,4,8,34,119,371],[1,3,5,6,8,30,33,37,121,372],[1,4,8,38,123,373],[1,4,8,38,
122,374],[1,4,6,7,35,39,124,375],[1,4,5,7,8,32,38,39,125,376],[1,4,6,7,8,35,38
,39,126,377],[1,4,6,8,35,38,120,378],[1,4,5,6,8,32,35,38,121,379],[1,4,5,6,31,
42,118,380],[1,2,5,6,28,40,118,381],[1,3,5,6,33,45,118,382],[1,4,5,6,32,41,118
,383],[1,4,5,6,8,32,42,121,384],[1,4,6,8,34,42,120,385],[1,2,5,6,8,29,40,121,
386],[1,2,5,6,8,28,44,121,387],[1,4,5,6,8,31,41,121,388],[1,4,6,8,31,46,120,
389],[1,4,5,6,8,35,41,121,390],[1,3,5,6,8,30,45,121,391],[1,3,6,8,37,45,120,
392],[1,2,6,7,29,44,124,393],[1,3,6,7,33,45,124,394],[1,3,6,7,36,47,124,395],[
1,3,6,7,36,47,124,396],[1,3,6,7,8,33,47,126,397],[1,3,6,7,8,36,45,126,398],[1,
4,8,34,46,122,399],[1,4,8,34,46,123,400],[1,4,5,7,8,32,46,125,401],[1,4,5,7,8,
34,41,125,402],[1,4,8,38,46,119,403],[1,4,7,8,39,46,127,404],[1,2,5,6,40,44,
118,405],[1,2,8,43,119,406],[1,2,6,8,43,44,120,407],[1,2,5,6,8,40,43,44,121,
408],[1,4,5,6,8,41,42,46,121,409],[1,3,6,7,45,47,124,410],[1,4,8,34,128,411],[
1,3,8,37,128,412],[1,2,8,43,128,413],[1,2,22,26,130,414],[1,4,24,26,132,415],[
1,2,23,26,130,416],[1,4,25,26,132,417],[1,4,24,27,134,418],[1,4,25,27,134,419]
,[1,2,9,26,136,420],[1,4,11,26,135,421],[1,2,4,13,26,135,136,422],[1,2,10,26,
136,423],[1,2,4,12,26,135,136,424],[1,2,3,4,15,26,130,131,135,425],[1,4,14,26,
132,135,426],[1,2,3,4,15,26,131,132,136,427],[1,2,4,12,26,132,136,428],[1,2,4,
13,26,130,132,136,429],[1,2,3,16,26,131,136,430],[1,3,4,17,26,131,132,135,431]
,[1,3,4,21,26,131,135,432],[1,2,4,19,26,132,136,433],[1,3,4,21,27,133,134,137,
434],[1,4,25,26,135,435],[1,2,23,26,136,436],[1,4,24,26,135,437],[1,2,22,26,
136,438],[1,6,48,439],[1,8,48,440],[1,7,48,441],[1,5,48,442],[1,6,48,443],[1,3
,138,444],[1,2,5,9,10,22,28,73,139,445],[1,2,6,9,10,22,29,73,140,446],[1,2,6,9
,10,22,29,73,141,447],[1,2,4,6,10,12,22,31,74,140,448],[1,2,4,5,9,19,23,32,75,
139,449],[1,2,4,6,11,13,24,29,82,144,450],[1,4,6,11,24,31,78,144,451],[1,2,4,6
,10,12,23,35,77,140,452],[1,2,3,6,10,16,23,33,79,140,453],[1,2,4,8,10,12,22,34
,74,143,454],[1,2,4,8,9,19,23,34,75,145,455],[1,4,8,20,24,34,88,147,456],[1,2,
4,6,9,19,23,35,75,141,457],[1,2,3,8,10,16,23,37,79,143,458],[1,3,4,6,11,21,25,
33,86,144,459],[1,4,6,11,14,25,35,89,144,460],[1,2,3,7,10,16,23,36,79,146,461]
,[1,4,7,11,14,25,39,89,150,462],[1,3,4,7,14,21,24,36,90,150,463],[1,2,4,8,10,
12,23,38,77,143,464],[1,3,4,7,14,21,25,36,94,150,465],[1,3,4,7,14,21,25,36,95,
150,466],[1,2,4,7,9,19,23,39,75,142,467],[1,4,8,20,25,38,93,147,468],[1,3,4,8,
11,21,25,37,86,148,469],[1,2,4,7,10,12,23,39,77,146,470],[1,2,4,8,9,19,23,38,
75,145,471],[1,4,8,11,14,25,38,89,148,472],[1,4,7,20,25,39,93,151,473],[1,2,5,
9,10,22,28,40,73,153,168,199,474],[1,2,3,4,5,16,19,22,30,40,41,80,158,175,199,
475],[1,2,3,5,10,16,23,30,40,79,155,175,201,476],[1,2,4,5,12,19,23,32,40,41,81
,158,174,201,477],[1,2,4,5,12,19,23,32,40,41,81,162,180,201,478],[1,2,4,5,10,
12,22,32,40,74,155,174,199,479],[1,2,4,6,9,19,23,31,44,75,156,177,200,480],[1,
2,4,6,12,19,23,35,42,44,87,163,188,200,481],[1,2,4,5,10,12,23,28,40,41,77,162,
168,201,482],[1,2,4,5,12,19,22,32,40,41,76,162,180,199,483],[1,2,4,5,9,19,23,
32,40,75,153,180,201,484],[1,2,4,5,10,12,23,32,40,77,155,174,201,485],[1,2,3,6
,10,16,23,33,44,79,159,182,200,486],[1,2,3,4,6,16,19,23,35,44,45,92,166,195,
200,487],[1,2,3,4,6,16,19,23,33,42,44,92,163,182,204,488],[1,2,3,4,6,16,19,23,
31,44,45,92,166,177,204,489],[1,2,3,4,5,13,21,25,30,40,41,91,160,181,202,490],
[1,2,3,4,5,16,19,23,30,40,41,92,158,175,201,491],[1,4,5,11,14,25,32,41,89,157,
171,202,492],[1,4,5,20,25,32,41,93,161,190,202,493],[1,2,4,5,12,19,23,32,40,41
,87,162,180,201,494],[1,3,4,5,11,21,25,30,41,86,157,181,202,495],[1,2,4,8,9,19
,23,38,43,75,154,194,203,496],[1,2,4,6,9,19,23,35,44,75,156,195,204,497],[1,2,
4,6,10,12,23,35,44,77,159,188,204,498],[1,2,3,4,8,16,19,23,37,43,46,92,164,193
,203,499],[1,2,4,5,9,12,13,40,50,139,500],[1,2,4,6,10,13,42,51,140,501],[1,2,3
,4,5,9,15,16,41,52,139,502],[1,4,6,11,42,49,144,503],[1,2,3,4,6,10,15,19,45,62
,140,504],[1,2,4,6,10,13,19,44,65,140,505],[1,2,4,8,10,13,19,43,65,143,506],[1
,2,4,6,9,12,13,44,50,141,507],[1,2,4,8,10,13,46,51,143,508],[1,3,4,6,11,21,45,
66,144,509],[1,2,3,4,6,11,15,21,44,67,144,510],[1,2,3,4,8,9,15,16,46,52,145,
511],[1,4,8,14,20,46,53,147,512],[1,4,8,11,46,49,148,513],[1,2,3,4,7,10,15,19,
47,62,146,514],[1,2,3,4,7,13,14,15,47,64,150,515],[1,3,4,7,14,21,47,58,150,516
],[1,3,4,7,14,21,47,59,150,517],[1,3,4,7,17,18,21,47,61,149,518],[1,3,4,8,18,
21,46,72,152,519],[1,4,5,11,41,49,157,520],[1,2,4,5,10,13,40,41,51,155,160,521
],[1,2,4,5,9,12,13,40,41,50,153,160,162,522],[1,2,4,5,10,13,19,40,41,65,155,
158,160,523],[1,2,4,5,11,12,13,40,41,57,157,160,162,524],[1,2,4,5,12,13,19,20,
40,41,71,158,160,161,162,525],[1,2,3,4,6,9,15,16,42,44,45,52,156,165,166,526],
[1,2,3,4,6,10,15,19,42,44,45,62,159,163,165,527],[1,2,4,5,9,12,13,28,32,40,50,
153,173,174,528],[1,2,3,4,5,9,15,16,30,32,40,52,153,170,175,529],[1,4,5,14,20,
32,41,53,161,171,190,530],[1,2,3,4,5,12,14,15,17,30,32,40,41,54,162,170,171,
174,176,531],[1,2,3,4,5,12,13,15,16,17,30,32,40,41,55,160,170,174,175,176,532]
,[1,2,3,4,5,12,13,15,16,17,28,30,32,40,41,55,162,169,173,175,176,533],[1,2,3,4
,5,15,17,19,20,28,30,32,41,56,161,169,176,179,190,534],[1,2,3,4,5,15,17,19,20,
30,32,40,41,56,158,170,176,180,190,535],[1,2,4,5,10,13,28,32,40,51,155,168,173
,536],[1,2,3,4,5,10,15,19,28,30,32,40,41,62,158,168,169,170,179,537],[1,2,3,4,
5,10,15,19,30,32,40,62,155,170,180,538],[1,2,3,4,5,13,14,15,28,30,32,40,41,64,
160,169,170,171,173,539],[1,2,4,5,13,14,19,32,40,41,63,160,171,180,540],[1,2,4
,5,13,14,19,28,32,40,41,63,158,171,173,179,180,541],[1,3,4,5,11,21,30,41,66,
157,181,542],[1,2,3,4,5,11,15,21,28,30,41,67,157,169,181,543],[1,2,3,4,5,13,16
,21,30,40,41,68,160,175,181,544],[1,3,4,5,11,14,17,21,30,32,41,69,157,171,176,
181,545],[1,2,3,4,5,12,15,16,17,21,30,32,40,41,70,162,170,175,176,181,546],[1,
2,3,4,6,10,15,19,31,33,44,62,159,177,184,547],[1,2,3,4,6,15,17,19,20,31,35,42,
44,45,56,165,177,178,186,195,548],[1,2,3,4,6,12,13,15,16,17,29,31,33,35,42,44,
45,55,165,172,184,185,186,187,189,549],[1,2,3,4,6,15,17,19,20,31,33,35,42,44,
56,163,178,184,187,195,550],[1,2,4,6,9,12,13,29,35,44,50,156,188,189,551],[1,2
,3,4,6,9,15,16,31,33,44,52,156,182,184,552],[1,2,3,4,6,12,15,16,17,21,33,35,42
,44,45,70,165,182,183,187,188,553],[1,2,3,4,6,13,16,21,29,33,35,44,45,68,166,
182,183,185,189,554],[1,2,3,4,6,12,15,16,17,21,31,33,35,44,45,70,166,183,184,
186,188,555],[1,2,4,5,10,13,19,28,32,40,65,155,173,180,556],[1,2,4,5,10,13,19,
28,32,40,41,65,160,168,173,179,180,557],[1,2,3,4,8,9,15,16,34,37,43,52,154,191
,193,558],[1,2,4,5,12,13,19,20,32,40,41,71,160,174,180,190,559],[1,2,4,5,12,13
,19,20,28,32,40,41,71,162,173,174,179,190,560],[1,2,4,6,10,13,19,29,35,44,65,
159,189,195,561],[1,2,4,6,12,13,19,20,29,31,35,42,44,71,163,172,177,178,189,
562],[1,3,4,7,18,21,36,39,47,72,167,196,198,563],[1,2,3,4,8,15,17,19,20,34,37,
38,43,46,56,164,191,192,194,197,564],[1,4,6,24,42,96,565],[1,4,8,24,46,96,566]
,[1,4,8,25,46,97,567],[1,4,8,25,46,98,568],[1,2,5,9,10,22,40,73,153,155,206,
569],[1,2,4,5,9,19,23,40,41,75,153,158,205,570],[1,2,4,5,10,12,23,40,41,77,155
,162,205,571],[1,2,4,5,12,19,22,40,41,76,158,162,206,572],[1,4,5,11,24,41,78,
157,207,573],[1,2,6,9,10,22,44,73,156,159,208,574],[1,2,4,6,9,19,23,42,44,75,
156,163,209,575],[1,2,4,5,10,12,22,40,41,74,155,162,206,576],[1,2,4,5,11,13,24
,40,41,82,157,160,207,577],[1,2,4,5,12,19,23,40,41,87,158,162,205,578],[1,4,5,
20,24,41,88,161,207,579],[1,2,4,8,9,19,23,43,46,75,154,164,210,580],[1,2,3,4,6
,16,19,22,42,44,45,80,163,166,208,581],[1,2,3,6,10,16,23,44,45,79,159,166,209,
582],[1,2,3,4,5,15,22,23,30,32,40,109,170,199,205,583],[1,2,3,4,5,15,22,23,30,
32,40,109,170,201,206,584],[1,2,4,5,13,23,28,32,40,110,173,201,205,585],[1,2,4
,5,13,22,28,32,40,101,173,199,206,586],[1,2,3,4,5,15,24,25,28,30,41,105,169,
202,207,587],[1,4,5,14,24,25,32,41,104,171,202,207,588],[1,2,3,4,5,15,23,30,32
,40,106,170,201,205,589],[1,2,3,4,6,15,22,23,31,33,44,109,184,200,208,590],[1,
2,3,4,6,15,23,31,33,44,106,184,204,209,591],[1,2,4,6,13,23,29,35,44,107,189,
200,209,592],[1,2,4,5,13,22,23,28,32,40,108,173,201,206,593],[1,3,4,5,21,24,25
,30,41,114,181,202,207,594],[1,2,4,6,13,22,23,29,35,44,108,189,204,208,595],[1
,2,3,4,8,15,23,34,37,43,106,191,203,210,596],[1,2,4,5,10,12,22,28,32,40,74,168
,174,206,597],[1,2,3,5,10,16,23,28,30,40,79,168,175,205,598],[1,2,4,5,12,19,23
,32,40,81,174,180,205,599],[1,2,3,4,5,16,19,22,30,32,40,80,175,180,206,600],[1
,3,4,5,21,24,30,41,85,181,207,601],[1,2,3,4,6,16,19,22,31,33,44,80,177,182,208
,602],[1,2,3,4,6,16,19,23,33,35,44,92,182,195,209,603],[1,2,4,6,12,19,23,31,35
,44,87,177,188,209,604],[1,2,3,4,5,16,19,23,30,32,40,92,175,180,205,605],[1,3,
4,5,14,21,24,30,32,41,90,171,181,207,606],[1,2,4,5,12,19,22,32,40,76,174,180,
206,607],[1,4,5,20,24,32,41,88,190,207,608],[1,2,4,6,12,19,22,35,44,76,188,195
,208,609],[1,2,3,4,8,16,19,23,37,38,43,92,193,194,210,610],[1,4,5,24,41,96,207
,611],[1,2,4,5,13,25,40,41,103,160,202,612],[1,2,4,5,13,22,23,40,41,108,160,
199,201,613],[1,4,5,11,25,41,113,157,202,614],[1,2,4,5,13,23,40,41,110,160,201
,615],[1,2,4,5,13,23,40,41,107,160,201,616],[1,2,3,4,6,15,23,42,44,45,106,165,
200,204,617],[1,2,4,5,13,24,40,41,100,160,207,618],[1,2,4,5,13,22,40,41,101,
160,206,619],[1,2,4,5,13,23,40,41,107,160,205,620],[1,2,4,5,13,22,23,40,41,108
,160,205,206,621],[1,4,5,11,24,41,102,157,207,622],[1,2,3,4,6,15,22,23,42,44,
45,109,165,208,209,623],[1,4,5,24,25,41,99,202,207,624],[1,4,5,24,41,116,207,
625],[1,4,5,24,41,116,207,626],[1,26,27,627],[1,3,211,628],[1,5,6,8,118,120,
121,629],[1,6,7,8,120,124,126,630],[1,5,6,7,8,118,121,124,125,126,631],[1,5,6,
7,8,120,121,122,123,125,126,632],[1,5,7,8,119,125,127,633],[1,6,8,119,120,634]
,[1,6,7,8,120,127,635],[1,7,8,119,122,127,636],[1,7,8,119,123,127,637],[1,6,8,
120,128,638],[1,6,8,120,129,639],[1,8,123,128,129,640],[1,8,122,128,129,641],[
1,5,7,8,125,128,129,642],[1,2,9,48,214,643],[1,2,10,48,214,644],[1,2,4,19,48,
212,214,645],[1,2,3,4,15,48,212,213,214,646],[1,2,3,16,48,213,214,647],[1,2,22
,48,214,648],[1,2,23,48,214,649],[1,2,5,26,40,130,215,650],[1,2,6,26,44,130,
216,651],[1,4,5,26,41,132,215,652],[1,3,6,26,45,131,216,653],[1,4,5,27,41,134,
217,654],[1,3,6,26,33,131,216,655],[1,4,5,26,32,132,215,656],[1,3,5,27,30,133,
217,657],[1,4,6,26,35,132,216,658],[1,4,6,26,31,135,216,659],[1,2,5,26,28,136,
215,660],[1,2,6,26,29,136,216,661],[1,3,5,27,30,137,217,662],[1,2,5,26,40,136,
215,663],[1,4,6,26,42,135,216,664],[1,2,3,4,10,13,14,15,19,51,62,63,64,65,219,
227,228,665],[1,2,3,4,9,11,15,16,18,21,49,52,60,66,67,72,220,222,235,666],[1,2
,3,4,9,11,12,13,14,15,16,17,21,50,52,54,55,57,64,67,68,69,70,218,229,232,233,
234,667],[1,2,3,4,9,10,12,13,14,15,16,17,19,20,50,51,52,53,54,55,56,62,63,64,
65,71,221,228,229,230,231,668],[1,2,3,4,9,11,12,13,14,15,16,17,18,21,50,52,54,
55,57,58,59,60,61,64,67,68,69,70,222,223,225,226,229,232,233,669],[1,2,3,4,11,
12,13,14,15,16,17,18,21,54,55,57,58,59,60,61,64,67,68,69,70,224,225,226,233,
234,670],[1,2,4,10,11,12,13,24,49,51,57,78,82,96,100,102,257,259,316,671],[1,3
,4,14,18,20,21,24,25,53,59,72,83,85,90,95,96,98,104,114,292,315,320,327,672],[
1,3,4,14,18,20,21,24,25,53,58,72,84,85,90,94,96,97,104,114,291,314,319,327,673
],[1,2,3,4,10,13,16,18,21,25,51,68,72,83,84,91,97,98,103,115,264,310,317,318,
674],[1,2,3,4,11,12,13,14,19,21,25,57,59,63,66,84,86,89,91,94,98,103,112,113,
115,265,294,300,312,317,324,675],[1,2,3,4,11,12,13,14,19,21,25,57,58,63,66,83,
86,89,91,95,97,103,112,113,115,265,293,300,313,318,323,676],[1,3,4,11,14,17,18
,20,21,25,49,53,69,72,86,89,94,95,97,98,112,113,115,299,303,309,323,324,677],[
1,3,4,11,14,17,20,21,24,25,53,59,66,69,78,84,86,89,90,94,95,97,99,104,112,113,
114,115,292,299,305,308,312,319,322,323,326,678],[1,3,4,11,14,17,20,21,24,25,
53,58,66,69,78,83,86,89,90,94,95,98,99,104,112,113,114,115,291,299,305,307,313
,320,321,324,326,679],[1,2,3,4,13,14,16,18,19,21,24,25,58,59,63,68,72,83,84,85
,90,91,94,95,99,100,112,114,115,266,293,294,310,314,315,321,322,328,680],[1,3,
4,11,14,17,18,20,21,24,25,53,58,59,66,69,72,83,84,85,86,89,90,94,95,99,102,104
,112,114,115,291,292,299,302,309,312,313,314,315,321,322,325,330,681],[1,2,3,4
,11,13,14,16,17,18,19,21,24,25,58,63,66,68,69,72,82,83,84,85,86,89,90,91,94,95
,98,99,103,104,112,113,114,115,273,293,295,304,308,309,310,313,314,317,320,322
,324,325,329,682],[1,2,3,4,11,13,14,16,17,18,19,21,24,25,59,63,66,68,69,72,82,
83,84,85,86,89,90,91,94,95,97,99,103,104,112,113,114,115,273,294,295,304,307,
309,310,312,315,318,319,321,323,325,329,683],[1,2,3,4,10,11,12,13,16,21,24,25,
51,57,66,68,82,85,86,91,99,100,103,113,114,257,264,300,304,328,329,684],[1,2,3
,4,11,12,13,14,17,19,21,24,25,49,57,63,66,69,78,82,86,89,90,91,99,102,103,104,
113,114,259,265,273,300,303,305,326,329,330,685],[1,2,3,4,11,13,14,16,17,19,21
,24,25,63,66,68,69,78,82,85,86,89,90,91,96,99,100,102,104,114,266,273,302,304,
305,316,327,328,330,686],[1,2,4,9,11,12,13,24,49,50,57,78,82,102,218,238,259,
687],[1,2,4,9,10,11,12,13,22,24,50,51,57,73,74,82,100,101,218,236,237,257,258,
688],[1,2,4,10,11,12,13,19,23,24,51,57,65,77,82,87,100,107,219,239,240,257,263
,689],[1,2,4,9,10,12,13,19,20,22,23,24,50,65,71,74,75,76,87,88,100,101,107,221
,237,240,241,260,262,282,690],[1,2,3,4,9,11,12,13,21,25,50,57,66,86,91,113,218
,254,300,691],[1,2,3,4,11,12,13,14,15,16,17,21,24,25,54,55,57,66,69,70,85,86,
90,91,102,113,234,238,255,300,302,692],[1,2,3,4,11,12,13,14,15,16,17,21,24,25,
49,54,55,57,69,70,78,82,86,89,102,113,234,254,255,259,303,693],[1,2,3,4,11,12,
13,14,15,16,17,19,21,22,25,54,55,57,63,69,70,76,80,89,101,103,234,236,244,265,
285,694],[1,2,4,9,11,12,13,14,19,23,25,50,57,63,75,81,89,103,110,218,242,247,
265,286,695],[1,2,3,4,10,11,12,13,14,15,16,17,21,23,24,51,54,55,57,69,70,77,79
,82,100,110,234,242,243,257,284,696],[1,2,3,4,10,13,16,19,21,23,25,51,65,68,79
,91,92,103,107,219,239,249,264,268,697],[1,2,4,10,11,12,13,14,19,23,25,57,63,
65,77,87,89,103,107,227,246,249,263,265,698],[1,2,3,4,10,13,14,16,19,21,23,24,
63,65,68,79,90,92,100,107,227,240,246,266,268,699],[1,2,3,4,9,12,13,14,15,16,
17,19,21,22,23,24,50,52,55,63,68,70,75,76,80,81,90,100,101,110,232,237,243,245
,266,285,286,700],[1,2,3,4,9,10,12,13,15,16,17,21,22,23,25,50,51,52,55,68,70,
73,74,77,79,91,101,103,110,232,244,245,247,258,264,284,701],[1,2,3,4,10,12,13,
15,16,17,19,20,22,23,25,55,56,62,65,71,74,76,81,92,93,101,103,107,231,241,244,
249,267,272,282,702],[1,2,4,9,10,12,13,19,20,23,25,50,65,71,75,77,81,87,93,103
,107,110,221,247,248,249,262,267,288,703],[1,2,3,4,10,12,13,15,16,17,19,20,23,
24,55,56,62,65,71,77,81,88,92,100,107,110,231,240,243,248,260,272,288,704],[1,
2,3,4,10,13,14,19,21,25,58,63,65,91,95,112,227,252,293,705],[1,2,3,4,10,13,14,
19,21,25,59,63,65,91,94,112,227,252,294,706],[1,2,3,4,11,12,13,14,15,16,17,19,
21,23,25,54,55,57,63,69,70,87,89,92,103,110,234,242,251,265,271,707],[1,2,3,4,
10,12,13,15,16,17,18,21,23,25,51,55,60,61,68,70,77,79,91,103,110,225,250,251,
264,284,708],[1,2,3,4,12,13,14,15,16,17,18,19,21,23,24,55,60,61,63,68,70,87,90
,92,100,110,225,243,250,266,271,709],[1,2,3,4,9,12,13,14,15,16,17,19,21,23,25,
50,52,55,63,68,70,75,81,87,92,94,95,103,110,232,247,250,251,271,286,295,710],[
1,2,3,4,12,13,14,15,16,17,18,19,21,22,23,25,55,60,61,63,68,70,76,80,87,92,94,
95,101,103,110,225,244,245,251,271,285,295,711],[1,3,4,11,14,17,18,21,25,49,61
,69,86,89,113,224,256,303,712],[1,2,3,4,11,12,13,14,15,16,17,21,25,54,55,57,66
,69,70,84,86,91,95,113,234,254,256,300,308,713],[1,2,3,4,11,12,13,14,15,16,17,
21,25,54,55,57,66,69,70,83,86,91,94,113,234,254,256,300,307,714],[1,3,4,11,14,
17,18,21,24,25,61,66,69,83,84,85,90,94,95,102,113,224,255,256,302,307,308,715]
,[1,2,4,10,11,12,13,24,51,57,82,100,102,238,257,716],[1,2,4,11,12,13,22,24,49,
57,78,82,101,102,236,238,259,717],[1,2,4,10,11,12,13,23,24,51,57,82,100,107,
239,257,718],[1,2,4,10,11,12,13,24,25,51,57,82,100,113,254,257,719],[1,2,3,4,
11,12,13,21,22,25,57,66,86,91,101,113,236,254,300,720],[1,2,4,11,12,13,23,24,
25,49,57,78,82,102,110,113,242,254,259,721],[1,2,3,4,10,13,16,21,23,25,51,68,
91,103,107,239,264,722],[1,2,3,4,11,12,13,21,23,24,25,57,66,86,91,102,110,113,
238,242,300,723],[1,2,4,11,12,13,14,19,24,25,57,63,89,102,103,113,238,254,265,
724],[1,2,4,11,12,13,14,19,25,57,63,89,103,113,254,265,725],[1,2,4,11,12,13,14
,19,25,57,63,89,103,113,254,265,726],[1,2,4,11,12,13,14,19,25,57,63,89,103,112
,252,265,727],[1,2,3,4,11,12,13,21,23,25,57,66,86,91,110,113,242,254,300,728],
[1,2,3,4,11,12,13,21,23,25,57,66,86,91,110,113,242,254,300,729],[1,2,3,4,13,14
,16,19,21,24,25,63,68,90,100,112,252,266,730],[1,2,3,4,13,14,19,21,23,25,58,63
,91,95,107,112,246,252,293,731],[1,2,3,4,13,14,19,21,23,25,59,63,91,94,107,112
,246,252,294,732],[1,2,3,4,9,15,16,24,25,52,96,97,98,99,105,111,333,344,345,
733],[1,2,3,4,10,13,14,15,19,22,23,51,62,63,64,65,101,108,109,110,228,332,339,
340,734],[1,2,3,4,9,12,13,14,15,16,17,24,25,50,52,54,55,64,100,103,104,105,111
,112,229,333,334,335,336,735],[1,2,3,4,9,11,15,16,18,21,24,25,52,60,67,102,105
,111,113,114,115,222,333,341,342,343,736],[1,2,3,4,9,12,13,14,15,16,17,22,23,
50,52,54,55,64,101,106,107,108,109,110,229,331,337,338,340,737],[1,2,3,4,13,14
,15,24,25,64,100,103,104,105,336,348,738],[1,2,3,4,13,14,15,23,24,25,64,100,
103,104,105,106,107,110,336,337,349,739],[1,2,3,4,13,14,15,22,23,24,25,64,100,
101,103,104,105,108,109,110,336,340,346,350,740],[1,2,3,4,13,14,15,22,23,64,
101,106,107,108,109,110,337,340,347,351,741],[1,2,4,9,10,11,12,13,19,20,22,23,
50,57,65,71,73,75,76,77,87,107,108,218,221,261,262,263,281,331,742],[1,2,4,9,
10,12,13,19,20,22,23,50,51,65,71,73,74,75,76,77,101,108,219,221,258,280,281,
282,332,743],[1,2,3,4,9,11,15,16,18,21,24,25,52,60,67,78,83,84,85,86,105,111,
222,301,306,311,333,744],[1,2,3,4,11,12,14,15,16,17,18,21,25,49,54,58,59,60,61
,66,67,69,70,83,84,86,89,94,95,111,113,115,220,226,296,303,307,308,311,312,313
,341,745],[1,2,3,4,11,12,14,15,16,17,18,21,24,25,54,58,59,60,61,66,67,69,70,72
,83,84,85,90,94,95,102,105,113,114,226,235,298,302,306,307,308,314,315,343,746
],[1,2,3,4,11,12,13,14,15,16,17,18,21,25,55,57,60,64,66,67,68,69,70,72,83,84,
86,91,94,95,111,113,115,233,235,297,300,307,308,309,310,311,341,747],[1,2,3,4,
11,12,14,15,16,17,18,21,24,25,54,58,59,60,61,66,67,69,70,72,78,83,84,85,86,89,
90,94,95,105,111,114,115,226,235,296,298,301,305,309,311,312,313,314,315,342,
748],[1,2,3,4,11,13,14,15,16,18,21,24,25,58,59,60,64,66,67,68,72,82,83,84,85,
86,89,90,91,94,95,105,111,114,115,223,235,274,297,304,306,310,311,312,313,314,
315,342,749],[1,2,3,4,12,13,14,15,16,17,18,19,20,21,24,25,53,54,56,58,59,60,63
,64,68,71,90,94,95,100,103,104,105,223,230,266,291,292,295,298,336,750],[1,2,3
,4,10,13,14,15,16,18,19,21,25,51,58,59,60,62,63,64,65,68,91,94,95,103,111,112,
223,228,264,293,294,295,297,334,751],[1,2,3,4,11,12,13,14,15,16,17,19,20,21,25
,53,54,55,56,57,63,64,67,68,69,70,71,89,94,95,103,111,112,230,233,265,295,296,
299,334,752],[1,2,3,4,9,11,12,13,14,15,16,17,18,21,24,25,50,52,54,55,60,64,67,
82,89,90,91,94,95,105,111,222,229,274,296,297,298,333,753],[1,2,3,4,11,12,13,
14,15,16,17,18,19,20,21,24,25,53,54,56,58,59,60,61,63,64,67,69,70,71,82,89,90,
91,94,95,104,105,111,112,226,230,273,274,291,292,293,294,296,297,298,299,335,
754],[1,2,3,4,12,13,14,15,17,19,20,24,25,53,54,56,63,64,71,88,93,100,103,104,
105,230,260,267,276,277,336,755],[1,2,3,4,10,11,12,13,14,15,16,17,19,21,24,25,
51,55,57,62,63,64,65,67,68,69,70,82,89,90,91,100,103,104,105,228,233,257,264,
265,266,273,274,336,756],[1,2,3,4,9,10,12,13,15,16,17,19,20,21,22,23,50,52,55,
65,68,70,71,74,79,80,81,92,107,108,221,232,268,270,272,287,331,757],[1,2,3,4,
11,12,13,14,15,16,17,19,20,21,22,23,53,54,55,56,57,63,64,67,68,69,70,71,76,80,
87,92,101,108,109,110,230,233,261,270,271,278,285,340,758],[1,2,3,4,10,11,12,
13,14,15,16,17,19,21,23,51,55,57,62,63,64,65,67,68,69,70,77,79,87,92,106,107,
110,228,233,263,268,271,279,284,337,759],[1,2,3,4,9,12,13,14,15,16,17,19,20,23
,50,52,53,54,55,56,63,64,71,75,81,87,92,106,107,110,229,230,262,269,271,272,
275,286,337,760],[1,2,3,4,9,10,12,13,15,16,17,19,20,21,22,23,50,52,55,56,62,65
,68,70,71,73,75,76,77,79,80,87,92,106,107,108,109,231,232,262,268,270,275,278,
279,281,283,338,761],[1,2,3,4,10,11,12,13,14,15,16,17,19,20,21,22,23,54,55,56,
57,62,65,69,70,71,74,76,77,79,80,81,87,92,106,107,108,109,231,234,261,263,269,
272,278,279,287,290,338,762],[1,2,3,4,10,12,13,14,15,16,17,19,20,22,23,55,56,
62,63,65,71,74,76,79,80,81,101,108,227,231,282,285,287,289,332,763],[1,2,4,9,
10,12,13,14,19,20,22,23,50,63,65,71,73,75,76,77,81,108,110,221,227,281,286,288
,289,339,764],[1,2,3,4,10,12,13,15,16,17,19,20,22,23,51,55,56,62,65,71,74,77,
79,80,81,108,110,219,231,280,284,287,288,339,765],[1,2,3,4,10,12,13,14,15,17,
19,20,22,23,51,53,54,56,62,63,64,65,71,74,76,77,81,101,108,109,110,228,230,280
,282,288,289,290,340,766],[1,2,3,4,9,10,12,13,14,15,16,17,19,22,23,50,51,52,54
,55,62,63,64,65,73,74,75,76,77,79,80,81,101,108,109,110,228,229,258,281,283,
284,285,286,287,290,340,767],[1,2,3,4,11,12,13,14,15,16,17,21,24,25,49,55,57,
64,66,67,68,69,70,78,82,85,86,89,90,91,102,105,113,114,220,233,259,274,300,301
,302,303,304,305,343,768],[1,2,4,10,11,12,13,19,20,22,23,24,51,57,71,74,76,77,
82,87,88,100,108,257,260,261,280,346,769],[1,3,4,14,20,21,24,25,53,59,88,90,93
,95,104,276,292,348,770],[1,3,4,14,20,21,24,25,53,58,88,90,93,94,104,276,291,
348,771],[1,2,3,4,12,13,14,16,19,20,21,22,23,24,63,68,71,76,80,81,88,90,92,100
,108,260,266,270,289,346,772],[1,2,4,11,12,13,14,19,20,22,23,25,57,63,71,76,81
,87,89,93,103,108,261,265,267,289,350,773],[1,2,3,4,10,12,13,16,19,20,21,22,23
,25,51,68,71,74,77,80,91,92,93,103,108,264,267,270,280,350,774],[1,2,3,4,13,14
,15,23,64,106,107,110,337,775],[1,2,3,4,13,14,15,22,23,25,64,101,103,106,107,
108,109,110,111,112,334,337,340,776],[1,2,3,4,13,14,15,22,23,24,25,64,100,101,
103,104,105,108,109,110,111,112,334,336,340,777],[1,2,4,10,11,12,13,24,51,57,
82,100,116,257,352,778],[1,2,4,11,12,13,14,19,25,57,63,89,103,117,265,355,779]
,[1,2,3,4,10,13,16,21,25,51,68,91,103,117,264,355,780],[1,3,4,14,20,21,24,25,
53,58,90,94,104,116,117,291,354,356,781],[1,3,4,14,20,21,24,25,53,59,90,95,104
,116,117,292,354,356,782],[1,2,3,4,13,14,16,19,21,24,63,68,90,100,116,266,352,
783],[1,2,3,4,11,12,13,14,15,16,17,21,22,23,55,57,64,67,68,69,70,101,108,109,
110,233,236,242,245,340,784],[1,2,3,4,10,13,14,15,19,23,51,62,63,64,65,106,107
,110,228,239,246,337,785],[1,2,3,4,12,13,14,15,17,19,20,22,23,53,54,56,63,64,
71,101,106,107,108,109,110,230,241,248,337,340,786],[1,2,3,4,10,13,14,15,19,23
,24,25,51,62,63,64,65,100,103,104,105,106,107,110,228,240,249,336,337,787],[1,
2,3,4,9,12,13,14,15,16,17,22,23,24,25,50,52,54,55,64,100,101,103,104,105,108,
109,110,229,237,243,244,247,336,340,788],[1,2,3,4,11,12,13,14,15,16,17,21,23,
55,57,64,67,68,69,70,106,107,110,233,242,250,337,789],[1,2,3,4,10,13,14,15,19,
25,51,62,63,64,65,103,111,112,228,252,334,790],[1,2,3,4,11,12,13,14,15,16,17,
21,23,24,25,55,57,64,67,68,69,70,100,103,104,105,106,107,110,233,243,251,336,
337,791],[1,2,3,4,11,12,13,14,15,16,17,21,22,23,25,55,57,64,67,68,69,70,101,
103,108,109,110,111,112,233,244,251,334,340,792],[1,2,3,4,13,14,15,16,18,21,22
,23,58,59,60,64,68,101,106,107,108,109,110,223,245,250,337,340,793],[1,2,3,4,9
,12,13,14,15,16,17,23,25,50,52,54,55,64,103,106,107,110,111,112,229,247,251,
334,337,794],[1,2,3,4,12,13,14,15,17,19,20,23,25,53,54,56,63,64,71,103,106,107
,110,111,112,230,253,334,337,795],[1,2,3,4,11,12,13,14,15,16,17,21,24,25,55,57
,64,67,68,69,70,102,105,113,114,233,238,254,255,343,796],[1,2,3,4,11,12,13,14,
15,16,17,21,25,55,57,64,67,68,69,70,111,113,115,233,254,256,341,797],[1,2,3,4,
11,12,14,15,16,17,18,21,24,25,54,58,59,60,61,67,69,70,102,105,111,113,114,115,
226,255,256,341,343,798],[1,2,4,9,10,12,13,19,20,22,23,50,51,71,73,74,75,77,87
,101,107,108,239,241,258,262,280,331,347,799],[1,2,4,10,11,12,13,19,20,22,23,
57,65,71,74,76,77,87,101,107,108,236,241,261,263,282,332,347,800],[1,2,4,9,12,
13,14,19,20,22,23,50,63,71,75,76,81,87,107,108,110,246,248,262,286,289,331,351
,801],[1,2,4,10,11,12,13,19,20,22,23,57,65,71,76,77,81,87,107,108,110,242,248,
261,263,288,339,351,802],[1,2,3,4,10,12,13,15,16,17,19,20,22,23,51,55,71,74,77
,79,81,92,106,107,108,109,110,239,248,272,280,284,338,351,803],[1,2,3,4,10,12,
13,16,19,20,21,22,23,65,68,71,74,76,79,80,92,101,107,108,110,245,248,268,270,
282,339,347,804],[1,2,3,4,12,13,14,15,16,17,19,20,22,23,55,63,71,76,80,81,92,
101,106,107,108,109,241,246,272,285,289,338,347,805],[1,2,3,4,10,12,13,16,19,
20,21,22,23,65,68,71,77,79,80,81,92,101,107,108,110,241,245,268,270,288,332,
351,806],[1,2,3,4,9,15,16,17,19,20,23,24,25,52,56,75,88,92,93,105,106,111,253,
275,277,333,349,807],[1,2,3,4,12,14,15,17,19,20,23,24,25,54,56,81,87,88,93,104
,105,106,111,112,253,269,277,335,349,808],[1,2,4,9,10,12,13,19,22,23,24,50,65,
73,75,76,77,100,101,107,108,237,240,281,331,332,346,347,809],[1,2,4,9,10,12,13
,19,22,23,25,50,65,73,75,76,77,103,107,108,110,247,249,281,331,339,350,351,810
],[1,2,3,4,10,12,13,15,16,17,19,22,23,24,55,65,74,79,80,81,100,106,107,108,109
,110,240,243,287,338,339,346,351,811],[1,2,3,4,10,12,13,15,16,17,19,22,23,25,
55,65,74,79,80,81,101,103,106,107,108,109,244,249,287,332,338,347,350,812],[1,
2,4,11,12,13,19,20,24,71,78,82,88,96,100,102,116,260,316,352,358,362,813],[1,2
,3,4,12,13,19,20,21,24,25,71,85,88,91,99,100,114,116,260,328,352,361,363,814],
[1,3,4,14,20,21,24,25,53,85,88,90,93,96,104,114,116,276,327,356,358,363,815],[
1,4,11,14,20,24,25,53,78,88,89,93,99,104,113,116,276,326,356,361,362,816],[1,2
,3,4,12,13,19,20,21,25,71,83,91,93,97,103,115,117,267,318,355,359,364,817],[1,
2,3,4,12,13,19,20,21,25,71,84,91,93,98,103,115,117,267,317,355,360,365,818],[1
,3,4,14,20,21,24,25,53,84,88,93,94,97,104,114,117,276,319,354,359,365,819],[1,
3,4,14,20,21,24,25,53,83,88,93,95,98,104,114,117,276,320,354,360,364,820],[1,2
,4,11,13,22,23,24,78,82,96,100,102,108,116,316,346,352,821],[1,3,4,14,21,24,25
,84,94,97,104,114,116,319,348,356,822],[1,3,4,14,21,24,25,83,95,98,104,114,116
,320,348,356,823],[1,3,4,14,21,24,25,85,90,96,104,114,117,327,348,354,824],[1,
4,11,14,24,25,78,89,99,104,113,117,326,348,354,825],[1,2,3,4,13,21,22,23,25,83
,91,97,103,108,115,117,318,350,355,826],[1,2,3,4,13,21,22,23,25,84,91,98,103,
108,115,117,317,350,355,827],[1,2,3,4,13,21,22,23,24,25,85,91,99,100,108,114,
116,328,346,352,828],[1,2,3,4,11,13,14,15,21,24,25,64,67,78,82,85,86,89,90,91,
96,99,100,102,103,104,105,113,114,274,301,316,326,327,328,329,330,336,343,344,
829],[1,2,3,4,13,14,15,16,18,21,24,25,60,64,83,84,85,91,94,95,97,98,99,100,103
,104,105,111,114,115,297,306,317,318,319,320,325,328,336,342,345,830],[1,2,3,4
,12,14,15,16,17,18,21,24,25,54,60,83,84,85,90,94,95,96,99,104,105,111,112,114,
115,298,306,321,322,325,327,335,342,344,831],[1,2,3,4,11,12,14,15,17,21,24,25,
54,67,78,85,86,89,94,95,97,98,99,104,105,111,112,113,115,296,301,323,324,325,
326,335,341,345,832],[1,2,3,4,11,12,14,15,16,17,18,21,24,25,54,60,67,83,84,86,
89,90,94,95,97,98,99,102,104,105,111,112,113,114,115,296,298,311,319,320,321,
322,323,324,330,335,342,343,345,833],[1,2,3,4,11,13,14,15,16,18,21,24,25,60,64
,67,82,83,84,86,89,90,91,94,95,97,98,99,103,105,111,112,113,114,115,274,297,
311,317,318,321,322,323,324,329,334,341,342,345,834],[1,2,3,4,13,14,15,24,25,
64,100,103,104,105,116,336,352,356,357,835],[1,2,3,4,13,14,15,24,25,64,100,103
,104,105,117,336,353,354,355,836],[1,2,3,4,11,15,17,19,20,21,24,25,56,67,78,85
,86,88,93,105,116,277,301,357,362,363,837],[1,2,3,4,15,16,17,18,19,20,21,24,25
,56,60,83,84,85,88,93,105,117,277,306,353,364,365,838],[1,2,3,4,15,23,24,25,97
,98,99,105,106,111,116,345,349,357,839],[1,2,3,4,15,23,24,25,96,99,105,106,117
,344,349,353,840],[1,2,3,4,12,14,15,17,24,25,54,104,105,111,112,116,117,335,
353,357,841],[1,2,3,4,9,15,16,24,25,52,105,111,116,117,333,353,357,842],[1,2,3
,4,15,17,19,20,24,25,56,88,93,97,98,99,105,111,117,277,345,353,359,360,843],[1
,2,3,4,15,17,19,20,24,25,56,88,93,96,99,105,116,277,344,357,358,361,844],[1,2,
3,4,15,16,18,21,23,24,25,60,83,84,85,105,106,116,306,349,357,845],[1,2,3,4,11,
15,21,23,24,25,67,78,85,86,105,106,117,301,349,353,846],[1,26,48,847],[1,2,5,6
,22,28,29,118,366,848],[1,2,5,6,23,28,29,118,366,849],[1,4,8,24,34,119,371,850
],[1,4,8,25,34,119,371,851],[1,4,5,6,25,32,35,118,369,852],[1,4,8,25,38,123,
373,853],[1,4,8,25,38,122,374,854],[1,4,6,7,25,35,39,124,375,855],[1,4,6,7,25,
35,39,124,375,856],[1,2,5,6,9,40,118,139,141,153,857],[1,2,8,9,43,123,145,154,
858],[1,2,8,9,43,122,145,154,859],[1,2,5,7,8,9,43,125,139,142,154,860],[1,2,6,
7,9,44,124,141,142,156,861],[1,2,5,7,8,9,40,125,142,145,153,862],[1,2,6,7,8,9,
43,126,141,142,145,154,863],[1,2,6,7,8,9,44,126,142,145,156,864],[1,2,5,6,8,10
,40,121,140,143,155,865],[1,2,5,6,8,9,44,121,139,145,156,866],[1,2,5,6,8,9,40,
121,141,145,153,867],[1,2,6,8,9,44,120,141,145,156,868],[1,2,6,7,10,44,124,140
,146,159,869],[1,2,6,7,8,10,44,126,143,146,159,870],[1,2,5,7,8,10,40,125,143,
146,155,871],[1,2,7,8,9,43,127,142,154,872],[1,4,5,6,8,11,41,121,144,148,157,
873],[1,4,5,7,8,20,41,125,147,151,161,874],[1,3,7,8,18,47,127,149,152,167,875]
,[1,2,5,6,10,28,29,40,118,168,366,381,876],[1,2,4,5,6,12,28,29,31,42,118,172,
366,380,877],[1,2,3,5,6,16,28,29,33,45,118,185,366,382,878],[1,3,4,5,6,17,31,
32,33,35,42,45,118,186,187,369,380,382,879],[1,2,4,5,6,19,28,29,32,41,118,179,
366,383,880],[1,2,4,5,6,19,28,32,35,40,41,118,179,180,369,381,383,881],[1,4,5,
6,20,31,32,35,42,118,178,369,380,882],[1,2,4,5,6,8,12,29,31,32,34,40,42,121,
172,174,367,384,386,883],[1,2,4,5,6,13,28,32,35,40,118,173,369,381,884],[1,2,3
,4,5,6,8,15,28,30,31,33,37,41,44,121,169,184,372,387,388,885],[1,3,4,5,6,8,17,
30,31,32,34,35,41,45,121,176,186,367,390,391,886],[1,2,3,5,6,8,16,29,30,33,37,
40,45,121,175,185,372,386,391,887],[1,3,4,5,6,8,17,30,32,33,35,37,41,42,121,
176,187,372,384,390,888],[1,3,4,5,6,8,17,30,31,32,35,38,41,45,121,176,186,379,
388,391,889],[1,3,4,6,8,17,31,35,37,38,45,46,120,186,192,378,389,392,890],[1,2
,4,5,6,8,19,28,31,32,34,41,44,121,177,179,367,387,388,891],[1,4,5,6,8,20,31,32
,35,38,41,42,121,178,190,379,384,388,892],[1,4,6,8,20,31,34,35,38,42,46,120,
178,197,378,385,389,893],[1,3,4,5,6,21,32,33,35,45,118,183,369,382,894],[1,4,5
,6,20,32,35,41,118,190,369,383,895],[1,3,6,7,18,33,36,47,124,196,370,395,396,
896],[1,2,3,6,7,16,29,33,36,44,45,124,182,185,370,393,394,897],[1,3,4,6,7,21,
33,35,39,45,124,183,375,394,898],[1,3,4,6,7,21,35,36,39,47,124,198,375,396,899
],[1,3,4,6,7,21,35,36,39,47,124,198,375,395,900],[1,3,4,6,7,8,21,33,35,36,38,
39,45,47,126,183,198,377,397,398,901],[1,4,8,20,34,38,46,119,197,371,403,902],
[1,2,4,5,6,8,19,28,32,35,38,41,44,121,179,195,379,387,390,903],[1,2,4,6,7,13,
29,35,39,44,124,189,375,393,904],[1,3,4,5,6,8,21,30,33,35,37,41,45,121,181,183
,372,390,391,905],[1,2,4,5,6,8,13,28,29,32,35,38,40,44,121,173,189,379,386,387
,906],[1,3,4,8,17,37,38,46,119,192,368,403,907],[1,4,8,20,34,38,46,123,197,373
,400,908],[1,4,8,20,34,38,46,122,197,374,399,909],[1,4,5,7,8,20,32,34,38,39,41
,46,125,190,197,376,401,402,910],[1,2,5,6,9,40,44,118,153,156,405,911],[1,2,8,
9,43,119,154,406,912],[1,2,6,8,9,43,44,120,154,156,407,913],[1,2,5,6,8,9,40,43
,44,121,153,154,156,408,914],[1,2,5,6,10,40,44,118,155,159,405,915],[1,2,4,5,6
,8,19,40,41,42,43,44,46,121,158,163,164,408,409,916],[1,2,3,4,8,15,34,37,43,
119,191,368,371,406,917],[1,2,4,5,6,13,28,29,32,35,40,44,118,173,189,366,369,
405,918],[1,2,4,5,6,12,32,35,40,44,118,174,188,369,405,919],[1,2,3,8,16,37,43,
119,193,368,406,920],[1,2,3,5,6,8,16,30,33,37,40,43,44,121,175,182,193,372,408
,921],[1,2,3,4,5,6,8,15,30,31,32,33,34,37,40,43,44,121,170,184,191,367,372,408
,922],[1,3,4,5,6,8,17,30,32,33,35,37,38,41,42,46,121,176,187,192,372,379,409,
923],[1,2,4,5,6,19,32,35,40,44,118,180,195,369,405,924],[1,2,4,6,8,19,35,38,43
,44,120,194,195,378,407,925],[1,2,4,5,6,8,19,32,35,38,40,43,44,121,180,194,195
,379,408,926],[1,4,5,6,8,20,31,32,34,35,38,41,42,46,121,178,190,197,367,379,
409,927],[1,3,4,6,7,21,33,35,36,39,45,47,124,183,198,370,375,410,928],[1,2,4,5
,6,19,31,40,42,44,118,163,177,380,405,929],[1,2,5,6,10,28,40,44,118,155,168,
381,405,930],[1,2,4,5,6,8,19,31,40,41,43,44,121,158,177,388,408,931],[1,2,4,6,
8,19,31,43,44,46,120,164,177,389,407,932],[1,2,3,4,5,6,8,15,30,32,40,42,43,44,
45,121,165,170,384,391,408,933],[1,2,3,4,6,8,15,34,37,42,43,44,45,120,165,191,
385,392,407,934],[1,2,3,4,5,6,8,15,28,30,41,42,44,45,46,121,165,169,387,391,
409,935],[1,4,5,6,8,20,31,35,41,42,46,121,161,178,388,390,409,936],[1,2,5,6,8,
10,28,40,43,44,121,159,168,387,408,937],[1,2,4,5,6,8,13,29,35,40,41,43,44,121,
160,189,386,390,408,938],[1,2,3,4,5,6,15,31,33,40,42,44,45,118,165,184,380,382
,405,939],[1,2,3,5,6,8,16,30,40,43,44,45,121,166,175,391,408,940],[1,2,3,6,8,
16,37,43,44,45,120,166,193,392,407,941],[1,2,4,5,6,12,32,40,41,44,118,162,174,
383,405,942],[1,2,3,5,6,16,33,40,44,45,118,166,182,382,405,943],[1,2,4,5,6,8,
12,35,40,41,43,44,121,162,188,390,408,944],[1,2,4,5,6,13,28,32,40,41,44,118,
160,173,381,383,405,945],[1,2,4,5,6,8,12,29,31,40,41,42,46,121,162,172,386,388
,409,946],[1,2,4,5,6,8,19,28,32,41,42,44,46,121,163,179,384,387,409,947],[1,2,
4,8,19,38,43,46,119,164,194,403,406,948],[1,2,3,6,7,16,29,33,44,45,47,124,166,
185,393,394,410,949],[1,3,6,7,18,36,45,47,124,167,196,395,396,410,950],[1,2,5,
6,8,23,40,43,44,121,200,205,408,951],[1,2,6,8,23,43,44,120,200,210,407,952],[1
,2,5,6,8,22,40,43,44,121,199,208,408,953],[1,2,5,6,23,40,44,118,200,209,405,
954],[1,2,5,6,22,40,44,118,199,206,405,955],[1,2,8,23,43,119,203,210,406,956],
[1,2,8,9,43,128,154,413,957],[1,2,5,6,23,40,44,118,201,204,405,958],[1,2,6,8,
23,43,44,120,203,204,407,959],[1,2,5,6,8,23,40,43,44,121,201,203,204,408,960],
[1,2,5,6,22,40,44,118,206,208,405,961],[1,2,5,6,8,23,40,43,44,121,205,209,210,
408,962],[1,2,8,9,43,129,154,963],[1,2,3,4,8,15,34,37,43,128,191,411,412,413,
964],[1,2,3,8,16,37,43,128,193,412,413,965],[1,7,211,966],[1,4,11,26,49,135,
421,967],[1,2,4,10,13,26,51,135,136,422,423,968],[1,2,4,9,12,13,26,50,135,136,
420,422,424,969],[1,2,4,11,12,13,26,57,135,136,421,422,424,970],[1,2,4,9,12,13
,26,50,130,132,136,420,428,429,971],[1,2,3,4,11,15,21,26,67,130,131,135,421,
425,432,972],[1,2,3,4,13,16,21,26,68,131,135,136,422,430,432,973],[1,3,4,11,14
,17,21,26,69,131,132,135,421,426,431,432,974],[1,2,3,4,12,15,16,17,21,26,70,
131,132,135,136,424,427,430,431,432,975],[1,3,4,11,21,26,66,131,135,421,432,
976],[1,2,3,4,9,15,16,26,52,131,132,136,420,427,430,977],[1,2,3,4,12,13,15,16,
17,26,55,130,131,132,135,136,424,425,429,430,431,978],[1,2,3,4,12,13,15,16,17,
26,55,131,132,135,136,422,427,428,430,431,979],[1,2,3,4,12,14,15,17,26,54,131,
132,135,136,424,426,427,428,431,980],[1,2,3,4,13,14,15,26,64,130,131,132,135,
136,422,425,426,427,429,981],[1,2,4,13,14,19,26,63,132,135,136,422,426,433,982
],[1,2,3,4,10,15,19,26,62,131,132,136,423,427,433,983],[1,2,4,10,13,19,26,65,
130,132,136,423,429,433,984],[1,4,24,26,96,135,437,985],[1,2,4,13,24,26,100,
130,132,136,415,429,986],[1,2,4,13,22,26,101,130,132,136,414,429,987],[1,2,3,4
,15,22,23,26,109,130,131,135,414,416,425,988],[1,2,4,13,23,26,110,130,132,136,
416,429,989],[1,2,4,13,25,26,103,130,132,136,417,429,990],[1,2,3,4,15,24,25,26
,105,131,132,136,415,417,427,991],[1,4,14,24,25,26,104,132,135,415,417,426,992
],[1,2,3,4,15,23,26,106,130,131,135,416,425,993],[1,2,4,13,23,26,107,130,132,
136,416,429,994],[1,2,3,4,15,25,26,111,131,132,136,417,427,995],[1,4,14,25,26,
112,132,135,417,426,996],[1,2,4,13,22,23,26,108,130,132,136,414,416,429,997],[
1,3,4,21,24,25,27,114,133,134,137,418,419,434,998],[1,2,4,13,25,26,103,135,136
,422,435,999],[1,2,4,13,23,26,110,135,136,422,436,1000],[1,4,11,25,26,113,135,
421,435,1001],[1,2,4,13,24,26,100,135,136,422,437,1002],[1,2,4,13,22,26,101,
135,136,422,438,1003],[1,4,11,24,26,102,135,421,437,1004],[1,4,11,24,26,78,135
,421,437,1005],[1,2,4,10,12,22,26,74,135,136,423,424,438,1006],[1,2,9,10,22,26
,73,136,420,423,438,1007],[1,2,4,11,13,24,26,82,135,136,421,422,437,1008],[1,2
,3,4,15,24,25,26,105,130,131,135,425,435,437,1009],[1,4,14,24,25,26,104,132,
135,426,435,437,1010],[1,2,4,13,22,23,26,108,130,132,136,429,436,438,1011],[1,
2,3,4,15,22,23,26,109,131,132,136,427,436,438,1012],[1,3,4,21,24,25,26,114,131
,135,432,435,437,1013],[1,4,24,25,26,99,135,435,437,1014],[1,3,4,21,24,26,85,
131,135,432,437,1015],[1,2,3,4,16,19,22,26,80,131,132,136,430,433,438,1016],[1
,2,4,12,19,22,26,76,132,136,428,433,438,1017],[1,3,4,14,21,24,26,90,131,132,
135,426,432,437,1018],[1,2,3,10,16,23,26,79,131,136,423,430,436,1019],[1,2,4,
12,19,23,26,81,132,135,136,424,433,436,1020],[1,2,4,10,12,23,26,77,132,136,423
,428,436,1021],[1,2,4,9,19,23,26,75,132,136,420,433,436,1022],[1,2,3,4,13,21,
25,26,91,131,135,136,422,432,435,1023],[1,4,11,14,25,26,89,132,135,421,426,435
,1024],[1,3,4,11,21,25,26,86,131,135,421,432,435,1025],[1,4,25,26,117,135,435,
1026],[1,4,6,42,48,212,439,1027],[1,3,6,45,48,213,439,1028],[1,4,8,46,48,212,
440,1029],[1,3,7,47,48,213,441,1030],[1,4,5,32,48,212,442,1031],[1,3,6,33,48,
213,443,1032],[1,2,6,44,48,214,439,1033],[1,4,5,41,48,212,442,1034],[1,3,6,45,
48,213,443,1035],[1,2,6,29,48,214,443,1036],[1,2,5,28,48,214,442,1037],[1,5,6,
26,118,215,216,1038],[1,2,4,5,9,11,12,13,40,50,57,139,153,218,500,1039],[1,2,4
,6,9,10,12,13,19,20,44,50,65,71,140,156,221,505,1040],[1,2,4,5,9,10,12,13,19,
20,40,50,65,71,139,155,221,500,1041],[1,2,3,4,5,9,11,15,16,18,21,41,52,60,67,
139,157,222,502,1042],[1,2,3,4,6,9,11,15,16,18,21,44,52,60,67,144,156,222,510,
1043],[1,2,4,8,9,10,12,13,19,20,43,50,65,71,143,154,221,506,1044],[1,2,4,6,9,
11,12,13,44,50,57,141,156,218,507,1045],[1,2,4,6,9,10,12,13,19,20,44,50,65,71,
141,159,221,507,1046],[1,2,3,4,5,9,12,13,14,15,16,17,40,41,50,52,54,55,64,139,
160,229,500,502,1047],[1,2,4,6,10,13,14,19,44,63,65,140,159,227,505,1048],[1,2
,3,4,6,10,13,14,15,19,42,44,45,51,62,63,64,65,140,165,228,501,504,505,1049],[1
,2,4,6,10,13,19,42,44,51,65,140,163,219,501,505,1050],[1,2,3,4,5,9,12,13,15,16
,17,21,40,41,50,52,55,68,70,139,162,232,500,502,1051],[1,2,4,8,10,13,19,43,46,
51,65,143,164,219,506,508,1052],[1,2,3,4,6,10,12,13,15,16,17,19,20,44,45,55,56
,62,65,71,140,166,231,504,505,1053],[1,2,3,4,6,11,15,16,18,21,44,45,60,66,67,
72,144,166,235,509,510,1054],[1,2,3,4,6,11,15,21,42,44,45,49,66,67,144,165,220
,503,509,510,1055],[1,3,4,7,11,14,17,18,21,47,61,69,149,167,224,518,1056],[1,2
,3,4,7,13,14,15,16,18,21,47,58,59,60,64,68,150,167,223,515,516,517,1057],[1,2,
4,6,9,11,12,13,50,57,141,144,218,1058],[1,2,4,8,9,11,12,13,50,57,145,148,218,
1059],[1,2,4,8,9,10,12,13,19,20,50,65,71,143,145,147,221,1060],[1,3,4,7,11,14,
17,18,21,61,69,149,150,224,1061],[1,2,4,7,10,13,14,19,63,65,146,150,227,1062],
[1,2,4,7,9,10,12,13,19,20,50,65,71,142,146,151,221,1063],[1,2,3,4,8,9,11,15,16
,18,21,52,60,67,145,148,152,222,1064],[1,3,4,8,11,14,17,18,21,61,69,148,152,
224,1065],[1,2,4,5,10,13,19,40,41,51,65,155,158,160,219,521,523,1066],[1,2,4,5
,9,11,12,13,40,41,50,57,153,157,160,162,218,522,524,1067],[1,2,4,5,9,10,12,13,
19,20,40,41,50,65,71,153,155,158,160,161,162,221,522,523,525,1068],[1,2,4,5,9,
10,12,13,22,28,40,50,51,73,74,101,139,168,258,445,500,1069],[1,2,4,6,9,10,12,
13,22,29,31,42,50,51,73,74,101,140,172,258,446,448,501,1070],[1,2,3,4,5,9,10,
15,16,19,22,23,28,32,41,52,62,73,75,79,80,109,139,179,283,445,449,502,1071],[1
,2,4,5,9,12,13,14,19,23,32,40,50,63,75,81,110,139,180,286,449,500,1072],[1,2,3
,4,6,9,10,15,16,19,22,23,29,33,45,52,62,73,75,79,80,109,140,185,283,446,453,
504,1073],[1,2,3,4,6,10,12,14,15,17,19,22,23,31,35,45,54,62,74,76,77,81,109,
140,186,290,448,452,504,1074],[1,2,3,4,6,10,12,13,15,16,17,23,33,35,42,51,55,
77,79,110,140,187,284,452,453,501,1075],[1,2,3,4,6,10,12,13,15,16,17,19,22,23,
31,33,44,55,65,74,79,80,81,108,140,184,287,448,453,505,1076],[1,2,4,6,10,12,13
,19,20,23,35,44,65,71,77,81,110,140,195,288,452,505,1077],[1,2,4,5,9,10,12,13,
19,22,23,28,32,40,50,65,73,75,76,77,108,139,173,281,445,449,500,1078],[1,2,4,6
,10,11,12,13,19,23,35,44,57,65,77,87,107,140,188,263,452,505,1079],[1,2,4,6,9,
10,12,13,19,22,23,29,35,44,50,65,73,75,76,77,108,140,189,281,446,452,505,1080]
,[1,2,4,6,10,12,13,19,20,22,31,44,65,71,74,76,101,140,177,282,448,505,1081],[1
,2,4,6,10,12,13,19,20,22,23,31,35,42,51,71,74,77,108,140,178,280,448,452,501,
1082],[1,2,4,5,9,12,13,19,20,23,32,40,50,71,75,87,107,139,174,262,449,500,1083
],[1,2,4,6,11,12,13,24,29,31,42,49,57,78,82,102,144,172,259,450,451,503,1084],
[1,2,3,4,6,10,13,16,19,21,23,33,44,65,68,79,92,107,140,182,268,453,505,1085],[
1,2,3,4,6,10,12,15,16,17,19,21,23,33,35,45,62,70,77,79,87,92,106,140,183,279,
452,453,504,1086],[1,2,3,4,8,9,15,16,17,19,20,23,34,38,46,52,56,75,92,106,145,
197,275,455,471,511,1087],[1,4,8,14,20,24,25,34,38,46,53,88,93,104,147,197,276
,456,468,512,1088],[1,2,3,4,5,9,15,16,17,19,20,23,32,41,52,56,75,92,106,139,
190,275,449,502,1089],[1,2,3,4,6,11,13,14,15,21,24,25,29,35,44,64,67,82,89,90,
91,105,144,189,274,450,460,510,1090],[1,3,4,6,11,14,17,21,24,25,31,35,45,66,69
,78,86,89,90,114,144,186,305,451,460,509,1091],[1,2,3,4,6,11,13,16,21,24,25,29
,33,45,66,68,82,85,86,91,114,144,185,304,450,459,509,1092],[1,2,3,4,6,11,15,21
,24,25,31,33,44,67,78,85,86,105,144,184,301,451,459,510,1093],[1,3,4,6,11,14,
17,21,25,33,35,42,49,69,86,89,113,144,187,303,459,460,503,1094],[1,2,3,4,8,10,
12,13,15,16,17,19,22,23,34,37,43,55,65,74,79,80,81,108,143,191,287,454,458,506
,1095],[1,2,4,8,10,12,13,19,20,23,38,43,65,71,77,81,110,143,194,288,464,506,
1096],[1,2,3,4,8,10,12,13,15,16,17,23,37,38,46,51,55,77,79,110,143,192,284,458
,464,508,1097],[1,2,4,6,9,10,12,13,19,22,23,29,35,44,50,65,73,75,76,77,108,141
,189,281,447,457,507,1098],[1,2,3,4,6,11,12,14,15,17,21,25,35,44,54,67,89,94,
95,111,144,188,296,460,510,1099],[1,3,4,6,11,14,21,25,33,35,45,58,66,83,86,89,
95,115,144,183,313,459,460,509,1100],[1,3,4,6,11,14,21,25,33,35,45,59,66,84,86
,89,94,115,144,183,312,459,460,509,1101],[1,2,3,4,6,11,15,16,18,21,25,33,44,60
,67,83,84,86,111,144,182,311,459,510,1102],[1,2,4,6,9,12,13,14,19,23,35,44,50,
63,75,81,110,141,195,286,457,507,1103],[1,2,4,6,9,12,13,19,20,23,35,44,50,71,
75,87,107,141,188,262,457,507,1104],[1,2,3,4,8,10,13,16,19,21,23,37,43,65,68,
79,92,107,143,193,268,458,506,1105],[1,3,4,7,11,14,21,25,36,39,47,58,66,83,86,
89,95,115,150,198,313,462,466,516,1106],[1,3,4,7,11,14,21,25,36,39,47,59,66,84
,86,89,94,115,150,198,312,462,465,517,1107],[1,3,4,7,14,18,21,24,25,36,47,58,
72,84,85,90,94,114,150,196,314,463,465,516,1108],[1,3,4,7,14,18,21,24,25,36,47
,59,72,83,85,90,95,114,150,196,315,463,466,517,1109],[1,2,3,4,7,13,14,15,16,18
,21,25,36,47,60,64,91,94,95,111,150,196,297,465,466,515,1110],[1,2,4,8,10,12,
13,19,20,22,23,34,38,46,51,71,74,77,108,143,197,280,454,464,508,1111],[1,2,3,4
,7,11,13,14,15,21,24,25,36,39,47,64,67,82,89,90,91,105,150,198,274,462,463,515
,1112],[1,2,3,4,7,10,12,15,16,17,19,21,23,36,39,47,62,70,77,79,87,92,106,146,
198,279,461,470,514,1113],[1,3,4,8,11,14,17,21,25,37,38,46,49,69,86,89,113,148
,192,303,469,472,513,1114],[1,2,4,5,9,12,13,22,24,40,50,100,101,139,199,237,
500,1115],[1,2,4,6,10,13,19,23,24,44,65,100,107,140,200,240,505,1116],[1,2,4,5
,9,12,13,23,25,40,50,103,110,139,201,247,500,1117],[1,2,4,6,10,13,19,23,25,44,
65,103,107,140,204,249,505,1118],[1,2,4,6,9,12,13,23,25,44,50,103,110,141,204,
247,507,1119],[1,2,4,8,10,13,19,23,25,43,65,103,107,143,203,249,506,1120],[1,2
,3,4,5,11,15,21,28,30,41,49,66,67,157,169,181,220,520,542,543,1121],[1,2,3,4,5
,10,13,14,15,19,28,30,32,40,41,51,62,63,64,65,155,160,169,170,171,173,180,228,
521,538,539,540,556,1122],[1,2,3,4,5,10,13,14,15,19,28,30,32,40,41,51,62,63,64
,65,155,158,160,168,169,170,171,173,179,180,228,523,536,537,538,539,541,557,
1123],[1,2,4,5,10,13,14,19,28,32,40,41,63,65,155,158,160,168,171,173,179,180,
227,523,540,541,556,557,1124],[1,2,4,5,10,13,19,28,32,40,41,51,65,155,160,168,
173,179,180,219,521,536,556,557,1125],[1,2,4,5,9,10,12,13,19,20,28,32,40,41,50
,65,71,153,160,162,168,173,174,179,180,190,221,522,528,557,559,560,1126],[1,2,
3,4,5,9,12,13,15,16,17,21,30,32,40,41,50,52,55,68,70,153,160,162,170,174,175,
176,181,232,522,529,532,544,546,1127],[1,2,3,4,5,11,12,13,14,15,16,17,21,30,32
,40,41,54,55,57,69,70,157,160,162,170,171,174,175,176,181,234,524,531,532,545,
546,1128],[1,2,3,4,5,11,12,13,14,15,16,17,21,28,30,32,40,41,55,57,64,67,68,69,
70,157,160,162,169,170,171,173,175,176,181,233,524,533,539,543,544,545,546,
1129],[1,2,3,4,5,9,12,13,14,15,16,17,28,30,32,40,41,50,52,54,55,64,153,160,162
,169,170,171,173,174,175,176,229,522,528,529,531,532,533,539,1130],[1,2,3,4,5,
10,12,13,15,16,17,19,20,30,32,40,41,55,56,62,65,71,155,158,160,170,174,175,176
,180,190,231,523,532,535,538,559,1131],[1,2,3,4,5,12,13,14,15,17,19,20,28,30,
32,40,41,53,54,56,63,64,71,158,160,161,162,169,170,171,173,174,176,179,180,190
,230,525,530,531,534,535,539,541,559,560,1132],[1,2,3,4,5,10,12,13,15,16,17,19
,20,28,30,32,40,41,55,56,62,65,71,158,160,161,162,168,169,170,173,174,175,176,
179,180,190,231,525,532,533,534,535,537,557,560,1133],[1,2,3,4,6,9,12,13,15,16
,17,21,29,31,33,35,42,44,45,50,52,55,68,70,156,165,166,172,182,183,184,185,186
,187,188,189,232,526,549,551,552,553,554,555,1134],[1,2,3,4,6,10,12,13,15,16,
17,19,20,29,31,33,35,42,44,45,55,56,62,65,71,159,163,165,172,177,178,184,185,
186,187,189,195,231,527,547,548,549,550,561,562,1135],[1,2,3,4,5,15,24,25,28,
30,41,96,99,105,169,202,207,344,587,611,624,1136],[1,2,4,5,9,12,13,22,23,40,41
,50,107,108,153,160,162,205,206,331,522,620,621,1137],[1,2,4,5,10,13,19,22,23,
40,41,65,101,108,155,158,160,205,206,332,523,619,621,1138],[1,2,4,5,9,12,13,22
,23,40,50,107,108,139,206,331,500,1139],[1,2,4,6,10,13,19,22,23,44,65,101,108,
140,209,332,505,1140],[1,2,3,4,5,9,15,16,24,25,41,52,105,111,139,207,333,502,
1141],[1,2,4,6,9,12,13,22,23,44,50,107,108,141,208,331,507,1142],[1,2,4,8,10,
13,19,22,23,43,65,101,108,143,210,332,506,1143],[1,2,4,6,10,13,19,22,23,44,65,
108,110,140,208,339,505,1144],[1,2,3,4,5,9,10,15,16,19,22,23,28,30,32,40,41,52
,62,73,75,79,80,109,153,158,168,169,170,175,179,199,205,283,474,475,529,537,
570,583,598,1145],[1,2,3,4,5,9,10,15,16,19,22,23,30,32,40,52,62,73,75,79,80,
109,153,155,170,175,180,201,206,283,476,484,529,538,569,584,600,1146],[1,2,3,4
,5,12,13,14,15,16,17,19,22,28,30,32,40,41,55,63,76,80,101,158,162,169,171,173,
175,176,179,180,199,206,285,475,483,533,541,572,586,600,1147],[1,2,3,4,5,10,12
,13,15,16,17,23,28,30,32,40,41,51,55,77,79,110,155,162,168,169,173,175,176,201
,205,284,476,482,533,536,571,585,598,1148],[1,2,3,4,5,10,12,14,15,17,19,22,23,
30,32,40,41,54,62,74,76,77,81,109,155,162,170,171,174,176,180,199,205,290,479,
483,531,538,571,583,599,1149],[1,2,3,4,5,10,12,14,15,17,19,22,23,28,30,32,40,
41,54,62,74,76,77,81,109,158,162,168,169,170,171,174,176,179,201,206,290,477,
482,531,537,572,584,597,1150],[1,2,4,5,9,12,13,14,19,23,28,32,40,41,50,63,75,
81,110,153,158,171,173,174,179,180,201,205,286,477,484,528,541,570,585,599,
1151],[1,2,3,4,5,10,12,13,15,16,17,19,22,23,28,30,32,40,41,55,65,74,79,80,81,
108,155,162,169,173,175,176,180,201,206,287,476,478,533,556,576,593,600,1152],
[1,2,4,5,10,12,13,19,20,23,28,32,40,41,65,71,77,81,110,155,162,173,174,179,180
,190,201,205,288,478,485,556,560,571,585,599,1153],[1,2,3,4,5,10,12,14,15,17,
19,22,23,30,32,40,41,54,62,74,76,77,81,109,155,162,170,171,174,176,180,201,206
,290,478,485,531,538,576,584,607,1154],[1,2,4,5,12,13,14,19,20,22,23,28,32,40,
41,63,71,76,81,108,158,162,171,173,174,179,180,190,201,206,289,477,478,541,560
,572,593,607,1155],[1,2,4,5,9,10,12,13,22,28,32,40,50,51,73,74,101,153,155,168
,173,174,199,206,258,474,479,528,536,569,586,597,1156],[1,2,3,4,5,11,15,21,24,
25,28,30,41,67,78,85,86,105,157,169,181,202,207,301,495,543,573,587,601,1157],
[1,2,3,4,5,11,13,16,21,24,25,30,40,41,66,68,82,85,86,91,114,157,160,175,181,
202,207,304,490,495,542,544,577,594,601,1158],[1,3,4,5,11,14,17,21,24,25,30,32
,41,66,69,78,86,89,90,114,157,171,176,181,202,207,305,492,495,542,545,573,594,
606,1159],[1,2,4,6,9,12,13,19,20,23,29,31,35,42,44,50,71,75,87,107,156,163,172
,177,178,188,189,200,209,262,480,481,551,562,575,592,604,1160],[1,2,3,4,6,9,10
,15,16,19,22,23,31,33,44,52,62,73,75,79,80,109,156,159,177,182,184,200,208,283
,480,486,547,552,574,590,602,1161],[1,2,3,4,6,10,12,15,16,17,19,21,23,31,33,35
,44,45,62,70,77,79,87,92,106,159,166,177,183,184,186,188,204,209,279,489,498,
547,555,582,591,604,1162],[1,2,3,4,6,10,13,16,19,21,23,29,33,35,44,45,65,68,79
,92,107,159,166,182,183,185,189,195,200,209,268,486,487,554,561,582,592,603,
1163],[1,2,3,4,6,12,15,16,17,19,20,21,22,23,31,33,35,42,44,45,56,70,76,80,87,
92,109,163,166,178,183,184,186,187,188,195,200,208,278,481,487,550,555,581,590
,609,1164],[1,2,3,4,6,12,13,16,19,20,21,22,23,29,31,33,35,42,44,45,68,71,80,92
,108,163,166,172,177,178,182,183,185,189,204,208,270,488,489,554,562,581,595,
602,1165],[1,2,3,4,6,9,15,16,17,19,20,23,31,33,35,42,44,52,56,75,92,106,156,
163,178,182,184,187,195,204,209,275,488,497,550,552,575,591,603,1166],[1,2,4,5
,10,12,13,19,20,22,28,32,40,41,65,71,74,76,101,155,162,173,174,179,180,190,199
,206,282,479,483,556,560,576,586,607,1167],[1,2,4,5,9,10,12,13,19,22,23,28,32,
40,50,65,73,75,76,77,108,153,155,173,174,180,201,206,281,484,485,528,556,569,
593,607,1168],[1,2,4,5,10,12,13,19,20,22,23,28,32,40,41,51,71,74,77,108,155,
162,168,173,174,179,190,201,206,280,482,485,536,560,576,593,597,1169],[1,2,3,4
,5,12,15,16,17,19,20,21,22,23,30,32,40,41,56,70,76,80,87,92,109,158,162,170,
175,176,180,181,190,199,205,278,475,483,535,546,578,583,605,1170],[1,2,3,4,5,
15,17,19,20,24,25,28,30,32,41,56,88,93,105,161,169,176,179,190,202,207,277,493
,534,579,587,608,1171],[1,2,3,4,5,10,12,15,16,17,19,21,23,28,30,32,40,41,62,70
,77,79,87,92,106,158,162,168,169,170,175,176,179,181,201,205,279,482,491,537,
546,578,589,598,1172],[1,2,3,4,5,12,14,15,17,19,20,23,30,32,40,41,54,56,81,87,
106,158,162,170,171,174,176,180,190,201,205,269,477,494,531,535,578,589,599,
1173],[1,2,3,4,5,12,15,16,17,19,20,21,22,23,30,32,40,41,56,70,76,80,87,92,109,
158,162,170,175,176,180,181,190,201,206,278,491,494,535,546,572,584,600,1174],
[1,2,3,4,5,9,15,16,17,19,20,23,30,32,40,41,52,56,75,92,106,153,158,170,175,176
,180,190,201,205,275,484,491,529,535,570,589,605,1175],[1,2,3,4,5,12,13,14,15,
16,17,19,23,28,30,32,40,41,55,63,87,92,110,158,162,169,171,173,175,176,179,180
,201,205,271,491,494,533,541,578,585,605,1176],[1,4,5,14,20,24,25,32,41,53,88,
93,104,161,171,190,202,207,276,493,530,579,588,608,1177],[1,2,3,4,5,10,12,15,
16,17,19,21,23,30,32,40,41,62,70,77,79,87,92,106,155,162,170,175,176,180,181,
201,205,279,476,494,538,546,571,589,605,1178],[1,2,3,4,5,11,13,14,17,19,21,24,
25,30,32,40,41,63,69,82,89,90,91,104,157,160,171,176,180,181,202,207,273,490,
492,540,545,577,588,606,1179],[1,2,3,4,5,11,13,14,15,21,24,25,28,30,32,40,41,
64,67,82,89,90,91,105,157,160,169,170,171,173,181,202,207,274,490,492,539,543,
577,587,606,1180],[1,2,4,6,9,10,12,13,19,22,23,29,35,44,50,65,73,75,76,77,108,
156,159,188,189,195,204,208,281,497,498,551,561,574,595,609,1181],[1,2,3,4,8,9
,15,16,17,19,20,23,34,37,38,43,46,52,56,75,92,106,154,164,191,192,193,194,197,
203,210,275,496,499,558,564,580,596,610,1182],[1,2,4,5,9,12,13,22,23,40,41,50,
107,108,153,160,162,199,201,331,522,613,616,1183],[1,2,4,5,10,13,19,22,23,40,
41,65,108,110,155,158,160,199,201,339,523,613,615,1184],[1,2,4,5,10,13,23,40,
41,51,107,155,160,201,239,521,616,1185],[1,2,4,5,11,12,13,23,40,41,57,110,157,
160,162,201,242,524,615,1186],[1,2,4,5,10,13,19,23,25,40,41,65,103,107,155,158
,160,201,202,249,523,612,616,1187],[1,2,4,5,9,12,13,23,25,40,41,50,103,110,153
,160,162,201,202,247,522,612,615,1188],[1,2,4,5,12,13,19,20,23,40,41,71,107,
110,158,160,161,162,201,248,525,615,616,1189],[1,2,4,5,11,12,13,25,40,41,57,
113,157,160,162,202,254,524,614,1190],[1,2,4,5,13,22,23,24,40,41,100,108,160,
199,201,207,346,613,618,1191],[1,2,4,5,13,22,23,40,41,101,107,108,160,199,201,
206,347,613,616,619,1192],[1,2,4,5,13,22,23,40,41,107,108,110,160,201,205,206,
351,615,616,621,1193],[1,2,4,5,13,22,23,25,40,41,103,108,160,199,201,202,205,
206,350,612,613,621,1194],[1,2,4,5,13,22,23,40,41,107,108,110,160,199,201,205,
351,613,615,620,1195],[1,2,3,4,5,10,13,16,21,25,30,40,41,51,68,91,103,155,160,
175,181,202,264,490,521,544,612,1196],[1,2,4,5,11,12,13,14,19,25,32,40,41,57,
63,89,103,157,160,162,171,180,202,265,492,524,540,612,1197],[1,2,3,4,5,12,13,
16,19,20,21,22,23,30,40,41,68,71,80,92,108,158,160,161,162,175,181,199,201,270
,475,491,525,544,613,1198],[1,2,3,4,5,10,13,16,19,21,23,30,40,41,65,68,79,92,
107,155,158,160,175,181,201,268,476,491,523,544,616,1199],[1,2,4,5,12,13,19,20
,25,32,40,41,71,93,103,158,160,161,162,174,180,190,202,267,493,525,559,612,
1200],[1,2,3,4,5,12,13,15,16,17,19,20,23,30,32,40,41,55,71,81,92,107,158,160,
161,162,170,174,175,176,201,272,477,491,525,532,616,1201],[1,2,4,5,9,10,12,13,
19,22,23,28,32,40,41,50,65,73,75,76,77,108,153,160,162,168,173,179,180,199,201
,281,474,482,483,484,522,557,613,1202],[1,2,4,5,10,12,13,19,20,22,23,32,40,41,
51,71,74,77,108,155,160,174,180,190,199,201,280,479,485,521,559,613,1203],[1,2
,3,4,5,11,12,13,21,25,30,40,41,57,66,86,91,113,157,160,162,181,202,300,490,495
,524,542,614,1204],[1,3,4,5,11,14,17,21,25,30,32,41,49,69,86,89,113,157,171,
176,181,202,303,492,495,520,545,614,1205],[1,2,4,5,10,11,12,13,19,23,28,32,40,
41,57,65,77,87,107,157,160,162,168,173,179,180,201,263,482,494,524,557,616,
1206],[1,2,4,5,11,12,13,19,20,22,23,32,40,41,57,71,76,87,108,157,160,162,174,
180,190,199,201,261,483,494,524,559,613,1207],[1,2,4,5,9,12,13,19,20,23,32,40,
41,50,71,75,87,107,153,160,162,174,180,190,201,262,484,494,522,559,616,1208],[
1,2,3,4,5,10,12,13,15,16,17,23,30,32,40,41,51,55,77,79,110,155,160,170,174,175
,176,201,284,476,485,521,532,615,1209],[1,2,4,5,10,12,13,19,20,23,32,40,41,65,
71,77,81,110,155,158,160,174,180,190,201,288,477,485,523,559,615,1210],[1,2,4,
5,10,12,13,19,20,23,28,32,40,41,65,71,77,81,110,158,160,161,162,168,173,179,
180,201,288,478,482,525,557,615,1211],[1,2,3,4,5,10,12,13,15,16,17,19,22,23,30
,32,40,41,55,65,74,79,80,81,108,155,158,160,170,174,175,176,199,201,287,475,
476,477,479,523,532,613,1212],[1,2,4,5,9,12,13,14,19,23,32,40,41,50,63,75,81,
110,153,160,162,171,180,201,286,478,484,522,540,615,1213],[1,2,4,5,12,13,14,19
,20,22,23,32,40,41,63,71,76,81,108,158,160,161,162,171,180,199,201,289,478,483
,525,540,613,1214],[1,2,3,4,6,9,15,16,17,19,20,23,31,35,42,44,45,52,56,75,92,
106,156,165,166,177,178,186,195,200,204,275,480,487,489,497,526,548,617,1215],
[1,2,3,4,6,10,12,15,16,17,19,21,23,33,35,42,44,45,62,70,77,79,87,92,106,159,
163,165,182,183,187,188,200,204,279,481,486,488,498,527,553,617,1216],[1,2,4,5
,10,11,12,13,24,40,41,51,57,82,100,155,157,160,162,207,257,521,524,577,618,
1217],[1,2,4,5,12,13,19,20,24,40,41,71,88,100,158,160,161,162,207,260,525,579,
618,1218],[1,2,4,5,10,11,12,13,19,23,40,41,57,65,77,87,107,155,157,158,160,162
,205,263,523,524,571,578,620,1219],[1,2,4,5,11,12,13,19,20,22,23,40,41,57,71,
76,87,108,157,158,160,161,162,205,206,261,524,525,572,578,621,1220],[1,2,4,5,9
,12,13,19,20,23,40,41,50,71,75,87,107,153,158,160,161,162,205,262,522,525,570,
578,620,1221],[1,2,4,5,10,12,13,19,20,22,40,41,65,71,74,76,101,155,158,160,161
,162,206,282,523,525,572,576,619,1222],[1,2,4,5,9,10,12,13,19,22,23,40,41,50,
65,73,75,76,77,108,153,155,158,160,162,205,206,281,522,523,569,570,571,572,621
,1223],[1,2,4,5,10,12,13,19,20,22,23,40,41,51,71,74,77,108,155,158,160,161,162
,205,206,280,521,525,571,576,621,1224],[1,2,4,5,9,10,12,13,22,40,41,50,51,73,
74,101,153,155,160,162,206,258,521,522,569,576,619,1225],[1,2,4,5,11,12,13,24,
40,41,49,57,78,82,102,157,160,162,207,259,520,524,573,577,622,1226],[1,2,3,4,6
,9,10,15,16,19,22,23,42,44,45,52,62,73,75,79,80,109,156,159,163,165,166,208,
209,283,526,527,574,575,581,582,623,1227],[1,2,4,5,10,13,23,40,41,51,107,155,
160,205,239,521,620,1228],[1,2,4,5,10,13,19,23,24,40,41,65,100,107,155,158,160
,205,207,240,523,618,620,1229],[1,2,4,5,12,13,19,20,22,23,40,41,71,101,107,158
,160,161,162,205,206,241,525,619,620,1230],[1,2,4,5,11,12,13,22,40,41,57,101,
157,160,162,206,236,524,619,1231],[1,2,4,5,9,12,13,22,24,40,41,50,100,101,153,
160,162,206,207,237,522,618,619,1232],[1,2,4,5,11,12,13,24,40,41,57,102,157,
160,162,207,238,524,622,1233],[1,2,4,5,13,22,23,24,40,41,100,108,160,205,206,
207,346,618,621,1234],[1,2,4,5,13,22,23,40,41,101,107,108,160,205,206,347,619,
620,621,1235],[1,2,3,4,5,13,14,15,24,25,28,30,32,40,41,64,100,103,104,105,160,
169,170,171,173,202,207,336,539,587,588,612,618,1236],[1,2,3,4,5,13,14,15,23,
28,30,32,40,41,64,106,107,110,160,169,170,171,173,201,205,337,539,585,589,616,
620,1237],[1,2,3,4,5,12,13,15,16,17,22,23,30,32,40,41,55,106,107,108,109,160,
170,174,175,176,199,201,205,338,532,583,589,613,620,1238],[1,2,3,4,5,12,13,15,
16,17,22,23,30,32,40,41,55,106,107,108,109,160,170,174,175,176,201,205,206,338
,532,584,589,616,621,1239],[1,2,3,4,5,13,14,15,22,23,28,30,32,40,41,64,101,108
,109,110,160,169,170,171,173,199,201,205,206,340,539,583,584,585,586,613,621,
1240],[1,2,4,5,10,13,19,22,23,28,32,40,41,65,108,110,160,168,173,179,180,201,
205,206,339,557,585,593,615,621,1241],[1,2,3,4,5,13,14,15,22,23,28,30,32,40,41
,64,101,108,109,110,160,169,170,171,173,201,206,340,539,584,593,615,619,1242],
[1,2,4,5,10,13,19,22,23,28,32,40,41,65,101,108,160,168,173,179,180,199,201,206
,332,557,586,593,613,619,1243],[1,2,3,4,5,11,15,21,24,25,28,30,41,67,102,105,
113,114,157,169,181,202,207,343,543,587,594,614,622,1244],[1,2,3,4,6,12,13,15,
16,17,22,23,29,31,33,35,42,44,45,55,106,107,108,109,165,172,184,185,186,187,
189,200,204,208,209,338,549,590,591,592,595,617,623,1245],[1,2,4,5,12,13,19,20
,24,32,40,41,71,88,100,160,174,180,190,207,260,559,608,618,1246],[1,2,3,4,5,13
,14,16,19,21,24,30,32,40,41,63,68,90,100,160,171,175,180,181,207,266,540,544,
606,618,1247],[1,2,3,4,5,12,13,15,16,17,19,20,23,30,32,40,41,55,71,81,92,107,
160,170,174,175,176,180,190,205,272,532,559,599,605,620,1248],[1,2,3,4,5,12,13
,16,19,20,21,22,23,30,32,40,41,68,71,80,92,108,160,174,175,180,181,190,205,206
,270,544,559,600,605,621,1249],[1,2,3,4,5,10,13,16,19,21,23,28,30,32,40,41,65,
68,79,92,107,160,168,173,175,179,180,181,205,268,544,557,598,605,620,1250],[1,
2,4,5,12,13,14,19,20,22,23,32,40,41,63,71,76,81,108,160,171,174,180,190,205,
206,289,540,559,599,607,621,1251],[1,2,3,4,5,12,13,14,15,16,17,19,22,30,32,40,
41,55,63,76,80,101,160,170,171,174,175,176,180,206,285,532,540,600,607,619,
1252],[1,2,3,4,5,10,12,13,15,16,17,19,22,23,28,30,32,40,41,55,65,74,79,80,81,
108,160,168,170,173,174,175,176,179,180,205,206,287,532,557,597,598,599,600,
621,1253],[1,2,4,5,10,12,13,19,20,22,28,32,40,41,65,71,74,76,101,160,168,173,
174,179,180,190,206,282,557,559,597,607,619,1254],[1,3,4,5,11,14,17,21,24,30,
32,41,66,69,85,90,102,157,171,176,181,207,302,542,545,601,606,622,1255],[1,2,3
,4,6,12,15,16,17,19,20,21,22,23,31,33,35,42,44,45,56,70,76,80,87,92,109,165,
177,178,182,183,186,187,188,195,208,209,278,548,553,602,603,604,609,623,1256],
[1,2,4,5,12,13,19,20,23,32,40,41,71,107,110,160,174,180,190,201,205,248,559,
615,620,1257],[1,2,3,4,5,12,13,15,16,17,23,24,30,32,40,41,55,100,110,160,170,
174,175,176,201,207,243,532,615,618,1258],[1,2,3,4,5,13,16,21,22,23,30,40,41,
68,101,110,160,175,181,201,206,245,544,615,619,1259],[1,2,4,5,10,13,19,23,25,
28,32,40,41,65,103,107,160,168,173,179,180,202,205,249,557,612,620,1260],[1,2,
3,4,5,12,13,15,16,17,22,25,30,32,40,41,55,101,103,160,170,174,175,176,202,206,
244,532,612,619,1261],[1,2,4,5,13,14,19,23,32,40,41,63,107,160,171,180,201,205
,246,540,616,620,1262],[1,2,4,5,12,13,19,20,22,23,32,40,41,71,101,107,160,174,
180,190,201,206,241,559,616,619,1263],[1,2,4,5,10,13,19,23,24,28,32,40,41,65,
100,107,160,168,173,179,180,201,207,240,557,616,618,1264],[1,3,4,5,11,14,17,21
,24,25,30,32,41,69,102,113,157,171,176,181,202,207,255,545,614,622,1265],[1,4,
7,14,24,25,104,150,348,1266],[1,4,5,11,14,24,25,32,41,78,89,99,104,113,157,171
,202,207,326,492,573,588,614,624,1267],[1,2,3,4,5,11,13,21,24,25,30,40,41,82,
86,91,99,103,113,114,157,160,181,202,207,329,490,495,577,594,612,614,624,1268]
,[1,3,4,5,14,21,24,25,30,32,41,85,90,96,104,114,171,181,202,207,327,588,594,
601,606,611,1269],[1,2,4,5,13,24,40,41,100,116,160,207,352,618,625,1270],[1,2,
4,5,11,13,24,40,41,78,82,96,100,102,157,160,207,316,573,577,611,618,622,1271],
[1,2,4,5,13,24,40,41,100,116,160,207,352,618,626,1272],[1,2,3,4,5,13,21,24,25,
30,40,41,85,91,99,100,114,160,181,202,207,328,490,594,601,618,624,1273],[1,3,4
,5,11,14,21,24,25,30,32,41,86,89,90,99,102,104,114,157,171,181,202,207,330,492
,495,588,594,606,622,624,1274],[1,4,6,20,24,31,35,42,88,96,116,178,358,565,
1275],[1,4,8,20,24,34,38,46,88,96,116,197,358,566,1276],[1,4,8,20,25,34,38,46,
93,98,117,197,360,568,1277],[1,4,8,20,25,34,38,46,93,97,117,197,359,567,1278],
[1,4,5,20,24,41,88,96,116,161,207,358,579,611,626,1279],[1,4,5,11,20,24,32,41,
78,88,116,157,190,207,362,573,608,625,1280],[1,3,4,5,20,21,24,30,41,85,88,116,
161,181,207,363,579,601,625,1281],[1,2,3,4,6,15,24,25,42,44,45,96,99,105,165,
344,565,1282],[1,2,3,4,5,15,24,25,28,30,41,105,116,169,202,207,357,587,625,626
,1283],[1,4,5,14,24,25,32,41,104,116,171,202,207,356,588,625,626,1284],[1,4,5,
20,24,25,32,41,88,99,116,190,202,207,361,608,624,626,1285],[1,4,5,20,24,25,41,
88,99,116,161,202,207,361,579,624,625,1286],[1,4,5,11,20,24,41,78,88,116,157,
161,207,362,573,579,626,1287],[1,4,5,20,24,32,41,88,96,116,190,207,358,608,611
,625,1288],[1,3,4,5,20,21,24,30,32,41,85,88,116,181,190,207,363,601,608,626,
1289],[1,4,26,27,132,134,627,1290],[1,2,26,27,130,136,627,1291],[1,3,26,27,133
,137,627,1292],[1,2,5,6,8,40,43,44,118,120,121,405,407,408,629,1293],[1,2,5,6,
8,28,29,40,118,120,121,366,381,386,629,1294],[1,4,5,6,8,31,32,34,42,118,120,
121,367,380,384,385,629,1295],[1,4,5,6,8,32,35,41,118,120,121,369,383,390,629,
1296],[1,2,5,6,7,8,28,29,44,118,121,124,125,126,366,387,393,631,1297],[1,4,5,7
,8,34,41,119,125,127,371,402,633,1298],[1,4,5,7,8,32,38,39,46,119,125,127,376,
401,403,404,633,1299],[1,3,5,6,8,30,33,37,45,118,120,121,372,382,391,392,629,
1300],[1,3,6,7,8,33,36,47,120,124,126,370,395,396,397,630,1301],[1,3,5,6,7,8,
33,36,45,118,121,124,125,126,370,382,394,398,631,1302],[1,4,5,6,7,8,31,32,34,
41,118,121,124,125,126,367,383,388,402,631,1303],[1,4,5,6,7,8,31,32,34,46,120,
121,122,123,125,126,367,389,399,400,401,632,1304],[1,4,5,6,8,32,35,38,118,120,
121,369,378,379,629,1305],[1,4,6,7,8,35,38,39,120,124,126,375,377,378,630,1306
],[1,4,5,6,7,8,32,35,38,39,118,121,124,125,126,369,375,376,377,379,631,1307],[
1,4,5,6,7,8,32,35,38,39,120,121,122,123,125,126,373,374,376,377,378,379,632,
1308],[1,2,6,8,43,44,119,120,406,407,634,1309],[1,4,6,8,34,42,119,120,371,385,
634,1310],[1,3,6,8,37,45,119,120,368,392,634,1311],[1,4,7,8,34,46,119,123,127,
371,400,637,1312],[1,4,7,8,34,46,119,122,127,371,399,636,1313],[1,4,7,8,38,46,
119,123,127,373,403,637,1314],[1,4,7,8,38,46,119,122,127,374,403,636,1315],[1,
4,6,8,35,38,46,119,120,378,403,634,1316],[1,2,5,6,8,28,40,44,118,120,121,381,
387,405,629,1317],[1,4,5,6,8,31,41,42,46,118,120,121,380,388,389,409,629,1318]
,[1,2,5,6,7,8,29,40,44,118,121,124,125,126,386,393,405,631,1319],[1,4,5,6,7,8,
32,41,42,46,118,121,124,125,126,383,384,401,409,631,1320],[1,4,5,6,7,8,34,41,
42,46,120,121,122,123,125,126,385,399,400,402,409,632,1321],[1,3,5,6,7,8,33,45
,47,118,121,124,125,126,382,394,397,410,631,1322],[1,3,6,7,8,36,45,47,120,124,
126,395,396,398,410,630,1323],[1,2,6,8,43,44,120,128,407,413,638,1324],[1,4,6,
8,34,42,120,128,385,411,638,1325],[1,3,6,8,37,45,120,128,392,412,638,1326],[1,
4,5,7,8,34,41,125,128,129,402,411,642,1327],[1,4,8,34,46,122,128,129,399,411,
641,1328],[1,4,8,34,46,123,128,129,400,411,640,1329],[1,4,6,8,31,38,46,119,120
,389,403,634,1330],[1,4,6,7,8,31,39,46,120,127,389,404,635,1331],[1,4,7,8,34,
38,39,46,119,122,127,399,403,404,636,1332],[1,4,7,8,34,38,39,46,119,123,127,
400,403,404,637,1333],[1,27,138,1334],[1,4,11,48,49,1335],[1,2,3,4,10,15,19,48
,62,212,213,214,644,645,646,1336],[1,2,3,4,9,15,16,48,52,212,213,214,643,646,
647,1337],[1,2,3,4,16,19,22,48,80,212,213,214,645,647,648,1338],[1,2,9,10,22,
48,73,214,643,644,648,1339],[1,2,3,4,15,22,23,48,109,212,213,214,646,648,649,
1340],[1,2,3,10,16,23,48,79,213,214,644,647,649,1341],[1,2,4,9,19,23,48,75,212
,214,643,645,649,1342],[1,2,5,9,26,28,130,139,1343],[1,2,6,10,26,29,130,140,
1344],[1,4,6,11,27,35,134,144,1345],[1,4,8,20,27,34,134,147,1346],[1,4,7,14,27
,39,134,150,1347],[1,4,7,14,27,39,134,150,1348],[1,4,8,20,27,38,134,147,1349],
[1,3,7,18,27,36,133,149,1350],[1,2,5,22,26,40,130,199,215,414,650,1351],[1,2,6
,23,26,44,130,200,216,416,651,1352],[1,2,5,23,26,40,130,201,215,416,650,1353],
[1,2,6,23,26,44,130,204,216,416,651,1354],[1,4,5,25,27,41,134,202,217,419,654,
1355],[1,2,5,9,26,136,139,215,420,1356],[1,2,6,10,26,136,140,216,423,1357],[1,
2,6,9,26,136,141,216,420,1358],[1,4,6,11,26,135,144,216,421,1359],[1,2,5,9,26,
40,136,153,215,420,663,1360],[1,2,5,22,26,40,130,206,215,414,650,1361],[1,2,6,
22,26,44,130,208,216,414,651,1362],[1,4,5,24,26,41,132,207,215,415,652,1363],[
1,2,6,23,26,44,130,209,216,416,651,1364],[1,4,5,24,27,41,134,207,217,418,654,
1365],[1,2,4,5,13,26,28,32,40,130,132,136,173,215,429,650,656,660,1366],[1,2,3
,4,6,15,26,31,33,44,130,131,135,184,216,425,651,655,659,1367],[1,3,4,6,17,26,
31,35,45,131,132,135,186,216,431,653,658,659,1368],[1,2,3,6,16,26,29,33,45,131
,136,185,216,430,653,655,661,1369],[1,2,4,5,19,26,28,32,41,132,136,179,215,433
,652,656,660,1370],[1,2,4,6,13,26,29,35,44,130,132,136,189,216,429,651,658,661
,1371],[1,3,4,5,21,27,30,41,133,134,137,181,217,434,654,657,662,1372],[1,2,5,
22,26,40,136,199,215,438,663,1373],[1,2,5,10,26,28,40,136,168,215,423,660,663,
1374],[1,2,4,6,12,26,29,31,42,135,136,172,216,424,659,661,664,1375],[1,2,4,5,
19,26,32,40,132,136,180,215,433,656,663,1376],[1,3,4,6,17,26,33,35,42,131,132,
135,187,216,431,655,658,664,1377],[1,2,4,5,13,26,40,41,130,132,136,160,215,429
,650,652,663,1378],[1,2,4,5,12,26,40,41,132,136,162,215,428,652,663,1379],[1,2
,3,4,6,15,26,42,44,45,130,131,135,165,216,425,651,653,664,1380],[1,2,5,23,26,
40,136,201,215,436,663,1381],[1,5,6,48,118,442,443,1382],[1,5,6,8,48,121,439,
440,442,1383],[1,6,7,48,124,439,441,443,1384],[1,5,7,8,48,125,440,441,442,1385
],[1,6,7,8,48,126,440,441,443,1386],[1,2,3,4,9,11,12,13,14,15,16,17,18,21,50,
52,54,55,57,58,59,60,61,64,67,68,69,70,218,222,223,224,225,226,229,232,233,234
,667,669,670,1387],[1,2,4,9,10,11,12,13,22,24,49,50,51,57,73,74,78,82,96,100,
101,102,218,236,237,238,257,258,259,316,671,687,688,716,717,1388],[1,2,4,10,11
,12,13,19,23,24,49,51,57,65,77,78,82,87,96,100,102,107,219,239,240,257,259,263
,316,671,689,718,1389],[1,2,3,4,9,10,11,12,13,16,21,22,24,25,50,51,57,66,68,73
,74,82,85,86,91,99,100,101,103,113,114,218,236,237,254,257,258,264,300,304,328
,329,684,688,691,719,720,1390],[1,2,3,4,10,11,12,13,14,15,16,17,21,23,24,25,51
,54,55,57,66,68,69,70,77,79,82,85,86,90,91,99,100,102,103,110,113,114,234,238,
242,243,255,257,264,284,300,302,304,328,329,684,692,696,716,723,1391],[1,2,3,4
,10,11,12,13,14,15,16,17,21,23,24,25,49,51,54,55,57,69,70,77,78,79,82,86,89,96
,100,102,110,113,234,242,243,254,255,257,259,284,303,316,671,693,696,719,721,
1392],[1,2,3,4,11,12,13,14,15,16,17,19,21,22,24,25,49,54,55,57,63,66,69,70,76,
78,80,82,85,86,89,90,91,99,101,102,103,104,113,114,234,236,238,244,254,255,259
,265,273,285,300,302,303,305,326,329,330,685,692,693,694,717,720,724,1393],[1,
2,3,4,10,11,12,13,16,19,21,23,24,25,51,57,65,66,68,77,79,82,85,86,87,91,92,99,
100,103,107,113,114,219,239,240,249,257,263,264,268,300,304,328,329,684,689,
697,718,722,1394],[1,2,3,4,9,11,12,13,14,17,19,21,23,24,25,49,50,57,63,66,69,
75,78,81,82,86,89,90,91,99,102,103,104,110,113,114,218,238,242,247,254,259,265
,273,286,300,303,305,326,329,330,685,687,691,695,721,723,724,1395],[1,2,3,4,9,
11,12,13,14,19,21,23,25,50,57,59,63,66,75,81,84,86,89,91,94,98,103,110,112,113
,115,218,242,247,254,265,286,294,300,312,317,324,675,691,695,726,729,1396],[1,
2,3,4,9,11,12,13,14,19,21,23,25,50,57,58,63,66,75,81,83,86,89,91,95,97,103,110
,112,113,115,218,242,247,254,265,286,293,300,313,318,323,676,691,695,725,728,
1397],[1,2,3,4,11,12,13,14,15,16,17,19,21,22,25,54,55,57,58,63,66,69,70,76,80,
83,84,86,89,91,95,97,101,103,112,113,115,234,236,244,254,256,265,285,293,300,
308,313,318,323,676,694,713,720,726,1398],[1,2,3,4,11,12,13,14,15,16,17,19,21,
22,25,54,55,57,59,63,66,69,70,76,80,83,84,86,89,91,94,98,101,103,112,113,115,
234,236,244,254,256,265,285,294,300,307,312,317,324,675,694,714,720,725,1399],
[1,2,3,4,11,12,13,14,15,16,17,19,21,23,24,25,54,55,57,58,63,66,69,70,83,85,86,
87,89,90,91,92,94,95,97,102,103,110,112,113,115,234,238,242,251,254,255,256,
265,271,293,300,302,307,313,318,323,676,692,707,714,723,724,729,1400],[1,2,3,4
,11,12,13,14,15,16,17,19,21,23,24,25,54,55,57,59,63,66,69,70,84,85,86,87,89,90
,91,92,94,95,98,102,103,110,112,113,115,234,238,242,251,254,255,256,265,271,
294,300,302,308,312,317,324,675,692,707,713,723,724,728,1401],[1,2,3,4,11,12,
13,14,15,16,17,19,21,23,24,25,49,54,55,57,63,66,69,70,78,82,83,86,87,89,90,91,
92,94,99,102,103,104,110,113,114,234,242,251,254,255,256,259,265,271,273,300,
303,305,307,326,329,330,685,693,707,714,721,726,728,1402],[1,2,3,4,11,12,13,14
,15,16,17,19,21,23,24,25,49,54,55,57,63,66,69,70,78,82,84,86,87,89,90,91,92,95
,99,102,103,104,110,113,114,234,242,251,254,255,256,259,265,271,273,300,303,
305,308,326,329,330,685,693,707,713,721,725,729,1403],[1,2,3,4,10,11,12,13,14,
19,21,23,25,57,58,63,65,66,77,83,86,87,89,91,95,97,103,107,112,113,115,227,246
,249,252,263,265,293,300,313,318,323,676,698,705,727,731,1404],[1,2,3,4,10,11,
12,13,14,19,21,23,25,57,59,63,65,66,77,84,86,87,89,91,94,98,103,107,112,113,
115,227,246,249,252,263,265,294,300,312,317,324,675,698,706,727,732,1405],[1,2
,3,4,10,11,12,13,14,15,16,17,21,23,24,25,51,54,55,57,66,68,69,70,77,79,82,83,
84,85,86,91,94,95,99,100,103,110,113,114,234,242,243,254,256,257,264,284,300,
304,307,308,328,329,684,696,713,714,719,728,729,1406],[1,2,3,4,10,13,14,16,18,
19,21,23,24,25,58,59,63,65,68,72,79,83,84,85,90,91,92,94,95,99,100,107,112,114
,115,227,240,246,252,266,268,293,294,310,314,315,321,322,328,680,699,705,706,
730,731,732,1407],[1,2,3,4,10,11,12,13,14,15,16,17,19,21,24,25,49,51,55,57,62,
63,64,65,66,67,68,69,70,78,82,85,86,89,90,91,96,99,100,102,103,104,105,113,114
,220,228,233,257,259,264,265,266,273,274,300,301,302,303,304,305,316,326,327,
328,329,330,336,343,344,671,684,685,686,756,768,829,1408],[1,2,3,4,10,11,12,13
,14,15,16,17,18,19,21,24,25,51,55,57,58,59,60,62,63,64,65,66,67,68,69,70,72,82
,83,84,85,86,89,90,91,94,95,97,98,99,100,103,104,105,111,112,113,114,115,223,
228,233,235,257,264,265,266,273,274,293,294,295,297,300,304,306,307,308,309,
310,311,312,313,314,315,317,318,319,320,321,322,323,324,325,328,329,334,336,
341,342,345,674,675,676,680,682,683,684,747,749,751,756,830,834,1409],[1,2,3,4
,11,12,13,14,15,16,17,18,19,20,21,24,25,49,53,54,55,56,57,58,59,60,61,63,64,66
,67,68,69,70,71,72,78,82,83,84,85,86,89,90,91,94,95,97,98,99,102,103,104,105,
111,112,113,114,115,220,226,230,233,235,259,265,273,274,291,292,293,294,295,
296,297,298,299,300,301,302,303,304,305,307,308,309,310,311,312,313,314,315,
317,318,319,320,321,322,323,324,325,326,329,330,334,335,341,342,343,345,675,
676,677,678,679,681,682,683,685,745,747,748,752,754,768,832,833,834,1410],[1,2
,3,4,11,12,13,14,15,16,17,18,19,20,21,24,25,53,54,56,58,59,60,61,63,64,66,67,
68,69,70,71,72,78,82,83,84,85,86,89,90,91,94,95,96,97,98,99,100,102,103,104,
105,111,112,113,114,115,223,226,230,235,266,273,274,291,292,293,294,295,296,
297,298,299,301,302,304,305,306,307,308,309,310,311,312,313,314,315,316,317,
318,319,320,321,322,323,324,325,326,327,328,329,330,335,336,342,343,344,345,
672,673,678,679,680,681,682,683,686,746,748,749,750,754,829,830,831,833,1411],
[1,2,3,4,12,13,14,15,16,17,18,19,20,21,24,25,53,54,56,58,59,60,63,64,68,71,88,
90,93,94,95,100,103,104,105,223,230,260,266,267,276,277,291,292,295,298,336,
348,738,750,755,770,771,1412],[1,2,3,4,10,11,12,13,14,15,16,17,19,20,21,22,23,
24,25,51,53,54,55,56,57,62,63,64,65,67,68,69,70,71,74,76,77,80,81,82,87,88,89,
90,91,92,93,100,101,103,104,105,108,109,110,228,230,233,257,260,261,264,265,
266,267,270,271,273,274,276,277,278,280,282,285,288,289,290,336,340,346,350,
740,755,756,758,766,769,772,773,774,1413],[1,2,3,4,9,10,12,13,14,15,16,17,19,
20,22,23,50,51,52,53,54,55,56,62,63,64,65,71,73,74,75,76,77,79,80,81,101,108,
109,110,219,221,227,228,229,230,231,258,280,281,282,283,284,285,286,287,288,
289,290,332,339,340,665,668,734,743,763,764,765,766,767,1414],[1,2,3,4,9,10,11
,12,13,14,15,16,17,18,19,20,21,24,25,50,51,52,53,54,55,56,57,58,59,60,61,62,63
,64,65,67,68,69,70,71,82,89,90,91,94,95,100,103,104,105,111,112,221,222,223,
225,226,228,229,230,231,232,233,257,264,265,266,273,274,291,292,293,294,295,
296,297,298,299,333,334,335,336,668,669,735,750,751,752,753,754,756,1415],[1,2
,3,4,9,11,12,13,14,15,16,17,18,21,24,25,49,50,52,54,55,57,58,59,60,61,64,66,67
,68,69,70,72,78,82,83,84,85,86,89,90,91,94,95,102,105,111,113,114,115,220,222,
223,225,226,229,232,233,235,259,274,296,297,298,300,301,302,303,304,305,306,
307,308,309,310,311,312,313,314,315,333,341,342,343,666,669,736,744,745,746,
747,748,749,753,768,1416],[1,2,3,4,9,10,11,12,13,14,15,16,17,19,20,21,22,23,50
,51,52,53,54,55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,87,92
,101,106,107,108,109,110,218,221,228,229,230,231,232,233,234,258,261,262,263,
268,269,270,271,272,275,278,279,281,283,284,285,286,287,290,331,337,338,340,
667,668,737,742,757,758,759,760,761,762,767,1417],[1,2,3,4,9,11,12,13,14,15,16
,17,18,21,22,23,50,52,54,55,57,58,59,60,61,64,67,68,69,70,101,106,107,108,109,
110,222,223,225,226,229,232,233,236,242,245,250,331,337,338,340,669,737,784,
789,793,1418],[1,2,3,4,9,11,12,13,14,15,16,17,21,22,23,24,25,50,52,54,55,57,64
,67,68,69,70,100,101,103,104,105,106,107,108,109,110,111,112,218,229,232,233,
234,237,243,244,247,251,331,333,334,335,336,337,338,340,667,735,737,788,791,
792,794,1419],[1,2,3,4,9,11,12,13,14,15,16,17,18,21,24,25,50,52,54,55,57,58,59
,60,61,64,67,68,69,70,102,105,111,113,114,115,222,223,225,226,229,232,233,238,
254,255,256,333,341,342,343,669,736,796,797,798,1420],[1,2,3,4,10,13,14,15,16,
18,19,21,25,51,58,59,60,62,63,64,65,68,91,94,95,103,111,112,219,223,227,228,
252,264,293,294,295,297,334,665,705,706,751,790,1421],[1,2,3,4,11,12,13,14,15,
16,17,18,19,20,21,22,23,25,53,54,55,56,57,58,59,60,61,63,64,67,68,69,70,71,76,
80,87,89,92,94,95,101,103,108,109,110,111,112,224,225,226,230,233,234,236,242,
244,245,251,261,265,270,271,278,285,295,296,299,334,340,670,694,707,711,752,
758,784,792,1422],[1,2,3,4,10,11,12,13,14,15,16,17,18,19,21,23,24,25,51,54,55,
57,58,59,60,61,62,63,64,65,67,68,69,70,77,79,82,87,89,90,91,92,100,103,104,105
,106,107,110,224,225,226,228,233,234,242,243,250,251,257,263,264,265,266,268,
271,273,274,279,284,336,337,670,696,707,708,709,756,759,789,791,1423],[1,2,3,4
,9,11,12,13,14,15,16,17,19,20,21,23,25,50,52,53,54,55,56,57,63,64,67,68,69,70,
71,75,81,87,89,92,94,95,103,106,107,110,111,112,218,229,230,232,233,234,242,
247,250,251,262,265,269,271,272,275,286,295,296,299,334,337,667,695,707,710,
752,760,789,794,1424],[1,2,3,4,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,
50,52,53,54,55,56,57,58,59,60,61,63,64,67,68,69,70,71,75,76,80,81,87,90,92,94,
95,100,101,103,104,105,106,107,108,109,110,222,223,225,226,229,230,232,233,237
,243,244,245,247,250,251,261,262,266,269,270,271,272,275,278,285,286,291,292,
295,298,336,337,340,669,700,709,710,711,750,758,760,788,791,793,1425],[1,2,3,4
,9,10,11,12,13,14,15,16,17,18,19,21,22,23,25,50,51,52,54,55,57,58,59,60,61,62,
63,64,65,67,68,69,70,73,74,75,76,77,79,80,81,87,91,92,94,95,101,103,106,107,
108,109,110,111,112,222,223,225,226,228,229,232,233,244,245,247,250,251,258,
263,264,268,271,279,281,283,284,285,286,287,290,293,294,295,297,334,337,340,
669,701,708,710,711,751,759,767,792,793,794,1426],[1,2,3,4,9,11,12,13,14,15,16
,17,21,24,25,49,50,52,54,55,57,64,66,67,68,69,70,78,82,85,86,89,90,91,102,105,
113,114,218,220,229,232,233,234,238,254,255,259,274,300,301,302,303,304,305,
343,667,687,691,692,693,768,796,1427],[1,2,3,4,9,11,12,13,14,15,16,17,18,21,25
,50,52,54,55,57,60,64,66,67,68,69,70,72,83,84,86,91,94,95,111,113,115,218,229,
232,233,234,235,254,256,297,300,307,308,309,310,311,341,667,691,713,714,747,
797,1428],[1,2,3,4,11,12,13,14,15,16,17,18,21,24,25,54,55,57,58,59,60,61,64,66
,67,68,69,70,72,83,84,85,86,90,91,94,95,102,105,111,113,114,115,224,225,226,
233,234,235,238,254,255,256,297,298,300,302,306,307,308,309,310,311,314,315,
341,343,670,692,713,714,715,746,747,796,798,1429],[1,2,3,4,11,12,13,14,15,16,
17,18,21,24,25,49,54,55,57,58,59,60,61,64,66,67,68,69,70,78,82,83,84,85,86,89,
90,91,94,95,102,105,111,113,114,115,220,224,225,226,233,234,254,255,256,259,
274,296,300,301,302,303,304,305,307,308,311,312,313,341,343,670,693,712,713,
714,715,745,768,797,798,1430],[1,2,3,4,10,11,12,13,14,15,16,17,19,21,23,24,25,
51,55,57,62,63,64,65,67,68,69,70,77,79,82,87,89,90,91,92,100,103,104,105,106,
107,110,219,227,228,233,239,240,246,249,257,263,264,265,266,268,271,273,274,
279,284,336,337,665,689,697,698,699,756,759,785,787,1431],[1,2,3,4,9,10,11,12,
13,14,15,16,17,19,21,22,23,24,25,50,51,52,54,55,57,62,63,64,65,67,68,69,70,73,
74,75,76,77,79,80,81,82,89,90,91,100,101,103,104,105,108,109,110,218,228,229,
232,233,234,236,237,242,243,244,245,247,257,258,264,265,266,273,274,281,283,
284,285,286,287,290,336,340,667,688,694,695,696,700,701,756,767,784,788,1432],
[1,2,3,4,9,10,12,13,14,15,16,17,19,20,22,23,24,25,50,51,52,53,54,55,56,62,63,
64,65,71,74,75,76,77,81,87,88,92,93,100,101,103,104,105,106,107,108,109,110,
221,228,229,230,231,237,240,241,243,244,247,248,249,260,262,267,269,271,272,
275,276,277,280,282,286,288,289,290,336,337,340,668,690,702,703,704,755,760,
766,786,787,788,1433],[1,2,3,4,9,11,12,13,14,15,16,17,18,21,24,25,50,52,54,55,
60,64,67,78,82,83,84,85,86,89,90,91,94,95,96,97,98,99,100,102,103,104,105,111,
112,113,114,115,222,229,274,296,297,298,301,306,311,316,317,318,319,320,321,
322,323,324,325,326,327,328,329,330,333,334,335,336,341,342,343,344,345,733,
735,736,744,753,829,830,831,832,833,834,1434],[1,2,4,10,11,12,13,19,20,22,23,
24,49,51,57,71,74,76,77,78,82,87,88,96,100,102,108,116,257,259,260,261,280,316
,346,352,358,362,671,769,778,813,821,1435],[1,2,3,4,10,11,12,13,16,19,20,21,22
,23,24,25,51,57,66,68,71,74,76,77,82,85,86,87,88,91,99,100,103,108,113,114,116
,257,260,261,264,280,300,304,328,329,346,352,361,363,684,769,778,814,828,1436]
,[1,2,3,4,11,12,13,14,16,17,19,20,21,22,23,24,25,63,66,68,69,71,76,78,80,81,82
,85,86,88,89,90,91,92,96,99,100,102,104,108,114,116,260,266,270,273,289,302,
304,305,316,327,328,330,346,352,358,361,362,363,686,772,783,813,814,821,828,
1437],[1,2,3,4,11,12,13,14,19,20,21,22,23,25,57,59,63,66,71,76,81,84,86,87,89,
91,93,94,98,103,108,112,113,115,117,261,265,267,289,294,300,312,317,324,350,
355,360,365,675,773,779,818,827,1438],[1,2,3,4,11,12,13,14,19,20,21,22,23,25,
57,58,63,66,71,76,81,83,86,87,89,91,93,95,97,103,108,112,113,115,117,261,265,
267,289,293,300,313,318,323,350,355,359,364,676,773,779,817,826,1439],[1,3,4,
14,18,20,21,24,25,53,58,72,84,85,88,90,93,94,96,97,104,114,116,117,276,291,314
,319,327,348,354,356,358,359,363,365,673,771,781,815,819,822,824,1440],[1,3,4,
14,18,20,21,24,25,53,59,72,83,85,88,90,93,95,96,98,104,114,116,117,276,292,315
,320,327,348,354,356,358,360,363,364,672,770,782,815,820,823,824,1441],[1,3,4,
11,14,17,20,21,24,25,53,58,66,69,78,83,86,88,89,90,93,94,95,98,99,104,112,113,
114,115,116,117,276,291,299,305,307,313,320,321,324,326,348,354,356,360,361,
362,364,679,771,781,816,820,823,825,1442],[1,3,4,11,14,17,20,21,24,25,53,59,66
,69,78,84,86,88,89,90,93,94,95,97,99,104,112,113,114,115,116,117,276,292,299,
305,308,312,319,322,323,326,348,354,356,359,361,362,365,678,770,782,816,819,
822,825,1443],[1,2,3,4,10,12,13,16,18,19,20,21,22,23,25,51,68,71,72,74,77,80,
83,84,91,92,93,97,98,103,108,115,117,264,267,270,280,310,317,318,350,355,359,
360,364,365,674,774,780,817,818,826,827,1444],[1,2,3,4,13,14,15,16,18,21,22,23
,58,59,60,64,68,101,106,107,108,109,110,223,245,250,337,340,347,351,741,775,
793,1445],[1,2,4,9,10,11,12,13,22,23,24,50,51,57,73,74,82,100,101,107,116,218,
236,237,239,257,258,352,688,718,778,1446],[1,2,4,10,11,12,13,19,23,24,51,57,65
,77,82,87,100,102,107,116,219,238,239,240,257,263,352,689,716,778,1447],[1,2,3
,4,10,11,12,13,14,15,16,17,21,23,24,51,54,55,57,69,70,77,79,82,100,107,110,116
,234,239,242,243,257,284,352,696,718,778,1448],[1,2,4,10,11,12,13,19,23,24,25,
51,57,65,77,82,87,100,107,113,116,219,239,240,254,257,263,352,689,719,778,1449
],[1,2,3,4,11,12,13,14,15,16,17,19,21,22,25,54,55,57,63,69,70,76,80,89,101,103
,112,117,234,236,244,252,265,285,355,694,727,779,1450],[1,2,4,10,11,12,13,14,
19,23,25,57,63,65,77,87,89,103,107,113,117,227,246,249,254,263,265,355,698,726
,779,1451],[1,2,4,10,11,12,13,14,19,23,25,57,63,65,77,87,89,103,107,113,117,
227,246,249,254,263,265,355,698,725,779,1452],[1,2,4,9,11,12,13,14,19,23,25,50
,57,63,75,81,89,103,110,112,117,218,242,247,252,265,286,355,695,727,779,1453],
[1,2,3,4,12,13,14,15,16,17,18,19,21,23,24,25,55,60,61,63,68,70,87,90,92,100,
110,112,116,225,243,250,252,266,271,352,709,730,783,1454],[1,2,3,4,10,12,13,15
,16,17,18,21,23,25,51,55,60,61,68,70,77,79,91,103,107,110,117,225,239,250,251,
264,284,355,708,722,780,1455],[1,2,4,9,10,11,12,13,19,20,22,23,24,50,51,57,65,
71,73,74,75,76,77,82,87,88,100,101,107,108,218,219,221,236,237,239,240,241,257
,258,260,261,262,263,280,281,282,331,332,346,347,688,689,690,742,743,769,799,
800,809,1456],[1,2,4,9,10,11,12,13,14,19,20,22,23,25,50,57,63,65,71,73,75,76,
77,81,87,89,93,103,107,108,110,218,221,227,242,246,247,248,249,261,262,263,265
,267,281,286,288,289,331,339,350,351,695,698,703,742,764,773,801,802,810,1457]
,[1,2,3,4,10,11,12,13,14,15,16,17,19,20,21,22,23,24,51,54,55,56,57,62,65,69,70
,71,74,76,77,79,80,81,82,87,88,92,100,106,107,108,109,110,219,231,234,239,240,
242,243,248,257,260,261,263,269,272,278,279,280,284,287,288,290,338,339,346,
351,689,696,704,762,765,769,802,803,811,1458],[1,2,3,4,10,11,12,13,14,15,16,17
,19,20,21,22,23,25,54,55,56,57,62,63,65,69,70,71,74,76,77,79,80,81,87,89,92,93
,101,103,106,107,108,109,227,231,234,236,241,244,246,249,261,263,265,267,269,
272,278,279,282,285,287,289,290,332,338,347,350,694,698,702,762,763,773,800,
805,812,1459],[1,2,3,4,9,10,12,13,15,16,17,19,20,21,22,23,25,50,51,52,55,56,62
,65,68,70,71,73,74,75,76,77,79,80,81,87,91,92,93,101,103,106,107,108,109,110,
219,221,231,232,239,241,244,245,247,248,249,258,262,264,267,268,270,272,275,
278,279,280,281,282,283,284,287,288,331,332,338,339,347,350,351,697,701,702,
703,743,757,761,765,774,799,803,804,806,810,812,1460],[1,2,3,4,9,10,12,13,14,
15,16,17,19,20,21,22,23,24,50,52,55,56,62,63,65,68,70,71,73,74,75,76,77,79,80,
81,87,88,90,92,100,101,106,107,108,109,110,221,227,231,232,237,240,241,243,245
,246,248,260,262,266,268,270,272,275,278,279,281,282,283,285,286,287,288,289,
331,332,338,339,346,347,351,690,699,700,704,757,761,763,764,772,801,804,805,
806,809,811,1461],[1,2,4,10,11,12,13,19,20,22,23,24,51,57,71,74,76,77,82,87,88
,100,102,107,108,238,239,257,260,261,280,346,716,718,769,1462],[1,2,4,10,11,12
,13,19,20,22,23,24,25,51,57,71,74,76,77,82,87,88,100,107,108,113,239,254,257,
260,261,280,346,718,719,769,1463],[1,2,4,11,12,13,14,19,20,22,23,25,57,63,71,
76,81,87,89,93,103,108,112,113,252,254,261,265,267,289,350,726,727,773,1464],[
1,2,4,11,12,13,14,19,20,22,23,25,57,63,71,76,81,87,89,93,103,108,112,113,252,
254,261,265,267,289,350,725,727,773,1465],[1,2,3,4,9,12,13,14,15,16,17,19,20,
23,24,25,50,52,53,54,55,56,63,64,71,75,81,87,88,92,93,100,103,104,105,106,107,
110,111,112,229,230,253,260,262,267,269,271,272,275,276,277,286,333,334,335,
336,337,349,735,739,755,760,795,807,808,1466],[1,2,3,4,9,10,12,13,14,15,16,17,
19,20,22,23,50,51,52,53,54,55,56,62,63,64,65,71,73,74,75,76,77,79,80,81,87,92,
101,106,107,108,109,110,228,229,230,239,241,246,248,258,262,269,271,272,275,
280,281,282,283,284,285,286,287,288,289,290,331,337,338,340,347,351,737,741,
760,766,767,785,786,799,801,803,805,1467],[1,2,3,4,10,11,12,13,14,15,16,17,19,
20,21,22,23,51,53,54,55,56,57,62,63,64,65,67,68,69,70,71,74,76,77,79,80,81,87,
92,101,106,107,108,109,110,228,230,233,236,241,242,245,248,261,263,268,270,271
,278,279,280,282,284,285,288,289,290,332,337,339,340,347,351,734,741,758,759,
766,784,786,800,802,804,806,1468],[1,2,3,4,10,11,12,13,14,15,16,17,19,21,24,25
,51,55,57,62,63,64,65,67,68,69,70,82,89,90,91,100,103,104,105,117,228,233,257,
264,265,266,273,274,336,353,354,355,756,779,780,836,1469],[1,2,3,4,12,13,14,15
,16,17,18,19,20,21,24,25,53,54,56,58,59,60,63,64,68,71,90,94,95,100,103,104,
105,116,117,223,230,266,291,292,295,298,336,352,353,354,355,356,357,750,781,
782,835,836,1470],[1,2,3,4,10,11,12,13,14,15,16,17,19,21,24,25,51,55,57,62,63,
64,65,67,68,69,70,82,89,90,91,100,103,104,105,116,228,233,257,264,265,266,273,
274,336,352,356,357,756,778,783,835,1471],[1,2,3,4,10,11,12,13,14,15,16,17,19,
21,23,24,25,51,55,57,62,63,64,65,67,68,69,70,82,89,90,91,100,103,104,105,106,
107,110,228,233,240,243,249,251,257,264,265,266,273,274,336,337,348,349,738,
739,756,787,791,1472],[1,2,3,4,12,13,14,15,16,17,18,19,20,21,22,23,24,25,53,54
,56,58,59,60,63,64,68,71,90,94,95,100,101,103,104,105,106,107,108,109,110,223,
230,241,245,248,250,266,291,292,295,298,336,337,340,346,349,350,739,740,750,
786,793,1473],[1,2,3,4,9,12,13,14,15,16,17,22,23,24,25,50,52,54,55,64,100,101,
103,104,105,108,109,110,111,112,229,237,243,244,247,333,334,335,336,340,346,
348,350,735,738,740,777,788,1474],[1,2,3,4,9,12,13,14,15,16,17,22,23,24,25,50,
52,54,55,64,100,101,103,104,105,106,107,108,109,110,111,112,229,237,243,244,
247,251,331,334,336,337,338,340,347,349,351,737,739,741,776,777,788,794,1475],
[1,2,3,4,10,11,12,13,14,15,16,17,19,21,22,23,24,25,51,55,57,62,63,64,65,67,68,
69,70,82,89,90,91,100,101,103,104,105,108,109,110,111,112,228,233,244,251,252,
257,264,265,266,273,274,332,334,336,339,340,734,756,777,790,792,1476],[1,2,3,4
,10,13,14,15,16,18,19,21,22,23,25,51,58,59,60,62,63,64,65,68,91,94,95,101,103,
106,107,108,109,110,111,112,223,228,239,245,246,250,264,293,294,295,297,332,
334,337,339,340,734,751,776,785,793,1477],[1,2,3,4,9,10,12,13,14,15,16,17,19,
22,23,24,25,50,51,52,54,55,62,63,64,65,73,74,75,76,77,79,80,81,100,101,103,104
,105,106,107,108,109,110,111,112,228,229,240,247,249,251,252,258,281,283,284,
285,286,287,290,333,334,335,336,337,340,735,767,776,777,787,790,794,1478],[1,2
,3,4,9,12,13,14,15,16,17,19,20,22,23,25,50,52,53,54,55,56,63,64,71,75,81,87,92
,101,103,106,107,108,109,110,111,112,229,230,241,247,248,251,253,262,269,271,
272,275,286,331,334,337,338,340,737,760,775,776,786,794,795,1479],[1,2,3,4,10,
11,12,13,14,15,16,17,19,21,24,25,51,55,57,62,63,64,65,67,68,69,70,82,89,90,91,
100,103,104,105,111,113,115,228,233,254,256,257,264,265,266,273,274,336,341,
719,725,726,756,797,1480],[1,2,3,4,10,11,12,13,14,15,16,17,19,21,24,25,51,55,
57,62,63,64,65,67,68,69,70,82,89,90,91,100,103,104,105,111,112,228,233,252,257
,264,265,266,273,274,334,336,727,730,756,790,1481],[1,2,3,4,11,12,13,14,15,16,
17,18,21,23,24,25,55,57,60,64,66,67,68,69,70,72,83,84,86,91,94,95,102,105,106,
107,110,111,113,114,115,233,235,238,242,250,254,255,297,300,307,308,309,310,
311,337,341,343,723,728,729,747,789,796,1482],[1,2,3,4,11,12,13,14,15,16,17,21
,23,24,25,49,55,57,64,66,67,68,69,70,78,82,85,86,89,90,91,102,105,106,107,110,
111,113,114,115,220,233,242,250,254,256,259,274,300,301,302,303,304,305,337,
341,343,721,728,729,768,789,797,1483],[1,2,3,4,11,12,13,14,15,16,17,18,21,22,
23,25,55,57,60,64,66,67,68,69,70,72,83,84,86,91,94,95,101,108,109,110,111,113,
115,233,235,236,242,245,254,256,297,300,307,308,309,310,311,340,341,720,728,
729,747,784,797,1484],[1,2,3,4,11,12,13,14,15,16,17,19,20,21,24,25,53,54,55,56
,57,63,64,67,68,69,70,71,89,94,95,102,103,105,111,112,113,114,115,230,233,238,
254,255,256,265,295,296,299,334,341,343,724,725,726,752,796,797,1485],[1,2,3,4
,10,13,14,15,16,18,19,21,23,25,51,58,59,60,62,63,64,65,68,91,94,95,103,106,107
,110,111,112,223,228,239,246,252,264,293,294,295,297,334,337,731,732,751,785,
790,1486],[1,2,3,4,10,11,12,13,14,15,16,17,19,21,24,25,51,55,57,62,63,64,65,67
,68,69,70,82,89,90,91,100,102,103,104,105,113,114,228,233,238,254,255,257,264,
265,266,273,274,336,343,716,719,724,756,796,1487],[1,2,3,4,10,11,12,13,14,15,
16,17,19,21,23,24,25,51,55,57,62,63,64,65,67,68,69,70,82,89,90,91,100,103,104,
105,106,107,110,228,233,239,246,257,264,265,266,273,274,336,337,718,722,756,
785,1488],[1,2,3,4,11,12,13,14,15,16,17,21,22,23,24,25,49,55,57,64,66,67,68,69
,70,78,82,85,86,89,90,91,101,102,105,108,109,110,113,114,220,233,236,238,242,
245,254,255,259,274,300,301,302,303,304,305,340,343,717,720,721,723,768,784,
796,1489],[1,2,3,4,9,10,12,13,14,15,16,17,19,20,23,25,50,51,52,53,54,55,56,62,
63,64,65,71,103,106,107,110,111,112,221,228,229,230,231,239,246,247,251,252,
253,334,337,668,785,790,794,795,1490],[1,2,3,4,11,12,13,14,15,16,17,21,22,23,
24,25,55,57,64,67,68,69,70,100,101,103,104,105,106,107,108,109,110,111,112,233
,236,242,243,244,245,251,334,336,337,340,346,347,350,351,740,741,776,777,784,
791,792,1491],[1,2,3,4,9,10,12,13,14,15,16,17,19,22,23,24,25,50,51,52,54,55,62
,63,64,65,73,74,75,76,77,79,80,81,100,101,103,104,105,106,107,108,109,110,228,
229,237,240,243,244,247,249,258,281,283,284,285,286,287,290,331,332,336,337,
338,339,340,346,347,350,351,734,737,740,741,767,787,788,809,810,811,812,1492],
[1,2,3,4,11,12,13,14,15,17,19,20,21,24,25,53,54,56,63,64,67,71,78,82,85,86,88,
89,90,91,93,96,99,100,102,103,104,105,113,114,116,230,260,267,274,276,277,301,
316,326,327,328,329,330,336,343,344,352,356,357,358,361,362,363,755,813,814,
815,816,829,835,837,844,1493],[1,2,3,4,12,13,14,15,16,17,18,19,20,21,24,25,53,
54,56,60,63,64,71,83,84,85,88,91,93,94,95,97,98,99,100,103,104,105,111,114,115
,117,230,260,267,276,277,297,306,317,318,319,320,325,328,336,342,345,353,354,
355,359,360,364,365,755,817,818,819,820,830,836,838,843,1494],[1,2,3,4,11,13,
14,15,21,23,24,25,64,67,78,82,85,86,89,90,91,96,99,100,102,103,104,105,106,107
,110,113,114,117,274,301,316,326,327,328,329,330,336,337,343,344,349,353,354,
355,739,829,836,840,846,1495],[1,2,3,4,13,14,15,16,18,21,23,24,25,60,64,83,84,
85,91,94,95,97,98,99,100,103,104,105,106,107,110,111,114,115,116,297,306,317,
318,319,320,325,328,336,337,342,345,349,352,356,357,739,830,835,839,845,1496],
[1,2,3,4,10,11,12,13,14,15,16,17,19,20,21,22,23,25,51,53,54,55,56,57,62,63,64,
65,67,68,69,70,71,74,76,77,79,81,87,89,92,94,95,101,103,106,107,108,109,110,
111,112,228,230,233,244,251,252,253,263,265,268,271,279,280,282,284,288,289,
290,295,296,299,334,337,340,752,759,766,776,790,792,795,1497],[1,2,3,4,10,12,
13,14,15,16,17,18,19,20,21,22,23,24,25,51,53,54,56,58,59,60,62,63,64,65,68,71,
74,76,77,81,90,91,94,95,100,101,103,104,105,106,107,108,109,110,111,112,223,
228,230,240,245,249,250,253,264,266,280,282,288,289,290,291,292,293,294,295,
297,298,334,336,337,340,750,751,766,777,787,793,795,1498],[1,2,3,4,11,12,13,14
,15,16,17,19,20,21,22,23,24,25,53,54,55,56,57,63,64,67,68,69,70,71,76,80,87,88
,89,92,93,94,95,100,101,103,104,105,106,107,108,109,110,111,112,230,233,241,
243,248,251,253,260,261,265,267,270,271,276,277,278,285,295,296,299,334,336,
337,340,752,755,758,777,786,791,795,1499],[1,2,3,4,13,14,15,16,18,21,22,23,24,
25,60,64,83,84,85,91,94,95,97,98,99,100,101,103,104,105,108,109,110,111,114,
115,117,297,306,317,318,319,320,325,328,336,340,342,345,346,350,353,354,355,
740,826,827,830,836,1500],[1,2,3,4,13,14,15,16,18,21,24,25,60,64,83,84,85,91,
94,95,97,98,99,100,103,104,105,111,114,115,116,297,306,317,318,319,320,325,328
,336,342,345,348,352,356,357,738,822,823,830,835,1501],[1,2,3,4,11,13,14,15,21
,24,25,64,67,78,82,85,86,89,90,91,96,99,100,102,103,104,105,113,114,117,274,
301,316,326,327,328,329,330,336,343,344,348,353,354,355,738,824,825,829,836,
1502],[1,2,3,4,11,13,14,15,21,22,23,24,25,64,67,78,82,85,86,89,90,91,96,99,100
,101,102,103,104,105,108,109,110,113,114,116,274,301,316,326,327,328,329,330,
336,340,343,344,346,350,352,356,357,740,821,828,829,835,1503],[1,2,3,4,11,12,
13,14,15,16,17,19,20,21,22,23,25,53,54,55,56,57,63,64,67,68,69,70,71,76,80,87,
92,101,103,106,107,108,109,110,111,112,230,233,241,242,244,248,250,251,253,261
,270,271,278,285,334,337,340,347,351,741,758,776,786,789,792,795,1504],[1,2,3,
4,10,11,12,13,14,15,16,17,19,21,23,24,25,51,55,57,62,63,64,65,67,68,69,70,77,
79,87,92,100,103,104,105,106,107,110,228,233,239,240,242,243,246,249,250,251,
263,268,271,279,284,336,337,349,739,759,775,785,787,789,791,1505],[1,2,3,4,9,
12,13,14,15,16,17,24,25,50,52,54,55,64,100,103,104,105,111,112,116,117,229,333
,334,335,336,352,353,354,355,356,357,735,835,836,841,842,1506],[1,2,3,4,9,11,
15,16,17,18,19,20,21,23,24,25,52,56,60,67,75,78,83,84,85,86,88,92,93,105,106,
111,116,117,222,253,275,277,301,306,311,333,349,353,357,362,363,364,365,744,
807,837,838,842,845,846,1507],[1,2,3,4,9,15,16,17,19,20,23,24,25,52,56,75,88,
92,93,96,97,98,99,105,106,111,116,117,253,275,277,333,344,345,349,353,357,358,
359,360,361,733,807,839,840,842,843,844,1508],[1,2,3,4,12,14,15,16,17,18,19,20
,21,23,24,25,54,56,60,81,83,84,85,87,88,90,93,94,95,96,99,104,105,106,111,112,
114,115,116,117,253,269,277,298,306,321,322,325,327,335,342,344,349,353,357,
358,361,364,365,808,831,838,840,841,844,845,1509],[1,2,3,4,11,12,14,15,17,19,
20,21,23,24,25,54,56,67,78,81,85,86,87,88,89,93,94,95,97,98,99,104,105,106,111
,112,113,115,116,117,253,269,277,296,301,323,324,325,326,335,341,345,349,353,
357,359,360,362,363,808,832,837,839,841,843,846,1510],[1,2,26,48,130,214,847,
1511],[1,2,5,6,9,10,22,28,29,40,73,118,139,141,153,168,199,366,445,447,474,857
,1512],[1,2,4,5,6,8,10,12,22,31,32,34,40,74,121,140,143,155,174,199,367,448,
454,479,865,1513],[1,2,4,5,6,8,9,19,23,31,32,34,44,75,121,139,145,156,177,200,
367,449,455,480,866,1514],[1,2,4,5,6,9,19,23,32,35,40,75,118,139,141,153,180,
201,369,449,457,484,857,1515],[1,2,3,5,6,8,10,16,23,30,33,37,40,79,121,140,143
,155,175,201,372,453,458,476,865,1516],[1,2,3,6,7,10,16,23,33,36,44,79,124,140
,146,159,182,200,370,453,461,486,869,1517],[1,2,4,5,6,8,10,12,23,32,35,38,40,
77,121,140,143,155,174,201,379,452,464,485,865,1518],[1,2,4,5,7,8,9,19,23,32,
38,39,43,75,125,139,142,154,194,203,376,449,467,496,860,1519],[1,2,4,8,9,19,23
,38,43,75,123,145,154,194,203,373,471,496,858,1520],[1,2,4,8,9,19,23,38,43,75,
122,145,154,194,203,374,471,496,859,1521],[1,2,4,6,7,9,19,23,35,39,44,75,124,
141,142,156,195,204,375,457,467,497,861,1522],[1,2,4,5,7,8,9,19,23,32,38,39,40
,75,125,142,145,153,180,201,376,467,471,484,862,1523],[1,2,4,6,7,8,9,19,23,35,
38,39,44,75,126,142,145,156,195,204,377,467,471,497,864,1524],[1,2,4,6,7,8,9,
19,23,35,38,39,43,75,126,141,142,145,154,194,203,377,457,467,471,496,863,1525]
,[1,2,4,5,6,8,9,19,23,32,35,38,44,75,121,139,145,156,195,204,379,449,471,497,
866,1526],[1,2,4,5,6,8,9,19,23,32,35,38,40,75,121,141,145,153,180,201,379,457,
471,484,867,1527],[1,2,4,6,8,9,19,23,35,38,44,75,120,141,145,156,195,204,378,
457,471,497,868,1528],[1,2,4,6,7,10,12,23,35,39,44,77,124,140,146,159,188,204,
375,452,470,498,869,1529],[1,2,4,6,7,8,10,12,23,35,38,39,44,77,126,143,146,159
,188,204,377,464,470,498,870,1530],[1,2,4,5,7,8,10,12,23,32,38,39,40,77,125,
143,146,155,174,201,376,464,470,485,871,1531],[1,3,4,5,6,8,11,21,25,30,33,37,
41,86,121,144,148,157,181,202,372,459,469,495,873,1532],[1,4,5,6,8,11,14,25,32
,35,38,41,89,121,144,148,157,171,202,379,460,472,492,873,1533],[1,4,5,7,8,20,
25,32,38,39,41,93,125,147,151,161,190,202,376,468,473,493,874,1534],[1,2,4,5,6
,10,12,22,28,29,31,40,42,74,118,168,172,366,380,381,848,876,877,1535],[1,2,3,4
,5,6,16,19,22,28,29,32,33,41,45,80,118,179,185,366,382,383,848,878,880,1536],[
1,2,4,5,6,12,19,23,28,29,31,32,41,42,81,118,172,179,366,380,383,849,877,880,
1537],[1,2,3,5,6,10,16,23,28,29,33,40,45,79,118,168,185,366,381,382,849,876,
878,1538],[1,2,4,5,6,10,12,23,28,29,31,40,42,77,118,168,172,366,380,381,849,
876,877,1539],[1,2,3,4,5,6,16,19,23,28,29,32,33,41,45,92,118,179,185,366,382,
383,849,878,880,1540],[1,2,3,4,5,6,13,21,25,28,32,33,35,40,45,91,118,173,183,
369,381,382,852,884,894,1541],[1,4,5,6,20,25,31,32,35,41,42,93,118,178,190,369
,380,383,852,882,895,1542],[1,4,8,20,24,34,38,46,88,119,197,371,403,850,902,
1543],[1,4,8,20,25,34,38,46,93,119,197,371,403,851,902,1544],[1,3,4,6,7,21,25,
33,35,36,39,45,47,83,124,183,198,375,394,395,856,898,900,1545],[1,3,4,6,7,21,
25,33,35,36,39,45,47,84,124,183,198,375,394,396,855,898,899,1546],[1,4,8,20,25
,34,38,46,93,123,197,373,400,853,908,1547],[1,4,8,20,25,34,38,46,93,122,197,
374,399,854,909,1548],[1,2,3,4,6,7,13,21,25,29,35,36,39,44,47,91,124,189,198,
375,393,395,855,900,904,1549],[1,2,3,4,6,7,13,21,25,29,35,36,39,44,47,91,124,
189,198,375,393,396,856,899,904,1550],[1,2,3,4,8,9,15,16,34,37,43,52,119,154,
191,193,368,371,406,558,912,917,920,1551],[1,2,4,5,6,9,12,13,28,29,32,35,40,44
,50,118,153,156,173,174,188,189,366,369,405,528,551,911,918,919,1552],[1,2,3,4
,5,6,8,9,15,16,30,31,32,33,34,37,40,43,44,52,121,153,154,156,170,175,182,184,
191,193,367,372,408,529,552,558,914,921,922,1553],[1,2,4,5,6,10,13,19,28,29,32
,35,40,44,65,118,155,159,173,180,189,195,366,369,405,556,561,915,918,924,1554]
,[1,2,3,4,5,6,8,15,17,19,20,30,31,32,33,34,35,37,38,40,41,42,43,44,46,56,121,
158,163,164,170,176,178,180,184,187,190,191,192,194,195,197,367,372,379,408,
409,535,550,564,916,922,923,926,927,1555],[1,4,8,24,34,96,119,371,850,1556],[1
,4,8,25,34,97,119,371,851,1557],[1,4,8,25,34,98,119,371,851,1558],[1,4,8,24,25
,34,99,119,371,850,851,1559],[1,4,8,25,38,97,122,374,854,1560],[1,4,8,25,38,98
,123,373,853,1561],[1,2,5,6,9,10,22,28,40,73,118,139,141,153,155,206,381,445,
569,857,1562],[1,2,4,5,6,9,19,23,32,40,41,75,118,139,141,153,158,205,383,449,
570,857,1563],[1,2,5,6,8,9,10,22,29,40,73,121,140,143,153,155,206,386,446,569,
865,1564],[1,2,4,5,6,8,10,12,23,35,40,41,77,121,140,143,155,162,205,390,452,
571,865,1565],[1,2,5,6,8,9,10,22,28,44,73,121,139,145,156,159,208,387,445,574,
866,1566],[1,2,4,5,6,8,9,19,23,32,42,44,75,121,139,145,156,163,209,384,449,575
,866,1567],[1,2,4,6,8,9,19,23,34,42,44,75,120,141,145,156,163,209,385,455,575,
868,1568],[1,2,6,7,9,10,22,29,44,73,124,140,146,156,159,208,393,446,574,869,
1569],[1,2,4,5,7,8,10,12,22,34,40,41,74,125,143,146,155,162,206,402,454,576,
871,1570],[1,2,4,5,6,8,10,12,22,31,40,41,74,121,140,143,155,162,206,388,448,
576,865,1571],[1,2,4,5,7,8,9,19,23,32,43,46,75,125,139,142,154,164,210,401,449
,580,860,1572],[1,2,4,8,9,19,23,34,43,46,75,122,145,154,164,210,399,455,580,
859,1573],[1,2,4,8,9,19,23,34,43,46,75,123,145,154,164,210,400,455,580,858,
1574],[1,2,4,5,7,8,9,19,23,34,40,41,75,125,142,145,153,158,205,402,455,570,862
,1575],[1,4,5,7,8,20,24,34,41,88,125,147,151,161,207,402,456,579,874,1576],[1,
2,5,6,8,9,10,22,29,40,73,121,141,145,153,155,206,386,447,569,867,1577],[1,2,6,
7,9,10,22,29,44,73,124,141,142,156,159,208,393,447,574,861,1578],[1,2,4,5,6,8,
11,13,24,29,40,41,82,121,144,148,157,160,207,386,450,577,873,1579],[1,4,5,6,8,
11,24,31,41,78,121,144,148,157,207,388,451,573,873,1580],[1,2,3,6,7,10,16,23,
33,44,45,79,124,140,146,159,166,209,394,453,582,869,1581],[1,2,3,6,7,8,10,16,
23,36,44,45,79,126,143,146,159,166,209,398,461,582,870,1582],[1,2,4,7,8,9,19,
23,39,43,46,75,127,142,154,164,210,404,467,580,872,1583],[1,2,4,5,6,9,12,13,28
,32,40,50,118,139,141,153,173,174,381,500,528,857,1584],[1,2,3,4,5,6,9,15,16,
30,32,40,41,52,118,139,141,153,170,175,383,502,529,857,1585],[1,2,4,5,6,8,10,
13,28,32,40,42,51,121,140,143,155,168,173,384,501,536,865,1586],[1,2,3,4,5,6,8
,10,15,19,30,32,40,45,62,121,140,143,155,170,180,391,504,538,865,1587],[1,2,3,
4,5,6,8,9,15,16,31,33,41,44,52,121,139,145,156,182,184,388,502,552,866,1588],[
1,2,3,4,6,8,9,15,16,31,33,44,46,52,120,141,145,156,182,184,389,511,552,868,
1589],[1,2,3,4,6,7,10,15,19,31,33,44,45,62,124,140,146,159,177,184,394,504,547
,869,1590],[1,2,3,4,6,7,8,10,15,19,31,33,44,47,62,126,143,146,159,177,184,397,
514,547,870,1591],[1,2,4,5,6,8,9,12,13,29,35,40,44,50,121,139,145,156,188,189,
386,500,551,866,1592],[1,2,4,5,6,8,10,13,19,28,32,40,44,65,121,140,143,155,173
,180,387,505,556,865,1593],[1,2,4,5,7,8,10,13,28,32,40,46,51,125,143,146,155,
168,173,401,508,536,871,1594],[1,2,4,6,7,10,13,19,29,35,44,65,124,140,146,159,
189,195,393,505,561,869,1595],[1,2,3,4,5,7,8,9,15,16,30,32,40,46,52,125,142,
145,153,170,175,401,511,529,862,1596],[1,2,3,4,8,9,15,16,34,37,43,46,52,123,
145,154,191,193,400,511,558,858,1597],[1,2,3,4,8,9,15,16,34,37,43,46,52,122,
145,154,191,193,399,511,558,859,1598],[1,2,3,4,5,7,8,9,15,16,34,37,41,43,52,
125,139,142,154,191,193,402,502,558,860,1599],[1,4,5,7,8,14,20,32,41,46,53,125
,147,151,161,171,190,401,512,530,874,1600],[1,2,4,6,7,9,12,13,29,35,44,50,124,
141,142,156,188,189,393,507,551,861,1601],[1,2,4,5,6,8,9,12,13,28,32,40,44,50,
121,141,145,153,173,174,387,507,528,867,1602],[1,2,3,4,5,6,8,11,15,21,28,30,41
,44,67,121,144,148,157,169,181,387,510,543,873,1603],[1,3,4,5,6,8,11,21,30,41,
45,66,121,144,148,157,181,391,509,542,873,1604],[1,3,4,7,8,18,21,36,39,46,47,
72,127,149,152,167,196,198,404,519,563,875,1605],[1,2,4,5,6,13,23,28,29,32,35,
40,44,107,118,173,189,366,369,405,849,918,1606],[1,2,4,5,6,13,22,23,28,29,32,
35,40,44,108,118,173,189,366,369,405,848,849,918,1607],[1,2,4,5,6,13,25,28,29,
32,35,40,44,103,118,173,189,366,369,405,852,918,1608],[1,2,4,5,6,13,23,28,29,
32,35,40,44,110,118,173,189,366,369,405,849,918,1609],[1,2,3,4,8,15,24,25,34,
37,43,105,119,191,368,371,406,850,851,917,1610],[1,2,3,4,8,15,25,34,37,43,111,
119,191,368,371,406,851,917,1611],[1,3,4,6,7,21,25,33,35,36,39,45,47,115,124,
183,198,370,375,410,855,856,928,1612],[1,2,4,5,6,13,22,28,29,32,35,40,44,101,
118,173,189,199,206,366,369,405,586,918,955,1613],[1,2,4,5,6,13,23,28,29,32,35
,40,44,107,118,173,189,200,209,366,369,405,592,918,954,1614],[1,2,3,4,5,6,8,15
,22,23,30,31,32,33,34,37,40,43,44,109,121,170,184,191,199,200,205,208,367,372,
408,583,590,922,951,953,1615],[1,2,3,4,8,15,23,34,37,43,106,119,191,203,210,
368,371,406,596,917,956,1616],[1,2,4,5,6,10,13,28,29,32,35,40,44,51,118,155,
168,173,189,366,369,381,405,536,876,884,918,930,1617],[1,2,4,5,6,12,13,19,20,
28,29,31,32,35,40,42,44,71,118,163,172,173,177,178,189,366,369,380,405,562,877
,882,918,929,1618],[1,2,3,4,5,6,8,10,15,19,28,30,31,32,33,34,37,40,41,43,44,62
,121,158,159,168,169,170,177,179,184,191,367,372,387,388,408,537,547,885,891,
922,931,937,1619],[1,2,3,4,5,6,8,12,13,15,16,17,29,30,31,32,33,34,35,37,40,41,
42,43,44,45,55,121,160,165,170,172,174,175,176,184,185,186,187,189,191,367,372
,384,386,390,391,408,532,549,883,886,887,888,922,933,938,1620],[1,2,3,4,5,6,8,
15,17,19,20,30,31,32,35,38,40,41,42,43,44,45,56,121,158,165,170,176,177,178,
180,186,190,194,195,379,384,388,391,408,535,548,889,892,926,931,933,1621],[1,2
,3,4,5,6,8,15,17,19,20,28,30,31,32,34,35,38,41,42,44,45,46,56,121,161,165,169,
176,177,178,179,186,190,195,197,367,379,387,388,390,391,409,534,548,886,889,
891,903,927,935,936,1622],[1,2,3,4,6,8,15,17,19,20,31,34,35,37,38,42,43,44,45,
46,56,120,164,165,177,178,186,191,192,194,195,197,378,385,389,392,407,548,564,
890,893,925,932,934,1623],[1,2,3,4,5,6,8,15,17,19,20,28,30,31,32,33,35,37,38,
41,42,44,46,56,121,161,163,169,176,178,179,184,187,190,192,195,372,379,384,387
,388,390,409,534,550,885,888,892,903,923,936,947,1624],[1,2,3,4,5,6,8,12,13,15
,16,17,28,29,30,31,32,33,35,37,38,40,41,42,44,45,46,55,121,162,165,169,172,173
,175,176,184,185,186,187,189,192,372,379,386,387,388,391,409,533,549,885,887,
889,906,923,935,946,1625],[1,2,4,5,6,12,13,19,20,28,29,32,35,40,41,44,71,118,
162,173,174,179,189,190,366,369,383,405,560,880,895,918,942,1626],[1,2,4,5,6,
12,13,19,20,28,32,35,40,41,44,71,118,160,162,173,174,179,180,188,190,369,381,
383,405,559,560,881,895,919,942,945,1627],[1,2,4,5,6,10,13,19,28,29,32,35,40,
41,44,65,118,160,168,173,179,180,189,366,369,381,383,405,557,876,880,881,918,
945,1628],[1,2,4,5,6,10,13,19,28,32,35,40,41,44,65,118,155,160,168,173,179,180
,195,369,381,383,405,556,557,881,884,924,930,945,1629],[1,2,3,4,5,6,12,13,15,
16,17,28,29,31,32,33,35,40,42,44,45,55,118,165,172,173,184,185,186,187,189,366
,369,380,382,405,549,877,878,879,918,939,1630],[1,2,3,4,5,6,15,17,19,20,31,32,
33,35,40,42,44,45,56,118,163,165,177,178,180,184,186,187,195,369,380,382,405,
548,550,879,882,924,929,939,1631],[1,2,3,4,5,6,13,16,21,28,29,32,33,35,40,44,
45,68,118,166,173,182,183,185,189,366,369,382,405,554,878,894,918,943,1632],[1
,2,3,4,5,6,12,15,16,17,21,31,32,33,35,40,42,44,45,70,118,165,166,174,182,183,
184,186,187,188,369,380,382,405,553,555,879,894,919,939,943,1633],[1,2,4,5,6,8
,10,13,19,28,29,32,35,38,40,41,43,44,65,121,159,160,168,173,179,180,189,194,
195,379,386,387,390,408,557,561,903,906,926,937,938,1634],[1,2,3,4,8,15,17,19,
20,34,37,38,43,46,56,119,164,191,192,194,197,368,371,403,406,564,902,907,917,
948,1635],[1,2,3,4,5,6,8,12,15,16,17,21,30,32,33,35,37,40,41,42,43,44,45,70,
121,162,165,170,175,176,181,182,183,187,188,193,372,384,390,391,408,546,553,
888,905,921,933,944,1636],[1,2,3,4,5,6,8,13,16,21,29,30,33,35,37,40,41,43,44,
45,68,121,160,166,175,181,182,183,185,189,193,372,386,390,391,408,544,554,887,
905,921,938,940,1637],[1,2,3,4,5,6,8,12,15,16,17,21,30,31,32,33,34,35,37,40,41
,43,44,45,70,121,162,166,170,175,176,181,183,184,186,188,191,367,372,390,391,
408,546,555,886,905,922,940,944,1638],[1,2,4,5,6,8,12,13,19,20,28,29,31,32,34,
35,38,40,41,42,44,46,71,121,162,163,172,173,174,177,178,179,189,190,197,367,
379,384,386,387,388,409,560,562,883,891,892,906,927,946,947,1639],[1,2,3,4,6,7
,13,16,21,29,33,35,36,39,44,45,47,68,124,166,182,183,185,189,198,370,375,393,
394,410,554,897,898,904,928,949,1640],[1,3,4,6,7,18,21,33,35,36,39,45,47,72,
124,167,183,196,198,370,375,395,396,410,563,896,899,900,928,950,1641],[1,2,4,5
,6,9,12,13,40,41,44,50,118,139,141,153,160,162,405,500,507,522,857,1642],[1,2,
4,5,6,8,10,13,19,40,41,43,44,65,121,140,143,155,158,160,408,505,506,523,865,
1643],[1,2,4,5,6,8,10,13,40,41,42,46,51,121,140,143,155,160,409,501,508,521,
865,1644],[1,2,3,4,6,7,10,15,19,42,44,45,47,62,124,140,146,159,163,165,410,504
,514,527,869,1645],[1,2,3,4,5,6,8,9,15,16,41,42,44,45,46,52,121,139,145,156,
165,166,409,502,511,526,866,1646],[1,4,5,6,8,11,41,42,46,49,121,144,148,157,
409,503,513,520,873,1647],[1,2,4,5,6,10,12,22,28,32,35,40,44,74,118,155,168,
174,188,199,206,369,381,405,479,597,919,930,955,1648],[1,2,3,4,5,6,8,16,19,22,
30,31,33,37,40,41,43,44,80,121,158,175,177,182,193,199,208,372,388,408,475,602
,921,931,953,1649],[1,2,3,5,6,8,10,16,23,28,30,33,37,40,43,44,79,121,159,168,
175,182,193,200,205,372,387,408,486,598,921,937,951,1650],[1,2,3,4,5,6,8,16,19
,23,30,32,35,38,40,43,44,45,92,121,166,175,180,194,195,200,205,379,391,408,487
,605,926,940,951,1651],[1,2,3,4,6,8,16,19,23,35,37,38,43,44,45,92,120,166,193,
194,195,200,210,378,392,407,487,610,925,941,952,1652],[1,2,4,5,6,12,19,23,31,
32,35,40,42,44,87,118,163,174,177,188,200,209,369,380,405,481,604,919,929,954,
1653],[1,2,4,5,6,12,19,22,32,35,40,41,44,76,118,162,174,180,195,199,206,369,
383,405,483,607,924,942,955,1654],[1,2,3,4,5,6,16,19,23,32,33,35,40,44,45,92,
118,166,180,182,195,200,209,369,382,405,487,603,924,943,954,1655],[1,2,4,5,6,8
,12,19,22,32,35,38,40,41,43,44,76,121,162,180,188,194,195,199,208,379,390,408,
483,609,926,944,953,1656],[1,2,3,4,8,16,19,23,37,38,43,46,92,119,164,193,194,
203,210,368,403,406,499,610,920,948,956,1657],[1,2,5,6,9,10,22,28,40,44,73,118
,153,155,156,168,199,206,381,405,474,569,911,930,955,1658],[1,2,4,5,6,9,19,23,
31,40,42,44,75,118,153,156,163,177,200,209,380,405,480,575,911,929,954,1659],[
1,2,4,5,6,8,9,19,23,31,40,41,43,44,75,121,153,154,156,158,177,200,205,388,408,
480,570,914,931,951,1660],[1,2,4,6,8,9,19,23,31,43,44,46,75,120,154,156,164,
177,200,210,389,407,480,580,913,932,952,1661],[1,2,3,4,5,6,8,16,19,22,30,40,41
,42,43,44,45,46,80,121,158,163,164,166,175,199,208,391,408,409,475,581,916,940
,953,1662],[1,2,4,5,6,8,12,19,23,35,40,41,42,43,44,46,87,121,158,162,163,164,
188,200,205,390,408,409,481,578,916,944,951,1663],[1,2,5,6,8,9,10,22,28,40,43,
44,73,121,153,154,156,159,168,199,208,387,408,474,574,914,937,953,1664],[1,2,4
,5,6,10,12,22,32,40,41,44,74,118,155,159,162,174,199,206,383,405,479,576,915,
942,955,1665],[1,2,3,5,6,10,16,23,33,40,44,45,79,118,155,159,166,182,200,209,
382,405,486,582,915,943,954,1666],[1,2,4,8,9,19,23,38,43,46,75,119,154,164,194
,203,210,403,406,496,580,912,948,956,1667],[1,2,3,4,5,6,9,15,16,31,33,40,42,44
,45,52,118,153,156,165,166,182,184,380,382,405,526,552,911,939,943,1668],[1,2,
4,5,6,9,12,13,28,32,40,41,44,50,118,153,156,160,162,173,174,381,383,405,522,
528,911,942,945,1669],[1,2,3,4,5,6,8,9,15,16,30,32,40,42,43,44,45,52,121,153,
154,156,165,166,170,175,384,391,408,526,529,914,933,940,1670],[1,2,3,4,6,8,9,
15,16,34,37,42,43,44,45,52,120,154,156,165,166,191,193,385,392,407,526,558,913
,934,941,1671],[1,2,4,5,6,10,13,28,32,40,41,44,51,118,155,159,160,168,173,381,
383,405,521,536,915,930,945,1672],[1,2,4,5,6,8,9,12,13,29,35,40,41,43,44,50,
121,153,154,156,160,162,188,189,386,390,408,522,551,914,938,944,1673],[1,2,3,4
,5,6,10,15,19,31,33,40,42,44,45,62,118,155,159,163,165,177,184,380,382,405,527
,547,915,929,939,1674],[1,2,4,5,6,8,12,13,19,20,29,31,35,40,41,42,43,44,46,71,
121,158,160,161,162,163,164,172,177,178,189,386,388,390,408,409,525,562,916,
931,936,938,946,1675],[1,2,3,4,5,6,8,10,15,19,28,30,32,40,41,42,43,44,45,46,62
,121,158,159,163,164,165,168,169,170,179,384,387,391,408,409,527,537,916,933,
935,937,947,1676],[1,2,3,4,8,9,15,16,34,37,43,52,128,154,191,193,411,412,413,
558,957,964,965,1677],[1,2,5,6,9,10,22,40,44,73,118,153,155,156,159,206,208,
405,569,574,911,915,961,1678],[1,2,4,5,6,8,9,19,23,40,41,42,43,44,46,75,121,
153,154,156,158,163,164,205,209,210,408,409,570,575,580,914,916,962,1679],[1,2
,4,5,6,13,22,23,28,29,32,35,40,44,108,118,173,189,201,204,206,208,366,369,405,
593,595,918,958,961,1680],[1,2,3,4,5,6,8,15,23,30,31,32,33,34,37,40,43,44,106,
121,170,184,191,201,203,204,205,209,210,367,372,408,589,591,596,922,960,962,
1681],[1,2,4,5,6,12,19,22,32,35,40,44,76,118,174,180,188,195,206,208,369,405,
607,609,919,924,961,1682],[1,2,3,4,5,6,8,16,19,23,30,32,33,35,37,38,40,43,44,
92,121,175,180,182,193,194,195,205,209,210,372,379,408,603,605,610,921,926,962
,1683],[1,2,4,5,6,10,12,23,32,35,40,44,77,118,155,159,174,188,201,204,369,405,
485,498,915,919,958,1684],[1,2,4,5,6,9,19,23,32,35,40,44,75,118,153,156,180,
195,201,204,369,405,484,497,911,924,958,1685],[1,2,4,6,8,9,19,23,35,38,43,44,
75,120,154,156,194,195,203,204,378,407,496,497,913,925,959,1686],[1,2,4,5,6,8,
9,19,23,32,35,38,40,43,44,75,121,153,154,156,180,194,195,201,203,204,379,408,
484,496,497,914,926,960,1687],[1,2,3,4,5,6,8,16,19,23,30,33,37,40,41,42,43,44,
46,92,121,158,163,164,175,182,193,201,203,204,372,408,409,488,491,499,916,921,
960,1688],[1,4,5,6,8,24,41,42,46,96,121,207,409,565,566,611,1689],[1,2,4,5,6,8
,10,12,23,28,35,40,41,43,44,77,121,159,162,168,188,201,203,204,387,390,408,482
,498,937,944,960,1690],[1,2,4,5,6,10,12,23,28,32,40,41,44,77,118,155,162,168,
174,201,204,381,383,405,482,485,930,942,958,1691],[1,2,3,4,5,6,8,16,19,23,30,
31,40,41,43,44,45,92,121,158,166,175,177,201,203,204,388,391,408,489,491,931,
940,960,1692],[1,2,3,4,6,8,16,19,23,31,37,43,44,45,46,92,120,164,166,177,193,
203,204,389,392,407,489,499,932,941,959,1693],[1,2,3,4,5,6,16,19,23,31,33,40,
42,44,45,92,118,163,166,177,182,201,204,380,382,405,488,489,929,943,958,1694],
[1,4,8,24,34,116,119,371,850,1695],[1,4,8,25,34,117,119,371,851,1696],[1,4,8,
25,38,117,123,373,853,1697],[1,4,8,25,38,117,122,374,854,1698],[1,2,4,5,6,13,
22,28,32,40,41,44,101,118,160,173,199,206,208,381,383,405,586,619,945,955,961,
1699],[1,2,3,4,5,6,8,15,22,23,30,32,40,42,43,44,45,109,121,165,170,199,205,208
,209,210,384,391,408,583,623,933,953,962,1700],[1,2,4,5,6,8,13,23,29,35,40,41,
43,44,107,121,160,189,200,205,209,210,386,390,408,592,620,938,951,962,1701],[1
,2,3,4,5,6,15,22,23,31,33,40,42,44,45,109,118,165,184,200,206,208,209,380,382,
405,590,623,939,954,961,1702],[1,2,3,4,5,6,15,23,31,33,40,42,44,45,106,118,165
,184,200,201,204,209,380,382,405,591,617,939,954,958,1703],[1,2,4,5,6,13,22,23
,28,32,40,41,44,108,118,160,173,199,201,204,206,381,383,405,593,613,945,955,
958,1704],[1,2,4,5,6,8,13,22,23,29,35,40,41,43,44,108,121,160,189,199,201,203,
204,208,386,390,408,595,613,938,953,960,1705],[1,2,3,4,5,6,8,15,23,30,32,40,42
,43,44,45,106,121,165,170,200,201,203,204,205,384,391,408,589,617,933,951,960,
1706],[1,2,3,4,6,8,15,23,34,37,42,43,44,45,106,120,165,191,200,203,204,210,385
,392,407,596,617,934,952,959,1707],[1,2,4,5,6,10,12,22,28,32,40,41,44,74,118,
155,162,168,174,206,208,381,383,405,576,597,930,942,961,1708],[1,2,3,4,5,6,16,
19,22,31,33,40,42,44,45,80,118,163,166,177,182,206,208,380,382,405,581,602,929
,943,961,1709],[1,2,4,5,6,8,12,19,23,31,35,40,41,43,44,87,121,158,162,177,188,
205,209,210,388,390,408,578,604,931,944,962,1710],[1,2,3,5,6,8,10,16,23,28,30,
40,43,44,45,79,121,159,166,168,175,205,209,210,387,391,408,582,598,937,940,962
,1711],[1,5,26,27,215,217,627,1712],[1,3,7,47,211,628,966,1713],[1,2,3,4,11,15
,21,26,49,66,67,130,131,135,220,421,425,432,967,972,976,1714],[1,2,3,4,10,13,
14,15,19,26,51,62,63,64,65,130,131,132,135,136,228,422,423,425,426,427,429,433
,968,981,982,983,984,1715],[1,2,3,4,9,12,13,15,16,17,21,26,50,52,55,68,70,131,
132,135,136,232,420,422,424,427,428,430,431,432,969,973,975,977,979,1716],[1,2
,3,4,11,12,13,14,15,16,17,21,26,55,57,64,67,68,69,70,130,131,132,135,136,233,
421,422,424,425,426,427,429,430,431,432,970,972,973,974,975,978,981,1717],[1,2
,3,4,11,12,13,14,15,16,17,21,26,54,55,57,69,70,131,132,135,136,234,421,422,424
,426,427,428,430,431,432,970,974,975,979,980,1718],[1,2,3,4,9,12,13,14,15,16,
17,26,50,52,54,55,64,130,131,132,135,136,229,420,422,424,425,426,427,428,429,
430,431,969,971,977,978,979,980,981,1719],[1,2,4,9,11,12,13,26,50,57,135,136,
218,420,421,422,424,969,970,1720],[1,2,4,9,12,13,22,24,26,50,100,101,130,132,
136,237,414,415,420,428,429,971,986,987,1721],[1,2,4,9,12,13,23,25,26,50,103,
110,130,132,136,247,416,417,420,428,429,971,989,990,1722],[1,2,3,4,12,13,15,16
,17,22,25,26,55,101,103,130,131,132,135,136,244,414,417,424,425,429,430,431,
978,987,990,1723],[1,2,3,4,12,13,15,16,17,23,24,26,55,100,110,130,131,132,135,
136,243,415,416,424,425,429,430,431,978,986,989,1724],[1,2,4,10,13,19,23,25,26
,65,103,107,130,132,136,249,416,417,423,429,433,984,990,994,1725],[1,2,4,10,13
,19,23,24,26,65,100,107,130,132,136,240,415,416,423,429,433,984,986,994,1726],
[1,2,3,4,12,13,15,16,17,23,25,26,55,103,110,130,131,132,135,136,251,416,417,
424,425,429,430,431,978,989,990,1727],[1,2,4,13,14,19,25,26,63,112,132,135,136
,252,417,422,426,433,982,996,1728],[1,2,3,4,15,24,25,26,96,99,105,130,131,135,
344,425,435,437,985,1009,1014,1729],[1,2,4,10,13,19,27,51,65,219,1730],[1,2,4,
10,11,12,13,24,26,51,57,82,100,135,136,257,421,422,423,424,437,968,970,1002,
1008,1731],[1,2,4,9,10,12,13,22,26,50,51,73,74,101,135,136,258,420,422,423,424
,438,968,969,1003,1006,1007,1732],[1,2,4,11,12,13,24,26,49,57,78,82,102,135,
136,259,421,422,424,437,967,970,1004,1005,1008,1733],[1,2,3,4,13,14,16,19,21,
24,26,63,68,90,100,131,132,135,136,266,422,426,430,432,433,437,973,982,1002,
1018,1734],[1,2,3,4,12,13,14,15,16,17,19,22,26,55,63,76,80,101,131,132,135,136
,285,422,426,427,428,430,431,433,438,979,982,1003,1016,1017,1735],[1,3,4,11,14
,17,21,24,26,66,69,85,90,102,131,132,135,302,421,426,431,432,437,974,976,1004,
1015,1018,1736],[1,2,3,4,13,14,15,24,25,26,64,100,103,104,105,130,131,132,135,
136,336,422,425,426,427,429,435,437,981,999,1002,1009,1010,1737],[1,2,3,4,11,
15,21,24,25,26,67,102,105,113,114,130,131,135,343,421,425,432,435,437,972,1001
,1004,1009,1013,1738],[1,2,3,4,13,14,15,22,23,26,64,101,108,109,110,130,131,
132,135,136,340,422,425,426,427,429,436,438,981,1000,1003,1011,1012,1739],[1,2
,4,11,12,13,14,19,25,26,57,63,89,103,132,135,136,265,421,422,424,426,433,435,
970,982,999,1024,1740],[1,2,3,4,10,13,16,21,25,26,51,68,91,103,131,135,136,264
,422,423,430,432,435,968,973,999,1023,1741],[1,2,4,9,12,13,14,19,23,26,50,63,
75,81,110,132,135,136,286,420,422,424,426,433,436,969,982,1000,1020,1022,1742]
,[1,2,3,4,10,12,13,15,16,17,23,26,51,55,77,79,110,131,132,135,136,284,422,423,
427,428,430,431,436,968,979,1000,1019,1021,1743],[1,2,3,4,11,12,13,21,25,26,57
,66,86,91,113,131,135,136,300,421,422,424,432,435,970,976,1001,1023,1025,1744]
,[1,3,4,11,14,17,21,25,26,49,69,86,89,113,131,132,135,303,421,426,431,432,435,
967,974,1001,1024,1025,1745],[1,2,4,11,12,13,23,26,57,110,135,136,242,421,422,
424,436,970,1000,1746],[1,2,4,9,12,13,23,25,26,50,103,110,135,136,247,420,422,
424,435,436,969,999,1000,1747],[1,2,4,11,12,13,25,26,57,113,135,136,254,421,
422,424,435,970,1001,1748],[1,2,4,11,12,13,22,26,57,101,135,136,236,421,422,
424,438,970,1003,1749],[1,2,4,9,12,13,22,24,26,50,100,101,135,136,237,420,422,
424,437,438,969,1002,1003,1750],[1,2,4,11,12,13,24,26,57,102,135,136,238,421,
422,424,437,970,1004,1751],[1,2,4,9,12,13,22,23,26,50,107,108,130,132,136,331,
414,416,420,428,429,971,994,997,1752],[1,2,4,10,13,19,22,23,26,65,101,108,130,
132,136,332,414,416,423,429,433,984,987,997,1753],[1,2,4,10,13,19,22,23,26,65,
108,110,130,132,136,339,414,416,423,429,433,984,989,997,1754],[1,2,3,4,13,14,
15,22,23,26,64,101,108,109,110,130,131,132,135,136,340,414,416,422,425,426,427
,429,981,987,988,989,997,1755],[1,2,3,4,9,15,16,24,25,26,52,105,111,131,132,
136,333,415,417,420,427,430,977,991,995,1756],[1,2,3,4,13,14,15,25,26,64,103,
111,112,130,131,132,135,136,334,417,422,425,426,427,429,981,990,995,996,1757],
[1,2,3,4,12,14,15,17,24,25,26,54,104,105,111,112,131,132,135,136,335,415,417,
424,426,427,428,431,980,991,992,995,996,1758],[1,2,3,4,13,14,15,23,26,64,106,
107,110,130,131,132,135,136,337,416,422,425,426,427,429,981,989,993,994,1759],
[1,2,3,4,13,14,15,24,25,26,64,100,103,104,105,130,131,132,135,136,336,415,417,
422,425,426,427,429,981,986,990,991,992,1760],[1,2,3,4,12,13,15,16,17,22,23,26
,55,106,107,108,109,130,131,132,135,136,338,414,416,424,425,429,430,431,978,
988,993,994,997,1761],[1,3,4,14,21,24,25,26,85,90,96,104,114,131,132,135,327,
426,432,435,437,985,1010,1013,1015,1018,1762],[1,2,3,4,12,13,15,16,17,22,25,26
,55,101,103,131,132,135,136,244,422,427,428,430,431,435,438,979,999,1003,1763]
,[1,2,3,4,12,13,15,16,17,23,24,26,55,100,110,131,132,135,136,243,422,427,428,
430,431,436,437,979,1000,1002,1764],[1,2,3,4,13,16,21,22,23,26,68,101,110,131,
135,136,245,422,430,432,436,438,973,1000,1003,1765],[1,3,4,11,14,17,21,24,25,
26,69,102,113,131,132,135,255,421,426,431,432,435,437,974,1001,1004,1766],[1,2
,3,4,13,21,24,25,26,85,91,99,100,114,131,135,136,328,422,432,435,437,1002,1013
,1014,1015,1023,1767],[1,3,4,11,14,21,24,25,26,86,89,90,99,102,104,114,131,132
,135,330,421,426,432,435,437,1004,1010,1013,1014,1018,1024,1025,1768],[1,2,4,
11,13,24,26,78,82,96,100,102,135,136,316,421,422,437,985,1002,1004,1005,1008,
1769],[1,4,11,14,24,25,26,78,89,99,104,113,132,135,326,421,426,435,437,1001,
1005,1010,1014,1024,1770],[1,2,3,4,11,13,21,24,25,26,82,86,91,99,103,113,114,
131,135,136,329,421,422,432,435,437,999,1001,1008,1013,1014,1023,1025,1771],[1
,2,3,4,11,15,21,24,25,26,67,78,85,86,105,130,131,135,301,421,425,432,435,437,
972,1005,1009,1015,1025,1772],[1,3,4,11,14,17,21,24,25,26,66,69,78,86,89,90,
114,131,132,135,305,421,426,431,432,435,437,974,976,1005,1013,1018,1024,1025,
1773],[1,2,3,4,11,13,16,21,24,25,26,66,68,82,85,86,91,114,131,135,136,304,421,
422,430,432,435,437,973,976,1008,1013,1015,1023,1025,1774],[1,2,3,4,9,10,15,16
,19,22,23,26,52,62,73,75,79,80,109,131,132,136,283,420,423,427,430,433,436,438
,977,983,1007,1012,1016,1019,1022,1775],[1,2,3,4,10,12,14,15,17,19,22,23,26,54
,62,74,76,77,81,109,131,132,135,136,290,423,424,426,427,428,431,433,436,438,
980,983,1006,1012,1017,1020,1021,1776],[1,2,3,4,10,12,13,15,16,17,19,22,23,26,
55,65,74,79,80,81,108,130,131,132,135,136,287,423,424,425,429,430,431,433,436,
438,978,984,1006,1011,1016,1019,1020,1777],[1,2,4,9,10,12,13,19,22,23,26,50,65
,73,75,76,77,108,130,132,136,281,420,423,428,429,433,436,438,971,984,1007,1011
,1017,1021,1022,1778],[1,2,3,4,11,13,14,17,19,21,24,25,26,63,69,82,89,90,91,
104,131,132,135,136,273,421,422,426,431,432,433,435,437,974,982,1008,1010,1018
,1023,1024,1779],[1,2,3,4,11,13,14,15,21,24,25,26,64,67,82,89,90,91,105,130,
131,132,135,136,274,421,422,425,426,427,429,432,435,437,972,981,1008,1009,1018
,1023,1024,1780],[1,2,4,13,22,23,26,101,107,108,130,132,136,347,414,416,429,
436,438,987,994,1011,1781],[1,2,4,13,22,23,24,26,100,108,130,132,136,346,414,
415,416,429,436,438,986,997,1011,1782],[1,2,4,13,22,23,25,26,103,108,130,132,
136,350,414,416,417,429,436,438,990,997,1011,1783],[1,2,4,13,22,23,26,107,108,
110,130,132,136,351,416,429,436,438,989,994,1011,1784],[1,2,3,4,15,23,24,25,26
,105,106,130,131,135,349,416,425,435,437,993,1009,1785],[1,4,14,24,25,26,104,
132,135,348,415,417,426,435,437,992,1010,1786],[1,2,3,4,15,24,25,26,105,117,
130,131,135,353,425,435,437,1009,1026,1787],[1,4,14,24,25,26,104,117,132,135,
354,426,435,437,1010,1026,1788],[1,2,4,13,25,26,103,117,135,136,355,422,435,
999,1026,1789],[1,5,6,7,8,118,120,121,122,123,124,125,126,629,630,631,632,1790
],[1,5,6,8,118,119,120,121,128,629,634,638,1791],[1,6,7,8,119,120,124,126,129,
630,634,639,1792],[1,5,6,7,8,118,120,121,127,129,629,635,639,1793],[1,6,7,8,
120,124,126,127,128,129,630,635,638,639,1794],[1,5,6,7,8,119,120,121,122,123,
125,126,127,632,633,634,635,636,637,1795],[1,5,6,7,8,120,121,122,123,125,126,
128,129,632,638,639,640,641,642,1796],[1,2,6,9,44,48,156,214,439,643,1033,1797
],[1,2,6,10,44,48,159,214,439,644,1033,1798],[1,2,5,9,48,139,214,442,643,1799]
,[1,2,6,10,48,140,214,443,644,1800],[1,2,8,9,48,145,214,440,643,1801],[1,2,7,
10,48,146,214,441,644,1802],[1,2,6,22,44,48,208,214,439,648,1033,1803],[1,2,4,
6,19,42,44,48,163,212,214,439,645,1027,1033,1804],[1,2,3,6,16,44,45,48,166,213
,214,439,647,1028,1033,1805],[1,2,3,4,6,15,42,44,45,48,165,212,213,214,439,646
,1027,1028,1033,1806],[1,2,6,23,44,48,209,214,439,649,1033,1807],[1,2,4,5,19,
28,32,41,48,179,212,214,442,645,1031,1034,1037,1808],[1,2,3,6,16,29,33,45,48,
185,213,214,443,647,1032,1035,1036,1809],[1,2,5,6,26,40,44,118,130,215,216,405
,650,651,1038,1810],[1,2,5,6,26,28,29,118,136,215,216,366,660,661,1038,1811],[
1,4,5,6,26,32,35,118,132,215,216,369,656,658,1038,1812],[1,4,5,6,26,31,42,118,
135,215,216,380,659,664,1038,1813],[1,2,5,6,26,28,40,118,136,215,216,381,660,
663,1038,1814],[1,3,5,6,26,33,45,118,131,215,216,382,653,655,1038,1815],[1,4,5
,6,26,32,41,118,132,215,216,383,652,656,1038,1816],[1,2,4,6,9,11,12,13,24,31,
49,50,57,78,82,102,141,144,218,238,259,451,687,1058,1817],[1,2,4,6,9,10,11,12,
13,22,24,29,50,51,57,73,74,82,100,101,141,144,218,236,237,257,258,447,450,688,
1058,1818],[1,2,3,4,6,9,11,12,13,21,25,33,50,57,66,86,91,113,141,144,218,254,
300,459,691,1058,1819],[1,2,3,4,7,10,13,14,19,21,25,36,58,63,65,91,95,112,146,
150,227,252,293,466,705,1062,1820],[1,2,3,4,7,10,13,14,19,21,25,36,59,63,65,91
,94,112,146,150,227,252,294,465,706,1062,1821],[1,3,4,7,11,14,17,18,21,25,39,
49,61,69,86,89,113,149,150,224,256,303,462,712,1061,1822],[1,3,4,7,11,14,17,18
,21,24,25,36,61,66,69,83,84,85,90,94,95,102,113,149,150,224,255,256,302,307,
308,463,465,466,715,1061,1823],[1,2,4,6,9,11,12,13,14,19,23,25,35,50,57,63,75,
81,89,103,110,141,144,218,242,247,265,286,457,460,695,1058,1824],[1,2,3,4,8,9,
11,12,13,21,25,37,50,57,66,86,91,113,145,148,218,254,300,469,691,1059,1825],[1
,2,4,8,9,10,12,13,19,20,22,23,24,34,50,65,71,74,75,76,87,88,100,101,107,143,
145,147,221,237,240,241,260,262,282,454,455,456,690,1060,1826],[1,2,4,7,10,11,
12,13,14,19,23,25,39,57,63,65,77,87,89,103,107,146,150,227,246,249,263,265,462
,470,698,1062,1827],[1,2,3,4,7,10,13,14,16,19,21,23,24,36,63,65,68,79,90,92,
100,107,146,150,227,240,246,266,268,461,463,699,1062,1828],[1,2,4,8,9,11,12,13
,14,19,23,25,38,50,57,63,75,81,89,103,110,145,148,218,242,247,265,286,471,472,
695,1059,1829],[1,2,4,8,9,10,12,13,19,20,23,25,38,50,65,71,75,77,81,87,93,103,
107,110,143,145,147,221,247,248,249,262,267,288,464,468,471,703,1060,1830],[1,
2,4,7,9,10,12,13,19,20,23,25,39,50,65,71,75,77,81,87,93,103,107,110,142,146,
151,221,247,248,249,262,267,288,467,470,473,703,1063,1831],[1,2,4,6,10,11,12,
13,24,42,49,51,57,78,82,96,100,102,140,144,257,259,316,501,503,565,671,1832],[
1,2,4,8,10,11,12,13,24,46,49,51,57,78,82,96,100,102,143,148,257,259,316,508,
513,566,671,1833],[1,3,4,8,14,18,20,21,24,25,46,53,59,72,83,85,90,95,96,98,104
,114,147,152,292,315,320,327,512,519,566,568,672,1834],[1,3,4,8,14,18,20,21,24
,25,46,53,58,72,84,85,90,94,96,97,104,114,147,152,291,314,319,327,512,519,566,
567,673,1835],[1,2,3,4,8,10,13,16,18,21,25,46,51,68,72,83,84,91,97,98,103,115,
143,152,264,310,317,318,508,519,567,568,674,1836],[1,3,4,8,11,14,17,18,20,21,
25,46,49,53,69,72,86,89,94,95,97,98,112,113,115,147,148,152,299,303,309,323,
324,512,513,519,567,568,677,1837],[1,2,3,4,5,9,11,15,16,18,21,41,49,52,60,66,
67,72,139,157,220,222,235,502,520,666,1042,1838],[1,2,3,4,6,9,11,15,16,18,21,
42,44,45,49,52,60,66,67,72,144,156,165,166,220,222,235,503,509,510,526,666,
1043,1054,1055,1839],[1,2,3,4,5,9,10,12,13,14,15,16,17,19,20,40,41,50,51,52,53
,54,55,56,62,63,64,65,71,139,155,160,221,228,229,230,231,500,502,521,668,1041,
1047,1840],[1,2,3,4,5,9,11,12,13,14,15,16,17,21,40,41,50,52,54,55,57,64,67,68,
69,70,139,153,160,162,218,229,232,233,234,500,502,522,667,1039,1047,1051,1841]
,[1,2,3,4,6,9,10,12,13,14,15,16,17,19,20,42,44,45,50,51,52,53,54,55,56,62,63,
64,65,71,140,156,165,166,221,228,229,230,231,501,504,505,526,668,1040,1049,
1053,1842],[1,2,3,4,6,10,13,14,15,19,42,44,45,51,62,63,64,65,140,159,163,165,
219,227,228,501,504,505,527,665,1048,1049,1050,1843],[1,2,3,4,5,9,11,12,13,14,
15,16,17,18,21,40,41,50,52,54,55,57,58,59,60,61,64,67,68,69,70,139,157,160,162
,222,223,225,226,229,232,233,500,502,524,669,1042,1047,1051,1844],[1,2,4,6,9,
11,12,13,24,42,49,50,57,78,82,102,141,144,218,238,259,503,687,1058,1845],[1,2,
3,4,6,9,11,12,13,21,25,45,50,57,66,86,91,113,141,144,218,254,300,509,691,1058,
1846],[1,2,4,8,9,11,12,13,24,46,49,50,57,78,82,102,145,148,218,238,259,513,687
,1059,1847],[1,2,3,4,7,10,13,14,19,21,25,47,58,63,65,91,95,112,146,150,227,252
,293,516,705,1062,1848],[1,2,3,4,7,10,13,14,19,21,25,47,59,63,65,91,94,112,146
,150,227,252,294,517,706,1062,1849],[1,3,4,8,11,14,17,18,21,25,46,49,61,69,86,
89,113,148,152,224,256,303,513,712,1065,1850],[1,2,4,5,9,10,11,12,13,22,24,28,
40,50,51,57,73,74,82,100,101,139,153,168,199,218,236,237,257,258,445,474,500,
688,1039,1069,1115,1851],[1,2,4,5,9,10,12,13,19,20,22,23,24,32,40,50,65,71,74,
75,76,87,88,100,101,107,139,155,174,199,221,237,240,241,260,262,282,449,479,
500,690,1041,1083,1115,1852],[1,2,4,6,9,10,12,13,19,20,22,23,24,31,44,50,65,71
,74,75,76,87,88,100,101,107,140,156,177,200,221,237,240,241,260,262,282,448,
480,505,690,1040,1081,1116,1853],[1,2,4,6,10,11,12,13,19,23,24,35,42,44,51,57,
65,77,82,87,100,107,140,163,188,200,219,239,240,257,263,452,481,501,505,689,
1050,1079,1116,1854],[1,2,4,5,9,11,12,13,14,19,23,25,32,40,50,57,63,75,81,89,
103,110,139,153,180,201,218,242,247,265,286,449,484,500,695,1039,1072,1117,
1855],[1,2,3,4,5,9,12,13,14,15,16,17,19,21,22,23,24,32,40,41,50,52,55,63,68,70
,75,76,80,81,90,100,101,110,139,162,180,199,232,237,243,245,266,285,286,449,
483,500,502,700,1051,1072,1115,1856],[1,2,3,4,5,9,10,12,13,15,16,17,21,22,23,
25,28,40,41,50,51,52,55,68,70,73,74,77,79,91,101,103,110,139,162,168,201,232,
244,245,247,258,264,284,445,482,500,502,701,1051,1069,1117,1857],[1,2,4,5,9,10
,12,13,19,20,23,25,32,40,50,65,71,75,77,81,87,93,103,107,110,139,155,174,201,
221,247,248,249,262,267,288,449,485,500,703,1041,1083,1117,1858],[1,2,3,4,6,10
,13,14,16,19,21,23,24,33,44,63,65,68,79,90,92,100,107,140,159,182,200,227,240,
246,266,268,453,486,505,699,1048,1085,1116,1859],[1,2,4,6,9,10,12,13,19,20,23,
25,35,44,50,65,71,75,77,81,87,93,103,107,110,140,156,195,204,221,247,248,249,
262,267,288,452,497,505,703,1040,1077,1118,1860],[1,2,3,4,6,10,12,13,15,16,17,
19,20,22,23,25,31,44,45,55,56,62,65,71,74,76,81,92,93,101,103,107,140,166,177,
204,231,241,244,249,267,272,282,448,489,504,505,702,1053,1081,1118,1861],[1,2,
3,4,6,10,13,16,19,21,23,25,33,42,44,51,65,68,79,91,92,103,107,140,163,182,204,
219,239,249,264,268,453,488,501,505,697,1050,1085,1118,1862],[1,2,4,6,10,11,12
,13,14,19,23,25,35,44,57,63,65,77,87,89,103,107,140,159,188,204,227,246,249,
263,265,452,498,505,698,1048,1079,1118,1863],[1,2,3,4,6,10,12,13,15,16,17,19,
20,23,24,35,44,45,55,56,62,65,71,77,81,88,92,100,107,110,140,166,195,200,231,
240,243,248,260,272,288,452,487,504,505,704,1053,1077,1116,1864],[1,2,3,4,5,9,
12,13,14,15,16,17,19,21,23,25,32,40,41,50,52,55,63,68,70,75,81,87,92,94,95,103
,110,139,162,180,201,232,247,250,251,271,286,295,449,494,500,502,710,1051,1072
,1117,1865],[1,2,4,6,9,10,12,13,19,20,23,25,35,44,50,65,71,75,77,81,87,93,103,
107,110,141,159,188,204,221,247,248,249,262,267,288,457,498,507,703,1046,1104,
1119,1866],[1,2,4,6,9,11,12,13,14,19,23,25,35,44,50,57,63,75,81,89,103,110,141
,156,195,204,218,242,247,265,286,457,497,507,695,1045,1103,1119,1867],[1,2,3,4
,8,10,13,16,19,21,23,25,37,43,46,51,65,68,79,91,92,103,107,143,164,193,203,219
,239,249,264,268,458,499,506,508,697,1052,1105,1120,1868],[1,2,4,8,9,10,12,13,
19,20,23,25,38,43,50,65,71,75,77,81,87,93,103,107,110,143,154,194,203,221,247,
248,249,262,267,288,464,496,506,703,1044,1096,1120,1869],[1,2,3,4,5,10,13,14,
15,19,28,30,32,40,41,51,62,63,64,65,155,158,160,168,169,170,171,173,179,180,
219,227,228,521,523,536,537,538,539,540,541,556,557,665,1066,1122,1123,1124,
1125,1870],[1,2,3,4,5,9,11,12,13,14,15,16,17,21,28,30,32,40,41,50,52,54,55,57,
64,67,68,69,70,153,157,160,162,169,170,171,173,174,175,176,181,218,229,232,233
,234,522,524,528,529,531,532,533,539,543,544,545,546,667,1067,1127,1128,1129,
1130,1871],[1,2,3,4,5,9,10,12,13,14,15,16,17,19,20,28,30,32,40,41,50,51,52,53,
54,55,56,62,63,64,65,71,153,155,158,160,161,162,168,169,170,171,173,174,175,
176,179,180,190,221,228,229,230,231,522,523,525,528,529,530,531,532,533,534,
535,536,537,538,539,541,557,559,560,668,1068,1123,1126,1130,1131,1132,1133,
1872],[1,2,4,6,9,10,11,12,13,19,20,22,23,29,35,44,50,57,65,71,73,75,76,77,87,
107,108,140,156,188,189,218,221,261,262,263,281,331,446,452,505,551,742,1040,
1079,1080,1873],[1,2,4,5,9,10,11,12,13,19,20,22,23,28,32,40,50,57,65,71,73,75,
76,77,87,107,108,139,153,173,174,218,221,261,262,263,281,331,445,449,500,528,
742,1039,1078,1083,1874],[1,2,4,5,9,10,12,13,19,20,22,23,28,32,40,50,51,65,71,
73,74,75,76,77,101,108,139,155,168,173,219,221,258,280,281,282,332,445,449,500
,536,743,1041,1069,1078,1875],[1,2,4,5,9,10,12,13,14,19,20,22,23,28,32,40,50,
63,65,71,73,75,76,77,81,108,110,139,155,173,180,221,227,281,286,288,289,339,
445,449,500,556,764,1041,1072,1078,1876],[1,2,3,4,5,9,10,12,13,14,15,16,17,19,
22,23,28,32,40,41,50,51,52,54,55,62,63,64,65,73,74,75,76,77,79,80,81,101,108,
109,110,139,160,168,173,179,180,228,229,258,281,283,284,285,286,287,290,340,
445,449,500,502,557,767,1047,1069,1071,1072,1078,1877],[1,2,3,4,6,9,10,12,13,
15,16,17,19,20,21,22,23,31,33,44,50,52,55,65,68,70,71,74,79,80,81,92,107,108,
140,156,182,184,221,232,268,270,272,287,331,448,453,505,552,757,1040,1076,1085
,1878],[1,2,3,4,6,10,11,12,13,14,15,16,17,19,21,23,33,35,42,44,45,51,55,57,62,
63,64,65,67,68,69,70,77,79,87,92,106,107,110,140,165,182,183,187,188,228,233,
263,268,271,279,284,337,452,453,501,504,505,553,759,1049,1075,1079,1085,1086,
1879],[1,2,3,4,6,10,11,12,13,14,15,16,17,19,20,21,22,23,31,33,35,44,45,54,55,
56,57,62,65,69,70,71,74,76,77,79,80,81,87,92,106,107,108,109,140,166,183,184,
186,188,231,234,261,263,269,272,278,279,287,290,338,448,452,453,504,505,555,
762,1053,1074,1076,1079,1086,1880],[1,2,3,4,6,9,10,12,13,15,16,17,19,20,21,22,
23,29,33,35,44,45,50,52,55,56,62,65,68,70,71,73,75,76,77,79,80,87,92,106,107,
108,109,140,166,182,183,185,189,231,232,262,268,270,275,278,279,281,283,338,
446,452,453,504,505,554,761,1053,1073,1080,1085,1086,1881],[1,2,4,6,9,10,12,13
,19,20,22,23,29,31,35,42,44,50,51,65,71,73,74,75,76,77,101,108,140,163,172,177
,178,189,219,221,258,280,281,282,332,446,448,452,501,505,562,743,1050,1070,
1080,1081,1082,1882],[1,2,3,4,6,10,12,13,14,15,16,17,19,20,22,23,31,33,44,55,
56,62,63,65,71,74,76,79,80,81,101,108,140,159,177,184,227,231,282,285,287,289,
332,448,453,505,547,763,1048,1076,1081,1883],[1,2,4,6,9,10,12,13,14,19,20,22,
23,29,35,44,50,63,65,71,73,75,76,77,81,108,110,140,159,189,195,221,227,281,286
,288,289,339,446,452,505,561,764,1048,1077,1080,1884],[1,2,3,4,6,10,12,13,14,
15,17,19,20,22,23,31,35,42,44,45,51,53,54,56,62,63,64,65,71,74,76,77,81,101,
108,109,110,140,165,177,178,186,195,228,230,280,282,288,289,290,340,448,452,
501,504,505,548,766,1049,1074,1077,1081,1082,1885],[1,2,3,4,6,10,12,13,15,16,
17,19,20,22,23,31,33,35,42,44,51,55,56,62,65,71,74,77,79,80,81,108,110,140,163
,178,184,187,195,219,231,280,284,287,288,339,448,452,453,501,505,550,765,1050,
1075,1076,1077,1082,1886],[1,2,3,4,6,9,10,12,13,14,15,16,17,19,22,23,29,31,33,
35,42,44,45,50,51,52,54,55,62,63,64,65,73,74,75,76,77,79,80,81,101,108,109,110
,140,165,172,184,185,186,187,189,228,229,258,281,283,284,285,286,287,290,340,
446,448,452,453,501,504,505,549,767,1049,1070,1073,1074,1075,1076,1080,1887],[
1,2,3,4,5,9,12,13,14,15,16,17,19,20,23,32,40,41,50,52,53,54,55,56,63,64,71,75,
81,87,92,106,107,110,139,160,174,180,190,229,230,262,269,271,272,275,286,337,
449,500,502,559,760,1047,1072,1083,1089,1888],[1,2,3,4,5,9,10,12,13,15,16,17,
19,20,21,22,23,28,32,40,41,50,52,55,56,62,65,68,70,71,73,75,76,77,79,80,87,92,
106,107,108,109,139,162,173,174,179,190,231,232,262,268,270,275,278,279,281,
283,338,445,449,500,502,560,761,1051,1071,1078,1083,1089,1889],[1,2,4,6,9,10,
12,13,14,19,20,22,23,29,35,44,50,63,65,71,73,75,76,77,81,108,110,141,159,189,
195,221,227,281,286,288,289,339,447,457,507,561,764,1046,1098,1103,1890],[1,2,
4,6,9,10,11,12,13,19,20,22,23,29,35,44,50,57,65,71,73,75,76,77,87,107,108,141,
156,188,189,218,221,261,262,263,281,331,447,457,507,551,742,1045,1098,1104,
1891],[1,2,3,4,6,9,11,15,16,18,21,24,25,31,33,44,52,60,67,78,83,84,85,86,105,
111,144,156,182,184,222,301,306,311,333,451,459,510,552,744,1043,1093,1102,
1892],[1,2,3,4,6,11,12,14,15,16,17,18,21,25,33,35,42,44,45,49,54,58,59,60,61,
66,67,69,70,83,84,86,89,94,95,111,113,115,144,165,182,183,187,188,220,226,296,
303,307,308,311,312,313,341,459,460,503,509,510,553,745,1055,1094,1099,1100,
1101,1102,1893],[1,2,3,4,6,11,13,14,15,16,18,21,24,25,29,33,35,44,45,58,59,60,
64,66,67,68,72,82,83,84,85,86,89,90,91,94,95,105,111,114,115,144,166,182,183,
185,189,223,235,274,297,304,306,310,311,312,313,314,315,342,450,459,460,509,
510,554,749,1054,1090,1092,1100,1101,1102,1894],[1,2,3,4,6,11,12,14,15,16,17,
18,21,24,25,31,33,35,44,45,54,58,59,60,61,66,67,69,70,72,78,83,84,85,86,89,90,
94,95,105,111,114,115,144,166,183,184,186,188,226,235,296,298,301,305,309,311,
312,313,314,315,342,451,459,460,509,510,555,748,1054,1091,1093,1099,1100,1101,
1895],[1,2,3,4,8,9,10,12,13,15,16,17,19,20,21,22,23,34,37,43,50,52,55,65,68,70
,71,74,79,80,81,92,107,108,143,154,191,193,221,232,268,270,272,287,331,454,458
,506,558,757,1044,1095,1105,1896],[1,2,3,4,6,9,11,12,13,14,15,16,17,18,21,24,
25,29,35,44,50,52,54,55,60,64,67,82,89,90,91,94,95,105,111,144,156,188,189,222
,229,274,296,297,298,333,450,460,510,551,753,1043,1090,1099,1897],[1,2,3,4,8,
10,12,13,15,16,17,19,20,22,23,34,37,38,43,46,51,55,56,62,65,71,74,77,79,80,81,
108,110,143,164,191,192,194,197,219,231,280,284,287,288,339,454,458,464,506,
508,564,765,1052,1095,1096,1097,1111,1898],[1,2,3,4,6,11,12,13,14,15,16,17,21,
24,25,29,31,33,35,42,44,45,49,55,57,64,66,67,68,69,70,78,82,85,86,89,90,91,102
,105,113,114,144,165,172,184,185,186,187,189,220,233,259,274,300,301,302,303,
304,305,343,450,451,459,460,503,509,510,549,768,1055,1084,1090,1091,1092,1093,
1094,1899],[1,2,3,4,7,11,13,14,15,16,18,21,24,25,36,39,47,58,59,60,64,66,67,68
,72,82,83,84,85,86,89,90,91,94,95,105,111,114,115,150,167,196,198,223,235,274,
297,304,306,310,311,312,313,314,315,342,462,463,465,466,515,516,517,563,749,
1057,1106,1107,1108,1109,1110,1112,1900],[1,2,3,4,5,9,15,16,24,25,41,52,96,97,
98,99,105,111,139,207,333,344,345,502,611,733,1141,1901],[1,2,3,4,6,9,11,12,13
,14,15,16,17,21,44,50,52,54,55,57,64,67,68,69,70,141,144,218,229,232,233,234,
507,510,667,1058,1902],[1,2,3,4,7,10,13,14,15,19,47,51,62,63,64,65,146,150,219
,227,228,514,515,665,1062,1903],[1,2,3,4,8,9,10,12,13,14,15,16,17,19,20,46,50,
51,52,53,54,55,56,62,63,64,65,71,143,145,147,221,228,229,230,231,508,511,512,
668,1060,1904],[1,2,3,4,7,11,12,13,14,15,16,17,18,21,47,54,55,57,58,59,60,61,
64,67,68,69,70,149,150,224,225,226,233,234,515,516,517,518,670,1061,1905],[1,2
,3,4,8,9,11,15,16,18,21,46,49,52,60,66,67,72,145,148,152,220,222,235,511,513,
519,666,1064,1906],[1,2,4,5,10,11,12,13,24,40,41,49,51,57,78,82,96,100,102,155
,157,160,162,207,257,259,316,520,521,524,573,577,611,618,622,671,1217,1226,
1271,1907],[1,2,3,4,5,9,12,13,14,15,16,17,24,25,40,41,50,52,54,55,64,100,103,
104,105,111,112,139,160,207,229,333,334,335,336,500,502,618,735,1047,1141,1908
],[1,2,3,4,5,9,11,15,16,18,21,24,25,41,52,60,67,102,105,111,113,114,115,139,
157,207,222,333,341,342,343,502,622,736,1042,1141,1909],[1,2,3,4,5,9,12,13,14,
15,16,17,22,23,40,41,50,52,54,55,64,101,106,107,108,109,110,139,160,206,229,
331,337,338,340,500,502,619,737,1047,1139,1910],[1,2,3,4,6,10,13,14,15,19,22,
23,42,44,45,51,62,63,64,65,101,108,109,110,140,165,208,209,228,332,339,340,501
,504,505,623,734,1049,1140,1144,1911],[1,2,4,6,9,10,12,13,19,22,23,24,29,35,44
,50,65,73,75,76,77,100,101,107,108,140,189,200,209,237,240,281,331,332,346,347
,446,452,505,592,809,1080,1116,1140,1912],[1,2,4,5,9,10,12,13,19,22,23,24,28,
32,40,50,65,73,75,76,77,100,101,107,108,139,173,199,206,237,240,281,331,332,
346,347,445,449,500,586,809,1078,1115,1139,1913],[1,2,4,5,9,10,12,13,19,22,23,
25,28,32,40,50,65,73,75,76,77,103,107,108,110,139,173,201,206,247,249,281,331,
339,350,351,445,449,500,593,810,1078,1117,1139,1914],[1,2,4,6,9,10,12,13,19,22
,23,25,29,35,44,50,65,73,75,76,77,103,107,108,110,140,189,204,208,247,249,281,
331,339,350,351,446,452,505,595,810,1080,1118,1144,1915],[1,2,3,4,6,10,12,13,
15,16,17,19,22,23,24,31,33,44,55,65,74,79,80,81,100,106,107,108,109,110,140,
184,200,208,240,243,287,338,339,346,351,448,453,505,590,811,1076,1116,1144,
1916],[1,2,3,4,6,10,12,13,15,16,17,19,22,23,25,31,33,44,55,65,74,79,80,81,101,
103,106,107,108,109,140,184,204,209,244,249,287,332,338,347,350,448,453,505,
591,812,1076,1118,1140,1917],[1,2,4,6,9,10,12,13,19,22,23,25,29,35,44,50,65,73
,75,76,77,103,107,108,110,141,189,204,208,247,249,281,331,339,350,351,447,457,
507,595,810,1098,1119,1142,1918],[1,2,3,4,8,10,12,13,15,16,17,19,22,23,25,34,
37,43,55,65,74,79,80,81,101,103,106,107,108,109,143,191,203,210,244,249,287,
332,338,347,350,454,458,506,596,812,1095,1120,1143,1919],[1,2,4,5,9,10,11,12,
13,19,20,22,23,40,41,50,57,65,71,73,75,76,77,87,107,108,153,155,157,158,160,
161,162,205,206,218,221,261,262,263,281,331,522,523,524,525,569,570,571,572,
578,620,621,742,1067,1068,1137,1219,1220,1221,1223,1920],[1,2,4,5,9,10,12,13,
19,20,22,23,40,41,50,51,65,71,73,74,75,76,77,101,108,153,155,158,160,161,162,
205,206,219,221,258,280,281,282,332,521,522,523,525,569,570,571,572,576,619,
621,743,1066,1068,1138,1222,1223,1224,1225,1921],[1,2,4,5,9,11,12,13,24,40,41,
49,50,57,78,82,102,153,157,160,162,207,218,238,259,520,522,524,573,577,622,687
,1067,1226,1233,1922],[1,2,4,5,10,11,12,13,19,23,24,40,41,51,57,65,77,82,87,
100,107,155,157,158,160,162,205,207,219,239,240,257,263,521,523,524,571,577,
578,618,620,689,1066,1217,1219,1228,1229,1923],[1,2,4,5,9,10,12,13,19,20,22,23
,24,40,41,50,65,71,74,75,76,87,88,100,101,107,153,155,158,160,161,162,205,206,
207,221,237,240,241,260,262,282,522,523,525,570,572,576,578,579,618,619,620,
690,1068,1218,1221,1222,1229,1230,1232,1924],[1,2,4,5,9,10,11,12,13,22,24,40,
41,50,51,57,73,74,82,100,101,153,155,157,160,162,206,207,218,236,237,257,258,
521,522,524,569,576,577,618,619,688,1067,1217,1225,1231,1232,1925],[1,2,3,4,5,
9,11,12,13,21,25,30,40,41,50,57,66,86,91,113,153,157,160,162,181,202,218,254,
300,490,495,522,524,542,614,691,1067,1190,1204,1926],[1,2,3,4,5,10,13,16,19,21
,23,25,30,40,41,51,65,68,79,91,92,103,107,155,158,160,175,181,201,202,219,239,
249,264,268,476,490,491,521,523,544,612,616,697,1066,1185,1187,1196,1199,1927]
,[1,2,4,5,9,11,12,13,14,19,23,25,32,40,41,50,57,63,75,81,89,103,110,153,157,
160,162,171,180,201,202,218,242,247,265,286,478,484,492,522,524,540,612,615,
695,1067,1186,1188,1197,1213,1928],[1,2,4,5,9,10,12,13,19,20,23,25,32,40,41,50
,65,71,75,77,81,87,93,103,107,110,153,155,158,160,161,162,174,180,190,201,202,
221,247,248,249,262,267,288,477,484,485,493,494,522,523,525,559,612,615,616,
703,1068,1187,1188,1189,1200,1208,1210,1929],[1,2,3,4,5,9,10,12,13,15,16,17,19
,20,21,22,23,28,30,32,40,41,50,52,55,65,68,70,71,74,79,80,81,92,107,108,153,
160,162,168,170,173,174,175,176,179,180,181,190,205,206,221,232,268,270,272,
287,331,522,528,529,532,544,546,557,559,560,597,598,599,600,605,620,621,757,
1126,1127,1137,1248,1249,1250,1253,1930],[1,2,3,4,5,10,12,13,14,15,16,17,19,20
,22,23,28,30,32,40,41,55,56,62,63,65,71,74,76,79,80,81,101,108,155,158,160,168
,170,171,173,174,175,176,179,180,190,205,206,227,231,282,285,287,289,332,523,
532,535,538,540,541,556,557,559,597,598,599,600,607,619,621,763,1124,1131,1138
,1251,1252,1253,1254,1931],[1,2,3,4,5,9,12,13,14,15,16,17,22,23,28,30,32,40,41
,50,52,54,55,64,101,106,107,108,109,110,153,160,162,169,170,171,173,174,175,
176,199,201,205,206,229,331,337,338,340,522,528,529,531,532,533,539,583,584,
585,586,589,613,616,620,621,737,1130,1137,1183,1237,1238,1239,1240,1932],[1,2,
3,4,5,10,13,14,15,19,22,23,28,30,32,40,41,51,62,63,64,65,101,108,109,110,155,
158,160,168,169,170,171,173,179,180,199,201,205,206,228,332,339,340,523,536,
537,538,539,541,557,583,584,585,586,593,613,615,619,621,734,1123,1138,1184,
1240,1241,1242,1243,1933],[1,2,4,5,9,10,12,13,19,20,22,23,28,32,40,50,51,71,73
,74,75,77,87,101,107,108,139,168,174,206,239,241,258,262,280,331,347,445,449,
500,597,799,1069,1083,1139,1934],[1,2,4,6,10,11,12,13,19,20,22,23,31,35,44,57,
65,71,74,76,77,87,101,107,108,140,177,188,209,236,241,261,263,282,332,347,448,
452,505,604,800,1079,1081,1140,1935],[1,2,3,4,6,10,12,13,16,19,20,21,22,23,33,
35,44,65,68,71,77,79,80,81,92,101,107,108,110,140,182,195,209,241,245,268,270,
288,332,351,452,453,505,603,806,1077,1085,1140,1936],[1,2,3,4,6,10,12,13,16,19
,20,21,22,23,31,33,44,65,68,71,74,76,79,80,92,101,107,108,110,140,177,182,208,
245,248,268,270,282,339,347,448,453,505,602,804,1081,1085,1144,1937],[1,2,4,6,
10,11,12,13,19,20,22,23,35,44,57,65,71,76,77,81,87,107,108,110,140,188,195,208
,242,248,261,263,288,339,351,452,505,609,802,1077,1079,1144,1938],[1,2,4,5,9,
12,13,14,19,20,22,23,32,40,50,63,71,75,76,81,87,107,108,110,139,174,180,206,
246,248,262,286,289,331,351,449,500,607,801,1072,1083,1139,1939],[1,2,3,4,5,9,
15,16,17,19,20,23,24,25,32,41,52,56,75,88,92,93,105,106,111,139,190,207,253,
275,277,333,349,449,502,608,807,1089,1141,1940],[1,2,3,4,8,10,12,13,16,19,20,
21,22,23,37,38,43,65,68,71,77,79,80,81,92,101,107,108,110,143,193,194,210,241,
245,268,270,288,332,351,458,464,506,610,806,1096,1105,1143,1941],[1,2,4,6,9,12
,13,14,19,20,22,23,35,44,50,63,71,75,76,81,87,107,108,110,141,188,195,208,246,
248,262,286,289,331,351,457,507,609,801,1103,1104,1142,1942],[1,2,3,4,5,9,10,
12,13,15,16,17,19,20,21,22,23,30,32,40,41,50,52,55,65,68,70,71,74,79,80,81,92,
107,108,153,155,158,160,161,162,170,174,175,176,181,199,201,221,232,268,270,
272,287,331,475,476,477,479,491,522,523,525,529,532,544,546,613,616,757,1068,
1127,1183,1198,1199,1201,1212,1943],[1,2,4,5,9,10,11,12,13,19,20,22,23,28,32,
40,41,50,57,65,71,73,75,76,77,87,107,108,153,157,160,162,168,173,174,179,180,
190,199,201,218,221,261,262,263,281,331,474,482,483,484,494,522,524,528,557,
559,560,613,616,742,1067,1126,1183,1202,1206,1207,1208,1944],[1,2,3,4,5,10,12,
13,15,16,17,19,20,22,23,30,32,40,41,51,55,56,62,65,71,74,77,79,80,81,108,110,
155,158,160,170,174,175,176,180,190,199,201,219,231,280,284,287,288,339,475,
476,477,479,485,521,523,532,535,538,559,613,615,765,1066,1131,1184,1203,1209,
1210,1212,1945],[1,2,4,5,9,10,12,13,14,19,20,22,23,28,32,40,41,50,63,65,71,73,
75,76,77,81,108,110,153,155,158,160,161,162,168,171,173,179,180,199,201,221,
227,281,286,288,289,339,474,478,482,483,484,522,523,525,540,541,556,557,613,
615,764,1068,1124,1184,1202,1211,1213,1214,1946],[1,2,4,6,9,10,12,13,19,20,22,
23,42,44,50,51,65,71,73,74,75,76,77,101,108,140,156,163,209,219,221,258,280,
281,282,332,501,505,575,743,1040,1050,1140,1947],[1,2,4,5,9,10,11,12,13,19,20,
22,23,40,50,57,65,71,73,75,76,77,87,107,108,139,153,155,206,218,221,261,262,
263,281,331,500,569,742,1039,1041,1139,1948],[1,2,3,4,5,9,11,15,16,18,21,24,25
,41,52,60,67,78,83,84,85,86,105,111,139,157,207,222,301,306,311,333,502,573,
744,1042,1141,1949],[1,2,4,6,9,10,11,12,13,19,20,22,23,44,50,57,65,71,73,75,76
,77,87,107,108,141,156,159,208,218,221,261,262,263,281,331,507,574,742,1045,
1046,1142,1950],[1,2,4,8,9,10,12,13,19,20,22,23,43,46,50,51,65,71,73,74,75,76,
77,101,108,143,154,164,210,219,221,258,280,281,282,332,506,508,580,743,1044,
1052,1143,1951],[1,2,3,4,6,10,12,13,15,16,17,19,20,22,23,42,44,45,51,55,56,62,
65,71,74,77,79,80,81,108,110,140,163,166,208,219,231,280,284,287,288,339,501,
504,505,581,765,1050,1053,1144,1952],[1,2,3,4,6,10,12,13,14,15,16,17,19,20,22,
23,44,45,55,56,62,63,65,71,74,76,79,80,81,101,108,140,159,166,209,227,231,282,
285,287,289,332,504,505,582,763,1048,1053,1140,1953],[1,2,4,6,9,10,12,13,14,19
,20,22,23,44,50,63,65,71,73,75,76,77,81,108,110,140,156,159,208,221,227,281,
286,288,289,339,505,574,764,1040,1048,1144,1954],[1,2,3,4,5,9,10,12,13,15,16,
17,19,20,21,22,23,40,41,50,52,55,65,68,70,71,74,79,80,81,92,107,108,139,155,
162,206,221,232,268,270,272,287,331,500,502,576,757,1041,1051,1139,1955],[1,2,
3,4,5,9,11,12,13,14,15,16,17,18,21,24,25,40,41,50,52,54,55,60,64,67,82,89,90,
91,94,95,105,111,139,157,160,207,222,229,274,296,297,298,333,500,502,577,753,
1042,1047,1141,1956],[1,2,4,5,10,11,12,13,24,40,41,51,57,82,100,102,155,157,
160,162,207,238,257,521,524,577,618,622,716,1217,1233,1957],[1,2,4,5,11,12,13,
22,24,40,41,49,57,78,82,101,102,157,160,162,206,207,236,238,259,520,524,573,
577,619,622,717,1226,1231,1233,1958],[1,2,4,5,10,11,12,13,23,24,40,41,51,57,82
,100,107,155,157,160,162,205,207,239,257,521,524,577,618,620,718,1217,1228,
1959],[1,2,3,4,5,10,13,14,15,19,23,28,30,32,40,41,51,62,63,64,65,106,107,110,
155,160,169,170,171,173,180,201,205,228,239,246,337,521,538,539,540,556,585,
589,616,620,785,1122,1185,1228,1237,1262,1960],[1,2,3,4,5,11,12,13,14,15,16,17
,21,22,23,28,30,32,40,41,55,57,64,67,68,69,70,101,108,109,110,157,160,162,169,
170,171,173,175,176,181,201,206,233,236,242,245,340,524,533,539,543,544,545,
546,584,593,615,619,784,1129,1186,1231,1242,1259,1961],[1,2,3,4,5,9,12,13,14,
15,16,17,22,23,24,25,28,30,32,40,41,50,52,54,55,64,100,101,103,104,105,108,109
,110,153,160,162,169,170,171,173,174,175,176,201,202,206,207,229,237,243,244,
247,336,340,522,528,529,531,532,533,539,584,587,588,593,612,615,618,619,788,
1130,1188,1232,1236,1242,1258,1261,1962],[1,2,3,4,5,10,13,14,15,19,23,24,25,28
,30,32,40,41,51,62,63,64,65,100,103,104,105,106,107,110,155,158,160,168,169,
170,171,173,179,180,201,202,205,207,228,240,249,336,337,523,536,537,538,539,
541,557,585,587,588,589,612,616,618,620,787,1123,1187,1229,1236,1237,1260,1264
,1963],[1,2,3,4,5,12,13,14,15,17,19,20,22,23,28,30,32,40,41,53,54,56,63,64,71,
101,106,107,108,109,110,158,160,161,162,169,170,171,173,174,176,179,180,190,
201,205,206,230,241,248,337,340,525,530,531,534,535,539,541,559,560,584,585,
589,593,615,616,619,620,786,1132,1189,1230,1237,1242,1257,1263,1964],[1,2,3,4,
5,11,12,13,14,15,16,17,21,24,25,28,30,32,40,41,55,57,64,67,68,69,70,102,105,
113,114,157,160,162,169,170,171,173,175,176,181,202,207,233,238,254,255,343,
524,533,539,543,544,545,546,587,594,614,622,796,1129,1190,1233,1244,1265,1965]
,[1,2,3,4,5,10,11,12,13,16,21,24,25,30,40,41,51,57,66,68,82,85,86,91,99,100,
103,113,114,155,157,160,162,175,181,202,207,257,264,300,304,328,329,490,495,
521,524,542,544,577,594,601,612,614,618,624,684,1158,1196,1204,1217,1268,1273,
1966],[1,2,3,4,5,11,12,13,14,17,19,21,24,25,30,32,40,41,49,57,63,66,69,78,82,
86,89,90,91,99,102,103,104,113,114,157,160,162,171,176,180,181,202,207,259,265
,273,300,303,305,326,329,330,490,492,495,520,524,540,542,545,573,577,588,594,
606,612,614,622,624,685,1159,1179,1197,1204,1205,1226,1267,1268,1274,1967],[1,
2,3,4,5,12,13,14,16,19,20,21,22,23,24,30,32,40,41,63,68,71,76,80,81,88,90,92,
100,108,160,171,174,175,180,181,190,205,206,207,260,266,270,289,346,540,544,
559,599,600,605,606,607,608,618,621,772,1234,1246,1247,1249,1251,1968],[1,2,4,
5,10,11,12,13,24,40,41,51,57,82,100,116,155,157,160,162,207,257,352,521,524,
577,618,626,778,1217,1272,1969],[1,2,3,4,5,9,12,13,14,15,16,17,22,23,24,25,40,
41,50,52,54,55,64,100,101,103,104,105,108,109,110,139,160,199,201,229,237,243,
244,247,336,340,500,502,613,788,1047,1115,1117,1970],[1,2,3,4,5,9,12,13,14,15,
16,17,23,25,40,41,50,52,54,55,64,103,106,107,110,111,112,139,160,201,229,247,
251,334,337,500,502,616,794,1047,1117,1971],[1,2,3,4,6,10,13,14,15,19,23,24,25
,42,44,45,51,62,63,64,65,100,103,104,105,106,107,110,140,165,200,204,228,240,
249,336,337,501,504,505,617,787,1049,1116,1118,1972],[1,2,4,5,10,11,12,13,24,
40,41,51,57,82,100,116,155,157,160,162,207,257,352,521,524,577,618,625,778,
1217,1270,1973],[1,2,3,4,5,10,13,16,19,21,23,25,28,30,32,40,41,51,65,68,79,91,
92,103,107,155,160,168,173,175,179,180,181,202,205,219,239,249,264,268,490,521
,536,544,556,557,598,605,612,620,697,1125,1196,1228,1250,1260,1974],[1,2,3,4,5
,11,12,13,14,15,16,17,19,21,22,25,30,32,40,41,54,55,57,63,69,70,76,80,89,101,
103,157,160,162,170,171,174,175,176,180,181,202,206,234,236,244,265,285,492,
524,531,532,540,545,546,600,607,612,619,694,1128,1197,1231,1252,1261,1975],[1,
2,3,4,5,10,12,13,15,16,17,19,20,23,24,30,32,40,41,55,56,62,65,71,77,81,88,92,
100,107,110,155,158,160,170,174,175,176,180,190,201,205,207,231,240,243,248,
260,272,288,477,485,523,532,535,538,559,599,605,608,615,618,620,704,1131,1210,
1229,1246,1248,1257,1258,1976],[1,2,3,4,5,10,12,13,15,16,17,19,20,22,23,25,28,
30,32,40,41,55,56,62,65,71,74,76,81,92,93,101,103,107,158,160,161,162,168,169,
170,173,174,175,176,179,180,190,202,205,206,231,241,244,249,267,272,282,493,
525,532,533,534,535,537,557,559,560,597,599,605,607,612,619,620,702,1133,1200,
1230,1248,1254,1260,1261,1977],[1,2,3,4,5,9,12,13,14,15,16,17,19,21,22,23,24,
30,32,40,41,50,52,55,63,68,70,75,76,80,81,90,100,101,110,153,160,162,170,171,
174,175,176,180,181,201,206,207,232,237,243,245,266,285,286,478,484,522,529,
532,540,544,546,600,606,607,615,618,619,700,1127,1213,1232,1247,1252,1258,1259
,1978],[1,2,3,4,5,10,13,14,16,19,21,23,24,28,30,32,40,41,63,65,68,79,90,92,100
,107,155,158,160,168,171,173,175,179,180,181,201,205,207,227,240,246,266,268,
476,491,523,540,541,544,556,557,598,605,606,616,618,620,699,1124,1199,1229,
1247,1250,1262,1264,1979],[1,2,3,4,5,11,12,13,14,15,16,17,21,24,25,30,32,40,41
,54,55,57,66,69,70,85,86,90,91,102,113,157,160,162,170,171,174,175,176,181,202
,207,234,238,255,300,302,490,495,524,531,532,542,545,546,601,606,614,622,692,
1128,1204,1233,1255,1265,1980],[1,2,4,5,9,10,12,13,19,20,22,23,24,28,32,40,41,
50,65,71,74,75,76,87,88,100,101,107,153,160,162,168,173,174,179,180,190,201,
206,207,221,237,240,241,260,262,282,484,494,522,528,557,559,560,597,607,608,
616,618,619,690,1126,1208,1232,1246,1254,1263,1264,1981],[1,2,3,4,5,10,11,12,
13,14,15,16,17,21,23,24,30,32,40,41,51,54,55,57,69,70,77,79,82,100,110,155,157
,160,162,170,171,174,175,176,181,201,207,234,242,243,257,284,476,485,521,524,
531,532,545,546,577,615,618,696,1128,1186,1209,1217,1258,1982],[1,2,3,4,5,10,
12,13,15,16,17,19,20,22,23,25,30,32,40,41,55,56,62,65,71,74,76,81,92,93,101,
103,107,155,158,160,161,162,170,174,175,176,180,190,201,202,206,231,241,244,
249,267,272,282,477,491,493,523,525,532,535,538,559,572,576,612,616,619,702,
1131,1187,1200,1201,1222,1261,1263,1983],[1,2,3,4,5,9,10,12,13,15,16,17,21,22,
23,25,30,32,40,41,50,51,52,55,68,70,73,74,77,79,91,101,103,110,153,155,160,162
,170,174,175,176,181,201,202,206,232,244,245,247,258,264,284,476,485,490,521,
522,529,532,544,546,569,576,612,615,619,701,1127,1188,1196,1209,1225,1259,1261
,1984],[1,2,4,5,9,10,12,13,19,20,23,25,28,32,40,41,50,65,71,75,77,81,87,93,103
,107,110,153,158,160,161,162,168,173,174,179,180,190,201,202,205,221,247,248,
249,262,267,288,478,482,493,522,525,528,557,559,560,570,578,612,615,620,703,
1126,1188,1200,1211,1221,1257,1260,1985],[1,2,3,4,5,10,12,13,15,16,17,19,20,23
,24,28,30,32,40,41,55,56,62,65,71,77,81,88,92,100,107,110,158,160,161,162,168,
169,170,173,174,175,176,179,180,190,201,207,231,240,243,248,260,272,288,477,
478,482,491,525,532,533,534,535,537,557,560,579,615,616,618,704,1133,1189,1201
,1211,1218,1258,1264,1986],[1,2,4,5,10,11,12,13,14,19,23,25,28,32,40,41,57,63,
65,77,87,89,103,107,155,157,158,160,162,168,171,173,179,180,201,202,205,227,
246,249,263,265,482,492,494,523,524,540,541,556,557,571,578,612,616,620,698,
1124,1187,1197,1206,1219,1260,1262,1987],[1,2,4,5,10,11,12,13,19,23,24,28,32,
40,41,51,57,65,77,82,87,100,107,155,157,160,162,168,173,179,180,201,207,219,
239,240,257,263,482,494,521,524,536,556,557,577,616,618,689,1125,1185,1206,
1217,1264,1988],[1,2,3,4,5,11,12,13,14,15,16,17,21,24,25,30,32,40,41,49,54,55,
57,69,70,78,82,86,89,102,113,157,160,162,170,171,174,175,176,181,202,207,234,
254,255,259,303,492,495,520,524,531,532,545,546,573,577,614,622,693,1128,1190,
1205,1226,1265,1989],[1,2,4,5,10,11,12,13,23,24,40,41,51,57,82,100,107,155,157
,160,162,201,207,239,257,521,524,577,616,618,718,1185,1217,1990],[1,2,4,5,10,
11,12,13,24,25,40,41,51,57,82,100,113,155,157,160,162,202,207,254,257,521,524,
577,614,618,719,1190,1217,1991],[1,2,4,5,11,12,13,23,24,25,40,41,49,57,78,82,
102,110,113,157,160,162,201,202,207,242,254,259,520,524,573,577,614,615,622,
721,1186,1190,1226,1992],[1,2,3,4,5,10,11,12,13,14,15,16,17,19,21,24,25,28,30,
32,40,41,51,55,57,62,63,64,65,67,68,69,70,82,89,90,91,100,103,104,105,155,157,
160,162,169,170,171,173,175,176,180,181,202,207,228,233,257,264,265,266,273,
274,336,490,492,521,524,533,538,539,540,543,544,545,546,556,577,587,588,606,
612,618,756,1122,1129,1179,1180,1196,1197,1217,1236,1247,1993],[1,2,3,4,5,12,
13,14,15,17,19,20,24,25,28,30,32,40,41,53,54,56,63,64,71,88,93,100,103,104,105
,158,160,161,162,169,170,171,173,174,176,179,180,190,202,207,230,260,267,276,
277,336,493,525,530,531,534,535,539,541,559,560,579,587,588,608,612,618,755,
1132,1171,1177,1200,1218,1236,1246,1994],[1,2,3,4,5,10,11,12,13,14,15,16,17,19
,20,21,22,23,30,32,40,41,54,55,56,57,62,65,69,70,71,74,76,77,79,80,81,87,92,
106,107,108,109,155,157,158,160,162,170,171,174,175,176,180,181,190,199,201,
205,231,234,261,263,269,272,278,279,287,290,338,475,476,477,479,483,494,523,
524,531,532,535,538,545,546,559,571,578,583,589,599,605,613,620,762,1128,1131,
1149,1170,1173,1178,1207,1212,1219,1238,1248,1995],[1,2,3,4,5,9,12,13,14,15,16
,17,19,20,23,28,30,32,40,41,50,52,53,54,55,56,63,64,71,75,81,87,92,106,107,110
,153,158,160,161,162,169,170,171,173,174,175,176,179,180,190,201,205,229,230,
262,269,271,272,275,286,337,477,484,491,494,522,525,528,529,530,531,532,533,
534,535,539,541,559,560,570,578,585,589,599,605,616,620,760,1130,1132,1151,
1173,1175,1176,1201,1208,1221,1237,1248,1996],[1,2,3,4,5,10,11,12,13,14,15,16,
17,19,21,23,28,30,32,40,41,51,55,57,62,63,64,65,67,68,69,70,77,79,87,92,106,
107,110,155,157,158,160,162,168,169,170,171,173,175,176,179,180,181,201,205,
228,233,263,268,271,279,284,337,476,482,491,494,523,524,533,536,537,538,539,
541,543,544,545,546,557,571,578,585,589,598,605,616,620,759,1123,1129,1148,
1172,1176,1178,1199,1206,1219,1237,1250,1997],[1,2,3,4,5,11,12,13,14,15,16,17,
19,20,21,22,23,28,30,32,40,41,53,54,55,56,57,63,64,67,68,69,70,71,76,80,87,92,
101,108,109,110,157,158,160,161,162,169,170,171,173,174,175,176,179,180,181,
190,199,201,205,206,230,233,261,270,271,278,285,340,475,483,491,494,524,525,
530,531,533,534,535,539,541,543,544,545,546,559,560,572,578,583,584,585,586,
600,605,613,621,758,1129,1132,1147,1170,1174,1176,1198,1207,1220,1240,1249,
1998],[1,2,3,4,5,9,10,12,13,15,16,17,19,20,21,22,23,28,30,32,40,41,50,52,55,56
,62,65,68,70,71,73,75,76,77,79,80,87,92,106,107,108,109,153,158,160,161,162,
168,169,170,173,174,175,176,179,180,181,190,199,201,205,231,232,262,268,270,
275,278,279,281,283,338,474,475,482,483,484,491,522,525,529,532,533,534,535,
537,544,546,557,560,570,578,583,589,598,605,613,620,761,1127,1133,1145,1170,
1172,1175,1198,1202,1221,1238,1250,1999],[1,2,3,4,5,9,10,12,13,15,16,17,19,20,
21,22,23,30,32,40,41,50,52,55,56,62,65,68,70,71,73,75,76,77,79,80,87,92,106,
107,108,109,153,155,158,160,162,170,174,175,176,180,181,190,201,205,206,231,
232,262,268,270,275,278,279,281,283,338,476,484,491,494,522,523,529,532,535,
538,544,546,559,569,570,571,572,584,589,600,605,616,621,761,1127,1131,1146,
1174,1175,1178,1199,1208,1223,1239,1249,2000],[1,2,3,4,5,10,11,12,13,14,15,16,
17,19,20,21,22,23,28,30,32,40,41,54,55,56,57,62,65,69,70,71,74,76,77,79,80,81,
87,92,106,107,108,109,157,158,160,161,162,168,169,170,171,173,174,175,176,179,
180,181,190,201,205,206,231,234,261,263,269,272,278,279,287,290,338,477,482,
491,494,524,525,531,532,533,534,535,537,545,546,557,560,572,578,584,589,597,
598,599,600,616,621,762,1128,1133,1150,1172,1173,1174,1201,1206,1220,1239,1253
,2001],[1,2,3,4,5,10,12,13,15,16,17,19,20,22,23,28,30,32,40,41,51,55,56,62,65,
71,74,77,79,80,81,108,110,155,158,160,161,162,168,169,170,173,174,175,176,179,
180,190,201,205,206,219,231,280,284,287,288,339,476,478,482,485,521,525,532,
533,534,535,536,537,556,557,560,571,576,585,593,597,598,599,600,615,621,765,
1125,1133,1148,1152,1153,1169,1209,1211,1224,1241,1253,2002],[1,2,3,4,5,10,12,
13,14,15,17,19,20,22,23,28,30,32,40,41,51,53,54,56,62,63,64,65,71,74,76,77,81,
101,108,109,110,155,158,160,161,162,169,170,171,173,174,176,179,180,190,199,
201,205,206,228,230,280,282,288,289,290,340,478,479,483,485,521,525,530,531,
534,535,538,539,540,541,556,559,560,571,576,583,584,585,586,599,607,613,621,
766,1122,1132,1149,1153,1154,1167,1203,1214,1224,1240,1251,2003],[1,2,4,5,9,10
,12,13,14,19,20,22,23,28,32,40,41,50,63,65,71,73,75,76,77,81,108,110,153,155,
158,160,162,168,171,173,174,179,180,190,201,205,206,221,227,281,286,288,289,
339,477,478,484,485,522,523,528,540,541,556,557,559,560,569,570,571,572,585,
593,599,607,615,621,764,1124,1126,1151,1153,1155,1168,1210,1213,1223,1241,1251
,2004],[1,2,3,4,5,9,10,12,13,14,15,16,17,19,22,23,28,30,32,40,41,50,51,52,54,
55,62,63,64,65,73,74,75,76,77,79,80,81,101,108,109,110,153,155,158,160,162,168
,169,170,171,173,174,175,176,179,180,199,201,205,206,228,229,258,281,283,284,
285,286,287,290,340,474,475,476,477,479,482,483,484,522,523,528,529,531,532,
533,536,537,538,539,541,557,569,570,571,572,583,584,585,586,597,598,599,600,
613,621,767,1123,1130,1145,1146,1147,1148,1149,1150,1151,1156,1202,1212,1223,
1240,1253,2005],[1,2,3,4,5,10,12,13,14,15,17,19,20,22,23,28,30,32,40,41,51,53,
54,56,62,63,64,65,71,74,76,77,81,101,108,109,110,155,158,160,161,162,168,169,
170,171,173,174,176,179,180,190,201,206,228,230,280,282,288,289,290,340,477,
478,482,485,523,525,530,531,534,535,536,537,538,539,541,557,559,560,572,576,
584,593,597,607,615,619,766,1123,1132,1150,1154,1155,1169,1210,1211,1222,1242,
1254,2006],[1,2,3,4,5,10,12,13,14,15,16,17,19,20,22,23,28,30,32,40,41,55,56,62
,63,65,71,74,76,79,80,81,101,108,155,158,160,161,162,168,169,170,171,173,174,
175,176,179,180,190,199,201,206,227,231,282,285,287,289,332,475,476,477,478,
479,483,523,525,532,533,534,535,537,540,541,556,557,560,572,576,586,593,600,
607,613,619,763,1124,1133,1147,1152,1155,1167,1212,1214,1222,1243,1252,2007],[
1,2,3,4,5,9,10,12,13,14,15,16,17,19,22,23,28,30,32,40,41,50,51,52,54,55,62,63,
64,65,73,74,75,76,77,79,80,81,101,108,109,110,153,155,160,162,169,170,171,173,
174,175,176,180,201,206,228,229,258,281,283,284,285,286,287,290,340,476,478,
484,485,521,522,528,529,531,532,533,538,539,540,556,569,576,584,593,600,607,
615,619,767,1122,1130,1146,1152,1154,1168,1209,1213,1225,1242,1252,2008],[1,2,
4,5,9,10,12,13,19,20,22,23,28,32,40,41,50,51,65,71,73,74,75,76,77,101,108,153,
155,160,162,168,173,174,179,180,190,199,201,206,219,221,258,280,281,282,332,
474,479,482,483,484,485,521,522,528,536,556,557,559,560,569,576,586,593,597,
607,613,619,743,1125,1126,1156,1167,1168,1169,1202,1203,1225,1243,1254,2009],[
1,2,3,4,5,11,12,13,14,15,16,17,21,24,25,28,30,32,40,41,49,55,57,64,66,67,68,69
,70,78,82,85,86,89,90,91,102,105,113,114,157,160,162,169,170,171,173,175,176,
181,202,207,220,233,259,274,300,301,302,303,304,305,343,490,492,495,520,524,
533,539,542,543,544,545,546,573,577,587,594,601,606,614,622,768,1121,1129,1157
,1158,1159,1180,1204,1205,1226,1244,1255,2010],[1,2,3,4,6,9,10,12,13,15,16,17,
19,20,21,22,23,29,31,33,35,42,44,45,50,52,55,56,62,65,68,70,71,73,75,76,77,79,
80,87,92,106,107,108,109,156,159,163,165,166,172,177,178,182,183,184,185,186,
187,188,189,195,200,204,208,209,231,232,262,268,270,275,278,279,281,283,338,
480,481,486,487,488,489,497,498,526,527,547,548,549,550,551,552,553,554,555,
561,562,574,575,581,582,590,591,592,595,602,603,604,609,617,623,761,1134,1135,
1160,1161,1162,1163,1164,1165,1166,1181,1215,1216,1227,1245,1256,2011],[1,2,3,
4,5,13,14,15,22,23,24,25,28,30,32,40,41,64,100,101,103,104,105,108,109,110,160
,169,170,171,173,199,201,202,205,206,207,336,340,346,350,539,583,584,585,586,
587,588,612,613,618,621,740,1191,1194,1234,1236,1240,2012],[1,2,3,4,5,13,14,15
,22,23,28,30,32,40,41,64,101,106,107,108,109,110,160,169,170,171,173,199,201,
205,206,337,340,347,351,539,583,584,585,586,589,593,613,615,616,619,620,621,
741,1192,1193,1195,1235,1237,1240,1242,2013],[1,2,3,4,5,12,13,14,16,19,20,21,
22,23,24,30,32,40,41,63,68,71,76,80,81,88,90,92,100,108,158,160,161,162,171,
175,180,181,199,201,207,260,266,270,289,346,475,478,483,491,525,540,544,579,
606,613,618,772,1191,1198,1214,1218,1247,2014],[1,2,4,5,11,12,13,14,19,20,22,
23,25,32,40,41,57,63,71,76,81,87,89,93,103,108,157,158,160,161,162,171,174,180
,190,199,201,202,205,206,261,265,267,289,350,478,483,492,493,494,524,525,540,
559,572,578,599,607,612,613,621,773,1194,1197,1200,1207,1214,1220,1251,2015],[
1,2,3,4,5,10,12,13,16,19,20,21,22,23,25,30,32,40,41,51,68,71,74,77,80,91,92,93
,103,108,155,158,160,161,162,174,175,180,181,190,199,201,202,205,206,264,267,
270,280,350,475,479,485,490,491,493,521,525,544,559,571,576,600,605,612,613,
621,774,1194,1196,1198,1200,1203,1224,1249,2016],[1,2,4,5,10,11,12,13,19,20,22
,23,24,32,40,41,51,57,71,74,76,77,82,87,88,100,108,155,157,160,162,174,180,190
,199,201,207,257,260,261,280,346,479,483,485,494,521,524,559,577,608,613,618,
769,1191,1203,1207,1217,1246,2017],[1,2,4,5,10,11,12,13,19,20,22,23,24,40,41,
51,57,71,74,76,77,82,87,88,100,108,155,157,158,160,161,162,205,206,207,257,260
,261,280,346,521,524,525,571,572,576,577,578,579,618,621,769,1217,1218,1220,
1224,1234,2018],[1,2,3,4,8,9,15,16,24,25,46,52,96,97,98,99,105,111,145,333,344
,345,511,566,567,733,2019],[1,2,3,4,8,9,15,16,24,25,46,52,96,97,98,99,105,111,
145,333,344,345,511,566,568,733,2020],[1,2,3,4,6,9,15,16,24,25,42,44,45,52,96,
97,98,99,105,111,156,165,166,333,344,345,526,565,733,1282,2021],[1,2,4,5,9,10,
12,13,19,20,22,23,40,41,50,51,71,73,74,75,77,87,101,107,108,153,155,158,160,
161,162,205,206,239,241,258,262,280,331,347,521,522,525,569,570,571,576,578,
619,620,621,799,1137,1221,1224,1225,1228,1230,1235,2022],[1,2,4,5,10,11,12,13,
19,20,22,23,40,41,57,65,71,74,76,77,87,101,107,108,155,157,158,160,161,162,205
,206,236,241,261,263,282,332,347,523,524,525,571,572,576,578,619,620,621,800,
1138,1219,1220,1222,1230,1231,1235,2023],[1,2,3,4,5,10,12,13,15,16,17,19,22,23
,24,28,30,32,40,41,55,65,74,79,80,81,100,106,107,108,109,110,160,168,170,173,
174,175,176,179,180,201,205,206,207,240,243,287,338,339,346,351,532,557,584,
585,589,593,597,598,599,600,615,616,618,621,811,1193,1234,1239,1241,1253,1258,
1264,2024],[1,2,3,4,5,10,12,13,15,16,17,19,22,23,25,28,30,32,40,41,55,65,74,79
,80,81,101,103,106,107,108,109,160,168,170,173,174,175,176,179,180,199,201,202
,205,206,244,249,287,332,338,347,350,532,557,583,586,589,593,597,598,599,600,
612,613,619,620,621,812,1194,1235,1238,1243,1253,1260,1261,2025],[1,2,4,5,9,10
,12,13,19,22,23,24,40,41,50,65,73,75,76,77,100,101,107,108,153,155,158,160,162
,205,206,207,237,240,281,331,332,346,347,522,523,569,570,571,572,618,619,620,
621,809,1137,1138,1223,1229,1232,1234,1235,2026],[1,2,4,5,9,10,12,13,19,22,23,
25,40,41,50,65,73,75,76,77,103,107,108,110,153,155,158,160,162,199,201,202,205
,206,247,249,281,331,339,350,351,522,523,569,570,571,572,612,613,615,616,621,
810,1183,1184,1187,1188,1193,1194,1223,2027],[1,2,4,5,9,10,12,13,19,22,23,25,
28,32,40,41,50,65,73,75,76,77,103,107,108,110,153,160,162,168,173,179,180,199,
201,202,205,206,247,249,281,331,339,350,351,474,482,483,484,522,557,585,593,
612,613,615,620,621,810,1137,1188,1194,1195,1202,1241,1260,2028],[1,2,3,4,5,10
,12,13,15,16,17,19,22,23,25,30,32,40,41,55,65,74,79,80,81,101,103,106,107,108,
109,155,158,160,170,174,175,176,199,201,202,205,206,244,249,287,332,338,347,
350,475,476,477,479,523,532,584,589,612,613,616,619,621,812,1138,1187,1192,
1194,1212,1239,1261,2029],[1,2,4,5,9,12,13,14,19,20,22,23,32,40,41,50,63,71,75
,76,81,87,107,108,110,153,160,162,171,174,180,190,201,205,206,246,248,262,286,
289,331,351,478,484,494,522,540,559,599,607,615,616,620,621,801,1137,1193,1208
,1213,1251,1257,1262,2030],[1,2,3,4,5,10,12,13,16,19,20,21,22,23,30,32,40,41,
65,68,71,77,79,80,81,92,101,107,108,110,155,158,160,174,175,180,181,190,201,
205,206,241,245,268,270,288,332,351,476,477,485,491,523,544,559,600,605,615,
616,619,621,806,1138,1193,1199,1210,1249,1259,1263,2031],[1,2,4,5,11,13,22,23,
24,40,41,78,82,96,100,102,108,116,157,160,199,201,207,316,346,352,573,577,611,
613,618,622,625,821,1191,1270,1271,2032],[1,2,3,4,5,12,13,14,15,16,17,19,20,22
,23,30,32,40,41,55,63,71,76,80,81,92,101,106,107,108,109,158,160,161,162,170,
171,174,175,176,180,199,201,205,206,241,246,272,285,289,338,347,477,478,483,
491,525,532,540,583,589,600,607,613,616,619,620,805,1192,1201,1214,1230,1238,
1252,1262,2033],[1,2,3,4,5,10,12,13,15,16,17,19,20,22,23,30,32,40,41,51,55,71,
74,77,79,81,92,106,107,108,109,110,155,160,170,174,175,176,180,190,199,201,205
,239,248,272,280,284,338,351,476,479,485,521,532,559,583,589,599,605,613,615,
620,803,1195,1203,1209,1228,1238,1248,1257,2034],[1,2,3,4,5,10,12,13,16,19,20,
21,22,23,28,30,32,40,41,65,68,71,77,79,80,81,92,101,107,108,110,158,160,161,
162,168,173,175,179,180,181,199,201,205,206,241,245,268,270,288,332,351,475,
478,482,491,525,544,557,586,593,598,605,613,615,619,620,806,1195,1198,1211,
1230,1243,1250,1259,2035],[1,2,4,5,10,11,12,13,19,20,22,23,28,32,40,41,57,65,
71,74,76,77,87,101,107,108,157,160,162,168,173,174,179,180,190,199,201,206,236
,241,261,263,282,332,347,482,483,494,524,557,559,586,593,597,607,613,616,619,
800,1192,1206,1207,1231,1243,1254,1263,2036],[1,2,3,4,5,13,21,22,23,24,25,30,
40,41,85,91,99,100,108,114,116,160,181,202,205,206,207,328,346,352,490,594,601
,618,621,624,625,828,1234,1270,1273,2037],[1,2,3,4,5,12,13,19,20,21,24,25,30,
40,41,71,85,88,91,99,100,114,116,158,160,161,162,181,202,207,260,328,352,361,
363,490,525,579,594,601,618,624,625,814,1218,1270,1273,1281,1286,2038],[1,2,3,
4,5,11,13,14,15,21,24,25,28,30,32,40,41,64,67,78,82,85,86,89,90,91,96,99,100,
102,103,104,105,113,114,157,160,169,170,171,173,181,202,207,274,301,316,326,
327,328,329,330,336,343,344,490,492,495,539,543,573,577,587,588,594,601,606,
611,612,614,618,622,624,829,1136,1157,1180,1236,1244,1267,1268,1269,1271,1273,
1274,2039],[1,2,4,5,11,12,13,19,20,24,40,41,71,78,82,88,96,100,102,116,157,158
,160,161,162,207,260,316,352,358,362,525,573,577,579,611,618,622,626,813,1218,
1271,1272,1279,1287,2040],[1,2,4,5,10,11,12,13,19,20,22,23,32,40,41,57,65,71,
76,77,81,87,107,108,110,155,157,158,160,162,174,180,190,199,201,205,242,248,
261,263,288,339,351,477,483,485,494,523,524,559,571,578,613,615,620,802,1184,
1186,1195,1207,1210,1219,1257,2041],[1,2,3,4,5,10,12,13,16,19,20,21,22,23,30,
40,41,65,68,71,74,76,79,80,92,101,107,108,110,155,158,160,161,162,175,181,199,
201,206,245,248,268,270,282,339,347,475,476,491,523,525,544,572,576,613,615,
616,619,804,1184,1189,1192,1198,1199,1222,1259,2042],[1,2,4,5,9,12,13,14,19,20
,22,23,32,40,41,50,63,71,75,76,81,87,107,108,110,153,158,160,161,162,171,180,
199,201,205,246,248,262,286,289,331,351,478,483,484,522,525,540,570,578,613,
615,616,620,801,1183,1189,1195,1213,1214,1221,1262,2043],[1,2,4,5,9,10,12,13,
19,20,22,23,32,40,41,50,51,71,73,74,75,77,87,101,107,108,153,155,160,162,174,
180,190,199,201,206,239,241,258,262,280,331,347,479,484,485,494,521,522,559,
569,576,613,616,619,799,1183,1185,1192,1203,1208,1225,1263,2044],[1,2,3,4,5,9,
15,16,24,25,41,52,105,111,116,117,139,207,333,353,357,502,625,842,1141,2045],[
1,2,3,4,5,12,13,14,15,16,17,19,20,22,23,30,32,40,41,55,63,71,76,80,81,92,101,
106,107,108,109,160,170,171,174,175,176,180,190,201,205,206,241,246,272,285,
289,338,347,532,540,559,584,589,599,600,605,607,616,619,620,621,805,1235,1239,
1248,1251,1252,1262,1263,2046],[1,2,3,4,5,10,12,13,16,19,20,21,22,23,28,30,32,
40,41,65,68,71,74,76,79,80,92,101,107,108,110,160,168,173,174,175,179,180,181,
190,201,205,206,245,248,268,270,282,339,347,544,557,559,585,593,597,598,600,
605,607,615,619,620,621,804,1235,1241,1249,1250,1254,1257,1259,2047],[1,2,3,4,
5,12,13,19,20,21,24,25,30,32,40,41,71,85,88,91,99,100,114,116,160,174,180,181,
190,202,207,260,328,352,361,363,490,559,594,601,608,618,624,626,814,1246,1272,
1273,1285,1289,2048],[1,2,4,5,10,11,12,13,19,20,22,23,28,32,40,41,57,65,71,76,
77,81,87,107,108,110,157,158,160,161,162,168,173,179,180,201,205,206,242,248,
261,263,288,339,351,478,482,494,524,525,557,572,578,585,593,615,616,621,802,
1186,1189,1193,1206,1211,1220,1241,2049],[1,2,3,4,5,10,12,13,15,16,17,19,20,22
,23,30,32,40,41,51,55,71,74,77,79,81,92,106,107,108,109,110,155,158,160,161,
162,170,174,175,176,201,205,206,239,248,272,280,284,338,351,476,477,485,491,
521,525,532,571,576,584,589,615,616,621,803,1185,1189,1193,1201,1209,1224,1239
,2050],[1,2,3,4,5,10,12,13,15,16,17,19,22,23,24,30,32,40,41,55,65,74,79,80,81,
100,106,107,108,109,110,155,158,160,170,174,175,176,199,201,205,207,240,243,
287,338,339,346,351,475,476,477,479,523,532,583,589,613,615,618,620,811,1184,
1191,1195,1212,1229,1238,1258,2051],[1,2,4,5,9,10,12,13,19,22,23,24,28,32,40,
41,50,65,73,75,76,77,100,101,107,108,153,160,162,168,173,179,180,199,201,206,
207,237,240,281,331,332,346,347,474,482,483,484,522,557,586,593,613,616,618,
619,809,1183,1191,1192,1202,1232,1243,1264,2052],[1,2,3,4,5,11,12,13,21,22,25,
30,40,41,57,66,86,91,101,113,157,160,162,181,202,206,236,254,300,490,495,524,
542,614,619,720,1190,1204,1231,2053],[1,2,3,4,5,10,13,16,21,23,25,30,40,41,51,
68,91,103,107,155,160,175,181,201,202,205,239,264,490,521,544,612,616,620,722,
1185,1196,1228,2054],[1,2,4,5,11,12,13,14,19,24,25,32,40,41,57,63,89,102,103,
113,157,160,162,171,180,202,207,238,254,265,492,524,540,612,614,622,724,1190,
1197,1233,2055],[1,2,3,4,5,11,12,13,21,23,24,25,30,40,41,57,66,86,91,102,110,
113,157,160,162,181,201,202,207,238,242,300,490,495,524,542,614,615,622,723,
1186,1204,1233,2056],[1,2,4,5,11,13,22,23,24,40,41,78,82,96,100,102,108,116,
157,160,205,206,207,316,346,352,573,577,611,618,621,622,626,821,1234,1271,1272
,2057],[1,2,3,4,5,13,21,22,23,24,25,30,40,41,85,91,99,100,108,114,116,160,181,
199,201,202,207,328,346,352,490,594,601,613,618,624,626,828,1191,1272,1273,
2058],[1,2,3,4,5,11,13,14,16,17,19,21,24,25,30,32,40,41,63,66,68,69,78,82,85,
86,89,90,91,96,99,100,102,104,114,157,160,171,175,176,180,181,202,207,266,273,
302,304,305,316,327,328,330,490,492,495,540,542,544,545,573,577,588,594,601,
606,611,618,622,624,686,1158,1159,1179,1247,1255,1269,1271,1273,1274,2059],[1,
2,4,5,11,12,13,19,20,24,32,40,41,71,78,82,88,96,100,102,116,157,160,174,180,
190,207,260,316,352,358,362,559,573,577,608,611,618,622,625,813,1246,1270,1271
,1280,1288,2060],[1,2,3,4,5,13,14,16,19,21,24,30,32,40,41,63,68,90,100,116,160
,171,175,180,181,207,266,352,540,544,606,618,625,626,783,1247,1270,1272,2061],
[1,4,7,11,14,24,25,39,78,89,99,104,113,117,150,326,348,354,462,825,1266,2062],
[1,3,4,7,14,21,24,25,36,83,95,98,104,114,116,150,320,348,356,466,823,1266,2063
],[1,3,4,7,14,21,24,25,36,84,94,97,104,114,116,150,319,348,356,465,822,1266,
2064],[1,3,4,7,14,21,24,25,36,85,90,96,104,114,117,150,327,348,354,463,824,
1266,2065],[1,2,3,4,5,13,14,15,24,25,28,30,32,40,41,64,100,103,104,105,116,160
,169,170,171,173,202,207,336,352,356,357,539,587,588,612,618,625,626,835,1236,
1270,1272,1283,1284,2066],[1,3,4,7,14,20,21,24,25,47,53,59,88,90,93,95,104,150
,276,292,348,517,770,1266,2067],[1,3,4,7,14,20,21,24,25,47,53,58,88,90,93,94,
104,150,276,291,348,516,771,1266,2068],[1,2,3,4,7,13,14,15,24,25,47,64,100,103
,104,105,150,336,348,515,738,1266,2069],[1,2,3,4,6,15,17,19,20,24,25,31,35,42,
44,45,56,88,93,96,99,105,116,165,177,178,186,195,277,344,357,358,361,548,565,
844,1275,1282,2070],[1,2,3,4,5,11,15,17,19,20,21,24,25,28,30,32,41,56,67,78,85
,86,88,93,105,116,157,161,169,176,179,181,190,202,207,277,301,357,362,363,493,
495,534,543,573,579,587,601,608,625,626,837,1157,1171,1280,1281,1283,1287,1289
,2071],[1,3,4,5,14,20,21,24,25,30,32,41,53,85,88,90,93,96,104,114,116,161,171,
181,190,202,207,276,327,356,358,363,493,530,579,588,594,601,606,608,611,625,
626,815,1177,1269,1279,1281,1284,1288,1289,2072],[1,4,5,11,14,20,24,25,32,41,
53,78,88,89,93,99,104,113,116,157,161,171,190,202,207,276,326,356,361,362,492,
493,530,573,579,588,608,614,624,625,626,816,1177,1267,1280,1284,1285,1286,1287
,2073],[1,2,3,4,5,15,17,19,20,24,25,28,30,32,41,56,88,93,96,99,105,116,161,169
,176,179,190,202,207,277,344,357,358,361,493,534,579,587,608,611,624,625,626,
844,1136,1171,1279,1283,1285,1286,1288,2074],[1,2,3,4,6,15,23,24,25,42,44,45,
96,99,105,106,117,165,200,204,344,349,353,565,617,840,1282,2075],[1,2,3,4,7,13
,14,15,23,47,64,106,107,110,150,337,515,775,2076],[1,4,24,26,27,132,134,415,
627,1290,2077],[1,4,25,26,27,132,134,419,627,1290,2078],[1,4,24,26,27,132,134,
415,418,627,1290,2079],[1,2,4,13,26,27,130,132,134,136,429,627,1290,1291,2080]
,[1,3,4,21,26,27,132,133,134,137,434,627,1290,1292,2081],[1,2,23,26,27,130,136
,416,436,627,1291,2082],[1,2,22,26,27,130,136,414,438,627,1291,2083],[1,6,26,
48,216,439,847,2084],[1,2,5,6,8,9,40,43,44,118,120,121,153,154,156,405,407,408
,629,911,913,914,1293,2085],[1,2,5,6,8,10,28,29,40,118,120,121,168,366,381,386
,629,876,1294,2086],[1,2,4,5,6,8,12,28,29,31,32,34,40,42,118,120,121,172,174,
366,367,380,381,384,385,386,629,877,883,1294,1295,2087],[1,4,5,6,8,20,32,35,41
,118,120,121,190,369,383,390,629,895,1296,2088],[1,3,6,7,8,18,33,36,47,120,124
,126,196,370,395,396,397,630,896,1301,2089],[1,2,3,5,6,8,16,28,29,30,33,37,40,
45,118,120,121,175,185,366,372,381,382,386,391,392,629,878,887,1294,1300,2090]
,[1,3,4,5,6,8,17,30,31,32,33,34,35,37,41,42,45,118,120,121,176,186,187,367,369
,372,380,382,383,384,385,390,391,392,629,879,886,888,1295,1296,1300,2091],[1,2
,4,5,6,8,19,28,29,32,35,40,41,118,120,121,179,180,366,369,381,383,386,390,629,
880,881,1294,1296,2092],[1,2,4,5,6,7,8,19,28,29,31,32,34,41,44,118,121,124,125
,126,177,179,366,367,383,387,388,393,402,631,880,891,1297,1303,2093],[1,2,3,5,
6,7,8,16,28,29,33,36,44,45,118,121,124,125,126,182,185,366,370,382,387,393,394
,398,631,878,897,1297,1302,2094],[1,3,4,5,6,8,21,30,32,33,35,37,41,45,118,120,
121,181,183,369,372,382,383,390,391,392,629,894,905,1296,1300,2095],[1,4,5,7,8
,20,32,34,38,39,41,46,119,125,127,190,197,371,376,401,402,403,404,633,902,910,
1298,1299,2096],[1,2,5,6,8,22,28,29,40,118,120,121,206,366,381,386,629,848,
1294,2097],[1,2,5,6,8,23,28,29,40,118,120,121,205,366,381,386,629,849,1294,
2098],[1,2,5,6,7,8,22,28,29,44,118,121,124,125,126,208,366,387,393,631,848,
1297,2099],[1,4,5,7,8,24,34,41,119,125,127,207,371,402,633,850,1298,2100],[1,2
,5,6,8,23,40,43,44,118,120,121,201,203,204,405,407,408,629,958,959,960,1293,
2101],[1,2,5,7,8,9,43,119,125,127,139,142,154,406,633,860,872,912,2102],[1,2,5
,6,8,9,40,44,118,120,121,139,141,145,153,156,405,629,857,866,867,868,911,2103]
,[1,2,5,6,7,8,9,43,44,120,121,122,123,125,126,139,142,145,154,156,407,632,858,
859,860,864,866,913,2104],[1,2,5,6,7,8,9,40,43,44,118,121,124,125,126,139,141,
142,145,153,154,156,408,631,857,860,861,862,863,866,914,2105],[1,2,5,6,7,8,9,
40,44,118,121,124,125,126,141,142,145,153,156,405,631,861,862,864,867,911,2106
],[1,2,6,7,8,9,43,44,120,124,126,141,142,145,154,156,407,630,861,863,864,868,
913,2107],[1,2,5,6,7,8,9,40,43,44,120,121,122,123,125,126,141,142,145,153,154,
156,408,632,858,859,862,863,864,867,868,914,2108],[1,2,5,6,7,8,10,40,44,118,
121,124,125,126,140,143,146,155,159,405,631,865,869,870,871,915,2109],[1,2,4,5
,6,8,19,32,35,38,40,43,44,118,120,121,180,194,195,369,378,379,405,407,408,629,
924,925,926,1293,1305,2110],[1,2,6,8,9,43,44,119,120,154,156,406,407,634,912,
913,1309,2111],[1,2,6,8,9,43,44,120,128,154,156,407,413,638,913,957,1324,2112]
,[1,2,6,7,8,9,43,44,120,127,142,154,156,407,635,872,913,2113],[1,2,7,8,9,43,
119,122,127,142,145,154,406,636,859,872,912,2114],[1,2,7,8,9,43,119,123,127,
142,145,154,406,637,858,872,912,2115],[1,2,5,6,8,10,28,40,43,44,118,120,121,
155,159,168,381,387,405,407,408,629,915,930,937,1293,1317,2116],[1,2,4,5,6,8,
19,31,40,41,42,43,44,46,118,120,121,158,163,164,177,380,388,389,405,407,408,
409,629,916,929,931,932,1293,1318,2117],[1,2,5,6,8,22,40,43,44,118,120,121,199
,206,208,405,407,408,629,953,955,961,1293,2118],[1,2,5,6,8,23,40,43,44,118,120
,121,200,205,209,210,405,407,408,629,951,952,954,962,1293,2119],[1,2,4,5,6,8,
13,28,29,32,35,40,41,43,44,118,120,121,160,173,189,366,369,381,383,386,390,405
,407,408,629,918,938,945,1293,1294,1296,2120],[1,2,4,5,6,8,12,32,35,40,41,43,
44,118,120,121,162,174,188,369,383,390,405,407,408,629,919,942,944,1293,1296,
2121],[1,2,3,5,6,8,16,30,33,37,40,43,44,45,118,120,121,166,175,182,193,372,382
,391,392,405,407,408,629,921,940,941,943,1293,1300,2122],[1,2,3,4,5,6,8,15,30,
31,32,33,34,37,40,42,43,44,45,118,120,121,165,170,184,191,367,372,380,382,384,
385,391,392,405,407,408,629,922,933,934,939,1293,1295,1300,2123],[1,2,6,8,23,
43,44,119,120,200,203,210,406,407,634,952,956,1309,2124],[1,2,4,6,8,19,31,38,
43,44,46,119,120,164,177,194,389,403,406,407,634,932,948,1309,1330,2125],[1,2,
6,8,9,43,44,120,129,154,156,407,639,913,963,2126],[1,2,4,5,6,8,19,28,32,35,38,
40,41,44,118,120,121,179,180,195,369,378,379,381,383,387,390,405,629,881,903,
924,1296,1305,1317,2127],[1,2,4,5,6,8,13,28,29,32,35,38,40,44,118,120,121,173,
189,366,369,378,379,381,386,387,405,629,884,906,918,1294,1305,1317,2128],[1,4,
5,6,8,20,31,32,34,35,38,41,42,46,118,120,121,178,190,197,367,369,378,379,380,
384,385,388,389,409,629,882,892,893,927,1295,1305,1318,2129],[1,3,4,5,6,8,17,
30,31,32,33,35,37,38,41,42,45,46,118,120,121,176,186,187,192,369,372,378,379,
380,382,388,389,391,392,409,629,879,889,890,923,1300,1305,1318,2130],[1,2,4,5,
6,7,8,13,28,29,32,35,38,39,40,44,118,121,124,125,126,173,189,366,369,375,376,
377,379,386,387,393,405,631,904,906,918,1297,1307,1319,2131],[1,3,4,5,6,7,8,21
,32,33,35,36,38,39,45,47,118,121,124,125,126,183,198,369,370,375,376,377,379,
382,394,397,398,410,631,894,898,901,928,1302,1307,1322,2132],[1,3,4,6,7,8,21,
33,35,36,38,39,45,47,120,124,126,183,198,370,375,377,378,395,396,397,398,410,
630,899,900,901,928,1301,1306,1323,2133],[1,4,5,6,7,8,20,31,32,34,35,38,39,41,
42,46,118,121,124,125,126,178,190,197,367,369,375,376,377,379,383,384,388,401,
402,409,631,892,895,910,927,1303,1307,1320,2134],[1,4,5,6,7,8,20,31,32,34,35,
38,39,41,42,46,120,121,122,123,125,126,178,190,197,367,373,374,376,377,378,379
,385,389,399,400,401,402,409,632,893,908,909,910,927,1304,1308,1321,2135],[1,2
,5,6,8,10,28,29,40,44,118,120,121,155,168,366,381,386,387,405,629,876,930,1294
,1317,2136],[1,4,5,6,8,20,31,32,35,41,42,46,118,120,121,161,178,369,380,383,
388,389,390,409,629,882,936,1296,1318,2137],[1,2,3,4,5,6,8,15,28,30,31,33,37,
40,41,42,44,45,46,118,120,121,165,169,184,372,380,381,382,387,388,389,391,392,
405,409,629,885,935,939,1300,1317,1318,2138],[1,2,4,5,6,8,12,28,29,31,40,41,42
,46,118,120,121,162,172,366,380,381,386,388,389,409,629,877,946,1294,1318,2139
],[1,2,4,5,6,8,19,28,31,32,34,40,41,42,44,46,118,120,121,163,177,179,367,380,
381,384,385,387,388,389,405,409,629,891,929,947,1295,1317,1318,2140],[1,2,4,5,
6,8,13,28,32,35,40,41,44,118,120,121,160,173,369,381,383,387,390,405,629,884,
945,1296,1317,2141],[1,2,4,5,6,7,8,19,28,29,32,41,42,44,46,118,121,124,125,126
,163,179,366,383,384,387,393,401,409,631,880,947,1297,1320,2142],[1,2,4,5,6,7,
8,12,29,31,32,34,40,41,42,44,46,118,121,124,125,126,162,172,174,367,383,384,
386,388,393,401,402,405,409,631,883,942,946,1303,1319,1320,2143],[1,2,3,5,6,7,
8,16,28,29,33,44,45,47,118,121,124,125,126,166,185,366,382,387,393,394,397,410
,631,878,949,1297,1322,2144],[1,2,3,5,6,7,8,16,29,33,36,40,44,45,47,118,121,
124,125,126,166,182,185,370,382,386,393,394,397,398,405,410,631,897,943,949,
1302,1319,1322,2145],[1,3,6,7,8,18,33,36,45,47,120,124,126,167,196,370,395,396
,397,398,410,630,896,950,1301,1323,2146],[1,2,5,6,8,23,28,29,40,118,120,121,
201,366,381,386,629,849,1294,2147],[1,4,5,6,8,25,32,35,41,118,120,121,202,369,
383,390,629,852,1296,2148],[1,2,5,6,7,8,23,28,29,44,118,121,124,125,126,204,
366,387,393,631,849,1297,2149],[1,2,8,9,43,123,128,129,145,154,413,640,858,957
,963,2150],[1,2,8,9,43,122,128,129,145,154,413,641,859,957,963,2151],[1,2,5,7,
8,9,43,125,128,129,139,142,154,413,642,860,957,963,2152],[1,2,6,8,23,43,44,119
,120,203,204,210,406,407,634,956,959,1309,2153],[1,2,3,4,6,8,15,34,37,42,43,44
,45,119,120,165,191,368,371,385,392,406,407,634,917,934,1309,1310,1311,2154],[
1,2,4,6,8,19,35,38,43,44,46,119,120,164,194,195,378,403,406,407,634,925,948,
1309,1316,2155],[1,2,3,6,8,16,37,43,44,45,119,120,166,193,368,392,406,407,634,
920,941,1309,1311,2156],[1,4,6,8,20,31,34,35,38,42,46,119,120,178,197,371,378,
385,389,403,634,893,902,1310,1316,1330,2157],[1,3,4,6,8,17,31,35,37,38,45,46,
119,120,186,192,368,378,389,392,403,634,890,907,1311,1316,1330,2158],[1,4,7,8,
20,34,38,39,46,119,122,127,197,371,374,399,403,404,636,902,909,1313,1315,1332,
2159],[1,4,7,8,20,34,38,39,46,119,123,127,197,371,373,400,403,404,637,902,908,
1312,1314,1333,2160],[1,2,3,4,6,8,15,34,37,42,43,44,45,120,128,165,191,385,392
,407,411,412,413,638,934,964,1324,1325,1326,2161],[1,2,3,6,8,16,37,43,44,45,
120,128,166,193,392,407,412,413,638,941,965,1324,1326,2162],[1,3,27,137,138,
444,1334,2163],[1,2,3,4,11,15,21,48,49,66,67,214,220,1335,2164],[1,2,3,4,9,10,
15,16,19,22,23,48,52,62,73,75,79,80,109,212,213,214,283,643,644,645,646,647,
648,649,1336,1337,1338,1339,1340,1341,1342,2165],[1,2,5,9,10,22,26,28,40,73,
130,139,168,414,445,1343,2166],[1,2,4,6,10,12,22,26,29,31,42,74,130,140,172,
414,448,1344,2167],[1,2,4,5,9,19,23,26,28,32,41,75,130,139,179,416,449,1343,
2168],[1,2,3,6,10,16,23,26,29,33,45,79,130,140,185,416,453,1344,2169],[1,2,4,6
,11,13,24,27,29,35,44,82,134,144,189,418,450,1345,2170],[1,3,4,7,14,21,25,27,
36,39,47,95,134,150,198,419,466,1348,2171],[1,3,4,7,14,21,25,27,36,39,47,94,
134,150,198,419,465,1347,2172],[1,3,4,7,14,21,24,27,36,39,47,90,134,150,198,
418,463,1348,2173],[1,3,4,7,14,21,24,27,36,39,47,90,134,150,198,418,463,1347,
2174],[1,3,4,6,11,21,25,27,33,35,45,86,134,144,183,419,459,1345,2175],[1,4,8,
20,25,27,34,38,46,93,134,147,197,419,468,1346,2176],[1,4,8,20,24,27,34,38,46,
88,134,147,197,418,456,1349,2177],[1,2,3,4,5,9,15,16,26,28,30,41,52,130,131,
135,139,169,425,502,1343,2178],[1,2,4,5,9,12,13,26,28,32,40,50,130,132,136,139
,173,429,500,1343,2179],[1,2,4,6,10,13,19,26,29,35,44,65,130,132,136,140,189,
429,505,1344,2180],[1,3,4,6,11,21,27,33,35,45,66,133,134,137,144,183,434,509,
1345,2181],[1,3,4,7,14,21,27,36,39,47,59,133,134,137,150,198,434,517,1348,2182
],[1,3,4,7,14,21,27,36,39,47,58,133,134,137,150,198,434,516,1347,2183],[1,3,4,
7,17,18,21,27,36,39,47,61,133,134,137,149,198,434,518,1350,2184],[1,2,4,5,9,12
,13,26,40,50,130,132,136,139,215,420,428,429,500,650,971,1356,2185],[1,2,3,4,5
,9,15,16,26,41,52,131,132,136,139,215,420,427,430,502,652,977,1356,2186],[1,2,
4,6,10,13,19,26,44,65,130,132,136,140,216,423,429,433,505,651,984,1357,2187],[
1,2,3,4,6,10,15,19,26,45,62,131,132,136,140,216,423,427,433,504,653,983,1357,
2188],[1,2,4,6,9,12,13,26,44,50,130,132,136,141,216,420,428,429,507,651,971,
1358,2189],[1,3,4,6,11,21,26,45,66,131,135,144,216,421,432,509,653,976,1359,
2190],[1,2,3,4,6,11,15,21,26,44,67,130,131,135,144,216,421,425,432,510,651,972
,1359,2191],[1,2,4,5,9,12,13,26,40,50,135,136,139,215,420,422,424,500,663,969,
1356,2192],[1,2,4,6,10,13,26,42,51,135,136,140,216,422,423,501,664,968,1357,
2193],[1,4,6,11,26,42,49,135,144,216,421,503,664,967,1359,2194],[1,2,4,5,9,12,
13,26,40,41,50,130,132,136,153,160,162,215,420,428,429,522,650,652,663,971,
1360,1378,1379,2195],[1,2,6,9,10,22,26,29,73,136,140,216,420,423,438,446,661,
1007,1357,2196],[1,2,5,9,10,22,26,28,73,136,139,215,420,423,438,445,660,1007,
1356,2197],[1,2,4,6,10,12,22,26,31,74,135,136,140,216,423,424,438,448,659,1006
,1357,2198],[1,2,4,6,11,13,24,26,29,82,135,136,144,216,421,422,437,450,661,
1008,1359,2199],[1,4,6,11,24,26,31,78,135,144,216,421,437,451,659,1005,1359,
2200],[1,2,6,9,10,22,26,29,73,136,141,216,420,423,438,447,661,1007,1358,2201],
[1,2,4,5,9,19,23,26,32,75,132,136,139,215,420,433,436,449,656,1022,1356,2202],
[1,2,4,6,10,12,23,26,35,77,132,136,140,216,423,428,436,452,658,1021,1357,2203]
,[1,2,3,6,10,16,23,26,33,79,131,136,140,216,423,430,436,453,655,1019,1357,2204
],[1,3,4,6,11,21,25,26,33,86,131,135,144,216,421,432,435,459,655,1025,1359,
2205],[1,4,6,11,14,25,26,35,89,132,135,144,216,421,426,435,460,658,1024,1359,
2206],[1,2,4,6,9,19,23,26,35,75,132,136,141,216,420,433,436,457,658,1022,1358,
2207],[1,2,4,5,13,22,26,28,32,40,101,130,132,136,173,199,206,215,414,429,586,
650,656,660,987,1351,1361,1366,2208],[1,2,3,4,6,15,22,23,26,31,33,44,109,130,
131,135,184,200,208,216,414,416,425,590,651,655,659,988,1352,1362,1367,2209],[
1,2,3,4,6,15,23,26,31,33,44,106,130,131,135,184,204,209,216,416,425,591,651,
655,659,993,1354,1364,1367,2210],[1,2,4,5,13,22,23,26,28,32,40,108,130,132,136
,173,201,206,215,414,416,429,593,650,656,660,997,1353,1361,1366,2211],[1,2,4,6
,13,22,23,26,29,35,44,108,130,132,136,189,204,208,216,414,416,429,595,651,658,
661,997,1354,1362,1371,2212],[1,2,4,6,13,23,26,29,35,44,107,130,132,136,189,
200,209,216,416,429,592,651,658,661,994,1352,1364,1371,2213],[1,3,4,5,21,24,25
,27,30,41,114,133,134,137,181,202,207,217,418,419,434,594,654,657,662,998,1355
,1365,1372,2214],[1,2,4,5,9,19,23,26,32,40,75,132,136,153,180,201,215,420,433,
436,484,656,663,1022,1360,1376,1381,2215],[1,2,4,5,10,13,19,26,28,32,40,41,65,
130,132,136,160,168,173,179,180,215,423,429,433,557,650,652,656,660,663,984,
1366,1370,1374,1376,1378,2216],[1,2,3,4,6,12,13,15,16,17,26,29,31,33,35,42,44,
45,55,130,131,132,135,136,165,172,184,185,186,187,189,216,424,425,429,430,431,
549,651,653,655,658,659,661,664,978,1367,1368,1369,1371,1375,1377,1380,2217],[
1,2,5,9,10,22,26,28,40,73,136,153,168,199,215,420,423,438,474,660,663,1007,
1360,1373,1374,2218],[1,2,4,5,13,23,26,40,41,107,130,132,136,160,201,215,416,
429,616,650,652,663,994,1353,1378,2219],[1,2,4,5,13,22,23,26,40,41,108,130,132
,136,160,199,201,215,414,416,429,613,650,652,663,997,1351,1353,1378,2220],[1,2
,3,4,6,15,23,26,42,44,45,106,130,131,135,165,200,204,216,416,425,617,651,653,
664,993,1352,1354,1380,2221],[1,2,4,5,13,22,23,26,40,41,108,130,132,136,160,
199,201,215,429,436,438,613,650,652,663,1011,1373,1378,1381,2222],[1,2,4,5,12,
19,22,26,32,40,41,76,132,136,162,180,199,215,428,433,438,483,652,656,663,1017,
1373,1376,1379,2223],[1,2,4,5,10,12,23,26,28,40,41,77,132,136,162,168,201,215,
423,428,436,482,652,660,663,1021,1374,1379,1381,2224],[1,2,4,5,13,24,26,40,41,
100,130,132,136,160,207,215,415,429,618,650,652,663,986,1363,1378,2225],[1,2,4
,5,13,22,26,40,41,101,130,132,136,160,206,215,414,429,619,650,652,663,987,1361
,1378,2226],[1,2,3,4,6,15,22,23,26,42,44,45,109,130,131,135,165,208,209,216,
414,416,425,623,651,653,664,988,1362,1364,1380,2227],[1,4,6,24,26,42,96,135,
216,437,565,664,985,2228],[1,2,5,6,28,29,48,118,214,366,442,443,1036,1037,1382
,2229],[1,4,5,6,8,32,42,48,121,212,384,439,440,442,1027,1031,1383,2230],[1,3,6
,7,33,45,48,124,213,394,439,441,443,1028,1032,1384,2231],[1,3,6,7,8,33,47,48,
126,213,397,440,441,443,1030,1032,1386,2232],[1,4,5,7,8,32,46,48,125,212,401,
440,441,442,1029,1031,1385,2233],[1,4,5,6,32,41,48,118,212,383,442,443,1031,
1034,1382,2234],[1,3,5,6,33,45,48,118,213,382,442,443,1032,1035,1382,2235],[1,
4,5,6,8,41,42,46,48,121,212,409,439,440,442,1027,1029,1034,1383,2236],[1,3,6,7
,45,47,48,124,213,410,439,441,443,1028,1030,1035,1384,2237],[1,2,5,6,8,28,44,
48,121,214,387,439,440,442,1033,1037,1383,2238],[1,2,6,7,29,44,48,124,214,393,
439,441,443,1033,1036,1384,2239],[1,2,3,4,9,10,11,12,13,14,15,16,17,18,19,20,
21,24,25,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,
72,78,82,83,84,85,86,89,90,91,94,95,96,97,98,99,100,102,103,104,105,111,112,
113,114,115,220,221,222,223,225,226,228,229,230,231,232,233,235,257,259,264,
265,266,273,274,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,
306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,
325,326,327,328,329,330,333,334,335,336,341,342,343,344,345,666,668,669,671,
672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,733,735,736,744,
745,746,747,748,749,750,751,752,753,754,756,768,829,830,831,832,833,834,1408,
1409,1410,1411,1415,1416,1434,2240],[1,2,3,4,9,11,12,13,14,15,16,17,18,21,24,
25,49,50,52,54,55,57,58,59,60,61,64,66,67,68,69,70,72,78,82,83,84,85,86,89,90,
91,94,95,102,105,111,113,114,115,218,220,222,223,224,225,226,229,232,233,234,
235,238,254,255,256,259,274,296,297,298,300,301,302,303,304,305,306,307,308,
309,310,311,312,313,314,315,333,341,342,343,666,667,669,670,687,691,692,693,
712,713,714,715,736,744,745,746,747,748,749,753,768,796,797,798,1387,1416,1420
,1427,1428,1429,1430,2241],[1,2,3,4,9,10,11,12,13,14,15,16,17,18,19,20,21,22,
23,24,25,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,73,74,
75,76,77,79,80,81,82,87,89,90,91,92,94,95,100,101,103,104,105,106,107,108,109,
110,111,112,218,221,222,223,224,225,226,228,229,230,231,232,233,234,236,237,
242,243,244,245,247,250,251,257,258,261,262,263,264,265,266,268,269,270,271,
272,273,274,275,278,279,281,283,284,285,286,287,290,291,292,293,294,295,296,
297,298,299,331,333,334,335,336,337,338,340,667,668,669,670,688,694,695,696,
700,701,707,708,709,710,711,735,737,742,750,751,752,753,754,756,757,758,759,
760,761,762,767,784,788,789,791,792,793,794,1387,1415,1417,1418,1419,1422,1423
,1424,1425,1426,1432,2242],[1,2,3,4,10,11,12,13,14,15,16,17,19,21,22,23,24,25,
49,51,55,57,62,63,64,65,66,67,68,69,70,78,82,85,86,89,90,91,96,99,100,101,102,
103,104,105,108,109,110,111,112,113,114,220,228,233,244,251,252,257,259,264,
265,266,273,274,300,301,302,303,304,305,316,326,327,328,329,330,332,334,336,
339,340,343,344,671,684,685,686,727,730,734,756,768,777,790,792,829,1408,1476,
1481,2243],[1,2,3,4,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,51,55,57,58,
59,60,62,63,64,65,66,67,68,69,70,72,82,83,84,85,86,89,90,91,94,95,97,98,99,100
,101,103,104,105,106,107,108,109,110,111,112,113,114,115,223,228,233,235,239,
244,245,246,250,251,252,257,264,265,266,273,274,293,294,295,297,300,304,306,
307,308,309,310,311,312,313,314,315,317,318,319,320,321,322,323,324,325,328,
329,332,334,336,337,339,340,341,342,345,674,675,676,680,682,683,684,718,722,
731,732,734,747,749,751,756,776,777,785,790,792,793,830,834,1409,1476,1477,
1486,1488,2244],[1,2,3,4,10,11,12,13,14,15,16,17,19,21,23,24,25,49,51,55,57,62
,63,64,65,66,67,68,69,70,77,78,79,82,85,86,87,89,90,91,92,96,99,100,102,103,
104,105,106,107,110,113,114,219,220,227,228,233,239,240,246,249,257,259,263,
264,265,266,268,271,273,274,279,284,300,301,302,303,304,305,316,326,327,328,
329,330,336,337,343,344,665,671,684,685,686,689,697,698,699,718,722,756,759,
768,785,787,829,1389,1394,1408,1431,1488,2245],[1,2,3,4,9,10,11,12,13,14,15,16
,17,19,21,22,23,24,25,49,50,51,52,54,55,57,62,63,64,65,66,67,68,69,70,73,74,75
,76,77,78,79,80,81,82,85,86,89,90,91,96,99,100,101,102,103,104,105,108,109,110
,113,114,218,220,228,229,232,233,234,236,237,238,242,243,244,245,247,254,255,
257,258,259,264,265,266,273,274,281,283,284,285,286,287,290,300,301,302,303,
304,305,316,326,327,328,329,330,336,340,343,344,667,671,684,685,686,687,688,
691,692,693,694,695,696,700,701,716,717,719,720,721,723,724,756,767,768,784,
788,796,829,1388,1390,1391,1392,1393,1395,1408,1427,1432,1487,1489,2246],[1,2,
3,4,10,11,12,13,14,15,16,17,18,19,21,23,24,25,51,55,57,58,59,60,62,63,64,65,66
,67,68,69,70,72,77,79,82,83,84,85,86,87,89,90,91,92,94,95,97,98,99,100,103,104
,105,106,107,110,111,112,113,114,115,219,223,227,228,233,235,239,240,246,249,
252,257,263,264,265,266,268,271,273,274,279,284,293,294,295,297,300,304,306,
307,308,309,310,311,312,313,314,315,317,318,319,320,321,322,323,324,325,328,
329,334,336,337,341,342,345,665,674,675,676,680,682,683,684,689,697,698,699,
705,706,727,730,731,732,747,749,751,756,759,785,787,790,830,834,1404,1405,1407
,1409,1421,1431,1481,1486,2247],[1,2,3,4,9,10,11,12,13,14,15,16,17,18,19,21,22
,23,24,25,50,51,52,54,55,57,58,59,60,62,63,64,65,66,67,68,69,70,72,73,74,75,76
,77,79,80,81,82,83,84,85,86,89,90,91,94,95,97,98,99,100,101,103,104,105,108,
109,110,111,112,113,114,115,218,223,228,229,232,233,234,235,236,237,242,243,
244,245,247,254,256,257,258,264,265,266,273,274,281,283,284,285,286,287,290,
293,294,295,297,300,304,306,307,308,309,310,311,312,313,314,315,317,318,319,
320,321,322,323,324,325,328,329,334,336,340,341,342,345,667,674,675,676,680,
682,683,684,688,691,694,695,696,700,701,713,714,719,720,725,726,728,729,747,
749,751,756,767,784,788,797,830,834,1390,1396,1397,1398,1399,1406,1409,1428,
1432,1480,1484,2248],[1,2,3,4,10,11,12,13,14,15,16,17,18,19,21,23,24,25,51,54,
55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,77,79,82,83,84,85,86,87,89,90,
91,92,94,95,97,98,99,100,102,103,104,105,106,107,110,111,112,113,114,115,223,
224,225,226,228,233,234,235,238,242,243,250,251,254,255,256,257,263,264,265,
266,268,271,273,274,279,284,293,294,295,297,298,300,302,304,306,307,308,309,
310,311,312,313,314,315,317,318,319,320,321,322,323,324,325,328,329,334,336,
337,341,342,343,345,670,674,675,676,680,682,683,684,692,696,707,708,709,713,
714,715,716,719,723,724,728,729,746,747,749,751,756,759,789,791,796,798,830,
834,1391,1400,1401,1406,1409,1423,1429,1482,1487,2249],[1,2,3,4,10,11,12,13,14
,15,16,17,18,19,21,23,24,25,49,51,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69
,70,77,78,79,82,83,84,85,86,87,89,90,91,92,94,95,96,99,100,102,103,104,105,106
,107,110,111,113,114,115,220,224,225,226,228,233,234,242,243,250,251,254,255,
256,257,259,263,264,265,266,268,271,273,274,279,284,296,300,301,302,303,304,
305,307,308,311,312,313,316,326,327,328,329,330,336,337,341,343,344,670,671,
684,685,686,693,696,707,708,709,712,713,714,715,719,721,725,726,728,729,745,
756,759,768,789,791,797,798,829,1392,1402,1403,1406,1408,1423,1430,1480,1483,
2250],[1,2,3,4,9,11,12,13,14,15,16,17,18,19,20,21,23,24,25,49,50,52,53,54,55,
56,57,58,59,60,61,63,64,66,67,68,69,70,71,72,75,78,81,82,83,84,85,86,87,89,90,
91,92,94,95,97,98,99,102,103,104,105,106,107,110,111,112,113,114,115,218,220,
226,229,230,232,233,234,235,238,242,247,250,251,254,255,256,259,262,265,269,
271,272,273,274,275,286,291,292,293,294,295,296,297,298,299,300,301,302,303,
304,305,307,308,309,310,311,312,313,314,315,317,318,319,320,321,322,323,324,
325,326,329,330,334,335,337,341,342,343,345,667,675,676,677,678,679,681,682,
683,685,687,691,692,693,695,707,710,713,714,721,723,724,725,726,728,729,745,
747,748,752,754,760,768,789,794,796,797,832,833,834,1395,1396,1397,1400,1401,
1402,1403,1410,1424,1427,1428,1482,1483,1485,2251],[1,2,3,4,11,12,13,14,15,16,
17,18,19,20,21,22,23,24,25,49,53,54,55,56,57,58,59,60,61,63,64,66,67,68,69,70,
71,72,76,78,80,82,83,84,85,86,87,89,90,91,92,94,95,97,98,99,101,102,103,104,
105,108,109,110,111,112,113,114,115,220,224,225,226,230,233,234,235,236,238,
242,244,245,251,254,255,256,259,261,265,270,271,273,274,278,285,291,292,293,
294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,
313,314,315,317,318,319,320,321,322,323,324,325,326,329,330,334,335,340,341,
342,343,345,670,675,676,677,678,679,681,682,683,685,692,693,694,707,711,712,
713,714,715,717,720,721,723,724,725,726,728,729,745,746,747,748,752,754,758,
768,784,792,796,797,798,832,833,834,1393,1398,1399,1400,1401,1402,1403,1410,
1422,1429,1430,1484,1485,1489,2252],[1,2,3,4,9,10,11,12,13,14,15,16,17,18,19,
20,21,24,25,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,82,
89,90,91,94,95,100,102,103,104,105,111,112,113,114,115,221,222,223,225,226,228
,229,230,231,232,233,238,254,255,256,257,264,265,266,273,274,291,292,293,294,
295,296,297,298,299,333,334,335,336,341,342,343,668,669,716,719,724,725,726,
735,736,750,751,752,753,754,756,796,797,798,1415,1420,1480,1485,1487,2253],[1,
2,3,4,9,11,12,13,14,15,16,17,18,21,22,23,24,25,49,50,52,54,55,57,58,59,60,61,
64,66,67,68,69,70,72,78,82,83,84,85,86,89,90,91,94,95,101,102,105,106,107,108,
109,110,111,113,114,115,220,222,223,225,226,229,232,233,235,236,238,242,245,
250,254,255,256,259,274,296,297,298,300,301,302,303,304,305,306,307,308,309,
310,311,312,313,314,315,331,333,337,338,340,341,342,343,666,669,717,720,721,
723,728,729,736,737,744,745,746,747,748,749,753,768,784,789,793,796,797,798,
1416,1418,1420,1482,1483,1484,1489,2254],[1,2,3,4,10,11,12,13,14,15,16,17,18,
19,21,23,24,25,51,54,55,57,58,59,60,61,62,63,64,65,67,68,69,70,77,79,82,87,89,
90,91,92,100,103,104,105,106,107,110,219,224,225,226,227,228,233,234,239,240,
242,243,246,249,250,251,257,263,264,265,266,268,271,273,274,279,284,336,337,
348,349,665,670,689,696,697,698,699,707,708,709,738,739,756,759,775,785,787,
789,791,1423,1431,1472,1505,2255],[1,2,4,9,10,11,12,13,19,20,22,23,24,49,50,51
,57,65,71,73,74,75,76,77,78,82,87,88,96,100,101,102,107,108,116,218,219,221,
236,237,238,239,240,241,257,258,259,260,261,262,263,280,281,282,316,331,332,
346,347,352,358,362,671,687,688,689,690,716,717,718,742,743,769,778,799,800,
809,813,821,1388,1389,1435,1446,1447,1456,1462,2256],[1,2,3,4,9,10,11,12,13,16
,19,20,21,22,23,24,25,50,51,57,65,66,68,71,73,74,75,76,77,79,82,85,86,87,88,91
,92,99,100,101,103,107,108,113,114,116,218,219,221,236,237,239,240,241,249,254
,257,258,260,261,262,263,264,268,280,281,282,300,304,328,329,331,332,346,347,
352,361,363,684,688,689,690,691,697,718,719,720,722,742,743,769,778,799,800,
809,814,828,1390,1394,1436,1446,1449,1456,1463,2257],[1,2,3,4,10,11,12,13,14,
15,16,17,19,20,21,22,23,24,25,51,54,55,56,57,62,65,66,68,69,70,71,74,76,77,79,
80,81,82,85,86,87,88,90,91,92,99,100,102,103,106,107,108,109,110,113,114,116,
219,231,234,238,239,240,242,243,248,249,255,257,260,261,263,264,268,269,272,
278,279,280,284,287,288,290,300,302,304,328,329,338,339,346,351,352,361,363,
684,689,692,696,697,704,716,718,722,723,762,765,769,778,802,803,811,814,828,
1391,1394,1436,1447,1448,1458,1462,2258],[1,2,3,4,10,11,12,13,14,15,16,17,19,
20,21,22,23,24,25,49,51,54,55,56,57,62,65,69,70,71,74,76,77,78,79,80,81,82,86,
87,88,89,92,96,100,102,106,107,108,109,110,113,116,219,231,234,239,240,242,243
,248,254,255,257,259,260,261,263,269,272,278,279,280,284,287,288,290,303,316,
338,339,346,351,352,358,362,671,689,693,696,704,718,719,721,762,765,769,778,
802,803,811,813,821,1389,1392,1435,1448,1449,1458,1463,2259],[1,2,3,4,10,11,12
,13,14,15,16,17,19,20,21,22,23,25,54,55,56,57,59,62,63,65,66,69,70,71,74,76,77
,79,80,81,83,84,86,87,89,91,92,93,94,98,101,103,106,107,108,109,112,113,115,
117,227,231,234,236,241,244,246,249,252,254,256,261,263,265,267,269,272,278,
279,282,285,287,289,290,294,300,307,312,317,324,332,338,347,350,355,360,365,
675,694,698,702,706,714,720,725,727,732,762,763,773,779,800,805,812,818,827,
1399,1405,1438,1450,1452,1459,1465,2260],[1,2,3,4,10,11,12,13,14,15,16,17,19,
20,21,22,23,25,54,55,56,57,58,62,63,65,66,69,70,71,74,76,77,79,80,81,83,84,86,
87,89,91,92,93,95,97,101,103,106,107,108,109,112,113,115,117,227,231,234,236,
241,244,246,249,252,254,256,261,263,265,267,269,272,278,279,282,285,287,289,
290,293,300,308,313,318,323,332,338,347,350,355,359,364,676,694,698,702,705,
713,720,726,727,731,762,763,773,779,800,805,812,817,826,1398,1404,1439,1450,
1451,1459,1464,2261],[1,2,3,4,9,10,11,12,13,14,19,20,21,22,23,25,50,57,58,63,
65,66,71,73,75,76,77,81,83,86,87,89,91,93,95,97,103,107,108,110,112,113,115,
117,218,221,227,242,246,247,248,249,252,254,261,262,263,265,267,281,286,288,
289,293,300,313,318,323,331,339,350,351,355,359,364,676,691,695,698,703,705,
725,727,728,731,742,764,773,779,801,802,810,817,826,1397,1404,1439,1452,1453,
1457,1465,2262],[1,2,3,4,9,10,11,12,13,14,19,20,21,22,23,25,50,57,59,63,65,66,
71,73,75,76,77,81,84,86,87,89,91,93,94,98,103,107,108,110,112,113,115,117,218,
221,227,242,246,247,248,249,252,254,261,262,263,265,267,281,286,288,289,294,
300,312,317,324,331,339,350,351,355,360,365,675,691,695,698,703,706,726,727,
729,732,742,764,773,779,801,802,810,818,827,1396,1405,1438,1451,1453,1457,1464
,2263],[1,2,3,4,10,11,12,13,14,15,16,17,19,21,23,24,25,51,55,57,62,63,64,65,67
,68,69,70,82,89,90,91,100,103,104,105,106,107,110,111,113,115,228,233,239,240,
243,246,249,251,254,256,257,264,265,266,273,274,336,337,341,348,349,718,719,
722,725,726,738,739,756,785,787,791,797,1472,1480,1488,2264],[1,2,3,4,10,11,12
,13,14,15,16,17,19,21,23,24,25,51,55,57,62,63,64,65,67,68,69,70,82,89,90,91,
100,102,103,104,105,106,107,110,111,112,113,114,228,233,238,240,243,249,251,
252,254,255,257,264,265,266,273,274,334,336,337,343,348,349,716,719,724,727,
730,738,739,756,787,790,791,796,1472,1481,1487,2265],[1,2,3,4,9,10,11,12,13,14
,15,16,17,19,21,22,23,24,25,50,51,52,54,55,57,62,63,64,65,67,68,69,70,73,74,75
,76,77,79,80,81,82,89,90,91,100,101,103,104,105,106,107,108,109,110,111,112,
218,228,229,232,233,234,236,237,240,242,243,244,245,247,249,251,252,257,258,
264,265,266,273,274,281,283,284,285,286,287,290,331,332,333,334,335,336,337,
338,339,340,346,347,348,349,350,351,667,688,694,695,696,700,701,734,735,737,
738,739,740,741,756,767,776,777,784,787,788,790,791,792,794,809,810,811,812,
1419,1432,1472,1474,1475,1476,1478,1491,1492,2266],[1,2,3,4,10,11,12,13,14,15,
16,17,19,21,23,24,25,51,55,57,62,63,64,65,67,68,69,70,77,79,82,87,89,90,91,92,
100,102,103,104,105,106,107,110,113,114,116,219,227,228,233,238,239,240,246,
249,254,255,257,263,264,265,266,268,271,273,274,279,284,336,337,343,352,356,
357,665,689,697,698,699,716,719,724,756,759,778,783,785,787,796,835,1431,1447,
1449,1471,1487,2267],[1,2,3,4,9,10,11,12,13,14,15,16,17,19,21,22,23,24,25,50,
51,52,54,55,57,62,63,64,65,67,68,69,70,73,74,75,76,77,79,80,81,82,89,90,91,100
,101,103,104,105,106,107,108,109,110,116,218,228,229,232,233,234,236,237,239,
242,243,244,245,246,247,257,258,264,265,266,273,274,281,283,284,285,286,287,
290,336,337,340,352,356,357,667,688,694,695,696,700,701,718,722,756,767,778,
783,784,785,788,835,1432,1446,1448,1471,1488,2268],[1,2,3,4,10,11,12,13,14,15,
16,17,18,19,21,23,24,25,51,54,55,57,58,59,60,61,62,63,64,65,67,68,69,70,77,79,
82,87,89,90,91,92,100,103,104,105,106,107,110,117,224,225,226,228,233,234,239,
242,243,246,250,251,257,263,264,265,266,268,271,273,274,279,284,336,337,353,
354,355,670,696,707,708,709,718,722,756,759,779,780,785,789,791,836,1423,1455,
1469,1488,2269],[1,2,3,4,10,11,12,13,14,15,16,17,19,21,23,24,25,51,55,57,62,63
,64,65,67,68,69,70,77,79,82,87,89,90,91,92,100,103,104,105,106,107,110,111,113
,115,117,219,227,228,233,239,240,246,249,254,256,257,263,264,265,266,268,271,
273,274,279,284,336,337,341,353,354,355,665,689,697,698,699,719,725,726,756,
759,779,780,785,787,797,836,1431,1451,1452,1469,1480,2270],[1,2,3,4,10,11,12,
13,14,15,16,17,18,19,21,23,24,25,51,54,55,57,58,59,60,61,62,63,64,65,67,68,69,
70,77,79,82,87,89,90,91,92,100,103,104,105,106,107,110,111,112,116,224,225,226
,228,233,234,242,243,250,251,252,257,263,264,265,266,268,271,273,274,279,284,
334,336,337,352,356,357,670,696,707,708,709,727,730,756,759,778,783,789,790,
791,835,1423,1454,1471,1481,2271],[1,2,3,4,9,10,11,12,13,14,15,16,17,19,21,22,
23,24,25,50,51,52,54,55,57,62,63,64,65,67,68,69,70,73,74,75,76,77,79,80,81,82,
89,90,91,100,101,103,104,105,108,109,110,111,112,117,218,228,229,232,233,234,
236,237,242,243,244,245,247,252,257,258,264,265,266,273,274,281,283,284,285,
286,287,290,334,336,340,353,354,355,667,688,694,695,696,700,701,727,730,756,
767,779,780,784,788,790,836,1432,1450,1453,1469,1481,2272],[1,2,3,4,9,10,11,12
,13,14,15,16,17,18,19,20,21,22,23,24,25,50,51,52,53,54,55,56,57,58,59,60,61,62
,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,82,87,89,90,91,92,94,95,100,
101,103,104,105,106,107,108,109,110,111,112,219,221,222,223,225,226,227,228,
229,230,231,232,233,239,240,244,245,246,247,249,250,251,252,253,257,258,263,
264,265,266,268,271,273,274,279,280,281,282,283,284,285,286,287,288,289,290,
291,292,293,294,295,296,297,298,299,332,333,334,335,336,337,339,340,665,668,
669,689,697,698,699,701,705,706,708,710,711,734,735,743,750,751,752,753,754,
756,759,763,764,765,766,767,776,777,785,787,790,792,793,794,795,1414,1415,1421
,1426,1431,1476,1477,1478,1490,1497,1498,2273],[1,2,3,4,9,10,11,12,13,14,15,16
,17,19,20,21,22,23,24,25,50,51,52,53,54,55,56,57,62,63,64,65,67,68,69,70,71,73
,74,75,76,77,79,80,81,82,87,88,89,90,91,92,93,100,101,103,104,105,106,107,108,
109,110,218,219,221,227,228,229,230,231,232,233,234,236,237,239,240,241,242,
243,244,245,246,247,248,249,257,258,260,261,262,263,264,265,266,267,268,269,
270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,
289,290,331,332,336,337,338,339,340,346,347,350,351,665,667,668,688,689,690,
694,695,696,697,698,699,700,701,702,703,704,734,737,740,741,742,743,755,756,
757,758,759,760,761,762,763,764,765,766,767,769,772,773,774,784,785,786,787,
788,799,800,801,802,803,804,805,806,809,810,811,812,1413,1414,1417,1431,1432,
1433,1456,1457,1458,1459,1460,1461,1467,1468,1492,2274],[1,2,3,4,10,11,12,13,
14,15,16,17,18,19,20,21,22,23,24,25,51,53,54,55,56,57,58,59,60,61,62,63,64,65,
67,68,69,70,71,74,76,77,79,80,81,82,87,88,89,90,91,92,93,94,95,100,101,103,104
,105,106,107,108,109,110,111,112,224,225,226,228,230,233,234,236,241,242,243,
244,245,248,250,251,252,253,257,260,261,263,264,265,266,267,268,270,271,273,
274,276,277,278,279,280,282,284,285,288,289,290,295,296,299,332,334,336,337,
339,340,346,347,350,351,670,694,696,707,708,709,711,734,740,741,752,755,756,
758,759,766,769,772,773,774,776,777,784,786,789,790,791,792,795,800,802,804,
806,1413,1422,1423,1468,1476,1491,1497,1499,1504,2275],[1,2,3,4,10,11,12,13,14
,15,16,17,19,21,22,23,24,25,51,55,57,62,63,64,65,67,68,69,70,82,89,90,91,100,
101,103,104,105,108,109,110,111,112,113,115,116,228,233,244,251,252,254,256,
257,264,265,266,273,274,332,334,336,339,340,341,352,356,357,719,725,726,734,
756,777,778,783,790,792,797,835,1471,1476,1480,2276],[1,2,3,4,10,11,12,13,14,
15,16,17,19,21,22,23,24,25,51,55,57,62,63,64,65,67,68,69,70,82,89,90,91,100,
101,102,103,104,105,108,109,110,111,112,113,114,117,228,233,238,244,251,252,
254,255,257,264,265,266,273,274,332,334,336,339,340,343,353,354,355,716,719,
724,734,756,777,779,780,790,792,796,836,1469,1476,1487,2277],[1,2,3,4,10,11,12
,13,14,15,16,17,18,19,21,23,24,25,51,55,57,58,59,60,62,63,64,65,66,67,68,69,70
,72,82,83,84,85,86,89,90,91,94,95,97,98,99,100,103,104,105,106,107,110,111,112
,113,114,115,116,223,228,233,235,240,243,249,251,257,264,265,266,273,274,293,
294,295,297,300,304,306,307,308,309,310,311,312,313,314,315,317,318,319,320,
321,322,323,324,325,328,329,334,336,337,341,342,345,348,349,352,356,357,674,
675,676,680,682,683,684,738,739,747,749,751,756,778,783,787,791,822,823,830,
834,835,839,845,1409,1471,1472,1496,1501,2278],[1,2,3,4,10,11,12,13,14,15,16,
17,19,21,23,24,25,49,51,55,57,62,63,64,65,66,67,68,69,70,78,82,85,86,89,90,91,
96,99,100,102,103,104,105,106,107,110,113,114,117,220,228,233,240,243,249,251,
257,259,264,265,266,273,274,300,301,302,303,304,305,316,326,327,328,329,330,
336,337,343,344,348,349,353,354,355,671,684,685,686,738,739,756,768,779,780,
787,791,824,825,829,836,840,846,1408,1469,1472,1495,1502,2279],[1,2,3,4,11,12,
13,14,15,16,17,18,19,20,21,22,23,24,25,53,54,56,58,59,60,61,63,64,66,67,68,69,
70,71,72,78,82,83,84,85,86,89,90,91,94,95,96,97,98,99,100,101,102,103,104,105,
106,107,108,109,110,111,112,113,114,115,116,117,223,226,230,235,241,245,248,
250,266,273,274,291,292,293,294,295,296,297,298,299,301,302,304,305,306,307,
308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,
327,328,329,330,335,336,337,340,342,343,344,345,346,349,350,352,353,354,355,
356,357,672,673,678,679,680,681,682,683,686,739,740,746,748,749,750,754,781,
782,786,793,821,826,827,828,829,830,831,833,835,836,839,840,845,846,1411,1470,
1473,1495,1496,1500,1503,2280],[1,2,3,4,9,10,11,12,13,14,15,16,17,18,19,20,21,
23,24,25,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,82,89,
90,91,94,95,100,103,104,105,106,107,110,111,112,221,222,223,225,226,228,229,
230,231,232,233,239,246,247,251,252,253,257,264,265,266,273,274,291,292,293,
294,295,296,297,298,299,333,334,335,336,337,668,669,718,722,727,730,731,732,
735,750,751,752,753,754,756,785,790,794,795,1415,1481,1486,1488,1490,2281],[1,
2,3,4,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,49,51,53,54,55,56,57,62,63,
64,65,66,67,68,69,70,71,74,76,77,78,80,81,82,85,86,87,88,89,90,91,92,93,96,99,
100,101,102,103,104,105,108,109,110,113,114,116,220,228,230,233,257,259,260,
261,264,265,266,267,270,271,273,274,276,277,278,280,282,285,288,289,290,300,
301,302,303,304,305,316,326,327,328,329,330,336,340,343,344,346,350,352,356,
357,358,361,362,363,671,684,685,686,740,755,756,758,766,768,769,772,773,774,
778,783,813,814,815,816,821,828,829,835,837,844,1408,1413,1435,1436,1437,1471,
1493,1503,2282],[1,2,3,4,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,51,53
,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,74,76,77,80,81,82,83,84
,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100,101,103,104,105,108,109,110,111
,112,113,114,115,117,223,228,230,233,235,257,260,261,264,265,266,267,270,271,
273,274,276,277,278,280,282,285,288,289,290,293,294,295,297,300,304,306,307,
308,309,310,311,312,313,314,315,317,318,319,320,321,322,323,324,325,328,329,
334,336,340,341,342,345,346,350,353,354,355,359,360,364,365,674,675,676,680,
682,683,684,740,747,749,751,755,756,758,766,769,772,773,774,779,780,817,818,
819,820,826,827,830,834,836,838,843,1409,1413,1438,1439,1444,1469,1494,1500,
2283],[1,2,3,4,11,12,13,14,15,16,17,18,19,20,21,24,25,53,54,56,58,59,60,61,63,
64,66,67,68,69,70,71,72,78,82,83,84,85,86,88,89,90,91,93,94,95,96,97,98,99,100
,102,103,104,105,111,112,113,114,115,116,117,223,226,230,235,260,266,267,273,
274,276,277,291,292,293,294,295,296,297,298,299,301,302,304,305,306,307,308,
309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,
328,329,330,335,336,342,343,344,345,348,352,353,354,355,356,357,358,359,360,
361,362,363,364,365,672,673,678,679,680,681,682,683,686,738,746,748,749,750,
754,755,770,771,781,782,813,814,815,816,817,818,819,820,822,823,824,825,829,
830,831,833,835,836,837,838,843,844,1411,1412,1440,1441,1442,1443,1470,1493,
1494,1501,1502,2284],[1,2,3,4,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,51,
53,54,55,56,57,62,63,64,65,67,68,69,70,71,74,76,77,80,81,82,87,88,89,90,91,92,
93,100,101,102,103,104,105,106,107,108,109,110,113,114,228,230,233,238,239,246
,254,255,257,260,261,264,265,266,267,270,271,273,274,276,277,278,280,282,285,
288,289,290,336,337,340,343,346,350,716,718,719,722,724,740,755,756,758,766,
769,772,773,774,785,796,1413,1462,1463,1487,1488,2285],[1,2,3,4,10,11,12,13,14
,15,16,17,19,20,21,22,23,24,25,51,53,54,55,56,57,62,63,64,65,67,68,69,70,71,74
,76,77,80,81,82,87,88,89,90,91,92,93,100,101,103,104,105,108,109,110,111,112,
113,115,228,230,233,252,254,256,257,260,261,264,265,266,267,270,271,273,274,
276,277,278,280,282,285,288,289,290,334,336,340,341,346,350,719,725,726,727,
730,740,755,756,758,766,769,772,773,774,790,797,1413,1464,1465,1480,1481,2286]
,[1,2,3,4,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,50,51,52,53,54,55,
56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,74,75,76,77,80,81,82,87,88,89,90,
91,92,93,94,95,100,101,103,104,105,106,107,108,109,110,111,112,221,222,223,225
,226,228,229,230,231,232,233,237,240,241,243,244,245,247,248,249,250,251,253,
257,260,261,262,264,265,266,267,269,270,271,272,273,274,275,276,277,278,280,
282,285,286,288,289,290,291,292,293,294,295,296,297,298,299,333,334,335,336,
337,340,346,348,349,350,668,669,690,700,702,703,704,709,710,711,735,738,739,
740,750,751,752,753,754,755,756,758,760,766,769,770,771,772,773,774,777,786,
787,788,791,793,795,807,808,1412,1413,1415,1425,1433,1466,1472,1473,1474,1498,
1499,2287],[1,2,3,4,9,10,11,12,13,14,15,16,17,18,19,20,21,24,25,50,51,52,53,54
,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,82,89,90,91,94,95,100,103,104
,105,111,112,116,117,221,222,223,225,226,228,229,230,231,232,233,257,264,265,
266,273,274,291,292,293,294,295,296,297,298,299,333,334,335,336,352,353,354,
355,356,357,668,669,735,750,751,752,753,754,756,778,779,780,781,782,783,835,
836,841,842,1415,1469,1470,1471,1506,2288],[1,2,3,4,9,10,11,12,13,14,15,16,17,
18,19,20,21,22,23,24,25,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,
69,70,71,73,74,75,76,77,79,80,81,87,90,91,92,94,95,100,101,103,104,105,106,107
,108,109,110,111,112,222,223,225,226,228,229,230,232,233,236,237,239,240,241,
242,243,244,245,246,247,248,249,250,251,253,258,261,262,263,264,266,268,269,
270,271,272,275,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,
293,294,295,297,298,331,332,334,336,337,338,339,340,346,347,349,350,351,669,
700,701,708,709,710,711,734,737,739,740,741,750,751,758,759,760,766,767,775,
776,777,784,785,786,787,788,789,791,792,793,794,795,799,800,801,802,803,804,
805,806,809,810,811,812,1418,1425,1426,1445,1467,1468,1473,1475,1477,1479,1491
,1492,1498,1504,1505,2289],[1,2,3,4,9,10,11,12,13,14,15,16,17,19,20,21,22,23,
24,25,50,51,52,53,54,55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,
81,87,88,89,92,93,94,95,100,101,103,104,105,106,107,108,109,110,111,112,218,
221,228,229,230,231,232,233,234,237,239,240,241,242,243,244,246,247,248,249,
250,251,252,253,258,260,261,262,263,265,267,268,269,270,271,272,275,276,277,
278,279,280,281,282,283,284,285,286,287,288,289,290,295,296,299,331,333,334,
335,336,337,338,340,347,349,351,667,668,690,695,702,703,704,707,710,735,737,
739,741,742,752,755,757,758,759,760,761,762,766,767,775,776,777,785,786,787,
788,789,790,791,792,794,795,799,801,803,805,807,808,1417,1419,1424,1433,1466,
1467,1475,1478,1479,1490,1497,1499,1504,1505,2290],[1,2,3,4,9,11,12,13,14,15,
16,17,18,21,22,23,24,25,50,52,54,55,60,64,67,78,82,83,84,85,86,89,90,91,94,95,
96,97,98,99,100,101,102,103,104,105,108,109,110,111,112,113,114,115,116,117,
222,229,237,243,244,247,274,296,297,298,301,306,311,316,317,318,319,320,321,
322,323,324,325,326,327,328,329,330,333,334,335,336,340,341,342,343,344,345,
346,348,350,352,353,354,355,356,357,733,735,736,738,740,744,753,777,788,821,
822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,841,842,1434,1474,
1500,1501,1502,1503,1506,2291],[1,2,3,4,9,11,12,13,14,15,16,17,18,19,20,21,23,
24,25,50,52,53,54,55,56,60,63,64,67,71,75,78,81,82,83,84,85,86,87,88,89,90,91,
92,93,94,95,96,97,98,99,100,102,103,104,105,106,107,110,111,112,113,114,115,
116,117,222,229,230,253,260,262,267,269,271,272,274,275,276,277,286,296,297,
298,301,306,311,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,
333,334,335,336,337,341,342,343,344,345,349,352,353,354,355,356,357,358,359,
360,361,362,363,364,365,733,735,736,739,744,753,755,760,795,807,808,813,814,
815,816,817,818,819,820,829,830,831,832,833,834,835,836,837,838,839,840,841,
842,843,844,845,846,1434,1466,1493,1494,1495,1496,1506,1507,1508,1509,1510,
2292],[1,2,23,26,48,130,214,416,649,847,1511,2293],[1,2,4,5,6,9,11,12,13,40,50
,57,118,139,141,144,153,218,500,857,1039,1058,2294],[1,2,4,5,6,8,9,10,12,13,19
,20,40,44,50,65,71,121,139,140,143,145,147,155,156,221,500,505,865,866,1040,
1041,1060,2295],[1,2,4,6,7,10,13,14,19,44,63,65,124,140,146,150,159,227,505,
869,1048,1062,2296],[1,2,4,6,7,9,10,12,13,19,20,44,50,65,71,124,140,141,142,
146,151,156,159,221,505,507,861,869,1040,1046,1063,2297],[1,2,4,5,7,8,9,10,12,
13,19,20,40,43,50,65,71,125,139,142,143,146,151,154,155,221,500,506,860,871,
1041,1044,1063,2298],[1,2,4,6,7,8,9,10,12,13,19,20,43,44,50,65,71,126,141,142,
143,145,146,147,151,154,159,221,506,507,863,870,1044,1046,1060,1063,2299],[1,2
,4,5,6,8,9,11,12,13,40,44,50,57,121,139,141,145,148,153,156,218,500,507,866,
867,1039,1045,1059,2300],[1,2,4,6,8,9,11,12,13,44,50,57,120,141,144,145,148,
156,218,507,868,1045,1058,1059,2301],[1,2,3,4,5,6,8,9,11,15,16,18,21,41,44,52,
60,67,121,139,144,145,148,152,156,157,222,502,510,866,873,1042,1043,1064,2302]
,[1,3,4,7,8,11,14,17,18,21,47,61,69,127,148,149,150,152,167,224,518,875,1056,
1061,1065,2303],[1,2,4,5,6,9,12,13,22,23,28,29,32,35,40,44,50,107,108,118,153,
156,173,174,188,189,331,366,369,405,528,551,848,849,911,918,919,1552,1606,1607
,2304],[1,2,4,5,6,10,13,19,22,23,28,29,32,35,40,44,65,108,110,118,155,159,173,
180,189,195,339,366,369,405,556,561,848,849,915,918,924,1554,1607,1609,2305],[
1,2,3,4,8,9,15,16,24,25,34,37,43,52,105,111,119,154,191,193,333,368,371,406,
558,850,851,912,917,920,1551,1610,1611,2306],[1,2,4,5,6,9,11,12,13,40,41,44,50
,57,118,139,141,153,156,157,160,162,218,405,500,507,522,524,857,911,1039,1045,
1067,1642,2307],[1,2,4,5,6,8,9,10,12,13,19,20,40,41,43,44,50,65,71,121,140,143
,153,154,155,156,158,160,161,162,221,408,505,506,522,523,525,865,914,1040,1044
,1068,1643,2308],[1,2,4,5,6,9,10,12,13,19,20,40,41,44,50,65,71,118,139,141,153
,155,158,159,160,161,162,221,405,500,507,522,523,525,857,915,1041,1046,1068,
1642,2309],[1,2,4,5,6,8,10,13,19,40,41,42,43,44,46,51,65,121,140,143,155,158,
160,163,164,219,408,409,501,505,506,508,521,523,865,916,1050,1052,1066,1643,
1644,2310],[1,2,4,5,6,9,10,12,13,22,28,29,32,40,50,51,73,74,101,118,139,141,
153,155,168,173,174,199,206,258,366,381,445,447,474,479,500,528,536,569,586,
597,857,876,1069,1156,1512,1562,1584,2311],[1,2,4,5,6,8,9,10,12,13,22,28,29,31
,32,34,40,42,50,51,73,74,101,121,140,143,153,155,168,172,173,174,199,206,258,
367,384,386,446,448,454,474,479,501,528,536,569,586,597,865,883,1070,1156,1513
,1564,1586,2312],[1,2,3,4,5,6,9,10,15,16,19,22,23,28,29,30,32,40,41,52,62,73,
75,79,80,109,118,139,141,153,158,168,169,170,175,179,199,205,283,366,383,445,
447,449,474,475,502,529,537,570,583,598,857,880,1071,1145,1512,1563,1585,2313]
,[1,2,3,4,5,6,9,10,15,16,19,22,23,28,30,32,35,40,41,52,62,73,75,79,80,109,118,
139,141,153,155,170,175,179,180,201,206,283,369,381,383,445,449,457,476,484,
502,529,538,569,584,600,857,881,1071,1146,1515,1562,1585,2314],[1,2,4,5,6,9,12
,13,14,19,23,28,32,35,40,41,50,63,75,81,110,118,139,141,153,158,171,173,174,
179,180,201,205,286,369,381,383,449,457,477,484,500,528,541,570,585,599,857,
881,1072,1151,1515,1563,1584,2315],[1,2,3,4,5,6,8,9,10,15,16,19,22,23,29,30,32
,33,37,40,45,52,62,73,75,79,80,109,121,140,143,153,155,170,175,180,185,201,206
,283,372,386,391,446,453,458,476,484,504,529,538,569,584,600,865,887,1073,1146
,1516,1564,1587,2316],[1,2,3,4,5,6,8,10,12,14,15,17,19,22,23,30,31,32,34,35,40
,41,45,54,62,74,76,77,81,109,121,140,143,155,162,170,171,174,176,180,186,199,
205,290,367,390,391,448,452,454,479,483,504,531,538,571,583,599,865,886,1074,
1149,1513,1565,1587,2317],[1,2,3,4,5,6,8,10,12,13,15,16,17,23,28,30,32,33,35,
37,40,41,42,51,55,77,79,110,121,140,143,155,162,168,169,173,175,176,187,201,
205,284,372,384,390,452,453,458,476,482,501,533,536,571,585,598,865,888,1075,
1148,1516,1565,1586,2318],[1,2,3,4,5,6,8,10,12,13,15,16,17,19,22,23,28,30,31,
32,33,37,40,41,44,55,65,74,79,80,81,108,121,140,143,155,162,169,173,175,176,
180,184,201,206,287,372,387,388,448,453,458,476,478,505,533,556,576,593,600,
865,885,1076,1152,1516,1571,1593,2319],[1,2,3,4,5,6,8,10,12,14,15,17,19,22,23,
30,31,32,35,38,40,41,45,54,62,74,76,77,81,109,121,140,143,155,162,170,171,174,
176,180,186,201,206,290,379,388,391,448,452,464,478,485,504,531,538,576,584,
607,865,889,1074,1154,1518,1571,1587,2320],[1,2,4,5,6,8,10,12,13,19,20,23,28,
32,35,38,40,41,44,65,71,77,81,110,121,140,143,155,162,173,174,179,180,190,195,
201,205,288,379,387,390,452,464,478,485,505,556,560,571,585,599,865,903,1077,
1153,1518,1565,1593,2321],[1,2,3,4,5,6,8,9,10,15,16,19,22,23,28,31,32,33,34,41
,44,52,62,73,75,79,80,109,121,139,145,156,159,177,179,182,184,200,208,283,367,
387,388,445,449,455,480,486,502,547,552,574,590,602,866,891,1071,1161,1514,
1566,1588,2322],[1,2,3,4,5,6,8,9,15,16,17,19,20,23,31,32,33,35,38,41,42,44,52,
56,75,92,106,121,139,145,156,163,178,182,184,187,190,195,204,209,275,379,384,
388,449,471,488,497,502,550,552,575,591,603,866,892,1089,1166,1526,1567,1588,
2323],[1,2,3,4,6,8,9,15,16,17,19,20,23,31,33,34,35,38,42,44,46,52,56,75,92,106
,120,141,145,156,163,178,182,184,187,195,197,204,209,275,378,385,389,455,457,
471,488,497,511,550,552,575,591,603,868,893,1087,1166,1528,1568,1589,2324],[1,
2,3,4,6,7,9,10,15,16,19,22,23,29,31,33,36,44,45,52,62,73,75,79,80,109,124,140,
146,156,159,177,182,184,185,200,208,283,370,393,394,446,453,461,480,486,504,
547,552,574,590,602,869,897,1073,1161,1517,1569,1590,2325],[1,2,3,4,6,7,10,13,
16,19,21,23,29,33,35,36,44,45,65,68,79,92,107,124,140,146,159,166,182,183,185,
189,195,200,209,268,370,393,394,453,461,486,487,505,554,561,582,592,603,869,
897,1085,1163,1517,1581,1595,2326],[1,2,3,4,6,7,10,12,15,16,17,19,21,23,31,33,
35,39,44,45,62,70,77,79,87,92,106,124,140,146,159,166,177,183,184,186,188,204,
209,279,375,394,452,453,470,489,498,504,547,555,582,591,604,869,898,1086,1162,
1529,1581,1590,2327],[1,2,3,4,6,7,8,10,12,15,16,17,19,21,23,31,33,35,36,38,39,
44,45,47,62,70,77,79,87,92,106,126,143,146,159,166,177,183,184,186,188,198,204
,209,279,377,397,398,461,464,470,489,498,514,547,555,582,591,604,870,901,1113,
1162,1530,1582,1591,2328],[1,2,4,5,6,8,9,12,13,19,20,23,29,31,32,34,35,40,42,
44,50,71,75,87,107,121,139,145,156,163,172,174,177,178,188,189,200,209,262,367
,384,386,449,455,480,481,500,551,562,575,592,604,866,883,1083,1160,1514,1567,
1592,2329],[1,2,4,5,6,9,10,12,13,19,22,23,28,32,35,40,50,65,73,75,76,77,108,
118,139,141,153,155,173,174,180,201,206,281,369,381,445,449,457,484,485,500,
528,556,569,593,607,857,884,1078,1168,1515,1562,1584,2330],[1,2,4,5,6,8,10,12,
13,19,20,22,28,31,32,34,40,41,44,65,71,74,76,101,121,140,143,155,162,173,174,
177,179,180,190,199,206,282,367,387,388,448,454,479,483,505,556,560,576,586,
607,865,891,1081,1167,1513,1571,1593,2331],[1,2,4,5,6,8,9,10,12,13,19,22,23,28
,29,32,35,38,40,44,50,65,73,75,76,77,108,121,140,143,153,155,173,174,180,189,
201,206,281,379,386,387,446,452,464,484,485,505,528,556,569,593,607,865,906,
1080,1168,1518,1564,1593,2332],[1,2,4,5,6,8,10,12,13,19,20,22,23,28,31,32,35,
38,40,41,42,51,71,74,77,108,121,140,143,155,162,168,173,174,178,179,190,201,
206,280,379,384,388,448,452,464,482,485,501,536,560,576,593,597,865,892,1082,
1169,1518,1571,1586,2333],[1,2,3,4,5,6,9,15,16,17,19,20,23,30,32,35,40,41,52,
56,75,92,106,118,139,141,153,158,170,175,176,180,190,201,205,275,369,383,449,
457,484,491,502,529,535,570,589,605,857,895,1089,1175,1515,1563,1585,2334],[1,
2,3,4,5,6,8,11,13,14,15,21,24,25,28,29,30,32,35,38,40,41,44,64,67,82,89,90,91,
105,121,144,148,157,160,169,170,171,173,181,189,202,207,274,379,386,387,450,
460,472,490,492,510,539,543,577,587,606,873,906,1090,1180,1533,1579,1603,2335]
,[1,2,3,4,5,6,8,10,12,15,16,17,19,21,23,30,32,33,35,37,40,41,45,62,70,77,79,87
,92,106,121,140,143,155,162,170,175,176,180,181,183,201,205,279,372,390,391,
452,453,458,476,494,504,538,546,571,589,605,865,905,1086,1178,1516,1565,1587,
2336],[1,4,5,7,8,14,20,24,25,32,34,38,39,41,46,53,88,93,104,125,147,151,161,
171,190,197,202,207,276,376,401,402,456,468,473,493,512,530,579,588,608,874,
910,1088,1177,1534,1576,1600,2337],[1,2,3,4,5,7,8,9,15,16,17,19,20,23,32,34,37
,38,39,41,43,46,52,56,75,92,106,125,139,142,154,164,190,191,192,193,194,197,
203,210,275,376,401,402,449,467,496,499,502,558,564,580,596,610,860,910,1089,
1182,1519,1572,1599,2338],[1,2,3,4,5,7,8,9,15,16,17,19,20,23,30,32,34,38,39,40
,41,46,52,56,75,92,106,125,142,145,153,158,170,175,176,180,190,197,201,205,275
,376,401,402,455,467,471,484,491,511,529,535,570,589,605,862,910,1087,1175,
1523,1575,1596,2339],[1,2,3,4,8,9,15,16,17,19,20,23,34,37,38,43,46,52,56,75,92
,106,123,145,154,164,191,192,193,194,197,203,210,275,373,400,455,471,496,499,
511,558,564,580,596,610,858,908,1087,1182,1520,1574,1597,2340],[1,2,3,4,8,9,15
,16,17,19,20,23,34,37,38,43,46,52,56,75,92,106,122,145,154,164,191,192,193,194
,197,203,210,275,374,399,455,471,496,499,511,558,564,580,596,610,859,909,1087,
1182,1521,1573,1598,2341],[1,3,4,5,6,8,11,14,17,21,24,25,30,31,32,35,38,41,45,
66,69,78,86,89,90,114,121,144,148,157,171,176,181,186,202,207,305,379,388,391,
451,460,472,492,495,509,542,545,573,594,606,873,889,1091,1159,1533,1580,1604,
2342],[1,2,3,4,5,6,8,11,13,16,21,24,25,29,30,33,37,40,41,45,66,68,82,85,86,91,
114,121,144,148,157,160,175,181,185,202,207,304,372,386,391,450,459,469,490,
495,509,542,544,577,594,601,873,887,1092,1158,1532,1579,1604,2343],[1,2,3,4,5,
6,8,11,15,21,24,25,28,30,31,33,37,41,44,67,78,85,86,105,121,144,148,157,169,
181,184,202,207,301,372,387,388,451,459,469,495,510,543,573,587,601,873,885,
1093,1157,1532,1580,1603,2344],[1,2,4,5,6,8,9,10,12,13,19,22,23,28,29,32,35,38
,40,44,50,65,73,75,76,77,108,121,139,145,156,159,173,188,189,195,204,208,281,
379,386,387,445,449,471,497,498,500,551,561,574,595,609,866,906,1078,1181,1526
,1566,1592,2345],[1,2,4,5,6,8,9,10,12,13,19,22,23,28,29,32,35,38,40,44,50,65,
73,75,76,77,108,121,141,145,153,155,173,174,180,189,201,206,281,379,386,387,
447,457,471,484,485,507,528,556,569,593,607,867,906,1098,1168,1527,1577,1602,
2346],[1,2,4,6,7,9,10,12,13,19,22,23,29,35,39,44,50,65,73,75,76,77,108,124,140
,146,156,159,188,189,195,204,208,281,375,393,446,452,470,497,498,505,551,561,
574,595,609,869,904,1080,1181,1529,1569,1595,2347],[1,2,4,5,7,8,10,12,13,19,20
,22,23,28,32,34,38,39,40,41,46,51,71,74,77,108,125,143,146,155,162,168,173,174
,179,190,197,201,206,280,376,401,402,454,464,470,482,485,508,536,560,576,593,
597,871,910,1111,1169,1531,1570,1594,2348],[1,2,4,6,7,9,10,12,13,19,22,23,29,
35,39,44,50,65,73,75,76,77,108,124,141,142,156,159,188,189,195,204,208,281,375
,393,447,457,467,497,498,507,551,561,574,595,609,861,904,1098,1181,1522,1578,
1601,2349],[1,2,4,5,6,8,9,11,12,13,40,41,50,57,121,141,144,145,148,153,157,160
,162,218,522,524,867,873,1058,1059,1067,2350],[1,2,4,5,7,8,9,10,12,13,19,20,40
,41,50,65,71,125,142,143,145,146,147,151,153,155,158,160,161,162,221,522,523,
525,862,871,874,1060,1063,1068,2351],[1,2,4,5,6,10,13,19,28,29,32,35,40,41,44,
51,65,118,155,159,160,168,173,179,180,189,195,219,366,369,381,383,405,521,536,
556,557,561,876,880,881,884,915,918,924,930,945,1125,1554,1617,1628,1629,1672,
2352],[1,2,3,4,5,6,10,12,13,15,16,17,19,20,28,29,31,32,33,35,40,42,44,45,55,56
,62,65,71,118,155,159,163,165,172,173,177,178,180,184,185,186,187,189,195,231,
366,369,380,382,405,527,547,548,549,550,556,561,562,877,878,879,882,915,918,
924,929,939,1135,1554,1618,1630,1631,1674,2353],[1,2,4,5,6,9,10,12,13,19,20,28
,29,32,35,40,41,44,50,65,71,118,153,156,160,162,168,173,174,179,180,188,189,
190,221,366,369,381,383,405,522,528,551,557,559,560,876,880,881,895,911,918,
919,942,945,1126,1552,1626,1627,1628,1669,2354],[1,2,3,4,5,6,9,12,13,15,16,17,
21,28,29,31,32,33,35,40,42,44,45,50,52,55,68,70,118,153,156,165,166,172,173,
174,182,183,184,185,186,187,188,189,232,366,369,380,382,405,526,528,549,551,
552,553,554,555,877,878,879,894,911,918,919,939,943,1134,1552,1630,1632,1633,
1668,2355],[1,2,3,4,5,6,8,9,12,13,15,16,17,21,29,30,31,32,33,34,35,37,40,41,42
,43,44,45,50,52,55,68,70,121,153,154,156,160,162,165,166,170,172,174,175,176,
181,182,183,184,185,186,187,188,189,191,193,232,367,372,384,386,390,391,408,
522,526,529,532,544,546,549,551,552,553,554,555,558,883,886,887,888,905,914,
921,922,933,938,940,944,1127,1134,1553,1620,1636,1637,1638,1670,1673,2356],[1,
2,3,4,5,6,8,10,12,13,15,16,17,19,20,28,29,30,31,32,33,34,35,37,38,40,41,42,43,
44,45,46,55,56,62,65,71,121,158,159,160,161,162,163,164,165,168,169,170,172,
173,174,175,176,177,178,179,180,184,185,186,187,189,190,191,192,194,195,197,
231,367,372,379,384,386,387,388,390,391,408,409,525,527,532,533,534,535,537,
547,548,549,550,557,560,561,562,564,883,885,886,887,888,889,891,892,903,906,
916,922,923,926,927,931,933,935,936,937,938,946,947,1133,1135,1555,1619,1620,
1621,1622,1624,1625,1634,1639,1675,1676,2357],[1,2,4,5,6,13,22,23,28,29,32,35,
40,44,101,107,108,118,173,189,199,200,206,209,347,366,369,405,586,592,848,849,
918,954,955,1607,1613,1614,2358],[1,2,3,4,8,15,23,24,25,34,37,43,105,106,119,
191,203,210,349,368,371,406,596,850,851,917,956,1610,1616,2359],[1,2,4,5,6,10,
13,23,28,29,32,35,40,44,51,107,118,155,168,173,189,200,209,239,366,369,381,405
,536,592,849,876,884,918,930,954,1606,1614,1617,2360],[1,2,4,5,6,12,13,19,20,
22,23,28,29,31,32,35,40,42,44,71,101,107,118,163,172,173,177,178,189,199,206,
241,366,369,380,405,562,586,849,877,882,918,929,955,1606,1613,1618,2361],[1,2,
3,4,5,6,12,13,15,16,17,22,25,28,29,31,32,33,35,40,42,44,45,55,101,103,118,165,
172,173,184,185,186,187,189,199,206,244,366,369,380,382,405,549,586,852,877,
878,879,918,939,955,1608,1613,1630,2362],[1,2,3,4,5,6,13,16,21,22,23,28,29,32,
33,35,40,44,45,68,101,110,118,166,173,182,183,185,189,199,206,245,366,369,382,
405,554,586,849,878,894,918,943,955,1609,1613,1632,2363],[1,2,4,5,6,10,13,19,
23,25,28,29,32,35,40,41,44,65,103,107,118,160,168,173,179,180,189,200,209,249,
366,369,381,383,405,557,592,852,876,880,881,918,945,954,1608,1614,1628,2364],[
1,2,4,5,6,12,13,19,20,23,28,29,32,35,40,41,44,71,107,110,118,162,173,174,179,
189,190,200,209,248,366,369,383,405,560,592,849,880,895,918,942,954,1609,1614,
1626,2365],[1,2,3,4,8,15,17,19,20,23,25,34,37,38,43,46,56,106,111,119,164,191,
192,194,197,203,210,253,368,371,403,406,564,596,851,902,907,917,948,956,1611,
1616,1635,2366],[1,2,3,4,8,15,24,25,34,37,43,96,99,105,119,191,344,368,371,406
,850,851,917,1556,1559,1610,2367],[1,2,3,4,8,15,24,25,34,37,43,97,98,99,105,
111,119,191,345,368,371,406,850,851,917,1557,1558,1559,1610,1611,2368],[1,2,4,
5,6,9,12,13,19,20,23,28,29,31,32,35,40,42,44,50,71,75,87,107,118,153,156,163,
172,173,174,177,178,188,189,200,209,262,366,369,380,405,480,481,528,551,562,
575,592,604,877,882,911,918,919,929,954,1160,1552,1614,1618,1653,1659,2369],[1
,2,4,5,6,9,10,12,13,22,28,29,32,35,40,44,50,51,73,74,101,118,153,155,156,168,
173,174,188,189,199,206,258,366,369,381,405,474,479,528,536,551,569,586,597,
876,884,911,918,919,930,955,1156,1552,1613,1617,1648,1658,2370],[1,2,3,4,5,6,8
,9,10,15,16,19,22,23,28,30,31,32,33,34,37,40,41,43,44,52,62,73,75,79,80,109,
121,153,154,156,158,159,168,169,170,175,177,179,182,184,191,193,199,200,205,
208,283,367,372,387,388,408,474,475,480,486,529,537,547,552,558,570,574,583,
590,598,602,885,891,914,921,922,931,937,951,953,1145,1161,1553,1615,1619,1649,
1650,1660,1664,2371],[1,2,3,4,5,6,8,12,15,16,17,19,20,21,22,23,30,31,32,33,34,
35,37,38,40,41,42,43,44,45,46,56,70,76,80,87,92,109,121,158,162,163,164,166,
170,175,176,178,180,181,183,184,186,187,188,190,191,192,194,195,197,199,200,
205,208,278,367,372,379,390,391,408,409,475,481,483,487,535,546,550,555,564,
578,581,583,590,605,609,886,905,916,922,923,926,927,940,944,951,953,1164,1170,
1555,1615,1638,1651,1656,1662,1663,2372],[1,2,4,5,6,10,12,13,19,20,22,28,29,32
,35,40,41,44,65,71,74,76,101,118,155,159,162,173,174,179,180,189,190,195,199,
206,282,366,369,383,405,479,483,556,560,561,576,586,607,880,895,915,918,924,
942,955,1167,1554,1613,1626,1654,1665,2373],[1,2,3,4,5,6,10,13,16,19,21,23,28,
29,32,33,35,40,44,45,65,68,79,92,107,118,155,159,166,173,180,182,183,185,189,
195,200,209,268,366,369,382,405,486,487,554,556,561,582,592,603,878,894,915,
918,924,943,954,1163,1554,1614,1632,1655,1666,2374],[1,2,3,4,8,9,15,16,17,19,
20,23,34,37,38,43,46,52,56,75,92,106,119,154,164,191,192,193,194,197,203,210,
275,368,371,403,406,496,499,558,564,580,596,610,902,907,912,917,920,948,956,
1182,1551,1616,1635,1657,1667,2375],[1,2,4,5,6,10,12,13,19,20,22,23,28,29,31,
32,35,40,42,44,51,71,74,77,108,118,155,163,168,172,173,177,178,189,280,366,369
,380,381,405,536,562,848,849,876,877,882,884,918,929,930,1535,1539,1607,1617,
1618,2376],[1,2,3,4,5,6,10,13,16,19,21,23,28,29,32,33,35,40,41,44,45,65,68,79,
92,107,118,160,166,168,173,179,180,182,183,185,189,268,366,369,381,382,383,405
,554,557,849,876,878,880,881,894,918,943,945,1538,1540,1606,1628,1632,2377],[1
,2,4,5,6,12,13,19,20,25,28,29,31,32,35,40,41,42,44,71,93,103,118,162,163,172,
173,174,177,178,179,189,190,267,366,369,380,383,405,560,562,852,877,880,882,
895,918,929,942,1542,1608,1618,1626,2378],[1,2,3,4,5,6,10,13,16,21,25,28,29,32
,33,35,40,44,45,51,68,91,103,118,155,166,168,173,182,183,185,189,264,366,369,
381,382,405,536,554,852,876,878,884,894,918,930,943,1541,1608,1617,1632,2379],
[1,2,3,4,5,6,12,13,16,19,20,21,22,23,28,29,32,33,35,40,41,44,45,68,71,80,92,
108,118,162,166,173,174,179,182,183,185,189,190,270,366,369,382,383,405,554,
560,848,849,878,880,894,895,918,942,943,1536,1540,1607,1626,1632,2380],[1,2,3,
4,5,6,12,13,15,16,17,19,20,23,28,29,31,32,33,35,40,41,42,44,45,55,71,81,92,107
,118,162,165,172,173,174,179,184,185,186,187,189,190,272,366,369,380,382,383,
405,549,560,849,877,878,879,880,895,918,939,942,1537,1540,1606,1626,1630,2381]
,[1,2,3,4,5,6,10,12,13,15,16,17,23,28,29,31,32,33,35,40,42,44,45,51,55,77,79,
110,118,155,165,168,172,173,184,185,186,187,189,284,366,369,380,381,382,405,
536,549,849,876,877,878,879,884,918,930,939,1538,1539,1609,1617,1630,2382],[1,
2,4,5,6,10,12,13,19,20,23,28,29,31,32,35,40,41,42,44,65,71,77,81,110,118,160,
163,168,172,173,177,178,179,180,189,288,366,369,380,381,383,405,557,562,849,
876,877,880,881,882,918,929,945,1537,1539,1609,1618,1628,2383],[1,2,3,4,5,6,10
,12,13,15,16,17,19,22,23,28,29,31,32,33,35,40,41,42,44,45,55,65,74,79,80,81,
108,118,160,165,168,172,173,179,180,184,185,186,187,189,287,366,369,380,381,
382,383,405,549,557,848,849,876,877,878,879,880,881,918,939,945,1535,1536,1537
,1538,1607,1628,1630,2384],[1,2,3,4,8,15,17,19,20,24,25,34,37,38,43,46,56,88,
93,105,119,164,191,192,194,197,277,368,371,403,406,564,850,851,902,907,917,948
,1543,1544,1610,1635,2385],[1,2,3,4,6,7,13,16,18,21,25,29,33,35,36,39,44,45,47
,68,72,83,84,91,115,124,166,167,182,183,185,189,196,198,310,370,375,393,394,
395,396,410,554,563,855,856,896,897,898,899,900,904,928,949,950,1545,1546,1549
,1550,1612,1640,1641,2386],[1,2,4,5,6,9,10,12,13,22,28,40,41,44,50,51,73,74,
101,118,139,141,153,155,160,162,168,206,258,381,405,445,500,507,521,522,569,
576,619,857,930,1069,1225,1562,1642,2387],[1,2,4,5,6,8,10,11,12,13,19,23,35,40
,41,43,44,57,65,77,87,107,121,140,143,155,157,158,160,162,188,205,263,390,408,
452,505,506,523,524,571,578,620,865,944,1079,1219,1565,1643,2388],[1,2,4,5,6,9
,12,13,19,20,23,32,40,41,44,50,71,75,87,107,118,139,141,153,158,160,161,162,
174,205,262,383,405,449,500,507,522,525,570,578,620,857,942,1083,1221,1563,
1642,2389],[1,2,4,5,6,8,9,10,12,13,19,22,23,29,35,40,41,43,44,50,65,73,75,76,
77,108,121,140,143,153,155,158,160,162,189,205,206,281,386,390,408,446,452,505
,506,522,523,569,570,571,572,621,865,938,1080,1223,1564,1565,1643,2390],[1,2,4
,5,6,8,10,12,13,19,20,22,31,40,41,43,44,65,71,74,76,101,121,140,143,155,158,
160,161,162,177,206,282,388,408,448,505,506,523,525,572,576,619,865,931,1081,
1222,1571,1643,2391],[1,2,4,5,6,8,10,12,13,19,20,22,23,31,35,40,41,42,46,51,71
,74,77,108,121,140,143,155,158,160,161,162,178,205,206,280,388,390,409,448,452
,501,508,521,525,571,576,621,865,936,1082,1224,1565,1571,1644,2392],[1,2,4,5,6
,9,10,12,13,19,22,23,28,32,40,41,44,50,65,73,75,76,77,108,118,139,141,153,155,
158,160,162,173,205,206,281,381,383,405,445,449,500,507,522,523,569,570,571,
572,621,857,945,1078,1223,1562,1563,1642,2393],[1,2,4,5,6,8,9,10,12,13,22,29,
31,40,41,42,46,50,51,73,74,101,121,140,143,153,155,160,162,172,206,258,386,388
,409,446,448,501,508,521,522,569,576,619,865,946,1070,1225,1564,1571,1644,2394
],[1,2,3,4,5,6,8,9,10,15,16,19,22,23,28,32,41,42,44,45,46,52,62,73,75,79,80,
109,121,139,145,156,159,163,165,166,179,208,209,283,384,387,409,445,449,502,
511,526,527,574,575,581,582,623,866,947,1071,1227,1566,1567,1646,2395],[1,2,3,
4,6,7,9,10,15,16,19,22,23,29,33,42,44,45,47,52,62,73,75,79,80,109,124,140,146,
156,159,163,165,166,185,208,209,283,393,394,410,446,453,504,514,526,527,574,
575,581,582,623,869,949,1073,1227,1569,1581,1645,2396],[1,2,4,5,6,8,11,12,13,
24,29,31,40,41,42,46,49,57,78,82,102,121,144,148,157,160,162,172,207,259,386,
388,409,450,451,503,513,520,524,573,577,622,873,946,1084,1226,1579,1580,1647,
2397],[1,2,4,5,6,9,12,13,22,24,40,41,44,50,100,101,118,139,141,153,160,162,199
,206,207,237,405,500,507,522,618,619,857,955,1115,1232,1642,2398],[1,2,4,5,6,8
,10,13,19,23,24,40,41,43,44,65,100,107,121,140,143,155,158,160,200,205,207,240
,408,505,506,523,618,620,865,951,1116,1229,1643,2399],[1,2,4,5,6,9,12,13,22,23
,40,41,44,50,107,108,118,139,141,153,160,162,199,201,206,331,405,500,507,522,
613,616,857,955,1139,1183,1642,2400],[1,2,4,5,6,8,10,13,19,22,23,40,41,43,44,
65,108,110,121,140,143,155,158,160,199,201,208,339,408,505,506,523,613,615,865
,953,1144,1184,1643,2401],[1,2,3,4,5,6,8,10,13,16,19,21,23,30,33,37,40,41,43,
44,65,68,79,92,107,121,140,143,155,158,160,175,181,182,193,201,268,372,408,453
,458,476,491,505,506,523,544,616,865,921,1085,1105,1199,1516,1643,2402],[1,2,4
,5,6,9,12,13,14,19,23,32,35,40,41,44,50,63,75,81,110,118,139,141,153,160,162,
171,180,195,201,286,369,405,449,457,478,484,500,507,522,540,615,857,924,1072,
1103,1213,1515,1642,2403],[1,2,3,4,5,6,8,10,12,13,15,16,17,19,22,23,30,31,32,
33,34,37,40,41,43,44,55,65,74,79,80,81,108,121,140,143,155,158,160,170,174,175
,176,184,191,199,201,287,367,372,408,448,453,454,458,475,476,477,479,505,506,
523,532,613,865,922,1076,1095,1212,1513,1516,1643,2404],[1,2,4,5,6,8,10,12,13,
19,20,23,32,35,38,40,41,43,44,65,71,77,81,110,121,140,143,155,158,160,174,180,
190,194,195,201,288,379,408,452,464,477,485,505,506,523,559,615,865,926,1077,
1096,1210,1518,1643,2405],[1,2,3,4,5,6,8,10,12,13,15,16,17,23,30,32,33,35,37,
38,40,41,42,46,51,55,77,79,110,121,140,143,155,160,170,174,175,176,187,192,201
,284,372,379,409,452,453,458,464,476,485,501,508,521,532,615,865,923,1075,1097
,1209,1516,1518,1644,2406],[1,2,4,5,6,9,10,12,13,19,22,23,28,29,32,35,40,41,44
,50,65,73,75,76,77,108,118,139,141,153,160,162,168,173,179,180,189,199,201,281
,366,369,405,445,447,449,457,474,482,483,484,500,507,522,557,613,857,918,1078,
1098,1202,1512,1515,1642,2407],[1,2,4,5,6,9,12,13,19,20,23,32,35,40,41,44,50,
71,75,87,107,118,139,141,153,160,162,174,180,188,190,201,262,369,405,449,457,
484,494,500,507,522,559,616,857,919,1083,1104,1208,1515,1642,2408],[1,2,4,5,6,
8,10,12,13,19,20,22,23,31,32,34,35,38,40,41,42,46,51,71,74,77,108,121,140,143,
155,160,174,178,180,190,197,199,201,280,367,379,409,448,452,454,464,479,485,
501,508,521,559,613,865,927,1082,1111,1203,1513,1518,1644,2409],[1,2,3,4,6,7,
10,12,15,16,17,19,21,23,33,35,36,39,42,44,45,47,62,70,77,79,87,92,106,124,140,
146,159,163,165,182,183,187,188,198,200,204,279,370,375,410,452,453,461,470,
481,486,488,498,504,514,527,553,617,869,928,1086,1113,1216,1517,1529,1645,2410
],[1,3,4,5,6,8,11,14,17,21,25,30,32,33,35,37,38,41,42,46,49,69,86,89,113,121,
144,148,157,171,176,181,187,192,202,303,372,379,409,459,460,469,472,492,495,
503,513,520,545,614,873,923,1094,1114,1205,1532,1533,1647,2411],[1,2,3,4,5,6,8
,9,15,16,17,19,20,23,31,32,34,35,38,41,42,44,45,46,52,56,75,92,106,121,139,145
,156,165,166,177,178,186,190,195,197,200,204,275,367,379,409,449,455,471,480,
487,489,497,502,511,526,548,617,866,927,1087,1089,1215,1514,1526,1646,2412],[1
,2,3,4,5,6,9,12,13,14,15,16,17,28,30,32,40,41,44,50,52,54,55,64,118,139,141,
153,160,162,169,170,171,173,174,175,176,229,381,383,405,500,502,507,522,528,
529,531,532,533,539,857,945,1047,1130,1584,1585,1642,2413],[1,2,4,5,6,8,10,13,
14,19,28,32,40,41,43,44,63,65,121,140,143,155,158,159,160,168,171,173,179,180,
227,387,408,505,506,523,540,541,556,557,865,937,1048,1124,1593,1643,2414],[1,2
,3,4,5,6,8,10,13,14,15,19,28,30,32,40,41,42,43,44,45,51,62,63,64,65,121,140,
143,155,158,160,165,168,169,170,171,173,179,180,228,384,391,408,501,504,505,
506,523,536,537,538,539,541,557,865,933,1049,1123,1586,1587,1643,2415],[1,2,3,
4,5,6,8,10,13,14,15,19,28,30,32,40,41,42,44,45,46,51,62,63,64,65,121,140,143,
155,160,165,169,170,171,173,180,228,387,391,409,501,504,505,508,521,538,539,
540,556,865,935,1049,1122,1587,1593,1644,2416],[1,2,3,4,5,6,9,12,13,15,16,17,
21,30,32,40,41,44,50,52,55,68,70,118,139,141,153,160,162,170,174,175,176,181,
232,383,405,500,502,507,522,529,532,544,546,857,942,1051,1127,1585,1642,2417],
[1,2,4,5,6,9,10,12,13,19,20,28,32,40,41,44,50,65,71,118,139,141,153,155,160,
162,168,173,174,179,180,190,221,381,405,500,507,522,528,557,559,560,857,930,
1041,1126,1584,1642,2418],[1,2,3,4,5,6,8,10,12,13,15,16,17,19,20,30,32,40,41,
43,44,45,55,56,62,65,71,121,140,143,155,158,160,166,170,174,175,176,180,190,
231,391,408,504,505,506,523,532,535,538,559,865,940,1053,1131,1587,1643,2419],
[1,2,4,5,6,8,10,13,19,28,32,40,41,42,44,46,51,65,121,140,143,155,160,163,168,
173,179,180,219,384,387,409,501,505,508,521,536,556,557,865,947,1050,1125,1586
,1593,1644,2420],[1,2,3,4,5,6,8,9,12,13,15,16,17,21,29,31,33,35,40,41,42,44,45
,46,50,52,55,68,70,121,139,145,156,162,165,166,172,182,183,184,185,186,187,188
,189,232,386,388,409,500,502,511,526,549,551,552,553,554,555,866,946,1051,1134
,1588,1592,1646,2421],[1,2,3,4,6,7,10,12,13,15,16,17,19,20,29,31,33,35,42,44,
45,47,55,56,62,65,71,124,140,146,159,163,165,166,172,177,178,184,185,186,187,
189,195,231,393,394,410,504,505,514,527,547,548,549,550,561,562,869,949,1053,
1135,1590,1595,1645,2422],[1,2,3,4,5,6,8,11,15,21,28,30,41,42,44,45,46,49,66,
67,121,144,148,157,165,169,181,220,387,391,409,503,509,510,513,520,542,543,873
,935,1055,1121,1603,1604,1647,2423],[1,2,4,5,6,8,10,13,19,23,25,40,41,43,44,65
,103,107,121,140,143,155,158,160,201,202,203,204,249,408,505,506,523,612,616,
865,960,1118,1120,1187,1643,2424],[1,2,4,5,6,9,12,13,23,25,40,41,44,50,103,110
,118,139,141,153,160,162,201,202,204,247,405,500,507,522,612,615,857,958,1117,
1119,1188,1642,2425],[1,2,4,5,6,8,10,13,19,22,23,40,41,43,44,65,101,108,121,
140,143,155,158,160,205,206,209,210,332,408,505,506,523,619,621,865,962,1138,
1140,1143,1643,2426],[1,2,4,5,6,9,12,13,22,23,40,41,44,50,107,108,118,139,141,
153,160,162,205,206,208,331,405,500,507,522,620,621,857,961,1137,1139,1142,
1642,2427],[1,2,4,5,6,13,22,23,25,28,29,32,35,40,44,103,108,118,173,189,201,
204,206,208,350,366,369,405,593,595,848,849,852,918,958,961,1607,1608,1680,
2428],[1,2,4,5,6,13,22,23,28,29,32,35,40,44,107,108,110,118,173,189,201,204,
206,208,351,366,369,405,593,595,849,918,958,961,1606,1609,1680,2429],[1,2,4,5,
6,9,10,12,13,19,22,23,28,29,32,35,40,44,50,65,73,75,76,77,108,118,153,155,156,
159,173,174,180,188,189,195,201,204,206,208,281,366,369,405,484,485,497,498,
528,551,556,561,569,574,593,595,607,609,911,915,918,919,924,958,961,1168,1181,
1552,1554,1678,1680,1682,1684,1685,2430],[1,2,3,4,5,6,8,9,15,16,17,19,20,23,30
,31,32,33,34,35,37,38,40,41,42,43,44,46,52,56,75,92,106,121,153,154,156,158,
163,164,170,175,176,178,180,182,184,187,190,191,192,193,194,195,197,201,203,
204,205,209,210,275,367,372,379,408,409,484,488,491,496,497,499,529,535,550,
552,558,564,570,575,580,589,591,596,603,605,610,914,916,921,922,923,926,927,
960,962,1166,1175,1182,1553,1555,1679,1681,1683,1687,1688,2431],[1,2,3,4,5,6,
12,13,16,19,20,21,22,23,28,29,31,32,33,35,40,42,44,45,68,71,80,92,108,118,163,
166,172,173,177,178,182,183,185,189,201,204,206,208,270,366,369,380,382,405,
488,489,554,562,581,593,595,602,877,878,882,894,918,929,943,958,961,1165,1618,
1632,1680,1694,1709,2432],[1,2,4,5,6,10,12,13,19,20,22,23,28,29,32,35,40,41,44
,51,71,74,77,108,118,155,162,168,173,174,179,189,190,201,204,206,208,280,366,
369,381,383,405,482,485,536,560,576,593,595,597,876,880,884,895,918,930,942,
958,961,1169,1617,1626,1680,1691,1708,2433],[1,2,3,4,5,6,8,10,12,15,16,17,19,
21,23,28,30,31,32,33,34,35,37,40,41,43,44,45,62,70,77,79,87,92,106,121,158,159
,162,166,168,169,170,175,176,177,179,181,183,184,186,188,191,201,203,204,205,
209,210,279,367,372,387,388,390,391,408,482,489,491,498,537,546,547,555,578,
582,589,591,596,598,604,885,886,891,905,922,931,937,940,944,960,962,1162,1172,
1619,1638,1681,1690,1692,1710,1711,2434],[1,2,3,4,5,6,12,13,15,16,17,22,23,28,
29,31,32,33,35,40,42,44,45,55,106,107,108,109,118,165,172,173,184,185,186,187,
189,200,201,204,206,208,209,338,366,369,380,382,405,549,590,591,592,593,595,
617,623,877,878,879,918,939,954,958,961,1245,1614,1630,1680,1702,1703,2435],[1
,2,4,5,6,10,13,19,22,23,28,29,32,35,40,41,44,65,101,108,118,160,168,173,179,
180,189,199,201,204,206,208,332,366,369,381,383,405,557,586,593,595,613,619,
876,880,881,918,945,955,958,961,1243,1613,1628,1680,1699,1704,2436],[1,2,3,4,5
,6,8,12,13,15,16,17,22,23,29,30,31,32,33,34,35,37,40,41,42,43,44,45,55,106,107
,108,109,121,160,165,170,172,174,175,176,184,185,186,187,189,191,199,200,201,
203,204,205,208,209,210,338,367,372,384,386,390,391,408,532,549,583,589,590,
591,592,595,596,613,617,620,623,883,886,887,888,922,933,938,951,953,960,962,
1238,1245,1615,1620,1681,1700,1701,1705,1706,2437],[1,2,4,5,6,10,13,19,23,25,
28,29,32,35,40,44,65,103,107,118,155,159,173,180,189,195,249,366,369,405,556,
561,849,852,915,918,924,1554,1606,1608,2438],[1,2,4,5,6,9,12,13,23,25,28,29,32
,35,40,44,50,103,110,118,153,156,173,174,188,189,247,366,369,405,528,551,849,
852,911,918,919,1552,1608,1609,2439],[1,2,3,4,8,15,24,25,34,37,43,105,117,119,
191,353,368,371,406,850,851,917,1610,1696,2440],[1,2,3,4,8,15,24,25,34,37,43,
105,116,119,191,357,368,371,406,850,851,917,1610,1695,2441],[1,2,3,4,5,6,8,10,
13,16,19,21,23,28,29,30,32,33,35,37,38,40,41,43,44,45,65,68,79,92,107,121,159,
160,166,168,173,175,179,180,181,182,183,185,189,193,194,195,200,205,209,210,
268,372,379,386,387,390,391,408,486,487,544,554,557,561,582,592,598,603,605,
610,620,887,903,905,906,921,926,937,938,940,951,962,1163,1250,1634,1637,1650,
1651,1683,1701,1711,2442],[1,2,3,4,5,6,8,12,15,16,17,19,20,21,22,23,30,31,32,
33,35,37,38,40,41,42,43,44,45,56,70,76,80,87,92,109,121,158,162,165,170,175,
176,177,178,180,181,182,183,186,187,188,190,193,194,195,199,205,208,209,210,
278,372,379,384,388,390,391,408,475,483,535,546,548,553,578,583,602,603,604,
605,609,610,623,888,889,892,905,921,926,931,933,944,953,962,1170,1256,1621,
1636,1649,1656,1683,1700,1710,2443],[1,2,4,5,6,10,12,13,19,20,22,28,32,35,40,
41,44,65,71,74,76,101,118,155,160,162,168,173,174,179,180,188,190,195,199,206,
208,282,369,381,383,405,479,483,556,557,559,560,576,586,597,607,609,619,881,
884,895,919,924,930,942,945,955,961,1167,1254,1627,1629,1648,1654,1682,1699,
1708,2444],[1,2,3,4,5,6,12,15,16,17,19,20,21,22,23,31,32,33,35,40,42,44,45,56,
70,76,80,87,92,109,118,163,165,166,174,177,178,180,182,183,184,186,187,188,195
,200,206,208,209,278,369,380,382,405,481,487,548,550,553,555,581,590,602,603,
604,607,609,623,879,882,894,919,924,929,939,943,954,961,1164,1256,1631,1633,
1653,1655,1682,1702,1709,2445],[1,2,4,5,6,9,10,12,13,19,22,23,28,32,35,40,41,
44,50,65,73,75,76,77,108,118,153,155,156,160,162,168,173,174,179,180,195,199,
201,204,206,281,369,381,383,405,474,482,483,484,485,497,522,528,556,557,569,
593,607,613,881,884,911,924,930,942,945,955,958,1168,1202,1629,1654,1658,1669,
1685,1691,1704,2446],[1,2,4,5,6,10,12,13,19,20,22,23,28,32,35,40,41,44,51,71,
74,77,108,118,155,159,160,162,168,173,174,179,180,188,190,199,201,204,206,280,
369,381,383,405,479,482,485,498,521,536,559,560,576,593,597,613,881,895,915,
919,930,942,945,955,958,1169,1203,1627,1648,1665,1672,1684,1691,1704,2447],[1,
2,3,4,5,6,8,10,12,15,16,17,19,21,23,28,30,32,33,35,37,40,41,42,43,44,45,46,62,
70,77,79,87,92,106,121,158,159,162,163,164,165,168,169,170,175,176,179,181,182
,183,187,188,193,200,201,203,204,205,279,372,384,387,390,391,408,409,481,482,
486,488,491,498,499,527,537,546,553,578,589,598,617,888,905,916,921,933,935,
937,944,947,951,960,1172,1216,1636,1650,1663,1676,1688,1690,1706,2448],[1,2,3,
4,5,6,8,9,15,16,17,19,20,23,30,31,32,35,38,40,41,42,43,44,45,52,56,75,92,106,
121,153,154,156,158,165,166,170,175,176,177,178,180,186,190,194,195,200,201,
203,204,205,275,379,384,388,391,408,480,484,487,489,491,496,497,526,529,535,
548,570,589,605,617,889,892,914,926,931,933,940,951,960,1175,1215,1621,1651,
1660,1670,1687,1692,1706,2449],[1,2,3,4,5,6,8,12,13,16,19,20,21,22,23,29,30,31
,33,35,37,40,41,42,43,44,45,46,68,71,80,92,108,121,158,160,161,162,163,164,166
,172,175,177,178,181,182,183,185,189,193,199,201,203,204,208,270,372,386,388,
390,391,408,409,475,488,489,491,499,525,544,554,562,581,595,602,613,887,905,
916,921,931,936,938,940,946,953,960,1165,1198,1637,1649,1662,1675,1688,1692,
1705,2450],[1,2,3,4,6,8,9,15,16,17,19,20,23,31,34,35,37,38,42,43,44,45,46,52,
56,75,92,106,120,154,156,164,165,166,177,178,186,191,192,193,194,195,197,200,
203,204,210,275,378,385,389,392,407,480,487,489,496,497,499,526,548,558,564,
580,596,610,617,890,893,913,925,932,934,941,952,959,1182,1215,1623,1652,1661,
1671,1686,1693,1707,2451],[1,2,3,4,5,6,10,12,15,16,17,19,21,23,31,32,33,35,40,
42,44,45,62,70,77,79,87,92,106,118,155,159,163,165,166,174,177,182,183,184,186
,187,188,200,201,204,209,279,369,380,382,405,481,485,486,488,489,498,527,547,
553,555,582,591,604,617,879,894,915,919,929,939,943,954,958,1162,1216,1633,
1653,1666,1674,1684,1694,1703,2452],[1,2,3,4,5,6,9,15,16,17,19,20,23,31,32,33,
35,40,42,44,45,52,56,75,92,106,118,153,156,163,165,166,177,178,180,182,184,186
,187,195,200,201,204,209,275,369,380,382,405,480,484,487,488,489,497,526,548,
550,552,575,591,603,617,879,882,911,924,929,939,943,954,958,1166,1215,1631,
1655,1659,1668,1685,1694,1703,2453],[1,2,4,5,6,8,9,10,12,13,19,22,23,28,29,32,
35,38,40,41,43,44,50,65,73,75,76,77,108,121,153,154,156,159,160,162,168,173,
179,180,188,189,194,195,199,201,203,204,208,281,379,386,387,390,408,474,482,
483,484,496,497,498,522,551,557,561,574,595,609,613,903,906,914,926,937,938,
944,953,960,1181,1202,1634,1656,1664,1673,1687,1690,1705,2454],[1,4,5,6,8,20,
24,31,32,34,35,38,41,42,46,88,96,116,121,178,190,197,207,358,367,379,409,565,
566,608,611,625,927,1275,1276,1288,1689,2455],[1,4,8,20,25,34,38,46,93,98,117,
119,197,360,371,403,851,902,1544,1558,1696,2456],[1,4,8,20,25,34,38,46,93,97,
117,119,197,359,371,403,851,902,1544,1557,1696,2457],[1,4,8,20,24,25,34,38,46,
88,99,116,119,197,361,371,403,850,851,902,1543,1559,1695,2458],[1,4,8,20,24,34
,38,46,88,96,116,119,197,358,371,403,850,902,1543,1556,1695,2459],[1,4,8,20,25
,34,38,46,93,97,117,122,197,359,374,399,854,909,1548,1560,1698,2460],[1,4,8,20
,25,34,38,46,93,98,117,123,197,360,373,400,853,908,1547,1561,1697,2461],[1,2,3
,4,5,6,9,10,15,16,19,22,23,31,33,40,42,44,45,52,62,73,75,79,80,109,118,153,155
,156,159,163,165,166,177,182,184,200,206,208,209,283,380,382,405,480,486,526,
527,547,552,569,574,575,581,582,590,602,623,911,915,929,939,943,954,961,1161,
1227,1659,1666,1668,1674,1678,1702,1709,2462],[1,2,3,4,5,6,8,9,10,15,16,19,22,
23,28,30,32,40,41,42,43,44,45,46,52,62,73,75,79,80,109,121,153,154,156,158,159
,163,164,165,166,168,169,170,175,179,199,205,208,209,210,283,384,387,391,408,
409,474,475,526,527,529,537,570,574,575,580,581,582,583,598,623,914,916,933,
935,937,940,947,953,962,1145,1227,1662,1664,1670,1676,1679,1700,1711,2463],[1,
2,4,5,6,8,9,12,13,19,20,23,29,31,35,40,41,42,43,44,46,50,71,75,87,107,121,153,
154,156,158,160,161,162,163,164,172,177,178,188,189,200,205,209,210,262,386,
388,390,408,409,480,481,522,525,551,562,570,575,578,580,592,604,620,914,916,
931,936,938,944,946,951,962,1160,1221,1660,1663,1673,1675,1679,1701,1710,2464]
,[1,2,4,5,6,9,10,12,13,22,28,32,40,41,44,50,51,73,74,101,118,153,155,156,159,
160,162,168,173,174,199,206,208,258,381,383,405,474,479,521,522,528,536,569,
574,576,586,597,619,911,915,930,942,945,955,961,1156,1225,1658,1665,1669,1672,
1678,1699,1708,2465],[1,2,3,4,5,6,8,15,24,25,28,30,41,42,44,45,46,96,99,105,
121,165,169,202,207,344,387,391,409,565,566,587,611,624,935,1136,1282,1689,
2466],[1,4,5,6,8,20,24,31,35,41,42,46,88,96,116,121,161,178,207,358,388,390,
409,565,566,579,611,626,936,1275,1279,1689,2467],[1,4,5,26,27,41,132,134,215,
217,627,652,654,1290,1712,2468],[1,2,5,26,27,40,130,136,215,217,627,650,663,
1291,1712,2469],[1,3,5,26,27,30,133,137,215,217,627,657,662,1292,1712,2470],[1
,2,3,4,9,11,12,13,14,15,16,17,21,26,50,52,54,55,57,64,67,68,69,70,130,131,132,
135,136,218,229,232,233,234,420,421,422,424,425,426,427,428,429,430,431,432,
667,969,970,971,972,973,974,975,977,978,979,980,981,1716,1717,1718,1719,1720,
2471],[1,2,4,10,11,12,13,24,26,49,51,57,78,82,96,100,102,135,136,257,259,316,
421,422,423,424,437,671,967,968,970,985,1002,1004,1005,1008,1731,1733,1769,
2472],[1,2,3,4,10,13,14,15,19,22,23,26,51,62,63,64,65,101,108,109,110,130,131,
132,135,136,228,332,339,340,414,416,422,423,425,426,427,429,433,734,968,981,
982,983,984,987,988,989,997,1715,1753,1754,1755,2473],[1,2,3,4,9,12,13,14,15,
16,17,22,23,26,50,52,54,55,64,101,106,107,108,109,110,130,131,132,135,136,229,
331,337,338,340,414,416,420,422,424,425,426,427,428,429,430,431,737,969,971,
977,978,979,980,981,987,988,989,993,994,997,1719,1752,1755,1759,1761,2474],[1,
2,3,4,9,12,13,14,15,16,17,24,25,26,50,52,54,55,64,100,103,104,105,111,112,130,
131,132,135,136,229,333,334,335,336,415,417,420,422,424,425,426,427,428,429,
430,431,735,969,971,977,978,979,980,981,986,990,991,992,995,996,1719,1756,1757
,1758,1760,2475],[1,2,3,4,9,11,12,13,21,25,26,50,57,66,86,91,113,131,135,136,
218,254,300,420,421,422,424,432,435,691,969,970,976,1001,1023,1025,1720,1744,
1748,2476],[1,2,4,9,11,12,13,14,19,23,25,26,50,57,63,75,81,89,103,110,132,135,
136,218,242,247,265,286,420,421,422,424,426,433,435,436,695,969,970,982,999,
1000,1020,1022,1024,1720,1740,1742,1746,1747,2477],[1,2,4,9,11,12,13,24,26,49,
50,57,78,82,102,135,136,218,238,259,420,421,422,424,437,687,967,969,970,1004,
1005,1008,1720,1733,1751,2478],[1,2,4,9,10,11,12,13,22,24,26,50,51,57,73,74,82
,100,101,135,136,218,236,237,257,258,420,421,422,423,424,437,438,688,968,969,
970,1002,1003,1006,1007,1008,1720,1731,1732,1749,1750,2479],[1,2,4,10,11,12,13
,19,23,24,27,51,57,65,77,82,87,100,107,134,219,239,240,257,263,689,1730,2480],
[1,2,3,4,10,13,16,19,21,23,25,27,51,65,68,79,91,92,103,107,133,219,239,249,264
,268,697,1730,2481],[1,2,4,10,11,12,13,24,25,26,51,57,82,100,113,135,136,254,
257,421,422,423,424,435,437,719,968,970,1001,1002,1008,1731,1748,2482],[1,2,4,
11,12,13,23,24,25,26,49,57,78,82,102,110,113,135,136,242,254,259,421,422,424,
435,436,437,721,967,970,1000,1001,1004,1005,1008,1733,1746,1748,2483],[1,2,3,4
,10,13,14,15,19,25,26,51,62,63,64,65,103,111,112,130,131,132,135,136,228,252,
334,417,422,423,425,426,427,429,433,790,968,981,982,983,984,990,995,996,1715,
1728,1757,2484],[1,2,3,4,11,12,13,14,15,16,17,21,22,23,25,26,55,57,64,67,68,69
,70,101,103,108,109,110,111,112,130,131,132,135,136,233,244,251,334,340,414,
416,417,421,422,424,425,426,427,429,430,431,432,792,970,972,973,974,975,978,
981,987,988,989,990,995,996,997,1717,1723,1727,1755,1757,2485],[1,2,3,4,11,12,
13,14,15,16,17,21,23,24,25,26,55,57,64,67,68,69,70,100,103,104,105,106,107,110
,130,131,132,135,136,233,243,251,336,337,415,416,417,421,422,424,425,426,427,
429,430,431,432,791,970,972,973,974,975,978,981,986,989,990,991,992,993,994,
1717,1724,1727,1759,1760,2486],[1,2,3,4,9,12,13,14,15,16,17,23,25,26,50,52,54,
55,64,103,106,107,110,111,112,130,131,132,135,136,229,247,251,334,337,416,417,
420,422,424,425,426,427,428,429,430,431,794,969,971,977,978,979,980,981,989,
990,993,994,995,996,1719,1722,1727,1757,1759,2487],[1,2,3,4,10,13,14,15,19,23,
24,25,26,51,62,63,64,65,100,103,104,105,106,107,110,130,131,132,135,136,228,
240,249,336,337,415,416,417,422,423,425,426,427,429,433,787,968,981,982,983,
984,986,989,990,991,992,993,994,1715,1725,1726,1759,1760,2488],[1,2,3,4,9,12,
13,14,15,16,17,22,23,24,25,26,50,52,54,55,64,100,101,103,104,105,108,109,110,
130,131,132,135,136,229,237,243,244,247,336,340,414,415,416,417,420,422,424,
425,426,427,428,429,430,431,788,969,971,977,978,979,980,981,986,987,988,989,
990,991,992,997,1719,1721,1722,1723,1724,1755,1760,2489],[1,2,3,4,10,11,12,13,
14,15,16,17,19,21,24,25,26,51,55,57,62,63,64,65,67,68,69,70,82,89,90,91,100,
103,104,105,130,131,132,135,136,228,233,257,264,265,266,273,274,336,421,422,
423,424,425,426,427,429,430,431,432,433,435,437,756,968,970,972,973,974,975,
978,981,982,983,984,999,1002,1008,1009,1010,1018,1023,1024,1715,1717,1731,1734
,1737,1740,1741,1779,1780,2490],[1,2,3,4,9,10,12,13,14,15,16,17,19,22,23,26,50
,51,52,54,55,62,63,64,65,73,74,75,76,77,79,80,81,101,108,109,110,130,131,132,
135,136,228,229,258,281,283,284,285,286,287,290,340,420,422,423,424,425,426,
427,428,429,430,431,433,436,438,767,968,969,971,977,978,979,980,981,982,983,
984,1000,1003,1006,1007,1011,1012,1016,1017,1019,1020,1021,1022,1715,1719,1732
,1735,1739,1742,1743,1775,1776,1777,1778,2491],[1,2,3,4,11,12,13,14,15,16,17,
21,24,25,26,49,55,57,64,66,67,68,69,70,78,82,85,86,89,90,91,102,105,113,114,
130,131,132,135,136,220,233,259,274,300,301,302,303,304,305,343,421,422,424,
425,426,427,429,430,431,432,435,437,768,967,970,972,973,974,975,976,978,981,
1001,1004,1005,1008,1009,1013,1015,1018,1023,1024,1025,1714,1717,1733,1736,
1738,1744,1745,1772,1773,1774,1780,2492],[1,2,3,4,10,11,12,13,14,15,16,17,21,
23,24,26,51,54,55,57,69,70,77,79,82,100,110,131,132,135,136,234,242,243,257,
284,421,422,423,424,426,427,428,430,431,432,436,437,696,968,970,974,975,979,
980,1000,1002,1008,1019,1021,1718,1731,1743,1746,1764,2493],[1,2,3,4,9,10,12,
13,15,16,17,21,22,23,25,26,50,51,52,55,68,70,73,74,77,79,91,101,103,110,131,
132,135,136,232,244,245,247,258,264,284,420,422,423,424,427,428,430,431,432,
435,436,438,701,968,969,973,975,977,979,999,1000,1003,1006,1007,1019,1021,1023
,1716,1732,1741,1743,1747,1763,1765,2494],[1,2,3,4,11,12,13,14,15,16,17,21,24,
25,26,49,54,55,57,69,70,78,82,86,89,102,113,131,132,135,136,234,254,255,259,
303,421,422,424,426,427,428,430,431,432,435,437,693,967,970,974,975,979,980,
1001,1004,1005,1008,1024,1025,1718,1733,1745,1748,1766,2495],[1,2,3,4,11,12,13
,14,15,16,17,19,21,22,25,26,54,55,57,63,69,70,76,80,89,101,103,131,132,135,136
,234,236,244,265,285,421,422,424,426,427,428,430,431,432,433,435,438,694,970,
974,975,979,980,982,999,1003,1016,1017,1024,1718,1735,1740,1749,1763,2496],[1,
2,3,4,9,12,13,14,15,16,17,19,21,22,23,24,26,50,52,55,63,68,70,75,76,80,81,90,
100,101,110,131,132,135,136,232,237,243,245,266,285,286,420,422,424,426,427,
428,430,431,432,433,436,437,438,700,969,973,975,977,979,982,1000,1002,1003,
1016,1017,1018,1020,1022,1716,1734,1735,1742,1750,1764,1765,2497],[1,2,3,4,11,
12,13,14,15,16,17,21,24,25,26,54,55,57,66,69,70,85,86,90,91,102,113,131,132,
135,136,234,238,255,300,302,421,422,424,426,427,428,430,431,432,435,437,692,
970,974,975,976,979,980,1001,1004,1015,1018,1023,1025,1718,1736,1744,1751,1766
,2498],[1,2,4,10,11,12,13,24,26,51,57,82,100,102,135,136,238,257,421,422,423,
424,437,716,968,970,1002,1004,1008,1731,1751,2499],[1,2,4,11,12,13,22,24,26,49
,57,78,82,101,102,135,136,236,238,259,421,422,424,437,438,717,967,970,1003,
1004,1005,1008,1733,1749,1751,2500],[1,2,3,4,11,12,13,14,15,16,17,21,22,23,26,
55,57,64,67,68,69,70,101,108,109,110,130,131,132,135,136,233,236,242,245,340,
421,422,424,425,426,427,429,430,431,432,436,438,784,970,972,973,974,975,978,
981,1000,1003,1011,1012,1717,1739,1746,1749,1765,2501],[1,2,3,4,9,12,13,14,15,
16,17,22,23,24,25,26,50,52,54,55,64,100,101,103,104,105,108,109,110,130,131,
132,135,136,229,237,243,244,247,336,340,420,422,424,425,426,427,428,429,430,
431,435,436,437,438,788,969,971,977,978,979,980,981,999,1000,1002,1003,1009,
1010,1011,1012,1719,1737,1739,1747,1750,1763,1764,2502],[1,2,3,4,11,12,13,14,
15,16,17,21,24,25,26,55,57,64,67,68,69,70,102,105,113,114,130,131,132,135,136,
233,238,254,255,343,421,422,424,425,426,427,429,430,431,432,435,437,796,970,
972,973,974,975,978,981,1001,1004,1009,1013,1717,1738,1748,1751,1766,2503],[1,
2,3,4,13,14,15,23,24,25,26,64,100,103,104,105,106,107,110,130,131,132,135,136,
336,337,349,416,422,425,426,427,429,435,437,739,981,989,993,994,999,1002,1009,
1010,1737,1759,1785,2504],[1,2,3,4,13,14,15,24,25,26,64,100,103,104,105,130,
131,132,135,136,336,348,415,417,422,425,426,427,429,435,437,738,981,986,990,
991,992,999,1002,1009,1010,1737,1760,1786,2505],[1,2,3,4,13,14,15,22,23,26,64,
101,106,107,108,109,110,130,131,132,135,136,337,340,347,351,414,416,422,425,
426,427,429,436,438,741,981,987,988,989,993,994,997,1000,1003,1011,1012,1739,
1755,1759,1781,1784,2506],[1,2,3,4,13,14,15,22,23,24,25,26,64,100,101,103,104,
105,108,109,110,130,131,132,135,136,336,340,346,350,414,415,416,417,422,425,
426,427,429,436,438,740,981,986,987,988,989,990,991,992,997,1000,1003,1011,
1012,1739,1755,1760,1782,1783,2507],[1,2,3,4,10,11,12,13,16,21,24,25,26,51,57,
66,68,82,85,86,91,99,100,103,113,114,131,135,136,257,264,300,304,328,329,421,
422,423,424,430,432,435,437,684,968,970,973,976,999,1001,1002,1008,1013,1014,
1015,1023,1025,1731,1741,1744,1767,1771,1774,2508],[1,2,3,4,11,12,13,14,17,19,
21,24,25,26,49,57,63,66,69,78,82,86,89,90,91,99,102,103,104,113,114,131,132,
135,136,259,265,273,300,303,305,326,329,330,421,422,424,426,431,432,433,435,
437,685,967,970,974,976,982,999,1001,1004,1005,1008,1010,1013,1014,1018,1023,
1024,1025,1733,1740,1744,1745,1768,1770,1771,1773,1779,2509],[1,2,3,4,13,14,15
,22,23,24,25,26,64,100,101,103,104,105,108,109,110,111,112,130,131,132,135,136
,334,336,340,415,417,422,425,426,427,429,436,438,777,981,986,990,991,992,995,
996,1000,1003,1011,1012,1739,1757,1760,2510],[1,2,3,4,13,14,15,22,23,24,25,26,
64,100,101,103,104,105,108,109,110,111,112,130,131,132,135,136,334,336,340,414
,416,417,422,425,426,427,429,435,437,777,981,987,988,989,990,995,996,997,999,
1002,1009,1010,1737,1755,1757,2511],[1,2,3,4,13,14,15,22,23,25,26,64,101,103,
106,107,108,109,110,111,112,130,131,132,135,136,334,337,340,416,417,422,425,
426,427,429,436,438,776,981,989,990,993,994,995,996,1000,1003,1011,1012,1739,
1757,1759,2512],[1,2,3,4,11,12,13,21,23,24,25,26,57,66,86,91,102,110,113,131,
135,136,238,242,300,421,422,424,432,435,436,437,723,970,976,1000,1001,1004,
1023,1025,1744,1746,1751,2513],[1,2,4,11,12,13,14,19,24,25,26,57,63,89,102,103
,113,132,135,136,238,254,265,421,422,424,426,433,435,437,724,970,982,999,1001,
1004,1024,1740,1748,1751,2514],[1,2,3,4,11,12,13,21,22,25,26,57,66,86,91,101,
113,131,135,136,236,254,300,421,422,424,432,435,438,720,970,976,1001,1003,1023
,1025,1744,1748,1749,2515],[1,2,4,11,12,13,14,19,25,26,57,63,89,103,112,132,
135,136,252,265,417,421,422,424,426,433,435,727,970,982,996,999,1024,1728,1740
,2516],[1,2,3,4,11,13,14,16,17,19,21,24,25,26,63,66,68,69,78,82,85,86,89,90,91
,96,99,100,102,104,114,131,132,135,136,266,273,302,304,305,316,327,328,330,421
,422,426,430,431,432,433,435,437,686,973,974,976,982,985,1002,1004,1005,1008,
1010,1013,1014,1015,1018,1023,1024,1025,1734,1736,1762,1767,1768,1769,1773,
1774,1779,2517],[1,2,3,4,11,13,14,15,21,24,25,26,64,67,78,82,85,86,89,90,91,96
,99,100,102,103,104,105,113,114,130,131,132,135,136,274,301,316,326,327,328,
329,330,336,343,344,421,422,425,426,427,429,432,435,437,829,972,981,985,999,
1001,1002,1004,1005,1008,1009,1010,1013,1014,1015,1018,1023,1024,1025,1729,
1737,1738,1762,1767,1768,1769,1770,1771,1772,1780,2518],[1,2,4,11,12,13,14,19,
25,26,57,63,89,103,117,132,135,136,265,355,421,422,424,426,433,435,779,970,982
,999,1024,1026,1740,1789,2519],[1,2,3,4,10,13,16,21,25,26,51,68,91,103,117,131
,135,136,264,355,422,423,430,432,435,780,968,973,999,1023,1026,1741,1789,2520]
,[1,2,3,4,10,13,14,15,19,27,51,62,63,64,65,137,219,227,228,665,1730,2521],[1,2
,3,4,13,14,16,19,21,24,25,26,63,68,90,100,112,131,132,135,136,252,266,417,422,
426,430,432,433,437,730,973,982,996,1002,1018,1728,1734,2522],[1,2,3,4,13,14,
15,24,25,26,64,100,103,104,105,117,130,131,132,135,136,336,353,354,355,422,425
,426,427,429,435,437,836,981,999,1002,1009,1010,1026,1737,1787,1788,1789,2523]
,[1,2,4,9,10,12,13,19,22,23,25,26,50,65,73,75,76,77,103,107,108,110,130,132,
136,247,249,281,331,339,350,351,414,416,417,420,423,428,429,433,436,438,810,
971,984,989,990,994,997,1007,1011,1017,1021,1022,1722,1725,1752,1754,1778,1783
,1784,2524],[1,2,3,4,10,12,13,15,16,17,19,22,23,25,26,55,65,74,79,80,81,101,
103,106,107,108,109,130,131,132,135,136,244,249,287,332,338,347,350,414,416,
417,423,424,425,429,430,431,433,436,438,812,978,984,987,988,990,993,994,997,
1006,1011,1016,1019,1020,1723,1725,1753,1761,1777,1781,1783,2525],[1,2,3,4,10,
12,13,15,16,17,19,22,23,24,26,55,65,74,79,80,81,100,106,107,108,109,110,130,
131,132,135,136,240,243,287,338,339,346,351,414,415,416,423,424,425,429,430,
431,433,436,438,811,978,984,986,988,989,993,994,997,1006,1011,1016,1019,1020,
1724,1726,1754,1761,1777,1782,1784,2526],[1,2,4,9,10,12,13,19,22,23,24,26,50,
65,73,75,76,77,100,101,107,108,130,132,136,237,240,281,331,332,346,347,414,415
,416,420,423,428,429,433,436,438,809,971,984,986,987,994,997,1007,1011,1017,
1021,1022,1721,1726,1752,1753,1778,1781,1782,2527],[1,3,4,14,21,24,25,26,85,90
,96,104,114,117,131,132,135,327,348,354,415,417,426,432,435,437,824,985,992,
1010,1013,1015,1018,1026,1762,1786,1788,2528],[1,2,3,4,15,23,24,25,26,96,99,
105,106,117,130,131,135,344,349,353,416,425,435,437,840,985,993,1009,1014,1026
,1729,1785,1787,2529],[1,4,11,14,24,25,26,78,89,99,104,113,117,132,135,326,348
,354,415,417,421,426,435,437,825,992,1001,1005,1010,1014,1024,1026,1770,1786,
1788,2530],[1,2,3,4,11,15,21,23,24,25,26,67,78,85,86,105,106,117,130,131,135,
301,349,353,416,421,425,432,435,437,846,972,993,1005,1009,1015,1025,1026,1772,
1785,1787,2531],[1,4,5,6,7,8,32,35,38,39,118,120,121,122,123,124,125,126,369,
373,374,375,376,377,378,379,629,630,631,632,1305,1306,1307,1308,1790,2532],[1,
4,5,6,8,31,32,34,42,118,119,120,121,128,367,371,380,384,385,411,629,634,638,
1295,1310,1325,1791,2533],[1,3,5,6,8,30,33,37,45,118,119,120,121,128,368,372,
382,391,392,412,629,634,638,1300,1311,1326,1791,2534],[1,2,5,6,7,8,28,29,40,44
,118,120,121,122,123,124,125,126,366,381,386,387,393,405,629,630,631,632,1294,
1297,1317,1319,1790,2535],[1,3,5,6,7,8,33,36,45,47,118,120,121,122,123,124,125
,126,370,382,394,395,396,397,398,410,629,630,631,632,1301,1302,1322,1323,1790,
2536],[1,4,5,6,7,8,31,32,34,41,42,46,118,120,121,122,123,124,125,126,367,380,
383,384,385,388,389,399,400,401,402,409,629,630,631,632,1295,1303,1304,1318,
1320,1321,1790,2537],[1,2,5,6,8,40,43,44,118,119,120,121,128,405,406,407,408,
413,629,634,638,1293,1309,1324,1791,2538],[1,4,5,6,7,8,31,32,34,38,39,46,119,
120,121,122,123,125,126,127,367,376,389,399,400,401,403,404,632,633,634,635,
636,637,1299,1304,1330,1331,1332,1333,1795,2539],[1,4,5,6,8,31,38,41,42,46,118
,119,120,121,128,380,388,389,403,409,629,634,638,1318,1330,1791,2540],[1,4,5,6
,7,8,31,39,41,42,46,118,120,121,127,129,380,388,389,404,409,629,635,639,1318,
1331,1793,2541],[1,4,5,6,8,32,35,38,46,118,119,120,121,128,369,378,379,403,629
,634,638,1305,1316,1791,2542],[1,4,6,7,8,35,38,39,46,119,120,124,126,129,375,
377,378,403,630,634,639,1306,1316,1792,2543],[1,4,5,6,7,8,34,41,42,46,119,120,
121,122,123,125,126,127,371,385,399,400,402,409,632,633,634,635,636,637,1298,
1310,1312,1313,1321,1795,2544],[1,4,5,6,7,8,32,35,38,39,46,119,120,121,122,123
,125,126,127,373,374,376,377,378,379,401,403,404,632,633,634,635,636,637,1299,
1308,1314,1315,1316,1795,2545],[1,4,5,6,7,8,34,41,42,46,120,121,122,123,125,
126,128,129,385,399,400,402,409,411,632,638,639,640,641,642,1321,1325,1327,
1328,1329,1796,2546],[1,2,6,9,10,22,29,48,73,140,141,439,446,447,2547],[1,4,6,
11,24,31,48,78,144,439,451,2548],[1,4,6,11,42,48,49,144,439,503,1335,2549],[1,
4,8,11,46,48,49,148,440,513,1335,2550],[1,2,3,4,6,9,15,16,42,44,45,48,52,156,
165,166,212,213,214,439,526,643,646,647,1027,1028,1033,1337,1797,1805,1806,
2551],[1,2,3,4,6,10,15,19,42,44,45,48,62,159,163,165,212,213,214,439,527,644,
645,646,1027,1028,1033,1336,1798,1804,1806,2552],[1,4,5,11,41,48,49,157,442,
520,1335,2553],[1,2,3,4,5,9,15,16,41,48,52,139,212,213,214,442,502,643,646,647
,1034,1337,1799,2554],[1,2,3,4,6,10,15,19,45,48,62,140,212,213,214,443,504,644
,645,646,1035,1336,1800,2555],[1,2,6,9,10,22,29,48,73,140,214,443,446,643,644,
648,1036,1339,1800,2556],[1,2,5,9,10,22,28,48,73,139,214,442,445,643,644,648,
1037,1339,1799,2557],[1,2,4,5,9,19,23,32,48,75,139,212,214,442,449,643,645,649
,1031,1342,1799,2558],[1,2,3,6,10,16,23,33,48,79,140,213,214,443,453,644,647,
649,1032,1341,1800,2559],[1,2,3,4,8,9,15,16,46,48,52,145,212,213,214,440,511,
643,646,647,1029,1337,1801,2560],[1,2,3,4,7,10,15,19,47,48,62,146,212,213,214,
441,514,644,645,646,1030,1336,1802,2561],[1,2,3,4,6,15,22,23,42,44,45,48,109,
165,208,209,212,213,214,439,623,646,648,649,1027,1028,1033,1340,1803,1806,1807
,2562],[1,2,3,6,10,16,23,44,45,48,79,159,166,209,213,214,439,582,644,647,649,
1028,1033,1341,1798,1805,1807,2563],[1,2,4,6,9,19,23,42,44,48,75,156,163,209,
212,214,439,575,643,645,649,1027,1033,1342,1797,1804,1807,2564],[1,2,6,9,10,22
,44,48,73,156,159,208,214,439,574,643,644,648,1033,1339,1797,1798,1803,2565],[
1,2,3,4,6,16,19,22,42,44,45,48,80,163,166,208,212,213,214,439,581,645,647,648,
1027,1028,1033,1338,1803,1804,1805,2566],[1,2,5,6,9,26,28,40,118,130,139,141,
153,215,381,650,857,1343,2567],[1,2,5,6,8,10,26,29,40,121,130,140,143,155,215,
386,650,865,1344,2568],[1,2,5,6,8,9,26,28,44,121,130,139,145,156,216,387,651,
866,1343,2569],[1,2,6,7,10,26,29,44,124,130,140,146,159,216,393,651,869,1344,
2570],[1,4,5,6,8,11,27,35,41,121,134,144,148,157,217,390,654,873,1345,2571],[1
,4,5,7,8,20,27,34,41,125,134,147,151,161,217,402,654,874,1346,2572],[1,2,5,6,9
,26,40,118,136,139,141,153,215,216,420,663,857,1038,1356,1358,1360,2573],[1,2,
5,6,22,26,40,44,118,130,206,208,215,216,405,414,650,651,961,1038,1361,1362,
1810,2574],[1,2,5,6,23,26,40,44,118,130,201,204,215,216,405,416,650,651,958,
1038,1353,1354,1810,2575],[1,2,3,5,6,16,26,28,29,33,45,118,131,136,185,215,216
,366,382,430,653,655,660,661,878,1038,1369,1811,1815,2576],[1,2,4,5,6,19,26,28
,29,32,41,118,132,136,179,215,216,366,383,433,652,656,660,661,880,1038,1370,
1811,1816,2577],[1,2,4,5,6,12,26,28,29,31,42,118,135,136,172,215,216,366,380,
424,659,660,661,664,877,1038,1375,1811,1813,2578],[1,2,5,6,10,26,28,29,40,118,
136,168,215,216,366,381,423,660,661,663,876,1038,1374,1811,1814,2579],[1,2,4,5
,6,13,26,28,29,32,35,40,44,118,130,132,136,173,189,215,216,366,369,405,429,650
,651,656,658,660,661,918,1038,1366,1371,1810,1811,1812,2580],[1,2,5,6,22,26,28
,29,118,136,215,216,366,438,660,661,848,1038,1811,2581],[1,2,5,6,23,26,28,29,
118,136,215,216,366,436,660,661,849,1038,1811,2582],[1,2,4,5,6,19,26,28,32,35,
40,41,118,132,136,179,180,215,216,369,381,383,433,652,656,658,660,663,881,1038
,1370,1376,1812,1814,1816,2583],[1,3,4,5,6,17,26,31,32,33,35,42,45,118,131,132
,135,186,187,215,216,369,380,382,431,653,655,656,658,659,664,879,1038,1368,
1377,1812,1813,1815,2584],[1,4,5,6,25,26,32,35,118,132,215,216,369,417,656,658
,852,1038,1812,2585],[1,2,3,4,5,6,15,26,31,33,40,42,44,45,118,130,131,135,165,
184,215,216,380,382,405,425,650,651,653,655,659,664,939,1038,1367,1380,1810,
1813,1815,2586],[1,2,4,5,6,13,26,28,32,40,41,44,118,130,132,136,160,173,215,
216,381,383,405,429,650,651,652,656,660,663,945,1038,1366,1378,1810,1814,1816,
2587],[1,2,5,6,22,26,40,44,118,130,199,206,215,216,405,414,650,651,955,1038,
1351,1361,1810,2588],[1,2,5,6,23,26,40,44,118,130,200,209,215,216,405,416,650,
651,954,1038,1352,1364,1810,2589],[1,5,6,7,8,48,118,121,124,125,126,439,440,
441,442,443,631,1382,1383,1384,1385,1386,2590],[1,2,4,6,9,10,11,12,13,22,24,29
,31,42,49,50,51,57,73,74,78,82,96,100,101,102,140,144,172,218,236,237,238,257,
258,259,316,446,448,450,451,501,503,565,671,687,688,716,717,1070,1084,1388,
1832,2591],[1,2,3,4,6,10,11,12,13,14,15,16,17,21,23,24,25,33,35,42,49,51,54,55
,57,69,70,77,78,79,82,86,89,96,100,102,110,113,140,144,187,234,242,243,254,255
,257,259,284,303,316,452,453,459,460,501,503,565,671,693,696,719,721,1075,1094
,1392,1832,2592],[1,2,3,4,8,10,11,12,13,14,15,16,17,21,23,24,25,37,38,46,49,51
,54,55,57,69,70,77,78,79,82,86,89,96,100,102,110,113,143,148,192,234,242,243,
254,255,257,259,284,303,316,458,464,469,472,508,513,566,671,693,696,719,721,
1097,1114,1392,1833,2593],[1,2,3,4,5,9,11,12,13,14,15,16,17,18,21,40,41,50,52,
54,55,57,58,59,60,61,64,67,68,69,70,139,153,157,160,162,218,222,223,224,225,
226,229,232,233,234,500,502,522,524,667,669,670,1039,1042,1047,1051,1067,1387,
1841,1844,2594],[1,2,4,6,9,10,11,12,13,22,24,29,31,42,49,50,51,57,73,74,78,82,
96,100,101,102,141,144,172,218,236,237,238,257,258,259,316,447,450,451,503,671
,687,688,716,717,1058,1084,1388,1817,1818,1845,2595],[1,2,3,4,6,9,10,11,12,13,
16,21,22,24,25,29,33,45,50,51,57,66,68,73,74,82,85,86,91,99,100,101,103,113,
114,141,144,185,218,236,237,254,257,258,264,300,304,328,329,447,450,459,509,
684,688,691,719,720,1058,1092,1390,1818,1819,1846,2596],[1,2,3,4,6,9,11,12,13,
14,17,19,21,23,24,25,33,35,42,49,50,57,63,66,69,75,78,81,82,86,89,90,91,99,102
,103,104,110,113,114,141,144,187,218,238,242,247,254,259,265,273,286,300,303,
305,326,329,330,457,459,460,503,685,687,691,695,721,723,724,1058,1094,1395,
1819,1824,1845,2597],[1,2,3,4,6,9,11,12,13,14,17,19,21,23,24,25,31,35,45,49,50
,57,63,66,69,75,78,81,82,86,89,90,91,99,102,103,104,110,113,114,141,144,186,
218,238,242,247,254,259,265,273,286,300,303,305,326,329,330,451,457,460,509,
685,687,691,695,721,723,724,1058,1091,1395,1817,1824,1846,2598],[1,2,3,4,6,9,
11,12,13,14,19,21,23,25,33,35,45,50,57,59,63,66,75,81,84,86,89,91,94,98,103,
110,112,113,115,141,144,183,218,242,247,254,265,286,294,300,312,317,324,457,
459,460,509,675,691,695,726,729,1058,1101,1396,1819,1824,1846,2599],[1,2,3,4,6
,9,11,12,13,14,19,21,23,25,33,35,45,50,57,58,63,66,75,81,83,86,89,91,95,97,103
,110,112,113,115,141,144,183,218,242,247,254,265,286,293,300,313,318,323,457,
459,460,509,676,691,695,725,728,1058,1100,1397,1819,1824,1846,2600],[1,2,3,4,7
,10,11,12,13,14,19,21,23,25,36,39,47,57,58,63,65,66,77,83,86,87,89,91,95,97,
103,107,112,113,115,146,150,198,227,246,249,252,263,265,293,300,313,318,323,
462,466,470,516,676,698,705,727,731,1062,1106,1404,1820,1827,1848,2601],[1,2,3
,4,7,10,11,12,13,14,19,21,23,25,36,39,47,57,59,63,65,66,77,84,86,87,89,91,94,
98,103,107,112,113,115,146,150,198,227,246,249,252,263,265,294,300,312,317,324
,462,465,470,517,675,698,706,727,732,1062,1107,1405,1821,1827,1849,2602],[1,2,
3,4,7,10,13,14,16,18,19,21,23,24,25,36,47,58,59,63,65,68,72,79,83,84,85,90,91,
92,94,95,99,100,107,112,114,115,146,150,196,227,240,246,252,266,268,293,294,
310,314,315,321,322,328,461,463,465,516,680,699,705,706,730,731,732,1062,1108,
1407,1821,1828,1848,2603],[1,2,3,4,7,10,13,14,16,18,19,21,23,24,25,36,47,58,59
,63,65,68,72,79,83,84,85,90,91,92,94,95,99,100,107,112,114,115,146,150,196,227
,240,246,252,266,268,293,294,310,314,315,321,322,328,461,463,466,517,680,699,
705,706,730,731,732,1062,1109,1407,1820,1828,1849,2604],[1,2,3,4,8,9,11,12,13,
14,17,19,21,23,24,25,37,38,46,49,50,57,63,66,69,75,78,81,82,86,89,90,91,99,102
,103,104,110,113,114,145,148,192,218,238,242,247,254,259,265,273,286,300,303,
305,326,329,330,469,471,472,513,685,687,691,695,721,723,724,1059,1114,1395,
1825,1829,1847,2605],[1,2,3,4,8,9,11,12,13,14,15,16,17,18,21,50,52,54,55,57,58
,59,60,61,64,67,68,69,70,145,148,152,218,222,223,224,225,226,229,232,233,234,
667,669,670,1059,1064,1065,1387,2606],[1,2,3,4,6,9,11,12,13,14,15,16,17,18,21,
44,50,52,54,55,57,58,59,60,61,64,67,68,69,70,141,144,156,218,222,223,224,225,
226,229,232,233,234,507,510,667,669,670,1043,1045,1058,1387,1902,2607],[1,2,3,
4,7,9,11,12,13,14,15,16,17,18,21,47,50,52,54,55,57,58,59,60,61,64,67,68,69,70,
149,150,167,218,222,223,224,225,226,229,232,233,234,515,516,517,518,667,669,
670,1056,1057,1061,1387,1905,2608],[1,2,3,4,5,9,10,12,13,14,15,16,17,19,20,22,
23,28,32,40,41,50,51,52,53,54,55,56,62,63,64,65,71,73,74,75,76,77,79,80,81,101
,108,109,110,139,155,160,168,173,179,180,219,221,227,228,229,230,231,258,280,
281,282,283,284,285,286,287,288,289,290,332,339,340,445,449,500,502,521,536,
556,557,665,668,734,743,763,764,765,766,767,1041,1047,1069,1071,1072,1078,1125
,1414,1840,1875,1876,1877,2609],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,19,20,21,
22,23,28,32,40,41,50,51,52,53,54,55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,
76,77,79,80,81,87,92,101,106,107,108,109,110,139,153,160,162,168,173,174,179,
180,190,218,221,228,229,230,231,232,233,234,258,261,262,263,268,269,270,271,
272,275,278,279,281,283,284,285,286,287,290,331,337,338,340,445,449,500,502,
522,528,557,559,560,667,668,737,742,757,758,759,760,761,762,767,1039,1047,1051
,1069,1071,1072,1078,1083,1089,1126,1417,1841,1874,1877,1888,1889,2610],[1,2,3
,4,6,9,10,12,13,14,15,16,17,19,20,22,23,29,31,33,35,42,44,45,50,51,52,53,54,55
,56,62,63,64,65,71,73,74,75,76,77,79,80,81,101,108,109,110,140,159,163,165,172
,177,178,184,185,186,187,189,195,219,221,227,228,229,230,231,258,280,281,282,
283,284,285,286,287,288,289,290,332,339,340,446,448,452,453,501,504,505,527,
547,548,549,550,561,562,665,668,734,743,763,764,765,766,767,1048,1049,1050,
1070,1073,1074,1075,1076,1077,1080,1081,1082,1135,1414,1843,1882,1883,1884,
1885,1886,1887,2611],[1,2,3,4,6,9,10,11,12,13,14,15,16,17,19,20,21,22,23,29,31
,33,35,42,44,45,50,51,52,53,54,55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,76
,77,79,80,81,87,92,101,106,107,108,109,110,140,156,165,166,172,182,183,184,185
,186,187,188,189,218,221,228,229,230,231,232,233,234,258,261,262,263,268,269,
270,271,272,275,278,279,281,283,284,285,286,287,290,331,337,338,340,446,448,
452,453,501,504,505,526,549,551,552,553,554,555,667,668,737,742,757,758,759,
760,761,762,767,1040,1049,1053,1070,1073,1074,1075,1076,1079,1080,1085,1086,
1134,1417,1842,1873,1878,1879,1880,1881,1887,2612],[1,2,3,4,6,9,11,12,13,14,15
,16,17,18,21,24,25,29,31,33,35,42,44,45,49,50,52,54,55,57,58,59,60,61,64,66,67
,68,69,70,72,78,82,83,84,85,86,89,90,91,94,95,102,105,111,113,114,115,144,156,
165,166,172,182,183,184,185,186,187,188,189,220,222,223,225,226,229,232,233,
235,259,274,296,297,298,300,301,302,303,304,305,306,307,308,309,310,311,312,
313,314,315,333,341,342,343,450,451,459,460,503,509,510,526,549,551,552,553,
554,555,666,669,736,744,745,746,747,748,749,753,768,1043,1054,1055,1084,1090,
1091,1092,1093,1094,1099,1100,1101,1102,1134,1416,1839,1892,1893,1894,1895,
1897,1899,2613],[1,2,3,4,5,9,11,12,13,14,15,16,17,21,22,23,24,25,40,41,50,52,
54,55,57,64,67,68,69,70,100,101,103,104,105,106,107,108,109,110,111,112,139,
153,160,162,199,201,218,229,232,233,234,237,243,244,247,251,331,333,334,335,
336,337,338,340,500,502,522,613,616,667,735,737,788,791,792,794,1039,1047,1051
,1115,1117,1183,1419,1841,1970,1971,2614],[1,2,4,5,10,11,12,13,19,23,24,40,41,
49,51,57,65,77,78,82,87,96,100,102,107,155,157,158,160,162,205,207,219,239,240
,257,259,263,316,520,521,523,524,571,573,577,578,611,618,620,622,671,689,718,
1066,1217,1219,1226,1228,1229,1271,1389,1907,1923,1959,2615],[1,2,4,5,9,10,11,
12,13,22,24,40,41,49,50,51,57,73,74,78,82,96,100,101,102,153,155,157,160,162,
206,207,218,236,237,238,257,258,259,316,520,521,522,524,569,573,576,577,611,
618,619,622,671,687,688,716,717,1067,1217,1225,1226,1231,1232,1233,1271,1388,
1907,1922,1925,1957,1958,2616],[1,2,3,4,6,9,11,12,13,14,15,16,17,21,24,25,31,
33,44,49,50,52,54,55,57,64,66,67,68,69,70,78,82,85,86,89,90,91,102,105,113,114
,141,144,184,218,220,229,232,233,234,238,254,255,259,274,300,301,302,303,304,
305,343,451,459,507,510,667,687,691,692,693,768,796,1058,1093,1427,1817,1819,
1902,2617],[1,2,3,4,6,9,11,12,13,14,15,16,17,18,21,25,33,44,50,52,54,55,57,60,
64,66,67,68,69,70,72,83,84,86,91,94,95,111,113,115,141,144,182,218,229,232,233
,234,235,254,256,297,300,307,308,309,310,311,341,459,507,510,667,691,713,714,
747,797,1058,1102,1428,1819,1902,2618],[1,2,3,4,7,10,13,14,15,16,18,19,21,25,
36,47,51,58,59,60,62,63,64,65,68,91,94,95,103,111,112,146,150,196,219,223,227,
228,252,264,293,294,295,297,334,465,466,514,515,665,705,706,751,790,1062,1110,
1421,1820,1821,1903,2619],[1,2,3,4,7,11,12,13,14,15,16,17,18,21,24,25,36,47,54
,55,57,58,59,60,61,64,66,67,68,69,70,72,83,84,85,86,90,91,94,95,102,105,111,
113,114,115,149,150,196,224,225,226,233,234,235,238,254,255,256,297,298,300,
302,306,307,308,309,310,311,314,315,341,343,463,465,466,515,516,517,518,670,
692,713,714,715,746,747,796,798,1061,1108,1109,1110,1429,1823,1905,2620],[1,2,
3,4,7,11,12,13,14,15,16,17,18,21,24,25,36,39,47,49,54,55,57,58,59,60,61,64,66,
67,68,69,70,78,82,83,84,85,86,89,90,91,94,95,102,105,111,113,114,115,149,150,
198,220,224,225,226,233,234,254,255,256,259,274,296,300,301,302,303,304,305,
307,308,311,312,313,341,343,462,463,465,466,515,516,517,518,670,693,712,713,
714,715,745,768,797,798,1061,1106,1107,1112,1430,1822,1823,1905,2621],[1,2,3,4
,6,9,11,12,13,14,15,16,17,19,20,21,23,25,35,44,50,52,53,54,55,56,57,63,64,67,
68,69,70,71,75,81,87,89,92,94,95,103,106,107,110,111,112,141,144,188,218,229,
230,232,233,234,242,247,250,251,262,265,269,271,272,275,286,295,296,299,334,
337,457,460,507,510,667,695,707,710,752,760,789,794,1058,1099,1104,1424,1824,
1902,2622],[1,2,3,4,6,9,10,11,12,13,14,15,16,17,19,21,22,23,24,25,29,35,44,50,
51,52,54,55,57,62,63,64,65,67,68,69,70,73,74,75,76,77,79,80,81,82,89,90,91,100
,101,103,104,105,108,109,110,141,144,189,218,228,229,232,233,234,236,237,242,
243,244,245,247,257,258,264,265,266,273,274,281,283,284,285,286,287,290,336,
340,447,450,457,460,507,510,667,688,694,695,696,700,701,756,767,784,788,1058,
1090,1098,1432,1818,1824,1902,2623],[1,2,3,4,7,10,11,12,13,14,15,16,17,19,21,
23,24,25,36,39,47,51,55,57,62,63,64,65,67,68,69,70,77,79,82,87,89,90,91,92,100
,103,104,105,106,107,110,146,150,198,219,227,228,233,239,240,246,249,257,263,
264,265,266,268,271,273,274,279,284,336,337,461,462,463,470,514,515,665,689,
697,698,699,756,759,785,787,1062,1112,1113,1431,1827,1828,1903,2624],[1,2,3,4,
8,9,10,12,13,14,15,16,17,19,20,22,23,24,25,34,38,46,50,51,52,53,54,55,56,62,63
,64,65,71,74,75,76,77,81,87,88,92,93,100,101,103,104,105,106,107,108,109,110,
143,145,147,197,221,228,229,230,231,237,240,241,243,244,247,248,249,260,262,
267,269,271,272,275,276,277,280,282,286,288,289,290,336,337,340,454,455,456,
464,468,471,508,511,512,668,690,702,703,704,755,760,766,786,787,788,1060,1087,
1088,1111,1433,1826,1830,1904,2625],[1,2,3,4,5,10,11,12,13,14,15,16,17,19,21,
24,25,28,30,32,40,41,49,51,55,57,62,63,64,65,66,67,68,69,70,78,82,85,86,89,90,
91,96,99,100,102,103,104,105,113,114,155,157,160,162,169,170,171,173,175,176,
180,181,202,207,220,228,233,257,259,264,265,266,273,274,300,301,302,303,304,
305,316,326,327,328,329,330,336,343,344,490,492,495,520,521,524,533,538,539,
540,542,543,544,545,546,556,573,577,587,588,594,601,606,611,612,614,618,622,
624,671,684,685,686,756,768,829,1121,1122,1129,1136,1157,1158,1159,1179,1180,
1196,1197,1204,1205,1217,1226,1236,1244,1247,1255,1267,1268,1269,1271,1273,
1274,1408,1907,1966,1967,1993,2010,2039,2059,2626],[1,2,4,5,10,11,12,13,19,23,
24,28,32,40,41,49,51,57,65,77,78,82,87,96,100,102,107,155,157,160,162,168,173,
179,180,201,207,219,239,240,257,259,263,316,482,494,520,521,524,536,556,557,
573,577,611,616,618,622,671,689,718,1125,1185,1206,1217,1226,1264,1271,1389,
1907,1988,1990,2627],[1,2,3,4,5,10,11,12,13,14,15,16,17,21,23,24,25,30,32,40,
41,49,51,54,55,57,69,70,77,78,79,82,86,89,96,100,102,110,113,155,157,160,162,
170,171,174,175,176,181,201,202,207,234,242,243,254,255,257,259,284,303,316,
476,485,492,495,520,521,524,531,532,545,546,573,577,611,614,615,618,622,671,
693,696,719,721,1128,1186,1190,1205,1209,1217,1226,1258,1265,1271,1392,1907,
1982,1989,1991,1992,2628],[1,2,4,6,10,11,12,13,19,23,24,42,44,49,51,57,65,77,
78,82,87,96,100,102,107,140,144,163,219,239,240,257,259,263,316,501,503,505,
565,671,689,718,1050,1389,1832,2629],[1,2,4,8,10,11,12,13,19,23,24,43,46,49,51
,57,65,77,78,82,87,96,100,102,107,143,148,164,219,239,240,257,259,263,316,506,
508,513,566,671,689,718,1052,1389,1833,2630],[1,2,4,6,10,11,12,13,19,20,22,23,
24,31,35,42,49,51,57,71,74,76,77,78,82,87,88,96,100,102,108,116,140,144,178,
257,259,260,261,280,316,346,352,358,362,448,452,501,503,565,671,769,778,813,
821,1082,1275,1435,1832,2631],[1,2,4,8,10,11,12,13,19,20,22,23,24,34,38,46,49,
51,57,71,74,76,77,78,82,87,88,96,100,102,108,116,143,148,197,257,259,260,261,
280,316,346,352,358,362,454,464,508,513,566,671,769,778,813,821,1111,1276,1435
,1833,2632],[1,3,4,8,14,18,20,21,24,25,34,38,46,53,58,72,84,85,88,90,93,94,96,
97,104,114,116,117,147,152,197,276,291,314,319,327,348,354,356,358,359,363,365
,456,468,512,519,566,567,673,771,781,815,819,822,824,1088,1276,1278,1440,1835,
2633],[1,3,4,8,14,18,20,21,24,25,34,38,46,53,59,72,83,85,88,90,93,95,96,98,104
,114,116,117,147,152,197,276,292,315,320,327,348,354,356,358,360,363,364,456,
468,512,519,566,568,672,770,782,815,820,823,824,1088,1276,1277,1441,1834,2634]
,[1,2,3,4,8,10,12,13,16,18,19,20,21,22,23,25,34,38,46,51,68,71,72,74,77,80,83,
84,91,92,93,97,98,103,108,115,117,143,152,197,264,267,270,280,310,317,318,350,
355,359,360,364,365,454,464,508,519,567,568,674,774,780,817,818,826,827,1111,
1277,1278,1444,1836,2635],[1,2,3,4,5,9,12,13,14,15,16,17,22,23,24,25,40,41,50,
52,54,55,64,100,101,103,104,105,108,109,110,111,112,139,160,199,201,207,229,
237,243,244,247,333,334,335,336,340,346,348,350,500,502,613,618,735,738,740,
777,788,1047,1115,1117,1141,1191,1474,1908,1970,2636],[1,2,3,4,5,9,12,13,14,15
,16,17,22,23,24,25,40,41,50,52,54,55,64,100,101,103,104,105,106,107,108,109,
110,111,112,139,160,199,201,206,229,237,243,244,247,251,331,334,336,337,338,
340,347,349,351,500,502,613,616,619,737,739,741,776,777,788,794,1047,1115,1117
,1139,1192,1475,1910,1970,1971,2637],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,18,
19,20,21,24,25,40,41,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,
70,71,82,89,90,91,94,95,100,103,104,105,111,112,139,155,157,160,162,207,221,
222,223,225,226,228,229,230,231,232,233,257,264,265,266,273,274,291,292,293,
294,295,296,297,298,299,333,334,335,336,500,502,521,524,577,618,668,669,735,
750,751,752,753,754,756,1041,1042,1047,1051,1141,1217,1415,1840,1844,1908,1956
,2638],[1,2,3,4,5,9,11,12,13,14,15,16,17,18,21,24,25,40,41,49,50,52,54,55,57,
58,59,60,61,64,66,67,68,69,70,72,78,82,83,84,85,86,89,90,91,94,95,102,105,111,
113,114,115,139,157,160,162,207,220,222,223,225,226,229,232,233,235,259,274,
296,297,298,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,
333,341,342,343,500,502,520,524,573,577,622,666,669,736,744,745,746,747,748,
749,753,768,1042,1047,1051,1141,1226,1416,1838,1844,1909,1949,1956,2639],[1,2,
3,4,5,9,10,11,12,13,14,15,16,17,19,20,21,22,23,40,41,50,51,52,53,54,55,56,57,
62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,87,92,101,106,107,108,109,
110,139,153,155,160,162,206,218,221,228,229,230,231,232,233,234,258,261,262,
263,268,269,270,271,272,275,278,279,281,283,284,285,286,287,290,331,337,338,
340,500,502,521,522,569,576,619,667,668,737,742,757,758,759,760,761,762,767,
1039,1041,1047,1051,1139,1225,1417,1840,1841,1910,1948,1955,2640],[1,2,3,4,6,9
,10,12,13,14,15,16,17,19,20,22,23,42,44,45,50,51,52,53,54,55,56,62,63,64,65,71
,73,74,75,76,77,79,80,81,101,108,109,110,140,156,159,163,165,166,208,209,219,
221,227,228,229,230,231,258,280,281,282,283,284,285,286,287,288,289,290,332,
339,340,501,504,505,526,527,574,575,581,582,623,665,668,734,743,763,764,765,
766,767,1040,1048,1049,1050,1053,1140,1144,1227,1414,1842,1843,1911,1947,1952,
1953,1954,2641],[1,2,3,4,5,9,11,12,13,14,15,16,17,18,21,22,23,40,41,50,52,54,
55,57,58,59,60,61,64,67,68,69,70,101,106,107,108,109,110,139,157,160,162,206,
222,223,225,226,229,232,233,236,242,245,250,331,337,338,340,500,502,524,619,
669,737,784,789,793,1042,1047,1051,1139,1231,1418,1844,1910,2642],[1,2,3,4,5,9
,11,12,13,14,15,16,17,21,22,23,24,25,40,41,50,52,54,55,57,64,67,68,69,70,100,
101,103,104,105,106,107,108,109,110,111,112,139,153,160,162,206,207,218,229,
232,233,234,237,243,244,247,251,331,333,334,335,336,337,338,340,500,502,522,
618,619,667,735,737,788,791,792,794,1039,1047,1051,1139,1141,1232,1419,1841,
1908,1910,2643],[1,2,3,4,5,9,11,12,13,14,15,16,17,18,21,24,25,40,41,50,52,54,
55,57,58,59,60,61,64,67,68,69,70,102,105,111,113,114,115,139,157,160,162,207,
222,223,225,226,229,232,233,238,254,255,256,333,341,342,343,500,502,524,622,
669,736,796,797,798,1042,1047,1051,1141,1233,1420,1844,1909,2644],[1,2,3,4,6,
10,11,12,13,14,15,16,17,19,21,24,25,42,44,45,49,51,55,57,62,63,64,65,66,67,68,
69,70,78,82,85,86,89,90,91,96,99,100,102,103,104,105,113,114,140,144,165,220,
228,233,257,259,264,265,266,273,274,300,301,302,303,304,305,316,326,327,328,
329,330,336,343,344,501,503,504,505,509,510,565,671,684,685,686,756,768,829,
1049,1055,1282,1408,1832,2645],[1,2,3,4,5,9,12,13,14,15,16,17,19,20,23,24,25,
32,40,41,50,52,53,54,55,56,63,64,71,75,81,87,88,92,93,100,103,104,105,106,107,
110,111,112,139,160,174,180,190,207,229,230,253,260,262,267,269,271,272,275,
276,277,286,333,334,335,336,337,349,449,500,502,559,608,618,735,739,755,760,
795,807,808,1047,1072,1083,1089,1141,1246,1466,1888,1908,1940,2646],[1,2,3,4,5
,9,10,12,13,14,15,16,17,19,20,22,23,28,32,40,41,50,51,52,53,54,55,56,62,63,64,
65,71,73,74,75,76,77,79,80,81,87,92,101,106,107,108,109,110,139,160,168,173,
174,179,180,190,206,228,229,230,239,241,246,248,258,262,269,271,272,275,280,
281,282,283,284,285,286,287,288,289,290,331,337,338,340,347,351,445,449,500,
502,557,559,597,607,619,737,741,760,766,767,785,786,799,801,803,805,1047,1069,
1071,1072,1078,1083,1089,1139,1254,1467,1877,1888,1910,1934,1939,2647],[1,2,3,
4,6,10,11,12,13,14,15,16,17,19,20,21,22,23,31,33,35,42,44,45,51,53,54,55,56,57
,62,63,64,65,67,68,69,70,71,74,76,77,79,80,81,87,92,101,106,107,108,109,110,
140,165,177,178,182,183,186,187,188,195,208,209,228,230,233,236,241,242,245,
248,261,263,268,270,271,278,279,280,282,284,285,288,289,290,332,337,339,340,
347,351,448,452,453,501,504,505,548,553,602,603,604,609,623,734,741,758,759,
766,784,786,800,802,804,806,1049,1074,1075,1077,1079,1081,1082,1085,1086,1140,
1144,1256,1468,1879,1885,1911,1935,1936,1937,1938,2648],[1,2,3,4,5,9,10,12,13,
14,15,16,17,19,20,23,25,40,41,50,51,52,53,54,55,56,62,63,64,65,71,103,106,107,
110,111,112,139,155,160,201,221,228,229,230,231,239,246,247,251,252,253,334,
337,500,502,521,616,668,785,790,794,795,1041,1047,1117,1185,1490,1840,1971,
2649],[1,2,4,5,9,10,11,12,13,19,20,22,23,24,28,32,40,50,51,57,65,71,73,74,75,
76,77,82,87,88,100,101,107,108,139,153,155,168,173,174,199,206,218,219,221,236
,237,239,240,241,257,258,260,261,262,263,280,281,282,331,332,346,347,445,449,
474,479,500,528,536,569,586,597,688,689,690,742,743,769,799,800,809,1039,1041,
1069,1078,1083,1115,1139,1156,1456,1851,1852,1874,1875,1913,1934,1948,2650],[1
,2,4,6,9,10,11,12,13,19,20,22,23,24,29,31,35,42,44,50,51,57,65,71,73,74,75,76,
77,82,87,88,100,101,107,108,140,156,163,172,177,178,188,189,200,209,218,219,
221,236,237,239,240,241,257,258,260,261,262,263,280,281,282,331,332,346,347,
446,448,452,480,481,501,505,551,562,575,592,604,688,689,690,742,743,769,799,
800,809,1040,1050,1070,1079,1080,1081,1082,1116,1140,1160,1456,1853,1854,1873,
1882,1912,1935,1947,2651],[1,2,3,4,6,9,10,12,13,15,16,17,19,20,21,22,23,25,31,
33,35,42,44,50,51,52,55,56,62,65,68,70,71,73,74,75,76,77,79,80,81,87,91,92,93,
101,103,106,107,108,109,110,140,156,163,178,182,184,187,195,204,209,219,221,
231,232,239,241,244,245,247,248,249,258,262,264,267,268,270,272,275,278,279,
280,281,282,283,284,287,288,331,332,338,339,347,350,351,448,452,453,488,497,
501,505,550,552,575,591,603,697,701,702,703,743,757,761,765,774,799,803,804,
806,810,812,1040,1050,1075,1076,1077,1082,1085,1118,1140,1166,1460,1860,1862,
1878,1886,1917,1936,1947,2652],[1,2,3,4,6,10,11,12,13,14,15,16,17,19,20,21,22,
23,24,31,33,35,42,44,45,51,54,55,56,57,62,65,69,70,71,74,76,77,79,80,81,82,87,
88,92,100,106,107,108,109,110,140,163,166,178,183,184,186,187,188,195,200,208,
219,231,234,239,240,242,243,248,257,260,261,263,269,272,278,279,280,284,287,
288,290,338,339,346,351,448,452,453,481,487,501,504,505,550,555,581,590,609,
689,696,704,762,765,769,802,803,811,1050,1053,1074,1075,1076,1077,1079,1082,
1086,1116,1144,1164,1458,1854,1864,1880,1886,1916,1938,1952,2653],[1,2,3,4,6,9
,10,12,13,15,16,17,19,20,21,22,23,25,29,31,33,35,42,44,45,50,51,52,55,56,62,65
,68,70,71,73,74,75,76,77,79,80,81,87,91,92,93,101,103,106,107,108,109,110,140,
163,166,172,177,178,182,183,185,189,204,208,219,221,231,232,239,241,244,245,
247,248,249,258,262,264,267,268,270,272,275,278,279,280,281,282,283,284,287,
288,331,332,338,339,347,350,351,446,448,452,453,488,489,501,504,505,554,562,
581,595,602,697,701,702,703,743,757,761,765,774,799,803,804,806,810,812,1050,
1053,1070,1073,1080,1081,1082,1085,1086,1118,1144,1165,1460,1861,1862,1881,
1882,1915,1937,1952,2654],[1,2,3,4,6,9,10,12,13,14,15,16,17,19,20,21,22,23,24,
31,33,44,50,52,55,56,62,63,65,68,70,71,73,74,75,76,77,79,80,81,87,88,90,92,100
,101,106,107,108,109,110,140,156,159,177,182,184,200,208,221,227,231,232,237,
240,241,243,245,246,248,260,262,266,268,270,272,275,278,279,281,282,283,285,
286,287,288,289,331,332,338,339,346,347,351,448,453,480,486,505,547,552,574,
590,602,690,699,700,704,757,761,763,764,772,801,804,805,806,809,811,1040,1048,
1076,1081,1085,1116,1144,1161,1461,1853,1859,1878,1883,1916,1937,1954,2655],[1
,2,4,6,9,10,11,12,13,14,19,20,22,23,25,29,35,44,50,57,63,65,71,73,75,76,77,81,
87,89,93,103,107,108,110,140,156,159,188,189,195,204,208,218,221,227,242,246,
247,248,249,261,262,263,265,267,281,286,288,289,331,339,350,351,446,452,497,
498,505,551,561,574,595,609,695,698,703,742,764,773,801,802,810,1040,1048,1077
,1079,1080,1118,1144,1181,1457,1860,1863,1873,1884,1915,1938,1954,2656],[1,2,3
,4,6,10,11,12,13,14,15,16,17,19,20,21,22,23,25,31,33,35,44,45,54,55,56,57,62,
63,65,69,70,71,74,76,77,79,80,81,87,89,92,93,101,103,106,107,108,109,140,159,
166,177,183,184,186,188,204,209,227,231,234,236,241,244,246,249,261,263,265,
267,269,272,278,279,282,285,287,289,290,332,338,347,350,448,452,453,489,498,
504,505,547,555,582,591,604,694,698,702,762,763,773,800,805,812,1048,1053,1074
,1076,1079,1081,1086,1118,1140,1162,1459,1861,1863,1880,1883,1917,1935,1953,
2657],[1,2,3,4,6,9,10,12,13,14,15,16,17,19,20,21,22,23,24,29,33,35,44,45,50,52
,55,56,62,63,65,68,70,71,73,74,75,76,77,79,80,81,87,88,90,92,100,101,106,107,
108,109,110,140,159,166,182,183,185,189,195,200,209,221,227,231,232,237,240,
241,243,245,246,248,260,262,266,268,270,272,275,278,279,281,282,283,285,286,
287,288,289,331,332,338,339,346,347,351,446,452,453,486,487,504,505,554,561,
582,592,603,690,699,700,704,757,761,763,764,772,801,804,805,806,809,811,1048,
1053,1073,1077,1080,1085,1086,1116,1140,1163,1461,1859,1864,1881,1884,1912,
1936,1953,2658],[1,2,3,4,5,9,10,12,13,15,16,17,19,20,21,22,23,25,28,32,40,41,
50,51,52,55,56,62,65,68,70,71,73,74,75,76,77,79,80,81,87,91,92,93,101,103,106,
107,108,109,110,139,155,162,168,173,174,179,190,201,206,219,221,231,232,239,
241,244,245,247,248,249,258,262,264,267,268,270,272,275,278,279,280,281,282,
283,284,287,288,331,332,338,339,347,350,351,445,449,482,485,500,502,536,560,
576,593,597,697,701,702,703,743,757,761,765,774,799,803,804,806,810,812,1041,
1051,1069,1071,1078,1083,1089,1117,1139,1169,1460,1857,1858,1875,1889,1914,
1934,1955,2659],[1,2,4,5,9,10,11,12,13,14,19,20,22,23,25,28,32,40,50,57,63,65,
71,73,75,76,77,81,87,89,93,103,107,108,110,139,153,155,173,174,180,201,206,218
,221,227,242,246,247,248,249,261,262,263,265,267,281,286,288,289,331,339,350,
351,445,449,484,485,500,528,556,569,593,607,695,698,703,742,764,773,801,802,
810,1039,1041,1072,1078,1083,1117,1139,1168,1457,1855,1858,1874,1876,1914,1939
,1948,2660],[1,2,3,4,5,9,10,12,13,14,15,16,17,19,20,21,22,23,24,28,32,40,41,50
,52,55,56,62,63,65,68,70,71,73,74,75,76,77,79,80,81,87,88,90,92,100,101,106,
107,108,109,110,139,155,162,173,174,179,180,190,199,206,221,227,231,232,237,
240,241,243,245,246,248,260,262,266,268,270,272,275,278,279,281,282,283,285,
286,287,288,289,331,332,338,339,346,347,351,445,449,479,483,500,502,556,560,
576,586,607,690,699,700,704,757,761,763,764,772,801,804,805,806,809,811,1041,
1051,1071,1072,1078,1083,1089,1115,1139,1167,1461,1852,1856,1876,1889,1913,
1939,1955,2661],[1,2,4,6,9,10,11,12,13,14,19,20,22,23,25,29,35,44,50,57,63,65,
71,73,75,76,77,81,87,89,93,103,107,108,110,141,156,159,188,189,195,204,208,218
,221,227,242,246,247,248,249,261,262,263,265,267,281,286,288,289,331,339,350,
351,447,457,497,498,507,551,561,574,595,609,695,698,703,742,764,773,801,802,
810,1045,1046,1098,1103,1104,1119,1142,1181,1457,1866,1867,1890,1891,1918,1942
,1950,2662],[1,2,3,4,8,9,10,12,13,15,16,17,19,20,21,22,23,25,34,37,38,43,46,50
,51,52,55,56,62,65,68,70,71,73,74,75,76,77,79,80,81,87,91,92,93,101,103,106,
107,108,109,110,143,154,164,191,192,193,194,197,203,210,219,221,231,232,239,
241,244,245,247,248,249,258,262,264,267,268,270,272,275,278,279,280,281,282,
283,284,287,288,331,332,338,339,347,350,351,454,458,464,496,499,506,508,558,
564,580,596,610,697,701,702,703,743,757,761,765,774,799,803,804,806,810,812,
1044,1052,1095,1096,1097,1105,1111,1120,1143,1182,1460,1868,1869,1896,1898,
1919,1941,1951,2663],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,19,20,21,22,23,28,30
,32,40,41,50,51,52,53,54,55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79
,80,81,87,92,101,106,107,108,109,110,153,155,157,158,160,161,162,168,169,170,
171,173,174,175,176,179,180,181,190,199,201,205,206,218,221,228,229,230,231,
232,233,234,258,261,262,263,268,269,270,271,272,275,278,279,281,283,284,285,
286,287,290,331,337,338,340,474,475,476,477,479,482,483,484,491,494,522,523,
524,525,528,529,530,531,532,533,534,535,536,537,538,539,541,543,544,545,546,
557,559,560,569,570,571,572,578,583,584,585,586,589,597,598,599,600,605,613,
616,620,621,667,668,737,742,757,758,759,760,761,762,767,1067,1068,1123,1126,
1127,1128,1129,1130,1131,1132,1133,1137,1145,1146,1147,1148,1149,1150,1151,
1156,1170,1172,1173,1174,1175,1176,1178,1183,1198,1199,1201,1202,1206,1207,
1208,1212,1219,1220,1221,1223,1237,1238,1239,1240,1248,1249,1250,1253,1417,
1871,1872,1920,1930,1932,1943,1944,1995,1996,1997,1998,1999,2000,2001,2005,
2664],[1,2,3,4,5,9,10,12,13,14,15,16,17,19,20,22,23,28,30,32,40,41,50,51,52,53
,54,55,56,62,63,64,65,71,73,74,75,76,77,79,80,81,101,108,109,110,153,155,158,
160,161,162,168,169,170,171,173,174,175,176,179,180,190,199,201,205,206,219,
221,227,228,229,230,231,258,280,281,282,283,284,285,286,287,288,289,290,332,
339,340,474,475,476,477,478,479,482,483,484,485,521,522,523,525,528,529,530,
531,532,533,534,535,536,537,538,539,540,541,556,557,559,560,569,570,571,572,
576,583,584,585,586,593,597,598,599,600,607,613,615,619,621,665,668,734,743,
763,764,765,766,767,1066,1068,1122,1123,1124,1125,1126,1130,1131,1132,1133,
1138,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1167,1168,
1169,1184,1202,1203,1209,1210,1211,1212,1213,1214,1222,1223,1224,1225,1240,
1241,1242,1243,1251,1252,1253,1254,1414,1870,1872,1921,1931,1933,1945,1946,
2002,2003,2004,2005,2006,2007,2008,2009,2665],[1,2,3,4,5,9,11,12,13,14,15,16,
17,21,24,25,28,30,32,40,41,49,50,52,54,55,57,64,66,67,68,69,70,78,82,85,86,89,
90,91,102,105,113,114,153,157,160,162,169,170,171,173,174,175,176,181,202,207,
218,220,229,232,233,234,238,254,255,259,274,300,301,302,303,304,305,343,490,
492,495,520,522,524,528,529,531,532,533,539,542,543,544,545,546,573,577,587,
594,601,606,614,622,667,687,691,692,693,768,796,1067,1121,1127,1128,1129,1130,
1157,1158,1159,1180,1190,1204,1205,1226,1233,1244,1255,1265,1427,1871,1922,
1926,1965,1980,1989,2010,2666],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,19,21,22,
23,24,25,28,30,32,40,41,50,51,52,54,55,57,62,63,64,65,67,68,69,70,73,74,75,76,
77,79,80,81,82,89,90,91,100,101,103,104,105,108,109,110,153,155,157,160,162,
169,170,171,173,174,175,176,180,181,201,202,206,207,218,228,229,232,233,234,
236,237,242,243,244,245,247,257,258,264,265,266,273,274,281,283,284,285,286,
287,290,336,340,476,478,484,485,490,492,521,522,524,528,529,531,532,533,538,
539,540,543,544,545,546,556,569,576,577,584,587,588,593,600,606,607,612,615,
618,619,667,688,694,695,696,700,701,756,767,784,788,1067,1122,1127,1128,1129,
1130,1146,1152,1154,1168,1179,1180,1186,1188,1196,1197,1209,1213,1217,1225,
1231,1232,1236,1242,1247,1252,1258,1259,1261,1432,1871,1925,1928,1961,1962,
1975,1978,1982,1984,1993,2008,2667],[1,2,3,4,5,10,11,12,13,14,15,16,17,19,21,
23,24,25,28,30,32,40,41,51,55,57,62,63,64,65,67,68,69,70,77,79,82,87,89,90,91,
92,100,103,104,105,106,107,110,155,157,158,160,162,168,169,170,171,173,175,176
,179,180,181,201,202,205,207,219,227,228,233,239,240,246,249,257,263,264,265,
266,268,271,273,274,279,284,336,337,476,482,490,491,492,494,521,523,524,533,
536,537,538,539,540,541,543,544,545,546,556,557,571,577,578,585,587,588,589,
598,605,606,612,616,618,620,665,689,697,698,699,756,759,785,787,1066,1122,1123
,1124,1125,1129,1148,1172,1176,1178,1179,1180,1185,1187,1196,1197,1199,1206,
1217,1219,1228,1229,1236,1237,1247,1250,1260,1262,1264,1431,1870,1923,1927,
1960,1963,1974,1979,1987,1988,1993,1997,2668],[1,2,3,4,5,9,10,12,13,14,15,16,
17,19,20,22,23,24,25,28,30,32,40,41,50,51,52,53,54,55,56,62,63,64,65,71,74,75,
76,77,81,87,88,92,93,100,101,103,104,105,106,107,108,109,110,153,155,158,160,
161,162,168,169,170,171,173,174,175,176,179,180,190,201,202,205,206,207,221,
228,229,230,231,237,240,241,243,244,247,248,249,260,262,267,269,271,272,275,
276,277,280,282,286,288,289,290,336,337,340,477,478,482,484,485,491,493,494,
522,523,525,528,529,530,531,532,533,534,535,536,537,538,539,541,557,559,560,
570,572,576,578,579,584,585,587,588,589,593,597,599,605,607,608,612,615,616,
618,619,620,668,690,702,703,704,755,760,766,786,787,788,1068,1123,1126,1130,
1131,1132,1133,1150,1151,1154,1155,1169,1171,1173,1175,1176,1177,1187,1188,
1189,1200,1201,1208,1210,1211,1218,1221,1222,1229,1230,1232,1236,1237,1242,
1246,1248,1254,1257,1258,1260,1261,1263,1264,1433,1872,1924,1929,1962,1963,
1964,1976,1977,1981,1983,1985,1986,1994,1996,2006,2669],[1,2,3,4,5,9,10,12,13,
14,15,16,17,19,22,23,24,25,28,32,40,41,50,51,52,54,55,62,63,64,65,73,74,75,76,
77,79,80,81,100,101,103,104,105,106,107,108,109,110,139,160,168,173,179,180,
199,201,206,228,229,237,240,243,244,247,249,258,281,283,284,285,286,287,290,
331,332,336,337,338,339,340,346,347,350,351,445,449,500,502,557,586,593,613,
619,734,737,740,741,767,787,788,809,810,811,812,1047,1069,1071,1072,1078,1115,
1117,1139,1243,1492,1877,1910,1913,1914,1970,2670],[1,2,3,4,6,9,10,12,13,14,15
,16,17,19,22,23,24,25,29,31,33,35,42,44,45,50,51,52,54,55,62,63,64,65,73,74,75
,76,77,79,80,81,100,101,103,104,105,106,107,108,109,110,140,165,172,184,185,
186,187,189,200,204,208,209,228,229,237,240,243,244,247,249,258,281,283,284,
285,286,287,290,331,332,336,337,338,339,340,346,347,350,351,446,448,452,453,
501,504,505,549,590,591,592,595,617,623,734,737,740,741,767,787,788,809,810,
811,812,1049,1070,1073,1074,1075,1076,1080,1116,1118,1140,1144,1245,1492,1887,
1911,1912,1915,1916,1917,1972,2671],[1,2,4,5,10,11,12,13,19,20,22,23,24,25,32,
40,41,51,57,71,74,76,77,82,87,88,100,107,108,113,155,157,160,162,174,180,190,
199,201,202,205,207,239,254,257,260,261,280,346,479,483,485,494,521,524,559,
577,608,613,614,618,620,718,719,769,1190,1191,1203,1207,1217,1228,1246,1463,
1959,1991,2017,2672],[1,2,4,5,10,11,12,13,19,20,22,23,24,32,40,41,51,57,71,74,
76,77,82,87,88,100,102,107,108,155,157,160,162,174,180,190,199,201,207,238,239
,257,260,261,280,346,479,483,485,494,521,524,559,577,608,613,616,618,622,716,
718,769,1185,1191,1203,1207,1217,1233,1246,1462,1957,1990,2017,2673],[1,2,3,4,
5,10,11,12,13,14,15,16,17,21,23,24,30,32,40,41,51,54,55,57,69,70,77,79,82,100,
107,110,116,155,157,160,162,170,171,174,175,176,181,201,207,234,239,242,243,
257,284,352,476,485,521,524,531,532,545,546,577,615,616,618,626,696,718,778,
1128,1185,1186,1209,1217,1258,1272,1448,1969,1982,1990,2674],[1,2,4,5,10,11,12
,13,19,23,24,25,28,32,40,41,51,57,65,77,82,87,100,107,113,116,155,157,160,162,
168,173,179,180,201,202,207,219,239,240,254,257,263,352,482,494,521,524,536,
556,557,577,614,616,618,626,689,719,778,1125,1185,1190,1206,1217,1264,1272,
1449,1969,1988,1991,2675],[1,2,4,5,10,11,12,13,19,20,22,23,24,40,41,49,51,57,
71,74,76,77,78,82,87,88,96,100,102,108,116,155,157,158,160,161,162,205,206,207
,257,259,260,261,280,316,346,352,358,362,520,521,524,525,571,572,573,576,577,
578,579,611,618,621,622,626,671,769,778,813,821,1217,1218,1220,1224,1226,1234,
1271,1272,1279,1287,1435,1907,1969,2018,2040,2057,2676],[1,2,3,4,5,9,10,12,13,
14,15,16,17,19,22,23,24,25,28,32,40,41,50,51,52,54,55,62,63,64,65,73,74,75,76,
77,79,80,81,100,101,103,104,105,106,107,108,109,110,111,112,139,160,168,173,
179,180,201,207,228,229,240,247,249,251,252,258,281,283,284,285,286,287,290,
333,334,335,336,337,340,445,449,500,502,557,616,618,735,767,776,777,787,790,
794,1047,1069,1071,1072,1078,1117,1141,1264,1478,1877,1908,1971,2677],[1,2,3,4
,5,9,12,13,14,15,16,17,19,20,22,23,25,32,40,41,50,52,53,54,55,56,63,64,71,75,
81,87,92,101,103,106,107,108,109,110,111,112,139,160,174,180,190,201,206,229,
230,241,247,248,251,253,262,269,271,272,275,286,331,334,337,338,340,449,500,
502,559,616,619,737,760,775,776,786,794,795,1047,1072,1083,1089,1117,1139,1263
,1479,1888,1910,1971,2678],[1,2,4,5,9,10,11,12,13,22,23,24,40,41,50,51,57,73,
74,82,100,101,107,116,153,155,157,160,162,201,206,207,218,236,237,239,257,258,
352,521,522,524,569,576,577,616,618,619,625,688,718,778,1067,1185,1217,1225,
1231,1232,1270,1446,1925,1973,1990,2679],[1,2,4,5,10,11,12,13,19,23,24,25,40,
41,51,57,65,77,82,87,100,107,113,116,155,157,158,160,162,202,205,207,219,239,
240,254,257,263,352,521,523,524,571,577,578,614,618,620,625,689,719,778,1066,
1190,1217,1219,1228,1229,1270,1449,1923,1973,1991,2680],[1,2,4,5,9,10,11,12,13
,19,20,22,23,24,28,32,40,41,50,51,57,65,71,73,74,75,76,77,82,87,88,100,101,107
,108,153,155,157,160,162,168,173,174,179,180,190,199,201,206,207,218,219,221,
236,237,239,240,241,257,258,260,261,262,263,280,281,282,331,332,346,347,474,
479,482,483,484,485,494,521,522,524,528,536,556,557,559,560,569,576,577,586,
593,597,607,608,613,616,618,619,688,689,690,742,743,769,799,800,809,1067,1125,
1126,1156,1167,1168,1169,1183,1185,1191,1192,1202,1203,1206,1207,1208,1217,
1225,1231,1232,1243,1246,1254,1263,1264,1456,1925,1944,1981,1988,2009,2017,
2036,2044,2052,2681],[1,2,3,4,5,10,11,12,13,14,15,16,17,19,20,21,22,23,24,30,
32,40,41,51,54,55,56,57,62,65,69,70,71,74,76,77,79,80,81,82,87,88,92,100,106,
107,108,109,110,155,157,158,160,162,170,171,174,175,176,180,181,190,199,201,
205,207,219,231,234,239,240,242,243,248,257,260,261,263,269,272,278,279,280,
284,287,288,290,338,339,346,351,475,476,477,479,483,485,494,521,523,524,531,
532,535,538,545,546,559,571,577,578,583,589,599,605,608,613,615,618,620,689,
696,704,762,765,769,802,803,811,1066,1128,1131,1149,1170,1173,1178,1184,1186,
1191,1195,1203,1207,1209,1210,1212,1217,1219,1228,1229,1238,1246,1248,1257,
1258,1458,1923,1945,1976,1982,1995,2017,2034,2041,2051,2682],[1,2,3,4,5,9,10,
12,13,14,15,16,17,19,20,21,22,23,24,28,30,32,40,41,50,52,55,56,62,63,65,68,70,
71,73,74,75,76,77,79,80,81,87,88,90,92,100,101,106,107,108,109,110,153,155,158
,160,161,162,168,169,170,171,173,174,175,176,179,180,181,190,199,201,205,206,
207,221,227,231,232,237,240,241,243,245,246,248,260,262,266,268,270,272,275,
278,279,281,282,283,285,286,287,288,289,331,332,338,339,346,347,351,474,475,
476,477,478,479,482,483,484,491,522,523,525,529,532,533,534,535,537,540,541,
544,546,556,557,560,570,572,576,578,579,583,586,589,593,598,600,605,606,607,
613,615,616,618,619,620,690,699,700,704,757,761,763,764,772,801,804,805,806,
809,811,1068,1124,1127,1133,1145,1147,1152,1155,1167,1170,1172,1175,1183,1184,
1189,1191,1192,1195,1198,1199,1201,1202,1211,1212,1213,1214,1218,1221,1222,
1229,1230,1232,1238,1243,1247,1250,1252,1258,1259,1262,1264,1461,1924,1943,
1946,1978,1979,1986,1999,2007,2014,2033,2035,2042,2043,2051,2052,2683],[1,2,3,
4,5,10,11,12,13,16,19,21,23,24,25,28,30,32,40,41,51,57,65,66,68,77,79,82,85,86
,87,91,92,99,100,103,107,113,114,155,157,160,162,168,173,175,179,180,181,201,
202,205,207,219,239,240,249,257,263,264,268,300,304,328,329,482,490,494,495,
521,524,536,542,544,556,557,577,594,598,601,605,612,614,616,618,620,624,684,
689,697,718,722,1125,1158,1185,1196,1204,1206,1217,1228,1250,1260,1264,1268,
1273,1394,1959,1966,1974,1988,2054,2684],[1,2,3,4,5,10,11,12,13,14,15,16,17,21
,23,24,25,30,32,40,41,51,54,55,57,66,68,69,70,77,79,82,85,86,90,91,99,100,102,
103,110,113,114,155,157,160,162,170,171,174,175,176,181,201,202,207,234,238,
242,243,255,257,264,284,300,302,304,328,329,476,485,490,495,521,524,531,532,
542,544,545,546,577,594,601,606,612,614,615,618,622,624,684,692,696,716,723,
1128,1158,1186,1196,1204,1209,1217,1233,1255,1258,1265,1268,1273,1391,1957,
1966,1980,1982,2056,2685],[1,2,3,4,5,11,12,13,14,15,16,17,19,21,22,24,25,30,32
,40,41,49,54,55,57,63,66,69,70,76,78,80,82,85,86,89,90,91,99,101,102,103,104,
113,114,157,160,162,170,171,174,175,176,180,181,202,206,207,234,236,238,244,
254,255,259,265,273,285,300,302,303,305,326,329,330,490,492,495,520,524,531,
532,540,542,545,546,573,577,588,594,600,601,606,607,612,614,619,622,624,685,
692,693,694,717,720,724,1128,1159,1179,1190,1197,1204,1205,1226,1231,1233,1252
,1255,1261,1265,1267,1268,1274,1393,1958,1967,1975,1980,1989,2053,2055,2686],[
1,2,3,4,5,9,10,12,13,14,15,16,17,19,20,22,23,24,25,32,40,41,50,51,52,53,54,55,
56,62,63,64,65,71,74,75,76,77,81,87,88,92,93,100,101,103,104,105,106,107,108,
109,110,139,155,160,174,180,190,199,201,221,228,229,230,231,237,240,241,243,
244,247,248,249,260,262,267,269,271,272,275,276,277,280,282,286,288,289,290,
336,337,340,449,479,485,500,502,521,559,613,668,690,702,703,704,755,760,766,
786,787,788,1041,1047,1072,1083,1089,1115,1117,1203,1433,1840,1852,1858,1888,
1970,2687],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,19,21,22,23,24,25,28,32,40,41,
50,51,52,54,55,57,62,63,64,65,67,68,69,70,73,74,75,76,77,79,80,81,82,89,90,91,
100,101,103,104,105,108,109,110,139,153,160,162,168,173,179,180,199,201,218,
228,229,232,233,234,236,237,242,243,244,245,247,257,258,264,265,266,273,274,
281,283,284,285,286,287,290,336,340,445,449,474,482,483,484,500,502,522,557,
613,667,688,694,695,696,700,701,756,767,784,788,1039,1047,1051,1069,1071,1072,
1078,1115,1117,1202,1432,1841,1851,1855,1856,1857,1877,1970,2688],[1,2,3,4,5,9
,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,32,40,41,50,52,53,54,55,56,57,58
,59,60,61,63,64,67,68,69,70,71,75,76,80,81,87,90,92,94,95,100,101,103,104,105,
106,107,108,109,110,139,157,160,162,174,180,190,199,201,222,223,225,226,229,
230,232,233,237,243,244,245,247,250,251,261,262,266,269,270,271,272,275,278,
285,286,291,292,295,298,336,337,340,449,483,494,500,502,524,559,613,669,700,
709,710,711,750,758,760,788,791,793,1042,1047,1051,1072,1083,1089,1115,1117,
1207,1425,1844,1856,1865,1888,1970,2689],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,
18,19,21,22,23,25,28,32,40,41,50,51,52,54,55,57,58,59,60,61,62,63,64,65,67,68,
69,70,73,74,75,76,77,79,80,81,87,91,92,94,95,101,103,106,107,108,109,110,111,
112,139,157,160,162,168,173,179,180,201,222,223,225,226,228,229,232,233,244,
245,247,250,251,258,263,264,268,271,279,281,283,284,285,286,287,290,293,294,
295,297,334,337,340,445,449,482,494,500,502,524,557,616,669,701,708,710,711,
751,759,767,792,793,794,1042,1047,1051,1069,1071,1072,1078,1117,1206,1426,1844
,1857,1865,1877,1971,2690],[1,2,3,4,5,9,11,12,13,14,15,16,17,19,20,21,23,25,32
,40,41,50,52,53,54,55,56,57,63,64,67,68,69,70,71,75,81,87,89,92,94,95,103,106,
107,110,111,112,139,153,160,162,174,180,190,201,218,229,230,232,233,234,242,
247,250,251,262,265,269,271,272,275,286,295,296,299,334,337,449,484,494,500,
502,522,559,616,667,695,707,710,752,760,789,794,1039,1047,1051,1072,1083,1089,
1117,1208,1424,1841,1855,1865,1888,1971,2691],[1,2,3,4,6,9,10,12,13,14,15,16,
17,19,20,22,23,24,25,31,35,42,44,45,50,51,52,53,54,55,56,62,63,64,65,71,74,75,
76,77,81,87,88,92,93,100,101,103,104,105,106,107,108,109,110,140,156,165,166,
177,178,186,195,200,204,221,228,229,230,231,237,240,241,243,244,247,248,249,
260,262,267,269,271,272,275,276,277,280,282,286,288,289,290,336,337,340,448,
452,480,487,489,497,501,504,505,526,548,617,668,690,702,703,704,755,760,766,
786,787,788,1040,1049,1053,1074,1077,1081,1082,1116,1118,1215,1433,1842,1853,
1860,1861,1864,1885,1972,2692],[1,2,3,4,6,10,11,12,13,14,15,16,17,19,21,23,24,
25,33,35,42,44,45,51,55,57,62,63,64,65,67,68,69,70,77,79,82,87,89,90,91,92,100
,103,104,105,106,107,110,140,159,163,165,182,183,187,188,200,204,219,227,228,
233,239,240,246,249,257,263,264,265,266,268,271,273,274,279,284,336,337,452,
453,481,486,488,498,501,504,505,527,553,617,665,689,697,698,699,756,759,785,
787,1048,1049,1050,1075,1079,1085,1086,1116,1118,1216,1431,1843,1854,1859,1862
,1863,1879,1972,2693],[1,2,3,4,5,9,10,11,12,13,16,21,22,24,25,30,40,41,50,51,
57,66,68,73,74,82,85,86,91,99,100,101,103,113,114,153,155,157,160,162,175,181,
202,206,207,218,236,237,254,257,258,264,300,304,328,329,490,495,521,522,524,
542,544,569,576,577,594,601,612,614,618,619,624,684,688,691,719,720,1067,1158,
1190,1196,1204,1217,1225,1231,1232,1268,1273,1390,1925,1926,1966,1991,2053,
2694],[1,2,3,4,5,10,11,12,13,16,19,21,23,24,25,30,40,41,51,57,65,66,68,77,79,
82,85,86,87,91,92,99,100,103,107,113,114,155,157,158,160,162,175,181,201,202,
205,207,219,239,240,249,257,263,264,268,300,304,328,329,476,490,491,495,521,
523,524,542,544,571,577,578,594,601,612,614,616,618,620,624,684,689,697,718,
722,1066,1158,1185,1187,1196,1199,1204,1217,1219,1228,1229,1268,1273,1394,1923
,1927,1966,1990,2054,2695],[1,2,3,4,5,9,11,12,13,14,17,19,21,23,24,25,30,32,40
,41,49,50,57,63,66,69,75,78,81,82,86,89,90,91,99,102,103,104,110,113,114,153,
157,160,162,171,176,180,181,201,202,207,218,238,242,247,254,259,265,273,286,
300,303,305,326,329,330,478,484,490,492,495,520,522,524,540,542,545,573,577,
588,594,606,612,614,615,622,624,685,687,691,695,721,723,724,1067,1159,1179,
1186,1188,1190,1197,1204,1205,1213,1226,1233,1267,1268,1274,1395,1922,1926,
1928,1967,1992,2055,2056,2696],[1,2,3,4,5,10,11,12,13,14,15,16,17,19,21,24,25,
28,30,32,40,41,51,55,57,62,63,64,65,67,68,69,70,82,89,90,91,100,102,103,104,
105,113,114,155,157,160,162,169,170,171,173,175,176,180,181,202,207,228,233,
238,254,255,257,264,265,266,273,274,336,343,490,492,521,524,533,538,539,540,
543,544,545,546,556,577,587,588,594,606,612,614,618,622,716,719,724,756,796,
1122,1129,1179,1180,1190,1196,1197,1217,1233,1236,1244,1247,1265,1487,1957,
1965,1991,1993,2055,2697],[1,2,3,4,5,10,11,12,13,14,15,16,17,19,21,23,24,25,28
,30,32,40,41,51,55,57,62,63,64,65,67,68,69,70,82,89,90,91,100,103,104,105,106,
107,110,155,157,160,162,169,170,171,173,175,176,180,181,201,202,205,207,228,
233,239,246,257,264,265,266,273,274,336,337,490,492,521,524,533,538,539,540,
543,544,545,546,556,577,585,587,588,589,606,612,616,618,620,718,722,756,785,
1122,1129,1179,1180,1185,1196,1197,1217,1228,1236,1237,1247,1262,1488,1959,
1960,1990,1993,2054,2698],[1,2,3,4,5,11,12,13,14,15,16,17,21,22,23,24,25,28,30
,32,40,41,49,55,57,64,66,67,68,69,70,78,82,85,86,89,90,91,101,102,105,108,109,
110,113,114,157,160,162,169,170,171,173,175,176,181,201,202,206,207,220,233,
236,238,242,245,254,255,259,274,300,301,302,303,304,305,340,343,490,492,495,
520,524,533,539,542,543,544,545,546,573,577,584,587,593,594,601,606,614,615,
619,622,717,720,721,723,768,784,796,1121,1129,1157,1158,1159,1180,1186,1190,
1204,1205,1226,1231,1233,1242,1244,1255,1259,1265,1489,1958,1961,1965,1992,
2010,2053,2056,2699],[1,2,4,5,9,10,11,12,13,22,23,24,40,41,50,51,57,73,74,82,
100,101,107,116,153,155,157,160,162,205,206,207,218,236,237,239,257,258,352,
521,522,524,569,576,577,618,619,620,626,688,718,778,1067,1217,1225,1228,1231,
1232,1272,1446,1925,1959,1969,2700],[1,2,4,5,10,11,12,13,19,23,24,40,41,51,57,
65,77,82,87,100,102,107,116,155,157,158,160,162,205,207,219,238,239,240,257,
263,352,521,523,524,571,577,578,618,620,622,626,689,716,778,1066,1217,1219,
1228,1229,1233,1272,1447,1923,1957,1969,2701],[1,2,3,4,5,10,11,12,13,14,15,16,
17,19,20,21,22,23,24,28,30,32,40,41,51,54,55,56,57,62,65,69,70,71,74,76,77,79,
80,81,82,87,88,92,100,106,107,108,109,110,155,157,158,160,161,162,168,169,170,
171,173,174,175,176,179,180,181,190,201,205,206,207,219,231,234,239,240,242,
243,248,257,260,261,263,269,272,278,279,280,284,287,288,290,338,339,346,351,
476,477,478,482,485,491,494,521,524,525,531,532,533,534,535,536,537,545,546,
556,557,560,571,572,576,577,578,579,584,585,589,593,597,598,599,600,615,616,
618,621,689,696,704,762,765,769,802,803,811,1125,1128,1133,1148,1150,1152,1153
,1169,1172,1173,1174,1185,1186,1189,1193,1201,1206,1209,1211,1217,1218,1220,
1224,1234,1239,1241,1253,1258,1264,1458,1982,1986,1988,2001,2002,2018,2024,
2049,2050,2702],[1,2,4,5,10,11,12,13,19,23,24,28,32,40,41,51,57,65,77,82,87,
100,102,107,116,155,157,160,162,168,173,179,180,201,207,219,238,239,240,257,
263,352,482,494,521,524,536,556,557,577,616,618,622,625,689,716,778,1125,1185,
1206,1217,1233,1264,1270,1447,1957,1973,1988,2703],[1,2,3,4,5,10,11,12,13,14,
15,16,17,21,23,24,30,32,40,41,51,54,55,57,69,70,77,79,82,100,107,110,116,155,
157,160,162,170,171,174,175,176,181,201,205,207,234,239,242,243,257,284,352,
476,485,521,524,531,532,545,546,577,615,618,620,625,696,718,778,1128,1186,1209
,1217,1228,1258,1270,1448,1959,1973,1982,2704],[1,2,4,5,10,11,12,13,19,20,22,
23,24,40,41,51,57,71,74,76,77,82,87,88,100,102,107,108,155,157,158,160,161,162
,205,206,207,238,239,257,260,261,280,346,521,524,525,571,572,576,577,578,579,
618,620,621,622,716,718,769,1217,1218,1220,1224,1228,1233,1234,1462,1957,1959,
2018,2705],[1,2,4,5,10,11,12,13,19,20,22,23,24,32,40,41,49,51,57,71,74,76,77,
78,82,87,88,96,100,102,108,116,155,157,160,162,174,180,190,199,201,207,257,259
,260,261,280,316,346,352,358,362,479,483,485,494,520,521,524,559,573,577,608,
611,613,618,622,625,671,769,778,813,821,1191,1203,1207,1217,1226,1246,1270,
1271,1280,1288,1435,1907,1973,2017,2032,2060,2706],[1,2,3,4,5,10,11,12,13,14,
15,16,17,19,21,24,25,28,30,32,40,41,51,55,57,62,63,64,65,67,68,69,70,82,89,90,
91,100,103,104,105,116,155,157,160,162,169,170,171,173,175,176,180,181,202,207
,228,233,257,264,265,266,273,274,336,352,356,357,490,492,521,524,533,538,539,
540,543,544,545,546,556,577,587,588,606,612,618,625,626,756,778,783,835,1122,
1129,1179,1180,1196,1197,1217,1236,1247,1270,1272,1283,1284,1471,1969,1973,
1993,2061,2066,2707],[1,2,3,4,5,9,12,13,14,15,16,17,24,25,40,41,50,52,54,55,64
,100,103,104,105,111,112,116,117,139,160,207,229,333,334,335,336,352,353,354,
355,356,357,500,502,618,625,735,835,836,841,842,1047,1141,1270,1506,1908,2045,
2708],[1,2,3,4,5,9,11,12,13,14,15,16,17,18,21,24,25,40,41,50,52,54,55,60,64,67
,78,82,83,84,85,86,89,90,91,94,95,96,97,98,99,100,102,103,104,105,111,112,113,
114,115,139,157,160,207,222,229,274,296,297,298,301,306,311,316,317,318,319,
320,321,322,323,324,325,326,327,328,329,330,333,334,335,336,341,342,343,344,
345,500,502,573,577,611,618,622,733,735,736,744,753,829,830,831,832,833,834,
1042,1047,1141,1271,1434,1901,1908,1909,1949,1956,2709],[1,2,4,5,9,10,11,12,13
,19,20,22,23,24,40,41,50,51,57,65,71,73,74,75,76,77,82,87,88,100,101,107,108,
153,155,157,158,160,161,162,205,206,207,218,219,221,236,237,239,240,241,257,
258,260,261,262,263,280,281,282,331,332,346,347,521,522,523,524,525,569,570,
571,572,576,577,578,579,618,619,620,621,688,689,690,742,743,769,799,800,809,
1066,1067,1068,1137,1138,1217,1218,1219,1220,1221,1222,1223,1224,1225,1228,
1229,1230,1231,1232,1234,1235,1456,1920,1921,1923,1924,1925,2018,2022,2023,
2026,2710],[1,2,3,4,5,10,11,12,13,16,19,20,21,22,23,24,25,30,32,40,41,51,57,66
,68,71,74,76,77,82,85,86,87,88,91,99,100,103,108,113,114,116,155,157,160,162,
174,175,180,181,190,199,201,202,207,257,260,261,264,280,300,304,328,329,346,
352,361,363,479,483,485,490,494,495,521,524,542,544,559,577,594,601,608,612,
613,614,618,624,626,684,769,778,814,828,1158,1191,1196,1203,1204,1207,1217,
1246,1268,1272,1273,1285,1289,1436,1966,1969,2017,2048,2058,2711],[1,2,3,4,5,
10,11,12,13,16,19,20,21,22,23,24,25,30,40,41,51,57,66,68,71,74,76,77,82,85,86,
87,88,91,99,100,103,108,113,114,116,155,157,158,160,161,162,175,181,202,205,
206,207,257,260,261,264,280,300,304,328,329,346,352,361,363,490,495,521,524,
525,542,544,571,572,576,577,578,579,594,601,612,614,618,621,624,625,684,769,
778,814,828,1158,1196,1204,1217,1218,1220,1224,1234,1268,1270,1273,1281,1286,
1436,1966,1973,2018,2037,2038,2712],[1,2,4,5,10,11,12,13,19,20,22,23,24,25,40,
41,51,57,71,74,76,77,82,87,88,100,107,108,113,155,157,158,160,161,162,201,202,
205,206,207,239,254,257,260,261,280,346,521,524,525,571,572,576,577,578,579,
614,616,618,621,718,719,769,1185,1190,1217,1218,1220,1224,1234,1463,1990,1991,
2018,2713],[1,2,3,4,5,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,28,30,32,40
,41,51,53,54,55,56,57,62,63,64,65,67,68,69,70,71,74,76,77,80,81,82,87,88,89,90
,91,92,93,100,101,103,104,105,108,109,110,155,157,158,160,161,162,169,170,171,
173,174,175,176,179,180,181,190,199,201,202,205,206,207,228,230,233,257,260,
261,264,265,266,267,270,271,273,274,276,277,278,280,282,285,288,289,290,336,
340,346,350,475,478,479,483,485,490,491,492,493,494,521,524,525,530,531,533,
534,535,538,539,540,541,543,544,545,546,556,559,560,571,572,576,577,578,579,
583,584,585,586,587,588,599,600,605,606,607,608,612,613,618,621,740,755,756,
758,766,769,772,773,774,1122,1129,1132,1147,1149,1153,1154,1167,1170,1171,1174
,1176,1177,1179,1180,1191,1194,1196,1197,1198,1200,1203,1207,1214,1217,1218,
1220,1224,1234,1236,1240,1246,1247,1249,1251,1413,1968,1993,1994,1998,2003,
2012,2014,2015,2016,2017,2018,2714],[1,2,3,4,6,9,11,12,13,14,15,16,17,21,24,25
,42,44,45,49,50,52,54,55,57,64,66,67,68,69,70,78,82,85,86,89,90,91,102,105,113
,114,141,144,165,218,220,229,232,233,234,238,254,255,259,274,300,301,302,303,
304,305,343,503,507,509,510,667,687,691,692,693,768,796,1055,1058,1427,1845,
1846,1902,2715],[1,2,3,4,6,9,11,12,13,14,15,16,17,18,21,25,44,45,50,52,54,55,
57,60,64,66,67,68,69,70,72,83,84,86,91,94,95,111,113,115,141,144,166,218,229,
232,233,234,235,254,256,297,300,307,308,309,310,311,341,507,509,510,667,691,
713,714,747,797,1054,1058,1428,1846,1902,2716],[1,2,3,4,7,10,13,14,15,16,18,19
,21,25,47,51,58,59,60,62,63,64,65,68,91,94,95,103,111,112,146,150,167,219,223,
227,228,252,264,293,294,295,297,334,514,515,516,517,665,705,706,751,790,1057,
1062,1421,1848,1849,1903,2717],[1,2,3,4,5,10,11,12,13,14,15,16,17,19,20,21,22,
23,28,30,32,40,41,51,53,54,55,56,57,62,63,64,65,67,68,69,70,71,74,76,77,79,80,
81,87,92,101,106,107,108,109,110,155,157,158,160,161,162,168,169,170,171,173,
174,175,176,179,180,181,190,199,201,205,206,228,230,233,236,241,242,245,248,
261,263,268,270,271,278,279,280,282,284,285,288,289,290,332,337,339,340,347,
351,475,476,477,478,482,483,485,491,494,523,524,525,530,531,533,534,535,536,
537,538,539,541,543,544,545,546,557,559,560,571,572,576,578,583,584,585,586,
589,593,597,598,600,605,607,613,615,616,619,620,621,734,741,758,759,766,784,
786,800,802,804,806,1123,1129,1132,1138,1147,1148,1150,1154,1155,1169,1170,
1172,1174,1176,1178,1184,1186,1189,1192,1193,1195,1198,1199,1206,1207,1210,
1211,1219,1220,1222,1230,1231,1235,1237,1240,1241,1242,1243,1249,1250,1254,
1257,1259,1263,1468,1933,1961,1964,1997,1998,2006,2013,2023,2031,2035,2036,
2041,2042,2047,2049,2718],[1,2,3,4,5,9,10,12,13,14,15,16,17,19,20,22,23,28,30,
32,40,41,50,51,52,53,54,55,56,62,63,64,65,71,73,74,75,76,77,79,80,81,87,92,101
,106,107,108,109,110,153,155,158,160,161,162,169,170,171,173,174,175,176,179,
180,190,199,201,205,206,228,229,230,239,241,246,248,258,262,269,271,272,275,
280,281,282,283,284,285,286,287,288,289,290,331,337,338,340,347,351,476,477,
478,479,483,484,485,491,494,521,522,525,528,529,530,531,532,533,534,535,538,
539,540,541,556,559,560,569,570,571,576,578,583,584,585,586,589,593,599,600,
605,607,613,615,616,619,620,621,737,741,760,766,767,785,786,799,801,803,805,
1122,1130,1132,1137,1146,1149,1151,1152,1153,1154,1167,1168,1173,1175,1176,
1183,1185,1189,1192,1193,1195,1201,1203,1208,1209,1213,1214,1221,1224,1225,
1228,1230,1235,1237,1238,1239,1240,1242,1248,1251,1252,1257,1262,1263,1467,
1932,1960,1964,1996,2003,2008,2013,2022,2030,2033,2034,2043,2044,2046,2050,
2719],[1,2,3,4,5,11,12,13,14,15,17,19,20,21,24,25,28,30,32,40,41,53,54,56,63,
64,67,71,78,82,85,86,88,89,90,91,93,96,99,100,102,103,104,105,113,114,116,157,
158,160,161,162,169,170,171,173,174,176,179,180,181,190,202,207,230,260,267,
274,276,277,301,316,326,327,328,329,330,336,343,344,352,356,357,358,361,362,
363,490,492,493,495,525,530,531,534,535,539,541,543,559,560,573,577,579,587,
588,594,601,606,608,611,612,614,618,622,624,625,626,755,813,814,815,816,829,
835,837,844,1132,1136,1157,1171,1177,1180,1200,1218,1236,1244,1246,1267,1268,
1269,1270,1271,1272,1273,1274,1279,1280,1281,1283,1284,1285,1286,1287,1288,
1289,1493,1994,2038,2039,2040,2048,2060,2066,2071,2072,2073,2074,2720],[1,2,3,
4,5,10,11,12,13,14,15,16,17,19,20,21,22,23,25,28,30,32,40,41,54,55,56,57,62,63
,65,69,70,71,74,76,77,79,80,81,87,89,92,93,101,103,106,107,108,109,155,157,158
,160,161,162,168,169,170,171,173,174,175,176,179,180,181,190,199,201,202,205,
206,227,231,234,236,241,244,246,249,261,263,265,267,269,272,278,279,282,285,
287,289,290,332,338,347,350,475,476,477,478,479,482,483,491,492,493,494,523,
524,525,531,532,533,534,535,537,538,540,541,545,546,556,557,559,560,571,572,
576,578,583,584,586,589,593,597,598,599,600,605,607,612,613,616,619,620,621,
694,698,702,762,763,773,800,805,812,1124,1128,1131,1133,1138,1147,1149,1150,
1152,1155,1167,1170,1172,1173,1174,1178,1187,1192,1194,1197,1200,1201,1206,
1207,1212,1214,1219,1220,1222,1230,1231,1235,1238,1239,1243,1248,1251,1252,
1253,1254,1260,1261,1262,1263,1459,1931,1975,1977,1983,1987,1995,2001,2007,
2015,2023,2025,2029,2033,2036,2046,2721],[1,2,3,4,5,9,10,12,13,15,16,17,19,20,
21,22,23,25,28,30,32,40,41,50,51,52,55,56,62,65,68,70,71,73,74,75,76,77,79,80,
81,87,91,92,93,101,103,106,107,108,109,110,153,155,158,160,161,162,168,169,170
,173,174,175,176,179,180,181,190,199,201,202,205,206,219,221,231,232,239,241,
244,245,247,248,249,258,262,264,267,268,270,272,275,278,279,280,281,282,283,
284,287,288,331,332,338,339,347,350,351,474,475,476,478,479,482,483,484,485,
490,491,493,521,522,525,528,529,532,533,534,535,536,537,544,546,556,557,559,
560,569,570,571,576,578,583,585,586,589,593,597,598,599,600,605,607,612,613,
615,619,620,621,697,701,702,703,743,757,761,765,774,799,803,804,806,810,812,
1125,1126,1127,1133,1137,1145,1148,1152,1153,1156,1167,1168,1169,1170,1172,
1175,1188,1194,1195,1196,1198,1200,1202,1203,1209,1211,1221,1224,1225,1228,
1230,1235,1238,1241,1243,1248,1249,1250,1253,1254,1257,1259,1260,1261,1460,
1930,1974,1977,1984,1985,1999,2002,2009,2016,2022,2025,2028,2034,2035,2047,
2722],[1,2,3,4,5,11,12,13,14,16,17,19,20,21,22,23,24,25,30,32,40,41,63,66,68,
69,71,76,78,80,81,82,85,86,88,89,90,91,92,96,99,100,102,104,108,114,116,157,
160,171,174,175,176,180,181,190,202,205,206,207,260,266,270,273,289,302,304,
305,316,327,328,330,346,352,358,361,362,363,490,492,495,540,542,544,545,559,
573,577,588,594,599,600,601,605,606,607,608,611,618,621,622,624,625,626,686,
772,783,813,814,821,828,1158,1159,1179,1234,1246,1247,1249,1251,1255,1269,1270
,1271,1272,1273,1274,1280,1285,1288,1289,1437,1968,2037,2048,2057,2059,2060,
2061,2723],[1,2,3,4,5,9,10,12,13,15,16,17,19,20,21,22,23,25,30,32,40,41,50,51,
52,55,56,62,65,68,70,71,73,74,75,76,77,79,80,81,87,91,92,93,101,103,106,107,
108,109,110,153,155,158,160,161,162,170,174,175,176,180,181,190,199,201,202,
205,206,219,221,231,232,239,241,244,245,247,248,249,258,262,264,267,268,270,
272,275,278,279,280,281,282,283,284,287,288,331,332,338,339,347,350,351,475,
476,477,479,484,485,490,491,493,494,521,522,523,525,529,532,535,538,544,546,
559,569,570,571,572,576,584,589,600,605,612,613,615,616,619,621,697,701,702,
703,743,757,761,765,774,799,803,804,806,810,812,1066,1068,1127,1131,1138,1146,
1174,1175,1178,1183,1184,1185,1187,1188,1189,1192,1193,1194,1196,1198,1199,
1200,1201,1203,1208,1209,1210,1212,1222,1223,1224,1225,1239,1249,1259,1261,
1263,1460,1921,1927,1929,1943,1945,1983,1984,2000,2016,2027,2029,2031,2042,
2044,2050,2724],[1,2,4,5,9,10,11,12,13,14,19,20,22,23,25,28,32,40,41,50,57,63,
65,71,73,75,76,77,81,87,89,93,103,107,108,110,153,155,157,158,160,161,162,168,
171,173,174,179,180,190,199,201,202,205,206,218,221,227,242,246,247,248,249,
261,262,263,265,267,281,286,288,289,331,339,350,351,474,477,478,482,483,484,
485,492,493,494,522,523,524,525,528,540,541,556,557,559,560,569,570,571,572,
578,585,593,599,607,612,613,615,616,620,621,695,698,703,742,764,773,801,802,
810,1067,1068,1124,1126,1137,1151,1153,1155,1168,1183,1184,1186,1187,1188,1189
,1193,1194,1195,1197,1200,1202,1206,1207,1208,1210,1211,1213,1214,1219,1220,
1221,1223,1241,1251,1257,1260,1262,1457,1920,1928,1929,1944,1946,1985,1987,
2004,2015,2027,2028,2030,2041,2043,2049,2725],[1,2,3,4,5,9,11,15,16,17,18,19,
20,21,23,24,25,32,41,52,56,60,67,75,78,83,84,85,86,88,92,93,105,106,111,116,
117,139,157,190,207,222,253,275,277,301,306,311,333,349,353,357,362,363,364,
365,449,502,573,608,625,744,807,837,838,842,845,846,1042,1089,1141,1280,1507,
1940,1949,2045,2726],[1,2,3,4,5,9,10,12,13,14,15,16,17,19,20,21,22,23,24,28,30
,32,40,41,50,52,55,56,62,63,65,68,70,71,73,74,75,76,77,79,80,81,87,88,90,92,
100,101,106,107,108,109,110,153,155,158,160,162,168,170,171,173,174,175,176,
179,180,181,190,201,205,206,207,221,227,231,232,237,240,241,243,245,246,248,
260,262,266,268,270,272,275,278,279,281,282,283,285,286,287,288,289,331,332,
338,339,346,347,351,476,477,478,484,485,491,494,522,523,528,529,532,535,538,
540,541,544,546,556,557,559,560,569,570,571,572,584,585,589,593,597,598,599,
600,605,606,607,608,615,616,618,619,620,621,690,699,700,704,757,761,763,764,
772,801,804,805,806,809,811,1124,1126,1127,1131,1137,1138,1146,1151,1153,1155,
1168,1174,1175,1178,1193,1199,1208,1210,1213,1223,1229,1232,1234,1235,1239,
1241,1246,1247,1248,1249,1250,1251,1252,1253,1254,1257,1258,1259,1262,1263,
1264,1461,1930,1931,1968,1976,1978,1979,1981,2000,2004,2024,2026,2030,2031,
2046,2047,2727],[1,2,3,4,5,11,13,14,15,21,22,23,24,25,28,30,32,40,41,64,67,78,
82,85,86,89,90,91,96,99,100,101,102,103,104,105,108,109,110,113,114,116,157,
160,169,170,171,173,181,199,201,202,205,206,207,274,301,316,326,327,328,329,
330,336,340,343,344,346,350,352,356,357,490,492,495,539,543,573,577,583,584,
585,586,587,588,594,601,606,611,612,613,614,618,621,622,624,625,626,740,821,
828,829,835,1136,1157,1180,1191,1194,1234,1236,1240,1244,1267,1268,1269,1270,
1271,1272,1273,1274,1283,1284,1503,2012,2032,2037,2039,2057,2058,2066,2728],[1
,2,3,4,5,11,12,13,14,16,17,19,20,21,22,23,24,25,30,32,40,41,63,66,68,69,71,76,
78,80,81,82,85,86,88,89,90,91,92,96,99,100,102,104,108,114,116,157,158,160,161
,162,171,175,176,180,181,199,201,202,207,260,266,270,273,289,302,304,305,316,
327,328,330,346,352,358,361,362,363,475,478,483,490,491,492,495,525,540,542,
544,545,573,577,579,588,594,601,606,611,613,618,622,624,625,626,686,772,783,
813,814,821,828,1158,1159,1179,1191,1198,1214,1218,1247,1255,1269,1270,1271,
1272,1273,1274,1279,1281,1286,1287,1437,2014,2032,2038,2040,2058,2059,2061,
2729],[1,2,3,4,5,9,10,12,13,14,15,16,17,19,22,23,24,25,28,30,32,40,41,50,51,52
,54,55,62,63,64,65,73,74,75,76,77,79,80,81,100,101,103,104,105,106,107,108,109
,110,153,155,158,160,162,168,169,170,171,173,174,175,176,179,180,199,201,202,
205,206,207,228,229,237,240,243,244,247,249,258,281,283,284,285,286,287,290,
331,332,336,337,338,339,340,346,347,350,351,474,475,476,477,479,482,483,484,
522,523,528,529,531,532,533,536,537,538,539,541,557,569,570,571,572,583,584,
585,586,587,588,589,593,597,598,599,600,612,613,615,616,618,619,620,621,734,
737,740,741,767,787,788,809,810,811,812,1123,1130,1137,1138,1145,1146,1147,
1148,1149,1150,1151,1156,1183,1184,1187,1188,1191,1192,1193,1194,1195,1202,
1212,1223,1229,1232,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1253,
1258,1260,1261,1264,1492,1932,1933,1962,1963,2005,2012,2013,2024,2025,2026,
2027,2028,2029,2051,2052,2730],[1,2,3,4,5,9,15,16,17,19,20,23,24,25,32,41,52,
56,75,88,92,93,96,97,98,99,105,106,111,116,117,139,190,207,253,275,277,333,344
,345,349,353,357,358,359,360,361,449,502,608,611,625,733,807,839,840,842,843,
844,1089,1141,1288,1508,1901,1940,2045,2731],[1,3,4,7,11,14,17,20,21,24,25,36,
39,47,53,59,66,69,78,84,86,88,89,90,93,94,95,97,99,104,112,113,114,115,116,117
,150,198,276,292,299,305,308,312,319,322,323,326,348,354,356,359,361,362,365,
462,465,517,678,770,782,816,819,822,825,1107,1266,1443,2062,2064,2067,2732],[1
,3,4,7,11,14,17,20,21,24,25,36,39,47,53,58,66,69,78,83,86,88,89,90,93,94,95,98
,99,104,112,113,114,115,116,117,150,198,276,291,299,305,307,313,320,321,324,
326,348,354,356,360,361,362,364,462,466,516,679,771,781,816,820,823,825,1106,
1266,1442,2062,2063,2068,2733],[1,3,4,7,14,18,20,21,24,25,36,47,53,58,72,84,85
,88,90,93,94,96,97,104,114,116,117,150,196,276,291,314,319,327,348,354,356,358
,359,363,365,463,465,516,673,771,781,815,819,822,824,1108,1266,1440,2064,2065,
2068,2734],[1,3,4,7,14,18,20,21,24,25,36,47,53,59,72,83,85,88,90,93,95,96,98,
104,114,116,117,150,196,276,292,315,320,327,348,354,356,358,360,363,364,463,
466,517,672,770,782,815,820,823,824,1109,1266,1441,2063,2065,2067,2735],[1,2,3
,4,7,11,13,14,15,21,24,25,36,39,47,64,67,78,82,85,86,89,90,91,96,99,100,102,
103,104,105,113,114,117,150,198,274,301,316,326,327,328,329,330,336,343,344,
348,353,354,355,462,463,515,738,824,825,829,836,1112,1266,1502,2062,2065,2069,
2736],[1,2,3,4,7,13,14,15,16,18,21,24,25,36,47,60,64,83,84,85,91,94,95,97,98,
99,100,103,104,105,111,114,115,116,150,196,297,306,317,318,319,320,325,328,336
,342,345,348,352,356,357,465,466,515,738,822,823,830,835,1110,1266,1501,2063,
2064,2069,2737],[1,2,3,4,7,12,13,14,15,16,17,18,19,20,21,24,25,47,53,54,56,58,
59,60,63,64,68,71,88,90,93,94,95,100,103,104,105,150,167,223,230,260,266,267,
276,277,291,292,295,298,336,348,515,516,517,738,750,755,770,771,1057,1266,1412
,2067,2068,2069,2738],[1,2,3,4,8,9,15,16,17,19,20,23,24,25,34,38,46,52,56,75,
88,92,93,96,97,98,99,105,106,111,116,117,145,197,253,275,277,333,344,345,349,
353,357,358,359,360,361,455,471,511,566,568,733,807,839,840,842,843,844,1087,
1276,1277,1508,2020,2739],[1,2,3,4,8,9,15,16,17,19,20,23,24,25,34,38,46,52,56,
75,88,92,93,96,97,98,99,105,106,111,116,117,145,197,253,275,277,333,344,345,
349,353,357,358,359,360,361,455,471,511,566,567,733,807,839,840,842,843,844,
1087,1276,1278,1508,2019,2740],[1,2,3,4,6,9,15,16,17,19,20,23,24,25,31,35,42,
44,45,52,56,75,88,92,93,96,97,98,99,105,106,111,116,117,156,165,166,177,178,
186,195,200,204,253,275,277,333,344,345,349,353,357,358,359,360,361,480,487,
489,497,526,548,565,617,733,807,839,840,842,843,844,1215,1275,1282,1508,2021,
2070,2075,2741],[1,2,3,4,7,13,14,15,16,18,21,22,23,47,58,59,60,64,68,101,106,
107,108,109,110,150,167,223,245,250,337,340,347,351,515,516,517,741,775,793,
1057,1445,2076,2742],[1,2,4,13,24,26,27,100,130,132,134,136,415,418,429,627,
986,1290,1291,2077,2079,2080,2743],[1,3,4,21,24,25,26,27,114,132,133,134,137,
415,418,419,434,627,998,1290,1292,2078,2079,2081,2744],[1,4,24,26,27,116,132,
134,415,418,627,1290,2079,2745],[1,3,4,21,24,26,27,85,132,133,134,137,415,434,
627,1290,1292,2077,2081,2746],[1,2,3,4,13,21,25,26,27,91,130,132,133,134,136,
137,419,429,434,627,1290,1291,1292,2078,2080,2081,2747],[1,4,24,25,26,27,99,
132,134,415,419,627,1290,2077,2078,2748],[1,2,4,13,22,23,26,27,108,130,132,134
,136,414,416,429,436,438,627,997,1011,1290,1291,2080,2082,2083,2749],[1,2,6,26
,44,48,130,214,216,439,651,847,1033,1511,2084,2750],[1,4,6,8,24,34,42,96,119,
120,371,385,565,634,850,1310,1556,2751],[1,4,7,8,24,34,46,96,119,122,127,371,
399,566,636,850,1313,1556,2752],[1,4,7,8,24,34,46,96,119,123,127,371,400,566,
637,850,1312,1556,2753],[1,4,7,8,25,38,46,97,119,122,127,374,403,567,636,854,
1315,1560,2754],[1,4,7,8,25,38,46,98,119,123,127,373,403,568,637,853,1314,1561
,2755],[1,4,7,8,25,34,46,98,119,123,127,371,400,568,637,851,1312,1558,2756],[1
,4,7,8,25,34,46,97,119,122,127,371,399,567,636,851,1313,1557,2757],[1,2,4,5,6,
8,10,12,22,28,29,31,32,34,40,42,74,118,120,121,168,172,174,206,366,367,380,381
,384,385,386,597,629,848,876,877,883,1294,1295,1535,2086,2087,2097,2758],[1,2,
3,4,5,6,8,16,19,22,28,29,30,32,33,35,37,40,41,45,80,118,120,121,175,179,180,
185,206,366,369,372,381,382,383,386,390,391,392,600,629,848,878,880,881,887,
1294,1296,1300,1536,2090,2092,2097,2759],[1,2,3,5,6,8,10,16,23,28,29,30,33,37,
40,45,79,118,120,121,168,175,185,205,366,372,381,382,386,391,392,598,629,849,
876,878,887,1294,1300,1538,2086,2090,2098,2760],[1,2,4,5,6,8,12,19,23,28,29,31
,32,34,35,40,41,42,81,118,120,121,172,174,179,180,205,366,367,369,380,381,383,
384,385,386,390,599,629,849,877,880,881,883,1294,1295,1296,1537,2087,2092,2098
,2761],[1,2,3,4,5,6,7,8,16,19,22,28,29,31,32,33,34,36,41,44,45,80,118,121,124,
125,126,177,179,182,185,208,366,367,370,382,383,387,388,393,394,398,402,602,
631,848,878,880,891,897,1297,1302,1303,1536,2093,2094,2099,2762],[1,2,3,4,5,6,
8,16,19,23,28,29,30,32,33,35,37,40,41,45,92,118,120,121,175,179,180,185,205,
366,369,372,381,382,383,386,390,391,392,605,629,849,878,880,881,887,1294,1296,
1300,1540,2090,2092,2098,2763],[1,4,5,7,8,20,24,32,34,38,39,41,46,88,119,125,
127,190,197,207,371,376,401,402,403,404,608,633,850,902,910,1298,1299,1543,
2096,2100,2764],[1,2,4,5,6,8,10,13,19,28,29,32,35,40,41,43,44,65,118,120,121,
160,168,173,179,180,189,366,369,381,383,386,390,405,407,408,557,629,876,880,
881,918,938,945,1293,1294,1296,1628,2086,2092,2120,2765],[1,2,4,5,6,8,12,13,19
,20,28,29,32,35,40,41,43,44,71,118,120,121,160,162,173,174,179,180,188,189,190
,366,369,381,383,386,390,405,407,408,559,560,629,880,881,895,918,919,938,942,
944,945,1293,1294,1296,1626,1627,2088,2092,2120,2121,2766],[1,2,3,4,5,6,8,12,
13,15,16,17,28,29,30,31,32,33,34,35,37,40,41,42,43,44,45,55,118,120,121,160,
165,170,172,173,174,175,176,184,185,186,187,189,191,366,367,369,372,380,381,
382,383,384,385,386,390,391,392,405,407,408,532,549,629,877,878,879,883,886,
887,888,918,922,933,934,938,939,945,1293,1294,1295,1296,1300,1620,1630,2087,
2090,2091,2120,2123,2767],[1,2,3,4,5,6,8,13,16,21,28,29,30,32,33,35,37,40,41,
43,44,45,68,118,120,121,160,166,173,175,181,182,183,185,189,193,366,369,372,
381,382,383,386,390,391,392,405,407,408,544,554,629,878,887,894,905,918,921,
938,940,941,943,945,1293,1294,1296,1300,1632,1637,2090,2095,2120,2122,2768],[1
,2,3,4,5,6,8,12,15,16,17,21,30,31,32,33,34,35,37,40,41,42,43,44,45,70,118,120,
121,162,165,166,170,174,175,176,181,182,183,184,186,187,188,191,193,367,369,
372,380,382,383,384,385,390,391,392,405,407,408,546,553,555,629,879,886,888,
894,905,919,921,922,933,934,939,940,941,942,943,944,1293,1295,1296,1300,1633,
1636,1638,2091,2095,2121,2122,2123,2769],[1,2,4,5,6,8,9,12,13,28,29,32,35,40,
44,50,118,120,121,139,141,145,153,156,173,174,188,189,366,369,381,386,405,500,
528,551,629,857,866,867,868,911,918,919,1294,1552,1584,1592,2103,2770],[1,2,3,
4,5,7,8,9,15,16,34,37,41,43,52,119,125,127,139,142,154,191,193,368,371,402,406
,502,558,633,860,872,912,917,920,1298,1551,1599,2102,2771],[1,2,4,5,6,7,8,9,12
,13,28,29,32,35,40,44,50,118,121,124,125,126,141,142,145,153,156,173,174,188,
189,366,369,387,393,405,507,528,551,631,861,862,864,867,911,918,919,1297,1552,
1601,1602,2106,2772],[1,2,3,4,5,6,7,8,9,15,16,30,31,32,33,34,37,40,41,43,44,52
,118,121,124,125,126,139,141,142,145,153,154,156,170,175,182,184,191,193,367,
372,383,388,402,408,502,529,552,558,631,857,860,861,862,863,866,914,921,922,
1303,1553,1585,1588,1599,2105,2773],[1,2,3,4,5,6,7,8,9,15,16,30,31,32,33,34,37
,40,43,44,46,52,120,121,122,123,125,126,141,142,145,153,154,156,170,175,182,
184,191,193,367,372,389,399,400,401,408,511,529,552,558,632,858,859,862,863,
864,867,868,914,921,922,1304,1553,1589,1596,1597,1598,2108,2774],[1,2,4,5,6,7,
8,10,13,19,28,29,32,35,40,44,65,118,121,124,125,126,140,143,146,155,159,173,
180,189,195,366,369,387,393,405,505,556,561,631,865,869,870,871,915,918,924,
1297,1554,1593,1595,2109,2775],[1,2,4,5,6,8,9,19,23,32,35,38,40,43,44,75,118,
120,121,153,154,156,180,194,195,201,203,204,369,378,379,405,407,408,484,496,
497,629,911,913,914,924,925,926,958,959,960,1293,1305,1685,1686,1687,2085,2101
,2110,2776],[1,2,4,5,6,8,9,12,13,28,29,32,35,40,41,43,44,50,118,120,121,153,
154,156,160,162,173,174,188,189,366,369,381,383,386,390,405,407,408,522,528,
551,629,911,913,914,918,919,938,942,944,945,1293,1294,1296,1552,1669,1673,2085
,2120,2121,2777],[1,2,3,4,5,6,8,9,15,16,30,31,32,33,34,37,40,42,43,44,45,52,
118,120,121,153,154,156,165,166,170,175,182,184,191,193,367,372,380,382,384,
385,391,392,405,407,408,526,529,552,558,629,911,913,914,921,922,933,934,939,
940,941,943,1293,1295,1300,1553,1668,1670,1671,2085,2122,2123,2778],[1,2,5,6,7
,8,9,10,22,28,29,40,43,44,73,118,121,124,125,126,139,141,142,145,153,154,156,
159,168,199,208,366,387,393,408,445,447,474,574,631,857,860,861,862,863,866,
914,937,953,1297,1512,1566,1578,1664,2105,2779],[1,2,4,5,6,7,8,9,19,23,31,32,
34,40,41,43,44,75,118,121,124,125,126,139,141,142,145,153,154,156,158,177,200,
205,367,383,388,402,408,449,455,480,570,631,857,860,861,862,863,866,914,931,
951,1303,1514,1563,1575,1660,2105,2780],[1,2,4,5,6,7,8,9,19,23,31,32,34,43,44,
46,75,120,121,122,123,125,126,139,142,145,154,156,164,177,200,210,367,389,399,
400,401,407,449,455,480,580,632,858,859,860,864,866,913,932,952,1304,1514,1572
,1573,1574,1661,2104,2781],[1,2,4,5,6,8,9,19,23,31,32,34,40,42,44,75,118,120,
121,139,141,145,153,156,163,177,200,209,367,380,384,385,405,449,455,480,575,
629,857,866,867,868,911,929,954,1295,1514,1567,1568,1659,2103,2782],[1,2,5,6,8
,9,10,22,28,29,40,44,73,118,120,121,139,141,145,153,155,156,168,199,206,366,
381,386,405,445,447,474,569,629,857,866,867,868,911,930,955,1294,1512,1562,
1577,1658,2103,2783],[1,2,4,5,6,7,8,10,12,22,31,32,34,40,41,44,74,118,121,124,
125,126,140,143,146,155,159,162,174,199,206,367,383,388,402,405,448,454,479,
576,631,865,869,870,871,915,942,955,1303,1513,1570,1571,1665,2109,2784],[1,2,3
,5,6,7,8,10,16,23,33,36,40,44,45,79,118,121,124,125,126,140,143,146,155,159,
166,182,200,209,370,382,394,398,405,453,461,486,582,631,865,869,870,871,915,
943,954,1302,1517,1581,1582,1666,2109,2785],[1,2,4,5,7,8,9,19,23,32,38,39,43,
46,75,119,125,127,139,142,154,164,194,203,210,376,401,403,404,406,449,467,496,
580,633,860,872,912,948,956,1299,1519,1572,1583,1667,2102,2786],[1,2,4,5,6,8,
10,13,28,29,32,35,38,40,44,51,118,120,121,155,168,173,189,366,369,378,379,381,
386,387,405,536,629,876,884,906,918,930,1294,1305,1317,1617,2086,2128,2136,
2787],[1,2,4,5,6,8,12,13,19,20,28,29,31,32,34,35,38,40,41,42,44,46,71,118,120,
121,162,163,172,173,174,177,178,179,189,190,197,366,367,369,378,379,380,381,
384,385,386,387,388,389,405,409,560,562,629,877,882,883,884,891,892,893,906,
918,927,929,946,947,1294,1295,1305,1317,1318,1618,1639,2087,2128,2129,2139,
2140,2788],[1,2,3,4,5,6,8,12,13,15,16,17,28,29,30,31,32,33,35,37,38,40,41,42,
44,45,46,55,118,120,121,162,165,169,172,173,175,176,184,185,186,187,189,192,
366,369,372,378,379,380,381,382,386,387,388,389,391,392,405,409,533,549,629,
877,878,879,884,885,887,889,890,906,918,923,935,939,946,1294,1300,1305,1317,
1318,1625,1630,2090,2128,2130,2138,2139,2789],[1,2,3,4,5,6,8,15,17,19,20,28,30
,31,32,33,34,35,37,38,40,41,42,44,45,46,56,118,120,121,161,163,165,169,176,177
,178,179,180,184,186,187,190,192,195,197,367,369,372,378,379,380,381,382,383,
384,385,387,388,389,390,391,392,405,409,534,548,550,629,879,881,882,885,886,
888,889,890,891,892,893,903,923,924,927,929,935,936,939,947,1295,1296,1300,
1305,1317,1318,1622,1624,1631,2091,2127,2129,2130,2137,2138,2140,2790],[1,2,4,
5,6,8,10,13,19,28,29,32,35,38,40,41,44,65,118,120,121,155,160,168,173,179,180,
189,195,366,369,378,379,381,383,386,387,390,405,556,557,629,876,880,881,884,
903,906,918,924,930,945,1294,1296,1305,1317,1628,1629,2092,2127,2128,2136,2141
,2791],[1,3,4,6,7,8,18,21,33,35,36,38,39,45,47,72,120,124,126,167,183,196,198,
370,375,377,378,395,396,397,398,410,563,630,896,899,900,901,928,950,1301,1306,
1323,1641,2089,2133,2146,2792],[1,2,3,4,5,6,7,8,13,16,21,28,29,32,33,35,36,38,
39,40,44,45,47,68,118,121,124,125,126,166,173,182,183,185,189,198,366,369,370,
375,376,377,379,382,386,387,393,394,397,398,405,410,554,631,878,894,897,898,
901,904,906,918,928,943,949,1297,1302,1307,1319,1322,1632,1640,2094,2131,2132,
2144,2145,2793],[1,2,4,5,6,7,8,12,13,19,20,28,29,31,32,34,35,38,39,40,41,42,44
,46,71,118,121,124,125,126,162,163,172,173,174,177,178,179,189,190,197,366,367
,369,375,376,377,379,383,384,386,387,388,393,401,402,405,409,560,562,631,880,
883,891,892,895,904,906,910,918,927,942,946,947,1297,1303,1307,1319,1320,1626,
1639,2093,2131,2134,2142,2143,2794],[1,2,4,5,6,8,13,22,23,28,29,32,35,40,41,43
,44,108,118,120,121,160,173,189,199,201,203,204,206,208,366,369,381,383,386,
390,405,407,408,593,595,613,629,918,938,945,953,955,958,959,960,961,1293,1294,
1296,1680,1704,1705,2101,2118,2120,2795],[1,2,3,4,5,6,8,15,23,30,31,32,33,34,
37,40,42,43,44,45,106,118,120,121,165,170,184,191,200,201,203,204,205,209,210,
367,372,380,382,384,385,391,392,405,407,408,589,591,596,617,629,922,933,934,
939,951,952,954,958,959,960,962,1293,1295,1300,1681,1703,1706,1707,2101,2119,
2123,2796],[1,2,5,6,8,9,10,22,28,40,43,44,73,118,120,121,153,154,155,156,159,
168,199,206,208,381,387,405,407,408,474,569,574,629,911,913,914,915,930,937,
953,955,961,1293,1317,1658,1664,1678,2085,2116,2118,2797],[1,2,4,5,6,8,9,19,23
,31,40,41,42,43,44,46,75,118,120,121,153,154,156,158,163,164,177,200,205,209,
210,380,388,389,405,407,408,409,480,570,575,580,629,911,913,914,916,929,931,
932,951,952,954,962,1293,1318,1659,1660,1661,1679,2085,2117,2119,2798],[1,2,4,
5,6,8,9,19,23,32,35,38,40,44,75,118,120,121,139,141,145,153,156,180,195,201,
204,369,378,379,405,449,457,471,484,497,629,857,866,867,868,911,924,958,1305,
1515,1526,1527,1528,1685,2103,2799],[1,2,4,5,6,7,8,10,12,23,32,35,38,39,40,44,
77,118,121,124,125,126,140,143,146,155,159,174,188,201,204,369,375,376,377,379
,405,452,464,470,485,498,631,865,869,870,871,915,919,958,1307,1518,1529,1530,
1531,1684,2109,2800],[1,2,4,5,6,7,8,9,19,23,32,35,38,39,43,44,75,120,121,122,
123,125,126,139,142,145,154,156,194,195,203,204,373,374,376,377,378,379,407,
449,467,471,496,497,632,858,859,860,864,866,913,925,959,1308,1519,1520,1521,
1524,1526,1686,2104,2801],[1,2,4,5,6,7,8,9,19,23,32,35,38,39,40,44,75,118,121,
124,125,126,141,142,145,153,156,180,195,201,204,369,375,376,377,379,405,457,
467,471,484,497,631,861,862,864,867,911,924,958,1307,1522,1523,1524,1527,1685,
2106,2802],[1,2,4,5,6,7,8,9,19,23,32,35,38,39,40,43,44,75,118,121,124,125,126,
139,141,142,145,153,154,156,180,194,195,201,203,204,369,375,376,377,379,408,
449,457,467,471,484,496,497,631,857,860,861,862,863,866,914,926,960,1307,1515,
1519,1522,1523,1525,1526,1687,2105,2803],[1,2,4,6,7,8,9,19,23,35,38,39,43,44,
75,120,124,126,141,142,145,154,156,194,195,203,204,375,377,378,407,457,467,471
,496,497,630,861,863,864,868,913,925,959,1306,1522,1524,1525,1528,1686,2107,
2804],[1,2,4,5,6,7,8,9,19,23,32,35,38,39,40,43,44,75,120,121,122,123,125,126,
141,142,145,153,154,156,180,194,195,201,203,204,373,374,376,377,378,379,408,
457,467,471,484,496,497,632,858,859,862,863,864,867,868,914,926,960,1308,1520,
1521,1523,1524,1525,1527,1528,1687,2108,2805],[1,2,4,5,6,8,13,23,28,29,32,35,
40,41,43,44,107,118,120,121,160,173,189,200,205,209,210,366,369,381,383,386,
390,405,407,408,592,620,629,918,938,945,951,952,954,962,1293,1294,1296,1614,
1701,2119,2120,2806],[1,2,3,4,5,6,8,15,22,23,30,31,32,33,34,37,40,42,43,44,45,
109,118,120,121,165,170,184,191,199,200,205,206,208,209,210,367,372,380,382,
384,385,391,392,405,407,408,583,590,623,629,922,933,934,939,951,952,953,954,
955,961,962,1293,1295,1300,1615,1700,1702,2118,2119,2123,2807],[1,2,4,5,6,8,13
,22,28,29,32,35,40,41,43,44,101,118,120,121,160,173,189,199,206,208,366,369,
381,383,386,390,405,407,408,586,619,629,918,938,945,953,955,961,1293,1294,1296
,1613,1699,2118,2120,2808],[1,2,4,5,6,8,13,23,28,29,32,35,40,41,43,44,110,118,
120,121,160,173,189,201,366,369,381,383,386,390,405,407,408,615,629,849,918,
938,945,1293,1294,1296,1609,2120,2147,2809],[1,2,4,5,6,8,13,25,28,29,32,35,40,
41,43,44,103,118,120,121,160,173,189,202,366,369,381,383,386,390,405,407,408,
612,629,852,918,938,945,1293,1294,1296,1608,2120,2148,2810],[1,2,5,6,8,9,10,22
,28,40,44,73,118,120,121,139,141,145,153,155,156,159,206,208,381,387,405,445,
569,574,629,857,866,867,868,911,915,961,1317,1562,1566,1678,2103,2811],[1,2,5,
6,7,8,9,10,22,29,40,44,73,118,121,124,125,126,140,143,146,153,155,156,159,206,
208,386,393,405,446,569,574,631,865,869,870,871,911,915,961,1319,1564,1569,
1678,2109,2812],[1,2,5,6,7,8,9,10,22,29,40,44,73,118,121,124,125,126,141,142,
145,153,155,156,159,206,208,386,393,405,447,569,574,631,861,862,864,867,911,
915,961,1319,1577,1578,1678,2106,2813],[1,2,4,5,6,7,8,9,19,23,32,40,41,42,43,
44,46,75,118,121,124,125,126,139,141,142,145,153,154,156,158,163,164,205,209,
210,383,384,401,408,409,449,570,575,580,631,857,860,861,862,863,866,914,916,
962,1320,1563,1567,1572,1679,2105,2814],[1,2,4,5,6,7,8,9,19,23,34,40,41,42,43,
44,46,75,120,121,122,123,125,126,141,142,145,153,154,156,158,163,164,205,209,
210,385,399,400,402,408,409,455,570,575,580,632,858,859,862,863,864,867,868,
914,916,962,1321,1568,1573,1574,1575,1679,2108,2815],[1,2,4,5,6,8,10,13,19,28,
29,32,35,38,40,41,43,44,65,118,120,121,155,159,160,168,173,179,180,189,194,195
,366,369,378,379,381,383,386,387,390,405,407,408,556,557,561,629,881,884,903,
906,915,918,924,925,926,930,937,938,945,1293,1294,1296,1305,1317,1554,1629,
1634,2110,2116,2120,2127,2128,2816],[1,2,3,4,5,6,8,15,17,19,20,30,31,32,33,34,
35,37,38,40,41,42,43,44,45,46,56,118,120,121,158,163,164,165,170,176,177,178,
180,184,186,187,190,191,192,194,195,197,367,369,372,378,379,380,382,384,385,
388,389,391,392,405,407,408,409,535,548,550,564,629,879,882,889,890,892,893,
916,922,923,924,925,926,927,929,931,932,933,934,939,1293,1295,1300,1305,1318,
1555,1621,1623,1631,2110,2117,2123,2129,2130,2817],[1,2,4,5,6,8,12,19,22,32,35
,38,40,41,43,44,76,118,120,121,162,174,180,188,194,195,199,206,208,369,378,379
,383,390,405,407,408,483,607,609,629,919,924,925,926,942,944,953,955,961,1293,
1296,1305,1654,1656,1682,2110,2118,2121,2818],[1,2,3,4,5,6,8,16,19,23,30,32,33
,35,37,38,40,43,44,45,92,118,120,121,166,175,180,182,193,194,195,200,205,209,
210,369,372,378,379,382,391,392,405,407,408,487,603,605,610,629,921,924,925,
926,940,941,943,951,952,954,962,1293,1300,1305,1651,1652,1655,1683,2110,2119,
2122,2819],[1,2,4,5,6,8,13,22,23,28,29,32,35,40,41,43,44,108,118,120,121,160,
173,189,205,206,366,369,381,383,386,390,405,407,408,621,629,848,849,918,938,
945,1293,1294,1296,1607,2097,2098,2120,2820],[1,2,4,5,6,8,13,23,28,29,32,35,40
,41,43,44,107,118,120,121,160,173,189,205,366,369,381,383,386,390,405,407,408,
620,629,849,918,938,945,1293,1294,1296,1606,2098,2120,2821],[1,2,4,5,6,8,10,13
,28,29,32,35,40,41,43,44,51,118,120,121,155,159,160,168,173,189,366,369,381,
383,386,387,390,405,407,408,521,536,629,876,884,915,918,930,937,938,945,1293,
1294,1296,1317,1617,1672,2116,2120,2136,2141,2822],[1,2,4,5,6,8,12,13,19,20,28
,29,31,32,35,40,41,42,43,44,46,71,118,120,121,158,160,161,162,163,164,172,173,
177,178,189,366,369,380,381,383,386,388,389,390,405,407,408,409,525,562,629,
877,882,916,918,929,931,932,936,938,945,946,1293,1294,1296,1318,1618,1675,2117
,2120,2137,2139,2823],[1,2,3,4,5,6,8,10,15,19,28,30,31,32,33,34,37,40,41,42,43
,44,45,46,62,118,120,121,155,158,159,163,164,165,168,169,170,177,179,184,191,
367,372,380,381,382,384,385,387,388,389,391,392,405,407,408,409,527,537,547,
629,885,891,915,916,922,929,930,931,932,933,934,935,937,939,947,1293,1295,1300
,1317,1318,1619,1674,1676,2116,2117,2123,2138,2140,2824],[1,2,4,5,6,8,10,12,23
,28,32,35,40,41,43,44,77,118,120,121,155,159,162,168,174,188,201,203,204,369,
381,383,387,390,405,407,408,482,485,498,629,915,919,930,937,942,944,958,959,
960,1293,1296,1317,1684,1690,1691,2101,2116,2121,2825],[1,2,3,4,5,6,8,16,19,23
,30,31,33,37,40,41,42,43,44,45,46,92,118,120,121,158,163,164,166,175,177,182,
193,201,203,204,372,380,382,388,389,391,392,405,407,408,409,488,489,491,499,
629,916,921,929,931,932,940,941,943,958,959,960,1293,1300,1318,1688,1692,1693,
1694,2101,2117,2122,2826],[1,4,5,7,8,24,34,41,96,119,125,127,207,371,402,611,
633,850,1298,1556,2100,2827],[1,2,3,4,7,8,9,15,16,34,37,43,46,52,119,123,127,
142,145,154,191,193,368,371,400,406,511,558,637,858,872,912,917,920,1312,1551,
1597,2115,2828],[1,2,3,4,7,8,9,15,16,34,37,43,46,52,119,122,127,142,145,154,
191,193,368,371,399,406,511,558,636,859,872,912,917,920,1313,1551,1598,2114,
2829],[1,2,3,4,6,8,9,15,16,34,37,42,43,44,45,52,119,120,154,156,165,166,191,
193,368,371,385,392,406,407,526,558,634,912,913,917,920,934,941,1309,1310,1311
,1551,1671,2111,2154,2156,2830],[1,2,4,6,8,9,19,23,31,38,43,44,46,75,119,120,
154,156,164,177,194,200,203,210,389,403,406,407,480,496,580,634,912,913,932,
948,952,956,1309,1330,1661,1667,2111,2124,2125,2831],[1,2,4,5,6,8,10,12,23,28,
29,31,32,34,40,42,44,77,118,120,121,155,168,172,174,201,366,367,380,381,384,
385,386,387,405,485,629,849,876,877,883,930,1294,1295,1317,1539,2087,2136,2147
,2832],[1,2,4,5,6,8,10,12,23,28,29,31,40,41,42,46,77,118,120,121,162,168,172,
201,366,380,381,386,388,389,409,482,629,849,876,877,946,1294,1318,1539,2086,
2139,2147,2833],[1,2,3,5,6,8,10,16,23,28,29,30,33,37,40,44,45,79,118,120,121,
155,168,175,185,201,366,372,381,382,386,387,391,392,405,476,629,849,876,878,
887,930,1294,1300,1317,1538,2090,2136,2147,2834],[1,2,4,5,6,8,12,19,23,28,29,
31,32,35,40,41,42,46,81,118,120,121,162,172,179,180,201,366,369,380,381,383,
386,388,389,390,409,478,629,849,877,880,881,946,1294,1296,1318,1537,2092,2139,
2147,2835],[1,2,3,4,5,6,8,13,21,25,28,30,32,33,35,37,40,41,44,45,91,118,120,
121,160,173,181,183,202,369,372,381,382,383,387,390,391,392,405,490,629,852,
884,894,905,945,1296,1300,1317,1541,2095,2141,2148,2836],[1,4,5,6,8,20,25,31,
32,35,41,42,46,93,118,120,121,161,178,190,202,369,380,383,388,389,390,409,493,
629,852,882,895,936,1296,1318,1542,2088,2137,2148,2837],[1,2,3,4,5,6,7,8,16,19
,23,28,29,31,32,33,34,41,44,45,47,92,118,121,124,125,126,166,177,179,185,204,
366,367,382,383,387,388,393,394,397,402,410,489,631,849,878,880,891,949,1297,
1303,1322,1540,2093,2144,2149,2838],[1,2,3,4,5,6,7,8,16,19,23,28,29,32,33,36,
41,42,44,45,46,92,118,121,124,125,126,163,179,182,185,204,366,370,382,383,384,
387,393,394,398,401,409,488,631,849,878,880,897,947,1297,1302,1320,1540,2094,
2142,2149,2839],[1,2,4,5,6,8,10,12,23,28,29,31,40,41,42,44,46,77,118,120,121,
155,162,168,172,205,366,380,381,386,387,388,389,405,409,571,629,849,876,877,
930,946,1294,1317,1318,1539,2098,2136,2139,2840],[1,2,4,5,6,8,10,12,22,28,29,
31,40,41,42,44,46,74,118,120,121,155,162,168,172,206,366,380,381,386,387,388,
389,405,409,576,629,848,876,877,930,946,1294,1317,1318,1535,2097,2136,2139,
2841],[1,2,3,4,5,6,7,8,16,19,22,28,29,32,33,41,42,44,45,46,47,80,118,121,124,
125,126,163,166,179,185,208,366,382,383,384,387,393,394,397,401,409,410,581,
631,848,878,880,947,949,1297,1320,1322,1536,2099,2142,2144,2842],[1,2,3,4,5,6,
8,9,15,16,31,33,40,41,42,44,45,46,52,118,120,121,139,141,145,153,156,165,166,
182,184,380,382,388,389,405,409,502,511,526,552,629,857,866,867,868,911,939,
943,1318,1588,1589,1646,1668,2103,2843],[1,2,4,5,6,7,8,10,13,28,32,40,41,42,44
,46,51,118,121,124,125,126,140,143,146,155,159,160,168,173,381,383,384,401,405
,409,501,508,521,536,631,865,869,870,871,915,930,945,1320,1586,1594,1644,1672,
2109,2844],[1,2,4,5,6,8,9,12,13,28,32,40,41,44,50,118,120,121,139,141,145,153,
156,160,162,173,174,381,383,387,405,500,507,522,528,629,857,866,867,868,911,
942,945,1317,1584,1602,1642,1669,2103,2845],[1,2,3,4,5,6,7,8,9,15,16,30,32,40,
41,42,43,44,45,46,52,118,121,124,125,126,139,141,142,145,153,154,156,165,166,
170,175,383,384,391,401,408,409,502,511,526,529,631,857,860,861,862,863,866,
914,933,940,1320,1585,1596,1646,1670,2105,2846],[1,2,3,4,5,6,7,8,9,15,16,34,37
,41,42,43,44,45,46,52,120,121,122,123,125,126,139,142,145,154,156,165,166,191,
193,385,392,399,400,402,407,409,502,511,526,558,632,858,859,860,864,866,913,
934,941,1321,1597,1598,1599,1646,1671,2104,2847],[1,2,3,4,5,6,7,8,10,15,19,31,
33,40,42,44,45,47,62,118,121,124,125,126,140,143,146,155,159,163,165,177,184,
380,382,394,397,405,410,504,514,527,547,631,865,869,870,871,915,929,939,1322,
1590,1591,1645,1674,2109,2848],[1,2,4,5,6,7,8,9,12,13,29,35,40,41,43,44,50,118
,121,124,125,126,139,141,142,145,153,154,156,160,162,188,189,386,390,393,405,
408,500,507,522,551,631,857,860,861,862,863,866,914,938,944,1319,1592,1601,
1642,1673,2105,2849],[1,2,4,5,6,8,13,22,23,28,29,32,35,38,40,44,108,118,120,
121,173,189,201,206,366,369,378,379,381,386,387,405,593,629,848,849,884,906,
918,1294,1305,1317,1607,2097,2128,2147,2850],[1,2,4,5,6,8,13,23,28,29,32,35,38
,40,44,110,118,120,121,173,189,201,205,366,369,378,379,381,386,387,405,585,629
,849,884,906,918,1294,1305,1317,1609,2098,2128,2147,2851],[1,2,4,5,6,7,8,13,22
,23,28,29,32,35,38,39,40,44,108,118,121,124,125,126,173,189,204,208,366,369,
375,376,377,379,386,387,393,405,595,631,848,849,904,906,918,1297,1307,1319,
1607,2099,2131,2149,2852],[1,2,3,4,5,6,8,16,19,22,30,31,33,37,40,41,42,43,44,
45,46,80,118,120,121,158,163,164,166,175,177,182,193,199,206,208,372,380,382,
388,389,391,392,405,407,408,409,475,581,602,629,916,921,929,931,932,940,941,
943,953,955,961,1293,1300,1318,1649,1662,1709,2117,2118,2122,2853],[1,2,3,5,6,
8,10,16,23,28,30,33,37,40,43,44,45,79,118,120,121,155,159,166,168,175,182,193,
200,205,209,210,372,381,382,387,391,392,405,407,408,486,582,598,629,915,921,
930,937,940,941,943,951,952,954,962,1293,1300,1317,1650,1666,1711,2116,2119,
2122,2854],[1,2,4,5,6,8,12,19,23,31,32,35,40,41,42,43,44,46,87,118,120,121,158
,162,163,164,174,177,188,200,205,209,210,369,380,383,388,389,390,405,407,408,
409,481,578,604,629,916,919,929,931,932,942,944,951,952,954,962,1293,1296,1318
,1653,1663,1710,2117,2119,2121,2855],[1,2,4,5,6,8,10,12,22,28,32,35,40,41,43,
44,74,118,120,121,155,159,162,168,174,188,199,206,208,369,381,383,387,390,405,
407,408,479,576,597,629,915,919,930,937,942,944,953,955,961,1293,1296,1317,
1648,1665,1708,2116,2118,2121,2856],[1,2,3,4,6,8,9,15,16,34,37,42,43,44,45,52,
120,128,154,156,165,166,191,193,385,392,407,411,412,413,526,558,638,913,934,
941,957,964,965,1324,1325,1326,1671,1677,2112,2161,2162,2857],[1,2,4,6,7,8,9,
19,23,31,39,43,44,46,75,120,127,142,154,156,164,177,200,210,389,404,407,467,
480,580,635,872,913,932,952,1331,1583,1661,2113,2858],[1,2,4,7,8,9,19,23,34,38
,39,43,46,75,119,123,127,142,145,154,164,194,203,210,400,403,404,406,455,467,
496,580,637,858,872,912,948,956,1333,1574,1583,1667,2115,2859],[1,2,4,7,8,9,19
,23,34,38,39,43,46,75,119,122,127,142,145,154,164,194,203,210,399,403,404,406,
455,467,496,580,636,859,872,912,948,956,1332,1573,1583,1667,2114,2860],[1,2,3,
4,8,9,15,16,34,37,43,46,52,122,128,129,145,154,191,193,399,411,412,413,511,558
,641,859,957,963,964,965,1328,1598,1677,2151,2861],[1,2,3,4,8,9,15,16,34,37,43
,46,52,123,128,129,145,154,191,193,400,411,412,413,511,558,640,858,957,963,964
,965,1329,1597,1677,2150,2862],[1,2,3,4,5,7,8,9,15,16,34,37,41,43,52,125,128,
129,139,142,154,191,193,402,411,412,413,502,558,642,860,957,963,964,965,1327,
1599,1677,2152,2863],[1,2,3,4,6,8,16,19,23,35,37,38,43,44,45,46,92,119,120,164
,166,193,194,195,200,203,210,368,378,392,403,406,407,487,499,610,634,920,925,
941,948,952,956,1309,1311,1316,1652,1657,2124,2155,2156,2864],[1,2,4,6,8,9,19,
23,35,38,43,44,46,75,119,120,154,156,164,194,195,203,204,210,378,403,406,407,
496,497,580,634,912,913,925,948,956,959,1309,1316,1667,1686,2111,2153,2155,
2865],[1,2,3,4,6,8,16,19,23,31,37,38,43,44,45,46,92,119,120,164,166,177,193,
194,203,204,210,368,389,392,403,406,407,489,499,610,634,920,932,941,948,956,
959,1309,1311,1330,1657,1693,2125,2153,2156,2866],[1,2,3,4,6,8,15,17,19,20,31,
34,35,37,38,42,43,44,45,46,56,119,120,164,165,177,178,186,191,192,194,195,197,
368,371,378,385,389,392,403,406,407,548,564,634,890,893,902,907,917,925,932,
934,948,1309,1310,1311,1316,1330,1623,1635,2125,2154,2155,2157,2158,2867],[1,2
,3,4,6,8,15,23,34,37,42,43,44,45,106,119,120,165,191,200,203,204,210,368,371,
385,392,406,407,596,617,634,917,934,952,956,959,1309,1310,1311,1616,1707,2124,
2153,2154,2868],[1,4,5,7,8,24,34,41,116,119,125,127,207,371,402,625,633,850,
1298,1695,2100,2869],[1,2,4,7,8,9,19,23,38,43,46,75,119,122,127,142,145,154,
164,194,203,210,374,403,406,471,496,580,636,859,872,912,948,956,1315,1521,1667
,2114,2870],[1,2,4,7,8,9,19,23,38,43,46,75,119,123,127,142,145,154,164,194,203
,210,373,403,406,471,496,580,637,858,872,912,948,956,1314,1520,1667,2115,2871]
,[1,2,3,4,9,11,15,16,18,21,48,49,52,60,66,67,72,214,220,222,235,643,666,1335,
2164,2872],[1,2,4,5,9,11,12,13,26,28,32,40,50,57,130,132,136,139,153,173,174,
218,420,428,429,500,528,971,1039,1343,2179,2873],[1,2,3,4,5,9,11,15,16,18,21,
26,28,30,41,52,60,67,130,131,135,139,157,169,181,222,421,425,432,502,543,972,
1042,1343,2178,2874],[1,2,4,6,9,10,12,13,19,20,26,29,35,44,50,65,71,130,132,
136,140,156,188,189,221,420,428,429,505,551,971,1040,1344,2180,2875],[1,2,3,4,
5,9,12,13,14,15,16,17,26,28,30,32,40,41,50,52,54,55,64,130,131,132,135,136,139
,160,169,170,171,173,229,422,425,426,427,429,500,502,539,981,1047,1343,2178,
2179,2876],[1,2,4,5,9,10,12,13,19,20,26,28,32,40,50,65,71,130,132,136,139,155,
173,180,221,423,429,433,500,556,984,1041,1343,2179,2877],[1,2,3,4,5,9,12,13,15
,16,17,21,26,28,30,32,40,41,50,52,55,68,70,130,131,132,135,136,139,162,169,173
,175,176,232,424,425,429,430,431,500,502,533,978,1051,1343,2178,2179,2878],[1,
2,4,6,10,13,14,19,26,29,35,44,63,65,130,132,136,140,159,189,195,227,423,429,
433,505,561,984,1048,1344,2180,2879],[1,2,4,5,9,12,13,22,24,26,28,32,40,50,100
,101,130,132,136,139,173,199,206,237,415,429,500,586,986,1115,1343,2179,2880],
[1,2,4,5,9,12,13,23,25,26,28,32,40,50,103,110,130,132,136,139,173,201,205,247,
417,429,500,585,990,1117,1343,2179,2881],[1,2,4,6,10,13,19,23,24,26,29,35,44,
65,100,107,130,132,136,140,189,200,209,240,415,429,505,592,986,1116,1344,2180,
2882],[1,2,4,5,9,10,12,13,22,26,28,32,40,50,51,73,74,101,130,132,136,139,155,
168,173,258,414,429,445,500,536,987,1069,1343,2166,2179,2883],[1,2,3,4,5,9,10,
15,16,19,22,23,26,28,30,32,40,41,52,62,73,75,79,80,109,130,131,135,139,158,168
,169,170,179,283,414,416,425,445,449,502,537,988,1071,1343,2166,2168,2178,2884
],[1,2,4,5,9,12,13,14,19,23,26,28,32,40,41,50,63,75,81,110,130,132,136,139,158
,171,173,179,180,286,416,429,449,500,541,989,1072,1343,2168,2179,2885],[1,2,4,
6,10,12,13,19,20,22,26,29,31,35,42,44,65,71,74,76,101,130,132,136,140,163,172,
177,178,189,282,414,429,448,505,562,987,1081,1344,2167,2180,2886],[1,2,4,5,9,
12,13,19,20,23,26,28,32,40,41,50,71,75,87,107,130,132,136,139,162,173,174,179,
190,262,416,429,449,500,560,994,1083,1343,2168,2179,2887],[1,2,4,5,9,10,12,13,
19,22,23,26,28,32,40,41,50,65,73,75,76,77,108,130,132,136,139,160,168,173,179,
180,281,414,416,429,445,449,500,557,997,1078,1343,2166,2168,2179,2888],[1,2,3,
4,5,9,15,16,17,19,20,23,26,28,30,32,41,52,56,75,92,106,130,131,135,139,161,169
,176,179,190,275,416,425,449,502,534,993,1089,1343,2168,2178,2889],[1,2,3,4,6,
10,12,13,15,16,17,19,22,23,26,29,31,33,35,42,44,45,55,65,74,79,80,81,108,130,
132,136,140,165,172,184,185,186,187,189,287,414,416,429,448,453,505,549,997,
1076,1344,2167,2169,2180,2890],[1,2,3,4,6,10,13,16,19,21,23,26,29,33,35,44,45,
65,68,79,92,107,130,132,136,140,166,182,183,185,189,268,416,429,453,505,554,
994,1085,1344,2169,2180,2891],[1,2,3,4,6,11,13,16,21,24,25,27,29,33,35,44,45,
66,68,82,85,86,91,114,133,134,137,144,166,182,183,185,189,304,418,419,434,450,
459,509,554,998,1092,1345,2170,2175,2181,2892],[1,3,4,7,14,18,21,24,25,27,36,
39,47,58,72,84,85,90,94,114,133,134,137,150,167,196,198,314,418,419,434,463,
465,516,563,998,1108,1347,2172,2174,2183,2893],[1,3,4,7,14,18,21,24,25,27,36,
39,47,59,72,83,85,90,95,114,133,134,137,150,167,196,198,315,418,419,434,463,
466,517,563,998,1109,1348,2171,2173,2182,2894],[1,2,4,5,9,12,13,22,24,26,40,50
,100,101,130,132,136,139,199,215,237,414,415,420,428,429,500,650,971,986,987,
1115,1351,1356,1721,2185,2895],[1,2,4,5,9,12,13,23,25,26,40,50,103,110,130,132
,136,139,201,215,247,416,417,420,428,429,500,650,971,989,990,1117,1353,1356,
1722,2185,2896],[1,2,4,6,10,13,19,23,24,26,44,65,100,107,130,132,136,140,200,
216,240,415,416,423,429,433,505,651,984,986,994,1116,1352,1357,1726,2187,2897]
,[1,2,4,6,10,13,19,23,25,26,44,65,103,107,130,132,136,140,204,216,249,416,417,
423,429,433,505,651,984,990,994,1118,1354,1357,1725,2187,2898],[1,2,4,5,9,11,
12,13,26,40,50,57,135,136,139,153,215,218,420,421,422,424,500,663,969,970,1039
,1356,1360,1720,2192,2899],[1,2,4,6,9,11,12,13,26,50,57,135,136,141,144,216,
218,420,421,422,424,969,970,1058,1358,1359,1720,2900],[1,2,3,4,5,9,15,16,24,25
,26,28,30,41,52,105,111,130,131,135,139,169,202,207,333,425,435,437,502,587,
1009,1141,1343,2178,2901],[1,2,4,5,9,12,13,22,23,26,28,32,40,50,107,108,130,
132,136,139,173,201,206,331,429,436,438,500,593,1011,1139,1343,2179,2902],[1,2
,4,6,10,13,19,22,23,26,29,35,44,65,108,110,130,132,136,140,189,204,208,339,429
,436,438,505,595,1011,1144,1344,2180,2903],[1,2,3,4,5,9,12,13,15,16,17,21,26,
40,41,50,52,55,68,70,131,132,135,136,139,162,215,232,420,422,424,427,428,430,
431,432,500,502,652,663,969,973,975,977,979,1051,1356,1379,1716,2186,2192,2904
],[1,2,3,4,5,9,12,13,14,15,16,17,26,40,41,50,52,54,55,64,130,131,132,135,136,
139,160,215,229,420,422,424,425,426,427,428,429,430,431,500,502,650,652,663,
969,971,977,978,979,980,981,1047,1356,1378,1719,2185,2186,2192,2905],[1,2,3,4,
6,10,13,14,15,19,26,42,44,45,51,62,63,64,65,130,131,132,135,136,140,165,216,
228,422,423,425,426,427,429,433,501,504,505,651,653,664,968,981,982,983,984,
1049,1357,1380,1715,2187,2188,2193,2906],[1,2,3,4,6,11,15,21,26,42,44,45,49,66
,67,130,131,135,144,165,216,220,421,425,432,503,509,510,651,653,664,967,972,
976,1055,1359,1380,1714,2190,2191,2194,2907],[1,2,4,5,9,10,12,13,22,26,28,40,
50,51,73,74,101,135,136,139,168,215,258,420,422,423,424,438,445,500,660,663,
968,969,1003,1006,1007,1069,1356,1374,1732,2192,2197,2908],[1,2,4,6,9,10,12,13
,22,26,29,31,42,50,51,73,74,101,135,136,140,172,216,258,420,422,423,424,438,
446,448,501,659,661,664,968,969,1003,1006,1007,1070,1357,1375,1732,2193,2196,
2198,2909],[1,2,4,6,11,12,13,24,26,29,31,42,49,57,78,82,102,135,136,144,172,
216,259,421,422,424,437,450,451,503,659,661,664,967,970,1004,1005,1008,1084,
1359,1375,1733,2194,2199,2200,2910],[1,2,4,5,9,12,13,23,25,26,40,50,103,110,
135,136,139,201,215,247,420,422,424,435,436,500,663,969,999,1000,1117,1356,
1381,1747,2192,2911],[1,2,4,5,9,12,13,14,19,23,26,32,40,50,63,75,81,110,132,
135,136,139,180,215,286,420,422,424,426,433,436,449,500,656,663,969,982,1000,
1020,1022,1072,1356,1376,1742,2192,2202,2912],[1,2,3,4,6,10,12,13,15,16,17,23,
26,33,35,42,51,55,77,79,110,131,132,135,136,140,187,216,284,422,423,427,428,
430,431,436,452,453,501,655,658,664,968,979,1000,1019,1021,1075,1357,1377,1743
,2193,2203,2204,2913],[1,3,4,6,11,14,17,21,25,26,33,35,42,49,69,86,89,113,131,
132,135,144,187,216,303,421,426,431,432,435,459,460,503,655,658,664,967,974,
1001,1024,1025,1094,1359,1377,1745,2194,2205,2206,2914],[1,2,4,5,9,12,13,22,24
,26,40,50,100,101,135,136,139,199,215,237,420,422,424,437,438,500,663,969,1002
,1003,1115,1356,1373,1750,2192,2915],[1,2,4,5,10,13,19,27,40,41,51,65,155,158,
160,217,219,521,523,1066,1730,2916],[1,2,4,5,9,12,13,22,23,26,40,41,50,107,108
,130,132,136,153,160,162,199,201,215,331,414,416,420,428,429,522,613,616,650,
652,663,971,994,997,1183,1351,1353,1360,1378,1379,1752,2195,2219,2220,2917],[1
,2,3,4,6,10,12,14,15,17,19,22,23,26,31,35,45,54,62,74,76,77,81,109,131,132,135
,136,140,186,216,290,423,424,426,427,428,431,433,436,438,448,452,504,653,658,
659,980,983,1006,1012,1017,1020,1021,1074,1357,1368,1776,2188,2198,2203,2918],
[1,2,3,4,6,10,12,13,15,16,17,19,22,23,26,31,33,44,55,65,74,79,80,81,108,130,
131,132,135,136,140,184,216,287,423,424,425,429,430,431,433,436,438,448,453,
505,651,655,659,978,984,1006,1011,1016,1019,1020,1076,1357,1367,1777,2187,2198
,2204,2919],[1,2,3,4,6,9,10,15,16,19,22,23,26,29,33,45,52,62,73,75,79,80,109,
131,132,136,140,185,216,283,420,423,427,430,433,436,438,446,453,504,653,655,
661,977,983,1007,1012,1016,1019,1022,1073,1357,1369,1775,2188,2196,2204,2920],
[1,2,3,4,5,9,10,15,16,19,22,23,26,28,32,41,52,62,73,75,79,80,109,131,132,136,
139,179,215,283,420,423,427,430,433,436,438,445,449,502,652,656,660,977,983,
1007,1012,1016,1019,1022,1071,1356,1370,1775,2186,2197,2202,2921],[1,2,4,5,9,
10,12,13,19,22,23,26,28,32,40,50,65,73,75,76,77,108,130,132,136,139,173,215,
281,420,423,428,429,433,436,438,445,449,500,650,656,660,971,984,1007,1011,1017
,1021,1022,1078,1356,1366,1778,2185,2197,2202,2922],[1,2,4,6,9,10,12,13,19,22,
23,26,29,35,44,50,65,73,75,76,77,108,130,132,136,140,189,216,281,420,423,428,
429,433,436,438,446,452,505,651,658,661,971,984,1007,1011,1017,1021,1022,1080,
1357,1371,1778,2187,2196,2203,2923],[1,2,3,4,6,11,13,14,15,21,24,25,26,29,35,
44,64,67,82,89,90,91,105,130,131,132,135,136,144,189,216,274,421,422,425,426,
427,429,432,435,437,450,460,510,651,658,661,972,981,1008,1009,1018,1023,1024,
1090,1359,1371,1780,2191,2199,2206,2924],[1,2,3,4,6,11,15,21,24,25,26,31,33,44
,67,78,85,86,105,130,131,135,144,184,216,301,421,425,432,435,437,451,459,510,
651,655,659,972,1005,1009,1015,1025,1093,1359,1367,1772,2191,2200,2205,2925],[
1,3,4,6,11,14,17,21,24,25,26,31,35,45,66,69,78,86,89,90,114,131,132,135,144,
186,216,305,421,426,431,432,435,437,451,460,509,653,658,659,974,976,1005,1013,
1018,1024,1025,1091,1359,1368,1773,2190,2200,2206,2926],[1,2,3,4,6,11,13,16,21
,24,25,26,29,33,45,66,68,82,85,86,91,114,131,135,136,144,185,216,304,421,422,
430,432,435,437,450,459,509,653,655,661,973,976,1008,1013,1015,1023,1025,1092,
1359,1369,1774,2190,2199,2205,2927],[1,2,4,6,9,10,12,13,19,22,23,26,29,35,44,
50,65,73,75,76,77,108,130,132,136,141,189,216,281,420,423,428,429,433,436,438,
447,457,507,651,658,661,971,984,1007,1011,1017,1021,1022,1098,1358,1371,1778,
2189,2201,2207,2928],[1,2,4,5,9,12,13,22,23,26,40,50,107,108,130,132,136,139,
206,215,331,414,416,420,428,429,500,650,971,994,997,1139,1356,1361,1752,2185,
2929],[1,2,3,4,5,9,15,16,24,25,26,41,52,105,111,131,132,136,139,207,215,333,
415,417,420,427,430,502,652,977,991,995,1141,1356,1363,1756,2186,2930],[1,2,4,
6,10,13,19,22,23,26,44,65,108,110,130,132,136,140,208,216,339,414,416,423,429,
433,505,651,984,989,997,1144,1357,1362,1754,2187,2931],[1,2,4,6,10,13,19,22,23
,26,44,65,101,108,130,132,136,140,209,216,332,414,416,423,429,433,505,651,984,
987,997,1140,1357,1364,1753,2187,2932],[1,2,4,5,13,22,23,26,40,41,101,107,108,
130,132,136,160,199,201,206,215,347,414,416,429,436,438,613,616,619,650,652,
663,987,994,1011,1192,1353,1361,1373,1378,1381,1781,2219,2222,2226,2933],[1,2,
4,5,13,22,23,24,26,40,41,100,108,130,132,136,160,199,201,207,215,346,414,415,
416,429,436,438,613,618,650,652,663,986,997,1011,1191,1351,1353,1363,1373,1378
,1381,1782,2220,2222,2225,2934],[1,2,4,5,10,13,19,22,23,26,28,32,40,41,65,101,
108,130,132,136,160,168,173,179,180,199,201,206,215,332,414,416,423,429,433,
557,586,593,613,619,650,652,656,660,663,984,987,997,1243,1351,1353,1361,1366,
1370,1374,1376,1378,1753,2208,2211,2216,2220,2226,2935],[1,2,3,4,6,12,13,15,16
,17,22,23,26,29,31,33,35,42,44,45,55,106,107,108,109,130,131,132,135,136,165,
172,184,185,186,187,189,200,204,208,209,216,338,414,416,424,425,429,430,431,
549,590,591,592,595,617,623,651,653,655,658,659,661,664,978,988,993,994,997,
1245,1352,1354,1362,1364,1367,1368,1369,1371,1375,1377,1380,1761,2209,2210,
2212,2213,2217,2221,2227,2936],[1,2,4,5,10,13,19,23,24,26,28,32,40,41,65,100,
107,130,132,136,160,168,173,179,180,201,207,215,240,415,416,423,429,433,557,
616,618,650,652,656,660,663,984,986,994,1264,1353,1363,1366,1370,1374,1376,
1378,1726,2216,2219,2225,2937],[1,2,4,5,9,10,12,13,19,22,23,26,28,32,40,41,50,
65,73,75,76,77,108,130,132,136,153,160,162,168,173,179,180,199,201,215,281,420
,423,428,429,433,436,438,474,482,483,484,522,557,613,650,652,656,660,663,971,
984,1007,1011,1017,1021,1022,1202,1360,1366,1370,1373,1374,1376,1378,1379,1381
,1778,2195,2215,2216,2218,2222,2223,2224,2938],[1,2,4,5,9,12,13,22,24,26,40,41
,50,100,101,130,132,136,153,160,162,206,207,215,237,414,415,420,428,429,522,
618,619,650,652,663,971,986,987,1232,1360,1361,1363,1378,1379,1721,2195,2225,
2226,2939],[1,2,3,4,6,15,24,25,26,42,44,45,96,99,105,130,131,135,165,216,344,
425,435,437,565,651,653,664,985,1009,1014,1282,1380,1729,2228,2940],[1,5,6,7,8
,118,119,120,121,122,123,124,125,126,127,128,129,629,630,631,632,633,634,635,
636,637,638,639,640,641,642,1790,1791,1792,1793,1794,1795,1796,2941],[1,2,3,5,
6,16,28,29,33,45,48,118,185,213,214,366,382,442,443,647,878,1032,1035,1036,
1037,1382,1809,2229,2235,2942],[1,2,4,5,6,19,28,29,32,41,48,118,179,212,214,
366,383,442,443,645,880,1031,1034,1036,1037,1382,1808,2229,2234,2943],[1,2,5,6
,22,28,29,48,118,214,366,442,443,648,848,1036,1037,1382,2229,2944],[1,2,6,7,10
,44,48,124,140,146,159,214,439,441,443,644,869,1033,1384,1798,1800,1802,2945],
[1,2,5,6,8,9,44,48,121,139,145,156,214,439,440,442,643,866,1033,1383,1797,1799
,1801,2946],[1,2,4,5,6,8,19,28,32,41,42,44,46,48,121,163,179,212,214,384,387,
409,439,440,442,645,947,1027,1029,1031,1033,1034,1037,1383,1804,1808,2230,2236
,2238,2947],[1,2,3,6,7,16,29,33,44,45,47,48,124,166,185,213,214,393,394,410,
439,441,443,647,949,1028,1030,1032,1033,1035,1036,1384,1805,1809,2231,2237,
2239,2948],[1,2,3,4,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,49,50,51
,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
,78,79,80,81,82,83,84,85,86,87,89,90,91,92,94,95,96,97,98,99,100,101,102,103,
104,105,106,107,108,109,110,111,112,113,114,115,219,220,221,222,223,225,226,
227,228,229,230,231,232,233,235,239,240,244,245,246,247,249,250,251,252,253,
257,258,259,263,264,265,266,268,271,273,274,279,280,281,282,283,284,285,286,
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,
325,326,327,328,329,330,332,333,334,335,336,337,339,340,341,342,343,344,345,
665,666,668,669,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,
686,689,697,698,699,701,705,706,708,710,711,718,722,727,730,731,732,733,734,
735,736,743,744,745,746,747,748,749,750,751,752,753,754,756,759,763,764,765,
766,767,768,776,777,785,787,790,792,793,794,795,829,830,831,832,833,834,1389,
1394,1404,1405,1407,1408,1409,1410,1411,1414,1415,1416,1421,1426,1431,1434,
1476,1477,1478,1481,1486,1488,1490,1497,1498,2240,2243,2244,2245,2247,2273,
2281,2949],[1,2,3,4,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,50,51,52
,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81
,82,87,88,89,90,91,92,93,94,95,100,101,103,104,105,106,107,108,109,110,111,112
,218,219,221,222,223,224,225,226,227,228,229,230,231,232,233,234,236,237,239,
240,241,242,243,244,245,246,247,248,249,250,251,252,253,257,258,260,261,262,
263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,
282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,331,
332,333,334,335,336,337,338,339,340,346,347,348,349,350,351,665,667,668,669,
670,688,689,690,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,
709,710,711,734,735,737,738,739,740,741,742,743,750,751,752,753,754,755,756,
757,758,759,760,761,762,763,764,765,766,767,769,770,771,772,773,774,775,776,
777,784,785,786,787,788,789,790,791,792,793,794,795,799,800,801,802,803,804,
805,806,807,808,809,810,811,812,1387,1412,1413,1414,1415,1417,1418,1419,1421,
1422,1423,1424,1425,1426,1431,1432,1433,1445,1456,1457,1458,1459,1460,1461,
1466,1467,1468,1472,1473,1474,1475,1476,1477,1478,1479,1490,1491,1492,1497,
1498,1499,1504,1505,2242,2255,2266,2273,2274,2275,2287,2289,2290,2950],[1,2,3,
4,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,49,50,51,52,53,54,55,56,57
,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
,84,85,86,87,89,90,91,92,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108
,109,110,111,112,113,114,115,218,220,221,222,223,224,225,226,228,229,230,231,
232,233,234,235,236,237,238,242,243,244,245,247,250,251,254,255,256,257,258,
259,261,262,263,264,265,266,268,269,270,271,272,273,274,275,278,279,281,283,
284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,
305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,
324,325,326,327,328,329,330,331,333,334,335,336,337,338,340,341,342,343,344,
345,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,
684,685,686,687,688,691,692,693,694,695,696,700,701,707,708,709,710,711,712,
713,714,715,716,717,719,720,721,723,724,725,726,728,729,733,735,736,737,742,
744,745,746,747,748,749,750,751,752,753,754,756,757,758,759,760,761,762,767,
768,784,788,789,791,792,793,794,796,797,798,829,830,831,832,833,834,1387,1388,
1390,1391,1392,1393,1395,1396,1397,1398,1399,1400,1401,1402,1403,1406,1408,
1409,1410,1411,1415,1416,1417,1418,1419,1420,1422,1423,1424,1425,1426,1427,
1428,1429,1430,1432,1434,1480,1482,1483,1484,1485,1487,1489,2240,2241,2242,
2246,2248,2249,2250,2251,2252,2253,2254,2951],[1,2,3,4,9,10,11,12,13,14,15,16,
17,18,19,21,22,23,24,25,50,51,52,54,55,57,58,59,60,62,63,64,65,66,67,68,69,70,
72,73,74,75,76,77,79,80,81,82,83,84,85,86,89,90,91,94,95,97,98,99,100,101,103,
104,105,106,107,108,109,110,111,112,113,114,115,116,218,223,228,229,232,233,
234,235,236,237,239,240,242,243,244,245,246,247,249,250,251,252,254,256,257,
258,264,265,266,273,274,281,283,284,285,286,287,290,293,294,295,297,300,304,
306,307,308,309,310,311,312,313,314,315,317,318,319,320,321,322,323,324,325,
328,329,331,332,333,334,335,336,337,338,339,340,341,342,345,346,347,348,349,
350,351,352,356,357,667,674,675,676,680,682,683,684,688,691,694,695,696,700,
701,713,714,718,719,720,722,725,726,728,729,731,732,734,735,737,738,739,740,
741,747,749,751,756,767,776,777,778,783,784,785,787,788,790,791,792,793,794,
797,809,810,811,812,822,823,830,834,835,839,845,1390,1396,1397,1398,1399,1406,
1409,1419,1428,1432,1446,1448,1471,1472,1474,1475,1476,1477,1478,1480,1484,
1486,1488,1491,1492,1496,1501,2244,2248,2264,2266,2268,2276,2278,2952],[1,2,3,
4,9,10,11,12,13,14,15,16,17,19,21,22,23,24,25,49,50,51,52,54,55,57,62,63,64,65
,66,67,68,69,70,73,74,75,76,77,78,79,80,81,82,85,86,89,90,91,96,99,100,101,102
,103,104,105,106,107,108,109,110,111,112,113,114,117,218,220,228,229,232,233,
234,236,237,238,240,242,243,244,245,247,249,251,252,254,255,257,258,259,264,
265,266,273,274,281,283,284,285,286,287,290,300,301,302,303,304,305,316,326,
327,328,329,330,331,332,333,334,335,336,337,338,339,340,343,344,346,347,348,
349,350,351,353,354,355,667,671,684,685,686,687,688,691,692,693,694,695,696,
700,701,716,717,719,720,721,723,724,727,730,734,735,737,738,739,740,741,756,
767,768,776,777,779,780,784,787,788,790,791,792,794,796,809,810,811,812,824,
825,829,836,840,846,1388,1390,1391,1392,1393,1395,1408,1419,1427,1432,1450,
1453,1469,1472,1474,1475,1476,1478,1481,1487,1489,1491,1492,1495,1502,2243,
2246,2265,2266,2272,2277,2279,2953],[1,2,3,4,9,10,11,12,13,14,15,16,17,18,19,
20,21,22,23,24,25,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,
69,70,71,72,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,
97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,
117,220,221,222,223,225,226,228,229,230,231,232,233,235,237,240,241,243,244,
245,247,248,249,250,251,253,257,259,260,261,262,264,265,266,267,269,270,271,
272,273,274,275,276,277,278,280,282,285,286,288,289,290,291,292,293,294,295,
296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,
315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,333,334,335,
336,337,340,341,342,343,344,345,346,348,349,350,352,353,354,355,356,357,358,
359,360,361,362,363,364,365,666,668,669,671,672,673,674,675,676,677,678,679,
680,681,682,683,684,685,686,690,700,702,703,704,709,710,711,733,735,736,738,
739,740,744,745,746,747,748,749,750,751,752,753,754,755,756,758,760,766,768,
769,770,771,772,773,774,777,778,779,780,781,782,783,786,787,788,791,793,795,
807,808,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,
830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,1408,1409,
1410,1411,1412,1413,1415,1416,1425,1433,1434,1435,1436,1437,1438,1439,1440,
1441,1442,1443,1444,1466,1469,1470,1471,1472,1473,1474,1493,1494,1495,1496,
1498,1499,1500,1501,1502,1503,1506,1507,1508,1509,1510,2240,2278,2279,2280,
2282,2283,2284,2287,2288,2291,2292,2954],[1,2,3,4,10,11,12,13,14,15,16,17,18,
19,21,23,24,25,51,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,77,79,82,
83,84,85,86,87,89,90,91,92,94,95,97,98,99,100,102,103,104,105,106,107,110,111,
112,113,114,115,116,219,223,224,225,226,227,228,233,234,235,238,239,240,242,
243,246,249,250,251,252,254,255,256,257,263,264,265,266,268,271,273,274,279,
284,293,294,295,297,298,300,302,304,306,307,308,309,310,311,312,313,314,315,
317,318,319,320,321,322,323,324,325,328,329,334,336,337,341,342,343,345,348,
349,352,356,357,665,670,674,675,676,680,682,683,684,689,692,696,697,698,699,
705,706,707,708,709,713,714,715,716,719,723,724,727,728,729,730,731,732,738,
739,746,747,749,751,756,759,775,778,783,785,787,789,790,791,796,798,822,823,
830,834,835,839,845,1391,1400,1401,1404,1405,1406,1407,1409,1421,1423,1429,
1431,1447,1449,1454,1471,1472,1481,1482,1486,1487,1496,1501,1505,2247,2249,
2255,2265,2267,2271,2278,2955],[1,2,3,4,10,11,12,13,14,15,16,17,18,19,21,23,24
,25,49,51,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,77,78,79,82,83,84,85
,86,87,89,90,91,92,94,95,96,99,100,102,103,104,105,106,107,110,111,113,114,115
,117,219,220,224,225,226,227,228,233,234,239,240,242,243,246,249,250,251,254,
255,256,257,259,263,264,265,266,268,271,273,274,279,284,296,300,301,302,303,
304,305,307,308,311,312,313,316,326,327,328,329,330,336,337,341,343,344,348,
349,353,354,355,665,670,671,684,685,686,689,693,696,697,698,699,707,708,709,
712,713,714,715,718,719,721,722,725,726,728,729,738,739,745,756,759,768,775,
779,780,785,787,789,791,797,798,824,825,829,836,840,846,1389,1392,1394,1402,
1403,1406,1408,1423,1430,1431,1451,1452,1455,1469,1472,1480,1483,1488,1495,
1502,1505,2245,2250,2255,2264,2269,2270,2279,2956],[1,2,3,4,10,11,12,13,14,15,
16,17,18,19,20,21,22,23,24,25,49,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,
67,68,69,70,71,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,
96,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,220,
224,225,226,228,230,233,234,236,241,242,243,244,245,248,250,251,252,253,254,
255,256,257,259,260,261,263,264,265,266,267,268,270,271,273,274,276,277,278,
279,280,282,284,285,288,289,290,295,296,299,300,301,302,303,304,305,307,308,
311,312,313,316,326,327,328,329,330,332,334,336,337,339,340,341,343,344,346,
347,350,351,352,356,357,358,361,362,363,670,671,684,685,686,693,694,696,707,
708,709,711,712,713,714,715,719,721,725,726,727,728,729,730,734,740,741,745,
752,755,756,758,759,766,768,769,772,773,774,776,777,778,783,784,786,789,790,
791,792,795,797,798,800,802,804,806,813,814,815,816,821,828,829,835,837,844,
1392,1402,1403,1406,1408,1413,1422,1423,1430,1435,1436,1437,1454,1464,1465,
1468,1471,1476,1480,1481,1483,1491,1493,1497,1499,1503,1504,2243,2250,2271,
2275,2276,2282,2286,2957],[1,2,3,4,10,11,12,13,14,15,16,17,18,19,20,21,22,23,
24,25,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,76,77,
79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100,101,102,103,
104,105,106,107,108,109,110,111,112,113,114,115,117,223,224,225,226,228,230,
233,234,235,236,238,239,241,242,243,244,245,246,248,250,251,252,253,254,255,
256,257,260,261,263,264,265,266,267,268,270,271,273,274,276,277,278,279,280,
282,284,285,288,289,290,293,294,295,296,297,298,299,300,302,304,306,307,308,
309,310,311,312,313,314,315,317,318,319,320,321,322,323,324,325,328,329,332,
334,336,337,339,340,341,342,343,345,346,347,350,351,353,354,355,359,360,364,
365,670,674,675,676,680,682,683,684,692,694,696,707,708,709,711,713,714,715,
716,718,719,722,723,724,728,729,731,732,734,740,741,746,747,749,751,752,755,
756,758,759,766,769,772,773,774,776,777,779,780,784,785,786,789,790,791,792,
793,795,796,798,800,802,804,806,817,818,819,820,826,827,830,834,836,838,843,
1391,1400,1401,1406,1409,1413,1422,1423,1429,1438,1439,1444,1455,1462,1463,
1468,1469,1476,1477,1482,1486,1487,1488,1491,1494,1497,1499,1500,1504,2244,
2249,2269,2275,2277,2283,2285,2958],[1,2,3,4,9,10,11,12,13,14,15,16,17,18,19,
20,21,22,23,24,25,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,
71,73,74,75,76,77,79,80,81,82,87,89,90,91,92,94,95,100,101,102,103,104,105,106
,107,108,109,110,111,112,113,114,115,116,117,219,221,222,223,225,226,227,228,
229,230,231,232,233,238,239,240,244,245,246,247,249,250,251,252,253,254,255,
256,257,258,263,264,265,266,268,271,273,274,279,280,281,282,283,284,285,286,
287,288,289,290,291,292,293,294,295,296,297,298,299,332,333,334,335,336,337,
339,340,341,342,343,352,353,354,355,356,357,665,668,669,689,697,698,699,701,
705,706,708,710,711,716,719,724,725,726,734,735,736,743,750,751,752,753,754,
756,759,763,764,765,766,767,776,777,778,779,780,781,782,783,785,787,790,792,
793,794,795,796,797,798,835,836,841,842,1414,1415,1420,1421,1426,1431,1447,
1449,1451,1452,1469,1470,1471,1476,1477,1478,1480,1485,1487,1490,1497,1498,
1506,2253,2267,2270,2273,2276,2277,2288,2959],[1,2,3,4,9,10,11,12,13,14,15,16,
17,18,19,20,21,22,23,24,25,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,
68,69,70,71,73,74,75,76,77,79,80,81,82,87,89,90,91,92,94,95,100,101,103,104,
105,106,107,108,109,110,111,112,116,117,218,221,222,223,224,225,226,228,229,
230,231,232,233,234,236,237,239,242,243,244,245,246,247,250,251,252,253,257,
258,261,262,263,264,265,266,268,269,270,271,272,273,274,275,278,279,281,283,
284,285,286,287,290,291,292,293,294,295,296,297,298,299,331,333,334,335,336,
337,338,340,352,353,354,355,356,357,667,668,669,670,688,694,695,696,700,701,
707,708,709,710,711,718,722,727,730,731,732,735,737,742,750,751,752,753,754,
756,757,758,759,760,761,762,767,778,779,780,781,782,783,784,785,788,789,790,
791,792,793,794,795,835,836,841,842,1387,1415,1417,1418,1419,1422,1423,1424,
1425,1426,1432,1446,1448,1450,1453,1454,1455,1469,1470,1471,1481,1486,1488,
1490,1506,2242,2268,2269,2271,2272,2281,2288,2960],[1,2,3,4,9,10,11,12,13,14,
15,16,17,18,19,20,21,22,23,24,25,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,
65,67,68,69,70,71,74,75,76,77,80,81,82,87,88,89,90,91,92,93,94,95,100,101,102,
103,104,105,106,107,108,109,110,111,112,113,114,115,221,222,223,225,226,228,
229,230,231,232,233,237,238,239,240,241,243,244,245,246,247,248,249,250,251,
252,253,254,255,256,257,260,261,262,264,265,266,267,269,270,271,272,273,274,
275,276,277,278,280,282,285,286,288,289,290,291,292,293,294,295,296,297,298,
299,333,334,335,336,337,340,341,342,343,346,348,349,350,668,669,690,700,702,
703,704,709,710,711,716,718,719,722,724,725,726,727,730,731,732,735,736,738,
739,740,750,751,752,753,754,755,756,758,760,766,769,770,771,772,773,774,777,
785,786,787,788,790,791,793,794,795,796,797,798,807,808,1412,1413,1415,1420,
1425,1433,1462,1463,1464,1465,1466,1472,1473,1474,1480,1481,1485,1486,1487,
1488,1490,1498,1499,2253,2264,2265,2281,2285,2286,2287,2961],[1,2,3,4,9,10,11,
12,13,14,15,16,17,18,19,20,21,22,23,24,25,50,51,52,53,54,55,56,57,58,59,60,62,
63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,
90,91,92,93,94,95,97,98,99,100,101,103,104,105,106,107,108,109,110,111,112,113
,114,115,117,218,219,221,223,227,228,229,230,231,232,233,234,235,236,237,239,
240,241,242,243,244,245,246,247,248,249,252,254,256,257,258,260,261,262,263,
264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,
283,284,285,286,287,288,289,290,293,294,295,297,300,304,306,307,308,309,310,
311,312,313,314,315,317,318,319,320,321,322,323,324,325,328,329,331,332,334,
336,337,338,339,340,341,342,345,346,347,350,351,353,354,355,359,360,364,365,
665,667,668,674,675,676,680,682,683,684,688,689,690,691,694,695,696,697,698,
699,700,701,702,703,704,705,706,713,714,719,720,725,726,727,728,729,730,731,
732,734,737,740,741,742,743,747,749,751,755,756,757,758,759,760,761,762,763,
764,765,766,767,769,772,773,774,779,780,784,785,786,787,788,790,797,799,800,
801,802,803,804,805,806,809,810,811,812,817,818,819,820,826,827,830,834,836,
838,843,1390,1396,1397,1398,1399,1404,1405,1406,1407,1409,1413,1414,1417,1421,
1428,1431,1432,1433,1438,1439,1444,1450,1451,1452,1453,1456,1457,1458,1459,
1460,1461,1464,1465,1467,1468,1469,1480,1481,1484,1486,1492,1494,1500,2247,
2248,2260,2261,2262,2263,2270,2272,2274,2283,2286,2962],[1,2,3,4,9,10,11,12,13
,14,15,16,17,19,20,21,22,23,24,25,49,50,51,52,53,54,55,56,57,62,63,64,65,66,67
,68,69,70,71,73,74,75,76,77,78,79,80,81,82,85,86,87,88,89,90,91,92,93,96,99,
100,101,102,103,104,105,106,107,108,109,110,113,114,116,218,219,220,221,227,
228,229,230,231,232,233,234,236,237,238,239,240,241,242,243,244,245,246,247,
248,249,254,255,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,
272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,
300,301,302,303,304,305,316,326,327,328,329,330,331,332,336,337,338,339,340,
343,344,346,347,350,351,352,356,357,358,361,362,363,665,667,668,671,684,685,
686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,
716,717,718,719,720,721,722,723,724,734,737,740,741,742,743,755,756,757,758,
759,760,761,762,763,764,765,766,767,768,769,772,773,774,778,783,784,785,786,
787,788,796,799,800,801,802,803,804,805,806,809,810,811,812,813,814,815,816,
821,828,829,835,837,844,1388,1389,1390,1391,1392,1393,1394,1395,1408,1413,1414
,1417,1427,1431,1432,1433,1435,1436,1437,1446,1447,1448,1449,1456,1457,1458,
1459,1460,1461,1462,1463,1467,1468,1471,1487,1488,1489,1492,1493,1503,2245,
2246,2256,2257,2258,2259,2267,2268,2274,2282,2285,2963],[1,4,11,26,48,49,135,
421,847,967,1335,2964],[1,2,4,5,6,9,10,11,12,13,22,24,28,29,40,50,51,57,73,74,
82,100,101,118,139,141,144,153,168,199,218,236,237,257,258,366,445,447,450,474
,500,688,857,1039,1058,1069,1115,1512,1818,1851,2294,2965],[1,2,4,5,6,9,11,12,
13,14,19,23,25,32,35,40,50,57,63,75,81,89,103,110,118,139,141,144,153,180,201,
218,242,247,265,286,369,449,457,460,484,500,695,857,1039,1058,1072,1117,1515,
1824,1855,2294,2966],[1,2,4,5,6,8,9,10,12,13,19,20,22,23,24,31,32,34,40,44,50,
65,71,74,75,76,87,88,100,101,107,121,139,140,143,145,147,155,156,174,177,199,
200,221,237,240,241,260,262,282,367,448,449,454,455,456,479,480,500,505,690,
865,866,1040,1041,1060,1081,1083,1115,1116,1513,1514,1826,1852,1853,2295,2967]
,[1,2,4,6,7,10,11,12,13,14,19,23,25,35,39,44,57,63,65,77,87,89,103,107,124,140
,146,150,159,188,204,227,246,249,263,265,375,452,462,470,498,505,698,869,1048,
1062,1079,1118,1529,1827,1863,2296,2968],[1,2,3,4,6,7,10,13,14,16,19,21,23,24,
33,36,44,63,65,68,79,90,92,100,107,124,140,146,150,159,182,200,227,240,246,266
,268,370,453,461,463,486,505,699,869,1048,1062,1085,1116,1517,1828,1859,2296,
2969],[1,2,4,5,6,8,9,10,12,13,19,20,23,25,32,35,38,40,44,50,65,71,75,77,81,87,
93,103,107,110,121,139,140,143,145,147,155,156,174,195,201,204,221,247,248,249
,262,267,288,379,449,452,464,468,471,485,497,500,505,703,865,866,1040,1041,
1060,1077,1083,1117,1118,1518,1526,1830,1858,1860,2295,2970],[1,2,4,5,6,8,9,11
,12,13,14,19,23,25,32,35,38,40,44,50,57,63,75,81,89,103,110,121,139,141,145,
148,153,156,180,195,201,204,218,242,247,265,286,379,449,457,471,472,484,497,
500,507,695,866,867,1039,1045,1059,1072,1103,1117,1119,1526,1527,1829,1855,
1867,2300,2971],[1,2,4,6,8,9,11,12,13,14,19,23,25,35,38,44,50,57,63,75,81,89,
103,110,120,141,144,145,148,156,195,204,218,242,247,265,286,378,457,460,471,
472,497,507,695,868,1045,1058,1059,1103,1119,1528,1824,1829,1867,2301,2972],[1
,2,4,5,7,8,9,10,12,13,19,20,23,25,32,38,39,40,43,50,65,71,75,77,81,87,93,103,
107,110,125,139,142,143,146,151,154,155,174,194,201,203,221,247,248,249,262,
267,288,376,449,464,467,470,473,485,496,500,506,703,860,871,1041,1044,1063,
1083,1096,1117,1120,1519,1531,1831,1858,1869,2298,2973],[1,2,4,6,7,9,10,12,13,
19,20,23,25,35,39,44,50,65,71,75,77,81,87,93,103,107,110,124,140,141,142,146,
151,156,159,188,195,204,221,247,248,249,262,267,288,375,452,457,467,470,473,
497,498,505,507,703,861,869,1040,1046,1063,1077,1104,1118,1119,1522,1529,1831,
1860,1866,2297,2974],[1,2,4,6,7,8,9,10,12,13,19,20,23,25,35,38,39,43,44,50,65,
71,75,77,81,87,93,103,107,110,126,141,142,143,145,146,147,151,154,159,188,194,
203,204,221,247,248,249,262,267,288,377,457,464,467,468,470,471,473,496,498,
506,507,703,863,870,1044,1046,1060,1063,1096,1104,1119,1120,1525,1530,1830,
1831,1866,1869,2299,2975],[1,2,4,5,6,9,11,12,13,24,31,40,42,49,50,57,78,82,102
,118,139,141,144,153,218,238,259,380,451,500,503,687,857,1039,1058,1817,1845,
2294,2976],[1,2,3,4,5,6,9,11,12,13,21,25,33,40,45,50,57,66,86,91,113,118,139,
141,144,153,218,254,300,382,459,500,509,691,857,1039,1058,1819,1846,2294,2977]
,[1,2,4,6,8,9,11,12,13,24,31,44,46,49,50,57,78,82,102,120,141,144,145,148,156,
218,238,259,389,451,507,513,687,868,1045,1058,1059,1817,1847,2301,2978],[1,2,3
,4,6,7,10,13,14,19,21,25,36,44,47,58,63,65,91,95,112,124,140,146,150,159,227,
252,293,396,466,505,516,705,869,1048,1062,1820,1848,2296,2979],[1,2,3,4,6,7,10
,13,14,19,21,25,36,44,47,59,63,65,91,94,112,124,140,146,150,159,227,252,294,
395,465,505,517,706,869,1048,1062,1821,1849,2296,2980],[1,3,4,7,8,11,14,17,18,
21,25,39,46,47,49,61,69,86,89,113,127,148,149,150,152,167,224,256,303,404,462,
513,518,712,875,1056,1061,1065,1822,1850,2303,2981],[1,2,3,4,6,8,9,11,12,13,21
,25,37,44,45,50,57,66,86,91,113,120,141,144,145,148,156,218,254,300,392,469,
507,509,691,868,1045,1058,1059,1825,1846,2301,2982],[1,2,3,4,8,9,15,16,24,25,
34,37,43,52,96,97,98,99,105,111,119,154,191,193,333,344,345,368,371,406,558,
733,850,851,912,917,920,1551,1556,1557,1558,1559,1610,1611,2306,2367,2368,2983
],[1,2,3,4,5,6,9,11,12,13,14,15,16,17,21,40,41,44,50,52,54,55,57,64,67,68,69,
70,118,139,141,144,153,160,162,218,229,232,233,234,405,500,502,507,510,522,667
,857,1039,1047,1051,1058,1642,1841,1902,2294,2984],[1,2,3,4,6,7,10,13,14,15,19
,42,44,45,47,51,62,63,64,65,124,140,146,150,159,163,165,219,227,228,410,501,
504,505,514,515,527,665,869,1048,1049,1050,1062,1645,1843,1903,2296,2985],[1,2
,3,4,5,6,8,9,10,12,13,14,15,16,17,19,20,40,41,42,44,45,46,50,51,52,53,54,55,56
,62,63,64,65,71,121,139,140,143,145,147,155,156,160,165,166,221,228,229,230,
231,409,500,501,502,504,505,508,511,512,521,526,668,865,866,1040,1041,1047,
1049,1053,1060,1644,1646,1840,1842,1904,2295,2986],[1,2,3,4,5,6,8,9,11,15,16,
18,21,41,42,44,45,46,49,52,60,66,67,72,121,139,144,145,148,152,156,157,165,166
,220,222,235,409,502,503,509,510,511,513,519,520,526,666,866,873,1042,1043,
1054,1055,1064,1646,1647,1838,1839,1906,2302,2987],[1,2,3,4,5,6,8,9,10,12,13,
15,16,17,19,20,21,22,23,30,31,32,33,34,37,40,41,43,44,50,52,55,65,68,70,71,74,
79,80,81,92,107,108,121,140,143,153,154,155,156,158,160,161,162,170,174,175,
176,181,182,184,191,193,199,201,221,232,268,270,272,287,331,367,372,408,448,
453,454,458,475,476,477,479,491,505,506,522,523,525,529,532,544,546,552,558,
613,616,757,865,914,921,922,1040,1044,1068,1076,1085,1095,1105,1127,1183,1198,
1199,1201,1212,1513,1516,1553,1643,1878,1896,1943,2308,2402,2404,2988],[1,2,4,
5,6,9,10,12,13,14,19,20,22,23,28,29,32,35,40,41,44,50,63,65,71,73,75,76,77,81,
108,110,118,139,141,153,155,158,159,160,161,162,168,171,173,179,180,189,195,
199,201,221,227,281,286,288,289,339,366,369,405,445,447,449,457,474,478,482,
483,484,500,507,522,523,525,540,541,556,557,561,613,615,764,857,915,918,924,
1041,1046,1068,1072,1078,1098,1103,1124,1184,1202,1211,1213,1214,1512,1515,
1554,1642,1876,1890,1946,2309,2403,2407,2989],[1,2,4,5,6,9,10,11,12,13,19,20,
22,23,28,29,32,35,40,41,44,50,57,65,71,73,75,76,77,87,107,108,118,139,141,153,
156,157,160,162,168,173,174,179,180,188,189,190,199,201,218,221,261,262,263,
281,331,366,369,405,445,447,449,457,474,482,483,484,494,500,507,522,524,528,
551,557,559,560,613,616,742,857,911,918,919,1039,1045,1067,1078,1083,1098,1104
,1126,1183,1202,1206,1207,1208,1512,1515,1552,1642,1874,1891,1944,2307,2407,
2408,2990],[1,2,3,4,5,6,8,10,12,13,15,16,17,19,20,22,23,30,31,32,33,34,35,37,
38,40,41,42,43,44,46,51,55,56,62,65,71,74,77,79,80,81,108,110,121,140,143,155,
158,160,163,164,170,174,175,176,178,180,184,187,190,191,192,194,195,197,199,
201,219,231,280,284,287,288,339,367,372,379,408,409,448,452,453,454,458,464,
475,476,477,479,485,501,505,506,508,521,523,532,535,538,550,559,564,613,615,
765,865,916,922,923,926,927,1050,1052,1066,1075,1076,1077,1082,1095,1096,1097,
1111,1131,1184,1203,1209,1210,1212,1513,1516,1518,1555,1643,1644,1886,1898,
1945,2310,2404,2405,2406,2409,2991],[1,2,4,5,6,9,10,11,12,13,19,20,22,23,28,32
,40,50,57,65,71,73,75,76,77,87,107,108,118,139,141,144,153,155,173,174,206,218
,221,261,262,263,281,331,381,445,449,500,528,569,742,857,1039,1041,1058,1078,
1083,1139,1562,1584,1874,1948,2294,2992],[1,2,4,5,6,8,9,10,11,12,13,19,20,22,
23,29,35,40,44,50,57,65,71,73,75,76,77,87,107,108,121,139,140,143,145,147,153,
155,156,188,189,206,218,221,261,262,263,281,331,386,446,452,500,505,551,569,
742,865,866,1039,1040,1041,1060,1079,1080,1139,1564,1592,1873,1948,2295,2993],
[1,2,4,5,6,8,9,10,12,13,19,20,22,23,28,32,40,42,44,50,51,65,71,73,74,75,76,77,
101,108,121,139,140,143,145,147,155,156,163,168,173,209,219,221,258,280,281,
282,332,384,445,449,500,501,505,536,575,743,865,866,1040,1041,1050,1060,1069,
1078,1140,1567,1586,1875,1947,2295,2994],[1,2,4,5,6,8,9,10,11,12,13,19,20,22,
23,28,32,40,44,50,57,65,71,73,75,76,77,87,107,108,121,139,141,145,148,153,156,
159,173,174,208,218,221,261,262,263,281,331,387,445,449,500,507,528,574,742,
866,867,1039,1045,1046,1059,1078,1083,1142,1566,1602,1874,1950,2300,2995],[1,2
,4,5,7,8,9,10,12,13,19,20,22,23,28,32,40,43,46,50,51,65,71,73,74,75,76,77,101,
108,125,139,142,143,146,151,154,155,164,168,173,210,219,221,258,280,281,282,
332,401,445,449,500,506,508,536,580,743,860,871,1041,1044,1052,1063,1069,1078,
1143,1572,1594,1875,1951,2298,2996],[1,2,4,6,7,9,10,11,12,13,19,20,22,23,29,35
,44,50,57,65,71,73,75,76,77,87,107,108,124,140,141,142,146,151,156,159,188,189
,208,218,221,261,262,263,281,331,393,446,452,505,507,551,574,742,861,869,1040,
1045,1046,1063,1079,1080,1142,1569,1601,1873,1950,2297,2997],[1,2,3,4,5,7,8,9,
10,12,13,15,16,17,19,20,21,22,23,34,37,40,41,43,50,52,55,65,68,70,71,74,79,80,
81,92,107,108,125,139,142,143,146,151,154,155,162,191,193,206,221,232,268,270,
272,287,331,402,454,458,500,502,506,558,576,757,860,871,1041,1044,1051,1063,
1095,1105,1139,1570,1599,1896,1955,2298,2998],[1,2,4,6,7,9,10,12,13,14,19,20,
22,23,29,35,44,50,63,65,71,73,75,76,77,81,108,110,124,140,141,142,146,151,156,
159,189,195,208,221,227,281,286,288,289,339,393,447,457,505,507,561,574,764,
861,869,1040,1046,1048,1063,1098,1103,1144,1578,1595,1890,1954,2297,2999],[1,2
,4,5,6,8,9,10,12,13,14,19,20,22,23,28,32,40,44,50,63,65,71,73,75,76,77,81,108,
110,121,139,140,143,145,147,155,156,159,173,180,208,221,227,281,286,288,289,
339,387,445,449,500,505,556,574,764,865,866,1040,1041,1048,1060,1072,1078,1144
,1566,1593,1876,1954,2295,3000],[1,2,3,4,5,6,8,9,10,12,13,15,16,17,19,20,21,22
,23,31,33,40,41,44,50,52,55,65,68,70,71,74,79,80,81,92,107,108,121,139,140,143
,145,147,155,156,162,182,184,206,221,232,268,270,272,287,331,388,448,453,500,
502,505,552,576,757,865,866,1040,1041,1051,1060,1076,1085,1139,1571,1588,1878,
1955,2295,3001],[1,2,3,4,6,7,10,12,13,14,15,16,17,19,20,22,23,31,33,44,45,55,
56,62,63,65,71,74,76,79,80,81,101,108,124,140,146,150,159,166,177,184,209,227,
231,282,285,287,289,332,394,448,453,504,505,547,582,763,869,1048,1053,1062,
1076,1081,1140,1581,1590,1883,1953,2296,3002],[1,2,4,6,7,9,10,12,13,14,19,20,
22,23,29,35,44,50,63,65,71,73,75,76,77,81,108,110,124,140,146,150,156,159,189,
195,208,221,227,281,286,288,289,339,393,446,452,505,561,574,764,869,1040,1048,
1062,1077,1080,1144,1569,1595,1884,1954,2296,3003],[1,2,4,5,6,8,9,10,11,12,13,
19,20,22,23,29,35,40,44,50,57,65,71,73,75,76,77,87,107,108,121,139,141,145,148
,153,155,156,188,189,206,218,221,261,262,263,281,331,386,447,457,500,507,551,
569,742,866,867,1039,1041,1045,1059,1098,1104,1139,1577,1592,1891,1948,2300,
3004],[1,2,3,4,5,6,8,9,11,12,13,14,15,16,17,18,21,24,25,29,35,40,41,44,50,52,
54,55,60,64,67,82,89,90,91,94,95,105,111,121,139,144,145,148,152,156,157,160,
188,189,207,222,229,274,296,297,298,333,386,450,460,500,502,510,551,577,753,
866,873,1042,1043,1047,1064,1090,1099,1141,1579,1592,1897,1956,2302,3005],[1,2
,3,4,5,6,8,9,11,15,16,18,21,24,25,31,33,41,44,52,60,67,78,83,84,85,86,105,111,
121,139,144,145,148,152,156,157,182,184,207,222,301,306,311,333,388,451,459,
502,510,552,573,744,866,873,1042,1043,1064,1093,1102,1141,1580,1588,1892,1949,
2302,3006],[1,2,3,4,5,6,9,11,12,13,14,15,16,17,21,28,30,32,40,41,44,50,52,54,
55,57,64,67,68,69,70,118,139,141,153,156,157,160,162,169,170,171,173,174,175,
176,181,218,229,232,233,234,381,383,405,500,502,507,522,524,528,529,531,532,
533,539,543,544,545,546,667,857,911,942,945,1039,1045,1047,1051,1067,1127,1128
,1129,1130,1584,1585,1642,1669,1841,1871,2307,2413,2417,3007],[1,2,3,4,5,6,9,
10,12,13,14,15,16,17,19,20,28,30,32,40,41,44,50,51,52,53,54,55,56,62,63,64,65,
71,118,139,141,153,155,158,159,160,161,162,168,169,170,171,173,174,175,176,179
,180,190,221,228,229,230,231,381,383,405,500,502,507,521,522,523,525,528,529,
530,531,532,533,534,535,536,537,538,539,541,557,559,560,668,857,915,930,945,
1041,1046,1047,1068,1123,1126,1130,1131,1132,1133,1584,1585,1642,1672,1840,
1872,2309,2413,2418,3008],[1,2,3,4,5,6,8,9,10,12,13,14,15,16,17,19,20,28,30,32
,40,41,42,43,44,45,50,51,52,53,54,55,56,62,63,64,65,71,121,140,143,153,154,155
,156,158,160,161,162,165,166,168,169,170,171,173,174,175,176,179,180,190,221,
228,229,230,231,384,391,408,501,504,505,506,522,523,525,526,528,529,530,531,
532,533,534,535,536,537,538,539,541,557,559,560,668,865,914,933,940,1040,1044,
1049,1053,1068,1123,1126,1130,1131,1132,1133,1586,1587,1643,1670,1842,1872,
2308,2415,2419,3009],[1,2,3,4,5,6,8,10,13,14,15,19,28,30,32,40,41,42,43,44,45,
46,51,62,63,64,65,121,140,143,155,158,159,160,163,164,165,168,169,170,171,173,
179,180,219,227,228,384,387,391,408,409,501,504,505,506,508,521,523,527,536,
537,538,539,540,541,556,557,665,865,916,933,935,937,947,1048,1049,1050,1052,
1066,1122,1123,1124,1125,1586,1587,1593,1643,1644,1676,1843,1870,2310,2414,
2415,2416,2420,3010],[1,2,4,5,6,8,9,11,12,13,24,31,40,41,49,50,57,78,82,102,
121,141,144,145,148,153,157,160,162,207,218,238,259,388,451,520,522,524,573,
577,622,687,867,873,1058,1059,1067,1226,1233,1580,1817,1922,2350,3011],[1,2,4,
5,6,8,9,10,11,12,13,22,24,29,40,41,50,51,57,73,74,82,100,101,121,141,144,145,
148,153,155,157,160,162,206,207,218,236,237,257,258,386,447,450,521,522,524,
569,576,577,618,619,688,867,873,1058,1059,1067,1217,1225,1231,1232,1577,1579,
1818,1925,2350,3012],[1,2,4,5,7,8,9,10,12,13,19,20,22,23,24,34,40,41,50,65,71,
74,75,76,87,88,100,101,107,125,142,143,145,146,147,151,153,155,158,160,161,162
,205,206,207,221,237,240,241,260,262,282,402,454,455,456,522,523,525,570,572,
576,578,579,618,619,620,690,862,871,874,1060,1063,1068,1218,1221,1222,1229,
1230,1232,1570,1575,1576,1826,1924,2351,3013],[1,2,4,5,6,9,10,11,12,13,19,20,
22,23,28,32,40,41,44,50,57,65,71,73,75,76,77,87,107,108,118,139,141,153,155,
156,157,158,160,161,162,173,174,205,206,218,221,261,262,263,281,331,381,383,
405,445,449,500,507,522,523,524,525,528,569,570,571,572,578,620,621,742,857,
911,942,945,1039,1045,1067,1068,1078,1083,1137,1219,1220,1221,1223,1562,1563,
1642,1669,1874,1920,2307,2389,2393,3014],[1,2,4,5,6,9,10,12,13,19,20,22,23,28,
32,40,41,44,50,51,65,71,73,74,75,76,77,101,108,118,139,141,153,155,158,159,160
,161,162,168,173,205,206,219,221,258,280,281,282,332,381,383,405,445,449,500,
507,521,522,523,525,536,569,570,571,572,576,619,621,743,857,915,930,945,1041,
1046,1066,1068,1069,1078,1138,1222,1223,1224,1225,1562,1563,1642,1672,1875,
1921,2309,2387,2393,3015],[1,2,4,5,6,8,9,10,11,12,13,19,20,22,23,29,35,40,41,
43,44,50,57,65,71,73,75,76,77,87,107,108,121,140,143,153,154,155,156,157,158,
160,161,162,188,189,205,206,218,221,261,262,263,281,331,386,390,408,446,452,
505,506,522,523,524,525,551,569,570,571,572,578,620,621,742,865,914,938,944,
1040,1044,1067,1068,1079,1080,1137,1219,1220,1221,1223,1564,1565,1643,1673,
1873,1920,2308,2388,2390,3016],[1,2,4,5,6,8,9,10,12,13,19,20,22,23,29,31,35,40
,41,42,43,44,46,50,51,65,71,73,74,75,76,77,101,108,121,140,143,153,155,158,160
,161,162,163,164,172,177,178,189,205,206,219,221,258,280,281,282,332,386,388,
390,408,409,446,448,452,501,505,506,508,521,522,523,525,562,569,570,571,572,
576,619,621,743,865,916,931,936,938,946,1050,1052,1066,1068,1070,1080,1081,
1082,1138,1222,1223,1224,1225,1564,1565,1571,1643,1644,1675,1882,1921,2310,
2390,2391,2392,2394,3017],[1,2,3,4,5,6,8,9,11,12,13,21,25,30,33,37,40,41,50,57
,66,86,91,113,121,141,144,145,148,153,157,160,162,181,202,218,254,300,372,459,
469,490,495,522,524,542,614,691,867,873,1058,1059,1067,1190,1204,1532,1819,
1825,1926,2350,3018],[1,2,4,5,6,8,9,11,12,13,14,19,23,25,32,35,38,40,41,50,57,
63,75,81,89,103,110,121,141,144,145,148,153,157,160,162,171,180,201,202,218,
242,247,265,286,379,457,460,471,472,478,484,492,522,524,540,612,615,695,867,
873,1058,1059,1067,1186,1188,1197,1213,1527,1533,1824,1829,1928,2350,3019],[1,
2,4,5,7,8,9,10,12,13,19,20,23,25,32,38,39,40,41,50,65,71,75,77,81,87,93,103,
107,110,125,142,143,145,146,147,151,153,155,158,160,161,162,174,180,190,201,
202,221,247,248,249,262,267,288,376,464,467,468,470,471,473,477,484,485,493,
494,522,523,525,559,612,615,616,703,862,871,874,1060,1063,1068,1187,1188,1189,
1200,1208,1210,1523,1531,1534,1830,1831,1929,2351,3020],[1,2,3,4,5,6,8,9,11,12
,13,14,15,16,17,21,28,30,32,40,41,44,50,52,54,55,57,64,67,68,69,70,121,141,144
,145,148,153,157,160,162,169,170,171,173,174,175,176,181,218,229,232,233,234,
387,507,510,522,524,528,529,531,532,533,539,543,544,545,546,667,867,873,1058,
1059,1067,1127,1128,1129,1130,1602,1603,1871,1902,2350,3021],[1,2,3,4,5,7,8,9,
10,12,13,14,15,16,17,19,20,28,30,32,40,41,46,50,51,52,53,54,55,56,62,63,64,65,
71,125,142,143,145,146,147,151,153,155,158,160,161,162,168,169,170,171,173,174
,175,176,179,180,190,221,228,229,230,231,401,508,511,512,522,523,525,528,529,
530,531,532,533,534,535,536,537,538,539,541,557,559,560,668,862,871,874,1060,
1063,1068,1123,1126,1130,1131,1132,1133,1594,1596,1600,1872,1904,2351,3022],[1
,2,4,5,6,8,10,11,12,13,24,40,41,42,46,49,51,57,78,82,96,100,102,121,140,143,
144,148,155,157,160,162,207,257,259,316,409,501,503,508,513,520,521,524,565,
566,573,577,611,618,622,671,865,873,1217,1226,1271,1644,1647,1689,1832,1833,
1907,3023],[1,2,3,4,5,6,9,10,12,13,15,16,17,19,20,21,22,23,28,29,31,32,33,35,
40,41,42,44,45,50,52,55,65,68,70,71,74,79,80,81,92,107,108,118,153,156,160,162
,165,166,168,172,173,174,179,180,182,183,184,185,186,187,188,189,190,221,232,
268,270,272,287,331,366,369,380,381,382,383,405,522,526,528,549,551,552,553,
554,555,557,559,560,757,848,849,876,877,878,879,880,881,894,895,911,918,919,
939,942,943,945,1126,1134,1535,1536,1537,1538,1540,1552,1606,1607,1626,1627,
1628,1630,1632,1633,1668,1669,2304,2354,2355,2377,2380,2381,2384,3024],[1,2,3,
4,5,6,10,12,13,15,16,17,19,20,22,23,28,29,31,32,33,35,40,41,42,44,45,51,55,56,
62,65,71,74,77,79,80,81,108,110,118,155,159,160,163,165,168,172,173,177,178,
179,180,184,185,186,187,189,195,219,231,280,284,287,288,339,366,369,380,381,
382,383,405,521,527,536,547,548,549,550,556,557,561,562,765,848,849,876,877,
878,879,880,881,882,884,915,918,924,929,930,939,945,1125,1135,1535,1536,1537,
1538,1539,1554,1607,1609,1617,1618,1628,1629,1630,1631,1672,1674,2305,2352,
2353,2376,2382,2383,2384,3025],[1,2,4,5,6,9,10,12,13,19,20,22,23,28,29,31,32,
35,40,42,44,50,51,71,73,74,75,77,87,101,107,108,118,153,155,156,163,168,172,
173,174,177,178,188,189,199,200,206,209,239,241,258,262,280,331,347,366,369,
380,381,405,474,479,480,481,528,536,551,562,569,575,586,592,597,604,799,848,
849,876,877,882,884,911,918,919,929,930,954,955,1156,1160,1535,1539,1552,1606,
1607,1613,1614,1617,1618,1648,1653,1658,1659,2304,2358,2360,2361,2369,2370,
2376,3026],[1,2,3,4,5,6,10,12,13,16,19,20,21,22,23,28,29,32,33,35,40,41,44,45,
65,68,71,74,76,79,80,92,101,107,108,110,118,155,159,162,166,173,174,179,180,
182,183,185,189,190,195,199,200,206,209,245,248,268,270,282,339,347,366,369,
382,383,405,479,483,486,487,554,556,560,561,576,582,586,592,603,607,804,848,
849,878,880,894,895,915,918,924,942,943,954,955,1163,1167,1536,1540,1554,1607,
1609,1613,1614,1626,1632,1654,1655,1665,1666,2305,2358,2363,2365,2373,2374,
2380,3027],[1,2,3,4,8,9,15,16,17,19,20,23,24,25,34,37,38,43,46,52,56,75,88,92,
93,105,106,111,119,154,164,191,192,193,194,197,203,210,253,275,277,333,349,368
,371,403,406,496,499,558,564,580,596,610,807,850,851,902,907,912,917,920,948,
956,1182,1543,1544,1551,1610,1611,1616,1635,1657,1667,2306,2359,2366,2375,2385
,3028],[1,2,3,4,5,6,8,10,13,14,15,19,22,23,28,30,32,40,41,42,43,44,45,51,62,63
,64,65,101,108,109,110,121,140,143,155,158,160,165,168,169,170,171,173,179,180
,199,201,205,206,208,209,210,228,332,339,340,384,391,408,501,504,505,506,523,
536,537,538,539,541,557,583,584,585,586,593,613,615,619,621,623,734,865,933,
953,962,1049,1123,1138,1140,1143,1144,1184,1240,1241,1242,1243,1586,1587,1643,
1700,1911,1933,2401,2415,2426,3029],[1,2,3,4,5,6,9,12,13,14,15,16,17,22,23,28,
30,32,40,41,44,50,52,54,55,64,101,106,107,108,109,110,118,139,141,153,160,162,
169,170,171,173,174,175,176,199,201,205,206,208,229,331,337,338,340,381,383,
405,500,502,507,522,528,529,531,532,533,539,583,584,585,586,589,613,616,619,
620,621,737,857,945,955,961,1047,1130,1137,1139,1142,1183,1237,1238,1239,1240,
1584,1585,1642,1699,1910,1932,2400,2413,2427,3030],[1,2,3,4,5,6,9,12,13,14,15,
16,17,19,20,23,28,30,32,35,40,41,44,50,52,53,54,55,56,63,64,71,75,81,87,92,106
,107,110,118,139,141,153,158,160,161,162,169,170,171,173,174,175,176,179,180,
188,190,201,205,229,230,262,269,271,272,275,286,337,369,381,383,405,449,457,
477,484,491,494,500,502,507,522,525,528,529,530,531,532,533,534,535,539,541,
559,560,570,578,585,589,599,605,616,620,760,857,881,895,919,942,945,1047,1072,
1083,1089,1104,1130,1132,1151,1173,1175,1176,1201,1208,1221,1237,1248,1515,
1563,1584,1585,1627,1642,1888,1996,2315,2334,2389,2408,2413,3031],[1,2,3,4,5,6
,9,10,12,13,15,16,17,19,20,21,22,23,28,29,30,32,35,40,41,44,50,52,55,56,62,65,
68,70,71,73,75,76,77,79,80,87,92,106,107,108,109,118,139,141,153,158,160,161,
162,168,169,170,173,174,175,176,179,180,181,189,190,199,201,205,231,232,262,
268,270,275,278,279,281,283,338,366,369,383,405,445,447,449,457,474,475,482,
483,484,491,500,502,507,522,525,529,532,533,534,535,537,544,546,557,560,570,
578,583,589,598,605,613,620,761,857,880,895,918,942,1051,1071,1078,1083,1089,
1098,1127,1133,1145,1170,1172,1175,1198,1202,1221,1238,1250,1512,1515,1563,
1585,1626,1642,1889,1999,2313,2334,2389,2407,2417,3032],[1,2,3,4,5,6,9,10,12,
13,15,16,17,19,20,21,22,23,28,30,32,35,40,41,44,50,52,55,56,62,65,68,70,71,73,
75,76,77,79,80,87,92,106,107,108,109,118,139,141,153,155,158,160,162,170,173,
174,175,176,179,180,181,188,190,201,205,206,231,232,262,268,270,275,278,279,
281,283,338,369,381,383,405,445,449,457,476,484,491,494,500,502,507,522,523,
529,532,535,538,544,546,559,560,569,570,571,572,584,589,600,605,616,621,761,
857,881,895,919,942,945,1051,1071,1078,1083,1089,1104,1127,1131,1146,1174,1175
,1178,1199,1208,1223,1239,1249,1515,1562,1563,1585,1627,1642,1889,2000,2314,
2334,2393,2408,2417,3033],[1,2,4,5,6,8,9,10,12,13,14,19,20,22,23,28,29,32,35,
38,40,41,43,44,50,63,65,71,73,75,76,77,81,108,110,121,140,143,153,155,158,159,
160,162,168,171,173,174,179,180,189,190,194,195,201,205,206,221,227,281,286,
288,289,339,379,386,387,390,408,446,452,464,477,478,484,485,505,506,522,523,
528,540,541,556,557,559,560,561,569,570,571,572,585,593,599,607,615,621,764,
865,903,906,926,937,938,1048,1077,1080,1096,1124,1126,1151,1153,1155,1168,1210
,1213,1223,1241,1251,1518,1564,1565,1593,1634,1643,1884,2004,2321,2332,2390,
2405,2414,3034],[1,2,3,4,5,6,8,10,12,13,14,15,16,17,19,20,22,23,28,30,31,32,33
,34,37,40,41,43,44,55,56,62,63,65,71,74,76,79,80,81,101,108,121,140,143,155,
158,159,160,161,162,168,169,170,171,173,174,175,176,177,179,180,184,190,191,
199,201,206,227,231,282,285,287,289,332,367,372,387,388,408,448,453,454,458,
475,476,477,478,479,483,505,506,523,525,532,533,534,535,537,540,541,547,556,
557,560,572,576,586,593,600,607,613,619,763,865,885,891,922,931,937,1048,1076,
1081,1095,1124,1133,1147,1152,1155,1167,1212,1214,1222,1243,1252,1513,1516,
1571,1593,1619,1643,1883,2007,2319,2331,2391,2404,2414,3035],[1,2,3,4,5,6,8,9,
10,12,13,14,15,16,17,19,22,23,28,29,30,31,32,33,34,35,37,40,41,42,43,44,45,50,
51,52,54,55,62,63,64,65,73,74,75,76,77,79,80,81,101,108,109,110,121,140,143,
153,155,158,160,162,165,168,169,170,171,172,173,174,175,176,179,180,184,185,
186,187,189,191,199,201,205,206,228,229,258,281,283,284,285,286,287,290,340,
367,372,384,386,390,391,408,446,448,452,453,454,458,474,475,476,477,479,482,
483,484,501,504,505,506,522,523,528,529,531,532,533,536,537,538,539,541,549,
557,569,570,571,572,583,584,585,586,597,598,599,600,613,621,767,865,883,886,
887,888,922,933,938,1049,1070,1073,1074,1075,1076,1080,1095,1123,1130,1145,
1146,1147,1148,1149,1150,1151,1156,1202,1212,1223,1240,1253,1513,1516,1564,
1565,1586,1587,1620,1643,1887,2005,2312,2316,2317,2318,2390,2404,2415,3036],[1
,2,3,4,5,6,8,10,12,13,14,15,17,19,20,22,23,28,30,31,32,35,38,40,41,42,43,44,45
,51,53,54,56,62,63,64,65,71,74,76,77,81,101,108,109,110,121,140,143,155,158,
160,161,162,165,168,169,170,171,173,174,176,177,178,179,180,186,190,194,195,
201,206,228,230,280,282,288,289,290,340,379,384,388,391,408,448,452,464,477,
478,482,485,501,504,505,506,523,525,530,531,534,535,536,537,538,539,541,548,
557,559,560,572,576,584,593,597,607,615,619,766,865,889,892,926,931,933,1049,
1074,1077,1081,1082,1096,1123,1132,1150,1154,1155,1169,1210,1211,1222,1242,
1254,1518,1571,1586,1587,1621,1643,1885,2006,2320,2333,2391,2405,2415,3037],[1
,2,3,4,5,6,8,10,12,13,14,15,17,19,20,22,23,28,30,31,32,34,35,38,40,41,42,44,45
,46,51,53,54,56,62,63,64,65,71,74,76,77,81,101,108,109,110,121,140,143,155,158
,160,161,162,165,169,170,171,173,174,176,177,178,179,180,186,190,195,197,199,
201,205,206,228,230,280,282,288,289,290,340,367,379,387,388,390,391,409,448,
452,454,464,478,479,483,485,501,504,505,508,521,525,530,531,534,535,538,539,
540,541,548,556,559,560,571,576,583,584,585,586,599,607,613,621,766,865,886,
889,891,903,927,935,936,1049,1074,1077,1081,1082,1111,1122,1132,1149,1153,1154
,1167,1203,1214,1224,1240,1251,1513,1518,1565,1571,1587,1593,1622,1644,1885,
2003,2317,2320,2321,2331,2392,2409,2416,3038],[1,2,3,4,5,6,8,10,12,13,15,16,17
,19,20,22,23,28,30,31,32,33,35,37,38,40,41,42,44,46,51,55,56,62,65,71,74,77,79
,80,81,108,110,121,140,143,155,158,160,161,162,163,168,169,170,173,174,175,176
,178,179,180,184,187,190,192,195,201,205,206,219,231,280,284,287,288,339,372,
379,384,387,388,390,409,448,452,453,458,464,476,478,482,485,501,505,508,521,
525,532,533,534,535,536,537,550,556,557,560,571,576,585,593,597,598,599,600,
615,621,765,865,885,888,892,903,923,936,947,1050,1075,1076,1077,1082,1097,1125
,1133,1148,1152,1153,1169,1209,1211,1224,1241,1253,1516,1518,1565,1571,1586,
1593,1624,1644,1886,2002,2318,2319,2321,2333,2392,2406,2420,3039],[1,2,3,4,5,6
,8,9,10,12,13,14,15,16,17,19,22,23,28,29,30,31,32,33,35,37,38,40,41,42,44,45,
46,50,51,52,54,55,62,63,64,65,73,74,75,76,77,79,80,81,101,108,109,110,121,140,
143,153,155,160,162,165,169,170,171,172,173,174,175,176,180,184,185,186,187,
189,192,201,206,228,229,258,281,283,284,285,286,287,290,340,372,379,386,387,
388,391,409,446,448,452,453,458,464,476,478,484,485,501,504,505,508,521,522,
528,529,531,532,533,538,539,540,549,556,569,576,584,593,600,607,615,619,767,
865,885,887,889,906,923,935,946,1049,1070,1073,1074,1075,1076,1080,1097,1122,
1130,1146,1152,1154,1168,1209,1213,1225,1242,1252,1516,1518,1564,1571,1587,
1593,1625,1644,1887,2008,2316,2319,2320,2332,2394,2406,2416,3040],[1,2,3,4,5,6
,8,10,11,12,13,14,15,16,17,19,21,23,28,30,32,33,35,37,40,41,42,43,44,45,51,55,
57,62,63,64,65,67,68,69,70,77,79,87,92,106,107,110,121,140,143,155,157,158,160
,162,165,168,169,170,171,173,175,176,179,180,181,182,183,187,188,193,201,205,
228,233,263,268,271,279,284,337,372,384,390,391,408,452,453,458,476,482,491,
494,501,504,505,506,523,524,533,536,537,538,539,541,543,544,545,546,553,557,
571,578,585,589,598,605,616,620,759,865,888,905,921,933,944,1049,1075,1079,
1085,1086,1105,1123,1129,1148,1172,1176,1178,1199,1206,1219,1237,1250,1516,
1565,1586,1587,1636,1643,1879,1997,2318,2336,2388,2402,2415,3041],[1,2,3,4,5,6
,8,9,10,12,13,15,16,17,19,20,21,22,23,29,30,32,33,35,37,40,41,43,44,45,50,52,
55,56,62,65,68,70,71,73,75,76,77,79,80,87,92,106,107,108,109,121,140,143,153,
155,158,160,162,166,170,174,175,176,180,181,182,183,185,189,190,193,201,205,
206,231,232,262,268,270,275,278,279,281,283,338,372,386,390,391,408,446,452,
453,458,476,484,491,494,504,505,506,522,523,529,532,535,538,544,546,554,559,
569,570,571,572,584,589,600,605,616,621,761,865,887,905,921,938,940,1053,1073,
1080,1085,1086,1105,1127,1131,1146,1174,1175,1178,1199,1208,1223,1239,1249,
1516,1564,1565,1587,1637,1643,1881,2000,2316,2336,2390,2402,2419,3042],[1,2,3,
4,5,6,8,10,11,12,13,14,15,16,17,19,20,21,22,23,30,31,32,33,34,35,37,40,41,43,
44,45,54,55,56,57,62,65,69,70,71,74,76,77,79,80,81,87,92,106,107,108,109,121,
140,143,155,157,158,160,162,166,170,171,174,175,176,180,181,183,184,186,188,
190,191,199,201,205,231,234,261,263,269,272,278,279,287,290,338,367,372,390,
391,408,448,452,453,454,458,475,476,477,479,483,494,504,505,506,523,524,531,
532,535,538,545,546,555,559,571,578,583,589,599,605,613,620,762,865,886,905,
922,940,944,1053,1074,1076,1079,1086,1095,1128,1131,1149,1170,1173,1178,1207,
1212,1219,1238,1248,1513,1516,1565,1587,1638,1643,1880,1995,2317,2336,2388,
2404,2419,3043],[1,2,3,4,5,6,9,10,12,13,14,15,16,17,19,22,23,28,29,30,32,35,40
,41,44,50,51,52,54,55,62,63,64,65,73,74,75,76,77,79,80,81,101,108,109,110,118,
139,141,153,155,158,160,162,168,169,170,171,173,174,175,176,179,180,189,199,
201,205,206,228,229,258,281,283,284,285,286,287,290,340,366,369,381,383,405,
445,447,449,457,474,475,476,477,479,482,483,484,500,502,507,522,523,528,529,
531,532,533,536,537,538,539,541,557,569,570,571,572,583,584,585,586,597,598,
599,600,613,621,767,857,876,880,881,918,945,1047,1069,1071,1072,1078,1098,1123
,1130,1145,1146,1147,1148,1149,1150,1151,1156,1202,1212,1223,1240,1253,1512,
1515,1562,1563,1584,1585,1628,1642,1877,2005,2311,2313,2314,2315,2393,2407,
2413,3044],[1,2,4,5,6,9,10,12,13,14,19,20,22,23,28,32,35,40,41,44,50,63,65,71,
73,75,76,77,81,108,110,118,139,141,153,155,158,160,162,168,171,173,174,179,180
,190,195,201,205,206,221,227,281,286,288,289,339,369,381,383,405,445,449,457,
477,478,484,485,500,507,522,523,528,540,541,556,557,559,560,569,570,571,572,
585,593,599,607,615,621,764,857,881,884,924,930,945,1041,1072,1078,1103,1124,
1126,1151,1153,1155,1168,1210,1213,1223,1241,1251,1515,1562,1563,1584,1629,
1642,1876,2004,2315,2330,2393,2403,2418,3045],[1,2,3,4,5,6,9,10,12,13,14,15,16
,17,19,22,23,28,30,32,35,40,41,44,50,51,52,54,55,62,63,64,65,73,74,75,76,77,79
,80,81,101,108,109,110,118,139,141,153,155,160,162,168,169,170,171,173,174,175
,176,179,180,195,201,206,228,229,258,281,283,284,285,286,287,290,340,369,381,
383,405,445,449,457,476,478,484,485,500,502,507,521,522,528,529,531,532,533,
538,539,540,556,557,569,576,584,593,600,607,615,619,767,857,881,884,924,930,
945,1047,1069,1071,1072,1078,1103,1122,1130,1146,1152,1154,1168,1209,1213,1225
,1242,1252,1515,1562,1584,1585,1629,1642,1877,2008,2314,2330,2387,2403,2413,
3046],[1,2,4,5,6,9,10,12,13,19,20,22,23,28,29,32,35,40,41,44,50,51,65,71,73,74
,75,76,77,101,108,118,139,141,153,155,160,162,168,173,174,179,180,189,190,199,
201,206,219,221,258,280,281,282,332,366,369,381,405,445,447,449,457,474,479,
482,483,484,485,500,507,521,522,528,536,556,557,559,560,569,576,586,593,597,
607,613,619,743,857,876,884,918,930,1041,1069,1078,1098,1125,1126,1156,1167,
1168,1169,1202,1203,1225,1243,1254,1512,1515,1562,1584,1617,1642,1875,2009,
2311,2330,2387,2407,2418,3047],[1,2,4,5,6,8,9,10,12,13,19,20,22,23,28,29,31,32
,34,35,38,40,41,42,44,46,50,51,65,71,73,74,75,76,77,101,108,121,140,143,153,
155,160,162,163,168,172,173,174,177,178,179,180,189,190,197,199,201,206,219,
221,258,280,281,282,332,367,379,384,386,387,388,409,446,448,452,454,464,474,
479,482,483,484,485,501,505,508,521,522,528,536,556,557,559,560,562,569,576,
586,593,597,607,613,619,743,865,883,891,892,906,927,946,947,1050,1070,1080,
1081,1082,1111,1125,1126,1156,1167,1168,1169,1202,1203,1225,1243,1254,1513,
1518,1564,1571,1586,1593,1639,1644,1882,2009,2312,2331,2332,2333,2394,2409,
2420,3048],[1,2,3,4,6,7,9,10,12,13,15,16,17,19,20,21,22,23,29,31,33,35,36,39,
42,44,45,47,50,52,55,56,62,65,68,70,71,73,75,76,77,79,80,87,92,106,107,108,109
,124,140,146,156,159,163,165,166,172,177,178,182,183,184,185,186,187,188,189,
195,198,200,204,208,209,231,232,262,268,270,275,278,279,281,283,338,370,375,
393,394,410,446,452,453,461,470,480,481,486,487,488,489,497,498,504,505,514,
526,527,547,548,549,550,551,552,553,554,555,561,562,574,575,581,582,590,591,
592,595,602,603,604,609,617,623,761,869,897,898,904,928,949,1053,1073,1080,
1085,1086,1113,1134,1135,1160,1161,1162,1163,1164,1165,1166,1181,1215,1216,
1227,1245,1256,1517,1529,1569,1581,1590,1595,1640,1645,1881,2011,2325,2326,
2327,2347,2396,2410,2422,3049],[1,2,3,4,5,6,8,9,10,12,13,15,16,17,19,20,21,22,
23,28,29,31,32,33,34,35,38,40,41,42,44,45,46,50,52,55,56,62,65,68,70,71,73,75,
76,77,79,80,87,92,106,107,108,109,121,139,145,156,159,162,163,165,166,172,173,
174,177,178,179,182,183,184,185,186,187,188,189,190,195,197,200,204,208,209,
231,232,262,268,270,275,278,279,281,283,338,367,379,384,386,387,388,409,445,
449,455,471,480,481,486,487,488,489,497,498,500,502,511,526,527,547,548,549,
550,551,552,553,554,555,560,561,562,574,575,581,582,590,591,592,595,602,603,
604,609,617,623,761,866,883,891,892,906,927,946,947,1051,1071,1078,1083,1087,
1089,1134,1135,1160,1161,1162,1163,1164,1165,1166,1181,1215,1216,1227,1245,
1256,1514,1526,1566,1567,1588,1592,1639,1646,1889,2011,2322,2323,2329,2345,
2395,2412,2421,3050],[1,2,3,4,5,6,8,11,12,13,14,15,16,17,21,24,25,28,29,30,31,
32,33,35,37,38,40,41,42,44,45,46,49,55,57,64,66,67,68,69,70,78,82,85,86,89,90,
91,102,105,113,114,121,144,148,157,160,162,165,169,170,171,172,173,175,176,181
,184,185,186,187,189,192,202,207,220,233,259,274,300,301,302,303,304,305,343,
372,379,386,387,388,391,409,450,451,459,460,469,472,490,492,495,503,509,510,
513,520,524,533,539,542,543,544,545,546,549,573,577,587,594,601,606,614,622,
768,873,885,887,889,906,923,935,946,1055,1084,1090,1091,1092,1093,1094,1114,
1121,1129,1157,1158,1159,1180,1204,1205,1226,1244,1255,1532,1533,1579,1580,
1603,1604,1625,1647,1899,2010,2335,2342,2343,2344,2397,2411,2423,3051],[1,2,4,
5,6,9,10,12,13,19,20,22,23,24,32,40,41,44,50,65,71,74,75,76,87,88,100,101,107,
118,139,141,153,155,158,159,160,161,162,174,199,205,206,207,221,237,240,241,
260,262,282,383,405,449,479,500,507,522,523,525,570,572,576,578,579,618,619,
620,690,857,915,942,955,1041,1046,1068,1083,1115,1218,1221,1222,1229,1230,1232
,1563,1642,1665,1852,1924,2309,2389,2398,3052],[1,2,4,5,6,9,10,11,12,13,22,24,
28,40,41,44,50,51,57,73,74,82,100,101,118,139,141,153,155,156,157,160,162,168,
199,206,207,218,236,237,257,258,381,405,445,474,500,507,521,522,524,569,576,
577,618,619,688,857,911,930,955,1039,1045,1067,1069,1115,1217,1225,1231,1232,
1562,1642,1658,1851,1925,2307,2387,2398,3053],[1,2,4,5,6,8,10,11,12,13,19,23,
24,35,40,41,42,43,44,46,51,57,65,77,82,87,100,107,121,140,143,155,157,158,160,
162,163,164,188,200,205,207,219,239,240,257,263,390,408,409,452,481,501,505,
506,508,521,523,524,571,577,578,618,620,689,865,916,944,951,1050,1052,1066,
1079,1116,1217,1219,1228,1229,1565,1643,1644,1663,1854,1923,2310,2388,2399,
3054],[1,2,4,5,6,8,9,10,12,13,19,20,22,23,24,31,40,41,43,44,50,65,71,74,75,76,
87,88,100,101,107,121,140,143,153,154,155,156,158,160,161,162,177,200,205,206,
207,221,237,240,241,260,262,282,388,408,448,480,505,506,522,523,525,570,572,
576,578,579,618,619,620,690,865,914,931,951,1040,1044,1068,1081,1116,1218,1221
,1222,1229,1230,1232,1571,1643,1660,1853,1924,2308,2391,2399,3055],[1,2,4,5,6,
9,10,12,13,19,22,23,24,28,29,32,35,40,41,44,50,65,73,75,76,77,100,101,107,108,
118,139,141,153,160,162,168,173,179,180,189,199,201,206,207,237,240,281,331,
332,346,347,366,369,405,445,447,449,457,474,482,483,484,500,507,522,557,586,
593,613,616,618,619,809,857,918,955,1078,1098,1115,1139,1183,1191,1192,1202,
1232,1243,1264,1512,1515,1613,1642,1913,2052,2398,2400,2407,3056],[1,2,3,4,5,6
,8,10,12,13,15,16,17,19,22,23,24,30,31,32,33,34,37,40,41,43,44,55,65,74,79,80,
81,100,106,107,108,109,110,121,140,143,155,158,160,170,174,175,176,184,191,199
,200,201,205,207,208,240,243,287,338,339,346,351,367,372,408,448,453,454,458,
475,476,477,479,505,506,523,532,583,589,590,613,615,618,620,811,865,922,951,
953,1076,1095,1116,1144,1184,1191,1195,1212,1229,1238,1258,1513,1516,1615,1643
,1916,2051,2399,2401,2404,3057],[1,2,4,5,6,9,12,13,14,19,20,22,23,32,35,40,41,
44,50,63,71,75,76,81,87,107,108,110,118,139,141,153,158,160,161,162,171,174,
180,195,199,201,205,206,246,248,262,286,289,331,351,369,383,405,449,457,478,
483,484,500,507,522,525,540,570,578,607,613,615,616,620,801,857,924,942,955,
1072,1083,1103,1139,1183,1189,1195,1213,1214,1221,1262,1515,1563,1642,1654,
1939,2043,2389,2400,2403,3058],[1,2,4,5,6,8,10,11,12,13,19,20,22,23,32,35,38,
40,41,43,44,57,65,71,76,77,81,87,107,108,110,121,140,143,155,157,158,160,162,
174,180,188,190,194,195,199,201,205,208,242,248,261,263,288,339,351,379,390,
408,452,464,477,483,485,494,505,506,523,524,559,571,578,609,613,615,620,802,
865,926,944,953,1077,1079,1096,1144,1184,1186,1195,1207,1210,1219,1257,1518,
1565,1643,1656,1938,2041,2388,2401,2405,3059],[1,2,3,4,5,6,8,10,12,13,16,19,20
,21,22,23,30,31,33,37,40,41,43,44,65,68,71,74,76,79,80,92,101,107,108,110,121,
140,143,155,158,160,161,162,175,177,181,182,193,199,201,206,208,245,248,268,
270,282,339,347,372,388,408,448,453,458,475,476,491,505,506,523,525,544,572,
576,602,613,615,616,619,804,865,921,931,953,1081,1085,1105,1144,1184,1189,1192
,1198,1199,1222,1259,1516,1571,1643,1649,1937,2042,2391,2401,2402,3060],[1,2,4
,5,6,9,10,12,13,19,20,22,23,28,32,35,40,41,44,50,51,71,73,74,75,77,87,101,107,
108,118,139,141,153,155,160,162,168,174,180,188,190,199,201,206,239,241,258,
262,280,331,347,369,381,405,445,449,457,479,484,485,494,500,507,521,522,559,
569,576,597,613,616,619,799,857,919,930,955,1069,1083,1104,1139,1183,1185,1192
,1203,1208,1225,1263,1515,1562,1642,1648,1934,2044,2387,2400,2408,3061],[1,2,3
,4,5,6,8,10,12,13,15,16,17,19,20,23,24,30,32,35,38,40,41,43,44,45,55,56,62,65,
71,77,81,88,92,100,107,110,121,140,143,155,158,160,166,170,174,175,176,180,190
,194,195,200,201,205,207,231,240,243,248,260,272,288,379,391,408,452,464,477,
485,487,504,505,506,523,532,535,538,559,599,605,608,615,618,620,704,865,926,
940,951,1053,1077,1096,1116,1131,1210,1229,1246,1248,1257,1258,1518,1587,1643,
1651,1864,1976,2399,2405,2419,3062],[1,2,3,4,5,6,8,10,13,14,16,19,21,23,24,28,
30,32,33,37,40,41,43,44,63,65,68,79,90,92,100,107,121,140,143,155,158,159,160,
168,171,173,175,179,180,181,182,193,200,201,205,207,227,240,246,266,268,372,
387,408,453,458,476,486,491,505,506,523,540,541,544,556,557,598,605,606,616,
618,620,699,865,921,937,951,1048,1085,1105,1116,1124,1199,1229,1247,1250,1262,
1264,1516,1593,1643,1650,1859,1979,2399,2402,2414,3063],[1,2,4,5,6,9,10,12,13,
19,20,22,23,24,28,32,35,40,41,44,50,65,71,74,75,76,87,88,100,101,107,118,139,
141,153,155,160,162,168,173,174,179,180,188,190,199,201,206,207,221,237,240,
241,260,262,282,369,381,405,449,457,479,484,494,500,507,522,528,557,559,560,
597,607,608,616,618,619,690,857,919,930,955,1041,1083,1104,1115,1126,1208,1232
,1246,1254,1263,1264,1515,1584,1642,1648,1852,1981,2398,2408,2418,3064],[1,2,3
,4,5,6,9,12,13,14,15,16,17,19,21,22,23,24,30,32,35,40,41,44,50,52,55,63,68,70,
75,76,80,81,90,100,101,110,118,139,141,153,160,162,170,171,174,175,176,180,181
,195,199,201,206,207,232,237,243,245,266,285,286,369,383,405,449,457,478,483,
484,500,502,507,522,529,532,540,544,546,600,606,607,615,618,619,700,857,924,
942,955,1051,1072,1103,1115,1127,1213,1232,1247,1252,1258,1259,1515,1585,1642,
1654,1856,1978,2398,2403,2417,3065],[1,2,4,5,6,9,12,13,14,19,20,22,23,32,35,40
,41,44,50,63,71,75,76,81,87,107,108,110,118,139,141,153,160,162,171,174,180,
188,190,195,201,205,206,208,246,248,262,286,289,331,351,369,405,449,457,478,
484,494,500,507,522,540,559,599,607,609,615,616,620,621,801,857,919,924,961,
1072,1083,1103,1104,1137,1139,1142,1193,1208,1213,1251,1257,1262,1515,1642,
1682,1939,1942,2030,2403,2408,2427,3066],[1,2,3,4,5,6,8,10,12,13,16,19,20,21,
22,23,30,32,33,35,37,38,40,41,43,44,65,68,71,77,79,80,81,92,101,107,108,110,
121,140,143,155,158,160,174,175,180,181,182,190,193,194,195,201,205,206,209,
210,241,245,268,270,288,332,351,372,379,408,452,453,458,464,476,477,485,491,
505,506,523,544,559,600,603,605,610,615,616,619,621,806,865,921,926,962,1077,
1085,1096,1105,1138,1140,1143,1193,1199,1210,1249,1259,1263,1516,1518,1643,
1683,1936,1941,2031,2402,2405,2426,3067],[1,2,4,5,6,8,9,10,12,13,14,19,20,22,
23,28,32,40,41,43,44,50,63,65,71,73,75,76,77,81,108,110,121,140,143,153,154,
155,156,158,159,160,161,162,168,171,173,179,180,199,201,208,221,227,281,286,
288,289,339,387,408,474,478,482,483,484,505,506,522,523,525,540,541,556,557,
574,613,615,764,865,914,937,953,1040,1044,1048,1068,1124,1144,1184,1202,1211,
1213,1214,1593,1643,1664,1946,1954,2308,2401,2414,3068],[1,2,3,4,5,6,8,10,12,
13,15,16,17,19,20,22,23,30,32,40,41,42,43,44,45,46,51,55,56,62,65,71,74,77,79,
80,81,108,110,121,140,143,155,158,160,163,164,166,170,174,175,176,180,190,199,
201,208,219,231,280,284,287,288,339,391,408,409,475,476,477,479,485,501,504,
505,506,508,521,523,532,535,538,559,581,613,615,765,865,916,940,953,1050,1052,
1053,1066,1131,1144,1184,1203,1209,1210,1212,1587,1643,1644,1662,1945,1952,
2310,2401,2419,3069],[1,2,4,5,6,9,10,11,12,13,19,20,22,23,28,32,40,41,44,50,57
,65,71,73,75,76,77,87,107,108,118,139,141,153,155,156,157,160,162,168,173,174,
179,180,190,199,201,206,218,221,261,262,263,281,331,381,405,474,482,483,484,
494,500,507,522,524,528,557,559,560,569,613,616,742,857,911,930,955,1039,1041,
1045,1067,1126,1139,1183,1202,1206,1207,1208,1584,1642,1658,1944,1948,2307,
2400,2418,3070],[1,2,3,4,5,6,9,10,12,13,15,16,17,19,20,21,22,23,30,32,40,41,44
,50,52,55,65,68,70,71,74,79,80,81,92,107,108,118,139,141,153,155,158,159,160,
161,162,170,174,175,176,181,199,201,206,221,232,268,270,272,287,331,383,405,
475,476,477,479,491,500,502,507,522,523,525,529,532,544,546,576,613,616,757,
857,915,942,955,1041,1046,1051,1068,1127,1139,1183,1198,1199,1201,1212,1585,
1642,1665,1943,1955,2309,2400,2417,3071],[1,2,4,5,6,8,10,11,12,13,19,20,22,23,
31,35,40,41,43,44,57,65,71,74,76,77,87,101,107,108,121,140,143,155,157,158,160
,161,162,177,188,205,206,209,210,236,241,261,263,282,332,347,388,390,408,448,
452,505,506,523,524,525,571,572,576,578,604,619,620,621,800,865,931,944,962,
1079,1081,1138,1140,1143,1219,1220,1222,1230,1231,1235,1565,1571,1643,1710,
1935,2023,2388,2391,2426,3072],[1,2,4,5,6,9,10,12,13,19,20,22,23,28,32,40,41,
44,50,51,71,73,74,75,77,87,101,107,108,118,139,141,153,155,158,160,161,162,168
,174,205,206,208,239,241,258,262,280,331,347,381,383,405,445,449,500,507,521,
522,525,569,570,571,576,578,597,619,620,621,799,857,930,942,961,1069,1083,1137
,1139,1142,1221,1224,1225,1228,1230,1235,1562,1563,1642,1708,1934,2022,2387,
2389,2427,3073],[1,2,4,5,6,9,10,12,13,19,22,23,25,28,29,32,35,40,41,44,50,65,
73,75,76,77,103,107,108,110,118,139,141,153,160,162,168,173,179,180,189,199,
201,202,204,205,206,208,247,249,281,331,339,350,351,366,369,405,445,447,449,
457,474,482,483,484,500,507,522,557,585,593,595,612,613,615,620,621,810,857,
918,958,961,1078,1098,1117,1119,1137,1139,1142,1188,1194,1195,1202,1241,1260,
1512,1515,1642,1680,1914,1918,2028,2407,2425,2427,3074],[1,2,3,4,5,6,8,10,12,
13,15,16,17,19,22,23,25,30,31,32,33,34,37,40,41,43,44,55,65,74,79,80,81,101,
103,106,107,108,109,121,140,143,155,158,160,170,174,175,176,184,191,199,201,
202,203,204,205,206,209,210,244,249,287,332,338,347,350,367,372,408,448,453,
454,458,475,476,477,479,505,506,523,532,584,589,591,596,612,613,616,619,621,
812,865,922,960,962,1076,1095,1118,1120,1138,1140,1143,1187,1192,1194,1212,
1239,1261,1513,1516,1643,1681,1917,1919,2029,2404,2424,2426,3075],[1,2,4,5,6,9
,10,11,12,13,19,20,22,23,40,41,44,50,57,65,71,73,75,76,77,87,107,108,118,139,
141,153,155,156,157,158,159,160,161,162,205,206,208,218,221,261,262,263,281,
331,405,500,507,522,523,524,525,569,570,571,572,574,578,620,621,742,857,911,
915,961,1039,1041,1045,1046,1067,1068,1137,1139,1142,1219,1220,1221,1223,1642,
1678,1920,1948,1950,2307,2309,2427,3076],[1,2,4,5,6,8,9,10,12,13,19,20,22,23,
40,41,42,43,44,46,50,51,65,71,73,74,75,76,77,101,108,121,140,143,153,154,155,
156,158,160,161,162,163,164,205,206,209,210,219,221,258,280,281,282,332,408,
409,501,505,506,508,521,522,523,525,569,570,571,572,575,576,580,619,621,743,
865,914,916,962,1040,1044,1050,1052,1066,1068,1138,1140,1143,1222,1223,1224,
1225,1643,1644,1679,1921,1947,1951,2308,2310,2426,3077],[1,2,4,5,6,9,10,12,13,
19,20,23,25,32,35,40,41,44,50,65,71,75,77,81,87,93,103,107,110,118,139,141,153
,155,158,159,160,161,162,174,180,188,190,201,202,204,221,247,248,249,262,267,
288,369,405,449,457,477,484,485,493,494,498,500,507,522,523,525,559,612,615,
616,703,857,915,919,958,1041,1046,1068,1083,1104,1117,1119,1187,1188,1189,1200
,1208,1210,1515,1642,1684,1858,1866,1929,2309,2408,2425,3078],[1,2,4,5,6,9,11,
12,13,14,19,23,25,32,35,40,41,44,50,57,63,75,81,89,103,110,118,139,141,153,156
,157,160,162,171,180,195,201,202,204,218,242,247,265,286,369,405,449,457,478,
484,492,497,500,507,522,524,540,612,615,695,857,911,924,958,1039,1045,1067,
1072,1103,1117,1119,1186,1188,1197,1213,1515,1642,1685,1855,1867,1928,2307,
2403,2425,3079],[1,2,3,4,5,6,8,10,13,16,19,21,23,25,30,33,37,40,41,42,43,44,46
,51,65,68,79,91,92,103,107,121,140,143,155,158,160,163,164,175,181,182,193,201
,202,203,204,219,239,249,264,268,372,408,409,453,458,476,488,490,491,499,501,
505,506,508,521,523,544,612,616,697,865,916,921,960,1050,1052,1066,1085,1105,
1118,1120,1185,1187,1196,1199,1516,1643,1644,1688,1862,1868,1927,2310,2402,
2424,3080],[1,2,4,5,6,8,9,10,12,13,19,20,23,25,32,35,38,40,41,43,44,50,65,71,
75,77,81,87,93,103,107,110,121,140,143,153,154,155,156,158,160,161,162,174,180
,190,194,195,201,202,203,204,221,247,248,249,262,267,288,379,408,452,464,477,
484,485,493,494,496,497,505,506,522,523,525,559,612,615,616,703,865,914,926,
960,1040,1044,1068,1077,1096,1118,1120,1187,1188,1189,1200,1208,1210,1518,1643
,1687,1860,1869,1929,2308,2405,2424,3081],[1,2,4,5,6,8,9,11,12,13,24,40,41,42,
46,49,50,57,78,82,102,121,141,144,145,148,153,157,160,162,207,218,238,259,409,
503,513,520,522,524,573,577,622,687,867,873,1058,1059,1067,1226,1233,1647,1845
,1847,1922,2350,3082],[1,2,4,5,6,9,10,12,13,19,22,23,24,28,32,40,41,44,50,65,
73,75,76,77,100,101,107,108,118,139,141,153,155,158,160,162,173,199,205,206,
207,208,237,240,281,331,332,346,347,381,383,405,445,449,500,507,522,523,569,
570,571,572,586,618,619,620,621,809,857,945,955,961,1078,1115,1137,1138,1139,
1142,1223,1229,1232,1234,1235,1562,1563,1642,1699,1913,2026,2393,2398,2427,
3083],[1,2,4,5,6,8,9,10,12,13,19,22,23,24,29,35,40,41,43,44,50,65,73,75,76,77,
100,101,107,108,121,140,143,153,155,158,160,162,189,200,205,206,207,209,210,
237,240,281,331,332,346,347,386,390,408,446,452,505,506,522,523,569,570,571,
572,592,618,619,620,621,809,865,938,951,962,1080,1116,1137,1138,1140,1143,1223
,1229,1232,1234,1235,1564,1565,1643,1701,1912,2026,2390,2399,2426,3084],[1,2,4
,5,6,9,10,12,13,19,22,23,25,28,32,40,41,44,50,65,73,75,76,77,103,107,108,110,
118,139,141,153,155,158,160,162,173,199,201,202,204,205,206,247,249,281,331,
339,350,351,381,383,405,445,449,500,507,522,523,569,570,571,572,593,612,613,
615,616,621,810,857,945,955,958,1078,1117,1119,1139,1183,1184,1187,1188,1193,
1194,1223,1562,1563,1642,1704,1914,2027,2393,2400,2425,3085],[1,2,4,5,6,8,9,10
,12,13,19,22,23,25,29,35,40,41,43,44,50,65,73,75,76,77,103,107,108,110,121,140
,143,153,155,158,160,162,189,199,201,202,203,204,205,206,208,247,249,281,331,
339,350,351,386,390,408,446,452,505,506,522,523,569,570,571,572,595,612,613,
615,616,621,810,865,938,953,960,1080,1118,1120,1144,1183,1184,1187,1188,1193,
1194,1223,1564,1565,1643,1705,1915,2027,2390,2401,2424,3086],[1,2,4,5,6,8,10,
11,12,13,14,19,23,25,28,32,35,40,41,43,44,57,63,65,77,87,89,103,107,121,140,
143,155,157,158,159,160,162,168,171,173,179,180,188,201,202,203,204,205,227,
246,249,263,265,387,390,408,452,482,492,494,498,505,506,523,524,540,541,556,
557,571,578,612,616,620,698,865,937,944,960,1048,1079,1118,1120,1124,1187,1197
,1206,1219,1260,1262,1565,1593,1643,1690,1863,1987,2388,2414,2424,3087],[1,2,3
,4,5,6,8,10,12,13,15,16,17,19,20,22,23,25,30,31,32,40,41,43,44,45,55,56,62,65,
71,74,76,81,92,93,101,103,107,121,140,143,155,158,160,161,162,166,170,174,175,
176,177,180,190,201,202,203,204,206,231,241,244,249,267,272,282,388,391,408,
448,477,489,491,493,504,505,506,523,525,532,535,538,559,572,576,612,616,619,
702,865,931,940,960,1053,1081,1118,1120,1131,1187,1200,1201,1222,1261,1263,
1571,1587,1643,1692,1861,1983,2391,2419,2424,3088],[1,2,3,4,5,6,9,10,12,13,15,
16,17,21,22,23,25,28,30,32,40,41,44,50,51,52,55,68,70,73,74,77,79,91,101,103,
110,118,139,141,153,155,160,162,168,170,174,175,176,181,201,202,204,206,232,
244,245,247,258,264,284,381,383,405,445,476,482,485,490,500,502,507,521,522,
529,532,544,546,569,576,612,615,619,701,857,930,942,958,1051,1069,1117,1119,
1127,1188,1196,1209,1225,1259,1261,1562,1585,1642,1691,1857,1984,2387,2417,
2425,3089],[1,2,4,5,6,9,10,12,13,19,20,23,25,28,32,40,41,44,50,65,71,75,77,81,
87,93,103,107,110,118,139,141,153,155,158,160,161,162,168,173,174,179,180,190,
201,202,204,205,221,247,248,249,262,267,288,381,383,405,449,478,482,485,493,
500,507,522,525,528,557,559,560,570,578,612,615,620,703,857,930,942,958,1041,
1083,1117,1119,1126,1188,1200,1211,1221,1257,1260,1563,1584,1642,1691,1858,
1985,2389,2418,2425,3090],[1,2,3,4,5,6,8,10,13,14,15,19,23,24,25,28,30,32,40,
41,42,43,44,45,51,62,63,64,65,100,103,104,105,106,107,110,121,140,143,155,158,
160,165,168,169,170,171,173,179,180,200,201,202,203,204,205,207,228,240,249,
336,337,384,391,408,501,504,505,506,523,536,537,538,539,541,557,585,587,588,
589,612,616,617,618,620,787,865,933,951,960,1049,1116,1118,1120,1123,1187,1229
,1236,1237,1260,1264,1586,1587,1643,1706,1963,1972,2399,2415,2424,3091],[1,2,3
,4,5,6,9,12,13,14,15,16,17,22,23,24,25,28,30,32,40,41,44,50,52,54,55,64,100,
101,103,104,105,108,109,110,118,139,141,153,160,162,169,170,171,173,174,175,
176,199,201,202,204,206,207,229,237,243,244,247,336,340,381,383,405,500,502,
507,522,528,529,531,532,533,539,584,587,588,593,612,613,615,618,619,788,857,
945,955,958,1047,1115,1117,1119,1130,1188,1232,1236,1242,1258,1261,1584,1585,
1642,1704,1962,1970,2398,2413,2425,3092],[1,2,3,4,5,6,8,9,11,12,13,21,25,30,40
,41,45,50,57,66,86,91,113,121,141,144,145,148,153,157,160,162,181,202,218,254,
300,391,490,495,509,522,524,542,614,691,867,873,1058,1059,1067,1190,1204,1604,
1846,1926,2350,3093],[1,2,3,4,5,6,8,10,12,13,14,15,16,17,19,20,22,23,28,30,32,
40,41,43,44,45,55,56,62,63,65,71,74,76,79,80,81,101,108,121,140,143,155,158,
159,160,166,168,170,171,173,174,175,176,179,180,190,205,206,209,210,227,231,
282,285,287,289,332,387,391,408,504,505,506,523,532,535,538,540,541,556,557,
559,582,597,598,599,600,607,619,621,763,865,937,940,962,1048,1053,1124,1131,
1138,1140,1143,1251,1252,1253,1254,1587,1593,1643,1711,1931,1953,2414,2419,
2426,3094],[1,2,3,4,5,6,9,10,12,13,15,16,17,19,20,21,22,23,28,30,32,40,41,44,
50,52,55,65,68,70,71,74,79,80,81,92,107,108,118,139,141,153,155,160,162,168,
170,173,174,175,176,179,180,181,190,205,206,208,221,232,268,270,272,287,331,
381,383,405,500,502,507,522,528,529,532,544,546,557,559,560,576,597,598,599,
600,605,620,621,757,857,930,942,961,1041,1051,1126,1127,1137,1139,1142,1248,
1249,1250,1253,1584,1585,1642,1708,1930,1955,2417,2418,2427,3095],[1,2,3,4,5,6
,9,10,12,13,15,16,17,21,22,23,25,28,29,31,32,33,35,40,42,44,45,50,51,52,55,68,
70,73,74,77,79,91,101,103,110,118,153,155,156,165,166,168,172,173,174,182,183,
184,185,186,187,188,189,199,206,232,244,245,247,258,264,284,366,369,380,381,
382,405,474,479,526,528,536,549,551,552,553,554,555,569,586,597,701,849,852,
876,877,878,879,884,894,911,918,919,930,939,943,955,1134,1156,1538,1539,1541,
1552,1608,1609,1613,1617,1630,1632,1633,1648,1658,1668,2355,2362,2363,2370,
2379,2382,2439,3096],[1,2,3,4,5,6,10,13,16,19,21,23,25,28,29,32,33,35,40,41,44
,45,51,65,68,79,91,92,103,107,118,155,159,160,166,168,173,179,180,182,183,185,
189,195,200,209,219,239,249,264,268,366,369,381,382,383,405,486,487,521,536,
554,556,557,561,582,592,603,697,849,852,876,878,880,881,884,894,915,918,924,
930,943,945,954,1125,1163,1538,1540,1541,1554,1606,1608,1614,1617,1628,1629,
1632,1655,1666,1672,2352,2360,2364,2374,2377,2379,2438,3097],[1,2,3,4,5,6,10,
12,13,15,16,17,19,20,22,23,25,28,29,31,32,33,35,40,41,42,44,45,55,56,62,65,71,
74,76,81,92,93,101,103,107,118,155,159,162,163,165,172,173,174,177,178,179,180
,184,185,186,187,189,190,195,199,206,231,241,244,249,267,272,282,366,369,380,
382,383,405,479,483,527,547,548,549,550,556,560,561,562,576,586,607,702,849,
852,877,878,879,880,882,895,915,918,924,929,939,942,955,1135,1167,1537,1540,
1542,1554,1606,1608,1613,1618,1626,1630,1631,1654,1665,1674,2353,2361,2362,
2373,2378,2381,2438,3098],[1,2,4,5,6,9,10,12,13,19,20,23,25,28,29,31,32,35,40,
41,42,44,50,65,71,75,77,81,87,93,103,107,110,118,153,156,160,162,163,168,172,
173,174,177,178,179,180,188,189,190,200,209,221,247,248,249,262,267,288,366,
369,380,381,383,405,480,481,522,528,551,557,559,560,562,575,592,604,703,849,
852,876,877,880,881,882,895,911,918,919,929,942,945,954,1126,1160,1537,1539,
1542,1552,1608,1609,1614,1618,1626,1627,1628,1653,1659,1669,2354,2364,2365,
2369,2378,2383,2439,3099],[1,2,3,4,5,6,10,12,13,15,16,17,19,20,22,23,28,29,31,
32,33,35,40,41,42,44,45,51,55,71,74,77,79,81,92,106,107,108,109,110,118,155,
162,165,168,172,173,174,179,184,185,186,187,189,190,200,201,204,206,208,209,
239,248,272,280,284,338,351,366,369,380,381,382,383,405,482,485,536,549,560,
576,590,591,592,593,595,597,617,623,803,849,876,877,878,879,880,884,895,918,
930,939,942,954,958,961,1169,1245,1537,1538,1539,1540,1606,1609,1614,1617,1626
,1630,1680,1691,1702,1703,1708,2360,2365,2381,2382,2429,2433,2435,3100],[1,2,3
,4,5,6,10,12,13,16,19,20,21,22,23,28,29,31,32,33,35,40,41,42,44,45,65,68,71,77
,79,80,81,92,101,107,108,110,118,160,163,166,168,172,173,177,178,179,180,182,
183,185,189,199,201,204,206,208,241,245,268,270,288,332,351,366,369,380,381,
382,383,405,488,489,554,557,562,581,586,593,595,602,613,619,806,849,876,877,
878,880,881,882,894,918,929,943,945,955,958,961,1165,1243,1537,1538,1539,1540,
1606,1609,1613,1618,1628,1632,1680,1694,1699,1704,1709,2361,2363,2377,2383,
2429,2432,2436,3101],[1,2,3,4,5,6,9,10,12,13,15,16,17,19,20,21,22,23,28,29,31,
32,33,35,40,42,44,45,50,52,55,56,62,65,68,70,71,73,75,76,77,79,80,87,92,106,
107,108,109,118,153,155,156,159,163,165,166,172,173,174,177,178,180,182,183,
184,185,186,187,188,189,195,200,201,204,206,208,209,231,232,262,268,270,275,
278,279,281,283,338,366,369,380,382,405,480,481,484,485,486,487,488,489,497,
498,526,527,528,547,548,549,550,551,552,553,554,555,556,561,562,569,574,575,
581,582,590,591,592,593,595,602,603,604,607,609,617,623,761,877,878,879,882,
894,911,915,918,919,924,929,939,943,954,958,961,1134,1135,1160,1161,1162,1163,
1164,1165,1166,1168,1181,1215,1216,1227,1245,1256,1552,1554,1614,1618,1630,
1631,1632,1633,1653,1655,1659,1666,1668,1674,1678,1680,1682,1684,1685,1694,
1702,1703,1709,2011,2353,2355,2369,2374,2430,2432,2435,2445,2452,2453,2462,
3102],[1,2,4,5,6,9,10,12,13,19,20,22,23,28,29,32,35,40,41,44,50,51,65,71,73,74
,75,76,77,101,108,118,153,155,156,159,160,162,168,173,174,179,180,188,189,190,
195,199,201,204,206,208,219,221,258,280,281,282,332,366,369,381,383,405,474,
479,482,483,484,485,497,498,521,522,528,536,551,556,557,559,560,561,569,574,
576,586,593,595,597,607,609,613,619,743,876,880,881,884,895,911,915,918,919,
924,930,942,945,955,958,961,1125,1126,1156,1167,1168,1169,1181,1202,1203,1225,
1243,1254,1552,1554,1613,1617,1626,1627,1628,1629,1648,1654,1658,1665,1669,
1672,1678,1680,1682,1684,1685,1691,1699,1704,1708,2009,2352,2354,2370,2373,
2430,2433,2436,2444,2446,2447,2465,3103],[1,2,3,4,5,6,8,9,10,12,13,15,16,17,19
,20,21,22,23,28,29,30,31,32,33,34,35,37,38,40,41,42,43,44,45,46,50,52,55,56,62
,65,68,70,71,73,75,76,77,79,80,87,92,106,107,108,109,121,153,154,156,158,159,
160,161,162,163,164,165,166,168,169,170,172,173,174,175,176,177,178,179,180,
181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,197,199,200,201,
203,204,205,208,209,210,231,232,262,268,270,275,278,279,281,283,338,367,372,
379,384,386,387,388,390,391,408,409,474,475,480,481,482,483,484,486,487,488,
489,491,496,497,498,499,522,525,526,527,529,532,533,534,535,537,544,546,547,
548,549,550,551,552,553,554,555,557,558,560,561,562,564,570,574,575,578,580,
581,582,583,589,590,591,592,595,596,598,602,603,604,605,609,610,613,617,620,
623,761,883,885,886,887,888,889,891,892,903,905,906,914,916,921,922,923,926,
927,931,933,935,936,937,938,940,944,946,947,951,953,960,962,1127,1133,1134,
1135,1145,1160,1161,1162,1163,1164,1165,1166,1170,1172,1175,1181,1182,1198,
1202,1215,1216,1221,1227,1238,1245,1250,1256,1553,1555,1615,1619,1620,1621,
1622,1624,1625,1634,1636,1637,1638,1639,1649,1650,1651,1656,1660,1662,1663,
1664,1670,1673,1675,1676,1679,1681,1683,1687,1688,1690,1692,1700,1701,1705,
1706,1710,1711,1999,2011,2356,2357,2371,2372,2431,2434,2437,2442,2443,2448,
2449,2450,2454,2463,2464,3104],[1,2,3,4,5,6,10,12,13,15,16,17,19,22,23,25,28,
29,31,32,33,35,40,41,42,44,45,55,65,74,79,80,81,101,103,106,107,108,109,118,
160,165,168,172,173,179,180,184,185,186,187,189,199,200,201,204,206,208,209,
244,249,287,332,338,347,350,366,369,380,381,382,383,405,549,557,586,590,591,
592,593,595,613,617,619,623,812,848,849,852,876,877,878,879,880,881,918,939,
945,954,955,958,961,1243,1245,1535,1536,1537,1538,1607,1608,1613,1614,1628,
1630,1680,1699,1702,1703,1704,2358,2362,2364,2384,2428,2435,2436,3105],[1,2,4,
5,6,9,10,12,13,19,22,23,25,28,29,32,35,40,44,50,65,73,75,76,77,103,107,108,110
,118,153,155,156,159,173,174,180,188,189,195,201,204,206,208,247,249,281,331,
339,350,351,366,369,405,484,485,497,498,528,551,556,561,569,574,593,595,607,
609,810,848,849,852,911,915,918,919,924,958,961,1168,1181,1552,1554,1606,1607,
1608,1609,1678,1680,1682,1684,1685,2304,2305,2428,2429,2430,2438,2439,3106],[1
,2,3,4,5,6,8,9,15,16,24,25,41,42,44,45,46,52,96,97,98,99,105,111,121,139,145,
156,165,166,207,333,344,345,409,502,511,526,565,566,567,568,611,733,866,1141,
1282,1646,1689,1901,2019,2020,2021,3107],[1,2,3,4,5,6,10,12,13,16,19,20,21,22,
23,25,28,29,31,32,33,35,40,41,42,44,45,51,68,71,74,77,80,91,92,93,103,108,118,
155,162,163,166,168,172,173,174,177,178,179,182,183,185,189,190,201,204,206,
208,264,267,270,280,350,366,369,380,381,382,383,405,482,485,488,489,536,554,
560,562,576,581,593,595,597,602,774,848,849,852,876,877,878,880,882,884,894,
895,918,929,930,942,943,958,961,1165,1169,1535,1536,1539,1540,1541,1542,1607,
1608,1617,1618,1626,1632,1680,1691,1694,1708,1709,2376,2378,2379,2380,2428,
2432,2433,3108],[1,2,3,4,8,9,15,16,24,25,34,37,43,52,105,111,116,117,119,154,
191,193,333,353,357,368,371,406,558,842,850,851,912,917,920,1551,1610,1611,
1695,1696,2306,2440,2441,3109],[1,2,3,4,8,15,17,19,20,24,25,34,37,38,43,46,56,
88,93,97,98,99,105,111,117,119,164,191,192,194,197,277,345,353,359,360,368,371
,403,406,564,843,850,851,902,907,917,948,1543,1544,1557,1558,1559,1610,1611,
1635,1696,2368,2385,2440,2456,2457,3110],[1,2,3,4,8,15,17,19,20,24,25,34,37,38
,43,46,56,88,93,96,99,105,116,119,164,191,192,194,197,277,344,357,358,361,368,
371,403,406,564,844,850,851,902,907,917,948,1543,1544,1556,1559,1610,1635,1695
,2367,2385,2441,2458,2459,3111],[1,2,3,4,8,15,23,24,25,34,37,43,97,98,99,105,
106,111,116,119,191,203,210,345,349,357,368,371,406,596,839,850,851,917,956,
1557,1558,1559,1610,1611,1616,1695,2359,2368,2441,3112],[1,2,3,4,8,15,23,24,25
,34,37,43,96,99,105,106,117,119,191,203,210,344,349,353,368,371,406,596,840,
850,851,917,956,1556,1559,1610,1616,1696,2359,2367,2440,3113],[1,2,3,4,5,6,8,
15,17,19,20,24,25,28,30,31,32,34,35,38,41,42,44,45,46,56,88,93,96,99,105,116,
121,161,165,169,176,177,178,179,186,190,195,197,202,207,277,344,357,358,361,
367,379,387,388,390,391,409,493,534,548,565,566,579,587,608,611,624,625,626,
844,886,889,891,903,927,935,936,1136,1171,1275,1276,1279,1282,1283,1285,1286,
1288,1622,1689,2070,2074,2455,2466,2467,3114],[1,2,5,9,26,27,28,130,136,139,
215,420,627,660,1291,1343,1356,3115],[1,2,6,10,26,27,29,130,136,140,216,423,
627,661,1291,1344,1357,3116],[1,4,5,24,26,27,41,132,134,207,215,217,415,627,
652,654,1290,1363,1712,2077,2468,3117],[1,2,4,5,13,26,27,40,41,130,132,134,136
,160,215,217,429,627,650,652,654,663,1290,1291,1378,1712,2080,2468,2469,3118],
[1,4,5,24,26,27,41,132,134,207,215,217,415,418,627,652,654,1290,1363,1365,1712
,2079,2468,3119],[1,2,5,23,26,27,40,130,136,201,215,217,416,436,627,650,663,
1291,1353,1381,1712,2082,2469,3120],[1,2,5,22,26,27,40,130,136,199,215,217,414
,438,627,650,663,1291,1351,1373,1712,2083,2469,3121],[1,3,4,5,21,26,27,30,41,
132,133,134,137,181,215,217,434,627,652,654,657,662,1290,1292,1372,1712,2081,
2468,2470,3122],[1,4,5,25,26,27,41,132,134,202,215,217,419,627,652,654,1290,
1355,1712,2078,2468,3123],[1,2,3,4,10,11,12,13,14,15,16,17,19,21,24,25,26,49,
51,55,57,62,63,64,65,66,67,68,69,70,78,82,85,86,89,90,91,96,99,100,102,103,104
,105,113,114,130,131,132,135,136,220,228,233,257,259,264,265,266,273,274,300,
301,302,303,304,305,316,326,327,328,329,330,336,343,344,421,422,423,424,425,
426,427,429,430,431,432,433,435,437,671,684,685,686,756,768,829,967,968,970,
972,973,974,975,976,978,981,982,983,984,985,999,1001,1002,1004,1005,1008,1009,
1010,1013,1014,1015,1018,1023,1024,1025,1408,1714,1715,1717,1729,1731,1733,
1734,1736,1737,1738,1740,1741,1744,1745,1762,1767,1768,1769,1770,1771,1772,
1773,1774,1779,1780,2472,2490,2492,2508,2509,2517,2518,3124],[1,2,4,10,11,12,
13,19,23,24,27,51,57,65,77,82,87,100,102,107,116,134,219,238,239,240,257,263,
352,418,689,716,778,1447,1730,2480,3125],[1,2,4,10,11,12,13,19,23,24,25,27,51,
57,65,77,82,87,100,107,113,116,134,219,239,240,254,257,263,352,419,689,719,778
,1449,1730,2480,3126],[1,2,3,4,9,11,12,13,14,15,16,17,21,22,23,24,25,26,50,52,
54,55,57,64,67,68,69,70,100,101,103,104,105,106,107,108,109,110,111,112,130,
131,132,135,136,218,229,232,233,234,237,243,244,247,251,331,333,334,335,336,
337,338,340,414,415,416,417,420,421,422,424,425,426,427,428,429,430,431,432,
667,735,737,788,791,792,794,969,970,971,972,973,974,975,977,978,979,980,981,
986,987,988,989,990,991,992,993,994,995,996,997,1419,1716,1717,1718,1719,1720,
1721,1722,1723,1724,1727,1752,1755,1756,1757,1758,1759,1760,1761,2471,2474,
2475,2485,2486,2487,2489,3127],[1,2,3,4,9,11,12,13,14,15,16,17,21,24,25,26,49,
50,52,54,55,57,64,66,67,68,69,70,78,82,85,86,89,90,91,102,105,113,114,130,131,
132,135,136,218,220,229,232,233,234,238,254,255,259,274,300,301,302,303,304,
305,343,420,421,422,424,425,426,427,428,429,430,431,432,435,437,667,687,691,
692,693,768,796,967,969,970,971,972,973,974,975,976,977,978,979,980,981,1001,
1004,1005,1008,1009,1013,1015,1018,1023,1024,1025,1427,1714,1716,1717,1718,
1719,1720,1733,1736,1738,1744,1745,1748,1751,1766,1772,1773,1774,1780,2471,
2476,2478,2492,2495,2498,2503,3128],[1,2,3,4,9,10,11,12,13,14,15,16,17,19,21,
22,23,24,25,26,50,51,52,54,55,57,62,63,64,65,67,68,69,70,73,74,75,76,77,79,80,
81,82,89,90,91,100,101,103,104,105,108,109,110,130,131,132,135,136,218,228,229
,232,233,234,236,237,242,243,244,245,247,257,258,264,265,266,273,274,281,283,
284,285,286,287,290,336,340,420,421,422,423,424,425,426,427,428,429,430,431,
432,433,435,436,437,438,667,688,694,695,696,700,701,756,767,784,788,968,969,
970,971,972,973,974,975,977,978,979,980,981,982,983,984,999,1000,1002,1003,
1006,1007,1008,1009,1010,1011,1012,1016,1017,1018,1019,1020,1021,1022,1023,
1024,1432,1715,1716,1717,1718,1719,1720,1731,1732,1734,1735,1737,1739,1740,
1741,1742,1743,1746,1747,1749,1750,1763,1764,1765,1775,1776,1777,1778,1779,
1780,2471,2477,2479,2490,2491,2493,2494,2496,2497,2501,2502,3129],[1,2,3,4,10,
11,12,13,14,15,16,17,19,21,24,25,26,51,55,57,62,63,64,65,67,68,69,70,82,89,90,
91,100,103,104,105,117,130,131,132,135,136,228,233,257,264,265,266,273,274,336
,353,354,355,421,422,423,424,425,426,427,429,430,431,432,433,435,437,756,779,
780,836,968,970,972,973,974,975,978,981,982,983,984,999,1002,1008,1009,1010,
1018,1023,1024,1026,1469,1715,1717,1731,1734,1737,1740,1741,1779,1780,1787,
1788,1789,2490,2519,2520,2523,3130],[1,2,3,4,10,11,12,13,14,15,16,17,19,21,24,
25,26,51,55,57,62,63,64,65,67,68,69,70,82,89,90,91,100,103,104,105,111,112,130
,131,132,135,136,228,233,252,257,264,265,266,273,274,334,336,417,421,422,423,
424,425,426,427,429,430,431,432,433,435,437,727,730,756,790,968,970,972,973,
974,975,978,981,982,983,984,990,995,996,999,1002,1008,1009,1010,1018,1023,1024
,1481,1715,1717,1728,1731,1734,1737,1740,1741,1757,1779,1780,2484,2490,2516,
2522,3131],[1,2,3,4,10,11,12,13,14,15,16,17,19,21,24,25,26,51,55,57,62,63,64,
65,67,68,69,70,82,89,90,91,100,102,103,104,105,113,114,130,131,132,135,136,228
,233,238,254,255,257,264,265,266,273,274,336,343,421,422,423,424,425,426,427,
429,430,431,432,433,435,437,716,719,724,756,796,968,970,972,973,974,975,978,
981,982,983,984,999,1001,1002,1004,1008,1009,1010,1013,1018,1023,1024,1487,
1715,1717,1731,1734,1737,1738,1740,1741,1748,1751,1766,1779,1780,2482,2490,
2499,2503,2514,3132],[1,2,3,4,11,12,13,14,15,16,17,21,22,23,24,25,26,49,55,57,
64,66,67,68,69,70,78,82,85,86,89,90,91,101,102,105,108,109,110,113,114,130,131
,132,135,136,220,233,236,238,242,245,254,255,259,274,300,301,302,303,304,305,
340,343,421,422,424,425,426,427,429,430,431,432,435,436,437,438,717,720,721,
723,768,784,796,967,970,972,973,974,975,976,978,981,1000,1001,1003,1004,1005,
1008,1009,1011,1012,1013,1015,1018,1023,1024,1025,1489,1714,1717,1733,1736,
1738,1739,1744,1745,1746,1748,1749,1751,1765,1766,1772,1773,1774,1780,2483,
2492,2500,2501,2503,2513,2515,3133],[1,2,3,4,10,11,12,13,14,15,16,17,19,21,23,
24,25,26,51,55,57,62,63,64,65,67,68,69,70,82,89,90,91,100,103,104,105,106,107,
110,130,131,132,135,136,228,233,240,243,249,251,257,264,265,266,273,274,336,
337,348,349,415,416,417,421,422,423,424,425,426,427,429,430,431,432,433,435,
437,738,739,756,787,791,968,970,972,973,974,975,978,981,982,983,984,986,989,
990,991,992,993,994,999,1002,1008,1009,1010,1018,1023,1024,1472,1715,1717,1724
,1725,1726,1727,1731,1734,1737,1740,1741,1759,1760,1779,1780,1785,1786,2486,
2488,2490,2504,2505,3134],[1,2,3,4,10,11,12,13,14,15,16,17,19,21,22,23,24,25,
26,51,55,57,62,63,64,65,67,68,69,70,82,89,90,91,100,101,103,104,105,108,109,
110,111,112,130,131,132,135,136,228,233,244,251,252,257,264,265,266,273,274,
332,334,336,339,340,414,416,417,421,422,423,424,425,426,427,429,430,431,432,
433,435,437,734,756,777,790,792,968,970,972,973,974,975,978,981,982,983,984,
987,988,989,990,995,996,997,999,1002,1008,1009,1010,1018,1023,1024,1476,1715,
1717,1723,1727,1728,1731,1734,1737,1740,1741,1753,1754,1755,1757,1779,1780,
2473,2484,2485,2490,2511,3135],[1,2,3,4,9,10,12,13,14,15,16,17,19,22,23,24,25,
26,50,51,52,54,55,62,63,64,65,73,74,75,76,77,79,80,81,100,101,103,104,105,106,
107,108,109,110,111,112,130,131,132,135,136,228,229,240,247,249,251,252,258,
281,283,284,285,286,287,290,333,334,335,336,337,340,415,416,417,420,422,423,
424,425,426,427,428,429,430,431,433,436,438,735,767,776,777,787,790,794,968,
969,971,977,978,979,980,981,982,983,984,986,989,990,991,992,993,994,995,996,
1000,1003,1006,1007,1011,1012,1016,1017,1019,1020,1021,1022,1478,1715,1719,
1722,1725,1726,1727,1728,1732,1735,1739,1742,1743,1756,1757,1758,1759,1760,
1775,1776,1777,1778,2475,2484,2487,2488,2491,2510,2512,3136],[1,2,3,4,10,11,12
,13,14,15,16,17,21,23,24,25,26,49,51,54,55,57,69,70,77,78,79,82,86,89,96,100,
102,110,113,131,132,135,136,234,242,243,254,255,257,259,284,303,316,421,422,
423,424,426,427,428,430,431,432,435,436,437,671,693,696,719,721,967,968,970,
974,975,979,980,985,1000,1001,1002,1004,1005,1008,1019,1021,1024,1025,1392,
1718,1731,1733,1743,1745,1746,1748,1764,1766,1769,2472,2482,2483,2493,2495,
3137],[1,2,4,9,10,11,12,13,22,24,26,49,50,51,57,73,74,78,82,96,100,101,102,135
,136,218,236,237,238,257,258,259,316,420,421,422,423,424,437,438,671,687,688,
716,717,967,968,969,970,985,1002,1003,1004,1005,1006,1007,1008,1388,1720,1731,
1732,1733,1749,1750,1751,1769,2472,2478,2479,2499,2500,3138],[1,2,3,4,10,11,12
,13,14,15,16,17,21,23,24,25,26,51,54,55,57,66,68,69,70,77,79,82,85,86,90,91,99
,100,102,103,110,113,114,131,132,135,136,234,238,242,243,255,257,264,284,300,
302,304,328,329,421,422,423,424,426,427,428,430,431,432,435,436,437,684,692,
696,716,723,968,970,973,974,975,976,979,980,999,1000,1001,1002,1004,1008,1013,
1014,1015,1018,1019,1021,1023,1025,1391,1718,1731,1736,1741,1743,1744,1746,
1751,1764,1766,1767,1771,1774,2493,2498,2499,2508,2513,3139],[1,2,3,4,11,12,13
,14,15,16,17,19,21,22,24,25,26,49,54,55,57,63,66,69,70,76,78,80,82,85,86,89,90
,91,99,101,102,103,104,113,114,131,132,135,136,234,236,238,244,254,255,259,265
,273,285,300,302,303,305,326,329,330,421,422,424,426,427,428,430,431,432,433,
435,437,438,685,692,693,694,717,720,724,967,970,974,975,976,979,980,982,999,
1001,1003,1004,1005,1008,1010,1013,1014,1015,1016,1017,1018,1023,1024,1025,
1393,1718,1733,1735,1736,1740,1744,1745,1748,1749,1751,1763,1766,1768,1770,
1771,1773,1779,2495,2496,2498,2500,2509,2514,2515,3140],[1,2,3,4,9,10,11,12,13
,16,21,22,24,25,26,50,51,57,66,68,73,74,82,85,86,91,99,100,101,103,113,114,131
,135,136,218,236,237,254,257,258,264,300,304,328,329,420,421,422,423,424,430,
432,435,437,438,684,688,691,719,720,968,969,970,973,976,999,1001,1002,1003,
1006,1007,1008,1013,1014,1015,1023,1025,1390,1720,1731,1732,1741,1744,1748,
1749,1750,1767,1771,1774,2476,2479,2482,2508,2515,3141],[1,2,3,4,9,11,12,13,14
,17,19,21,23,24,25,26,49,50,57,63,66,69,75,78,81,82,86,89,90,91,99,102,103,104
,110,113,114,131,132,135,136,218,238,242,247,254,259,265,273,286,300,303,305,
326,329,330,420,421,422,424,426,431,432,433,435,436,437,685,687,691,695,721,
723,724,967,969,970,974,976,982,999,1000,1001,1004,1005,1008,1010,1013,1014,
1018,1020,1022,1023,1024,1025,1395,1720,1733,1740,1742,1744,1745,1746,1747,
1748,1751,1768,1770,1771,1773,1779,2476,2477,2478,2483,2509,2513,2514,3142],[1
,2,4,9,11,12,13,14,19,23,25,26,50,57,63,75,81,89,103,110,112,117,132,135,136,
218,242,247,252,265,286,355,417,420,421,422,424,426,433,435,436,695,727,779,
969,970,982,996,999,1000,1020,1022,1024,1026,1453,1720,1728,1740,1742,1746,
1747,1789,2477,2516,2519,3143],[1,2,3,4,9,10,12,13,14,15,16,17,19,22,23,24,25,
26,50,51,52,54,55,62,63,64,65,73,74,75,76,77,79,80,81,100,101,103,104,105,106,
107,108,109,110,130,131,132,135,136,228,229,237,240,243,244,247,249,258,281,
283,284,285,286,287,290,331,332,336,337,338,339,340,346,347,350,351,414,415,
416,417,420,422,423,424,425,426,427,428,429,430,431,433,436,438,734,737,740,
741,767,787,788,809,810,811,812,968,969,971,977,978,979,980,981,982,983,984,
986,987,988,989,990,991,992,993,994,997,1000,1003,1006,1007,1011,1012,1016,
1017,1019,1020,1021,1022,1492,1715,1719,1721,1722,1723,1724,1725,1726,1732,
1735,1739,1742,1743,1752,1753,1754,1755,1759,1760,1761,1775,1776,1777,1778,
1781,1782,1783,1784,2473,2474,2488,2489,2491,2506,2507,2524,2525,2526,2527,
3144],[1,2,3,4,11,12,13,14,15,16,17,21,22,23,24,25,26,55,57,64,67,68,69,70,100
,101,103,104,105,106,107,108,109,110,111,112,130,131,132,135,136,233,236,242,
243,244,245,251,334,336,337,340,346,347,350,351,414,415,416,417,421,422,424,
425,426,427,429,430,431,432,436,438,740,741,776,777,784,791,792,970,972,973,
974,975,978,981,986,987,988,989,990,991,992,993,994,995,996,997,1000,1003,1011
,1012,1491,1717,1723,1724,1727,1739,1746,1749,1755,1757,1759,1760,1765,1781,
1782,1783,1784,2485,2486,2501,2506,2507,2510,2512,3145],[1,2,3,4,11,13,14,15,
21,24,25,26,64,67,78,82,85,86,89,90,91,96,99,100,102,103,104,105,113,114,117,
130,131,132,135,136,274,301,316,326,327,328,329,330,336,343,344,348,353,354,
355,415,417,421,422,425,426,427,429,432,435,437,738,824,825,829,836,972,981,
985,986,990,991,992,999,1001,1002,1004,1005,1008,1009,1010,1013,1014,1015,1018
,1023,1024,1025,1026,1502,1729,1737,1738,1760,1762,1767,1768,1769,1770,1771,
1772,1780,1786,1787,1788,1789,2505,2518,2523,2528,2530,3146],[1,2,3,4,9,12,13,
14,15,16,17,22,23,24,25,26,50,52,54,55,64,100,101,103,104,105,108,109,110,111,
112,130,131,132,135,136,229,237,243,244,247,333,334,335,336,340,346,348,350,
414,415,416,417,420,422,424,425,426,427,428,429,430,431,435,436,437,438,735,
738,740,777,788,969,971,977,978,979,980,981,986,987,988,989,990,991,992,995,
996,997,999,1000,1002,1003,1009,1010,1011,1012,1474,1719,1721,1722,1723,1724,
1737,1739,1747,1750,1755,1756,1757,1758,1760,1763,1764,1782,1783,1786,2475,
2489,2502,2505,2507,2510,2511,3147],[1,2,3,4,9,12,13,14,15,16,17,22,23,24,25,
26,50,52,54,55,64,100,101,103,104,105,106,107,108,109,110,111,112,130,131,132,
135,136,229,237,243,244,247,251,331,334,336,337,338,340,347,349,351,414,416,
417,420,422,424,425,426,427,428,429,430,431,435,436,437,438,737,739,741,776,
777,788,794,969,971,977,978,979,980,981,987,988,989,990,993,994,995,996,997,
999,1000,1002,1003,1009,1010,1011,1012,1475,1719,1722,1727,1737,1739,1747,1750
,1752,1755,1757,1759,1761,1763,1764,1781,1784,1785,2474,2487,2502,2504,2506,
2511,2512,3148],[1,2,3,4,11,13,14,15,21,23,24,25,26,64,67,78,82,85,86,89,90,91
,96,99,100,102,103,104,105,106,107,110,113,114,117,130,131,132,135,136,274,301
,316,326,327,328,329,330,336,337,343,344,349,353,354,355,416,421,422,425,426,
427,429,432,435,437,739,829,836,840,846,972,981,985,989,993,994,999,1001,1002,
1004,1005,1008,1009,1010,1013,1014,1015,1018,1023,1024,1025,1026,1495,1729,
1737,1738,1759,1762,1767,1768,1769,1770,1771,1772,1780,1785,1787,1788,1789,
2504,2518,2523,2529,2531,3149],[1,2,3,4,10,11,12,13,14,15,16,17,19,21,23,24,25
,27,51,55,57,62,63,64,65,67,68,69,70,77,79,82,87,89,90,91,92,100,103,104,105,
106,107,110,133,134,137,219,227,228,233,239,240,246,249,257,263,264,265,266,
268,271,273,274,279,284,336,337,434,665,689,697,698,699,756,759,785,787,1431,
1730,2480,2481,2521,3150],[1,2,3,4,11,12,13,14,15,16,17,19,21,22,25,26,54,55,
57,63,69,70,76,80,89,101,103,112,117,131,132,135,136,234,236,244,252,265,285,
355,417,421,422,424,426,427,428,430,431,432,433,435,438,694,727,779,970,974,
975,979,980,982,996,999,1003,1016,1017,1024,1026,1450,1718,1728,1735,1740,1749
,1763,1789,2496,2516,2519,3151],[1,2,5,6,8,10,28,29,40,118,119,120,121,128,143
,168,366,381,386,629,634,638,876,1294,1791,2086,3152],[1,3,6,7,8,18,33,36,47,
119,120,124,126,129,152,196,370,395,396,397,630,634,639,896,1301,1792,2089,
3153],[1,3,6,7,8,18,33,36,47,120,124,126,127,128,129,149,196,370,395,396,397,
630,635,638,639,896,1301,1794,2089,3154],[1,2,5,6,7,8,10,28,29,40,118,120,121,
127,129,146,168,366,381,386,629,635,639,876,1294,1793,2086,3155],[1,4,5,6,7,8,
20,32,35,41,118,120,121,127,129,151,190,369,383,390,629,635,639,895,1296,1793,
2088,3156],[1,2,5,6,7,8,9,40,43,44,118,120,121,122,123,124,125,126,139,141,142
,145,153,154,156,405,407,408,629,630,631,632,857,858,859,860,861,862,863,864,
866,867,868,911,913,914,1293,1790,2085,2103,2104,2105,2106,2107,2108,3157],[1,
2,4,5,6,7,8,13,28,29,32,35,38,39,40,44,118,120,121,122,123,124,125,126,173,189
,366,369,373,374,375,376,377,378,379,381,386,387,393,405,629,630,631,632,884,
904,906,918,1294,1297,1305,1306,1307,1308,1317,1319,1790,2128,2131,2532,2535,
3158],[1,3,4,5,6,7,8,21,32,33,35,36,38,39,45,47,118,120,121,122,123,124,125,
126,183,198,369,370,373,374,375,376,377,378,379,382,394,395,396,397,398,410,
629,630,631,632,894,898,899,900,901,928,1301,1302,1305,1306,1307,1308,1322,
1323,1790,2132,2133,2532,2536,3159],[1,4,5,6,7,8,20,31,32,34,35,38,39,41,42,46
,118,120,121,122,123,124,125,126,178,190,197,367,369,373,374,375,376,377,378,
379,380,383,384,385,388,389,399,400,401,402,409,629,630,631,632,882,892,893,
895,908,909,910,927,1295,1303,1304,1305,1306,1307,1308,1318,1320,1321,1790,
2129,2134,2135,2532,2537,3160],[1,4,5,6,7,8,25,32,35,38,39,118,120,121,122,123
,124,125,126,369,373,374,375,376,377,378,379,629,630,631,632,852,853,855,1305,
1306,1307,1308,1790,2532,3161],[1,4,5,6,7,8,25,32,35,38,39,118,120,121,122,123
,124,125,126,369,373,374,375,376,377,378,379,629,630,631,632,852,854,856,1305,
1306,1307,1308,1790,2532,3162],[1,2,5,6,7,8,10,28,29,40,44,118,120,121,122,123
,124,125,126,155,168,366,381,386,387,393,405,629,630,631,632,876,930,1294,1297
,1317,1319,1790,2086,2136,2535,3163],[1,3,5,6,7,8,18,33,36,45,47,118,120,121,
122,123,124,125,126,167,196,370,382,394,395,396,397,398,410,629,630,631,632,
896,950,1301,1302,1322,1323,1790,2089,2146,2536,3164],[1,2,4,5,6,7,8,12,28,29,
31,32,34,40,41,42,44,46,118,120,121,122,123,124,125,126,162,172,174,366,367,
380,381,383,384,385,386,387,388,389,393,399,400,401,402,405,409,629,630,631,
632,877,883,942,946,1294,1295,1297,1303,1304,1317,1318,1319,1320,1321,1790,
2087,2139,2143,2535,2537,3165],[1,2,4,5,6,7,8,19,28,29,31,32,34,40,41,42,44,46
,118,120,121,122,123,124,125,126,163,177,179,366,367,380,381,383,384,385,386,
387,388,389,393,399,400,401,402,405,409,629,630,631,632,880,891,929,947,1294,
1295,1297,1303,1304,1317,1318,1319,1320,1321,1790,2093,2140,2142,2535,2537,
3166],[1,2,3,5,6,7,8,16,28,29,33,36,40,44,45,47,118,120,121,122,123,124,125,
126,166,182,185,366,370,381,382,386,387,393,394,395,396,397,398,405,410,629,
630,631,632,878,897,943,949,1294,1297,1301,1302,1317,1319,1322,1323,1790,2094,
2144,2145,2535,2536,3167],[1,2,5,6,7,8,9,43,44,119,120,121,122,123,125,126,127
,139,142,145,154,156,406,407,632,633,634,635,636,637,858,859,860,864,866,872,
912,913,1309,1795,2102,2104,2111,2113,2114,2115,3168],[1,2,5,6,8,9,40,43,44,
118,119,120,121,128,153,154,156,405,406,407,408,413,629,634,638,911,912,913,
914,957,1293,1309,1324,1791,2085,2111,2112,2538,3169],[1,2,5,6,7,8,23,28,29,40
,44,118,120,121,122,123,124,125,126,201,204,366,381,386,387,393,405,629,630,
631,632,849,958,1294,1297,1317,1319,1790,2147,2149,2535,3170],[1,2,5,6,7,8,22,
28,29,40,44,118,120,121,122,123,124,125,126,206,208,366,381,386,387,393,405,
629,630,631,632,848,961,1294,1297,1317,1319,1790,2097,2099,2535,3171],[1,2,6,7
,8,9,43,44,119,120,124,126,129,141,142,145,154,156,406,407,630,634,639,861,863
,864,868,912,913,963,1309,1792,2107,2111,2126,3172],[1,2,5,6,7,8,9,43,44,120,
121,122,123,125,126,128,129,139,142,145,154,156,407,413,632,638,639,640,641,
642,858,859,860,864,866,913,957,963,1324,1796,2104,2112,2126,2150,2151,2152,
3173],[1,2,5,6,7,8,9,40,43,44,118,120,121,127,129,142,153,154,156,405,407,408,
629,635,639,872,911,913,914,963,1293,1793,2085,2113,2126,3174],[1,2,4,5,6,8,19
,31,38,40,41,42,43,44,46,118,119,120,121,128,158,163,164,177,194,380,388,389,
403,405,406,407,408,409,413,629,634,638,916,929,931,932,948,1293,1309,1318,
1324,1330,1791,2117,2125,2538,2540,3175],[1,2,3,5,6,8,16,30,33,37,40,43,44,45,
118,119,120,121,128,166,175,182,193,368,372,382,391,392,405,406,407,408,412,
413,629,634,638,920,921,940,941,943,965,1293,1300,1309,1311,1324,1326,1791,
2122,2156,2162,2534,2538,3176],[1,2,3,4,5,6,8,15,30,31,32,33,34,37,40,42,43,44
,45,118,119,120,121,128,165,170,184,191,367,368,371,372,380,382,384,385,391,
392,405,406,407,408,411,412,413,629,634,638,917,922,933,934,939,964,1293,1295,
1300,1309,1310,1311,1324,1325,1326,1791,2123,2154,2161,2533,2534,2538,3177],[1
,2,4,5,6,8,19,32,35,38,40,43,44,46,118,119,120,121,128,164,180,194,195,369,378
,379,403,405,406,407,408,413,629,634,638,924,925,926,948,1293,1305,1309,1316,
1324,1791,2110,2155,2538,2542,3178],[1,2,5,6,8,23,40,43,44,118,119,120,121,128
,200,203,205,209,210,405,406,407,408,413,629,634,638,951,952,954,956,962,1293,
1309,1324,1791,2119,2124,2538,3179],[1,2,5,6,8,23,40,43,44,118,119,120,121,128
,201,203,204,210,405,406,407,408,413,629,634,638,956,958,959,960,1293,1309,
1324,1791,2101,2153,2538,3180],[1,2,6,7,8,9,43,44,120,124,126,127,128,129,141,
142,145,154,156,407,413,630,635,638,639,861,863,864,868,872,913,957,963,1324,
1794,2107,2112,2113,2126,3181],[1,3,4,5,6,8,17,30,31,32,33,35,37,38,41,42,45,
46,118,119,120,121,128,176,186,187,192,368,369,372,378,379,380,382,388,389,391
,392,403,409,412,629,634,638,879,889,890,907,923,1300,1305,1311,1316,1318,1326
,1330,1791,2130,2158,2534,2540,2542,3182],[1,4,5,6,8,20,31,32,34,35,38,41,42,
46,118,119,120,121,128,178,190,197,367,369,371,378,379,380,384,385,388,389,403
,409,411,629,634,638,882,892,893,902,927,1295,1305,1310,1316,1318,1325,1330,
1791,2129,2157,2533,2540,2542,3183],[1,4,5,6,7,8,20,31,32,34,35,38,39,41,42,46
,119,120,121,122,123,125,126,127,178,190,197,367,371,373,374,376,377,378,379,
385,389,399,400,401,402,403,404,409,632,633,634,635,636,637,893,902,908,909,
910,927,1298,1299,1304,1308,1310,1312,1313,1314,1315,1316,1321,1330,1331,1332,
1333,1795,2096,2135,2157,2159,2160,2539,2544,2545,3184],[1,4,6,11,20,24,31,35,
42,48,78,88,116,144,178,212,362,439,451,1027,2548,3185],[1,2,4,6,9,10,12,13,19
,22,23,29,35,44,48,50,65,73,75,76,77,108,140,141,189,214,281,439,446,447,452,
457,505,507,1033,1080,1098,2547,3186],[1,2,3,4,6,11,15,21,24,25,31,33,44,48,67
,78,85,86,105,144,184,214,301,439,451,459,510,1033,1093,2548,3187],[1,2,3,4,5,
9,10,15,16,19,22,23,28,32,41,48,52,62,73,75,79,80,109,139,179,212,213,214,283,
442,445,449,502,643,644,645,646,647,648,649,1031,1034,1037,1071,1336,1337,1338
,1339,1340,1341,1342,1799,1808,2165,2554,2557,2558,3188],[1,2,3,4,6,9,10,15,16
,19,22,23,29,33,45,48,52,62,73,75,79,80,109,140,185,212,213,214,283,443,446,
453,504,643,644,645,646,647,648,649,1032,1035,1036,1073,1336,1337,1338,1339,
1340,1341,1342,1800,1809,2165,2555,2556,2559,3189],[1,2,3,4,5,11,15,21,28,30,
41,48,49,66,67,157,169,181,214,220,442,520,542,543,1037,1121,1335,2164,2553,
3190],[1,2,3,4,6,11,15,21,42,44,45,48,49,66,67,144,165,214,220,439,503,509,510
,1033,1055,1335,2164,2549,3191],[1,2,3,4,6,9,10,15,16,19,22,23,42,44,45,48,52,
62,73,75,79,80,109,156,159,163,165,166,208,209,212,213,214,283,439,526,527,574
,575,581,582,623,643,644,645,646,647,648,649,1027,1028,1033,1227,1336,1337,
1338,1339,1340,1341,1342,1797,1798,1803,1804,1805,1806,1807,2165,2551,2552,
2562,2563,2564,2565,2566,3192],[1,2,5,6,9,10,22,26,28,29,73,118,130,139,140,
366,445,446,848,1343,1344,3193],[1,4,8,20,24,27,34,88,119,134,147,371,456,850,
1346,3194],[1,4,6,7,11,14,25,27,35,39,89,124,134,144,150,375,460,462,856,1345,
1348,3195],[1,4,6,7,11,14,25,27,35,39,89,124,134,144,150,375,460,462,855,1345,
1347,3196],[1,4,8,20,25,27,38,93,123,134,147,373,468,853,1349,3197],[1,4,8,20,
25,27,38,93,122,134,147,374,468,854,1349,3198],[1,2,5,6,9,10,22,26,28,29,40,73
,118,130,139,141,153,168,199,215,366,381,414,445,447,474,650,857,876,1343,1351
,1512,2166,2567,3199],[1,2,4,5,6,8,10,12,22,26,29,31,32,34,40,42,74,121,130,
140,143,155,172,174,199,215,367,384,386,414,448,454,479,650,865,883,1344,1351,
1513,2167,2568,3200],[1,2,4,5,6,8,9,19,23,26,28,31,32,34,41,44,75,121,130,139,
145,156,177,179,200,216,367,387,388,416,449,455,480,651,866,891,1343,1352,1514
,2168,2569,3201],[1,2,3,5,6,8,10,16,23,26,29,30,33,37,40,45,79,121,130,140,143
,155,175,185,201,215,372,386,391,416,453,458,476,650,865,887,1344,1353,1516,
2169,2568,3202],[1,2,4,5,6,9,19,23,26,28,32,35,40,41,75,118,130,139,141,153,
179,180,201,215,369,381,383,416,449,457,484,650,857,881,1343,1353,1515,2168,
2567,3203],[1,2,3,6,7,10,16,23,26,29,33,36,44,45,79,124,130,140,146,159,182,
185,200,216,370,393,394,416,453,461,486,651,869,897,1344,1352,1517,2169,2570,
3204],[1,2,4,5,6,8,9,19,23,26,28,32,35,38,41,44,75,121,130,139,145,156,179,195
,204,216,379,387,390,416,449,471,497,651,866,903,1343,1354,1526,2168,2569,3205
],[1,3,4,5,6,8,11,21,25,27,30,33,35,37,41,45,86,121,134,144,148,157,181,183,
202,217,372,390,391,419,459,469,495,654,873,905,1345,1355,1532,2175,2571,3206]
,[1,4,5,7,8,20,25,27,32,34,38,39,41,46,93,125,134,147,151,161,190,197,202,217,
376,401,402,419,468,473,493,654,874,910,1346,1355,1534,2176,2572,3207],[1,2,4,
5,6,9,12,13,26,28,32,35,40,50,118,130,132,136,139,141,153,173,174,215,369,381,
429,500,528,650,656,660,857,884,1343,1366,1584,2179,2567,3208],[1,2,3,4,5,6,8,
9,15,16,26,28,30,31,33,37,41,44,52,121,130,131,135,139,145,156,169,182,184,216
,372,387,388,425,502,552,651,655,659,866,885,1343,1367,1588,2178,2569,3209],[1
,2,4,5,6,8,10,13,19,26,28,29,32,35,38,40,44,65,121,130,132,136,140,143,155,173
,180,189,215,379,386,387,429,505,556,650,656,660,865,906,1344,1366,1593,2180,
2568,3210],[1,2,4,5,6,8,9,12,13,26,28,29,32,35,38,40,44,50,121,130,132,136,139
,145,156,173,188,189,216,379,386,387,429,500,551,651,658,661,866,906,1343,1371
,1592,2179,2569,3211],[1,2,4,6,7,10,13,19,26,29,35,39,44,65,124,130,132,136,
140,146,159,189,195,216,375,393,429,505,561,651,658,661,869,904,1344,1371,1595
,2180,2570,3212],[1,3,4,5,6,8,11,21,27,30,33,35,37,41,45,66,121,133,134,137,
144,148,157,181,183,217,372,390,391,434,509,542,654,657,662,873,905,1345,1372,
1604,2181,2571,3213],[1,2,5,6,9,10,22,26,28,40,44,73,118,130,139,141,153,155,
168,206,215,381,405,414,445,569,650,857,930,1343,1361,1562,2166,2567,3214],[1,
2,5,6,8,9,10,22,26,28,40,43,44,73,121,130,139,145,156,159,168,208,216,387,408,
414,445,574,651,866,937,1343,1362,1566,2166,2569,3215],[1,2,4,5,6,8,10,12,22,
26,29,31,40,41,42,46,74,121,130,140,143,155,162,172,206,215,386,388,409,414,
448,576,650,865,946,1344,1361,1571,2167,2568,3216],[1,2,4,5,6,8,9,19,23,26,28,
32,41,42,44,46,75,121,130,139,145,156,163,179,209,216,384,387,409,416,449,575,
651,866,947,1343,1364,1567,2168,2569,3217],[1,2,3,6,7,10,16,23,26,29,33,44,45,
47,79,124,130,140,146,159,166,185,209,216,393,394,410,416,453,582,651,869,949,
1344,1364,1581,2169,2570,3218],[1,2,4,5,6,8,11,13,24,27,29,35,40,41,43,44,82,
121,134,144,148,157,160,189,207,217,386,390,408,418,450,577,654,873,938,1345,
1365,1579,2170,2571,3219],[1,2,4,5,6,8,10,13,19,26,29,35,40,41,43,44,65,121,
130,132,136,140,143,155,158,160,189,215,386,390,408,429,505,506,523,650,652,
663,865,938,1344,1378,1643,2180,2568,3220],[1,2,4,5,6,9,12,13,26,28,32,40,41,
44,50,118,130,132,136,139,141,153,160,162,173,215,381,383,405,429,500,507,522,
650,652,663,857,945,1343,1378,1642,2179,2567,3221],[1,2,3,4,5,6,8,9,15,16,26,
28,30,41,42,44,45,46,52,121,130,131,135,139,145,156,165,166,169,216,387,391,
409,425,502,511,526,651,653,664,866,935,1343,1380,1646,2178,2569,3222],[1,2,4,
5,6,13,25,26,28,29,32,35,40,44,103,118,130,132,136,173,189,215,216,366,369,405
,417,429,650,651,656,658,660,661,852,918,990,1038,1366,1371,1608,1810,1811,
1812,2580,2585,3223],[1,2,3,5,6,10,16,23,26,28,29,33,40,45,79,118,131,136,168,
185,215,216,366,381,382,423,430,436,653,655,660,661,663,849,876,878,1019,1038,
1369,1374,1538,1811,1814,1815,2576,2579,2582,3224],[1,2,4,5,6,12,19,23,26,28,
29,31,32,41,42,81,118,132,135,136,172,179,215,216,366,380,383,424,433,436,652,
656,659,660,661,664,849,877,880,1020,1038,1370,1375,1537,1811,1813,1816,2577,
2578,2582,3225],[1,2,5,6,9,10,22,26,28,29,40,73,118,136,139,141,153,168,199,
215,216,366,420,423,438,445,447,474,660,661,663,857,1007,1038,1356,1358,1360,
1373,1374,1512,1811,2197,2201,2218,2573,3226],[1,2,4,5,6,10,12,22,26,28,29,31,
40,42,74,118,135,136,168,172,215,216,366,380,381,423,424,438,659,660,661,663,
664,848,876,877,1006,1038,1374,1375,1535,1811,1813,1814,2578,2579,2581,3227],[
1,2,3,4,5,6,16,19,22,26,28,29,32,33,41,45,80,118,131,132,136,179,185,215,216,
366,382,383,430,433,438,652,653,655,656,660,661,848,878,880,1016,1038,1369,
1370,1536,1811,1815,1816,2576,2577,2581,3228],[1,2,4,5,6,13,22,26,28,29,32,35,
40,44,101,118,130,132,136,173,189,199,206,215,216,366,369,405,414,429,586,650,
651,656,658,660,661,918,955,987,1038,1351,1361,1366,1371,1613,1810,1811,1812,
2208,2580,2588,3229],[1,2,4,5,6,13,23,26,28,29,32,35,40,44,107,118,130,132,136
,173,189,200,209,215,216,366,369,405,416,429,592,650,651,656,658,660,661,918,
954,994,1038,1352,1364,1366,1371,1614,1810,1811,1812,2213,2580,2589,3230],[1,2
,4,5,6,9,12,13,26,40,41,44,50,118,130,132,136,139,141,153,160,162,215,216,405,
420,428,429,500,507,522,650,651,652,663,857,971,1038,1356,1358,1360,1378,1379,
1642,1810,2185,2189,2195,2573,3231],[1,2,4,5,6,9,19,23,26,32,35,40,75,118,132,
136,139,141,153,180,201,215,216,369,420,433,436,449,457,484,656,658,663,857,
1022,1038,1356,1358,1360,1376,1381,1515,1812,2202,2207,2215,2573,3232],[1,2,4,
5,6,13,22,23,26,28,29,32,35,40,44,108,118,130,132,136,173,189,201,204,206,208,
215,216,366,369,405,414,416,429,593,595,650,651,656,658,660,661,918,958,961,
997,1038,1353,1354,1361,1362,1366,1371,1680,1810,1811,1812,2211,2212,2574,2575
,2580,3233],[1,2,3,4,5,6,12,13,15,16,17,26,28,29,31,32,33,35,40,42,44,45,55,
118,130,131,132,135,136,165,172,173,184,185,186,187,189,215,216,366,369,380,
382,405,424,425,429,430,431,549,650,651,653,655,656,658,659,660,661,664,877,
878,879,918,939,978,1038,1366,1367,1368,1369,1371,1375,1377,1380,1630,1810,
1811,1812,1813,1815,2217,2576,2578,2580,2584,2586,3234],[1,2,4,5,6,10,13,19,26
,28,29,32,35,40,41,44,65,118,130,132,136,160,168,173,179,180,189,215,216,366,
369,381,383,405,423,429,433,557,650,651,652,656,658,660,661,663,876,880,881,
918,945,984,1038,1366,1370,1371,1374,1376,1378,1628,1810,1811,1812,1814,1816,
2216,2577,2579,2580,2583,2587,3235],[1,2,4,5,6,13,22,23,26,28,29,32,35,40,44,
108,118,130,132,136,173,189,215,216,366,369,405,429,436,438,650,651,656,658,
660,661,848,849,918,1011,1038,1366,1371,1607,1810,1811,1812,2580,2581,2582,
3236],[1,2,4,5,6,13,22,23,26,28,32,40,41,44,108,118,130,132,136,160,173,199,
201,204,206,215,216,381,383,405,414,416,429,593,613,650,651,652,656,660,663,
945,955,958,997,1038,1351,1353,1354,1361,1366,1378,1704,1810,1814,1816,2211,
2220,2575,2587,2588,3237],[1,2,3,4,5,6,15,23,26,31,33,40,42,44,45,106,118,130,
131,135,165,184,200,201,204,209,215,216,380,382,405,416,425,591,617,650,651,
653,655,659,664,939,954,958,993,1038,1352,1353,1354,1364,1367,1380,1703,1810,
1813,1815,2210,2221,2575,2586,2589,3238],[1,2,4,5,6,13,22,26,28,32,40,41,44,
101,118,130,132,136,160,173,199,206,208,215,216,381,383,405,414,429,586,619,
650,651,652,656,660,663,945,955,961,987,1038,1351,1361,1362,1366,1378,1699,
1810,1814,1816,2208,2226,2574,2587,2588,3239],[1,2,3,4,5,6,15,22,23,26,31,33,
40,42,44,45,109,118,130,131,135,165,184,200,206,208,209,215,216,380,382,405,
414,416,425,590,623,650,651,653,655,659,664,939,954,961,988,1038,1352,1361,
1362,1364,1367,1380,1702,1810,1813,1815,2209,2227,2574,2586,2589,3240],[1,2,5,
6,7,8,28,29,44,48,118,121,124,125,126,214,366,387,393,439,440,441,442,443,631,
1033,1036,1037,1297,1382,1383,1384,1385,1386,2229,2238,2239,2590,3241],[1,3,5,
6,7,8,33,45,47,48,118,121,124,125,126,213,382,394,397,410,439,440,441,442,443,
631,1028,1030,1032,1035,1322,1382,1383,1384,1385,1386,2231,2232,2235,2237,2590
,3242],[1,4,5,6,7,8,32,41,42,46,48,118,121,124,125,126,212,383,384,401,409,439
,440,441,442,443,631,1027,1029,1031,1034,1320,1382,1383,1384,1385,1386,2230,
2233,2234,2236,2590,3243],[1,2,3,4,6,9,11,12,13,14,15,16,17,18,21,24,25,31,33,
44,49,50,52,54,55,57,58,59,60,61,64,66,67,68,69,70,72,78,82,83,84,85,86,89,90,
91,94,95,102,105,111,113,114,115,141,144,156,182,184,218,220,222,223,224,225,
226,229,232,233,234,235,238,254,255,256,259,274,296,297,298,300,301,302,303,
304,305,306,307,308,309,310,311,312,313,314,315,333,341,342,343,451,459,507,
510,552,666,667,669,670,687,691,692,693,712,713,714,715,736,744,745,746,747,
748,749,753,768,796,797,798,1043,1045,1058,1093,1102,1387,1416,1420,1427,1428,
1429,1430,1817,1819,1892,1902,2241,2607,2617,2618,3244],[1,2,3,4,6,9,10,11,12,
13,14,15,16,17,18,19,20,21,22,23,24,25,29,35,44,50,51,52,53,54,55,56,57,58,59,
60,61,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,82,87,89,90,91,92,94,
95,100,101,103,104,105,106,107,108,109,110,111,112,141,144,156,188,189,218,221
,222,223,224,225,226,228,229,230,231,232,233,234,236,237,242,243,244,245,247,
250,251,257,258,261,262,263,264,265,266,268,269,270,271,272,273,274,275,278,
279,281,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,331,333,
334,335,336,337,338,340,447,450,457,460,507,510,551,667,668,669,670,688,694,
695,696,700,701,707,708,709,710,711,735,737,742,750,751,752,753,754,756,757,
758,759,760,761,762,767,784,788,789,791,792,793,794,1043,1045,1058,1090,1098,
1099,1104,1387,1415,1417,1418,1419,1422,1423,1424,1425,1426,1432,1818,1824,
1891,1897,1902,2242,2607,2622,2623,3245],[1,2,3,4,7,9,11,12,13,14,15,16,17,18,
21,24,25,36,39,47,49,50,52,54,55,57,58,59,60,61,64,66,67,68,69,70,72,78,82,83,
84,85,86,89,90,91,94,95,102,105,111,113,114,115,149,150,167,196,198,218,220,
222,223,224,225,226,229,232,233,234,235,238,254,255,256,259,274,296,297,298,
300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,333,341,342,
343,462,463,465,466,515,516,517,518,563,666,667,669,670,687,691,692,693,712,
713,714,715,736,744,745,746,747,748,749,753,768,796,797,798,1056,1057,1061,
1106,1107,1108,1109,1110,1112,1387,1416,1420,1427,1428,1429,1430,1822,1823,
1900,1905,2241,2608,2620,2621,3246],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,18,19
,20,21,24,25,40,41,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68
,69,70,71,72,78,82,83,84,85,86,89,90,91,94,95,96,97,98,99,100,102,103,104,105,
111,112,113,114,115,139,155,157,160,162,207,220,221,222,223,225,226,228,229,
230,231,232,233,235,257,259,264,265,266,273,274,291,292,293,294,295,296,297,
298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,
317,318,319,320,321,322,323,324,325,326,327,328,329,330,333,334,335,336,341,
342,343,344,345,500,502,520,521,524,573,577,611,618,622,666,668,669,671,672,
673,674,675,676,677,678,679,680,681,682,683,684,685,686,733,735,736,744,745,
746,747,748,749,750,751,752,753,754,756,768,829,830,831,832,833,834,1041,1042,
1047,1051,1141,1217,1226,1271,1408,1409,1410,1411,1415,1416,1434,1838,1840,
1844,1901,1907,1908,1909,1949,1956,2240,2638,2639,2709,3247],[1,2,3,4,6,9,10,
11,12,13,14,15,16,17,18,19,20,21,24,25,42,44,45,49,50,51,52,53,54,55,56,57,58,
59,60,61,62,63,64,65,66,67,68,69,70,71,72,78,82,83,84,85,86,89,90,91,94,95,96,
97,98,99,100,102,103,104,105,111,112,113,114,115,140,144,156,165,166,220,221,
222,223,225,226,228,229,230,231,232,233,235,257,259,264,265,266,273,274,291,
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,
330,333,334,335,336,341,342,343,344,345,501,503,504,505,509,510,526,565,666,
668,669,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,733,
735,736,744,745,746,747,748,749,750,751,752,753,754,756,768,829,830,831,832,
833,834,1040,1043,1049,1053,1054,1055,1282,1408,1409,1410,1411,1415,1416,1434,
1832,1839,1842,2021,2240,2645,3248],[1,2,3,4,5,9,11,12,13,14,15,16,17,18,21,24
,25,40,41,49,50,52,54,55,57,58,59,60,61,64,66,67,68,69,70,72,78,82,83,84,85,86
,89,90,91,94,95,102,105,111,113,114,115,139,153,157,160,162,207,218,220,222,
223,224,225,226,229,232,233,234,235,238,254,255,256,259,274,296,297,298,300,
301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,333,341,342,343,
500,502,520,522,524,573,577,622,666,667,669,670,687,691,692,693,712,713,714,
715,736,744,745,746,747,748,749,753,768,796,797,798,1039,1042,1047,1051,1067,
1141,1226,1233,1387,1416,1420,1427,1428,1429,1430,1838,1841,1844,1909,1922,
1949,1956,2241,2594,2639,2644,3249],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,18,19
,20,21,22,23,24,25,40,41,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68
,69,70,71,73,74,75,76,77,79,80,81,82,87,89,90,91,92,94,95,100,101,103,104,105,
106,107,108,109,110,111,112,139,153,155,157,160,162,206,207,218,221,222,223,
224,225,226,228,229,230,231,232,233,234,236,237,242,243,244,245,247,250,251,
257,258,261,262,263,264,265,266,268,269,270,271,272,273,274,275,278,279,281,
283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,331,333,334,335,
336,337,338,340,500,502,521,522,524,569,576,577,618,619,667,668,669,670,688,
694,695,696,700,701,707,708,709,710,711,735,737,742,750,751,752,753,754,756,
757,758,759,760,761,762,767,784,788,789,791,792,793,794,1039,1041,1042,1047,
1051,1067,1139,1141,1217,1225,1231,1232,1387,1415,1417,1418,1419,1422,1423,
1424,1425,1426,1432,1840,1841,1844,1908,1910,1925,1948,1955,1956,2242,2594,
2638,2640,2642,2643,3250],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,18,19,20,21,24,
25,46,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,
78,82,83,84,85,86,89,90,91,94,95,96,97,98,99,100,102,103,104,105,111,112,113,
114,115,143,145,147,148,152,220,221,222,223,225,226,228,229,230,231,232,233,
235,257,259,264,265,266,273,274,291,292,293,294,295,296,297,298,299,300,301,
302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,
321,322,323,324,325,326,327,328,329,330,333,334,335,336,341,342,343,344,345,
508,511,512,513,519,566,567,568,666,668,669,671,672,673,674,675,676,677,678,
679,680,681,682,683,684,685,686,733,735,736,744,745,746,747,748,749,750,751,
752,753,754,756,768,829,830,831,832,833,834,1060,1064,1408,1409,1410,1411,1415
,1416,1434,1833,1834,1835,1836,1837,1904,1906,2019,2020,2240,3251],[1,2,3,4,5,
9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,28,32,40,41,50,51,52,53,54,
55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,82,87,
89,90,91,92,94,95,100,101,103,104,105,106,107,108,109,110,111,112,139,153,157,
160,162,168,173,174,179,180,190,199,201,218,221,222,223,224,225,226,228,229,
230,231,232,233,234,236,237,242,243,244,245,247,250,251,257,258,261,262,263,
264,265,266,268,269,270,271,272,273,274,275,278,279,281,283,284,285,286,287,
290,291,292,293,294,295,296,297,298,299,331,333,334,335,336,337,338,340,445,
449,474,482,483,484,494,500,502,522,524,528,557,559,560,613,616,667,668,669,
670,688,694,695,696,700,701,707,708,709,710,711,735,737,742,750,751,752,753,
754,756,757,758,759,760,761,762,767,784,788,789,791,792,793,794,1039,1042,1047
,1051,1067,1069,1071,1072,1078,1083,1089,1115,1117,1126,1183,1202,1206,1207,
1208,1387,1415,1417,1418,1419,1422,1423,1424,1425,1426,1432,1841,1844,1851,
1855,1856,1857,1865,1874,1877,1888,1889,1944,1970,1971,2242,2594,2610,2614,
2688,2689,2690,2691,3252],[1,2,4,6,9,10,11,12,13,19,20,22,23,24,29,31,35,42,44
,49,50,51,57,65,71,73,74,75,76,77,78,82,87,88,96,100,101,102,107,108,116,140,
144,163,172,177,178,189,218,219,221,236,237,238,239,240,241,257,258,259,260,
261,262,263,280,281,282,316,331,332,346,347,352,358,362,446,448,450,451,452,
501,503,505,562,565,671,687,688,689,690,716,717,718,742,743,769,778,799,800,
809,813,821,1050,1070,1080,1081,1082,1084,1275,1388,1389,1435,1446,1447,1456,
1462,1832,1882,2256,2591,2629,2631,3253],[1,2,3,4,6,10,11,12,13,14,15,16,17,19
,20,21,22,23,24,25,31,33,35,42,44,49,51,54,55,56,57,62,65,69,70,71,74,76,77,78
,79,80,81,82,86,87,88,89,92,96,100,102,106,107,108,109,110,113,116,140,144,163
,178,184,187,195,219,231,234,239,240,242,243,248,254,255,257,259,260,261,263,
269,272,278,279,280,284,287,288,290,303,316,338,339,346,351,352,358,362,448,
452,453,459,460,501,503,505,550,565,671,689,693,696,704,718,719,721,762,765,
769,778,802,803,811,813,821,1050,1075,1076,1077,1082,1094,1275,1389,1392,1435,
1448,1449,1458,1463,1832,1886,2259,2592,2629,2631,3254],[1,2,3,4,8,10,11,12,13
,14,15,16,17,19,20,21,22,23,24,25,34,37,38,43,46,49,51,54,55,56,57,62,65,69,70
,71,74,76,77,78,79,80,81,82,86,87,88,89,92,96,100,102,106,107,108,109,110,113,
116,143,148,164,191,192,194,197,219,231,234,239,240,242,243,248,254,255,257,
259,260,261,263,269,272,278,279,280,284,287,288,290,303,316,338,339,346,351,
352,358,362,454,458,464,469,472,506,508,513,564,566,671,689,693,696,704,718,
719,721,762,765,769,778,802,803,811,813,821,1052,1095,1096,1097,1111,1114,1276
,1389,1392,1435,1448,1449,1458,1463,1833,1898,2259,2593,2630,2632,3255],[1,2,3
,4,5,10,11,12,13,14,15,16,17,19,21,23,24,25,28,30,32,40,41,49,51,55,57,62,63,
64,65,66,67,68,69,70,77,78,79,82,85,86,87,89,90,91,92,96,99,100,102,103,104,
105,106,107,110,113,114,155,157,158,160,162,168,169,170,171,173,175,176,179,
180,181,201,202,205,207,219,220,227,228,233,239,240,246,249,257,259,263,264,
265,266,268,271,273,274,279,284,300,301,302,303,304,305,316,326,327,328,329,
330,336,337,343,344,476,482,490,491,492,494,495,520,521,523,524,533,536,537,
538,539,540,541,542,543,544,545,546,556,557,571,573,577,578,585,587,588,589,
594,598,601,605,606,611,612,614,616,618,620,622,624,665,671,684,685,686,689,
697,698,699,718,722,756,759,768,785,787,829,1066,1121,1122,1123,1124,1125,1129
,1136,1148,1157,1158,1159,1172,1176,1178,1179,1180,1185,1187,1196,1197,1199,
1204,1205,1206,1217,1219,1226,1228,1229,1236,1237,1244,1247,1250,1255,1260,
1262,1264,1267,1268,1269,1271,1273,1274,1389,1394,1408,1431,1488,1870,1907,
1923,1927,1959,1960,1963,1966,1967,1974,1979,1987,1988,1990,1993,1997,2010,
2039,2054,2059,2245,2615,2626,2627,2668,2684,2695,2698,3256],[1,2,3,4,5,9,10,
11,12,13,14,15,16,17,19,21,22,23,24,25,28,30,32,40,41,49,50,51,52,54,55,57,62,
63,64,65,66,67,68,69,70,73,74,75,76,77,78,79,80,81,82,85,86,89,90,91,96,99,100
,101,102,103,104,105,108,109,110,113,114,153,155,157,160,162,169,170,171,173,
174,175,176,180,181,201,202,206,207,218,220,228,229,232,233,234,236,237,238,
242,243,244,245,247,254,255,257,258,259,264,265,266,273,274,281,283,284,285,
286,287,290,300,301,302,303,304,305,316,326,327,328,329,330,336,340,343,344,
476,478,484,485,490,492,495,520,521,522,524,528,529,531,532,533,538,539,540,
542,543,544,545,546,556,569,573,576,577,584,587,588,593,594,600,601,606,607,
611,612,614,615,618,619,622,624,667,671,684,685,686,687,688,691,692,693,694,
695,696,700,701,716,717,719,720,721,723,724,756,767,768,784,788,796,829,1067,
1121,1122,1127,1128,1129,1130,1136,1146,1152,1154,1157,1158,1159,1168,1179,
1180,1186,1188,1190,1196,1197,1204,1205,1209,1213,1217,1225,1226,1231,1232,
1233,1236,1242,1244,1247,1252,1255,1258,1259,1261,1265,1267,1268,1269,1271,
1273,1274,1388,1390,1391,1392,1393,1395,1408,1427,1432,1487,1489,1871,1907,
1922,1925,1926,1928,1957,1958,1961,1962,1965,1966,1967,1975,1978,1980,1982,
1984,1989,1991,1992,1993,2008,2010,2039,2053,2055,2056,2059,2246,2616,2626,
2628,2666,2667,2685,2686,2694,2696,2697,2699,3257],[1,2,3,4,6,9,11,12,13,14,15
,16,17,18,21,24,25,42,44,45,49,50,52,54,55,57,58,59,60,61,64,66,67,68,69,70,72
,78,82,83,84,85,86,89,90,91,94,95,102,105,111,113,114,115,141,144,156,165,166,
218,220,222,223,224,225,226,229,232,233,234,235,238,254,255,256,259,274,296,
297,298,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,333,
341,342,343,503,507,509,510,526,666,667,669,670,687,691,692,693,712,713,714,
715,736,744,745,746,747,748,749,753,768,796,797,798,1043,1045,1054,1055,1058,
1387,1416,1420,1427,1428,1429,1430,1839,1845,1846,1902,2241,2607,2715,2716,
3258],[1,2,3,4,6,10,11,12,13,14,15,16,17,19,21,23,24,25,42,44,45,49,51,55,57,
62,63,64,65,66,67,68,69,70,77,78,79,82,85,86,87,89,90,91,92,96,99,100,102,103,
104,105,106,107,110,113,114,140,144,159,163,165,219,220,227,228,233,239,240,
246,249,257,259,263,264,265,266,268,271,273,274,279,284,300,301,302,303,304,
305,316,326,327,328,329,330,336,337,343,344,501,503,504,505,509,510,527,565,
665,671,684,685,686,689,697,698,699,718,722,756,759,768,785,787,829,1048,1049,
1050,1055,1282,1389,1394,1408,1431,1488,1832,1843,2245,2629,2645,3259],[1,2,3,
4,6,9,10,11,12,13,14,15,16,17,19,21,22,23,24,25,29,31,33,35,42,44,45,49,50,51,
52,54,55,57,62,63,64,65,66,67,68,69,70,73,74,75,76,77,78,79,80,81,82,85,86,89,
90,91,96,99,100,101,102,103,104,105,108,109,110,113,114,140,144,165,172,184,
185,186,187,189,218,220,228,229,232,233,234,236,237,238,242,243,244,245,247,
254,255,257,258,259,264,265,266,273,274,281,283,284,285,286,287,290,300,301,
302,303,304,305,316,326,327,328,329,330,336,340,343,344,446,448,450,451,452,
453,459,460,501,503,504,505,509,510,549,565,667,671,684,685,686,687,688,691,
692,693,694,695,696,700,701,716,717,719,720,721,723,724,756,767,768,784,788,
796,829,1049,1055,1070,1073,1074,1075,1076,1080,1084,1090,1091,1092,1093,1094,
1282,1388,1390,1391,1392,1393,1395,1408,1427,1432,1487,1489,1832,1887,1899,
2246,2591,2592,2645,3260],[1,2,3,4,6,10,11,12,13,14,15,16,17,18,19,21,23,24,25
,33,35,42,44,45,49,51,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,77,78,79
,82,83,84,85,86,87,89,90,91,92,94,95,96,99,100,102,103,104,105,106,107,110,111
,113,114,115,140,144,165,182,183,187,188,220,224,225,226,228,233,234,242,243,
250,251,254,255,256,257,259,263,264,265,266,268,271,273,274,279,284,296,300,
301,302,303,304,305,307,308,311,312,313,316,326,327,328,329,330,336,337,341,
343,344,452,453,459,460,501,503,504,505,509,510,553,565,670,671,684,685,686,
693,696,707,708,709,712,713,714,715,719,721,725,726,728,729,745,756,759,768,
789,791,797,798,829,1049,1055,1075,1079,1085,1086,1094,1099,1100,1101,1102,
1282,1392,1402,1403,1406,1408,1423,1430,1480,1483,1832,1879,1893,2250,2592,
2645,3261],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,32,40,
41,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,74,75,76,77,
80,81,82,87,88,89,90,91,92,93,94,95,100,101,103,104,105,106,107,108,109,110,
111,112,139,155,157,160,162,174,180,190,199,201,207,221,222,223,225,226,228,
229,230,231,232,233,237,240,241,243,244,245,247,248,249,250,251,253,257,260,
261,262,264,265,266,267,269,270,271,272,273,274,275,276,277,278,280,282,285,
286,288,289,290,291,292,293,294,295,296,297,298,299,333,334,335,336,337,340,
346,348,349,350,449,479,483,485,494,500,502,521,524,559,577,608,613,618,668,
669,690,700,702,703,704,709,710,711,735,738,739,740,750,751,752,753,754,755,
756,758,760,766,769,770,771,772,773,774,777,786,787,788,791,793,795,807,808,
1041,1042,1047,1051,1072,1083,1089,1115,1117,1141,1191,1203,1207,1217,1246,
1412,1413,1415,1425,1433,1466,1472,1473,1474,1498,1499,1840,1844,1852,1856,
1858,1865,1888,1908,1940,1956,1970,2017,2287,2636,2638,2646,2687,2689,3262],[1
,2,3,4,7,10,11,12,13,14,15,16,17,18,19,21,23,24,25,47,51,54,55,57,58,59,60,61,
62,63,64,65,67,68,69,70,77,79,82,87,89,90,91,92,100,103,104,105,106,107,110,
146,149,150,219,224,225,226,227,228,233,234,239,240,242,243,246,249,250,251,
257,263,264,265,266,268,271,273,274,279,284,336,337,348,349,514,515,516,517,
518,665,670,689,696,697,698,699,707,708,709,738,739,756,759,775,785,787,789,
791,1061,1062,1266,1423,1431,1472,1505,1903,1905,2069,2076,2255,3263],[1,2,3,4
,6,10,11,12,13,14,15,16,17,19,21,22,23,24,25,42,44,45,49,51,55,57,62,63,64,65,
66,67,68,69,70,78,82,85,86,89,90,91,96,99,100,101,102,103,104,105,108,109,110,
111,112,113,114,140,144,165,208,209,220,228,233,244,251,252,257,259,264,265,
266,273,274,300,301,302,303,304,305,316,326,327,328,329,330,332,334,336,339,
340,343,344,501,503,504,505,509,510,565,623,671,684,685,686,727,730,734,756,
768,777,790,792,829,1049,1055,1140,1144,1282,1408,1476,1481,1832,1911,2243,
2645,3264],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25,40,41,50,
51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,82,89,90,91,94,95,
100,103,104,105,106,107,110,111,112,139,155,157,160,162,201,207,221,222,223,
225,226,228,229,230,231,232,233,239,246,247,251,252,253,257,264,265,266,273,
274,291,292,293,294,295,296,297,298,299,333,334,335,336,337,500,502,521,524,
577,616,618,668,669,718,722,727,730,731,732,735,750,751,752,753,754,756,785,
790,794,795,1041,1042,1047,1051,1117,1141,1185,1217,1415,1481,1486,1488,1490,
1840,1844,1908,1956,1971,1990,2281,2638,2649,3265],[1,2,3,4,5,9,10,11,12,13,14
,15,16,17,18,19,20,21,24,25,40,41,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64
,65,67,68,69,70,71,82,89,90,91,94,95,100,103,104,105,111,112,116,117,139,155,
157,160,162,207,221,222,223,225,226,228,229,230,231,232,233,257,264,265,266,
273,274,291,292,293,294,295,296,297,298,299,333,334,335,336,352,353,354,355,
356,357,500,502,521,524,577,618,625,668,669,735,750,751,752,753,754,756,778,
779,780,781,782,783,835,836,841,842,1041,1042,1047,1051,1141,1217,1270,1415,
1469,1470,1471,1506,1840,1844,1908,1956,1973,2045,2288,2638,2708,3266],[1,2,3,
4,6,10,11,12,13,14,15,16,17,19,21,23,24,25,42,44,45,49,51,55,57,62,63,64,65,66
,67,68,69,70,78,82,85,86,89,90,91,96,99,100,102,103,104,105,106,107,110,113,
114,117,140,144,165,200,204,220,228,233,240,243,249,251,257,259,264,265,266,
273,274,300,301,302,303,304,305,316,326,327,328,329,330,336,337,343,344,348,
349,353,354,355,501,503,504,505,509,510,565,617,671,684,685,686,738,739,756,
768,779,780,787,791,824,825,829,836,840,846,1049,1055,1116,1118,1282,1408,1469
,1472,1495,1502,1832,1972,2075,2279,2645,3267],[1,2,3,4,5,9,10,11,12,13,14,15,
16,17,18,19,20,21,24,25,40,41,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,
67,68,69,70,71,82,89,90,91,94,95,100,102,103,104,105,111,112,113,114,115,139,
155,157,160,162,207,221,222,223,225,226,228,229,230,231,232,233,238,254,255,
256,257,264,265,266,273,274,291,292,293,294,295,296,297,298,299,333,334,335,
336,341,342,343,500,502,521,524,577,618,622,668,669,716,719,724,725,726,735,
736,750,751,752,753,754,756,796,797,798,1041,1042,1047,1051,1141,1217,1233,
1415,1420,1480,1485,1487,1840,1844,1908,1909,1956,1957,2253,2638,2644,3268],[1
,2,3,4,5,9,11,12,13,14,15,16,17,18,21,22,23,24,25,40,41,49,50,52,54,55,57,58,
59,60,61,64,66,67,68,69,70,72,78,82,83,84,85,86,89,90,91,94,95,101,102,105,106
,107,108,109,110,111,113,114,115,139,157,160,162,206,207,220,222,223,225,226,
229,232,233,235,236,238,242,245,250,254,255,256,259,274,296,297,298,300,301,
302,303,304,305,306,307,308,309,310,311,312,313,314,315,331,333,337,338,340,
341,342,343,500,502,520,524,573,577,619,622,666,669,717,720,721,723,728,729,
736,737,744,745,746,747,748,749,753,768,784,789,793,796,797,798,1042,1047,1051
,1139,1141,1226,1231,1233,1416,1418,1420,1482,1483,1484,1489,1838,1844,1909,
1910,1949,1956,1958,2254,2639,2642,2644,3269],[1,2,3,4,5,9,10,11,12,13,14,15,
16,17,18,19,20,21,22,23,24,25,28,32,40,41,50,51,52,53,54,55,56,57,58,59,60,61,
62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,82,87,89,90,91,92,94,95,100
,101,103,104,105,106,107,108,109,110,111,112,139,155,157,160,162,168,173,179,
180,201,207,219,221,222,223,225,226,227,228,229,230,231,232,233,239,240,244,
245,246,247,249,250,251,252,253,257,258,263,264,265,266,268,271,273,274,279,
280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,
299,332,333,334,335,336,337,339,340,445,449,482,494,500,502,521,524,536,556,
557,577,616,618,665,668,669,689,697,698,699,701,705,706,708,710,711,734,735,
743,750,751,752,753,754,756,759,763,764,765,766,767,776,777,785,787,790,792,
793,794,795,1041,1042,1047,1051,1069,1071,1072,1078,1117,1125,1141,1185,1206,
1217,1264,1414,1415,1421,1426,1431,1476,1477,1478,1490,1497,1498,1840,1844,
1857,1865,1875,1876,1877,1908,1956,1971,1988,2273,2609,2638,2649,2677,2690,
3270],[1,2,3,4,6,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,31,35,42,44,45,
49,51,53,54,55,56,57,62,63,64,65,66,67,68,69,70,71,74,76,77,78,80,81,82,85,86,
87,88,89,90,91,92,93,96,99,100,101,102,103,104,105,108,109,110,113,114,116,140
,144,165,177,178,186,195,220,228,230,233,257,259,260,261,264,265,266,267,270,
271,273,274,276,277,278,280,282,285,288,289,290,300,301,302,303,304,305,316,
326,327,328,329,330,336,340,343,344,346,350,352,356,357,358,361,362,363,448,
452,501,503,504,505,509,510,548,565,671,684,685,686,740,755,756,758,766,768,
769,772,773,774,778,783,813,814,815,816,821,828,829,835,837,844,1049,1055,1074
,1077,1081,1082,1275,1282,1408,1413,1435,1436,1437,1471,1493,1503,1832,1885,
2070,2282,2631,2645,3271],[1,2,3,4,8,9,11,12,13,14,15,16,17,18,21,24,25,46,49,
50,52,54,55,57,58,59,60,61,64,66,67,68,69,70,72,78,82,83,84,85,86,89,90,91,94,
95,102,105,111,113,114,115,145,148,152,218,220,222,223,224,225,226,229,232,233
,234,235,238,254,255,256,259,274,296,297,298,300,301,302,303,304,305,306,307,
308,309,310,311,312,313,314,315,333,341,342,343,511,513,519,666,667,669,670,
687,691,692,693,712,713,714,715,736,744,745,746,747,748,749,753,768,796,797,
798,1059,1064,1065,1387,1416,1420,1427,1428,1429,1430,1847,1850,1906,2241,2606
,3272],[1,2,3,4,5,9,11,12,13,14,15,16,17,18,21,22,23,24,25,40,41,50,52,54,55,
60,64,67,78,82,83,84,85,86,89,90,91,94,95,96,97,98,99,100,101,102,103,104,105,
108,109,110,111,112,113,114,115,116,117,139,157,160,199,201,207,222,229,237,
243,244,247,274,296,297,298,301,306,311,316,317,318,319,320,321,322,323,324,
325,326,327,328,329,330,333,334,335,336,340,341,342,343,344,345,346,348,350,
352,353,354,355,356,357,500,502,573,577,611,613,618,622,625,733,735,736,738,
740,744,753,777,788,821,822,823,824,825,826,827,828,829,830,831,832,833,834,
835,836,841,842,1042,1047,1115,1117,1141,1191,1270,1271,1434,1474,1500,1501,
1502,1503,1506,1901,1908,1909,1949,1956,1970,2032,2045,2291,2636,2708,2709,
3273],[1,2,3,4,5,9,11,12,13,14,15,16,17,18,19,20,21,23,24,25,32,40,41,50,52,53
,54,55,56,60,63,64,67,71,75,78,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96
,97,98,99,100,102,103,104,105,106,107,110,111,112,113,114,115,116,117,139,157,
160,174,180,190,207,222,229,230,253,260,262,267,269,271,272,274,275,276,277,
286,296,297,298,301,306,311,316,317,318,319,320,321,322,323,324,325,326,327,
328,329,330,333,334,335,336,337,341,342,343,344,345,349,352,353,354,355,356,
357,358,359,360,361,362,363,364,365,449,500,502,559,573,577,608,611,618,622,
625,733,735,736,739,744,753,755,760,795,807,808,813,814,815,816,817,818,819,
820,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,
1042,1047,1072,1083,1089,1141,1246,1270,1271,1280,1288,1434,1466,1493,1494,
1495,1496,1506,1507,1508,1509,1510,1888,1901,1908,1909,1940,1949,1956,2045,
2060,2292,2646,2708,2709,2726,2731,3274],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,
19,20,21,22,23,24,25,28,32,40,41,50,51,52,53,54,55,56,57,62,63,64,65,67,68,69,
70,71,73,74,75,76,77,79,80,81,87,88,89,92,93,94,95,100,101,103,104,105,106,107
,108,109,110,111,112,139,153,160,162,168,173,174,179,180,190,201,206,207,218,
221,228,229,230,231,232,233,234,237,239,240,241,242,243,244,246,247,248,249,
250,251,252,253,258,260,261,262,263,265,267,268,269,270,271,272,275,276,277,
278,279,280,281,282,283,284,285,286,287,288,289,290,295,296,299,331,333,334,
335,336,337,338,340,347,349,351,445,449,484,494,500,502,522,528,557,559,560,
597,607,608,616,618,619,667,668,690,695,702,703,704,707,710,735,737,739,741,
742,752,755,757,758,759,760,761,762,766,767,775,776,777,785,786,787,788,789,
790,791,792,794,795,799,801,803,805,807,808,1039,1047,1051,1069,1071,1072,1078
,1083,1089,1117,1126,1139,1141,1208,1232,1246,1254,1263,1264,1417,1419,1424,
1433,1466,1467,1475,1478,1479,1490,1497,1499,1504,1505,1841,1855,1865,1874,
1877,1888,1889,1908,1910,1934,1939,1940,1971,1981,2290,2610,2643,2646,2647,
2677,2678,2691,3275],[1,2,3,4,6,9,11,12,13,14,15,16,17,18,19,20,21,23,24,25,33
,35,42,44,45,49,50,52,53,54,55,56,57,58,59,60,61,63,64,66,67,68,69,70,71,72,75
,78,81,82,83,84,85,86,87,89,90,91,92,94,95,97,98,99,102,103,104,105,106,107,
110,111,112,113,114,115,141,144,165,182,183,187,188,218,220,226,229,230,232,
233,234,235,238,242,247,250,251,254,255,256,259,262,265,269,271,272,273,274,
275,286,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,307,308,
309,310,311,312,313,314,315,317,318,319,320,321,322,323,324,325,326,329,330,
334,335,337,341,342,343,345,457,459,460,503,507,509,510,553,667,675,676,677,
678,679,681,682,683,685,687,691,692,693,695,707,710,713,714,721,723,724,725,
726,728,729,745,747,748,752,754,760,768,789,794,796,797,832,833,834,1055,1058,
1094,1099,1100,1101,1102,1104,1395,1396,1397,1400,1401,1402,1403,1410,1424,
1427,1428,1482,1483,1485,1819,1824,1845,1846,1893,1902,2251,2597,2599,2600,
2618,2622,2715,3276],[1,2,3,4,6,9,11,12,13,14,15,16,17,18,19,20,21,23,24,25,31
,33,35,44,45,49,50,52,53,54,55,56,57,58,59,60,61,63,64,66,67,68,69,70,71,72,75
,78,81,82,83,84,85,86,87,89,90,91,92,94,95,97,98,99,102,103,104,105,106,107,
110,111,112,113,114,115,141,144,166,183,184,186,188,218,220,226,229,230,232,
233,234,235,238,242,247,250,251,254,255,256,259,262,265,269,271,272,273,274,
275,286,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,307,308,
309,310,311,312,313,314,315,317,318,319,320,321,322,323,324,325,326,329,330,
334,335,337,341,342,343,345,451,457,459,460,507,509,510,555,667,675,676,677,
678,679,681,682,683,685,687,691,692,693,695,707,710,713,714,721,723,724,725,
726,728,729,745,747,748,752,754,760,768,789,794,796,797,832,833,834,1054,1058,
1091,1093,1099,1100,1101,1104,1395,1396,1397,1400,1401,1402,1403,1410,1424,
1427,1428,1482,1483,1485,1817,1819,1824,1846,1895,1902,2251,2598,2599,2600,
2617,2622,2716,3277],[1,2,3,4,6,9,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25
,29,33,35,44,45,50,51,52,54,55,57,58,59,60,62,63,64,65,66,67,68,69,70,72,73,74
,75,76,77,79,80,81,82,83,84,85,86,89,90,91,94,95,97,98,99,100,101,103,104,105,
108,109,110,111,112,113,114,115,141,144,166,182,183,185,189,218,223,228,229,
232,233,234,235,236,237,242,243,244,245,247,254,256,257,258,264,265,266,273,
274,281,283,284,285,286,287,290,293,294,295,297,300,304,306,307,308,309,310,
311,312,313,314,315,317,318,319,320,321,322,323,324,325,328,329,334,336,340,
341,342,345,447,450,457,459,460,507,509,510,554,667,674,675,676,680,682,683,
684,688,691,694,695,696,700,701,713,714,719,720,725,726,728,729,747,749,751,
756,767,784,788,797,830,834,1054,1058,1090,1092,1098,1100,1101,1102,1390,1396,
1397,1398,1399,1406,1409,1428,1432,1480,1484,1818,1819,1824,1846,1894,1902,
2248,2596,2599,2600,2618,2623,2716,3278],[1,2,3,4,6,9,10,11,12,13,14,15,16,17,
19,21,22,23,24,25,29,31,33,35,42,44,45,49,50,51,52,54,55,57,62,63,64,65,66,67,
68,69,70,73,74,75,76,77,78,79,80,81,82,85,86,89,90,91,96,99,100,101,102,103,
104,105,108,109,110,113,114,141,144,165,172,184,185,186,187,189,218,220,228,
229,232,233,234,236,237,238,242,243,244,245,247,254,255,257,258,259,264,265,
266,273,274,281,283,284,285,286,287,290,300,301,302,303,304,305,316,326,327,
328,329,330,336,340,343,344,447,450,451,457,459,460,503,507,509,510,549,667,
671,684,685,686,687,688,691,692,693,694,695,696,700,701,716,717,719,720,721,
723,724,756,767,768,784,788,796,829,1055,1058,1084,1090,1091,1092,1093,1094,
1098,1388,1390,1391,1392,1393,1395,1408,1427,1432,1487,1489,1817,1818,1819,
1824,1845,1846,1899,1902,2246,2595,2596,2597,2598,2617,2623,2715,3279],[1,2,3,
4,7,10,11,12,13,14,15,16,17,18,19,21,23,24,25,36,39,47,51,55,57,58,59,60,62,63
,64,65,66,67,68,69,70,72,77,79,82,83,84,85,86,87,89,90,91,92,94,95,97,98,99,
100,103,104,105,106,107,110,111,112,113,114,115,146,150,167,196,198,219,223,
227,228,233,235,239,240,246,249,252,257,263,264,265,266,268,271,273,274,279,
284,293,294,295,297,300,304,306,307,308,309,310,311,312,313,314,315,317,318,
319,320,321,322,323,324,325,328,329,334,336,337,341,342,345,461,462,463,465,
466,470,514,515,516,517,563,665,674,675,676,680,682,683,684,689,697,698,699,
705,706,727,730,731,732,747,749,751,756,759,785,787,790,830,834,1057,1062,1106
,1107,1108,1109,1110,1112,1113,1404,1405,1407,1409,1421,1431,1481,1486,1820,
1821,1827,1828,1848,1849,1900,1903,2247,2601,2602,2603,2604,2619,2624,2717,
3280],[1,2,4,5,9,10,11,12,13,19,20,22,23,24,28,32,40,41,49,50,51,57,65,71,73,
74,75,76,77,78,82,87,88,96,100,101,102,107,108,116,153,155,157,160,162,168,173
,174,179,180,190,199,201,206,207,218,219,221,236,237,238,239,240,241,257,258,
259,260,261,262,263,280,281,282,316,331,332,346,347,352,358,362,474,479,482,
483,484,485,494,520,521,522,524,528,536,556,557,559,560,569,573,576,577,586,
593,597,607,608,611,613,616,618,619,622,625,671,687,688,689,690,716,717,718,
742,743,769,778,799,800,809,813,821,1067,1125,1126,1156,1167,1168,1169,1183,
1185,1191,1192,1202,1203,1206,1207,1208,1217,1225,1226,1231,1232,1233,1243,
1246,1254,1263,1264,1270,1271,1280,1288,1388,1389,1435,1446,1447,1456,1462,
1907,1922,1925,1944,1957,1958,1973,1981,1988,1990,2009,2017,2032,2036,2044,
2052,2060,2256,2616,2627,2673,2679,2681,2703,2706,3281],[1,2,3,4,5,10,11,12,13
,14,15,16,17,19,20,21,22,23,24,25,30,32,40,41,49,51,54,55,56,57,62,65,69,70,71
,74,76,77,78,79,80,81,82,86,87,88,89,92,96,100,102,106,107,108,109,110,113,116
,155,157,158,160,162,170,171,174,175,176,180,181,190,199,201,202,205,207,219,
231,234,239,240,242,243,248,254,255,257,259,260,261,263,269,272,278,279,280,
284,287,288,290,303,316,338,339,346,351,352,358,362,475,476,477,479,483,485,
492,494,495,520,521,523,524,531,532,535,538,545,546,559,571,573,577,578,583,
589,599,605,608,611,613,614,615,618,620,622,625,671,689,693,696,704,718,719,
721,762,765,769,778,802,803,811,813,821,1066,1128,1131,1149,1170,1173,1178,
1184,1186,1190,1191,1195,1203,1205,1207,1209,1210,1212,1217,1219,1226,1228,
1229,1238,1246,1248,1257,1258,1265,1270,1271,1280,1288,1389,1392,1435,1448,
1449,1458,1463,1907,1923,1945,1959,1973,1976,1982,1989,1991,1992,1995,2017,
2032,2034,2041,2051,2060,2259,2615,2628,2672,2680,2682,2704,2706,3282],[1,2,3,
4,5,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,28,30,32,40,41,50,51,52,53,
54,55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,82,87,88,89,90,
91,92,93,100,101,103,104,105,106,107,108,109,110,153,155,157,158,160,161,162,
168,169,170,171,173,174,175,176,179,180,181,190,199,201,202,205,206,207,218,
219,221,227,228,229,230,231,232,233,234,236,237,239,240,241,242,243,244,245,
246,247,248,249,257,258,260,261,262,263,264,265,266,267,268,269,270,271,272,
273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,331,
332,336,337,338,339,340,346,347,350,351,474,475,476,477,478,479,482,483,484,
485,490,491,492,493,494,521,522,523,524,525,528,529,530,531,532,533,534,535,
536,537,538,539,540,541,543,544,545,546,556,557,559,560,569,570,571,572,576,
577,578,579,583,584,585,586,587,588,589,593,597,598,599,600,605,606,607,608,
612,613,615,616,618,619,620,621,665,667,668,688,689,690,694,695,696,697,698,
699,700,701,702,703,704,734,737,740,741,742,743,755,756,757,758,759,760,761,
762,763,764,765,766,767,769,772,773,774,784,785,786,787,788,799,800,801,802,
803,804,805,806,809,810,811,812,1066,1067,1068,1122,1123,1124,1125,1126,1127,
1128,1129,1130,1131,1132,1133,1137,1138,1145,1146,1147,1148,1149,1150,1151,
1152,1153,1154,1155,1156,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,
1177,1178,1179,1180,1183,1184,1185,1186,1187,1188,1189,1191,1192,1193,1194,
1195,1196,1197,1198,1199,1200,1201,1202,1203,1206,1207,1208,1209,1210,1211,
1212,1213,1214,1217,1218,1219,1220,1221,1222,1223,1224,1225,1228,1229,1230,
1231,1232,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1246,1247,1248,
1249,1250,1251,1252,1253,1254,1257,1258,1259,1260,1261,1262,1263,1264,1413,
1414,1417,1431,1432,1433,1456,1457,1458,1459,1460,1461,1467,1468,1492,1870,
1871,1872,1920,1921,1923,1924,1925,1927,1928,1929,1930,1931,1932,1933,1943,
1944,1945,1946,1960,1961,1962,1963,1964,1968,1974,1975,1976,1977,1978,1979,
1981,1982,1983,1984,1985,1986,1987,1988,1993,1994,1995,1996,1997,1998,1999,
2000,2001,2002,2003,2004,2005,2006,2007,2008,2009,2012,2013,2014,2015,2016,
2017,2018,2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2033,2034,2035,
2036,2041,2042,2043,2044,2046,2047,2049,2050,2051,2052,2274,2664,2665,2667,
2668,2669,2681,2682,2683,2702,2710,2714,2718,2719,2721,2722,2724,2725,2727,
2730,3283],[1,2,3,4,5,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,28,30,32,40
,41,51,53,54,55,56,57,62,63,64,65,67,68,69,70,71,74,76,77,80,81,82,87,88,89,90
,91,92,93,100,101,102,103,104,105,106,107,108,109,110,113,114,155,157,158,160,
161,162,169,170,171,173,174,175,176,179,180,181,190,199,201,202,205,206,207,
228,230,233,238,239,246,254,255,257,260,261,264,265,266,267,270,271,273,274,
276,277,278,280,282,285,288,289,290,336,337,340,343,346,350,475,478,479,483,
485,490,491,492,493,494,521,524,525,530,531,533,534,535,538,539,540,541,543,
544,545,546,556,559,560,571,572,576,577,578,579,583,584,585,586,587,588,589,
594,599,600,605,606,607,608,612,613,614,616,618,620,621,622,716,718,719,722,
724,740,755,756,758,766,769,772,773,774,785,796,1122,1129,1132,1147,1149,1153,
1154,1167,1170,1171,1174,1176,1177,1179,1180,1185,1190,1191,1194,1196,1197,
1198,1200,1203,1207,1214,1217,1218,1220,1224,1228,1233,1234,1236,1237,1240,
1244,1246,1247,1249,1251,1262,1265,1413,1462,1463,1487,1488,1957,1959,1960,
1965,1968,1990,1991,1993,1994,1998,2003,2012,2014,2015,2016,2017,2018,2054,
2055,2285,2672,2673,2697,2698,2705,2713,2714,3284],[1,2,3,4,5,9,10,11,12,13,16
,19,20,21,22,23,24,25,28,30,32,40,41,50,51,57,65,66,68,71,73,74,75,76,77,79,82
,85,86,87,88,91,92,99,100,101,103,107,108,113,114,116,153,155,157,160,162,168,
173,174,175,179,180,181,190,199,201,202,205,206,207,218,219,221,236,237,239,
240,241,249,254,257,258,260,261,262,263,264,268,280,281,282,300,304,328,329,
331,332,346,347,352,361,363,474,479,482,483,484,485,490,494,495,521,522,524,
528,536,542,544,556,557,559,560,569,576,577,586,593,594,597,598,601,605,607,
608,612,613,614,616,618,619,620,624,626,684,688,689,690,691,697,718,719,720,
722,742,743,769,778,799,800,809,814,828,1067,1125,1126,1156,1158,1167,1168,
1169,1183,1185,1190,1191,1192,1196,1202,1203,1204,1206,1207,1208,1217,1225,
1228,1231,1232,1243,1246,1250,1254,1260,1263,1264,1268,1272,1273,1285,1289,
1390,1394,1436,1446,1449,1456,1463,1925,1926,1944,1959,1966,1969,1974,1981,
1988,1991,2009,2017,2036,2044,2048,2052,2053,2054,2058,2257,2672,2675,2681,
2684,2694,2700,2711,3285],[1,2,3,4,5,10,11,12,13,14,15,16,17,19,20,21,22,23,24
,25,30,32,40,41,51,54,55,56,57,62,65,66,68,69,70,71,74,76,77,79,80,81,82,85,86
,87,88,90,91,92,99,100,102,103,106,107,108,109,110,113,114,116,155,157,158,160
,162,170,171,174,175,176,180,181,190,199,201,202,205,207,219,231,234,238,239,
240,242,243,248,249,255,257,260,261,263,264,268,269,272,278,279,280,284,287,
288,290,300,302,304,328,329,338,339,346,351,352,361,363,475,476,477,479,483,
485,490,491,494,495,521,523,524,531,532,535,538,542,544,545,546,559,571,577,
578,583,589,594,599,601,605,606,608,612,613,614,615,616,618,620,622,624,626,
684,689,692,696,697,704,716,718,722,723,762,765,769,778,802,803,811,814,828,
1066,1128,1131,1149,1158,1170,1173,1178,1184,1185,1186,1187,1191,1195,1196,
1199,1203,1204,1207,1209,1210,1212,1217,1219,1228,1229,1233,1238,1246,1248,
1255,1257,1258,1265,1268,1272,1273,1285,1289,1391,1394,1436,1447,1448,1458,
1462,1923,1927,1945,1957,1966,1969,1976,1980,1982,1990,1995,2017,2034,2041,
2048,2051,2054,2056,2058,2258,2673,2674,2682,2685,2695,2701,2711,3286],[1,2,3,
4,5,9,10,11,12,13,14,15,16,17,19,21,22,23,24,25,28,32,40,41,50,51,52,54,55,57,
62,63,64,65,67,68,69,70,73,74,75,76,77,79,80,81,82,89,90,91,100,101,103,104,
105,106,107,108,109,110,111,112,139,153,160,162,168,173,179,180,199,201,206,
207,218,228,229,232,233,234,236,237,240,242,243,244,245,247,249,251,252,257,
258,264,265,266,273,274,281,283,284,285,286,287,290,331,332,333,334,335,336,
337,338,339,340,346,347,348,349,350,351,445,449,474,482,483,484,500,502,522,
557,586,593,613,616,618,619,667,688,694,695,696,700,701,734,735,737,738,739,
740,741,756,767,776,777,784,787,788,790,791,792,794,809,810,811,812,1039,1047,
1051,1069,1071,1072,1078,1115,1117,1139,1141,1183,1191,1192,1202,1232,1243,
1264,1419,1432,1472,1474,1475,1476,1478,1491,1492,1841,1851,1855,1856,1857,
1877,1908,1910,1913,1914,1970,1971,2052,2266,2614,2636,2637,2643,2670,2677,
2688,3287],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,32,40,41,
50,51,52,53,54,55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,87,
88,89,92,93,94,95,100,101,103,104,105,106,107,108,109,110,111,112,139,153,155,
160,162,174,180,190,199,201,206,218,221,228,229,230,231,232,233,234,237,239,
240,241,242,243,244,246,247,248,249,250,251,252,253,258,260,261,262,263,265,
267,268,269,270,271,272,275,276,277,278,279,280,281,282,283,284,285,286,287,
288,289,290,295,296,299,331,333,334,335,336,337,338,340,347,349,351,449,479,
484,485,494,500,502,521,522,559,569,576,613,616,619,667,668,690,695,702,703,
704,707,710,735,737,739,741,742,752,755,757,758,759,760,761,762,766,767,775,
776,777,785,786,787,788,789,790,791,792,794,795,799,801,803,805,807,808,1039,
1041,1047,1051,1072,1083,1089,1115,1117,1139,1183,1185,1192,1203,1208,1225,
1263,1417,1419,1424,1433,1466,1467,1475,1478,1479,1490,1497,1499,1504,1505,
1840,1841,1852,1855,1858,1865,1888,1910,1948,1955,1970,1971,2044,2290,2614,
2637,2640,2649,2678,2687,2691,3288],[1,2,3,4,5,10,11,12,13,14,15,16,17,19,20,
21,22,23,24,25,28,30,32,40,41,51,54,55,56,57,62,65,66,68,69,70,71,74,76,77,79,
80,81,82,85,86,87,88,90,91,92,99,100,102,103,106,107,108,109,110,113,114,116,
155,157,158,160,161,162,168,169,170,171,173,174,175,176,179,180,181,190,201,
202,205,206,207,219,231,234,238,239,240,242,243,248,249,255,257,260,261,263,
264,268,269,272,278,279,280,284,287,288,290,300,302,304,328,329,338,339,346,
351,352,361,363,476,477,478,482,485,490,491,494,495,521,524,525,531,532,533,
534,535,536,537,542,544,545,546,556,557,560,571,572,576,577,578,579,584,585,
589,593,594,597,598,599,600,601,605,606,612,614,615,616,618,620,621,622,624,
625,684,689,692,696,697,704,716,718,722,723,762,765,769,778,802,803,811,814,
828,1125,1128,1133,1148,1150,1152,1153,1158,1169,1172,1173,1174,1185,1186,1189
,1193,1196,1201,1204,1206,1209,1211,1217,1218,1220,1224,1228,1233,1234,1239,
1241,1250,1253,1255,1258,1260,1264,1265,1268,1270,1273,1281,1286,1391,1394,
1436,1447,1448,1458,1462,1957,1959,1966,1973,1974,1980,1982,1986,1988,2001,
2002,2018,2024,2037,2038,2049,2050,2054,2056,2258,2684,2685,2702,2703,2704,
2705,2712,3289],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,28,
32,40,41,50,51,52,53,54,55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,
80,81,82,87,88,89,90,91,92,93,100,101,103,104,105,106,107,108,109,110,139,153,
155,160,162,168,173,174,179,180,190,199,201,206,218,219,221,227,228,229,230,
231,232,233,234,236,237,239,240,241,242,243,244,245,246,247,248,249,257,258,
260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,
279,280,281,282,283,284,285,286,287,288,289,290,331,332,336,337,338,339,340,
346,347,350,351,445,449,474,479,482,483,484,485,500,502,521,522,528,536,556,
557,559,560,569,576,586,593,597,607,613,619,665,667,668,688,689,690,694,695,
696,697,698,699,700,701,702,703,704,734,737,740,741,742,743,755,756,757,758,
759,760,761,762,763,764,765,766,767,769,772,773,774,784,785,786,787,788,799,
800,801,802,803,804,805,806,809,810,811,812,1039,1041,1047,1051,1069,1071,1072
,1078,1083,1089,1115,1117,1125,1126,1139,1156,1167,1168,1169,1202,1203,1225,
1243,1254,1413,1414,1417,1431,1432,1433,1456,1457,1458,1459,1460,1461,1467,
1468,1492,1840,1841,1851,1852,1855,1856,1857,1858,1874,1875,1876,1877,1888,
1889,1910,1913,1914,1934,1939,1948,1955,1970,2009,2274,2609,2610,2640,2647,
2650,2659,2660,2661,2670,2687,2688,3290],[1,2,3,4,6,9,10,11,12,13,14,15,16,17,
19,20,21,22,23,24,25,29,31,33,35,42,44,45,50,51,52,53,54,55,56,57,62,63,64,65,
67,68,69,70,71,73,74,75,76,77,79,80,81,82,87,88,89,90,91,92,93,100,101,103,104
,105,106,107,108,109,110,140,156,159,163,165,166,172,177,178,182,183,184,185,
186,187,188,189,195,200,204,208,209,218,219,221,227,228,229,230,231,232,233,
234,236,237,239,240,241,242,243,244,245,246,247,248,249,257,258,260,261,262,
263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,
282,283,284,285,286,287,288,289,290,331,332,336,337,338,339,340,346,347,350,
351,446,448,452,453,480,481,486,487,488,489,497,498,501,504,505,526,527,547,
548,549,550,551,552,553,554,555,561,562,574,575,581,582,590,591,592,595,602,
603,604,609,617,623,665,667,668,688,689,690,694,695,696,697,698,699,700,701,
702,703,704,734,737,740,741,742,743,755,756,757,758,759,760,761,762,763,764,
765,766,767,769,772,773,774,784,785,786,787,788,799,800,801,802,803,804,805,
806,809,810,811,812,1040,1048,1049,1050,1053,1070,1073,1074,1075,1076,1077,
1079,1080,1081,1082,1085,1086,1116,1118,1134,1135,1140,1144,1160,1161,1162,
1163,1164,1165,1166,1181,1215,1216,1227,1245,1256,1413,1414,1417,1431,1432,
1433,1456,1457,1458,1459,1460,1461,1467,1468,1492,1842,1843,1853,1854,1859,
1860,1861,1862,1863,1864,1873,1878,1879,1880,1881,1882,1883,1884,1885,1886,
1887,1911,1912,1915,1916,1917,1935,1936,1937,1938,1947,1952,1953,1954,1972,
2011,2274,2611,2612,2641,2648,2651,2652,2653,2654,2655,2656,2657,2658,2671,
2692,2693,3291],[1,2,3,4,5,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,28,30,
32,40,41,49,51,54,55,56,57,62,65,69,70,71,74,76,77,78,79,80,81,82,86,87,88,89,
92,96,100,102,106,107,108,109,110,113,116,155,157,158,160,161,162,168,169,170,
171,173,174,175,176,179,180,181,190,201,202,205,206,207,219,231,234,239,240,
242,243,248,254,255,257,259,260,261,263,269,272,278,279,280,284,287,288,290,
303,316,338,339,346,351,352,358,362,476,477,478,482,485,491,492,494,495,520,
521,524,525,531,532,533,534,535,536,537,545,546,556,557,560,571,572,573,576,
577,578,579,584,585,589,593,597,598,599,600,611,614,615,616,618,621,622,626,
671,689,693,696,704,718,719,721,762,765,769,778,802,803,811,813,821,1125,1128,
1133,1148,1150,1152,1153,1169,1172,1173,1174,1185,1186,1189,1190,1193,1201,
1205,1206,1209,1211,1217,1218,1220,1224,1226,1234,1239,1241,1253,1258,1264,
1265,1271,1272,1279,1287,1389,1392,1435,1448,1449,1458,1463,1907,1969,1982,
1986,1988,1989,1990,1991,1992,2001,2002,2018,2024,2040,2049,2050,2057,2259,
2627,2628,2674,2675,2676,2702,2713,3292],[1,2,3,4,5,10,11,12,13,14,15,16,17,19
,20,21,22,23,24,25,28,30,32,40,41,49,51,53,54,55,56,57,62,63,64,65,66,67,68,69
,70,71,74,76,77,78,80,81,82,85,86,87,88,89,90,91,92,93,96,99,100,101,102,103,
104,105,108,109,110,113,114,116,155,157,158,160,161,162,169,170,171,173,174,
175,176,179,180,181,190,199,201,202,205,206,207,220,228,230,233,257,259,260,
261,264,265,266,267,270,271,273,274,276,277,278,280,282,285,288,289,290,300,
301,302,303,304,305,316,326,327,328,329,330,336,340,343,344,346,350,352,356,
357,358,361,362,363,475,478,479,483,485,490,491,492,493,494,495,520,521,524,
525,530,531,533,534,535,538,539,540,541,542,543,544,545,546,556,559,560,571,
572,573,576,577,578,579,583,584,585,586,587,588,594,599,600,601,605,606,607,
608,611,612,613,614,618,621,622,624,625,626,671,684,685,686,740,755,756,758,
766,768,769,772,773,774,778,783,813,814,815,816,821,828,829,835,837,844,1121,
1122,1129,1132,1136,1147,1149,1153,1154,1157,1158,1159,1167,1170,1171,1174,
1176,1177,1179,1180,1191,1194,1196,1197,1198,1200,1203,1204,1205,1207,1214,
1217,1218,1220,1224,1226,1234,1236,1240,1244,1246,1247,1249,1251,1255,1267,
1268,1269,1270,1271,1272,1273,1274,1279,1280,1281,1283,1284,1285,1286,1287,
1288,1289,1408,1413,1435,1436,1437,1471,1493,1503,1907,1966,1967,1968,1969,
1973,1993,1994,1998,2003,2010,2012,2014,2015,2016,2017,2018,2032,2037,2038,
2039,2040,2048,2057,2058,2059,2060,2061,2066,2071,2072,2073,2074,2282,2626,
2676,2706,2707,2711,2712,2714,2720,2723,2728,2729,3293],[1,2,3,4,5,9,10,11,12,
13,16,19,20,21,22,23,24,25,30,40,41,50,51,57,65,66,68,71,73,74,75,76,77,79,82,
85,86,87,88,91,92,99,100,101,103,107,108,113,114,116,153,155,157,158,160,161,
162,175,181,201,202,205,206,207,218,219,221,236,237,239,240,241,249,254,257,
258,260,261,262,263,264,268,280,281,282,300,304,328,329,331,332,346,347,352,
361,363,476,490,491,495,521,522,523,524,525,542,544,569,570,571,572,576,577,
578,579,594,601,612,614,616,618,619,620,621,624,625,684,688,689,690,691,697,
718,719,720,722,742,743,769,778,799,800,809,814,828,1066,1067,1068,1137,1138,
1158,1185,1187,1190,1196,1199,1204,1217,1218,1219,1220,1221,1222,1223,1224,
1225,1228,1229,1230,1231,1232,1234,1235,1268,1270,1273,1281,1286,1390,1394,
1436,1446,1449,1456,1463,1920,1921,1923,1924,1925,1926,1927,1966,1973,1990,
1991,2018,2022,2023,2026,2037,2038,2053,2054,2257,2679,2680,2694,2695,2710,
2712,2713,3294],[1,2,3,4,5,10,11,12,13,14,15,16,17,19,21,23,24,25,28,30,32,40,
41,51,55,57,62,63,64,65,67,68,69,70,77,79,82,87,89,90,91,92,100,102,103,104,
105,106,107,110,113,114,116,155,157,158,160,162,168,169,170,171,173,175,176,
179,180,181,201,202,205,207,219,227,228,233,238,239,240,246,249,254,255,257,
263,264,265,266,268,271,273,274,279,284,336,337,343,352,356,357,476,482,490,
491,492,494,521,523,524,533,536,537,538,539,540,541,543,544,545,546,556,557,
571,577,578,585,587,588,589,594,598,605,606,612,614,616,618,620,622,625,626,
665,689,697,698,699,716,719,724,756,759,778,783,785,787,796,835,1066,1122,1123
,1124,1125,1129,1148,1172,1176,1178,1179,1180,1185,1187,1190,1196,1197,1199,
1206,1217,1219,1228,1229,1233,1236,1237,1244,1247,1250,1260,1262,1264,1265,
1270,1272,1283,1284,1431,1447,1449,1471,1487,1870,1923,1927,1957,1960,1963,
1965,1969,1973,1974,1979,1987,1988,1991,1993,1997,2055,2061,2066,2267,2668,
2675,2680,2697,2701,2703,2707,3295],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,19,21
,22,23,24,25,28,30,32,40,41,50,51,52,54,55,57,62,63,64,65,67,68,69,70,73,74,75
,76,77,79,80,81,82,89,90,91,100,101,103,104,105,106,107,108,109,110,116,153,
155,157,160,162,169,170,171,173,174,175,176,180,181,201,202,205,206,207,218,
228,229,232,233,234,236,237,239,242,243,244,245,246,247,257,258,264,265,266,
273,274,281,283,284,285,286,287,290,336,337,340,352,356,357,476,478,484,485,
490,492,521,522,524,528,529,531,532,533,538,539,540,543,544,545,546,556,569,
576,577,584,585,587,588,589,593,600,606,607,612,615,616,618,619,620,625,626,
667,688,694,695,696,700,701,718,722,756,767,778,783,784,785,788,835,1067,1122,
1127,1128,1129,1130,1146,1152,1154,1168,1179,1180,1185,1186,1188,1196,1197,
1209,1213,1217,1225,1228,1231,1232,1236,1237,1242,1247,1252,1258,1259,1261,
1262,1270,1272,1283,1284,1432,1446,1448,1471,1488,1871,1925,1928,1959,1960,
1961,1962,1969,1973,1975,1978,1982,1984,1990,1993,2008,2054,2061,2066,2268,
2667,2674,2679,2698,2700,2704,2707,3296],[1,2,4,5,9,10,11,12,13,19,20,22,23,24
,40,41,49,50,51,57,65,71,73,74,75,76,77,78,82,87,88,96,100,101,102,107,108,116
,153,155,157,158,160,161,162,205,206,207,218,219,221,236,237,238,239,240,241,
257,258,259,260,261,262,263,280,281,282,316,331,332,346,347,352,358,362,520,
521,522,523,524,525,569,570,571,572,573,576,577,578,579,611,618,619,620,621,
622,626,671,687,688,689,690,716,717,718,742,743,769,778,799,800,809,813,821,
1066,1067,1068,1137,1138,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,
1228,1229,1230,1231,1232,1233,1234,1235,1271,1272,1279,1287,1388,1389,1435,
1446,1447,1456,1462,1907,1920,1921,1922,1923,1924,1925,1957,1958,1959,1969,
2018,2022,2023,2026,2040,2057,2256,2615,2616,2676,2700,2701,2705,2710,3297],[1
,2,3,4,5,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,28,32,40,41,50,51,
52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,
81,87,90,91,92,94,95,100,101,103,104,105,106,107,108,109,110,111,112,139,157,
160,162,168,173,174,179,180,190,199,201,206,222,223,225,226,228,229,230,232,
233,236,237,239,240,241,242,243,244,245,246,247,248,249,250,251,253,258,261,
262,263,264,266,268,269,270,271,272,275,278,279,280,281,282,283,284,285,286,
287,288,289,290,291,292,293,294,295,297,298,331,332,334,336,337,338,339,340,
346,347,349,350,351,445,449,482,483,494,500,502,524,557,559,586,593,597,607,
613,616,619,669,700,701,708,709,710,711,734,737,739,740,741,750,751,758,759,
760,766,767,775,776,777,784,785,786,787,788,789,791,792,793,794,795,799,800,
801,802,803,804,805,806,809,810,811,812,1042,1047,1051,1069,1071,1072,1078,
1083,1089,1115,1117,1139,1192,1206,1207,1231,1243,1254,1263,1418,1425,1426,
1445,1467,1468,1473,1475,1477,1479,1491,1492,1498,1504,1505,1844,1856,1857,
1865,1877,1888,1910,1913,1914,1934,1939,1970,1971,2036,2289,2637,2642,2647,
2670,2678,2689,2690,3298],[1,2,3,4,7,11,12,13,14,15,16,17,18,19,20,21,24,25,36
,39,47,53,54,56,58,59,60,61,63,64,66,67,68,69,70,71,72,78,82,83,84,85,86,88,89
,90,91,93,94,95,96,97,98,99,100,102,103,104,105,111,112,113,114,115,116,117,
150,167,196,198,223,226,230,235,260,266,267,273,274,276,277,291,292,293,294,
295,296,297,298,299,301,302,304,305,306,307,308,309,310,311,312,313,314,315,
316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,335,336,342,343,
344,345,348,352,353,354,355,356,357,358,359,360,361,362,363,364,365,462,463,
465,466,515,516,517,563,672,673,678,679,680,681,682,683,686,738,746,748,749,
750,754,755,770,771,781,782,813,814,815,816,817,818,819,820,822,823,824,825,
829,830,831,833,835,836,837,838,843,844,1057,1106,1107,1108,1109,1110,1112,
1266,1411,1412,1440,1441,1442,1443,1470,1493,1494,1501,1502,1900,2062,2063,
2064,2065,2067,2068,2069,2284,2732,2733,2734,2735,2736,2737,2738,3299],[1,2,4,
13,24,26,27,100,116,130,132,134,136,352,415,418,429,627,986,1290,1291,2077,
2079,2080,2743,2745,3300],[1,2,4,13,22,23,24,26,27,100,108,130,132,134,136,346
,414,415,416,418,429,436,438,627,986,997,1011,1290,1291,1782,2077,2079,2080,
2082,2083,2743,2749,3301],[1,2,3,4,13,21,24,25,26,27,85,91,99,100,114,130,132,
133,134,136,137,328,415,418,419,429,434,627,986,998,1290,1291,1292,2077,2078,
2079,2080,2081,2743,2744,2746,2747,2748,3302],[1,2,5,9,26,28,48,130,139,214,
442,643,847,1037,1343,1511,1799,3303],[1,2,6,10,26,29,48,130,140,214,443,644,
847,1036,1344,1511,1800,3304],[1,2,6,23,26,44,48,130,209,214,216,416,439,649,
651,847,1033,1364,1511,1807,2084,2293,2750,3305],[1,2,4,5,6,8,9,10,12,13,19,20
,28,29,32,35,40,41,43,44,50,65,71,118,120,121,153,154,156,160,162,168,173,174,
179,180,188,189,190,221,366,369,381,383,386,390,405,407,408,522,528,551,557,
559,560,629,876,880,881,895,911,913,914,918,919,938,942,944,945,1126,1293,1294
,1296,1552,1626,1627,1628,1669,1673,2085,2086,2088,2092,2120,2121,2354,2765,
2766,2777,3306],[1,2,3,4,5,6,8,9,12,13,15,16,17,21,28,29,30,31,32,33,34,35,37,
40,41,42,43,44,45,50,52,55,68,70,118,120,121,153,154,156,160,162,165,166,170,
172,173,174,175,176,181,182,183,184,185,186,187,188,189,191,193,232,366,367,
369,372,380,381,382,383,384,385,386,390,391,392,405,407,408,522,526,528,529,
532,544,546,549,551,552,553,554,555,558,629,877,878,879,883,886,887,888,894,
905,911,913,914,918,919,921,922,933,934,938,939,940,941,942,943,944,945,1127,
1134,1293,1294,1295,1296,1300,1552,1553,1620,1630,1632,1633,1636,1637,1638,
1668,1669,1670,1671,1673,2085,2087,2090,2091,2095,2120,2121,2122,2123,2355,
2356,2767,2768,2769,2777,2778,3307],[1,2,4,5,6,8,9,11,12,13,40,41,44,50,57,118
,120,121,139,141,144,145,148,153,156,157,160,162,218,405,500,507,522,524,629,
857,866,867,868,873,911,1039,1045,1058,1059,1067,1642,2103,2294,2300,2301,2307
,2350,3308],[1,2,4,5,6,7,8,9,10,12,13,19,20,40,41,43,44,50,65,71,118,121,124,
125,126,139,140,141,142,143,145,146,147,151,153,154,155,156,158,159,160,161,
162,221,405,408,500,505,506,507,522,523,525,631,857,860,861,862,863,865,866,
869,870,871,874,914,915,1040,1041,1044,1046,1060,1063,1068,1642,1643,2105,2109
,2295,2297,2298,2299,2308,2309,2351,3309],[1,2,4,5,6,8,9,12,13,22,23,28,29,32,
35,40,41,43,44,50,107,108,118,120,121,153,154,156,160,162,173,174,188,189,205,
206,331,366,369,381,383,386,390,405,407,408,522,528,551,620,621,629,848,849,
911,913,914,918,919,938,942,944,945,1137,1293,1294,1296,1552,1606,1607,1669,
1673,2085,2097,2098,2120,2121,2304,2777,2820,2821,3310],[1,2,4,5,6,8,9,10,12,
13,22,28,29,32,35,40,44,50,51,73,74,101,118,120,121,139,141,145,153,155,156,
168,173,174,188,189,199,206,258,366,369,381,386,405,445,447,474,479,500,528,
536,551,569,586,597,629,857,866,867,868,876,884,911,918,919,930,955,1069,1156,
1294,1512,1552,1562,1577,1584,1592,1613,1617,1648,1658,2086,2103,2311,2370,
2770,2783,3311],[1,2,4,5,6,8,9,12,13,19,20,23,28,29,31,32,34,35,40,42,44,50,71
,75,87,107,118,120,121,139,141,145,153,156,163,172,173,174,177,178,188,189,200
,209,262,366,367,369,380,381,384,385,386,405,449,455,480,481,500,528,551,562,
575,592,604,629,857,866,867,868,877,882,883,911,918,919,929,954,1083,1160,1294
,1295,1514,1552,1567,1568,1584,1592,1614,1618,1653,1659,2087,2103,2329,2369,
2770,2782,3312],[1,2,3,4,5,6,7,8,9,10,15,16,19,22,23,28,29,30,31,32,33,34,37,
40,41,43,44,52,62,73,75,79,80,109,118,121,124,125,126,139,141,142,145,153,154,
156,158,159,168,169,170,175,177,179,182,184,191,193,199,200,205,208,283,366,
367,372,383,387,388,393,402,408,445,447,449,455,474,475,480,486,502,529,537,
547,552,558,570,574,583,590,598,602,631,857,860,861,862,863,866,880,885,891,
914,921,922,931,937,951,953,1071,1145,1161,1297,1303,1512,1514,1553,1563,1566,
1575,1578,1585,1588,1599,1615,1619,1649,1650,1660,1664,2093,2105,2313,2322,
2371,2773,2779,2780,3313],[1,2,4,5,6,7,8,10,12,13,19,20,22,28,29,31,32,34,35,
40,41,44,65,71,74,76,101,118,121,124,125,126,140,143,146,155,159,162,173,174,
177,179,180,189,190,195,199,206,282,366,367,369,383,387,388,393,402,405,448,
454,479,483,505,556,560,561,576,586,607,631,865,869,870,871,880,891,895,915,
918,924,942,955,1081,1167,1297,1303,1513,1554,1570,1571,1593,1595,1613,1626,
1654,1665,2093,2109,2331,2373,2775,2784,3314],[1,2,3,4,5,6,7,8,10,13,16,19,21,
23,28,29,32,33,35,36,40,44,45,65,68,79,92,107,118,121,124,125,126,140,143,146,
155,159,166,173,180,182,183,185,189,195,200,209,268,366,369,370,382,387,393,
394,398,405,453,461,486,487,505,554,556,561,582,592,603,631,865,869,870,871,
878,894,897,915,918,924,943,954,1085,1163,1297,1302,1517,1554,1581,1582,1593,
1595,1614,1632,1655,1666,2094,2109,2326,2374,2775,2785,3315],[1,2,3,4,5,7,8,9,
15,16,17,19,20,23,32,34,37,38,39,41,43,46,52,56,75,92,106,119,125,127,139,142,
154,164,190,191,192,193,194,197,203,210,275,368,371,376,401,402,403,404,406,
449,467,496,499,502,558,564,580,596,610,633,860,872,902,907,910,912,917,920,
948,956,1089,1182,1298,1299,1519,1551,1572,1583,1599,1616,1635,1657,1667,2096,
2102,2338,2375,2771,2786,3316],[1,2,4,5,6,8,9,12,13,22,23,28,29,32,35,40,44,50
,107,108,118,120,121,139,141,145,153,156,173,174,188,189,206,331,366,369,381,
386,405,500,528,551,629,848,849,857,866,867,868,911,918,919,1139,1294,1552,
1584,1592,1606,1607,2097,2103,2304,2770,3317],[1,2,4,5,6,7,8,9,12,13,22,23,28,
29,32,35,40,44,50,107,108,118,121,124,125,126,141,142,145,153,156,173,174,188,
189,208,331,366,369,387,393,405,507,528,551,631,848,849,861,862,864,867,911,
918,919,1142,1297,1552,1601,1602,1606,1607,2099,2106,2304,2772,3318],[1,2,4,5,
6,7,8,10,13,19,22,23,28,29,32,35,40,44,65,108,110,118,121,124,125,126,140,143,
146,155,159,173,180,189,195,208,339,366,369,387,393,405,505,556,561,631,848,
849,865,869,870,871,915,918,924,1144,1297,1554,1593,1595,1607,1609,2099,2109,
2305,2775,3319],[1,2,3,4,5,7,8,9,15,16,24,25,34,37,41,43,52,105,111,119,125,
127,139,142,154,191,193,207,333,368,371,402,406,502,558,633,850,851,860,872,
912,917,920,1141,1298,1551,1599,1610,1611,2100,2102,2306,2771,3320],[1,2,4,5,6
,8,10,13,19,28,29,32,35,38,40,41,43,44,51,65,118,120,121,155,159,160,168,173,
179,180,189,194,195,219,366,369,378,379,381,383,386,387,390,405,407,408,521,
536,556,557,561,629,876,880,881,884,903,906,915,918,924,925,926,930,937,938,
945,1125,1293,1294,1296,1305,1317,1554,1617,1628,1629,1634,1672,2086,2092,2110
,2116,2120,2127,2128,2136,2141,2352,2765,2787,2791,2816,2822,3321],[1,2,3,4,5,
6,8,10,12,13,15,16,17,19,20,28,29,30,31,32,33,34,35,37,38,40,41,42,43,44,45,46
,55,56,62,65,71,118,120,121,155,158,159,160,161,162,163,164,165,168,169,170,
172,173,174,175,176,177,178,179,180,184,185,186,187,189,190,191,192,194,195,
197,231,366,367,369,372,378,379,380,381,382,383,384,385,386,387,388,389,390,
391,392,405,407,408,409,525,527,532,533,534,535,537,547,548,549,550,556,557,
560,561,562,564,629,877,878,879,881,882,883,884,885,886,887,888,889,890,891,
892,893,903,906,915,916,918,922,923,924,925,926,927,929,930,931,932,933,934,
935,936,937,938,939,945,946,947,1133,1135,1293,1294,1295,1296,1300,1305,1317,
1318,1554,1555,1618,1619,1620,1621,1622,1623,1624,1625,1629,1630,1631,1634,
1639,1674,1675,1676,2087,2090,2091,2110,2116,2117,2120,2123,2127,2128,2129,
2130,2137,2138,2139,2140,2353,2357,2767,2788,2789,2790,2816,2817,2823,2824,
3322],[1,2,4,5,6,8,10,13,19,22,23,28,29,32,35,40,41,43,44,65,101,108,118,120,
121,160,168,173,179,180,189,199,201,203,204,206,208,332,366,369,381,383,386,
390,405,407,408,557,586,593,595,613,619,629,876,880,881,918,938,945,953,955,
958,959,960,961,1243,1293,1294,1296,1613,1628,1680,1699,1704,1705,2086,2092,
2101,2118,2120,2436,2765,2795,2808,3323],[1,2,3,4,5,6,8,12,13,15,16,17,22,23,
28,29,30,31,32,33,34,35,37,40,41,42,43,44,45,55,106,107,108,109,118,120,121,
160,165,170,172,173,174,175,176,184,185,186,187,189,191,199,200,201,203,204,
205,206,208,209,210,338,366,367,369,372,380,381,382,383,384,385,386,390,391,
392,405,407,408,532,549,583,589,590,591,592,593,595,596,613,617,620,623,629,
877,878,879,883,886,887,888,918,922,933,934,938,939,945,951,952,953,954,955,
958,959,960,961,962,1238,1245,1293,1294,1295,1296,1300,1614,1615,1620,1630,
1680,1681,1700,1701,1702,1703,1704,1705,1706,1707,2087,2090,2091,2101,2118,
2119,2120,2123,2435,2437,2767,2795,2796,2806,2807,3324],[1,2,3,4,5,6,8,12,13,
16,19,20,21,22,23,28,29,30,31,32,33,35,37,40,41,42,43,44,45,46,68,71,80,92,108
,118,120,121,158,160,161,162,163,164,166,172,173,175,177,178,181,182,183,185,
189,193,199,201,203,204,206,208,270,366,369,372,380,381,382,383,386,388,389,
390,391,392,405,407,408,409,475,488,489,491,499,525,544,554,562,581,593,595,
602,613,629,877,878,882,887,894,905,916,918,921,929,931,932,936,938,940,941,
943,945,946,953,955,958,959,960,961,1165,1198,1293,1294,1296,1300,1318,1618,
1632,1637,1649,1662,1675,1680,1688,1692,1693,1694,1704,1705,1709,2090,2095,
2101,2117,2118,2120,2122,2137,2139,2432,2450,2768,2795,2823,2826,2853,3325],[1
,2,3,4,5,6,8,10,12,15,16,17,19,21,23,28,30,31,32,33,34,35,37,40,41,42,43,44,45
,46,62,70,77,79,87,92,106,118,120,121,155,158,159,162,163,164,165,166,168,169,
170,174,175,176,177,179,181,182,183,184,186,187,188,191,193,200,201,203,204,
205,209,210,279,367,369,372,380,381,382,383,384,385,387,388,389,390,391,392,
405,407,408,409,481,482,485,486,488,489,491,498,499,527,537,546,547,553,555,
578,582,589,591,596,598,604,617,629,879,885,886,888,891,894,905,915,916,919,
921,922,929,930,931,932,933,934,935,937,939,940,941,942,943,944,947,951,952,
954,958,959,960,962,1162,1172,1216,1293,1295,1296,1300,1317,1318,1619,1633,
1636,1638,1650,1653,1663,1666,1674,1676,1681,1684,1688,1690,1691,1692,1693,
1694,1703,1706,1707,1710,1711,2091,2095,2101,2116,2117,2119,2121,2122,2123,
2138,2140,2434,2448,2452,2769,2796,2824,2825,2826,2854,2855,3326],[1,2,4,5,6,8
,10,12,13,19,20,22,23,28,29,32,35,40,41,43,44,51,71,74,77,108,118,120,121,155,
159,160,162,168,173,174,179,180,188,189,190,199,201,203,204,206,208,280,366,
369,381,383,386,387,390,405,407,408,479,482,485,498,521,536,559,560,576,593,
595,597,613,629,876,880,881,884,895,915,918,919,930,937,938,942,944,945,953,
955,958,959,960,961,1169,1203,1293,1294,1296,1317,1617,1626,1627,1648,1665,
1672,1680,1684,1690,1691,1704,1705,1708,2088,2092,2101,2116,2118,2120,2121,
2136,2141,2433,2447,2766,2795,2822,2825,2856,3327],[1,2,4,5,6,8,9,12,13,23,25,
28,29,32,35,40,44,50,103,110,118,120,121,139,141,145,153,156,173,174,188,189,
201,247,366,369,381,386,405,500,528,551,629,849,852,857,866,867,868,911,918,
919,1117,1294,1552,1584,1592,1608,1609,2103,2147,2439,2770,3328],[1,2,4,5,6,7,
8,10,13,19,23,25,28,29,32,35,40,44,65,103,107,118,121,124,125,126,140,143,146,
155,159,173,180,189,195,204,249,366,369,387,393,405,505,556,561,631,849,852,
865,869,870,871,915,918,924,1118,1297,1554,1593,1595,1606,1608,2109,2149,2438,
2775,3329],[1,2,4,5,6,7,8,9,12,13,23,25,28,29,32,35,40,44,50,103,110,118,121,
124,125,126,141,142,145,153,156,173,174,188,189,204,247,366,369,387,393,405,
507,528,551,631,849,852,861,862,864,867,911,918,919,1119,1297,1552,1601,1602,
1608,1609,2106,2149,2439,2772,3330],[1,2,4,5,6,8,13,22,23,25,28,29,32,35,40,41
,43,44,103,108,118,120,121,160,173,189,199,201,202,203,204,205,206,208,350,366
,369,381,383,386,390,405,407,408,593,595,612,613,621,629,848,849,852,918,938,
945,953,955,958,959,960,961,1194,1293,1294,1296,1607,1608,1680,1704,1705,2097,
2098,2101,2118,2120,2148,2428,2795,2810,2820,3331],[1,2,4,5,6,8,13,22,23,28,29
,32,35,40,41,43,44,107,108,110,118,120,121,160,173,189,199,201,203,204,205,206
,208,351,366,369,381,383,386,390,405,407,408,593,595,613,615,620,629,849,918,
938,945,953,955,958,959,960,961,1195,1293,1294,1296,1606,1609,1680,1704,1705,
2098,2101,2118,2120,2147,2429,2795,2809,2821,3332],[1,2,4,5,6,8,9,10,12,13,22,
28,29,32,35,40,41,43,44,50,51,73,74,101,118,120,121,153,154,155,156,159,160,
162,168,173,174,188,189,199,206,208,258,366,369,381,383,386,387,390,405,407,
408,474,479,521,522,528,536,551,569,574,576,586,597,619,629,876,884,911,913,
914,915,918,919,930,937,938,942,944,945,953,955,961,1156,1225,1293,1294,1296,
1317,1552,1613,1617,1648,1658,1664,1665,1669,1672,1673,1678,1699,1708,2085,
2116,2118,2120,2121,2136,2141,2370,2465,2777,2797,2808,2822,2856,3333],[1,2,4,
5,6,8,9,12,13,19,20,23,28,29,31,32,35,40,41,42,43,44,46,50,71,75,87,107,118,
120,121,153,154,156,158,160,161,162,163,164,172,173,174,177,178,188,189,200,
205,209,210,262,366,369,380,381,383,386,388,389,390,405,407,408,409,480,481,
522,525,528,551,562,570,575,578,580,592,604,620,629,877,882,911,913,914,916,
918,919,929,931,932,936,938,942,944,945,946,951,952,954,962,1160,1221,1293,
1294,1296,1318,1552,1614,1618,1653,1659,1660,1661,1663,1669,1673,1675,1679,
1701,1710,2085,2117,2119,2120,2121,2137,2139,2369,2464,2777,2798,2806,2823,
2855,3334],[1,2,3,4,5,6,8,9,10,15,16,19,22,23,28,30,31,32,33,34,37,40,41,42,43
,44,45,46,52,62,73,75,79,80,109,118,120,121,153,154,155,156,158,159,163,164,
165,166,168,169,170,175,177,179,182,184,191,193,199,200,205,206,208,209,210,
283,367,372,380,381,382,384,385,387,388,389,391,392,405,407,408,409,474,475,
480,486,526,527,529,537,547,552,558,569,570,574,575,580,581,582,583,590,598,
602,623,629,885,891,911,913,914,915,916,921,922,929,930,931,932,933,934,935,
937,939,940,941,943,947,951,952,953,954,955,961,962,1145,1161,1227,1293,1295,
1300,1317,1318,1553,1615,1619,1649,1650,1658,1659,1660,1661,1662,1664,1666,
1668,1670,1671,1674,1676,1678,1679,1700,1702,1709,1711,2085,2116,2117,2118,
2119,2122,2123,2138,2140,2371,2462,2463,2778,2797,2798,2807,2824,2853,2854,
3335],[1,2,4,5,6,8,9,10,12,13,19,22,23,28,29,32,35,38,40,44,50,65,73,75,76,77,
108,118,120,121,139,141,145,153,155,156,159,173,174,180,188,189,195,201,204,
206,208,281,366,369,378,379,381,386,387,405,445,449,457,471,484,485,497,498,
500,528,551,556,561,569,574,593,595,607,609,629,857,866,867,868,884,906,911,
915,918,919,924,958,961,1078,1168,1181,1294,1305,1317,1515,1526,1527,1528,1552
,1554,1562,1566,1584,1592,1678,1680,1682,1684,1685,2103,2128,2330,2345,2430,
2770,2799,2811,3336],[1,2,4,5,6,7,8,9,10,12,13,19,22,23,28,29,32,35,38,39,40,
44,50,65,73,75,76,77,108,118,121,124,125,126,140,143,146,153,155,156,159,173,
174,180,188,189,195,201,204,206,208,281,366,369,375,376,377,379,386,387,393,
405,446,452,464,470,484,485,497,498,505,528,551,556,561,569,574,593,595,607,
609,631,865,869,870,871,904,906,911,915,918,919,924,958,961,1080,1168,1181,
1297,1307,1319,1518,1529,1530,1531,1552,1554,1564,1569,1593,1595,1678,1680,
1682,1684,1685,2109,2131,2332,2347,2430,2775,2800,2812,3337],[1,2,4,5,6,7,8,9,
10,12,13,19,22,23,28,29,32,35,38,39,40,44,50,65,73,75,76,77,108,118,121,124,
125,126,141,142,145,153,155,156,159,173,174,180,188,189,195,201,204,206,208,
281,366,369,375,376,377,379,386,387,393,405,447,457,467,471,484,485,497,498,
507,528,551,556,561,569,574,593,595,607,609,631,861,862,864,867,904,906,911,
915,918,919,924,958,961,1098,1168,1181,1297,1307,1319,1522,1523,1524,1527,1552
,1554,1577,1578,1601,1602,1678,1680,1682,1684,1685,2106,2131,2346,2349,2430,
2772,2802,2813,3338],[1,2,3,4,5,6,7,8,9,15,16,17,19,20,23,30,31,32,33,34,35,37
,38,39,40,41,42,43,44,46,52,56,75,92,106,118,121,124,125,126,139,141,142,145,
153,154,156,158,163,164,170,175,176,178,180,182,184,187,190,191,192,193,194,
195,197,201,203,204,205,209,210,275,367,369,372,375,376,377,379,383,384,388,
401,402,408,409,449,457,467,471,484,488,491,496,497,499,502,529,535,550,552,
558,564,570,575,580,589,591,596,603,605,610,631,857,860,861,862,863,866,892,
895,910,914,916,921,922,923,926,927,960,962,1089,1166,1175,1182,1303,1307,1320
,1515,1519,1522,1523,1525,1526,1553,1555,1563,1567,1572,1585,1588,1599,1679,
1681,1683,1687,1688,2105,2134,2323,2334,2338,2431,2773,2803,2814,3339],[1,2,3,
4,5,6,7,8,9,15,16,17,19,20,23,30,31,32,33,34,35,37,38,39,40,41,42,43,44,46,52,
56,75,92,106,120,121,122,123,125,126,141,142,145,153,154,156,158,163,164,170,
175,176,178,180,182,184,187,190,191,192,193,194,195,197,201,203,204,205,209,
210,275,367,372,373,374,376,377,378,379,385,389,399,400,401,402,408,409,455,
457,467,471,484,488,491,496,497,499,511,529,535,550,552,558,564,570,575,580,
589,591,596,603,605,610,632,858,859,862,863,864,867,868,893,908,909,910,914,
916,921,922,923,926,927,960,962,1087,1166,1175,1182,1304,1308,1321,1520,1521,
1523,1524,1525,1527,1528,1553,1555,1568,1573,1574,1575,1589,1596,1597,1598,
1679,1681,1683,1687,1688,2108,2135,2324,2339,2340,2341,2431,2774,2805,2815,
3340],[1,2,4,5,6,8,9,12,13,23,25,28,29,32,35,40,41,43,44,50,103,110,118,120,
121,153,154,156,160,162,173,174,188,189,201,202,247,366,369,381,383,386,390,
405,407,408,522,528,551,612,615,629,849,852,911,913,914,918,919,938,942,944,
945,1188,1293,1294,1296,1552,1608,1609,1669,1673,2085,2120,2121,2147,2148,2439
,2777,2809,2810,3341],[1,2,4,5,6,8,12,13,19,20,25,28,29,31,32,35,40,41,42,43,
44,46,71,93,103,118,120,121,158,160,161,162,163,164,172,173,174,177,178,179,
180,188,189,190,202,267,366,369,380,381,383,386,388,389,390,405,407,408,409,
493,525,559,560,562,612,629,852,877,880,881,882,895,916,918,919,929,931,932,
936,938,942,944,945,946,1200,1293,1294,1296,1318,1542,1608,1618,1626,1627,1675
,2088,2092,2117,2120,2121,2137,2139,2148,2378,2766,2810,2823,2837,3342],[1,2,3
,4,5,6,8,10,13,16,21,25,28,29,30,32,33,35,37,40,41,43,44,45,51,68,91,103,118,
120,121,155,159,160,166,168,173,175,181,182,183,185,189,193,202,264,366,369,
372,381,382,383,386,387,390,391,392,405,407,408,490,521,536,544,554,612,629,
852,876,878,884,887,894,905,915,918,921,930,937,938,940,941,943,945,1196,1293,
1294,1296,1300,1317,1541,1608,1617,1632,1637,1672,2090,2095,2116,2120,2122,
2136,2141,2148,2379,2768,2810,2822,2836,3343],[1,2,4,5,6,8,10,12,13,19,20,23,
28,29,31,32,35,40,41,42,43,44,46,65,71,77,81,110,118,120,121,158,160,161,162,
163,164,168,172,173,177,178,179,180,189,201,288,366,369,380,381,383,386,388,
389,390,405,407,408,409,478,482,525,557,562,615,629,849,876,877,880,881,882,
916,918,929,931,932,936,938,945,946,1211,1293,1294,1296,1318,1537,1539,1609,
1618,1628,1675,2086,2092,2117,2120,2137,2139,2147,2383,2765,2809,2823,2833,
2835,3344],[1,2,3,4,5,6,8,10,12,13,15,16,17,23,28,29,30,31,32,33,34,35,37,40,
41,42,43,44,45,51,55,77,79,110,118,120,121,155,159,160,165,168,170,172,173,174
,175,176,184,185,186,187,189,191,201,284,366,367,369,372,380,381,382,383,384,
385,386,387,390,391,392,405,407,408,476,485,521,532,536,549,615,629,849,876,
877,878,879,883,884,886,887,888,915,918,922,930,933,934,937,938,939,945,1209,
1293,1294,1295,1296,1300,1317,1538,1539,1609,1617,1620,1630,1672,2087,2090,
2091,2116,2120,2123,2136,2141,2147,2382,2767,2809,2822,2832,2834,3345],[1,2,3,
4,5,6,7,8,10,12,13,15,16,17,19,20,28,29,31,32,33,35,40,42,44,45,47,55,56,62,65
,71,118,121,124,125,126,140,143,146,155,159,163,165,166,172,173,177,178,180,
184,185,186,187,189,195,231,366,369,380,382,387,393,394,397,405,410,504,505,
514,527,547,548,549,550,556,561,562,631,865,869,870,871,877,878,879,882,915,
918,924,929,939,949,1053,1135,1297,1322,1554,1590,1591,1593,1595,1618,1630,
1631,1645,1674,2109,2144,2353,2422,2775,2848,3346],[1,2,4,5,6,8,9,10,12,13,19,
20,28,29,32,35,40,41,44,50,65,71,118,120,121,139,141,145,153,155,156,160,162,
168,173,174,179,180,188,189,190,221,366,369,381,383,386,387,405,500,507,522,
528,551,557,559,560,629,857,866,867,868,876,880,881,895,911,918,919,930,942,
945,1041,1126,1294,1317,1552,1584,1592,1602,1626,1627,1628,1642,1669,2103,2136
,2354,2418,2770,2845,3347],[1,2,3,4,5,6,8,9,12,13,15,16,17,21,28,29,31,32,33,
35,40,41,42,44,45,46,50,52,55,68,70,118,120,121,139,141,145,153,156,162,165,
166,172,173,174,182,183,184,185,186,187,188,189,232,366,369,380,381,382,386,
388,389,405,409,500,502,511,526,528,549,551,552,553,554,555,629,857,866,867,
868,877,878,879,894,911,918,919,939,943,946,1051,1134,1294,1318,1552,1584,1588
,1589,1592,1630,1632,1633,1646,1668,2103,2139,2355,2421,2770,2843,3348],[1,2,4
,5,6,7,8,10,13,19,28,29,32,35,40,41,42,44,46,51,65,118,121,124,125,126,140,143
,146,155,159,160,163,168,173,179,180,189,195,219,366,369,381,383,384,387,393,
401,405,409,501,505,508,521,536,556,557,561,631,865,869,870,871,876,880,881,
884,915,918,924,930,945,947,1050,1125,1297,1320,1554,1586,1593,1594,1595,1617,
1628,1629,1644,1672,2109,2142,2352,2420,2775,2844,3349],[1,2,3,4,5,6,7,8,9,12,
13,15,16,17,21,29,30,31,32,33,34,35,37,40,41,42,43,44,45,46,50,52,55,68,70,118
,121,124,125,126,139,141,142,145,153,154,156,160,162,165,166,170,172,174,175,
176,181,182,183,184,185,186,187,188,189,191,193,232,367,372,383,384,386,388,
390,391,393,401,402,405,408,409,500,502,507,511,522,526,529,532,544,546,549,
551,552,553,554,555,558,631,857,860,861,862,863,866,883,886,887,888,905,914,
921,922,933,938,940,942,944,946,1051,1127,1134,1303,1319,1320,1553,1585,1588,
1592,1596,1599,1601,1620,1636,1637,1638,1642,1646,1670,1673,2105,2143,2356,
2417,2421,2773,2846,2849,3350],[1,2,3,4,5,6,8,10,13,16,19,21,23,28,29,30,32,33
,35,37,38,40,41,43,44,45,65,68,79,92,107,118,120,121,155,159,160,166,168,173,
175,179,180,181,182,183,185,189,193,194,195,200,205,209,210,268,366,369,372,
378,379,381,382,383,386,387,390,391,392,405,407,408,486,487,544,554,556,557,
561,582,592,598,603,605,610,620,629,878,881,884,887,894,903,905,906,915,918,
921,924,925,926,930,937,938,940,941,943,945,951,952,954,962,1163,1250,1293,
1294,1296,1300,1305,1317,1554,1614,1629,1632,1634,1637,1650,1651,1652,1655,
1666,1683,1701,1711,2090,2095,2110,2116,2119,2120,2122,2127,2128,2374,2442,
2768,2806,2816,2819,2854,3351],[1,2,3,4,5,6,8,12,15,16,17,19,20,21,22,23,30,31
,32,33,34,35,37,38,40,41,42,43,44,45,46,56,70,76,80,87,92,109,118,120,121,158,
162,163,164,165,166,170,174,175,176,177,178,180,181,182,183,184,186,187,188,
190,191,192,193,194,195,197,199,200,205,206,208,209,210,278,367,369,372,378,
379,380,382,383,384,385,388,389,390,391,392,405,407,408,409,475,481,483,487,
535,546,548,550,553,555,564,578,581,583,590,602,603,604,605,607,609,610,623,
629,879,882,886,888,889,890,892,893,894,905,916,919,921,922,923,924,925,926,
927,929,931,932,933,934,939,940,941,942,943,944,951,952,953,954,955,961,962,
1164,1170,1256,1293,1295,1296,1300,1305,1318,1555,1615,1621,1623,1631,1633,
1636,1638,1649,1651,1652,1653,1654,1655,1656,1662,1663,1682,1683,1700,1702,
1709,1710,2091,2095,2110,2117,2118,2119,2121,2122,2123,2129,2130,2372,2443,
2445,2769,2807,2817,2818,2819,2853,2855,3352],[1,2,4,5,6,8,10,12,13,19,20,22,
28,29,32,35,38,40,41,43,44,65,71,74,76,101,118,120,121,155,159,160,162,168,173
,174,179,180,188,189,190,194,195,199,206,208,282,366,369,378,379,381,383,386,
387,390,405,407,408,479,483,556,557,559,560,561,576,586,597,607,609,619,629,
880,881,884,895,903,906,915,918,919,924,925,926,930,937,938,942,944,945,953,
955,961,1167,1254,1293,1294,1296,1305,1317,1554,1613,1626,1627,1629,1634,1648,
1654,1656,1665,1682,1699,1708,2088,2092,2110,2116,2118,2120,2121,2127,2128,
2373,2444,2766,2808,2816,2818,2856,3353],[1,2,3,4,5,6,8,13,16,21,22,23,28,29,
30,32,33,35,37,40,41,43,44,45,68,101,110,118,120,121,160,166,173,175,181,182,
183,185,189,193,199,201,206,208,245,366,369,372,381,382,383,386,390,391,392,
405,407,408,544,554,586,615,619,629,849,878,887,894,905,918,921,938,940,941,
943,945,953,955,961,1259,1293,1294,1296,1300,1609,1613,1632,1637,1699,2090,
2095,2118,2120,2122,2147,2363,2768,2808,2809,3354],[1,2,3,4,5,6,8,12,13,15,16,
17,22,25,28,29,30,31,32,33,34,35,37,40,41,42,43,44,45,55,101,103,118,120,121,
160,165,170,172,173,174,175,176,184,185,186,187,189,191,199,202,206,208,244,
366,367,369,372,380,381,382,383,384,385,386,390,391,392,405,407,408,532,549,
586,612,619,629,852,877,878,879,883,886,887,888,918,922,933,934,938,939,945,
953,955,961,1261,1293,1294,1295,1296,1300,1608,1613,1620,1630,1699,2087,2090,
2091,2118,2120,2123,2148,2362,2767,2808,2810,3355],[1,2,4,5,6,8,12,13,19,20,23
,28,29,32,35,40,41,43,44,71,107,110,118,120,121,160,162,173,174,179,180,188,
189,190,200,201,205,209,210,248,366,369,381,383,386,390,405,407,408,559,560,
592,615,620,629,849,880,881,895,918,919,938,942,944,945,951,952,954,962,1257,
1293,1294,1296,1609,1614,1626,1627,1701,2088,2092,2119,2120,2121,2147,2365,
2766,2806,2809,3356],[1,2,4,5,6,8,10,13,19,23,25,28,29,32,35,40,41,43,44,65,
103,107,118,120,121,160,168,173,179,180,189,200,202,205,209,210,249,366,369,
381,383,386,390,405,407,408,557,592,612,620,629,852,876,880,881,918,938,945,
951,952,954,962,1260,1293,1294,1296,1608,1614,1628,1701,2086,2092,2119,2120,
2148,2364,2765,2806,2810,3357],[1,2,3,4,5,6,8,12,13,16,19,20,21,22,23,28,29,30
,32,33,35,37,40,41,43,44,45,68,71,80,92,108,118,120,121,160,162,166,173,174,
175,179,180,181,182,183,185,188,189,190,193,205,206,270,366,369,372,381,382,
383,386,390,391,392,405,407,408,544,554,559,560,600,605,621,629,848,849,878,
880,881,887,894,895,905,918,919,921,938,940,941,942,943,944,945,1249,1293,1294
,1296,1300,1536,1540,1607,1626,1627,1632,1637,2088,2090,2092,2095,2097,2098,
2120,2121,2122,2380,2759,2763,2766,2768,2820,3358],[1,2,3,4,5,6,8,10,13,16,19,
21,23,28,29,30,32,33,35,37,40,41,43,44,45,65,68,79,92,107,118,120,121,160,166,
168,173,175,179,180,181,182,183,185,189,193,205,268,366,369,372,381,382,383,
386,390,391,392,405,407,408,544,554,557,598,605,620,629,849,876,878,880,881,
887,894,905,918,921,938,940,941,943,945,1250,1293,1294,1296,1300,1538,1540,
1606,1628,1632,1637,2086,2090,2092,2095,2098,2120,2122,2377,2760,2763,2765,
2768,2821,3359],[1,2,3,4,5,6,8,12,13,15,16,17,19,20,23,28,29,30,31,32,33,34,35
,37,40,41,42,43,44,45,55,71,81,92,107,118,120,121,160,162,165,170,172,173,174,
175,176,179,180,184,185,186,187,188,189,190,191,205,272,366,367,369,372,380,
381,382,383,384,385,386,390,391,392,405,407,408,532,549,559,560,599,605,620,
629,849,877,878,879,880,881,883,886,887,888,895,918,919,922,933,934,938,939,
942,944,945,1248,1293,1294,1295,1296,1300,1537,1540,1606,1620,1626,1627,1630,
2087,2088,2090,2091,2092,2098,2120,2121,2123,2381,2761,2763,2766,2767,2821,
3360],[1,2,3,4,5,6,8,10,12,13,15,16,17,19,22,23,28,29,30,31,32,33,34,35,37,40,
41,42,43,44,45,55,65,74,79,80,81,108,118,120,121,160,165,168,170,172,173,174,
175,176,179,180,184,185,186,187,189,191,205,206,287,366,367,369,372,380,381,
382,383,384,385,386,390,391,392,405,407,408,532,549,557,597,598,599,600,621,
629,848,849,876,877,878,879,880,881,883,886,887,888,918,922,933,934,938,939,
945,1253,1293,1294,1295,1296,1300,1535,1536,1537,1538,1607,1620,1628,1630,2086
,2087,2090,2091,2092,2097,2098,2120,2123,2384,2758,2759,2760,2761,2765,2767,
2820,3361],[1,2,4,5,6,8,10,12,13,19,20,22,23,28,29,31,32,35,40,41,42,43,44,46,
51,71,74,77,108,118,120,121,155,158,159,160,161,162,163,164,168,172,173,177,
178,189,205,206,280,366,369,380,381,383,386,387,388,389,390,405,407,408,409,
521,525,536,562,571,576,621,629,848,849,876,877,882,884,915,916,918,929,930,
931,932,936,937,938,945,946,1224,1293,1294,1296,1317,1318,1535,1539,1607,1617,
1618,1672,1675,2097,2098,2116,2117,2120,2136,2137,2139,2141,2376,2820,2822,
2823,2840,2841,3362],[1,2,4,5,6,8,10,13,19,22,23,28,29,32,35,38,40,41,43,44,65
,108,110,118,120,121,155,159,160,168,173,179,180,189,194,195,201,205,206,339,
366,369,378,379,381,383,386,387,390,405,407,408,556,557,561,585,593,615,621,
629,848,849,881,884,903,906,915,918,924,925,926,930,937,938,945,1241,1293,1294
,1296,1305,1317,1554,1607,1609,1629,1634,2097,2098,2110,2116,2120,2127,2128,
2147,2305,2809,2816,2820,2850,2851,3363],[1,2,4,5,6,8,10,13,19,23,25,28,29,32,
35,38,40,41,43,44,65,103,107,118,120,121,155,159,160,168,173,179,180,189,194,
195,202,205,249,366,369,378,379,381,383,386,387,390,405,407,408,556,557,561,
612,620,629,849,852,881,884,903,906,915,918,924,925,926,930,937,938,945,1260,
1293,1294,1296,1305,1317,1554,1606,1608,1629,1634,2098,2110,2116,2120,2127,
2128,2148,2438,2810,2816,2821,3364],[1,2,4,5,6,8,13,22,23,28,29,32,35,40,41,43
,44,101,107,108,118,120,121,160,173,189,199,200,205,206,208,209,210,347,366,
369,381,383,386,390,405,407,408,586,592,619,620,621,629,848,849,918,938,945,
951,952,953,954,955,961,962,1235,1293,1294,1296,1607,1613,1614,1699,1701,2097,
2098,2118,2119,2120,2358,2806,2808,2820,3365],[1,2,4,5,6,8,12,13,19,20,22,23,
28,29,31,32,35,40,41,42,43,44,46,71,101,107,118,120,121,158,160,161,162,163,
164,172,173,177,178,189,199,205,206,208,241,366,369,380,381,383,386,388,389,
390,405,407,408,409,525,562,586,619,620,629,849,877,882,916,918,929,931,932,
936,938,945,946,953,955,961,1230,1293,1294,1296,1318,1606,1613,1618,1675,1699,
2098,2117,2118,2120,2137,2139,2361,2808,2821,2823,3366],[1,2,4,5,6,8,10,13,23,
28,29,32,35,40,41,43,44,51,107,118,120,121,155,159,160,168,173,189,200,205,209
,210,239,366,369,381,383,386,387,390,405,407,408,521,536,592,620,629,849,876,
884,915,918,930,937,938,945,951,952,954,962,1228,1293,1294,1296,1317,1606,1614
,1617,1672,1701,2098,2116,2119,2120,2136,2141,2360,2806,2821,2822,3367],[1,2,4
,5,6,8,9,10,12,13,19,22,23,28,29,32,35,38,40,41,43,44,50,65,73,75,76,77,108,
118,120,121,153,154,155,156,159,160,162,168,173,174,179,180,188,189,194,195,
199,201,203,204,206,208,281,366,369,378,379,381,383,386,387,390,405,407,408,
474,482,483,484,485,496,497,498,522,528,551,556,557,561,569,574,593,595,607,
609,613,629,881,884,903,906,911,913,914,915,918,919,924,925,926,930,937,938,
942,944,945,953,955,958,959,960,961,1168,1181,1202,1293,1294,1296,1305,1317,
1552,1554,1629,1634,1654,1656,1658,1664,1669,1673,1678,1680,1682,1684,1685,
1686,1687,1690,1691,1704,1705,2085,2101,2110,2116,2118,2120,2121,2127,2128,
2430,2446,2454,2776,2777,2795,2797,2816,2818,2825,3368],[1,2,3,4,5,6,8,9,15,16
,17,19,20,23,30,31,32,33,34,35,37,38,40,41,42,43,44,45,46,52,56,75,92,106,118,
120,121,153,154,156,158,163,164,165,166,170,175,176,177,178,180,182,184,186,
187,190,191,192,193,194,195,197,200,201,203,204,205,209,210,275,367,369,372,
378,379,380,382,384,385,388,389,391,392,405,407,408,409,480,484,487,488,489,
491,496,497,499,526,529,535,548,550,552,558,564,570,575,580,589,591,596,603,
605,610,617,629,879,882,889,890,892,893,911,913,914,916,921,922,923,924,925,
926,927,929,931,932,933,934,939,940,941,943,951,952,954,958,959,960,962,1166,
1175,1182,1215,1293,1295,1300,1305,1318,1553,1555,1621,1623,1631,1651,1652,
1655,1659,1660,1661,1668,1670,1671,1679,1681,1683,1685,1686,1687,1688,1692,
1693,1694,1703,1706,1707,2085,2101,2110,2117,2119,2122,2123,2129,2130,2431,
2449,2451,2453,2776,2778,2796,2798,2817,2819,2826,3369],[1,2,3,4,6,8,15,24,25,
34,37,42,43,44,45,96,99,105,119,120,165,191,344,368,371,385,392,406,407,565,
634,850,851,917,934,1282,1309,1310,1311,1556,1559,1610,2154,2367,2751,3370],[1
,2,4,5,6,8,9,10,12,13,19,22,23,28,29,32,35,38,40,41,44,50,65,73,75,76,77,108,
118,120,121,139,141,145,153,155,156,160,162,168,173,174,179,180,189,195,199,
201,204,206,281,366,369,378,379,381,383,386,387,405,445,447,449,457,471,474,
482,483,484,485,497,500,507,522,528,556,557,569,593,607,613,629,857,866,867,
868,881,884,906,911,918,924,930,942,945,955,958,1078,1098,1168,1202,1294,1305,
1317,1512,1515,1526,1527,1528,1562,1577,1584,1602,1629,1642,1654,1658,1669,
1685,1691,1704,2103,2128,2330,2346,2407,2446,2783,2799,2845,3371],[1,2,3,4,5,6
,7,8,9,15,16,17,19,20,23,30,31,32,34,35,38,39,40,41,42,43,44,45,46,52,56,75,92
,106,118,121,124,125,126,139,141,142,145,153,154,156,158,165,166,170,175,176,
177,178,180,186,190,194,195,197,200,201,203,204,205,275,367,369,375,376,377,
379,383,384,388,391,401,402,408,409,449,455,457,467,471,480,484,487,489,491,
496,497,502,511,526,529,535,548,570,589,605,617,631,857,860,861,862,863,866,
889,892,895,910,914,926,927,931,933,940,951,960,1087,1089,1175,1215,1303,1307,
1320,1514,1515,1519,1522,1523,1525,1526,1563,1575,1585,1596,1621,1646,1651,
1660,1670,1687,1692,1706,2105,2134,2334,2339,2412,2449,2780,2803,2846,3372],[1
,2,3,4,5,6,7,8,9,15,16,17,19,20,23,31,32,34,35,37,38,39,41,42,43,44,45,46,52,
56,75,92,106,120,121,122,123,125,126,139,142,145,154,156,164,165,166,177,178,
186,190,191,192,193,194,195,197,200,203,204,210,275,367,373,374,376,377,378,
379,385,389,392,399,400,401,402,407,409,449,455,467,471,480,487,489,496,497,
499,502,511,526,548,558,564,580,596,610,617,632,858,859,860,864,866,890,893,
908,909,910,913,925,927,932,934,941,952,959,1087,1089,1182,1215,1304,1308,1321
,1514,1519,1520,1521,1524,1526,1572,1573,1574,1597,1598,1599,1623,1646,1652,
1661,1671,1686,1693,1707,2104,2135,2338,2340,2341,2412,2451,2781,2801,2847,
3373],[1,2,4,5,6,7,8,10,12,13,19,20,22,23,28,31,32,34,35,38,39,40,41,42,44,46,
51,71,74,77,108,118,121,124,125,126,140,143,146,155,159,160,162,168,173,174,
178,179,180,188,190,197,199,201,204,206,280,367,369,375,376,377,379,381,383,
384,388,401,402,405,409,448,452,454,464,470,479,482,485,498,501,508,521,536,
559,560,576,593,597,613,631,865,869,870,871,881,892,895,910,915,919,927,930,
942,945,955,958,1082,1111,1169,1203,1303,1307,1320,1513,1518,1529,1530,1531,
1570,1571,1586,1594,1627,1644,1648,1665,1672,1684,1691,1704,2109,2134,2333,
2348,2409,2447,2784,2800,2844,3374],[1,2,3,4,5,6,7,8,10,12,15,16,17,19,21,23,
31,32,33,35,36,38,39,40,42,44,45,47,62,70,77,79,87,92,106,118,121,124,125,126,
140,143,146,155,159,163,165,166,174,177,182,183,184,186,187,188,198,200,201,
204,209,279,369,370,375,376,377,379,380,382,394,397,398,405,410,452,453,461,
464,470,481,485,486,488,489,498,504,514,527,547,553,555,582,591,604,617,631,
865,869,870,871,879,894,898,901,915,919,928,929,939,943,954,958,1086,1113,1162
,1216,1302,1307,1322,1517,1518,1529,1530,1531,1581,1582,1590,1591,1633,1645,
1653,1666,1674,1684,1694,1703,2109,2132,2327,2328,2410,2452,2785,2800,2848,
3375],[1,2,4,5,6,7,8,9,10,12,13,19,22,23,28,29,32,35,38,39,40,41,43,44,50,65,
73,75,76,77,108,118,121,124,125,126,139,141,142,145,153,154,156,159,160,162,
168,173,179,180,188,189,194,195,199,201,203,204,208,281,366,369,375,376,377,
379,386,387,390,393,405,408,445,447,449,457,467,471,474,482,483,484,496,497,
498,500,507,522,551,557,561,574,595,609,613,631,857,860,861,862,863,866,903,
904,906,914,918,926,937,938,944,953,960,1078,1098,1181,1202,1297,1307,1319,
1512,1515,1519,1522,1523,1525,1526,1566,1578,1592,1601,1634,1642,1656,1664,
1673,1687,1690,1705,2105,2131,2345,2349,2407,2454,2779,2803,2849,3376],[1,2,3,
4,5,6,8,9,15,16,17,19,20,23,31,32,33,34,35,38,40,41,42,44,45,46,52,56,75,92,
106,118,120,121,139,141,145,153,156,163,165,166,177,178,180,182,184,186,187,
190,195,197,200,201,204,209,275,367,369,378,379,380,382,384,385,388,389,405,
409,449,455,457,471,480,484,487,488,489,497,502,511,526,548,550,552,575,591,
603,617,629,857,866,867,868,879,882,892,893,911,924,927,929,939,943,954,958,
1087,1089,1166,1215,1295,1305,1318,1514,1515,1526,1527,1528,1567,1568,1588,
1589,1631,1646,1655,1659,1668,1685,1694,1703,2103,2129,2323,2324,2412,2453,
2782,2799,2843,3377],[1,2,4,5,6,8,9,10,12,13,22,28,29,32,40,41,44,50,51,73,74,
101,118,120,121,139,141,145,153,155,156,159,160,162,168,173,174,199,206,208,
258,366,381,383,386,387,405,445,447,474,479,500,507,521,522,528,536,569,574,
576,586,597,619,629,857,866,867,868,876,911,915,930,942,945,955,961,1069,1156,
1225,1294,1317,1512,1562,1566,1577,1584,1602,1642,1658,1665,1669,1672,1678,
1699,1708,2103,2136,2311,2387,2465,2783,2811,2845,3378],[1,2,4,5,6,7,8,9,12,13
,19,20,23,29,31,32,34,35,40,41,42,43,44,46,50,71,75,87,107,118,121,124,125,126
,139,141,142,145,153,154,156,158,160,161,162,163,164,172,174,177,178,188,189,
200,205,209,210,262,367,383,384,386,388,390,393,401,402,405,408,409,449,455,
480,481,500,507,522,525,551,562,570,575,578,580,592,604,620,631,857,860,861,
862,863,866,883,914,916,931,936,938,942,944,946,951,962,1083,1160,1221,1303,
1319,1320,1514,1563,1567,1572,1575,1592,1601,1642,1660,1663,1673,1675,1679,
1701,1710,2105,2143,2329,2389,2464,2780,2814,2849,3379],[1,2,3,4,5,6,7,8,9,10,
15,16,19,22,23,28,29,30,32,40,41,42,43,44,45,46,52,62,73,75,79,80,109,118,121,
124,125,126,139,141,142,145,153,154,156,158,159,163,164,165,166,168,169,170,
175,179,199,205,208,209,210,283,366,383,384,387,391,393,401,408,409,445,447,
449,474,475,502,511,526,527,529,537,570,574,575,580,581,582,583,598,623,631,
857,860,861,862,863,866,880,914,916,933,935,937,940,947,953,962,1071,1145,1227
,1297,1320,1512,1563,1566,1567,1572,1578,1585,1596,1646,1662,1664,1670,1676,
1679,1700,1711,2105,2142,2313,2395,2463,2779,2814,2846,3380],[1,2,4,5,6,7,8,9,
10,12,13,22,28,29,31,32,34,40,41,42,44,46,50,51,73,74,101,118,121,124,125,126,
140,143,146,153,155,156,159,160,162,168,172,173,174,199,206,208,258,367,381,
383,384,386,388,393,401,402,405,409,446,448,454,474,479,501,508,521,522,528,
536,569,574,576,586,597,619,631,865,869,870,871,883,911,915,930,942,945,946,
955,961,1070,1156,1225,1303,1319,1320,1513,1564,1569,1570,1571,1586,1594,1644,
1658,1665,1669,1672,1678,1699,1708,2109,2143,2312,2394,2465,2784,2812,2844,
3381],[1,2,3,4,5,6,8,9,10,15,16,19,22,23,28,31,32,33,34,40,41,42,44,45,46,52,
62,73,75,79,80,109,118,120,121,139,141,145,153,155,156,159,163,165,166,177,179
,182,184,200,206,208,209,283,367,380,381,382,384,385,387,388,389,405,409,445,
449,455,480,486,502,511,526,527,547,552,569,574,575,581,582,590,602,623,629,
857,866,867,868,891,911,915,929,939,943,947,954,961,1071,1161,1227,1295,1317,
1318,1514,1562,1566,1567,1568,1588,1589,1646,1659,1666,1668,1674,1678,1702,
1709,2103,2140,2322,2395,2462,2782,2811,2843,3382],[1,2,3,4,5,6,7,8,9,10,15,16
,19,22,23,29,31,33,36,40,42,44,45,47,52,62,73,75,79,80,109,118,121,124,125,126
,140,143,146,153,155,156,159,163,165,166,177,182,184,185,200,206,208,209,283,
370,380,382,386,393,394,397,398,405,410,446,453,461,480,486,504,514,526,527,
547,552,569,574,575,581,582,590,602,623,631,865,869,870,871,897,911,915,929,
939,943,949,954,961,1073,1161,1227,1302,1319,1322,1517,1564,1569,1581,1582,
1590,1591,1645,1659,1666,1668,1674,1678,1702,1709,2109,2145,2325,2396,2462,
2785,2812,2848,3383],[1,2,4,5,6,8,10,12,13,19,20,23,28,29,31,32,34,35,38,40,41
,42,44,46,65,71,77,81,110,118,120,121,155,160,162,163,168,172,173,174,177,178,
179,180,189,190,195,197,201,205,288,366,367,369,378,379,380,381,383,384,385,
386,387,388,389,390,405,409,478,485,556,557,560,562,571,585,599,629,849,876,
877,880,881,882,883,884,891,892,893,903,906,918,924,927,929,930,945,946,947,
1153,1294,1295,1296,1305,1317,1318,1537,1539,1609,1618,1628,1629,1639,2087,
2092,2098,2127,2128,2129,2136,2139,2140,2141,2147,2383,2761,2788,2791,2832,
2835,2840,2851,3384],[1,2,3,4,5,6,8,10,12,13,15,16,17,19,22,23,28,29,30,31,32,
33,35,37,38,40,41,42,44,45,46,55,65,74,79,80,81,108,118,120,121,155,160,162,
165,168,169,172,173,175,176,179,180,184,185,186,187,189,192,195,201,206,287,
366,369,372,378,379,380,381,382,383,386,387,388,389,390,391,392,405,409,476,
478,533,549,556,557,576,593,600,629,848,849,876,877,878,879,880,881,884,885,
887,889,890,903,906,918,923,924,930,935,939,945,946,1152,1294,1296,1300,1305,
1317,1318,1535,1536,1537,1538,1607,1625,1628,1629,1630,2090,2092,2097,2127,
2128,2130,2136,2138,2139,2141,2147,2384,2759,2789,2791,2834,2835,2841,2850,
3385],[1,2,3,4,5,6,8,10,12,13,15,16,17,23,28,29,30,31,32,33,35,37,38,40,41,42,
44,45,46,51,55,77,79,110,118,120,121,155,162,165,168,169,172,173,175,176,184,
185,186,187,189,192,201,205,284,366,369,372,378,379,380,381,382,386,387,388,
389,391,392,405,409,476,482,533,536,549,571,585,598,629,849,876,877,878,879,
884,885,887,889,890,906,918,923,930,935,939,946,1148,1294,1300,1305,1317,1318,
1538,1539,1609,1617,1625,1630,2086,2090,2098,2128,2130,2136,2138,2139,2147,
2382,2760,2787,2789,2833,2834,2840,2851,3386],[1,2,4,5,6,8,10,12,13,19,20,22,
23,28,29,31,32,34,35,38,40,41,42,44,46,51,71,74,77,108,118,120,121,155,162,163
,168,172,173,174,177,178,179,189,190,197,201,206,280,366,367,369,378,379,380,
381,384,385,386,387,388,389,405,409,482,485,536,560,562,576,593,597,629,848,
849,876,877,882,883,884,891,892,893,906,918,927,929,930,946,947,1169,1294,1295
,1305,1317,1318,1535,1539,1607,1617,1618,1639,2086,2087,2097,2128,2129,2136,
2139,2140,2147,2376,2758,2787,2788,2832,2833,2841,2850,3387],[1,2,3,4,5,6,7,8,
12,13,16,19,20,21,22,23,28,29,31,32,33,34,35,36,38,39,40,41,42,44,45,46,47,68,
71,80,92,108,118,121,124,125,126,162,163,166,172,173,174,177,178,179,182,183,
185,189,190,197,198,204,208,270,366,367,369,370,375,376,377,379,382,383,384,
386,387,388,393,394,397,398,401,402,405,409,410,488,489,554,560,562,581,595,
602,631,848,849,878,880,883,891,892,894,895,897,898,901,904,906,910,918,927,
928,942,943,946,947,949,1165,1297,1302,1303,1307,1319,1320,1322,1536,1540,1607
,1626,1632,1639,1640,2093,2094,2099,2131,2132,2134,2142,2143,2144,2145,2149,
2380,2762,2793,2794,2838,2839,2842,2852,3388],[1,4,6,8,20,24,31,34,35,38,42,46
,88,96,116,119,120,178,197,358,371,378,385,389,403,565,634,850,893,902,1275,
1310,1316,1330,1543,1556,1695,2157,2459,2751,3389],[1,4,7,8,20,24,34,38,39,46,
88,96,116,119,123,127,197,358,371,373,400,403,404,566,637,850,902,908,1276,
1312,1314,1333,1543,1556,1695,2160,2459,2753,3390],[1,4,7,8,20,24,34,38,39,46,
88,96,116,119,122,127,197,358,371,374,399,403,404,566,636,850,902,909,1276,
1313,1315,1332,1543,1556,1695,2159,2459,2752,3391],[1,4,7,8,20,25,34,38,39,46,
93,97,117,119,122,127,197,359,371,374,399,403,404,567,636,851,902,909,1278,
1313,1315,1332,1544,1557,1696,2159,2457,2757,3392],[1,4,7,8,20,25,34,38,39,46,
93,98,117,119,123,127,197,360,371,373,400,403,404,568,637,851,902,908,1277,
1312,1314,1333,1544,1558,1696,2160,2456,2756,3393],[1,4,7,8,20,25,34,38,39,46,
93,98,117,119,123,127,197,360,371,373,400,403,404,568,637,853,902,908,1277,
1312,1314,1333,1547,1561,1697,2160,2461,2755,3394],[1,4,7,8,20,25,34,38,39,46,
93,97,117,119,122,127,197,359,371,374,399,403,404,567,636,854,902,909,1278,
1313,1315,1332,1548,1560,1698,2159,2460,2754,3395],[1,4,5,7,8,20,24,32,34,38,
39,41,46,88,96,116,119,125,127,190,197,207,358,371,376,401,402,403,404,608,611
,625,633,850,902,910,1288,1298,1299,1543,1556,1695,2096,2100,2459,2764,2827,
2869,3396],[1,2,3,4,7,8,9,15,16,17,19,20,23,34,37,38,39,43,46,52,56,75,92,106,
119,122,127,142,145,154,164,191,192,193,194,197,203,210,275,368,371,374,399,
403,404,406,455,467,471,496,499,511,558,564,580,596,610,636,859,872,902,907,
909,912,917,920,948,956,1087,1182,1313,1315,1332,1521,1551,1573,1583,1598,1616
,1635,1657,1667,2114,2159,2341,2375,2829,2860,2870,3397],[1,2,3,4,7,8,9,15,16,
17,19,20,23,34,37,38,39,43,46,52,56,75,92,106,119,123,127,142,145,154,164,191,
192,193,194,197,203,210,275,368,371,373,400,403,404,406,455,467,471,496,499,
511,558,564,580,596,610,637,858,872,902,907,908,912,917,920,948,956,1087,1182,
1312,1314,1333,1520,1551,1574,1583,1597,1616,1635,1657,1667,2115,2160,2340,
2375,2828,2859,2871,3398],[1,2,3,4,6,8,9,15,16,17,19,20,23,31,34,35,37,38,42,
43,44,45,46,52,56,75,92,106,119,120,154,156,164,165,166,177,178,186,191,192,
193,194,195,197,200,203,204,210,275,368,371,378,385,389,392,403,406,407,480,
487,489,496,497,499,526,548,558,564,580,596,610,617,634,890,893,902,907,912,
913,917,920,925,932,934,941,948,952,956,959,1182,1215,1309,1310,1311,1316,1330
,1551,1616,1623,1635,1652,1657,1661,1667,1671,1686,1693,1707,2111,2124,2125,
2153,2154,2155,2156,2157,2158,2375,2451,2830,2831,2864,2865,2866,2867,2868,
3399],[1,2,3,4,5,9,11,15,16,18,21,26,28,30,41,49,52,60,66,67,72,130,131,135,
139,157,169,181,220,222,235,421,425,432,502,520,542,543,666,967,972,976,1042,
1121,1343,1714,1838,2178,2874,3400],[1,2,3,4,5,9,10,12,13,14,15,16,17,19,20,26
,28,30,32,40,41,50,51,52,53,54,55,56,62,63,64,65,71,130,131,132,135,136,139,
155,160,169,170,171,173,180,221,228,229,230,231,422,423,425,426,427,429,433,
500,502,521,538,539,540,556,668,968,981,982,983,984,1041,1047,1122,1343,1715,
1840,2178,2179,2876,2877,3401],[1,2,3,4,5,9,11,12,13,14,15,16,17,21,26,28,30,
32,40,41,50,52,54,55,57,64,67,68,69,70,130,131,132,135,136,139,153,160,162,169
,170,171,173,174,175,176,218,229,232,233,234,420,422,424,425,426,427,428,429,
430,431,500,502,522,528,529,531,532,533,539,667,969,971,977,978,979,980,981,
1039,1047,1051,1130,1343,1719,1841,2178,2179,2873,2876,2878,3402],[1,2,3,4,5,9
,11,12,13,14,15,16,17,18,21,26,28,30,32,40,41,50,52,54,55,57,58,59,60,61,64,67
,68,69,70,130,131,132,135,136,139,157,160,162,169,170,171,173,175,176,181,222,
223,225,226,229,232,233,421,422,424,425,426,427,429,430,431,432,500,502,524,
533,539,543,544,545,546,669,970,972,973,974,975,978,981,1042,1047,1051,1129,
1343,1717,1844,2178,2179,2874,2876,2878,3403],[1,2,4,5,9,10,11,12,13,22,24,26,
28,32,40,50,51,57,73,74,82,100,101,130,132,136,139,153,155,168,173,174,199,206
,218,236,237,257,258,414,415,420,428,429,445,474,479,500,528,536,569,586,597,
688,971,986,987,1039,1069,1115,1156,1343,1721,1851,2166,2179,2873,2880,2883,
3404],[1,2,4,5,9,11,12,13,14,19,23,25,26,28,32,40,41,50,57,63,75,81,89,103,110
,130,132,136,139,153,158,171,173,174,179,180,201,205,218,242,247,265,286,416,
417,420,428,429,449,477,484,500,528,541,570,585,599,695,971,989,990,1039,1072,
1117,1151,1343,1722,1855,2168,2179,2873,2881,2885,3405],[1,2,3,4,5,9,10,12,13,
15,16,17,21,22,23,25,26,28,30,32,40,41,50,51,52,55,68,70,73,74,77,79,91,101,
103,110,130,131,132,135,136,139,155,162,168,169,173,175,176,201,205,232,244,
245,247,258,264,284,414,417,424,425,429,430,431,445,476,482,500,502,533,536,
571,585,598,701,978,987,990,1051,1069,1117,1148,1343,1723,1857,2166,2178,2179,
2878,2881,2883,3406],[1,2,3,4,5,9,12,13,14,15,16,17,19,21,22,23,24,26,28,30,32
,40,41,50,52,55,63,68,70,75,76,80,81,90,100,101,110,130,131,132,135,136,139,
158,162,169,171,173,175,176,179,180,199,206,232,237,243,245,266,285,286,415,
416,424,425,429,430,431,449,475,483,500,502,533,541,572,586,600,700,978,986,
989,1051,1072,1115,1147,1343,1724,1856,2168,2178,2179,2878,2880,2885,3407],[1,
2,4,5,9,10,12,13,19,20,23,25,26,28,32,40,41,50,65,71,75,77,81,87,93,103,107,
110,130,132,136,139,155,162,173,174,179,180,190,201,205,221,247,248,249,262,
267,288,416,417,423,429,433,449,478,485,500,556,560,571,585,599,703,984,990,
994,1041,1083,1117,1153,1343,1725,1858,2168,2179,2877,2881,2887,3408],[1,2,4,6
,9,10,12,13,19,20,22,23,24,26,29,31,35,42,44,50,65,71,74,75,76,87,88,100,101,
107,130,132,136,140,156,163,172,177,178,188,189,200,209,221,237,240,241,260,
262,282,414,415,420,428,429,448,480,481,505,551,562,575,592,604,690,971,986,
987,1040,1081,1116,1160,1344,1721,1853,2167,2180,2875,2882,2886,3409],[1,2,3,4
,5,9,12,13,14,15,16,17,19,21,23,25,26,28,30,32,40,41,50,52,55,63,68,70,75,81,
87,92,94,95,103,110,130,131,132,135,136,139,158,162,169,171,173,175,176,179,
180,201,205,232,247,250,251,271,286,295,416,417,424,425,429,430,431,449,491,
494,500,502,533,541,578,585,605,710,978,989,990,1051,1072,1117,1176,1343,1727,
1865,2168,2178,2179,2878,2881,2885,3410],[1,2,4,5,9,10,12,13,19,20,22,23,24,26
,28,32,40,41,50,65,71,74,75,76,87,88,100,101,107,130,132,136,139,155,162,173,
174,179,180,190,199,206,221,237,240,241,260,262,282,415,416,423,429,433,449,
479,483,500,556,560,576,586,607,690,984,986,994,1041,1083,1115,1167,1343,1726,
1852,2168,2179,2877,2880,2887,3411],[1,2,3,4,6,10,13,14,16,19,21,23,24,26,29,
33,35,44,45,63,65,68,79,90,92,100,107,130,132,136,140,159,166,182,183,185,189,
195,200,209,227,240,246,266,268,415,416,423,429,433,453,486,487,505,554,561,
582,592,603,699,984,986,994,1048,1085,1116,1163,1344,1726,1859,2169,2180,2879,
2882,2891,3412],[1,2,3,4,5,9,15,16,24,25,26,28,30,41,52,96,97,98,99,105,111,
130,131,135,139,169,202,207,333,344,345,425,435,437,502,587,611,624,733,985,
1009,1014,1136,1141,1343,1729,1901,2178,2901,3413],[1,2,3,4,5,9,12,13,14,15,16
,17,24,25,26,28,30,32,40,41,50,52,54,55,64,100,103,104,105,111,112,130,131,132
,135,136,139,160,169,170,171,173,202,207,229,333,334,335,336,422,425,426,427,
429,435,437,500,502,539,587,588,612,618,735,981,999,1002,1009,1010,1047,1141,
1236,1343,1737,1908,2178,2179,2876,2901,3414],[1,2,3,4,5,9,12,13,14,15,16,17,
22,23,26,28,30,32,40,41,50,52,54,55,64,101,106,107,108,109,110,130,131,132,135
,136,139,160,169,170,171,173,201,206,229,331,337,338,340,422,425,426,427,429,
436,438,500,502,539,584,593,615,619,737,981,1000,1003,1011,1012,1047,1139,1242
,1343,1739,1910,2178,2179,2876,2902,3415],[1,2,3,4,5,9,11,15,16,18,21,24,25,26
,28,30,41,52,60,67,102,105,111,113,114,115,130,131,135,139,157,169,181,202,207
,222,333,341,342,343,421,425,432,435,437,502,543,587,594,614,622,736,972,1001,
1004,1009,1013,1042,1141,1244,1343,1738,1909,2178,2874,2901,3416],[1,2,4,5,9,
10,11,12,13,19,20,22,23,26,28,32,40,41,50,57,65,71,73,75,76,77,87,107,108,130,
132,136,139,153,160,162,168,173,174,179,180,190,218,221,261,262,263,281,331,
414,416,420,428,429,445,449,500,522,528,557,559,560,742,971,994,997,1039,1078,
1083,1126,1343,1752,1874,2166,2168,2179,2873,2887,2888,3417],[1,2,4,5,9,10,12,
13,14,19,20,22,23,26,28,32,40,41,50,63,65,71,73,75,76,77,81,108,110,130,132,
136,139,155,158,160,168,171,173,179,180,221,227,281,286,288,289,339,414,416,
423,429,433,445,449,500,523,540,541,556,557,764,984,989,997,1041,1072,1078,
1124,1343,1754,1876,2166,2168,2179,2877,2885,2888,3418],[1,2,3,4,5,9,10,12,13,
14,15,16,17,19,22,23,26,28,30,32,40,41,50,51,52,54,55,62,63,64,65,73,74,75,76,
77,79,80,81,101,108,109,110,130,131,132,135,136,139,155,158,160,168,169,170,
171,173,179,180,228,229,258,281,283,284,285,286,287,290,340,414,416,422,425,
426,427,429,445,449,500,502,523,536,537,538,539,541,557,767,981,987,988,989,
997,1047,1069,1071,1072,1078,1123,1343,1755,1877,2166,2168,2178,2179,2876,2883
,2884,2885,2888,3419],[1,2,4,5,9,10,12,13,19,20,22,23,26,28,32,40,41,50,51,65,
71,73,74,75,76,77,101,108,130,132,136,139,155,160,168,173,179,180,219,221,258,
280,281,282,332,414,416,423,429,433,445,449,500,521,536,556,557,743,984,987,
997,1041,1069,1078,1125,1343,1753,1875,2166,2168,2179,2877,2883,2888,3420],[1,
2,3,4,5,9,12,13,14,15,16,17,19,20,23,26,28,30,32,40,41,50,52,53,54,55,56,63,64
,71,75,81,87,92,106,107,110,130,131,132,135,136,139,158,160,161,162,169,170,
171,173,174,176,179,180,190,229,230,262,269,271,272,275,286,337,416,422,425,
426,427,429,449,500,502,525,530,531,534,535,539,541,559,560,760,981,989,993,
994,1047,1072,1083,1089,1132,1343,1759,1888,2168,2178,2179,2876,2885,2887,2889
,3421],[1,2,3,4,5,9,10,12,13,15,16,17,19,20,21,22,23,26,28,30,32,40,41,50,52,
55,56,62,65,68,70,71,73,75,76,77,79,80,87,92,106,107,108,109,130,131,132,135,
136,139,158,160,161,162,168,169,170,173,174,175,176,179,180,190,231,232,262,
268,270,275,278,279,281,283,338,414,416,424,425,429,430,431,445,449,500,502,
525,532,533,534,535,537,557,560,761,978,988,993,994,997,1051,1071,1078,1083,
1089,1133,1343,1761,1889,2166,2168,2178,2179,2878,2884,2887,2888,2889,3422],[1
,2,3,4,6,10,12,13,14,15,16,17,19,20,22,23,26,29,31,33,35,42,44,45,55,56,62,63,
65,71,74,76,79,80,81,101,108,130,132,136,140,159,163,165,172,177,178,184,185,
186,187,189,195,227,231,282,285,287,289,332,414,416,423,429,433,448,453,505,
527,547,548,549,550,561,562,763,984,987,997,1048,1076,1081,1135,1344,1753,1883
,2167,2169,2180,2879,2886,2890,3423],[1,2,3,4,6,9,10,12,13,15,16,17,19,20,21,
22,23,26,29,31,33,35,42,44,45,50,52,55,65,68,70,71,74,79,80,81,92,107,108,130,
132,136,140,156,165,166,172,182,183,184,185,186,187,188,189,221,232,268,270,
272,287,331,414,416,420,428,429,448,453,505,526,549,551,552,553,554,555,757,
971,994,997,1040,1076,1085,1134,1344,1752,1878,2167,2169,2180,2875,2890,2891,
3424],[1,2,3,4,5,9,11,12,13,14,15,16,17,21,26,40,41,50,52,54,55,57,64,67,68,69
,70,130,131,132,135,136,139,153,160,162,215,218,229,232,233,234,420,421,422,
424,425,426,427,428,429,430,431,432,500,502,522,650,652,663,667,969,970,971,
972,973,974,975,977,978,979,980,981,1039,1047,1051,1356,1360,1378,1379,1716,
1717,1718,1719,1720,1841,2185,2186,2192,2195,2471,2899,2904,2905,3425],[1,2,4,
6,9,11,12,13,24,26,31,49,50,57,78,82,102,135,136,141,144,216,218,238,259,420,
421,422,424,437,451,659,687,967,969,970,1004,1005,1008,1058,1358,1359,1720,
1733,1751,1817,2200,2478,2900,3426],[1,2,4,6,9,10,11,12,13,22,24,26,29,50,51,
57,73,74,82,100,101,135,136,141,144,216,218,236,237,257,258,420,421,422,423,
424,437,438,447,450,661,688,968,969,970,1002,1003,1006,1007,1008,1058,1358,
1359,1720,1731,1732,1749,1750,1818,2199,2201,2479,2900,3427],[1,2,3,4,6,9,11,
12,13,21,25,26,33,50,57,66,86,91,113,131,135,136,141,144,216,218,254,300,420,
421,422,424,432,435,459,655,691,969,970,976,1001,1023,1025,1058,1358,1359,1720
,1744,1748,1819,2205,2476,2900,3428],[1,2,4,6,9,11,12,13,14,19,23,25,26,35,50,
57,63,75,81,89,103,110,132,135,136,141,144,216,218,242,247,265,286,420,421,422
,424,426,433,435,436,457,460,658,695,969,970,982,999,1000,1020,1022,1024,1058,
1358,1359,1720,1740,1742,1746,1747,1824,2206,2207,2477,2900,3429],[1,2,3,4,6,9
,11,12,13,14,15,16,17,21,26,44,50,52,54,55,57,64,67,68,69,70,130,131,132,135,
136,141,144,216,218,229,232,233,234,420,421,422,424,425,426,427,428,429,430,
431,432,507,510,651,667,969,970,971,972,973,974,975,977,978,979,980,981,1058,
1358,1359,1716,1717,1718,1719,1720,1902,2189,2191,2471,2900,3430],[1,2,4,6,10,
11,12,13,24,26,42,49,51,57,78,82,96,100,102,135,136,140,144,216,257,259,316,
421,422,423,424,437,501,503,565,664,671,967,968,970,985,1002,1004,1005,1008,
1357,1359,1731,1733,1769,1832,2193,2194,2228,2472,3431],[1,2,3,4,5,9,11,15,16,
18,21,24,25,26,28,30,41,52,60,67,78,83,84,85,86,105,111,130,131,135,139,157,
169,181,202,207,222,301,306,311,333,421,425,432,435,437,495,502,543,573,587,
601,744,972,1005,1009,1015,1025,1042,1141,1157,1343,1772,1949,2178,2874,2901,
3432],[1,2,3,4,5,9,10,12,13,15,16,17,19,20,21,22,23,26,28,30,32,40,41,50,52,55
,65,68,70,71,74,79,80,81,92,107,108,130,131,132,135,136,139,155,162,169,173,
175,176,180,201,206,221,232,268,270,272,287,331,423,424,425,429,430,431,433,
436,438,476,478,500,502,533,556,576,593,600,757,978,984,1006,1011,1016,1019,
1020,1041,1051,1139,1152,1343,1777,1955,2178,2179,2877,2878,2902,3433],[1,2,4,
5,9,10,11,12,13,19,20,22,23,26,28,32,40,50,57,65,71,73,75,76,77,87,107,108,130
,132,136,139,153,155,173,174,180,201,206,218,221,261,262,263,281,331,420,423,
428,429,433,436,438,484,485,500,528,556,569,593,607,742,971,984,1007,1011,1017
,1021,1022,1039,1041,1139,1168,1343,1778,1948,2179,2873,2877,2902,3434],[1,2,3
,4,5,9,11,12,13,14,15,16,17,18,21,24,25,26,28,30,32,40,41,50,52,54,55,60,64,67
,82,89,90,91,94,95,105,111,130,131,132,135,136,139,157,160,169,170,171,173,181
,202,207,222,229,274,296,297,298,333,421,422,425,426,427,429,432,435,437,490,
492,500,502,539,543,577,587,606,753,972,981,1008,1009,1018,1023,1024,1042,1047
,1141,1180,1343,1780,1956,2178,2179,2874,2876,2901,3435],[1,2,4,6,9,10,12,13,
14,19,20,22,23,26,29,35,44,50,63,65,71,73,75,76,77,81,108,110,130,132,136,140,
156,159,188,189,195,204,208,221,227,281,286,288,289,339,420,423,428,429,433,
436,438,497,498,505,551,561,574,595,609,764,971,984,1007,1011,1017,1021,1022,
1040,1048,1144,1181,1344,1778,1954,2180,2875,2879,2903,3436],[1,2,3,4,5,9,12,
13,14,15,16,17,22,23,24,25,26,28,30,32,40,41,50,52,54,55,64,100,101,103,104,
105,108,109,110,130,131,132,135,136,139,160,169,170,171,173,199,201,205,206,
229,237,243,244,247,336,340,415,417,422,425,426,427,429,500,502,539,583,584,
585,586,613,621,788,981,986,990,991,992,1047,1115,1117,1240,1343,1760,1970,
2178,2179,2876,2880,2881,3437],[1,2,3,4,5,9,12,13,14,15,16,17,23,25,26,28,30,
32,40,41,50,52,54,55,64,103,106,107,110,111,112,130,131,132,135,136,139,160,
169,170,171,173,201,205,229,247,251,334,337,417,422,425,426,427,429,500,502,
539,585,589,616,620,794,981,990,995,996,1047,1117,1237,1343,1757,1971,2178,
2179,2876,2881,3438],[1,2,4,5,9,10,12,13,19,20,22,23,26,28,32,40,41,50,51,71,
73,74,75,77,87,101,107,108,130,132,136,139,155,162,168,173,174,179,190,201,206
,239,241,258,262,280,331,347,414,416,429,436,438,445,449,482,485,500,536,560,
576,593,597,799,987,994,1011,1069,1083,1139,1169,1343,1781,1934,2166,2168,2179
,2883,2887,2902,3439],[1,2,4,5,9,12,13,14,19,20,22,23,26,28,32,40,41,50,63,71,
75,76,81,87,107,108,110,130,132,136,139,158,162,171,173,174,179,180,190,201,
206,246,248,262,286,289,331,351,416,429,436,438,449,477,478,500,541,560,572,
593,607,801,989,994,1011,1072,1083,1139,1155,1343,1784,1939,2168,2179,2885,
2887,2902,3440],[1,2,3,4,5,9,15,16,17,19,20,23,24,25,26,28,30,32,41,52,56,75,
88,92,93,105,106,111,130,131,135,139,161,169,176,179,190,202,207,253,275,277,
333,349,416,425,435,437,449,493,502,534,579,587,608,807,993,1009,1089,1141,
1171,1343,1785,1940,2168,2178,2889,2901,3441],[1,2,3,4,6,10,12,13,16,19,20,21,
22,23,26,29,31,33,35,42,44,45,65,68,71,74,76,79,80,92,101,107,108,110,130,132,
136,140,163,166,172,177,178,182,183,185,189,204,208,245,248,268,270,282,339,
347,414,416,429,436,438,448,453,488,489,505,554,562,581,595,602,804,987,994,
1011,1081,1085,1144,1165,1344,1781,1937,2167,2169,2180,2886,2891,2903,3442],[1
,2,3,4,6,9,11,12,13,21,25,26,45,50,57,66,86,91,113,131,135,136,141,144,216,218
,254,300,420,421,422,424,432,435,509,653,691,969,970,976,1001,1023,1025,1058,
1358,1359,1720,1744,1748,1846,2190,2476,2900,3443],[1,2,3,4,5,9,12,13,14,15,16
,17,22,23,24,25,26,40,41,50,52,54,55,64,100,101,103,104,105,108,109,110,130,
131,132,135,136,139,160,199,201,215,229,237,243,244,247,336,340,414,415,416,
417,420,422,424,425,426,427,428,429,430,431,500,502,613,650,652,663,788,969,
971,977,978,979,980,981,986,987,988,989,990,991,992,997,1047,1115,1117,1351,
1353,1356,1378,1719,1721,1722,1723,1724,1755,1760,1970,2185,2186,2192,2220,
2489,2895,2896,2905,3444],[1,2,3,4,5,9,12,13,14,15,16,17,23,25,26,40,41,50,52,
54,55,64,103,106,107,110,111,112,130,131,132,135,136,139,160,201,215,229,247,
251,334,337,416,417,420,422,424,425,426,427,428,429,430,431,500,502,616,650,
652,663,794,969,971,977,978,979,980,981,989,990,993,994,995,996,1047,1117,1353
,1356,1378,1719,1722,1727,1757,1759,1971,2185,2186,2192,2219,2487,2896,2905,
3445],[1,2,3,4,6,10,13,14,15,19,23,24,25,26,42,44,45,51,62,63,64,65,100,103,
104,105,106,107,110,130,131,132,135,136,140,165,200,204,216,228,240,249,336,
337,415,416,417,422,423,425,426,427,429,433,501,504,505,617,651,653,664,787,
968,981,982,983,984,986,989,990,991,992,993,994,1049,1116,1118,1352,1354,1357,
1380,1715,1725,1726,1759,1760,1972,2187,2188,2193,2221,2488,2897,2898,2906,
3446],[1,2,4,5,9,10,12,13,19,22,23,24,26,28,32,40,41,50,65,73,75,76,77,100,101
,107,108,130,132,136,139,160,168,173,179,180,199,201,206,237,240,281,331,332,
346,347,414,415,416,429,436,438,445,449,500,557,586,593,613,619,809,986,997,
1011,1078,1115,1139,1243,1343,1782,1913,2166,2168,2179,2880,2888,2902,3447],[1
,2,4,5,9,10,12,13,19,22,23,25,26,28,32,40,41,50,65,73,75,76,77,103,107,108,110
,130,132,136,139,160,168,173,179,180,201,205,206,247,249,281,331,339,350,351,
414,416,417,429,436,438,445,449,500,557,585,593,615,621,810,990,997,1011,1078,
1117,1139,1241,1343,1783,1914,2166,2168,2179,2881,2888,2902,3448],[1,2,3,4,6,
10,12,13,15,16,17,19,22,23,24,26,29,31,33,35,42,44,45,55,65,74,79,80,81,100,
106,107,108,109,110,130,132,136,140,165,172,184,185,186,187,189,200,204,208,
209,240,243,287,338,339,346,351,414,415,416,429,436,438,448,453,505,549,590,
591,592,595,617,623,811,986,997,1011,1076,1116,1144,1245,1344,1782,1916,2167,
2169,2180,2882,2890,2903,3449],[1,2,3,4,5,9,10,12,13,14,15,16,17,19,22,23,26,
28,32,40,41,50,51,52,54,55,62,63,64,65,73,74,75,76,77,79,80,81,101,108,109,110
,130,131,132,135,136,139,160,168,173,179,180,215,228,229,258,281,283,284,285,
286,287,290,340,420,422,423,424,425,426,427,428,429,430,431,433,436,438,445,
449,500,502,557,650,652,656,660,663,767,968,969,971,977,978,979,980,981,982,
983,984,1000,1003,1006,1007,1011,1012,1016,1017,1019,1020,1021,1022,1047,1069,
1071,1072,1078,1356,1366,1370,1374,1376,1378,1715,1719,1732,1735,1739,1742,
1743,1775,1776,1777,1778,1877,2185,2186,2192,2197,2202,2216,2491,2905,2908,
2912,2921,2922,3450],[1,2,3,4,6,9,10,12,13,14,15,16,17,19,22,23,26,29,31,33,35
,42,44,45,50,51,52,54,55,62,63,64,65,73,74,75,76,77,79,80,81,101,108,109,110,
130,131,132,135,136,140,165,172,184,185,186,187,189,216,228,229,258,281,283,
284,285,286,287,290,340,420,422,423,424,425,426,427,428,429,430,431,433,436,
438,446,448,452,453,501,504,505,549,651,653,655,658,659,661,664,767,968,969,
971,977,978,979,980,981,982,983,984,1000,1003,1006,1007,1011,1012,1016,1017,
1019,1020,1021,1022,1049,1070,1073,1074,1075,1076,1080,1357,1367,1368,1369,
1371,1375,1377,1380,1715,1719,1732,1735,1739,1742,1743,1775,1776,1777,1778,
1887,2187,2188,2193,2196,2198,2203,2204,2217,2491,2906,2909,2913,2918,2919,
2920,2923,3451],[1,2,3,4,6,11,12,13,14,15,16,17,21,24,25,26,29,31,33,35,42,44,
45,49,55,57,64,66,67,68,69,70,78,82,85,86,89,90,91,102,105,113,114,130,131,132
,135,136,144,165,172,184,185,186,187,189,216,220,233,259,274,300,301,302,303,
304,305,343,421,422,424,425,426,427,429,430,431,432,435,437,450,451,459,460,
503,509,510,549,651,653,655,658,659,661,664,768,967,970,972,973,974,975,976,
978,981,1001,1004,1005,1008,1009,1013,1015,1018,1023,1024,1025,1055,1084,1090,
1091,1092,1093,1094,1359,1367,1368,1369,1371,1375,1377,1380,1714,1717,1733,
1736,1738,1744,1745,1772,1773,1774,1780,1899,2190,2191,2194,2199,2200,2205,
2206,2217,2492,2907,2910,2914,2924,2925,2926,2927,3452],[1,2,3,4,5,9,10,12,13,
15,16,17,21,22,23,25,26,28,40,41,50,51,52,55,68,70,73,74,77,79,91,101,103,110,
131,132,135,136,139,162,168,201,215,232,244,245,247,258,264,284,420,422,423,
424,427,428,430,431,432,435,436,438,445,482,500,502,652,660,663,701,968,969,
973,975,977,979,999,1000,1003,1006,1007,1019,1021,1023,1051,1069,1117,1356,
1374,1379,1381,1716,1732,1741,1743,1747,1763,1765,1857,2186,2192,2197,2224,
2494,2904,2908,2911,3453],[1,2,3,4,5,9,12,13,14,15,16,17,24,25,26,40,41,50,52,
54,55,64,100,103,104,105,111,112,130,131,132,135,136,139,160,207,215,229,333,
334,335,336,415,417,420,422,424,425,426,427,428,429,430,431,500,502,618,650,
652,663,735,969,971,977,978,979,980,981,986,990,991,992,995,996,1047,1141,1356
,1363,1378,1719,1756,1757,1758,1760,1908,2185,2186,2192,2225,2475,2905,2930,
3454],[1,2,3,4,5,9,12,13,14,15,16,17,22,23,26,40,41,50,52,54,55,64,101,106,107
,108,109,110,130,131,132,135,136,139,160,206,215,229,331,337,338,340,414,416,
420,422,424,425,426,427,428,429,430,431,500,502,619,650,652,663,737,969,971,
977,978,979,980,981,987,988,989,993,994,997,1047,1139,1356,1361,1378,1719,1752
,1755,1759,1761,1910,2185,2186,2192,2226,2474,2905,2929,3455],[1,2,3,4,6,10,13
,14,15,19,22,23,26,42,44,45,51,62,63,64,65,101,108,109,110,130,131,132,135,136
,140,165,208,209,216,228,332,339,340,414,416,422,423,425,426,427,429,433,501,
504,505,623,651,653,664,734,968,981,982,983,984,987,988,989,997,1049,1140,1144
,1357,1362,1364,1380,1715,1753,1754,1755,1911,2187,2188,2193,2227,2473,2906,
2931,2932,3456],[1,2,3,4,5,9,12,13,14,15,16,17,22,23,24,25,26,40,41,50,52,54,
55,64,100,101,103,104,105,108,109,110,130,131,132,135,136,139,160,199,201,215,
229,237,243,244,247,336,340,420,422,424,425,426,427,428,429,430,431,435,436,
437,438,500,502,613,650,652,663,788,969,971,977,978,979,980,981,999,1000,1002,
1003,1009,1010,1011,1012,1047,1115,1117,1356,1373,1378,1381,1719,1737,1739,
1747,1750,1763,1764,1970,2185,2186,2192,2222,2502,2905,2911,2915,3457],[1,2,4,
5,9,10,11,12,13,22,24,26,28,40,50,51,57,73,74,82,100,101,135,136,139,153,168,
199,215,218,236,237,257,258,420,421,422,423,424,437,438,445,474,500,660,663,
688,968,969,970,1002,1003,1006,1007,1008,1039,1069,1115,1356,1360,1373,1374,
1720,1731,1732,1749,1750,1851,2192,2197,2218,2479,2899,2908,2915,3458],[1,2,3,
4,5,9,12,13,14,15,16,17,19,21,22,23,24,26,32,40,41,50,52,55,63,68,70,75,76,80,
81,90,100,101,110,131,132,135,136,139,162,180,199,215,232,237,243,245,266,285,
286,420,422,424,426,427,428,430,431,432,433,436,437,438,449,483,500,502,652,
656,663,700,969,973,975,977,979,982,1000,1002,1003,1016,1017,1018,1020,1022,
1051,1072,1115,1356,1373,1376,1379,1716,1734,1735,1742,1750,1764,1765,1856,
2186,2192,2202,2223,2497,2904,2912,2915,3459],[1,2,4,5,9,11,12,13,14,19,23,25,
26,32,40,50,57,63,75,81,89,103,110,132,135,136,139,153,180,201,215,218,242,247
,265,286,420,421,422,424,426,433,435,436,449,484,500,656,663,695,969,970,982,
999,1000,1020,1022,1024,1039,1072,1117,1356,1360,1376,1381,1720,1740,1742,1746
,1747,1855,2192,2202,2215,2477,2899,2911,2912,3460],[1,2,4,6,9,11,12,13,24,26,
42,49,50,57,78,82,102,135,136,141,144,216,218,238,259,420,421,422,424,437,503,
664,687,967,969,970,1004,1005,1008,1058,1358,1359,1720,1733,1751,1845,2194,
2478,2900,3461],[1,2,3,4,5,9,15,16,24,25,26,28,30,41,52,105,111,116,117,130,
131,135,139,169,202,207,333,353,357,425,435,437,502,587,625,626,842,1009,1026,
1141,1283,1343,1787,2045,2178,2901,3462],[1,2,3,4,5,10,13,16,19,21,23,25,27,30
,40,41,51,65,68,79,91,92,103,107,133,155,158,160,175,181,201,202,217,219,239,
249,264,268,476,490,491,521,523,544,612,616,657,697,1066,1185,1187,1196,1199,
1730,1927,2481,2916,3463],[1,2,4,5,10,11,12,13,19,23,24,27,40,41,51,57,65,77,
82,87,100,107,134,155,157,158,160,162,205,207,217,219,239,240,257,263,521,523,
524,571,577,578,618,620,654,689,1066,1217,1219,1228,1229,1730,1923,2480,2916,
3464],[1,2,3,4,5,10,13,14,15,19,27,28,30,32,40,41,51,62,63,64,65,137,155,158,
160,168,169,170,171,173,179,180,217,219,227,228,521,523,536,537,538,539,540,
541,556,557,662,665,1066,1122,1123,1124,1125,1730,1870,2521,2916,3465],[1,2,4,
6,9,10,12,13,19,22,23,25,26,29,35,44,50,65,73,75,76,77,103,107,108,110,130,132
,136,140,189,204,208,216,247,249,281,331,339,350,351,414,416,417,420,423,428,
429,433,436,438,446,452,505,595,651,658,661,810,971,984,989,990,994,997,1007,
1011,1017,1021,1022,1080,1118,1144,1354,1357,1362,1371,1722,1725,1752,1754,
1778,1783,1784,1915,2187,2196,2203,2212,2524,2898,2923,2931,3466],[1,2,3,4,6,
10,12,13,15,16,17,19,22,23,24,26,31,33,44,55,65,74,79,80,81,100,106,107,108,
109,110,130,131,132,135,136,140,184,200,208,216,240,243,287,338,339,346,351,
414,415,416,423,424,425,429,430,431,433,436,438,448,453,505,590,651,655,659,
811,978,984,986,988,989,993,994,997,1006,1011,1016,1019,1020,1076,1116,1144,
1352,1357,1362,1367,1724,1726,1754,1761,1777,1782,1784,1916,2187,2198,2204,
2209,2526,2897,2919,2931,3467],[1,2,3,4,6,10,12,13,15,16,17,19,22,23,25,26,31,
33,44,55,65,74,79,80,81,101,103,106,107,108,109,130,131,132,135,136,140,184,
204,209,216,244,249,287,332,338,347,350,414,416,417,423,424,425,429,430,431,
433,436,438,448,453,505,591,651,655,659,812,978,984,987,988,990,993,994,997,
1006,1011,1016,1019,1020,1076,1118,1140,1354,1357,1364,1367,1723,1725,1753,
1761,1777,1781,1783,1917,2187,2198,2204,2210,2525,2898,2919,2932,3468],[1,2,4,
5,9,10,12,13,19,22,23,25,26,28,32,40,50,65,73,75,76,77,103,107,108,110,130,132
,136,139,173,201,206,215,247,249,281,331,339,350,351,414,416,417,420,423,428,
429,433,436,438,445,449,500,593,650,656,660,810,971,984,989,990,994,997,1007,
1011,1017,1021,1022,1078,1117,1139,1353,1356,1361,1366,1722,1725,1752,1754,
1778,1783,1784,1914,2185,2197,2202,2211,2524,2896,2922,2929,3469],[1,2,4,5,9,
10,12,13,19,22,23,24,26,28,32,40,50,65,73,75,76,77,100,101,107,108,130,132,136
,139,173,199,206,215,237,240,281,331,332,346,347,414,415,416,420,423,428,429,
433,436,438,445,449,500,586,650,656,660,809,971,984,986,987,994,997,1007,1011,
1017,1021,1022,1078,1115,1139,1351,1356,1361,1366,1721,1726,1752,1753,1778,
1781,1782,1913,2185,2197,2202,2208,2527,2895,2922,2929,3470],[1,2,4,6,9,10,12,
13,19,22,23,24,26,29,35,44,50,65,73,75,76,77,100,101,107,108,130,132,136,140,
189,200,209,216,237,240,281,331,332,346,347,414,415,416,420,423,428,429,433,
436,438,446,452,505,592,651,658,661,809,971,984,986,987,994,997,1007,1011,1017
,1021,1022,1080,1116,1140,1352,1357,1364,1371,1721,1726,1752,1753,1778,1781,
1782,1912,2187,2196,2203,2213,2527,2897,2923,2932,3471],[1,2,4,5,9,10,12,13,19
,22,23,24,26,28,32,40,41,50,65,73,75,76,77,100,101,107,108,130,132,136,153,160
,162,168,173,179,180,199,201,206,207,215,237,240,281,331,332,346,347,414,415,
416,420,423,428,429,433,436,438,474,482,483,484,522,557,586,593,613,616,618,
619,650,652,656,660,663,809,971,984,986,987,994,997,1007,1011,1017,1021,1022,
1183,1191,1192,1202,1232,1243,1264,1351,1353,1360,1361,1363,1366,1370,1373,
1374,1376,1378,1379,1381,1721,1726,1752,1753,1778,1781,1782,2052,2195,2208,
2211,2215,2216,2218,2219,2220,2222,2223,2224,2225,2226,2527,2917,2933,2934,
2935,2937,2938,2939,3472],[1,2,3,4,6,15,23,24,25,26,42,44,45,96,99,105,106,117
,130,131,135,165,200,204,216,344,349,353,416,425,435,437,565,617,651,653,664,
840,985,993,1009,1014,1026,1282,1352,1354,1380,1729,1785,1787,2075,2221,2228,
2529,2940,3473],[1,4,5,6,7,8,31,32,34,41,42,46,118,119,120,121,122,123,124,125
,126,127,128,129,367,371,380,383,384,385,388,389,399,400,401,402,409,411,629,
630,631,632,633,634,635,636,637,638,639,640,641,642,1295,1298,1303,1304,1310,
1312,1313,1318,1320,1321,1325,1327,1328,1329,1790,1791,1792,1793,1794,1795,
1796,2533,2537,2544,2546,2941,3474],[1,4,5,6,7,8,32,35,38,39,46,118,119,120,
121,122,123,124,125,126,127,128,129,369,373,374,375,376,377,378,379,401,403,
404,629,630,631,632,633,634,635,636,637,638,639,640,641,642,1299,1305,1306,
1307,1308,1314,1315,1316,1790,1791,1792,1793,1794,1795,1796,2532,2542,2543,
2545,2941,3475],[1,4,5,6,7,8,31,32,34,38,39,41,42,46,118,119,120,121,122,123,
124,125,126,127,128,129,367,376,380,383,384,385,388,389,399,400,401,402,403,
404,409,629,630,631,632,633,634,635,636,637,638,639,640,641,642,1295,1299,1303
,1304,1318,1320,1321,1330,1331,1332,1333,1790,1791,1792,1793,1794,1795,1796,
2537,2539,2540,2541,2941,3476],[1,4,8,11,34,48,49,128,212,411,1335,3477],[1,2,
6,7,9,10,22,29,44,48,73,124,140,141,142,146,156,159,208,393,439,441,443,446,
447,574,861,869,1384,1569,1578,2547,3478],[1,2,5,6,8,9,10,22,29,40,48,73,121,
140,141,143,145,153,155,206,386,439,440,442,446,447,569,865,867,1383,1564,1577
,2547,3479],[1,4,5,6,8,11,24,31,41,48,78,121,144,148,157,207,388,439,440,442,
451,573,873,1383,1580,2548,3480],[1,2,3,4,5,6,16,19,22,28,29,32,33,41,45,48,80
,118,179,185,212,213,214,366,382,383,442,443,645,647,648,848,878,880,1031,1032
,1034,1035,1036,1037,1338,1382,1536,1808,1809,2229,2234,2235,2942,2943,2944,
3481],[1,2,4,5,6,8,9,19,23,32,42,44,48,75,121,139,145,156,163,209,212,214,384,
439,440,442,449,575,643,645,649,866,1027,1031,1033,1342,1383,1567,1797,1799,
1801,1804,1807,2230,2558,2564,2946,3482],[1,2,3,6,7,10,16,23,33,44,45,48,79,
124,140,146,159,166,209,213,214,394,439,441,443,453,582,644,647,649,869,1028,
1032,1033,1341,1384,1581,1798,1800,1802,1805,1807,2231,2559,2563,2945,3483],[1
,2,3,4,5,6,8,9,15,16,41,42,44,45,46,48,52,121,139,145,156,165,166,212,213,214,
409,439,440,442,502,511,526,643,646,647,866,1027,1028,1029,1033,1034,1337,1383
,1646,1797,1799,1801,1805,1806,2236,2551,2554,2560,2946,3484],[1,2,3,4,6,7,10,
15,19,42,44,45,47,48,62,124,140,146,159,163,165,212,213,214,410,439,441,443,
504,514,527,644,645,646,869,1027,1028,1030,1033,1035,1336,1384,1645,1798,1800,
1802,1804,1806,2237,2552,2555,2561,2945,3485],[1,4,5,6,8,11,41,42,46,48,49,121
,144,148,157,409,439,440,442,503,513,520,873,1335,1383,1647,2549,2550,2553,
3486],[1,2,5,6,8,9,10,22,28,44,48,73,121,139,145,156,159,208,214,387,439,440,
442,445,574,643,644,648,866,1033,1037,1339,1383,1566,1797,1798,1799,1801,1803,
2238,2557,2565,2946,3487],[1,2,6,7,9,10,22,29,44,48,73,124,140,146,156,159,208
,214,393,439,441,443,446,574,643,644,648,869,1033,1036,1339,1384,1569,1797,
1798,1800,1802,1803,2239,2556,2565,2945,3488],[1,2,3,4,9,10,11,12,13,14,15,16,
17,18,19,20,21,22,23,24,25,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,
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,
113,114,115,116,117,218,219,220,221,222,223,224,225,226,227,228,229,230,231,
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,
365,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,
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,
835,836,837,838,839,840,841,842,843,844,845,846,1387,1388,1389,1390,1391,1392,
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,
1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,2240,2241,
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,
2287,2288,2289,2290,2291,2292,2949,2950,2951,2952,2953,2954,2955,2956,2957,
2958,2959,2960,2961,2962,2963,3489],[1,2,5,6,8,9,26,28,40,44,118,120,121,130,
139,141,145,153,156,215,216,381,387,405,629,650,651,857,866,867,868,911,1038,
1317,1343,1810,2103,2567,2569,3490],[1,2,5,6,7,8,10,26,29,40,44,118,121,124,
125,126,130,140,143,146,155,159,215,216,386,393,405,631,650,651,865,869,870,
871,915,1038,1319,1344,1810,2109,2568,2570,3491],[1,2,3,4,11,15,21,26,48,49,66
,67,130,131,135,214,220,421,425,432,847,967,972,976,1335,1511,1714,2164,2964,
3492],[1,2,4,5,6,9,10,11,12,13,22,24,28,29,31,40,42,49,50,51,57,73,74,78,82,96
,100,101,102,118,139,141,144,153,168,172,199,218,236,237,238,257,258,259,316,
366,380,445,447,450,451,474,500,503,671,687,688,716,717,857,877,1039,1058,1069
,1084,1115,1388,1512,1817,1818,1845,1851,2294,2595,2965,2976,3493],[1,2,3,4,5,
6,9,11,12,13,14,19,21,23,25,32,33,35,40,45,50,57,59,63,66,75,81,84,86,89,91,94
,98,103,110,112,113,115,118,139,141,144,153,180,183,201,218,242,247,254,265,
286,294,300,312,317,324,369,382,449,457,459,460,484,500,509,675,691,695,726,
729,857,894,1039,1058,1072,1101,1117,1396,1515,1819,1824,1846,1855,2294,2599,
2966,2977,3494],[1,2,3,4,5,6,9,11,12,13,14,19,21,23,25,32,33,35,40,45,50,57,58
,63,66,75,81,83,86,89,91,95,97,103,110,112,113,115,118,139,141,144,153,180,183
,201,218,242,247,254,265,286,293,300,313,318,323,369,382,449,457,459,460,484,
500,509,676,691,695,725,728,857,894,1039,1058,1072,1100,1117,1397,1515,1819,
1824,1846,1855,2294,2600,2966,2977,3495],[1,2,3,4,5,6,9,10,11,12,13,16,21,22,
24,25,28,29,33,40,45,50,51,57,66,68,73,74,82,85,86,91,99,100,101,103,113,114,
118,139,141,144,153,168,185,199,218,236,237,254,257,258,264,300,304,328,329,
366,382,445,447,450,459,474,500,509,684,688,691,719,720,857,878,1039,1058,1069
,1092,1115,1390,1512,1818,1819,1846,1851,2294,2596,2965,2977,3496],[1,2,3,4,5,
6,9,11,12,13,14,17,19,21,23,24,25,31,32,33,35,40,42,45,49,50,57,63,66,69,75,78
,81,82,86,89,90,91,99,102,103,104,110,113,114,118,139,141,144,153,180,186,187,
201,218,238,242,247,254,259,265,273,286,300,303,305,326,329,330,369,380,382,
449,451,457,459,460,484,500,503,509,685,687,691,695,721,723,724,857,879,1039,
1058,1072,1091,1094,1117,1395,1515,1817,1819,1824,1845,1846,1855,2294,2597,
2598,2966,2976,2977,3497],[1,2,3,4,6,7,10,11,12,13,14,19,21,23,25,35,36,39,44,
47,57,59,63,65,66,77,84,86,87,89,91,94,98,103,107,112,113,115,124,140,146,150,
159,188,198,204,227,246,249,252,263,265,294,300,312,317,324,375,395,452,462,
465,470,498,505,517,675,698,706,727,732,869,900,1048,1062,1079,1107,1118,1405,
1529,1821,1827,1849,1863,2296,2602,2968,2980,3498],[1,2,3,4,6,7,10,11,12,13,14
,19,21,23,25,35,36,39,44,47,57,58,63,65,66,77,83,86,87,89,91,95,97,103,107,112
,113,115,124,140,146,150,159,188,198,204,227,246,249,252,263,265,293,300,313,
318,323,375,396,452,462,466,470,498,505,516,676,698,705,727,731,869,899,1048,
1062,1079,1106,1118,1404,1529,1820,1827,1848,1863,2296,2601,2968,2979,3499],[1
,2,3,4,6,7,10,13,14,16,18,19,21,23,24,25,33,36,44,47,58,59,63,65,68,72,79,83,
84,85,90,91,92,94,95,99,100,107,112,114,115,124,140,146,150,159,182,196,200,
227,240,246,252,266,268,293,294,310,314,315,321,322,328,370,395,396,453,461,
463,465,466,486,505,516,517,680,699,705,706,730,731,732,869,896,1048,1062,1085
,1108,1109,1116,1407,1517,1820,1821,1828,1848,1849,1859,2296,2603,2604,2969,
2979,2980,3500],[1,2,3,4,6,8,9,11,12,13,14,17,19,21,23,24,25,31,35,37,38,44,45
,46,49,50,57,63,66,69,75,78,81,82,86,89,90,91,99,102,103,104,110,113,114,120,
141,144,145,148,156,186,192,195,204,218,238,242,247,254,259,265,273,286,300,
303,305,326,329,330,378,389,392,451,457,460,469,471,472,497,507,509,513,685,
687,691,695,721,723,724,868,890,1045,1058,1059,1091,1103,1114,1119,1395,1528,
1817,1824,1825,1829,1846,1847,1867,2301,2598,2605,2972,2978,2982,3501],[1,2,3,
4,5,6,9,11,12,13,14,15,16,17,18,21,40,41,44,50,52,54,55,57,58,59,60,61,64,67,
68,69,70,118,139,141,144,153,156,157,160,162,218,222,223,224,225,226,229,232,
233,234,405,500,502,507,510,522,524,667,669,670,857,911,1039,1042,1043,1045,
1047,1051,1058,1067,1387,1642,1841,1844,1902,2294,2307,2594,2607,2984,3502],[1
,2,3,4,6,8,9,11,12,13,14,15,16,17,18,21,44,50,52,54,55,57,58,59,60,61,64,67,68
,69,70,120,141,144,145,148,152,156,218,222,223,224,225,226,229,232,233,234,507
,510,667,669,670,868,1043,1045,1058,1059,1064,1065,1387,1902,2301,2606,2607,
3503],[1,2,3,4,7,8,9,11,12,13,14,15,16,17,18,21,47,50,52,54,55,57,58,59,60,61,
64,67,68,69,70,127,145,148,149,150,152,167,218,222,223,224,225,226,229,232,233
,234,515,516,517,518,667,669,670,875,1056,1057,1059,1061,1064,1065,1387,1905,
2303,2606,2608,3504],[1,2,4,5,6,9,10,11,12,13,19,20,22,23,24,28,29,32,40,50,51
,57,65,71,73,74,75,76,77,82,87,88,100,101,107,108,118,139,141,144,153,155,168,
173,174,199,206,218,219,221,236,237,239,240,241,257,258,260,261,262,263,280,
281,282,331,332,346,347,366,381,445,447,449,450,474,479,500,528,536,569,586,
597,688,689,690,742,743,769,799,800,809,857,876,1039,1041,1058,1069,1078,1083,
1115,1139,1156,1456,1512,1562,1584,1818,1851,1852,1874,1875,1913,1934,1948,
2294,2311,2650,2965,2992,3505],[1,2,4,5,6,8,9,10,11,12,13,19,20,22,23,24,28,29
,31,32,34,35,40,42,44,50,51,57,65,71,73,74,75,76,77,82,87,88,100,101,107,108,
121,139,140,143,145,147,153,155,156,163,168,172,173,174,177,178,188,189,199,
200,206,209,218,219,221,236,237,239,240,241,257,258,260,261,262,263,280,281,
282,331,332,346,347,367,384,386,445,446,448,449,452,454,455,456,474,479,480,
481,500,501,505,528,536,551,562,569,575,586,592,597,604,688,689,690,742,743,
769,799,800,809,865,866,883,1039,1040,1041,1050,1060,1069,1070,1078,1079,1080,
1081,1082,1083,1115,1116,1139,1140,1156,1160,1456,1513,1514,1564,1567,1586,
1592,1826,1851,1852,1853,1854,1873,1874,1875,1882,1912,1913,1934,1935,1947,
1948,2295,2312,2329,2650,2651,2967,2993,2994,3506],[1,2,3,4,6,7,10,11,12,13,14
,15,16,17,19,20,21,22,23,25,31,33,35,39,44,45,54,55,56,57,62,63,65,69,70,71,74
,76,77,79,80,81,87,89,92,93,101,103,106,107,108,109,124,140,146,150,159,166,
177,183,184,186,188,204,209,227,231,234,236,241,244,246,249,261,263,265,267,
269,272,278,279,282,285,287,289,290,332,338,347,350,375,394,448,452,453,462,
470,489,498,504,505,547,555,582,591,604,694,698,702,762,763,773,800,805,812,
869,898,1048,1053,1062,1074,1076,1079,1081,1086,1118,1140,1162,1459,1529,1581,
1590,1827,1861,1863,1880,1883,1917,1935,1953,2296,2327,2657,2968,3002,3507],[1
,2,4,6,7,9,10,11,12,13,14,19,20,22,23,25,29,35,39,44,50,57,63,65,71,73,75,76,
77,81,87,89,93,103,107,108,110,124,140,146,150,156,159,188,189,195,204,208,218
,221,227,242,246,247,248,249,261,262,263,265,267,281,286,288,289,331,339,350,
351,375,393,446,452,462,470,497,498,505,551,561,574,595,609,695,698,703,742,
764,773,801,802,810,869,904,1040,1048,1062,1077,1079,1080,1118,1144,1181,1457,
1529,1569,1595,1827,1860,1863,1873,1884,1915,1938,1954,2296,2347,2656,2968,
3003,3508],[1,2,3,4,6,7,9,10,12,13,14,15,16,17,19,20,21,22,23,24,29,31,33,35,
36,44,45,50,52,55,56,62,63,65,68,70,71,73,74,75,76,77,79,80,81,87,88,90,92,100
,101,106,107,108,109,110,124,140,146,150,156,159,166,177,182,183,184,185,189,
195,200,208,209,221,227,231,232,237,240,241,243,245,246,248,260,262,266,268,
270,272,275,278,279,281,282,283,285,286,287,288,289,331,332,338,339,346,347,
351,370,393,394,446,448,452,453,461,463,480,486,487,504,505,547,552,554,561,
574,582,590,592,602,603,690,699,700,704,757,761,763,764,772,801,804,805,806,
809,811,869,897,1040,1048,1053,1062,1073,1076,1077,1080,1081,1085,1086,1116,
1140,1144,1161,1163,1461,1517,1569,1581,1590,1595,1828,1853,1859,1864,1878,
1881,1883,1884,1912,1916,1936,1937,1953,1954,2296,2325,2326,2655,2658,2969,
3002,3003,3509],[1,2,4,5,6,9,10,11,12,13,14,19,20,22,23,25,28,32,35,40,50,57,
63,65,71,73,75,76,77,81,87,89,93,103,107,108,110,118,139,141,144,153,155,173,
174,180,201,206,218,221,227,242,246,247,248,249,261,262,263,265,267,281,286,
288,289,331,339,350,351,369,381,445,449,457,460,484,485,500,528,556,569,593,
607,695,698,703,742,764,773,801,802,810,857,884,1039,1041,1058,1072,1078,1083,
1117,1139,1168,1457,1515,1562,1584,1824,1855,1858,1874,1876,1914,1939,1948,
2294,2330,2660,2966,2992,3510],[1,2,3,4,5,6,8,9,10,12,13,14,15,16,17,19,20,21,
22,23,24,28,31,32,33,34,40,41,44,50,52,55,56,62,63,65,68,70,71,73,74,75,76,77,
79,80,81,87,88,90,92,100,101,106,107,108,109,110,121,139,140,143,145,147,155,
156,159,162,173,174,177,179,180,182,184,190,199,200,206,208,221,227,231,232,
237,240,241,243,245,246,248,260,262,266,268,270,272,275,278,279,281,282,283,
285,286,287,288,289,331,332,338,339,346,347,351,367,387,388,445,448,449,453,
454,455,456,479,480,483,486,500,502,505,547,552,556,560,574,576,586,590,602,
607,690,699,700,704,757,761,763,764,772,801,804,805,806,809,811,865,866,891,
1040,1041,1048,1051,1060,1071,1072,1076,1078,1081,1083,1085,1089,1115,1116,
1139,1144,1161,1167,1461,1513,1514,1566,1571,1588,1593,1826,1852,1853,1856,
1859,1876,1878,1883,1889,1913,1916,1937,1939,1954,1955,2295,2322,2331,2655,
2661,2967,3000,3001,3511],[1,2,4,5,6,8,9,10,11,12,13,14,19,20,22,23,25,28,29,
32,35,38,40,44,50,57,63,65,71,73,75,76,77,81,87,89,93,103,107,108,110,121,139,
140,143,145,147,153,155,156,159,173,174,180,188,189,195,201,204,206,208,218,
221,227,242,246,247,248,249,261,262,263,265,267,281,286,288,289,331,339,350,
351,379,386,387,445,446,449,452,464,468,471,484,485,497,498,500,505,528,551,
556,561,569,574,593,595,607,609,695,698,703,742,764,773,801,802,810,865,866,
906,1039,1040,1041,1048,1060,1072,1077,1078,1079,1080,1083,1117,1118,1139,1144
,1168,1181,1457,1518,1526,1564,1566,1592,1593,1830,1855,1858,1860,1863,1873,
1874,1876,1884,1914,1915,1938,1939,1948,1954,2295,2332,2345,2656,2660,2970,
2993,3000,3512],[1,2,3,4,5,6,8,9,10,12,13,15,16,17,19,20,21,22,23,25,28,31,32,
33,35,38,40,41,42,44,50,51,52,55,56,62,65,68,70,71,73,74,75,76,77,79,80,81,87,
91,92,93,101,103,106,107,108,109,110,121,139,140,143,145,147,155,156,162,163,
168,173,174,178,179,182,184,187,190,195,201,204,206,209,219,221,231,232,239,
241,244,245,247,248,249,258,262,264,267,268,270,272,275,278,279,280,281,282,
283,284,287,288,331,332,338,339,347,350,351,379,384,388,445,448,449,452,453,
464,468,471,482,485,488,497,500,501,502,505,536,550,552,560,575,576,591,593,
597,603,697,701,702,703,743,757,761,765,774,799,803,804,806,810,812,865,866,
892,1040,1041,1050,1051,1060,1069,1071,1075,1076,1077,1078,1082,1083,1085,1089
,1117,1118,1139,1140,1166,1169,1460,1518,1526,1567,1571,1586,1588,1830,1857,
1858,1860,1862,1875,1878,1886,1889,1914,1917,1934,1936,1947,1955,2295,2323,
2333,2652,2659,2970,2994,3001,3513],[1,2,4,6,7,9,10,11,12,13,14,19,20,22,23,25
,29,35,39,44,50,57,63,65,71,73,75,76,77,81,87,89,93,103,107,108,110,124,140,
141,142,146,151,156,159,188,189,195,204,208,218,221,227,242,246,247,248,249,
261,262,263,265,267,281,286,288,289,331,339,350,351,375,393,446,447,452,457,
467,470,473,497,498,505,507,551,561,574,595,609,695,698,703,742,764,773,801,
802,810,861,869,904,1040,1045,1046,1048,1063,1077,1079,1080,1098,1103,1104,
1118,1119,1142,1144,1181,1457,1522,1529,1569,1578,1595,1601,1831,1860,1863,
1866,1867,1873,1884,1890,1891,1915,1918,1938,1942,1950,1954,2297,2347,2349,
2656,2662,2974,2997,2999,3514],[1,2,3,4,5,7,8,9,10,12,13,15,16,17,19,20,21,22,
23,25,28,32,34,37,38,39,40,41,43,46,50,51,52,55,56,62,65,68,70,71,73,74,75,76,
77,79,80,81,87,91,92,93,101,103,106,107,108,109,110,125,139,142,143,146,151,
154,155,162,164,168,173,174,179,190,191,192,193,194,197,201,203,206,210,219,
221,231,232,239,241,244,245,247,248,249,258,262,264,267,268,270,272,275,278,
279,280,281,282,283,284,287,288,331,332,338,339,347,350,351,376,401,402,445,
449,454,458,464,467,470,473,482,485,496,499,500,502,506,508,536,558,560,564,
576,580,593,596,597,610,697,701,702,703,743,757,761,765,774,799,803,804,806,
810,812,860,871,910,1041,1044,1051,1052,1063,1069,1071,1078,1083,1089,1095,
1096,1097,1105,1111,1117,1120,1139,1143,1169,1182,1460,1519,1531,1570,1572,
1594,1599,1831,1857,1858,1868,1869,1875,1889,1896,1898,1914,1919,1934,1941,
1951,1955,2298,2338,2348,2659,2663,2973,2996,2998,3515],[1,2,4,5,6,8,9,10,11,
12,13,14,19,20,22,23,25,28,29,32,35,38,40,44,50,57,63,65,71,73,75,76,77,81,87,
89,93,103,107,108,110,121,139,141,145,148,153,155,156,159,173,174,180,188,189,
195,201,204,206,208,218,221,227,242,246,247,248,249,261,262,263,265,267,281,
286,288,289,331,339,350,351,379,386,387,445,447,449,457,471,472,484,485,497,
498,500,507,528,551,556,561,569,574,593,595,607,609,695,698,703,742,764,773,
801,802,810,866,867,906,1039,1041,1045,1046,1059,1072,1078,1083,1098,1103,1104
,1117,1119,1139,1142,1168,1181,1457,1526,1527,1566,1577,1592,1602,1829,1855,
1858,1866,1867,1874,1876,1890,1891,1914,1918,1939,1942,1948,1950,2300,2345,
2346,2660,2662,2971,2995,3004,3516],[1,2,4,5,6,9,10,11,12,13,22,23,24,28,29,40
,50,51,57,73,74,82,100,101,107,116,118,139,141,144,153,168,199,218,236,237,239
,257,258,352,366,445,447,450,474,500,688,718,778,849,857,1039,1058,1069,1115,
1446,1512,1818,1851,2294,2965,3517],[1,2,4,5,6,9,11,12,13,14,19,23,25,32,35,40
,50,57,63,75,81,89,103,110,112,117,118,139,141,144,153,180,201,218,242,247,252
,265,286,355,369,449,457,460,484,500,695,727,779,852,857,1039,1058,1072,1117,
1453,1515,1824,1855,2294,2966,3518],[1,2,4,6,7,10,11,12,13,14,19,23,25,35,39,
44,57,63,65,77,87,89,103,107,113,117,124,140,146,150,159,188,204,227,246,249,
254,263,265,355,375,452,462,470,498,505,698,726,779,855,869,1048,1062,1079,
1118,1451,1529,1827,1863,2296,2968,3519],[1,2,4,6,7,10,11,12,13,14,19,23,25,35
,39,44,57,63,65,77,87,89,103,107,113,117,124,140,146,150,159,188,204,227,246,
249,254,263,265,355,375,452,462,470,498,505,698,725,779,856,869,1048,1062,1079
,1118,1452,1529,1827,1863,2296,2968,3520],[1,2,3,4,5,6,8,9,11,12,13,14,15,16,
17,18,21,40,41,44,50,52,54,55,57,58,59,60,61,64,67,68,69,70,121,139,141,144,
145,148,152,153,156,157,160,162,218,222,223,224,225,226,229,232,233,234,500,
502,507,510,522,524,667,669,670,866,867,873,1039,1042,1043,1045,1047,1051,1058
,1059,1064,1065,1067,1387,1841,1844,1902,2300,2302,2350,2594,2606,2607,3521],[
1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,19,21,22,23,24,25,28,29,32,35,40,41,44,
50,51,52,54,55,57,62,63,64,65,67,68,69,70,73,74,75,76,77,79,80,81,82,89,90,91,
100,101,103,104,105,108,109,110,118,139,141,144,153,160,162,168,173,179,180,
189,199,201,218,228,229,232,233,234,236,237,242,243,244,245,247,257,258,264,
265,266,273,274,281,283,284,285,286,287,290,336,340,366,369,405,445,447,449,
450,457,460,474,482,483,484,500,502,507,510,522,557,613,667,688,694,695,696,
700,701,756,767,784,788,857,918,1039,1047,1051,1058,1069,1071,1072,1078,1090,
1098,1115,1117,1202,1432,1512,1515,1642,1818,1824,1841,1851,1855,1856,1857,
1877,1902,1970,2294,2407,2623,2688,2965,2966,2984,3522],[1,2,3,4,5,6,9,11,12,
13,14,15,16,17,19,20,21,23,25,32,35,40,41,44,50,52,53,54,55,56,57,63,64,67,68,
69,70,71,75,81,87,89,92,94,95,103,106,107,110,111,112,118,139,141,144,153,160,
162,174,180,188,190,201,218,229,230,232,233,234,242,247,250,251,262,265,269,
271,272,275,286,295,296,299,334,337,369,405,449,457,460,484,494,500,502,507,
510,522,559,616,667,695,707,710,752,760,789,794,857,919,1039,1047,1051,1058,
1072,1083,1089,1099,1104,1117,1208,1424,1515,1642,1824,1841,1855,1865,1888,
1902,1971,2294,2408,2622,2691,2966,2984,3523],[1,2,3,4,6,7,10,11,12,13,14,15,
16,17,19,21,23,24,25,33,35,36,39,42,44,45,47,51,55,57,62,63,64,65,67,68,69,70,
77,79,82,87,89,90,91,92,100,103,104,105,106,107,110,124,140,146,150,159,163,
165,182,183,187,188,198,200,204,219,227,228,233,239,240,246,249,257,263,264,
265,266,268,271,273,274,279,284,336,337,370,375,410,452,453,461,462,463,470,
481,486,488,498,501,504,505,514,515,527,553,617,665,689,697,698,699,756,759,
785,787,869,928,1048,1049,1050,1062,1075,1079,1085,1086,1112,1113,1116,1118,
1216,1431,1517,1529,1645,1827,1828,1843,1854,1859,1862,1863,1879,1903,1972,
2296,2410,2624,2693,2968,2969,2985,3524],[1,2,3,4,5,6,8,9,10,12,13,14,15,16,17
,19,20,22,23,24,25,31,32,34,35,38,40,41,42,44,45,46,50,51,52,53,54,55,56,62,63
,64,65,71,74,75,76,77,81,87,88,92,93,100,101,103,104,105,106,107,108,109,110,
121,139,140,143,145,147,155,156,160,165,166,174,177,178,180,186,190,195,197,
199,200,201,204,221,228,229,230,231,237,240,241,243,244,247,248,249,260,262,
267,269,271,272,275,276,277,280,282,286,288,289,290,336,337,340,367,379,409,
448,449,452,454,455,456,464,468,471,479,480,485,487,489,497,500,501,502,504,
505,508,511,512,521,526,548,559,613,617,668,690,702,703,704,755,760,766,786,
787,788,865,866,927,1040,1041,1047,1049,1053,1060,1072,1074,1077,1081,1082,
1083,1087,1088,1089,1111,1115,1116,1117,1118,1203,1215,1433,1513,1514,1518,
1526,1644,1646,1826,1830,1840,1842,1852,1853,1858,1860,1861,1864,1885,1888,
1904,1970,1972,2295,2409,2412,2625,2687,2692,2967,2970,2986,3525],[1,2,3,4,5,6
,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,28,29,30,31,32,33,34,35,37,40,41,
42,43,44,45,50,51,52,53,54,55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,76,77,
79,80,81,87,92,101,106,107,108,109,110,121,140,143,153,154,155,156,157,158,160
,161,162,165,166,168,169,170,171,172,173,174,175,176,179,180,181,182,183,184,
185,186,187,188,189,190,191,193,199,201,205,206,218,221,228,229,230,231,232,
233,234,258,261,262,263,268,269,270,271,272,275,278,279,281,283,284,285,286,
287,290,331,337,338,340,367,372,384,386,390,391,408,446,448,452,453,454,458,
474,475,476,477,479,482,483,484,491,494,501,504,505,506,522,523,524,525,526,
528,529,530,531,532,533,534,535,536,537,538,539,541,543,544,545,546,549,551,
552,553,554,555,557,558,559,560,569,570,571,572,578,583,584,585,586,589,597,
598,599,600,605,613,616,620,621,667,668,737,742,757,758,759,760,761,762,767,
865,883,886,887,888,905,914,921,922,933,938,940,944,1040,1044,1049,1053,1067,
1068,1070,1073,1074,1075,1076,1079,1080,1085,1086,1095,1105,1123,1126,1127,
1128,1129,1130,1131,1132,1133,1134,1137,1145,1146,1147,1148,1149,1150,1151,
1156,1170,1172,1173,1174,1175,1176,1178,1183,1198,1199,1201,1202,1206,1207,
1208,1212,1219,1220,1221,1223,1237,1238,1239,1240,1248,1249,1250,1253,1417,
1513,1516,1553,1564,1565,1586,1587,1620,1636,1637,1638,1643,1670,1673,1842,
1871,1872,1873,1878,1879,1880,1881,1887,1896,1920,1930,1932,1943,1944,1995,
1996,1997,1998,1999,2000,2001,2005,2308,2312,2316,2317,2318,2336,2356,2388,
2390,2402,2404,2415,2419,2612,2664,2988,3009,3016,3036,3041,3042,3043,3526],[1
,2,3,4,5,6,9,10,11,12,13,14,15,16,17,19,20,21,22,23,28,29,30,32,35,40,41,44,50
,51,52,53,54,55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,87,92
,101,106,107,108,109,110,118,139,141,153,155,156,157,158,160,161,162,168,169,
170,171,173,174,175,176,179,180,181,188,189,190,199,201,205,206,218,221,228,
229,230,231,232,233,234,258,261,262,263,268,269,270,271,272,275,278,279,281,
283,284,285,286,287,290,331,337,338,340,366,369,381,383,405,445,447,449,457,
474,475,476,477,479,482,483,484,491,494,500,502,507,522,523,524,525,528,529,
530,531,532,533,534,535,536,537,538,539,541,543,544,545,546,551,557,559,560,
569,570,571,572,578,583,584,585,586,589,597,598,599,600,605,613,616,620,621,
667,668,737,742,757,758,759,760,761,762,767,857,876,880,881,895,911,918,919,
942,945,1039,1045,1047,1051,1067,1068,1069,1071,1072,1078,1083,1089,1098,1104,
1123,1126,1127,1128,1129,1130,1131,1132,1133,1137,1145,1146,1147,1148,1149,
1150,1151,1156,1170,1172,1173,1174,1175,1176,1178,1183,1198,1199,1201,1202,
1206,1207,1208,1212,1219,1220,1221,1223,1237,1238,1239,1240,1248,1249,1250,
1253,1417,1512,1515,1552,1562,1563,1584,1585,1626,1627,1628,1642,1669,1841,
1871,1872,1874,1877,1888,1889,1891,1920,1930,1932,1943,1944,1995,1996,1997,
1998,1999,2000,2001,2005,2307,2311,2313,2314,2315,2334,2354,2389,2393,2407,
2408,2413,2417,2610,2664,2990,3007,3014,3031,3032,3033,3044,3527],[1,2,3,4,5,6
,9,10,12,13,14,15,16,17,19,20,22,23,28,29,30,32,35,40,41,44,50,51,52,53,54,55,
56,62,63,64,65,71,73,74,75,76,77,79,80,81,101,108,109,110,118,139,141,153,155,
158,159,160,161,162,168,169,170,171,173,174,175,176,179,180,189,190,195,199,
201,205,206,219,221,227,228,229,230,231,258,280,281,282,283,284,285,286,287,
288,289,290,332,339,340,366,369,381,383,405,445,447,449,457,474,475,476,477,
478,479,482,483,484,485,500,502,507,521,522,523,525,528,529,530,531,532,533,
534,535,536,537,538,539,540,541,556,557,559,560,561,569,570,571,572,576,583,
584,585,586,593,597,598,599,600,607,613,615,619,621,665,668,734,743,763,764,
765,766,767,857,876,880,881,884,915,918,924,930,945,1041,1046,1047,1066,1068,
1069,1071,1072,1078,1098,1103,1122,1123,1124,1125,1126,1130,1131,1132,1133,
1138,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1167,1168,
1169,1184,1202,1203,1209,1210,1211,1212,1213,1214,1222,1223,1224,1225,1240,
1241,1242,1243,1251,1252,1253,1254,1414,1512,1515,1554,1562,1563,1584,1585,
1617,1628,1629,1642,1672,1840,1870,1872,1875,1876,1877,1890,1921,1931,1933,
1945,1946,2002,2003,2004,2005,2006,2007,2008,2009,2309,2311,2313,2314,2315,
2330,2352,2387,2393,2403,2407,2413,2418,2609,2665,2989,3008,3015,3044,3045,
3046,3047,3528],[1,2,3,4,5,6,8,9,10,12,13,14,15,16,17,19,20,22,23,28,29,30,31,
32,33,34,35,37,38,40,41,42,43,44,45,46,50,51,52,53,54,55,56,62,63,64,65,71,73,
74,75,76,77,79,80,81,101,108,109,110,121,140,143,153,155,158,159,160,161,162,
163,164,165,168,169,170,171,172,173,174,175,176,177,178,179,180,184,185,186,
187,189,190,191,192,194,195,197,199,201,205,206,219,221,227,228,229,230,231,
258,280,281,282,283,284,285,286,287,288,289,290,332,339,340,367,372,379,384,
386,387,388,390,391,408,409,446,448,452,453,454,458,464,474,475,476,477,478,
479,482,483,484,485,501,504,505,506,508,521,522,523,525,527,528,529,530,531,
532,533,534,535,536,537,538,539,540,541,547,548,549,550,556,557,559,560,561,
562,564,569,570,571,572,576,583,584,585,586,593,597,598,599,600,607,613,615,
619,621,665,668,734,743,763,764,765,766,767,865,883,885,886,887,888,889,891,
892,903,906,916,922,923,926,927,931,933,935,936,937,938,946,947,1048,1049,1050
,1052,1066,1068,1070,1073,1074,1075,1076,1077,1080,1081,1082,1095,1096,1097,
1111,1122,1123,1124,1125,1126,1130,1131,1132,1133,1135,1138,1145,1146,1147,
1148,1149,1150,1151,1152,1153,1154,1155,1156,1167,1168,1169,1184,1202,1203,
1209,1210,1211,1212,1213,1214,1222,1223,1224,1225,1240,1241,1242,1243,1251,
1252,1253,1254,1414,1513,1516,1518,1555,1564,1565,1571,1586,1587,1593,1619,
1620,1621,1622,1624,1625,1634,1639,1643,1644,1675,1676,1843,1870,1872,1882,
1883,1884,1885,1886,1887,1898,1921,1931,1933,1945,1946,2002,2003,2004,2005,
2006,2007,2008,2009,2310,2312,2316,2317,2318,2319,2320,2321,2331,2332,2333,
2357,2390,2391,2392,2394,2404,2405,2406,2409,2414,2415,2416,2420,2611,2665,
2991,3010,3017,3034,3035,3036,3037,3038,3039,3040,3048,3529],[1,2,3,4,5,6,8,9,
11,12,13,14,15,16,17,21,24,25,28,30,31,32,33,37,40,41,44,49,50,52,54,55,57,64,
66,67,68,69,70,78,82,85,86,89,90,91,102,105,113,114,121,141,144,145,148,153,
157,160,162,169,170,171,173,174,175,176,181,184,202,207,218,220,229,232,233,
234,238,254,255,259,274,300,301,302,303,304,305,343,372,387,388,451,459,469,
490,492,495,507,510,520,522,524,528,529,531,532,533,539,542,543,544,545,546,
573,577,587,594,601,606,614,622,667,687,691,692,693,768,796,867,873,885,1058,
1059,1067,1093,1121,1127,1128,1129,1130,1157,1158,1159,1180,1190,1204,1205,
1226,1233,1244,1255,1265,1427,1532,1580,1602,1603,1817,1819,1825,1871,1902,
1922,1926,1965,1980,1989,2010,2344,2350,2617,2666,3011,3018,3021,3530],[1,2,3,
4,5,6,8,9,10,11,12,13,14,15,16,17,19,21,22,23,24,25,28,29,30,32,35,38,40,41,44
,50,51,52,54,55,57,62,63,64,65,67,68,69,70,73,74,75,76,77,79,80,81,82,89,90,91
,100,101,103,104,105,108,109,110,121,141,144,145,148,153,155,157,160,162,169,
170,171,173,174,175,176,180,181,189,201,202,206,207,218,228,229,232,233,234,
236,237,242,243,244,245,247,257,258,264,265,266,273,274,281,283,284,285,286,
287,290,336,340,379,386,387,447,450,457,460,471,472,476,478,484,485,490,492,
507,510,521,522,524,528,529,531,532,533,538,539,540,543,544,545,546,556,569,
576,577,584,587,588,593,600,606,607,612,615,618,619,667,688,694,695,696,700,
701,756,767,784,788,867,873,906,1058,1059,1067,1090,1098,1122,1127,1128,1129,
1130,1146,1152,1154,1168,1179,1180,1186,1188,1196,1197,1209,1213,1217,1225,
1231,1232,1236,1242,1247,1252,1258,1259,1261,1432,1527,1533,1577,1579,1602,
1603,1818,1824,1829,1871,1902,1925,1928,1961,1962,1975,1978,1982,1984,1993,
2008,2335,2346,2350,2623,2667,3012,3019,3021,3531],[1,2,3,4,5,7,8,9,10,12,13,
14,15,16,17,19,20,22,23,24,25,28,30,32,34,38,39,40,41,46,50,51,52,53,54,55,56,
62,63,64,65,71,74,75,76,77,81,87,88,92,93,100,101,103,104,105,106,107,108,109,
110,125,142,143,145,146,147,151,153,155,158,160,161,162,168,169,170,171,173,
174,175,176,179,180,190,197,201,202,205,206,207,221,228,229,230,231,237,240,
241,243,244,247,248,249,260,262,267,269,271,272,275,276,277,280,282,286,288,
289,290,336,337,340,376,401,402,454,455,456,464,467,468,470,471,473,477,478,
482,484,485,491,493,494,508,511,512,522,523,525,528,529,530,531,532,533,534,
535,536,537,538,539,541,557,559,560,570,572,576,578,579,584,585,587,588,589,
593,597,599,605,607,608,612,615,616,618,619,620,668,690,702,703,704,755,760,
766,786,787,788,862,871,874,910,1060,1063,1068,1087,1088,1111,1123,1126,1130,
1131,1132,1133,1150,1151,1154,1155,1169,1171,1173,1175,1176,1177,1187,1188,
1189,1200,1201,1208,1210,1211,1218,1221,1222,1229,1230,1232,1236,1237,1242,
1246,1248,1254,1257,1258,1260,1261,1263,1264,1433,1523,1531,1534,1570,1575,
1576,1594,1596,1600,1826,1830,1831,1872,1904,1924,1929,1962,1963,1964,1976,
1977,1981,1983,1985,1986,1994,1996,2006,2337,2339,2348,2351,2625,2669,3013,
3020,3022,3532],[1,2,3,4,5,6,9,11,12,13,14,15,16,17,21,24,25,31,33,40,41,42,44
,45,49,50,52,54,55,57,64,66,67,68,69,70,78,82,85,86,89,90,91,102,105,113,114,
118,139,141,144,153,160,162,165,184,218,220,229,232,233,234,238,254,255,259,
274,300,301,302,303,304,305,343,380,382,405,451,459,500,502,503,507,509,510,
522,667,687,691,692,693,768,796,857,939,1039,1047,1051,1055,1058,1093,1427,
1642,1817,1819,1841,1845,1846,1902,2294,2617,2715,2976,2977,2984,3533],[1,2,3,
4,5,6,9,11,12,13,14,15,16,17,18,21,25,33,40,41,44,45,50,52,54,55,57,60,64,66,
67,68,69,70,72,83,84,86,91,94,95,111,113,115,118,139,141,144,153,160,162,166,
182,218,229,232,233,234,235,254,256,297,300,307,308,309,310,311,341,382,405,
459,500,502,507,509,510,522,667,691,713,714,747,797,857,943,1039,1047,1051,
1054,1058,1102,1428,1642,1819,1841,1846,1902,2294,2618,2716,2977,2984,3534],[1
,2,3,4,6,7,10,13,14,15,16,18,19,21,25,36,42,44,45,47,51,58,59,60,62,63,64,65,
68,91,94,95,103,111,112,124,140,146,150,159,163,165,167,196,219,223,227,228,
252,264,293,294,295,297,334,395,396,410,465,466,501,504,505,514,515,516,517,
527,665,705,706,751,790,869,950,1048,1049,1050,1057,1062,1110,1421,1645,1820,
1821,1843,1848,1849,1903,2296,2619,2717,2979,2980,2985,3535],[1,2,3,4,5,6,9,11
,12,13,14,15,16,17,21,22,23,24,25,40,41,44,50,52,54,55,57,64,67,68,69,70,100,
101,103,104,105,106,107,108,109,110,111,112,118,139,141,144,153,160,162,199,
201,206,207,218,229,232,233,234,237,243,244,247,251,331,333,334,335,336,337,
338,340,405,500,502,507,510,522,613,616,618,619,667,735,737,788,791,792,794,
857,955,1039,1047,1051,1058,1115,1117,1139,1141,1183,1232,1419,1642,1841,1902,
1908,1910,1970,1971,2294,2398,2400,2614,2643,2984,3536],[1,2,3,4,5,6,9,10,11,
12,13,14,15,16,17,19,20,21,22,23,28,32,40,41,44,50,51,52,53,54,55,56,57,62,63,
64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,87,92,101,106,107,108,109,110,118
,139,141,144,153,155,160,162,168,173,174,179,180,190,206,218,221,228,229,230,
231,232,233,234,258,261,262,263,268,269,270,271,272,275,278,279,281,283,284,
285,286,287,290,331,337,338,340,381,405,445,449,500,502,507,510,521,522,528,
557,559,560,569,576,619,667,668,737,742,757,758,759,760,761,762,767,857,930,
1039,1041,1047,1051,1058,1069,1071,1072,1078,1083,1089,1126,1139,1225,1417,
1562,1584,1642,1840,1841,1874,1877,1888,1889,1902,1910,1948,1955,2294,2387,
2418,2610,2640,2984,2992,3537],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,19,20,
21,22,23,29,31,33,35,40,41,42,44,45,46,50,51,52,53,54,55,56,57,62,63,64,65,67,
68,69,70,71,73,74,75,76,77,79,80,81,87,92,101,106,107,108,109,110,121,139,140,
143,145,147,153,155,156,160,162,165,166,172,182,183,184,185,186,187,188,189,
206,218,221,228,229,230,231,232,233,234,258,261,262,263,268,269,270,271,272,
275,278,279,281,283,284,285,286,287,290,331,337,338,340,386,388,409,446,448,
452,453,500,501,502,504,505,508,511,512,521,522,526,549,551,552,553,554,555,
569,576,619,667,668,737,742,757,758,759,760,761,762,767,865,866,946,1039,1040,
1041,1047,1049,1051,1053,1060,1070,1073,1074,1075,1076,1079,1080,1085,1086,
1134,1139,1225,1417,1564,1571,1588,1592,1644,1646,1840,1841,1842,1873,1878,
1879,1880,1881,1887,1904,1910,1948,1955,2295,2394,2421,2612,2640,2986,2993,
3001,3538],[1,2,3,4,5,6,8,9,10,12,13,14,15,16,17,19,20,22,23,28,32,40,41,42,44
,45,46,50,51,52,53,54,55,56,62,63,64,65,71,73,74,75,76,77,79,80,81,101,108,109
,110,121,139,140,143,145,147,155,156,159,160,163,165,166,168,173,179,180,208,
209,219,221,227,228,229,230,231,258,280,281,282,283,284,285,286,287,288,289,
290,332,339,340,384,387,409,445,449,500,501,502,504,505,508,511,512,521,526,
527,536,556,557,574,575,581,582,623,665,668,734,743,763,764,765,766,767,865,
866,947,1040,1041,1047,1048,1049,1050,1053,1060,1069,1071,1072,1078,1125,1140,
1144,1227,1414,1566,1567,1586,1593,1644,1646,1840,1842,1843,1875,1876,1877,
1904,1911,1947,1952,1953,1954,2295,2395,2420,2609,2641,2986,2994,3000,3539],[1
,2,3,4,6,7,9,10,12,13,14,15,16,17,19,20,22,23,29,31,33,35,42,44,45,47,50,51,52
,53,54,55,56,62,63,64,65,71,73,74,75,76,77,79,80,81,101,108,109,110,124,140,
146,150,156,159,163,165,166,172,177,178,184,185,186,187,189,195,208,209,219,
221,227,228,229,230,231,258,280,281,282,283,284,285,286,287,288,289,290,332,
339,340,393,394,410,446,448,452,453,501,504,505,514,515,526,527,547,548,549,
550,561,562,574,575,581,582,623,665,668,734,743,763,764,765,766,767,869,949,
1040,1048,1049,1050,1053,1062,1070,1073,1074,1075,1076,1077,1080,1081,1082,
1135,1140,1144,1227,1414,1569,1581,1590,1595,1645,1842,1843,1882,1883,1884,
1885,1886,1887,1903,1911,1947,1952,1953,1954,2296,2396,2422,2611,2641,2985,
3002,3003,3540],[1,2,3,4,5,6,8,9,11,12,13,14,15,16,17,18,21,24,25,29,31,33,35,
40,41,42,44,45,46,49,50,52,54,55,57,58,59,60,61,64,66,67,68,69,70,72,78,82,83,
84,85,86,89,90,91,94,95,102,105,111,113,114,115,121,139,144,145,148,152,156,
157,160,162,165,166,172,182,183,184,185,186,187,188,189,207,220,222,223,225,
226,229,232,233,235,259,274,296,297,298,300,301,302,303,304,305,306,307,308,
309,310,311,312,313,314,315,333,341,342,343,386,388,409,450,451,459,460,500,
502,503,509,510,511,513,519,520,524,526,549,551,552,553,554,555,573,577,622,
666,669,736,744,745,746,747,748,749,753,768,866,873,946,1042,1043,1047,1051,
1054,1055,1064,1084,1090,1091,1092,1093,1094,1099,1100,1101,1102,1134,1141,
1226,1416,1579,1580,1588,1592,1646,1647,1838,1839,1844,1892,1893,1894,1895,
1897,1899,1906,1909,1949,1956,2302,2397,2421,2613,2639,2987,3005,3006,3541],[1
,2,3,4,5,6,8,10,11,12,13,14,15,16,17,21,23,24,25,30,32,33,35,37,38,40,41,42,46
,49,51,54,55,57,69,70,77,78,79,82,86,89,96,100,102,110,113,121,140,143,144,148
,155,157,160,162,170,171,174,175,176,181,187,192,201,202,207,234,242,243,254,
255,257,259,284,303,316,372,379,409,452,453,458,459,460,464,469,472,476,485,
492,495,501,503,508,513,520,521,524,531,532,545,546,565,566,573,577,611,614,
615,618,622,671,693,696,719,721,865,873,923,1075,1094,1097,1114,1128,1186,1190
,1205,1209,1217,1226,1258,1265,1271,1392,1516,1518,1532,1533,1644,1647,1689,
1832,1833,1907,1982,1989,1991,1992,2406,2411,2592,2593,2628,3023,3542],[1,2,4,
5,6,8,10,11,12,13,19,23,24,28,32,40,41,42,44,46,49,51,57,65,77,78,82,87,96,100
,102,107,121,140,143,144,148,155,157,160,162,163,168,173,179,180,201,207,219,
239,240,257,259,263,316,384,387,409,482,494,501,503,505,508,513,520,521,524,
536,556,557,565,566,573,577,611,616,618,622,671,689,718,865,873,947,1050,1125,
1185,1206,1217,1226,1264,1271,1389,1586,1593,1644,1647,1689,1832,1833,1907,
1988,1990,2420,2627,2629,3023,3543],[1,2,4,5,6,8,10,11,12,13,19,20,22,23,24,31
,35,40,41,42,46,49,51,57,71,74,76,77,78,82,87,88,96,100,102,108,116,121,140,
143,144,148,155,157,158,160,161,162,178,205,206,207,257,259,260,261,280,316,
346,352,358,362,388,390,409,448,452,501,503,508,513,520,521,524,525,565,566,
571,572,573,576,577,578,579,611,618,621,622,626,671,769,778,813,821,865,873,
936,1082,1217,1218,1220,1224,1226,1234,1271,1272,1275,1279,1287,1435,1565,1571
,1644,1647,1689,1832,1833,1907,1969,2018,2040,2057,2392,2467,2631,2676,3023,
3544],[1,2,3,4,5,6,8,10,11,12,13,14,15,16,17,19,21,24,25,28,30,32,40,41,42,44,
45,46,49,51,55,57,62,63,64,65,66,67,68,69,70,78,82,85,86,89,90,91,96,99,100,
102,103,104,105,113,114,121,140,143,144,148,155,157,160,162,165,169,170,171,
173,175,176,180,181,202,207,220,228,233,257,259,264,265,266,273,274,300,301,
302,303,304,305,316,326,327,328,329,330,336,343,344,387,391,409,490,492,495,
501,503,504,505,508,509,510,513,520,521,524,533,538,539,540,542,543,544,545,
546,556,565,566,573,577,587,588,594,601,606,611,612,614,618,622,624,671,684,
685,686,756,768,829,865,873,935,1049,1055,1121,1122,1129,1136,1157,1158,1159,
1179,1180,1196,1197,1204,1205,1217,1226,1236,1244,1247,1255,1267,1268,1269,
1271,1273,1274,1282,1408,1587,1593,1603,1604,1644,1647,1689,1832,1833,1907,
1966,1967,1993,2010,2039,2059,2416,2423,2466,2626,2645,3023,3545],[1,2,4,5,6,8
,9,10,11,12,13,22,24,29,31,40,41,42,46,49,50,51,57,73,74,78,82,96,100,101,102,
121,140,143,144,148,153,155,157,160,162,172,206,207,218,236,237,238,257,258,
259,316,386,388,409,446,448,450,451,501,503,508,513,520,521,522,524,565,566,
569,573,576,577,611,618,619,622,671,687,688,716,717,865,873,946,1067,1070,1084
,1217,1225,1226,1231,1232,1233,1271,1388,1564,1571,1579,1580,1644,1647,1689,
1832,1833,1907,1922,1925,1957,1958,2394,2397,2591,2616,3023,3546],[1,2,4,5,6,8
,10,11,12,13,19,23,24,40,41,42,43,44,46,49,51,57,65,77,78,82,87,96,100,102,107
,121,140,143,144,148,155,157,158,160,162,163,164,205,207,219,239,240,257,259,
263,316,408,409,501,503,505,506,508,513,520,521,523,524,565,566,571,573,577,
578,611,618,620,622,671,689,718,865,873,916,1050,1052,1066,1217,1219,1226,1228
,1229,1271,1389,1643,1644,1647,1689,1832,1833,1907,1923,1959,2310,2615,2629,
2630,3023,3547],[1,2,4,5,6,8,10,11,12,13,19,20,22,23,24,31,32,34,35,38,40,41,
42,46,49,51,57,71,74,76,77,78,82,87,88,96,100,102,108,116,121,140,143,144,148,
155,157,160,162,174,178,180,190,197,199,201,207,257,259,260,261,280,316,346,
352,358,362,367,379,409,448,452,454,464,479,483,485,494,501,503,508,513,520,
521,524,559,565,566,573,577,608,611,613,618,622,625,671,769,778,813,821,865,
873,927,1082,1111,1191,1203,1207,1217,1226,1246,1270,1271,1275,1276,1280,1288,
1435,1513,1518,1644,1647,1689,1832,1833,1907,1973,2017,2032,2060,2409,2455,
2631,2632,2706,3023,3548],[1,2,3,4,8,9,11,12,13,14,15,16,17,18,21,50,52,54,55,
57,58,59,60,61,64,67,68,69,70,129,145,148,152,218,222,223,224,225,226,229,232,
233,234,667,669,670,1059,1064,1065,1387,2606,3549],[1,2,3,4,5,6,9,10,12,13,14,
15,16,17,19,20,22,23,28,30,32,35,40,41,44,50,51,52,53,54,55,56,62,63,64,65,71,
73,74,75,76,77,79,80,81,87,92,101,106,107,108,109,110,118,139,141,153,155,158,
160,161,162,168,169,170,171,173,174,175,176,179,180,188,190,195,199,201,205,
206,208,228,229,230,239,241,246,248,258,262,269,271,272,275,280,281,282,283,
284,285,286,287,288,289,290,331,337,338,340,347,351,369,381,383,405,445,449,
457,476,477,478,479,483,484,485,491,494,500,502,507,521,522,525,528,529,530,
531,532,533,534,535,538,539,540,541,556,557,559,560,569,570,571,576,578,583,
584,585,586,589,593,597,599,600,605,607,609,613,615,616,619,620,621,737,741,
760,766,767,785,786,799,801,803,805,857,881,884,895,919,924,930,942,945,955,
961,1047,1069,1071,1072,1078,1083,1089,1103,1104,1122,1130,1132,1137,1139,1142
,1146,1149,1151,1152,1153,1154,1167,1168,1173,1175,1176,1183,1185,1189,1192,
1193,1195,1201,1203,1208,1209,1213,1214,1221,1224,1225,1228,1230,1235,1237,
1238,1239,1240,1242,1248,1251,1252,1254,1257,1262,1263,1467,1515,1562,1563,
1584,1585,1627,1629,1642,1648,1654,1682,1699,1708,1877,1888,1910,1932,1934,
1939,1942,1960,1964,1996,2003,2008,2013,2022,2030,2033,2034,2043,2044,2046,
2050,2314,2315,2330,2334,2387,2389,2400,2403,2408,2413,2427,2444,2647,2719,
3030,3031,3046,3058,3061,3066,3073,3550],[1,2,3,4,5,6,8,10,11,12,13,14,15,16,
17,19,20,21,22,23,28,30,31,32,33,35,37,38,40,41,42,43,44,45,51,53,54,55,56,57,
62,63,64,65,67,68,69,70,71,74,76,77,79,80,81,87,92,101,106,107,108,109,110,121
,140,143,155,157,158,160,161,162,165,168,169,170,171,173,174,175,176,177,178,
179,180,181,182,183,186,187,188,190,193,194,195,199,201,205,206,208,209,210,
228,230,233,236,241,242,245,248,261,263,268,270,271,278,279,280,282,284,285,
288,289,290,332,337,339,340,347,351,372,379,384,388,390,391,408,448,452,453,
458,464,475,476,477,478,482,483,485,491,494,501,504,505,506,523,524,525,530,
531,533,534,535,536,537,538,539,541,543,544,545,546,548,553,557,559,560,571,
572,576,578,583,584,585,586,589,593,597,598,600,602,603,604,605,607,609,610,
613,615,616,619,620,621,623,734,741,758,759,766,784,786,800,802,804,806,865,
888,889,892,905,921,926,931,933,944,953,962,1049,1074,1075,1077,1079,1081,1082
,1085,1086,1096,1105,1123,1129,1132,1138,1140,1143,1144,1147,1148,1150,1154,
1155,1169,1170,1172,1174,1176,1178,1184,1186,1189,1192,1193,1195,1198,1199,
1206,1207,1210,1211,1219,1220,1222,1230,1231,1235,1237,1240,1241,1242,1243,
1249,1250,1254,1256,1257,1259,1263,1468,1516,1518,1565,1571,1586,1587,1621,
1636,1643,1649,1656,1683,1700,1710,1879,1885,1911,1933,1935,1936,1937,1938,
1941,1961,1964,1997,1998,2006,2013,2023,2031,2035,2036,2041,2042,2047,2049,
2318,2320,2333,2336,2388,2391,2401,2402,2405,2415,2426,2443,2648,2718,3029,
3037,3041,3059,3060,3067,3072,3551],[1,2,3,4,5,6,8,9,10,12,13,14,15,16,17,19,
20,22,23,24,25,28,30,31,32,35,38,40,41,42,43,44,45,50,51,52,53,54,55,56,62,63,
64,65,71,74,75,76,77,81,87,88,92,93,100,101,103,104,105,106,107,108,109,110,
121,140,143,153,154,155,156,158,160,161,162,165,166,168,169,170,171,173,174,
175,176,177,178,179,180,186,190,194,195,200,201,202,203,204,205,206,207,221,
228,229,230,231,237,240,241,243,244,247,248,249,260,262,267,269,271,272,275,
276,277,280,282,286,288,289,290,336,337,340,379,384,388,391,408,448,452,464,
477,478,480,482,484,485,487,489,491,493,494,496,497,501,504,505,506,522,523,
525,526,528,529,530,531,532,533,534,535,536,537,538,539,541,548,557,559,560,
570,572,576,578,579,584,585,587,588,589,593,597,599,605,607,608,612,615,616,
617,618,619,620,668,690,702,703,704,755,760,766,786,787,788,865,889,892,914,
926,931,933,940,951,960,1040,1044,1049,1053,1068,1074,1077,1081,1082,1096,1116
,1118,1120,1123,1126,1130,1131,1132,1133,1150,1151,1154,1155,1169,1171,1173,
1175,1176,1177,1187,1188,1189,1200,1201,1208,1210,1211,1215,1218,1221,1222,
1229,1230,1232,1236,1237,1242,1246,1248,1254,1257,1258,1260,1261,1263,1264,
1433,1518,1571,1586,1587,1621,1643,1651,1660,1670,1687,1692,1706,1842,1853,
1860,1861,1864,1869,1872,1885,1924,1929,1962,1963,1964,1972,1976,1977,1981,
1983,1985,1986,1994,1996,2006,2308,2320,2333,2391,2399,2405,2415,2419,2424,
2449,2669,2692,3009,3037,3055,3062,3081,3088,3091,3552],[1,2,3,4,5,6,8,10,11,
12,13,14,15,16,17,19,21,23,24,25,28,30,32,33,35,37,40,41,42,43,44,45,46,51,55,
57,62,63,64,65,67,68,69,70,77,79,82,87,89,90,91,92,100,103,104,105,106,107,110
,121,140,143,155,157,158,159,160,162,163,164,165,168,169,170,171,173,175,176,
179,180,181,182,183,187,188,193,200,201,202,203,204,205,207,219,227,228,233,
239,240,246,249,257,263,264,265,266,268,271,273,274,279,284,336,337,372,384,
387,390,391,408,409,452,453,458,476,481,482,486,488,490,491,492,494,498,499,
501,504,505,506,508,521,523,524,527,533,536,537,538,539,540,541,543,544,545,
546,553,556,557,571,577,578,585,587,588,589,598,605,606,612,616,617,618,620,
665,689,697,698,699,756,759,785,787,865,888,905,916,921,933,935,937,944,947,
951,960,1048,1049,1050,1052,1066,1075,1079,1085,1086,1105,1116,1118,1120,1122,
1123,1124,1125,1129,1148,1172,1176,1178,1179,1180,1185,1187,1196,1197,1199,
1206,1216,1217,1219,1228,1229,1236,1237,1247,1250,1260,1262,1264,1431,1516,
1565,1586,1587,1593,1636,1643,1644,1650,1663,1676,1688,1690,1706,1843,1854,
1859,1862,1863,1868,1870,1879,1923,1927,1960,1963,1972,1974,1979,1987,1988,
1993,1997,2310,2318,2336,2388,2399,2402,2414,2415,2416,2420,2424,2448,2668,
2693,3010,3041,3054,3063,3080,3087,3091,3553],[1,2,3,4,5,6,9,10,12,13,14,15,16
,17,19,20,22,23,24,25,28,30,32,35,40,41,44,50,51,52,53,54,55,56,62,63,64,65,71
,74,75,76,77,81,87,88,92,93,100,101,103,104,105,106,107,108,109,110,118,139,
141,153,155,158,159,160,161,162,168,169,170,171,173,174,175,176,179,180,188,
190,199,201,202,204,205,206,207,221,228,229,230,231,237,240,241,243,244,247,
248,249,260,262,267,269,271,272,275,276,277,280,282,286,288,289,290,336,337,
340,369,381,383,405,449,457,477,478,479,482,484,485,491,493,494,498,500,502,
507,521,522,523,525,528,529,530,531,532,533,534,535,536,537,538,539,541,557,
559,560,570,572,576,578,579,584,585,587,588,589,593,597,599,605,607,608,612,
613,615,616,618,619,620,668,690,702,703,704,755,760,766,786,787,788,857,881,
895,915,919,930,942,945,955,958,1041,1046,1047,1068,1072,1083,1089,1104,1115,
1117,1119,1123,1126,1130,1131,1132,1133,1150,1151,1154,1155,1169,1171,1173,
1175,1176,1177,1187,1188,1189,1200,1201,1203,1208,1210,1211,1218,1221,1222,
1229,1230,1232,1236,1237,1242,1246,1248,1254,1257,1258,1260,1261,1263,1264,
1433,1515,1563,1584,1585,1627,1642,1648,1665,1672,1684,1691,1704,1840,1852,
1858,1866,1872,1888,1924,1929,1962,1963,1964,1970,1976,1977,1981,1983,1985,
1986,1994,1996,2006,2309,2315,2334,2389,2398,2408,2413,2418,2425,2447,2669,
2687,3008,3031,3052,3064,3078,3090,3092,3554],[1,2,3,4,5,6,9,10,11,12,13,14,15
,16,17,19,21,22,23,24,25,28,30,32,35,40,41,44,50,51,52,54,55,57,62,63,64,65,67
,68,69,70,73,74,75,76,77,79,80,81,82,89,90,91,100,101,103,104,105,108,109,110,
118,139,141,153,155,156,157,160,162,168,169,170,171,173,174,175,176,179,180,
181,195,199,201,202,204,206,207,218,228,229,232,233,234,236,237,242,243,244,
245,247,257,258,264,265,266,273,274,281,283,284,285,286,287,290,336,340,369,
381,383,405,445,449,457,474,476,478,482,483,484,485,490,492,497,500,502,507,
521,522,524,528,529,531,532,533,538,539,540,543,544,545,546,556,557,569,576,
577,584,587,588,593,600,606,607,612,613,615,618,619,667,688,694,695,696,700,
701,756,767,784,788,857,881,884,911,924,930,942,945,955,958,1039,1045,1047,
1051,1067,1069,1071,1072,1078,1103,1115,1117,1119,1122,1127,1128,1129,1130,
1146,1152,1154,1168,1179,1180,1186,1188,1196,1197,1202,1209,1213,1217,1225,
1231,1232,1236,1242,1247,1252,1258,1259,1261,1432,1515,1562,1584,1585,1629,
1642,1654,1658,1669,1685,1691,1704,1841,1851,1855,1856,1857,1867,1871,1877,
1925,1928,1961,1962,1970,1975,1978,1982,1984,1993,2008,2307,2314,2330,2387,
2398,2403,2413,2417,2425,2446,2667,2688,3007,3046,3053,3065,3079,3089,3092,
3555],[1,2,3,4,5,6,9,10,12,13,15,16,17,19,20,21,22,23,25,28,29,30,32,35,40,41,
44,50,51,52,55,56,62,65,68,70,71,73,74,75,76,77,79,80,81,87,91,92,93,101,103,
106,107,108,109,110,118,139,141,153,155,158,160,161,162,168,169,170,173,174,
175,176,179,180,181,189,190,199,201,202,204,205,206,208,219,221,231,232,239,
241,244,245,247,248,249,258,262,264,267,268,270,272,275,278,279,280,281,282,
283,284,287,288,331,332,338,339,347,350,351,366,369,381,383,405,445,447,449,
457,474,475,476,478,479,482,483,484,485,490,491,493,500,502,507,521,522,525,
528,529,532,533,534,535,536,537,544,546,556,557,559,560,569,570,571,576,578,
583,585,586,589,593,595,597,598,599,600,605,607,612,613,615,619,620,621,697,
701,702,703,743,757,761,765,774,799,803,804,806,810,812,857,876,880,884,895,
918,930,942,958,961,1041,1051,1069,1071,1078,1083,1089,1098,1117,1119,1125,
1126,1127,1133,1137,1139,1142,1145,1148,1152,1153,1156,1167,1168,1169,1170,
1172,1175,1188,1194,1195,1196,1198,1200,1202,1203,1209,1211,1221,1224,1225,
1228,1230,1235,1238,1241,1243,1248,1249,1250,1253,1254,1257,1259,1260,1261,
1460,1512,1515,1562,1563,1584,1585,1617,1626,1642,1680,1691,1708,1857,1858,
1875,1889,1914,1918,1930,1934,1955,1974,1977,1984,1985,1999,2002,2009,2016,
2022,2025,2028,2034,2035,2047,2311,2313,2330,2334,2387,2389,2407,2417,2418,
2425,2427,2433,2659,2722,3032,3047,3073,3074,3089,3090,3095,3556],[1,2,3,4,5,6
,8,10,11,12,13,14,15,16,17,19,20,21,22,23,25,28,30,31,32,33,34,35,37,40,41,43,
44,45,54,55,56,57,62,63,65,69,70,71,74,76,77,79,80,81,87,89,92,93,101,103,106,
107,108,109,121,140,143,155,157,158,159,160,161,162,166,168,169,170,171,173,
174,175,176,177,179,180,181,183,184,186,188,190,191,199,201,202,203,204,205,
206,209,210,227,231,234,236,241,244,246,249,261,263,265,267,269,272,278,279,
282,285,287,289,290,332,338,347,350,367,372,387,388,390,391,408,448,452,453,
454,458,475,476,477,478,479,482,483,489,491,492,493,494,498,504,505,506,523,
524,525,531,532,533,534,535,537,538,540,541,545,546,547,555,556,557,559,560,
571,572,576,578,582,583,584,586,589,591,593,596,597,598,599,600,604,605,607,
612,613,616,619,620,621,694,698,702,762,763,773,800,805,812,865,885,886,891,
905,922,931,937,940,944,960,962,1048,1053,1074,1076,1079,1081,1086,1095,1118,
1120,1124,1128,1131,1133,1138,1140,1143,1147,1149,1150,1152,1155,1162,1167,
1170,1172,1173,1174,1178,1187,1192,1194,1197,1200,1201,1206,1207,1212,1214,
1219,1220,1222,1230,1231,1235,1238,1239,1243,1248,1251,1252,1253,1254,1260,
1261,1262,1263,1459,1513,1516,1565,1571,1587,1593,1619,1638,1643,1681,1690,
1692,1710,1711,1861,1863,1880,1883,1917,1919,1931,1935,1953,1975,1977,1983,
1987,1995,2001,2007,2015,2023,2025,2029,2033,2036,2046,2317,2319,2331,2336,
2388,2391,2404,2414,2419,2424,2426,2434,2657,2721,3035,3043,3072,3075,3087,
3088,3094,3557],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,19,20,21,22,23,28,30,32
,40,41,44,50,51,52,53,54,55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79
,80,81,87,92,101,106,107,108,109,110,118,139,141,153,155,156,157,158,159,160,
161,162,168,169,170,171,173,174,175,176,179,180,181,190,199,201,205,206,208,
218,221,228,229,230,231,232,233,234,258,261,262,263,268,269,270,271,272,275,
278,279,281,283,284,285,286,287,290,331,337,338,340,381,383,405,474,475,476,
477,479,482,483,484,491,494,500,502,507,521,522,523,524,525,528,529,530,531,
532,533,534,535,536,537,538,539,541,543,544,545,546,557,559,560,569,570,571,
572,574,576,578,583,584,585,586,589,597,598,599,600,605,613,616,619,620,621,
667,668,737,742,757,758,759,760,761,762,767,857,911,915,930,942,945,955,961,
1039,1041,1045,1046,1047,1051,1067,1068,1123,1126,1127,1128,1129,1130,1131,
1132,1133,1137,1139,1142,1145,1146,1147,1148,1149,1150,1151,1156,1170,1172,
1173,1174,1175,1176,1178,1183,1198,1199,1201,1202,1206,1207,1208,1212,1219,
1220,1221,1223,1225,1237,1238,1239,1240,1248,1249,1250,1253,1417,1584,1585,
1642,1658,1665,1669,1672,1678,1699,1708,1840,1841,1871,1872,1910,1920,1930,
1932,1943,1944,1948,1950,1955,1995,1996,1997,1998,1999,2000,2001,2005,2307,
2309,2400,2413,2417,2418,2427,2465,2640,2664,3007,3008,3030,3070,3071,3076,
3095,3558],[1,2,3,4,5,6,8,9,10,12,13,14,15,16,17,19,20,22,23,28,30,32,40,41,42
,43,44,45,46,50,51,52,53,54,55,56,62,63,64,65,71,73,74,75,76,77,79,80,81,101,
108,109,110,121,140,143,153,154,155,156,158,159,160,161,162,163,164,165,166,
168,169,170,171,173,174,175,176,179,180,190,199,201,205,206,208,209,210,219,
221,227,228,229,230,231,258,280,281,282,283,284,285,286,287,288,289,290,332,
339,340,384,387,391,408,409,474,475,476,477,478,479,482,483,484,485,501,504,
505,506,508,521,522,523,525,526,527,528,529,530,531,532,533,534,535,536,537,
538,539,540,541,556,557,559,560,569,570,571,572,574,575,576,580,581,582,583,
584,585,586,593,597,598,599,600,607,613,615,619,621,623,665,668,734,743,763,
764,765,766,767,865,914,916,933,935,937,940,947,953,962,1040,1044,1048,1049,
1050,1052,1053,1066,1068,1122,1123,1124,1125,1126,1130,1131,1132,1133,1138,
1140,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,
1167,1168,1169,1184,1202,1203,1209,1210,1211,1212,1213,1214,1222,1223,1224,
1225,1227,1240,1241,1242,1243,1251,1252,1253,1254,1414,1586,1587,1593,1643,
1644,1662,1664,1670,1676,1679,1700,1711,1842,1843,1870,1872,1911,1921,1931,
1933,1945,1946,1947,1951,1952,1953,1954,2002,2003,2004,2005,2006,2007,2008,
2009,2308,2310,2401,2414,2415,2416,2419,2420,2426,2463,2641,2665,3009,3010,
3029,3068,3069,3077,3094,3559],[1,2,3,4,5,6,9,10,12,13,14,15,16,17,19,20,21,22
,23,24,28,30,32,35,40,41,44,50,52,55,56,62,63,65,68,70,71,73,74,75,76,77,79,80
,81,87,88,90,92,100,101,106,107,108,109,110,118,139,141,153,155,158,160,162,
168,170,171,173,174,175,176,179,180,181,188,190,195,199,201,205,206,207,208,
221,227,231,232,237,240,241,243,245,246,248,260,262,266,268,270,272,275,278,
279,281,282,283,285,286,287,288,289,331,332,338,339,346,347,351,369,381,383,
405,445,449,457,476,477,478,479,483,484,485,491,494,500,502,507,522,523,528,
529,532,535,538,540,541,544,546,556,557,559,560,569,570,571,572,576,584,585,
586,589,593,597,598,599,600,605,606,607,608,609,615,616,618,619,620,621,690,
699,700,704,757,761,763,764,772,801,804,805,806,809,811,857,881,884,895,919,
924,930,942,945,955,961,1041,1051,1071,1072,1078,1083,1089,1103,1104,1115,1124
,1126,1127,1131,1137,1138,1139,1142,1146,1151,1153,1155,1167,1168,1174,1175,
1178,1193,1199,1208,1210,1213,1223,1229,1232,1234,1235,1239,1241,1246,1247,
1248,1249,1250,1251,1252,1253,1254,1257,1258,1259,1262,1263,1264,1461,1515,
1562,1563,1584,1585,1627,1629,1642,1648,1654,1682,1699,1708,1852,1856,1876,
1889,1913,1930,1931,1939,1942,1955,1968,1976,1978,1979,1981,2000,2004,2024,
2026,2030,2031,2046,2047,2314,2315,2330,2334,2393,2398,2403,2408,2417,2418,
2427,2444,2661,2727,3033,3045,3064,3065,3066,3083,3095,3560],[1,2,3,4,5,6,8,9,
10,12,13,14,15,16,17,19,20,21,22,23,24,28,29,30,32,33,35,37,38,40,41,43,44,45,
50,52,55,56,62,63,65,68,70,71,73,74,75,76,77,79,80,81,87,88,90,92,100,101,106,
107,108,109,110,121,140,143,153,155,158,159,160,162,166,168,170,171,173,174,
175,176,179,180,181,182,183,185,189,190,193,194,195,200,201,205,206,207,209,
210,221,227,231,232,237,240,241,243,245,246,248,260,262,266,268,270,272,275,
278,279,281,282,283,285,286,287,288,289,331,332,338,339,346,347,351,372,379,
386,387,390,391,408,446,452,453,458,464,476,477,478,484,485,486,487,491,494,
504,505,506,522,523,528,529,532,535,538,540,541,544,546,554,556,557,559,560,
561,569,570,571,572,582,584,585,589,592,593,597,598,599,600,603,605,606,607,
608,610,615,616,618,619,620,621,690,699,700,704,757,761,763,764,772,801,804,
805,806,809,811,865,887,903,905,906,921,926,937,938,940,951,962,1048,1053,1073
,1077,1080,1085,1086,1096,1105,1116,1124,1126,1127,1131,1137,1138,1140,1143,
1146,1151,1153,1155,1163,1168,1174,1175,1178,1193,1199,1208,1210,1213,1223,
1229,1232,1234,1235,1239,1241,1246,1247,1248,1249,1250,1251,1252,1253,1254,
1257,1258,1259,1262,1263,1264,1461,1516,1518,1564,1565,1587,1593,1634,1637,
1643,1650,1651,1683,1701,1711,1859,1864,1881,1884,1912,1930,1931,1936,1941,
1953,1968,1976,1978,1979,1981,2000,2004,2024,2026,2030,2031,2046,2047,2316,
2321,2332,2336,2390,2399,2402,2405,2414,2419,2426,2442,2658,2727,3034,3042,
3062,3063,3067,3084,3094,3561],[1,2,3,4,5,6,8,9,10,11,12,13,16,21,22,24,25,29,
30,33,37,40,41,45,50,51,57,66,68,73,74,82,85,86,91,99,100,101,103,113,114,121,
141,144,145,148,153,155,157,160,162,175,181,185,202,206,207,218,236,237,254,
257,258,264,300,304,328,329,372,386,391,447,450,459,469,490,495,509,521,522,
524,542,544,569,576,577,594,601,612,614,618,619,624,684,688,691,719,720,867,
873,887,1058,1059,1067,1092,1158,1190,1196,1204,1217,1225,1231,1232,1268,1273,
1390,1532,1577,1579,1604,1818,1819,1825,1846,1925,1926,1966,1991,2053,2343,
2350,2596,2694,3012,3018,3093,3562],[1,2,3,4,5,6,8,9,11,12,13,14,17,19,21,23,
24,25,30,31,32,35,38,40,41,45,49,50,57,63,66,69,75,78,81,82,86,89,90,91,99,102
,103,104,110,113,114,121,141,144,145,148,153,157,160,162,171,176,180,181,186,
201,202,207,218,238,242,247,254,259,265,273,286,300,303,305,326,329,330,379,
388,391,451,457,460,471,472,478,484,490,492,495,509,520,522,524,540,542,545,
573,577,588,594,606,612,614,615,622,624,685,687,691,695,721,723,724,867,873,
889,1058,1059,1067,1091,1159,1179,1186,1188,1190,1197,1204,1205,1213,1226,1233
,1267,1268,1274,1395,1527,1533,1580,1604,1817,1824,1829,1846,1922,1926,1928,
1967,1992,2055,2056,2342,2350,2598,2696,3011,3019,3093,3563],[1,2,4,5,6,9,10,
11,12,13,14,19,20,22,23,25,28,32,35,40,41,44,50,57,63,65,71,73,75,76,77,81,87,
89,93,103,107,108,110,118,139,141,153,155,156,157,158,160,161,162,168,171,173,
174,179,180,190,195,199,201,202,204,205,206,218,221,227,242,246,247,248,249,
261,262,263,265,267,281,286,288,289,331,339,350,351,369,381,383,405,445,449,
457,474,477,478,482,483,484,485,492,493,494,497,500,507,522,523,524,525,528,
540,541,556,557,559,560,569,570,571,572,578,585,593,599,607,612,613,615,616,
620,621,695,698,703,742,764,773,801,802,810,857,881,884,911,924,930,942,945,
955,958,1039,1041,1045,1067,1068,1072,1078,1083,1103,1117,1119,1124,1126,1137,
1139,1151,1153,1155,1168,1183,1184,1186,1187,1188,1189,1193,1194,1195,1197,
1200,1202,1206,1207,1208,1210,1211,1213,1214,1219,1220,1221,1223,1241,1251,
1257,1260,1262,1457,1515,1562,1563,1584,1629,1642,1654,1658,1669,1685,1691,
1704,1855,1858,1867,1874,1876,1914,1920,1928,1929,1939,1944,1946,1948,1985,
1987,2004,2015,2027,2028,2030,2041,2043,2049,2307,2315,2330,2389,2393,2400,
2403,2418,2425,2446,2660,2725,3014,3045,3058,3070,3079,3085,3090,3564],[1,2,3,
4,5,6,9,10,12,13,15,16,17,19,20,21,22,23,25,28,30,32,35,40,41,44,50,51,52,55,
56,62,65,68,70,71,73,74,75,76,77,79,80,81,87,91,92,93,101,103,106,107,108,109,
110,118,139,141,153,155,158,159,160,161,162,168,170,173,174,175,176,179,180,
181,188,190,199,201,202,204,205,206,219,221,231,232,239,241,244,245,247,248,
249,258,262,264,267,268,270,272,275,278,279,280,281,282,283,284,287,288,331,
332,338,339,347,350,351,369,381,383,405,445,449,457,475,476,477,479,482,484,
485,490,491,493,494,498,500,502,507,521,522,523,525,529,532,535,536,538,544,
546,559,560,569,570,571,572,576,584,589,593,597,600,605,612,613,615,616,619,
621,697,701,702,703,743,757,761,765,774,799,803,804,806,810,812,857,881,895,
915,919,930,942,945,955,958,1041,1046,1051,1066,1068,1069,1071,1078,1083,1089,
1104,1117,1119,1127,1131,1138,1139,1146,1169,1174,1175,1178,1183,1184,1185,
1187,1188,1189,1192,1193,1194,1196,1198,1199,1200,1201,1203,1208,1209,1210,
1212,1222,1223,1224,1225,1239,1249,1259,1261,1263,1460,1515,1562,1563,1585,
1627,1642,1648,1665,1672,1684,1691,1704,1857,1858,1866,1875,1889,1914,1921,
1927,1929,1934,1943,1945,1955,1983,1984,2000,2016,2027,2029,2031,2042,2044,
2050,2309,2314,2334,2387,2393,2400,2408,2417,2425,2447,2659,2724,3015,3033,
3061,3071,3078,3085,3089,3565],[1,2,3,4,5,6,8,9,10,12,13,15,16,17,19,20,21,22,
23,25,29,30,31,32,33,35,37,40,41,42,43,44,45,46,50,51,52,55,56,62,65,68,70,71,
73,74,75,76,77,79,80,81,87,91,92,93,101,103,106,107,108,109,110,121,140,143,
153,155,158,160,161,162,163,164,166,170,172,174,175,176,177,178,180,181,182,
183,185,189,190,193,199,201,202,203,204,205,206,208,219,221,231,232,239,241,
244,245,247,248,249,258,262,264,267,268,270,272,275,278,279,280,281,282,283,
284,287,288,331,332,338,339,347,350,351,372,386,388,390,391,408,409,446,448,
452,453,458,475,476,477,479,484,485,488,489,490,491,493,494,499,501,504,505,
506,508,521,522,523,525,529,532,535,538,544,546,554,559,562,569,570,571,572,
576,581,584,589,595,600,602,605,612,613,615,616,619,621,697,701,702,703,743,
757,761,765,774,799,803,804,806,810,812,865,887,905,916,921,931,936,938,940,
946,953,960,1050,1052,1053,1066,1068,1070,1073,1080,1081,1082,1085,1086,1105,
1118,1120,1127,1131,1138,1144,1146,1165,1174,1175,1178,1183,1184,1185,1187,
1188,1189,1192,1193,1194,1196,1198,1199,1200,1201,1203,1208,1209,1210,1212,
1222,1223,1224,1225,1239,1249,1259,1261,1263,1460,1516,1564,1565,1571,1587,
1637,1643,1644,1649,1662,1675,1688,1692,1705,1861,1862,1868,1881,1882,1915,
1921,1927,1929,1937,1943,1945,1952,1983,1984,2000,2016,2027,2029,2031,2042,
2044,2050,2310,2316,2336,2390,2391,2392,2394,2401,2402,2419,2424,2450,2654,
2724,3017,3042,3060,3069,3080,3086,3088,3566],[1,2,4,5,6,8,9,10,11,12,13,14,19
,20,22,23,25,28,29,32,35,38,40,41,43,44,50,57,63,65,71,73,75,76,77,81,87,89,93
,103,107,108,110,121,140,143,153,154,155,156,157,158,159,160,161,162,168,171,
173,174,179,180,188,189,190,194,195,199,201,202,203,204,205,206,208,218,221,
227,242,246,247,248,249,261,262,263,265,267,281,286,288,289,331,339,350,351,
379,386,387,390,408,446,452,464,474,477,478,482,483,484,485,492,493,494,496,
497,498,505,506,522,523,524,525,528,540,541,551,556,557,559,560,561,569,570,
571,572,574,578,585,593,595,599,607,609,612,613,615,616,620,621,695,698,703,
742,764,773,801,802,810,865,903,906,914,926,937,938,944,953,960,1040,1044,1048
,1067,1068,1077,1079,1080,1096,1118,1120,1124,1126,1137,1144,1151,1153,1155,
1168,1181,1183,1184,1186,1187,1188,1189,1193,1194,1195,1197,1200,1202,1206,
1207,1208,1210,1211,1213,1214,1219,1220,1221,1223,1241,1251,1257,1260,1262,
1457,1518,1564,1565,1593,1634,1643,1656,1664,1673,1687,1690,1705,1860,1863,
1869,1873,1884,1915,1920,1928,1929,1938,1944,1946,1954,1985,1987,2004,2015,
2027,2028,2030,2041,2043,2049,2308,2321,2332,2388,2390,2401,2405,2414,2424,
2454,2656,2725,3016,3034,3059,3068,3081,3086,3087,3567],[1,2,4,5,6,9,10,11,12,
13,14,19,20,22,23,25,28,29,32,35,40,41,44,50,57,63,65,71,73,75,76,77,81,87,89,
93,103,107,108,110,118,139,141,153,155,156,157,158,159,160,161,162,168,171,173
,174,179,180,188,189,190,195,199,201,202,204,205,206,208,218,221,227,242,246,
247,248,249,261,262,263,265,267,281,286,288,289,331,339,350,351,366,369,405,
445,447,449,457,474,477,478,482,483,484,485,492,493,494,497,498,500,507,522,
523,524,525,528,540,541,551,556,557,559,560,561,569,570,571,572,574,578,585,
593,595,599,607,609,612,613,615,616,620,621,695,698,703,742,764,773,801,802,
810,857,911,915,918,919,924,958,961,1039,1041,1045,1046,1067,1068,1072,1078,
1083,1098,1103,1104,1117,1119,1124,1126,1137,1139,1142,1151,1153,1155,1168,
1181,1183,1184,1186,1187,1188,1189,1193,1194,1195,1197,1200,1202,1206,1207,
1208,1210,1211,1213,1214,1219,1220,1221,1223,1241,1251,1257,1260,1262,1457,
1512,1515,1552,1554,1642,1678,1680,1682,1684,1685,1855,1858,1866,1867,1874,
1876,1890,1891,1914,1918,1920,1928,1929,1939,1942,1944,1946,1948,1950,1985,
1987,2004,2015,2027,2028,2030,2041,2043,2049,2307,2309,2403,2407,2408,2425,
2427,2430,2660,2662,2725,2989,2990,3066,3074,3076,3078,3079,3568],[1,2,3,4,5,6
,8,9,10,12,13,15,16,17,19,20,21,22,23,25,30,31,32,33,34,35,37,38,40,41,42,43,
44,46,50,51,52,55,56,62,65,68,70,71,73,74,75,76,77,79,80,81,87,91,92,93,101,
103,106,107,108,109,110,121,140,143,153,154,155,156,158,160,161,162,163,164,
170,174,175,176,178,180,181,182,184,187,190,191,192,193,194,195,197,199,201,
202,203,204,205,206,209,210,219,221,231,232,239,241,244,245,247,248,249,258,
262,264,267,268,270,272,275,278,279,280,281,282,283,284,287,288,331,332,338,
339,347,350,351,367,372,379,408,409,448,452,453,454,458,464,475,476,477,479,
484,485,488,490,491,493,494,496,497,499,501,505,506,508,521,522,523,525,529,
532,535,538,544,546,550,552,558,559,564,569,570,571,572,575,576,580,584,589,
591,596,600,603,605,610,612,613,615,616,619,621,697,701,702,703,743,757,761,
765,774,799,803,804,806,810,812,865,914,916,921,922,923,926,927,960,962,1040,
1044,1050,1052,1066,1068,1075,1076,1077,1082,1085,1095,1096,1097,1105,1111,
1118,1120,1127,1131,1138,1140,1143,1146,1166,1174,1175,1178,1182,1183,1184,
1185,1187,1188,1189,1192,1193,1194,1196,1198,1199,1200,1201,1203,1208,1209,
1210,1212,1222,1223,1224,1225,1239,1249,1259,1261,1263,1460,1513,1516,1518,
1553,1555,1643,1644,1679,1681,1683,1687,1688,1860,1862,1868,1869,1878,1886,
1896,1898,1917,1919,1921,1927,1929,1936,1941,1943,1945,1947,1951,1983,1984,
2000,2016,2027,2029,2031,2042,2044,2050,2308,2310,2402,2404,2405,2406,2409,
2424,2426,2431,2652,2663,2724,2988,2991,3067,3075,3077,3080,3081,3569],[1,2,3,
4,5,6,8,9,11,12,13,14,17,19,21,23,24,25,30,32,33,35,37,38,40,41,42,46,49,50,57
,63,66,69,75,78,81,82,86,89,90,91,99,102,103,104,110,113,114,121,141,144,145,
148,153,157,160,162,171,176,180,181,187,192,201,202,207,218,238,242,247,254,
259,265,273,286,300,303,305,326,329,330,372,379,409,457,459,460,469,471,472,
478,484,490,492,495,503,513,520,522,524,540,542,545,573,577,588,594,606,612,
614,615,622,624,685,687,691,695,721,723,724,867,873,923,1058,1059,1067,1094,
1114,1159,1179,1186,1188,1190,1197,1204,1205,1213,1226,1233,1267,1268,1274,
1395,1527,1532,1533,1647,1819,1824,1825,1829,1845,1847,1922,1926,1928,1967,
1992,2055,2056,2350,2411,2597,2605,2696,3018,3019,3082,3570],[1,2,4,5,6,9,10,
11,12,13,19,20,22,23,24,28,29,32,35,40,41,44,50,51,57,65,71,73,74,75,76,77,82,
87,88,100,101,107,108,118,139,141,153,155,156,157,160,162,168,173,174,179,180,
188,189,190,199,201,206,207,218,219,221,236,237,239,240,241,257,258,260,261,
262,263,280,281,282,331,332,346,347,366,369,381,405,445,447,449,457,474,479,
482,483,484,485,494,500,507,521,522,524,528,536,551,556,557,559,560,569,576,
577,586,593,597,607,608,613,616,618,619,688,689,690,742,743,769,799,800,809,
857,876,884,911,918,919,930,955,1039,1041,1045,1067,1069,1078,1083,1098,1104,
1115,1125,1126,1139,1156,1167,1168,1169,1183,1185,1191,1192,1202,1203,1206,
1207,1208,1217,1225,1231,1232,1243,1246,1254,1263,1264,1456,1512,1515,1552,
1562,1584,1613,1617,1642,1648,1658,1851,1852,1874,1875,1891,1913,1925,1934,
1944,1948,1981,1988,2009,2017,2036,2044,2052,2307,2311,2330,2370,2387,2398,
2400,2407,2408,2418,2650,2681,2990,3047,3053,3056,3061,3064,3070,3571],[1,2,3,
4,5,6,9,10,12,13,14,15,16,17,19,20,21,22,23,24,28,29,30,32,35,40,41,44,50,52,
55,56,62,63,65,68,70,71,73,74,75,76,77,79,80,81,87,88,90,92,100,101,106,107,
108,109,110,118,139,141,153,155,158,159,160,161,162,168,169,170,171,173,174,
175,176,179,180,181,189,190,195,199,201,205,206,207,221,227,231,232,237,240,
241,243,245,246,248,260,262,266,268,270,272,275,278,279,281,282,283,285,286,
287,288,289,331,332,338,339,346,347,351,366,369,383,405,445,447,449,457,474,
475,476,477,478,479,482,483,484,491,500,502,507,522,523,525,529,532,533,534,
535,537,540,541,544,546,556,557,560,561,570,572,576,578,579,583,586,589,593,
598,600,605,606,607,613,615,616,618,619,620,690,699,700,704,757,761,763,764,
772,801,804,805,806,809,811,857,880,895,915,918,924,942,955,1041,1046,1051,
1068,1071,1072,1078,1083,1089,1098,1103,1115,1124,1127,1133,1139,1145,1147,
1152,1155,1167,1170,1172,1175,1183,1184,1189,1191,1192,1195,1198,1199,1201,
1202,1211,1212,1213,1214,1218,1221,1222,1229,1230,1232,1238,1243,1247,1250,
1252,1258,1259,1262,1264,1461,1512,1515,1554,1563,1585,1613,1626,1642,1654,
1665,1852,1856,1876,1889,1890,1913,1924,1939,1943,1946,1955,1978,1979,1986,
1999,2007,2014,2033,2035,2042,2043,2051,2052,2309,2313,2334,2373,2389,2398,
2400,2403,2407,2417,2661,2683,2989,3032,3052,3056,3058,3065,3071,3572],[1,2,3,
4,5,6,8,10,11,12,13,14,15,16,17,19,20,21,22,23,24,30,31,32,33,34,35,37,38,40,
41,42,43,44,45,46,51,54,55,56,57,62,65,69,70,71,74,76,77,79,80,81,82,87,88,92,
100,106,107,108,109,110,121,140,143,155,157,158,160,162,163,164,166,170,171,
174,175,176,178,180,181,183,184,186,187,188,190,191,192,194,195,197,199,200,
201,205,207,208,219,231,234,239,240,242,243,248,257,260,261,263,269,272,278,
279,280,284,287,288,290,338,339,346,351,367,372,379,390,391,408,409,448,452,
453,454,458,464,475,476,477,479,481,483,485,487,494,501,504,505,506,508,521,
523,524,531,532,535,538,545,546,550,555,559,564,571,577,578,581,583,589,590,
599,605,608,609,613,615,618,620,689,696,704,762,765,769,802,803,811,865,886,
905,916,922,923,926,927,940,944,951,953,1050,1052,1053,1066,1074,1075,1076,
1077,1079,1082,1086,1095,1096,1097,1111,1116,1128,1131,1144,1149,1164,1170,
1173,1178,1184,1186,1191,1195,1203,1207,1209,1210,1212,1217,1219,1228,1229,
1238,1246,1248,1257,1258,1458,1513,1516,1518,1555,1565,1587,1615,1638,1643,
1644,1651,1656,1662,1663,1854,1864,1880,1886,1898,1916,1923,1938,1945,1952,
1976,1982,1995,2017,2034,2041,2051,2310,2317,2336,2372,2388,2399,2401,2404,
2405,2406,2409,2419,2653,2682,2991,3043,3054,3057,3059,3062,3069,3573],[1,2,3,
4,5,6,8,9,10,12,13,14,15,16,17,19,20,21,22,23,24,28,30,31,32,33,34,37,40,41,43
,44,50,52,55,56,62,63,65,68,70,71,73,74,75,76,77,79,80,81,87,88,90,92,100,101,
106,107,108,109,110,121,140,143,153,154,155,156,158,159,160,161,162,168,169,
170,171,173,174,175,176,177,179,180,181,182,184,190,191,193,199,200,201,205,
206,207,208,221,227,231,232,237,240,241,243,245,246,248,260,262,266,268,270,
272,275,278,279,281,282,283,285,286,287,288,289,331,332,338,339,346,347,351,
367,372,387,388,408,448,453,454,458,474,475,476,477,478,479,480,482,483,484,
486,491,505,506,522,523,525,529,532,533,534,535,537,540,541,544,546,547,552,
556,557,558,560,570,572,574,576,578,579,583,586,589,590,593,598,600,602,605,
606,607,613,615,616,618,619,620,690,699,700,704,757,761,763,764,772,801,804,
805,806,809,811,865,885,891,914,921,922,931,937,951,953,1040,1044,1048,1068,
1076,1081,1085,1095,1105,1116,1124,1127,1133,1144,1145,1147,1152,1155,1161,
1167,1170,1172,1175,1183,1184,1189,1191,1192,1195,1198,1199,1201,1202,1211,
1212,1213,1214,1218,1221,1222,1229,1230,1232,1238,1243,1247,1250,1252,1258,
1259,1262,1264,1461,1513,1516,1553,1571,1593,1615,1619,1643,1649,1650,1660,
1664,1853,1859,1878,1883,1896,1916,1924,1937,1943,1946,1954,1978,1979,1986,
1999,2007,2014,2033,2035,2042,2043,2051,2052,2308,2319,2331,2371,2391,2399,
2401,2402,2404,2414,2655,2683,2988,3035,3055,3057,3060,3063,3068,3574],[1,2,3,
4,5,6,8,9,11,12,13,14,15,16,17,21,24,25,28,30,32,40,41,42,44,45,46,49,50,52,54
,55,57,64,66,67,68,69,70,78,82,85,86,89,90,91,102,105,113,114,121,141,144,145,
148,153,157,160,162,165,169,170,171,173,174,175,176,181,202,207,218,220,229,
232,233,234,238,254,255,259,274,300,301,302,303,304,305,343,387,391,409,490,
492,495,503,507,509,510,513,520,522,524,528,529,531,532,533,539,542,543,544,
545,546,573,577,587,594,601,606,614,622,667,687,691,692,693,768,796,867,873,
935,1055,1058,1059,1067,1121,1127,1128,1129,1130,1157,1158,1159,1180,1190,1204
,1205,1226,1233,1244,1255,1265,1427,1602,1603,1604,1647,1845,1846,1847,1871,
1902,1922,1926,1965,1980,1989,2010,2350,2423,2666,2715,3021,3082,3093,3575],[1
,2,3,4,5,6,9,10,12,13,14,15,16,17,19,22,23,24,25,28,29,30,32,35,40,41,44,50,51
,52,54,55,62,63,64,65,73,74,75,76,77,79,80,81,100,101,103,104,105,106,107,108,
109,110,118,139,141,153,155,158,160,162,168,169,170,171,173,174,175,176,179,
180,189,199,201,202,204,205,206,207,208,228,229,237,240,243,244,247,249,258,
281,283,284,285,286,287,290,331,332,336,337,338,339,340,346,347,350,351,366,
369,381,383,405,445,447,449,457,474,475,476,477,479,482,483,484,500,502,507,
522,523,528,529,531,532,533,536,537,538,539,541,557,569,570,571,572,583,584,
585,586,587,588,589,593,595,597,598,599,600,612,613,615,616,618,619,620,621,
734,737,740,741,767,787,788,809,810,811,812,857,876,880,881,918,945,955,958,
961,1047,1069,1071,1072,1078,1098,1115,1117,1119,1123,1130,1137,1138,1139,1142
,1145,1146,1147,1148,1149,1150,1151,1156,1183,1184,1187,1188,1191,1192,1193,
1194,1195,1202,1212,1223,1229,1232,1234,1235,1236,1237,1238,1239,1240,1241,
1242,1243,1253,1258,1260,1261,1264,1492,1512,1515,1562,1563,1584,1585,1613,
1628,1642,1680,1699,1704,1877,1910,1913,1914,1918,1932,1933,1962,1963,1970,
2005,2012,2013,2024,2025,2026,2027,2028,2029,2051,2052,2311,2313,2314,2315,
2393,2398,2400,2407,2413,2425,2427,2436,2670,2730,3030,3044,3056,3074,3083,
3085,3092,3576],[1,2,3,4,5,6,8,9,10,12,13,14,15,16,17,19,22,23,24,25,28,29,30,
31,32,33,34,35,37,40,41,42,43,44,45,50,51,52,54,55,62,63,64,65,73,74,75,76,77,
79,80,81,100,101,103,104,105,106,107,108,109,110,121,140,143,153,155,158,160,
162,165,168,169,170,171,172,173,174,175,176,179,180,184,185,186,187,189,191,
199,200,201,202,203,204,205,206,207,208,209,210,228,229,237,240,243,244,247,
249,258,281,283,284,285,286,287,290,331,332,336,337,338,339,340,346,347,350,
351,367,372,384,386,390,391,408,446,448,452,453,454,458,474,475,476,477,479,
482,483,484,501,504,505,506,522,523,528,529,531,532,533,536,537,538,539,541,
549,557,569,570,571,572,583,584,585,586,587,588,589,590,591,592,593,595,596,
597,598,599,600,612,613,615,616,617,618,619,620,621,623,734,737,740,741,767,
787,788,809,810,811,812,865,883,886,887,888,922,933,938,951,953,960,962,1049,
1070,1073,1074,1075,1076,1080,1095,1116,1118,1120,1123,1130,1137,1138,1140,
1143,1144,1145,1146,1147,1148,1149,1150,1151,1156,1183,1184,1187,1188,1191,
1192,1193,1194,1195,1202,1212,1223,1229,1232,1234,1235,1236,1237,1238,1239,
1240,1241,1242,1243,1245,1253,1258,1260,1261,1264,1492,1513,1516,1564,1565,
1586,1587,1615,1620,1643,1681,1700,1701,1705,1706,1887,1911,1912,1915,1916,
1917,1919,1932,1933,1962,1963,1972,2005,2012,2013,2024,2025,2026,2027,2028,
2029,2051,2052,2312,2316,2317,2318,2390,2399,2401,2404,2415,2424,2426,2437,
2671,2730,3029,3036,3057,3075,3084,3086,3091,3577],[1,2,4,5,6,8,9,10,11,12,13,
19,20,22,23,24,29,31,35,40,41,42,43,44,46,50,51,57,65,71,73,74,75,76,77,82,87,
88,100,101,107,108,121,140,143,153,154,155,156,157,158,160,161,162,163,164,172
,177,178,188,189,200,205,206,207,209,210,218,219,221,236,237,239,240,241,257,
258,260,261,262,263,280,281,282,331,332,346,347,386,388,390,408,409,446,448,
452,480,481,501,505,506,508,521,522,523,524,525,551,562,569,570,571,572,575,
576,577,578,579,580,592,604,618,619,620,621,688,689,690,742,743,769,799,800,
809,865,914,916,931,936,938,944,946,951,962,1040,1044,1050,1052,1066,1067,1068
,1070,1079,1080,1081,1082,1116,1137,1138,1140,1143,1160,1217,1218,1219,1220,
1221,1222,1223,1224,1225,1228,1229,1230,1231,1232,1234,1235,1456,1564,1565,
1571,1643,1644,1660,1663,1673,1675,1679,1701,1710,1853,1854,1873,1882,1912,
1920,1921,1923,1924,1925,1935,1947,1951,2018,2022,2023,2026,2308,2310,2388,
2390,2391,2392,2394,2399,2426,2464,2651,2710,3016,3017,3054,3055,3072,3077,
3084,3578],[1,2,4,5,6,9,10,11,12,13,19,20,22,23,24,28,32,40,41,44,50,51,57,65,
71,73,74,75,76,77,82,87,88,100,101,107,108,118,139,141,153,155,156,157,158,159
,160,161,162,168,173,174,199,205,206,207,208,218,219,221,236,237,239,240,241,
257,258,260,261,262,263,280,281,282,331,332,346,347,381,383,405,445,449,474,
479,500,507,521,522,523,524,525,528,536,569,570,571,572,574,576,577,578,579,
586,597,618,619,620,621,688,689,690,742,743,769,799,800,809,857,911,915,930,
942,945,955,961,1039,1041,1045,1046,1066,1067,1068,1069,1078,1083,1115,1137,
1138,1139,1142,1156,1217,1218,1219,1220,1221,1222,1223,1224,1225,1228,1229,
1230,1231,1232,1234,1235,1456,1562,1563,1642,1658,1665,1669,1672,1678,1699,
1708,1851,1852,1874,1875,1913,1920,1921,1923,1924,1925,1934,1948,1950,2018,
2022,2023,2026,2307,2309,2387,2389,2393,2398,2427,2465,2650,2710,3014,3015,
3052,3053,3073,3076,3083,3579],[1,2,4,5,6,8,9,10,11,12,13,22,24,29,31,40,41,42
,46,49,50,51,57,73,74,78,82,96,100,101,102,121,141,144,145,148,153,155,157,160
,162,172,206,207,218,236,237,238,257,258,259,316,386,388,409,447,450,451,503,
513,520,521,522,524,569,573,576,577,611,618,619,622,671,687,688,716,717,867,
873,946,1058,1059,1067,1084,1217,1225,1226,1231,1232,1233,1271,1388,1577,1579,
1580,1647,1817,1818,1845,1847,1907,1922,1925,1957,1958,2350,2397,2595,2616,
3011,3012,3082,3580],[1,2,3,4,5,6,9,10,12,13,15,16,17,19,20,21,22,23,25,28,29,
31,32,33,35,40,41,42,44,45,50,51,52,55,56,62,65,68,70,71,73,74,75,76,77,79,80,
81,87,91,92,93,101,103,106,107,108,109,110,118,153,155,156,159,160,162,163,165
,166,168,172,173,174,177,178,179,180,182,183,184,185,186,187,188,189,190,195,
199,200,201,204,206,208,209,219,221,231,232,239,241,244,245,247,248,249,258,
262,264,267,268,270,272,275,278,279,280,281,282,283,284,287,288,331,332,338,
339,347,350,351,366,369,380,381,382,383,405,474,479,480,481,482,483,484,485,
486,487,488,489,497,498,521,522,526,527,528,536,547,548,549,550,551,552,553,
554,555,556,557,559,560,561,562,569,574,575,576,581,582,586,590,591,592,593,
595,597,602,603,604,607,609,613,617,619,623,697,701,702,703,743,757,761,765,
774,799,803,804,806,810,812,848,849,852,876,877,878,879,880,881,882,884,894,
895,911,915,918,919,924,929,930,939,942,943,945,954,955,958,961,1125,1126,1134
,1135,1156,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1181,1202,1203,
1215,1216,1225,1227,1243,1245,1254,1256,1460,1535,1536,1537,1538,1539,1540,
1541,1542,1552,1554,1606,1607,1608,1609,1613,1614,1617,1618,1626,1627,1628,
1629,1630,1631,1632,1633,1648,1653,1654,1655,1658,1659,1665,1666,1668,1669,
1672,1674,1678,1680,1682,1684,1685,1691,1694,1699,1702,1703,1704,1708,1709,
2009,2011,2304,2305,2352,2353,2354,2355,2358,2360,2361,2362,2363,2364,2365,
2369,2370,2373,2374,2376,2377,2378,2379,2380,2381,2382,2383,2384,2428,2429,
2430,2432,2433,2435,2436,2438,2439,2444,2445,2446,2447,2452,2453,2462,2465,
3024,3025,3026,3027,3096,3097,3098,3099,3100,3101,3102,3103,3105,3106,3108,
3581],[1,2,3,4,5,6,8,9,15,16,17,19,20,23,24,25,31,32,34,35,38,41,42,44,45,46,
52,56,75,88,92,93,96,97,98,99,105,106,111,116,117,121,139,145,156,165,166,177,
178,186,190,195,197,200,204,207,253,275,277,333,344,345,349,353,357,358,359,
360,361,367,379,409,449,455,471,480,487,489,497,502,511,526,548,565,566,567,
568,608,611,617,625,733,807,839,840,842,843,844,866,927,1087,1089,1141,1215,
1275,1276,1277,1278,1282,1288,1508,1514,1526,1646,1689,1901,1940,2019,2020,
2021,2045,2070,2075,2412,2455,2731,2739,2740,2741,3107,3582],[1,2,3,4,8,9,15,
16,17,19,20,23,24,25,34,37,38,43,46,52,56,75,88,92,93,96,97,98,99,105,106,111,
116,117,119,154,164,191,192,193,194,197,203,210,253,275,277,333,344,345,349,
353,357,358,359,360,361,368,371,403,406,496,499,558,564,580,596,610,733,807,
839,840,842,843,844,850,851,902,907,912,917,920,948,956,1182,1508,1543,1544,
1551,1556,1557,1558,1559,1610,1611,1616,1635,1657,1667,1695,1696,2306,2359,
2366,2367,2368,2375,2385,2440,2441,2456,2457,2458,2459,2983,3028,3109,3110,
3111,3112,3113,3583],[1,2,4,5,9,12,13,26,27,28,32,40,50,130,132,134,136,139,
173,215,420,428,429,500,627,650,656,660,971,1290,1291,1343,1356,1366,2080,2179
,2185,3115,3584],[1,2,4,6,10,13,19,26,27,29,35,44,65,130,132,134,136,140,189,
216,423,429,433,505,627,651,658,661,984,1290,1291,1344,1357,1371,2080,2180,
2187,3116,3585],[1,2,5,9,10,22,26,27,28,40,73,130,136,139,168,215,414,420,423,
438,445,627,660,663,1007,1291,1343,1356,1374,2083,2166,2197,3115,3586],[1,2,4,
6,10,12,22,26,27,29,31,42,74,130,135,136,140,172,216,414,423,424,438,448,627,
659,661,664,1006,1291,1344,1357,1375,2083,2167,2198,3116,3587],[1,2,4,5,13,24,
26,27,40,41,100,130,132,134,136,160,207,215,217,415,418,429,618,627,650,652,
654,663,986,1290,1291,1363,1365,1378,1712,2077,2079,2080,2225,2468,2469,2743,
3117,3118,3119,3588],[1,2,3,6,10,16,23,26,27,29,33,45,79,130,131,136,140,185,
216,416,423,430,436,453,627,653,655,661,1019,1291,1344,1357,1369,2082,2169,
2204,3116,3589],[1,2,4,5,9,19,23,26,27,28,32,41,75,130,132,136,139,179,215,416
,420,433,436,449,627,652,656,660,1022,1291,1343,1356,1370,2082,2168,2202,3115,
3590],[1,3,4,5,21,24,26,27,30,41,85,132,133,134,137,181,207,215,217,415,434,
601,627,652,654,657,662,1290,1292,1363,1372,1712,2077,2081,2468,2470,2746,3117
,3122,3591],[1,4,5,24,25,26,27,41,99,132,134,202,207,215,217,415,419,624,627,
652,654,1290,1355,1363,1712,2077,2078,2468,2748,3117,3123,3592],[1,3,4,5,21,24
,25,26,27,30,41,114,132,133,134,137,181,202,207,215,217,415,418,419,434,594,
627,652,654,657,662,998,1290,1292,1355,1363,1365,1372,1712,2078,2079,2081,2214
,2468,2470,2744,3119,3122,3123,3593],[1,4,5,24,26,27,41,116,132,134,207,215,
217,415,418,626,627,652,654,1290,1363,1365,1712,2079,2468,2745,3119,3594],[1,2
,4,5,13,22,23,26,27,40,41,108,130,132,134,136,160,199,201,215,217,414,416,429,
436,438,613,627,650,652,654,663,997,1011,1290,1291,1351,1353,1373,1378,1381,
1712,2080,2082,2083,2220,2222,2468,2469,2749,3118,3120,3121,3595],[1,2,3,4,5,
13,21,25,26,27,30,40,41,91,130,132,133,134,136,137,160,181,202,215,217,419,429
,434,490,627,650,652,654,657,662,663,1290,1291,1292,1355,1372,1378,1712,2078,
2080,2081,2468,2469,2470,2747,3118,3122,3123,3596],[1,2,3,4,10,11,12,13,14,15,
16,17,19,21,22,23,24,25,26,49,51,55,57,62,63,64,65,66,67,68,69,70,78,82,85,86,
89,90,91,96,99,100,101,102,103,104,105,108,109,110,111,112,113,114,130,131,132
,135,136,220,228,233,244,251,252,257,259,264,265,266,273,274,300,301,302,303,
304,305,316,326,327,328,329,330,332,334,336,339,340,343,344,414,416,417,421,
422,423,424,425,426,427,429,430,431,432,433,435,437,671,684,685,686,727,730,
734,756,768,777,790,792,829,967,968,970,972,973,974,975,976,978,981,982,983,
984,985,987,988,989,990,995,996,997,999,1001,1002,1004,1005,1008,1009,1010,
1013,1014,1015,1018,1023,1024,1025,1408,1476,1481,1714,1715,1717,1723,1727,
1728,1729,1731,1733,1734,1736,1737,1738,1740,1741,1744,1745,1753,1754,1755,
1757,1762,1767,1768,1769,1770,1771,1772,1773,1774,1779,1780,2243,2472,2473,
2484,2485,2490,2492,2508,2509,2511,2516,2517,2518,2522,3124,3131,3135,3597],[1
,2,3,4,10,11,12,13,14,15,16,17,19,21,23,24,25,26,51,55,57,62,63,64,65,67,68,69
,70,82,89,90,91,100,102,103,104,105,106,107,110,111,112,113,114,130,131,132,
135,136,228,233,238,240,243,249,251,252,254,255,257,264,265,266,273,274,334,
336,337,343,348,349,415,416,417,421,422,423,424,425,426,427,429,430,431,432,
433,435,437,716,719,724,727,730,738,739,756,787,790,791,796,968,970,972,973,
974,975,978,981,982,983,984,986,989,990,991,992,993,994,995,996,999,1001,1002,
1004,1008,1009,1010,1013,1018,1023,1024,1472,1481,1487,1715,1717,1724,1725,
1726,1727,1728,1731,1734,1737,1738,1740,1741,1748,1751,1757,1759,1760,1766,
1779,1780,1785,1786,2265,2482,2484,2486,2488,2490,2499,2503,2504,2505,2514,
2516,2522,3131,3132,3134,3598],[1,2,3,4,9,10,11,12,13,14,15,16,17,19,21,22,23,
24,25,26,50,51,52,54,55,57,62,63,64,65,67,68,69,70,73,74,75,76,77,79,80,81,82,
89,90,91,100,101,103,104,105,108,109,110,111,112,117,130,131,132,135,136,218,
228,229,232,233,234,236,237,242,243,244,245,247,252,257,258,264,265,266,273,
274,281,283,284,285,286,287,290,334,336,340,353,354,355,417,420,421,422,423,
424,425,426,427,428,429,430,431,432,433,435,436,437,438,667,688,694,695,696,
700,701,727,730,756,767,779,780,784,788,790,836,968,969,970,971,972,973,974,
975,977,978,979,980,981,982,983,984,990,995,996,999,1000,1002,1003,1006,1007,
1008,1009,1010,1011,1012,1016,1017,1018,1019,1020,1021,1022,1023,1024,1026,
1432,1450,1453,1469,1481,1715,1716,1717,1718,1719,1720,1728,1731,1732,1734,
1735,1737,1739,1740,1741,1742,1743,1746,1747,1749,1750,1757,1763,1764,1765,
1775,1776,1777,1778,1779,1780,1787,1788,1789,2272,2471,2477,2479,2484,2490,
2491,2493,2494,2496,2497,2501,2502,2516,2519,2520,2522,2523,3129,3130,3131,
3143,3151,3599],[1,2,3,4,10,11,12,13,14,15,16,17,19,21,23,24,25,26,49,51,55,57
,62,63,64,65,66,67,68,69,70,78,82,85,86,89,90,91,96,99,100,102,103,104,105,106
,107,110,113,114,117,130,131,132,135,136,220,228,233,240,243,249,251,257,259,
264,265,266,273,274,300,301,302,303,304,305,316,326,327,328,329,330,336,337,
343,344,348,349,353,354,355,415,416,417,421,422,423,424,425,426,427,429,430,
431,432,433,435,437,671,684,685,686,738,739,756,768,779,780,787,791,824,825,
829,836,840,846,967,968,970,972,973,974,975,976,978,981,982,983,984,985,986,
989,990,991,992,993,994,999,1001,1002,1004,1005,1008,1009,1010,1013,1014,1015,
1018,1023,1024,1025,1026,1408,1469,1472,1495,1502,1714,1715,1717,1724,1725,
1726,1727,1729,1731,1733,1734,1736,1737,1738,1740,1741,1744,1745,1759,1760,
1762,1767,1768,1769,1770,1771,1772,1773,1774,1779,1780,1785,1786,1787,1788,
1789,2279,2472,2486,2488,2490,2492,2504,2505,2508,2509,2517,2518,2519,2520,
2523,2528,2529,2530,2531,3124,3130,3134,3146,3149,3600],[1,2,3,4,10,11,12,13,
14,15,16,17,19,21,22,23,24,25,26,51,55,57,62,63,64,65,67,68,69,70,82,89,90,91,
100,101,102,103,104,105,108,109,110,111,112,113,114,117,130,131,132,135,136,
228,233,238,244,251,252,254,255,257,264,265,266,273,274,332,334,336,339,340,
343,353,354,355,414,416,417,421,422,423,424,425,426,427,429,430,431,432,433,
435,437,716,719,724,734,756,777,779,780,790,792,796,836,968,970,972,973,974,
975,978,981,982,983,984,987,988,989,990,995,996,997,999,1001,1002,1004,1008,
1009,1010,1013,1018,1023,1024,1026,1469,1476,1487,1715,1717,1723,1727,1728,
1731,1734,1737,1738,1740,1741,1748,1751,1753,1754,1755,1757,1766,1779,1780,
1787,1788,1789,2277,2473,2482,2484,2485,2490,2499,2503,2511,2514,2519,2520,
2523,3130,3132,3135,3601],[1,2,3,4,9,10,11,12,13,14,15,16,17,19,21,22,23,24,25
,26,49,50,51,52,54,55,57,62,63,64,65,66,67,68,69,70,73,74,75,76,77,78,79,80,81
,82,85,86,89,90,91,96,99,100,101,102,103,104,105,108,109,110,113,114,130,131,
132,135,136,218,220,228,229,232,233,234,236,237,238,242,243,244,245,247,254,
255,257,258,259,264,265,266,273,274,281,283,284,285,286,287,290,300,301,302,
303,304,305,316,326,327,328,329,330,336,340,343,344,420,421,422,423,424,425,
426,427,428,429,430,431,432,433,435,436,437,438,667,671,684,685,686,687,688,
691,692,693,694,695,696,700,701,716,717,719,720,721,723,724,756,767,768,784,
788,796,829,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,
983,984,985,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,
1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1388,
1390,1391,1392,1393,1395,1408,1427,1432,1487,1489,1714,1715,1716,1717,1718,
1719,1720,1729,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,
1743,1744,1745,1746,1747,1748,1749,1750,1751,1762,1763,1764,1765,1766,1767,
1768,1769,1770,1771,1772,1773,1774,1775,1776,1777,1778,1779,1780,2246,2471,
2472,2476,2477,2478,2479,2482,2483,2490,2491,2492,2493,2494,2495,2496,2497,
2498,2499,2500,2501,2502,2503,2508,2509,2513,2514,2515,2517,2518,3124,3128,
3129,3132,3133,3137,3138,3139,3140,3141,3142,3602],[1,2,3,4,9,10,11,12,13,14,
15,16,17,19,21,22,23,24,25,26,50,51,52,54,55,57,62,63,64,65,67,68,69,70,73,74,
75,76,77,79,80,81,82,89,90,91,100,101,103,104,105,106,107,108,109,110,111,112,
130,131,132,135,136,218,228,229,232,233,234,236,237,240,242,243,244,245,247,
249,251,252,257,258,264,265,266,273,274,281,283,284,285,286,287,290,331,332,
333,334,335,336,337,338,339,340,346,347,348,349,350,351,414,415,416,417,420,
421,422,423,424,425,426,427,428,429,430,431,432,433,435,436,437,438,667,688,
694,695,696,700,701,734,735,737,738,739,740,741,756,767,776,777,784,787,788,
790,791,792,794,809,810,811,812,968,969,970,971,972,973,974,975,977,978,979,
980,981,982,983,984,986,987,988,989,990,991,992,993,994,995,996,997,999,1000,
1002,1003,1006,1007,1008,1009,1010,1011,1012,1016,1017,1018,1019,1020,1021,
1022,1023,1024,1419,1432,1472,1474,1475,1476,1478,1491,1492,1715,1716,1717,
1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1731,1732,1734,1735,
1737,1739,1740,1741,1742,1743,1746,1747,1749,1750,1752,1753,1754,1755,1756,
1757,1758,1759,1760,1761,1763,1764,1765,1775,1776,1777,1778,1779,1780,1781,
1782,1783,1784,1785,1786,2266,2471,2473,2474,2475,2477,2479,2484,2485,2486,
2487,2488,2489,2490,2491,2493,2494,2496,2497,2501,2502,2504,2505,2506,2507,
2510,2511,2512,2524,2525,2526,2527,3127,3129,3134,3135,3136,3144,3145,3147,
3148,3603],[1,2,3,4,10,11,12,13,14,15,16,17,19,21,23,24,25,27,51,55,57,62,63,
64,65,67,68,69,70,77,79,82,87,89,90,91,92,100,102,103,104,105,106,107,110,113,
114,116,133,134,137,219,227,228,233,238,239,240,246,249,254,255,257,263,264,
265,266,268,271,273,274,279,284,336,337,343,352,356,357,418,419,434,665,689,
697,698,699,716,719,724,756,759,778,783,785,787,796,835,998,1431,1447,1449,
1471,1487,1730,2267,2480,2481,2521,3125,3126,3150,3604],[1,2,4,5,6,8,10,12,22,
28,29,31,32,34,40,42,74,118,119,120,121,128,143,168,172,174,206,366,367,371,
380,381,384,385,386,411,454,597,629,634,638,848,876,877,883,1294,1295,1310,
1325,1535,1791,2086,2087,2097,2533,2758,3152,3605],[1,2,3,5,6,8,10,16,23,28,29
,30,33,37,40,45,79,118,119,120,121,128,143,168,175,185,205,366,368,372,381,382
,386,391,392,412,458,598,629,634,638,849,876,878,887,1294,1300,1311,1326,1538,
1791,2086,2090,2098,2534,2760,3152,3606],[1,2,4,5,6,7,8,9,19,23,32,35,38,39,40
,43,44,75,118,120,121,122,123,124,125,126,139,141,142,145,153,154,156,180,194,
195,201,203,204,369,373,374,375,376,377,378,379,405,407,408,449,457,467,471,
484,496,497,629,630,631,632,857,858,859,860,861,862,863,864,866,867,868,911,
913,914,924,925,926,958,959,960,1293,1305,1306,1307,1308,1515,1519,1520,1521,
1522,1523,1524,1525,1526,1527,1528,1685,1686,1687,1790,2085,2101,2103,2104,
2105,2106,2107,2108,2110,2532,2776,2799,2801,2802,2803,2804,2805,3157,3607],[1
,4,5,6,7,8,25,32,35,38,39,98,118,120,121,122,123,124,125,126,369,373,374,375,
376,377,378,379,629,630,631,632,852,853,855,1305,1306,1307,1308,1561,1790,2532
,3161,3608],[1,4,5,6,7,8,25,32,35,38,39,97,118,120,121,122,123,124,125,126,369
,373,374,375,376,377,378,379,629,630,631,632,852,854,856,1305,1306,1307,1308,
1560,1790,2532,3162,3609],[1,2,4,5,6,7,8,10,13,28,29,32,35,38,39,40,44,51,118,
120,121,122,123,124,125,126,155,168,173,189,366,369,373,374,375,376,377,378,
379,381,386,387,393,405,536,629,630,631,632,876,884,904,906,918,930,1294,1297,
1305,1306,1307,1308,1317,1319,1617,1790,2086,2128,2131,2136,2532,2535,2787,
3158,3163,3610],[1,3,4,5,6,7,8,18,21,32,33,35,36,38,39,45,47,72,118,120,121,
122,123,124,125,126,167,183,196,198,369,370,373,374,375,376,377,378,379,382,
394,395,396,397,398,410,563,629,630,631,632,894,896,898,899,900,901,928,950,
1301,1302,1305,1306,1307,1308,1322,1323,1641,1790,2089,2132,2133,2146,2532,
2536,2792,3159,3164,3611],[1,2,3,4,5,6,7,8,13,16,21,28,29,32,33,35,36,38,39,40
,44,45,47,68,118,120,121,122,123,124,125,126,166,173,182,183,185,189,198,366,
369,370,373,374,375,376,377,378,379,381,382,386,387,393,394,395,396,397,398,
405,410,554,629,630,631,632,878,884,894,897,898,899,900,901,904,906,918,928,
943,949,1294,1297,1301,1302,1305,1306,1307,1308,1317,1319,1322,1323,1632,1640,
1790,2094,2128,2131,2132,2133,2144,2145,2532,2535,2536,2793,3158,3159,3167,
3612],[1,2,4,5,6,7,8,12,13,19,20,28,29,31,32,34,35,38,39,40,41,42,44,46,71,118
,120,121,122,123,124,125,126,162,163,172,173,174,177,178,179,189,190,197,366,
367,369,373,374,375,376,377,378,379,380,381,383,384,385,386,387,388,389,393,
399,400,401,402,405,409,560,562,629,630,631,632,877,880,882,883,884,891,892,
893,895,904,906,908,909,910,918,927,929,942,946,947,1294,1295,1297,1303,1304,
1305,1306,1307,1308,1317,1318,1319,1320,1321,1618,1626,1639,1790,2087,2093,
2128,2129,2131,2134,2135,2139,2140,2142,2143,2532,2535,2537,2788,2794,3158,
3160,3165,3166,3613],[1,2,4,5,6,8,10,13,19,28,29,32,35,40,41,43,44,65,118,119,
120,121,128,143,160,168,173,179,180,189,366,369,381,383,386,390,405,406,407,
408,413,506,557,629,634,638,876,880,881,918,938,945,1293,1294,1296,1309,1324,
1628,1791,2086,2092,2120,2538,2765,3152,3614],[1,2,4,5,6,7,8,13,25,28,29,32,35
,38,39,40,44,103,118,120,121,122,123,124,125,126,173,189,366,369,373,374,375,
376,377,378,379,381,386,387,393,405,629,630,631,632,852,853,854,855,856,884,
904,906,918,1294,1297,1305,1306,1307,1308,1317,1319,1608,1790,2128,2131,2532,
2535,3158,3161,3162,3615],[1,3,4,5,6,7,8,21,25,32,33,35,36,38,39,45,47,115,118
,120,121,122,123,124,125,126,183,198,369,370,373,374,375,376,377,378,379,382,
394,395,396,397,398,410,629,630,631,632,852,853,854,855,856,894,898,899,900,
901,928,1301,1302,1305,1306,1307,1308,1322,1323,1612,1790,2132,2133,2532,2536,
3159,3161,3162,3616],[1,2,4,5,6,7,8,9,12,13,28,29,32,35,40,41,43,44,50,118,120
,121,122,123,124,125,126,139,141,142,145,153,154,156,160,162,173,174,188,189,
366,369,381,383,386,387,390,393,405,407,408,500,507,522,528,551,629,630,631,
632,857,858,859,860,861,862,863,864,866,867,868,911,913,914,918,919,938,942,
944,945,1293,1294,1296,1297,1317,1319,1552,1584,1592,1601,1602,1642,1669,1673,
1790,2085,2103,2104,2105,2106,2107,2108,2120,2121,2535,2770,2772,2777,2845,
2849,3157,3617],[1,2,3,4,5,6,7,8,9,15,16,30,31,32,33,34,37,40,41,42,43,44,45,
46,52,118,120,121,122,123,124,125,126,139,141,142,145,153,154,156,165,166,170,
175,182,184,191,193,367,372,380,382,383,384,385,388,389,391,392,399,400,401,
402,405,407,408,409,502,511,526,529,552,558,629,630,631,632,857,858,859,860,
861,862,863,864,866,867,868,911,913,914,921,922,933,934,939,940,941,943,1293,
1295,1300,1303,1304,1318,1320,1321,1553,1585,1588,1589,1596,1597,1598,1599,
1646,1668,1670,1671,1790,2085,2103,2104,2105,2106,2107,2108,2122,2123,2537,
2773,2774,2778,2843,2846,2847,3157,3618],[1,2,5,6,7,8,9,10,22,28,29,40,43,44,
73,118,120,121,122,123,124,125,126,139,141,142,145,153,154,155,156,159,168,199
,206,208,366,381,386,387,393,405,407,408,445,447,474,569,574,629,630,631,632,
857,858,859,860,861,862,863,864,866,867,868,911,913,914,915,930,937,953,955,
961,1293,1294,1297,1317,1319,1512,1562,1566,1577,1578,1658,1664,1678,1790,2085
,2103,2104,2105,2106,2107,2108,2116,2118,2535,2779,2783,2797,2811,2813,3157,
3619],[1,2,4,5,6,7,8,9,19,23,31,32,34,40,41,42,43,44,46,75,118,120,121,122,123
,124,125,126,139,141,142,145,153,154,156,158,163,164,177,200,205,209,210,367,
380,383,384,385,388,389,399,400,401,402,405,407,408,409,449,455,480,570,575,
580,629,630,631,632,857,858,859,860,861,862,863,864,866,867,868,911,913,914,
916,929,931,932,951,952,954,962,1293,1295,1303,1304,1318,1320,1321,1514,1563,
1567,1568,1572,1573,1574,1575,1659,1660,1661,1679,1790,2085,2103,2104,2105,
2106,2107,2108,2117,2119,2537,2780,2781,2782,2798,2814,2815,3157,3620],[1,3,4,
5,6,7,8,21,25,32,33,35,36,38,39,45,47,84,118,120,121,122,123,124,125,126,183,
198,369,370,373,374,375,376,377,378,379,382,394,395,396,397,398,410,629,630,
631,632,852,853,855,894,898,899,900,901,928,1301,1302,1305,1306,1307,1308,1322
,1323,1546,1790,2132,2133,2532,2536,3159,3161,3621],[1,3,4,5,6,7,8,21,25,32,33
,35,36,38,39,45,47,83,118,120,121,122,123,124,125,126,183,198,369,370,373,374,
375,376,377,378,379,382,394,395,396,397,398,410,629,630,631,632,852,854,856,
894,898,899,900,901,928,1301,1302,1305,1306,1307,1308,1322,1323,1545,1790,2132
,2133,2532,2536,3159,3162,3622],[1,2,3,4,5,6,7,8,13,21,25,28,29,32,33,35,36,38
,39,40,44,45,47,91,118,120,121,122,123,124,125,126,173,183,189,198,366,369,370
,373,374,375,376,377,378,379,381,382,386,387,393,394,395,396,397,398,405,410,
629,630,631,632,852,854,856,884,894,898,899,900,901,904,906,918,928,1294,1297,
1301,1302,1305,1306,1307,1308,1317,1319,1322,1323,1541,1550,1790,2128,2131,
2132,2133,2532,2535,2536,3158,3159,3162,3623],[1,2,3,4,5,6,7,8,13,21,25,28,29,
32,33,35,36,38,39,40,44,45,47,91,118,120,121,122,123,124,125,126,173,183,189,
198,366,369,370,373,374,375,376,377,378,379,381,382,386,387,393,394,395,396,
397,398,405,410,629,630,631,632,852,853,855,884,894,898,899,900,901,904,906,
918,928,1294,1297,1301,1302,1305,1306,1307,1308,1317,1319,1322,1323,1541,1549,
1790,2128,2131,2132,2133,2532,2535,2536,3158,3159,3161,3624],[1,4,5,6,7,8,20,
25,31,32,34,35,38,39,41,42,46,93,118,120,121,122,123,124,125,126,178,190,197,
367,369,373,374,375,376,377,378,379,380,383,384,385,388,389,399,400,401,402,
409,629,630,631,632,852,853,855,882,892,893,895,908,909,910,927,1295,1303,1304
,1305,1306,1307,1308,1318,1320,1321,1542,1547,1790,2129,2134,2135,2532,2537,
3160,3161,3625],[1,4,5,6,7,8,20,25,31,32,34,35,38,39,41,42,46,93,118,120,121,
122,123,124,125,126,178,190,197,367,369,373,374,375,376,377,378,379,380,383,
384,385,388,389,399,400,401,402,409,629,630,631,632,852,854,856,882,892,893,
895,908,909,910,927,1295,1303,1304,1305,1306,1307,1308,1318,1320,1321,1542,
1548,1790,2129,2134,2135,2532,2537,3160,3162,3626],[1,2,4,5,6,7,8,9,19,23,31,
32,34,38,39,43,44,46,75,119,120,121,122,123,125,126,127,139,142,145,154,156,
164,177,194,200,203,210,367,376,389,399,400,401,403,404,406,407,449,455,467,
480,496,580,632,633,634,635,636,637,858,859,860,864,866,872,912,913,932,948,
952,956,1299,1304,1309,1330,1331,1332,1333,1514,1519,1572,1573,1574,1583,1661,
1667,1795,2102,2104,2111,2113,2114,2115,2124,2125,2539,2781,2786,2831,2858,
2859,2860,3168,3627],[1,2,3,4,5,6,8,9,15,16,30,31,32,33,34,37,40,42,43,44,45,
52,118,119,120,121,128,153,154,156,165,166,170,175,182,184,191,193,367,368,371
,372,380,382,384,385,391,392,405,406,407,408,411,412,413,526,529,552,558,629,
634,638,911,912,913,914,917,920,921,922,933,934,939,940,941,943,957,964,965,
1293,1295,1300,1309,1310,1311,1324,1325,1326,1551,1553,1668,1670,1671,1677,
1791,2085,2111,2112,2122,2123,2154,2156,2161,2162,2533,2534,2538,2778,2830,
2857,3169,3176,3177,3628],[1,2,4,5,6,8,10,13,28,29,32,35,38,40,44,46,51,118,
119,120,121,128,143,155,168,173,189,366,369,378,379,381,386,387,403,405,508,
536,629,634,638,876,884,906,918,930,1294,1305,1316,1317,1617,1791,2086,2128,
2136,2542,2787,3152,3629],[1,3,4,6,7,8,18,21,33,35,36,38,39,45,46,47,72,119,
120,124,126,129,152,167,183,196,198,370,375,377,378,395,396,397,398,403,410,
519,563,630,634,639,896,899,900,901,928,950,1301,1306,1316,1323,1641,1792,2089
,2133,2146,2543,2792,3153,3630],[1,2,4,5,6,8,10,12,23,28,29,31,38,40,41,42,46,
77,118,119,120,121,128,143,162,168,172,201,366,380,381,386,388,389,403,409,464
,482,629,634,638,849,876,877,946,1294,1318,1330,1539,1791,2086,2139,2147,2540,
2833,3152,3631],[1,2,4,5,6,7,8,10,12,23,28,29,31,39,40,41,42,46,77,118,120,121
,127,129,146,162,168,172,201,366,380,381,386,388,389,404,409,470,482,629,635,
639,849,876,877,946,1294,1318,1331,1539,1793,2086,2139,2147,2541,2833,3155,
3632],[1,4,5,6,7,8,20,25,31,32,35,39,41,42,46,93,118,120,121,127,129,151,161,
178,190,202,369,380,383,388,389,390,404,409,473,493,629,635,639,852,882,895,
936,1296,1318,1331,1542,1793,2088,2137,2148,2541,2837,3156,3633],[1,2,4,5,6,7,
8,13,22,23,28,29,32,35,38,39,40,44,108,118,120,121,122,123,124,125,126,173,189
,201,204,206,208,366,369,373,374,375,376,377,378,379,381,386,387,393,405,593,
595,629,630,631,632,848,849,884,904,906,918,958,961,1294,1297,1305,1306,1307,
1308,1317,1319,1607,1680,1790,2097,2099,2128,2131,2147,2149,2532,2535,2850,
2852,3158,3170,3171,3634],[1,4,5,6,7,8,25,32,35,38,39,117,118,120,121,122,123,
124,125,126,369,373,374,375,376,377,378,379,629,630,631,632,852,853,855,1305,
1306,1307,1308,1697,1790,2532,3161,3635],[1,4,5,6,7,8,25,32,35,38,39,117,118,
120,121,122,123,124,125,126,369,373,374,375,376,377,378,379,629,630,631,632,
852,854,856,1305,1306,1307,1308,1698,1790,2532,3162,3636],[1,2,4,5,6,7,8,9,19,
23,32,35,38,39,43,44,46,75,119,120,121,122,123,125,126,127,139,142,145,154,156
,164,194,195,203,204,210,373,374,376,377,378,379,401,403,404,406,407,449,467,
471,496,497,580,632,633,634,635,636,637,858,859,860,864,866,872,912,913,925,
948,956,959,1299,1308,1309,1314,1315,1316,1519,1520,1521,1524,1526,1572,1583,
1667,1686,1795,2102,2104,2111,2113,2114,2115,2153,2155,2545,2786,2801,2865,
2870,2871,3168,3637],[1,2,4,5,6,7,8,10,12,23,28,29,31,32,34,40,41,42,44,46,77,
118,120,121,122,123,124,125,126,155,162,168,172,174,201,204,366,367,380,381,
383,384,385,386,387,388,389,393,399,400,401,402,405,409,482,485,629,630,631,
632,849,876,877,883,930,942,946,958,1294,1295,1297,1303,1304,1317,1318,1319,
1320,1321,1539,1691,1790,2086,2087,2136,2139,2143,2147,2149,2535,2537,2832,
2833,3163,3165,3170,3638],[1,2,3,4,5,6,7,8,16,19,23,28,29,31,32,33,34,36,40,41
,42,44,45,46,47,92,118,120,121,122,123,124,125,126,163,166,177,179,182,185,201
,204,366,367,370,380,381,382,383,384,385,386,387,388,389,393,394,395,396,397,
398,399,400,401,402,405,409,410,488,489,629,630,631,632,849,878,880,891,897,
929,943,947,949,958,1294,1295,1297,1301,1302,1303,1304,1317,1318,1319,1320,
1321,1322,1323,1540,1694,1790,2093,2094,2140,2142,2144,2145,2147,2149,2535,
2536,2537,2838,2839,3166,3167,3170,3639],[1,2,3,4,5,6,7,8,9,15,16,34,37,41,42,
43,44,45,46,52,119,120,121,122,123,125,126,127,139,142,145,154,156,165,166,191
,193,368,371,385,392,399,400,402,406,407,409,502,511,526,558,632,633,634,635,
636,637,858,859,860,864,866,872,912,913,917,920,934,941,1298,1309,1310,1311,
1312,1313,1321,1551,1597,1598,1599,1646,1671,1795,2102,2104,2111,2113,2114,
2115,2154,2156,2544,2771,2828,2829,2830,2847,3168,3640],[1,2,3,4,5,6,8,16,19,
23,30,31,33,37,38,40,41,42,43,44,45,46,92,118,119,120,121,128,158,163,164,166,
175,177,182,193,194,201,203,204,210,368,372,380,382,388,389,391,392,403,405,
406,407,408,409,412,413,488,489,491,499,610,629,634,638,916,920,921,929,931,
932,940,941,943,948,956,958,959,960,965,1293,1300,1309,1311,1318,1324,1326,
1330,1657,1688,1692,1693,1694,1791,2101,2117,2122,2125,2153,2156,2162,2534,
2538,2540,2826,2866,3175,3176,3180,3641],[1,2,3,4,5,6,8,16,19,23,30,32,33,35,
37,38,40,43,44,45,46,92,118,119,120,121,128,164,166,175,180,182,193,194,195,
200,203,205,209,210,368,369,372,378,379,382,391,392,403,405,406,407,408,412,
413,487,499,603,605,610,629,634,638,920,921,924,925,926,940,941,943,948,951,
952,954,956,962,965,1293,1300,1305,1309,1311,1316,1324,1326,1651,1652,1655,
1657,1683,1791,2110,2119,2122,2124,2155,2156,2162,2534,2538,2542,2819,2864,
3176,3178,3179,3642],[1,2,3,4,5,6,8,15,17,19,20,30,31,32,33,34,35,37,38,40,41,
42,43,44,45,46,56,118,119,120,121,128,158,163,164,165,170,176,177,178,180,184,
186,187,190,191,192,194,195,197,367,368,369,371,372,378,379,380,382,384,385,
388,389,391,392,403,405,406,407,408,409,411,412,413,535,548,550,564,629,634,
638,879,882,889,890,892,893,902,907,916,917,922,923,924,925,926,927,929,931,
932,933,934,939,948,964,1293,1295,1300,1305,1309,1310,1311,1316,1318,1324,1325
,1326,1330,1555,1621,1623,1631,1635,1791,2110,2117,2123,2125,2129,2130,2154,
2155,2157,2158,2161,2533,2534,2538,2540,2542,2817,2867,3175,3177,3178,3182,
3183,3643],[1,4,5,6,7,8,24,34,41,42,46,96,119,120,121,122,123,125,126,127,207,
371,385,399,400,402,409,565,566,611,632,633,634,635,636,637,850,1298,1310,1312
,1313,1321,1556,1689,1795,2100,2544,2751,2752,2753,2827,3644],[1,2,3,4,5,6,8,
15,23,30,31,32,33,34,37,40,42,43,44,45,106,118,119,120,121,128,165,170,184,191
,200,201,203,204,205,209,210,367,368,371,372,380,382,384,385,391,392,405,406,
407,408,411,412,413,589,591,596,617,629,634,638,917,922,933,934,939,951,952,
954,956,958,959,960,962,964,1293,1295,1300,1309,1310,1311,1324,1325,1326,1616,
1681,1703,1706,1707,1791,2101,2119,2123,2124,2153,2154,2161,2533,2534,2538,
2796,2868,3177,3179,3180,3645],[1,2,4,5,6,7,8,10,12,22,28,29,31,32,34,40,41,42
,44,46,74,118,120,121,122,123,124,125,126,155,162,168,172,174,206,208,366,367,
380,381,383,384,385,386,387,388,389,393,399,400,401,402,405,409,576,597,629,
630,631,632,848,876,877,883,930,942,946,961,1294,1295,1297,1303,1304,1317,1318
,1319,1320,1321,1535,1708,1790,2086,2087,2097,2099,2136,2139,2143,2535,2537,
2758,2841,3163,3165,3171,3646],[1,2,3,4,5,6,7,8,16,19,22,28,29,31,32,33,34,36,
40,41,42,44,45,46,47,80,118,120,121,122,123,124,125,126,163,166,177,179,182,
185,206,208,366,367,370,380,381,382,383,384,385,386,387,388,389,393,394,395,
396,397,398,399,400,401,402,405,409,410,581,602,629,630,631,632,848,878,880,
891,897,929,943,947,949,961,1294,1295,1297,1301,1302,1303,1304,1317,1318,1319,
1320,1321,1322,1323,1536,1709,1790,2093,2094,2097,2099,2140,2142,2144,2145,
2535,2536,2537,2762,2842,3166,3167,3171,3647],[1,2,4,5,6,8,9,19,23,32,35,38,40
,43,44,46,75,118,119,120,121,128,153,154,156,164,180,194,195,201,203,204,210,
369,378,379,403,405,406,407,408,413,484,496,497,580,629,634,638,911,912,913,
914,924,925,926,948,956,957,958,959,960,1293,1305,1309,1316,1324,1667,1685,
1686,1687,1791,2085,2101,2110,2111,2112,2153,2155,2538,2542,2776,2865,3169,
3178,3180,3648],[1,2,4,5,6,8,9,19,23,31,38,40,41,42,43,44,46,75,118,119,120,
121,128,153,154,156,158,163,164,177,194,200,203,205,209,210,380,388,389,403,
405,406,407,408,409,413,480,496,570,575,580,629,634,638,911,912,913,914,916,
929,931,932,948,951,952,954,956,957,962,1293,1309,1318,1324,1330,1659,1660,
1661,1667,1679,1791,2085,2111,2112,2117,2119,2124,2125,2538,2540,2798,2831,
3169,3175,3179,3649],[1,2,4,5,6,7,8,9,19,23,31,39,40,41,42,43,44,46,75,118,120
,121,127,129,142,153,154,156,158,163,164,177,200,205,209,210,380,388,389,404,
405,407,408,409,467,480,570,575,580,629,635,639,872,911,913,914,916,929,931,
932,951,952,954,962,963,1293,1318,1331,1583,1659,1660,1661,1679,1793,2085,2113
,2117,2119,2126,2541,2798,2858,3174,3650],[1,2,4,6,7,8,9,19,23,35,38,39,43,44,
46,75,119,120,124,126,129,141,142,145,154,156,164,194,195,203,204,210,375,377,
378,403,406,407,457,467,471,496,497,580,630,634,639,861,863,864,868,912,913,
925,948,956,959,963,1306,1309,1316,1522,1524,1525,1528,1667,1686,1792,2107,
2111,2126,2153,2155,2543,2804,2865,3172,3651],[1,2,3,4,5,6,7,8,9,15,16,34,37,
41,42,43,44,45,46,52,120,121,122,123,125,126,128,129,139,142,145,154,156,165,
166,191,193,385,392,399,400,402,407,409,411,412,413,502,511,526,558,632,638,
639,640,641,642,858,859,860,864,866,913,934,941,957,963,964,965,1321,1324,1325
,1326,1327,1328,1329,1597,1598,1599,1646,1671,1677,1796,2104,2112,2126,2150,
2151,2152,2161,2162,2546,2847,2857,2861,2862,2863,3173,3652],[1,4,8,20,27,34,
38,46,134,138,147,197,1334,1346,1349,3653],[1,3,7,18,27,36,47,133,138,149,196,
1334,1350,3654],[1,2,3,4,6,9,11,15,16,18,21,24,25,31,33,44,48,52,60,67,78,83,
84,85,86,105,111,144,156,182,184,214,222,301,306,311,333,439,451,459,510,552,
643,744,1033,1043,1093,1102,1797,1892,2548,3187,3655],[1,2,4,6,9,10,11,12,13,
19,20,22,23,29,35,44,48,50,57,65,71,73,75,76,77,87,107,108,140,141,156,188,189
,214,218,221,261,262,263,281,331,439,446,447,452,457,505,507,551,643,742,1033,
1040,1045,1079,1080,1098,1104,1797,1873,1891,2547,3186,3656],[1,2,4,6,9,10,12,
13,14,19,20,22,23,29,35,44,48,50,63,65,71,73,75,76,77,81,108,110,140,141,159,
189,195,214,221,227,281,286,288,289,339,439,446,447,452,457,505,507,561,644,
764,1033,1046,1048,1077,1080,1098,1103,1798,1884,1890,2547,3186,3657],[1,2,3,4
,5,9,11,15,16,18,21,41,48,49,52,60,66,67,72,139,157,214,220,222,235,442,502,
520,643,666,1042,1335,1799,1838,2164,2553,2872,3658],[1,2,3,4,8,9,11,15,16,18,
21,46,48,49,52,60,66,67,72,145,148,152,214,220,222,235,440,511,513,519,643,666
,1064,1335,1801,1906,2164,2550,2872,3659],[1,2,3,4,8,9,11,15,16,18,21,46,48,49
,52,60,66,67,72,145,148,152,214,220,222,235,440,511,513,519,643,666,1064,1335,
1801,1906,2164,2550,2872,3660],[1,2,3,4,6,9,11,15,16,18,21,42,44,45,48,49,52,
60,66,67,72,144,156,165,166,214,220,222,235,439,503,509,510,526,643,666,1033,
1043,1054,1055,1335,1797,1839,2164,2549,2872,3191,3661],[1,2,4,6,9,10,12,13,19
,22,23,25,29,35,44,48,50,65,73,75,76,77,103,107,108,110,140,141,189,204,208,
214,247,249,281,331,339,350,351,439,446,447,452,457,505,507,595,648,810,1033,
1080,1098,1118,1119,1142,1144,1803,1915,1918,2547,3186,3662],[1,2,3,4,6,11,15,
21,23,24,25,31,33,44,48,67,78,85,86,105,106,117,144,184,204,209,214,301,349,
353,439,451,459,510,591,649,846,1033,1093,1807,2548,3187,3663],[1,2,3,4,6,11,
15,17,19,20,21,24,25,31,33,35,42,44,48,56,67,78,85,86,88,93,105,116,144,163,
178,184,187,195,212,214,277,301,357,362,363,439,451,459,510,550,645,837,1027,
1033,1093,1804,2548,3185,3187,3664],[1,2,4,5,6,9,10,12,13,22,26,28,29,31,40,42
,50,51,73,74,101,118,130,139,140,168,172,258,366,380,381,414,445,446,448,500,
501,848,876,877,1069,1070,1343,1344,1535,2166,2167,3193,3665],[1,2,3,4,5,6,9,
10,15,16,19,22,23,26,28,29,32,33,41,45,52,62,73,75,79,80,109,118,130,139,140,
179,185,283,366,382,383,416,445,446,449,453,502,504,848,878,880,1071,1073,1343
,1344,1536,2168,2169,3193,3666],[1,4,8,14,20,24,25,27,34,38,46,53,88,93,104,
119,134,147,197,276,371,403,419,456,468,512,850,902,1088,1346,1543,2176,3194,
3667],[1,2,3,4,6,7,11,13,14,15,21,24,25,27,29,35,36,39,44,47,64,67,82,89,90,91
,105,124,134,144,150,189,198,274,375,393,395,418,450,460,462,463,510,515,855,
900,904,1090,1112,1345,1347,1549,2170,2174,3196,3668],[1,2,3,4,6,7,11,13,14,15
,21,24,25,27,29,35,36,39,44,47,64,67,82,89,90,91,105,124,134,144,150,189,198,
274,375,393,396,418,450,460,462,463,510,515,856,899,904,1090,1112,1345,1348,
1550,2170,2173,3195,3669],[1,4,8,14,20,24,25,27,34,38,46,53,88,93,104,123,134,
147,197,276,373,400,418,456,468,512,853,908,1088,1349,1547,2177,3197,3670],[1,
4,8,14,20,24,25,27,34,38,46,53,88,93,104,122,134,147,197,276,374,399,418,456,
468,512,854,909,1088,1349,1548,2177,3198,3671],[1,3,4,6,7,11,14,21,25,27,33,35
,36,39,45,47,59,66,84,86,89,94,115,124,134,144,150,183,198,312,375,394,396,419
,459,460,462,465,509,517,855,898,899,1101,1107,1345,1347,1546,2172,2175,3196,
3672],[1,3,4,6,7,11,14,21,25,27,33,35,36,39,45,47,58,66,83,86,89,95,115,124,
134,144,150,183,198,313,375,394,395,419,459,460,462,466,509,516,856,898,900,
1100,1106,1345,1348,1545,2171,2175,3195,3673],[1,2,4,5,6,9,11,12,13,26,28,32,
40,50,57,118,130,132,136,139,141,144,153,173,174,215,218,381,420,428,429,500,
528,650,857,971,1039,1058,1343,1356,1584,2179,2185,2294,2567,2873,3674],[1,2,4
,5,6,8,9,10,12,13,19,20,26,29,35,40,44,50,65,71,121,130,132,136,139,140,143,
145,147,155,156,188,189,215,221,386,420,428,429,500,505,551,650,865,866,971,
1040,1041,1060,1344,1356,1592,2180,2185,2295,2568,2875,3675],[1,2,4,5,6,8,9,10
,12,13,19,20,26,28,32,40,44,50,65,71,121,130,132,136,139,140,143,145,147,155,
156,173,180,216,221,387,423,429,433,500,505,556,651,865,866,984,1040,1041,1060
,1343,1357,1593,2179,2187,2295,2569,2877,3676],[1,2,4,5,6,8,9,11,12,13,26,28,
32,40,44,50,57,121,130,132,136,139,141,145,148,153,156,173,174,216,218,387,420
,428,429,500,507,528,651,866,867,971,1039,1045,1059,1343,1358,1602,2179,2189,
2300,2569,2873,3677],[1,2,4,6,7,9,10,12,13,19,20,26,29,35,44,50,65,71,124,130,
132,136,140,141,142,146,151,156,159,188,189,216,221,393,420,428,429,505,507,
551,651,861,869,971,1040,1046,1063,1344,1358,1601,2180,2189,2297,2570,2875,
3678],[1,2,4,6,7,10,13,14,19,26,29,35,44,63,65,124,130,132,136,140,146,150,159
,189,195,216,227,393,423,429,433,505,561,651,869,984,1048,1062,1344,1357,1595,
2180,2187,2296,2570,2879,3679],[1,2,3,4,5,6,8,9,11,15,16,18,21,26,28,30,41,44,
52,60,67,121,130,131,135,139,144,145,148,152,156,157,169,181,216,222,387,421,
425,432,502,510,543,651,866,873,972,1042,1043,1064,1343,1359,1603,2178,2191,
2302,2569,2874,3680],[1,2,4,5,6,9,10,12,13,19,22,23,26,28,29,32,35,40,44,50,65
,73,75,76,77,108,118,130,132,136,139,140,173,189,281,366,369,405,429,445,446,
449,452,500,505,848,849,918,1078,1080,1343,1344,1607,2179,2180,3193,3681],[1,3
,4,6,7,11,14,21,25,27,33,35,36,39,45,47,58,66,83,86,89,95,115,124,133,134,137,
144,150,183,198,313,370,375,410,434,459,460,462,466,509,516,855,856,928,1100,
1106,1345,1347,1612,2181,2183,3196,3682],[1,3,4,6,7,11,14,21,25,27,33,35,36,39
,45,47,59,66,84,86,89,94,115,124,133,134,137,144,150,183,198,312,370,375,410,
434,459,460,462,465,509,517,855,856,928,1101,1107,1345,1348,1612,2181,2182,
3195,3683],[1,2,4,5,6,9,11,12,13,26,40,50,57,118,135,136,139,141,144,153,215,
216,218,420,421,422,424,500,663,857,969,970,1038,1039,1058,1356,1358,1359,1360
,1720,2192,2294,2573,2899,2900,3684],[1,2,4,5,6,9,11,12,13,26,28,32,40,41,44,
50,57,118,130,132,136,139,141,153,156,157,160,162,173,174,215,218,381,383,405,
420,428,429,500,507,522,524,528,650,652,663,857,911,942,945,971,1039,1045,1067
,1343,1360,1378,1379,1642,1669,2179,2195,2307,2567,2873,3221,3685],[1,2,4,5,6,
8,9,10,12,13,19,20,26,29,35,40,41,43,44,50,65,71,121,130,132,136,140,143,153,
154,155,156,158,160,161,162,188,189,215,221,386,390,408,420,428,429,505,506,
522,523,525,551,650,652,663,865,914,938,944,971,1040,1044,1068,1344,1360,1378,
1379,1643,1673,2180,2195,2308,2568,2875,3220,3686],[1,2,4,5,6,9,10,12,13,22,26
,28,29,32,35,40,44,50,51,73,74,101,118,130,132,136,139,141,153,155,168,173,174
,189,199,206,215,258,366,369,381,405,414,429,445,447,474,479,500,528,536,569,
586,597,650,656,660,857,876,884,918,930,987,1069,1156,1343,1351,1361,1366,1512
,1562,1584,1617,2166,2179,2208,2311,2567,2883,3199,3208,3214,3687],[1,2,3,4,5,
6,8,9,10,15,16,19,22,23,26,28,30,31,32,33,34,37,40,41,43,44,52,62,73,75,79,80,
109,121,130,131,135,139,145,156,158,159,168,169,170,177,179,182,184,191,200,
208,216,283,367,372,387,388,408,414,416,425,445,449,455,480,486,502,537,547,
552,574,590,602,651,655,659,866,885,891,922,931,937,988,1071,1161,1343,1352,
1362,1367,1514,1566,1588,1619,2166,2168,2178,2209,2322,2569,2884,3201,3209,
3215,3688],[1,2,3,4,5,6,8,9,15,16,17,19,20,23,26,28,30,31,32,33,35,37,38,41,42
,44,46,52,56,75,92,106,121,130,131,135,139,145,156,161,163,169,176,178,179,182
,184,187,190,192,195,204,209,216,275,372,379,384,387,388,390,409,416,425,449,
471,488,497,502,534,550,552,575,591,603,651,655,659,866,885,888,892,903,923,
936,947,993,1089,1166,1343,1354,1364,1367,1526,1567,1588,1624,2168,2178,2210,
2323,2569,2889,3205,3209,3217,3689],[1,2,4,5,6,9,10,12,13,19,22,23,26,28,32,35
,40,41,44,50,65,73,75,76,77,108,118,130,132,136,139,141,153,155,160,168,173,
174,179,180,195,201,206,215,281,369,381,383,405,414,416,429,445,449,457,484,
485,500,528,556,557,569,593,607,650,656,660,857,881,884,924,930,945,997,1078,
1168,1343,1353,1361,1366,1515,1562,1584,1629,2166,2168,2179,2211,2330,2567,
2888,3203,3208,3214,3690],[1,2,3,4,5,6,8,10,12,13,15,16,17,19,22,23,26,28,29,
30,31,32,33,35,37,38,40,41,42,44,45,46,55,65,74,79,80,81,108,121,130,132,136,
140,143,155,162,165,169,172,173,175,176,180,184,185,186,187,189,192,201,206,
215,287,372,379,386,387,388,391,409,414,416,429,448,453,458,476,478,505,533,
549,556,576,593,600,650,656,660,865,885,887,889,906,923,935,946,997,1076,1152,
1344,1353,1361,1366,1516,1571,1593,1625,2167,2169,2180,2211,2319,2568,2890,
3202,3210,3216,3691],[1,2,4,5,6,8,10,12,13,19,20,22,26,28,29,31,32,34,35,38,40
,41,42,44,46,65,71,74,76,101,121,130,132,136,140,143,155,162,163,172,173,174,
177,178,179,180,189,190,197,199,206,215,282,367,379,384,386,387,388,409,414,
429,448,454,479,483,505,556,560,562,576,586,607,650,656,660,865,883,891,892,
906,927,946,947,987,1081,1167,1344,1351,1361,1366,1513,1571,1593,1639,2167,
2180,2208,2331,2568,2886,3200,3210,3216,3692],[1,2,4,5,6,8,9,10,12,13,19,22,23
,26,28,29,32,35,38,40,41,43,44,50,65,73,75,76,77,108,121,130,132,136,139,145,
156,159,160,168,173,179,180,188,189,194,195,204,208,216,281,379,386,387,390,
408,414,416,429,445,449,471,497,498,500,551,557,561,574,595,609,651,658,661,
866,903,906,926,937,938,997,1078,1181,1343,1354,1362,1371,1526,1566,1592,1634,
2166,2168,2179,2212,2345,2569,2888,3205,3211,3215,3693],[1,2,4,5,6,8,9,12,13,
19,20,23,26,28,29,31,32,34,35,38,40,41,42,44,46,50,71,75,87,107,121,130,132,
136,139,145,156,162,163,172,173,174,177,178,179,188,189,190,197,200,209,216,
262,367,379,384,386,387,388,409,416,429,449,455,480,481,500,551,560,562,575,
592,604,651,658,661,866,883,891,892,906,927,946,947,994,1083,1160,1343,1352,
1364,1371,1514,1567,1592,1639,2168,2179,2213,2329,2569,2887,3201,3211,3217,
3694],[1,2,3,4,5,6,8,11,13,16,21,24,25,27,29,30,33,35,37,40,41,43,44,45,66,68,
82,85,86,91,114,121,133,134,137,144,148,157,160,166,175,181,182,183,185,189,
193,202,207,217,304,372,386,390,391,408,418,419,434,450,459,469,490,495,509,
542,544,554,577,594,601,654,657,662,873,887,905,921,938,940,998,1092,1158,1345
,1355,1365,1372,1532,1579,1604,1637,2170,2175,2181,2214,2343,2571,2892,3206,
3213,3219,3695],[1,2,3,4,6,7,10,13,16,19,21,23,26,29,33,35,36,39,44,45,47,65,
68,79,92,107,124,130,132,136,140,146,159,166,182,183,185,189,195,198,200,209,
216,268,370,375,393,394,410,416,429,453,461,486,487,505,554,561,582,592,603,
651,658,661,869,897,898,904,928,949,994,1085,1163,1344,1352,1364,1371,1517,
1581,1595,1640,2169,2180,2213,2326,2570,2891,3204,3212,3218,3696],[1,4,8,20,24
,27,34,88,96,116,119,134,147,358,371,418,456,850,1346,1556,3194,3697],[1,4,8,
20,25,27,38,93,98,117,123,134,147,360,373,419,468,853,1349,1561,3197,3698],[1,
4,8,20,25,27,38,93,97,117,122,134,147,359,374,419,468,854,1349,1560,3198,3699]
,[1,2,4,5,6,8,10,13,19,22,23,26,29,35,40,41,43,44,65,108,110,121,130,132,136,
140,143,155,158,160,189,199,201,203,204,208,215,339,386,390,408,429,436,438,
505,506,523,595,613,615,650,652,663,865,938,953,960,1011,1144,1184,1344,1373,
1378,1381,1643,1705,2180,2222,2401,2568,2903,3220,3700],[1,2,4,5,6,9,12,13,22,
23,26,28,32,40,41,44,50,107,108,118,130,132,136,139,141,153,160,162,173,199,
201,204,206,215,331,381,383,405,429,436,438,500,507,522,593,613,616,650,652,
663,857,945,955,958,1011,1139,1183,1343,1373,1378,1381,1642,1704,2179,2222,
2400,2567,2902,3221,3701],[1,2,4,5,6,8,10,13,14,19,26,28,29,32,35,38,40,41,43,
44,63,65,121,130,132,136,140,143,155,158,159,160,168,171,173,179,180,189,194,
195,215,227,379,386,387,390,408,423,429,433,505,506,523,540,541,556,557,561,
650,652,656,660,663,865,903,906,926,937,938,984,1048,1124,1344,1366,1370,1374,
1376,1378,1593,1634,1643,2180,2216,2414,2568,2879,3210,3220,3702],[1,2,4,5,6,9
,10,12,13,19,20,26,28,32,35,40,41,44,50,65,71,118,130,132,136,139,141,153,155,
160,162,168,173,174,179,180,190,195,215,221,369,381,383,405,423,429,433,500,
507,522,528,556,557,559,560,650,652,656,660,663,857,881,884,924,930,945,984,
1041,1126,1343,1366,1370,1374,1376,1378,1584,1629,1642,2179,2216,2418,2567,
2877,3208,3221,3703],[1,2,3,4,5,6,8,9,12,13,15,16,17,21,26,28,29,30,31,32,33,
35,37,38,40,41,42,44,45,46,50,52,55,68,70,121,130,131,132,135,136,139,145,156,
162,165,166,169,172,173,175,176,182,183,184,185,186,187,188,189,192,216,232,
372,379,386,387,388,391,409,424,425,429,430,431,500,502,511,526,533,549,551,
552,553,554,555,651,653,655,658,659,661,664,866,885,887,889,906,923,935,946,
978,1051,1134,1343,1367,1368,1369,1371,1375,1377,1380,1588,1592,1625,1646,2178
,2179,2217,2421,2569,2878,3209,3211,3222,3704],[1,2,4,5,6,9,12,13,22,24,26,28,
32,40,41,44,50,100,101,118,130,132,136,139,141,153,160,162,173,199,206,207,208
,215,237,381,383,405,415,429,500,507,522,586,618,619,650,652,663,857,945,955,
961,986,1115,1232,1343,1363,1378,1642,1699,2179,2225,2398,2567,2880,3221,3705]
,[1,2,4,5,6,8,10,13,19,23,24,26,29,35,40,41,43,44,65,100,107,121,130,132,136,
140,143,155,158,160,189,200,205,207,209,210,215,240,386,390,408,415,429,505,
506,523,592,618,620,650,652,663,865,938,951,962,986,1116,1229,1344,1363,1378,
1643,1701,2180,2225,2399,2568,2882,3220,3706],[1,2,4,5,6,9,10,12,13,19,22,23,
26,28,29,32,35,40,41,44,50,65,73,75,76,77,108,118,130,132,136,139,141,153,160,
162,168,173,179,180,189,199,201,215,281,366,369,381,383,405,414,416,429,445,
447,449,457,474,482,483,484,500,507,522,557,613,650,652,663,857,876,880,881,
918,945,997,1078,1098,1202,1343,1351,1353,1378,1512,1515,1628,1642,2166,2168,
2179,2220,2407,2567,2888,3199,3203,3221,3707],[1,2,3,4,5,6,8,10,13,16,19,21,23
,26,29,30,33,35,37,40,41,43,44,45,65,68,79,92,107,121,130,132,136,140,143,155,
158,160,166,175,181,182,183,185,189,193,201,215,268,372,386,390,391,408,416,
429,453,458,476,491,505,506,523,544,554,616,650,652,663,865,887,905,921,938,
940,994,1085,1105,1199,1344,1353,1378,1516,1637,1643,2169,2180,2219,2402,2568,
2891,3202,3220,3708],[1,2,3,4,5,6,8,10,12,13,15,16,17,19,22,23,26,29,30,31,32,
33,34,35,37,40,41,42,43,44,45,55,65,74,79,80,81,108,121,130,132,136,140,143,
155,158,160,165,170,172,174,175,176,184,185,186,187,189,191,199,201,215,287,
367,372,384,386,390,391,408,414,416,429,448,453,454,458,475,476,477,479,505,
506,523,532,549,613,650,652,663,865,883,886,887,888,922,933,938,997,1076,1095,
1212,1344,1351,1353,1378,1513,1516,1620,1643,2167,2169,2180,2220,2404,2568,
2890,3200,3202,3220,3709],[1,2,4,5,6,9,12,13,19,20,23,26,28,32,35,40,41,44,50,
71,75,87,107,118,130,132,136,139,141,153,160,162,173,174,179,180,188,190,201,
215,262,369,381,383,405,416,429,449,457,484,494,500,507,522,559,560,616,650,
652,663,857,881,895,919,942,945,994,1083,1104,1208,1343,1353,1378,1515,1627,
1642,2168,2179,2219,2408,2567,2887,3203,3221,3710],[1,2,3,4,5,6,8,9,15,16,17,
19,20,23,26,28,30,31,32,34,35,38,41,42,44,45,46,52,56,75,92,106,121,130,131,
135,139,145,156,161,165,166,169,176,177,178,179,186,190,195,197,200,204,216,
275,367,379,387,388,390,391,409,416,425,449,455,471,480,487,489,497,502,511,
526,534,548,617,651,653,664,866,886,889,891,903,927,935,936,993,1087,1089,1215
,1343,1352,1354,1380,1514,1526,1622,1646,2168,2178,2221,2412,2569,2889,3201,
3205,3222,3711],[1,2,4,5,6,8,10,12,13,19,20,22,26,29,31,35,40,41,42,43,44,46,
65,71,74,76,101,121,130,132,136,140,143,155,158,160,161,162,163,164,172,177,
178,189,206,215,282,386,388,390,408,409,414,429,448,505,506,523,525,562,572,
576,619,650,652,663,865,916,931,936,938,946,987,1081,1222,1344,1361,1378,1571,
1643,1675,2167,2180,2226,2391,2568,2886,3216,3220,3712],[1,2,4,5,6,9,10,12,13,
22,26,28,32,40,41,44,50,51,73,74,101,118,130,132,136,139,141,153,155,159,160,
162,168,173,206,215,258,381,383,405,414,429,445,500,507,521,522,536,569,576,
619,650,652,663,857,915,930,945,987,1069,1225,1343,1361,1378,1562,1642,1672,
2166,2179,2226,2387,2567,2883,3214,3221,3713],[1,2,3,4,5,6,8,9,10,15,16,19,22,
23,26,28,30,32,40,41,42,43,44,45,46,52,62,73,75,79,80,109,121,130,131,135,139,
145,156,158,159,163,164,165,166,168,169,170,179,208,209,216,283,384,387,391,
408,409,414,416,425,445,449,502,511,526,527,537,574,575,581,582,623,651,653,
664,866,916,933,935,937,947,988,1071,1227,1343,1362,1364,1380,1566,1567,1646,
1676,2166,2168,2178,2227,2395,2569,2884,3215,3217,3222,3714],[1,2,4,5,6,9,10,
12,13,19,22,23,26,28,29,32,35,40,41,44,50,65,73,75,76,77,108,118,130,132,136,
139,141,153,160,162,168,173,179,180,189,199,201,215,216,281,366,369,405,420,
423,428,429,433,436,438,445,447,449,457,474,482,483,484,500,507,522,557,613,
650,651,652,656,658,660,661,663,857,918,971,984,1007,1011,1017,1021,1022,1038,
1078,1098,1202,1356,1358,1360,1366,1370,1371,1373,1374,1376,1378,1379,1381,
1512,1515,1642,1778,1810,1811,1812,2185,2189,2195,2197,2201,2202,2207,2215,
2216,2218,2222,2223,2224,2407,2573,2580,2922,2928,2938,3226,3231,3232,3715],[1
,2,4,5,6,9,12,13,22,24,26,40,41,44,50,100,101,118,130,132,136,139,141,153,160,
162,199,206,207,215,216,237,405,414,415,420,428,429,500,507,522,618,619,650,
651,652,663,857,955,971,986,987,1038,1115,1232,1351,1356,1358,1360,1361,1363,
1378,1379,1642,1721,1810,2185,2189,2195,2225,2226,2398,2573,2588,2895,2939,
3231,3716],[1,2,4,5,6,9,12,13,22,23,26,40,41,44,50,107,108,118,130,132,136,139
,141,153,160,162,199,201,206,215,216,331,405,414,416,420,428,429,500,507,522,
613,616,650,651,652,663,857,955,971,994,997,1038,1139,1183,1351,1353,1356,1358
,1360,1361,1378,1379,1642,1752,1810,2185,2189,2195,2219,2220,2400,2573,2588,
2917,2929,3231,3717],[1,2,3,4,5,6,12,13,15,16,17,22,25,26,28,29,31,32,33,35,40
,42,44,45,55,101,103,118,130,131,132,135,136,165,172,173,184,185,186,187,189,
199,206,215,216,244,366,369,380,382,405,414,417,424,425,429,430,431,549,586,
650,651,653,655,656,658,659,660,661,664,852,877,878,879,918,939,955,978,987,
990,1038,1351,1361,1366,1367,1368,1369,1371,1375,1377,1380,1608,1613,1630,1723
,1810,1811,1812,1813,1815,2208,2217,2362,2576,2578,2580,2584,2585,2586,2588,
3223,3229,3234,3718],[1,2,4,5,6,10,13,19,23,25,26,28,29,32,35,40,41,44,65,103,
107,118,130,132,136,160,168,173,179,180,189,200,209,215,216,249,366,369,381,
383,405,416,417,423,429,433,557,592,650,651,652,656,658,660,661,663,852,876,
880,881,918,945,954,984,990,994,1038,1352,1364,1366,1370,1371,1374,1376,1378,
1608,1614,1628,1725,1810,1811,1812,1814,1816,2213,2216,2364,2577,2579,2580,
2583,2585,2587,2589,3223,3230,3235,3719],[1,2,4,5,6,13,22,23,26,28,29,32,35,40
,44,101,107,108,118,130,132,136,173,189,199,200,206,209,215,216,347,366,369,
405,414,416,429,436,438,586,592,650,651,656,658,660,661,848,849,918,954,955,
987,994,1011,1038,1351,1352,1361,1364,1366,1371,1607,1613,1614,1781,1810,1811,
1812,2208,2213,2358,2580,2581,2582,2588,2589,3229,3230,3236,3720],[1,2,3,4,5,6
,10,12,13,15,16,17,19,22,23,26,28,29,31,32,33,35,40,41,42,44,45,55,65,74,79,80
,81,108,118,130,131,132,135,136,160,165,168,172,173,179,180,184,185,186,187,
189,215,216,287,366,369,380,381,382,383,405,423,424,425,429,430,431,433,436,
438,549,557,650,651,652,653,655,656,658,659,660,661,663,664,848,849,876,877,
878,879,880,881,918,939,945,978,984,1006,1011,1016,1019,1020,1038,1366,1367,
1368,1369,1370,1371,1374,1375,1376,1377,1378,1380,1535,1536,1537,1538,1607,
1628,1630,1777,1810,1811,1812,1813,1814,1815,1816,2216,2217,2384,2576,2577,
2578,2579,2580,2581,2582,2583,2584,2586,2587,3224,3225,3227,3228,3234,3235,
3236,3721],[1,2,4,5,6,13,22,23,25,26,28,29,32,35,40,44,103,108,118,130,132,136
,173,189,201,204,206,208,215,216,350,366,369,405,414,416,417,429,436,438,593,
595,650,651,656,658,660,661,848,849,852,918,958,961,990,997,1011,1038,1353,
1354,1361,1362,1366,1371,1607,1608,1680,1783,1810,1811,1812,2211,2212,2428,
2574,2575,2580,2581,2582,2585,3223,3233,3236,3722],[1,2,3,4,5,6,12,13,15,16,17
,22,23,26,28,29,31,32,33,35,40,42,44,45,55,106,107,108,109,118,130,131,132,135
,136,165,172,173,184,185,186,187,189,200,201,204,206,208,209,215,216,338,366,
369,380,382,405,414,416,424,425,429,430,431,549,590,591,592,593,595,617,623,
650,651,653,655,656,658,659,660,661,664,877,878,879,918,939,954,958,961,978,
988,993,994,997,1038,1245,1352,1353,1354,1361,1362,1364,1366,1367,1368,1369,
1371,1375,1377,1380,1614,1630,1680,1702,1703,1761,1810,1811,1812,1813,1815,
2209,2210,2211,2212,2213,2217,2221,2227,2435,2574,2575,2576,2578,2580,2584,
2586,2589,2936,3230,3233,3234,3238,3240,3723],[1,2,4,5,6,10,13,19,22,23,26,28,
29,32,35,40,41,44,65,101,108,118,130,132,136,160,168,173,179,180,189,199,201,
204,206,208,215,216,332,366,369,381,383,405,414,416,423,429,433,557,586,593,
595,613,619,650,651,652,656,658,660,661,663,876,880,881,918,945,955,958,961,
984,987,997,1038,1243,1351,1353,1354,1361,1362,1366,1370,1371,1374,1376,1378,
1613,1628,1680,1699,1704,1753,1810,1811,1812,1814,1816,2208,2211,2212,2216,
2220,2226,2436,2574,2575,2577,2579,2580,2583,2587,2588,2935,3229,3233,3235,
3237,3239,3724],[1,3,4,8,20,21,25,27,38,83,93,117,123,133,134,137,147,364,373,
434,468,853,1349,1697,3197,3725],[1,3,4,8,20,21,25,27,38,84,93,117,122,133,134
,137,147,365,374,434,468,854,1349,1698,3198,3726],[1,3,4,8,20,21,24,27,34,85,
88,116,119,133,134,137,147,363,371,434,456,850,1346,1695,3194,3727],[1,2,4,5,6
,7,8,19,28,29,32,41,42,44,46,48,118,121,124,125,126,163,179,212,214,366,383,
384,387,393,401,409,439,440,441,442,443,631,645,880,947,1027,1029,1031,1033,
1034,1036,1037,1297,1320,1382,1383,1384,1385,1386,1804,1808,2142,2229,2230,
2233,2234,2236,2238,2239,2590,2943,2947,3241,3243,3728],[1,2,3,5,6,7,8,16,28,
29,33,44,45,47,48,118,121,124,125,126,166,185,213,214,366,382,387,393,394,397,
410,439,440,441,442,443,631,647,878,949,1028,1030,1032,1033,1035,1036,1037,
1297,1322,1382,1383,1384,1385,1386,1805,1809,2144,2229,2231,2232,2235,2237,
2238,2239,2590,2942,2948,3241,3242,3729],[1,2,5,6,7,8,22,28,29,44,48,118,121,
124,125,126,208,214,366,387,393,439,440,441,442,443,631,648,848,1033,1036,1037
,1297,1382,1383,1384,1385,1386,1803,2099,2229,2238,2239,2590,2944,3241,3730],[
1,2,3,4,5,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,28,32,40,41,49,50,
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,
77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,94,95,96,97,98,99,100,101,102,103
,104,105,106,107,108,109,110,111,112,113,114,115,139,155,157,160,162,168,173,
179,180,201,207,219,220,221,222,223,225,226,227,228,229,230,231,232,233,235,
239,240,244,245,246,247,249,250,251,252,253,257,258,259,263,264,265,266,268,
271,273,274,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,
295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,
314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,332,333,
334,335,336,337,339,340,341,342,343,344,345,445,449,482,494,500,502,520,521,
524,536,556,557,573,577,611,616,618,622,665,666,668,669,671,672,673,674,675,
676,677,678,679,680,681,682,683,684,685,686,689,697,698,699,701,705,706,708,
710,711,718,722,727,730,731,732,733,734,735,736,743,744,745,746,747,748,749,
750,751,752,753,754,756,759,763,764,765,766,767,768,776,777,785,787,790,792,
793,794,795,829,830,831,832,833,834,1041,1042,1047,1051,1069,1071,1072,1078,
1117,1125,1141,1185,1206,1217,1226,1264,1271,1389,1394,1404,1405,1407,1408,
1409,1410,1411,1414,1415,1416,1421,1426,1431,1434,1476,1477,1478,1481,1486,
1488,1490,1497,1498,1838,1840,1844,1857,1865,1875,1876,1877,1901,1907,1908,
1909,1949,1956,1971,1988,1990,2240,2243,2244,2245,2247,2273,2281,2609,2627,
2638,2639,2649,2677,2690,2709,2949,3247,3265,3270,3731],[1,2,3,4,6,9,10,11,12,
13,14,15,16,17,18,19,20,21,22,23,24,25,29,31,33,35,42,44,45,49,50,51,52,53,54,
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,
81,82,83,84,85,86,87,89,90,91,92,94,95,96,97,98,99,100,101,102,103,104,105,106
,107,108,109,110,111,112,113,114,115,140,144,156,165,166,172,182,183,184,185,
186,187,188,189,218,220,221,222,223,224,225,226,228,229,230,231,232,233,234,
235,236,237,238,242,243,244,245,247,250,251,254,255,256,257,258,259,261,262,
263,264,265,266,268,269,270,271,272,273,274,275,278,279,281,283,284,285,286,
287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,
308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,
327,328,329,330,331,333,334,335,336,337,338,340,341,342,343,344,345,446,448,
450,451,452,453,459,460,501,503,504,505,509,510,526,549,551,552,553,554,555,
565,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,
684,685,686,687,688,691,692,693,694,695,696,700,701,707,708,709,710,711,712,
713,714,715,716,717,719,720,721,723,724,725,726,728,729,733,735,736,737,742,
744,745,746,747,748,749,750,751,752,753,754,756,757,758,759,760,761,762,767,
768,784,788,789,791,792,793,794,796,797,798,829,830,831,832,833,834,1040,1043,
1049,1053,1054,1055,1070,1073,1074,1075,1076,1079,1080,1084,1085,1086,1090,
1091,1092,1093,1094,1099,1100,1101,1102,1134,1282,1387,1388,1390,1391,1392,
1393,1395,1396,1397,1398,1399,1400,1401,1402,1403,1406,1408,1409,1410,1411,
1415,1416,1417,1418,1419,1420,1422,1423,1424,1425,1426,1427,1428,1429,1430,
1432,1434,1480,1482,1483,1484,1485,1487,1489,1832,1839,1842,1873,1878,1879,
1880,1881,1887,1892,1893,1894,1895,1897,1899,2021,2240,2241,2242,2246,2248,
2249,2250,2251,2252,2253,2254,2591,2592,2612,2613,2645,2951,3248,3260,3261,
3732],[1,2,3,4,6,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,29,31,33,35
,42,44,45,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71
,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,94,95,96,97,98,99
,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,141,144,156,
165,166,172,182,183,184,185,186,187,188,189,218,220,221,222,223,224,225,226,
228,229,230,231,232,233,234,235,236,237,238,242,243,244,245,247,250,251,254,
255,256,257,258,259,261,262,263,264,265,266,268,269,270,271,272,273,274,275,
278,279,281,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,
301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,
320,321,322,323,324,325,326,327,328,329,330,331,333,334,335,336,337,338,340,
341,342,343,344,345,447,450,451,457,459,460,503,507,509,510,526,549,551,552,
553,554,555,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,
682,683,684,685,686,687,688,691,692,693,694,695,696,700,701,707,708,709,710,
711,712,713,714,715,716,717,719,720,721,723,724,725,726,728,729,733,735,736,
737,742,744,745,746,747,748,749,750,751,752,753,754,756,757,758,759,760,761,
762,767,768,784,788,789,791,792,793,794,796,797,798,829,830,831,832,833,834,
1043,1045,1054,1055,1058,1084,1090,1091,1092,1093,1094,1098,1099,1100,1101,
1102,1104,1134,1387,1388,1390,1391,1392,1393,1395,1396,1397,1398,1399,1400,
1401,1402,1403,1406,1408,1409,1410,1411,1415,1416,1417,1418,1419,1420,1422,
1423,1424,1425,1426,1427,1428,1429,1430,1432,1434,1480,1482,1483,1484,1485,
1487,1489,1817,1818,1819,1824,1839,1845,1846,1891,1892,1893,1894,1895,1897,
1899,1902,2240,2241,2242,2246,2248,2249,2250,2251,2252,2253,2254,2595,2596,
2597,2598,2599,2600,2607,2613,2617,2618,2622,2623,2715,2716,2951,3244,3245,
3258,3276,3277,3278,3279,3733],[1,2,3,4,7,10,11,12,13,14,15,16,17,18,19,21,23,
24,25,36,47,51,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,72,77,79,82,83,
84,85,86,87,89,90,91,92,94,95,97,98,99,100,102,103,104,105,106,107,110,111,112
,113,114,115,116,146,149,150,196,219,223,224,225,226,227,228,233,234,235,238,
239,240,242,243,246,249,250,251,252,254,255,256,257,263,264,265,266,268,271,
273,274,279,284,293,294,295,297,298,300,302,304,306,307,308,309,310,311,312,
313,314,315,317,318,319,320,321,322,323,324,325,328,329,334,336,337,341,342,
343,345,348,349,352,356,357,463,465,466,514,515,516,517,518,665,670,674,675,
676,680,682,683,684,689,692,696,697,698,699,705,706,707,708,709,713,714,715,
716,719,723,724,727,728,729,730,731,732,738,739,746,747,749,751,756,759,775,
778,783,785,787,789,790,791,796,798,822,823,830,834,835,839,845,1061,1062,1108
,1109,1110,1266,1391,1400,1401,1404,1405,1406,1407,1409,1421,1423,1429,1431,
1447,1449,1454,1471,1472,1481,1482,1486,1487,1496,1501,1505,1820,1821,1823,
1903,1905,2063,2064,2069,2076,2247,2249,2255,2265,2267,2271,2278,2619,2620,
2737,2955,3263,3734],[1,2,3,4,7,10,11,12,13,14,15,16,17,18,19,21,23,24,25,36,
39,47,49,51,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70,77,78,79,82,83,84,
85,86,87,89,90,91,92,94,95,96,99,100,102,103,104,105,106,107,110,111,113,114,
115,117,146,149,150,198,219,220,224,225,226,227,228,233,234,239,240,242,243,
246,249,250,251,254,255,256,257,259,263,264,265,266,268,271,273,274,279,284,
296,300,301,302,303,304,305,307,308,311,312,313,316,326,327,328,329,330,336,
337,341,343,344,348,349,353,354,355,461,462,463,465,466,470,514,515,516,517,
518,665,670,671,684,685,686,689,693,696,697,698,699,707,708,709,712,713,714,
715,718,719,721,722,725,726,728,729,738,739,745,756,759,768,775,779,780,785,
787,789,791,797,798,824,825,829,836,840,846,1061,1062,1106,1107,1112,1113,1266
,1389,1392,1394,1402,1403,1406,1408,1423,1430,1431,1451,1452,1455,1469,1472,
1480,1483,1488,1495,1502,1505,1822,1823,1827,1828,1903,1905,2062,2065,2069,
2076,2245,2250,2255,2264,2269,2270,2279,2621,2624,2736,2956,3263,3735],[1,2,3,
4,5,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,32,40,41,50,51,52,53,54,
55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,74,75,76,77,80,81,82,87,88,89,
90,91,92,93,94,95,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,
115,139,155,157,160,162,174,180,190,199,201,207,221,222,223,225,226,228,229,
230,231,232,233,237,238,239,240,241,243,244,245,246,247,248,249,250,251,252,
253,254,255,256,257,260,261,262,264,265,266,267,269,270,271,272,273,274,275,
276,277,278,280,282,285,286,288,289,290,291,292,293,294,295,296,297,298,299,
333,334,335,336,337,340,341,342,343,346,348,349,350,449,479,483,485,494,500,
502,521,524,559,577,608,613,616,618,622,668,669,690,700,702,703,704,709,710,
711,716,718,719,722,724,725,726,727,730,731,732,735,736,738,739,740,750,751,
752,753,754,755,756,758,760,766,769,770,771,772,773,774,777,785,786,787,788,
790,791,793,794,795,796,797,798,807,808,1041,1042,1047,1051,1072,1083,1089,
1115,1117,1141,1185,1191,1203,1207,1217,1233,1246,1412,1413,1415,1420,1425,
1433,1462,1463,1464,1465,1466,1472,1473,1474,1480,1481,1485,1486,1487,1488,
1490,1498,1499,1840,1844,1852,1856,1858,1865,1888,1908,1909,1940,1956,1957,
1970,1971,1990,2017,2253,2264,2265,2281,2285,2286,2287,2636,2638,2644,2646,
2649,2673,2687,2689,2961,3262,3265,3268,3736],[1,2,3,4,5,9,10,11,12,13,14,15,
16,17,18,19,20,21,22,23,24,25,28,32,40,41,50,51,52,53,54,55,56,57,58,59,60,61,
62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,82,87,88,89,90,91,92,93,94,
95,100,101,103,104,105,106,107,108,109,110,111,112,139,153,155,157,160,162,168
,173,174,179,180,190,199,201,206,207,218,219,221,222,223,224,225,226,227,228,
229,230,231,232,233,234,236,237,239,240,241,242,243,244,245,246,247,248,249,
250,251,252,253,257,258,260,261,262,263,264,265,266,267,268,269,270,271,272,
273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,
292,293,294,295,296,297,298,299,331,332,333,334,335,336,337,338,339,340,346,
347,348,349,350,351,445,449,474,479,482,483,484,485,494,500,502,521,522,524,
528,536,556,557,559,560,569,576,577,586,593,597,607,608,613,616,618,619,665,
667,668,669,670,688,689,690,694,695,696,697,698,699,700,701,702,703,704,705,
706,707,708,709,710,711,734,735,737,738,739,740,741,742,743,750,751,752,753,
754,755,756,757,758,759,760,761,762,763,764,765,766,767,769,770,771,772,773,
774,775,776,777,784,785,786,787,788,789,790,791,792,793,794,795,799,800,801,
802,803,804,805,806,807,808,809,810,811,812,1039,1041,1042,1047,1051,1067,1069
,1071,1072,1078,1083,1089,1115,1117,1125,1126,1139,1141,1156,1167,1168,1169,
1183,1185,1191,1192,1202,1203,1206,1207,1208,1217,1225,1231,1232,1243,1246,
1254,1263,1264,1387,1412,1413,1414,1415,1417,1418,1419,1421,1422,1423,1424,
1425,1426,1431,1432,1433,1445,1456,1457,1458,1459,1460,1461,1466,1467,1468,
1472,1473,1474,1475,1476,1477,1478,1479,1490,1491,1492,1497,1498,1499,1504,
1505,1840,1841,1844,1851,1852,1855,1856,1857,1858,1865,1874,1875,1876,1877,
1888,1889,1908,1910,1913,1914,1925,1934,1939,1940,1944,1948,1955,1956,1970,
1971,1981,1988,2009,2017,2036,2044,2052,2242,2255,2266,2273,2274,2275,2287,
2289,2290,2594,2609,2610,2614,2636,2637,2638,2640,2642,2643,2646,2647,2649,
2650,2659,2660,2661,2670,2677,2678,2681,2687,2688,2689,2690,2691,2950,3250,
3252,3262,3270,3275,3287,3288,3290,3298,3737],[1,2,3,4,5,9,10,11,12,13,14,15,
16,17,18,19,20,21,22,23,24,25,28,32,40,41,50,51,52,53,54,55,56,57,58,59,60,61,
62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,82,87,89,90,91,92,94,95,100
,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,139,155,
157,160,162,168,173,179,180,201,207,219,221,222,223,225,226,227,228,229,230,
231,232,233,238,239,240,244,245,246,247,249,250,251,252,253,254,255,256,257,
258,263,264,265,266,268,271,273,274,279,280,281,282,283,284,285,286,287,288,
289,290,291,292,293,294,295,296,297,298,299,332,333,334,335,336,337,339,340,
341,342,343,352,353,354,355,356,357,445,449,482,494,500,502,521,524,536,556,
557,577,616,618,622,625,665,668,669,689,697,698,699,701,705,706,708,710,711,
716,719,724,725,726,734,735,736,743,750,751,752,753,754,756,759,763,764,765,
766,767,776,777,778,779,780,781,782,783,785,787,790,792,793,794,795,796,797,
798,835,836,841,842,1041,1042,1047,1051,1069,1071,1072,1078,1117,1125,1141,
1185,1206,1217,1233,1264,1270,1414,1415,1420,1421,1426,1431,1447,1449,1451,
1452,1469,1470,1471,1476,1477,1478,1480,1485,1487,1490,1497,1498,1506,1840,
1844,1857,1865,1875,1876,1877,1908,1909,1956,1957,1971,1973,1988,2045,2253,
2267,2270,2273,2276,2277,2288,2609,2638,2644,2649,2677,2690,2703,2708,2959,
3266,3268,3270,3738],[1,2,3,4,6,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25
,29,31,33,35,42,44,45,49,50,51,52,53,54,55,56,57,62,63,64,65,66,67,68,69,70,71
,73,74,75,76,77,78,79,80,81,82,85,86,87,88,89,90,91,92,93,96,99,100,101,102,
103,104,105,106,107,108,109,110,113,114,116,140,144,159,163,165,172,177,178,
184,185,186,187,189,195,218,219,220,221,227,228,229,230,231,232,233,234,236,
237,238,239,240,241,242,243,244,245,246,247,248,249,254,255,257,258,259,260,
261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,
280,281,282,283,284,285,286,287,288,289,290,300,301,302,303,304,305,316,326,
327,328,329,330,331,332,336,337,338,339,340,343,344,346,347,350,351,352,356,
357,358,361,362,363,446,448,450,451,452,453,459,460,501,503,504,505,509,510,
527,547,548,549,550,561,562,565,665,667,668,671,684,685,686,687,688,689,690,
691,692,693,694,695,696,697,698,699,700,701,702,703,704,716,717,718,719,720,
721,722,723,724,734,737,740,741,742,743,755,756,757,758,759,760,761,762,763,
764,765,766,767,768,769,772,773,774,778,783,784,785,786,787,788,796,799,800,
801,802,803,804,805,806,809,810,811,812,813,814,815,816,821,828,829,835,837,
844,1048,1049,1050,1055,1070,1073,1074,1075,1076,1077,1080,1081,1082,1084,1090
,1091,1092,1093,1094,1135,1275,1282,1388,1389,1390,1391,1392,1393,1394,1395,
1408,1413,1414,1417,1427,1431,1432,1433,1435,1436,1437,1446,1447,1448,1449,
1456,1457,1458,1459,1460,1461,1462,1463,1467,1468,1471,1487,1488,1489,1492,
1493,1503,1832,1843,1882,1883,1884,1885,1886,1887,1899,2070,2245,2246,2256,
2257,2258,2259,2267,2268,2274,2282,2285,2591,2592,2611,2629,2631,2645,2963,
3253,3254,3259,3260,3271,3739],[1,2,3,4,6,10,11,12,13,14,15,16,17,18,19,20,21,
22,23,24,25,31,33,35,42,44,45,49,51,53,54,55,56,57,58,59,60,61,62,63,64,65,66,
67,68,69,70,71,74,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,
96,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,140,
144,165,177,178,182,183,186,187,188,195,208,209,220,224,225,226,228,230,233,
234,236,241,242,243,244,245,248,250,251,252,253,254,255,256,257,259,260,261,
263,264,265,266,267,268,270,271,273,274,276,277,278,279,280,282,284,285,288,
289,290,295,296,299,300,301,302,303,304,305,307,308,311,312,313,316,326,327,
328,329,330,332,334,336,337,339,340,341,343,344,346,347,350,351,352,356,357,
358,361,362,363,448,452,453,459,460,501,503,504,505,509,510,548,553,565,602,
603,604,609,623,670,671,684,685,686,693,694,696,707,708,709,711,712,713,714,
715,719,721,725,726,727,728,729,730,734,740,741,745,752,755,756,758,759,766,
768,769,772,773,774,776,777,778,783,784,786,789,790,791,792,795,797,798,800,
802,804,806,813,814,815,816,821,828,829,835,837,844,1049,1055,1074,1075,1077,
1079,1081,1082,1085,1086,1094,1099,1100,1101,1102,1140,1144,1256,1275,1282,
1392,1402,1403,1406,1408,1413,1422,1423,1430,1435,1436,1437,1454,1464,1465,
1468,1471,1476,1480,1481,1483,1491,1493,1497,1499,1503,1504,1832,1879,1885,
1893,1911,1935,1936,1937,1938,2070,2243,2250,2271,2275,2276,2282,2286,2592,
2631,2645,2648,2957,3261,3264,3271,3740],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,
18,19,20,21,22,23,24,25,40,41,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,
67,68,69,70,71,73,74,75,76,77,79,80,81,82,87,89,90,91,92,94,95,100,101,103,104
,105,106,107,108,109,110,111,112,116,117,139,153,155,157,160,162,201,206,207,
218,221,222,223,224,225,226,228,229,230,231,232,233,234,236,237,239,242,243,
244,245,246,247,250,251,252,253,257,258,261,262,263,264,265,266,268,269,270,
271,272,273,274,275,278,279,281,283,284,285,286,287,290,291,292,293,294,295,
296,297,298,299,331,333,334,335,336,337,338,340,352,353,354,355,356,357,500,
502,521,522,524,569,576,577,616,618,619,625,667,668,669,670,688,694,695,696,
700,701,707,708,709,710,711,718,722,727,730,731,732,735,737,742,750,751,752,
753,754,756,757,758,759,760,761,762,767,778,779,780,781,782,783,784,785,788,
789,790,791,792,793,794,795,835,836,841,842,1039,1041,1042,1047,1051,1067,1117
,1139,1141,1185,1217,1225,1231,1232,1270,1387,1415,1417,1418,1419,1422,1423,
1424,1425,1426,1432,1446,1448,1450,1453,1454,1455,1469,1470,1471,1481,1486,
1488,1490,1506,1840,1841,1844,1908,1910,1925,1948,1955,1956,1971,1973,1990,
2045,2242,2268,2269,2271,2272,2281,2288,2594,2638,2640,2642,2643,2649,2679,
2708,2960,3250,3265,3266,3741],[1,2,3,4,6,9,10,11,12,13,14,15,16,17,19,21,22,
23,24,25,29,31,33,35,42,44,45,49,50,51,52,54,55,57,62,63,64,65,66,67,68,69,70,
73,74,75,76,77,78,79,80,81,82,85,86,89,90,91,96,99,100,101,102,103,104,105,106
,107,108,109,110,111,112,113,114,117,140,144,165,172,184,185,186,187,189,200,
204,208,209,218,220,228,229,232,233,234,236,237,238,240,242,243,244,245,247,
249,251,252,254,255,257,258,259,264,265,266,273,274,281,283,284,285,286,287,
290,300,301,302,303,304,305,316,326,327,328,329,330,331,332,333,334,335,336,
337,338,339,340,343,344,346,347,348,349,350,351,353,354,355,446,448,450,451,
452,453,459,460,501,503,504,505,509,510,549,565,590,591,592,595,617,623,667,
671,684,685,686,687,688,691,692,693,694,695,696,700,701,716,717,719,720,721,
723,724,727,730,734,735,737,738,739,740,741,756,767,768,776,777,779,780,784,
787,788,790,791,792,794,796,809,810,811,812,824,825,829,836,840,846,1049,1055,
1070,1073,1074,1075,1076,1080,1084,1090,1091,1092,1093,1094,1116,1118,1140,
1144,1245,1282,1388,1390,1391,1392,1393,1395,1408,1419,1427,1432,1450,1453,
1469,1472,1474,1475,1476,1478,1481,1487,1489,1491,1492,1495,1502,1832,1887,
1899,1911,1912,1915,1916,1917,1972,2075,2243,2246,2265,2266,2272,2277,2279,
2591,2592,2645,2671,2953,3260,3264,3267,3742],[1,2,3,4,6,9,10,11,12,13,14,15,
16,17,18,19,20,21,22,23,24,25,31,35,42,44,45,49,50,51,52,53,54,55,56,57,58,59,
60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,80,81,82,83,84,85,86,87,
88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,
110,111,112,113,114,115,116,117,140,144,156,165,166,177,178,186,195,200,204,
220,221,222,223,225,226,228,229,230,231,232,233,235,237,240,241,243,244,245,
247,248,249,250,251,253,257,259,260,261,262,264,265,266,267,269,270,271,272,
273,274,275,276,277,278,280,282,285,286,288,289,290,291,292,293,294,295,296,
297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,
316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,333,334,335,336,
337,340,341,342,343,344,345,346,348,349,350,352,353,354,355,356,357,358,359,
360,361,362,363,364,365,448,452,480,487,489,497,501,503,504,505,509,510,526,
548,565,617,666,668,669,671,672,673,674,675,676,677,678,679,680,681,682,683,
684,685,686,690,700,702,703,704,709,710,711,733,735,736,738,739,740,744,745,
746,747,748,749,750,751,752,753,754,755,756,758,760,766,768,769,770,771,772,
773,774,777,778,779,780,781,782,783,786,787,788,791,793,795,807,808,813,814,
815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,
834,835,836,837,838,839,840,841,842,843,844,845,846,1040,1043,1049,1053,1054,
1055,1074,1077,1081,1082,1116,1118,1215,1275,1282,1408,1409,1410,1411,1412,
1413,1415,1416,1425,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,
1444,1466,1469,1470,1471,1472,1473,1474,1493,1494,1495,1496,1498,1499,1500,
1501,1502,1503,1506,1507,1508,1509,1510,1832,1839,1842,1853,1860,1861,1864,
1885,1972,2021,2070,2075,2240,2278,2279,2280,2282,2283,2284,2287,2288,2291,
2292,2631,2645,2692,2741,2954,3248,3267,3271,3743],[1,2,3,4,6,9,10,11,12,13,14
,15,16,17,18,19,20,21,22,23,24,25,42,44,45,49,50,51,52,53,54,55,56,57,58,59,60
,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
,87,89,90,91,92,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,
111,112,113,114,115,140,144,156,159,163,165,166,208,209,219,220,221,222,223,
225,226,227,228,229,230,231,232,233,235,239,240,244,245,246,247,249,250,251,
252,253,257,258,259,263,264,265,266,268,271,273,274,279,280,281,282,283,284,
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,
323,324,325,326,327,328,329,330,332,333,334,335,336,337,339,340,341,342,343,
344,345,501,503,504,505,509,510,526,527,565,574,575,581,582,623,665,666,668,
669,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,689,697,
698,699,701,705,706,708,710,711,718,722,727,730,731,732,733,734,735,736,743,
744,745,746,747,748,749,750,751,752,753,754,756,759,763,764,765,766,767,768,
776,777,785,787,790,792,793,794,795,829,830,831,832,833,834,1040,1043,1048,
1049,1050,1053,1054,1055,1140,1144,1227,1282,1389,1394,1404,1405,1407,1408,
1409,1410,1411,1414,1415,1416,1421,1426,1431,1434,1476,1477,1478,1481,1486,
1488,1490,1497,1498,1832,1839,1842,1843,1911,1947,1952,1953,1954,2021,2240,
2243,2244,2245,2247,2273,2281,2629,2641,2645,2949,3248,3259,3264,3744],[1,2,3,
4,5,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,32,40,41,49,50,51,52,53,
54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,78,80,81,
82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,
106,107,108,109,110,111,112,113,114,115,116,117,139,155,157,160,162,174,180,
190,199,201,207,220,221,222,223,225,226,228,229,230,231,232,233,235,237,240,
241,243,244,245,247,248,249,250,251,253,257,259,260,261,262,264,265,266,267,
269,270,271,272,273,274,275,276,277,278,280,282,285,286,288,289,290,291,292,
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,
333,334,335,336,337,340,341,342,343,344,345,346,348,349,350,352,353,354,355,
356,357,358,359,360,361,362,363,364,365,449,479,483,485,494,500,502,520,521,
524,559,573,577,608,611,613,618,622,625,666,668,669,671,672,673,674,675,676,
677,678,679,680,681,682,683,684,685,686,690,700,702,703,704,709,710,711,733,
735,736,738,739,740,744,745,746,747,748,749,750,751,752,753,754,755,756,758,
760,766,768,769,770,771,772,773,774,777,778,779,780,781,782,783,786,787,788,
791,793,795,807,808,813,814,815,816,817,818,819,820,821,822,823,824,825,826,
827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,
846,1041,1042,1047,1051,1072,1083,1089,1115,1117,1141,1191,1203,1207,1217,1226
,1246,1270,1271,1280,1288,1408,1409,1410,1411,1412,1413,1415,1416,1425,1433,
1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,1466,1469,1470,1471,
1472,1473,1474,1493,1494,1495,1496,1498,1499,1500,1501,1502,1503,1506,1507,
1508,1509,1510,1838,1840,1844,1852,1856,1858,1865,1888,1901,1907,1908,1909,
1940,1949,1956,1970,1973,2017,2032,2045,2060,2240,2278,2279,2280,2282,2283,
2284,2287,2288,2291,2292,2636,2638,2639,2646,2687,2689,2706,2708,2709,2726,
2731,2954,3247,3262,3266,3273,3274,3745],[1,2,3,4,6,10,11,12,13,14,15,16,17,18
,19,21,23,24,25,33,35,42,44,45,49,51,54,55,57,58,59,60,61,62,63,64,65,66,67,68
,69,70,77,78,79,82,83,84,85,86,87,89,90,91,92,94,95,96,99,100,102,103,104,105,
106,107,110,111,113,114,115,117,140,144,159,163,165,182,183,187,188,200,204,
219,220,224,225,226,227,228,233,234,239,240,242,243,246,249,250,251,254,255,
256,257,259,263,264,265,266,268,271,273,274,279,284,296,300,301,302,303,304,
305,307,308,311,312,313,316,326,327,328,329,330,336,337,341,343,344,348,349,
353,354,355,452,453,459,460,481,486,488,498,501,503,504,505,509,510,527,553,
565,617,665,670,671,684,685,686,689,693,696,697,698,699,707,708,709,712,713,
714,715,718,719,721,722,725,726,728,729,738,739,745,756,759,768,775,779,780,
785,787,789,791,797,798,824,825,829,836,840,846,1048,1049,1050,1055,1075,1079,
1085,1086,1094,1099,1100,1101,1102,1116,1118,1216,1282,1389,1392,1394,1402,
1403,1406,1408,1423,1430,1431,1451,1452,1455,1469,1472,1480,1483,1488,1495,
1502,1505,1832,1843,1854,1859,1862,1863,1879,1893,1972,2075,2245,2250,2255,
2264,2269,2270,2279,2592,2629,2645,2693,2956,3259,3261,3267,3746],[1,2,3,4,5,9
,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,40,41,49,50,51,52,53,54,55,56
,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
,83,84,85,86,87,89,90,91,92,94,95,96,97,98,99,100,101,102,103,104,105,106,107,
108,109,110,111,112,113,114,115,139,153,155,157,160,162,206,207,218,220,221,
222,223,224,225,226,228,229,230,231,232,233,234,235,236,237,238,242,243,244,
245,247,250,251,254,255,256,257,258,259,261,262,263,264,265,266,268,269,270,
271,272,273,274,275,278,279,281,283,284,285,286,287,290,291,292,293,294,295,
296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,
315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,333,334,
335,336,337,338,340,341,342,343,344,345,500,502,520,521,522,524,569,573,576,
577,611,618,619,622,666,667,668,669,670,671,672,673,674,675,676,677,678,679,
680,681,682,683,684,685,686,687,688,691,692,693,694,695,696,700,701,707,708,
709,710,711,712,713,714,715,716,717,719,720,721,723,724,725,726,728,729,733,
735,736,737,742,744,745,746,747,748,749,750,751,752,753,754,756,757,758,759,
760,761,762,767,768,784,788,789,791,792,793,794,796,797,798,829,830,831,832,
833,834,1039,1041,1042,1047,1051,1067,1139,1141,1217,1225,1226,1231,1232,1233,
1271,1387,1388,1390,1391,1392,1393,1395,1396,1397,1398,1399,1400,1401,1402,
1403,1406,1408,1409,1410,1411,1415,1416,1417,1418,1419,1420,1422,1423,1424,
1425,1426,1427,1428,1429,1430,1432,1434,1480,1482,1483,1484,1485,1487,1489,
1838,1840,1841,1844,1901,1907,1908,1909,1910,1922,1925,1948,1949,1955,1956,
1957,1958,2240,2241,2242,2246,2248,2249,2250,2251,2252,2253,2254,2594,2616,
2638,2639,2640,2642,2643,2644,2709,2951,3247,3249,3250,3268,3269,3747],[1,2,3,
4,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,47,50,51,52,53,54,55,56,
57,58,59,60,61,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,82,87,88,89,
90,91,92,93,94,95,100,101,103,104,105,106,107,108,109,110,111,112,146,149,150,
167,218,219,221,222,223,224,225,226,227,228,229,230,231,232,233,234,236,237,
239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,257,258,260,261,
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,
331,332,333,334,335,336,337,338,339,340,346,347,348,349,350,351,514,515,516,
517,518,665,667,668,669,670,688,689,690,694,695,696,697,698,699,700,701,702,
703,704,705,706,707,708,709,710,711,734,735,737,738,739,740,741,742,743,750,
751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,769,770,
771,772,773,774,775,776,777,784,785,786,787,788,789,790,791,792,793,794,795,
799,800,801,802,803,804,805,806,807,808,809,810,811,812,1056,1057,1061,1062,
1266,1387,1412,1413,1414,1415,1417,1418,1419,1421,1422,1423,1424,1425,1426,
1431,1432,1433,1445,1456,1457,1458,1459,1460,1461,1466,1467,1468,1472,1473,
1474,1475,1476,1477,1478,1479,1490,1491,1492,1497,1498,1499,1504,1505,1848,
1849,1903,1905,2067,2068,2069,2076,2242,2255,2266,2273,2274,2275,2287,2289,
2290,2608,2717,2738,2742,2950,3263,3748],[1,2,3,4,8,9,10,11,12,13,14,15,16,17,
18,19,20,21,22,23,24,25,34,38,46,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,
64,65,66,67,68,69,70,71,72,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,
92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,
113,114,115,116,117,143,145,147,148,152,197,220,221,222,223,225,226,228,229,
230,231,232,233,235,237,240,241,243,244,245,247,248,249,250,251,253,257,259,
260,261,262,264,265,266,267,269,270,271,272,273,274,275,276,277,278,280,282,
285,286,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,
305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,
324,325,326,327,328,329,330,333,334,335,336,337,340,341,342,343,344,345,346,
348,349,350,352,353,354,355,356,357,358,359,360,361,362,363,364,365,454,455,
456,464,468,471,508,511,512,513,519,566,567,568,666,668,669,671,672,673,674,
675,676,677,678,679,680,681,682,683,684,685,686,690,700,702,703,704,709,710,
711,733,735,736,738,739,740,744,745,746,747,748,749,750,751,752,753,754,755,
756,758,760,766,768,769,770,771,772,773,774,777,778,779,780,781,782,783,786,
787,788,791,793,795,807,808,813,814,815,816,817,818,819,820,821,822,823,824,
825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,
844,845,846,1060,1064,1087,1088,1111,1276,1277,1278,1408,1409,1410,1411,1412,
1413,1415,1416,1425,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,
1444,1466,1469,1470,1471,1472,1473,1474,1493,1494,1495,1496,1498,1499,1500,
1501,1502,1503,1506,1507,1508,1509,1510,1826,1830,1833,1834,1835,1836,1837,
1904,1906,2019,2020,2240,2278,2279,2280,2282,2283,2284,2287,2288,2291,2292,
2625,2632,2633,2634,2635,2739,2740,2954,3251,3749],[1,2,3,4,5,9,10,11,12,13,14
,15,16,17,19,20,21,22,23,24,25,28,30,32,40,41,49,50,51,52,53,54,55,56,57,62,63
,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,85,86,87,88,89,90,91,92
,93,96,99,100,101,102,103,104,105,106,107,108,109,110,113,114,116,153,155,157,
158,160,161,162,168,169,170,171,173,174,175,176,179,180,181,190,199,201,202,
205,206,207,218,219,220,221,227,228,229,230,231,232,233,234,236,237,238,239,
240,241,242,243,244,245,246,247,248,249,254,255,257,258,259,260,261,262,263,
264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,
283,284,285,286,287,288,289,290,300,301,302,303,304,305,316,326,327,328,329,
330,331,332,336,337,338,339,340,343,344,346,347,350,351,352,356,357,358,361,
362,363,474,475,476,477,478,479,482,483,484,485,490,491,492,493,494,495,520,
521,522,523,524,525,528,529,530,531,532,533,534,535,536,537,538,539,540,541,
542,543,544,545,546,556,557,559,560,569,570,571,572,573,576,577,578,579,583,
584,585,586,587,588,589,593,594,597,598,599,600,601,605,606,607,608,611,612,
613,614,615,616,618,619,620,621,622,624,625,626,665,667,668,671,684,685,686,
687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,716,
717,718,719,720,721,722,723,724,734,737,740,741,742,743,755,756,757,758,759,
760,761,762,763,764,765,766,767,768,769,772,773,774,778,783,784,785,786,787,
788,796,799,800,801,802,803,804,805,806,809,810,811,812,813,814,815,816,821,
828,829,835,837,844,1066,1067,1068,1121,1122,1123,1124,1125,1126,1127,1128,
1129,1130,1131,1132,1133,1136,1137,1138,1145,1146,1147,1148,1149,1150,1151,
1152,1153,1154,1155,1156,1157,1158,1159,1167,1168,1169,1170,1171,1172,1173,
1174,1175,1176,1177,1178,1179,1180,1183,1184,1185,1186,1187,1188,1189,1190,
1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,
1206,1207,1208,1209,1210,1211,1212,1213,1214,1217,1218,1219,1220,1221,1222,
1223,1224,1225,1226,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,
1239,1240,1241,1242,1243,1244,1246,1247,1248,1249,1250,1251,1252,1253,1254,
1255,1257,1258,1259,1260,1261,1262,1263,1264,1265,1267,1268,1269,1270,1271,
1272,1273,1274,1279,1280,1281,1283,1284,1285,1286,1287,1288,1289,1388,1389,
1390,1391,1392,1393,1394,1395,1408,1413,1414,1417,1427,1431,1432,1433,1435,
1436,1437,1446,1447,1448,1449,1456,1457,1458,1459,1460,1461,1462,1463,1467,
1468,1471,1487,1488,1489,1492,1493,1503,1870,1871,1872,1907,1920,1921,1922,
1923,1924,1925,1926,1927,1928,1929,1930,1931,1932,1933,1943,1944,1945,1946,
1957,1958,1959,1960,1961,1962,1963,1964,1965,1966,1967,1968,1969,1973,1974,
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,
2005,2006,2007,2008,2009,2010,2012,2013,2014,2015,2016,2017,2018,2022,2023,
2024,2025,2026,2027,2028,2029,2030,2031,2032,2033,2034,2035,2036,2037,2038,
2039,2040,2041,2042,2043,2044,2046,2047,2048,2049,2050,2051,2052,2053,2054,
2055,2056,2057,2058,2059,2060,2061,2066,2071,2072,2073,2074,2245,2246,2256,
2257,2258,2259,2267,2268,2274,2282,2285,2615,2616,2626,2627,2628,2664,2665,
2666,2667,2668,2669,2672,2673,2674,2675,2676,2679,2680,2681,2682,2683,2684,
2685,2686,2694,2695,2696,2697,2698,2699,2700,2701,2702,2703,2704,2705,2706,
2707,2710,2711,2712,2713,2714,2718,2719,2720,2721,2722,2723,2724,2725,2727,
2728,2729,2730,2963,3256,3257,3281,3282,3283,3284,3285,3286,3289,3292,3293,
3294,3295,3296,3297,3750],[1,2,3,4,13,21,22,23,24,25,26,27,85,91,99,100,108,
114,116,130,132,133,134,136,137,328,346,352,414,415,416,418,419,429,434,436,
438,627,828,986,997,998,1011,1290,1291,1292,1782,2077,2078,2079,2080,2081,2082
,2083,2743,2744,2745,2746,2747,2748,2749,3300,3301,3302,3751],[1,4,6,11,24,26,
31,48,78,135,144,216,421,437,439,451,659,847,1005,1359,2084,2200,2548,3752],[1
,2,6,9,10,22,26,29,48,73,136,140,141,216,420,423,438,439,446,447,661,847,1007,
1357,1358,2084,2196,2201,2547,3753],[1,2,4,5,9,19,23,26,28,32,41,48,75,130,139
,179,212,214,416,442,449,643,645,649,847,1031,1034,1037,1342,1343,1511,1799,
1808,2168,2293,2558,3303,3754],[1,2,3,6,10,16,23,26,29,33,45,48,79,130,140,185
,213,214,416,443,453,644,647,649,847,1032,1035,1036,1341,1344,1511,1800,1809,
2169,2293,2559,3304,3755],[1,4,6,11,26,42,48,49,135,144,216,421,439,503,664,
847,967,1335,1359,2084,2194,2549,2964,3756],[1,2,4,5,6,8,9,10,11,12,13,22,24,
28,29,40,41,44,50,51,57,73,74,82,100,101,118,120,121,139,141,144,145,148,153,
155,156,157,160,162,168,199,206,207,218,236,237,257,258,366,381,386,405,445,
447,450,474,500,507,521,522,524,569,576,577,618,619,629,688,857,866,867,868,
873,911,930,955,1039,1045,1058,1059,1067,1069,1115,1217,1225,1231,1232,1294,
1512,1562,1577,1579,1642,1658,1818,1851,1925,2103,2294,2300,2301,2307,2350,
2387,2398,2783,2965,3012,3053,3308,3757],[1,2,4,5,6,7,8,9,10,12,13,19,20,22,23
,24,31,32,34,40,41,43,44,50,65,71,74,75,76,87,88,100,101,107,118,121,124,125,
126,139,140,141,142,143,145,146,147,151,153,154,155,156,158,159,160,161,162,
174,177,199,200,205,206,207,221,237,240,241,260,262,282,367,383,388,402,405,
408,448,449,454,455,456,479,480,500,505,506,507,522,523,525,570,572,576,578,
579,618,619,620,631,690,857,860,861,862,863,865,866,869,870,871,874,914,915,
931,942,951,955,1040,1041,1044,1046,1060,1063,1068,1081,1083,1115,1116,1218,
1221,1222,1229,1230,1232,1303,1513,1514,1563,1570,1571,1575,1576,1642,1643,
1660,1665,1826,1852,1853,1924,2105,2109,2295,2297,2298,2299,2308,2309,2351,
2389,2391,2398,2399,2780,2784,2967,3013,3052,3055,3309,3758],[1,2,3,4,5,6,8,9,
11,12,13,14,15,16,17,21,28,30,32,40,41,44,50,52,54,55,57,64,67,68,69,70,118,
120,121,139,141,144,145,148,153,156,157,160,162,169,170,171,173,174,175,176,
181,218,229,232,233,234,381,383,387,405,500,502,507,510,522,524,528,529,531,
532,533,539,543,544,545,546,629,667,857,866,867,868,873,911,942,945,1039,1045,
1047,1051,1058,1059,1067,1127,1128,1129,1130,1317,1584,1585,1602,1603,1642,
1669,1841,1871,1902,2103,2294,2300,2301,2307,2350,2413,2417,2845,2984,3007,
3021,3308,3759],[1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,19,20,28,30,32,40,41,
42,43,44,45,46,50,51,52,53,54,55,56,62,63,64,65,71,118,121,124,125,126,139,140
,141,142,143,145,146,147,151,153,154,155,156,158,159,160,161,162,165,166,168,
169,170,171,173,174,175,176,179,180,190,221,228,229,230,231,381,383,384,391,
401,405,408,409,500,501,502,504,505,506,507,508,511,512,521,522,523,525,526,
528,529,530,531,532,533,534,535,536,537,538,539,541,557,559,560,631,668,857,
860,861,862,863,865,866,869,870,871,874,914,915,930,933,940,945,1040,1041,1044
,1046,1047,1049,1053,1060,1063,1068,1123,1126,1130,1131,1132,1133,1320,1584,
1585,1586,1587,1594,1596,1600,1642,1643,1644,1646,1670,1672,1840,1842,1872,
1904,2105,2109,2295,2297,2298,2299,2308,2309,2351,2413,2415,2418,2419,2844,
2846,2986,3008,3009,3022,3309,3760],[1,2,4,5,6,8,9,11,12,13,14,19,23,25,32,35,
38,40,41,44,50,57,63,75,81,89,103,110,118,120,121,139,141,144,145,148,153,156,
157,160,162,171,180,195,201,202,204,218,242,247,265,286,369,378,379,405,449,
457,460,471,472,478,484,492,497,500,507,522,524,540,612,615,629,695,857,866,
867,868,873,911,924,958,1039,1045,1058,1059,1067,1072,1103,1117,1119,1186,1188
,1197,1213,1305,1515,1526,1527,1528,1533,1642,1685,1824,1829,1855,1867,1928,
2103,2294,2300,2301,2307,2350,2403,2425,2799,2966,2971,2972,3019,3079,3308,
3761],[1,2,4,5,6,7,8,9,10,12,13,19,20,23,25,32,35,38,39,40,41,43,44,50,65,71,
75,77,81,87,93,103,107,110,118,121,124,125,126,139,140,141,142,143,145,146,147
,151,153,154,155,156,158,159,160,161,162,174,180,188,190,194,195,201,202,203,
204,221,247,248,249,262,267,288,369,375,376,377,379,405,408,449,452,457,464,
467,468,470,471,473,477,484,485,493,494,496,497,498,500,505,506,507,522,523,
525,559,612,615,616,631,703,857,860,861,862,863,865,866,869,870,871,874,914,
915,919,926,958,960,1040,1041,1044,1046,1060,1063,1068,1077,1083,1096,1104,
1117,1118,1119,1120,1187,1188,1189,1200,1208,1210,1307,1515,1518,1519,1522,
1523,1525,1526,1529,1530,1531,1534,1642,1643,1684,1687,1830,1831,1858,1860,
1866,1869,1929,2105,2109,2295,2297,2298,2299,2308,2309,2351,2405,2408,2424,
2425,2800,2803,2970,2973,2974,2975,3020,3078,3081,3309,3762],[1,2,3,4,5,6,8,9,
10,12,13,15,16,17,19,20,21,22,23,28,29,30,31,32,33,34,35,37,40,41,42,43,44,45,
50,52,55,65,68,70,71,74,79,80,81,92,107,108,118,120,121,153,154,156,160,162,
165,166,168,170,172,173,174,175,176,179,180,181,182,183,184,185,186,187,188,
189,190,191,193,205,206,221,232,268,270,272,287,331,366,367,369,372,380,381,
382,383,384,385,386,390,391,392,405,407,408,522,526,528,529,532,544,546,549,
551,552,553,554,555,557,558,559,560,597,598,599,600,605,620,621,629,757,848,
849,876,877,878,879,880,881,883,886,887,888,894,895,905,911,913,914,918,919,
921,922,933,934,938,939,940,941,942,943,944,945,1126,1127,1134,1137,1248,1249,
1250,1253,1293,1294,1295,1296,1300,1535,1536,1537,1538,1540,1552,1553,1606,
1607,1620,1626,1627,1628,1630,1632,1633,1636,1637,1638,1668,1669,1670,1671,
1673,1930,2085,2086,2087,2088,2090,2091,2092,2095,2097,2098,2120,2121,2122,
2123,2304,2354,2355,2356,2377,2380,2381,2384,2758,2759,2760,2761,2763,2765,
2766,2767,2768,2769,2777,2778,2820,2821,3024,3306,3307,3310,3358,3359,3360,
3361,3763],[1,2,4,5,6,8,9,10,12,13,19,20,22,23,28,29,31,32,34,35,40,42,44,50,
51,71,73,74,75,77,87,101,107,108,118,120,121,139,141,145,153,155,156,163,168,
172,173,174,177,178,188,189,199,200,206,209,239,241,258,262,280,331,347,366,
367,369,380,381,384,385,386,405,445,447,449,455,474,479,480,481,500,528,536,
551,562,569,575,586,592,597,604,629,799,848,849,857,866,867,868,876,877,882,
883,884,911,918,919,929,930,954,955,1069,1083,1139,1156,1160,1294,1295,1512,
1514,1535,1539,1552,1562,1567,1568,1577,1584,1592,1606,1607,1613,1614,1617,
1618,1648,1653,1658,1659,1934,2086,2087,2097,2103,2304,2311,2329,2358,2360,
2361,2369,2370,2376,2758,2770,2782,2783,3026,3311,3312,3317,3764],[1,2,3,4,5,6
,7,8,10,12,13,16,19,20,21,22,23,28,29,31,32,33,34,35,36,40,41,44,45,65,68,71,
74,76,79,80,92,101,107,108,110,118,121,124,125,126,140,143,146,155,159,162,166
,173,174,177,179,180,182,183,185,189,190,195,199,200,206,208,209,245,248,268,
270,282,339,347,366,367,369,370,382,383,387,388,393,394,398,402,405,448,453,
454,461,479,483,486,487,505,554,556,560,561,576,582,586,592,602,603,607,631,
804,848,849,865,869,870,871,878,880,891,894,895,897,915,918,924,942,943,954,
955,1081,1085,1144,1163,1167,1297,1302,1303,1513,1517,1536,1540,1554,1570,1571
,1581,1582,1593,1595,1607,1609,1613,1614,1626,1632,1654,1655,1665,1666,1937,
2093,2094,2099,2109,2305,2326,2331,2358,2363,2365,2373,2374,2380,2762,2775,
2784,2785,3027,3314,3315,3319,3765],[1,2,3,4,5,7,8,9,15,16,17,19,20,23,24,25,
32,34,37,38,39,41,43,46,52,56,75,88,92,93,105,106,111,119,125,127,139,142,154,
164,190,191,192,193,194,197,203,207,210,253,275,277,333,349,368,371,376,401,
402,403,404,406,449,467,496,499,502,558,564,580,596,608,610,633,807,850,851,
860,872,902,907,910,912,917,920,948,956,1089,1141,1182,1298,1299,1519,1543,
1544,1551,1572,1583,1599,1610,1611,1616,1635,1657,1667,1940,2096,2100,2102,
2306,2338,2359,2366,2375,2385,2764,2771,2786,3028,3316,3320,3766],[1,2,3,4,7,8
,9,15,16,24,25,34,37,43,46,52,96,97,98,99,105,111,119,122,127,142,145,154,191,
193,333,344,345,368,371,399,406,511,558,566,567,636,733,850,851,859,872,912,
917,920,1313,1551,1556,1557,1558,1559,1598,1610,1611,2019,2114,2306,2367,2368,
2752,2757,2829,2983,3767],[1,2,3,4,7,8,9,15,16,24,25,34,37,43,46,52,96,97,98,
99,105,111,119,123,127,142,145,154,191,193,333,344,345,368,371,400,406,511,558
,566,568,637,733,850,851,858,872,912,917,920,1312,1551,1556,1557,1558,1559,
1597,1610,1611,2020,2115,2306,2367,2368,2753,2756,2828,2983,3768],[1,2,3,4,6,8
,9,15,16,24,25,34,37,42,43,44,45,52,96,97,98,99,105,111,119,120,154,156,165,
166,191,193,333,344,345,368,371,385,392,406,407,526,558,565,634,733,850,851,
912,913,917,920,934,941,1282,1309,1310,1311,1551,1556,1557,1558,1559,1610,1611
,1671,2021,2111,2154,2156,2306,2367,2368,2751,2830,2983,3370,3769],[1,2,3,4,5,
7,8,9,15,16,24,25,34,37,41,43,52,96,97,98,99,105,111,119,125,127,139,142,154,
191,193,207,333,344,345,368,371,402,406,502,558,611,633,733,850,851,860,872,
912,917,920,1141,1298,1551,1556,1557,1558,1559,1599,1610,1611,1901,2100,2102,
2306,2367,2368,2771,2827,2983,3320,3770],[1,2,4,5,6,8,9,10,12,13,19,20,22,23,
28,29,32,35,38,40,41,43,44,50,51,65,71,73,74,75,76,77,101,108,118,120,121,153,
154,155,156,159,160,162,168,173,174,179,180,188,189,190,194,195,199,201,203,
204,206,208,219,221,258,280,281,282,332,366,369,378,379,381,383,386,387,390,
405,407,408,474,479,482,483,484,485,496,497,498,521,522,528,536,551,556,557,
559,560,561,569,574,576,586,593,595,597,607,609,613,619,629,743,876,880,881,
884,895,903,906,911,913,914,915,918,919,924,925,926,930,937,938,942,944,945,
953,955,958,959,960,961,1125,1126,1156,1167,1168,1169,1181,1202,1203,1225,1243
,1254,1293,1294,1296,1305,1317,1552,1554,1613,1617,1626,1627,1628,1629,1634,
1648,1654,1656,1658,1664,1665,1669,1672,1673,1678,1680,1682,1684,1685,1686,
1687,1690,1691,1699,1704,1705,1708,2009,2085,2086,2088,2092,2101,2110,2116,
2118,2120,2121,2127,2128,2136,2141,2352,2354,2370,2373,2430,2433,2436,2444,
2446,2447,2454,2465,2765,2766,2776,2777,2787,2791,2795,2797,2808,2816,2818,
2822,2825,2856,3103,3306,3321,3323,3327,3333,3353,3368,3771],[1,2,3,4,5,6,8,9,
10,12,13,15,16,17,19,20,21,22,23,28,29,30,31,32,33,34,35,37,38,40,41,42,43,44,
45,46,50,52,55,56,62,65,68,70,71,73,75,76,77,79,80,87,92,106,107,108,109,118,
120,121,153,154,155,156,158,159,160,161,162,163,164,165,166,168,169,170,172,
173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,
192,193,194,195,197,199,200,201,203,204,205,206,208,209,210,231,232,262,268,
270,275,278,279,281,283,338,366,367,369,372,378,379,380,381,382,383,384,385,
386,387,388,389,390,391,392,405,407,408,409,474,475,480,481,482,483,484,485,
486,487,488,489,491,496,497,498,499,522,525,526,527,528,529,532,533,534,535,
537,544,546,547,548,549,550,551,552,553,554,555,556,557,558,560,561,562,564,
569,570,574,575,578,580,581,582,583,589,590,591,592,593,595,596,598,602,603,
604,605,607,609,610,613,617,620,623,629,761,877,878,879,881,882,883,884,885,
886,887,888,889,890,891,892,893,894,903,905,906,911,913,914,915,916,918,919,
921,922,923,924,925,926,927,929,930,931,932,933,934,935,936,937,938,939,940,
941,942,943,944,945,946,947,951,952,953,954,955,958,959,960,961,962,1127,1133,
1134,1135,1145,1160,1161,1162,1163,1164,1165,1166,1168,1170,1172,1175,1181,
1182,1198,1202,1215,1216,1221,1227,1238,1245,1250,1256,1293,1294,1295,1296,
1300,1305,1317,1318,1552,1553,1554,1555,1614,1615,1618,1619,1620,1621,1622,
1623,1624,1625,1629,1630,1631,1632,1633,1634,1636,1637,1638,1639,1649,1650,
1651,1652,1653,1654,1655,1656,1658,1659,1660,1661,1662,1663,1664,1666,1668,
1669,1670,1671,1673,1674,1675,1676,1678,1679,1680,1681,1682,1683,1684,1685,
1686,1687,1688,1690,1691,1692,1693,1694,1700,1701,1702,1703,1704,1705,1706,
1707,1709,1710,1711,1999,2011,2085,2087,2090,2091,2095,2101,2110,2116,2117,
2118,2119,2120,2121,2122,2123,2127,2128,2129,2130,2137,2138,2139,2140,2353,
2355,2356,2357,2369,2371,2372,2374,2430,2431,2432,2434,2435,2437,2442,2443,
2445,2446,2448,2449,2450,2451,2452,2453,2454,2462,2463,2464,2767,2768,2769,
2776,2777,2778,2788,2789,2790,2795,2796,2797,2798,2806,2807,2816,2817,2818,
2819,2823,2824,2825,2826,2853,2854,2855,3102,3104,3307,3322,3324,3325,3326,
3334,3335,3351,3352,3368,3369,3772],[1,2,4,5,6,8,9,10,11,12,13,19,20,22,23,28,
32,40,41,44,50,57,65,71,73,75,76,77,87,107,108,118,120,121,139,141,144,145,148
,153,155,156,157,158,159,160,161,162,173,174,205,206,208,218,221,261,262,263,
281,331,381,383,387,405,445,449,500,507,522,523,524,525,528,569,570,571,572,
574,578,620,621,629,742,857,866,867,868,873,911,915,942,945,961,1039,1041,1045
,1046,1058,1059,1067,1068,1078,1083,1137,1139,1142,1219,1220,1221,1223,1317,
1562,1563,1566,1584,1602,1642,1669,1678,1874,1920,1948,1950,2103,2294,2300,
2301,2307,2309,2350,2389,2393,2427,2811,2845,2992,2995,3014,3076,3308,3773],[1
,2,4,5,6,7,8,9,10,12,13,19,20,22,23,28,32,40,41,42,43,44,46,50,51,65,71,73,74,
75,76,77,101,108,118,121,124,125,126,139,140,141,142,143,145,146,147,151,153,
154,155,156,158,159,160,161,162,163,164,168,173,205,206,209,210,219,221,258,
280,281,282,332,381,383,384,401,405,408,409,445,449,500,501,505,506,507,508,
521,522,523,525,536,569,570,571,572,575,576,580,619,621,631,743,857,860,861,
862,863,865,866,869,870,871,874,914,915,916,930,945,962,1040,1041,1044,1046,
1050,1052,1060,1063,1066,1068,1069,1078,1138,1140,1143,1222,1223,1224,1225,
1320,1562,1563,1567,1572,1586,1594,1642,1643,1644,1672,1679,1875,1921,1947,
1951,2105,2109,2295,2297,2298,2299,2308,2309,2310,2351,2387,2393,2426,2814,
2844,2994,2996,3015,3077,3309,3774],[1,2,4,5,6,7,8,9,10,11,12,13,19,20,22,23,
29,35,40,41,43,44,50,57,65,71,73,75,76,77,87,107,108,118,121,124,125,126,139,
140,141,142,143,145,146,147,151,153,154,155,156,157,158,159,160,161,162,188,
189,205,206,208,218,221,261,262,263,281,331,386,390,393,405,408,446,452,500,
505,506,507,522,523,524,525,551,569,570,571,572,574,578,620,621,631,742,857,
860,861,862,863,865,866,869,870,871,874,911,914,915,938,944,961,1039,1040,1041
,1044,1045,1046,1060,1063,1067,1068,1079,1080,1137,1139,1142,1219,1220,1221,
1223,1319,1564,1565,1569,1592,1601,1642,1643,1673,1678,1873,1920,1948,1950,
2105,2109,2295,2297,2298,2299,2307,2308,2309,2351,2388,2390,2427,2812,2849,
2993,2997,3016,3076,3309,3775],[1,2,4,5,6,8,9,11,12,13,24,31,40,41,42,44,46,49
,50,57,78,82,102,118,120,121,139,141,144,145,148,153,156,157,160,162,207,218,
238,259,380,388,389,405,409,451,500,503,507,513,520,522,524,573,577,622,629,
687,857,866,867,868,873,911,1039,1045,1058,1059,1067,1226,1233,1318,1580,1642,
1647,1817,1845,1847,1922,2103,2294,2300,2301,2307,2350,2976,2978,3011,3082,
3308,3776],[1,2,4,5,6,8,9,10,11,12,13,19,20,22,23,28,29,32,35,40,41,44,50,57,
65,71,73,75,76,77,87,107,108,118,120,121,139,141,144,145,148,153,155,156,157,
160,162,168,173,174,179,180,188,189,190,199,201,206,218,221,261,262,263,281,
331,366,369,381,386,405,445,447,449,457,474,482,483,484,494,500,507,522,524,
528,551,557,559,560,569,613,616,629,742,857,866,867,868,873,911,918,919,930,
955,1039,1041,1045,1058,1059,1067,1078,1083,1098,1104,1126,1139,1183,1202,1206
,1207,1208,1294,1512,1515,1552,1562,1577,1584,1592,1642,1658,1874,1891,1944,
1948,2103,2294,2300,2301,2307,2350,2400,2407,2408,2418,2770,2783,2990,2992,
3004,3070,3308,3777],[1,2,3,4,5,6,7,8,9,10,12,13,15,16,17,19,20,21,22,23,30,31
,32,33,34,37,40,41,43,44,50,52,55,65,68,70,71,74,79,80,81,92,107,108,118,121,
124,125,126,139,140,141,142,143,145,146,147,151,153,154,155,156,158,159,160,
161,162,170,174,175,176,181,182,184,191,193,199,201,206,221,232,268,270,272,
287,331,367,372,383,388,402,405,408,448,453,454,458,475,476,477,479,491,500,
502,505,506,507,522,523,525,529,532,544,546,552,558,576,613,616,631,757,857,
860,861,862,863,865,866,869,870,871,874,914,915,921,922,942,955,1040,1041,1044
,1046,1051,1060,1063,1068,1076,1085,1095,1105,1127,1139,1183,1198,1199,1201,
1212,1303,1513,1516,1553,1570,1571,1585,1588,1599,1642,1643,1665,1878,1896,
1943,1955,2105,2109,2295,2297,2298,2299,2308,2309,2351,2400,2402,2404,2417,
2773,2784,2988,2998,3001,3071,3309,3778],[1,2,4,5,6,7,8,9,10,12,13,14,19,20,22
,23,28,29,32,35,40,41,43,44,50,63,65,71,73,75,76,77,81,108,110,118,121,124,125
,126,139,140,141,142,143,145,146,147,151,153,154,155,156,158,159,160,161,162,
168,171,173,179,180,189,195,199,201,208,221,227,281,286,288,289,339,366,369,
387,393,405,408,445,447,449,457,474,478,482,483,484,500,505,506,507,522,523,
525,540,541,556,557,561,574,613,615,631,764,857,860,861,862,863,865,866,869,
870,871,874,914,915,918,924,937,953,1040,1041,1044,1046,1048,1060,1063,1068,
1072,1078,1098,1103,1124,1144,1184,1202,1211,1213,1214,1297,1512,1515,1554,
1566,1578,1593,1595,1642,1643,1664,1876,1890,1946,1954,2105,2109,2295,2297,
2298,2299,2308,2309,2351,2401,2403,2407,2414,2775,2779,2989,2999,3000,3068,
3309,3779],[1,2,3,4,5,6,8,9,11,12,13,21,25,30,33,37,40,41,44,45,50,57,66,86,91
,113,118,120,121,139,141,144,145,148,153,156,157,160,162,181,202,218,254,300,
372,382,391,392,405,459,469,490,495,500,507,509,522,524,542,614,629,691,857,
866,867,868,873,911,1039,1045,1058,1059,1067,1190,1204,1300,1532,1604,1642,
1819,1825,1846,1926,2103,2294,2300,2301,2307,2350,2977,2982,3018,3093,3308,
3780],[1,2,4,5,6,7,8,9,10,12,13,19,20,22,23,28,29,31,32,34,35,38,39,40,41,42,
44,46,50,51,65,71,73,74,75,76,77,101,108,118,121,124,125,126,140,143,146,153,
155,156,159,160,162,163,168,172,173,174,177,178,179,180,188,189,190,195,197,
199,201,204,206,208,219,221,258,280,281,282,332,366,367,369,375,376,377,379,
381,383,384,386,387,388,393,401,402,405,409,446,448,452,454,464,470,474,479,
482,483,484,485,497,498,501,505,508,521,522,528,536,551,556,557,559,560,561,
562,569,574,576,586,593,595,597,607,609,613,619,631,743,865,869,870,871,876,
880,881,883,884,891,892,895,904,906,910,911,915,918,919,924,927,930,942,945,
946,947,955,958,961,1050,1070,1080,1081,1082,1111,1125,1126,1156,1167,1168,
1169,1181,1202,1203,1225,1243,1254,1297,1303,1307,1319,1320,1513,1518,1529,
1530,1531,1552,1554,1564,1569,1570,1571,1586,1593,1594,1595,1613,1617,1626,
1627,1628,1629,1639,1644,1648,1654,1658,1665,1669,1672,1678,1680,1682,1684,
1685,1691,1699,1704,1708,1882,2009,2093,2109,2131,2134,2142,2143,2312,2331,
2332,2333,2347,2348,2352,2354,2370,2373,2394,2409,2420,2430,2433,2436,2444,
2446,2447,2465,2775,2784,2794,2800,2812,2844,3048,3103,3314,3337,3349,3374,
3381,3781],[1,2,4,5,6,8,9,10,12,13,19,20,22,23,28,29,32,35,38,40,41,44,50,51,
65,71,73,74,75,76,77,101,108,118,120,121,139,141,145,153,155,156,159,160,162,
168,173,174,179,180,188,189,190,195,199,201,204,206,208,219,221,258,280,281,
282,332,366,369,378,379,381,383,386,387,405,445,447,449,457,471,474,479,482,
483,484,485,497,498,500,507,521,522,528,536,551,556,557,559,560,561,569,574,
576,586,593,595,597,607,609,613,619,629,743,857,866,867,868,876,880,881,884,
895,906,911,915,918,919,924,930,942,945,955,958,961,1041,1069,1078,1098,1125,
1126,1156,1167,1168,1169,1181,1202,1203,1225,1243,1254,1294,1305,1317,1512,
1515,1526,1527,1528,1552,1554,1562,1566,1577,1584,1592,1602,1613,1617,1626,
1627,1628,1629,1642,1648,1654,1658,1665,1669,1672,1678,1680,1682,1684,1685,
1691,1699,1704,1708,1875,2009,2086,2103,2128,2136,2311,2330,2345,2346,2352,
2354,2370,2373,2387,2407,2418,2430,2433,2436,2444,2446,2447,2465,2770,2783,
2787,2799,2811,2845,3047,3103,3311,3336,3347,3371,3378,3782],[1,2,3,4,5,6,8,9,
10,12,13,15,16,17,19,20,21,22,23,28,29,31,32,33,34,35,38,40,41,42,44,45,46,50,
52,55,56,62,65,68,70,71,73,75,76,77,79,80,87,92,106,107,108,109,118,120,121,
139,141,145,153,155,156,159,162,163,165,166,172,173,174,177,178,179,180,182,
183,184,185,186,187,188,189,190,195,197,200,201,204,206,208,209,231,232,262,
268,270,275,278,279,281,283,338,366,367,369,378,379,380,381,382,384,385,386,
387,388,389,405,409,445,449,455,457,471,480,481,484,485,486,487,488,489,497,
498,500,502,511,526,527,528,547,548,549,550,551,552,553,554,555,556,560,561,
562,569,574,575,581,582,590,591,592,593,595,602,603,604,607,609,617,623,629,
761,857,866,867,868,877,878,879,882,883,884,891,892,893,894,906,911,915,918,
919,924,927,929,939,943,946,947,954,958,961,1051,1071,1078,1083,1087,1089,1134
,1135,1160,1161,1162,1163,1164,1165,1166,1168,1181,1215,1216,1227,1245,1256,
1294,1295,1305,1317,1318,1514,1515,1526,1527,1528,1552,1554,1562,1566,1567,
1568,1584,1588,1589,1592,1614,1618,1630,1631,1632,1633,1639,1646,1653,1655,
1659,1666,1668,1674,1678,1680,1682,1684,1685,1694,1702,1703,1709,1889,2011,
2087,2103,2128,2129,2139,2140,2322,2323,2324,2329,2330,2345,2353,2355,2369,
2374,2395,2412,2421,2430,2432,2435,2445,2452,2453,2462,2770,2782,2788,2799,
2811,2843,3050,3102,3312,3336,3348,3377,3382,3783],[1,2,3,4,5,6,7,8,9,10,12,13
,15,16,17,19,20,21,22,23,28,29,31,32,33,35,36,38,39,40,42,44,45,47,50,52,55,56
,62,65,68,70,71,73,75,76,77,79,80,87,92,106,107,108,109,118,121,124,125,126,
140,143,146,153,155,156,159,163,165,166,172,173,174,177,178,180,182,183,184,
185,186,187,188,189,195,198,200,201,204,206,208,209,231,232,262,268,270,275,
278,279,281,283,338,366,369,370,375,376,377,379,380,382,386,387,393,394,397,
398,405,410,446,452,453,461,464,470,480,481,484,485,486,487,488,489,497,498,
504,505,514,526,527,528,547,548,549,550,551,552,553,554,555,556,561,562,569,
574,575,581,582,590,591,592,593,595,602,603,604,607,609,617,623,631,761,865,
869,870,871,877,878,879,882,894,897,898,901,904,906,911,915,918,919,924,928,
929,939,943,949,954,958,961,1053,1073,1080,1085,1086,1113,1134,1135,1160,1161,
1162,1163,1164,1165,1166,1168,1181,1215,1216,1227,1245,1256,1297,1302,1307,
1319,1322,1517,1518,1529,1530,1531,1552,1554,1564,1569,1581,1582,1590,1591,
1593,1595,1614,1618,1630,1631,1632,1633,1640,1645,1653,1655,1659,1666,1668,
1674,1678,1680,1682,1684,1685,1694,1702,1703,1709,1881,2011,2094,2109,2131,
2132,2144,2145,2325,2326,2327,2328,2332,2347,2353,2355,2369,2374,2396,2410,
2422,2430,2432,2435,2445,2452,2453,2462,2775,2785,2793,2800,2812,2848,3049,
3102,3315,3337,3346,3375,3383,3784],[1,2,3,4,5,6,7,8,9,10,12,13,15,16,17,19,20
,21,22,23,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,50,52,55,56,62
,65,68,70,71,73,75,76,77,79,80,87,92,106,107,108,109,118,121,124,125,126,139,
141,142,145,153,154,156,158,159,160,161,162,163,164,165,166,168,169,170,172,
173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,
192,193,194,195,197,199,200,201,203,204,205,208,209,210,231,232,262,268,270,
275,278,279,281,283,338,366,367,369,372,375,376,377,379,383,384,386,387,388,
390,391,393,401,402,405,408,409,445,447,449,455,457,467,471,474,475,480,481,
482,483,484,486,487,488,489,491,496,497,498,499,500,502,507,511,522,525,526,
527,529,532,533,534,535,537,544,546,547,548,549,550,551,552,553,554,555,557,
558,560,561,562,564,570,574,575,578,580,581,582,583,589,590,591,592,595,596,
598,602,603,604,605,609,610,613,617,620,623,631,761,857,860,861,862,863,866,
880,883,885,886,887,888,889,891,892,895,903,904,905,906,910,914,916,918,921,
922,923,926,927,931,933,935,936,937,938,940,942,944,946,947,951,953,960,962,
1051,1071,1078,1083,1087,1089,1098,1127,1133,1134,1135,1145,1160,1161,1162,
1163,1164,1165,1166,1170,1172,1175,1181,1182,1198,1202,1215,1216,1221,1227,
1238,1245,1250,1256,1297,1303,1307,1319,1320,1512,1514,1515,1519,1522,1523,
1525,1526,1553,1555,1563,1566,1567,1572,1575,1578,1585,1588,1592,1596,1599,
1601,1615,1619,1620,1621,1622,1624,1625,1626,1634,1636,1637,1638,1639,1642,
1646,1649,1650,1651,1656,1660,1662,1663,1664,1670,1673,1675,1676,1679,1681,
1683,1687,1688,1690,1692,1700,1701,1705,1706,1710,1711,1889,1999,2011,2093,
2105,2131,2134,2142,2143,2313,2322,2323,2329,2334,2338,2339,2345,2349,2356,
2357,2371,2372,2389,2395,2407,2412,2417,2421,2431,2434,2437,2442,2443,2448,
2449,2450,2454,2463,2464,2773,2779,2780,2794,2803,2814,2846,2849,3032,3050,
3104,3313,3339,3350,3372,3376,3379,3380,3785],[1,2,3,4,5,6,8,9,10,12,13,15,16,
17,21,22,23,25,28,29,31,32,33,35,40,41,42,44,45,46,50,51,52,55,68,70,73,74,77,
79,91,101,103,110,118,120,121,139,141,145,153,155,156,162,165,166,168,172,173,
174,182,183,184,185,186,187,188,189,199,201,206,232,244,245,247,258,264,284,
366,369,380,381,382,386,388,389,405,409,445,447,474,479,482,500,502,511,526,
528,536,549,551,552,553,554,555,569,586,597,629,701,849,852,857,866,867,868,
876,877,878,879,884,894,911,918,919,930,939,943,946,955,1051,1069,1117,1134,
1156,1294,1318,1512,1538,1539,1541,1552,1562,1577,1584,1588,1589,1592,1608,
1609,1613,1617,1630,1632,1633,1646,1648,1658,1668,1857,2086,2103,2139,2147,
2311,2355,2362,2363,2370,2379,2382,2421,2439,2770,2783,2833,2843,3096,3311,
3328,3348,3786],[1,2,4,5,6,8,9,10,12,13,19,20,23,25,28,29,31,32,34,35,40,41,42
,44,50,65,71,75,77,81,87,93,103,107,110,118,120,121,139,141,145,153,155,156,
160,162,163,168,172,173,174,177,178,179,180,188,189,190,200,201,209,221,247,
248,249,262,267,288,366,367,369,380,381,383,384,385,386,387,405,449,455,480,
481,485,500,507,522,528,551,557,559,560,562,575,592,604,629,703,849,852,857,
866,867,868,876,877,880,881,882,883,895,911,918,919,929,930,942,945,954,1041,
1083,1117,1126,1160,1294,1295,1317,1514,1537,1539,1542,1552,1567,1568,1584,
1592,1602,1608,1609,1614,1618,1626,1627,1628,1642,1653,1659,1669,1858,2087,
2103,2136,2147,2329,2354,2364,2365,2369,2378,2383,2418,2439,2770,2782,2832,
2845,3099,3312,3328,3347,3787],[1,2,3,4,5,6,7,8,10,12,13,15,16,17,19,20,22,23,
25,28,29,31,32,33,34,35,40,41,42,44,45,47,55,56,62,65,71,74,76,81,92,93,101,
103,107,118,121,124,125,126,140,143,146,155,159,162,163,165,166,172,173,174,
177,178,179,180,184,185,186,187,189,190,195,199,204,206,231,241,244,249,267,
272,282,366,367,369,380,382,383,387,388,393,394,397,402,405,410,448,454,479,
483,489,504,505,514,527,547,548,549,550,556,560,561,562,576,586,607,631,702,
849,852,865,869,870,871,877,878,879,880,882,891,895,915,918,924,929,939,942,
949,955,1053,1081,1118,1135,1167,1297,1303,1322,1513,1537,1540,1542,1554,1570,
1571,1590,1591,1593,1595,1606,1608,1613,1618,1626,1630,1631,1645,1654,1665,
1674,1861,2093,2109,2144,2149,2331,2353,2361,2362,2373,2378,2381,2422,2438,
2775,2784,2838,2848,3098,3314,3329,3346,3788],[1,2,3,4,5,6,7,8,10,13,16,19,21,
23,25,28,29,32,33,35,36,40,41,42,44,45,46,51,65,68,79,91,92,103,107,118,121,
124,125,126,140,143,146,155,159,160,163,166,168,173,179,180,182,183,185,189,
195,200,204,209,219,239,249,264,268,366,369,370,381,382,383,384,387,393,394,
398,401,405,409,453,461,486,487,488,501,505,508,521,536,554,556,557,561,582,
592,603,631,697,849,852,865,869,870,871,876,878,880,881,884,894,897,915,918,
924,930,943,945,947,954,1050,1085,1118,1125,1163,1297,1302,1320,1517,1538,1540
,1541,1554,1581,1582,1586,1593,1594,1595,1606,1608,1614,1617,1628,1629,1632,
1644,1655,1666,1672,1862,2094,2109,2142,2149,2326,2352,2360,2364,2374,2377,
2379,2420,2438,2775,2785,2839,2844,3097,3315,3329,3349,3789],[1,2,3,4,5,6,8,10
,12,13,16,19,20,21,22,23,25,28,29,30,31,32,33,35,37,40,41,42,43,44,45,46,51,68
,71,74,77,80,91,92,93,103,108,118,120,121,155,158,159,160,161,162,163,164,166,
168,172,173,174,175,177,178,179,180,181,182,183,185,188,189,190,193,199,201,
202,203,204,205,206,208,264,267,270,280,350,366,369,372,380,381,382,383,386,
387,388,389,390,391,392,405,407,408,409,475,479,482,485,488,489,490,491,493,
498,499,521,525,536,544,554,559,560,562,571,576,581,593,595,597,600,602,605,
612,613,621,629,774,848,849,852,876,877,878,880,881,882,884,887,894,895,905,
915,916,918,919,921,929,930,931,932,936,937,938,940,941,942,943,944,945,946,
953,955,958,959,960,961,1165,1169,1194,1196,1198,1200,1203,1224,1249,1293,1294
,1296,1300,1317,1318,1535,1536,1539,1540,1541,1542,1607,1608,1617,1618,1626,
1627,1632,1637,1648,1649,1662,1665,1672,1675,1680,1684,1688,1690,1691,1692,
1693,1694,1704,1705,1708,1709,2016,2088,2090,2092,2095,2097,2098,2101,2116,
2117,2118,2120,2121,2122,2136,2137,2139,2141,2148,2376,2378,2379,2380,2428,
2432,2433,2447,2450,2759,2763,2766,2768,2795,2810,2820,2822,2823,2825,2826,
2836,2837,2840,2841,2853,2856,3108,3325,3327,3331,3342,3343,3358,3362,3790],[1
,2,3,4,5,6,8,10,12,13,16,19,20,21,22,23,28,29,30,32,33,35,37,38,40,41,43,44,45
,65,68,71,74,76,79,80,92,101,107,108,110,118,120,121,155,159,160,162,166,168,
173,174,175,179,180,181,182,183,185,188,189,190,193,194,195,199,200,201,205,
206,208,209,210,245,248,268,270,282,339,347,366,369,372,378,379,381,382,383,
386,387,390,391,392,405,407,408,479,483,486,487,544,554,556,557,559,560,561,
576,582,585,586,592,593,597,598,600,603,605,607,609,610,615,619,620,621,629,
804,848,849,878,880,881,884,887,894,895,903,905,906,915,918,919,921,924,925,
926,930,937,938,940,941,942,943,944,945,951,952,953,954,955,961,962,1163,1167,
1235,1241,1249,1250,1254,1257,1259,1293,1294,1296,1300,1305,1317,1536,1540,
1554,1607,1609,1613,1614,1626,1627,1629,1632,1634,1637,1648,1650,1651,1652,
1654,1655,1656,1665,1666,1682,1683,1699,1701,1708,1711,2047,2088,2090,2092,
2095,2097,2098,2110,2116,2118,2119,2120,2121,2122,2127,2128,2147,2305,2358,
2363,2365,2373,2374,2380,2442,2444,2759,2763,2766,2768,2806,2808,2809,2816,
2818,2819,2820,2850,2851,2854,2856,3027,3351,3353,3354,3356,3358,3363,3365,
3791],[1,2,3,4,5,6,7,8,10,12,13,15,16,17,19,20,22,23,28,29,31,32,33,35,40,41,
42,44,45,46,47,51,55,56,62,65,71,74,77,79,80,81,108,110,118,121,124,125,126,
140,143,146,155,159,160,163,165,166,168,172,173,177,178,179,180,184,185,186,
187,189,195,208,219,231,280,284,287,288,339,366,369,380,381,382,383,384,387,
393,394,397,401,405,409,410,501,504,505,508,514,521,527,536,547,548,549,550,
556,557,561,562,581,631,765,848,849,865,869,870,871,876,877,878,879,880,881,
882,884,915,918,924,929,930,939,945,947,949,1050,1053,1125,1135,1144,1297,1320
,1322,1535,1536,1537,1538,1539,1554,1586,1590,1591,1593,1594,1595,1607,1609,
1617,1618,1628,1629,1630,1631,1644,1645,1672,1674,1952,2099,2109,2142,2144,
2305,2352,2353,2376,2382,2383,2384,2420,2422,2775,2842,2844,2848,3025,3319,
3346,3349,3792],[1,2,3,4,5,6,8,9,10,12,13,15,16,17,19,20,21,22,23,28,29,31,32,
33,35,40,41,42,44,45,46,50,52,55,65,68,70,71,74,79,80,81,92,107,108,118,120,
121,139,141,145,153,155,156,160,162,165,166,168,172,173,174,179,180,182,183,
184,185,186,187,188,189,190,206,221,232,268,270,272,287,331,366,369,380,381,
382,383,386,387,388,389,405,409,500,502,507,511,522,526,528,549,551,552,553,
554,555,557,559,560,576,629,757,848,849,857,866,867,868,876,877,878,879,880,
881,894,895,911,918,919,930,939,942,943,945,946,1041,1051,1126,1134,1139,1294,
1317,1318,1535,1536,1537,1538,1540,1552,1584,1588,1589,1592,1602,1606,1607,
1626,1627,1628,1630,1632,1633,1642,1646,1668,1669,1955,2097,2103,2136,2139,
2304,2354,2355,2377,2380,2381,2384,2418,2421,2770,2841,2843,2845,3024,3317,
3347,3348,3793],[1,2,4,5,6,8,9,10,12,13,19,20,22,23,28,29,31,32,35,40,41,42,43
,44,46,50,51,71,73,74,75,77,87,101,107,108,118,120,121,153,154,155,156,158,159
,160,161,162,163,164,168,172,173,174,177,178,188,189,199,200,205,206,208,209,
210,239,241,258,262,280,331,347,366,369,380,381,383,386,387,388,389,390,405,
407,408,409,474,479,480,481,521,522,525,528,536,551,562,569,570,571,574,575,
576,578,580,586,592,597,604,619,620,621,629,799,848,849,876,877,882,884,911,
913,914,915,916,918,919,929,930,931,932,936,937,938,942,944,945,946,951,952,
953,954,955,961,962,1137,1156,1160,1221,1224,1225,1228,1230,1235,1293,1294,
1296,1317,1318,1535,1539,1552,1606,1607,1613,1614,1617,1618,1648,1653,1658,
1659,1660,1661,1663,1664,1665,1669,1672,1673,1675,1678,1679,1699,1701,1708,
1710,2022,2085,2097,2098,2116,2117,2118,2119,2120,2121,2136,2137,2139,2141,
2304,2358,2360,2361,2369,2370,2376,2464,2465,2777,2797,2798,2806,2808,2820,
2821,2822,2823,2840,2841,2855,2856,3026,3310,3333,3334,3362,3365,3366,3367,
3794],[1,2,4,5,6,8,9,10,12,13,19,22,23,25,28,29,32,35,38,40,41,43,44,50,65,73,
75,76,77,103,107,108,110,118,120,121,153,154,155,156,159,160,162,168,173,174,
179,180,188,189,194,195,199,201,202,203,204,205,206,208,247,249,281,331,339,
350,351,366,369,378,379,381,383,386,387,390,405,407,408,474,482,483,484,485,
496,497,498,522,528,551,556,557,561,569,574,585,593,595,607,609,612,613,615,
620,621,629,810,848,849,852,881,884,903,906,911,913,914,915,918,919,924,925,
926,930,937,938,942,944,945,953,955,958,959,960,961,1137,1168,1181,1188,1194,
1195,1202,1241,1260,1293,1294,1296,1305,1317,1552,1554,1606,1607,1608,1609,
1629,1634,1654,1656,1658,1664,1669,1673,1678,1680,1682,1684,1685,1686,1687,
1690,1691,1704,1705,2028,2085,2097,2098,2101,2110,2116,2118,2120,2121,2127,
2128,2147,2148,2304,2305,2428,2429,2430,2438,2439,2446,2454,2776,2777,2795,
2797,2809,2810,2816,2818,2820,2821,2825,2850,2851,3106,3310,3331,3332,3341,
3363,3364,3368,3795],[1,2,3,4,5,6,8,10,12,13,15,16,17,19,20,22,23,28,29,30,31,
32,33,34,35,37,40,41,42,43,44,45,51,55,71,74,77,79,81,92,106,107,108,109,110,
118,120,121,155,159,160,162,165,168,170,172,173,174,175,176,179,180,184,185,
186,187,188,189,190,191,199,200,201,203,204,205,206,208,209,210,239,248,272,
280,284,338,351,366,367,369,372,380,381,382,383,384,385,386,387,390,391,392,
405,407,408,476,479,482,485,498,521,532,536,549,559,560,576,583,589,590,591,
592,593,595,596,597,599,605,613,615,617,620,623,629,803,849,876,877,878,879,
880,881,883,884,886,887,888,895,915,918,919,922,930,933,934,937,938,939,942,
944,945,951,952,953,954,955,958,959,960,961,962,1169,1195,1203,1209,1228,1238,
1245,1248,1257,1293,1294,1295,1296,1300,1317,1537,1538,1539,1540,1606,1609,
1614,1615,1617,1620,1626,1627,1630,1648,1665,1672,1680,1681,1684,1690,1691,
1700,1701,1702,1703,1704,1705,1706,1707,1708,2034,2087,2088,2090,2091,2092,
2098,2101,2116,2118,2119,2120,2121,2123,2136,2141,2147,2360,2365,2381,2382,
2429,2433,2435,2437,2447,2761,2763,2766,2767,2795,2796,2806,2807,2809,2821,
2822,2825,2832,2834,2856,3100,3324,3327,3332,3345,3356,3360,3367,3796],[1,2,3,
4,5,6,8,10,12,13,16,19,20,21,22,23,28,29,30,31,32,33,35,37,40,41,42,43,44,45,
46,65,68,71,77,79,80,81,92,101,107,108,110,118,120,121,158,160,161,162,163,164
,166,168,172,173,175,177,178,179,180,181,182,183,185,189,193,199,201,203,204,
205,206,208,241,245,268,270,288,332,351,366,369,372,380,381,382,383,386,388,
389,390,391,392,405,407,408,409,475,478,482,488,489,491,499,525,544,554,557,
562,581,586,593,595,598,602,605,613,615,619,620,629,806,849,876,877,878,880,
881,882,887,894,905,916,918,921,929,931,932,936,938,940,941,943,945,946,953,
955,958,959,960,961,1165,1195,1198,1211,1230,1243,1250,1259,1293,1294,1296,
1300,1318,1537,1538,1539,1540,1606,1609,1613,1618,1628,1632,1637,1649,1662,
1675,1680,1688,1692,1693,1694,1699,1704,1705,1709,2035,2086,2090,2092,2095,
2098,2101,2117,2118,2120,2122,2137,2139,2147,2361,2363,2377,2383,2429,2432,
2436,2450,2760,2763,2765,2768,2795,2808,2809,2821,2823,2826,2833,2835,2853,
3101,3323,3325,3332,3344,3354,3359,3366,3797],[1,2,4,5,6,8,9,10,12,13,19,22,23
,25,28,29,32,35,38,40,44,50,65,73,75,76,77,103,107,108,110,118,120,121,139,141
,145,153,155,156,159,173,174,180,188,189,195,201,204,206,208,247,249,281,331,
339,350,351,366,369,378,379,381,386,387,405,445,449,457,471,484,485,497,498,
500,528,551,556,561,569,574,593,595,607,609,629,810,848,849,852,857,866,867,
868,884,906,911,915,918,919,924,958,961,1078,1117,1139,1168,1181,1294,1305,
1317,1515,1526,1527,1528,1552,1554,1562,1566,1584,1592,1606,1607,1608,1609,
1678,1680,1682,1684,1685,1914,2097,2103,2128,2147,2304,2305,2330,2345,2428,
2429,2430,2438,2439,2770,2799,2811,2850,3106,3317,3328,3336,3798],[1,2,4,5,6,7
,8,9,10,12,13,19,22,23,25,28,29,32,35,38,39,40,44,50,65,73,75,76,77,103,107,
108,110,118,121,124,125,126,140,143,146,153,155,156,159,173,174,180,188,189,
195,201,204,206,208,247,249,281,331,339,350,351,366,369,375,376,377,379,386,
387,393,405,446,452,464,470,484,485,497,498,505,528,551,556,561,569,574,593,
595,607,609,631,810,848,849,852,865,869,870,871,904,906,911,915,918,919,924,
958,961,1080,1118,1144,1168,1181,1297,1307,1319,1518,1529,1530,1531,1552,1554,
1564,1569,1593,1595,1606,1607,1608,1609,1678,1680,1682,1684,1685,1915,2099,
2109,2131,2149,2304,2305,2332,2347,2428,2429,2430,2438,2439,2775,2800,2812,
2852,3106,3319,3329,3337,3799],[1,2,4,5,6,7,8,9,10,12,13,19,22,23,25,28,29,32,
35,38,39,40,44,50,65,73,75,76,77,103,107,108,110,118,121,124,125,126,141,142,
145,153,155,156,159,173,174,180,188,189,195,201,204,206,208,247,249,281,331,
339,350,351,366,369,375,376,377,379,386,387,393,405,447,457,467,471,484,485,
497,498,507,528,551,556,561,569,574,593,595,607,609,631,810,848,849,852,861,
862,864,867,904,906,911,915,918,919,924,958,961,1098,1119,1142,1168,1181,1297,
1307,1319,1522,1523,1524,1527,1552,1554,1577,1578,1601,1602,1606,1607,1608,
1609,1678,1680,1682,1684,1685,1918,2099,2106,2131,2149,2304,2305,2346,2349,
2428,2429,2430,2438,2439,2772,2802,2813,2852,3106,3318,3330,3338,3800],[1,2,4,
5,6,8,9,10,12,13,19,20,23,25,28,29,31,32,35,40,41,42,43,44,46,50,65,71,75,77,
81,87,93,103,107,110,118,120,121,153,154,156,158,160,161,162,163,164,168,172,
173,174,177,178,179,180,188,189,190,200,201,202,205,209,210,221,247,248,249,
262,267,288,366,369,380,381,383,386,388,389,390,405,407,408,409,478,480,481,
482,493,522,525,528,551,557,559,560,562,570,575,578,580,592,604,612,615,620,
629,703,849,852,876,877,880,881,882,895,911,913,914,916,918,919,929,931,932,
936,938,942,944,945,946,951,952,954,962,1126,1160,1188,1200,1211,1221,1257,
1260,1293,1294,1296,1318,1537,1539,1542,1552,1608,1609,1614,1618,1626,1627,
1628,1653,1659,1660,1661,1663,1669,1673,1675,1679,1701,1710,1985,2085,2086,
2088,2092,2117,2119,2120,2121,2137,2139,2147,2148,2354,2364,2365,2369,2378,
2383,2439,2464,2765,2766,2777,2798,2806,2809,2810,2823,2833,2835,2837,2855,
3099,3306,3334,3341,3342,3344,3356,3357,3801],[1,2,3,4,5,6,8,9,10,12,13,15,16,
17,21,22,23,25,28,29,30,31,32,33,34,35,37,40,41,42,43,44,45,50,51,52,55,68,70,
73,74,77,79,91,101,103,110,118,120,121,153,154,155,156,159,160,162,165,166,168
,170,172,173,174,175,176,181,182,183,184,185,186,187,188,189,191,193,199,201,
202,206,208,232,244,245,247,258,264,284,366,367,369,372,380,381,382,383,384,
385,386,387,390,391,392,405,407,408,474,476,479,485,490,521,522,526,528,529,
532,536,544,546,549,551,552,553,554,555,558,569,574,576,586,597,612,615,619,
629,701,849,852,876,877,878,879,883,884,886,887,888,894,905,911,913,914,915,
918,919,921,922,930,933,934,937,938,939,940,941,942,943,944,945,953,955,961,
1127,1134,1156,1188,1196,1209,1225,1259,1261,1293,1294,1295,1296,1300,1317,
1538,1539,1541,1552,1553,1608,1609,1613,1617,1620,1630,1632,1633,1636,1637,
1638,1648,1658,1664,1665,1668,1669,1670,1671,1672,1673,1678,1699,1708,1984,
2085,2087,2090,2091,2095,2116,2118,2120,2121,2122,2123,2136,2141,2147,2148,
2355,2356,2362,2363,2370,2379,2382,2439,2465,2767,2768,2769,2777,2778,2797,
2808,2809,2810,2822,2832,2834,2836,2856,3096,3307,3333,3341,3343,3345,3354,
3355,3802],[1,2,3,4,5,6,8,10,12,13,15,16,17,19,22,23,25,28,29,30,31,32,33,34,
35,37,40,41,42,43,44,45,55,65,74,79,80,81,101,103,106,107,108,109,118,120,121,
160,165,168,170,172,173,174,175,176,179,180,184,185,186,187,189,191,199,200,
201,202,203,204,205,206,208,209,210,244,249,287,332,338,347,350,366,367,369,
372,380,381,382,383,384,385,386,390,391,392,405,407,408,532,549,557,583,586,
589,590,591,592,593,595,596,597,598,599,600,612,613,617,619,620,621,623,629,
812,848,849,852,876,877,878,879,880,881,883,886,887,888,918,922,933,934,938,
939,945,951,952,953,954,955,958,959,960,961,962,1194,1235,1238,1243,1245,1253,
1260,1261,1293,1294,1295,1296,1300,1535,1536,1537,1538,1607,1608,1613,1614,
1615,1620,1628,1630,1680,1681,1699,1700,1701,1702,1703,1704,1705,1706,1707,
2025,2086,2087,2090,2091,2092,2097,2098,2101,2118,2119,2120,2123,2148,2358,
2362,2364,2384,2428,2435,2436,2437,2758,2759,2760,2761,2765,2767,2795,2796,
2806,2807,2808,2810,2820,3105,3323,3324,3331,3355,3357,3361,3365,3803],[1,2,3,
4,5,7,8,9,15,16,24,25,34,37,41,43,52,105,111,116,117,119,125,127,139,142,154,
191,193,207,333,353,357,368,371,402,406,502,558,625,633,842,850,851,860,872,
912,917,920,1141,1298,1551,1599,1610,1611,1695,1696,2045,2100,2102,2306,2440,
2441,2771,2869,3109,3320,3804],[1,2,3,4,5,6,8,10,13,16,19,21,23,25,28,29,30,32
,33,35,37,38,40,41,43,44,45,51,65,68,79,91,92,103,107,118,120,121,155,159,160,
166,168,173,175,179,180,181,182,183,185,189,193,194,195,200,202,205,209,210,
219,239,249,264,268,366,369,372,378,379,381,382,383,386,387,390,391,392,405,
407,408,486,487,490,521,536,544,554,556,557,561,582,592,598,603,605,610,612,
620,629,697,849,852,876,878,880,881,884,887,894,903,905,906,915,918,921,924,
925,926,930,937,938,940,941,943,945,951,952,954,962,1125,1163,1196,1228,1250,
1260,1293,1294,1296,1300,1305,1317,1538,1540,1541,1554,1606,1608,1614,1617,
1628,1629,1632,1634,1637,1650,1651,1652,1655,1666,1672,1683,1701,1711,1974,
2086,2090,2092,2095,2098,2110,2116,2119,2120,2122,2127,2128,2136,2141,2148,
2352,2360,2364,2374,2377,2379,2438,2442,2760,2763,2765,2768,2787,2791,2806,
2810,2816,2819,2821,2822,2836,2854,3097,3321,3343,3351,3357,3359,3364,3367,
3805],[1,2,3,4,5,6,8,10,12,13,15,16,17,19,20,22,23,25,28,29,30,31,32,33,34,35,
37,38,40,41,42,43,44,45,46,55,56,62,65,71,74,76,81,92,93,101,103,107,118,120,
121,155,158,159,160,161,162,163,164,165,168,169,170,172,173,174,175,176,177,
178,179,180,184,185,186,187,188,189,190,191,192,194,195,197,199,202,205,206,
208,231,241,244,249,267,272,282,366,367,369,372,378,379,380,381,382,383,384,
385,386,387,388,389,390,391,392,405,407,408,409,479,483,493,525,527,532,533,
534,535,537,547,548,549,550,556,557,559,560,561,562,564,576,586,597,599,605,
607,609,612,619,620,629,702,849,852,877,878,879,880,881,882,883,884,885,886,
887,888,889,890,891,892,893,895,903,906,915,916,918,919,922,923,924,925,926,
927,929,930,931,932,933,934,935,936,937,938,939,942,944,945,946,947,953,955,
961,1133,1135,1167,1200,1230,1248,1254,1260,1261,1293,1294,1295,1296,1300,1305
,1317,1318,1537,1540,1542,1554,1555,1606,1608,1613,1618,1619,1620,1621,1622,
1623,1624,1625,1626,1627,1629,1630,1631,1634,1639,1648,1654,1656,1665,1674,
1675,1676,1682,1699,1708,1977,2087,2088,2090,2091,2092,2098,2110,2116,2117,
2118,2120,2121,2123,2127,2128,2129,2130,2137,2138,2139,2140,2148,2353,2357,
2361,2362,2373,2378,2381,2438,2444,2761,2763,2766,2767,2788,2789,2790,2808,
2810,2816,2817,2818,2821,2823,2824,2837,2856,3098,3322,3342,3353,3355,3360,
3364,3366,3806],[1,2,3,4,5,6,8,10,12,13,15,16,17,19,20,22,23,28,29,30,31,32,33
,34,35,37,38,40,41,42,43,44,45,46,51,55,56,62,65,71,74,77,79,80,81,108,110,118
,120,121,155,158,159,160,161,162,163,164,165,168,169,170,172,173,174,175,176,
177,178,179,180,184,185,186,187,189,190,191,192,194,195,197,201,205,206,219,
231,280,284,287,288,339,366,367,369,372,378,379,380,381,382,383,384,385,386,
387,388,389,390,391,392,405,407,408,409,476,478,482,485,521,525,527,532,533,
534,535,536,537,547,548,549,550,556,557,560,561,562,564,571,576,585,593,597,
598,599,600,615,621,629,765,848,849,876,877,878,879,880,881,882,883,884,885,
886,887,888,889,890,891,892,893,903,906,915,916,918,922,923,924,925,926,927,
929,930,931,932,933,934,935,936,937,938,939,945,946,947,1125,1133,1135,1148,
1152,1153,1169,1209,1211,1224,1241,1253,1293,1294,1295,1296,1300,1305,1317,
1318,1535,1536,1537,1538,1539,1554,1555,1607,1609,1617,1618,1619,1620,1621,
1622,1623,1624,1625,1628,1629,1630,1631,1634,1639,1672,1674,1675,1676,2002,
2086,2087,2090,2091,2092,2097,2098,2110,2116,2117,2120,2123,2127,2128,2129,
2130,2136,2137,2138,2139,2140,2141,2147,2305,2352,2353,2357,2376,2382,2383,
2384,2758,2759,2760,2761,2765,2767,2787,2788,2789,2790,2791,2809,2816,2817,
2820,2822,2823,2824,2832,2833,2834,2835,2840,2841,2850,2851,3025,3321,3322,
3344,3345,3361,3362,3363,3384,3385,3386,3387,3807],[1,2,3,4,6,8,15,17,19,20,24
,25,31,34,35,37,38,42,43,44,45,46,56,88,93,96,99,105,116,119,120,164,165,177,
178,186,191,192,194,195,197,277,344,357,358,361,368,371,378,385,389,392,403,
406,407,548,564,565,634,844,850,851,890,893,902,907,917,925,932,934,948,1275,
1282,1309,1310,1311,1316,1330,1543,1544,1556,1559,1610,1623,1635,1695,2070,
2125,2154,2155,2157,2158,2367,2385,2441,2458,2459,2751,2867,3111,3370,3389,
3808],[1,2,3,4,6,8,15,23,24,25,34,37,42,43,44,45,96,99,105,106,117,119,120,165
,191,200,203,204,210,344,349,353,368,371,385,392,406,407,565,596,617,634,840,
850,851,917,934,952,956,959,1282,1309,1310,1311,1556,1559,1610,1616,1696,1707,
2075,2124,2153,2154,2359,2367,2440,2751,2868,3113,3370,3809],[1,2,5,6,9,26,27,
28,40,118,130,136,139,141,153,215,216,217,381,420,627,650,660,663,857,1038,
1291,1343,1356,1358,1360,1712,1814,2469,2567,2573,3115,3810],[1,2,3,4,5,9,11,
12,13,14,15,16,17,18,21,26,28,30,32,40,41,50,52,54,55,57,58,59,60,61,64,67,68,
69,70,130,131,132,135,136,139,153,157,160,162,169,170,171,173,174,175,176,181,
218,222,223,224,225,226,229,232,233,234,420,421,422,424,425,426,427,428,429,
430,431,432,500,502,522,524,528,529,531,532,533,539,543,544,545,546,667,669,
670,969,970,971,972,973,974,975,977,978,979,980,981,1039,1042,1047,1051,1067,
1127,1128,1129,1130,1343,1387,1716,1717,1718,1719,1720,1841,1844,1871,2178,
2179,2471,2594,2873,2874,2876,2878,3402,3403,3811],[1,2,3,4,5,9,10,12,13,14,15
,16,17,19,20,22,23,26,28,30,32,40,41,50,51,52,53,54,55,56,62,63,64,65,71,73,74
,75,76,77,79,80,81,101,108,109,110,130,131,132,135,136,139,155,158,160,168,169
,170,171,173,179,180,219,221,227,228,229,230,231,258,280,281,282,283,284,285,
286,287,288,289,290,332,339,340,414,416,422,423,425,426,427,429,433,445,449,
500,502,521,523,536,537,538,539,540,541,556,557,665,668,734,743,763,764,765,
766,767,968,981,982,983,984,987,988,989,997,1041,1047,1066,1069,1071,1072,1078
,1122,1123,1124,1125,1343,1414,1715,1753,1754,1755,1840,1870,1875,1876,1877,
2166,2168,2178,2179,2473,2609,2876,2877,2883,2884,2885,2888,3401,3418,3419,
3420,3812],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,19,20,21,22,23,26,28,30,32,40,
41,50,51,52,53,54,55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,
87,92,101,106,107,108,109,110,130,131,132,135,136,139,153,155,158,160,161,162,
168,169,170,171,173,174,175,176,179,180,190,218,221,228,229,230,231,232,233,
234,258,261,262,263,268,269,270,271,272,275,278,279,281,283,284,285,286,287,
290,331,337,338,340,414,416,420,422,424,425,426,427,428,429,430,431,445,449,
500,502,522,523,525,528,529,530,531,532,533,534,535,536,537,538,539,541,557,
559,560,667,668,737,742,757,758,759,760,761,762,767,969,971,977,978,979,980,
981,987,988,989,993,994,997,1039,1047,1051,1068,1069,1071,1072,1078,1083,1089,
1123,1126,1130,1131,1132,1133,1343,1417,1719,1752,1755,1759,1761,1841,1872,
1874,1877,1888,1889,2166,2168,2178,2179,2474,2610,2873,2876,2878,2883,2884,
2885,2887,2888,2889,3402,3417,3419,3421,3422,3813],[1,2,4,6,10,11,12,13,19,23,
24,27,35,42,44,49,51,57,65,77,78,82,87,96,100,102,107,134,140,144,163,188,200,
219,239,240,257,259,263,316,452,481,501,503,505,565,671,689,718,1050,1079,1116
,1345,1389,1730,1832,1854,2480,2629,3814],[1,2,3,4,5,9,11,12,13,14,15,16,17,21
,22,23,24,25,26,28,30,32,40,41,50,52,54,55,57,64,67,68,69,70,100,101,103,104,
105,106,107,108,109,110,111,112,130,131,132,135,136,139,153,160,162,169,170,
171,173,174,175,176,199,201,205,206,218,229,232,233,234,237,243,244,247,251,
331,333,334,335,336,337,338,340,415,417,420,422,424,425,426,427,428,429,430,
431,500,502,522,528,529,531,532,533,539,583,584,585,586,589,613,616,620,621,
667,735,737,788,791,792,794,969,971,977,978,979,980,981,986,990,991,992,995,
996,1039,1047,1051,1115,1117,1130,1137,1183,1237,1238,1239,1240,1343,1419,1719
,1756,1757,1758,1760,1841,1932,1970,1971,2178,2179,2475,2614,2873,2876,2878,
2880,2881,3402,3437,3438,3815],[1,2,3,4,5,9,12,13,14,15,16,17,22,23,24,25,26,
28,30,32,40,41,50,52,54,55,64,100,101,103,104,105,108,109,110,111,112,130,131,
132,135,136,139,160,169,170,171,173,199,201,202,205,206,207,229,237,243,244,
247,333,334,335,336,340,346,348,350,415,417,422,425,426,427,429,435,437,500,
502,539,583,584,585,586,587,588,612,613,618,621,735,738,740,777,788,981,986,
990,991,992,999,1002,1009,1010,1047,1115,1117,1141,1191,1194,1234,1236,1240,
1343,1474,1737,1760,1786,1908,1970,2012,2178,2179,2505,2636,2876,2880,2881,
2901,3414,3437,3816],[1,2,3,4,5,9,10,12,13,14,15,16,17,19,20,23,25,26,28,30,32
,40,41,50,51,52,53,54,55,56,62,63,64,65,71,103,106,107,110,111,112,130,131,132
,135,136,139,155,160,169,170,171,173,180,201,205,221,228,229,230,231,239,246,
247,251,252,253,334,337,417,422,423,425,426,427,429,433,500,502,521,538,539,
540,556,585,589,616,620,668,785,790,794,795,968,981,982,983,984,990,995,996,
1041,1047,1117,1122,1185,1228,1237,1262,1343,1490,1715,1728,1757,1840,1960,
1971,2178,2179,2484,2649,2876,2877,2881,3401,3438,3817],[1,2,3,4,5,9,12,13,14,
15,16,17,19,20,23,24,25,26,28,30,32,40,41,50,52,53,54,55,56,63,64,71,75,81,87,
88,92,93,100,103,104,105,106,107,110,111,112,130,131,132,135,136,139,158,160,
161,162,169,170,171,173,174,176,179,180,190,202,207,229,230,253,260,262,267,
269,271,272,275,276,277,286,333,334,335,336,337,349,416,422,425,426,427,429,
435,437,449,493,500,502,525,530,531,534,535,539,541,559,560,579,587,588,608,
612,618,735,739,755,760,795,807,808,981,989,993,994,999,1002,1009,1010,1047,
1072,1083,1089,1132,1141,1171,1177,1200,1218,1236,1246,1343,1466,1737,1759,
1785,1888,1908,1940,1994,2168,2178,2179,2504,2646,2876,2885,2887,2889,2901,
3414,3421,3441,3818],[1,2,3,4,5,9,10,12,13,14,15,16,17,19,20,22,23,26,28,30,32
,40,41,50,51,52,53,54,55,56,62,63,64,65,71,73,74,75,76,77,79,80,81,87,92,101,
106,107,108,109,110,130,131,132,135,136,139,155,158,160,161,162,168,169,170,
171,173,174,176,179,180,190,201,206,228,229,230,239,241,246,248,258,262,269,
271,272,275,280,281,282,283,284,285,286,287,288,289,290,331,337,338,340,347,
351,414,416,422,425,426,427,429,436,438,445,449,477,478,482,485,500,502,523,
525,530,531,534,535,536,537,538,539,541,557,559,560,572,576,584,593,597,607,
615,619,737,741,760,766,767,785,786,799,801,803,805,981,987,988,989,993,994,
997,1000,1003,1011,1012,1047,1069,1071,1072,1078,1083,1089,1123,1132,1139,1150
,1154,1155,1169,1210,1211,1222,1242,1254,1343,1467,1739,1755,1759,1781,1784,
1877,1888,1910,1934,1939,2006,2166,2168,2178,2179,2506,2647,2876,2883,2884,
2885,2887,2888,2889,2902,3415,3419,3421,3439,3440,3819],[1,2,3,4,5,9,10,11,12,
13,14,15,16,17,18,19,20,21,24,25,26,28,30,32,40,41,50,51,52,53,54,55,56,57,58,
59,60,61,62,63,64,65,67,68,69,70,71,82,89,90,91,94,95,100,103,104,105,111,112,
130,131,132,135,136,139,155,157,160,162,169,170,171,173,175,176,180,181,202,
207,221,222,223,225,226,228,229,230,231,232,233,257,264,265,266,273,274,291,
292,293,294,295,296,297,298,299,333,334,335,336,421,422,423,424,425,426,427,
429,430,431,432,433,435,437,490,492,500,502,521,524,533,538,539,540,543,544,
545,546,556,577,587,588,606,612,618,668,669,735,750,751,752,753,754,756,968,
970,972,973,974,975,978,981,982,983,984,999,1002,1008,1009,1010,1018,1023,1024
,1041,1042,1047,1051,1122,1129,1141,1179,1180,1196,1197,1217,1236,1247,1343,
1415,1715,1717,1731,1734,1737,1740,1741,1779,1780,1840,1844,1908,1956,1993,
2178,2179,2490,2638,2874,2876,2877,2878,2901,3401,3403,3414,3435,3820],[1,2,3,
4,5,9,10,11,12,13,14,15,16,17,19,20,21,22,23,26,28,30,32,40,41,50,51,52,53,54,
55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,87,92,101,106,107,
108,109,110,130,131,132,135,136,139,153,155,160,162,169,170,171,173,174,175,
176,180,201,206,218,221,228,229,230,231,232,233,234,258,261,262,263,268,269,
270,271,272,275,278,279,281,283,284,285,286,287,290,331,337,338,340,420,422,
423,424,425,426,427,428,429,430,431,433,436,438,476,478,484,485,500,502,521,
522,528,529,531,532,533,538,539,540,556,569,576,584,593,600,607,615,619,667,
668,737,742,757,758,759,760,761,762,767,968,969,971,977,978,979,980,981,982,
983,984,1000,1003,1006,1007,1011,1012,1016,1017,1019,1020,1021,1022,1039,1041,
1047,1051,1122,1130,1139,1146,1152,1154,1168,1209,1213,1225,1242,1252,1343,
1417,1715,1719,1732,1735,1739,1742,1743,1775,1776,1777,1778,1840,1841,1910,
1948,1955,2008,2178,2179,2491,2640,2873,2876,2877,2878,2902,3401,3402,3415,
3433,3434,3821],[1,2,3,4,5,9,11,12,13,14,15,16,17,18,21,24,25,26,28,30,32,40,
41,49,50,52,54,55,57,58,59,60,61,64,66,67,68,69,70,72,78,82,83,84,85,86,89,90,
91,94,95,102,105,111,113,114,115,130,131,132,135,136,139,157,160,162,169,170,
171,173,175,176,181,202,207,220,222,223,225,226,229,232,233,235,259,274,296,
297,298,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,333,
341,342,343,421,422,424,425,426,427,429,430,431,432,435,437,490,492,495,500,
502,520,524,533,539,542,543,544,545,546,573,577,587,594,601,606,614,622,666,
669,736,744,745,746,747,748,749,753,768,967,970,972,973,974,975,976,978,981,
1001,1004,1005,1008,1009,1013,1015,1018,1023,1024,1025,1042,1047,1051,1121,
1129,1141,1157,1158,1159,1180,1204,1205,1226,1244,1255,1343,1416,1714,1717,
1733,1736,1738,1744,1745,1772,1773,1774,1780,1838,1844,1909,1949,1956,2010,
2178,2179,2492,2639,2874,2876,2878,2901,3400,3403,3416,3432,3435,3822],[1,2,3,
4,5,9,11,12,13,14,15,16,17,18,21,22,23,26,28,30,32,40,41,50,52,54,55,57,58,59,
60,61,64,67,68,69,70,101,106,107,108,109,110,130,131,132,135,136,139,157,160,
162,169,170,171,173,175,176,181,201,206,222,223,225,226,229,232,233,236,242,
245,250,331,337,338,340,421,422,424,425,426,427,429,430,431,432,436,438,500,
502,524,533,539,543,544,545,546,584,593,615,619,669,737,784,789,793,970,972,
973,974,975,978,981,1000,1003,1011,1012,1042,1047,1051,1129,1139,1186,1231,
1242,1259,1343,1418,1717,1739,1746,1749,1765,1844,1910,1961,2178,2179,2501,
2642,2874,2876,2878,2902,3403,3415,3823],[1,2,3,4,5,9,11,12,13,14,15,16,17,21,
22,23,24,25,26,28,30,32,40,41,50,52,54,55,57,64,67,68,69,70,100,101,103,104,
105,106,107,108,109,110,111,112,130,131,132,135,136,139,153,160,162,169,170,
171,173,174,175,176,201,202,206,207,218,229,232,233,234,237,243,244,247,251,
331,333,334,335,336,337,338,340,420,422,424,425,426,427,428,429,430,431,435,
436,437,438,500,502,522,528,529,531,532,533,539,584,587,588,593,612,615,618,
619,667,735,737,788,791,792,794,969,971,977,978,979,980,981,999,1000,1002,1003
,1009,1010,1011,1012,1039,1047,1051,1130,1139,1141,1188,1232,1236,1242,1258,
1261,1343,1419,1719,1737,1739,1747,1750,1763,1764,1841,1908,1910,1962,2178,
2179,2502,2643,2873,2876,2878,2901,2902,3402,3414,3415,3824],[1,2,3,4,5,9,11,
12,13,14,15,16,17,18,21,24,25,26,28,30,32,40,41,50,52,54,55,57,58,59,60,61,64,
67,68,69,70,102,105,111,113,114,115,130,131,132,135,136,139,157,160,162,169,
170,171,173,175,176,181,202,207,222,223,225,226,229,232,233,238,254,255,256,
333,341,342,343,421,422,424,425,426,427,429,430,431,432,435,437,500,502,524,
533,539,543,544,545,546,587,594,614,622,669,736,796,797,798,970,972,973,974,
975,978,981,1001,1004,1009,1013,1042,1047,1051,1129,1141,1190,1233,1244,1265,
1343,1420,1717,1738,1748,1751,1766,1844,1909,1965,2178,2179,2503,2644,2874,
2876,2878,2901,3403,3416,3825],[1,2,3,4,5,9,11,12,13,14,15,16,17,21,22,23,24,
25,26,40,41,50,52,54,55,57,64,67,68,69,70,100,101,103,104,105,106,107,108,109,
110,111,112,130,131,132,135,136,139,153,160,162,199,201,215,218,229,232,233,
234,237,243,244,247,251,331,333,334,335,336,337,338,340,414,415,416,417,420,
421,422,424,425,426,427,428,429,430,431,432,500,502,522,613,616,650,652,663,
667,735,737,788,791,792,794,969,970,971,972,973,974,975,977,978,979,980,981,
986,987,988,989,990,991,992,993,994,995,996,997,1039,1047,1051,1115,1117,1183,
1351,1353,1356,1360,1378,1379,1419,1716,1717,1718,1719,1720,1721,1722,1723,
1724,1727,1752,1755,1756,1757,1758,1759,1760,1761,1841,1970,1971,2185,2186,
2192,2195,2219,2220,2471,2474,2475,2485,2486,2487,2489,2614,2895,2896,2899,
2904,2905,2917,3127,3425,3444,3445,3826],[1,2,3,4,6,9,11,12,13,14,15,16,17,21,
24,25,26,31,33,44,49,50,52,54,55,57,64,66,67,68,69,70,78,82,85,86,89,90,91,102
,105,113,114,130,131,132,135,136,141,144,184,216,218,220,229,232,233,234,238,
254,255,259,274,300,301,302,303,304,305,343,420,421,422,424,425,426,427,428,
429,430,431,432,435,437,451,459,507,510,651,655,659,667,687,691,692,693,768,
796,967,969,970,971,972,973,974,975,976,977,978,979,980,981,1001,1004,1005,
1008,1009,1013,1015,1018,1023,1024,1025,1058,1093,1358,1359,1367,1427,1714,
1716,1717,1718,1719,1720,1733,1736,1738,1744,1745,1748,1751,1766,1772,1773,
1774,1780,1817,1819,1902,2189,2191,2200,2205,2471,2476,2478,2492,2495,2498,
2503,2617,2900,2925,3128,3426,3428,3430,3827],[1,2,3,4,6,9,10,11,12,13,14,15,
16,17,19,21,22,23,24,25,26,29,35,44,50,51,52,54,55,57,62,63,64,65,67,68,69,70,
73,74,75,76,77,79,80,81,82,89,90,91,100,101,103,104,105,108,109,110,130,131,
132,135,136,141,144,189,216,218,228,229,232,233,234,236,237,242,243,244,245,
247,257,258,264,265,266,273,274,281,283,284,285,286,287,290,336,340,420,421,
422,423,424,425,426,427,428,429,430,431,432,433,435,436,437,438,447,450,457,
460,507,510,651,658,661,667,688,694,695,696,700,701,756,767,784,788,968,969,
970,971,972,973,974,975,977,978,979,980,981,982,983,984,999,1000,1002,1003,
1006,1007,1008,1009,1010,1011,1012,1016,1017,1018,1019,1020,1021,1022,1023,
1024,1058,1090,1098,1358,1359,1371,1432,1715,1716,1717,1718,1719,1720,1731,
1732,1734,1735,1737,1739,1740,1741,1742,1743,1746,1747,1749,1750,1763,1764,
1765,1775,1776,1777,1778,1779,1780,1818,1824,1902,2189,2191,2199,2201,2206,
2207,2471,2477,2479,2490,2491,2493,2494,2496,2497,2501,2502,2623,2900,2924,
2928,3129,3427,3429,3430,3828],[1,2,3,4,5,9,11,12,13,14,15,16,17,18,21,24,25,
26,28,30,32,40,41,50,52,54,55,60,64,67,78,82,83,84,85,86,89,90,91,94,95,96,97,
98,99,100,102,103,104,105,111,112,113,114,115,130,131,132,135,136,139,157,160,
169,170,171,173,181,202,207,222,229,274,296,297,298,301,306,311,316,317,318,
319,320,321,322,323,324,325,326,327,328,329,330,333,334,335,336,341,342,343,
344,345,421,422,425,426,427,429,432,435,437,490,492,495,500,502,539,543,573,
577,587,588,594,601,606,611,612,614,618,622,624,733,735,736,744,753,829,830,
831,832,833,834,972,981,985,999,1001,1002,1004,1005,1008,1009,1010,1013,1014,
1015,1018,1023,1024,1025,1042,1047,1136,1141,1157,1180,1236,1244,1267,1268,
1269,1271,1273,1274,1343,1434,1729,1737,1738,1762,1767,1768,1769,1770,1771,
1772,1780,1901,1908,1909,1949,1956,2039,2178,2179,2518,2709,2874,2876,2901,
3413,3414,3416,3432,3435,3829],[1,2,3,4,5,9,10,12,13,14,15,16,17,19,22,23,24,
25,26,28,30,32,40,41,50,51,52,54,55,62,63,64,65,73,74,75,76,77,79,80,81,100,
101,103,104,105,106,107,108,109,110,111,112,130,131,132,135,136,139,155,158,
160,168,169,170,171,173,179,180,201,202,205,207,228,229,240,247,249,251,252,
258,281,283,284,285,286,287,290,333,334,335,336,337,340,414,416,417,422,425,
426,427,429,435,437,445,449,500,502,523,536,537,538,539,541,557,585,587,588,
589,612,616,618,620,735,767,776,777,787,790,794,981,987,988,989,990,995,996,
997,999,1002,1009,1010,1047,1069,1071,1072,1078,1117,1123,1141,1187,1229,1236,
1237,1260,1264,1343,1478,1737,1755,1757,1877,1908,1963,1971,2166,2168,2178,
2179,2511,2677,2876,2881,2883,2884,2885,2888,2901,3414,3419,3438,3830],[1,2,3,
4,5,9,12,13,14,15,16,17,19,20,22,23,25,26,28,30,32,40,41,50,52,53,54,55,56,63,
64,71,75,81,87,92,101,103,106,107,108,109,110,111,112,130,131,132,135,136,139,
158,160,161,162,169,170,171,173,174,176,179,180,190,201,205,206,229,230,241,
247,248,251,253,262,269,271,272,275,286,331,334,337,338,340,416,417,422,425,
426,427,429,436,438,449,500,502,525,530,531,534,535,539,541,559,560,584,585,
589,593,615,616,619,620,737,760,775,776,786,794,795,981,989,990,993,994,995,
996,1000,1003,1011,1012,1047,1072,1083,1089,1117,1132,1139,1189,1230,1237,1242
,1257,1263,1343,1479,1739,1757,1759,1888,1910,1964,1971,2168,2178,2179,2512,
2678,2876,2881,2885,2887,2889,2902,3415,3421,3438,3831],[1,2,3,4,6,10,11,12,13
,14,15,16,17,19,21,24,25,26,42,44,45,49,51,55,57,62,63,64,65,66,67,68,69,70,78
,82,85,86,89,90,91,96,99,100,102,103,104,105,113,114,130,131,132,135,136,140,
144,165,216,220,228,233,257,259,264,265,266,273,274,300,301,302,303,304,305,
316,326,327,328,329,330,336,343,344,421,422,423,424,425,426,427,429,430,431,
432,433,435,437,501,503,504,505,509,510,565,651,653,664,671,684,685,686,756,
768,829,967,968,970,972,973,974,975,976,978,981,982,983,984,985,999,1001,1002,
1004,1005,1008,1009,1010,1013,1014,1015,1018,1023,1024,1025,1049,1055,1282,
1357,1359,1380,1408,1714,1715,1717,1729,1731,1733,1734,1736,1737,1738,1740,
1741,1744,1745,1762,1767,1768,1769,1770,1771,1772,1773,1774,1779,1780,1832,
2187,2188,2190,2191,2193,2194,2228,2472,2490,2492,2508,2509,2517,2518,2645,
2906,2907,2940,3124,3431,3832],[1,2,3,4,5,9,11,12,13,14,15,16,17,19,20,21,23,
25,26,28,30,32,40,41,50,52,53,54,55,56,57,63,64,67,68,69,70,71,75,81,87,89,92,
94,95,103,106,107,110,111,112,130,131,132,135,136,139,153,158,160,161,162,169,
170,171,173,174,175,176,179,180,190,201,205,218,229,230,232,233,234,242,247,
250,251,262,265,269,271,272,275,286,295,296,299,334,337,416,417,420,422,424,
425,426,427,428,429,430,431,449,477,484,491,494,500,502,522,525,528,529,530,
531,532,533,534,535,539,541,559,560,570,578,585,589,599,605,616,620,667,695,
707,710,752,760,789,794,969,971,977,978,979,980,981,989,990,993,994,995,996,
1039,1047,1051,1072,1083,1089,1117,1130,1132,1151,1173,1175,1176,1201,1208,
1221,1237,1248,1343,1424,1719,1722,1727,1757,1759,1841,1855,1865,1888,1971,
1996,2168,2178,2179,2487,2691,2873,2876,2878,2881,2885,2887,2889,3402,3405,
3410,3421,3438,3833],[1,2,3,4,5,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25
,26,28,30,32,40,41,50,52,53,54,55,56,57,58,59,60,61,63,64,67,68,69,70,71,75,76
,80,81,87,90,92,94,95,100,101,103,104,105,106,107,108,109,110,130,131,132,135,
136,139,157,158,160,161,162,169,170,171,173,174,175,176,179,180,181,190,199,
201,205,206,222,223,225,226,229,230,232,233,237,243,244,245,247,250,251,261,
262,266,269,270,271,272,275,278,285,286,291,292,295,298,336,337,340,415,416,
417,421,422,424,425,426,427,429,430,431,432,449,475,483,491,494,500,502,524,
525,530,531,533,534,535,539,541,543,544,545,546,559,560,572,578,583,584,585,
586,600,605,613,621,669,700,709,710,711,750,758,760,788,791,793,970,972,973,
974,975,978,981,986,989,990,991,992,993,994,1042,1047,1051,1072,1083,1089,1115
,1117,1129,1132,1147,1170,1174,1176,1198,1207,1220,1240,1249,1343,1425,1717,
1724,1727,1759,1760,1844,1856,1865,1888,1970,1998,2168,2178,2179,2486,2689,
2874,2876,2878,2880,2881,2885,2887,2889,3403,3407,3410,3421,3437,3834],[1,2,3,
4,5,9,10,11,12,13,14,15,16,17,18,19,21,22,23,25,26,28,30,32,40,41,50,51,52,54,
55,57,58,59,60,61,62,63,64,65,67,68,69,70,73,74,75,76,77,79,80,81,87,91,92,94,
95,101,103,106,107,108,109,110,111,112,130,131,132,135,136,139,155,157,158,160
,162,168,169,170,171,173,175,176,179,180,181,201,205,222,223,225,226,228,229,
232,233,244,245,247,250,251,258,263,264,268,271,279,281,283,284,285,286,287,
290,293,294,295,297,334,337,340,414,416,417,421,422,424,425,426,427,429,430,
431,432,445,449,476,482,491,494,500,502,523,524,533,536,537,538,539,541,543,
544,545,546,557,571,578,585,589,598,605,616,620,669,701,708,710,711,751,759,
767,792,793,794,970,972,973,974,975,978,981,987,988,989,990,995,996,997,1042,
1047,1051,1069,1071,1072,1078,1117,1123,1129,1148,1172,1176,1178,1199,1206,
1219,1237,1250,1343,1426,1717,1723,1727,1755,1757,1844,1857,1865,1877,1971,
1997,2166,2168,2178,2179,2485,2690,2874,2876,2878,2881,2883,2884,2885,2888,
3403,3406,3410,3419,3438,3835],[1,2,3,4,5,9,10,12,13,14,15,16,17,19,20,22,23,
24,25,26,28,30,32,40,41,50,51,52,53,54,55,56,62,63,64,65,71,74,75,76,77,81,87,
88,92,93,100,101,103,104,105,106,107,108,109,110,130,131,132,135,136,139,155,
158,160,161,162,169,170,171,173,174,176,179,180,190,199,201,205,206,221,228,
229,230,231,237,240,241,243,244,247,248,249,260,262,267,269,271,272,275,276,
277,280,282,286,288,289,290,336,337,340,415,416,417,422,423,425,426,427,429,
433,449,478,479,483,485,500,502,521,525,530,531,534,535,538,539,540,541,556,
559,560,571,576,583,584,585,586,599,607,613,621,668,690,702,703,704,755,760,
766,786,787,788,968,981,982,983,984,986,989,990,991,992,993,994,1041,1047,1072
,1083,1089,1115,1117,1122,1132,1149,1153,1154,1167,1203,1214,1224,1240,1251,
1343,1433,1715,1725,1726,1759,1760,1840,1852,1858,1888,1970,2003,2168,2178,
2179,2488,2687,2876,2877,2880,2881,2885,2887,2889,3401,3408,3411,3421,3437,
3836],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,19,21,22,23,24,25,26,28,30,32,40,41
,50,51,52,54,55,57,62,63,64,65,67,68,69,70,73,74,75,76,77,79,80,81,82,89,90,91
,100,101,103,104,105,108,109,110,130,131,132,135,136,139,153,155,158,160,162,
168,169,170,171,173,174,175,176,179,180,199,201,205,206,218,228,229,232,233,
234,236,237,242,243,244,245,247,257,258,264,265,266,273,274,281,283,284,285,
286,287,290,336,340,414,415,416,417,420,422,424,425,426,427,428,429,430,431,
445,449,474,475,476,477,479,482,483,484,500,502,522,523,528,529,531,532,533,
536,537,538,539,541,557,569,570,571,572,583,584,585,586,597,598,599,600,613,
621,667,688,694,695,696,700,701,756,767,784,788,969,971,977,978,979,980,981,
986,987,988,989,990,991,992,997,1039,1047,1051,1069,1071,1072,1078,1115,1117,
1123,1130,1145,1146,1147,1148,1149,1150,1151,1156,1202,1212,1223,1240,1253,
1343,1432,1719,1721,1722,1723,1724,1755,1760,1841,1851,1855,1856,1857,1877,
1970,2005,2166,2168,2178,2179,2489,2688,2873,2876,2878,2880,2881,2883,2884,
2885,2888,3402,3404,3405,3406,3407,3419,3437,3837],[1,2,3,4,5,9,12,13,14,15,16
,17,22,23,24,25,26,28,30,32,40,41,50,52,54,55,64,100,101,103,104,105,106,107,
108,109,110,111,112,130,131,132,135,136,139,160,169,170,171,173,199,201,205,
206,229,237,243,244,247,251,331,334,336,337,338,340,347,349,351,415,417,422,
425,426,427,429,436,438,500,502,539,583,584,585,586,589,593,613,615,616,619,
620,621,737,739,741,776,777,788,794,981,986,990,991,992,995,996,1000,1003,1011
,1012,1047,1115,1117,1139,1192,1193,1195,1235,1237,1240,1242,1343,1475,1739,
1757,1760,1910,1970,1971,2013,2178,2179,2510,2637,2876,2880,2881,2902,3415,
3437,3438,3838],[1,2,4,6,9,10,11,12,13,22,24,26,29,31,42,49,50,51,57,73,74,78,
82,96,100,101,102,135,136,140,144,172,216,218,236,237,238,257,258,259,316,420,
421,422,423,424,437,438,446,448,450,451,501,503,565,659,661,664,671,687,688,
716,717,967,968,969,970,985,1002,1003,1004,1005,1006,1007,1008,1070,1084,1357,
1359,1375,1388,1720,1731,1732,1733,1749,1750,1751,1769,1832,2193,2194,2196,
2198,2199,2200,2228,2472,2478,2479,2499,2500,2591,2909,2910,3138,3431,3839],[1
,2,3,4,5,9,12,13,14,15,16,17,24,25,26,28,30,32,40,41,50,52,54,55,64,100,103,
104,105,111,112,116,117,130,131,132,135,136,139,160,169,170,171,173,202,207,
229,333,334,335,336,352,353,354,355,356,357,422,425,426,427,429,435,437,500,
502,539,587,588,612,618,625,626,735,835,836,841,842,981,999,1002,1009,1010,
1026,1047,1141,1236,1270,1272,1283,1284,1343,1506,1737,1787,1788,1789,1908,
2045,2066,2178,2179,2523,2708,2876,2901,3414,3462,3840],[1,2,3,4,5,9,10,12,13,
14,15,16,17,19,22,23,24,25,26,28,30,32,40,41,50,51,52,54,55,62,63,64,65,73,74,
75,76,77,79,80,81,100,101,103,104,105,106,107,108,109,110,130,131,132,135,136,
139,155,158,160,168,169,170,171,173,179,180,199,201,205,206,228,229,237,240,
243,244,247,249,258,281,283,284,285,286,287,290,331,332,336,337,338,339,340,
346,347,350,351,414,415,416,417,422,425,426,427,429,436,438,445,449,500,502,
523,536,537,538,539,541,557,583,584,585,586,593,613,615,619,621,734,737,740,
741,767,787,788,809,810,811,812,981,986,987,988,989,990,991,992,997,1000,1003,
1011,1012,1047,1069,1071,1072,1078,1115,1117,1123,1138,1139,1184,1240,1241,
1242,1243,1343,1492,1739,1755,1760,1782,1783,1877,1910,1913,1914,1933,1970,
2166,2168,2178,2179,2507,2670,2876,2880,2881,2883,2884,2885,2888,2902,3415,
3419,3437,3447,3448,3841],[1,2,3,4,6,10,11,12,13,14,15,16,17,21,23,24,25,26,33
,35,42,49,51,54,55,57,69,70,77,78,79,82,86,89,96,100,102,110,113,131,132,135,
136,140,144,187,216,234,242,243,254,255,257,259,284,303,316,421,422,423,424,
426,427,428,430,431,432,435,436,437,452,453,459,460,501,503,565,655,658,664,
671,693,696,719,721,967,968,970,974,975,979,980,985,1000,1001,1002,1004,1005,
1008,1019,1021,1024,1025,1075,1094,1357,1359,1377,1392,1718,1731,1733,1743,
1745,1746,1748,1764,1766,1769,1832,2193,2194,2203,2204,2205,2206,2228,2472,
2482,2483,2493,2495,2592,2913,2914,3137,3431,3842],[1,2,3,4,5,10,11,12,13,14,
15,16,17,19,21,23,24,25,27,28,30,32,40,41,51,55,57,62,63,64,65,67,68,69,70,77,
79,82,87,89,90,91,92,100,103,104,105,106,107,110,133,134,137,155,157,158,160,
162,168,169,170,171,173,175,176,179,180,181,201,202,205,207,217,219,227,228,
233,239,240,246,249,257,263,264,265,266,268,271,273,274,279,284,336,337,434,
476,482,490,491,492,494,521,523,524,533,536,537,538,539,540,541,543,544,545,
546,556,557,571,577,578,585,587,588,589,598,605,606,612,616,618,620,654,657,
662,665,689,697,698,699,756,759,785,787,1066,1122,1123,1124,1125,1129,1148,
1172,1176,1178,1179,1180,1185,1187,1196,1197,1199,1206,1217,1219,1228,1229,
1236,1237,1247,1250,1260,1262,1264,1372,1431,1730,1870,1923,1927,1960,1963,
1974,1979,1987,1988,1993,1997,2480,2481,2521,2668,2916,3150,3463,3464,3465,
3843],[1,2,3,4,5,9,11,15,16,17,18,19,20,21,23,24,25,26,28,30,32,41,52,56,60,67
,75,78,83,84,85,86,88,92,93,105,106,111,116,117,130,131,135,139,157,161,169,
176,179,181,190,202,207,222,253,275,277,301,306,311,333,349,353,357,362,363,
364,365,416,421,425,432,435,437,449,493,495,502,534,543,573,579,587,601,608,
625,626,744,807,837,838,842,845,846,972,993,1005,1009,1015,1025,1026,1042,1089
,1141,1157,1171,1280,1281,1283,1287,1289,1343,1507,1772,1785,1787,1940,1949,
2045,2071,2168,2178,2531,2726,2874,2889,2901,3432,3441,3462,3844],[1,2,3,4,6,9
,10,11,12,13,16,21,22,24,25,26,29,33,45,50,51,57,66,68,73,74,82,85,86,91,99,
100,101,103,113,114,131,135,136,141,144,185,216,218,236,237,254,257,258,264,
300,304,328,329,420,421,422,423,424,430,432,435,437,438,447,450,459,509,653,
655,661,684,688,691,719,720,968,969,970,973,976,999,1001,1002,1003,1006,1007,
1008,1013,1014,1015,1023,1025,1058,1092,1358,1359,1369,1390,1720,1731,1732,
1741,1744,1748,1749,1750,1767,1771,1774,1818,1819,1846,2190,2199,2201,2205,
2476,2479,2482,2508,2515,2596,2900,2927,3141,3427,3428,3443,3845],[1,2,3,4,6,9
,11,12,13,14,17,19,21,23,24,25,26,31,35,45,49,50,57,63,66,69,75,78,81,82,86,89
,90,91,99,102,103,104,110,113,114,131,132,135,136,141,144,186,216,218,238,242,
247,254,259,265,273,286,300,303,305,326,329,330,420,421,422,424,426,431,432,
433,435,436,437,451,457,460,509,653,658,659,685,687,691,695,721,723,724,967,
969,970,974,976,982,999,1000,1001,1004,1005,1008,1010,1013,1014,1018,1020,1022
,1023,1024,1025,1058,1091,1358,1359,1368,1395,1720,1733,1740,1742,1744,1745,
1746,1747,1748,1751,1768,1770,1771,1773,1779,1817,1824,1846,2190,2200,2206,
2207,2476,2477,2478,2483,2509,2513,2514,2598,2900,2926,3142,3426,3429,3443,
3846],[1,2,3,4,5,9,10,12,13,15,16,17,19,20,21,22,23,25,26,28,30,32,40,41,50,51
,52,55,56,62,65,68,70,71,73,74,75,76,77,79,80,81,87,91,92,93,101,103,106,107,
108,109,110,130,131,132,135,136,139,155,158,160,161,162,168,169,170,173,174,
175,176,179,180,190,201,205,206,219,221,231,232,239,241,244,245,247,248,249,
258,262,264,267,268,270,272,275,278,279,280,281,282,283,284,287,288,331,332,
338,339,347,350,351,414,416,417,423,424,425,429,430,431,433,436,438,445,449,
476,478,482,485,500,502,521,525,532,533,534,535,536,537,556,557,560,571,576,
585,593,597,598,599,600,615,621,697,701,702,703,743,757,761,765,774,799,803,
804,806,810,812,978,984,987,988,990,993,994,997,1006,1011,1016,1019,1020,1041,
1051,1069,1071,1078,1083,1089,1117,1125,1133,1139,1148,1152,1153,1169,1209,
1211,1224,1241,1253,1343,1460,1723,1725,1753,1761,1777,1781,1783,1857,1858,
1875,1889,1914,1934,1955,2002,2166,2168,2178,2179,2525,2659,2877,2878,2881,
2883,2884,2887,2888,2889,2902,3406,3408,3420,3422,3433,3439,3448,3847],[1,2,4,
5,9,10,11,12,13,14,19,20,22,23,25,26,28,32,40,41,50,57,63,65,71,73,75,76,77,81
,87,89,93,103,107,108,110,130,132,136,139,153,155,158,160,162,168,171,173,174,
179,180,190,201,205,206,218,221,227,242,246,247,248,249,261,262,263,265,267,
281,286,288,289,331,339,350,351,414,416,417,420,423,428,429,433,436,438,445,
449,477,478,484,485,500,522,523,528,540,541,556,557,559,560,569,570,571,572,
585,593,599,607,615,621,695,698,703,742,764,773,801,802,810,971,984,989,990,
994,997,1007,1011,1017,1021,1022,1039,1041,1072,1078,1083,1117,1124,1126,1139,
1151,1153,1155,1168,1210,1213,1223,1241,1251,1343,1457,1722,1725,1752,1754,
1778,1783,1784,1855,1858,1874,1876,1914,1939,1948,2004,2166,2168,2179,2524,
2660,2873,2877,2881,2885,2887,2888,2902,3405,3408,3417,3418,3434,3440,3448,
3848],[1,2,3,4,5,9,10,12,13,14,15,16,17,19,20,21,22,23,24,26,28,30,32,40,41,50
,52,55,56,62,63,65,68,70,71,73,74,75,76,77,79,80,81,87,88,90,92,100,101,106,
107,108,109,110,130,131,132,135,136,139,155,158,160,161,162,168,169,170,171,
173,174,175,176,179,180,190,199,201,206,221,227,231,232,237,240,241,243,245,
246,248,260,262,266,268,270,272,275,278,279,281,282,283,285,286,287,288,289,
331,332,338,339,346,347,351,414,415,416,423,424,425,429,430,431,433,436,438,
445,449,475,476,477,478,479,483,500,502,523,525,532,533,534,535,537,540,541,
556,557,560,572,576,586,593,600,607,613,619,690,699,700,704,757,761,763,764,
772,801,804,805,806,809,811,978,984,986,988,989,993,994,997,1006,1011,1016,
1019,1020,1041,1051,1071,1072,1078,1083,1089,1115,1124,1133,1139,1147,1152,
1155,1167,1212,1214,1222,1243,1252,1343,1461,1724,1726,1754,1761,1777,1782,
1784,1852,1856,1876,1889,1913,1939,1955,2007,2166,2168,2178,2179,2526,2661,
2877,2878,2880,2884,2885,2887,2888,2889,2902,3407,3411,3418,3422,3433,3440,
3447,3849],[1,2,4,5,9,10,11,12,13,19,20,22,23,24,26,28,32,40,41,50,51,57,65,71
,73,74,75,76,77,82,87,88,100,101,107,108,130,132,136,139,153,155,160,162,168,
173,174,179,180,190,199,201,206,218,219,221,236,237,239,240,241,257,258,260,
261,262,263,280,281,282,331,332,346,347,414,415,416,420,423,428,429,433,436,
438,445,449,474,479,482,483,484,485,500,521,522,528,536,556,557,559,560,569,
576,586,593,597,607,613,619,688,689,690,742,743,769,799,800,809,971,984,986,
987,994,997,1007,1011,1017,1021,1022,1039,1041,1069,1078,1083,1115,1125,1126,
1139,1156,1167,1168,1169,1202,1203,1225,1243,1254,1343,1456,1721,1726,1752,
1753,1778,1781,1782,1851,1852,1874,1875,1913,1934,1948,2009,2166,2168,2179,
2527,2650,2873,2877,2880,2883,2887,2888,2902,3404,3411,3417,3420,3434,3439,
3447,3850],[1,2,3,4,6,9,10,12,13,14,15,16,17,19,20,21,22,23,24,26,29,31,33,35,
42,44,45,50,52,55,56,62,63,65,68,70,71,73,74,75,76,77,79,80,81,87,88,90,92,100
,101,106,107,108,109,110,130,132,136,140,156,159,163,165,166,172,177,178,182,
183,184,185,186,187,188,189,195,200,204,208,209,221,227,231,232,237,240,241,
243,245,246,248,260,262,266,268,270,272,275,278,279,281,282,283,285,286,287,
288,289,331,332,338,339,346,347,351,414,415,416,420,423,428,429,433,436,438,
448,453,480,481,486,487,488,489,497,498,505,526,527,547,548,549,550,551,552,
553,554,555,561,562,574,575,581,582,590,591,592,595,602,603,604,609,617,623,
690,699,700,704,757,761,763,764,772,801,804,805,806,809,811,971,984,986,987,
994,997,1007,1011,1017,1021,1022,1040,1048,1076,1081,1085,1116,1134,1135,1144,
1160,1161,1162,1163,1164,1165,1166,1181,1215,1216,1227,1245,1256,1344,1461,
1721,1726,1752,1753,1778,1781,1782,1853,1859,1878,1883,1916,1937,1954,2011,
2167,2169,2180,2527,2655,2875,2879,2882,2886,2890,2891,2903,3409,3412,3423,
3424,3436,3442,3449,3851],[1,2,3,4,5,9,12,13,14,15,16,17,22,23,24,25,26,40,41,
50,52,54,55,64,100,101,103,104,105,106,107,108,109,110,111,112,130,131,132,135
,136,139,160,199,201,206,215,229,237,243,244,247,251,331,334,336,337,338,340,
347,349,351,414,416,417,420,422,424,425,426,427,428,429,430,431,435,436,437,
438,500,502,613,616,619,650,652,663,737,739,741,776,777,788,794,969,971,977,
978,979,980,981,987,988,989,990,993,994,995,996,997,999,1000,1002,1003,1009,
1010,1011,1012,1047,1115,1117,1139,1192,1353,1356,1361,1373,1378,1381,1475,
1719,1722,1727,1737,1739,1747,1750,1752,1755,1757,1759,1761,1763,1764,1781,
1784,1785,1910,1970,1971,2185,2186,2192,2219,2222,2226,2474,2487,2502,2504,
2506,2511,2512,2637,2896,2905,2911,2915,2929,2933,3148,3445,3455,3457,3852],[1
,2,3,4,5,9,12,13,14,15,16,17,22,23,24,25,26,40,41,50,52,54,55,64,100,101,103,
104,105,108,109,110,111,112,130,131,132,135,136,139,160,199,201,207,215,229,
237,243,244,247,333,334,335,336,340,346,348,350,414,415,416,417,420,422,424,
425,426,427,428,429,430,431,435,436,437,438,500,502,613,618,650,652,663,735,
738,740,777,788,969,971,977,978,979,980,981,986,987,988,989,990,991,992,995,
996,997,999,1000,1002,1003,1009,1010,1011,1012,1047,1115,1117,1141,1191,1351,
1353,1356,1363,1373,1378,1381,1474,1719,1721,1722,1723,1724,1737,1739,1747,
1750,1755,1756,1757,1758,1760,1763,1764,1782,1783,1786,1908,1970,2185,2186,
2192,2220,2222,2225,2475,2489,2502,2505,2507,2510,2511,2636,2895,2896,2905,
2911,2915,2930,2934,3147,3444,3454,3457,3853],[1,2,3,4,5,9,10,12,13,14,15,16,
17,19,22,23,24,25,26,28,32,40,41,50,51,52,54,55,62,63,64,65,73,74,75,76,77,79,
80,81,100,101,103,104,105,106,107,108,109,110,130,131,132,135,136,139,160,168,
173,179,180,199,201,206,215,228,229,237,240,243,244,247,249,258,281,283,284,
285,286,287,290,331,332,336,337,338,339,340,346,347,350,351,414,415,416,417,
420,422,423,424,425,426,427,428,429,430,431,433,436,438,445,449,500,502,557,
586,593,613,619,650,652,656,660,663,734,737,740,741,767,787,788,809,810,811,
812,968,969,971,977,978,979,980,981,982,983,984,986,987,988,989,990,991,992,
993,994,997,1000,1003,1006,1007,1011,1012,1016,1017,1019,1020,1021,1022,1047,
1069,1071,1072,1078,1115,1117,1139,1243,1351,1353,1356,1361,1366,1370,1374,
1376,1378,1492,1715,1719,1721,1722,1723,1724,1725,1726,1732,1735,1739,1742,
1743,1752,1753,1754,1755,1759,1760,1761,1775,1776,1777,1778,1781,1782,1783,
1784,1877,1910,1913,1914,1970,2185,2186,2192,2197,2202,2208,2211,2216,2220,
2226,2473,2474,2488,2489,2491,2506,2507,2524,2525,2526,2527,2670,2895,2896,
2905,2908,2912,2921,2922,2929,2935,3144,3444,3450,3455,3469,3470,3854],[1,2,3,
4,6,9,10,12,13,14,15,16,17,19,22,23,24,25,26,29,31,33,35,42,44,45,50,51,52,54,
55,62,63,64,65,73,74,75,76,77,79,80,81,100,101,103,104,105,106,107,108,109,110
,130,131,132,135,136,140,165,172,184,185,186,187,189,200,204,208,209,216,228,
229,237,240,243,244,247,249,258,281,283,284,285,286,287,290,331,332,336,337,
338,339,340,346,347,350,351,414,415,416,417,420,422,423,424,425,426,427,428,
429,430,431,433,436,438,446,448,452,453,501,504,505,549,590,591,592,595,617,
623,651,653,655,658,659,661,664,734,737,740,741,767,787,788,809,810,811,812,
968,969,971,977,978,979,980,981,982,983,984,986,987,988,989,990,991,992,993,
994,997,1000,1003,1006,1007,1011,1012,1016,1017,1019,1020,1021,1022,1049,1070,
1073,1074,1075,1076,1080,1116,1118,1140,1144,1245,1352,1354,1357,1362,1364,
1367,1368,1369,1371,1375,1377,1380,1492,1715,1719,1721,1722,1723,1724,1725,
1726,1732,1735,1739,1742,1743,1752,1753,1754,1755,1759,1760,1761,1775,1776,
1777,1778,1781,1782,1783,1784,1887,1911,1912,1915,1916,1917,1972,2187,2188,
2193,2196,2198,2203,2204,2209,2210,2212,2213,2217,2221,2227,2473,2474,2488,
2489,2491,2506,2507,2524,2525,2526,2527,2671,2897,2898,2906,2909,2913,2918,
2919,2920,2923,2931,2932,2936,3144,3446,3451,3456,3466,3467,3468,3471,3855],[1
,2,4,6,9,10,11,12,13,22,24,26,29,31,42,49,50,51,57,73,74,78,82,96,100,101,102,
135,136,141,144,172,216,218,236,237,238,257,258,259,316,420,421,422,423,424,
437,438,447,450,451,503,659,661,664,671,687,688,716,717,967,968,969,970,985,
1002,1003,1004,1005,1006,1007,1008,1058,1084,1358,1359,1375,1388,1720,1731,
1732,1733,1749,1750,1751,1769,1817,1818,1845,2194,2199,2200,2201,2472,2478,
2479,2499,2500,2595,2900,2910,3138,3426,3427,3461,3856],[1,2,3,4,5,9,15,16,17,
19,20,23,24,25,26,28,30,32,41,52,56,75,88,92,93,96,97,98,99,105,106,111,116,
117,130,131,135,139,161,169,176,179,190,202,207,253,275,277,333,344,345,349,
353,357,358,359,360,361,416,425,435,437,449,493,502,534,579,587,608,611,624,
625,626,733,807,839,840,842,843,844,985,993,1009,1014,1026,1089,1136,1141,1171
,1279,1283,1285,1286,1288,1343,1508,1729,1785,1787,1901,1940,2045,2074,2168,
2178,2529,2731,2889,2901,3413,3441,3462,3857],[1,2,3,4,6,9,11,12,13,14,15,16,
17,21,24,25,26,42,44,45,49,50,52,54,55,57,64,66,67,68,69,70,78,82,85,86,89,90,
91,102,105,113,114,130,131,132,135,136,141,144,165,216,218,220,229,232,233,234
,238,254,255,259,274,300,301,302,303,304,305,343,420,421,422,424,425,426,427,
428,429,430,431,432,435,437,503,507,509,510,651,653,664,667,687,691,692,693,
768,796,967,969,970,971,972,973,974,975,976,977,978,979,980,981,1001,1004,1005
,1008,1009,1013,1015,1018,1023,1024,1025,1055,1058,1358,1359,1380,1427,1714,
1716,1717,1718,1719,1720,1733,1736,1738,1744,1745,1748,1751,1766,1772,1773,
1774,1780,1845,1846,1902,2189,2190,2191,2194,2471,2476,2478,2492,2495,2498,
2503,2715,2900,2907,3128,3430,3443,3461,3858],[1,2,3,4,5,9,11,12,13,14,15,16,
17,21,22,23,24,25,26,40,41,50,52,54,55,57,64,67,68,69,70,100,101,103,104,105,
106,107,108,109,110,111,112,130,131,132,135,136,139,153,160,162,206,207,215,
218,229,232,233,234,237,243,244,247,251,331,333,334,335,336,337,338,340,414,
415,416,417,420,421,422,424,425,426,427,428,429,430,431,432,500,502,522,618,
619,650,652,663,667,735,737,788,791,792,794,969,970,971,972,973,974,975,977,
978,979,980,981,986,987,988,989,990,991,992,993,994,995,996,997,1039,1047,1051
,1139,1141,1232,1356,1360,1361,1363,1378,1379,1419,1716,1717,1718,1719,1720,
1721,1722,1723,1724,1727,1752,1755,1756,1757,1758,1759,1760,1761,1841,1908,
1910,2185,2186,2192,2195,2225,2226,2471,2474,2475,2485,2486,2487,2489,2643,
2899,2904,2905,2929,2930,2939,3127,3425,3454,3455,3859],[1,2,3,4,5,9,10,11,12,
13,14,15,16,17,19,21,22,23,24,25,26,28,32,40,41,50,51,52,54,55,57,62,63,64,65,
67,68,69,70,73,74,75,76,77,79,80,81,82,89,90,91,100,101,103,104,105,108,109,
110,130,131,132,135,136,139,153,160,162,168,173,179,180,199,201,215,218,228,
229,232,233,234,236,237,242,243,244,245,247,257,258,264,265,266,273,274,281,
283,284,285,286,287,290,336,340,420,421,422,423,424,425,426,427,428,429,430,
431,432,433,435,436,437,438,445,449,474,482,483,484,500,502,522,557,613,650,
652,656,660,663,667,688,694,695,696,700,701,756,767,784,788,968,969,970,971,
972,973,974,975,977,978,979,980,981,982,983,984,999,1000,1002,1003,1006,1007,
1008,1009,1010,1011,1012,1016,1017,1018,1019,1020,1021,1022,1023,1024,1039,
1047,1051,1069,1071,1072,1078,1115,1117,1202,1356,1360,1366,1370,1373,1374,
1376,1378,1379,1381,1432,1715,1716,1717,1718,1719,1720,1731,1732,1734,1735,
1737,1739,1740,1741,1742,1743,1746,1747,1749,1750,1763,1764,1765,1775,1776,
1777,1778,1779,1780,1841,1851,1855,1856,1857,1877,1970,2185,2186,2192,2195,
2197,2202,2215,2216,2218,2222,2223,2224,2471,2477,2479,2490,2491,2493,2494,
2496,2497,2501,2502,2688,2899,2904,2905,2908,2911,2912,2915,2921,2922,2938,
3129,3425,3450,3453,3457,3458,3459,3460,3860],[1,2,3,4,5,9,10,12,13,14,15,16,
17,19,22,23,24,25,26,28,32,40,41,50,51,52,54,55,62,63,64,65,73,74,75,76,77,79,
80,81,100,101,103,104,105,106,107,108,109,110,111,112,130,131,132,135,136,139,
160,168,173,179,180,201,207,215,228,229,240,247,249,251,252,258,281,283,284,
285,286,287,290,333,334,335,336,337,340,415,416,417,420,422,423,424,425,426,
427,428,429,430,431,433,436,438,445,449,500,502,557,616,618,650,652,656,660,
663,735,767,776,777,787,790,794,968,969,971,977,978,979,980,981,982,983,984,
986,989,990,991,992,993,994,995,996,1000,1003,1006,1007,1011,1012,1016,1017,
1019,1020,1021,1022,1047,1069,1071,1072,1078,1117,1141,1264,1353,1356,1363,
1366,1370,1374,1376,1378,1478,1715,1719,1722,1725,1726,1727,1728,1732,1735,
1739,1742,1743,1756,1757,1758,1759,1760,1775,1776,1777,1778,1877,1908,1971,
2185,2186,2192,2197,2202,2216,2219,2225,2475,2484,2487,2488,2491,2510,2512,
2677,2896,2905,2908,2912,2921,2922,2930,2937,3136,3445,3450,3454,3861],[1,2,3,
4,6,9,11,12,13,14,17,19,21,23,24,25,26,33,35,42,49,50,57,63,66,69,75,78,81,82,
86,89,90,91,99,102,103,104,110,113,114,131,132,135,136,141,144,187,216,218,238
,242,247,254,259,265,273,286,300,303,305,326,329,330,420,421,422,424,426,431,
432,433,435,436,437,457,459,460,503,655,658,664,685,687,691,695,721,723,724,
967,969,970,974,976,982,999,1000,1001,1004,1005,1008,1010,1013,1014,1018,1020,
1022,1023,1024,1025,1058,1094,1358,1359,1377,1395,1720,1733,1740,1742,1744,
1745,1746,1747,1748,1751,1768,1770,1771,1773,1779,1819,1824,1845,2194,2205,
2206,2207,2476,2477,2478,2483,2509,2513,2514,2597,2900,2914,3142,3428,3429,
3461,3862],[1,2,4,5,10,11,12,13,19,23,24,25,27,40,41,51,57,65,77,82,87,100,107
,113,116,134,155,157,158,160,162,202,205,207,217,219,239,240,254,257,263,352,
419,521,523,524,571,577,578,614,618,620,625,654,689,719,778,1066,1190,1217,
1219,1228,1229,1270,1355,1449,1730,1923,1973,1991,2480,2680,2916,3126,3464,
3863],[1,2,4,5,10,11,12,13,19,23,24,27,40,41,51,57,65,77,82,87,100,102,107,116
,134,155,157,158,160,162,205,207,217,219,238,239,240,257,263,352,418,521,523,
524,571,577,578,618,620,622,626,654,689,716,778,1066,1217,1219,1228,1229,1233,
1272,1365,1447,1730,1923,1957,1969,2480,2701,2916,3125,3464,3864],[1,2,5,6,7,8
,9,40,43,44,118,119,120,121,122,123,124,125,126,127,128,129,139,141,142,145,
153,154,156,405,406,407,408,413,629,630,631,632,633,634,635,636,637,638,639,
640,641,642,857,858,859,860,861,862,863,864,866,867,868,872,911,912,913,914,
957,963,1293,1309,1324,1790,1791,1792,1793,1794,1795,1796,2085,2102,2103,2104,
2105,2106,2107,2108,2111,2112,2113,2114,2115,2126,2150,2151,2152,2538,2941,
3157,3168,3169,3172,3173,3174,3181,3865],[1,2,5,6,7,8,10,28,29,40,44,118,119,
120,121,122,123,124,125,126,127,128,129,143,146,155,168,366,381,386,387,393,
405,629,630,631,632,633,634,635,636,637,638,639,640,641,642,871,876,930,1294,
1297,1317,1319,1790,1791,1792,1793,1794,1795,1796,2086,2136,2535,2941,3152,
3155,3163,3866],[1,3,5,6,7,8,18,33,36,45,47,118,119,120,121,122,123,124,125,
126,127,128,129,149,152,167,196,370,382,394,395,396,397,398,410,629,630,631,
632,633,634,635,636,637,638,639,640,641,642,875,896,950,1301,1302,1322,1323,
1790,1791,1792,1793,1794,1795,1796,2089,2146,2536,2941,3153,3154,3164,3867],[1
,4,5,6,7,8,20,31,32,34,35,38,39,41,42,46,118,119,120,121,122,123,124,125,126,
127,128,129,178,190,197,367,369,371,373,374,375,376,377,378,379,380,383,384,
385,388,389,399,400,401,402,403,404,409,411,629,630,631,632,633,634,635,636,
637,638,639,640,641,642,882,892,893,895,902,908,909,910,927,1295,1298,1299,
1303,1304,1305,1306,1307,1308,1310,1312,1313,1314,1315,1316,1318,1320,1321,
1325,1327,1328,1329,1330,1331,1332,1333,1790,1791,1792,1793,1794,1795,1796,
2096,2129,2134,2135,2157,2159,2160,2532,2533,2537,2539,2540,2541,2542,2543,
2544,2545,2546,2941,3160,3183,3184,3474,3475,3476,3868],[1,2,3,4,8,11,15,21,34
,37,43,48,49,66,67,128,191,212,213,214,220,411,412,413,646,964,1335,2164,3477,
3869],[1,4,5,6,8,11,20,24,31,32,35,38,41,42,48,78,88,116,121,144,148,157,178,
190,207,212,362,379,384,388,439,440,442,451,573,608,625,873,892,1027,1031,1280
,1383,1580,2230,2548,3185,3480,3870],[1,4,5,6,8,11,20,24,31,35,41,42,46,48,78,
88,116,121,144,148,157,161,178,207,212,362,388,390,409,439,440,442,451,573,579
,626,873,936,1027,1029,1034,1287,1383,1580,2236,2548,3185,3480,3871],[1,2,3,4,
5,6,8,11,15,21,24,25,28,30,31,33,37,41,44,48,67,78,85,86,105,121,144,148,157,
169,181,184,202,207,214,301,372,387,388,439,440,442,451,459,469,495,510,543,
573,587,601,873,885,1033,1037,1093,1157,1383,1532,1580,1603,2238,2344,2548,
3187,3480,3872],[1,2,4,5,6,8,9,10,12,13,19,22,23,28,29,32,35,38,40,44,48,50,65
,73,75,76,77,108,121,140,141,143,145,153,155,173,174,180,189,201,206,214,281,
379,386,387,439,440,442,446,447,452,457,464,471,484,485,505,507,528,556,569,
593,607,865,867,906,1033,1037,1080,1098,1168,1383,1518,1527,1564,1577,1593,
1602,2238,2332,2346,2547,3186,3479,3873],[1,2,4,6,7,9,10,12,13,19,22,23,29,35,
39,44,48,50,65,73,75,76,77,108,124,140,141,142,146,156,159,188,189,195,204,208
,214,281,375,393,439,441,443,446,447,452,457,467,470,497,498,505,507,551,561,
574,595,609,861,869,904,1033,1036,1080,1098,1181,1384,1522,1529,1569,1578,1595
,1601,2239,2347,2349,2547,3186,3478,3874],[1,2,3,4,5,6,8,9,10,15,16,19,22,23,
28,32,41,42,44,45,46,48,52,62,73,75,79,80,109,121,139,145,156,159,163,165,166,
179,208,209,212,213,214,283,384,387,409,439,440,442,445,449,502,511,526,527,
574,575,581,582,623,643,644,645,646,647,648,649,866,947,1027,1028,1029,1031,
1033,1034,1037,1071,1227,1336,1337,1338,1339,1340,1341,1342,1383,1566,1567,
1646,1797,1798,1799,1801,1803,1804,1805,1806,1807,1808,2165,2230,2236,2238,
2395,2551,2552,2554,2557,2558,2560,2562,2563,2564,2565,2566,2946,2947,3188,
3192,3482,3484,3487,3875],[1,2,3,4,6,7,9,10,15,16,19,22,23,29,33,42,44,45,47,
48,52,62,73,75,79,80,109,124,140,146,156,159,163,165,166,185,208,209,212,213,
214,283,393,394,410,439,441,443,446,453,504,514,526,527,574,575,581,582,623,
643,644,645,646,647,648,649,869,949,1027,1028,1030,1032,1033,1035,1036,1073,
1227,1336,1337,1338,1339,1340,1341,1342,1384,1569,1581,1645,1797,1798,1800,
1802,1803,1804,1805,1806,1807,1809,2165,2231,2237,2239,2396,2551,2552,2555,
2556,2559,2561,2562,2563,2564,2565,2566,2945,2948,3189,3192,3483,3485,3488,
3876],[1,2,3,4,5,6,8,11,15,21,28,30,41,42,44,45,46,48,49,66,67,121,144,148,157
,165,169,181,214,220,387,391,409,439,440,442,503,509,510,513,520,542,543,873,
935,1033,1037,1055,1121,1335,1383,1603,1604,1647,2164,2238,2423,2549,2550,2553
,3190,3191,3486,3877],[1,2,5,6,8,9,10,22,26,28,29,40,73,118,120,121,130,139,
140,141,143,153,155,206,215,366,381,386,445,446,569,629,650,848,857,865,1294,
1343,1344,1562,1564,2097,2567,2568,3193,3878],[1,2,5,6,7,8,9,10,22,26,28,29,44
,73,118,121,124,125,126,130,139,140,145,146,156,159,208,216,366,387,393,445,
446,574,631,651,848,866,869,1297,1343,1344,1566,1569,2099,2569,2570,3193,3879]
,[1,4,5,7,8,20,24,27,34,41,88,119,125,127,134,147,151,161,207,217,371,402,456,
579,633,654,850,874,1298,1346,1576,2100,2572,3194,3880],[1,2,5,6,8,9,10,22,26,
28,40,43,44,73,118,120,121,130,139,141,145,153,155,156,159,168,206,208,215,216
,381,387,405,407,408,414,445,569,574,629,650,651,857,866,867,868,911,915,930,
937,961,1038,1293,1317,1343,1361,1362,1562,1566,1678,1810,2103,2116,2166,2567,
2569,2574,2811,3214,3215,3490,3881],[1,2,4,5,6,8,9,19,23,26,28,32,35,38,40,41,
44,75,118,120,121,130,139,141,145,153,156,179,180,195,201,204,215,216,369,378,
379,381,383,387,390,405,416,449,457,471,484,497,629,650,651,857,866,867,868,
881,903,911,924,958,1038,1296,1305,1317,1343,1353,1354,1515,1526,1527,1528,
1685,1810,2103,2127,2168,2567,2569,2575,2799,3203,3205,3490,3882],[1,2,4,5,6,8
,9,12,13,26,28,29,32,35,38,40,44,50,118,120,121,130,132,136,139,141,145,153,
156,173,174,188,189,215,216,366,369,378,379,381,386,387,405,429,500,528,551,
629,650,651,656,658,660,661,857,866,867,868,884,906,911,918,919,1038,1294,1305
,1317,1343,1366,1371,1552,1584,1592,1810,1811,1812,2103,2128,2179,2567,2569,
2580,2770,3208,3211,3490,3883],[1,2,4,5,6,7,8,10,13,19,26,28,29,32,35,38,39,40
,44,65,118,121,124,125,126,130,132,136,140,143,146,155,159,173,180,189,195,215
,216,366,369,375,376,377,379,386,387,393,405,429,505,556,561,631,650,651,656,
658,660,661,865,869,870,871,904,906,915,918,924,1038,1297,1307,1319,1344,1366,
1371,1554,1593,1595,1810,1811,1812,2109,2131,2180,2568,2570,2580,2775,3210,
3212,3491,3884],[1,2,4,5,6,8,9,19,23,26,28,31,32,34,40,41,42,44,46,75,118,120,
121,130,139,141,145,153,156,163,177,179,200,209,215,216,367,380,381,384,385,
387,388,389,405,409,416,449,455,480,575,629,650,651,857,866,867,868,891,911,
929,947,954,1038,1295,1317,1318,1343,1352,1364,1514,1567,1568,1659,1810,2103,
2140,2168,2567,2569,2589,2782,3201,3217,3490,3885],[1,2,5,6,8,9,10,22,26,28,29
,40,44,73,118,120,121,130,139,141,145,153,155,156,168,199,206,215,216,366,381,
386,387,405,414,445,447,474,569,629,650,651,857,866,867,868,876,911,930,955,
1038,1294,1317,1343,1351,1361,1512,1562,1577,1658,1810,2103,2136,2166,2567,
2569,2588,2783,3199,3214,3490,3886],[1,2,4,5,6,7,8,10,12,22,26,29,31,32,34,40,
41,42,44,46,74,118,121,124,125,126,130,140,143,146,155,159,162,172,174,199,206
,215,216,367,383,384,386,388,393,401,402,405,409,414,448,454,479,576,631,650,
651,865,869,870,871,883,915,942,946,955,1038,1303,1319,1320,1344,1351,1361,
1513,1570,1571,1665,1810,2109,2143,2167,2568,2570,2588,2784,3200,3216,3491,
3887],[1,2,3,5,6,7,8,10,16,23,26,29,33,36,40,44,45,47,79,118,121,124,125,126,
130,140,143,146,155,159,166,182,185,200,209,215,216,370,382,386,393,394,397,
398,405,410,416,453,461,486,582,631,650,651,865,869,870,871,897,915,943,949,
954,1038,1302,1319,1322,1344,1352,1364,1517,1581,1582,1666,1810,2109,2145,2169
,2568,2570,2589,2785,3204,3218,3491,3888],[1,2,4,5,6,8,9,12,13,26,28,32,35,40,
41,44,50,118,120,121,130,132,136,139,141,145,153,156,160,162,173,174,215,216,
369,381,383,387,390,405,429,500,507,522,528,629,650,651,652,656,660,663,857,
866,867,868,884,911,942,945,1038,1296,1317,1343,1366,1378,1584,1602,1642,1669,
1810,1814,1816,2103,2141,2179,2567,2569,2587,2845,3208,3221,3490,3889],[1,2,3,
4,5,6,8,9,15,16,26,28,30,31,33,37,40,41,42,44,45,46,52,118,120,121,130,131,135
,139,141,145,153,156,165,166,169,182,184,215,216,372,380,381,382,387,388,389,
391,392,405,409,425,502,511,526,552,629,650,651,653,655,659,664,857,866,867,
868,885,911,935,939,943,1038,1300,1317,1318,1343,1367,1380,1588,1589,1646,1668
,1810,1813,1815,2103,2138,2178,2567,2569,2586,2843,3209,3222,3490,3890],[1,2,3
,4,5,6,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,28,29,32,35,40,41,44,
50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,73,74,75,76,77,
79,80,81,82,87,89,90,91,92,94,95,100,101,103,104,105,106,107,108,109,110,111,
112,118,139,141,144,153,156,157,160,162,168,173,174,179,180,188,189,190,199,
201,218,221,222,223,224,225,226,228,229,230,231,232,233,234,236,237,242,243,
244,245,247,250,251,257,258,261,262,263,264,265,266,268,269,270,271,272,273,
274,275,278,279,281,283,284,285,286,287,290,291,292,293,294,295,296,297,298,
299,331,333,334,335,336,337,338,340,366,369,405,445,447,449,450,457,460,474,
482,483,484,494,500,502,507,510,522,524,528,551,557,559,560,613,616,667,668,
669,670,688,694,695,696,700,701,707,708,709,710,711,735,737,742,750,751,752,
753,754,756,757,758,759,760,761,762,767,784,788,789,791,792,793,794,857,911,
918,919,1039,1042,1043,1045,1047,1051,1058,1067,1069,1071,1072,1078,1083,1089,
1090,1098,1099,1104,1115,1117,1126,1183,1202,1206,1207,1208,1387,1415,1417,
1418,1419,1422,1423,1424,1425,1426,1432,1512,1515,1552,1642,1818,1824,1841,
1844,1851,1855,1856,1857,1865,1874,1877,1888,1889,1891,1897,1902,1944,1970,
1971,2242,2294,2307,2407,2408,2594,2607,2610,2614,2622,2623,2688,2689,2690,
2691,2965,2966,2984,2990,3245,3252,3502,3522,3523,3891],[1,2,3,4,5,6,8,9,11,12
,13,14,15,16,17,18,21,24,25,31,33,40,41,44,49,50,52,54,55,57,58,59,60,61,64,66
,67,68,69,70,72,78,82,83,84,85,86,89,90,91,94,95,102,105,111,113,114,115,121,
139,141,144,145,148,152,153,156,157,160,162,182,184,207,218,220,222,223,224,
225,226,229,232,233,234,235,238,254,255,256,259,274,296,297,298,300,301,302,
303,304,305,306,307,308,309,310,311,312,313,314,315,333,341,342,343,388,451,
459,500,502,507,510,520,522,524,552,573,577,622,666,667,669,670,687,691,692,
693,712,713,714,715,736,744,745,746,747,748,749,753,768,796,797,798,866,867,
873,1039,1042,1043,1045,1047,1051,1058,1059,1064,1065,1067,1093,1102,1141,1226
,1233,1387,1416,1420,1427,1428,1429,1430,1580,1588,1817,1819,1838,1841,1844,
1892,1902,1909,1922,1949,1956,2241,2300,2302,2350,2594,2606,2607,2617,2618,
2639,2644,3006,3011,3244,3249,3521,3892],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16
,17,18,19,20,21,22,23,24,25,29,35,40,41,44,50,51,52,53,54,55,56,57,58,59,60,61
,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,82,87,89,90,91,92,94,95,
100,101,103,104,105,106,107,108,109,110,111,112,121,139,141,144,145,148,152,
153,155,156,157,160,162,188,189,206,207,218,221,222,223,224,225,226,228,229,
230,231,232,233,234,236,237,242,243,244,245,247,250,251,257,258,261,262,263,
264,265,266,268,269,270,271,272,273,274,275,278,279,281,283,284,285,286,287,
290,291,292,293,294,295,296,297,298,299,331,333,334,335,336,337,338,340,386,
447,450,457,460,500,502,507,510,521,522,524,551,569,576,577,618,619,667,668,
669,670,688,694,695,696,700,701,707,708,709,710,711,735,737,742,750,751,752,
753,754,756,757,758,759,760,761,762,767,784,788,789,791,792,793,794,866,867,
873,1039,1041,1042,1043,1045,1047,1051,1058,1059,1064,1065,1067,1090,1098,1099
,1104,1139,1141,1217,1225,1231,1232,1387,1415,1417,1418,1419,1422,1423,1424,
1425,1426,1432,1577,1579,1592,1818,1824,1840,1841,1844,1891,1897,1902,1908,
1910,1925,1948,1955,1956,2242,2300,2302,2350,2594,2606,2607,2622,2623,2638,
2640,2642,2643,3004,3005,3012,3245,3250,3521,3893],[1,2,4,5,6,9,10,11,12,13,19
,20,22,23,24,28,29,31,32,40,42,49,50,51,57,65,71,73,74,75,76,77,78,82,87,88,96
,100,101,102,107,108,116,118,139,141,144,153,155,168,172,173,174,199,206,218,
219,221,236,237,238,239,240,241,257,258,259,260,261,262,263,280,281,282,316,
331,332,346,347,352,358,362,366,380,381,445,447,449,450,451,474,479,500,503,
528,536,569,586,597,671,687,688,689,690,716,717,718,742,743,769,778,799,800,
809,813,821,849,857,876,877,1039,1041,1058,1069,1078,1083,1084,1115,1139,1156,
1388,1389,1435,1446,1447,1456,1462,1512,1539,1562,1584,1817,1818,1845,1851,
1852,1874,1875,1913,1934,1948,2256,2294,2311,2595,2650,2965,2976,2992,3493,
3505,3517,3894],[1,2,3,4,6,7,9,10,11,12,13,14,19,20,21,22,23,25,29,35,36,39,44
,47,50,57,58,63,65,66,71,73,75,76,77,81,83,86,87,89,91,93,95,97,103,107,108,
110,112,113,115,117,124,140,146,150,156,159,188,189,195,198,204,208,218,221,
227,242,246,247,248,249,252,254,261,262,263,265,267,281,286,288,289,293,300,
313,318,323,331,339,350,351,355,359,364,375,393,396,446,452,462,466,470,497,
498,505,516,551,561,574,595,609,676,691,695,698,703,705,725,727,728,731,742,
764,773,779,801,802,810,817,826,856,869,899,904,1040,1048,1062,1077,1079,1080,
1106,1118,1144,1181,1397,1404,1439,1452,1453,1457,1465,1529,1550,1569,1595,
1820,1827,1848,1860,1863,1873,1884,1915,1938,1954,2262,2296,2347,2601,2656,
2968,2979,3003,3499,3508,3520,3895],[1,2,3,4,6,7,9,10,11,12,13,14,19,20,21,22,
23,25,29,35,36,39,44,47,50,57,59,63,65,66,71,73,75,76,77,81,84,86,87,89,91,93,
94,98,103,107,108,110,112,113,115,117,124,140,146,150,156,159,188,189,195,198,
204,208,218,221,227,242,246,247,248,249,252,254,261,262,263,265,267,281,286,
288,289,294,300,312,317,324,331,339,350,351,355,360,365,375,393,395,446,452,
462,465,470,497,498,505,517,551,561,574,595,609,675,691,695,698,703,706,726,
727,729,732,742,764,773,779,801,802,810,818,827,855,869,900,904,1040,1048,1062
,1077,1079,1080,1107,1118,1144,1181,1396,1405,1438,1451,1453,1457,1464,1529,
1549,1569,1595,1821,1827,1849,1860,1863,1873,1884,1915,1938,1954,2263,2296,
2347,2602,2656,2968,2980,3003,3498,3508,3519,3896],[1,2,3,4,6,7,10,11,12,13,14
,15,16,17,19,20,21,22,23,25,31,33,35,36,39,44,45,47,54,55,56,57,58,62,63,65,66
,69,70,71,74,76,77,79,80,81,83,84,86,87,89,91,92,93,95,97,101,103,106,107,108,
109,112,113,115,117,124,140,146,150,159,166,177,183,184,186,188,198,204,209,
227,231,234,236,241,244,246,249,252,254,256,261,263,265,267,269,272,278,279,
282,285,287,289,290,293,300,308,313,318,323,332,338,347,350,355,359,364,375,
394,396,448,452,453,462,466,470,489,498,504,505,516,547,555,582,591,604,676,
694,698,702,705,713,720,726,727,731,762,763,773,779,800,805,812,817,826,855,
869,898,899,1048,1053,1062,1074,1076,1079,1081,1086,1106,1118,1140,1162,1398,
1404,1439,1450,1451,1459,1464,1529,1546,1581,1590,1820,1827,1848,1861,1863,
1880,1883,1917,1935,1953,2261,2296,2327,2601,2657,2968,2979,3002,3499,3507,
3519,3897],[1,2,3,4,6,7,10,11,12,13,14,15,16,17,19,20,21,22,23,25,31,33,35,36,
39,44,45,47,54,55,56,57,59,62,63,65,66,69,70,71,74,76,77,79,80,81,83,84,86,87,
89,91,92,93,94,98,101,103,106,107,108,109,112,113,115,117,124,140,146,150,159,
166,177,183,184,186,188,198,204,209,227,231,234,236,241,244,246,249,252,254,
256,261,263,265,267,269,272,278,279,282,285,287,289,290,294,300,307,312,317,
324,332,338,347,350,355,360,365,375,394,395,448,452,453,462,465,470,489,498,
504,505,517,547,555,582,591,604,675,694,698,702,706,714,720,725,727,732,762,
763,773,779,800,805,812,818,827,856,869,898,900,1048,1053,1062,1074,1076,1079,
1081,1086,1107,1118,1140,1162,1399,1405,1438,1450,1452,1459,1465,1529,1545,
1581,1590,1821,1827,1849,1861,1863,1880,1883,1917,1935,1953,2260,2296,2327,
2602,2657,2968,2980,3002,3498,3507,3520,3898],[1,2,3,4,5,6,9,10,11,12,13,16,19
,20,21,22,23,24,25,28,29,32,33,40,45,50,51,57,65,66,68,71,73,74,75,76,77,79,82
,85,86,87,88,91,92,99,100,101,103,107,108,113,114,116,118,139,141,144,153,155,
168,173,174,185,199,206,218,219,221,236,237,239,240,241,249,254,257,258,260,
261,262,263,264,268,280,281,282,300,304,328,329,331,332,346,347,352,361,363,
366,381,382,445,447,449,450,459,474,479,500,509,528,536,569,586,597,684,688,
689,690,691,697,718,719,720,722,742,743,769,778,799,800,809,814,828,849,857,
876,878,1039,1041,1058,1069,1078,1083,1092,1115,1139,1156,1390,1394,1436,1446,
1449,1456,1463,1512,1538,1562,1584,1818,1819,1846,1851,1852,1874,1875,1913,
1934,1948,2257,2294,2311,2596,2650,2965,2977,2992,3496,3505,3517,3899],[1,2,3,
4,5,6,9,10,11,12,13,14,19,20,21,22,23,25,28,32,33,35,40,45,50,57,59,63,65,66,
71,73,75,76,77,81,84,86,87,89,91,93,94,98,103,107,108,110,112,113,115,117,118,
139,141,144,153,155,173,174,180,183,201,206,218,221,227,242,246,247,248,249,
252,254,261,262,263,265,267,281,286,288,289,294,300,312,317,324,331,339,350,
351,355,360,365,369,381,382,445,449,457,459,460,484,485,500,509,528,556,569,
593,607,675,691,695,698,703,706,726,727,729,732,742,764,773,779,801,802,810,
818,827,852,857,884,894,1039,1041,1058,1072,1078,1083,1101,1117,1139,1168,1396
,1405,1438,1451,1453,1457,1464,1515,1541,1562,1584,1819,1824,1846,1855,1858,
1874,1876,1914,1939,1948,2263,2294,2330,2599,2660,2966,2977,2992,3494,3510,
3518,3900],[1,2,3,4,5,6,9,10,11,12,13,14,19,20,21,22,23,25,28,32,33,35,40,45,
50,57,58,63,65,66,71,73,75,76,77,81,83,86,87,89,91,93,95,97,103,107,108,110,
112,113,115,117,118,139,141,144,153,155,173,174,180,183,201,206,218,221,227,
242,246,247,248,249,252,254,261,262,263,265,267,281,286,288,289,293,300,313,
318,323,331,339,350,351,355,359,364,369,381,382,445,449,457,459,460,484,485,
500,509,528,556,569,593,607,676,691,695,698,703,705,725,727,728,731,742,764,
773,779,801,802,810,817,826,852,857,884,894,1039,1041,1058,1072,1078,1083,1100
,1117,1139,1168,1397,1404,1439,1452,1453,1457,1465,1515,1541,1562,1584,1819,
1824,1846,1855,1858,1874,1876,1914,1939,1948,2262,2294,2330,2600,2660,2966,
2977,2992,3495,3510,3518,3901],[1,2,3,4,5,6,9,11,12,13,14,15,16,17,18,21,24,25
,31,33,40,41,42,44,45,49,50,52,54,55,57,58,59,60,61,64,66,67,68,69,70,72,78,82
,83,84,85,86,89,90,91,94,95,102,105,111,113,114,115,118,139,141,144,153,156,
157,160,162,165,166,182,184,218,220,222,223,224,225,226,229,232,233,234,235,
238,254,255,256,259,274,296,297,298,300,301,302,303,304,305,306,307,308,309,
310,311,312,313,314,315,333,341,342,343,380,382,405,451,459,500,502,503,507,
509,510,522,524,526,552,666,667,669,670,687,691,692,693,712,713,714,715,736,
744,745,746,747,748,749,753,768,796,797,798,857,911,939,943,1039,1042,1043,
1045,1047,1051,1054,1055,1058,1067,1093,1102,1387,1416,1420,1427,1428,1429,
1430,1642,1668,1817,1819,1839,1841,1844,1845,1846,1892,1902,2241,2294,2307,
2594,2607,2617,2618,2715,2716,2976,2977,2984,3244,3258,3502,3533,3534,3902],[1
,2,3,4,5,6,9,10,11,12,13,14,15,16,17,19,21,22,23,24,25,28,29,31,32,33,35,40,41
,42,44,45,49,50,51,52,54,55,57,62,63,64,65,66,67,68,69,70,73,74,75,76,77,78,79
,80,81,82,85,86,89,90,91,96,99,100,101,102,103,104,105,108,109,110,113,114,118
,139,141,144,153,160,162,165,168,172,173,179,180,184,185,186,187,189,199,201,
218,220,228,229,232,233,234,236,237,238,242,243,244,245,247,254,255,257,258,
259,264,265,266,273,274,281,283,284,285,286,287,290,300,301,302,303,304,305,
316,326,327,328,329,330,336,340,343,344,366,369,380,382,405,445,447,449,450,
451,457,459,460,474,482,483,484,500,502,503,507,509,510,522,549,557,613,667,
671,684,685,686,687,688,691,692,693,694,695,696,700,701,716,717,719,720,721,
723,724,756,767,768,784,788,796,829,857,877,878,879,918,939,1039,1047,1051,
1055,1058,1069,1071,1072,1078,1084,1090,1091,1092,1093,1094,1098,1115,1117,
1202,1388,1390,1391,1392,1393,1395,1408,1427,1432,1487,1489,1512,1515,1630,
1642,1817,1818,1819,1824,1841,1845,1846,1851,1855,1856,1857,1877,1899,1902,
1970,2246,2294,2407,2595,2596,2597,2598,2617,2623,2688,2715,2965,2966,2976,
2977,2984,3279,3493,3496,3497,3522,3533,3903],[1,2,3,4,5,6,9,10,11,12,13,14,15
,16,17,18,19,21,22,23,24,25,28,29,32,33,35,40,41,44,45,50,51,52,54,55,57,58,59
,60,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,79,80,81,82,83,84,85,86,89,90
,91,94,95,97,98,99,100,101,103,104,105,108,109,110,111,112,113,114,115,118,139
,141,144,153,160,162,166,168,173,179,180,182,183,185,189,199,201,218,223,228,
229,232,233,234,235,236,237,242,243,244,245,247,254,256,257,258,264,265,266,
273,274,281,283,284,285,286,287,290,293,294,295,297,300,304,306,307,308,309,
310,311,312,313,314,315,317,318,319,320,321,322,323,324,325,328,329,334,336,
340,341,342,345,366,369,382,405,445,447,449,450,457,459,460,474,482,483,484,
500,502,507,509,510,522,554,557,613,667,674,675,676,680,682,683,684,688,691,
694,695,696,700,701,713,714,719,720,725,726,728,729,747,749,751,756,767,784,
788,797,830,834,857,878,894,918,943,1039,1047,1051,1054,1058,1069,1071,1072,
1078,1090,1092,1098,1100,1101,1102,1115,1117,1202,1390,1396,1397,1398,1399,
1406,1409,1428,1432,1480,1484,1512,1515,1632,1642,1818,1819,1824,1841,1846,
1851,1855,1856,1857,1877,1894,1902,1970,2248,2294,2407,2596,2599,2600,2618,
2623,2688,2716,2965,2966,2977,2984,3278,3494,3495,3496,3522,3534,3904],[1,2,3,
4,5,6,9,11,12,13,14,15,16,17,18,19,20,21,23,24,25,31,32,33,35,40,41,42,44,45,
49,50,52,53,54,55,56,57,58,59,60,61,63,64,66,67,68,69,70,71,72,75,78,81,82,83,
84,85,86,87,89,90,91,92,94,95,97,98,99,102,103,104,105,106,107,110,111,112,113
,114,115,118,139,141,144,153,160,162,165,166,174,180,182,183,184,186,187,188,
190,201,218,220,226,229,230,232,233,234,235,238,242,247,250,251,254,255,256,
259,262,265,269,271,272,273,274,275,286,291,292,293,294,295,296,297,298,299,
300,301,302,303,304,305,307,308,309,310,311,312,313,314,315,317,318,319,320,
321,322,323,324,325,326,329,330,334,335,337,341,342,343,345,369,380,382,405,
449,451,457,459,460,484,494,500,502,503,507,509,510,522,553,555,559,616,667,
675,676,677,678,679,681,682,683,685,687,691,692,693,695,707,710,713,714,721,
723,724,725,726,728,729,745,747,748,752,754,760,768,789,794,796,797,832,833,
834,857,879,894,919,939,943,1039,1047,1051,1054,1055,1058,1072,1083,1089,1091,
1093,1094,1099,1100,1101,1102,1104,1117,1208,1395,1396,1397,1400,1401,1402,
1403,1410,1424,1427,1428,1482,1483,1485,1515,1633,1642,1817,1819,1824,1841,
1845,1846,1855,1865,1888,1893,1895,1902,1971,2251,2294,2408,2597,2598,2599,
2600,2617,2618,2622,2691,2715,2716,2966,2976,2977,2984,3276,3277,3494,3495,
3497,3523,3533,3534,3905],[1,2,3,4,6,7,10,11,12,13,14,15,16,17,18,19,21,23,24,
25,33,35,36,39,42,44,45,47,51,55,57,58,59,60,62,63,64,65,66,67,68,69,70,72,77,
79,82,83,84,85,86,87,89,90,91,92,94,95,97,98,99,100,103,104,105,106,107,110,
111,112,113,114,115,124,140,146,150,159,163,165,167,182,183,187,188,196,198,
200,204,219,223,227,228,233,235,239,240,246,249,252,257,263,264,265,266,268,
271,273,274,279,284,293,294,295,297,300,304,306,307,308,309,310,311,312,313,
314,315,317,318,319,320,321,322,323,324,325,328,329,334,336,337,341,342,345,
370,375,395,396,410,452,453,461,462,463,465,466,470,481,486,488,498,501,504,
505,514,515,516,517,527,553,563,617,665,674,675,676,680,682,683,684,689,697,
698,699,705,706,727,730,731,732,747,749,751,756,759,785,787,790,830,834,869,
896,899,900,928,950,1048,1049,1050,1057,1062,1075,1079,1085,1086,1106,1107,
1108,1109,1110,1112,1113,1116,1118,1216,1404,1405,1407,1409,1421,1431,1481,
1486,1517,1529,1641,1645,1820,1821,1827,1828,1843,1848,1849,1854,1859,1862,
1863,1879,1900,1903,1972,2247,2296,2410,2601,2602,2603,2604,2619,2624,2693,
2717,2968,2969,2979,2980,2985,3280,3498,3499,3500,3524,3535,3906],[1,2,3,4,5,6
,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,28,29,32,35,40,41,44,50,51,52,
53,54,55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,82,87,88,89,
90,91,92,93,100,101,103,104,105,106,107,108,109,110,118,139,141,144,153,155,
160,162,168,173,174,179,180,189,190,199,201,206,218,219,221,227,228,229,230,
231,232,233,234,236,237,239,240,241,242,243,244,245,246,247,248,249,257,258,
260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,
279,280,281,282,283,284,285,286,287,288,289,290,331,332,336,337,338,339,340,
346,347,350,351,366,369,381,405,445,447,449,450,457,460,474,479,482,483,484,
485,500,502,507,510,521,522,528,536,556,557,559,560,569,576,586,593,597,607,
613,619,665,667,668,688,689,690,694,695,696,697,698,699,700,701,702,703,704,
734,737,740,741,742,743,755,756,757,758,759,760,761,762,763,764,765,766,767,
769,772,773,774,784,785,786,787,788,799,800,801,802,803,804,805,806,809,810,
811,812,857,876,884,918,930,1039,1041,1047,1051,1058,1069,1071,1072,1078,1083,
1089,1090,1098,1115,1117,1125,1126,1139,1156,1167,1168,1169,1202,1203,1225,
1243,1254,1413,1414,1417,1431,1432,1433,1456,1457,1458,1459,1460,1461,1467,
1468,1492,1512,1515,1562,1584,1617,1642,1818,1824,1840,1841,1851,1852,1855,
1856,1857,1858,1874,1875,1876,1877,1888,1889,1902,1910,1913,1914,1934,1939,
1948,1955,1970,2009,2274,2294,2311,2330,2387,2407,2418,2609,2610,2623,2640,
2647,2650,2659,2660,2661,2670,2687,2688,2965,2966,2984,2992,3047,3290,3505,
3510,3522,3537,3907],[1,2,3,4,6,7,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,
25,29,31,33,35,36,39,42,44,45,47,50,51,52,53,54,55,56,57,62,63,64,65,67,68,69,
70,71,73,74,75,76,77,79,80,81,82,87,88,89,90,91,92,93,100,101,103,104,105,106,
107,108,109,110,124,140,146,150,156,159,163,165,166,172,177,178,182,183,184,
185,186,187,188,189,195,198,200,204,208,209,218,219,221,227,228,229,230,231,
232,233,234,236,237,239,240,241,242,243,244,245,246,247,248,249,257,258,260,
261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,
280,281,282,283,284,285,286,287,288,289,290,331,332,336,337,338,339,340,346,
347,350,351,370,375,393,394,410,446,448,452,453,461,462,463,470,480,481,486,
487,488,489,497,498,501,504,505,514,515,526,527,547,548,549,550,551,552,553,
554,555,561,562,574,575,581,582,590,591,592,595,602,603,604,609,617,623,665,
667,668,688,689,690,694,695,696,697,698,699,700,701,702,703,704,734,737,740,
741,742,743,755,756,757,758,759,760,761,762,763,764,765,766,767,769,772,773,
774,784,785,786,787,788,799,800,801,802,803,804,805,806,809,810,811,812,869,
897,898,904,928,949,1040,1048,1049,1050,1053,1062,1070,1073,1074,1075,1076,
1077,1079,1080,1081,1082,1085,1086,1112,1113,1116,1118,1134,1135,1140,1144,
1160,1161,1162,1163,1164,1165,1166,1181,1215,1216,1227,1245,1256,1413,1414,
1417,1431,1432,1433,1456,1457,1458,1459,1460,1461,1467,1468,1492,1517,1529,
1569,1581,1590,1595,1640,1645,1827,1828,1842,1843,1853,1854,1859,1860,1861,
1862,1863,1864,1873,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1903,
1911,1912,1915,1916,1917,1935,1936,1937,1938,1947,1952,1953,1954,1972,2011,
2274,2296,2325,2326,2327,2347,2396,2410,2422,2611,2612,2624,2641,2648,2651,
2652,2653,2654,2655,2656,2657,2658,2671,2692,2693,2968,2969,2985,3002,3003,
3049,3291,3507,3508,3509,3524,3540,3908],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16
,17,19,20,21,22,23,24,25,28,29,31,32,33,34,35,38,40,41,42,44,45,46,50,51,52,53
,54,55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,82,87,88,89,90
,91,92,93,100,101,103,104,105,106,107,108,109,110,121,139,140,143,145,147,153,
155,156,159,160,162,163,165,166,168,172,173,174,177,178,179,180,182,183,184,
185,186,187,188,189,190,195,197,199,200,201,204,206,208,209,218,219,221,227,
228,229,230,231,232,233,234,236,237,239,240,241,242,243,244,245,246,247,248,
249,257,258,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,
276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,331,332,336,337,
338,339,340,346,347,350,351,367,379,384,386,387,388,409,445,446,448,449,452,
453,454,455,456,464,468,471,474,479,480,481,482,483,484,485,486,487,488,489,
497,498,500,501,502,504,505,508,511,512,521,522,526,527,528,536,547,548,549,
550,551,552,553,554,555,556,557,559,560,561,562,569,574,575,576,581,582,586,
590,591,592,593,595,597,602,603,604,607,609,613,617,619,623,665,667,668,688,
689,690,694,695,696,697,698,699,700,701,702,703,704,734,737,740,741,742,743,
755,756,757,758,759,760,761,762,763,764,765,766,767,769,772,773,774,784,785,
786,787,788,799,800,801,802,803,804,805,806,809,810,811,812,865,866,883,891,
892,906,927,946,947,1039,1040,1041,1047,1048,1049,1050,1051,1053,1060,1069,
1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1085,
1086,1087,1088,1089,1111,1115,1116,1117,1118,1125,1126,1134,1135,1139,1140,
1144,1156,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1181,1202,1203,
1215,1216,1225,1227,1243,1245,1254,1256,1413,1414,1417,1431,1432,1433,1456,
1457,1458,1459,1460,1461,1467,1468,1492,1513,1514,1518,1526,1564,1566,1567,
1571,1586,1588,1592,1593,1639,1644,1646,1826,1830,1840,1841,1842,1843,1851,
1852,1853,1854,1855,1856,1857,1858,1859,1860,1861,1862,1863,1864,1873,1874,
1875,1876,1877,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,
1904,1910,1911,1912,1913,1914,1915,1916,1917,1934,1935,1936,1937,1938,1939,
1947,1948,1952,1953,1954,1955,1970,1972,2009,2011,2274,2295,2312,2322,2323,
2329,2331,2332,2333,2345,2394,2395,2409,2412,2420,2421,2609,2610,2611,2612,
2625,2640,2641,2647,2648,2650,2651,2652,2653,2654,2655,2656,2657,2658,2659,
2660,2661,2670,2671,2687,2688,2692,2693,2967,2970,2986,2993,2994,3000,3001,
3048,3050,3290,3291,3506,3511,3512,3513,3525,3538,3539,3909],[1,2,3,4,5,6,9,10
,11,12,13,14,15,16,17,19,21,22,23,24,25,28,29,32,35,40,41,44,50,51,52,54,55,57
,62,63,64,65,67,68,69,70,73,74,75,76,77,79,80,81,82,89,90,91,100,101,103,104,
105,106,107,108,109,110,111,112,118,139,141,144,153,160,162,168,173,179,180,
189,199,201,206,207,218,228,229,232,233,234,236,237,240,242,243,244,245,247,
249,251,252,257,258,264,265,266,273,274,281,283,284,285,286,287,290,331,332,
333,334,335,336,337,338,339,340,346,347,348,349,350,351,366,369,405,445,447,
449,450,457,460,474,482,483,484,500,502,507,510,522,557,586,593,613,616,618,
619,667,688,694,695,696,700,701,734,735,737,738,739,740,741,756,767,776,777,
784,787,788,790,791,792,794,809,810,811,812,857,918,955,1039,1047,1051,1058,
1069,1071,1072,1078,1090,1098,1115,1117,1139,1141,1183,1191,1192,1202,1232,
1243,1264,1419,1432,1472,1474,1475,1476,1478,1491,1492,1512,1515,1613,1642,
1818,1824,1841,1851,1855,1856,1857,1877,1902,1908,1910,1913,1914,1970,1971,
2052,2266,2294,2398,2400,2407,2614,2623,2636,2637,2643,2670,2677,2688,2965,
2966,2984,3056,3287,3522,3536,3910],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,
18,19,20,21,24,25,40,41,42,44,45,46,49,50,51,52,53,54,55,56,57,58,59,60,61,62,
63,64,65,66,67,68,69,70,71,72,78,82,83,84,85,86,89,90,91,94,95,96,97,98,99,100
,102,103,104,105,111,112,113,114,115,121,139,140,143,144,145,147,148,152,155,
156,157,160,162,165,166,207,220,221,222,223,225,226,228,229,230,231,232,233,
235,257,259,264,265,266,273,274,291,292,293,294,295,296,297,298,299,300,301,
302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,
321,322,323,324,325,326,327,328,329,330,333,334,335,336,341,342,343,344,345,
409,500,501,502,503,504,505,508,509,510,511,512,513,519,520,521,524,526,565,
566,567,568,573,577,611,618,622,666,668,669,671,672,673,674,675,676,677,678,
679,680,681,682,683,684,685,686,733,735,736,744,745,746,747,748,749,750,751,
752,753,754,756,768,829,830,831,832,833,834,865,866,873,1040,1041,1042,1043,
1047,1049,1051,1053,1054,1055,1060,1064,1141,1217,1226,1271,1282,1408,1409,
1410,1411,1415,1416,1434,1644,1646,1647,1689,1832,1833,1834,1835,1836,1837,
1838,1839,1840,1842,1844,1901,1904,1906,1907,1908,1909,1949,1956,2019,2020,
2021,2240,2295,2302,2638,2639,2645,2709,2986,2987,3023,3107,3247,3248,3251,
3911],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,19,21,22,23,24,25,28,29,32,35,40,
41,44,50,51,52,54,55,57,62,63,64,65,67,68,69,70,73,74,75,76,77,79,80,81,82,89,
90,91,100,101,103,104,105,108,109,110,111,112,117,118,139,141,144,153,160,162,
168,173,179,180,189,199,201,218,228,229,232,233,234,236,237,242,243,244,245,
247,252,257,258,264,265,266,273,274,281,283,284,285,286,287,290,334,336,340,
353,354,355,366,369,405,445,447,449,450,457,460,474,482,483,484,500,502,507,
510,522,557,613,667,688,694,695,696,700,701,727,730,756,767,779,780,784,788,
790,836,852,857,918,1039,1047,1051,1058,1069,1071,1072,1078,1090,1098,1115,
1117,1202,1432,1450,1453,1469,1481,1512,1515,1608,1642,1818,1824,1841,1851,
1855,1856,1857,1877,1902,1970,2272,2294,2407,2623,2688,2965,2966,2984,3518,
3522,3912],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,19,21,22,23,24,25,28,29,32,
35,40,41,44,50,51,52,54,55,57,62,63,64,65,67,68,69,70,73,74,75,76,77,79,80,81,
82,89,90,91,100,101,103,104,105,106,107,108,109,110,116,118,139,141,144,153,
160,162,168,173,179,180,189,199,201,218,228,229,232,233,234,236,237,239,242,
243,244,245,246,247,257,258,264,265,266,273,274,281,283,284,285,286,287,290,
336,337,340,352,356,357,366,369,405,445,447,449,450,457,460,474,482,483,484,
500,502,507,510,522,557,613,667,688,694,695,696,700,701,718,722,756,767,778,
783,784,785,788,835,849,857,918,1039,1047,1051,1058,1069,1071,1072,1078,1090,
1098,1115,1117,1202,1432,1446,1448,1471,1488,1512,1515,1609,1642,1818,1824,
1841,1851,1855,1856,1857,1877,1902,1970,2268,2294,2407,2623,2688,2965,2966,
2984,3517,3522,3913],[1,2,3,4,6,7,10,11,12,13,14,15,16,17,19,21,23,24,25,33,35
,36,39,42,44,45,47,51,55,57,62,63,64,65,67,68,69,70,77,79,82,87,89,90,91,92,
100,103,104,105,106,107,110,111,113,115,117,124,140,146,150,159,163,165,182,
183,187,188,198,200,204,219,227,228,233,239,240,246,249,254,256,257,263,264,
265,266,268,271,273,274,279,284,336,337,341,353,354,355,370,375,410,452,453,
461,462,463,470,481,486,488,498,501,504,505,514,515,527,553,617,665,689,697,
698,699,719,725,726,756,759,779,780,785,787,797,836,855,856,869,928,1048,1049,
1050,1062,1075,1079,1085,1086,1112,1113,1116,1118,1216,1431,1451,1452,1469,
1480,1517,1529,1612,1645,1827,1828,1843,1854,1859,1862,1863,1879,1903,1972,
2270,2296,2410,2624,2693,2968,2969,2985,3519,3520,3524,3914],[1,2,3,4,6,8,9,11
,12,13,14,15,16,17,18,21,24,25,31,33,44,46,49,50,52,54,55,57,58,59,60,61,64,66
,67,68,69,70,72,78,82,83,84,85,86,89,90,91,94,95,102,105,111,113,114,115,120,
141,144,145,148,152,156,182,184,218,220,222,223,224,225,226,229,232,233,234,
235,238,254,255,256,259,274,296,297,298,300,301,302,303,304,305,306,307,308,
309,310,311,312,313,314,315,333,341,342,343,389,451,459,507,510,511,513,519,
552,666,667,669,670,687,691,692,693,712,713,714,715,736,744,745,746,747,748,
749,753,768,796,797,798,868,1043,1045,1058,1059,1064,1065,1093,1102,1387,1416,
1420,1427,1428,1429,1430,1589,1817,1819,1847,1850,1892,1902,1906,2241,2301,
2606,2607,2617,2618,2978,3244,3272,3503,3915],[1,2,3,4,7,8,9,11,12,13,14,15,16
,17,18,21,24,25,36,39,46,47,49,50,52,54,55,57,58,59,60,61,64,66,67,68,69,70,72
,78,82,83,84,85,86,89,90,91,94,95,102,105,111,113,114,115,127,145,148,149,150,
152,167,196,198,218,220,222,223,224,225,226,229,232,233,234,235,238,254,255,
256,259,274,296,297,298,300,301,302,303,304,305,306,307,308,309,310,311,312,
313,314,315,333,341,342,343,404,462,463,465,466,511,513,515,516,517,518,519,
563,666,667,669,670,687,691,692,693,712,713,714,715,736,744,745,746,747,748,
749,753,768,796,797,798,875,1056,1057,1059,1061,1064,1065,1106,1107,1108,1109,
1110,1112,1387,1416,1420,1427,1428,1429,1430,1605,1822,1823,1847,1850,1900,
1905,1906,2241,2303,2606,2608,2620,2621,2981,3246,3272,3504,3916],[1,2,4,5,6,8
,9,10,11,12,13,19,20,22,23,24,28,29,31,32,34,35,38,40,41,42,44,46,49,50,51,57,
65,71,73,74,75,76,77,78,82,87,88,96,100,101,102,107,108,116,121,140,143,144,
148,153,155,157,160,162,163,168,172,173,174,177,178,179,180,189,190,197,199,
201,206,207,218,219,221,236,237,238,239,240,241,257,258,259,260,261,262,263,
280,281,282,316,331,332,346,347,352,358,362,367,379,384,386,387,388,409,446,
448,450,451,452,454,464,474,479,482,483,484,485,494,501,503,505,508,513,520,
521,522,524,528,536,556,557,559,560,562,565,566,569,573,576,577,586,593,597,
607,608,611,613,616,618,619,622,625,671,687,688,689,690,716,717,718,742,743,
769,778,799,800,809,813,821,865,873,883,891,892,906,927,946,947,1050,1067,1070
,1080,1081,1082,1084,1111,1125,1126,1156,1167,1168,1169,1183,1185,1191,1192,
1202,1203,1206,1207,1208,1217,1225,1226,1231,1232,1233,1243,1246,1254,1263,
1264,1270,1271,1275,1276,1280,1288,1388,1389,1435,1446,1447,1456,1462,1513,
1518,1564,1571,1579,1580,1586,1593,1639,1644,1647,1689,1832,1833,1882,1907,
1922,1925,1944,1957,1958,1973,1981,1988,1990,2009,2017,2032,2036,2044,2052,
2060,2256,2312,2331,2332,2333,2394,2397,2409,2420,2455,2591,2616,2627,2629,
2631,2632,2673,2679,2681,2703,2706,3023,3048,3253,3281,3543,3546,3548,3917],[1
,2,3,4,5,6,8,10,11,12,13,14,15,16,17,19,21,23,24,25,28,30,32,40,41,42,43,44,45
,46,49,51,55,57,62,63,64,65,66,67,68,69,70,77,78,79,82,85,86,87,89,90,91,92,96
,99,100,102,103,104,105,106,107,110,113,114,121,140,143,144,148,155,157,158,
159,160,162,163,164,165,168,169,170,171,173,175,176,179,180,181,201,202,205,
207,219,220,227,228,233,239,240,246,249,257,259,263,264,265,266,268,271,273,
274,279,284,300,301,302,303,304,305,316,326,327,328,329,330,336,337,343,344,
384,387,391,408,409,476,482,490,491,492,494,495,501,503,504,505,506,508,509,
510,513,520,521,523,524,527,533,536,537,538,539,540,541,542,543,544,545,546,
556,557,565,566,571,573,577,578,585,587,588,589,594,598,601,605,606,611,612,
614,616,618,620,622,624,665,671,684,685,686,689,697,698,699,718,722,756,759,
768,785,787,829,865,873,916,933,935,937,947,1048,1049,1050,1052,1055,1066,1121
,1122,1123,1124,1125,1129,1136,1148,1157,1158,1159,1172,1176,1178,1179,1180,
1185,1187,1196,1197,1199,1204,1205,1206,1217,1219,1226,1228,1229,1236,1237,
1244,1247,1250,1255,1260,1262,1264,1267,1268,1269,1271,1273,1274,1282,1389,
1394,1408,1431,1488,1586,1587,1593,1603,1604,1643,1644,1647,1676,1689,1832,
1833,1843,1870,1907,1923,1927,1959,1960,1963,1966,1967,1974,1979,1987,1988,
1990,1993,1997,2010,2039,2054,2059,2245,2310,2414,2415,2416,2420,2423,2466,
2615,2626,2627,2629,2630,2645,2668,2684,2695,2698,3010,3023,3256,3259,3543,
3545,3547,3918],[1,2,3,4,5,6,8,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,28
,30,31,32,34,35,38,40,41,42,44,45,46,49,51,53,54,55,56,57,62,63,64,65,66,67,68
,69,70,71,74,76,77,78,80,81,82,85,86,87,88,89,90,91,92,93,96,99,100,101,102,
103,104,105,108,109,110,113,114,116,121,140,143,144,148,155,157,158,160,161,
162,165,169,170,171,173,174,175,176,177,178,179,180,181,186,190,195,197,199,
201,202,205,206,207,220,228,230,233,257,259,260,261,264,265,266,267,270,271,
273,274,276,277,278,280,282,285,288,289,290,300,301,302,303,304,305,316,326,
327,328,329,330,336,340,343,344,346,350,352,356,357,358,361,362,363,367,379,
387,388,390,391,409,448,452,454,464,475,478,479,483,485,490,491,492,493,494,
495,501,503,504,505,508,509,510,513,520,521,524,525,530,531,533,534,535,538,
539,540,541,542,543,544,545,546,548,556,559,560,565,566,571,572,573,576,577,
578,579,583,584,585,586,587,588,594,599,600,601,605,606,607,608,611,612,613,
614,618,621,622,624,625,626,671,684,685,686,740,755,756,758,766,768,769,772,
773,774,778,783,813,814,815,816,821,828,829,835,837,844,865,873,886,889,891,
903,927,935,936,1049,1055,1074,1077,1081,1082,1111,1121,1122,1129,1132,1136,
1147,1149,1153,1154,1157,1158,1159,1167,1170,1171,1174,1176,1177,1179,1180,
1191,1194,1196,1197,1198,1200,1203,1204,1205,1207,1214,1217,1218,1220,1224,
1226,1234,1236,1240,1244,1246,1247,1249,1251,1255,1267,1268,1269,1270,1271,
1272,1273,1274,1275,1276,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,
1289,1408,1413,1435,1436,1437,1471,1493,1503,1513,1518,1565,1571,1587,1593,
1603,1604,1622,1644,1647,1689,1832,1833,1885,1907,1966,1967,1968,1969,1973,
1993,1994,1998,2003,2010,2012,2014,2015,2016,2017,2018,2032,2037,2038,2039,
2040,2048,2057,2058,2059,2060,2061,2066,2070,2071,2072,2073,2074,2282,2317,
2320,2321,2331,2392,2409,2416,2423,2455,2466,2467,2626,2631,2632,2645,2676,
2706,2707,2711,2712,2714,2720,2723,2728,2729,3023,3038,3114,3271,3293,3544,
3545,3548,3919],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,19,21,22,23,24,25,28,
29,30,31,32,33,35,37,38,40,41,42,44,45,46,49,50,51,52,54,55,57,62,63,64,65,66,
67,68,69,70,73,74,75,76,77,78,79,80,81,82,85,86,89,90,91,96,99,100,101,102,103
,104,105,108,109,110,113,114,121,140,143,144,148,153,155,157,160,162,165,169,
170,171,172,173,174,175,176,180,181,184,185,186,187,189,192,201,202,206,207,
218,220,228,229,232,233,234,236,237,238,242,243,244,245,247,254,255,257,258,
259,264,265,266,273,274,281,283,284,285,286,287,290,300,301,302,303,304,305,
316,326,327,328,329,330,336,340,343,344,372,379,386,387,388,391,409,446,448,
450,451,452,453,458,459,460,464,469,472,476,478,484,485,490,492,495,501,503,
504,505,508,509,510,513,520,521,522,524,528,529,531,532,533,538,539,540,542,
543,544,545,546,549,556,565,566,569,573,576,577,584,587,588,593,594,600,601,
606,607,611,612,614,615,618,619,622,624,667,671,684,685,686,687,688,691,692,
693,694,695,696,700,701,716,717,719,720,721,723,724,756,767,768,784,788,796,
829,865,873,885,887,889,906,923,935,946,1049,1055,1067,1070,1073,1074,1075,
1076,1080,1084,1090,1091,1092,1093,1094,1097,1114,1121,1122,1127,1128,1129,
1130,1136,1146,1152,1154,1157,1158,1159,1168,1179,1180,1186,1188,1190,1196,
1197,1204,1205,1209,1213,1217,1225,1226,1231,1232,1233,1236,1242,1244,1247,
1252,1255,1258,1259,1261,1265,1267,1268,1269,1271,1273,1274,1282,1388,1390,
1391,1392,1393,1395,1408,1427,1432,1487,1489,1516,1518,1532,1533,1564,1571,
1579,1580,1587,1593,1603,1604,1625,1644,1647,1689,1832,1833,1871,1887,1899,
1907,1922,1925,1926,1928,1957,1958,1961,1962,1965,1966,1967,1975,1978,1980,
1982,1984,1989,1991,1992,1993,2008,2010,2039,2053,2055,2056,2059,2246,2316,
2319,2320,2332,2335,2342,2343,2344,2394,2397,2406,2411,2416,2423,2466,2591,
2592,2593,2616,2626,2628,2645,2666,2667,2685,2686,2694,2696,2697,2699,3023,
3040,3051,3257,3260,3542,3545,3546,3920],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,
17,19,20,21,22,23,24,25,28,32,35,40,41,44,50,51,52,53,54,55,56,57,62,63,64,65,
67,68,69,70,71,73,74,75,76,77,79,80,81,87,88,89,92,93,94,95,100,101,103,104,
105,106,107,108,109,110,111,112,118,139,141,144,153,155,160,162,168,173,174,
179,180,188,190,199,201,206,207,218,221,228,229,230,231,232,233,234,237,239,
240,241,242,243,244,246,247,248,249,250,251,252,253,258,260,261,262,263,265,
267,268,269,270,271,272,275,276,277,278,279,280,281,282,283,284,285,286,287,
288,289,290,295,296,299,331,333,334,335,336,337,338,340,347,349,351,369,381,
405,445,449,457,460,479,484,485,494,500,502,507,510,521,522,528,557,559,560,
569,576,597,607,608,613,616,618,619,667,668,690,695,702,703,704,707,710,735,
737,739,741,742,752,755,757,758,759,760,761,762,766,767,775,776,777,785,786,
787,788,789,790,791,792,794,795,799,801,803,805,807,808,857,919,930,955,1039,
1041,1047,1051,1058,1069,1071,1072,1078,1083,1089,1099,1104,1115,1117,1126,
1139,1141,1183,1185,1192,1203,1208,1225,1232,1246,1254,1263,1264,1417,1419,
1424,1433,1466,1467,1475,1478,1479,1490,1497,1499,1504,1505,1515,1562,1584,
1642,1648,1824,1840,1841,1852,1855,1858,1865,1874,1877,1888,1889,1902,1908,
1910,1934,1939,1940,1948,1955,1970,1971,1981,2044,2290,2294,2387,2398,2400,
2408,2418,2610,2614,2622,2637,2640,2643,2646,2647,2649,2677,2678,2687,2691,
2966,2984,2992,3061,3064,3275,3288,3523,3536,3537,3921],[1,2,3,4,5,6,8,10,11,
12,13,14,15,16,17,19,20,21,22,23,24,25,30,31,32,33,34,35,37,38,40,41,42,43,44,
46,49,51,54,55,56,57,62,65,69,70,71,74,76,77,78,79,80,81,82,86,87,88,89,92,96,
100,102,106,107,108,109,110,113,116,121,140,143,144,148,155,157,158,160,162,
163,164,170,171,174,175,176,178,180,181,184,187,190,191,192,194,195,197,199,
201,202,205,207,219,231,234,239,240,242,243,248,254,255,257,259,260,261,263,
269,272,278,279,280,284,287,288,290,303,316,338,339,346,351,352,358,362,367,
372,379,408,409,448,452,453,454,458,459,460,464,469,472,475,476,477,479,483,
485,492,494,495,501,503,505,506,508,513,520,521,523,524,531,532,535,538,545,
546,550,559,564,565,566,571,573,577,578,583,589,599,605,608,611,613,614,615,
618,620,622,625,671,689,693,696,704,718,719,721,762,765,769,778,802,803,811,
813,821,865,873,916,922,923,926,927,1050,1052,1066,1075,1076,1077,1082,1094,
1095,1096,1097,1111,1114,1128,1131,1149,1170,1173,1178,1184,1186,1190,1191,
1195,1203,1205,1207,1209,1210,1212,1217,1219,1226,1228,1229,1238,1246,1248,
1257,1258,1265,1270,1271,1275,1276,1280,1288,1389,1392,1435,1448,1449,1458,
1463,1513,1516,1518,1532,1533,1555,1643,1644,1647,1689,1832,1833,1886,1898,
1907,1923,1945,1959,1973,1976,1982,1989,1991,1992,1995,2017,2032,2034,2041,
2051,2060,2259,2310,2404,2405,2406,2409,2411,2455,2592,2593,2615,2628,2629,
2630,2631,2632,2672,2680,2682,2704,2706,2991,3023,3254,3255,3282,3542,3547,
3548,3922],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,28,
32,40,41,44,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,73,
74,75,76,77,79,80,81,82,87,89,90,91,92,94,95,100,101,103,104,105,106,107,108,
109,110,111,112,118,139,141,144,153,155,156,157,160,162,168,173,174,179,180,
190,199,201,206,207,218,221,222,223,224,225,226,228,229,230,231,232,233,234,
236,237,242,243,244,245,247,250,251,257,258,261,262,263,264,265,266,268,269,
270,271,272,273,274,275,278,279,281,283,284,285,286,287,290,291,292,293,294,
295,296,297,298,299,331,333,334,335,336,337,338,340,381,405,445,449,474,482,
483,484,494,500,502,507,510,521,522,524,528,557,559,560,569,576,577,613,616,
618,619,667,668,669,670,688,694,695,696,700,701,707,708,709,710,711,735,737,
742,750,751,752,753,754,756,757,758,759,760,761,762,767,784,788,789,791,792,
793,794,857,911,930,955,1039,1041,1042,1043,1045,1047,1051,1058,1067,1069,1071
,1072,1078,1083,1089,1115,1117,1126,1139,1141,1183,1202,1206,1207,1208,1217,
1225,1231,1232,1387,1415,1417,1418,1419,1422,1423,1424,1425,1426,1432,1562,
1584,1642,1658,1840,1841,1844,1851,1855,1856,1857,1865,1874,1877,1888,1889,
1902,1908,1910,1925,1944,1948,1955,1956,1970,1971,2242,2294,2307,2387,2398,
2400,2418,2594,2607,2610,2614,2638,2640,2642,2643,2688,2689,2690,2691,2984,
2992,3053,3070,3250,3252,3502,3536,3537,3923],[1,2,3,4,5,6,8,9,11,12,13,14,15,
16,17,18,21,24,25,40,41,42,44,45,46,49,50,52,54,55,57,58,59,60,61,64,66,67,68,
69,70,72,78,82,83,84,85,86,89,90,91,94,95,102,105,111,113,114,115,121,139,141,
144,145,148,152,153,156,157,160,162,165,166,207,218,220,222,223,224,225,226,
229,232,233,234,235,238,254,255,256,259,274,296,297,298,300,301,302,303,304,
305,306,307,308,309,310,311,312,313,314,315,333,341,342,343,409,500,502,503,
507,509,510,511,513,519,520,522,524,526,573,577,622,666,667,669,670,687,691,
692,693,712,713,714,715,736,744,745,746,747,748,749,753,768,796,797,798,866,
867,873,1039,1042,1043,1045,1047,1051,1054,1055,1058,1059,1064,1065,1067,1141,
1226,1233,1387,1416,1420,1427,1428,1429,1430,1646,1647,1838,1839,1841,1844,
1845,1846,1847,1850,1902,1906,1909,1922,1949,1956,2241,2300,2302,2350,2594,
2606,2607,2639,2644,2715,2716,2987,3082,3249,3258,3272,3521,3924],[1,2,4,5,6,8
,9,10,11,12,13,19,20,22,23,24,29,31,35,40,41,42,43,44,46,49,50,51,57,65,71,73,
74,75,76,77,78,82,87,88,96,100,101,102,107,108,116,121,140,143,144,148,153,155
,157,158,160,161,162,163,164,172,177,178,189,205,206,207,218,219,221,236,237,
238,239,240,241,257,258,259,260,261,262,263,280,281,282,316,331,332,346,347,
352,358,362,386,388,390,408,409,446,448,450,451,452,501,503,505,506,508,513,
520,521,522,523,524,525,562,565,566,569,570,571,572,573,576,577,578,579,611,
618,619,620,621,622,626,671,687,688,689,690,716,717,718,742,743,769,778,799,
800,809,813,821,865,873,916,931,936,938,946,1050,1052,1066,1067,1068,1070,1080
,1081,1082,1084,1137,1138,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,
1228,1229,1230,1231,1232,1233,1234,1235,1271,1272,1275,1279,1287,1388,1389,
1435,1446,1447,1456,1462,1564,1565,1571,1579,1580,1643,1644,1647,1675,1689,
1832,1833,1882,1907,1920,1921,1922,1923,1924,1925,1957,1958,1959,1969,2018,
2022,2023,2026,2040,2057,2256,2310,2390,2391,2392,2394,2397,2467,2591,2615,
2616,2629,2630,2631,2676,2700,2701,2705,2710,3017,3023,3253,3297,3544,3546,
3547,3925],[1,2,3,4,5,6,8,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,28,30,
31,32,33,35,37,38,40,41,42,44,46,49,51,54,55,56,57,62,65,69,70,71,74,76,77,78,
79,80,81,82,86,87,88,89,92,96,100,102,106,107,108,109,110,113,116,121,140,143,
144,148,155,157,158,160,161,162,163,168,169,170,171,173,174,175,176,178,179,
180,181,184,187,190,192,195,201,202,205,206,207,219,231,234,239,240,242,243,
248,254,255,257,259,260,261,263,269,272,278,279,280,284,287,288,290,303,316,
338,339,346,351,352,358,362,372,379,384,387,388,390,409,448,452,453,458,459,
460,464,469,472,476,477,478,482,485,491,492,494,495,501,503,505,508,513,520,
521,524,525,531,532,533,534,535,536,537,545,546,550,556,557,560,565,566,571,
572,573,576,577,578,579,584,585,589,593,597,598,599,600,611,614,615,616,618,
621,622,626,671,689,693,696,704,718,719,721,762,765,769,778,802,803,811,813,
821,865,873,885,888,892,903,923,936,947,1050,1075,1076,1077,1082,1094,1097,
1114,1125,1128,1133,1148,1150,1152,1153,1169,1172,1173,1174,1185,1186,1189,
1190,1193,1201,1205,1206,1209,1211,1217,1218,1220,1224,1226,1234,1239,1241,
1253,1258,1264,1265,1271,1272,1275,1279,1287,1389,1392,1435,1448,1449,1458,
1463,1516,1518,1532,1533,1565,1571,1586,1593,1624,1644,1647,1689,1832,1833,
1886,1907,1969,1982,1986,1988,1989,1990,1991,1992,2001,2002,2018,2024,2040,
2049,2050,2057,2259,2318,2319,2321,2333,2392,2406,2411,2420,2467,2592,2593,
2627,2628,2629,2631,2674,2675,2676,2702,2713,3023,3039,3254,3292,3542,3543,
3544,3926],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,28,29,
30,32,35,40,41,44,50,51,52,53,54,55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,
76,77,79,80,81,82,87,88,89,90,91,92,93,100,101,103,104,105,106,107,108,109,110
,118,139,141,153,155,156,157,158,159,160,161,162,168,169,170,171,173,174,175,
176,179,180,181,188,189,190,195,199,201,202,204,205,206,207,208,218,219,221,
227,228,229,230,231,232,233,234,236,237,239,240,241,242,243,244,245,246,247,
248,249,257,258,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,
275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,331,332,336,
337,338,339,340,346,347,350,351,366,369,381,383,405,445,447,449,457,474,475,
476,477,478,479,482,483,484,485,490,491,492,493,494,497,498,500,502,507,521,
522,523,524,525,528,529,530,531,532,533,534,535,536,537,538,539,540,541,543,
544,545,546,551,556,557,559,560,561,569,570,571,572,574,576,577,578,579,583,
584,585,586,587,588,589,593,595,597,598,599,600,605,606,607,608,609,612,613,
615,616,618,619,620,621,665,667,668,688,689,690,694,695,696,697,698,699,700,
701,702,703,704,734,737,740,741,742,743,755,756,757,758,759,760,761,762,763,
764,765,766,767,769,772,773,774,784,785,786,787,788,799,800,801,802,803,804,
805,806,809,810,811,812,857,876,880,881,884,895,911,915,918,919,924,930,942,
945,955,958,961,1039,1041,1045,1046,1047,1051,1066,1067,1068,1069,1071,1072,
1078,1083,1089,1098,1103,1104,1115,1117,1119,1122,1123,1124,1125,1126,1127,
1128,1129,1130,1131,1132,1133,1137,1138,1139,1142,1145,1146,1147,1148,1149,
1150,1151,1152,1153,1154,1155,1156,1167,1168,1169,1170,1171,1172,1173,1174,
1175,1176,1177,1178,1179,1180,1181,1183,1184,1185,1186,1187,1188,1189,1191,
1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1206,1207,1208,
1209,1210,1211,1212,1213,1214,1217,1218,1219,1220,1221,1222,1223,1224,1225,
1228,1229,1230,1231,1232,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,
1246,1247,1248,1249,1250,1251,1252,1253,1254,1257,1258,1259,1260,1261,1262,
1263,1264,1413,1414,1417,1431,1432,1433,1456,1457,1458,1459,1460,1461,1467,
1468,1492,1512,1515,1552,1554,1562,1563,1584,1585,1613,1617,1626,1627,1628,
1629,1642,1648,1654,1658,1665,1669,1672,1678,1680,1682,1684,1685,1691,1699,
1704,1708,1840,1841,1851,1852,1855,1856,1857,1858,1866,1867,1870,1871,1872,
1874,1875,1876,1877,1888,1889,1890,1891,1910,1913,1914,1918,1920,1921,1923,
1924,1925,1927,1928,1929,1930,1931,1932,1933,1934,1939,1942,1943,1944,1945,
1946,1948,1950,1955,1960,1961,1962,1963,1964,1968,1970,1974,1975,1976,1977,
1978,1979,1981,1982,1983,1984,1985,1986,1987,1988,1993,1994,1995,1996,1997,
1998,1999,2000,2001,2002,2003,2004,2005,2006,2007,2008,2009,2012,2013,2014,
2015,2016,2017,2018,2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2033,
2034,2035,2036,2041,2042,2043,2044,2046,2047,2049,2050,2051,2052,2274,2307,
2309,2311,2313,2314,2315,2330,2334,2352,2354,2370,2373,2387,2389,2393,2398,
2400,2403,2407,2408,2413,2417,2418,2425,2427,2430,2433,2436,2444,2446,2447,
2465,2609,2610,2640,2647,2650,2659,2660,2661,2662,2664,2665,2667,2668,2669,
2670,2681,2682,2683,2687,2688,2702,2710,2714,2718,2719,2721,2722,2724,2725,
2727,2730,2989,2990,3007,3008,3014,3015,3030,3031,3032,3033,3044,3045,3046,
3047,3052,3053,3056,3058,3061,3064,3065,3066,3070,3071,3073,3074,3076,3078,
3079,3083,3085,3089,3090,3092,3095,3103,3283,3290,3527,3528,3550,3554,3555,
3556,3558,3560,3564,3565,3568,3571,3572,3576,3579,3927],[1,2,3,4,5,6,8,9,10,11
,12,13,14,15,16,17,19,20,21,22,23,24,25,28,29,30,31,32,33,34,35,37,38,40,41,42
,43,44,45,46,50,51,52,53,54,55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,76,77
,79,80,81,82,87,88,89,90,91,92,93,100,101,103,104,105,106,107,108,109,110,121,
140,143,153,154,155,156,157,158,159,160,161,162,163,164,165,166,168,169,170,
171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,
190,191,192,193,194,195,197,199,200,201,202,203,204,205,206,207,208,209,210,
218,219,221,227,228,229,230,231,232,233,234,236,237,239,240,241,242,243,244,
245,246,247,248,249,257,258,260,261,262,263,264,265,266,267,268,269,270,271,
272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,
331,332,336,337,338,339,340,346,347,350,351,367,372,379,384,386,387,388,390,
391,408,409,446,448,452,453,454,458,464,474,475,476,477,478,479,480,481,482,
483,484,485,486,487,488,489,490,491,492,493,494,496,497,498,499,501,504,505,
506,508,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,
538,539,540,541,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,
558,559,560,561,562,564,569,570,571,572,574,575,576,577,578,579,580,581,582,
583,584,585,586,587,588,589,590,591,592,593,595,596,597,598,599,600,602,603,
604,605,606,607,608,609,610,612,613,615,616,617,618,619,620,621,623,665,667,
668,688,689,690,694,695,696,697,698,699,700,701,702,703,704,734,737,740,741,
742,743,755,756,757,758,759,760,761,762,763,764,765,766,767,769,772,773,774,
784,785,786,787,788,799,800,801,802,803,804,805,806,809,810,811,812,865,883,
885,886,887,888,889,891,892,903,905,906,914,916,921,922,923,926,927,931,933,
935,936,937,938,940,944,946,947,951,953,960,962,1040,1044,1048,1049,1050,1052,
1053,1066,1067,1068,1070,1073,1074,1075,1076,1077,1079,1080,1081,1082,1085,
1086,1095,1096,1097,1105,1111,1116,1118,1120,1122,1123,1124,1125,1126,1127,
1128,1129,1130,1131,1132,1133,1134,1135,1137,1138,1140,1143,1144,1145,1146,
1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1160,1161,1162,1163,1164,
1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,
1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1191,1192,1193,1194,1195,
1196,1197,1198,1199,1200,1201,1202,1203,1206,1207,1208,1209,1210,1211,1212,
1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1227,1228,
1229,1230,1231,1232,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1245,
1246,1247,1248,1249,1250,1251,1252,1253,1254,1256,1257,1258,1259,1260,1261,
1262,1263,1264,1413,1414,1417,1431,1432,1433,1456,1457,1458,1459,1460,1461,
1467,1468,1492,1513,1516,1518,1553,1555,1564,1565,1571,1586,1587,1593,1615,
1619,1620,1621,1622,1624,1625,1634,1636,1637,1638,1639,1643,1644,1649,1650,
1651,1656,1660,1662,1663,1664,1670,1673,1675,1676,1679,1681,1683,1687,1688,
1690,1692,1700,1701,1705,1706,1710,1711,1842,1843,1853,1854,1859,1860,1861,
1862,1863,1864,1868,1869,1870,1871,1872,1873,1878,1879,1880,1881,1882,1883,
1884,1885,1886,1887,1896,1898,1911,1912,1915,1916,1917,1919,1920,1921,1923,
1924,1925,1927,1928,1929,1930,1931,1932,1933,1935,1936,1937,1938,1941,1943,
1944,1945,1946,1947,1951,1952,1953,1954,1960,1961,1962,1963,1964,1968,1972,
1974,1975,1976,1977,1978,1979,1981,1982,1983,1984,1985,1986,1987,1988,1993,
1994,1995,1996,1997,1998,1999,2000,2001,2002,2003,2004,2005,2006,2007,2008,
2009,2011,2012,2013,2014,2015,2016,2017,2018,2022,2023,2024,2025,2026,2027,
2028,2029,2030,2031,2033,2034,2035,2036,2041,2042,2043,2044,2046,2047,2049,
2050,2051,2052,2274,2308,2310,2312,2316,2317,2318,2319,2320,2321,2331,2332,
2333,2336,2356,2357,2371,2372,2388,2390,2391,2392,2394,2399,2401,2402,2404,
2405,2406,2409,2414,2415,2416,2419,2420,2424,2426,2431,2434,2437,2442,2443,
2448,2449,2450,2454,2463,2464,2611,2612,2641,2648,2651,2652,2653,2654,2655,
2656,2657,2658,2663,2664,2665,2667,2668,2669,2671,2681,2682,2683,2692,2693,
2702,2710,2714,2718,2719,2721,2722,2724,2725,2727,2730,2988,2991,3009,3010,
3016,3017,3029,3034,3035,3036,3037,3038,3039,3040,3041,3042,3043,3048,3054,
3055,3057,3059,3060,3062,3063,3067,3068,3069,3072,3075,3077,3080,3081,3084,
3086,3087,3088,3091,3094,3104,3283,3291,3526,3529,3551,3552,3553,3557,3559,
3561,3566,3567,3569,3573,3574,3577,3578,3928],[1,2,3,4,5,6,8,9,10,11,12,13,14,
15,16,17,19,21,22,23,24,25,28,29,30,31,32,33,35,37,38,40,41,42,44,45,46,49,50,
51,52,54,55,57,62,63,64,65,66,67,68,69,70,73,74,75,76,77,78,79,80,81,82,85,86,
89,90,91,96,99,100,101,102,103,104,105,108,109,110,113,114,121,141,144,145,148
,153,155,157,160,162,165,169,170,171,172,173,174,175,176,180,181,184,185,186,
187,189,192,201,202,206,207,218,220,228,229,232,233,234,236,237,238,242,243,
244,245,247,254,255,257,258,259,264,265,266,273,274,281,283,284,285,286,287,
290,300,301,302,303,304,305,316,326,327,328,329,330,336,340,343,344,372,379,
386,387,388,391,409,447,450,451,457,459,460,469,471,472,476,478,484,485,490,
492,495,503,507,509,510,513,520,521,522,524,528,529,531,532,533,538,539,540,
542,543,544,545,546,549,556,569,573,576,577,584,587,588,593,594,600,601,606,
607,611,612,614,615,618,619,622,624,667,671,684,685,686,687,688,691,692,693,
694,695,696,700,701,716,717,719,720,721,723,724,756,767,768,784,788,796,829,
867,873,885,887,889,906,923,935,946,1055,1058,1059,1067,1084,1090,1091,1092,
1093,1094,1098,1114,1121,1122,1127,1128,1129,1130,1136,1146,1152,1154,1157,
1158,1159,1168,1179,1180,1186,1188,1190,1196,1197,1204,1205,1209,1213,1217,
1225,1226,1231,1232,1233,1236,1242,1244,1247,1252,1255,1258,1259,1261,1265,
1267,1268,1269,1271,1273,1274,1388,1390,1391,1392,1393,1395,1408,1427,1432,
1487,1489,1527,1532,1533,1577,1579,1580,1602,1603,1604,1625,1647,1817,1818,
1819,1824,1825,1829,1845,1846,1847,1871,1899,1902,1907,1922,1925,1926,1928,
1957,1958,1961,1962,1965,1966,1967,1975,1978,1980,1982,1984,1989,1991,1992,
1993,2008,2010,2039,2053,2055,2056,2059,2246,2335,2342,2343,2344,2346,2350,
2397,2411,2423,2595,2596,2597,2598,2605,2616,2617,2623,2626,2628,2666,2667,
2685,2686,2694,2696,2697,2699,2715,3011,3012,3018,3019,3021,3051,3082,3093,
3257,3279,3530,3531,3562,3563,3570,3575,3580,3929],[1,2,4,5,9,12,13,22,24,26,
27,28,32,40,50,100,101,130,132,134,136,139,173,199,206,215,237,414,415,418,420
,428,429,500,586,627,650,656,660,971,986,987,1115,1290,1291,1343,1351,1356,
1361,1366,1721,2077,2079,2080,2179,2185,2208,2743,2880,2895,3115,3584,3930],[1
,2,4,6,10,13,19,23,24,26,27,29,35,44,65,100,107,130,132,134,136,140,189,200,
209,216,240,415,416,418,423,429,433,505,592,627,651,658,661,984,986,994,1116,
1290,1291,1344,1352,1357,1364,1371,1726,2077,2079,2080,2180,2187,2213,2743,
2882,2897,3116,3585,3931],[1,2,4,5,9,10,12,13,19,22,23,26,27,28,32,40,41,50,65
,73,75,76,77,108,130,132,134,136,139,160,168,173,179,180,215,281,414,416,420,
423,428,429,433,436,438,445,449,500,557,627,650,652,656,660,663,971,984,997,
1007,1011,1017,1021,1022,1078,1290,1291,1343,1356,1366,1370,1374,1376,1378,
1778,2080,2082,2083,2166,2168,2179,2185,2197,2202,2216,2749,2888,2922,3115,
3584,3586,3590,3932],[1,2,3,4,6,10,12,13,15,16,17,19,22,23,26,27,29,31,33,35,
42,44,45,55,65,74,79,80,81,108,130,131,132,134,135,136,140,165,172,184,185,186
,187,189,216,287,414,416,423,424,425,429,430,431,433,436,438,448,453,505,549,
627,651,653,655,658,659,661,664,978,984,997,1006,1011,1016,1019,1020,1076,1290
,1291,1344,1357,1367,1368,1369,1371,1375,1377,1380,1777,2080,2082,2083,2167,
2169,2180,2187,2198,2204,2217,2749,2890,2919,3116,3585,3587,3589,3933],[1,2,4,
5,9,12,13,22,23,26,27,28,32,40,50,107,108,130,132,134,136,139,173,201,206,215,
331,414,416,420,428,429,436,438,500,593,627,650,656,660,971,994,997,1011,1139,
1290,1291,1343,1353,1356,1361,1366,1752,2080,2082,2083,2179,2185,2211,2749,
2902,2929,3115,3584,3934],[1,2,4,6,10,13,19,22,23,26,27,29,35,44,65,108,110,
130,132,134,136,140,189,204,208,216,339,414,416,423,429,433,436,438,505,595,
627,651,658,661,984,989,997,1011,1144,1290,1291,1344,1354,1357,1362,1371,1754,
2080,2082,2083,2180,2187,2212,2749,2903,2931,3116,3585,3935],[1,2,3,4,5,13,21,
24,25,26,27,30,40,41,85,91,99,100,114,130,132,133,134,136,137,160,181,202,207,
215,217,328,415,418,419,429,434,490,594,601,618,624,627,650,652,654,657,662,
663,986,998,1273,1290,1291,1292,1355,1363,1365,1372,1378,1712,2077,2078,2079,
2080,2081,2214,2225,2468,2469,2470,2743,2744,2746,2747,2748,3117,3118,3119,
3122,3123,3302,3588,3591,3592,3593,3596,3936],[1,2,4,5,13,24,26,27,40,41,100,
116,130,132,134,136,160,207,215,217,352,415,418,429,618,626,627,650,652,654,
663,986,1272,1290,1291,1363,1365,1378,1712,2077,2079,2080,2225,2468,2469,2743,
2745,3117,3118,3119,3300,3588,3594,3937],[1,2,4,5,13,22,23,24,26,27,40,41,100,
108,130,132,134,136,160,199,201,207,215,217,346,414,415,416,418,429,436,438,
613,618,627,650,652,654,663,986,997,1011,1191,1290,1291,1351,1353,1363,1365,
1373,1378,1381,1712,1782,2077,2079,2080,2082,2083,2220,2222,2225,2468,2469,
2743,2749,2934,3117,3118,3119,3120,3121,3301,3588,3595,3938],[1,2,5,6,8,9,26,
28,44,48,121,130,139,145,156,214,216,387,439,440,442,643,651,847,866,1033,1037
,1343,1383,1511,1797,1799,1801,2084,2238,2569,2750,2946,3303,3939],[1,2,6,7,10
,26,29,44,48,124,130,140,146,159,214,216,393,439,441,443,644,651,847,869,1033,
1036,1344,1384,1511,1798,1800,1802,2084,2239,2570,2750,2945,3304,3940],[1,2,3,
4,9,10,11,12,13,14,15,16,17,19,21,22,23,24,25,26,49,50,51,52,54,55,57,62,63,64
,65,66,67,68,69,70,73,74,75,76,77,78,79,80,81,82,85,86,89,90,91,96,99,100,101,
102,103,104,105,106,107,108,109,110,111,112,113,114,117,130,131,132,135,136,
218,220,228,229,232,233,234,236,237,238,240,242,243,244,245,247,249,251,252,
254,255,257,258,259,264,265,266,273,274,281,283,284,285,286,287,290,300,301,
302,303,304,305,316,326,327,328,329,330,331,332,333,334,335,336,337,338,339,
340,343,344,346,347,348,349,350,351,353,354,355,414,415,416,417,420,421,422,
423,424,425,426,427,428,429,430,431,432,433,435,436,437,438,667,671,684,685,
686,687,688,691,692,693,694,695,696,700,701,716,717,719,720,721,723,724,727,
730,734,735,737,738,739,740,741,756,767,768,776,777,779,780,784,787,788,790,
791,792,794,796,809,810,811,812,824,825,829,836,840,846,967,968,969,970,971,
972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,
991,992,993,994,995,996,997,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,
1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,
1024,1025,1026,1388,1390,1391,1392,1393,1395,1408,1419,1427,1432,1450,1453,
1469,1472,1474,1475,1476,1478,1481,1487,1489,1491,1492,1495,1502,1714,1715,
1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1731,
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,
1777,1778,1779,1780,1781,1782,1783,1784,1785,1786,1787,1788,1789,2243,2246,
2265,2266,2272,2277,2279,2471,2472,2473,2474,2475,2476,2477,2478,2479,2482,
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,
2513,2514,2515,2516,2517,2518,2519,2520,2522,2523,2524,2525,2526,2527,2528,
2529,2530,2531,2953,3124,3127,3128,3129,3130,3131,3132,3133,3134,3135,3136,
3137,3138,3139,3140,3141,3142,3143,3144,3145,3146,3147,3148,3149,3151,3597,
3598,3599,3600,3601,3602,3603,3941],[1,2,4,5,6,7,8,9,10,12,13,19,20,28,29,32,
35,40,41,43,44,50,65,71,118,120,121,122,123,124,125,126,139,141,142,145,153,
154,155,156,160,162,168,173,174,179,180,188,189,190,221,366,369,381,383,386,
387,390,393,405,407,408,500,507,522,528,551,557,559,560,629,630,631,632,857,
858,859,860,861,862,863,864,866,867,868,876,880,881,895,911,913,914,918,919,
930,938,942,944,945,1041,1126,1293,1294,1296,1297,1317,1319,1552,1584,1592,
1601,1602,1626,1627,1628,1642,1669,1673,1790,2085,2086,2088,2092,2103,2104,
2105,2106,2107,2108,2120,2121,2136,2354,2418,2535,2765,2766,2770,2772,2777,
2845,2849,3157,3163,3306,3347,3617,3942],[1,2,3,4,5,6,7,8,9,12,13,15,16,17,21,
28,29,30,31,32,33,34,35,37,40,41,42,43,44,45,46,50,52,55,68,70,118,120,121,122
,123,124,125,126,139,141,142,145,153,154,156,160,162,165,166,170,172,173,174,
175,176,181,182,183,184,185,186,187,188,189,191,193,232,366,367,369,372,380,
381,382,383,384,385,386,387,388,389,390,391,392,393,399,400,401,402,405,407,
408,409,500,502,507,511,522,526,528,529,532,544,546,549,551,552,553,554,555,
558,629,630,631,632,857,858,859,860,861,862,863,864,866,867,868,877,878,879,
883,886,887,888,894,905,911,913,914,918,919,921,922,933,934,938,939,940,941,
942,943,944,945,946,1051,1127,1134,1293,1294,1295,1296,1297,1300,1303,1304,
1317,1318,1319,1320,1321,1552,1553,1584,1585,1588,1589,1592,1596,1597,1598,
1599,1601,1602,1620,1630,1632,1633,1636,1637,1638,1642,1646,1668,1669,1670,
1671,1673,1790,2085,2087,2090,2091,2095,2103,2104,2105,2106,2107,2108,2120,
2121,2122,2123,2139,2143,2355,2356,2417,2421,2535,2537,2767,2768,2769,2770,
2772,2773,2774,2777,2778,2843,2845,2846,2847,2849,3157,3165,3307,3348,3350,
3617,3618,3943],[1,2,4,5,6,8,9,10,12,13,19,20,28,29,32,35,40,41,43,44,50,65,71
,118,119,120,121,128,143,153,154,156,160,162,168,173,174,179,180,188,189,190,
221,366,369,381,383,386,390,405,406,407,408,413,506,522,528,551,557,559,560,
629,634,638,876,880,881,895,911,912,913,914,918,919,938,942,944,945,957,1044,
1126,1293,1294,1296,1309,1324,1552,1626,1627,1628,1669,1673,1791,2085,2086,
2088,2092,2111,2112,2120,2121,2354,2538,2765,2766,2777,3152,3169,3306,3614,
3944],[1,2,4,5,6,7,8,9,10,12,13,19,20,28,29,32,35,40,41,43,44,50,65,71,118,120
,121,127,129,142,146,151,153,154,156,160,162,168,173,174,179,180,188,189,190,
221,366,369,381,383,386,390,405,407,408,522,528,551,557,559,560,629,635,639,
872,876,880,881,895,911,913,914,918,919,938,942,944,945,963,1063,1126,1293,
1294,1296,1552,1626,1627,1628,1669,1673,1793,2085,2086,2088,2092,2113,2120,
2121,2126,2354,2765,2766,2777,3155,3156,3174,3306,3945],[1,2,4,5,6,7,8,9,10,12
,13,22,28,29,32,35,40,41,43,44,50,51,73,74,101,118,120,121,122,123,124,125,126
,139,141,142,145,153,154,155,156,159,160,162,168,173,174,188,189,199,206,208,
258,366,369,381,383,386,387,390,393,405,407,408,445,447,474,479,500,507,521,
522,528,536,551,569,574,576,586,597,619,629,630,631,632,857,858,859,860,861,
862,863,864,866,867,868,876,884,911,913,914,915,918,919,930,937,938,942,944,
945,953,955,961,1069,1156,1225,1293,1294,1296,1297,1317,1319,1512,1552,1562,
1566,1577,1578,1584,1592,1601,1602,1613,1617,1642,1648,1658,1664,1665,1669,
1672,1673,1678,1699,1708,1790,2085,2086,2103,2104,2105,2106,2107,2108,2116,
2118,2120,2121,2136,2141,2311,2370,2387,2465,2535,2770,2772,2777,2779,2783,
2797,2808,2811,2813,2822,2845,2849,2856,3157,3163,3311,3333,3378,3617,3619,
3946],[1,2,4,5,6,7,8,9,12,13,19,20,23,28,29,31,32,34,35,40,41,42,43,44,46,50,
71,75,87,107,118,120,121,122,123,124,125,126,139,141,142,145,153,154,156,158,
160,161,162,163,164,172,173,174,177,178,188,189,200,205,209,210,262,366,367,
369,380,381,383,384,385,386,387,388,389,390,393,399,400,401,402,405,407,408,
409,449,455,480,481,500,507,522,525,528,551,562,570,575,578,580,592,604,620,
629,630,631,632,857,858,859,860,861,862,863,864,866,867,868,877,882,883,911,
913,914,916,918,919,929,931,932,936,938,942,944,945,946,951,952,954,962,1083,
1160,1221,1293,1294,1295,1296,1297,1303,1304,1317,1318,1319,1320,1321,1514,
1552,1563,1567,1568,1572,1573,1574,1575,1584,1592,1601,1602,1614,1618,1642,
1653,1659,1660,1661,1663,1669,1673,1675,1679,1701,1710,1790,2085,2087,2103,
2104,2105,2106,2107,2108,2117,2119,2120,2121,2137,2139,2143,2329,2369,2389,
2464,2535,2537,2770,2772,2777,2780,2781,2782,2798,2806,2814,2815,2823,2845,
2849,2855,3157,3165,3312,3334,3379,3617,3620,3947],[1,2,3,4,5,6,7,8,9,10,15,16
,19,22,23,28,29,30,31,32,33,34,37,40,41,42,43,44,45,46,52,62,73,75,79,80,109,
118,120,121,122,123,124,125,126,139,141,142,145,153,154,155,156,158,159,163,
164,165,166,168,169,170,175,177,179,182,184,191,193,199,200,205,206,208,209,
210,283,366,367,372,380,381,382,383,384,385,386,387,388,389,391,392,393,399,
400,401,402,405,407,408,409,445,447,449,455,474,475,480,486,502,511,526,527,
529,537,547,552,558,569,570,574,575,580,581,582,583,590,598,602,623,629,630,
631,632,857,858,859,860,861,862,863,864,866,867,868,880,885,891,911,913,914,
915,916,921,922,929,930,931,932,933,934,935,937,939,940,941,943,947,951,952,
953,954,955,961,962,1071,1145,1161,1227,1293,1294,1295,1297,1300,1303,1304,
1317,1318,1319,1320,1321,1512,1514,1553,1562,1563,1566,1567,1568,1572,1573,
1574,1575,1577,1578,1585,1588,1589,1596,1597,1598,1599,1615,1619,1646,1649,
1650,1658,1659,1660,1661,1662,1664,1666,1668,1670,1671,1674,1676,1678,1679,
1700,1702,1709,1711,1790,2085,2093,2103,2104,2105,2106,2107,2108,2116,2117,
2118,2119,2122,2123,2138,2140,2142,2313,2322,2371,2395,2462,2463,2535,2537,
2773,2774,2778,2779,2780,2781,2782,2783,2797,2798,2807,2811,2813,2814,2815,
2824,2843,2846,2847,2853,2854,3157,3166,3313,3335,3380,3382,3618,3619,3620,
3948],[1,2,4,5,6,7,8,9,12,13,23,25,28,29,32,35,40,41,43,44,50,103,110,118,120,
121,122,123,124,125,126,139,141,142,145,153,154,156,160,162,173,174,188,189,
201,202,204,247,366,369,381,383,386,387,390,393,405,407,408,500,507,522,528,
551,612,615,629,630,631,632,849,852,857,858,859,860,861,862,863,864,866,867,
868,911,913,914,918,919,938,942,944,945,958,1117,1119,1188,1293,1294,1296,1297
,1317,1319,1552,1584,1592,1601,1602,1608,1609,1642,1669,1673,1790,2085,2103,
2104,2105,2106,2107,2108,2120,2121,2147,2148,2149,2425,2439,2535,2770,2772,
2777,2809,2810,2845,2849,3157,3170,3328,3330,3341,3617,3949],[1,2,4,5,6,8,10,
13,19,22,23,28,29,32,35,40,41,43,44,65,101,108,118,119,120,121,128,143,160,168
,173,179,180,189,199,201,203,204,206,208,210,332,366,369,381,383,386,390,405,
406,407,408,413,506,557,586,593,595,613,619,629,634,638,876,880,881,918,938,
945,953,955,956,958,959,960,961,1143,1243,1293,1294,1296,1309,1324,1613,1628,
1680,1699,1704,1705,1791,2086,2092,2101,2118,2120,2153,2436,2538,2765,2795,
2808,3152,3180,3323,3614,3950],[1,2,4,5,6,8,10,12,13,19,20,23,28,29,31,32,35,
38,40,41,42,43,44,46,65,71,77,81,110,118,119,120,121,128,143,158,160,161,162,
163,164,168,172,173,177,178,179,180,189,194,201,288,366,369,380,381,383,386,
388,389,390,403,405,406,407,408,409,413,464,478,482,506,525,557,562,615,629,
634,638,849,876,877,880,881,882,916,918,929,931,932,936,938,945,946,948,1096,
1211,1293,1294,1296,1309,1318,1324,1330,1537,1539,1609,1618,1628,1675,1791,
2086,2092,2117,2120,2125,2137,2139,2147,2383,2538,2540,2765,2809,2823,2833,
2835,3152,3175,3344,3614,3631,3951],[1,2,4,5,6,7,8,9,12,13,22,23,28,29,32,35,
40,41,43,44,50,107,108,118,120,121,122,123,124,125,126,139,141,142,145,153,154
,156,160,162,173,174,188,189,205,206,208,331,366,369,381,383,386,387,390,393,
405,407,408,500,507,522,528,551,620,621,629,630,631,632,848,849,857,858,859,
860,861,862,863,864,866,867,868,911,913,914,918,919,938,942,944,945,961,1137,
1139,1142,1293,1294,1296,1297,1317,1319,1552,1584,1592,1601,1602,1606,1607,
1642,1669,1673,1790,2085,2097,2098,2099,2103,2104,2105,2106,2107,2108,2120,
2121,2304,2427,2535,2770,2772,2777,2820,2821,2845,2849,3157,3171,3310,3317,
3318,3617,3952],[1,2,4,5,6,7,8,13,22,23,25,28,29,32,35,38,39,40,44,103,108,118
,120,121,122,123,124,125,126,173,189,201,204,206,208,350,366,369,373,374,375,
376,377,378,379,381,386,387,393,405,593,595,629,630,631,632,848,849,852,853,
854,855,856,884,904,906,918,958,961,1294,1297,1305,1306,1307,1308,1317,1319,
1607,1608,1680,1790,2097,2099,2128,2131,2147,2149,2428,2532,2535,2850,2852,
3158,3161,3162,3170,3171,3615,3634,3953],[1,2,4,5,6,8,10,13,19,23,25,28,29,32,
35,40,41,43,44,65,103,107,118,119,120,121,128,143,160,168,173,179,180,189,200,
202,203,205,209,210,249,366,369,381,383,386,390,405,406,407,408,413,506,557,
592,612,620,629,634,638,852,876,880,881,918,938,945,951,952,954,956,962,1120,
1260,1293,1294,1296,1309,1324,1608,1614,1628,1701,1791,2086,2092,2119,2120,
2124,2148,2364,2538,2765,2806,2810,3152,3179,3357,3614,3954],[1,2,4,5,6,7,8,13
,25,28,29,32,35,38,39,40,44,103,117,118,120,121,122,123,124,125,126,173,189,
355,366,369,373,374,375,376,377,378,379,381,386,387,393,405,629,630,631,632,
852,853,854,855,856,884,904,906,918,1294,1297,1305,1306,1307,1308,1317,1319,
1608,1698,1790,2128,2131,2532,2535,3158,3161,3162,3615,3636,3955],[1,2,4,5,6,7
,8,13,25,28,29,32,35,38,39,40,44,103,117,118,120,121,122,123,124,125,126,173,
189,355,366,369,373,374,375,376,377,378,379,381,386,387,393,405,629,630,631,
632,852,853,854,855,856,884,904,906,918,1294,1297,1305,1306,1307,1308,1317,
1319,1608,1697,1790,2128,2131,2532,2535,3158,3161,3162,3615,3635,3956],[1,2,4,
5,6,7,8,9,10,12,13,19,22,23,28,29,32,35,38,39,40,41,43,44,50,65,73,75,76,77,
108,118,120,121,122,123,124,125,126,139,141,142,145,153,154,155,156,159,160,
162,168,173,174,179,180,188,189,194,195,199,201,203,204,206,208,281,366,369,
373,374,375,376,377,378,379,381,383,386,387,390,393,405,407,408,445,447,449,
457,467,471,474,482,483,484,485,496,497,498,500,507,522,528,551,556,557,561,
569,574,593,595,607,609,613,629,630,631,632,857,858,859,860,861,862,863,864,
866,867,868,881,884,903,904,906,911,913,914,915,918,919,924,925,926,930,937,
938,942,944,945,953,955,958,959,960,961,1078,1098,1168,1181,1202,1293,1294,
1296,1297,1305,1306,1307,1308,1317,1319,1512,1515,1519,1520,1521,1522,1523,
1524,1525,1526,1527,1528,1552,1554,1562,1566,1577,1578,1584,1592,1601,1602,
1629,1634,1642,1654,1656,1658,1664,1669,1673,1678,1680,1682,1684,1685,1686,
1687,1690,1691,1704,1705,1790,2085,2101,2103,2104,2105,2106,2107,2108,2110,
2116,2118,2120,2121,2127,2128,2131,2330,2345,2346,2349,2407,2430,2446,2454,
2532,2535,2770,2772,2776,2777,2779,2783,2795,2797,2799,2801,2802,2803,2804,
2805,2811,2813,2816,2818,2825,2845,2849,3157,3158,3336,3338,3368,3371,3376,
3607,3617,3619,3957],[1,2,3,4,5,6,7,8,9,15,16,17,19,20,23,30,31,32,33,34,35,37
,38,39,40,41,42,43,44,45,46,52,56,75,92,106,118,120,121,122,123,124,125,126,
139,141,142,145,153,154,156,158,163,164,165,166,170,175,176,177,178,180,182,
184,186,187,190,191,192,193,194,195,197,200,201,203,204,205,209,210,275,367,
369,372,373,374,375,376,377,378,379,380,382,383,384,385,388,389,391,392,399,
400,401,402,405,407,408,409,449,455,457,467,471,480,484,487,488,489,491,496,
497,499,502,511,526,529,535,548,550,552,558,564,570,575,580,589,591,596,603,
605,610,617,629,630,631,632,857,858,859,860,861,862,863,864,866,867,868,879,
882,889,890,892,893,895,908,909,910,911,913,914,916,921,922,923,924,925,926,
927,929,931,932,933,934,939,940,941,943,951,952,954,958,959,960,962,1087,1089,
1166,1175,1182,1215,1293,1295,1300,1303,1304,1305,1306,1307,1308,1318,1320,
1321,1514,1515,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1553,1555,
1563,1567,1568,1572,1573,1574,1575,1585,1588,1589,1596,1597,1598,1599,1621,
1623,1631,1646,1651,1652,1655,1659,1660,1661,1668,1670,1671,1679,1681,1683,
1685,1686,1687,1688,1692,1693,1694,1703,1706,1707,1790,2085,2101,2103,2104,
2105,2106,2107,2108,2110,2117,2119,2122,2123,2129,2130,2134,2135,2323,2324,
2334,2338,2339,2340,2341,2412,2431,2449,2451,2453,2532,2537,2773,2774,2776,
2778,2780,2781,2782,2796,2798,2799,2801,2802,2803,2804,2805,2814,2815,2817,
2819,2826,2843,2846,2847,3157,3160,3339,3340,3369,3372,3373,3377,3607,3618,
3620,3958],[1,2,3,4,5,6,7,8,10,13,16,21,25,28,29,32,33,35,36,38,39,40,44,45,47
,51,68,91,103,118,120,121,122,123,124,125,126,155,166,168,173,182,183,185,189,
198,264,366,369,370,373,374,375,376,377,378,379,381,382,386,387,393,394,395,
396,397,398,405,410,536,554,629,630,631,632,852,853,854,855,856,876,878,884,
894,897,898,899,900,901,904,906,918,928,930,943,949,1294,1297,1301,1302,1305,
1306,1307,1308,1317,1319,1322,1323,1541,1549,1550,1608,1617,1632,1640,1790,
2086,2094,2128,2131,2132,2133,2136,2144,2145,2379,2532,2535,2536,2787,2793,
3158,3159,3161,3162,3163,3167,3610,3612,3615,3623,3624,3959],[1,2,4,5,6,7,8,12
,13,19,20,25,28,29,31,32,34,35,38,39,40,41,42,44,46,71,93,103,118,120,121,122,
123,124,125,126,162,163,172,173,174,177,178,179,189,190,197,267,366,367,369,
373,374,375,376,377,378,379,380,381,383,384,385,386,387,388,389,393,399,400,
401,402,405,409,560,562,629,630,631,632,852,853,854,855,856,877,880,882,883,
884,891,892,893,895,904,906,908,909,910,918,927,929,942,946,947,1294,1295,1297
,1303,1304,1305,1306,1307,1308,1317,1318,1319,1320,1321,1542,1547,1548,1608,
1618,1626,1639,1790,2087,2093,2128,2129,2131,2134,2135,2139,2140,2142,2143,
2378,2532,2535,2537,2788,2794,3158,3160,3161,3162,3165,3166,3613,3615,3625,
3626,3960],[1,2,3,4,5,6,7,8,13,16,18,21,25,28,29,32,33,35,36,38,39,40,44,45,47
,68,72,83,84,91,115,118,120,121,122,123,124,125,126,166,167,173,182,183,185,
189,196,198,310,366,369,370,373,374,375,376,377,378,379,381,382,386,387,393,
394,395,396,397,398,405,410,554,563,629,630,631,632,852,853,854,855,856,878,
884,894,896,897,898,899,900,901,904,906,918,928,943,949,950,1294,1297,1301,
1302,1305,1306,1307,1308,1317,1319,1322,1323,1541,1545,1546,1549,1550,1612,
1632,1640,1641,1790,2089,2094,2128,2131,2132,2133,2144,2145,2146,2386,2532,
2535,2536,2792,2793,3158,3159,3161,3162,3164,3167,3611,3612,3616,3621,3622,
3623,3624,3961],[1,2,3,4,5,6,7,8,13,21,25,28,29,32,33,35,36,38,39,40,44,45,47,
84,91,98,103,115,118,120,121,122,123,124,125,126,173,183,189,198,317,366,369,
370,373,374,375,376,377,378,379,381,382,386,387,393,394,395,396,397,398,405,
410,629,630,631,632,852,853,854,855,856,884,894,898,899,900,901,904,906,918,
928,1294,1297,1301,1302,1305,1306,1307,1308,1317,1319,1322,1323,1541,1546,1549
,1561,1608,1612,1790,2128,2131,2132,2133,2532,2535,2536,3158,3159,3161,3162,
3608,3615,3616,3621,3624,3962],[1,2,3,4,5,6,7,8,13,21,25,28,29,32,33,35,36,38,
39,40,44,45,47,83,91,97,103,115,118,120,121,122,123,124,125,126,173,183,189,
198,318,366,369,370,373,374,375,376,377,378,379,381,382,386,387,393,394,395,
396,397,398,405,410,629,630,631,632,852,853,854,855,856,884,894,898,899,900,
901,904,906,918,928,1294,1297,1301,1302,1305,1306,1307,1308,1317,1319,1322,
1323,1541,1545,1550,1560,1608,1612,1790,2128,2131,2132,2133,2532,2535,2536,
3158,3159,3161,3162,3609,3615,3616,3622,3623,3963],[1,2,3,4,5,6,8,10,12,13,15,
16,17,19,22,23,28,29,30,31,32,33,34,35,37,40,41,42,43,44,45,55,65,74,79,80,81,
108,118,119,120,121,128,143,160,165,168,170,172,173,174,175,176,179,180,184,
185,186,187,189,191,205,206,287,366,367,368,369,371,372,380,381,382,383,384,
385,386,390,391,392,405,406,407,408,411,412,413,454,458,506,532,549,557,597,
598,599,600,621,629,634,638,848,849,876,877,878,879,880,881,883,886,887,888,
917,918,922,933,934,938,939,945,964,1095,1253,1293,1294,1295,1296,1300,1309,
1310,1311,1324,1325,1326,1535,1536,1537,1538,1607,1620,1628,1630,1791,2086,
2087,2090,2091,2092,2097,2098,2120,2123,2154,2161,2384,2533,2534,2538,2758,
2759,2760,2761,2765,2767,2820,3152,3177,3361,3605,3606,3614,3964],[1,2,3,4,5,6
,8,10,13,16,19,21,23,28,29,30,32,33,35,37,40,41,43,44,45,65,68,79,92,107,118,
119,120,121,128,143,160,166,168,173,175,179,180,181,182,183,185,189,193,205,
268,366,368,369,372,381,382,383,386,390,391,392,405,406,407,408,412,413,458,
506,544,554,557,598,605,620,629,634,638,849,876,878,880,881,887,894,905,918,
920,921,938,940,941,943,945,965,1105,1250,1293,1294,1296,1300,1309,1311,1324,
1326,1538,1540,1606,1628,1632,1637,1791,2086,2090,2092,2095,2098,2120,2122,
2156,2162,2377,2534,2538,2760,2763,2765,2768,2821,3152,3176,3359,3606,3614,
3965],[1,2,4,5,6,8,10,13,19,28,29,32,35,38,40,41,43,44,46,51,65,118,119,120,
121,128,143,155,159,160,164,168,173,179,180,189,194,195,219,366,369,378,379,
381,383,386,387,390,403,405,406,407,408,413,506,508,521,536,556,557,561,629,
634,638,876,880,881,884,903,906,915,918,924,925,926,930,937,938,945,948,1052,
1125,1293,1294,1296,1305,1309,1316,1317,1324,1554,1617,1628,1629,1634,1672,
1791,2086,2092,2110,2116,2120,2127,2128,2136,2141,2155,2352,2538,2542,2765,
2787,2791,2816,2822,3152,3178,3321,3614,3629,3966],[1,4,5,6,7,8,20,25,31,32,34
,35,38,39,41,42,46,93,98,117,118,120,121,122,123,124,125,126,178,190,197,360,
367,369,373,374,375,376,377,378,379,380,383,384,385,388,389,399,400,401,402,
409,629,630,631,632,852,853,855,882,892,893,895,908,909,910,927,1295,1303,1304
,1305,1306,1307,1308,1318,1320,1321,1542,1547,1561,1697,1790,2129,2134,2135,
2461,2532,2537,3160,3161,3608,3625,3635,3967],[1,4,5,6,7,8,20,25,31,32,34,35,
38,39,41,42,46,93,97,117,118,120,121,122,123,124,125,126,178,190,197,359,367,
369,373,374,375,376,377,378,379,380,383,384,385,388,389,399,400,401,402,409,
629,630,631,632,852,854,856,882,892,893,895,908,909,910,927,1295,1303,1304,
1305,1306,1307,1308,1318,1320,1321,1542,1548,1560,1698,1790,2129,2134,2135,
2460,2532,2537,3160,3162,3609,3626,3636,3968],[1,2,3,4,5,6,7,8,12,13,16,19,20,
21,22,23,28,29,31,32,33,34,35,36,38,39,40,41,42,44,45,46,47,68,71,80,92,108,
118,120,121,122,123,124,125,126,162,163,166,172,173,174,177,178,179,182,183,
185,189,190,197,198,201,204,206,208,270,366,367,369,370,373,374,375,376,377,
378,379,380,381,382,383,384,385,386,387,388,389,393,394,395,396,397,398,399,
400,401,402,405,409,410,488,489,554,560,562,581,593,595,602,629,630,631,632,
848,849,877,878,880,882,883,884,891,892,893,894,895,897,898,899,900,901,904,
906,908,909,910,918,927,928,929,942,943,946,947,949,958,961,1165,1294,1295,
1297,1301,1302,1303,1304,1305,1306,1307,1308,1317,1318,1319,1320,1321,1322,
1323,1536,1540,1607,1618,1626,1632,1639,1640,1680,1694,1709,1790,2087,2093,
2094,2097,2099,2128,2129,2131,2132,2133,2134,2135,2139,2140,2142,2143,2144,
2145,2147,2149,2380,2432,2532,2535,2536,2537,2762,2788,2793,2794,2838,2839,
2842,2850,2852,3158,3159,3160,3165,3166,3167,3170,3171,3388,3612,3613,3634,
3639,3647,3969],[1,2,4,5,6,7,8,10,12,13,19,20,22,23,28,29,31,32,34,35,38,39,40
,41,42,44,46,51,71,74,77,108,118,120,121,122,123,124,125,126,155,162,163,168,
172,173,174,177,178,179,189,190,197,201,204,206,208,280,366,367,369,373,374,
375,376,377,378,379,380,381,383,384,385,386,387,388,389,393,399,400,401,402,
405,409,482,485,536,560,562,576,593,595,597,629,630,631,632,848,849,876,877,
880,882,883,884,891,892,893,895,904,906,908,909,910,918,927,929,930,942,946,
947,958,961,1169,1294,1295,1297,1303,1304,1305,1306,1307,1308,1317,1318,1319,
1320,1321,1535,1539,1607,1617,1618,1626,1639,1680,1691,1708,1790,2086,2087,
2093,2097,2099,2128,2129,2131,2134,2135,2136,2139,2140,2142,2143,2147,2149,
2376,2433,2532,2535,2537,2758,2787,2788,2794,2832,2833,2841,2850,2852,3158,
3160,3163,3165,3166,3170,3171,3387,3610,3613,3634,3638,3646,3970],[1,2,3,4,5,6
,8,10,12,13,15,16,17,23,28,29,30,31,32,33,35,37,38,40,41,42,44,45,46,51,55,77,
79,110,118,119,120,121,128,143,155,162,165,168,169,172,173,175,176,184,185,186
,187,189,192,201,205,284,366,368,369,372,378,379,380,381,382,386,387,388,389,
391,392,403,405,409,412,458,464,476,482,508,533,536,549,571,585,598,629,634,
638,849,876,877,878,879,884,885,887,889,890,906,907,918,923,930,935,939,946,
1097,1148,1294,1300,1305,1311,1316,1317,1318,1326,1330,1538,1539,1609,1617,
1625,1630,1791,2086,2090,2098,2128,2130,2136,2138,2139,2147,2158,2382,2534,
2540,2542,2760,2787,2789,2833,2834,2840,2851,3152,3182,3386,3606,3629,3631,
3971],[1,2,4,5,6,8,10,12,13,19,20,22,23,28,29,31,32,34,35,38,40,41,42,44,46,51
,71,74,77,108,118,119,120,121,128,143,155,162,163,168,172,173,174,177,178,179,
189,190,197,201,206,280,366,367,369,371,378,379,380,381,384,385,386,387,388,
389,403,405,409,411,454,464,482,485,508,536,560,562,576,593,597,629,634,638,
848,849,876,877,882,883,884,891,892,893,902,906,918,927,929,930,946,947,1111,
1169,1294,1295,1305,1310,1316,1317,1318,1325,1330,1535,1539,1607,1617,1618,
1639,1791,2086,2087,2097,2128,2129,2136,2139,2140,2147,2157,2376,2533,2540,
2542,2758,2787,2788,2832,2833,2841,2850,3152,3183,3387,3605,3629,3631,3972],[1
,3,4,5,6,7,8,20,21,25,31,32,33,34,35,36,38,39,41,42,45,46,47,83,93,117,118,120
,121,122,123,124,125,126,178,183,190,197,198,364,367,369,370,373,374,375,376,
377,378,379,380,382,383,384,385,388,389,394,395,396,397,398,399,400,401,402,
409,410,629,630,631,632,852,854,856,882,892,893,894,895,898,899,900,901,908,
909,910,927,928,1295,1301,1302,1303,1304,1305,1306,1307,1308,1318,1320,1321,
1322,1323,1542,1545,1548,1698,1790,2129,2132,2133,2134,2135,2532,2536,2537,
3159,3160,3162,3622,3626,3636,3973],[1,3,4,5,6,7,8,20,21,25,31,32,33,34,35,36,
38,39,41,42,45,46,47,84,93,117,118,120,121,122,123,124,125,126,178,183,190,197
,198,365,367,369,370,373,374,375,376,377,378,379,380,382,383,384,385,388,389,
394,395,396,397,398,399,400,401,402,409,410,629,630,631,632,852,853,855,882,
892,893,894,895,898,899,900,901,908,909,910,927,928,1295,1301,1302,1303,1304,
1305,1306,1307,1308,1318,1320,1321,1322,1323,1542,1546,1547,1697,1790,2129,
2132,2133,2134,2135,2532,2536,2537,3159,3160,3161,3621,3625,3635,3974],[1,4,5,
6,7,8,20,24,31,32,34,35,38,39,41,42,46,88,96,116,119,120,121,122,123,125,126,
127,178,190,197,207,358,367,371,373,374,376,377,378,379,385,389,399,400,401,
402,403,404,409,565,566,608,611,625,632,633,634,635,636,637,850,893,902,908,
909,910,927,1275,1276,1288,1298,1299,1304,1308,1310,1312,1313,1314,1315,1316,
1321,1330,1331,1332,1333,1543,1556,1689,1695,1795,2096,2100,2135,2157,2159,
2160,2455,2459,2539,2544,2545,2751,2752,2753,2764,2827,2869,3184,3389,3390,
3391,3396,3644,3975],[1,2,3,4,5,6,7,8,9,15,16,17,19,20,23,31,32,34,35,37,38,39
,41,42,43,44,45,46,52,56,75,92,106,119,120,121,122,123,125,126,127,139,142,145
,154,156,164,165,166,177,178,186,190,191,192,193,194,195,197,200,203,204,210,
275,367,368,371,373,374,376,377,378,379,385,389,392,399,400,401,402,403,404,
406,407,409,449,455,467,471,480,487,489,496,497,499,502,511,526,548,558,564,
580,596,610,617,632,633,634,635,636,637,858,859,860,864,866,872,890,893,902,
907,908,909,910,912,913,917,920,925,927,932,934,941,948,952,956,959,1087,1089,
1182,1215,1298,1299,1304,1308,1309,1310,1311,1312,1313,1314,1315,1316,1321,
1330,1331,1332,1333,1514,1519,1520,1521,1524,1526,1551,1572,1573,1574,1583,
1597,1598,1599,1616,1623,1635,1646,1652,1657,1661,1667,1671,1686,1693,1707,
1795,2096,2102,2104,2111,2113,2114,2115,2124,2125,2135,2153,2154,2155,2156,
2157,2158,2159,2160,2338,2340,2341,2375,2412,2451,2539,2544,2545,2771,2781,
2786,2801,2828,2829,2830,2831,2847,2858,2859,2860,2864,2865,2866,2867,2868,
2870,2871,3168,3184,3316,3373,3397,3398,3399,3627,3637,3640,3976],[1,2,3,4,5,6
,8,9,15,16,17,19,20,23,30,31,32,33,34,35,37,38,40,41,42,43,44,45,46,52,56,75,
92,106,118,119,120,121,128,153,154,156,158,163,164,165,166,170,175,176,177,178
,180,182,184,186,187,190,191,192,193,194,195,197,200,201,203,204,205,209,210,
275,367,368,369,371,372,378,379,380,382,384,385,388,389,391,392,403,405,406,
407,408,409,411,412,413,480,484,487,488,489,491,496,497,499,526,529,535,548,
550,552,558,564,570,575,580,589,591,596,603,605,610,617,629,634,638,879,882,
889,890,892,893,902,907,911,912,913,914,916,917,920,921,922,923,924,925,926,
927,929,931,932,933,934,939,940,941,943,948,951,952,954,956,957,958,959,960,
962,964,965,1166,1175,1182,1215,1293,1295,1300,1305,1309,1310,1311,1316,1318,
1324,1325,1326,1330,1551,1553,1555,1616,1621,1623,1631,1635,1651,1652,1655,
1657,1659,1660,1661,1667,1668,1670,1671,1677,1679,1681,1683,1685,1686,1687,
1688,1692,1693,1694,1703,1706,1707,1791,2085,2101,2110,2111,2112,2117,2119,
2122,2123,2124,2125,2129,2130,2153,2154,2155,2156,2157,2158,2161,2162,2375,
2431,2449,2451,2453,2533,2534,2538,2540,2542,2776,2778,2796,2798,2817,2819,
2826,2830,2831,2857,2864,2865,2866,2867,2868,3169,3175,3176,3177,3178,3179,
3180,3182,3183,3369,3399,3628,3641,3642,3643,3645,3648,3649,3977],[1,2,4,6,9,
10,11,12,13,22,24,29,31,42,48,49,50,51,57,73,74,78,82,96,100,101,102,140,141,
144,172,218,236,237,238,257,258,259,316,439,446,447,448,450,451,501,503,565,
671,687,688,716,717,1058,1070,1084,1335,1388,1817,1818,1832,1845,2547,2548,
2549,2591,2595,3978],[1,2,3,4,6,9,11,15,16,17,18,19,20,21,23,24,25,31,33,35,42
,44,48,52,56,60,67,75,78,83,84,85,86,88,92,93,105,106,111,116,117,144,156,163,
178,182,184,187,195,204,209,212,214,222,253,275,277,301,306,311,333,349,353,
357,362,363,364,365,439,451,459,488,497,510,550,552,575,591,603,643,645,649,
744,807,837,838,842,845,846,1027,1033,1043,1093,1102,1166,1342,1507,1797,1804,
1807,1892,2548,2564,3185,3187,3655,3663,3664,3979],[1,2,4,6,9,10,11,12,13,14,
19,20,22,23,25,29,35,44,48,50,57,63,65,71,73,75,76,77,81,87,89,93,103,107,108,
110,140,141,156,159,188,189,195,204,208,214,218,221,227,242,246,247,248,249,
261,262,263,265,267,281,286,288,289,331,339,350,351,439,446,447,452,457,497,
498,505,507,551,561,574,595,609,643,644,648,695,698,703,742,764,773,801,802,
810,1033,1040,1045,1046,1048,1077,1079,1080,1098,1103,1104,1118,1119,1142,1144
,1181,1339,1457,1797,1798,1803,1860,1863,1866,1867,1873,1884,1890,1891,1915,
1918,1938,1942,1950,1954,2547,2565,2656,2662,3186,3656,3657,3662,3980],[1,2,4,
5,6,9,10,11,12,13,19,20,22,23,26,28,29,32,35,40,44,50,57,65,71,73,75,76,77,87,
107,108,118,130,132,136,139,140,153,156,173,174,188,189,218,221,261,262,263,
281,331,366,369,405,420,428,429,445,446,449,452,500,505,528,551,742,848,849,
911,918,919,971,1039,1040,1078,1079,1080,1083,1343,1344,1552,1606,1607,1873,
1874,2179,2180,2304,2873,2875,3193,3681,3981],[1,2,4,5,6,9,10,12,13,14,19,20,
22,23,26,28,29,32,35,40,44,50,63,65,71,73,75,76,77,81,108,110,118,130,132,136,
139,140,155,159,173,180,189,195,221,227,281,286,288,289,339,366,369,405,423,
429,433,445,446,449,452,500,505,556,561,764,848,849,915,918,924,984,1041,1048,
1072,1077,1078,1080,1343,1344,1554,1607,1609,1876,1884,2179,2180,2305,2877,
2879,3193,3681,3982],[1,2,4,5,6,9,10,11,12,13,22,24,26,28,29,32,40,50,51,57,73
,74,82,100,101,118,130,132,136,139,141,144,153,155,168,173,174,199,206,215,218
,236,237,257,258,366,381,414,415,420,428,429,445,447,450,474,479,500,528,536,
569,586,597,650,688,857,876,971,986,987,1039,1058,1069,1115,1156,1343,1351,
1356,1512,1562,1584,1721,1818,1851,2166,2179,2185,2294,2311,2567,2873,2880,
2883,2895,2965,3199,3404,3674,3983],[1,2,4,5,6,9,11,12,13,14,19,23,25,26,28,32
,35,40,41,50,57,63,75,81,89,103,110,118,130,132,136,139,141,144,153,158,171,
173,174,179,180,201,205,215,218,242,247,265,286,369,381,383,416,417,420,428,
429,449,457,460,477,484,500,528,541,570,585,599,650,695,857,881,971,989,990,
1039,1058,1072,1117,1151,1343,1353,1356,1515,1563,1584,1722,1824,1855,2168,
2179,2185,2294,2315,2567,2873,2881,2885,2896,2966,3203,3405,3674,3984],[1,2,4,
5,6,8,9,10,12,13,19,20,22,23,24,26,29,31,32,34,35,40,42,44,50,65,71,74,75,76,
87,88,100,101,107,121,130,132,136,139,140,143,145,147,155,156,163,172,174,177,
178,188,189,199,200,209,215,221,237,240,241,260,262,282,367,384,386,414,415,
420,428,429,448,449,454,455,456,479,480,481,500,505,551,562,575,592,604,650,
690,865,866,883,971,986,987,1040,1041,1060,1081,1083,1115,1116,1160,1344,1351,
1356,1513,1514,1567,1592,1721,1826,1852,1853,2167,2180,2185,2295,2329,2568,
2875,2882,2886,2895,2967,3200,3409,3675,3985],[1,2,4,5,6,8,9,10,12,13,19,20,23
,25,26,28,32,35,38,40,41,44,50,65,71,75,77,81,87,93,103,107,110,121,130,132,
136,139,140,143,145,147,155,156,162,173,174,179,180,190,195,201,204,205,216,
221,247,248,249,262,267,288,379,387,390,416,417,423,429,433,449,452,464,468,
471,478,485,497,500,505,556,560,571,585,599,651,703,865,866,903,984,990,994,
1040,1041,1060,1077,1083,1117,1118,1153,1343,1354,1357,1518,1526,1565,1593,
1725,1830,1858,1860,2168,2179,2187,2295,2321,2569,2877,2881,2887,2898,2970,
3205,3408,3676,3986],[1,2,4,5,6,8,9,10,12,13,19,20,22,23,24,26,28,31,32,34,40,
41,44,50,65,71,74,75,76,87,88,100,101,107,121,130,132,136,139,140,143,145,147,
155,156,162,173,174,177,179,180,190,199,200,206,216,221,237,240,241,260,262,
282,367,387,388,415,416,423,429,433,448,449,454,455,456,479,480,483,500,505,
556,560,576,586,607,651,690,865,866,891,984,986,994,1040,1041,1060,1081,1083,
1115,1116,1167,1343,1352,1357,1513,1514,1571,1593,1726,1826,1852,1853,2168,
2179,2187,2295,2331,2569,2877,2880,2887,2897,2967,3201,3411,3676,3987],[1,2,3,
4,6,7,10,13,14,16,19,21,23,24,26,29,33,35,36,44,45,63,65,68,79,90,92,100,107,
124,130,132,136,140,146,150,159,166,182,183,185,189,195,200,209,216,227,240,
246,266,268,370,393,394,415,416,423,429,433,453,461,463,486,487,505,554,561,
582,592,603,651,699,869,897,984,986,994,1048,1062,1085,1116,1163,1344,1352,
1357,1517,1581,1595,1726,1828,1859,2169,2180,2187,2296,2326,2570,2879,2882,
2891,2897,2969,3204,3412,3679,3988],[1,2,4,5,6,9,10,12,13,19,20,22,23,26,28,29
,31,32,35,40,42,44,50,51,65,71,73,74,75,76,77,101,108,118,130,132,136,139,140,
155,163,168,172,173,177,178,189,219,221,258,280,281,282,332,366,369,380,381,
405,414,429,445,446,448,449,452,500,501,505,536,562,743,848,849,876,877,882,
884,918,929,930,987,1041,1050,1069,1070,1078,1080,1081,1082,1343,1344,1535,
1539,1607,1617,1618,1875,1882,2166,2167,2179,2180,2376,2883,2886,3193,3665,
3681,3989],[1,2,3,4,5,6,9,10,12,13,15,16,17,19,20,21,22,23,26,28,29,32,33,35,
40,41,44,45,50,52,55,56,62,65,68,70,71,73,75,76,77,79,80,87,92,106,107,108,109
,118,130,132,136,139,140,162,166,173,174,179,182,183,185,189,190,231,232,262,
268,270,275,278,279,281,283,338,366,369,382,383,405,416,429,445,446,449,452,
453,500,502,504,505,554,560,761,848,849,878,880,894,895,918,942,943,994,1051,
1053,1071,1073,1078,1080,1083,1085,1086,1089,1343,1344,1536,1540,1607,1626,
1632,1881,1889,2168,2169,2179,2180,2380,2887,2891,3193,3666,3681,3990],[1,2,3,
4,5,6,9,10,12,13,14,15,16,17,19,22,23,26,28,29,31,32,33,35,40,41,42,44,45,50,
51,52,54,55,62,63,64,65,73,74,75,76,77,79,80,81,101,108,109,110,118,130,132,
136,139,140,160,165,168,172,173,179,180,184,185,186,187,189,228,229,258,281,
283,284,285,286,287,290,340,366,369,380,381,382,383,405,414,416,429,445,446,
448,449,452,453,500,501,502,504,505,549,557,767,848,849,876,877,878,879,880,
881,918,939,945,997,1047,1049,1069,1070,1071,1072,1073,1074,1075,1076,1078,
1080,1343,1344,1535,1536,1537,1538,1607,1628,1630,1877,1887,2166,2167,2168,
2169,2179,2180,2384,2888,2890,3193,3665,3666,3681,3991],[1,2,3,4,6,7,11,13,14,
15,16,18,21,24,25,27,29,33,35,36,39,44,45,47,58,59,60,64,66,67,68,72,82,83,84,
85,86,89,90,91,94,95,105,111,114,115,124,133,134,137,144,150,166,167,182,183,
185,189,196,198,223,235,274,297,304,306,310,311,312,313,314,315,342,370,375,
393,394,395,396,410,418,419,434,450,459,460,462,463,465,466,509,510,515,516,
517,554,563,749,855,856,896,897,898,899,900,904,928,949,950,998,1054,1057,1090
,1092,1100,1101,1102,1106,1107,1108,1109,1110,1112,1345,1347,1545,1546,1549,
1550,1612,1640,1641,1894,1900,2170,2172,2174,2175,2181,2183,2386,2892,2893,
3196,3668,3672,3682,3992],[1,2,3,4,6,7,11,13,14,15,16,18,21,24,25,27,29,33,35,
36,39,44,45,47,58,59,60,64,66,67,68,72,82,83,84,85,86,89,90,91,94,95,105,111,
114,115,124,133,134,137,144,150,166,167,182,183,185,189,196,198,223,235,274,
297,304,306,310,311,312,313,314,315,342,370,375,393,394,395,396,410,418,419,
434,450,459,460,462,463,465,466,509,510,515,516,517,554,563,749,855,856,896,
897,898,899,900,904,928,949,950,998,1054,1057,1090,1092,1100,1101,1102,1106,
1107,1108,1109,1110,1112,1345,1348,1545,1546,1549,1550,1612,1640,1641,1894,
1900,2170,2171,2173,2175,2181,2182,2386,2892,2894,3195,3669,3673,3683,3993],[1
,2,4,5,6,9,10,12,13,19,22,23,24,26,28,29,32,35,40,44,50,65,73,75,76,77,100,101
,107,108,118,130,132,136,139,140,173,189,199,200,206,209,237,240,281,331,332,
346,347,366,369,405,415,429,445,446,449,452,500,505,586,592,809,848,849,918,
954,955,986,1078,1080,1115,1116,1139,1140,1343,1344,1607,1613,1614,1912,1913,
2179,2180,2358,2880,2882,3193,3681,3994],[1,2,3,4,5,6,9,11,12,13,14,15,16,17,
21,26,40,41,44,50,52,54,55,57,64,67,68,69,70,118,130,131,132,135,136,139,141,
144,153,160,162,215,216,218,229,232,233,234,405,420,421,422,424,425,426,427,
428,429,430,431,432,500,502,507,510,522,650,651,652,663,667,857,969,970,971,
972,973,974,975,977,978,979,980,981,1038,1039,1047,1051,1058,1356,1358,1359,
1360,1378,1379,1642,1716,1717,1718,1719,1720,1810,1841,1902,2185,2186,2189,
2191,2192,2195,2294,2471,2573,2899,2900,2904,2905,2984,3231,3425,3430,3684,
3995],[1,2,4,5,6,9,10,11,12,13,22,24,26,28,29,40,50,51,57,73,74,82,100,101,118
,135,136,139,141,144,153,168,199,215,216,218,236,237,257,258,366,420,421,422,
423,424,437,438,445,447,450,474,500,660,661,663,688,857,968,969,970,1002,1003,
1006,1007,1008,1038,1039,1058,1069,1115,1356,1358,1359,1360,1373,1374,1512,
1720,1731,1732,1749,1750,1811,1818,1851,2192,2197,2199,2201,2218,2294,2479,
2573,2899,2900,2908,2915,2965,3226,3427,3458,3684,3996],[1,2,3,4,5,6,9,11,12,
13,14,15,16,17,21,26,28,30,32,40,41,44,50,52,54,55,57,64,67,68,69,70,118,130,
131,132,135,136,139,141,144,153,160,162,169,170,171,173,174,175,176,215,218,
229,232,233,234,381,383,405,420,422,424,425,426,427,428,429,430,431,500,502,
507,510,522,528,529,531,532,533,539,650,652,663,667,857,945,969,971,977,978,
979,980,981,1039,1047,1051,1058,1130,1343,1356,1378,1584,1585,1642,1719,1841,
1902,2178,2179,2185,2186,2192,2294,2413,2567,2873,2876,2878,2905,2984,3221,
3402,3674,3997],[1,2,3,4,5,6,8,9,10,12,13,14,15,16,17,19,20,26,28,30,32,40,41,
42,44,45,46,50,51,52,53,54,55,56,62,63,64,65,71,121,130,131,132,135,136,139,
140,143,145,147,155,156,160,165,166,169,170,171,173,180,216,221,228,229,230,
231,387,391,409,422,423,425,426,427,429,433,500,501,502,504,505,508,511,512,
521,526,538,539,540,556,651,653,664,668,865,866,935,968,981,982,983,984,1040,
1041,1047,1049,1053,1060,1122,1343,1357,1380,1587,1593,1644,1646,1715,1840,
1842,1904,2178,2179,2187,2188,2193,2295,2416,2569,2876,2877,2906,2986,3222,
3401,3676,3998],[1,2,3,4,5,6,8,9,11,15,16,18,21,26,28,30,41,42,44,45,46,49,52,
60,66,67,72,121,130,131,135,139,144,145,148,152,156,157,165,166,169,181,216,
220,222,235,387,391,409,421,425,432,502,503,509,510,511,513,519,520,526,542,
543,651,653,664,666,866,873,935,967,972,976,1042,1043,1054,1055,1064,1121,1343
,1359,1380,1603,1604,1646,1647,1714,1838,1839,1906,2178,2190,2191,2194,2302,
2423,2569,2874,2907,2987,3222,3400,3680,3999],[1,2,4,5,6,9,11,12,13,14,19,23,
25,26,32,35,40,50,57,63,75,81,89,103,110,118,132,135,136,139,141,144,153,180,
201,215,216,218,242,247,265,286,369,420,421,422,424,426,433,435,436,449,457,
460,484,500,656,658,663,695,857,969,970,982,999,1000,1020,1022,1024,1038,1039,
1058,1072,1117,1356,1358,1359,1360,1376,1381,1515,1720,1740,1742,1746,1747,
1812,1824,1855,2192,2202,2206,2207,2215,2294,2477,2573,2899,2900,2911,2912,
2966,3232,3429,3460,3684,4000],[1,2,4,5,6,9,10,11,12,13,19,20,22,23,26,28,29,
32,35,40,41,44,50,57,65,71,73,75,76,77,87,107,108,118,130,132,136,139,141,153,
156,157,160,162,168,173,174,179,180,188,189,190,199,201,215,218,221,261,262,
263,281,331,366,369,381,383,405,414,416,420,428,429,445,447,449,457,474,482,
483,484,494,500,507,522,524,528,551,557,559,560,613,616,650,652,663,742,857,
876,880,881,895,911,918,919,942,945,971,994,997,1039,1045,1067,1078,1083,1098,
1104,1126,1183,1202,1206,1207,1208,1343,1351,1353,1360,1378,1379,1512,1515,
1552,1626,1627,1628,1642,1669,1752,1874,1891,1944,2166,2168,2179,2195,2219,
2220,2307,2354,2407,2408,2567,2873,2887,2888,2917,2990,3199,3203,3221,3417,
3685,3707,3710,4001],[1,2,3,4,5,6,8,9,10,12,13,15,16,17,19,20,21,22,23,26,29,
30,31,32,33,34,35,37,40,41,42,43,44,45,50,52,55,65,68,70,71,74,79,80,81,92,107
,108,121,130,132,136,140,143,153,154,155,156,158,160,161,162,165,166,170,172,
174,175,176,181,182,183,184,185,186,187,188,189,191,193,199,201,215,221,232,
268,270,272,287,331,367,372,384,386,390,391,408,414,416,420,428,429,448,453,
454,458,475,476,477,479,491,505,506,522,523,525,526,529,532,544,546,549,551,
552,553,554,555,558,613,616,650,652,663,757,865,883,886,887,888,905,914,921,
922,933,938,940,944,971,994,997,1040,1044,1068,1076,1085,1095,1105,1127,1134,
1183,1198,1199,1201,1212,1344,1351,1353,1360,1378,1379,1513,1516,1553,1620,
1636,1637,1638,1643,1670,1673,1752,1878,1896,1943,2167,2169,2180,2195,2219,
2220,2308,2356,2402,2404,2568,2875,2890,2891,2917,2988,3200,3202,3220,3424,
3686,3708,3709,4002],[1,2,4,5,6,8,9,10,12,13,14,19,20,22,23,26,28,32,40,41,43,
44,50,63,65,71,73,75,76,77,81,108,110,121,130,132,136,139,140,143,145,147,155,
156,158,159,160,168,171,173,179,180,208,216,221,227,281,286,288,289,339,387,
408,414,416,423,429,433,445,449,500,505,506,523,540,541,556,557,574,651,764,
865,866,937,984,989,997,1040,1041,1048,1060,1072,1078,1124,1144,1343,1357,1362
,1566,1593,1643,1754,1876,1954,2166,2168,2179,2187,2295,2414,2569,2877,2885,
2888,2931,3000,3215,3418,3676,4003],[1,2,4,5,6,9,10,11,12,13,19,20,22,23,26,28
,32,40,41,44,50,57,65,71,73,75,76,77,87,107,108,118,130,132,136,139,141,144,
153,155,160,162,168,173,174,179,180,190,206,215,218,221,261,262,263,281,331,
381,405,414,416,420,428,429,445,449,500,507,522,528,557,559,560,569,650,742,
857,930,971,994,997,1039,1041,1058,1078,1083,1126,1139,1343,1356,1361,1562,
1584,1642,1752,1874,1948,2166,2168,2179,2185,2294,2418,2567,2873,2887,2888,
2929,2992,3214,3417,3674,4004],[1,2,4,5,6,8,9,10,12,13,19,20,22,23,26,28,32,40
,41,42,44,46,50,51,65,71,73,74,75,76,77,101,108,121,130,132,136,139,140,143,
145,147,155,156,160,163,168,173,179,180,209,216,219,221,258,280,281,282,332,
384,387,409,414,416,423,429,433,445,449,500,501,505,508,521,536,556,557,575,
651,743,865,866,947,984,987,997,1040,1041,1050,1060,1069,1078,1125,1140,1343,
1357,1364,1567,1586,1593,1644,1753,1875,1947,2166,2168,2179,2187,2295,2420,
2569,2877,2883,2888,2932,2994,3217,3420,3676,4005],[1,2,3,4,6,7,10,12,13,14,15
,16,17,19,20,22,23,26,29,31,33,35,42,44,45,47,55,56,62,63,65,71,74,76,79,80,81
,101,108,124,130,132,136,140,146,150,159,163,165,166,172,177,178,184,185,186,
187,189,195,209,216,227,231,282,285,287,289,332,393,394,410,414,416,423,429,
433,448,453,504,505,514,527,547,548,549,550,561,562,582,651,763,869,949,984,
987,997,1048,1053,1062,1076,1081,1135,1140,1344,1357,1364,1581,1590,1595,1645,
1753,1883,1953,2167,2169,2180,2187,2296,2422,2570,2879,2886,2890,2932,3002,
3218,3423,3679,4006],[1,2,3,4,5,6,8,9,10,12,13,15,16,17,19,20,21,22,23,26,29,
31,33,35,40,41,42,44,45,46,50,52,55,65,68,70,71,74,79,80,81,92,107,108,121,130
,132,136,139,140,143,145,147,155,156,162,165,166,172,182,183,184,185,186,187,
188,189,206,215,221,232,268,270,272,287,331,386,388,409,414,416,420,428,429,
448,453,500,502,505,511,526,549,551,552,553,554,555,576,650,757,865,866,946,
971,994,997,1040,1041,1051,1060,1076,1085,1134,1139,1344,1356,1361,1571,1588,
1592,1646,1752,1878,1955,2167,2169,2180,2185,2295,2421,2568,2875,2890,2891,
2929,3001,3216,3424,3675,4007],[1,2,4,5,6,9,10,11,12,13,19,20,22,23,26,28,32,
35,40,50,57,65,71,73,75,76,77,87,107,108,118,130,132,136,139,141,144,153,155,
173,174,180,201,206,215,218,221,261,262,263,281,331,369,381,420,423,428,429,
433,436,438,445,449,457,484,485,500,528,556,569,593,607,650,656,660,742,857,
884,971,984,1007,1011,1017,1021,1022,1039,1041,1058,1078,1083,1139,1168,1343,
1356,1366,1515,1562,1584,1778,1874,1948,2179,2185,2197,2202,2294,2330,2567,
2873,2877,2902,2922,2992,3208,3434,3674,4008],[1,2,4,5,6,8,9,10,11,12,13,19,20
,22,23,26,28,29,32,35,38,40,44,50,57,65,71,73,75,76,77,87,107,108,121,130,132,
136,139,140,143,145,147,153,155,156,173,174,180,188,189,201,206,216,218,221,
261,262,263,281,331,379,386,387,420,423,428,429,433,436,438,446,452,464,484,
485,500,505,528,551,556,569,593,607,651,658,661,742,865,866,906,971,984,1007,
1011,1017,1021,1022,1039,1040,1041,1060,1079,1080,1139,1168,1343,1357,1371,
1518,1564,1592,1593,1778,1873,1948,2179,2187,2196,2203,2295,2332,2569,2873,
2877,2902,2923,2993,3211,3434,3676,4009],[1,2,3,4,5,6,8,9,10,12,13,15,16,17,19
,20,21,22,23,26,28,30,31,32,33,37,40,41,44,50,52,55,65,68,70,71,74,79,80,81,92
,107,108,121,130,131,132,135,136,139,140,143,145,147,155,156,162,169,173,175,
176,180,182,184,201,206,216,221,232,268,270,272,287,331,372,387,388,423,424,
425,429,430,431,433,436,438,448,453,458,476,478,500,502,505,533,552,556,576,
593,600,651,655,659,757,865,866,885,978,984,1006,1011,1016,1019,1020,1040,1041
,1051,1060,1076,1085,1139,1152,1343,1357,1367,1516,1571,1588,1593,1777,1878,
1955,2178,2179,2187,2198,2204,2295,2319,2569,2877,2878,2902,2919,3001,3209,
3433,3676,4010],[1,2,4,6,7,9,10,12,13,14,19,20,22,23,26,29,35,39,44,50,63,65,
71,73,75,76,77,81,108,110,124,130,132,136,140,146,150,156,159,188,189,195,204,
208,216,221,227,281,286,288,289,339,375,393,420,423,428,429,433,436,438,446,
452,470,497,498,505,551,561,574,595,609,651,658,661,764,869,904,971,984,1007,
1011,1017,1021,1022,1040,1048,1062,1077,1080,1144,1181,1344,1357,1371,1529,
1569,1595,1778,1884,1954,2180,2187,2196,2203,2296,2347,2570,2875,2879,2903,
2923,3003,3212,3436,3679,4011],[1,2,4,5,6,8,9,10,12,13,14,19,20,22,23,26,28,29
,32,35,38,40,44,50,63,65,71,73,75,76,77,81,108,110,121,130,132,136,139,140,143
,145,147,155,156,159,173,180,188,189,195,204,208,215,221,227,281,286,288,289,
339,379,386,387,420,423,428,429,433,436,438,445,449,471,497,498,500,505,551,
556,561,574,595,609,650,656,660,764,865,866,906,971,984,1007,1011,1017,1021,
1022,1040,1041,1048,1060,1072,1078,1144,1181,1344,1356,1366,1526,1566,1592,
1593,1778,1876,1954,2180,2185,2197,2202,2295,2345,2568,2875,2879,2903,2922,
3000,3210,3436,3675,4012],[1,2,3,4,5,6,8,9,11,12,13,14,15,16,17,18,21,24,25,26
,28,29,30,32,35,38,40,41,44,50,52,54,55,60,64,67,82,89,90,91,94,95,105,111,121
,130,131,132,135,136,139,144,145,148,152,156,157,160,169,170,171,173,181,188,
189,202,207,216,222,229,274,296,297,298,333,379,386,387,421,422,425,426,427,
429,432,435,437,450,460,472,490,492,500,502,510,539,543,551,577,587,606,651,
658,661,753,866,873,906,972,981,1008,1009,1018,1023,1024,1042,1043,1047,1064,
1090,1099,1141,1180,1343,1359,1371,1533,1579,1592,1603,1780,1897,1956,2178,
2179,2191,2199,2206,2302,2335,2569,2874,2876,2901,2924,3005,3211,3435,3680,
4013],[1,2,3,4,5,6,8,9,11,15,16,18,21,24,25,26,28,30,31,33,37,41,44,52,60,67,
78,83,84,85,86,105,111,121,130,131,135,139,144,145,148,152,156,157,169,181,182
,184,202,207,216,222,301,306,311,333,372,387,388,421,425,432,435,437,451,459,
469,495,502,510,543,552,573,587,601,651,655,659,744,866,873,885,972,1005,1009,
1015,1025,1042,1043,1064,1093,1102,1141,1157,1343,1359,1367,1532,1580,1588,
1603,1772,1892,1949,2178,2191,2200,2205,2302,2344,2569,2874,2901,2925,3006,
3209,3432,3680,4014],[1,2,4,5,6,8,9,10,11,12,13,19,20,22,23,26,28,29,32,35,38,
40,44,50,57,65,71,73,75,76,77,87,107,108,121,130,132,136,139,141,145,148,153,
155,156,173,174,180,188,189,201,206,216,218,221,261,262,263,281,331,379,386,
387,420,423,428,429,433,436,438,447,457,471,484,485,500,507,528,551,556,569,
593,607,651,658,661,742,866,867,906,971,984,1007,1011,1017,1021,1022,1039,1041
,1045,1059,1098,1104,1139,1168,1343,1358,1371,1527,1577,1592,1602,1778,1891,
1948,2179,2189,2201,2207,2300,2346,2569,2873,2877,2902,2928,3004,3211,3434,
3677,4015],[1,2,4,6,7,9,10,12,13,14,19,20,22,23,26,29,35,39,44,50,63,65,71,73,
75,76,77,81,108,110,124,130,132,136,140,141,142,146,151,156,159,188,189,195,
204,208,216,221,227,281,286,288,289,339,375,393,420,423,428,429,433,436,438,
447,457,467,497,498,505,507,551,561,574,595,609,651,658,661,764,861,869,904,
971,984,1007,1011,1017,1021,1022,1040,1046,1048,1063,1098,1103,1144,1181,1344,
1358,1371,1522,1578,1595,1601,1778,1890,1954,2180,2189,2201,2207,2297,2349,
2570,2875,2879,2903,2928,2999,3212,3436,3678,4016],[1,2,4,5,6,9,11,12,13,24,26
,31,40,42,49,50,57,78,82,102,118,135,136,139,141,144,153,215,216,218,238,259,
380,420,421,422,424,437,451,500,503,659,663,664,687,857,967,969,970,1004,1005,
1008,1038,1039,1058,1356,1358,1359,1360,1720,1733,1751,1813,1817,1845,2192,
2194,2200,2294,2478,2573,2899,2900,2976,3426,3461,3684,4017],[1,2,4,5,6,9,10,
12,13,19,22,23,25,26,28,29,32,35,40,44,50,65,73,75,76,77,103,107,108,110,118,
130,132,136,139,140,173,189,201,204,206,208,247,249,281,331,339,350,351,366,
369,405,429,436,438,445,446,449,452,500,505,593,595,810,848,849,852,918,958,
961,1011,1078,1080,1117,1118,1139,1144,1343,1344,1607,1608,1680,1914,1915,2179
,2180,2428,2902,2903,3193,3681,4018],[1,2,3,4,5,6,9,11,12,13,21,25,26,33,40,45
,50,57,66,86,91,113,118,131,135,136,139,141,144,153,215,216,218,254,300,382,
420,421,422,424,432,435,459,500,509,653,655,663,691,857,969,970,976,1001,1023,
1025,1038,1039,1058,1356,1358,1359,1360,1720,1744,1748,1815,1819,1846,2190,
2192,2205,2294,2476,2573,2899,2900,2977,3428,3443,3684,4019],[1,2,4,5,6,9,10,
12,13,19,20,22,23,26,28,29,32,35,40,41,44,50,51,65,71,73,74,75,76,77,101,108,
118,130,132,136,139,141,153,155,159,160,162,168,173,174,179,180,189,190,195,
199,201,206,215,219,221,258,280,281,282,332,366,369,381,383,405,414,416,423,
429,433,445,447,449,457,474,479,482,483,484,485,500,507,521,522,528,536,556,
557,559,560,561,569,576,586,593,597,607,613,619,650,652,656,660,663,743,857,
876,880,881,884,915,918,924,930,945,984,987,997,1041,1069,1078,1098,1125,1126,
1156,1167,1168,1169,1202,1203,1225,1243,1254,1343,1351,1353,1361,1366,1370,
1374,1376,1378,1512,1515,1554,1562,1584,1617,1628,1629,1642,1672,1753,1875,
2009,2166,2168,2179,2208,2211,2216,2220,2226,2311,2330,2352,2387,2407,2418,
2567,2877,2883,2888,2935,3047,3199,3203,3208,3214,3221,3420,3687,3690,3703,
3707,3713,4020],[1,2,3,4,5,6,8,10,12,13,14,15,16,17,19,20,22,23,26,28,29,30,31
,32,33,34,35,37,38,40,41,42,43,44,45,46,55,56,62,63,65,71,74,76,79,80,81,101,
108,121,130,132,136,140,143,155,158,159,160,161,162,163,164,165,168,169,170,
171,172,173,174,175,176,177,178,179,180,184,185,186,187,189,190,191,192,194,
195,197,199,201,206,215,227,231,282,285,287,289,332,367,372,379,384,386,387,
388,390,391,408,409,414,416,423,429,433,448,453,454,458,475,476,477,478,479,
483,505,506,523,525,527,532,533,534,535,537,540,541,547,548,549,550,556,557,
560,561,562,564,572,576,586,593,600,607,613,619,650,652,656,660,663,763,865,
883,885,886,887,888,889,891,892,903,906,916,922,923,926,927,931,933,935,936,
937,938,946,947,984,987,997,1048,1076,1081,1095,1124,1133,1135,1147,1152,1155,
1167,1212,1214,1222,1243,1252,1344,1351,1353,1361,1366,1370,1374,1376,1378,
1513,1516,1555,1571,1593,1619,1620,1621,1622,1624,1625,1634,1639,1643,1675,
1676,1753,1883,2007,2167,2169,2180,2208,2211,2216,2220,2226,2319,2331,2357,
2391,2404,2414,2568,2879,2886,2890,2935,3035,3200,3202,3210,3216,3220,3423,
3691,3692,3702,3709,3712,4021],[1,2,3,4,5,6,8,9,10,12,13,15,16,17,19,20,21,22,
23,26,28,29,30,31,32,33,34,35,37,38,40,41,42,43,44,45,46,50,52,55,56,62,65,68,
70,71,73,75,76,77,79,80,87,92,106,107,108,109,121,130,131,132,135,136,139,145,
156,158,159,160,161,162,163,164,165,166,168,169,170,172,173,174,175,176,177,
178,179,180,182,183,184,185,186,187,188,189,190,191,192,194,195,197,200,204,
208,209,216,231,232,262,268,270,275,278,279,281,283,338,367,372,379,384,386,
387,388,390,391,408,409,414,416,424,425,429,430,431,445,449,455,471,480,481,
486,487,488,489,497,498,500,502,511,525,526,527,532,533,534,535,537,547,548,
549,550,551,552,553,554,555,557,560,561,562,564,574,575,581,582,590,591,592,
595,602,603,604,609,617,623,651,653,655,658,659,661,664,761,866,883,885,886,
887,888,889,891,892,903,906,916,922,923,926,927,931,933,935,936,937,938,946,
947,978,988,993,994,997,1051,1071,1078,1083,1087,1089,1133,1134,1135,1160,1161
,1162,1163,1164,1165,1166,1181,1215,1216,1227,1245,1256,1343,1352,1354,1362,
1364,1367,1368,1369,1371,1375,1377,1380,1514,1526,1555,1566,1567,1588,1592,
1619,1620,1621,1622,1624,1625,1634,1639,1646,1675,1676,1761,1889,2011,2166,
2168,2178,2179,2209,2210,2212,2213,2217,2221,2227,2322,2323,2329,2345,2357,
2395,2412,2421,2569,2878,2884,2887,2888,2889,2936,3050,3201,3205,3209,3211,
3215,3217,3222,3422,3688,3689,3693,3694,3704,3711,3714,4022],[1,2,4,5,6,9,10,
11,12,13,19,20,22,23,26,28,32,35,40,41,44,50,57,65,71,73,75,76,77,87,107,108,
118,130,132,136,139,141,153,155,156,157,160,162,168,173,174,179,180,190,195,
199,201,204,206,215,218,221,261,262,263,281,331,369,381,383,405,420,423,428,
429,433,436,438,474,482,483,484,485,494,497,500,507,522,524,528,556,557,559,
560,569,593,607,613,616,650,652,656,660,663,742,857,881,884,911,924,930,942,
945,955,958,971,984,1007,1011,1017,1021,1022,1039,1041,1045,1067,1126,1139,
1168,1183,1202,1206,1207,1208,1343,1360,1366,1370,1373,1374,1376,1378,1379,
1381,1584,1629,1642,1654,1658,1669,1685,1691,1704,1778,1944,1948,2179,2195,
2215,2216,2218,2222,2223,2224,2307,2400,2418,2446,2567,2873,2877,2902,2938,
3070,3208,3221,3434,3685,3701,3703,4023],[1,2,4,5,6,8,9,10,12,13,14,19,20,22,
23,26,28,29,32,35,38,40,41,43,44,50,63,65,71,73,75,76,77,81,108,110,121,130,
132,136,140,143,153,154,155,156,158,159,160,161,162,168,171,173,179,180,188,
189,194,195,199,201,203,204,208,215,221,227,281,286,288,289,339,379,386,387,
390,408,420,423,428,429,433,436,438,474,478,482,483,484,496,497,498,505,506,
522,523,525,540,541,551,556,557,561,574,595,609,613,615,650,652,656,660,663,
764,865,903,906,914,926,937,938,944,953,960,971,984,1007,1011,1017,1021,1022,
1040,1044,1048,1068,1124,1144,1181,1184,1202,1211,1213,1214,1344,1360,1366,
1370,1373,1374,1376,1378,1379,1381,1593,1634,1643,1656,1664,1673,1687,1690,
1705,1778,1946,1954,2180,2195,2215,2216,2218,2222,2223,2224,2308,2401,2414,
2454,2568,2875,2879,2903,2938,3068,3210,3220,3436,3686,3700,3702,4024],[1,2,4,
5,6,9,10,11,12,13,22,24,26,28,32,40,41,44,50,51,57,73,74,82,100,101,118,130,
132,136,139,141,153,155,156,157,159,160,162,168,173,174,199,206,207,208,215,
218,236,237,257,258,381,383,405,414,415,420,428,429,445,474,479,500,507,521,
522,524,528,536,569,574,576,577,586,597,618,619,650,652,663,688,857,911,915,
930,942,945,955,961,971,986,987,1039,1045,1067,1069,1115,1156,1217,1225,1231,
1232,1343,1360,1361,1363,1378,1379,1562,1642,1658,1665,1669,1672,1678,1699,
1708,1721,1851,1925,2166,2179,2195,2225,2226,2307,2387,2398,2465,2567,2873,
2880,2883,2939,3053,3214,3221,3404,3685,3705,3713,4025],[1,2,4,5,6,8,9,10,12,
13,19,20,22,23,24,26,29,31,35,40,41,42,43,44,46,50,65,71,74,75,76,87,88,100,
101,107,121,130,132,136,140,143,153,154,155,156,158,160,161,162,163,164,172,
177,178,188,189,200,205,206,207,209,210,215,221,237,240,241,260,262,282,386,
388,390,408,409,414,415,420,428,429,448,480,481,505,506,522,523,525,551,562,
570,572,575,576,578,579,580,592,604,618,619,620,650,652,663,690,865,914,916,
931,936,938,944,946,951,962,971,986,987,1040,1044,1068,1081,1116,1160,1218,
1221,1222,1229,1230,1232,1344,1360,1361,1363,1378,1379,1571,1643,1660,1663,
1673,1675,1679,1701,1710,1721,1853,1924,2167,2180,2195,2225,2226,2308,2391,
2399,2464,2568,2875,2882,2886,2939,3055,3216,3220,3409,3686,3706,3712,4026],[1
,2,4,5,6,9,10,12,13,19,20,22,23,24,26,28,32,35,40,41,44,50,65,71,74,75,76,87,
88,100,101,107,118,130,132,136,139,141,153,155,160,162,168,173,174,179,180,188
,190,195,199,201,206,207,208,215,221,237,240,241,260,262,282,369,381,383,405,
415,416,423,429,433,449,457,479,483,484,494,500,507,522,528,556,557,559,560,
576,586,597,607,608,609,616,618,619,650,652,656,660,663,690,857,881,884,895,
919,924,930,942,945,955,961,984,986,994,1041,1083,1104,1115,1126,1167,1208,
1232,1246,1254,1263,1264,1343,1353,1363,1366,1370,1374,1376,1378,1515,1584,
1627,1629,1642,1648,1654,1682,1699,1708,1726,1852,1981,2168,2179,2216,2219,
2225,2398,2408,2418,2444,2567,2877,2880,2887,2937,3064,3203,3208,3221,3411,
3703,3705,3710,4027],[1,2,3,4,5,6,8,10,13,14,16,19,21,23,24,26,28,29,30,32,33,
35,37,38,40,41,43,44,45,63,65,68,79,90,92,100,107,121,130,132,136,140,143,155,
158,159,160,166,168,171,173,175,179,180,181,182,183,185,189,193,194,195,200,
201,205,207,209,210,215,227,240,246,266,268,372,379,386,387,390,391,408,415,
416,423,429,433,453,458,476,486,487,491,505,506,523,540,541,544,554,556,557,
561,582,592,598,603,605,606,610,616,618,620,650,652,656,660,663,699,865,887,
903,905,906,921,926,937,938,940,951,962,984,986,994,1048,1085,1105,1116,1124,
1163,1199,1229,1247,1250,1262,1264,1344,1353,1363,1366,1370,1374,1376,1378,
1516,1593,1634,1637,1643,1650,1651,1683,1701,1711,1726,1859,1979,2169,2180,
2216,2219,2225,2399,2402,2414,2442,2568,2879,2882,2891,2937,3063,3202,3210,
3220,3412,3702,3706,3708,4028],[1,2,3,4,5,6,8,10,12,13,16,19,20,21,22,23,26,29
,30,31,33,35,37,40,41,42,43,44,45,46,65,68,71,74,76,79,80,92,101,107,108,110,
121,130,132,136,140,143,155,158,160,161,162,163,164,166,172,175,177,178,181,
182,183,185,189,193,199,201,203,204,206,208,215,245,248,268,270,282,339,347,
372,386,388,390,391,408,409,414,416,429,436,438,448,453,458,475,476,488,489,
491,499,505,506,523,525,544,554,562,572,576,581,595,602,613,615,616,619,650,
652,663,804,865,887,905,916,921,931,936,938,940,946,953,960,987,994,1011,1081,
1085,1105,1144,1165,1184,1189,1192,1198,1199,1222,1259,1344,1353,1361,1373,
1378,1381,1516,1571,1637,1643,1649,1662,1675,1688,1692,1705,1781,1937,2042,
2167,2169,2180,2219,2222,2226,2391,2401,2402,2450,2568,2886,2891,2903,2933,
3060,3202,3216,3220,3442,3700,3708,3712,4029],[1,2,4,5,6,9,10,12,13,19,20,22,
23,26,28,32,35,40,41,44,50,51,71,73,74,75,77,87,101,107,108,118,130,132,136,
139,141,153,155,159,160,162,168,173,174,179,180,188,190,199,201,204,206,215,
239,241,258,262,280,331,347,369,381,383,405,414,416,429,436,438,445,449,457,
479,482,484,485,494,498,500,507,521,522,536,559,560,569,576,593,597,613,616,
619,650,652,663,799,857,881,895,915,919,930,942,945,955,958,987,994,1011,1069,
1083,1104,1139,1169,1183,1185,1192,1203,1208,1225,1263,1343,1353,1361,1373,
1378,1381,1515,1562,1627,1642,1648,1665,1672,1684,1691,1704,1781,1934,2044,
2166,2168,2179,2219,2222,2226,2387,2400,2408,2447,2567,2883,2887,2902,2933,
3061,3203,3214,3221,3439,3701,3710,3713,4030],[1,2,3,4,5,6,8,10,12,13,15,16,17
,19,22,23,24,26,29,30,31,32,33,34,35,37,40,41,42,43,44,45,55,65,74,79,80,81,
100,106,107,108,109,110,121,130,132,136,140,143,155,158,160,165,170,172,174,
175,176,184,185,186,187,189,191,199,200,201,203,204,205,207,208,209,210,215,
240,243,287,338,339,346,351,367,372,384,386,390,391,408,414,415,416,429,436,
438,448,453,454,458,475,476,477,479,505,506,523,532,549,583,589,590,591,592,
595,596,613,615,617,618,620,623,650,652,663,811,865,883,886,887,888,922,933,
938,951,953,960,962,986,997,1011,1076,1095,1116,1144,1184,1191,1195,1212,1229,
1238,1245,1258,1344,1351,1353,1363,1373,1378,1381,1513,1516,1615,1620,1643,
1681,1700,1701,1705,1706,1782,1916,2051,2167,2169,2180,2220,2222,2225,2399,
2401,2404,2437,2568,2882,2890,2903,2934,3057,3200,3202,3220,3449,3700,3706,
3709,4031],[1,2,4,5,6,9,10,12,13,19,22,23,24,26,28,29,32,35,40,41,44,50,65,73,
75,76,77,100,101,107,108,118,130,132,136,139,141,153,160,162,168,173,179,180,
189,199,201,204,206,207,208,215,237,240,281,331,332,346,347,366,369,381,383,
405,414,415,416,429,436,438,445,447,449,457,474,482,483,484,500,507,522,557,
586,593,595,613,616,618,619,650,652,663,809,857,876,880,881,918,945,955,958,
961,986,997,1011,1078,1098,1115,1139,1183,1191,1192,1202,1232,1243,1264,1343,
1351,1353,1363,1373,1378,1381,1512,1515,1613,1628,1642,1680,1699,1704,1782,
1913,2052,2166,2168,2179,2220,2222,2225,2398,2400,2407,2436,2567,2880,2888,
2902,2934,3056,3199,3203,3221,3447,3701,3705,3707,4032],[1,2,3,4,5,6,8,9,15,16
,24,25,26,28,30,41,42,44,45,46,52,96,97,98,99,105,111,121,130,131,135,139,145,
156,165,166,169,202,207,216,333,344,345,387,391,409,425,435,437,502,511,526,
565,566,567,568,587,611,624,651,653,664,733,866,935,985,1009,1014,1136,1141,
1282,1343,1380,1646,1689,1729,1901,2019,2020,2021,2178,2228,2466,2569,2901,
2940,3107,3222,3413,4033],[1,2,4,5,6,9,10,12,13,19,22,23,24,26,28,29,32,35,40,
41,44,50,65,73,75,76,77,100,101,107,108,118,130,132,136,139,141,153,160,162,
168,173,179,180,189,199,201,206,207,215,216,237,240,281,331,332,346,347,366,
369,405,414,415,416,420,423,428,429,433,436,438,445,447,449,457,474,482,483,
484,500,507,522,557,586,593,613,616,618,619,650,651,652,656,658,660,661,663,
809,857,918,955,971,984,986,987,994,997,1007,1011,1017,1021,1022,1038,1078,
1098,1115,1139,1183,1191,1192,1202,1232,1243,1264,1351,1353,1356,1358,1360,
1361,1363,1366,1370,1371,1373,1374,1376,1378,1379,1381,1512,1515,1613,1642,
1721,1726,1752,1753,1778,1781,1782,1810,1811,1812,1913,2052,2185,2189,2195,
2197,2201,2202,2207,2208,2211,2215,2216,2218,2219,2220,2222,2223,2224,2225,
2226,2398,2400,2407,2527,2573,2580,2588,2895,2917,2922,2928,2929,2933,2934,
2935,2937,2938,2939,3056,3226,3229,3231,3232,3470,3472,3715,3716,3717,4034],[1
,3,4,8,14,20,21,24,25,27,34,38,46,53,84,88,93,94,97,104,114,117,122,133,134,
137,147,197,276,319,354,359,365,374,399,418,419,434,456,468,512,819,854,909,
998,1088,1349,1548,1560,1698,2177,2460,3198,3671,3699,3726,4035],[1,3,4,8,14,
20,21,24,25,27,34,38,46,53,83,88,93,95,98,104,114,117,123,133,134,137,147,197,
276,320,354,360,364,373,400,418,419,434,456,468,512,820,853,908,998,1088,1349,
1547,1561,1697,2177,2461,3197,3670,3698,3725,4036],[1,3,4,8,14,20,21,24,25,27,
34,38,46,53,85,88,90,93,96,104,114,116,119,133,134,137,147,197,276,327,356,358
,363,371,403,418,419,434,456,468,512,815,850,902,998,1088,1346,1543,1556,1695,
2176,2459,3194,3667,3697,3727,4037],[1,2,3,4,5,6,10,12,13,15,16,17,19,22,23,25
,26,28,29,31,32,33,35,40,41,42,44,45,55,65,74,79,80,81,101,103,106,107,108,109
,118,130,131,132,135,136,160,165,168,172,173,179,180,184,185,186,187,189,199,
200,201,204,206,208,209,215,216,244,249,287,332,338,347,350,366,369,380,381,
382,383,405,414,416,417,423,424,425,429,430,431,433,436,438,549,557,586,590,
591,592,593,595,613,617,619,623,650,651,652,653,655,656,658,659,660,661,663,
664,812,848,849,852,876,877,878,879,880,881,918,939,945,954,955,958,961,978,
984,987,988,990,993,994,997,1006,1011,1016,1019,1020,1038,1243,1245,1351,1352,
1353,1354,1361,1362,1364,1366,1367,1368,1369,1370,1371,1374,1375,1376,1377,
1378,1380,1535,1536,1537,1538,1607,1608,1613,1614,1628,1630,1680,1699,1702,
1703,1704,1723,1725,1753,1761,1777,1781,1783,1810,1811,1812,1813,1814,1815,
1816,2208,2209,2210,2211,2212,2213,2216,2217,2220,2221,2226,2227,2358,2362,
2364,2384,2428,2435,2436,2525,2574,2575,2576,2577,2578,2579,2580,2581,2582,
2583,2584,2585,2586,2587,2588,2589,2935,2936,3105,3223,3224,3225,3227,3228,
3229,3230,3233,3234,3235,3236,3237,3238,3239,3240,3718,3719,3720,3721,3722,
3723,3724,4038],[1,4,6,8,11,34,42,48,49,120,128,144,212,385,411,439,503,638,
1027,1325,1335,2549,3477,4039],[1,4,8,11,34,46,48,49,122,128,129,148,212,399,
411,440,513,641,1029,1328,1335,2550,3477,4040],[1,4,8,11,34,46,48,49,123,128,
129,148,212,400,411,440,513,640,1029,1329,1335,2550,3477,4041],[1,2,5,6,7,8,9,
10,22,29,40,44,48,73,118,121,124,125,126,140,141,142,143,145,146,153,155,156,
159,206,208,386,393,405,439,440,441,442,443,446,447,569,574,631,861,862,864,
865,867,869,870,871,911,915,961,1319,1382,1383,1384,1385,1386,1564,1569,1577,
1578,1678,2106,2109,2547,2590,2812,2813,3478,3479,4042],[1,4,5,7,8,11,34,41,48
,49,125,128,129,157,212,402,411,442,520,642,1034,1327,1335,2553,3477,4043],[1,
2,3,4,5,6,7,8,16,19,22,28,29,32,33,41,42,44,45,46,47,48,80,118,121,124,125,126
,163,166,179,185,208,212,213,214,366,382,383,384,387,393,394,397,401,409,410,
439,440,441,442,443,581,631,645,647,648,848,878,880,947,949,1027,1028,1029,
1030,1031,1032,1033,1034,1035,1036,1037,1297,1320,1322,1338,1382,1383,1384,
1385,1386,1536,1803,1804,1805,1808,1809,2099,2142,2144,2229,2230,2231,2232,
2233,2234,2235,2236,2237,2238,2239,2566,2590,2842,2942,2943,2944,2947,2948,
3241,3242,3243,3481,3728,3729,3730,4044],[1,2,3,4,6,9,10,11,12,13,14,15,16,17,
18,19,20,21,22,23,24,25,29,31,33,35,42,44,45,49,50,51,52,53,54,55,56,57,58,59,
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,
109,110,111,112,113,114,115,116,117,140,144,156,159,163,165,166,172,177,178,
182,183,184,185,186,187,188,189,195,200,204,208,209,218,219,220,221,222,223,
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,
357,358,359,360,361,362,363,364,365,446,448,450,451,452,453,459,460,480,481,
486,487,488,489,497,498,501,503,504,505,509,510,526,527,547,548,549,550,551,
552,553,554,555,561,562,565,574,575,581,582,590,591,592,595,602,603,604,609,
617,623,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,
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,
834,835,836,837,838,839,840,841,842,843,844,845,846,1040,1043,1048,1049,1050,
1053,1054,1055,1070,1073,1074,1075,1076,1077,1079,1080,1081,1082,1084,1085,
1086,1090,1091,1092,1093,1094,1099,1100,1101,1102,1116,1118,1134,1135,1140,
1144,1160,1161,1162,1163,1164,1165,1166,1181,1215,1216,1227,1245,1256,1275,
1282,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,
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,
1506,1507,1508,1509,1510,1832,1839,1842,1843,1853,1854,1859,1860,1861,1862,
1863,1864,1873,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1892,1893,
1894,1895,1897,1899,1911,1912,1915,1916,1917,1935,1936,1937,1938,1947,1952,
1953,1954,1972,2011,2021,2070,2075,2240,2241,2242,2243,2244,2245,2246,2247,
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,
2591,2592,2611,2612,2613,2629,2631,2641,2645,2648,2651,2652,2653,2654,2655,
2656,2657,2658,2671,2692,2693,2741,2949,2950,2951,2952,2953,2954,2955,2956,
2957,2958,2959,2960,2961,2962,2963,3248,3253,3254,3259,3260,3261,3264,3267,
3271,3291,3489,3732,3739,3740,3742,3743,3744,3746,4045],[1,2,3,4,5,9,10,11,12,
13,14,15,16,17,18,19,20,21,22,23,24,25,28,32,40,41,49,50,51,52,53,54,55,56,57,
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,
107,108,109,110,111,112,113,114,115,116,117,139,153,155,157,160,162,168,173,
174,179,180,190,199,201,206,207,218,219,220,221,222,223,224,225,226,227,228,
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,
362,363,364,365,445,449,474,479,482,483,484,485,494,500,502,520,521,522,524,
528,536,556,557,559,560,569,573,576,577,586,593,597,607,608,611,613,616,618,
619,622,625,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,
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,
833,834,835,836,837,838,839,840,841,842,843,844,845,846,1039,1041,1042,1047,
1051,1067,1069,1071,1072,1078,1083,1089,1115,1117,1125,1126,1139,1141,1156,
1167,1168,1169,1183,1185,1191,1192,1202,1203,1206,1207,1208,1217,1225,1226,
1231,1232,1233,1243,1246,1254,1263,1264,1270,1271,1280,1288,1387,1388,1389,
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,
1510,1838,1840,1841,1844,1851,1852,1855,1856,1857,1858,1865,1874,1875,1876,
1877,1888,1889,1901,1907,1908,1909,1910,1913,1914,1922,1925,1934,1939,1940,
1944,1948,1949,1955,1956,1957,1958,1970,1971,1973,1981,1988,1990,2009,2017,
2032,2036,2044,2045,2052,2060,2240,2241,2242,2243,2244,2245,2246,2247,2248,
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,
2279,2280,2281,2282,2283,2284,2285,2286,2287,2288,2289,2290,2291,2292,2594,
2609,2610,2614,2616,2627,2636,2637,2638,2639,2640,2642,2643,2644,2646,2647,
2649,2650,2659,2660,2661,2670,2673,2677,2678,2679,2681,2687,2688,2689,2690,
2691,2703,2706,2708,2709,2726,2731,2949,2950,2951,2952,2953,2954,2955,2956,
2957,2958,2959,2960,2961,2962,2963,3247,3249,3250,3252,3262,3265,3266,3268,
3269,3270,3273,3274,3275,3281,3287,3288,3290,3298,3489,3731,3736,3737,3738,
3741,3745,3747,4046],[1,2,3,4,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24
,25,36,39,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70
,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,
117,146,149,150,167,196,198,218,219,220,221,222,223,224,225,226,227,228,229,
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,
363,364,365,461,462,463,465,466,470,514,515,516,517,518,563,665,666,667,668,
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,
840,841,842,843,844,845,846,1056,1057,1061,1062,1106,1107,1108,1109,1110,1112,
1113,1266,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,
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,
1505,1506,1507,1508,1509,1510,1820,1821,1822,1823,1827,1828,1848,1849,1900,
1903,1905,2062,2063,2064,2065,2067,2068,2069,2076,2240,2241,2242,2243,2244,
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,
2290,2291,2292,2601,2602,2603,2604,2608,2619,2620,2621,2624,2717,2732,2733,
2734,2735,2736,2737,2738,2742,2949,2950,2951,2952,2953,2954,2955,2956,2957,
2958,2959,2960,2961,2962,2963,3246,3263,3280,3299,3489,3734,3735,3748,4047],[1
,2,3,4,6,11,15,21,24,25,26,31,33,44,48,67,78,85,86,105,130,131,135,144,184,214
,216,301,421,425,432,435,437,439,451,459,510,651,655,659,847,972,1005,1009,
1015,1025,1033,1093,1359,1367,1511,1772,2084,2191,2200,2205,2548,2750,2925,
3187,3752,4048],[1,2,4,6,9,10,12,13,19,22,23,26,29,35,44,48,50,65,73,75,76,77,
108,130,132,136,140,141,189,214,216,281,420,423,428,429,433,436,438,439,446,
447,452,457,505,507,651,658,661,847,971,984,1007,1011,1017,1021,1022,1033,1080
,1098,1357,1358,1371,1511,1778,2084,2187,2189,2196,2201,2203,2207,2547,2750,
2923,2928,3186,3753,4049],[1,2,3,4,6,11,15,21,26,42,44,45,48,49,66,67,130,131,
135,144,165,214,216,220,421,425,432,439,503,509,510,651,653,664,847,967,972,
976,1033,1055,1335,1359,1380,1511,1714,2084,2164,2190,2191,2194,2549,2750,2907
,2964,3191,3492,3756,4050],[1,2,3,4,5,6,8,9,11,12,13,14,15,16,17,18,21,40,41,
44,50,52,54,55,57,58,59,60,61,64,67,68,69,70,118,120,121,139,141,144,145,148,
152,153,156,157,160,162,218,222,223,224,225,226,229,232,233,234,405,500,502,
507,510,522,524,629,667,669,670,857,866,867,868,873,911,1039,1042,1043,1045,
1047,1051,1058,1059,1064,1065,1067,1387,1642,1841,1844,1902,2103,2294,2300,
2301,2302,2307,2350,2594,2606,2607,2984,3308,3502,3503,3521,4051],[1,2,3,4,6,7
,8,9,11,12,13,14,15,16,17,18,21,44,47,50,52,54,55,57,58,59,60,61,64,67,68,69,
70,120,127,141,144,145,148,149,150,152,156,167,218,222,223,224,225,226,229,232
,233,234,507,510,515,516,517,518,635,667,669,670,868,875,1043,1045,1056,1057,
1058,1059,1061,1064,1065,1387,1902,1905,2301,2303,2606,2607,2608,3503,3504,
4052],[1,2,4,5,6,8,9,10,11,12,13,19,20,22,23,24,28,29,32,40,41,44,50,51,57,65,
71,73,74,75,76,77,82,87,88,100,101,107,108,118,120,121,139,141,144,145,148,153
,155,156,157,158,159,160,161,162,168,173,174,199,205,206,207,208,218,219,221,
236,237,239,240,241,257,258,260,261,262,263,280,281,282,331,332,346,347,366,
381,383,386,387,405,445,447,449,450,474,479,500,507,521,522,523,524,525,528,
536,569,570,571,572,574,576,577,578,579,586,597,618,619,620,621,629,688,689,
690,742,743,769,799,800,809,857,866,867,868,873,876,911,915,930,942,945,955,
961,1039,1041,1045,1046,1058,1059,1066,1067,1068,1069,1078,1083,1115,1137,1138
,1139,1142,1156,1217,1218,1219,1220,1221,1222,1223,1224,1225,1228,1229,1230,
1231,1232,1234,1235,1294,1317,1456,1512,1562,1563,1566,1577,1579,1584,1602,
1642,1658,1665,1669,1672,1678,1699,1708,1818,1851,1852,1874,1875,1913,1920,
1921,1923,1924,1925,1934,1948,1950,2018,2022,2023,2026,2103,2136,2294,2300,
2301,2307,2309,2311,2350,2387,2389,2393,2398,2427,2465,2650,2710,2783,2811,
2845,2965,2992,2995,3012,3014,3015,3052,3053,3073,3076,3083,3308,3378,3505,
3579,3757,3773,4053],[1,2,4,5,6,7,8,9,10,11,12,13,19,20,22,23,24,28,29,31,32,
34,35,40,41,42,43,44,46,50,51,57,65,71,73,74,75,76,77,82,87,88,100,101,107,108
,118,121,124,125,126,139,140,141,142,143,145,146,147,151,153,154,155,156,157,
158,159,160,161,162,163,164,168,172,173,174,177,178,188,189,199,200,205,206,
207,208,209,210,218,219,221,236,237,239,240,241,257,258,260,261,262,263,280,
281,282,331,332,346,347,367,381,383,384,386,388,390,393,401,402,405,408,409,
445,446,448,449,452,454,455,456,474,479,480,481,500,501,505,506,507,508,521,
522,523,524,525,528,536,551,562,569,570,571,572,574,575,576,577,578,579,580,
586,592,597,604,618,619,620,621,631,688,689,690,742,743,769,799,800,809,857,
860,861,862,863,865,866,869,870,871,874,883,911,914,915,916,930,931,936,938,
942,944,945,946,951,955,961,962,1039,1040,1041,1044,1045,1046,1050,1052,1060,
1063,1066,1067,1068,1069,1070,1078,1079,1080,1081,1082,1083,1115,1116,1137,
1138,1139,1140,1142,1143,1156,1160,1217,1218,1219,1220,1221,1222,1223,1224,
1225,1228,1229,1230,1231,1232,1234,1235,1303,1319,1320,1456,1513,1514,1562,
1563,1564,1565,1567,1569,1570,1571,1572,1575,1576,1586,1592,1594,1601,1642,
1643,1644,1658,1660,1663,1665,1669,1672,1673,1675,1678,1679,1699,1701,1708,
1710,1826,1851,1852,1853,1854,1873,1874,1875,1882,1912,1913,1920,1921,1923,
1924,1925,1934,1935,1947,1948,1950,1951,2018,2022,2023,2026,2105,2109,2143,
2295,2297,2298,2299,2307,2308,2309,2310,2312,2329,2351,2387,2388,2389,2390,
2391,2392,2393,2394,2398,2399,2426,2427,2464,2465,2650,2651,2710,2780,2784,
2812,2814,2844,2849,2967,2993,2994,2996,2997,3013,3014,3015,3016,3017,3052,
3053,3054,3055,3072,3073,3076,3077,3083,3084,3309,3379,3381,3506,3578,3579,
3758,3774,3775,4054],[1,2,4,5,6,8,9,10,11,12,13,19,20,22,23,24,28,29,32,35,40,
41,44,50,51,57,65,71,73,74,75,76,77,82,87,88,100,101,107,108,118,120,121,139,
141,144,145,148,153,155,156,157,160,162,168,173,174,179,180,188,189,190,199,
201,206,207,218,219,221,236,237,239,240,241,257,258,260,261,262,263,280,281,
282,331,332,346,347,366,369,381,386,405,445,447,449,450,457,474,479,482,483,
484,485,494,500,507,521,522,524,528,536,551,556,557,559,560,569,576,577,586,
593,597,607,608,613,616,618,619,629,688,689,690,742,743,769,799,800,809,857,
866,867,868,873,876,884,911,918,919,930,955,1039,1041,1045,1058,1059,1067,1069
,1078,1083,1098,1104,1115,1125,1126,1139,1156,1167,1168,1169,1183,1185,1191,
1192,1202,1203,1206,1207,1208,1217,1225,1231,1232,1243,1246,1254,1263,1264,
1294,1456,1512,1515,1552,1562,1577,1579,1584,1592,1613,1617,1642,1648,1658,
1818,1851,1852,1874,1875,1891,1913,1925,1934,1944,1948,1981,1988,2009,2017,
2036,2044,2052,2086,2103,2294,2300,2301,2307,2311,2330,2350,2370,2387,2398,
2400,2407,2408,2418,2650,2681,2770,2783,2965,2990,2992,3004,3012,3047,3053,
3056,3061,3064,3070,3308,3311,3505,3571,3757,3777,4055],[1,2,3,4,5,6,7,8,9,10,
12,13,14,15,16,17,19,20,21,22,23,24,28,29,30,31,32,33,34,35,37,40,41,43,44,50,
52,55,56,62,63,65,68,70,71,73,74,75,76,77,79,80,81,87,88,90,92,100,101,106,107
,108,109,110,118,121,124,125,126,139,140,141,142,143,145,146,147,151,153,154,
155,156,158,159,160,161,162,168,169,170,171,173,174,175,176,177,179,180,181,
182,184,189,190,191,193,195,199,200,201,205,206,207,208,221,227,231,232,237,
240,241,243,245,246,248,260,262,266,268,270,272,275,278,279,281,282,283,285,
286,287,288,289,331,332,338,339,346,347,351,366,367,369,372,383,387,388,393,
402,405,408,445,447,448,449,453,454,455,456,457,458,474,475,476,477,478,479,
480,482,483,484,486,491,500,502,505,506,507,522,523,525,529,532,533,534,535,
537,540,541,544,546,547,552,556,557,558,560,561,570,572,574,576,578,579,583,
586,589,590,593,598,600,602,605,606,607,613,615,616,618,619,620,631,690,699,
700,704,757,761,763,764,772,801,804,805,806,809,811,857,860,861,862,863,865,
866,869,870,871,874,880,885,891,895,914,915,918,921,922,924,931,937,942,951,
953,955,1040,1041,1044,1046,1048,1051,1060,1063,1068,1071,1072,1076,1078,1081,
1083,1085,1089,1095,1098,1103,1105,1115,1116,1124,1127,1133,1139,1144,1145,
1147,1152,1155,1161,1167,1170,1172,1175,1183,1184,1189,1191,1192,1195,1198,
1199,1201,1202,1211,1212,1213,1214,1218,1221,1222,1229,1230,1232,1238,1243,
1247,1250,1252,1258,1259,1262,1264,1297,1303,1461,1512,1513,1514,1515,1516,
1553,1554,1563,1566,1570,1571,1575,1576,1578,1585,1588,1593,1595,1599,1613,
1615,1619,1626,1642,1643,1649,1650,1654,1660,1664,1665,1826,1852,1853,1856,
1859,1876,1878,1883,1889,1890,1896,1913,1916,1924,1937,1939,1943,1946,1954,
1955,1978,1979,1986,1999,2007,2014,2033,2035,2042,2043,2051,2052,2093,2105,
2109,2295,2297,2298,2299,2308,2309,2313,2319,2322,2331,2334,2351,2371,2373,
2389,2391,2398,2399,2400,2401,2402,2403,2404,2407,2414,2417,2655,2661,2683,
2773,2775,2779,2780,2784,2967,2988,2989,2998,2999,3000,3001,3013,3032,3035,
3052,3055,3056,3057,3058,3060,3063,3065,3068,3071,3309,3313,3314,3511,3572,
3574,3758,3778,3779,4056],[1,2,4,5,6,8,9,10,11,12,13,22,23,24,28,29,40,41,44,
50,51,57,73,74,82,100,101,107,116,118,120,121,139,141,144,145,148,153,155,156,
157,160,162,168,199,201,206,207,218,236,237,239,257,258,352,366,381,386,405,
445,447,450,474,500,507,521,522,524,569,576,577,616,618,619,625,629,688,718,
778,849,857,866,867,868,873,911,930,955,1039,1045,1058,1059,1067,1069,1115,
1185,1217,1225,1231,1232,1270,1294,1446,1512,1562,1577,1579,1642,1658,1818,
1851,1925,1973,1990,2103,2147,2294,2300,2301,2307,2350,2387,2398,2679,2783,
2965,3012,3053,3308,3517,3757,4057],[1,2,3,4,5,6,8,9,10,11,12,13,16,21,22,24,
25,28,29,30,33,37,40,41,44,45,50,51,57,66,68,73,74,82,85,86,91,99,100,101,103,
113,114,118,120,121,139,141,144,145,148,153,155,156,157,160,162,168,175,181,
185,199,202,206,207,218,236,237,254,257,258,264,300,304,328,329,366,372,381,
382,386,391,392,405,445,447,450,459,469,474,490,495,500,507,509,521,522,524,
542,544,569,576,577,594,601,612,614,618,619,624,629,684,688,691,719,720,857,
866,867,868,873,878,887,911,930,955,1039,1045,1058,1059,1067,1069,1092,1115,
1158,1190,1196,1204,1217,1225,1231,1232,1268,1273,1294,1300,1390,1512,1532,
1562,1577,1579,1604,1642,1658,1818,1819,1825,1846,1851,1925,1926,1966,1991,
2053,2090,2103,2294,2300,2301,2307,2343,2350,2387,2398,2596,2694,2783,2965,
2977,2982,3012,3018,3053,3093,3308,3496,3562,3757,3780,4058],[1,2,4,5,6,8,9,10
,11,12,13,22,23,24,28,29,40,41,44,50,51,57,73,74,82,100,101,107,116,118,120,
121,139,141,144,145,148,153,155,156,157,160,162,168,199,205,206,207,218,236,
237,239,257,258,352,366,381,386,405,445,447,450,474,500,507,521,522,524,569,
576,577,618,619,620,626,629,688,718,778,849,857,866,867,868,873,911,930,955,
1039,1045,1058,1059,1067,1069,1115,1217,1225,1228,1231,1232,1272,1294,1446,
1512,1562,1577,1579,1642,1658,1818,1851,1925,1959,1969,2098,2103,2294,2300,
2301,2307,2350,2387,2398,2700,2783,2965,3012,3053,3308,3517,3757,4059],[1,2,3,
4,5,6,8,9,10,11,12,13,14,15,16,17,19,21,22,23,24,25,28,29,30,32,35,38,40,41,44
,50,51,52,54,55,57,62,63,64,65,67,68,69,70,73,74,75,76,77,79,80,81,82,89,90,91
,100,101,103,104,105,108,109,110,118,120,121,139,141,144,145,148,153,155,156,
157,160,162,168,169,170,171,173,174,175,176,179,180,181,189,195,199,201,202,
204,206,207,218,228,229,232,233,234,236,237,242,243,244,245,247,257,258,264,
265,266,273,274,281,283,284,285,286,287,290,336,340,366,369,378,379,381,383,
386,387,405,445,447,449,450,457,460,471,472,474,476,478,482,483,484,485,490,
492,497,500,502,507,510,521,522,524,528,529,531,532,533,538,539,540,543,544,
545,546,556,557,569,576,577,584,587,588,593,600,606,607,612,613,615,618,619,
629,667,688,694,695,696,700,701,756,767,784,788,857,866,867,868,873,881,884,
906,911,918,924,930,942,945,955,958,1039,1045,1047,1051,1058,1059,1067,1069,
1071,1072,1078,1090,1098,1103,1115,1117,1119,1122,1127,1128,1129,1130,1146,
1152,1154,1168,1179,1180,1186,1188,1196,1197,1202,1209,1213,1217,1225,1231,
1232,1236,1242,1247,1252,1258,1259,1261,1294,1305,1317,1432,1512,1515,1526,
1527,1528,1533,1562,1577,1579,1584,1585,1602,1603,1629,1642,1654,1658,1669,
1685,1691,1704,1818,1824,1829,1841,1851,1855,1856,1857,1867,1871,1877,1902,
1925,1928,1961,1962,1970,1975,1978,1982,1984,1993,2008,2103,2128,2294,2300,
2301,2307,2314,2330,2335,2346,2350,2387,2398,2403,2407,2413,2417,2425,2446,
2623,2667,2688,2783,2799,2845,2965,2966,2971,2972,2984,3007,3012,3019,3021,
3046,3053,3065,3079,3089,3092,3308,3371,3522,3531,3555,3757,3759,3761,4060],[1
,2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,19,20,22,23,24,25,28,30,31,32,34,35,38,
39,40,41,42,43,44,45,46,50,51,52,53,54,55,56,62,63,64,65,71,74,75,76,77,81,87,
88,92,93,100,101,103,104,105,106,107,108,109,110,118,121,124,125,126,139,140,
141,142,143,145,146,147,151,153,154,155,156,158,159,160,161,162,165,166,168,
169,170,171,173,174,175,176,177,178,179,180,186,188,190,194,195,197,199,200,
201,202,203,204,205,206,207,221,228,229,230,231,237,240,241,243,244,247,248,
249,260,262,267,269,271,272,275,276,277,280,282,286,288,289,290,336,337,340,
367,369,375,376,377,379,381,383,384,388,391,401,402,405,408,409,448,449,452,
454,455,456,457,464,467,468,470,471,473,477,478,479,480,482,484,485,487,489,
491,493,494,496,497,498,500,501,502,504,505,506,507,508,511,512,521,522,523,
525,526,528,529,530,531,532,533,534,535,536,537,538,539,541,548,557,559,560,
570,572,576,578,579,584,585,587,588,589,593,597,599,605,607,608,612,613,615,
616,617,618,619,620,631,668,690,702,703,704,755,760,766,786,787,788,857,860,
861,862,863,865,866,869,870,871,874,881,889,892,895,910,914,915,919,926,927,
930,931,933,940,942,945,951,955,958,960,1040,1041,1044,1046,1047,1049,1053,
1060,1063,1068,1072,1074,1077,1081,1082,1083,1087,1088,1089,1096,1104,1111,
1115,1116,1117,1118,1119,1120,1123,1126,1130,1131,1132,1133,1150,1151,1154,
1155,1169,1171,1173,1175,1176,1177,1187,1188,1189,1200,1201,1203,1208,1210,
1211,1215,1218,1221,1222,1229,1230,1232,1236,1237,1242,1246,1248,1254,1257,
1258,1260,1261,1263,1264,1303,1307,1320,1433,1513,1514,1515,1518,1519,1522,
1523,1525,1526,1529,1530,1531,1534,1563,1570,1571,1575,1576,1584,1585,1586,
1587,1594,1596,1600,1621,1627,1642,1643,1644,1646,1648,1651,1660,1665,1670,
1672,1684,1687,1691,1692,1704,1706,1826,1830,1831,1840,1842,1852,1853,1858,
1860,1861,1864,1866,1869,1872,1885,1888,1904,1924,1929,1962,1963,1964,1970,
1972,1976,1977,1981,1983,1985,1986,1994,1996,2006,2105,2109,2134,2295,2297,
2298,2299,2308,2309,2315,2320,2333,2334,2337,2339,2348,2351,2389,2391,2398,
2399,2405,2408,2409,2412,2413,2415,2418,2419,2424,2425,2447,2449,2625,2669,
2687,2692,2780,2784,2800,2803,2844,2846,2967,2970,2973,2974,2975,2986,3008,
3009,3013,3020,3022,3031,3037,3052,3055,3062,3064,3078,3081,3088,3090,3091,
3092,3309,3372,3374,3525,3532,3552,3554,3758,3760,3762,4061],[1,2,4,5,6,8,9,10
,11,12,13,22,24,28,29,31,40,41,42,44,46,49,50,51,57,73,74,78,82,96,100,101,102
,118,120,121,139,141,144,145,148,153,155,156,157,160,162,168,172,199,206,207,
218,236,237,238,257,258,259,316,366,380,381,386,388,389,405,409,445,447,450,
451,474,500,503,507,513,520,521,522,524,569,573,576,577,611,618,619,622,629,
671,687,688,716,717,857,866,867,868,873,877,911,930,946,955,1039,1045,1058,
1059,1067,1069,1084,1115,1217,1225,1226,1231,1232,1233,1271,1294,1318,1388,
1512,1562,1577,1579,1580,1642,1647,1658,1817,1818,1845,1847,1851,1907,1922,
1925,1957,1958,2103,2139,2294,2300,2301,2307,2350,2387,2397,2398,2595,2616,
2783,2965,2976,2978,3011,3012,3053,3082,3308,3493,3580,3757,3776,4062],[1,2,3,
4,6,8,9,11,12,13,14,15,16,17,18,21,44,50,52,54,55,57,58,59,60,61,64,67,68,69,
70,120,129,141,144,145,148,152,156,218,222,223,224,225,226,229,232,233,234,507
,510,639,667,669,670,868,1043,1045,1058,1059,1064,1065,1387,1902,2301,2606,
2607,3503,3549,4063],[1,2,4,5,6,8,9,10,11,12,13,14,19,20,22,23,25,28,29,32,35,
38,40,41,44,50,57,63,65,71,73,75,76,77,81,87,89,93,103,107,108,110,118,120,121
,139,141,144,145,148,153,155,156,157,158,159,160,161,162,168,171,173,174,179,
180,188,189,190,195,199,201,202,204,205,206,208,218,221,227,242,246,247,248,
249,261,262,263,265,267,281,286,288,289,331,339,350,351,366,369,378,379,381,
383,386,387,405,445,447,449,457,460,471,472,474,477,478,482,483,484,485,492,
493,494,497,498,500,507,522,523,524,525,528,540,541,551,556,557,559,560,561,
569,570,571,572,574,578,585,593,595,599,607,609,612,613,615,616,620,621,629,
695,698,703,742,764,773,801,802,810,857,866,867,868,873,881,884,906,911,915,
918,919,924,930,942,945,955,958,961,1039,1041,1045,1046,1058,1059,1067,1068,
1072,1078,1083,1098,1103,1104,1117,1119,1124,1126,1137,1139,1142,1151,1153,
1155,1168,1181,1183,1184,1186,1187,1188,1189,1193,1194,1195,1197,1200,1202,
1206,1207,1208,1210,1211,1213,1214,1219,1220,1221,1223,1241,1251,1257,1260,
1262,1294,1305,1317,1457,1512,1515,1526,1527,1528,1533,1552,1554,1562,1563,
1566,1577,1584,1592,1602,1629,1642,1654,1658,1669,1678,1680,1682,1684,1685,
1691,1704,1824,1829,1855,1858,1866,1867,1874,1876,1890,1891,1914,1918,1920,
1928,1929,1939,1942,1944,1946,1948,1950,1985,1987,2004,2015,2027,2028,2030,
2041,2043,2049,2103,2128,2294,2300,2301,2307,2309,2315,2330,2345,2346,2350,
2389,2393,2400,2403,2407,2408,2418,2425,2427,2430,2446,2660,2662,2725,2770,
2783,2799,2811,2845,2966,2971,2972,2989,2990,2992,2995,3004,3014,3019,3045,
3058,3066,3070,3074,3076,3078,3079,3085,3090,3308,3336,3371,3510,3516,3564,
3568,3761,3773,3777,4064],[1,2,4,5,6,7,8,9,10,11,12,13,14,19,20,22,23,25,28,29
,32,35,38,39,40,41,43,44,50,57,63,65,71,73,75,76,77,81,87,89,93,103,107,108,
110,118,121,124,125,126,139,140,141,142,143,145,146,147,151,153,154,155,156,
157,158,159,160,161,162,168,171,173,174,179,180,188,189,190,194,195,199,201,
202,203,204,205,206,208,218,221,227,242,246,247,248,249,261,262,263,265,267,
281,286,288,289,331,339,350,351,366,369,375,376,377,379,386,387,390,393,405,
408,445,446,447,449,452,457,464,467,468,470,471,473,474,477,478,482,483,484,
485,492,493,494,496,497,498,500,505,506,507,522,523,524,525,528,540,541,551,
556,557,559,560,561,569,570,571,572,574,578,585,593,595,599,607,609,612,613,
615,616,620,621,631,695,698,703,742,764,773,801,802,810,857,860,861,862,863,
865,866,869,870,871,874,903,904,906,911,914,915,918,919,924,926,937,938,944,
953,958,960,961,1039,1040,1041,1044,1045,1046,1048,1060,1063,1067,1068,1072,
1077,1078,1079,1080,1083,1096,1098,1103,1104,1117,1118,1119,1120,1124,1126,
1137,1139,1142,1144,1151,1153,1155,1168,1181,1183,1184,1186,1187,1188,1189,
1193,1194,1195,1197,1200,1202,1206,1207,1208,1210,1211,1213,1214,1219,1220,
1221,1223,1241,1251,1257,1260,1262,1297,1307,1319,1457,1512,1515,1518,1519,
1522,1523,1525,1526,1529,1530,1531,1534,1552,1554,1564,1565,1566,1569,1578,
1592,1593,1595,1601,1634,1642,1643,1656,1664,1673,1678,1680,1682,1684,1685,
1687,1690,1705,1830,1831,1855,1858,1860,1863,1866,1867,1869,1873,1874,1876,
1884,1890,1891,1914,1915,1918,1920,1928,1929,1938,1939,1942,1944,1946,1948,
1950,1954,1985,1987,2004,2015,2027,2028,2030,2041,2043,2049,2105,2109,2131,
2295,2297,2298,2299,2307,2308,2309,2321,2332,2345,2347,2349,2351,2388,2390,
2401,2403,2405,2407,2408,2414,2424,2425,2427,2430,2454,2656,2660,2662,2725,
2775,2779,2800,2803,2812,2849,2970,2973,2974,2975,2989,2990,2993,2997,2999,
3000,3016,3020,3034,3059,3066,3068,3074,3076,3078,3079,3081,3086,3087,3309,
3337,3376,3512,3514,3567,3568,3762,3775,3779,4065],[1,2,3,4,5,6,7,8,9,10,12,13
,15,16,17,19,20,21,22,23,25,28,30,31,32,33,34,35,37,38,39,40,41,42,43,44,46,50
,51,52,55,56,62,65,68,70,71,73,74,75,76,77,79,80,81,87,91,92,93,101,103,106,
107,108,109,110,118,121,124,125,126,139,140,141,142,143,145,146,147,151,153,
154,155,156,158,159,160,161,162,163,164,168,170,173,174,175,176,178,179,180,
181,182,184,187,188,190,191,192,193,194,195,197,199,201,202,203,204,205,206,
209,210,219,221,231,232,239,241,244,245,247,248,249,258,262,264,267,268,270,
272,275,278,279,280,281,282,283,284,287,288,331,332,338,339,347,350,351,367,
369,372,375,376,377,379,381,383,384,388,401,402,405,408,409,445,448,449,452,
453,454,457,458,464,467,468,470,471,473,475,476,477,479,482,484,485,488,490,
491,493,494,496,497,498,499,500,501,502,505,506,507,508,521,522,523,525,529,
532,535,536,538,544,546,550,552,558,559,560,564,569,570,571,572,575,576,580,
584,589,591,593,596,597,600,603,605,610,612,613,615,616,619,621,631,697,701,
702,703,743,757,761,765,774,799,803,804,806,810,812,857,860,861,862,863,865,
866,869,870,871,874,881,892,895,910,914,915,916,919,921,922,923,926,927,930,
942,945,955,958,960,962,1040,1041,1044,1046,1050,1051,1052,1060,1063,1066,1068
,1069,1071,1075,1076,1077,1078,1082,1083,1085,1089,1095,1096,1097,1104,1105,
1111,1117,1118,1119,1120,1127,1131,1138,1139,1140,1143,1146,1166,1169,1174,
1175,1178,1182,1183,1184,1185,1187,1188,1189,1192,1193,1194,1196,1198,1199,
1200,1201,1203,1208,1209,1210,1212,1222,1223,1224,1225,1239,1249,1259,1261,
1263,1303,1307,1320,1460,1513,1515,1516,1518,1519,1522,1523,1525,1526,1529,
1530,1531,1534,1553,1555,1562,1563,1567,1570,1571,1572,1585,1586,1588,1594,
1599,1627,1642,1643,1644,1648,1665,1672,1679,1681,1683,1684,1687,1688,1691,
1704,1830,1831,1857,1858,1860,1862,1866,1868,1869,1875,1878,1886,1889,1896,
1898,1914,1917,1919,1921,1927,1929,1934,1936,1941,1943,1945,1947,1951,1955,
1983,1984,2000,2016,2027,2029,2031,2042,2044,2050,2105,2109,2134,2295,2297,
2298,2299,2308,2309,2310,2314,2323,2333,2334,2338,2348,2351,2387,2393,2400,
2402,2404,2405,2406,2408,2409,2417,2424,2425,2426,2431,2447,2652,2659,2663,
2724,2773,2784,2800,2803,2814,2844,2970,2973,2974,2975,2988,2991,2994,2996,
2998,3001,3015,3020,3033,3061,3067,3071,3075,3077,3078,3080,3081,3085,3089,
3309,3339,3374,3513,3515,3565,3569,3762,3774,3778,4066],[1,2,3,4,5,6,8,9,11,12
,13,14,17,19,21,23,24,25,30,31,32,33,35,37,38,40,41,42,44,45,46,49,50,57,63,66
,69,75,78,81,82,86,89,90,91,99,102,103,104,110,113,114,118,120,121,139,141,144
,145,148,153,156,157,160,162,171,176,180,181,186,187,192,195,201,202,204,207,
218,238,242,247,254,259,265,273,286,300,303,305,326,329,330,369,372,378,379,
380,382,388,389,391,392,405,409,449,451,457,459,460,469,471,472,478,484,490,
492,495,497,500,503,507,509,513,520,522,524,540,542,545,573,577,588,594,606,
612,614,615,622,624,629,685,687,691,695,721,723,724,857,866,867,868,873,879,
889,890,911,923,924,958,1039,1045,1058,1059,1067,1072,1091,1094,1103,1114,1117
,1119,1159,1179,1186,1188,1190,1197,1204,1205,1213,1226,1233,1267,1268,1274,
1300,1305,1318,1395,1515,1526,1527,1528,1532,1533,1580,1604,1642,1647,1685,
1817,1819,1824,1825,1829,1845,1846,1847,1855,1867,1922,1926,1928,1967,1992,
2055,2056,2103,2130,2294,2300,2301,2307,2342,2350,2403,2411,2425,2597,2598,
2605,2696,2799,2966,2971,2972,2976,2977,2978,2982,3011,3018,3019,3079,3082,
3093,3308,3497,3501,3563,3570,3761,3776,3780,4067],[1,2,3,4,5,6,8,9,10,11,12,
13,14,15,16,17,19,20,21,22,23,28,29,30,32,35,40,41,44,50,51,52,53,54,55,56,57,
62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,87,92,101,106,107,108,109,
110,118,120,121,139,141,144,145,148,153,155,156,157,158,159,160,161,162,168,
169,170,171,173,174,175,176,179,180,181,188,189,190,199,201,205,206,208,218,
221,228,229,230,231,232,233,234,258,261,262,263,268,269,270,271,272,275,278,
279,281,283,284,285,286,287,290,331,337,338,340,366,369,381,383,386,387,405,
445,447,449,457,474,475,476,477,479,482,483,484,491,494,500,502,507,510,521,
522,523,524,525,528,529,530,531,532,533,534,535,536,537,538,539,541,543,544,
545,546,551,557,559,560,569,570,571,572,574,576,578,583,584,585,586,589,597,
598,599,600,605,613,616,619,620,621,629,667,668,737,742,757,758,759,760,761,
762,767,857,866,867,868,873,876,880,881,895,911,915,918,919,930,942,945,955,
961,1039,1041,1045,1046,1047,1051,1058,1059,1067,1068,1069,1071,1072,1078,1083
,1089,1098,1104,1123,1126,1127,1128,1129,1130,1131,1132,1133,1137,1139,1142,
1145,1146,1147,1148,1149,1150,1151,1156,1170,1172,1173,1174,1175,1176,1178,
1183,1198,1199,1201,1202,1206,1207,1208,1212,1219,1220,1221,1223,1225,1237,
1238,1239,1240,1248,1249,1250,1253,1294,1317,1417,1512,1515,1552,1562,1563,
1566,1577,1584,1585,1592,1602,1603,1626,1627,1628,1642,1658,1665,1669,1672,
1678,1699,1708,1840,1841,1871,1872,1874,1877,1888,1889,1891,1902,1910,1920,
1930,1932,1943,1944,1948,1950,1955,1995,1996,1997,1998,1999,2000,2001,2005,
2103,2136,2294,2300,2301,2307,2309,2311,2313,2314,2315,2334,2350,2354,2387,
2389,2393,2400,2407,2408,2413,2417,2418,2427,2465,2610,2640,2664,2770,2783,
2811,2845,2984,2990,2992,2995,3004,3007,3008,3014,3021,3030,3031,3032,3033,
3044,3070,3071,3076,3095,3308,3347,3378,3527,3537,3558,3759,3773,3777,4068],[1
,2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,19,20,22,23,28,29,30,32,35,40,41,42,43,
44,45,46,50,51,52,53,54,55,56,62,63,64,65,71,73,74,75,76,77,79,80,81,101,108,
109,110,118,121,124,125,126,139,140,141,142,143,145,146,147,151,153,154,155,
156,158,159,160,161,162,163,164,165,166,168,169,170,171,173,174,175,176,179,
180,189,190,195,199,201,205,206,208,209,210,219,221,227,228,229,230,231,258,
280,281,282,283,284,285,286,287,288,289,290,332,339,340,366,369,381,383,384,
387,391,393,401,405,408,409,445,447,449,457,474,475,476,477,478,479,482,483,
484,485,500,501,502,504,505,506,507,508,511,512,521,522,523,525,526,527,528,
529,530,531,532,533,534,535,536,537,538,539,540,541,556,557,559,560,561,569,
570,571,572,574,575,576,580,581,582,583,584,585,586,593,597,598,599,600,607,
613,615,619,621,623,631,665,668,734,743,763,764,765,766,767,857,860,861,862,
863,865,866,869,870,871,874,876,880,881,884,914,915,916,918,924,930,933,935,
937,940,945,947,953,962,1040,1041,1044,1046,1047,1048,1049,1050,1052,1053,1060
,1063,1066,1068,1069,1071,1072,1078,1098,1103,1122,1123,1124,1125,1126,1130,
1131,1132,1133,1138,1140,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,
1153,1154,1155,1156,1167,1168,1169,1184,1202,1203,1209,1210,1211,1212,1213,
1214,1222,1223,1224,1225,1227,1240,1241,1242,1243,1251,1252,1253,1254,1297,
1320,1414,1512,1515,1554,1562,1563,1566,1567,1572,1578,1584,1585,1586,1587,
1593,1594,1595,1596,1600,1617,1628,1629,1642,1643,1644,1646,1662,1664,1670,
1672,1676,1679,1700,1711,1840,1842,1843,1870,1872,1875,1876,1877,1890,1904,
1911,1921,1931,1933,1945,1946,1947,1951,1952,1953,1954,2002,2003,2004,2005,
2006,2007,2008,2009,2105,2109,2142,2295,2297,2298,2299,2308,2309,2310,2311,
2313,2314,2315,2330,2351,2352,2387,2393,2395,2401,2403,2407,2413,2414,2415,
2416,2418,2419,2420,2426,2463,2609,2641,2665,2775,2779,2814,2844,2846,2986,
2989,2994,2996,2999,3000,3008,3009,3010,3015,3022,3029,3044,3045,3046,3047,
3068,3069,3077,3094,3309,3349,3380,3528,3539,3559,3760,3774,3779,4069],[1,2,3,
4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,28,29,30,31,32,33,34,35,37,
40,41,42,43,44,45,46,50,51,52,53,54,55,56,57,62,63,64,65,67,68,69,70,71,73,74,
75,76,77,79,80,81,87,92,101,106,107,108,109,110,118,121,124,125,126,139,140,
141,142,143,145,146,147,151,153,154,155,156,157,158,159,160,161,162,165,166,
168,169,170,171,172,173,174,175,176,179,180,181,182,183,184,185,186,187,188,
189,190,191,193,199,201,205,206,208,218,221,228,229,230,231,232,233,234,258,
261,262,263,268,269,270,271,272,275,278,279,281,283,284,285,286,287,290,331,
337,338,340,367,372,381,383,384,386,388,390,391,393,401,402,405,408,409,446,
448,452,453,454,458,474,475,476,477,479,482,483,484,491,494,500,501,502,504,
505,506,507,508,511,512,521,522,523,524,525,526,528,529,530,531,532,533,534,
535,536,537,538,539,541,543,544,545,546,549,551,552,553,554,555,557,558,559,
560,569,570,571,572,574,576,578,583,584,585,586,589,597,598,599,600,605,613,
616,619,620,621,631,667,668,737,742,757,758,759,760,761,762,767,857,860,861,
862,863,865,866,869,870,871,874,883,886,887,888,905,911,914,915,921,922,930,
933,938,940,942,944,945,946,955,961,1039,1040,1041,1044,1045,1046,1047,1049,
1051,1053,1060,1063,1067,1068,1070,1073,1074,1075,1076,1079,1080,1085,1086,
1095,1105,1123,1126,1127,1128,1129,1130,1131,1132,1133,1134,1137,1139,1142,
1145,1146,1147,1148,1149,1150,1151,1156,1170,1172,1173,1174,1175,1176,1178,
1183,1198,1199,1201,1202,1206,1207,1208,1212,1219,1220,1221,1223,1225,1237,
1238,1239,1240,1248,1249,1250,1253,1303,1319,1320,1417,1513,1516,1553,1564,
1565,1569,1570,1571,1584,1585,1586,1587,1588,1592,1594,1596,1599,1600,1601,
1620,1636,1637,1638,1642,1643,1644,1646,1658,1665,1669,1670,1672,1673,1678,
1699,1708,1840,1841,1842,1871,1872,1873,1878,1879,1880,1881,1887,1896,1904,
1910,1920,1930,1932,1943,1944,1948,1950,1955,1995,1996,1997,1998,1999,2000,
2001,2005,2105,2109,2143,2295,2297,2298,2299,2307,2308,2309,2312,2316,2317,
2318,2336,2351,2356,2388,2390,2394,2400,2402,2404,2413,2415,2417,2418,2419,
2421,2427,2465,2612,2640,2664,2773,2784,2812,2844,2846,2849,2986,2988,2993,
2997,2998,3001,3007,3008,3009,3016,3022,3030,3036,3041,3042,3043,3070,3071,
3076,3095,3309,3350,3381,3526,3538,3558,3760,3775,3778,4070],[1,2,3,4,5,6,8,9,
11,12,13,14,15,16,17,21,24,25,28,30,31,32,33,37,40,41,42,44,45,46,49,50,52,54,
55,57,64,66,67,68,69,70,78,82,85,86,89,90,91,102,105,113,114,118,120,121,139,
141,144,145,148,153,156,157,160,162,165,169,170,171,173,174,175,176,181,184,
202,207,218,220,229,232,233,234,238,254,255,259,274,300,301,302,303,304,305,
343,372,380,381,382,383,387,388,389,391,392,405,409,451,459,469,490,492,495,
500,502,503,507,509,510,513,520,522,524,528,529,531,532,533,539,542,543,544,
545,546,573,577,587,594,601,606,614,622,629,667,687,691,692,693,768,796,857,
866,867,868,873,885,911,935,939,942,945,1039,1045,1047,1051,1055,1058,1059,
1067,1093,1121,1127,1128,1129,1130,1157,1158,1159,1180,1190,1204,1205,1226,
1233,1244,1255,1265,1300,1317,1318,1427,1532,1580,1584,1585,1602,1603,1604,
1642,1647,1669,1817,1819,1825,1841,1845,1846,1847,1871,1902,1922,1926,1965,
1980,1989,2010,2103,2138,2294,2300,2301,2307,2344,2350,2413,2417,2423,2617,
2666,2715,2845,2976,2977,2978,2982,2984,3007,3011,3018,3021,3082,3093,3308,
3530,3533,3575,3759,3776,3780,4071],[1,2,3,4,5,6,7,8,9,10,12,13,15,16,17,19,20
,21,22,23,25,28,29,31,32,33,34,35,36,38,39,40,41,42,44,45,46,47,50,51,52,55,56
,62,65,68,70,71,73,74,75,76,77,79,80,81,87,91,92,93,101,103,106,107,108,109,
110,118,121,124,125,126,140,143,146,153,155,156,159,160,162,163,165,166,168,
172,173,174,177,178,179,180,182,183,184,185,186,187,188,189,190,195,197,198,
199,200,201,204,206,208,209,219,221,231,232,239,241,244,245,247,248,249,258,
262,264,267,268,270,272,275,278,279,280,281,282,283,284,287,288,331,332,338,
339,347,350,351,366,367,369,370,375,376,377,379,380,381,382,383,384,386,387,
388,393,394,397,398,401,402,405,409,410,446,448,452,453,454,461,464,470,474,
479,480,481,482,483,484,485,486,487,488,489,497,498,501,504,505,508,514,521,
522,526,527,528,536,547,548,549,550,551,552,553,554,555,556,557,559,560,561,
562,569,574,575,576,581,582,586,590,591,592,593,595,597,602,603,604,607,609,
613,617,619,623,631,697,701,702,703,743,757,761,765,774,799,803,804,806,810,
812,848,849,852,865,869,870,871,876,877,878,879,880,881,882,883,884,891,892,
894,895,897,898,901,904,906,910,911,915,918,919,924,927,928,929,930,939,942,
943,945,946,947,949,954,955,958,961,1050,1053,1070,1073,1080,1081,1082,1085,
1086,1111,1113,1118,1125,1126,1134,1135,1144,1156,1160,1161,1162,1163,1164,
1165,1166,1167,1168,1169,1181,1202,1203,1215,1216,1225,1227,1243,1245,1254,
1256,1297,1302,1303,1307,1319,1320,1322,1460,1513,1517,1518,1529,1530,1531,
1535,1536,1537,1538,1539,1540,1541,1542,1552,1554,1564,1569,1570,1571,1581,
1582,1586,1590,1591,1593,1594,1595,1606,1607,1608,1609,1613,1614,1617,1618,
1626,1627,1628,1629,1630,1631,1632,1633,1639,1640,1644,1645,1648,1653,1654,
1655,1658,1659,1665,1666,1668,1669,1672,1674,1678,1680,1682,1684,1685,1691,
1694,1699,1702,1703,1704,1708,1709,1861,1862,1881,1882,1915,1937,1952,2009,
2011,2093,2094,2099,2109,2131,2132,2134,2142,2143,2144,2145,2149,2304,2305,
2312,2325,2326,2327,2328,2331,2332,2333,2347,2348,2352,2353,2354,2355,2358,
2360,2361,2362,2363,2364,2365,2369,2370,2373,2374,2376,2377,2378,2379,2380,
2381,2382,2383,2384,2394,2396,2409,2410,2420,2422,2428,2429,2430,2432,2433,
2435,2436,2438,2439,2444,2445,2446,2447,2452,2453,2462,2465,2654,2762,2775,
2784,2785,2793,2794,2800,2812,2838,2839,2842,2844,2848,2852,3024,3025,3026,
3027,3048,3049,3096,3097,3098,3099,3100,3101,3102,3103,3105,3106,3108,3314,
3315,3319,3329,3337,3346,3349,3374,3375,3381,3383,3388,3581,3765,3781,3784,
3788,3789,3792,3799,4072],[1,2,3,4,5,6,8,9,10,12,13,15,16,17,19,20,21,22,23,25
,28,29,31,32,33,34,35,38,40,41,42,44,45,46,50,51,52,55,56,62,65,68,70,71,73,74
,75,76,77,79,80,81,87,91,92,93,101,103,106,107,108,109,110,118,120,121,139,141
,145,153,155,156,159,160,162,163,165,166,168,172,173,174,177,178,179,180,182,
183,184,185,186,187,188,189,190,195,197,199,200,201,204,206,208,209,219,221,
231,232,239,241,244,245,247,248,249,258,262,264,267,268,270,272,275,278,279,
280,281,282,283,284,287,288,331,332,338,339,347,350,351,366,367,369,378,379,
380,381,382,383,384,385,386,387,388,389,405,409,445,447,449,455,457,471,474,
479,480,481,482,483,484,485,486,487,488,489,497,498,500,502,507,511,521,522,
526,527,528,536,547,548,549,550,551,552,553,554,555,556,557,559,560,561,562,
569,574,575,576,581,582,586,590,591,592,593,595,597,602,603,604,607,609,613,
617,619,623,629,697,701,702,703,743,757,761,765,774,799,803,804,806,810,812,
848,849,852,857,866,867,868,876,877,878,879,880,881,882,883,884,891,892,893,
894,895,906,911,915,918,919,924,927,929,930,939,942,943,945,946,947,954,955,
958,961,1041,1051,1069,1071,1078,1083,1087,1089,1098,1117,1125,1126,1134,1135,
1139,1156,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1181,1202,1203,
1215,1216,1225,1227,1243,1245,1254,1256,1294,1295,1305,1317,1318,1460,1512,
1514,1515,1526,1527,1528,1535,1536,1537,1538,1539,1540,1541,1542,1552,1554,
1562,1566,1567,1568,1577,1584,1588,1589,1592,1602,1606,1607,1608,1609,1613,
1614,1617,1618,1626,1627,1628,1629,1630,1631,1632,1633,1639,1642,1646,1648,
1653,1654,1655,1658,1659,1665,1666,1668,1669,1672,1674,1678,1680,1682,1684,
1685,1691,1694,1699,1702,1703,1704,1708,1709,1857,1858,1875,1889,1914,1934,
1955,2009,2011,2086,2087,2097,2103,2128,2129,2136,2139,2140,2147,2304,2305,
2311,2322,2323,2324,2329,2330,2345,2346,2352,2353,2354,2355,2358,2360,2361,
2362,2363,2364,2365,2369,2370,2373,2374,2376,2377,2378,2379,2380,2381,2382,
2383,2384,2387,2395,2407,2412,2418,2421,2428,2429,2430,2432,2433,2435,2436,
2438,2439,2444,2445,2446,2447,2452,2453,2462,2465,2659,2758,2770,2782,2783,
2787,2788,2799,2811,2832,2833,2841,2843,2845,2850,3024,3025,3026,3027,3047,
3050,3096,3097,3098,3099,3100,3101,3102,3103,3105,3106,3108,3311,3312,3317,
3328,3336,3347,3348,3371,3377,3378,3382,3387,3581,3764,3782,3783,3786,3787,
3793,3798,4073],[1,2,3,4,5,6,8,9,10,12,13,15,16,17,19,20,21,22,23,25,28,29,30,
31,32,33,34,35,37,38,40,41,42,43,44,45,46,50,51,52,55,56,62,65,68,70,71,73,74,
75,76,77,79,80,81,87,91,92,93,101,103,106,107,108,109,110,118,120,121,153,154,
155,156,158,159,160,161,162,163,164,165,166,168,169,170,172,173,174,175,176,
177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,
197,199,200,201,202,203,204,205,206,208,209,210,219,221,231,232,239,241,244,
245,247,248,249,258,262,264,267,268,270,272,275,278,279,280,281,282,283,284,
287,288,331,332,338,339,347,350,351,366,367,369,372,378,379,380,381,382,383,
384,385,386,387,388,389,390,391,392,405,407,408,409,474,475,476,478,479,480,
481,482,483,484,485,486,487,488,489,490,491,493,496,497,498,499,521,522,525,
526,527,528,529,532,533,534,535,536,537,544,546,547,548,549,550,551,552,553,
554,555,556,557,558,559,560,561,562,564,569,570,571,574,575,576,578,580,581,
582,583,585,586,589,590,591,592,593,595,596,597,598,599,600,602,603,604,605,
607,609,610,612,613,615,617,619,620,621,623,629,697,701,702,703,743,757,761,
765,774,799,803,804,806,810,812,848,849,852,876,877,878,879,880,881,882,883,
884,885,886,887,888,889,890,891,892,893,894,895,903,905,906,911,913,914,915,
916,918,919,921,922,923,924,925,926,927,929,930,931,932,933,934,935,936,937,
938,939,940,941,942,943,944,945,946,947,951,952,953,954,955,958,959,960,961,
962,1125,1126,1127,1133,1134,1135,1137,1145,1148,1152,1153,1156,1160,1161,1162
,1163,1164,1165,1166,1167,1168,1169,1170,1172,1175,1181,1182,1188,1194,1195,
1196,1198,1200,1202,1203,1209,1211,1215,1216,1221,1224,1225,1227,1228,1230,
1235,1238,1241,1243,1245,1248,1249,1250,1253,1254,1256,1257,1259,1260,1261,
1293,1294,1295,1296,1300,1305,1317,1318,1460,1535,1536,1537,1538,1539,1540,
1541,1542,1552,1553,1554,1555,1606,1607,1608,1609,1613,1614,1615,1617,1618,
1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,1631,1632,1633,
1634,1636,1637,1638,1639,1648,1649,1650,1651,1652,1653,1654,1655,1656,1658,
1659,1660,1661,1662,1663,1664,1665,1666,1668,1669,1670,1671,1672,1673,1674,
1675,1676,1678,1679,1680,1681,1682,1683,1684,1685,1686,1687,1688,1690,1691,
1692,1693,1694,1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,
1711,1930,1974,1977,1984,1985,1999,2002,2009,2011,2016,2022,2025,2028,2034,
2035,2047,2085,2086,2087,2088,2090,2091,2092,2095,2097,2098,2101,2110,2116,
2117,2118,2119,2120,2121,2122,2123,2127,2128,2129,2130,2136,2137,2138,2139,
2140,2141,2147,2148,2304,2305,2352,2353,2354,2355,2356,2357,2358,2360,2361,
2362,2363,2364,2365,2369,2370,2371,2372,2373,2374,2376,2377,2378,2379,2380,
2381,2382,2383,2384,2428,2429,2430,2431,2432,2433,2434,2435,2436,2437,2438,
2439,2442,2443,2444,2445,2446,2447,2448,2449,2450,2451,2452,2453,2454,2462,
2463,2464,2465,2722,2758,2759,2760,2761,2763,2765,2766,2767,2768,2769,2776,
2777,2778,2787,2788,2789,2790,2791,2795,2796,2797,2798,2806,2807,2808,2809,
2810,2816,2817,2818,2819,2820,2821,2822,2823,2824,2825,2826,2832,2833,2834,
2835,2836,2837,2840,2841,2850,2851,2853,2854,2855,2856,3024,3025,3026,3027,
3096,3097,3098,3099,3100,3101,3102,3103,3104,3105,3106,3108,3306,3307,3310,
3321,3322,3323,3324,3325,3326,3327,3331,3332,3333,3334,3335,3341,3342,3343,
3344,3345,3351,3352,3353,3354,3355,3356,3357,3358,3359,3360,3361,3362,3363,
3364,3365,3366,3367,3368,3369,3384,3385,3386,3387,3581,3763,3771,3772,3790,
3791,3794,3795,3796,3797,3801,3802,3803,3805,3806,3807,4074],[1,2,3,4,7,8,9,15
,16,17,19,20,23,24,25,34,37,38,39,43,46,52,56,75,88,92,93,96,97,98,99,105,106,
111,116,117,119,122,127,142,145,154,164,191,192,193,194,197,203,210,253,275,
277,333,344,345,349,353,357,358,359,360,361,368,371,374,399,403,404,406,455,
467,471,496,499,511,558,564,566,567,580,596,610,636,733,807,839,840,842,843,
844,850,851,859,872,902,907,909,912,917,920,948,956,1087,1182,1276,1278,1313,
1315,1332,1508,1521,1543,1544,1551,1556,1557,1558,1559,1573,1583,1598,1610,
1611,1616,1635,1657,1667,1695,1696,2019,2114,2159,2306,2341,2359,2366,2367,
2368,2375,2385,2440,2441,2456,2457,2458,2459,2740,2752,2757,2829,2860,2870,
2983,3028,3109,3110,3111,3112,3113,3391,3392,3397,3583,3767,4075],[1,2,3,4,7,8
,9,15,16,17,19,20,23,24,25,34,37,38,39,43,46,52,56,75,88,92,93,96,97,98,99,105
,106,111,116,117,119,123,127,142,145,154,164,191,192,193,194,197,203,210,253,
275,277,333,344,345,349,353,357,358,359,360,361,368,371,373,400,403,404,406,
455,467,471,496,499,511,558,564,566,568,580,596,610,637,733,807,839,840,842,
843,844,850,851,858,872,902,907,908,912,917,920,948,956,1087,1182,1276,1277,
1312,1314,1333,1508,1520,1543,1544,1551,1556,1557,1558,1559,1574,1583,1597,
1610,1611,1616,1635,1657,1667,1695,1696,2020,2115,2160,2306,2340,2359,2366,
2367,2368,2375,2385,2440,2441,2456,2457,2458,2459,2739,2753,2756,2828,2859,
2871,2983,3028,3109,3110,3111,3112,3113,3390,3393,3398,3583,3768,4076],[1,2,3,
4,6,8,9,15,16,17,19,20,23,24,25,31,34,35,37,38,42,43,44,45,46,52,56,75,88,92,
93,96,97,98,99,105,106,111,116,117,119,120,154,156,164,165,166,177,178,186,191
,192,193,194,195,197,200,203,204,210,253,275,277,333,344,345,349,353,357,358,
359,360,361,368,371,378,385,389,392,403,406,407,480,487,489,496,497,499,526,
548,558,564,565,580,596,610,617,634,733,807,839,840,842,843,844,850,851,890,
893,902,907,912,913,917,920,925,932,934,941,948,952,956,959,1182,1215,1275,
1282,1309,1310,1311,1316,1330,1508,1543,1544,1551,1556,1557,1558,1559,1610,
1611,1616,1623,1635,1652,1657,1661,1667,1671,1686,1693,1695,1696,1707,2021,
2070,2075,2111,2124,2125,2153,2154,2155,2156,2157,2158,2306,2359,2366,2367,
2368,2375,2385,2440,2441,2451,2456,2457,2458,2459,2741,2751,2830,2831,2864,
2865,2866,2867,2868,2983,3028,3109,3110,3111,3112,3113,3370,3389,3399,3583,
3769,3808,3809,4077],[1,2,3,4,5,7,8,9,15,16,17,19,20,23,24,25,32,34,37,38,39,
41,43,46,52,56,75,88,92,93,96,97,98,99,105,106,111,116,117,119,125,127,139,142
,154,164,190,191,192,193,194,197,203,207,210,253,275,277,333,344,345,349,353,
357,358,359,360,361,368,371,376,401,402,403,404,406,449,467,496,499,502,558,
564,580,596,608,610,611,625,633,733,807,839,840,842,843,844,850,851,860,872,
902,907,910,912,917,920,948,956,1089,1141,1182,1288,1298,1299,1508,1519,1543,
1544,1551,1556,1557,1558,1559,1572,1583,1599,1610,1611,1616,1635,1657,1667,
1695,1696,1901,1940,2045,2096,2100,2102,2306,2338,2359,2366,2367,2368,2375,
2385,2440,2441,2456,2457,2458,2459,2731,2764,2771,2786,2827,2869,2983,3028,
3109,3110,3111,3112,3113,3316,3320,3396,3583,3766,3770,3804,4078],[1,2,5,6,9,
10,22,26,27,28,29,73,118,130,136,139,140,215,216,366,420,423,438,445,446,627,
660,661,848,1007,1038,1291,1343,1344,1356,1357,1811,2196,2197,2581,3115,3116,
3193,4079],[1,2,4,5,6,9,12,13,26,27,28,32,40,41,44,50,118,130,132,134,136,139,
141,153,160,162,173,215,216,217,381,383,405,420,428,429,500,507,522,627,650,
651,652,654,656,660,663,857,945,971,1038,1290,1291,1343,1356,1358,1360,1366,
1378,1379,1642,1712,1810,1814,1816,2080,2179,2185,2189,2195,2468,2469,2567,
2573,2587,3115,3118,3221,3231,3584,3810,4080],[1,2,4,5,6,9,19,23,26,27,28,32,
35,40,41,75,118,130,132,136,139,141,153,179,180,201,215,216,217,369,381,383,
416,420,433,436,449,457,484,627,650,652,656,658,660,663,857,881,1022,1038,1291
,1343,1353,1356,1358,1360,1370,1376,1381,1515,1712,1812,1814,1816,2082,2168,
2202,2207,2215,2469,2567,2573,2583,3115,3120,3203,3232,3590,3810,4081],[1,2,5,
6,9,10,22,26,27,28,29,40,73,118,130,136,139,141,153,168,199,215,216,217,366,
381,414,420,423,438,445,447,474,627,650,660,661,663,857,876,1007,1038,1291,
1343,1351,1356,1358,1360,1373,1374,1512,1712,1811,1814,2083,2166,2197,2201,
2218,2469,2567,2573,2579,3115,3121,3199,3226,3586,3810,4082],[1,2,3,4,5,9,10,
11,12,13,14,15,16,17,18,19,20,21,24,25,26,28,30,32,40,41,49,50,51,52,53,54,55,
56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,78,82,83,84,85,86,89,90,91,
94,95,96,97,98,99,100,102,103,104,105,111,112,113,114,115,130,131,132,135,136,
139,155,157,160,162,169,170,171,173,175,176,180,181,202,207,220,221,222,223,
225,226,228,229,230,231,232,233,235,257,259,264,265,266,273,274,291,292,293,
294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,
313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,333,
334,335,336,341,342,343,344,345,421,422,423,424,425,426,427,429,430,431,432,
433,435,437,490,492,495,500,502,520,521,524,533,538,539,540,542,543,544,545,
546,556,573,577,587,588,594,601,606,611,612,614,618,622,624,666,668,669,671,
672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,733,735,736,744,
745,746,747,748,749,750,751,752,753,754,756,768,829,830,831,832,833,834,967,
968,970,972,973,974,975,976,978,981,982,983,984,985,999,1001,1002,1004,1005,
1008,1009,1010,1013,1014,1015,1018,1023,1024,1025,1041,1042,1047,1051,1121,
1122,1129,1136,1141,1157,1158,1159,1179,1180,1196,1197,1204,1205,1217,1226,
1236,1244,1247,1255,1267,1268,1269,1271,1273,1274,1343,1408,1409,1410,1411,
1415,1416,1434,1714,1715,1717,1729,1731,1733,1734,1736,1737,1738,1740,1741,
1744,1745,1762,1767,1768,1769,1770,1771,1772,1773,1774,1779,1780,1838,1840,
1844,1901,1907,1908,1909,1949,1956,1966,1967,1993,2010,2039,2059,2178,2179,
2240,2472,2490,2492,2508,2509,2517,2518,2626,2638,2639,2709,2874,2876,2877,
2878,2901,3124,3247,3400,3401,3403,3413,3414,3416,3432,3435,3820,3822,3829,
4083],[1,2,4,6,9,10,11,12,13,19,20,22,23,24,27,29,31,35,42,44,49,50,51,57,65,
71,73,74,75,76,77,78,82,87,88,96,100,101,102,107,108,116,134,140,144,156,163,
172,177,178,188,189,200,209,218,219,221,236,237,238,239,240,241,257,258,259,
260,261,262,263,280,281,282,316,331,332,346,347,352,358,362,418,446,448,450,
451,452,480,481,501,503,505,551,562,565,575,592,604,671,687,688,689,690,716,
717,718,742,743,769,778,799,800,809,813,821,1040,1050,1070,1079,1080,1081,1082
,1084,1116,1140,1160,1275,1345,1388,1389,1435,1446,1447,1456,1462,1730,1832,
1853,1854,1873,1882,1912,1935,1947,2170,2256,2480,2591,2629,2631,2651,3125,
3253,3814,4084],[1,2,3,4,6,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,27,31,
33,35,42,44,45,49,51,54,55,56,57,62,65,69,70,71,74,76,77,78,79,80,81,82,86,87,
88,89,92,96,100,102,106,107,108,109,110,113,116,134,140,144,163,166,178,183,
184,186,187,188,195,200,208,219,231,234,239,240,242,243,248,254,255,257,259,
260,261,263,269,272,278,279,280,284,287,288,290,303,316,338,339,346,351,352,
358,362,419,448,452,453,459,460,481,487,501,503,504,505,550,555,565,581,590,
609,671,689,693,696,704,718,719,721,762,765,769,778,802,803,811,813,821,1050,
1053,1074,1075,1076,1077,1079,1082,1086,1094,1116,1144,1164,1275,1345,1389,
1392,1435,1448,1449,1458,1463,1730,1832,1854,1864,1880,1886,1916,1938,1952,
2175,2259,2480,2592,2629,2631,2653,3126,3254,3814,4085],[1,2,3,4,5,9,10,11,12,
13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,30,32,40,41,50,51,52,53,54,55,56,
57,58,59,60,61,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,82,87,89,90,
91,92,94,95,100,101,103,104,105,106,107,108,109,110,111,112,130,131,132,135,
136,139,153,155,157,158,160,161,162,168,169,170,171,173,174,175,176,179,180,
181,190,199,201,205,206,218,221,222,223,224,225,226,228,229,230,231,232,233,
234,236,237,242,243,244,245,247,250,251,257,258,261,262,263,264,265,266,268,
269,270,271,272,273,274,275,278,279,281,283,284,285,286,287,290,291,292,293,
294,295,296,297,298,299,331,333,334,335,336,337,338,340,414,415,416,417,420,
421,422,424,425,426,427,428,429,430,431,432,445,449,474,475,476,477,479,482,
483,484,491,494,500,502,522,523,524,525,528,529,530,531,532,533,534,535,536,
537,538,539,541,543,544,545,546,557,559,560,569,570,571,572,578,583,584,585,
586,589,597,598,599,600,605,613,616,620,621,667,668,669,670,688,694,695,696,
700,701,707,708,709,710,711,735,737,742,750,751,752,753,754,756,757,758,759,
760,761,762,767,784,788,789,791,792,793,794,969,970,971,972,973,974,975,977,
978,979,980,981,986,987,988,989,990,991,992,993,994,995,996,997,1039,1042,1047
,1051,1067,1068,1069,1071,1072,1078,1083,1089,1115,1117,1123,1126,1127,1128,
1129,1130,1131,1132,1133,1137,1145,1146,1147,1148,1149,1150,1151,1156,1170,
1172,1173,1174,1175,1176,1178,1183,1198,1199,1201,1202,1206,1207,1208,1212,
1219,1220,1221,1223,1237,1238,1239,1240,1248,1249,1250,1253,1343,1387,1415,
1417,1418,1419,1422,1423,1424,1425,1426,1432,1716,1717,1718,1719,1720,1721,
1722,1723,1724,1727,1752,1755,1756,1757,1758,1759,1760,1761,1841,1844,1851,
1855,1856,1857,1865,1871,1872,1874,1877,1888,1889,1920,1930,1932,1943,1944,
1970,1971,1995,1996,1997,1998,1999,2000,2001,2005,2166,2168,2178,2179,2242,
2471,2474,2475,2485,2486,2487,2489,2594,2610,2614,2664,2688,2689,2690,2691,
2873,2874,2876,2878,2880,2881,2883,2884,2885,2887,2888,2889,3127,3252,3402,
3403,3404,3405,3406,3407,3410,3417,3419,3421,3422,3437,3438,3811,3813,3815,
3833,3834,3835,3837,4086],[1,2,3,4,5,9,11,12,13,14,15,16,17,18,21,24,25,26,28,
30,32,40,41,49,50,52,54,55,57,58,59,60,61,64,66,67,68,69,70,72,78,82,83,84,85,
86,89,90,91,94,95,102,105,111,113,114,115,130,131,132,135,136,139,153,157,160,
162,169,170,171,173,174,175,176,181,202,207,218,220,222,223,224,225,226,229,
232,233,234,235,238,254,255,256,259,274,296,297,298,300,301,302,303,304,305,
306,307,308,309,310,311,312,313,314,315,333,341,342,343,420,421,422,424,425,
426,427,428,429,430,431,432,435,437,490,492,495,500,502,520,522,524,528,529,
531,532,533,539,542,543,544,545,546,573,577,587,594,601,606,614,622,666,667,
669,670,687,691,692,693,712,713,714,715,736,744,745,746,747,748,749,753,768,
796,797,798,967,969,970,971,972,973,974,975,976,977,978,979,980,981,1001,1004,
1005,1008,1009,1013,1015,1018,1023,1024,1025,1039,1042,1047,1051,1067,1121,
1127,1128,1129,1130,1141,1157,1158,1159,1180,1190,1204,1205,1226,1233,1244,
1255,1265,1343,1387,1416,1420,1427,1428,1429,1430,1714,1716,1717,1718,1719,
1720,1733,1736,1738,1744,1745,1748,1751,1766,1772,1773,1774,1780,1838,1841,
1844,1871,1909,1922,1926,1949,1956,1965,1980,1989,2010,2178,2179,2241,2471,
2476,2478,2492,2495,2498,2503,2594,2639,2644,2666,2873,2874,2876,2878,2901,
3128,3249,3400,3402,3403,3416,3432,3435,3811,3822,3825,4087],[1,2,3,4,5,9,10,
11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,30,32,40,41,50,51,52,53,54,
55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,82,87,
89,90,91,92,94,95,100,101,103,104,105,106,107,108,109,110,111,112,130,131,132,
135,136,139,153,155,157,160,162,169,170,171,173,174,175,176,180,181,201,202,
206,207,218,221,222,223,224,225,226,228,229,230,231,232,233,234,236,237,242,
243,244,245,247,250,251,257,258,261,262,263,264,265,266,268,269,270,271,272,
273,274,275,278,279,281,283,284,285,286,287,290,291,292,293,294,295,296,297,
298,299,331,333,334,335,336,337,338,340,420,421,422,423,424,425,426,427,428,
429,430,431,432,433,435,436,437,438,476,478,484,485,490,492,500,502,521,522,
524,528,529,531,532,533,538,539,540,543,544,545,546,556,569,576,577,584,587,
588,593,600,606,607,612,615,618,619,667,668,669,670,688,694,695,696,700,701,
707,708,709,710,711,735,737,742,750,751,752,753,754,756,757,758,759,760,761,
762,767,784,788,789,791,792,793,794,968,969,970,971,972,973,974,975,977,978,
979,980,981,982,983,984,999,1000,1002,1003,1006,1007,1008,1009,1010,1011,1012,
1016,1017,1018,1019,1020,1021,1022,1023,1024,1039,1041,1042,1047,1051,1067,
1122,1127,1128,1129,1130,1139,1141,1146,1152,1154,1168,1179,1180,1186,1188,
1196,1197,1209,1213,1217,1225,1231,1232,1236,1242,1247,1252,1258,1259,1261,
1343,1387,1415,1417,1418,1419,1422,1423,1424,1425,1426,1432,1715,1716,1717,
1718,1719,1720,1731,1732,1734,1735,1737,1739,1740,1741,1742,1743,1746,1747,
1749,1750,1763,1764,1765,1775,1776,1777,1778,1779,1780,1840,1841,1844,1871,
1908,1910,1925,1928,1948,1955,1956,1961,1962,1975,1978,1982,1984,1993,2008,
2178,2179,2242,2471,2477,2479,2490,2491,2493,2494,2496,2497,2501,2502,2594,
2638,2640,2642,2643,2667,2873,2874,2876,2877,2878,2901,2902,3129,3250,3401,
3402,3403,3414,3415,3433,3434,3435,3811,3820,3821,3823,3824,4088],[1,2,3,4,5,9
,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,30,32,40,41,50,51,52,53
,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,74,75,76,77,80,81,82,87,88
,89,90,91,92,93,94,95,100,101,103,104,105,106,107,108,109,110,111,112,130,131,
132,135,136,139,155,157,158,160,161,162,169,170,171,173,174,175,176,179,180,
181,190,199,201,202,205,206,207,221,222,223,225,226,228,229,230,231,232,233,
237,240,241,243,244,245,247,248,249,250,251,253,257,260,261,262,264,265,266,
267,269,270,271,272,273,274,275,276,277,278,280,282,285,286,288,289,290,291,
292,293,294,295,296,297,298,299,333,334,335,336,337,340,346,348,349,350,415,
416,417,421,422,423,424,425,426,427,429,430,431,432,433,435,437,449,475,478,
479,483,485,490,491,492,493,494,500,502,521,524,525,530,531,533,534,535,538,
539,540,541,543,544,545,546,556,559,560,571,572,576,577,578,579,583,584,585,
586,587,588,599,600,605,606,607,608,612,613,618,621,668,669,690,700,702,703,
704,709,710,711,735,738,739,740,750,751,752,753,754,755,756,758,760,766,769,
770,771,772,773,774,777,786,787,788,791,793,795,807,808,968,970,972,973,974,
975,978,981,982,983,984,986,989,990,991,992,993,994,999,1002,1008,1009,1010,
1018,1023,1024,1041,1042,1047,1051,1072,1083,1089,1115,1117,1122,1129,1132,
1141,1147,1149,1153,1154,1167,1170,1171,1174,1176,1177,1179,1180,1191,1194,
1196,1197,1198,1200,1203,1207,1214,1217,1218,1220,1224,1234,1236,1240,1246,
1247,1249,1251,1343,1412,1413,1415,1425,1433,1466,1472,1473,1474,1498,1499,
1715,1717,1724,1725,1726,1727,1731,1734,1737,1740,1741,1759,1760,1779,1780,
1785,1786,1840,1844,1852,1856,1858,1865,1888,1908,1940,1956,1968,1970,1993,
1994,1998,2003,2012,2014,2015,2016,2017,2018,2168,2178,2179,2287,2486,2488,
2490,2504,2505,2636,2638,2646,2687,2689,2714,2874,2876,2877,2878,2880,2881,
2885,2887,2889,2901,3134,3262,3401,3403,3407,3408,3410,3411,3414,3421,3435,
3437,3441,3816,3818,3820,3834,3836,4089],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,
18,19,20,21,24,25,26,28,30,32,40,41,50,51,52,53,54,55,56,57,58,59,60,61,62,63,
64,65,67,68,69,70,71,82,89,90,91,94,95,100,102,103,104,105,111,112,113,114,115
,130,131,132,135,136,139,155,157,160,162,169,170,171,173,175,176,180,181,202,
207,221,222,223,225,226,228,229,230,231,232,233,238,254,255,256,257,264,265,
266,273,274,291,292,293,294,295,296,297,298,299,333,334,335,336,341,342,343,
421,422,423,424,425,426,427,429,430,431,432,433,435,437,490,492,500,502,521,
524,533,538,539,540,543,544,545,546,556,577,587,588,594,606,612,614,618,622,
668,669,716,719,724,725,726,735,736,750,751,752,753,754,756,796,797,798,968,
970,972,973,974,975,978,981,982,983,984,999,1001,1002,1004,1008,1009,1010,1013
,1018,1023,1024,1041,1042,1047,1051,1122,1129,1141,1179,1180,1190,1196,1197,
1217,1233,1236,1244,1247,1265,1343,1415,1420,1480,1485,1487,1715,1717,1731,
1734,1737,1738,1740,1741,1748,1751,1766,1779,1780,1840,1844,1908,1909,1956,
1957,1965,1991,1993,2055,2178,2179,2253,2482,2490,2499,2503,2514,2638,2644,
2697,2874,2876,2877,2878,2901,3132,3268,3401,3403,3414,3416,3435,3820,3825,
4090],[1,2,3,4,5,9,11,12,13,14,15,16,17,18,21,22,23,24,25,26,28,30,32,40,41,49
,50,52,54,55,57,58,59,60,61,64,66,67,68,69,70,72,78,82,83,84,85,86,89,90,91,94
,95,101,102,105,106,107,108,109,110,111,113,114,115,130,131,132,135,136,139,
157,160,162,169,170,171,173,175,176,181,201,202,206,207,220,222,223,225,226,
229,232,233,235,236,238,242,245,250,254,255,256,259,274,296,297,298,300,301,
302,303,304,305,306,307,308,309,310,311,312,313,314,315,331,333,337,338,340,
341,342,343,421,422,424,425,426,427,429,430,431,432,435,436,437,438,490,492,
495,500,502,520,524,533,539,542,543,544,545,546,573,577,584,587,593,594,601,
606,614,615,619,622,666,669,717,720,721,723,728,729,736,737,744,745,746,747,
748,749,753,768,784,789,793,796,797,798,967,970,972,973,974,975,976,978,981,
1000,1001,1003,1004,1005,1008,1009,1011,1012,1013,1015,1018,1023,1024,1025,
1042,1047,1051,1121,1129,1139,1141,1157,1158,1159,1180,1186,1190,1204,1205,
1226,1231,1233,1242,1244,1255,1259,1265,1343,1416,1418,1420,1482,1483,1484,
1489,1714,1717,1733,1736,1738,1739,1744,1745,1746,1748,1749,1751,1765,1766,
1772,1773,1774,1780,1838,1844,1909,1910,1949,1956,1958,1961,1965,1992,2010,
2053,2056,2178,2179,2254,2483,2492,2500,2501,2503,2513,2515,2639,2642,2644,
2699,2874,2876,2878,2901,2902,3133,3269,3400,3403,3415,3416,3432,3435,3822,
3823,3825,4091],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,
26,28,30,32,40,41,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,
71,73,74,75,76,77,79,80,81,82,87,89,90,91,92,94,95,100,101,103,104,105,106,107
,108,109,110,111,112,130,131,132,135,136,139,155,157,158,160,162,168,169,170,
171,173,175,176,179,180,181,201,202,205,207,219,221,222,223,225,226,227,228,
229,230,231,232,233,239,240,244,245,246,247,249,250,251,252,253,257,258,263,
264,265,266,268,271,273,274,279,280,281,282,283,284,285,286,287,288,289,290,
291,292,293,294,295,296,297,298,299,332,333,334,335,336,337,339,340,414,416,
417,421,422,423,424,425,426,427,429,430,431,432,433,435,437,445,449,476,482,
490,491,492,494,500,502,521,523,524,533,536,537,538,539,540,541,543,544,545,
546,556,557,571,577,578,585,587,588,589,598,605,606,612,616,618,620,665,668,
669,689,697,698,699,701,705,706,708,710,711,734,735,743,750,751,752,753,754,
756,759,763,764,765,766,767,776,777,785,787,790,792,793,794,795,968,970,972,
973,974,975,978,981,982,983,984,987,988,989,990,995,996,997,999,1002,1008,1009
,1010,1018,1023,1024,1041,1042,1047,1051,1066,1069,1071,1072,1078,1117,1122,
1123,1124,1125,1129,1141,1148,1172,1176,1178,1179,1180,1185,1187,1196,1197,
1199,1206,1217,1219,1228,1229,1236,1237,1247,1250,1260,1262,1264,1343,1414,
1415,1421,1426,1431,1476,1477,1478,1490,1497,1498,1715,1717,1723,1727,1728,
1731,1734,1737,1740,1741,1753,1754,1755,1757,1779,1780,1840,1844,1857,1865,
1870,1875,1876,1877,1908,1923,1927,1956,1960,1963,1971,1974,1979,1987,1988,
1993,1997,2166,2168,2178,2179,2273,2473,2484,2485,2490,2511,2609,2638,2649,
2668,2677,2690,2874,2876,2877,2878,2881,2883,2884,2885,2888,2901,3135,3270,
3401,3403,3406,3410,3414,3418,3419,3420,3435,3438,3812,3817,3820,3830,3835,
4092],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,18,19,20,21,24,25,26,28,30,32,40,41
,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,82,89,90,91,94
,95,100,103,104,105,111,112,116,117,130,131,132,135,136,139,155,157,160,162,
169,170,171,173,175,176,180,181,202,207,221,222,223,225,226,228,229,230,231,
232,233,257,264,265,266,273,274,291,292,293,294,295,296,297,298,299,333,334,
335,336,352,353,354,355,356,357,421,422,423,424,425,426,427,429,430,431,432,
433,435,437,490,492,500,502,521,524,533,538,539,540,543,544,545,546,556,577,
587,588,606,612,618,625,626,668,669,735,750,751,752,753,754,756,778,779,780,
781,782,783,835,836,841,842,968,970,972,973,974,975,978,981,982,983,984,999,
1002,1008,1009,1010,1018,1023,1024,1026,1041,1042,1047,1051,1122,1129,1141,
1179,1180,1196,1197,1217,1236,1247,1270,1272,1283,1284,1343,1415,1469,1470,
1471,1506,1715,1717,1731,1734,1737,1740,1741,1779,1780,1787,1788,1789,1840,
1844,1908,1956,1969,1973,1993,2045,2061,2066,2178,2179,2288,2490,2519,2520,
2523,2638,2707,2708,2874,2876,2877,2878,2901,3130,3266,3401,3403,3414,3435,
3462,3820,3840,4093],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,18,19,20,21,23,24,25
,26,28,30,32,40,41,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70
,71,82,89,90,91,94,95,100,103,104,105,106,107,110,111,112,130,131,132,135,136,
139,155,157,160,162,169,170,171,173,175,176,180,181,201,202,205,207,221,222,
223,225,226,228,229,230,231,232,233,239,246,247,251,252,253,257,264,265,266,
273,274,291,292,293,294,295,296,297,298,299,333,334,335,336,337,417,421,422,
423,424,425,426,427,429,430,431,432,433,435,437,490,492,500,502,521,524,533,
538,539,540,543,544,545,546,556,577,585,587,588,589,606,612,616,618,620,668,
669,718,722,727,730,731,732,735,750,751,752,753,754,756,785,790,794,795,968,
970,972,973,974,975,978,981,982,983,984,990,995,996,999,1002,1008,1009,1010,
1018,1023,1024,1041,1042,1047,1051,1117,1122,1129,1141,1179,1180,1185,1196,
1197,1217,1228,1236,1237,1247,1262,1343,1415,1481,1486,1488,1490,1715,1717,
1728,1731,1734,1737,1740,1741,1757,1779,1780,1840,1844,1908,1956,1959,1960,
1971,1990,1993,2054,2178,2179,2281,2484,2490,2516,2522,2638,2649,2698,2874,
2876,2877,2878,2881,2901,3131,3265,3401,3403,3414,3435,3438,3817,3820,4094],[1
,2,3,4,5,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,28,30,32,40,41,50,
51,52,53,54,55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,87,88,
89,92,93,94,95,100,101,103,104,105,106,107,108,109,110,111,112,130,131,132,135
,136,139,153,155,158,160,161,162,169,170,171,173,174,175,176,179,180,190,199,
201,205,206,218,221,228,229,230,231,232,233,234,237,239,240,241,242,243,244,
246,247,248,249,250,251,252,253,258,260,261,262,263,265,267,268,269,270,271,
272,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,295,296,
299,331,333,334,335,336,337,338,340,347,349,351,415,416,417,420,422,423,424,
425,426,427,428,429,430,431,433,436,438,449,476,477,478,479,483,484,485,491,
494,500,502,521,522,525,528,529,530,531,532,533,534,535,538,539,540,541,556,
559,560,569,570,571,576,578,583,584,585,586,589,593,599,600,605,607,613,615,
616,619,620,621,667,668,690,695,702,703,704,707,710,735,737,739,741,742,752,
755,757,758,759,760,761,762,766,767,775,776,777,785,786,787,788,789,790,791,
792,794,795,799,801,803,805,807,808,968,969,971,977,978,979,980,981,982,983,
984,986,989,990,991,992,993,994,995,996,1000,1003,1006,1007,1011,1012,1016,
1017,1019,1020,1021,1022,1039,1041,1047,1051,1072,1083,1089,1115,1117,1122,
1130,1132,1137,1139,1146,1149,1151,1152,1153,1154,1167,1168,1173,1175,1176,
1183,1185,1189,1192,1193,1195,1201,1203,1208,1209,1213,1214,1221,1224,1225,
1228,1230,1235,1237,1238,1239,1240,1242,1248,1251,1252,1257,1262,1263,1343,
1417,1419,1424,1433,1466,1467,1475,1478,1479,1490,1497,1499,1504,1505,1715,
1719,1722,1725,1726,1727,1728,1732,1735,1739,1742,1743,1756,1757,1758,1759,
1760,1775,1776,1777,1778,1840,1841,1852,1855,1858,1865,1888,1910,1932,1948,
1955,1960,1964,1970,1971,1996,2003,2008,2013,2022,2030,2033,2034,2043,2044,
2046,2050,2168,2178,2179,2290,2475,2484,2487,2488,2491,2510,2512,2614,2637,
2640,2649,2678,2687,2691,2719,2873,2876,2877,2878,2880,2881,2885,2887,2889,
2902,3136,3288,3401,3402,3405,3408,3410,3411,3415,3421,3433,3434,3437,3438,
3815,3817,3821,3831,3833,3836,3838,4095],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,
19,20,21,22,23,24,25,26,28,30,32,40,41,50,51,52,53,54,55,56,57,62,63,64,65,67,
68,69,70,71,73,74,75,76,77,79,80,81,87,88,89,92,93,94,95,100,101,103,104,105,
106,107,108,109,110,111,112,130,131,132,135,136,139,153,155,158,160,161,162,
168,169,170,171,173,174,175,176,179,180,190,201,202,205,206,207,218,221,228,
229,230,231,232,233,234,237,239,240,241,242,243,244,246,247,248,249,250,251,
252,253,258,260,261,262,263,265,267,268,269,270,271,272,275,276,277,278,279,
280,281,282,283,284,285,286,287,288,289,290,295,296,299,331,333,334,335,336,
337,338,340,347,349,351,414,416,417,420,422,424,425,426,427,428,429,430,431,
435,436,437,438,445,449,477,478,482,484,485,491,493,494,500,502,522,523,525,
528,529,530,531,532,533,534,535,536,537,538,539,541,557,559,560,570,572,576,
578,579,584,585,587,588,589,593,597,599,605,607,608,612,615,616,618,619,620,
667,668,690,695,702,703,704,707,710,735,737,739,741,742,752,755,757,758,759,
760,761,762,766,767,775,776,777,785,786,787,788,789,790,791,792,794,795,799,
801,803,805,807,808,969,971,977,978,979,980,981,987,988,989,990,993,994,995,
996,997,999,1000,1002,1003,1009,1010,1011,1012,1039,1047,1051,1068,1069,1071,
1072,1078,1083,1089,1117,1123,1126,1130,1131,1132,1133,1139,1141,1150,1151,
1154,1155,1169,1171,1173,1175,1176,1177,1187,1188,1189,1200,1201,1208,1210,
1211,1218,1221,1222,1229,1230,1232,1236,1237,1242,1246,1248,1254,1257,1258,
1260,1261,1263,1264,1343,1417,1419,1424,1433,1466,1467,1475,1478,1479,1490,
1497,1499,1504,1505,1719,1722,1727,1737,1739,1747,1750,1752,1755,1757,1759,
1761,1763,1764,1781,1784,1785,1841,1855,1865,1872,1874,1877,1888,1889,1908,
1910,1924,1929,1934,1939,1940,1962,1963,1964,1971,1976,1977,1981,1983,1985,
1986,1994,1996,2006,2166,2168,2178,2179,2290,2474,2487,2502,2504,2506,2511,
2512,2610,2643,2646,2647,2669,2677,2678,2691,2873,2876,2878,2881,2883,2884,
2885,2887,2888,2889,2901,2902,3148,3275,3402,3405,3410,3414,3415,3417,3419,
3421,3422,3438,3439,3440,3441,3813,3818,3819,3824,3830,3831,3833,4096],[1,2,3,
4,5,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,28,30,32,40,41,50,51,52,
53,54,55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,82,87,88,89,
90,91,92,93,100,101,103,104,105,106,107,108,109,110,130,131,132,135,136,139,
153,155,158,160,161,162,168,169,170,171,173,174,175,176,179,180,190,199,201,
205,206,218,219,221,227,228,229,230,231,232,233,234,236,237,239,240,241,242,
243,244,245,246,247,248,249,257,258,260,261,262,263,264,265,266,267,268,269,
270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,
289,290,331,332,336,337,338,339,340,346,347,350,351,414,415,416,417,420,422,
423,424,425,426,427,428,429,430,431,433,436,438,445,449,474,475,476,477,478,
479,482,483,484,485,500,502,521,522,523,525,528,529,530,531,532,533,534,535,
536,537,538,539,540,541,556,557,559,560,569,570,571,572,576,583,584,585,586,
593,597,598,599,600,607,613,615,619,621,665,667,668,688,689,690,694,695,696,
697,698,699,700,701,702,703,704,734,737,740,741,742,743,755,756,757,758,759,
760,761,762,763,764,765,766,767,769,772,773,774,784,785,786,787,788,799,800,
801,802,803,804,805,806,809,810,811,812,968,969,971,977,978,979,980,981,982,
983,984,986,987,988,989,990,991,992,993,994,997,1000,1003,1006,1007,1011,1012,
1016,1017,1019,1020,1021,1022,1039,1041,1047,1051,1066,1068,1069,1071,1072,
1078,1083,1089,1115,1117,1122,1123,1124,1125,1126,1130,1131,1132,1133,1138,
1139,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1167,1168,
1169,1184,1202,1203,1209,1210,1211,1212,1213,1214,1222,1223,1224,1225,1240,
1241,1242,1243,1251,1252,1253,1254,1343,1413,1414,1417,1431,1432,1433,1456,
1457,1458,1459,1460,1461,1467,1468,1492,1715,1719,1721,1722,1723,1724,1725,
1726,1732,1735,1739,1742,1743,1752,1753,1754,1755,1759,1760,1761,1775,1776,
1777,1778,1781,1782,1783,1784,1840,1841,1851,1852,1855,1856,1857,1858,1870,
1872,1874,1875,1876,1877,1888,1889,1910,1913,1914,1921,1931,1933,1934,1939,
1945,1946,1948,1955,1970,2002,2003,2004,2005,2006,2007,2008,2009,2166,2168,
2178,2179,2274,2473,2474,2488,2489,2491,2506,2507,2524,2525,2526,2527,2609,
2610,2640,2647,2650,2659,2660,2661,2665,2670,2687,2688,2873,2876,2877,2878,
2880,2881,2883,2884,2885,2887,2888,2889,2902,3144,3290,3401,3402,3404,3405,
3406,3407,3408,3411,3415,3417,3418,3419,3420,3421,3422,3433,3434,3437,3439,
3440,3447,3448,3812,3813,3819,3821,3836,3837,3841,3847,3848,3849,3850,4097],[1
,2,3,4,5,9,10,11,12,13,14,15,16,17,19,21,22,23,24,25,26,28,30,32,40,41,50,51,
52,54,55,57,62,63,64,65,67,68,69,70,73,74,75,76,77,79,80,81,82,89,90,91,100,
101,103,104,105,106,107,108,109,110,111,112,130,131,132,135,136,139,153,155,
158,160,162,168,169,170,171,173,174,175,176,179,180,199,201,202,205,206,207,
218,228,229,232,233,234,236,237,240,242,243,244,245,247,249,251,252,257,258,
264,265,266,273,274,281,283,284,285,286,287,290,331,332,333,334,335,336,337,
338,339,340,346,347,348,349,350,351,414,415,416,417,420,422,424,425,426,427,
428,429,430,431,435,436,437,438,445,449,474,475,476,477,479,482,483,484,500,
502,522,523,528,529,531,532,533,536,537,538,539,541,557,569,570,571,572,583,
584,585,586,587,588,589,593,597,598,599,600,612,613,615,616,618,619,620,621,
667,688,694,695,696,700,701,734,735,737,738,739,740,741,756,767,776,777,784,
787,788,790,791,792,794,809,810,811,812,969,971,977,978,979,980,981,986,987,
988,989,990,991,992,995,996,997,999,1000,1002,1003,1009,1010,1011,1012,1039,
1047,1051,1069,1071,1072,1078,1115,1117,1123,1130,1137,1138,1139,1141,1145,
1146,1147,1148,1149,1150,1151,1156,1183,1184,1187,1188,1191,1192,1193,1194,
1195,1202,1212,1223,1229,1232,1234,1235,1236,1237,1238,1239,1240,1241,1242,
1243,1253,1258,1260,1261,1264,1343,1419,1432,1472,1474,1475,1476,1478,1491,
1492,1719,1721,1722,1723,1724,1737,1739,1747,1750,1755,1756,1757,1758,1760,
1763,1764,1782,1783,1786,1841,1851,1855,1856,1857,1877,1908,1910,1913,1914,
1932,1933,1962,1963,1970,1971,2005,2012,2013,2024,2025,2026,2027,2028,2029,
2051,2052,2166,2168,2178,2179,2266,2475,2489,2502,2505,2507,2510,2511,2614,
2636,2637,2643,2670,2677,2688,2730,2873,2876,2878,2880,2881,2883,2884,2885,
2888,2901,2902,3147,3287,3402,3404,3405,3406,3407,3414,3415,3419,3437,3438,
3447,3448,3815,3816,3824,3830,3837,3838,3841,4098],[1,2,3,4,6,10,11,12,13,14,
15,16,17,19,21,23,24,25,27,33,35,42,44,45,49,51,55,57,62,63,64,65,66,67,68,69,
70,77,78,79,82,85,86,87,89,90,91,92,96,99,100,102,103,104,105,106,107,110,113,
114,133,134,137,140,144,159,163,165,182,183,187,188,200,204,219,220,227,228,
233,239,240,246,249,257,259,263,264,265,266,268,271,273,274,279,284,300,301,
302,303,304,305,316,326,327,328,329,330,336,337,343,344,434,452,453,481,486,
488,498,501,503,504,505,509,510,527,553,565,617,665,671,684,685,686,689,697,
698,699,718,722,756,759,768,785,787,829,1048,1049,1050,1055,1075,1079,1085,
1086,1116,1118,1216,1282,1345,1389,1394,1408,1431,1488,1730,1832,1843,1854,
1859,1862,1863,1879,1972,2181,2245,2480,2481,2521,2629,2645,2693,3150,3259,
3814,4099],[1,2,3,4,6,10,11,12,13,14,15,16,17,19,21,22,23,24,25,26,42,44,45,49
,51,55,57,62,63,64,65,66,67,68,69,70,78,82,85,86,89,90,91,96,99,100,101,102,
103,104,105,108,109,110,111,112,113,114,130,131,132,135,136,140,144,165,208,
209,216,220,228,233,244,251,252,257,259,264,265,266,273,274,300,301,302,303,
304,305,316,326,327,328,329,330,332,334,336,339,340,343,344,414,416,417,421,
422,423,424,425,426,427,429,430,431,432,433,435,437,501,503,504,505,509,510,
565,623,651,653,664,671,684,685,686,727,730,734,756,768,777,790,792,829,967,
968,970,972,973,974,975,976,978,981,982,983,984,985,987,988,989,990,995,996,
997,999,1001,1002,1004,1005,1008,1009,1010,1013,1014,1015,1018,1023,1024,1025,
1049,1055,1140,1144,1282,1357,1359,1362,1364,1380,1408,1476,1481,1714,1715,
1717,1723,1727,1728,1729,1731,1733,1734,1736,1737,1738,1740,1741,1744,1745,
1753,1754,1755,1757,1762,1767,1768,1769,1770,1771,1772,1773,1774,1779,1780,
1832,1911,2187,2188,2190,2191,2193,2194,2227,2228,2243,2472,2473,2484,2485,
2490,2492,2508,2509,2511,2516,2517,2518,2522,2645,2906,2907,2931,2932,2940,
3124,3131,3135,3264,3431,3456,3597,3832,4100],[1,2,3,4,5,9,10,11,12,13,14,15,
16,17,18,19,20,21,22,23,24,25,26,28,30,32,40,41,50,51,52,53,54,55,56,57,58,59,
60,61,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,87,90,91,92,94,95,100
,101,103,104,105,106,107,108,109,110,111,112,130,131,132,135,136,139,155,157,
158,160,161,162,168,169,170,171,173,174,175,176,179,180,181,190,199,201,205,
206,222,223,225,226,228,229,230,232,233,236,237,239,240,241,242,243,244,245,
246,247,248,249,250,251,253,258,261,262,263,264,266,268,269,270,271,272,275,
278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,297,
298,331,332,334,336,337,338,339,340,346,347,349,350,351,414,415,416,417,421,
422,424,425,426,427,429,430,431,432,436,438,445,449,475,476,477,478,482,483,
485,491,494,500,502,523,524,525,530,531,533,534,535,536,537,538,539,541,543,
544,545,546,557,559,560,571,572,576,578,583,584,585,586,589,593,597,598,600,
605,607,613,615,616,619,620,621,669,700,701,708,709,710,711,734,737,739,740,
741,750,751,758,759,760,766,767,775,776,777,784,785,786,787,788,789,791,792,
793,794,795,799,800,801,802,803,804,805,806,809,810,811,812,970,972,973,974,
975,978,981,986,987,988,989,990,991,992,993,994,995,996,997,1000,1003,1011,
1012,1042,1047,1051,1069,1071,1072,1078,1083,1089,1115,1117,1123,1129,1132,
1138,1139,1147,1148,1150,1154,1155,1169,1170,1172,1174,1176,1178,1184,1186,
1189,1192,1193,1195,1198,1199,1206,1207,1210,1211,1219,1220,1222,1230,1231,
1235,1237,1240,1241,1242,1243,1249,1250,1254,1257,1259,1263,1343,1418,1425,
1426,1445,1467,1468,1473,1475,1477,1479,1491,1492,1498,1504,1505,1717,1723,
1724,1727,1739,1746,1749,1755,1757,1759,1760,1765,1781,1782,1783,1784,1844,
1856,1857,1865,1877,1888,1910,1913,1914,1933,1934,1939,1961,1964,1970,1971,
1997,1998,2006,2013,2023,2031,2035,2036,2041,2042,2047,2049,2166,2168,2178,
2179,2289,2485,2486,2501,2506,2507,2510,2512,2637,2642,2647,2670,2678,2689,
2690,2718,2874,2876,2878,2880,2881,2883,2884,2885,2887,2888,2889,2902,3145,
3298,3403,3406,3407,3410,3415,3419,3421,3437,3438,3439,3440,3447,3448,3819,
3823,3831,3834,3835,3838,3841,4101],[1,2,3,4,5,9,11,12,13,14,15,16,17,18,19,20
,21,23,24,25,26,28,30,32,40,41,50,52,53,54,55,56,60,63,64,67,71,75,78,81,82,83
,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,102,103,104,105,106,107,
110,111,112,113,114,115,116,117,130,131,132,135,136,139,157,158,160,161,162,
169,170,171,173,174,176,179,180,181,190,202,207,222,229,230,253,260,262,267,
269,271,272,274,275,276,277,286,296,297,298,301,306,311,316,317,318,319,320,
321,322,323,324,325,326,327,328,329,330,333,334,335,336,337,341,342,343,344,
345,349,352,353,354,355,356,357,358,359,360,361,362,363,364,365,416,421,422,
425,426,427,429,432,435,437,449,490,492,493,495,500,502,525,530,531,534,535,
539,541,543,559,560,573,577,579,587,588,594,601,606,608,611,612,614,618,622,
624,625,626,733,735,736,739,744,753,755,760,795,807,808,813,814,815,816,817,
818,819,820,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,
845,846,972,981,985,989,993,994,999,1001,1002,1004,1005,1008,1009,1010,1013,
1014,1015,1018,1023,1024,1025,1026,1042,1047,1072,1083,1089,1132,1136,1141,
1157,1171,1177,1180,1200,1218,1236,1244,1246,1267,1268,1269,1270,1271,1272,
1273,1274,1279,1280,1281,1283,1284,1285,1286,1287,1288,1289,1343,1434,1466,
1493,1494,1495,1496,1506,1507,1508,1509,1510,1729,1737,1738,1759,1762,1767,
1768,1769,1770,1771,1772,1780,1785,1787,1788,1789,1888,1901,1908,1909,1940,
1949,1956,1994,2038,2039,2040,2045,2048,2060,2066,2071,2072,2073,2074,2168,
2178,2179,2292,2504,2518,2523,2529,2531,2646,2708,2709,2720,2726,2731,2874,
2876,2885,2887,2889,2901,3149,3274,3413,3414,3416,3421,3432,3435,3441,3462,
3818,3829,3840,3844,3857,4102],[1,2,3,4,7,10,11,12,13,14,15,16,17,18,19,21,23,
24,25,27,36,39,47,51,54,55,57,58,59,60,61,62,63,64,65,67,68,69,70,77,79,82,87,
89,90,91,92,100,103,104,105,106,107,110,133,134,137,146,149,150,198,219,224,
225,226,227,228,233,234,239,240,242,243,246,249,250,251,257,263,264,265,266,
268,271,273,274,279,284,336,337,348,349,434,461,462,463,470,514,515,516,517,
518,665,670,689,696,697,698,699,707,708,709,738,739,756,759,775,785,787,789,
791,1061,1062,1112,1113,1266,1347,1348,1350,1423,1431,1472,1505,1730,1827,1828
,1903,1905,2069,2076,2182,2183,2184,2255,2480,2481,2521,2624,3150,3263,4103],[
1,2,3,4,6,9,10,11,12,13,14,15,16,17,19,21,22,23,24,25,26,29,31,33,35,42,44,45,
49,50,51,52,54,55,57,62,63,64,65,66,67,68,69,70,73,74,75,76,77,78,79,80,81,82,
85,86,89,90,91,96,99,100,101,102,103,104,105,108,109,110,113,114,130,131,132,
135,136,140,144,165,172,184,185,186,187,189,216,218,220,228,229,232,233,234,
236,237,238,242,243,244,245,247,254,255,257,258,259,264,265,266,273,274,281,
283,284,285,286,287,290,300,301,302,303,304,305,316,326,327,328,329,330,336,
340,343,344,420,421,422,423,424,425,426,427,428,429,430,431,432,433,435,436,
437,438,446,448,450,451,452,453,459,460,501,503,504,505,509,510,549,565,651,
653,655,658,659,661,664,667,671,684,685,686,687,688,691,692,693,694,695,696,
700,701,716,717,719,720,721,723,724,756,767,768,784,788,796,829,967,968,969,
970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,999,1000,1001,
1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,
1017,1018,1019,1020,1021,1022,1023,1024,1025,1049,1055,1070,1073,1074,1075,
1076,1080,1084,1090,1091,1092,1093,1094,1282,1357,1359,1367,1368,1369,1371,
1375,1377,1380,1388,1390,1391,1392,1393,1395,1408,1427,1432,1487,1489,1714,
1715,1716,1717,1718,1719,1720,1729,1731,1732,1733,1734,1735,1736,1737,1738,
1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,1751,1762,1763,
1764,1765,1766,1767,1768,1769,1770,1771,1772,1773,1774,1775,1776,1777,1778,
1779,1780,1832,1887,1899,2187,2188,2190,2191,2193,2194,2196,2198,2199,2200,
2203,2204,2205,2206,2217,2228,2246,2471,2472,2476,2477,2478,2479,2482,2483,
2490,2491,2492,2493,2494,2495,2496,2497,2498,2499,2500,2501,2502,2503,2508,
2509,2513,2514,2515,2517,2518,2591,2592,2645,2906,2907,2909,2910,2913,2914,
2918,2919,2920,2923,2924,2925,2926,2927,2940,3124,3128,3129,3132,3133,3137,
3138,3139,3140,3141,3142,3260,3431,3451,3452,3602,3832,3839,3842,4104],[1,2,3,
4,5,9,11,12,13,14,15,16,17,18,21,22,23,24,25,26,28,30,32,40,41,50,52,54,55,60,
64,67,78,82,83,84,85,86,89,90,91,94,95,96,97,98,99,100,101,102,103,104,105,108
,109,110,111,112,113,114,115,116,117,130,131,132,135,136,139,157,160,169,170,
171,173,181,199,201,202,205,206,207,222,229,237,243,244,247,274,296,297,298,
301,306,311,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,333,
334,335,336,340,341,342,343,344,345,346,348,350,352,353,354,355,356,357,415,
417,421,422,425,426,427,429,432,435,437,490,492,495,500,502,539,543,573,577,
583,584,585,586,587,588,594,601,606,611,612,613,614,618,621,622,624,625,626,
733,735,736,738,740,744,753,777,788,821,822,823,824,825,826,827,828,829,830,
831,832,833,834,835,836,841,842,972,981,985,986,990,991,992,999,1001,1002,1004
,1005,1008,1009,1010,1013,1014,1015,1018,1023,1024,1025,1026,1042,1047,1115,
1117,1136,1141,1157,1180,1191,1194,1234,1236,1240,1244,1267,1268,1269,1270,
1271,1272,1273,1274,1283,1284,1343,1434,1474,1500,1501,1502,1503,1506,1729,
1737,1738,1760,1762,1767,1768,1769,1770,1771,1772,1780,1786,1787,1788,1789,
1901,1908,1909,1949,1956,1970,2012,2032,2037,2039,2045,2057,2058,2066,2178,
2179,2291,2505,2518,2523,2528,2530,2636,2708,2709,2728,2874,2876,2880,2881,
2901,3146,3273,3413,3414,3416,3432,3435,3437,3462,3816,3829,3840,4105],[1,2,3,
4,6,10,11,12,13,14,15,16,17,19,21,23,24,25,26,42,44,45,49,51,55,57,62,63,64,65
,66,67,68,69,70,78,82,85,86,89,90,91,96,99,100,102,103,104,105,106,107,110,113
,114,117,130,131,132,135,136,140,144,165,200,204,216,220,228,233,240,243,249,
251,257,259,264,265,266,273,274,300,301,302,303,304,305,316,326,327,328,329,
330,336,337,343,344,348,349,353,354,355,415,416,417,421,422,423,424,425,426,
427,429,430,431,432,433,435,437,501,503,504,505,509,510,565,617,651,653,664,
671,684,685,686,738,739,756,768,779,780,787,791,824,825,829,836,840,846,967,
968,970,972,973,974,975,976,978,981,982,983,984,985,986,989,990,991,992,993,
994,999,1001,1002,1004,1005,1008,1009,1010,1013,1014,1015,1018,1023,1024,1025,
1026,1049,1055,1116,1118,1282,1352,1354,1357,1359,1380,1408,1469,1472,1495,
1502,1714,1715,1717,1724,1725,1726,1727,1729,1731,1733,1734,1736,1737,1738,
1740,1741,1744,1745,1759,1760,1762,1767,1768,1769,1770,1771,1772,1773,1774,
1779,1780,1785,1786,1787,1788,1789,1832,1972,2075,2187,2188,2190,2191,2193,
2194,2221,2228,2279,2472,2486,2488,2490,2492,2504,2505,2508,2509,2517,2518,
2519,2520,2523,2528,2529,2530,2531,2645,2897,2898,2906,2907,2940,3124,3130,
3134,3146,3149,3267,3431,3446,3473,3600,3832,4106],[1,2,3,4,6,9,10,11,12,13,14
,15,16,17,19,21,22,23,24,25,26,29,31,33,35,42,44,45,49,50,51,52,54,55,57,62,63
,64,65,66,67,68,69,70,73,74,75,76,77,78,79,80,81,82,85,86,89,90,91,96,99,100,
101,102,103,104,105,108,109,110,113,114,130,131,132,135,136,141,144,165,172,
184,185,186,187,189,216,218,220,228,229,232,233,234,236,237,238,242,243,244,
245,247,254,255,257,258,259,264,265,266,273,274,281,283,284,285,286,287,290,
300,301,302,303,304,305,316,326,327,328,329,330,336,340,343,344,420,421,422,
423,424,425,426,427,428,429,430,431,432,433,435,436,437,438,447,450,451,457,
459,460,503,507,509,510,549,651,653,655,658,659,661,664,667,671,684,685,686,
687,688,691,692,693,694,695,696,700,701,716,717,719,720,721,723,724,756,767,
768,784,788,796,829,967,968,969,970,971,972,973,974,975,976,977,978,979,980,
981,982,983,984,985,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010
,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,
1055,1058,1084,1090,1091,1092,1093,1094,1098,1358,1359,1367,1368,1369,1371,
1375,1377,1380,1388,1390,1391,1392,1393,1395,1408,1427,1432,1487,1489,1714,
1715,1716,1717,1718,1719,1720,1729,1731,1732,1733,1734,1735,1736,1737,1738,
1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,1751,1762,1763,
1764,1765,1766,1767,1768,1769,1770,1771,1772,1773,1774,1775,1776,1777,1778,
1779,1780,1817,1818,1819,1824,1845,1846,1899,1902,2189,2190,2191,2194,2199,
2200,2201,2205,2206,2207,2217,2246,2471,2472,2476,2477,2478,2479,2482,2483,
2490,2491,2492,2493,2494,2495,2496,2497,2498,2499,2500,2501,2502,2503,2508,
2509,2513,2514,2515,2517,2518,2595,2596,2597,2598,2617,2623,2715,2900,2907,
2910,2914,2924,2925,2926,2927,2928,3124,3128,3129,3132,3133,3137,3138,3139,
3140,3141,3142,3279,3426,3427,3428,3429,3430,3443,3452,3461,3602,3827,3828,
3845,3846,3856,3858,3862,4107],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,19,21,22,
23,24,25,26,28,32,40,41,50,51,52,54,55,57,62,63,64,65,67,68,69,70,73,74,75,76,
77,79,80,81,82,89,90,91,100,101,103,104,105,106,107,108,109,110,111,112,130,
131,132,135,136,139,153,160,162,168,173,179,180,199,201,206,207,215,218,228,
229,232,233,234,236,237,240,242,243,244,245,247,249,251,252,257,258,264,265,
266,273,274,281,283,284,285,286,287,290,331,332,333,334,335,336,337,338,339,
340,346,347,348,349,350,351,414,415,416,417,420,421,422,423,424,425,426,427,
428,429,430,431,432,433,435,436,437,438,445,449,474,482,483,484,500,502,522,
557,586,593,613,616,618,619,650,652,656,660,663,667,688,694,695,696,700,701,
734,735,737,738,739,740,741,756,767,776,777,784,787,788,790,791,792,794,809,
810,811,812,968,969,970,971,972,973,974,975,977,978,979,980,981,982,983,984,
986,987,988,989,990,991,992,993,994,995,996,997,999,1000,1002,1003,1006,1007,
1008,1009,1010,1011,1012,1016,1017,1018,1019,1020,1021,1022,1023,1024,1039,
1047,1051,1069,1071,1072,1078,1115,1117,1139,1141,1183,1191,1192,1202,1232,
1243,1264,1351,1353,1356,1360,1361,1363,1366,1370,1373,1374,1376,1378,1379,
1381,1419,1432,1472,1474,1475,1476,1478,1491,1492,1715,1716,1717,1718,1719,
1720,1721,1722,1723,1724,1725,1726,1727,1728,1731,1732,1734,1735,1737,1739,
1740,1741,1742,1743,1746,1747,1749,1750,1752,1753,1754,1755,1756,1757,1758,
1759,1760,1761,1763,1764,1765,1775,1776,1777,1778,1779,1780,1781,1782,1783,
1784,1785,1786,1841,1851,1855,1856,1857,1877,1908,1910,1913,1914,1970,1971,
2052,2185,2186,2192,2195,2197,2202,2208,2211,2215,2216,2218,2219,2220,2222,
2223,2224,2225,2226,2266,2471,2473,2474,2475,2477,2479,2484,2485,2486,2487,
2488,2489,2490,2491,2493,2494,2496,2497,2501,2502,2504,2505,2506,2507,2510,
2511,2512,2524,2525,2526,2527,2614,2636,2637,2643,2670,2677,2688,2895,2896,
2899,2904,2905,2908,2911,2912,2915,2917,2921,2922,2929,2930,2933,2934,2935,
2937,2938,2939,3127,3129,3134,3135,3136,3144,3145,3147,3148,3287,3425,3444,
3445,3450,3453,3454,3455,3457,3458,3459,3460,3469,3470,3472,3603,3826,3852,
3853,3854,3859,3860,3861,4108],[1,2,3,4,5,10,11,12,13,14,15,16,17,19,21,23,24,
25,27,28,30,32,40,41,51,55,57,62,63,64,65,67,68,69,70,77,79,82,87,89,90,91,92,
100,102,103,104,105,106,107,110,113,114,116,133,134,137,155,157,158,160,162,
168,169,170,171,173,175,176,179,180,181,201,202,205,207,217,219,227,228,233,
238,239,240,246,249,254,255,257,263,264,265,266,268,271,273,274,279,284,336,
337,343,352,356,357,418,419,434,476,482,490,491,492,494,521,523,524,533,536,
537,538,539,540,541,543,544,545,546,556,557,571,577,578,585,587,588,589,594,
598,605,606,612,614,616,618,620,622,625,626,654,657,662,665,689,697,698,699,
716,719,724,756,759,778,783,785,787,796,835,998,1066,1122,1123,1124,1125,1129,
1148,1172,1176,1178,1179,1180,1185,1187,1190,1196,1197,1199,1206,1217,1219,
1228,1229,1233,1236,1237,1244,1247,1250,1260,1262,1264,1265,1270,1272,1283,
1284,1355,1365,1372,1431,1447,1449,1471,1487,1730,1870,1923,1927,1957,1960,
1963,1965,1969,1973,1974,1979,1987,1988,1991,1993,1997,2055,2061,2066,2214,
2267,2480,2481,2521,2668,2675,2680,2697,2701,2703,2707,2916,3125,3126,3150,
3295,3463,3464,3465,3604,3843,3863,3864,4109],[1,2,4,5,6,7,8,10,12,23,28,29,31
,32,34,38,39,40,41,42,44,46,77,118,119,120,121,122,123,124,125,126,127,128,129
,143,146,155,162,168,172,174,201,204,366,367,376,380,381,383,384,385,386,387,
388,389,393,399,400,401,402,403,404,405,409,464,470,482,485,629,630,631,632,
633,634,635,636,637,638,639,640,641,642,849,871,876,877,883,930,942,946,958,
1294,1295,1297,1299,1303,1304,1317,1318,1319,1320,1321,1330,1331,1332,1333,
1531,1539,1691,1790,1791,1792,1793,1794,1795,1796,2086,2087,2136,2139,2143,
2147,2149,2535,2537,2539,2540,2541,2832,2833,2941,3152,3155,3163,3165,3170,
3476,3631,3632,3638,3866,4110],[1,2,4,5,6,7,8,10,13,28,29,32,35,38,39,40,44,46
,51,118,119,120,121,122,123,124,125,126,127,128,129,143,146,155,168,173,189,
366,369,373,374,375,376,377,378,379,381,386,387,393,401,403,404,405,508,536,
629,630,631,632,633,634,635,636,637,638,639,640,641,642,871,876,884,904,906,
918,930,1294,1297,1299,1305,1306,1307,1308,1314,1315,1316,1317,1319,1594,1617,
1790,1791,1792,1793,1794,1795,1796,2086,2128,2131,2136,2532,2535,2542,2543,
2545,2787,2941,3152,3155,3158,3163,3475,3610,3629,3866,4111],[1,3,4,5,6,7,8,18
,21,32,33,35,36,38,39,45,46,47,72,118,119,120,121,122,123,124,125,126,127,128,
129,149,152,167,183,196,198,369,370,373,374,375,376,377,378,379,382,394,395,
396,397,398,401,403,404,410,519,563,629,630,631,632,633,634,635,636,637,638,
639,640,641,642,875,894,896,898,899,900,901,928,950,1299,1301,1302,1305,1306,
1307,1308,1314,1315,1316,1322,1323,1605,1641,1790,1791,1792,1793,1794,1795,
1796,2089,2132,2133,2146,2532,2536,2542,2543,2545,2792,2941,3153,3154,3159,
3164,3475,3611,3630,3867,4112],[1,4,5,6,7,8,25,32,35,38,39,46,97,118,119,120,
121,122,123,124,125,126,127,128,129,369,373,374,375,376,377,378,379,401,403,
404,567,629,630,631,632,633,634,635,636,637,638,639,640,641,642,852,854,856,
1299,1305,1306,1307,1308,1314,1315,1316,1560,1790,1791,1792,1793,1794,1795,
1796,2532,2542,2543,2545,2754,2941,3162,3475,3609,4113],[1,4,5,6,7,8,25,32,35,
38,39,46,98,118,119,120,121,122,123,124,125,126,127,128,129,369,373,374,375,
376,377,378,379,401,403,404,568,629,630,631,632,633,634,635,636,637,638,639,
640,641,642,852,853,855,1299,1305,1306,1307,1308,1314,1315,1316,1561,1790,1791
,1792,1793,1794,1795,1796,2532,2542,2543,2545,2755,2941,3161,3475,3608,4114],[
1,2,3,4,5,6,7,8,9,15,16,30,31,32,33,34,37,40,41,42,43,44,45,46,52,118,119,120,
121,122,123,124,125,126,127,128,129,139,141,142,145,153,154,156,165,166,170,
175,182,184,191,193,367,368,371,372,380,382,383,384,385,388,389,391,392,399,
400,401,402,405,406,407,408,409,411,412,413,502,511,526,529,552,558,629,630,
631,632,633,634,635,636,637,638,639,640,641,642,857,858,859,860,861,862,863,
864,866,867,868,872,911,912,913,914,917,920,921,922,933,934,939,940,941,943,
957,963,964,965,1293,1295,1298,1300,1303,1304,1309,1310,1311,1312,1313,1318,
1320,1321,1324,1325,1326,1327,1328,1329,1551,1553,1585,1588,1589,1596,1597,
1598,1599,1646,1668,1670,1671,1677,1790,1791,1792,1793,1794,1795,1796,2085,
2102,2103,2104,2105,2106,2107,2108,2111,2112,2113,2114,2115,2122,2123,2126,
2150,2151,2152,2154,2156,2161,2162,2533,2534,2537,2538,2544,2546,2771,2773,
2774,2778,2828,2829,2830,2843,2846,2847,2857,2861,2862,2863,2941,3157,3168,
3169,3172,3173,3174,3176,3177,3181,3474,3618,3628,3640,3652,3865,4115],[1,2,4,
5,6,7,8,9,19,23,32,35,38,39,40,43,44,46,75,118,119,120,121,122,123,124,125,126
,127,128,129,139,141,142,145,153,154,156,164,180,194,195,201,203,204,210,369,
373,374,375,376,377,378,379,401,403,404,405,406,407,408,413,449,457,467,471,
484,496,497,580,629,630,631,632,633,634,635,636,637,638,639,640,641,642,857,
858,859,860,861,862,863,864,866,867,868,872,911,912,913,914,924,925,926,948,
956,957,958,959,960,963,1293,1299,1305,1306,1307,1308,1309,1314,1315,1316,1324
,1515,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1572,1583,1667,1685,
1686,1687,1790,1791,1792,1793,1794,1795,1796,2085,2101,2102,2103,2104,2105,
2106,2107,2108,2110,2111,2112,2113,2114,2115,2126,2150,2151,2152,2153,2155,
2532,2538,2542,2543,2545,2776,2786,2799,2801,2802,2803,2804,2805,2865,2870,
2871,2941,3157,3168,3169,3172,3173,3174,3178,3180,3181,3475,3607,3637,3648,
3651,3865,4116],[1,2,4,5,6,7,8,10,12,22,28,29,31,32,34,40,41,42,44,46,74,118,
119,120,121,122,123,124,125,126,127,128,129,143,146,155,162,168,172,174,206,
208,366,367,371,380,381,383,384,385,386,387,388,389,393,399,400,401,402,405,
409,411,454,576,597,629,630,631,632,633,634,635,636,637,638,639,640,641,642,
848,871,876,877,883,930,942,946,961,1294,1295,1297,1298,1303,1304,1310,1312,
1313,1317,1318,1319,1320,1321,1325,1327,1328,1329,1535,1570,1708,1790,1791,
1792,1793,1794,1795,1796,2086,2087,2097,2099,2136,2139,2143,2533,2535,2537,
2544,2546,2758,2841,2941,3152,3155,3163,3165,3171,3474,3605,3646,3866,4117],[1
,2,4,5,6,7,8,9,19,23,31,32,34,38,39,40,41,42,43,44,46,75,118,119,120,121,122,
123,124,125,126,127,128,129,139,141,142,145,153,154,156,158,163,164,177,194,
200,203,205,209,210,367,376,380,383,384,385,388,389,399,400,401,402,403,404,
405,406,407,408,409,413,449,455,467,480,496,570,575,580,629,630,631,632,633,
634,635,636,637,638,639,640,641,642,857,858,859,860,861,862,863,864,866,867,
868,872,911,912,913,914,916,929,931,932,948,951,952,954,956,957,962,963,1293,
1295,1299,1303,1304,1309,1318,1320,1321,1324,1330,1331,1332,1333,1514,1519,
1563,1567,1568,1572,1573,1574,1575,1583,1659,1660,1661,1667,1679,1790,1791,
1792,1793,1794,1795,1796,2085,2102,2103,2104,2105,2106,2107,2108,2111,2112,
2113,2114,2115,2117,2119,2124,2125,2126,2150,2151,2152,2537,2538,2539,2540,
2541,2780,2781,2782,2786,2798,2814,2815,2831,2858,2859,2860,2941,3157,3168,
3169,3172,3173,3174,3175,3179,3181,3476,3620,3627,3649,3650,3865,4118],[1,2,3,
4,8,9,11,15,16,18,21,34,37,43,48,49,52,60,66,67,72,128,154,191,193,212,213,214
,220,222,235,411,412,413,558,643,646,647,666,957,964,965,1335,1337,1677,2164,
2872,3477,3869,4119],[1,2,4,5,6,8,9,10,11,12,13,19,20,22,23,29,35,40,44,48,50,
57,65,71,73,75,76,77,87,107,108,121,139,140,141,143,145,147,148,153,155,156,
188,189,206,214,218,221,261,262,263,281,331,386,439,440,442,446,447,452,457,
500,505,507,551,569,643,742,865,866,867,1033,1039,1040,1041,1045,1059,1060,
1079,1080,1098,1104,1139,1383,1564,1577,1592,1797,1799,1801,1873,1891,1948,
2295,2300,2547,2946,2993,3004,3186,3479,3656,4120],[1,2,3,4,5,6,8,9,11,15,16,
18,21,24,25,31,33,41,44,48,52,60,67,78,83,84,85,86,105,111,121,139,144,145,148
,152,156,157,182,184,207,214,222,301,306,311,333,388,439,440,442,451,459,502,
510,552,573,643,744,866,873,1033,1042,1043,1064,1093,1102,1141,1383,1580,1588,
1797,1799,1801,1892,1949,2302,2548,2946,3006,3187,3480,3655,4121],[1,2,4,6,7,9
,10,12,13,14,19,20,22,23,29,35,44,48,50,63,65,71,73,75,76,77,81,108,110,124,
140,141,142,146,150,151,156,159,189,195,208,214,221,227,281,286,288,289,339,
393,439,441,443,446,447,452,457,505,507,561,574,644,764,861,869,1033,1040,1046
,1048,1062,1063,1077,1080,1098,1103,1144,1384,1569,1578,1595,1798,1800,1802,
1884,1890,1954,2296,2297,2547,2945,2999,3003,3186,3478,3657,4122],[1,2,3,4,5,6
,8,9,11,15,16,18,21,41,42,44,45,46,48,49,52,60,66,67,72,121,139,144,145,148,
152,156,157,165,166,214,220,222,235,409,439,440,442,502,503,509,510,511,513,
519,520,526,643,666,866,873,1033,1042,1043,1054,1055,1064,1335,1383,1646,1647,
1797,1799,1801,1838,1839,1906,2164,2302,2549,2550,2553,2872,2946,2987,3191,
3486,3658,3659,3660,3661,4123],[1,2,3,4,5,6,8,11,15,17,19,20,21,24,25,28,30,31
,32,33,35,37,38,41,42,44,46,48,56,67,78,85,86,88,93,105,116,121,144,148,157,
161,163,169,176,178,179,181,184,187,190,192,195,202,207,212,214,277,301,357,
362,363,372,379,384,387,388,390,409,439,440,442,451,459,469,493,495,510,534,
543,550,573,579,587,601,608,625,626,645,837,873,885,888,892,903,923,936,947,
1027,1029,1031,1033,1034,1037,1093,1157,1171,1280,1281,1283,1287,1289,1383,
1532,1580,1603,1624,1804,1808,2071,2230,2236,2238,2344,2548,2947,3185,3187,
3480,3664,3870,3871,3872,4124],[1,2,4,5,6,8,9,10,12,13,22,26,28,29,31,32,34,40
,42,50,51,73,74,101,118,120,121,130,139,140,141,143,153,155,168,172,173,174,
199,206,215,258,366,367,380,381,384,385,386,414,445,446,447,448,454,474,479,
500,501,528,536,569,586,597,629,650,848,857,865,876,877,883,1069,1070,1156,
1294,1295,1343,1344,1351,1512,1513,1535,1562,1564,1584,1586,2086,2087,2097,
2166,2167,2311,2312,2567,2568,2758,3193,3199,3200,3665,3878,4125],[1,2,3,4,5,6
,8,9,10,15,16,19,22,23,26,28,29,30,32,33,35,37,40,41,45,52,62,73,75,79,80,109,
118,120,121,130,139,140,141,143,153,155,170,175,179,180,185,201,206,215,283,
366,369,372,381,382,383,386,390,391,392,416,445,446,449,453,457,458,476,484,
502,504,529,538,569,584,600,629,650,848,857,865,878,880,881,887,1071,1073,1146
,1294,1296,1300,1343,1344,1353,1515,1516,1536,1562,1564,1585,1587,2090,2092,
2097,2168,2169,2314,2316,2567,2568,2759,3193,3202,3203,3666,3878,4126],[1,2,3,
4,5,6,7,8,9,10,15,16,19,22,23,26,28,29,31,32,33,34,36,41,44,45,52,62,73,75,79,
80,109,118,121,124,125,126,130,139,140,145,146,156,159,177,179,182,184,185,200
,208,216,283,366,367,370,382,383,387,388,393,394,398,402,416,445,446,449,453,
455,461,480,486,502,504,547,552,574,590,602,631,651,848,866,869,878,880,891,
897,1071,1073,1161,1297,1302,1303,1343,1344,1352,1514,1517,1536,1566,1569,1588
,1590,2093,2094,2099,2168,2169,2322,2325,2569,2570,2762,3193,3201,3204,3666,
3879,4127],[1,4,5,7,8,14,20,24,25,27,32,34,38,39,41,46,53,88,93,104,119,125,
127,134,147,151,161,171,190,197,202,207,217,276,371,376,401,402,403,404,419,
456,468,473,493,512,530,579,588,608,633,654,850,874,902,910,1088,1177,1298,
1299,1346,1355,1534,1543,1576,1600,2096,2100,2176,2337,2572,2764,3194,3207,
3667,3880,4128],[1,2,4,5,6,8,9,10,12,13,19,22,23,26,28,29,32,35,40,41,43,44,50
,65,73,75,76,77,108,118,120,121,130,132,136,139,140,141,143,153,155,158,160,
162,173,189,205,206,215,281,366,369,381,383,386,390,405,407,408,429,445,446,
449,452,500,505,506,507,522,523,569,570,571,572,621,629,650,652,663,848,849,
857,865,918,938,945,1078,1080,1223,1293,1294,1296,1343,1344,1378,1562,1563,
1564,1565,1607,1642,1643,2097,2098,2120,2179,2180,2390,2393,2567,2568,2820,
3193,3220,3221,3681,3878,4129],[1,2,4,5,6,8,9,12,13,22,23,26,28,29,32,35,38,40
,44,50,107,108,118,120,121,130,132,136,139,141,145,153,156,173,174,188,189,201
,206,215,216,331,366,369,378,379,381,386,387,405,429,436,438,500,528,551,593,
629,650,651,656,658,660,661,848,849,857,866,867,868,884,906,911,918,919,1011,
1038,1139,1294,1305,1317,1343,1366,1371,1552,1584,1592,1606,1607,1810,1811,
1812,2097,2103,2128,2147,2179,2304,2567,2569,2580,2581,2582,2770,2850,2902,
3208,3211,3236,3317,3490,3883,4130],[1,2,4,5,6,7,8,10,13,19,22,23,26,28,29,32,
35,38,39,40,44,65,108,110,118,121,124,125,126,130,132,136,140,143,146,155,159,
173,180,189,195,204,208,215,216,339,366,369,375,376,377,379,386,387,393,405,
429,436,438,505,556,561,595,631,650,651,656,658,660,661,848,849,865,869,870,
871,904,906,915,918,924,1011,1038,1144,1297,1307,1319,1344,1366,1371,1554,1593
,1595,1607,1609,1810,1811,1812,2099,2109,2131,2149,2180,2305,2568,2570,2580,
2581,2582,2775,2852,2903,3210,3212,3236,3319,3491,3884,4131],[1,2,4,5,6,8,9,10
,12,13,19,22,23,26,28,29,32,35,38,40,44,50,65,73,75,76,77,108,118,120,121,130,
132,136,139,140,141,143,153,155,173,174,180,189,201,206,215,281,366,369,378,
379,381,386,387,405,429,445,446,449,452,457,464,484,485,500,505,528,556,569,
593,607,629,650,656,660,848,849,857,865,884,906,918,1078,1080,1168,1294,1305,
1317,1343,1344,1366,1515,1518,1562,1564,1584,1593,1607,2097,2128,2147,2179,
2180,2330,2332,2567,2568,2850,3193,3208,3210,3681,3878,4132],[1,2,4,5,6,7,8,9,
10,12,13,19,22,23,26,28,29,32,35,38,39,40,44,50,65,73,75,76,77,108,118,121,124
,125,126,130,132,136,139,140,145,146,156,159,173,188,189,195,204,208,216,281,
366,369,375,376,377,379,386,387,393,405,429,445,446,449,452,470,471,497,498,
500,505,551,561,574,595,609,631,651,658,661,848,849,866,869,904,906,918,1078,
1080,1181,1297,1307,1319,1343,1344,1371,1526,1529,1566,1569,1592,1595,1607,
2099,2131,2149,2179,2180,2345,2347,2569,2570,2852,3193,3211,3212,3681,3879,
4133],[1,2,4,5,6,8,9,12,13,23,25,26,28,29,32,35,38,40,44,50,103,110,118,120,
121,130,132,136,139,141,145,153,156,173,174,188,189,201,205,215,216,247,366,
369,378,379,381,386,387,405,417,429,500,528,551,585,629,650,651,656,658,660,
661,849,852,857,866,867,868,884,906,911,918,919,990,1038,1117,1294,1305,1317,
1343,1366,1371,1552,1584,1592,1608,1609,1810,1811,1812,2098,2103,2128,2147,
2179,2439,2567,2569,2580,2585,2770,2851,2881,3208,3211,3223,3328,3490,3883,
4134],[1,2,4,5,6,8,9,11,12,13,26,28,32,40,41,44,50,57,118,120,121,130,132,136,
139,141,144,145,148,153,156,157,160,162,173,174,215,216,218,381,383,387,405,
420,428,429,500,507,522,524,528,629,650,651,652,663,857,866,867,868,873,911,
942,945,971,1038,1039,1045,1058,1059,1067,1317,1343,1356,1358,1360,1378,1379,
1584,1602,1642,1669,1810,2103,2179,2185,2189,2195,2294,2300,2301,2307,2350,
2567,2569,2573,2845,2873,3221,3231,3308,3490,3674,3677,3685,4135],[1,2,4,5,6,7
,8,9,10,12,13,19,20,26,29,35,40,41,43,44,50,65,71,118,121,124,125,126,130,132,
136,139,140,141,142,143,145,146,147,151,153,154,155,156,158,159,160,161,162,
188,189,215,216,221,386,390,393,405,408,420,428,429,500,505,506,507,522,523,
525,551,631,650,651,652,663,857,860,861,862,863,865,866,869,870,871,874,914,
915,938,944,971,1038,1040,1041,1044,1046,1060,1063,1068,1319,1344,1356,1358,
1360,1378,1379,1592,1601,1642,1643,1673,1810,2105,2109,2180,2185,2189,2195,
2295,2297,2298,2299,2308,2309,2351,2568,2570,2573,2849,2875,3220,3231,3309,
3491,3675,3678,3686,4136],[1,2,4,5,6,8,9,12,13,19,20,23,26,28,29,31,32,34,35,
38,40,41,42,44,46,50,71,75,87,107,118,120,121,130,132,136,139,141,145,153,156,
162,163,172,173,174,177,178,179,188,189,190,197,200,209,215,216,262,366,367,
369,378,379,380,381,384,385,386,387,388,389,405,409,416,429,449,455,480,481,
500,528,551,560,562,575,592,604,629,650,651,656,658,660,661,857,866,867,868,
877,882,883,884,891,892,893,906,911,918,919,927,929,946,947,954,994,1038,1083,
1160,1294,1295,1305,1317,1318,1343,1352,1364,1366,1371,1514,1552,1567,1568,
1584,1592,1614,1618,1639,1653,1659,1810,1811,1812,2087,2103,2128,2129,2139,
2140,2168,2179,2213,2329,2369,2567,2569,2580,2589,2770,2782,2788,2887,3201,
3208,3211,3217,3230,3312,3490,3694,3883,3885,4137],[1,2,4,5,6,8,9,10,12,13,22,
26,28,29,32,35,38,40,44,50,51,73,74,101,118,120,121,130,132,136,139,141,145,
153,155,156,168,173,174,188,189,199,206,215,216,258,366,369,378,379,381,386,
387,405,414,429,445,447,474,479,500,528,536,551,569,586,597,629,650,651,656,
658,660,661,857,866,867,868,876,884,906,911,918,919,930,955,987,1038,1069,1156
,1294,1305,1317,1343,1351,1361,1366,1371,1512,1552,1562,1577,1584,1592,1613,
1617,1648,1658,1810,1811,1812,2086,2103,2128,2136,2166,2179,2208,2311,2370,
2567,2569,2580,2588,2770,2783,2787,2883,3199,3208,3211,3214,3229,3311,3490,
3687,3883,3886,4138],[1,2,3,4,5,6,7,8,10,13,16,19,21,23,26,28,29,32,33,35,36,
38,39,40,44,45,47,65,68,79,92,107,118,121,124,125,126,130,132,136,140,143,146,
155,159,166,173,180,182,183,185,189,195,198,200,209,215,216,268,366,369,370,
375,376,377,379,382,386,387,393,394,397,398,405,410,416,429,453,461,486,487,
505,554,556,561,582,592,603,631,650,651,656,658,660,661,865,869,870,871,878,
894,897,898,901,904,906,915,918,924,928,943,949,954,994,1038,1085,1163,1297,
1302,1307,1319,1322,1344,1352,1364,1366,1371,1517,1554,1581,1582,1593,1595,
1614,1632,1640,1655,1666,1810,1811,1812,2094,2109,2131,2132,2144,2145,2169,
2180,2213,2326,2374,2568,2570,2580,2589,2775,2785,2793,2891,3204,3210,3212,
3218,3230,3315,3491,3696,3884,3888,4139],[1,2,4,5,6,7,8,10,12,13,19,20,22,26,
28,29,31,32,34,35,38,39,40,41,42,44,46,65,71,74,76,101,118,121,124,125,126,130
,132,136,140,143,146,155,159,162,163,172,173,174,177,178,179,180,189,190,195,
197,199,206,215,216,282,366,367,369,375,376,377,379,383,384,386,387,388,393,
401,402,405,409,414,429,448,454,479,483,505,556,560,561,562,576,586,607,631,
650,651,656,658,660,661,865,869,870,871,880,883,891,892,895,904,906,910,915,
918,924,927,942,946,947,955,987,1038,1081,1167,1297,1303,1307,1319,1320,1344,
1351,1361,1366,1371,1513,1554,1570,1571,1593,1595,1613,1626,1639,1654,1665,
1810,1811,1812,2093,2109,2131,2134,2142,2143,2167,2180,2208,2331,2373,2568,
2570,2580,2588,2775,2784,2794,2886,3200,3210,3212,3216,3229,3314,3491,3692,
3884,3887,4140],[1,2,4,5,6,8,9,10,12,13,22,26,28,29,31,40,41,42,44,46,50,51,73
,74,101,118,120,121,130,139,140,141,143,153,155,160,162,168,172,206,215,258,
366,380,381,386,387,388,389,405,409,414,445,446,448,500,501,507,508,521,522,
569,576,619,629,650,848,857,865,876,877,930,946,1069,1070,1225,1294,1317,1318,
1343,1344,1361,1535,1562,1564,1571,1642,1644,2097,2136,2139,2166,2167,2387,
2394,2567,2568,2841,3193,3214,3216,3665,3878,4141],[1,2,3,4,5,6,7,8,9,10,15,16
,19,22,23,26,28,29,32,33,41,42,44,45,46,47,52,62,73,75,79,80,109,118,121,124,
125,126,130,139,140,145,146,156,159,163,165,166,179,185,208,209,216,283,366,
382,383,384,387,393,394,397,401,409,410,416,445,446,449,453,502,504,511,514,
526,527,574,575,581,582,623,631,651,848,866,869,878,880,947,949,1071,1073,1227
,1297,1320,1322,1343,1344,1364,1536,1566,1567,1569,1581,1645,1646,2099,2142,
2144,2168,2169,2395,2396,2569,2570,2842,3193,3217,3218,3666,3879,4142],[1,2,4,
5,6,8,9,10,12,13,19,22,23,26,28,29,32,35,38,40,41,43,44,50,65,73,75,76,77,108,
118,120,121,130,132,136,139,141,145,153,155,156,159,160,168,173,174,179,180,
188,189,194,195,201,204,206,208,215,216,281,366,369,378,379,381,383,386,387,
390,405,407,408,414,416,429,445,449,457,471,484,485,497,498,500,528,551,556,
557,561,569,574,593,595,607,609,629,650,651,656,658,660,661,857,866,867,868,
881,884,903,906,911,915,918,919,924,925,926,930,937,938,945,958,961,997,1038,
1078,1168,1181,1293,1294,1296,1305,1317,1343,1353,1354,1361,1362,1366,1371,
1515,1526,1527,1528,1552,1554,1562,1566,1584,1592,1629,1634,1678,1680,1682,
1684,1685,1810,1811,1812,2103,2110,2116,2120,2127,2128,2166,2168,2179,2211,
2212,2330,2345,2430,2567,2569,2574,2575,2580,2770,2799,2811,2816,2888,3203,
3205,3208,3211,3214,3215,3233,3336,3490,3690,3693,3881,3882,3883,4143],[1,2,4,
5,6,8,9,10,12,13,19,20,26,28,29,32,35,38,40,41,44,50,65,71,118,120,121,130,132
,136,139,141,145,153,155,156,160,162,168,173,174,179,180,188,189,190,195,215,
216,221,366,369,378,379,381,383,386,387,390,405,423,429,433,500,507,522,528,
551,556,557,559,560,629,650,651,652,656,658,660,661,663,857,866,867,868,876,
880,881,884,895,903,906,911,918,919,924,930,942,945,984,1038,1041,1126,1294,
1296,1305,1317,1343,1366,1370,1371,1374,1376,1378,1552,1584,1592,1602,1626,
1627,1628,1629,1642,1669,1810,1811,1812,1814,1816,2092,2103,2127,2128,2136,
2141,2179,2216,2354,2418,2567,2569,2577,2579,2580,2583,2587,2770,2791,2845,
2877,3208,3211,3221,3235,3347,3490,3703,3883,3889,4144],[1,2,3,4,5,6,8,9,12,13
,15,16,17,21,26,28,29,30,31,32,33,35,37,38,40,41,42,44,45,46,50,52,55,68,70,
118,120,121,130,131,132,135,136,139,141,145,153,156,162,165,166,169,172,173,
174,175,176,182,183,184,185,186,187,188,189,192,215,216,232,366,369,372,378,
379,380,381,382,386,387,388,389,391,392,405,409,424,425,429,430,431,500,502,
511,526,528,533,549,551,552,553,554,555,629,650,651,653,655,656,658,659,660,
661,664,857,866,867,868,877,878,879,884,885,887,889,890,894,906,911,918,919,
923,935,939,943,946,978,1038,1051,1134,1294,1300,1305,1317,1318,1343,1366,1367
,1368,1369,1371,1375,1377,1380,1552,1584,1588,1589,1592,1625,1630,1632,1633,
1646,1668,1810,1811,1812,1813,1815,2090,2103,2128,2130,2138,2139,2178,2179,
2217,2355,2421,2567,2569,2576,2578,2580,2584,2586,2770,2789,2843,2878,3208,
3209,3211,3222,3234,3348,3490,3704,3883,3890,4145],[1,2,3,4,5,6,8,9,15,16,17,
19,20,23,26,28,30,31,32,33,34,35,37,38,40,41,42,44,45,46,52,56,75,92,106,118,
120,121,130,131,135,139,141,145,153,156,161,163,165,166,169,176,177,178,179,
180,182,184,186,187,190,192,195,197,200,201,204,209,215,216,275,367,369,372,
378,379,380,381,382,383,384,385,387,388,389,390,391,392,405,409,416,425,449,
455,457,471,480,484,487,488,489,497,502,511,526,534,548,550,552,575,591,603,
617,629,650,651,653,655,659,664,857,866,867,868,879,881,882,885,886,888,889,
890,891,892,893,903,911,923,924,927,929,935,936,939,943,947,954,958,993,1038,
1087,1089,1166,1215,1295,1296,1300,1305,1317,1318,1343,1352,1353,1354,1364,
1367,1380,1514,1515,1526,1527,1528,1567,1568,1588,1589,1622,1624,1631,1646,
1655,1659,1668,1685,1694,1703,1810,1813,1815,2091,2103,2127,2129,2130,2137,
2138,2140,2168,2178,2210,2221,2323,2324,2412,2453,2567,2569,2575,2586,2589,
2782,2790,2799,2843,2889,3201,3203,3205,3209,3217,3222,3238,3377,3490,3689,
3711,3882,3885,3890,4146],[1,2,4,5,6,8,9,10,12,13,19,22,23,26,28,29,32,35,38,
40,41,44,50,65,73,75,76,77,108,118,120,121,130,132,136,139,141,145,153,155,156
,160,162,168,173,174,179,180,189,195,199,201,204,206,215,216,281,366,369,378,
379,381,383,386,387,390,405,414,416,429,445,447,449,457,471,474,482,483,484,
485,497,500,507,522,528,556,557,569,593,607,613,629,650,651,652,656,660,663,
857,866,867,868,876,880,881,884,903,906,911,918,924,930,942,945,955,958,997,
1038,1078,1098,1168,1202,1294,1296,1305,1317,1343,1351,1353,1354,1361,1366,
1378,1512,1515,1526,1527,1528,1562,1577,1584,1602,1628,1629,1642,1654,1658,
1669,1685,1691,1704,1810,1814,1816,2092,2103,2127,2128,2136,2141,2166,2168,
2179,2211,2220,2330,2346,2407,2446,2567,2569,2575,2587,2588,2783,2791,2799,
2845,2888,3199,3203,3205,3208,3214,3221,3237,3371,3490,3690,3707,3882,3886,
3889,4147],[1,2,3,4,5,6,8,9,10,15,16,19,22,23,26,28,30,31,32,33,34,37,40,41,42
,43,44,45,46,52,62,73,75,79,80,109,118,120,121,130,131,135,139,141,145,153,155
,156,158,159,163,164,165,166,168,169,170,177,179,182,184,191,200,206,208,209,
215,216,283,367,372,380,381,382,384,385,387,388,389,391,392,405,407,408,409,
414,416,425,445,449,455,480,486,502,511,526,527,537,547,552,569,574,575,581,
582,590,602,623,629,650,651,653,655,659,664,857,866,867,868,885,891,911,915,
916,922,929,930,931,932,933,934,935,937,939,943,947,954,961,988,1038,1071,1161
,1227,1293,1295,1300,1317,1318,1343,1352,1361,1362,1364,1367,1380,1514,1562,
1566,1567,1568,1588,1589,1619,1646,1659,1666,1668,1674,1676,1678,1702,1709,
1810,1813,1815,2103,2116,2117,2123,2138,2140,2166,2168,2178,2209,2227,2322,
2395,2462,2567,2569,2574,2586,2589,2782,2811,2824,2843,2884,3201,3209,3214,
3215,3217,3222,3240,3382,3490,3688,3714,3881,3885,3890,4148],[1,2,4,5,6,8,9,10
,12,13,22,26,28,29,32,35,40,41,43,44,50,51,73,74,101,118,120,121,130,132,136,
139,141,145,153,155,156,159,160,162,168,173,174,189,199,206,208,215,216,258,
366,369,381,383,386,387,390,405,407,408,414,429,445,447,474,479,500,507,521,
522,528,536,569,574,576,586,597,619,629,650,651,652,656,660,663,857,866,867,
868,876,884,911,915,918,930,937,938,942,945,955,961,987,1038,1069,1156,1225,
1293,1294,1296,1317,1343,1351,1361,1362,1366,1378,1512,1562,1566,1577,1584,
1602,1617,1642,1658,1665,1669,1672,1678,1699,1708,1810,1814,1816,2103,2116,
2120,2136,2141,2166,2179,2208,2226,2311,2387,2465,2567,2569,2574,2587,2588,
2783,2811,2822,2845,2883,3199,3208,3214,3215,3221,3239,3378,3490,3687,3713,
3881,3886,3889,4149],[1,4,5,7,8,20,24,27,34,41,88,96,116,119,125,127,134,147,
151,161,207,217,358,371,402,418,456,579,611,626,633,654,850,874,1279,1298,1346
,1365,1556,1576,2100,2572,2827,3194,3697,3880,4150],[1,3,4,5,7,8,20,21,24,27,
30,34,41,85,88,116,119,125,127,133,134,137,147,151,161,181,207,217,363,371,402
,434,456,579,601,625,633,654,657,662,850,874,1281,1298,1346,1372,1576,1695,
2100,2572,2869,3194,3727,3880,4151],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,18,
19,20,21,22,23,24,25,28,29,31,32,33,35,40,41,42,44,45,49,50,51,52,53,54,55,56,
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,
83,84,85,86,87,89,90,91,92,94,95,96,97,98,99,100,101,102,103,104,105,106,107,
108,109,110,111,112,113,114,115,118,139,141,144,153,156,157,160,162,165,166,
168,172,173,174,179,180,182,183,184,185,186,187,188,189,190,199,201,218,220,
221,222,223,224,225,226,228,229,230,231,232,233,234,235,236,237,238,242,243,
244,245,247,250,251,254,255,256,257,258,259,261,262,263,264,265,266,268,269,
270,271,272,273,274,275,278,279,281,283,284,285,286,287,290,291,292,293,294,
295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,
314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,333,
334,335,336,337,338,340,341,342,343,344,345,366,369,380,382,405,445,447,449,
450,451,457,459,460,474,482,483,484,494,500,502,503,507,509,510,522,524,526,
528,549,551,552,553,554,555,557,559,560,613,616,666,667,668,669,670,671,672,
673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,691,692,693,
694,695,696,700,701,707,708,709,710,711,712,713,714,715,716,717,719,720,721,
723,724,725,726,728,729,733,735,736,737,742,744,745,746,747,748,749,750,751,
752,753,754,756,757,758,759,760,761,762,767,768,784,788,789,791,792,793,794,
796,797,798,829,830,831,832,833,834,857,877,878,879,894,911,918,919,939,943,
1039,1042,1043,1045,1047,1051,1054,1055,1058,1067,1069,1071,1072,1078,1083,
1084,1089,1090,1091,1092,1093,1094,1098,1099,1100,1101,1102,1104,1115,1117,
1126,1134,1183,1202,1206,1207,1208,1387,1388,1390,1391,1392,1393,1395,1396,
1397,1398,1399,1400,1401,1402,1403,1406,1408,1409,1410,1411,1415,1416,1417,
1418,1419,1420,1422,1423,1424,1425,1426,1427,1428,1429,1430,1432,1434,1480,
1482,1483,1484,1485,1487,1489,1512,1515,1552,1630,1632,1633,1642,1668,1817,
1818,1819,1824,1839,1841,1844,1845,1846,1851,1855,1856,1857,1865,1874,1877,
1888,1889,1891,1892,1893,1894,1895,1897,1899,1902,1944,1970,1971,2240,2241,
2242,2246,2248,2249,2250,2251,2252,2253,2254,2294,2307,2355,2407,2408,2594,
2595,2596,2597,2598,2599,2600,2607,2610,2613,2614,2617,2618,2622,2623,2688,
2689,2690,2691,2715,2716,2951,2965,2966,2976,2977,2984,2990,3244,3245,3252,
3258,3276,3277,3278,3279,3493,3494,3495,3496,3497,3502,3522,3523,3533,3534,
3733,3891,3902,3903,3904,3905,4152],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,
18,19,20,21,22,23,24,25,29,31,33,35,40,41,42,44,45,46,49,50,51,52,53,54,55,56,
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,
83,84,85,86,87,89,90,91,92,94,95,96,97,98,99,100,101,102,103,104,105,106,107,
108,109,110,111,112,113,114,115,121,139,140,143,144,145,147,148,152,153,155,
156,157,160,162,165,166,172,182,183,184,185,186,187,188,189,206,207,218,220,
221,222,223,224,225,226,228,229,230,231,232,233,234,235,236,237,238,242,243,
244,245,247,250,251,254,255,256,257,258,259,261,262,263,264,265,266,268,269,
270,271,272,273,274,275,278,279,281,283,284,285,286,287,290,291,292,293,294,
295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,
314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,333,
334,335,336,337,338,340,341,342,343,344,345,386,388,409,446,448,450,451,452,
453,459,460,500,501,502,503,504,505,508,509,510,511,512,513,519,520,521,522,
524,526,549,551,552,553,554,555,565,566,567,568,569,573,576,577,611,618,619,
622,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,
684,685,686,687,688,691,692,693,694,695,696,700,701,707,708,709,710,711,712,
713,714,715,716,717,719,720,721,723,724,725,726,728,729,733,735,736,737,742,
744,745,746,747,748,749,750,751,752,753,754,756,757,758,759,760,761,762,767,
768,784,788,789,791,792,793,794,796,797,798,829,830,831,832,833,834,865,866,
873,946,1039,1040,1041,1042,1043,1047,1049,1051,1053,1054,1055,1060,1064,1067,
1070,1073,1074,1075,1076,1079,1080,1084,1085,1086,1090,1091,1092,1093,1094,
1099,1100,1101,1102,1134,1139,1141,1217,1225,1226,1231,1232,1233,1271,1282,
1387,1388,1390,1391,1392,1393,1395,1396,1397,1398,1399,1400,1401,1402,1403,
1406,1408,1409,1410,1411,1415,1416,1417,1418,1419,1420,1422,1423,1424,1425,
1426,1427,1428,1429,1430,1432,1434,1480,1482,1483,1484,1485,1487,1489,1564,
1571,1579,1580,1588,1592,1644,1646,1647,1689,1832,1833,1834,1835,1836,1837,
1838,1839,1840,1841,1842,1844,1873,1878,1879,1880,1881,1887,1892,1893,1894,
1895,1897,1899,1901,1904,1906,1907,1908,1909,1910,1922,1925,1948,1949,1955,
1956,1957,1958,2019,2020,2021,2240,2241,2242,2246,2248,2249,2250,2251,2252,
2253,2254,2295,2302,2394,2397,2421,2591,2592,2594,2612,2613,2616,2638,2639,
2640,2642,2643,2644,2645,2709,2951,2986,2987,2993,3001,3005,3006,3023,3107,
3247,3248,3249,3250,3251,3260,3261,3268,3269,3538,3541,3546,3732,3747,3911,
4153],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,28,29,32,
35,40,41,44,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,73,
74,75,76,77,79,80,81,82,87,88,89,90,91,92,93,94,95,100,101,103,104,105,106,107
,108,109,110,111,112,118,139,141,144,153,155,156,157,160,162,168,173,174,179,
180,188,189,190,199,201,206,207,218,219,221,222,223,224,225,226,227,228,229,
230,231,232,233,234,236,237,239,240,241,242,243,244,245,246,247,248,249,250,
251,252,253,257,258,260,261,262,263,264,265,266,267,268,269,270,271,272,273,
274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,
293,294,295,296,297,298,299,331,332,333,334,335,336,337,338,339,340,346,347,
348,349,350,351,366,369,381,405,445,447,449,450,457,460,474,479,482,483,484,
485,494,500,502,507,510,521,522,524,528,536,551,556,557,559,560,569,576,577,
586,593,597,607,608,613,616,618,619,665,667,668,669,670,688,689,690,694,695,
696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,734,735,737,
738,739,740,741,742,743,750,751,752,753,754,755,756,757,758,759,760,761,762,
763,764,765,766,767,769,770,771,772,773,774,775,776,777,784,785,786,787,788,
789,790,791,792,793,794,795,799,800,801,802,803,804,805,806,807,808,809,810,
811,812,857,876,884,911,918,919,930,955,1039,1041,1042,1043,1045,1047,1051,
1058,1067,1069,1071,1072,1078,1083,1089,1090,1098,1099,1104,1115,1117,1125,
1126,1139,1141,1156,1167,1168,1169,1183,1185,1191,1192,1202,1203,1206,1207,
1208,1217,1225,1231,1232,1243,1246,1254,1263,1264,1387,1412,1413,1414,1415,
1417,1418,1419,1421,1422,1423,1424,1425,1426,1431,1432,1433,1445,1456,1457,
1458,1459,1460,1461,1466,1467,1468,1472,1473,1474,1475,1476,1477,1478,1479,
1490,1491,1492,1497,1498,1499,1504,1505,1512,1515,1552,1562,1584,1613,1617,
1642,1648,1658,1818,1824,1840,1841,1844,1851,1852,1855,1856,1857,1858,1865,
1874,1875,1876,1877,1888,1889,1891,1897,1902,1908,1910,1913,1914,1925,1934,
1939,1940,1944,1948,1955,1956,1970,1971,1981,1988,2009,2017,2036,2044,2052,
2242,2255,2266,2273,2274,2275,2287,2289,2290,2294,2307,2311,2330,2370,2387,
2398,2400,2407,2408,2418,2594,2607,2609,2610,2614,2622,2623,2636,2637,2638,
2640,2642,2643,2646,2647,2649,2650,2659,2660,2661,2670,2677,2678,2681,2687,
2688,2689,2690,2691,2950,2965,2966,2984,2990,2992,3047,3053,3056,3061,3064,
3070,3245,3250,3252,3262,3270,3275,3287,3288,3290,3298,3502,3505,3510,3522,
3523,3536,3537,3571,3737,3891,3907,3910,3921,3923,4154],[1,2,3,4,5,6,9,10,11,
12,13,14,15,16,17,19,21,22,23,24,25,28,29,31,32,33,35,40,41,42,44,45,49,50,51,
52,54,55,57,62,63,64,65,66,67,68,69,70,73,74,75,76,77,78,79,80,81,82,85,86,89,
90,91,96,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,117,
118,139,141,144,153,160,162,165,168,172,173,179,180,184,185,186,187,189,199,
201,206,207,218,220,228,229,232,233,234,236,237,238,240,242,243,244,245,247,
249,251,252,254,255,257,258,259,264,265,266,273,274,281,283,284,285,286,287,
290,300,301,302,303,304,305,316,326,327,328,329,330,331,332,333,334,335,336,
337,338,339,340,343,344,346,347,348,349,350,351,353,354,355,366,369,380,382,
405,445,447,449,450,451,457,459,460,474,482,483,484,500,502,503,507,509,510,
522,549,557,586,593,613,616,618,619,667,671,684,685,686,687,688,691,692,693,
694,695,696,700,701,716,717,719,720,721,723,724,727,730,734,735,737,738,739,
740,741,756,767,768,776,777,779,780,784,787,788,790,791,792,794,796,809,810,
811,812,824,825,829,836,840,846,852,857,877,878,879,918,939,955,1039,1047,1051
,1055,1058,1069,1071,1072,1078,1084,1090,1091,1092,1093,1094,1098,1115,1117,
1139,1141,1183,1191,1192,1202,1232,1243,1264,1388,1390,1391,1392,1393,1395,
1408,1419,1427,1432,1450,1453,1469,1472,1474,1475,1476,1478,1481,1487,1489,
1491,1492,1495,1502,1512,1515,1608,1613,1630,1642,1817,1818,1819,1824,1841,
1845,1846,1851,1855,1856,1857,1877,1899,1902,1908,1910,1913,1914,1970,1971,
2052,2243,2246,2265,2266,2272,2277,2279,2294,2362,2398,2400,2407,2595,2596,
2597,2598,2614,2617,2623,2636,2637,2643,2670,2677,2688,2715,2953,2965,2966,
2976,2977,2984,3056,3279,3287,3493,3496,3497,3518,3522,3533,3536,3903,3910,
3912,4155],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,28,29,
32,33,35,40,41,44,45,50,51,52,54,55,57,58,59,60,62,63,64,65,66,67,68,69,70,72,
73,74,75,76,77,79,80,81,82,83,84,85,86,89,90,91,94,95,97,98,99,100,101,103,104
,105,106,107,108,109,110,111,112,113,114,115,116,118,139,141,144,153,160,162,
166,168,173,179,180,182,183,185,189,199,201,206,207,218,223,228,229,232,233,
234,235,236,237,239,240,242,243,244,245,246,247,249,250,251,252,254,256,257,
258,264,265,266,273,274,281,283,284,285,286,287,290,293,294,295,297,300,304,
306,307,308,309,310,311,312,313,314,315,317,318,319,320,321,322,323,324,325,
328,329,331,332,333,334,335,336,337,338,339,340,341,342,345,346,347,348,349,
350,351,352,356,357,366,369,382,405,445,447,449,450,457,459,460,474,482,483,
484,500,502,507,509,510,522,554,557,586,593,613,616,618,619,667,674,675,676,
680,682,683,684,688,691,694,695,696,700,701,713,714,718,719,720,722,725,726,
728,729,731,732,734,735,737,738,739,740,741,747,749,751,756,767,776,777,778,
783,784,785,787,788,790,791,792,793,794,797,809,810,811,812,822,823,830,834,
835,839,845,849,857,878,894,918,943,955,1039,1047,1051,1054,1058,1069,1071,
1072,1078,1090,1092,1098,1100,1101,1102,1115,1117,1139,1141,1183,1191,1192,
1202,1232,1243,1264,1390,1396,1397,1398,1399,1406,1409,1419,1428,1432,1446,
1448,1471,1472,1474,1475,1476,1477,1478,1480,1484,1486,1488,1491,1492,1496,
1501,1512,1515,1609,1613,1632,1642,1818,1819,1824,1841,1846,1851,1855,1856,
1857,1877,1894,1902,1908,1910,1913,1914,1970,1971,2052,2244,2248,2264,2266,
2268,2276,2278,2294,2363,2398,2400,2407,2596,2599,2600,2614,2618,2623,2636,
2637,2643,2670,2677,2688,2716,2952,2965,2966,2977,2984,3056,3278,3287,3494,
3495,3496,3517,3522,3534,3536,3904,3910,3913,4156],[1,2,3,4,5,6,8,9,10,11,12,
13,14,15,16,17,18,19,20,21,22,23,24,25,31,32,34,35,38,40,41,42,44,45,46,49,50,
51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,
78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103
,104,105,106,107,108,109,110,111,112,113,114,115,116,117,121,139,140,143,144,
145,147,148,152,155,156,157,160,162,165,166,174,177,178,180,186,190,195,197,
199,200,201,204,207,220,221,222,223,225,226,228,229,230,231,232,233,235,237,
240,241,243,244,245,247,248,249,250,251,253,257,259,260,261,262,264,265,266,
267,269,270,271,272,273,274,275,276,277,278,280,282,285,286,288,289,290,291,
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,
330,333,334,335,336,337,340,341,342,343,344,345,346,348,349,350,352,353,354,
355,356,357,358,359,360,361,362,363,364,365,367,379,409,448,449,452,454,455,
456,464,468,471,479,480,483,485,487,489,494,497,500,501,502,503,504,505,508,
509,510,511,512,513,519,520,521,524,526,548,559,565,566,567,568,573,577,608,
611,613,617,618,622,625,666,668,669,671,672,673,674,675,676,677,678,679,680,
681,682,683,684,685,686,690,700,702,703,704,709,710,711,733,735,736,738,739,
740,744,745,746,747,748,749,750,751,752,753,754,755,756,758,760,766,768,769,
770,771,772,773,774,777,778,779,780,781,782,783,786,787,788,791,793,795,807,
808,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,
831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,865,866,873,
927,1040,1041,1042,1043,1047,1049,1051,1053,1054,1055,1060,1064,1072,1074,1077
,1081,1082,1083,1087,1088,1089,1111,1115,1116,1117,1118,1141,1191,1203,1207,
1215,1217,1226,1246,1270,1271,1275,1276,1277,1278,1280,1282,1288,1408,1409,
1410,1411,1412,1413,1415,1416,1425,1433,1434,1435,1436,1437,1438,1439,1440,
1441,1442,1443,1444,1466,1469,1470,1471,1472,1473,1474,1493,1494,1495,1496,
1498,1499,1500,1501,1502,1503,1506,1507,1508,1509,1510,1513,1514,1518,1526,
1644,1646,1647,1689,1826,1830,1832,1833,1834,1835,1836,1837,1838,1839,1840,
1842,1844,1852,1853,1856,1858,1860,1861,1864,1865,1885,1888,1901,1904,1906,
1907,1908,1909,1940,1949,1956,1970,1972,1973,2017,2019,2020,2021,2032,2045,
2060,2070,2075,2240,2278,2279,2280,2282,2283,2284,2287,2288,2291,2292,2295,
2302,2409,2412,2455,2625,2631,2632,2633,2634,2635,2636,2638,2639,2645,2646,
2687,2689,2692,2706,2708,2709,2726,2731,2739,2740,2741,2954,2967,2970,2986,
2987,3023,3107,3247,3248,3251,3262,3266,3267,3271,3273,3274,3525,3548,3582,
3743,3745,3749,3911,4157],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,19,20,21,22,
23,24,25,28,29,31,32,33,35,40,41,42,44,45,49,50,51,52,53,54,55,56,57,62,63,64,
65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,85,86,87,88,89,90,91,92,93,
96,99,100,101,102,103,104,105,106,107,108,109,110,113,114,116,118,139,141,144,
153,155,160,162,165,168,172,173,174,179,180,184,185,186,187,189,190,199,201,
206,218,219,220,221,227,228,229,230,231,232,233,234,236,237,238,239,240,241,
242,243,244,245,246,247,248,249,254,255,257,258,259,260,261,262,263,264,265,
266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,
285,286,287,288,289,290,300,301,302,303,304,305,316,326,327,328,329,330,331,
332,336,337,338,339,340,343,344,346,347,350,351,352,356,357,358,361,362,363,
366,369,380,381,382,405,445,447,449,450,451,457,459,460,474,479,482,483,484,
485,500,502,503,507,509,510,521,522,528,536,549,556,557,559,560,569,576,586,
593,597,607,613,619,665,667,668,671,684,685,686,687,688,689,690,691,692,693,
694,695,696,697,698,699,700,701,702,703,704,716,717,718,719,720,721,722,723,
724,734,737,740,741,742,743,755,756,757,758,759,760,761,762,763,764,765,766,
767,768,769,772,773,774,778,783,784,785,786,787,788,796,799,800,801,802,803,
804,805,806,809,810,811,812,813,814,815,816,821,828,829,835,837,844,849,857,
876,877,878,879,884,918,930,939,1039,1041,1047,1051,1055,1058,1069,1071,1072,
1078,1083,1084,1089,1090,1091,1092,1093,1094,1098,1115,1117,1125,1126,1139,
1156,1167,1168,1169,1202,1203,1225,1243,1254,1388,1389,1390,1391,1392,1393,
1394,1395,1408,1413,1414,1417,1427,1431,1432,1433,1435,1436,1437,1446,1447,
1448,1449,1456,1457,1458,1459,1460,1461,1462,1463,1467,1468,1471,1487,1488,
1489,1492,1493,1503,1512,1515,1538,1539,1562,1584,1609,1617,1630,1642,1817,
1818,1819,1824,1840,1841,1845,1846,1851,1852,1855,1856,1857,1858,1874,1875,
1876,1877,1888,1889,1899,1902,1910,1913,1914,1934,1939,1948,1955,1970,2009,
2245,2246,2256,2257,2258,2259,2267,2268,2274,2282,2285,2294,2311,2330,2382,
2387,2407,2418,2595,2596,2597,2598,2609,2610,2617,2623,2640,2647,2650,2659,
2660,2661,2670,2687,2688,2715,2963,2965,2966,2976,2977,2984,2992,3047,3279,
3290,3493,3496,3497,3505,3510,3517,3522,3533,3537,3894,3899,3903,3907,3913,
4158],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,28,29,32,
33,35,40,41,44,45,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,
71,72,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,
99,100,101,103,104,105,106,107,108,109,110,111,112,113,114,115,117,118,139,141
,144,153,155,160,162,166,168,173,174,179,180,182,183,185,189,190,199,201,206,
218,219,221,223,227,228,229,230,231,232,233,234,235,236,237,239,240,241,242,
243,244,245,246,247,248,249,252,254,256,257,258,260,261,262,263,264,265,266,
267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,
286,287,288,289,290,293,294,295,297,300,304,306,307,308,309,310,311,312,313,
314,315,317,318,319,320,321,322,323,324,325,328,329,331,332,334,336,337,338,
339,340,341,342,345,346,347,350,351,353,354,355,359,360,364,365,366,369,381,
382,405,445,447,449,450,457,459,460,474,479,482,483,484,485,500,502,507,509,
510,521,522,528,536,554,556,557,559,560,569,576,586,593,597,607,613,619,665,
667,668,674,675,676,680,682,683,684,688,689,690,691,694,695,696,697,698,699,
700,701,702,703,704,705,706,713,714,719,720,725,726,727,728,729,730,731,732,
734,737,740,741,742,743,747,749,751,755,756,757,758,759,760,761,762,763,764,
765,766,767,769,772,773,774,779,780,784,785,786,787,788,790,797,799,800,801,
802,803,804,805,806,809,810,811,812,817,818,819,820,826,827,830,834,836,838,
843,852,857,876,878,884,894,918,930,943,1039,1041,1047,1051,1054,1058,1069,
1071,1072,1078,1083,1089,1090,1092,1098,1100,1101,1102,1115,1117,1125,1126,
1139,1156,1167,1168,1169,1202,1203,1225,1243,1254,1390,1396,1397,1398,1399,
1404,1405,1406,1407,1409,1413,1414,1417,1421,1428,1431,1432,1433,1438,1439,
1444,1450,1451,1452,1453,1456,1457,1458,1459,1460,1461,1464,1465,1467,1468,
1469,1480,1481,1484,1486,1492,1494,1500,1512,1515,1541,1562,1584,1608,1617,
1632,1642,1818,1819,1824,1840,1841,1846,1851,1852,1855,1856,1857,1858,1874,
1875,1876,1877,1888,1889,1894,1902,1910,1913,1914,1934,1939,1948,1955,1970,
2009,2247,2248,2260,2261,2262,2263,2270,2272,2274,2283,2286,2294,2311,2330,
2379,2387,2407,2418,2596,2599,2600,2609,2610,2618,2623,2640,2647,2650,2659,
2660,2661,2670,2687,2688,2716,2962,2965,2966,2977,2984,2992,3047,3278,3290,
3494,3495,3496,3505,3510,3518,3522,3534,3537,3900,3901,3904,3907,3912,4159],[1
,2,3,4,6,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,29,31,33,35,36,39
,42,44,45,47,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72
,73,74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,
100,101,103,104,105,106,107,108,109,110,111,112,113,114,115,117,124,140,146,
150,156,159,163,165,166,167,172,177,178,182,183,184,185,186,187,188,189,195,
196,198,200,204,208,209,218,219,221,223,227,228,229,230,231,232,233,234,235,
236,237,239,240,241,242,243,244,245,246,247,248,249,252,254,256,257,258,260,
261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,
280,281,282,283,284,285,286,287,288,289,290,293,294,295,297,300,304,306,307,
308,309,310,311,312,313,314,315,317,318,319,320,321,322,323,324,325,328,329,
331,332,334,336,337,338,339,340,341,342,345,346,347,350,351,353,354,355,359,
360,364,365,370,375,393,394,395,396,410,446,448,452,453,461,462,463,465,466,
470,480,481,486,487,488,489,497,498,501,504,505,514,515,516,517,526,527,547,
548,549,550,551,552,553,554,555,561,562,563,574,575,581,582,590,591,592,595,
602,603,604,609,617,623,665,667,668,674,675,676,680,682,683,684,688,689,690,
691,694,695,696,697,698,699,700,701,702,703,704,705,706,713,714,719,720,725,
726,727,728,729,730,731,732,734,737,740,741,742,743,747,749,751,755,756,757,
758,759,760,761,762,763,764,765,766,767,769,772,773,774,779,780,784,785,786,
787,788,790,797,799,800,801,802,803,804,805,806,809,810,811,812,817,818,819,
820,826,827,830,834,836,838,843,855,856,869,896,897,898,899,900,904,928,949,
950,1040,1048,1049,1050,1053,1057,1062,1070,1073,1074,1075,1076,1077,1079,1080
,1081,1082,1085,1086,1106,1107,1108,1109,1110,1112,1113,1116,1118,1134,1135,
1140,1144,1160,1161,1162,1163,1164,1165,1166,1181,1215,1216,1227,1245,1256,
1390,1396,1397,1398,1399,1404,1405,1406,1407,1409,1413,1414,1417,1421,1428,
1431,1432,1433,1438,1439,1444,1450,1451,1452,1453,1456,1457,1458,1459,1460,
1461,1464,1465,1467,1468,1469,1480,1481,1484,1486,1492,1494,1500,1517,1529,
1545,1546,1549,1550,1569,1581,1590,1595,1612,1640,1641,1645,1820,1821,1827,
1828,1842,1843,1848,1849,1853,1854,1859,1860,1861,1862,1863,1864,1873,1878,
1879,1880,1881,1882,1883,1884,1885,1886,1887,1900,1903,1911,1912,1915,1916,
1917,1935,1936,1937,1938,1947,1952,1953,1954,1972,2011,2247,2248,2260,2261,
2262,2263,2270,2272,2274,2283,2286,2296,2325,2326,2327,2347,2386,2396,2410,
2422,2601,2602,2603,2604,2611,2612,2619,2624,2641,2648,2651,2652,2653,2654,
2655,2656,2657,2658,2671,2692,2693,2717,2962,2968,2969,2979,2980,2985,3002,
3003,3049,3280,3291,3498,3499,3500,3507,3508,3509,3519,3520,3524,3535,3540,
3895,3896,3897,3898,3906,3908,3914,4160],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16
,17,18,19,20,21,22,23,24,25,28,32,40,41,42,44,45,46,49,50,51,52,53,54,55,56,57
,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
,84,85,86,87,89,90,91,92,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108
,109,110,111,112,113,114,115,121,139,140,143,144,145,147,148,152,155,156,157,
159,160,162,163,165,166,168,173,179,180,201,207,208,209,219,220,221,222,223,
225,226,227,228,229,230,231,232,233,235,239,240,244,245,246,247,249,250,251,
252,253,257,258,259,263,264,265,266,268,271,273,274,279,280,281,282,283,284,
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,
323,324,325,326,327,328,329,330,332,333,334,335,336,337,339,340,341,342,343,
344,345,384,387,409,445,449,482,494,500,501,502,503,504,505,508,509,510,511,
512,513,519,520,521,524,526,527,536,556,557,565,566,567,568,573,574,575,577,
581,582,611,616,618,622,623,665,666,668,669,671,672,673,674,675,676,677,678,
679,680,681,682,683,684,685,686,689,697,698,699,701,705,706,708,710,711,718,
722,727,730,731,732,733,734,735,736,743,744,745,746,747,748,749,750,751,752,
753,754,756,759,763,764,765,766,767,768,776,777,785,787,790,792,793,794,795,
829,830,831,832,833,834,865,866,873,947,1040,1041,1042,1043,1047,1048,1049,
1050,1051,1053,1054,1055,1060,1064,1069,1071,1072,1078,1117,1125,1140,1141,
1144,1185,1206,1217,1226,1227,1264,1271,1282,1389,1394,1404,1405,1407,1408,
1409,1410,1411,1414,1415,1416,1421,1426,1431,1434,1476,1477,1478,1481,1486,
1488,1490,1497,1498,1566,1567,1586,1593,1644,1646,1647,1689,1832,1833,1834,
1835,1836,1837,1838,1839,1840,1842,1843,1844,1857,1865,1875,1876,1877,1901,
1904,1906,1907,1908,1909,1911,1947,1949,1952,1953,1954,1956,1971,1988,1990,
2019,2020,2021,2240,2243,2244,2245,2247,2273,2281,2295,2302,2395,2420,2609,
2627,2629,2638,2639,2641,2645,2649,2677,2690,2709,2949,2986,2987,2994,3000,
3023,3107,3247,3248,3251,3259,3264,3265,3270,3539,3543,3731,3744,3911,4161],[1
,2,3,4,5,6,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,28,29,32,35,40,41
,44,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,73,74,75,76
,77,79,80,81,82,87,89,90,91,92,94,95,100,101,103,104,105,106,107,108,109,110,
111,112,116,117,118,139,141,144,153,156,157,160,162,168,173,174,179,180,188,
189,190,199,201,218,221,222,223,224,225,226,228,229,230,231,232,233,234,236,
237,239,242,243,244,245,246,247,250,251,252,253,257,258,261,262,263,264,265,
266,268,269,270,271,272,273,274,275,278,279,281,283,284,285,286,287,290,291,
292,293,294,295,296,297,298,299,331,333,334,335,336,337,338,340,352,353,354,
355,356,357,366,369,405,445,447,449,450,457,460,474,482,483,484,494,500,502,
507,510,522,524,528,551,557,559,560,613,616,667,668,669,670,688,694,695,696,
700,701,707,708,709,710,711,718,722,727,730,731,732,735,737,742,750,751,752,
753,754,756,757,758,759,760,761,762,767,778,779,780,781,782,783,784,785,788,
789,790,791,792,793,794,795,835,836,841,842,849,852,857,911,918,919,1039,1042,
1043,1045,1047,1051,1058,1067,1069,1071,1072,1078,1083,1089,1090,1098,1099,
1104,1115,1117,1126,1183,1202,1206,1207,1208,1387,1415,1417,1418,1419,1422,
1423,1424,1425,1426,1432,1446,1448,1450,1453,1454,1455,1469,1470,1471,1481,
1486,1488,1490,1506,1512,1515,1552,1608,1609,1642,1818,1824,1841,1844,1851,
1855,1856,1857,1865,1874,1877,1888,1889,1891,1897,1902,1944,1970,1971,2242,
2268,2269,2271,2272,2281,2288,2294,2307,2407,2408,2439,2594,2607,2610,2614,
2622,2623,2688,2689,2690,2691,2960,2965,2966,2984,2990,3245,3252,3502,3517,
3518,3522,3523,3891,3912,3913,4162],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,
18,19,20,21,22,23,24,25,29,31,33,35,40,41,42,44,45,46,49,50,51,52,53,54,55,56,
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,
83,84,85,86,87,89,90,91,92,94,95,96,97,98,99,100,101,102,103,104,105,106,107,
108,109,110,111,112,113,114,115,121,139,141,144,145,148,152,153,155,156,157,
160,162,165,166,172,182,183,184,185,186,187,188,189,206,207,218,220,221,222,
223,224,225,226,228,229,230,231,232,233,234,235,236,237,238,242,243,244,245,
247,250,251,254,255,256,257,258,259,261,262,263,264,265,266,268,269,270,271,
272,273,274,275,278,279,281,283,284,285,286,287,290,291,292,293,294,295,296,
297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,
316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,333,334,335,
336,337,338,340,341,342,343,344,345,386,388,409,447,450,451,457,459,460,500,
502,503,507,509,510,511,513,519,520,521,522,524,526,549,551,552,553,554,555,
569,573,576,577,611,618,619,622,666,667,668,669,670,671,672,673,674,675,676,
677,678,679,680,681,682,683,684,685,686,687,688,691,692,693,694,695,696,700,
701,707,708,709,710,711,712,713,714,715,716,717,719,720,721,723,724,725,726,
728,729,733,735,736,737,742,744,745,746,747,748,749,750,751,752,753,754,756,
757,758,759,760,761,762,767,768,784,788,789,791,792,793,794,796,797,798,829,
830,831,832,833,834,866,867,873,946,1039,1041,1042,1043,1045,1047,1051,1054,
1055,1058,1059,1064,1065,1067,1084,1090,1091,1092,1093,1094,1098,1099,1100,
1101,1102,1104,1134,1139,1141,1217,1225,1226,1231,1232,1233,1271,1387,1388,
1390,1391,1392,1393,1395,1396,1397,1398,1399,1400,1401,1402,1403,1406,1408,
1409,1410,1411,1415,1416,1417,1418,1419,1420,1422,1423,1424,1425,1426,1427,
1428,1429,1430,1432,1434,1480,1482,1483,1484,1485,1487,1489,1577,1579,1580,
1588,1592,1646,1647,1817,1818,1819,1824,1838,1839,1840,1841,1844,1845,1846,
1847,1850,1891,1892,1893,1894,1895,1897,1899,1901,1902,1906,1907,1908,1909,
1910,1922,1925,1948,1949,1955,1956,1957,1958,2240,2241,2242,2246,2248,2249,
2250,2251,2252,2253,2254,2300,2302,2350,2397,2421,2594,2595,2596,2597,2598,
2599,2600,2606,2607,2613,2616,2617,2618,2622,2623,2638,2639,2640,2642,2643,
2644,2709,2715,2716,2951,2987,3004,3005,3006,3011,3012,3082,3244,3245,3247,
3249,3250,3258,3268,3269,3272,3276,3277,3278,3279,3521,3541,3580,3733,3747,
3892,3893,3924,4163],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,
24,25,28,29,30,31,32,33,34,35,37,38,40,41,42,43,44,45,46,49,50,51,52,53,54,55,
56,57,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,85,86,87,88,
89,90,91,92,93,96,99,100,101,102,103,104,105,106,107,108,109,110,113,114,116,
121,140,143,144,148,153,155,157,158,159,160,161,162,163,164,165,168,169,170,
171,172,173,174,175,176,177,178,179,180,181,184,185,186,187,189,190,191,192,
194,195,197,199,201,202,205,206,207,218,219,220,221,227,228,229,230,231,232,
233,234,236,237,238,239,240,241,242,243,244,245,246,247,248,249,254,255,257,
258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,
277,278,279,280,281,282,283,284,285,286,287,288,289,290,300,301,302,303,304,
305,316,326,327,328,329,330,331,332,336,337,338,339,340,343,344,346,347,350,
351,352,356,357,358,361,362,363,367,372,379,384,386,387,388,390,391,408,409,
446,448,450,451,452,453,454,458,459,460,464,469,472,474,475,476,477,478,479,
482,483,484,485,490,491,492,493,494,495,501,503,504,505,506,508,509,510,513,
520,521,522,523,524,525,527,528,529,530,531,532,533,534,535,536,537,538,539,
540,541,542,543,544,545,546,547,548,549,550,556,557,559,560,561,562,564,565,
566,569,570,571,572,573,576,577,578,579,583,584,585,586,587,588,589,593,594,
597,598,599,600,601,605,606,607,608,611,612,613,614,615,616,618,619,620,621,
622,624,625,626,665,667,668,671,684,685,686,687,688,689,690,691,692,693,694,
695,696,697,698,699,700,701,702,703,704,716,717,718,719,720,721,722,723,724,
734,737,740,741,742,743,755,756,757,758,759,760,761,762,763,764,765,766,767,
768,769,772,773,774,778,783,784,785,786,787,788,796,799,800,801,802,803,804,
805,806,809,810,811,812,813,814,815,816,821,828,829,835,837,844,865,873,883,
885,886,887,888,889,891,892,903,906,916,922,923,926,927,931,933,935,936,937,
938,946,947,1048,1049,1050,1052,1055,1066,1067,1068,1070,1073,1074,1075,1076,
1077,1080,1081,1082,1084,1090,1091,1092,1093,1094,1095,1096,1097,1111,1114,
1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1135,1136,
1137,1138,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,
1158,1159,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,
1180,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,
1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,
1212,1213,1214,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1228,1229,
1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,
1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,1257,1258,1259,1260,1261,
1262,1263,1264,1265,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1279,
1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1388,1389,1390,1391,1392,
1393,1394,1395,1408,1413,1414,1417,1427,1431,1432,1433,1435,1436,1437,1446,
1447,1448,1449,1456,1457,1458,1459,1460,1461,1462,1463,1467,1468,1471,1487,
1488,1489,1492,1493,1503,1513,1516,1518,1532,1533,1555,1564,1565,1571,1579,
1580,1586,1587,1593,1603,1604,1619,1620,1621,1622,1624,1625,1634,1639,1643,
1644,1647,1675,1676,1689,1832,1833,1843,1870,1871,1872,1882,1883,1884,1885,
1886,1887,1898,1899,1907,1920,1921,1922,1923,1924,1925,1926,1927,1928,1929,
1930,1931,1932,1933,1943,1944,1945,1946,1957,1958,1959,1960,1961,1962,1963,
1964,1965,1966,1967,1968,1969,1973,1974,1975,1976,1977,1978,1979,1980,1981,
1982,1983,1984,1985,1986,1987,1988,1989,1990,1991,1992,1993,1994,1995,1996,
1997,1998,1999,2000,2001,2002,2003,2004,2005,2006,2007,2008,2009,2010,2012,
2013,2014,2015,2016,2017,2018,2022,2023,2024,2025,2026,2027,2028,2029,2030,
2031,2032,2033,2034,2035,2036,2037,2038,2039,2040,2041,2042,2043,2044,2046,
2047,2048,2049,2050,2051,2052,2053,2054,2055,2056,2057,2058,2059,2060,2061,
2066,2070,2071,2072,2073,2074,2245,2246,2256,2257,2258,2259,2267,2268,2274,
2282,2285,2310,2312,2316,2317,2318,2319,2320,2321,2331,2332,2333,2335,2342,
2343,2344,2357,2390,2391,2392,2394,2397,2404,2405,2406,2409,2411,2414,2415,
2416,2420,2423,2455,2466,2467,2591,2592,2593,2611,2615,2616,2626,2627,2628,
2629,2630,2631,2632,2645,2664,2665,2666,2667,2668,2669,2672,2673,2674,2675,
2676,2679,2680,2681,2682,2683,2684,2685,2686,2694,2695,2696,2697,2698,2699,
2700,2701,2702,2703,2704,2705,2706,2707,2710,2711,2712,2713,2714,2718,2719,
2720,2721,2722,2723,2724,2725,2727,2728,2729,2730,2963,2991,3010,3017,3023,
3034,3035,3036,3037,3038,3039,3040,3048,3051,3114,3253,3254,3255,3256,3257,
3259,3260,3271,3281,3282,3283,3284,3285,3286,3289,3292,3293,3294,3295,3296,
3297,3529,3542,3543,3544,3545,3546,3547,3548,3739,3750,3917,3918,3919,3920,
3922,3925,3926,4164],[1,2,3,4,6,10,12,13,15,16,17,19,22,23,24,26,27,29,31,33,
35,42,44,45,55,65,74,79,80,81,100,106,107,108,109,110,130,131,132,134,135,136,
140,165,172,184,185,186,187,189,200,204,208,209,216,240,243,287,338,339,346,
351,414,415,416,418,423,424,425,429,430,431,433,436,438,448,453,505,549,590,
591,592,595,617,623,627,651,653,655,658,659,661,664,811,978,984,986,988,989,
993,994,997,1006,1011,1016,1019,1020,1076,1116,1144,1245,1290,1291,1344,1352,
1354,1357,1362,1364,1367,1368,1369,1371,1375,1377,1380,1724,1726,1754,1761,
1777,1782,1784,1916,2077,2079,2080,2082,2083,2167,2169,2180,2187,2198,2204,
2209,2210,2212,2213,2217,2221,2227,2526,2743,2749,2882,2890,2897,2903,2919,
2931,2936,3116,3301,3449,3467,3585,3587,3589,3931,3933,3935,4165],[1,2,4,5,9,
10,12,13,19,22,23,24,26,27,28,32,40,41,50,65,73,75,76,77,100,101,107,108,130,
132,134,136,139,160,168,173,179,180,199,201,206,215,237,240,281,331,332,346,
347,414,415,416,418,420,423,428,429,433,436,438,445,449,500,557,586,593,613,
619,627,650,652,656,660,663,809,971,984,986,987,994,997,1007,1011,1017,1021,
1022,1078,1115,1139,1243,1290,1291,1343,1351,1353,1356,1361,1366,1370,1374,
1376,1378,1721,1726,1752,1753,1778,1781,1782,1913,2077,2079,2080,2082,2083,
2166,2168,2179,2185,2197,2202,2208,2211,2216,2220,2226,2527,2743,2749,2880,
2888,2895,2902,2922,2929,2935,3115,3301,3447,3470,3584,3586,3590,3930,3932,
3934,4166],[1,2,3,4,5,13,21,22,23,24,25,26,27,30,40,41,85,91,99,100,108,114,
116,130,132,133,134,136,137,160,181,199,201,202,207,215,217,328,346,352,414,
415,416,418,419,429,434,436,438,490,594,601,613,618,624,626,627,650,652,654,
657,662,663,828,986,997,998,1011,1191,1272,1273,1290,1291,1292,1351,1353,1355,
1363,1365,1372,1373,1378,1381,1712,1782,2058,2077,2078,2079,2080,2081,2082,
2083,2214,2220,2222,2225,2468,2469,2470,2743,2744,2745,2746,2747,2748,2749,
2934,3117,3118,3119,3120,3121,3122,3123,3300,3301,3302,3588,3591,3592,3593,
3594,3595,3596,3751,3936,3937,3938,4167],[1,2,5,6,9,10,22,26,28,29,40,48,73,
118,130,139,140,141,153,168,199,366,414,439,445,446,447,474,848,857,1343,1344,
1512,2166,2547,3193,4168],[1,2,5,6,9,10,22,26,28,29,48,73,118,130,139,140,214,
366,442,443,445,446,643,644,648,847,848,1036,1037,1339,1343,1344,1382,1511,
1799,1800,2229,2556,2557,2944,3193,3303,3304,4169],[1,2,4,5,6,8,9,19,23,26,28,
32,41,42,44,46,48,75,121,130,139,145,156,163,179,209,212,214,216,384,387,409,
416,439,440,442,449,575,643,645,649,651,847,866,947,1027,1029,1031,1033,1034,
1037,1342,1343,1364,1383,1511,1567,1797,1799,1801,1804,1807,1808,2084,2168,
2230,2236,2238,2293,2558,2564,2569,2750,2946,2947,3217,3303,3305,3482,3754,
3939,4170],[1,2,3,6,7,10,16,23,26,29,33,44,45,47,48,79,124,130,140,146,159,166
,185,209,213,214,216,393,394,410,416,439,441,443,453,582,644,647,649,651,847,
869,949,1028,1030,1032,1033,1035,1036,1341,1344,1364,1384,1511,1581,1798,1800,
1802,1805,1807,1809,2084,2169,2231,2237,2239,2293,2559,2563,2570,2750,2945,
2948,3218,3304,3305,3483,3755,3940,4171],[1,2,4,5,6,7,8,9,10,12,13,19,20,22,23
,28,29,32,35,38,39,40,41,43,44,50,51,65,71,73,74,75,76,77,101,108,118,120,121,
122,123,124,125,126,139,141,142,145,153,154,155,156,159,160,162,168,173,174,
179,180,188,189,190,194,195,199,201,203,204,206,208,219,221,258,280,281,282,
332,366,369,373,374,375,376,377,378,379,381,383,386,387,390,393,405,407,408,
445,447,449,457,467,471,474,479,482,483,484,485,496,497,498,500,507,521,522,
528,536,551,556,557,559,560,561,569,574,576,586,593,595,597,607,609,613,619,
629,630,631,632,743,857,858,859,860,861,862,863,864,866,867,868,876,880,881,
884,895,903,904,906,911,913,914,915,918,919,924,925,926,930,937,938,942,944,
945,953,955,958,959,960,961,1041,1069,1078,1098,1125,1126,1156,1167,1168,1169,
1181,1202,1203,1225,1243,1254,1293,1294,1296,1297,1305,1306,1307,1308,1317,
1319,1512,1515,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1552,1554,
1562,1566,1577,1578,1584,1592,1601,1602,1613,1617,1626,1627,1628,1629,1634,
1642,1648,1654,1656,1658,1664,1665,1669,1672,1673,1678,1680,1682,1684,1685,
1686,1687,1690,1691,1699,1704,1705,1708,1790,1875,2009,2085,2086,2088,2092,
2101,2103,2104,2105,2106,2107,2108,2110,2116,2118,2120,2121,2127,2128,2131,
2136,2141,2311,2330,2345,2346,2349,2352,2354,2370,2373,2387,2407,2418,2430,
2433,2436,2444,2446,2447,2454,2465,2532,2535,2765,2766,2770,2772,2776,2777,
2779,2783,2787,2791,2795,2797,2799,2801,2802,2803,2804,2805,2808,2811,2813,
2816,2818,2822,2825,2845,2849,2856,3047,3103,3157,3158,3163,3306,3311,3321,
3323,3327,3333,3336,3338,3347,3353,3368,3371,3376,3378,3607,3610,3617,3619,
3771,3782,3942,3946,3957,4172],[1,2,3,4,5,6,7,8,9,10,12,13,15,16,17,19,20,21,
22,23,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,50,52,55,56,62,65,
68,70,71,73,75,76,77,79,80,87,92,106,107,108,109,118,120,121,122,123,124,125,
126,139,141,142,145,153,154,155,156,158,159,160,161,162,163,164,165,166,168,
169,170,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,
189,190,191,192,193,194,195,197,199,200,201,203,204,205,206,208,209,210,231,
232,262,268,270,275,278,279,281,283,338,366,367,369,372,373,374,375,376,377,
378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,399,400,401,
402,405,407,408,409,445,447,449,455,457,467,471,474,475,480,481,482,483,484,
485,486,487,488,489,491,496,497,498,499,500,502,507,511,522,525,526,527,528,
529,532,533,534,535,537,544,546,547,548,549,550,551,552,553,554,555,556,557,
558,560,561,562,564,569,570,574,575,578,580,581,582,583,589,590,591,592,593,
595,596,598,602,603,604,605,607,609,610,613,617,620,623,629,630,631,632,761,
857,858,859,860,861,862,863,864,866,867,868,877,878,879,880,881,882,883,884,
885,886,887,888,889,890,891,892,893,894,895,903,904,905,906,908,909,910,911,
913,914,915,916,918,919,921,922,923,924,925,926,927,929,930,931,932,933,934,
935,936,937,938,939,940,941,942,943,944,945,946,947,951,952,953,954,955,958,
959,960,961,962,1051,1071,1078,1083,1087,1089,1098,1127,1133,1134,1135,1145,
1160,1161,1162,1163,1164,1165,1166,1168,1170,1172,1175,1181,1182,1198,1202,
1215,1216,1221,1227,1238,1245,1250,1256,1293,1294,1295,1296,1297,1300,1303,
1304,1305,1306,1307,1308,1317,1318,1319,1320,1321,1512,1514,1515,1519,1520,
1521,1522,1523,1524,1525,1526,1527,1528,1552,1553,1554,1555,1562,1563,1566,
1567,1568,1572,1573,1574,1575,1577,1578,1584,1585,1588,1589,1592,1596,1597,
1598,1599,1601,1602,1614,1615,1618,1619,1620,1621,1622,1623,1624,1625,1626,
1629,1630,1631,1632,1633,1634,1636,1637,1638,1639,1642,1646,1649,1650,1651,
1652,1653,1654,1655,1656,1658,1659,1660,1661,1662,1663,1664,1666,1668,1669,
1670,1671,1673,1674,1675,1676,1678,1679,1680,1681,1682,1683,1684,1685,1686,
1687,1688,1690,1691,1692,1693,1694,1700,1701,1702,1703,1704,1705,1706,1707,
1709,1710,1711,1790,1889,1999,2011,2085,2087,2090,2091,2093,2095,2101,2103,
2104,2105,2106,2107,2108,2110,2116,2117,2118,2119,2120,2121,2122,2123,2127,
2128,2129,2130,2131,2134,2135,2137,2138,2139,2140,2142,2143,2313,2322,2323,
2324,2329,2330,2334,2338,2339,2340,2341,2345,2346,2349,2353,2355,2356,2357,
2369,2371,2372,2374,2389,2395,2407,2412,2417,2421,2430,2431,2432,2434,2435,
2437,2442,2443,2445,2446,2448,2449,2450,2451,2452,2453,2454,2462,2463,2464,
2532,2535,2537,2767,2768,2769,2770,2772,2773,2774,2776,2777,2778,2779,2780,
2781,2782,2783,2788,2789,2790,2794,2795,2796,2797,2798,2799,2801,2802,2803,
2804,2805,2806,2807,2811,2813,2814,2815,2816,2817,2818,2819,2823,2824,2825,
2826,2843,2845,2846,2847,2849,2853,2854,2855,3032,3050,3102,3104,3157,3158,
3160,3165,3166,3307,3312,3313,3322,3324,3325,3326,3334,3335,3336,3338,3339,
3340,3348,3350,3351,3352,3368,3369,3371,3372,3373,3376,3377,3379,3380,3382,
3607,3613,3617,3618,3619,3620,3772,3783,3785,3943,3947,3948,3957,3958,4173],[1
,2,3,4,5,6,8,9,10,12,13,15,16,17,19,20,21,22,23,28,29,30,31,32,33,34,35,37,40,
41,42,43,44,45,50,52,55,65,68,70,71,74,79,80,81,92,107,108,118,119,120,121,128
,143,153,154,156,160,162,165,166,168,170,172,173,174,175,176,179,180,181,182,
183,184,185,186,187,188,189,190,191,193,205,206,221,232,268,270,272,287,331,
366,367,368,369,371,372,380,381,382,383,384,385,386,390,391,392,405,406,407,
408,411,412,413,454,458,506,522,526,528,529,532,544,546,549,551,552,553,554,
555,557,558,559,560,597,598,599,600,605,620,621,629,634,638,757,848,849,876,
877,878,879,880,881,883,886,887,888,894,895,905,911,912,913,914,917,918,919,
920,921,922,933,934,938,939,940,941,942,943,944,945,957,964,965,1044,1095,1105
,1126,1127,1134,1137,1248,1249,1250,1253,1293,1294,1295,1296,1300,1309,1310,
1311,1324,1325,1326,1535,1536,1537,1538,1540,1551,1552,1553,1606,1607,1620,
1626,1627,1628,1630,1632,1633,1636,1637,1638,1668,1669,1670,1671,1673,1677,
1791,1896,1930,2085,2086,2087,2088,2090,2091,2092,2095,2097,2098,2111,2112,
2120,2121,2122,2123,2154,2156,2161,2162,2304,2354,2355,2356,2377,2380,2381,
2384,2533,2534,2538,2758,2759,2760,2761,2763,2765,2766,2767,2768,2769,2777,
2778,2820,2821,2830,2857,3024,3152,3169,3176,3177,3306,3307,3310,3358,3359,
3360,3361,3605,3606,3614,3628,3763,3944,3964,3965,4174],[1,2,3,4,5,6,7,8,10,13
,16,18,21,25,28,29,32,33,35,36,38,39,40,44,45,47,51,68,72,83,84,91,97,98,103,
115,118,120,121,122,123,124,125,126,155,166,167,168,173,182,183,185,189,196,
198,264,310,317,318,366,369,370,373,374,375,376,377,378,379,381,382,386,387,
393,394,395,396,397,398,405,410,536,554,563,629,630,631,632,674,852,853,854,
855,856,876,878,884,894,896,897,898,899,900,901,904,906,918,928,930,943,949,
950,1294,1297,1301,1302,1305,1306,1307,1308,1317,1319,1322,1323,1541,1545,1546
,1549,1550,1560,1561,1608,1612,1617,1632,1640,1641,1790,2086,2089,2094,2128,
2131,2132,2133,2136,2144,2145,2146,2379,2386,2532,2535,2536,2787,2792,2793,
3158,3159,3161,3162,3163,3164,3167,3608,3609,3610,3611,3612,3615,3616,3621,
3622,3623,3624,3959,3961,3962,3963,4175],[1,2,4,5,6,7,8,9,10,12,13,19,20,23,25
,28,29,31,32,34,35,40,41,42,43,44,46,50,65,71,75,77,81,87,93,103,107,110,118,
120,121,122,123,124,125,126,139,141,142,145,153,154,155,156,158,160,161,162,
163,164,168,172,173,174,177,178,179,180,188,189,190,200,201,202,204,205,209,
210,221,247,248,249,262,267,288,366,367,369,380,381,383,384,385,386,387,388,
389,390,393,399,400,401,402,405,407,408,409,449,455,478,480,481,482,485,493,
500,507,522,525,528,551,557,559,560,562,570,575,578,580,592,604,612,615,620,
629,630,631,632,703,849,852,857,858,859,860,861,862,863,864,866,867,868,876,
877,880,881,882,883,895,911,913,914,916,918,919,929,930,931,932,936,938,942,
944,945,946,951,952,954,958,962,1041,1083,1117,1119,1126,1160,1188,1200,1211,
1221,1257,1260,1293,1294,1295,1296,1297,1303,1304,1317,1318,1319,1320,1321,
1514,1537,1539,1542,1552,1563,1567,1568,1572,1573,1574,1575,1584,1592,1601,
1602,1608,1609,1614,1618,1626,1627,1628,1642,1653,1659,1660,1661,1663,1669,
1673,1675,1679,1691,1701,1710,1790,1858,1985,2085,2086,2087,2088,2092,2103,
2104,2105,2106,2107,2108,2117,2119,2120,2121,2136,2137,2139,2143,2147,2148,
2149,2329,2354,2364,2365,2369,2378,2383,2389,2418,2425,2439,2464,2535,2537,
2765,2766,2770,2772,2777,2780,2781,2782,2798,2806,2809,2810,2814,2815,2823,
2832,2833,2835,2837,2845,2849,2855,3090,3099,3157,3163,3165,3170,3306,3312,
3328,3330,3334,3341,3342,3344,3347,3356,3357,3379,3617,3620,3638,3787,3801,
3942,3947,3949,4176],[1,2,3,4,5,6,7,8,9,10,12,13,15,16,17,21,22,23,25,28,29,30
,31,32,33,34,35,37,40,41,42,43,44,45,46,50,51,52,55,68,70,73,74,77,79,91,101,
103,110,118,120,121,122,123,124,125,126,139,141,142,145,153,154,155,156,159,
160,162,165,166,168,170,172,173,174,175,176,181,182,183,184,185,186,187,188,
189,191,193,199,201,202,204,206,208,232,244,245,247,258,264,284,366,367,369,
372,380,381,382,383,384,385,386,387,388,389,390,391,392,393,399,400,401,402,
405,407,408,409,445,447,474,476,479,482,485,490,500,502,507,511,521,522,526,
528,529,532,536,544,546,549,551,552,553,554,555,558,569,574,576,586,597,612,
615,619,629,630,631,632,701,849,852,857,858,859,860,861,862,863,864,866,867,
868,876,877,878,879,883,884,886,887,888,894,905,911,913,914,915,918,919,921,
922,930,933,934,937,938,939,940,941,942,943,944,945,946,953,955,958,961,1051,
1069,1117,1119,1127,1134,1156,1188,1196,1209,1225,1259,1261,1293,1294,1295,
1296,1297,1300,1303,1304,1317,1318,1319,1320,1321,1512,1538,1539,1541,1552,
1553,1562,1566,1577,1578,1584,1585,1588,1589,1592,1596,1597,1598,1599,1601,
1602,1608,1609,1613,1617,1620,1630,1632,1633,1636,1637,1638,1642,1646,1648,
1658,1664,1665,1668,1669,1670,1671,1672,1673,1678,1691,1699,1708,1790,1857,
1984,2085,2086,2087,2090,2091,2095,2103,2104,2105,2106,2107,2108,2116,2118,
2120,2121,2122,2123,2136,2139,2141,2143,2147,2148,2149,2311,2355,2356,2362,
2363,2370,2379,2382,2387,2417,2421,2425,2439,2465,2535,2537,2767,2768,2769,
2770,2772,2773,2774,2777,2778,2779,2783,2797,2808,2809,2810,2811,2813,2822,
2832,2833,2834,2836,2843,2845,2846,2847,2849,2856,3089,3096,3157,3163,3165,
3170,3307,3311,3328,3330,3333,3341,3343,3345,3348,3350,3354,3355,3378,3617,
3618,3619,3638,3786,3802,3943,3946,3949,4177],[1,2,3,4,5,6,7,8,12,13,19,20,21,
25,28,29,31,32,33,34,35,36,38,39,40,41,42,44,45,46,47,71,83,91,93,97,103,115,
117,118,120,121,122,123,124,125,126,162,163,172,173,174,177,178,179,183,189,
190,197,198,267,318,355,359,364,366,367,369,370,373,374,375,376,377,378,379,
380,381,382,383,384,385,386,387,388,389,393,394,395,396,397,398,399,400,401,
402,405,409,410,560,562,629,630,631,632,817,852,853,854,855,856,877,880,882,
883,884,891,892,893,894,895,898,899,900,901,904,906,908,909,910,918,927,928,
929,942,946,947,1294,1295,1297,1301,1302,1303,1304,1305,1306,1307,1308,1317,
1318,1319,1320,1321,1322,1323,1541,1542,1545,1547,1548,1550,1560,1608,1612,
1618,1626,1639,1698,1790,2087,2093,2128,2129,2131,2132,2133,2134,2135,2139,
2140,2142,2143,2378,2460,2532,2535,2536,2537,2788,2794,3158,3159,3160,3161,
3162,3165,3166,3609,3613,3615,3616,3622,3623,3625,3626,3636,3955,3960,3963,
3968,3973,4178],[1,2,3,4,5,6,7,8,12,13,19,20,21,25,28,29,31,32,33,34,35,36,38,
39,40,41,42,44,45,46,47,71,84,91,93,98,103,115,117,118,120,121,122,123,124,125
,126,162,163,172,173,174,177,178,179,183,189,190,197,198,267,317,355,360,365,
366,367,369,370,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,
388,389,393,394,395,396,397,398,399,400,401,402,405,409,410,560,562,629,630,
631,632,818,852,853,854,855,856,877,880,882,883,884,891,892,893,894,895,898,
899,900,901,904,906,908,909,910,918,927,928,929,942,946,947,1294,1295,1297,
1301,1302,1303,1304,1305,1306,1307,1308,1317,1318,1319,1320,1321,1322,1323,
1541,1542,1546,1547,1548,1549,1561,1608,1612,1618,1626,1639,1697,1790,2087,
2093,2128,2129,2131,2132,2133,2134,2135,2139,2140,2142,2143,2378,2461,2532,
2535,2536,2537,2788,2794,3158,3159,3160,3161,3162,3165,3166,3608,3613,3615,
3616,3621,3624,3625,3626,3635,3956,3960,3962,3967,3974,4179],[1,2,4,5,6,7,8,9,
10,12,13,19,20,22,23,28,29,31,32,34,35,40,41,42,43,44,46,50,51,71,73,74,75,77,
87,101,107,108,118,120,121,122,123,124,125,126,139,141,142,145,153,154,155,156
,158,159,160,161,162,163,164,168,172,173,174,177,178,188,189,199,200,205,206,
208,209,210,239,241,258,262,280,331,347,366,367,369,380,381,383,384,385,386,
387,388,389,390,393,399,400,401,402,405,407,408,409,445,447,449,455,474,479,
480,481,500,507,521,522,525,528,536,551,562,569,570,571,574,575,576,578,580,
586,592,597,604,619,620,621,629,630,631,632,799,848,849,857,858,859,860,861,
862,863,864,866,867,868,876,877,882,883,884,911,913,914,915,916,918,919,929,
930,931,932,936,937,938,942,944,945,946,951,952,953,954,955,961,962,1069,1083,
1137,1139,1142,1156,1160,1221,1224,1225,1228,1230,1235,1293,1294,1295,1296,
1297,1303,1304,1317,1318,1319,1320,1321,1512,1514,1535,1539,1552,1562,1563,
1566,1567,1568,1572,1573,1574,1575,1577,1578,1584,1592,1601,1602,1606,1607,
1613,1614,1617,1618,1642,1648,1653,1658,1659,1660,1661,1663,1664,1665,1669,
1672,1673,1675,1678,1679,1699,1701,1708,1710,1790,1934,2022,2085,2086,2087,
2097,2098,2099,2103,2104,2105,2106,2107,2108,2116,2117,2118,2119,2120,2121,
2136,2137,2139,2141,2143,2304,2311,2329,2358,2360,2361,2369,2370,2376,2387,
2389,2427,2464,2465,2535,2537,2758,2770,2772,2777,2779,2780,2781,2782,2783,
2797,2798,2806,2808,2811,2813,2814,2815,2820,2821,2822,2823,2840,2841,2845,
2849,2855,2856,3026,3073,3157,3163,3165,3171,3310,3311,3312,3317,3318,3333,
3334,3362,3365,3366,3367,3378,3379,3617,3619,3620,3646,3764,3794,3946,3947,
3952,4180],[1,2,3,4,5,6,7,8,13,21,22,23,25,28,29,32,33,35,36,38,39,40,44,45,47
,84,91,98,103,108,115,117,118,120,121,122,123,124,125,126,173,183,189,198,201,
204,206,208,317,350,355,366,369,370,373,374,375,376,377,378,379,381,382,386,
387,393,394,395,396,397,398,405,410,593,595,629,630,631,632,827,848,849,852,
853,854,855,856,884,894,898,899,900,901,904,906,918,928,958,961,1294,1297,1301
,1302,1305,1306,1307,1308,1317,1319,1322,1323,1541,1546,1549,1561,1607,1608,
1612,1680,1698,1790,2097,2099,2128,2131,2132,2133,2147,2149,2428,2532,2535,
2536,2850,2852,3158,3159,3161,3162,3170,3171,3608,3615,3616,3621,3624,3634,
3636,3953,3955,3962,4181],[1,2,3,4,5,6,7,8,13,21,22,23,25,28,29,32,33,35,36,38
,39,40,44,45,47,83,91,97,103,108,115,117,118,120,121,122,123,124,125,126,173,
183,189,198,201,204,206,208,318,350,355,366,369,370,373,374,375,376,377,378,
379,381,382,386,387,393,394,395,396,397,398,405,410,593,595,629,630,631,632,
826,848,849,852,853,854,855,856,884,894,898,899,900,901,904,906,918,928,958,
961,1294,1297,1301,1302,1305,1306,1307,1308,1317,1319,1322,1323,1541,1545,1550
,1560,1607,1608,1612,1680,1697,1790,2097,2099,2128,2131,2132,2133,2147,2149,
2428,2532,2535,2536,2850,2852,3158,3159,3161,3162,3170,3171,3609,3615,3616,
3622,3623,3634,3635,3953,3956,3963,4182],[1,2,3,4,5,6,7,8,9,10,12,13,15,16,17,
19,20,21,22,23,28,29,30,31,32,33,34,35,37,40,41,42,43,44,45,46,50,52,55,65,68,
70,71,74,79,80,81,92,107,108,118,120,121,122,123,124,125,126,139,141,142,145,
153,154,155,156,160,162,165,166,168,170,172,173,174,175,176,179,180,181,182,
183,184,185,186,187,188,189,190,191,193,205,206,208,221,232,268,270,272,287,
331,366,367,369,372,380,381,382,383,384,385,386,387,388,389,390,391,392,393,
399,400,401,402,405,407,408,409,500,502,507,511,522,526,528,529,532,544,546,
549,551,552,553,554,555,557,558,559,560,576,597,598,599,600,605,620,621,629,
630,631,632,757,848,849,857,858,859,860,861,862,863,864,866,867,868,876,877,
878,879,880,881,883,886,887,888,894,895,905,911,913,914,918,919,921,922,930,
933,934,938,939,940,941,942,943,944,945,946,961,1041,1051,1126,1127,1134,1137,
1139,1142,1248,1249,1250,1253,1293,1294,1295,1296,1297,1300,1303,1304,1317,
1318,1319,1320,1321,1535,1536,1537,1538,1540,1552,1553,1584,1585,1588,1589,
1592,1596,1597,1598,1599,1601,1602,1606,1607,1620,1626,1627,1628,1630,1632,
1633,1636,1637,1638,1642,1646,1668,1669,1670,1671,1673,1708,1790,1930,1955,
2085,2086,2087,2088,2090,2091,2092,2095,2097,2098,2099,2103,2104,2105,2106,
2107,2108,2120,2121,2122,2123,2136,2139,2143,2304,2354,2355,2356,2377,2380,
2381,2384,2417,2418,2421,2427,2535,2537,2758,2759,2760,2761,2763,2765,2766,
2767,2768,2769,2770,2772,2773,2774,2777,2778,2820,2821,2841,2843,2845,2846,
2847,2849,3024,3095,3157,3163,3165,3171,3306,3307,3310,3317,3318,3347,3348,
3350,3358,3359,3360,3361,3617,3618,3646,3763,3793,3942,3943,3952,4183],[1,2,3,
4,5,6,7,8,10,13,16,21,25,28,29,32,33,35,36,38,39,40,44,45,47,51,68,91,103,117,
118,120,121,122,123,124,125,126,155,166,168,173,182,183,185,189,198,264,355,
366,369,370,373,374,375,376,377,378,379,381,382,386,387,393,394,395,396,397,
398,405,410,536,554,629,630,631,632,780,852,853,854,855,856,876,878,884,894,
897,898,899,900,901,904,906,918,928,930,943,949,1294,1297,1301,1302,1305,1306,
1307,1308,1317,1319,1322,1323,1541,1549,1550,1608,1617,1632,1640,1697,1698,
1790,2086,2094,2128,2131,2132,2133,2136,2144,2145,2379,2532,2535,2536,2787,
2793,3158,3159,3161,3162,3163,3167,3610,3612,3615,3623,3624,3635,3636,3955,
3956,3959,4184],[1,2,3,4,5,6,7,8,10,12,13,16,19,20,21,22,23,25,28,29,31,32,33,
34,35,36,38,39,40,41,42,44,45,46,47,51,68,71,74,77,80,91,92,93,103,108,118,120
,121,122,123,124,125,126,155,162,163,166,168,172,173,174,177,178,179,182,183,
185,189,190,197,198,201,204,206,208,264,267,270,280,350,366,367,369,370,373,
374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,393,394,395,
396,397,398,399,400,401,402,405,409,410,482,485,488,489,536,554,560,562,576,
581,593,595,597,602,629,630,631,632,774,848,849,852,853,854,855,856,876,877,
878,880,882,883,884,891,892,893,894,895,897,898,899,900,901,904,906,908,909,
910,918,927,928,929,930,942,943,946,947,949,958,961,1165,1169,1294,1295,1297,
1301,1302,1303,1304,1305,1306,1307,1308,1317,1318,1319,1320,1321,1322,1323,
1535,1536,1539,1540,1541,1542,1547,1548,1549,1550,1607,1608,1617,1618,1626,
1632,1639,1640,1680,1691,1694,1708,1709,1790,2086,2087,2093,2094,2097,2099,
2128,2129,2131,2132,2133,2134,2135,2136,2139,2140,2142,2143,2144,2145,2147,
2149,2376,2378,2379,2380,2428,2432,2433,2532,2535,2536,2537,2758,2762,2787,
2788,2793,2794,2832,2833,2838,2839,2841,2842,2850,2852,3108,3158,3159,3160,
3161,3162,3163,3165,3166,3167,3170,3171,3387,3388,3610,3612,3613,3615,3623,
3624,3625,3626,3634,3638,3639,3646,3647,3953,3959,3960,3969,3970,4185],[1,2,4,
5,6,7,8,9,10,12,13,19,22,23,25,28,29,32,35,38,39,40,41,43,44,50,65,73,75,76,77
,103,107,108,110,118,120,121,122,123,124,125,126,139,141,142,145,153,154,155,
156,159,160,162,168,173,174,179,180,188,189,194,195,199,201,202,203,204,205,
206,208,247,249,281,331,339,350,351,366,369,373,374,375,376,377,378,379,381,
383,386,387,390,393,405,407,408,445,447,449,457,467,471,474,482,483,484,485,
496,497,498,500,507,522,528,551,556,557,561,569,574,585,593,595,607,609,612,
613,615,620,621,629,630,631,632,810,848,849,852,857,858,859,860,861,862,863,
864,866,867,868,881,884,903,904,906,911,913,914,915,918,919,924,925,926,930,
937,938,942,944,945,953,955,958,959,960,961,1078,1098,1117,1119,1137,1139,1142
,1168,1181,1188,1194,1195,1202,1241,1260,1293,1294,1296,1297,1305,1306,1307,
1308,1317,1319,1512,1515,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,
1552,1554,1562,1566,1577,1578,1584,1592,1601,1602,1606,1607,1608,1609,1629,
1634,1642,1654,1656,1658,1664,1669,1673,1678,1680,1682,1684,1685,1686,1687,
1690,1691,1704,1705,1790,1914,1918,2028,2085,2097,2098,2099,2101,2103,2104,
2105,2106,2107,2108,2110,2116,2118,2120,2121,2127,2128,2131,2147,2148,2149,
2304,2305,2330,2345,2346,2349,2407,2425,2427,2428,2429,2430,2438,2439,2446,
2454,2532,2535,2770,2772,2776,2777,2779,2783,2795,2797,2799,2801,2802,2803,
2804,2805,2809,2810,2811,2813,2816,2818,2820,2821,2825,2845,2849,2850,2851,
2852,3074,3106,3157,3158,3170,3171,3310,3317,3318,3328,3330,3331,3332,3336,
3338,3341,3363,3364,3368,3371,3376,3607,3617,3619,3634,3795,3798,3800,3949,
3952,3957,4186],[1,2,3,4,5,6,8,10,13,16,19,21,23,25,28,29,30,32,33,35,37,38,40
,41,43,44,45,46,51,65,68,79,91,92,103,107,118,119,120,121,128,143,155,159,160,
164,166,168,173,175,179,180,181,182,183,185,189,193,194,195,200,202,203,205,
209,210,219,239,249,264,268,366,368,369,372,378,379,381,382,383,386,387,390,
391,392,403,405,406,407,408,412,413,458,486,487,490,499,506,508,521,536,544,
554,556,557,561,582,592,598,603,605,610,612,620,629,634,638,697,849,852,876,
878,880,881,884,887,894,903,905,906,915,918,920,921,924,925,926,930,937,938,
940,941,943,945,948,951,952,954,956,962,965,1052,1105,1120,1125,1163,1196,1228
,1250,1260,1293,1294,1296,1300,1305,1309,1311,1316,1317,1324,1326,1538,1540,
1541,1554,1606,1608,1614,1617,1628,1629,1632,1634,1637,1650,1651,1652,1655,
1657,1666,1672,1683,1701,1711,1791,1868,1974,2086,2090,2092,2095,2098,2110,
2116,2119,2120,2122,2124,2127,2128,2136,2141,2148,2155,2156,2162,2352,2360,
2364,2374,2377,2379,2438,2442,2534,2538,2542,2760,2763,2765,2768,2787,2791,
2806,2810,2816,2819,2821,2822,2836,2854,2864,3097,3152,3176,3178,3179,3321,
3343,3351,3357,3359,3364,3367,3606,3614,3629,3642,3805,3954,3965,3966,4187],[1
,2,3,4,5,6,8,10,12,13,15,16,17,19,22,23,25,28,29,30,31,32,33,34,35,37,40,41,42
,43,44,45,55,65,74,79,80,81,101,103,106,107,108,109,118,119,120,121,128,143,
160,165,168,170,172,173,174,175,176,179,180,184,185,186,187,189,191,199,200,
201,202,203,204,205,206,208,209,210,244,249,287,332,338,347,350,366,367,368,
369,371,372,380,381,382,383,384,385,386,390,391,392,405,406,407,408,411,412,
413,454,458,506,532,549,557,583,586,589,590,591,592,593,595,596,597,598,599,
600,612,613,617,619,620,621,623,629,634,638,812,848,849,852,876,877,878,879,
880,881,883,886,887,888,917,918,922,933,934,938,939,945,951,952,953,954,955,
956,958,959,960,961,962,964,1095,1120,1143,1194,1235,1238,1243,1245,1253,1260,
1261,1293,1294,1295,1296,1300,1309,1310,1311,1324,1325,1326,1535,1536,1537,
1538,1607,1608,1613,1614,1615,1616,1620,1628,1630,1680,1681,1699,1700,1701,
1702,1703,1704,1705,1706,1707,1791,1919,2025,2086,2087,2090,2091,2092,2097,
2098,2101,2118,2119,2120,2123,2124,2148,2153,2154,2161,2358,2362,2364,2384,
2428,2435,2436,2437,2533,2534,2538,2758,2759,2760,2761,2765,2767,2795,2796,
2806,2807,2808,2810,2820,2868,3105,3152,3177,3179,3180,3323,3324,3331,3355,
3357,3361,3365,3605,3606,3614,3645,3803,3950,3954,3964,4188],[1,2,4,5,6,8,9,10
,12,13,19,20,23,25,28,29,31,32,35,38,40,41,42,43,44,46,50,65,71,75,77,81,87,93
,103,107,110,118,119,120,121,128,143,153,154,156,158,160,161,162,163,164,168,
172,173,174,177,178,179,180,188,189,190,194,200,201,202,203,205,209,210,221,
247,248,249,262,267,288,366,369,380,381,383,386,388,389,390,403,405,406,407,
408,409,413,464,478,480,481,482,493,496,506,522,525,528,551,557,559,560,562,
570,575,578,580,592,604,612,615,620,629,634,638,703,849,852,876,877,880,881,
882,895,911,912,913,914,916,918,919,929,931,932,936,938,942,944,945,946,948,
951,952,954,956,957,962,1044,1096,1120,1126,1160,1188,1200,1211,1221,1257,1260
,1293,1294,1296,1309,1318,1324,1330,1537,1539,1542,1552,1608,1609,1614,1618,
1626,1627,1628,1653,1659,1660,1661,1663,1667,1669,1673,1675,1679,1701,1710,
1791,1869,1985,2085,2086,2088,2092,2111,2112,2117,2119,2120,2121,2124,2125,
2137,2139,2147,2148,2354,2364,2365,2369,2378,2383,2439,2464,2538,2540,2765,
2766,2777,2798,2806,2809,2810,2823,2831,2833,2835,2837,2855,3099,3152,3169,
3175,3179,3306,3334,3341,3342,3344,3356,3357,3614,3631,3649,3801,3944,3951,
3954,4189],[1,2,4,5,6,8,9,10,12,13,19,20,22,23,28,29,32,35,38,40,41,43,44,46,
50,51,65,71,73,74,75,76,77,101,108,118,119,120,121,128,143,153,154,155,156,159
,160,162,164,168,173,174,179,180,188,189,190,194,195,199,201,203,204,206,208,
210,219,221,258,280,281,282,332,366,369,378,379,381,383,386,387,390,403,405,
406,407,408,413,474,479,482,483,484,485,496,497,498,506,508,521,522,528,536,
551,556,557,559,560,561,569,574,576,580,586,593,595,597,607,609,613,619,629,
634,638,743,876,880,881,884,895,903,906,911,912,913,914,915,918,919,924,925,
926,930,937,938,942,944,945,948,953,955,956,957,958,959,960,961,1044,1052,1125
,1126,1143,1156,1167,1168,1169,1181,1202,1203,1225,1243,1254,1293,1294,1296,
1305,1309,1316,1317,1324,1552,1554,1613,1617,1626,1627,1628,1629,1634,1648,
1654,1656,1658,1664,1665,1667,1669,1672,1673,1678,1680,1682,1684,1685,1686,
1687,1690,1691,1699,1704,1705,1708,1791,1951,2009,2085,2086,2088,2092,2101,
2110,2111,2112,2116,2118,2120,2121,2127,2128,2136,2141,2153,2155,2352,2354,
2370,2373,2430,2433,2436,2444,2446,2447,2454,2465,2538,2542,2765,2766,2776,
2777,2787,2791,2795,2797,2808,2816,2818,2822,2825,2856,2865,3103,3152,3169,
3178,3180,3306,3321,3323,3327,3333,3353,3368,3614,3629,3648,3771,3944,3950,
3966,4190],[1,2,3,4,5,6,8,10,12,13,16,19,20,21,22,23,28,29,30,31,32,33,35,37,
38,40,41,42,43,44,45,46,65,68,71,77,79,80,81,92,101,107,108,110,118,119,120,
121,128,143,158,160,161,162,163,164,166,168,172,173,175,177,178,179,180,181,
182,183,185,189,193,194,199,201,203,204,205,206,208,210,241,245,268,270,288,
332,351,366,368,369,372,380,381,382,383,386,388,389,390,391,392,403,405,406,
407,408,409,412,413,458,464,475,478,482,488,489,491,499,506,525,544,554,557,
562,581,586,593,595,598,602,605,610,613,615,619,620,629,634,638,806,849,876,
877,878,880,881,882,887,894,905,916,918,920,921,929,931,932,936,938,940,941,
943,945,946,948,953,955,956,958,959,960,961,965,1096,1105,1143,1165,1195,1198,
1211,1230,1243,1250,1259,1293,1294,1296,1300,1309,1311,1318,1324,1326,1330,
1537,1538,1539,1540,1606,1609,1613,1618,1628,1632,1637,1649,1657,1662,1675,
1680,1688,1692,1693,1694,1699,1704,1705,1709,1791,1941,2035,2086,2090,2092,
2095,2098,2101,2117,2118,2120,2122,2125,2137,2139,2147,2153,2156,2162,2361,
2363,2377,2383,2429,2432,2436,2450,2534,2538,2540,2760,2763,2765,2768,2795,
2808,2809,2821,2823,2826,2833,2835,2853,2866,3101,3152,3175,3176,3180,3323,
3325,3332,3344,3354,3359,3366,3606,3614,3631,3641,3797,3950,3951,3965,4191],[1
,2,3,4,5,6,8,10,12,13,15,16,17,19,20,22,23,28,29,30,31,32,33,34,35,37,38,40,41
,42,43,44,45,46,51,55,56,62,65,71,74,77,79,80,81,108,110,118,119,120,121,128,
143,155,158,159,160,161,162,163,164,165,168,169,170,172,173,174,175,176,177,
178,179,180,184,185,186,187,189,190,191,192,194,195,197,201,205,206,219,231,
280,284,287,288,339,366,367,368,369,371,372,378,379,380,381,382,383,384,385,
386,387,388,389,390,391,392,403,405,406,407,408,409,411,412,413,454,458,464,
476,478,482,485,506,508,521,525,527,532,533,534,535,536,537,547,548,549,550,
556,557,560,561,562,564,571,576,585,593,597,598,599,600,615,621,629,634,638,
765,848,849,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,
892,893,902,903,906,907,915,916,917,918,922,923,924,925,926,927,929,930,931,
932,933,934,935,936,937,938,939,945,946,947,948,964,1052,1095,1096,1097,1111,
1125,1133,1135,1148,1152,1153,1169,1209,1211,1224,1241,1253,1293,1294,1295,
1296,1300,1305,1309,1310,1311,1316,1317,1318,1324,1325,1326,1330,1535,1536,
1537,1538,1539,1554,1555,1607,1609,1617,1618,1619,1620,1621,1622,1623,1624,
1625,1628,1629,1630,1631,1634,1635,1639,1672,1674,1675,1676,1791,1898,2002,
2086,2087,2090,2091,2092,2097,2098,2110,2116,2117,2120,2123,2125,2127,2128,
2129,2130,2136,2137,2138,2139,2140,2141,2147,2154,2155,2157,2158,2161,2305,
2352,2353,2357,2376,2382,2383,2384,2533,2534,2538,2540,2542,2758,2759,2760,
2761,2765,2767,2787,2788,2789,2790,2791,2809,2816,2817,2820,2822,2823,2824,
2832,2833,2834,2835,2840,2841,2850,2851,2867,3025,3152,3175,3177,3178,3182,
3183,3321,3322,3344,3345,3361,3362,3363,3384,3385,3386,3387,3605,3606,3614,
3629,3631,3643,3807,3951,3964,3966,3971,3972,4192],[1,2,3,4,5,6,7,8,9,15,16,24
,25,34,37,41,42,43,44,45,46,52,96,97,98,99,105,111,119,120,121,122,123,125,126
,127,139,142,145,154,156,165,166,191,193,207,333,344,345,368,371,385,392,399,
400,402,406,407,409,502,511,526,558,565,566,567,568,611,632,633,634,635,636,
637,733,850,851,858,859,860,864,866,872,912,913,917,920,934,941,1141,1282,1298
,1309,1310,1311,1312,1313,1321,1551,1556,1557,1558,1559,1597,1598,1599,1610,
1611,1646,1671,1689,1795,1901,2019,2020,2021,2100,2102,2104,2111,2113,2114,
2115,2154,2156,2306,2367,2368,2544,2751,2752,2753,2756,2757,2771,2827,2828,
2829,2830,2847,2983,3107,3168,3320,3370,3640,3644,3767,3768,3769,3770,4193],[1
,2,4,5,6,7,8,9,10,12,13,19,20,23,25,28,29,31,32,35,39,40,41,42,43,44,46,50,65,
71,75,77,81,87,93,103,107,110,118,120,121,127,129,142,146,151,153,154,156,158,
160,161,162,163,164,168,172,173,174,177,178,179,180,188,189,190,200,201,202,
205,209,210,221,247,248,249,262,267,288,366,369,380,381,383,386,388,389,390,
404,405,407,408,409,467,470,473,478,480,481,482,493,522,525,528,551,557,559,
560,562,570,575,578,580,592,604,612,615,620,629,635,639,703,849,852,872,876,
877,880,881,882,895,911,913,914,916,918,919,929,931,932,936,938,942,944,945,
946,951,952,954,962,963,1063,1126,1160,1188,1200,1211,1221,1257,1260,1293,1294
,1296,1318,1331,1537,1539,1542,1552,1583,1608,1609,1614,1618,1626,1627,1628,
1653,1659,1660,1661,1663,1669,1673,1675,1679,1701,1710,1793,1831,1985,2085,
2086,2088,2092,2113,2117,2119,2120,2121,2126,2137,2139,2147,2148,2354,2364,
2365,2369,2378,2383,2439,2464,2541,2765,2766,2777,2798,2806,2809,2810,2823,
2833,2835,2837,2855,2858,3099,3155,3156,3174,3306,3334,3341,3342,3344,3356,
3357,3632,3633,3650,3801,3945,4194],[1,2,3,4,6,9,10,11,12,13,14,15,16,17,19,21
,22,23,24,25,29,31,33,35,42,44,45,48,49,50,51,52,54,55,57,62,63,64,65,66,67,68
,69,70,73,74,75,76,77,78,79,80,81,82,85,86,89,90,91,96,99,100,101,102,103,104,
105,108,109,110,113,114,140,141,144,165,172,184,185,186,187,189,214,218,220,
228,229,232,233,234,236,237,238,242,243,244,245,247,254,255,257,258,259,264,
265,266,273,274,281,283,284,285,286,287,290,300,301,302,303,304,305,316,326,
327,328,329,330,336,340,343,344,439,446,447,448,450,451,452,453,457,459,460,
501,503,504,505,507,509,510,549,565,667,671,684,685,686,687,688,691,692,693,
694,695,696,700,701,716,717,719,720,721,723,724,756,767,768,784,788,796,829,
1033,1049,1055,1058,1070,1073,1074,1075,1076,1080,1084,1090,1091,1092,1093,
1094,1098,1282,1335,1388,1390,1391,1392,1393,1395,1408,1427,1432,1487,1489,
1817,1818,1819,1824,1832,1845,1846,1887,1899,1902,2164,2246,2547,2548,2549,
2591,2592,2595,2596,2597,2598,2617,2623,2645,2715,3186,3187,3191,3260,3279,
3978,4195],[1,2,3,4,5,6,9,11,12,13,14,15,16,17,18,21,26,28,30,32,40,41,44,50,
52,54,55,57,58,59,60,61,64,67,68,69,70,118,130,131,132,135,136,139,141,144,153
,156,157,160,162,169,170,171,173,174,175,176,181,215,218,222,223,224,225,226,
229,232,233,234,381,383,405,420,421,422,424,425,426,427,428,429,430,431,432,
500,502,507,510,522,524,528,529,531,532,533,539,543,544,545,546,650,652,663,
667,669,670,857,911,942,945,969,970,971,972,973,974,975,977,978,979,980,981,
1039,1042,1043,1045,1047,1051,1058,1067,1127,1128,1129,1130,1343,1356,1360,
1378,1379,1387,1584,1585,1642,1669,1716,1717,1718,1719,1720,1841,1844,1871,
1902,2178,2179,2185,2186,2192,2195,2294,2307,2413,2417,2471,2567,2594,2607,
2873,2874,2876,2878,2899,2904,2905,2984,3007,3221,3402,3403,3425,3502,3674,
3685,3811,3997,4196],[1,2,3,4,5,6,8,9,11,12,13,14,15,16,17,18,21,26,28,30,32,
40,41,44,50,52,54,55,57,58,59,60,61,64,67,68,69,70,121,130,131,132,135,136,139
,141,144,145,148,152,153,156,157,160,162,169,170,171,173,174,175,176,181,216,
218,222,223,224,225,226,229,232,233,234,387,420,421,422,424,425,426,427,428,
429,430,431,432,500,502,507,510,522,524,528,529,531,532,533,539,543,544,545,
546,651,667,669,670,866,867,873,969,970,971,972,973,974,975,977,978,979,980,
981,1039,1042,1043,1045,1047,1051,1058,1059,1064,1065,1067,1127,1128,1129,1130
,1343,1358,1359,1387,1602,1603,1716,1717,1718,1719,1720,1841,1844,1871,1902,
2178,2179,2189,2191,2300,2302,2350,2471,2569,2594,2606,2607,2873,2874,2876,
2878,2900,3021,3402,3403,3430,3521,3677,3680,3811,4197],[1,2,3,4,5,6,9,10,11,
12,13,14,15,16,17,19,20,21,22,23,26,28,29,31,32,33,35,40,41,42,44,45,50,51,52,
53,54,55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,87,92,101,
106,107,108,109,110,118,130,132,136,139,140,153,156,160,162,165,166,168,172,
173,174,179,180,182,183,184,185,186,187,188,189,190,218,221,228,229,230,231,
232,233,234,258,261,262,263,268,269,270,271,272,275,278,279,281,283,284,285,
286,287,290,331,337,338,340,366,369,380,381,382,383,405,414,416,420,428,429,
445,446,448,449,452,453,500,501,502,504,505,522,526,528,549,551,552,553,554,
555,557,559,560,667,668,737,742,757,758,759,760,761,762,767,848,849,876,877,
878,879,880,881,894,895,911,918,919,939,942,943,945,971,994,997,1039,1040,1047
,1049,1051,1053,1069,1070,1071,1072,1073,1074,1075,1076,1078,1079,1080,1083,
1085,1086,1089,1126,1134,1343,1344,1417,1535,1536,1537,1538,1540,1552,1606,
1607,1626,1627,1628,1630,1632,1633,1668,1669,1752,1841,1842,1873,1874,1877,
1878,1879,1880,1881,1887,1888,1889,2166,2167,2168,2169,2179,2180,2304,2354,
2355,2377,2380,2381,2384,2610,2612,2873,2875,2887,2888,2890,2891,3024,3193,
3417,3424,3665,3666,3681,3981,3990,3991,4198],[1,2,3,4,5,6,9,10,12,13,14,15,16
,17,19,20,22,23,26,28,29,31,32,33,35,40,41,42,44,45,50,51,52,53,54,55,56,62,63
,64,65,71,73,74,75,76,77,79,80,81,101,108,109,110,118,130,132,136,139,140,155,
159,160,163,165,168,172,173,177,178,179,180,184,185,186,187,189,195,219,221,
227,228,229,230,231,258,280,281,282,283,284,285,286,287,288,289,290,332,339,
340,366,369,380,381,382,383,405,414,416,423,429,433,445,446,448,449,452,453,
500,501,502,504,505,521,527,536,547,548,549,550,556,557,561,562,665,668,734,
743,763,764,765,766,767,848,849,876,877,878,879,880,881,882,884,915,918,924,
929,930,939,945,984,987,997,1041,1047,1048,1049,1050,1069,1070,1071,1072,1073,
1074,1075,1076,1077,1078,1080,1081,1082,1125,1135,1343,1344,1414,1535,1536,
1537,1538,1539,1554,1607,1609,1617,1618,1628,1629,1630,1631,1672,1674,1753,
1840,1843,1875,1876,1877,1882,1883,1884,1885,1886,1887,2166,2167,2168,2169,
2179,2180,2305,2352,2353,2376,2382,2383,2384,2609,2611,2877,2879,2883,2886,
2888,2890,3025,3193,3420,3423,3665,3666,3681,3982,3989,3991,4199],[1,2,4,5,6,9
,10,11,12,13,19,20,22,23,24,26,28,29,31,32,35,40,42,44,50,51,57,65,71,73,74,75
,76,77,82,87,88,100,101,107,108,118,130,132,136,139,140,153,155,156,163,168,
172,173,174,177,178,188,189,199,200,206,209,218,219,221,236,237,239,240,241,
257,258,260,261,262,263,280,281,282,331,332,346,347,366,369,380,381,405,414,
415,420,428,429,445,446,448,449,452,474,479,480,481,500,501,505,528,536,551,
562,569,575,586,592,597,604,688,689,690,742,743,769,799,800,809,848,849,876,
877,882,884,911,918,919,929,930,954,955,971,986,987,1039,1040,1041,1050,1069,
1070,1078,1079,1080,1081,1082,1083,1115,1116,1139,1140,1156,1160,1343,1344,
1456,1535,1539,1552,1606,1607,1613,1614,1617,1618,1648,1653,1658,1659,1721,
1851,1852,1853,1854,1873,1874,1875,1882,1912,1913,1934,1935,1947,1948,2166,
2167,2179,2180,2304,2358,2360,2361,2369,2370,2376,2650,2651,2873,2875,2880,
2882,2883,2886,3026,3193,3404,3409,3665,3681,3981,3989,3994,4200],[1,2,3,4,5,6
,9,10,12,13,14,15,16,17,19,20,21,22,23,24,26,28,29,32,33,35,40,41,44,45,50,52,
55,56,62,63,65,68,70,71,73,74,75,76,77,79,80,81,87,88,90,92,100,101,106,107,
108,109,110,118,130,132,136,139,140,155,159,162,166,173,174,179,180,182,183,
185,189,190,195,199,200,206,209,221,227,231,232,237,240,241,243,245,246,248,
260,262,266,268,270,272,275,278,279,281,282,283,285,286,287,288,289,331,332,
338,339,346,347,351,366,369,382,383,405,415,416,423,429,433,445,446,449,452,
453,479,483,486,487,500,502,504,505,554,556,560,561,576,582,586,592,603,607,
690,699,700,704,757,761,763,764,772,801,804,805,806,809,811,848,849,878,880,
894,895,915,918,924,942,943,954,955,984,986,994,1041,1048,1051,1053,1071,1072,
1073,1077,1078,1080,1083,1085,1086,1089,1115,1116,1139,1140,1163,1167,1343,
1344,1461,1536,1540,1554,1607,1609,1613,1614,1626,1632,1654,1655,1665,1666,
1726,1852,1856,1859,1864,1876,1881,1884,1889,1912,1913,1936,1939,1953,1955,
2168,2169,2179,2180,2305,2358,2363,2365,2373,2374,2380,2658,2661,2877,2879,
2880,2882,2887,2891,3027,3193,3411,3412,3666,3681,3982,3990,3994,4201],[1,2,3,
4,5,6,9,10,11,12,13,14,15,16,17,19,21,22,23,24,25,26,28,29,30,32,35,40,41,44,
50,51,52,54,55,57,62,63,64,65,67,68,69,70,73,74,75,76,77,79,80,81,82,89,90,91,
100,101,103,104,105,108,109,110,118,130,131,132,135,136,139,141,144,153,155,
158,160,162,168,169,170,171,173,174,175,176,179,180,189,199,201,205,206,215,
218,228,229,232,233,234,236,237,242,243,244,245,247,257,258,264,265,266,273,
274,281,283,284,285,286,287,290,336,340,366,369,381,383,405,414,415,416,417,
420,422,424,425,426,427,428,429,430,431,445,447,449,450,457,460,474,475,476,
477,479,482,483,484,500,502,507,510,522,523,528,529,531,532,533,536,537,538,
539,541,557,569,570,571,572,583,584,585,586,597,598,599,600,613,621,650,652,
663,667,688,694,695,696,700,701,756,767,784,788,857,876,880,881,918,945,969,
971,977,978,979,980,981,986,987,988,989,990,991,992,997,1039,1047,1051,1058,
1069,1071,1072,1078,1090,1098,1115,1117,1123,1130,1145,1146,1147,1148,1149,
1150,1151,1156,1202,1212,1223,1240,1253,1343,1351,1353,1356,1378,1432,1512,
1515,1562,1563,1584,1585,1628,1642,1719,1721,1722,1723,1724,1755,1760,1818,
1824,1841,1851,1855,1856,1857,1877,1902,1970,2005,2166,2168,2178,2179,2185,
2186,2192,2220,2294,2311,2313,2314,2315,2393,2407,2413,2489,2567,2623,2688,
2873,2876,2878,2880,2881,2883,2884,2885,2888,2895,2896,2905,2965,2966,2984,
3044,3199,3203,3221,3402,3404,3405,3406,3407,3419,3437,3444,3522,3674,3707,
3837,3983,3984,3997,4202],[1,2,3,4,5,6,9,11,12,13,14,15,16,17,19,20,21,23,25,
26,28,30,32,35,40,41,44,50,52,53,54,55,56,57,63,64,67,68,69,70,71,75,81,87,89,
92,94,95,103,106,107,110,111,112,118,130,131,132,135,136,139,141,144,153,158,
160,161,162,169,170,171,173,174,175,176,179,180,188,190,201,205,215,218,229,
230,232,233,234,242,247,250,251,262,265,269,271,272,275,286,295,296,299,334,
337,369,381,383,405,416,417,420,422,424,425,426,427,428,429,430,431,449,457,
460,477,484,491,494,500,502,507,510,522,525,528,529,530,531,532,533,534,535,
539,541,559,560,570,578,585,589,599,605,616,620,650,652,663,667,695,707,710,
752,760,789,794,857,881,895,919,942,945,969,971,977,978,979,980,981,989,990,
993,994,995,996,1039,1047,1051,1058,1072,1083,1089,1099,1104,1117,1130,1132,
1151,1173,1175,1176,1201,1208,1221,1237,1248,1343,1353,1356,1378,1424,1515,
1563,1584,1585,1627,1642,1719,1722,1727,1757,1759,1824,1841,1855,1865,1888,
1902,1971,1996,2168,2178,2179,2185,2186,2192,2219,2294,2315,2334,2389,2408,
2413,2487,2567,2622,2691,2873,2876,2878,2881,2885,2887,2889,2896,2905,2966,
2984,3031,3203,3221,3402,3405,3410,3421,3438,3445,3523,3674,3710,3833,3984,
3997,4203],[1,2,3,4,5,6,8,9,10,12,13,14,15,16,17,19,20,22,23,24,25,26,28,30,31
,32,34,35,38,40,41,42,44,45,46,50,51,52,53,54,55,56,62,63,64,65,71,74,75,76,77
,81,87,88,92,93,100,101,103,104,105,106,107,108,109,110,121,130,131,132,135,
136,139,140,143,145,147,155,156,158,160,161,162,165,166,169,170,171,173,174,
176,177,178,179,180,186,190,195,197,199,200,201,204,205,206,216,221,228,229,
230,231,237,240,241,243,244,247,248,249,260,262,267,269,271,272,275,276,277,
280,282,286,288,289,290,336,337,340,367,379,387,388,390,391,409,415,416,417,
422,423,425,426,427,429,433,448,449,452,454,455,456,464,468,471,478,479,480,
483,485,487,489,497,500,501,502,504,505,508,511,512,521,525,526,530,531,534,
535,538,539,540,541,548,556,559,560,571,576,583,584,585,586,599,607,613,617,
621,651,653,664,668,690,702,703,704,755,760,766,786,787,788,865,866,886,889,
891,903,927,935,936,968,981,982,983,984,986,989,990,991,992,993,994,1040,1041,
1047,1049,1053,1060,1072,1074,1077,1081,1082,1083,1087,1088,1089,1111,1115,
1116,1117,1118,1122,1132,1149,1153,1154,1167,1203,1214,1215,1224,1240,1251,
1343,1352,1354,1357,1380,1433,1513,1514,1518,1526,1565,1571,1587,1593,1622,
1644,1646,1715,1725,1726,1759,1760,1826,1830,1840,1842,1852,1853,1858,1860,
1861,1864,1885,1888,1904,1970,1972,2003,2168,2178,2179,2187,2188,2193,2221,
2295,2317,2320,2321,2331,2392,2409,2412,2416,2488,2569,2625,2687,2692,2876,
2877,2880,2881,2885,2887,2889,2897,2898,2906,2967,2970,2986,3038,3201,3205,
3222,3401,3408,3411,3421,3437,3446,3525,3676,3711,3836,3986,3987,3998,4204],[1
,2,3,4,5,6,9,11,12,13,14,15,16,17,21,22,23,24,25,26,28,30,32,40,41,44,50,52,54
,55,57,64,67,68,69,70,100,101,103,104,105,106,107,108,109,110,111,112,118,130,
131,132,135,136,139,141,144,153,160,162,169,170,171,173,174,175,176,199,201,
202,204,206,207,215,218,229,232,233,234,237,243,244,247,251,331,333,334,335,
336,337,338,340,381,383,405,420,422,424,425,426,427,428,429,430,431,435,436,
437,438,500,502,507,510,522,528,529,531,532,533,539,584,587,588,593,612,613,
615,616,618,619,650,652,663,667,735,737,788,791,792,794,857,945,955,958,969,
971,977,978,979,980,981,999,1000,1002,1003,1009,1010,1011,1012,1039,1047,1051,
1058,1115,1117,1119,1130,1139,1141,1183,1188,1232,1236,1242,1258,1261,1343,
1356,1373,1378,1381,1419,1584,1585,1642,1704,1719,1737,1739,1747,1750,1763,
1764,1841,1902,1908,1910,1962,1970,1971,2178,2179,2185,2186,2192,2222,2294,
2398,2400,2413,2425,2502,2567,2614,2643,2873,2876,2878,2901,2902,2905,2911,
2915,2984,3092,3221,3402,3414,3415,3457,3536,3674,3701,3824,3997,4205],[1,2,3,
4,5,6,9,10,11,12,13,14,15,16,17,19,20,21,22,23,26,28,30,32,35,40,41,44,50,51,
52,53,54,55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,87,92,101
,106,107,108,109,110,118,130,131,132,135,136,139,141,144,153,155,160,162,168,
169,170,171,173,174,175,176,179,180,190,195,201,206,215,218,221,228,229,230,
231,232,233,234,258,261,262,263,268,269,270,271,272,275,278,279,281,283,284,
285,286,287,290,331,337,338,340,369,381,383,405,420,422,423,424,425,426,427,
428,429,430,431,433,436,438,445,449,457,476,478,484,485,500,502,507,510,521,
522,528,529,531,532,533,538,539,540,556,557,559,560,569,576,584,593,600,607,
615,619,650,652,656,660,663,667,668,737,742,757,758,759,760,761,762,767,857,
881,884,924,930,945,968,969,971,977,978,979,980,981,982,983,984,1000,1003,1006
,1007,1011,1012,1016,1017,1019,1020,1021,1022,1039,1041,1047,1051,1058,1069,
1071,1072,1078,1083,1089,1103,1122,1126,1130,1139,1146,1152,1154,1168,1209,
1213,1225,1242,1252,1343,1356,1366,1370,1374,1376,1378,1417,1515,1562,1584,
1585,1629,1642,1715,1719,1732,1735,1739,1742,1743,1775,1776,1777,1778,1840,
1841,1874,1877,1888,1889,1902,1910,1948,1955,2008,2178,2179,2185,2186,2192,
2197,2202,2216,2294,2314,2330,2387,2403,2413,2418,2491,2567,2610,2640,2873,
2876,2877,2878,2902,2905,2908,2912,2921,2922,2984,2992,3046,3208,3221,3401,
3402,3415,3433,3434,3450,3537,3674,3703,3821,3997,4008,4206],[1,2,3,4,5,6,8,9,
10,11,12,13,14,15,16,17,19,20,21,22,23,26,28,29,30,31,32,33,35,37,38,40,41,42,
44,45,46,50,51,52,53,54,55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,
80,81,87,92,101,106,107,108,109,110,121,130,131,132,135,136,139,140,143,145,
147,153,155,156,160,162,165,166,169,170,171,172,173,174,175,176,180,182,183,
184,185,186,187,188,189,192,201,206,216,218,221,228,229,230,231,232,233,234,
258,261,262,263,268,269,270,271,272,275,278,279,281,283,284,285,286,287,290,
331,337,338,340,372,379,386,387,388,391,409,420,422,423,424,425,426,427,428,
429,430,431,433,436,438,446,448,452,453,458,464,476,478,484,485,500,501,502,
504,505,508,511,512,521,522,526,528,529,531,532,533,538,539,540,549,551,552,
553,554,555,556,569,576,584,593,600,607,615,619,651,653,655,658,659,661,664,
667,668,737,742,757,758,759,760,761,762,767,865,866,885,887,889,906,923,935,
946,968,969,971,977,978,979,980,981,982,983,984,1000,1003,1006,1007,1011,1012,
1016,1017,1019,1020,1021,1022,1039,1040,1041,1047,1049,1051,1053,1060,1070,
1073,1074,1075,1076,1079,1080,1085,1086,1097,1122,1130,1134,1139,1146,1152,
1154,1168,1209,1213,1225,1242,1252,1343,1357,1367,1368,1369,1371,1375,1377,
1380,1417,1516,1518,1564,1571,1587,1588,1592,1593,1625,1644,1646,1715,1719,
1732,1735,1739,1742,1743,1775,1776,1777,1778,1840,1841,1842,1873,1878,1879,
1880,1881,1887,1904,1910,1948,1955,2008,2178,2179,2187,2188,2193,2196,2198,
2203,2204,2217,2295,2316,2319,2320,2332,2394,2406,2416,2421,2491,2569,2612,
2640,2873,2876,2877,2878,2902,2906,2909,2913,2918,2919,2920,2923,2986,2993,
3001,3040,3209,3211,3222,3401,3402,3415,3433,3434,3451,3538,3676,3704,3821,
3998,4009,4010,4207],[1,2,3,4,5,6,8,9,11,12,13,14,15,16,17,18,21,24,25,26,28,
29,30,31,32,33,35,37,38,40,41,42,44,45,46,49,50,52,54,55,57,58,59,60,61,64,66,
67,68,69,70,72,78,82,83,84,85,86,89,90,91,94,95,102,105,111,113,114,115,121,
130,131,132,135,136,139,144,145,148,152,156,157,160,162,165,166,169,170,171,
172,173,175,176,181,182,183,184,185,186,187,188,189,192,202,207,216,220,222,
223,225,226,229,232,233,235,259,274,296,297,298,300,301,302,303,304,305,306,
307,308,309,310,311,312,313,314,315,333,341,342,343,372,379,386,387,388,391,
409,421,422,424,425,426,427,429,430,431,432,435,437,450,451,459,460,469,472,
490,492,495,500,502,503,509,510,511,513,519,520,524,526,533,539,542,543,544,
545,546,549,551,552,553,554,555,573,577,587,594,601,606,614,622,651,653,655,
658,659,661,664,666,669,736,744,745,746,747,748,749,753,768,866,873,885,887,
889,906,923,935,946,967,970,972,973,974,975,976,978,981,1001,1004,1005,1008,
1009,1013,1015,1018,1023,1024,1025,1042,1043,1047,1051,1054,1055,1064,1084,
1090,1091,1092,1093,1094,1099,1100,1101,1102,1114,1121,1129,1134,1141,1157,
1158,1159,1180,1204,1205,1226,1244,1255,1343,1359,1367,1368,1369,1371,1375,
1377,1380,1416,1532,1533,1579,1580,1588,1592,1603,1604,1625,1646,1647,1714,
1717,1733,1736,1738,1744,1745,1772,1773,1774,1780,1838,1839,1844,1892,1893,
1894,1895,1897,1899,1906,1909,1949,1956,2010,2178,2179,2190,2191,2194,2199,
2200,2205,2206,2217,2302,2335,2342,2343,2344,2397,2411,2421,2423,2492,2569,
2613,2639,2874,2876,2878,2901,2907,2910,2914,2924,2925,2926,2927,2987,3005,
3006,3051,3209,3211,3222,3400,3403,3416,3432,3435,3452,3541,3680,3704,3822,
3999,4013,4014,4208],[1,2,4,5,6,8,10,11,12,13,19,23,24,27,35,40,41,42,43,44,46
,49,51,57,65,77,78,82,87,96,100,102,107,121,134,140,143,144,148,155,157,158,
160,162,163,164,188,200,205,207,217,219,239,240,257,259,263,316,390,408,409,
452,481,501,503,505,506,508,513,520,521,523,524,565,566,571,573,577,578,611,
618,620,622,654,671,689,718,865,873,916,944,951,1050,1052,1066,1079,1116,1217,
1219,1226,1228,1229,1271,1345,1389,1565,1643,1644,1647,1663,1689,1730,1832,
1833,1854,1907,1923,1959,2310,2388,2399,2480,2571,2615,2629,2630,2916,3023,
3054,3464,3547,3814,4209],[1,2,3,4,5,6,9,10,11,12,13,16,21,22,24,25,26,28,29,
33,40,45,50,51,57,66,68,73,74,82,85,86,91,99,100,101,103,113,114,118,131,135,
136,139,141,144,153,168,185,199,215,216,218,236,237,254,257,258,264,300,304,
328,329,366,382,420,421,422,423,424,430,432,435,437,438,445,447,450,459,474,
500,509,653,655,660,661,663,684,688,691,719,720,857,878,968,969,970,973,976,
999,1001,1002,1003,1006,1007,1008,1013,1014,1015,1023,1025,1038,1039,1058,1069
,1092,1115,1356,1358,1359,1360,1369,1373,1374,1390,1512,1720,1731,1732,1741,
1744,1748,1749,1750,1767,1771,1774,1811,1815,1818,1819,1846,1851,2190,2192,
2197,2199,2201,2205,2218,2294,2476,2479,2482,2508,2515,2573,2576,2596,2899,
2900,2908,2915,2927,2965,2977,3141,3226,3427,3428,3443,3458,3496,3684,3845,
3996,4019,4210],[1,2,3,4,5,6,9,11,12,13,14,15,16,17,21,22,23,24,25,26,28,30,32
,40,41,44,50,52,54,55,57,64,67,68,69,70,100,101,103,104,105,106,107,108,109,
110,111,112,118,130,131,132,135,136,139,141,144,153,160,162,169,170,171,173,
174,175,176,199,201,205,206,207,208,215,218,229,232,233,234,237,243,244,247,
251,331,333,334,335,336,337,338,340,381,383,405,415,417,420,422,424,425,426,
427,428,429,430,431,500,502,507,510,522,528,529,531,532,533,539,583,584,585,
586,589,613,616,618,619,620,621,650,652,663,667,735,737,788,791,792,794,857,
945,955,961,969,971,977,978,979,980,981,986,990,991,992,995,996,1039,1047,1051
,1058,1115,1117,1130,1137,1139,1141,1142,1183,1232,1237,1238,1239,1240,1343,
1356,1363,1378,1419,1584,1585,1642,1699,1719,1756,1757,1758,1760,1841,1902,
1908,1910,1932,1970,1971,2178,2179,2185,2186,2192,2225,2294,2398,2400,2413,
2427,2475,2567,2614,2643,2873,2876,2878,2880,2881,2905,2930,2984,3030,3221,
3402,3437,3438,3454,3536,3674,3705,3815,3997,4211],[1,2,3,4,5,6,9,10,11,12,13,
14,15,16,17,19,20,21,22,23,26,28,30,32,40,41,44,50,51,52,53,54,55,56,57,62,63,
64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,87,92,101,106,107,108,109,110,118
,130,131,132,135,136,139,141,144,153,155,158,159,160,161,162,168,169,170,171,
173,174,175,176,179,180,190,206,215,218,221,228,229,230,231,232,233,234,258,
261,262,263,268,269,270,271,272,275,278,279,281,283,284,285,286,287,290,331,
337,338,340,381,383,405,414,416,420,422,424,425,426,427,428,429,430,431,445,
449,500,502,507,510,521,522,523,525,528,529,530,531,532,533,534,535,536,537,
538,539,541,557,559,560,569,576,619,650,652,663,667,668,737,742,757,758,759,
760,761,762,767,857,915,930,945,969,971,977,978,979,980,981,987,988,989,993,
994,997,1039,1041,1046,1047,1051,1058,1068,1069,1071,1072,1078,1083,1089,1123,
1126,1130,1131,1132,1133,1139,1225,1343,1356,1361,1378,1417,1562,1584,1585,
1642,1672,1719,1752,1755,1759,1761,1840,1841,1872,1874,1877,1888,1889,1902,
1910,1948,1955,2166,2168,2178,2179,2185,2186,2192,2226,2294,2309,2387,2413,
2418,2474,2567,2610,2640,2873,2876,2878,2883,2884,2885,2887,2888,2889,2905,
2929,2984,2992,3008,3214,3221,3402,3417,3419,3421,3422,3455,3537,3674,3713,
3813,3997,4004,4212],[1,2,3,4,5,6,8,9,10,12,13,14,15,16,17,19,20,22,23,26,28,
30,32,40,41,42,43,44,45,46,50,51,52,53,54,55,56,62,63,64,65,71,73,74,75,76,77,
79,80,81,101,108,109,110,121,130,131,132,135,136,139,140,143,145,147,155,156,
158,159,160,163,164,165,166,168,169,170,171,173,179,180,208,209,216,219,221,
227,228,229,230,231,258,280,281,282,283,284,285,286,287,288,289,290,332,339,
340,384,387,391,408,409,414,416,422,423,425,426,427,429,433,445,449,500,501,
502,504,505,506,508,511,512,521,523,526,527,536,537,538,539,540,541,556,557,
574,575,581,582,623,651,653,664,665,668,734,743,763,764,765,766,767,865,866,
916,933,935,937,947,968,981,982,983,984,987,988,989,997,1040,1041,1047,1048,
1049,1050,1052,1053,1060,1066,1069,1071,1072,1078,1122,1123,1124,1125,1140,
1144,1227,1343,1357,1362,1364,1380,1414,1566,1567,1586,1587,1593,1643,1644,
1646,1676,1715,1753,1754,1755,1840,1842,1843,1870,1875,1876,1877,1904,1911,
1947,1952,1953,1954,2166,2168,2178,2179,2187,2188,2193,2227,2295,2310,2395,
2414,2415,2416,2420,2473,2569,2609,2641,2876,2877,2883,2884,2885,2888,2906,
2931,2932,2986,2994,3000,3010,3215,3217,3222,3401,3418,3419,3420,3456,3539,
3676,3714,3812,3998,4003,4005,4213],[1,2,4,5,6,9,10,11,12,13,22,24,26,28,29,31
,40,42,49,50,51,57,73,74,78,82,96,100,101,102,118,135,136,139,141,144,153,168,
172,199,215,216,218,236,237,238,257,258,259,316,366,380,420,421,422,423,424,
437,438,445,447,450,451,474,500,503,659,660,661,663,664,671,687,688,716,717,
857,877,967,968,969,970,985,1002,1003,1004,1005,1006,1007,1008,1038,1039,1058,
1069,1084,1115,1356,1358,1359,1360,1373,1374,1375,1388,1512,1720,1731,1732,
1733,1749,1750,1751,1769,1811,1813,1817,1818,1845,1851,2192,2194,2197,2199,
2200,2201,2218,2294,2472,2478,2479,2499,2500,2573,2578,2595,2899,2900,2908,
2910,2915,2965,2976,3138,3226,3426,3427,3458,3461,3493,3684,3856,3996,4017,
4214],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,19,21,22,23,24,25,26,28,29,32,35,
40,41,44,50,51,52,54,55,57,62,63,64,65,67,68,69,70,73,74,75,76,77,79,80,81,82,
89,90,91,100,101,103,104,105,108,109,110,118,130,131,132,135,136,139,141,144,
153,160,162,168,173,179,180,189,199,201,215,216,218,228,229,232,233,234,236,
237,242,243,244,245,247,257,258,264,265,266,273,274,281,283,284,285,286,287,
290,336,340,366,369,405,420,421,422,423,424,425,426,427,428,429,430,431,432,
433,435,436,437,438,445,447,449,450,457,460,474,482,483,484,500,502,507,510,
522,557,613,650,651,652,656,658,660,661,663,667,688,694,695,696,700,701,756,
767,784,788,857,918,968,969,970,971,972,973,974,975,977,978,979,980,981,982,
983,984,999,1000,1002,1003,1006,1007,1008,1009,1010,1011,1012,1016,1017,1018,
1019,1020,1021,1022,1023,1024,1038,1039,1047,1051,1058,1069,1071,1072,1078,
1090,1098,1115,1117,1202,1356,1358,1359,1360,1366,1370,1371,1373,1374,1376,
1378,1379,1381,1432,1512,1515,1642,1715,1716,1717,1718,1719,1720,1731,1732,
1734,1735,1737,1739,1740,1741,1742,1743,1746,1747,1749,1750,1763,1764,1765,
1775,1776,1777,1778,1779,1780,1810,1811,1812,1818,1824,1841,1851,1855,1856,
1857,1877,1902,1970,2185,2186,2189,2191,2192,2195,2197,2199,2201,2202,2206,
2207,2215,2216,2218,2222,2223,2224,2294,2407,2471,2477,2479,2490,2491,2493,
2494,2496,2497,2501,2502,2573,2580,2623,2688,2899,2900,2904,2905,2908,2911,
2912,2915,2921,2922,2924,2928,2938,2965,2966,2984,3129,3226,3231,3232,3425,
3427,3429,3430,3450,3453,3457,3458,3459,3460,3522,3684,3715,3828,3860,3995,
3996,4000,4215],[1,2,4,5,6,9,10,11,12,13,19,20,22,23,24,26,28,29,32,35,40,41,
44,50,51,57,65,71,73,74,75,76,77,82,87,88,100,101,107,108,118,130,132,136,139,
141,144,153,155,160,162,168,173,174,179,180,189,190,199,201,206,215,218,219,
221,236,237,239,240,241,257,258,260,261,262,263,280,281,282,331,332,346,347,
366,369,381,405,414,415,416,420,423,428,429,433,436,438,445,447,449,450,457,
474,479,482,483,484,485,500,507,521,522,528,536,556,557,559,560,569,576,586,
593,597,607,613,619,650,656,660,688,689,690,742,743,769,799,800,809,857,876,
884,918,930,971,984,986,987,994,997,1007,1011,1017,1021,1022,1039,1041,1058,
1069,1078,1083,1098,1115,1125,1126,1139,1156,1167,1168,1169,1202,1203,1225,
1243,1254,1343,1351,1356,1361,1366,1456,1512,1515,1562,1584,1617,1642,1721,
1726,1752,1753,1778,1781,1782,1818,1851,1852,1874,1875,1913,1934,1948,2009,
2166,2168,2179,2185,2197,2202,2208,2294,2311,2330,2387,2407,2418,2527,2567,
2650,2873,2877,2880,2883,2887,2888,2895,2902,2922,2929,2965,2992,3047,3199,
3208,3214,3404,3411,3417,3420,3434,3439,3447,3470,3505,3674,3687,3850,3983,
4004,4008,4216],[1,2,3,4,5,6,8,9,10,12,13,14,15,16,17,19,20,21,22,23,24,26,28,
30,31,32,33,34,37,40,41,43,44,50,52,55,56,62,63,65,68,70,71,73,74,75,76,77,79,
80,81,87,88,90,92,100,101,106,107,108,109,110,121,130,131,132,135,136,139,140,
143,145,147,155,156,158,159,160,161,162,168,169,170,171,173,174,175,176,177,
179,180,182,184,190,191,199,200,201,206,208,216,221,227,231,232,237,240,241,
243,245,246,248,260,262,266,268,270,272,275,278,279,281,282,283,285,286,287,
288,289,331,332,338,339,346,347,351,367,372,387,388,408,414,415,416,423,424,
425,429,430,431,433,436,438,445,448,449,453,454,455,456,458,475,476,477,478,
479,480,483,486,500,502,505,506,523,525,532,533,534,535,537,540,541,547,552,
556,557,560,572,574,576,586,590,593,600,602,607,613,619,651,655,659,690,699,
700,704,757,761,763,764,772,801,804,805,806,809,811,865,866,885,891,922,931,
937,978,984,986,988,989,993,994,997,1006,1011,1016,1019,1020,1040,1041,1048,
1051,1060,1071,1072,1076,1078,1081,1083,1085,1089,1095,1115,1116,1124,1133,
1139,1144,1147,1152,1155,1161,1167,1212,1214,1222,1243,1252,1343,1352,1357,
1362,1367,1461,1513,1514,1516,1566,1571,1588,1593,1619,1643,1724,1726,1754,
1761,1777,1782,1784,1826,1852,1853,1856,1859,1876,1878,1883,1889,1913,1916,
1937,1939,1954,1955,2007,2166,2168,2178,2179,2187,2198,2204,2209,2295,2319,
2322,2331,2391,2404,2414,2526,2569,2655,2661,2877,2878,2880,2884,2885,2887,
2888,2889,2897,2902,2919,2931,2967,3000,3001,3035,3201,3209,3215,3407,3411,
3418,3422,3433,3440,3447,3467,3511,3676,3688,3849,3987,4003,4010,4217],[1,2,4,
5,6,8,9,10,11,12,13,14,19,20,22,23,25,26,28,29,32,35,38,40,41,43,44,50,57,63,
65,71,73,75,76,77,81,87,89,93,103,107,108,110,121,130,132,136,139,140,143,145,
147,153,155,156,158,159,160,162,168,171,173,174,179,180,188,189,190,194,195,
201,204,205,206,208,216,218,221,227,242,246,247,248,249,261,262,263,265,267,
281,286,288,289,331,339,350,351,379,386,387,390,408,414,416,417,420,423,428,
429,433,436,438,445,446,449,452,464,468,471,477,478,484,485,497,498,500,505,
506,522,523,528,540,541,551,556,557,559,560,561,569,570,571,572,574,585,593,
595,599,607,609,615,621,651,658,661,695,698,703,742,764,773,801,802,810,865,
866,903,906,926,937,938,971,984,989,990,994,997,1007,1011,1017,1021,1022,1039,
1040,1041,1048,1060,1072,1077,1078,1079,1080,1083,1096,1117,1118,1124,1126,
1139,1144,1151,1153,1155,1168,1181,1210,1213,1223,1241,1251,1343,1354,1357,
1362,1371,1457,1518,1526,1564,1565,1566,1592,1593,1634,1643,1722,1725,1752,
1754,1778,1783,1784,1830,1855,1858,1860,1863,1873,1874,1876,1884,1914,1915,
1938,1939,1948,1954,2004,2166,2168,2179,2187,2196,2203,2212,2295,2321,2332,
2345,2390,2405,2414,2524,2569,2656,2660,2873,2877,2881,2885,2887,2888,2898,
2902,2923,2931,2970,2993,3000,3034,3205,3211,3215,3405,3408,3417,3418,3434,
3440,3448,3466,3512,3676,3693,3848,3986,4003,4009,4218],[1,2,3,4,5,6,8,9,10,12
,13,15,16,17,19,20,21,22,23,25,26,28,30,31,32,33,35,37,38,40,41,42,44,46,50,51
,52,55,56,62,65,68,70,71,73,74,75,76,77,79,80,81,87,91,92,93,101,103,106,107,
108,109,110,121,130,131,132,135,136,139,140,143,145,147,155,156,158,160,161,
162,163,168,169,170,173,174,175,176,178,179,180,182,184,187,190,192,195,201,
204,205,206,209,216,219,221,231,232,239,241,244,245,247,248,249,258,262,264,
267,268,270,272,275,278,279,280,281,282,283,284,287,288,331,332,338,339,347,
350,351,372,379,384,387,388,390,409,414,416,417,423,424,425,429,430,431,433,
436,438,445,448,449,452,453,458,464,468,471,476,478,482,485,488,497,500,501,
502,505,508,521,525,532,533,534,535,536,537,550,552,556,557,560,571,575,576,
585,591,593,597,598,599,600,603,615,621,651,655,659,697,701,702,703,743,757,
761,765,774,799,803,804,806,810,812,865,866,885,888,892,903,923,936,947,978,
984,987,988,990,993,994,997,1006,1011,1016,1019,1020,1040,1041,1050,1051,1060,
1069,1071,1075,1076,1077,1078,1082,1083,1085,1089,1097,1117,1118,1125,1133,
1139,1140,1148,1152,1153,1166,1169,1209,1211,1224,1241,1253,1343,1354,1357,
1364,1367,1460,1516,1518,1526,1565,1567,1571,1586,1588,1593,1624,1644,1723,
1725,1753,1761,1777,1781,1783,1830,1857,1858,1860,1862,1875,1878,1886,1889,
1914,1917,1934,1936,1947,1955,2002,2166,2168,2178,2179,2187,2198,2204,2210,
2295,2318,2319,2321,2323,2333,2392,2406,2420,2525,2569,2652,2659,2877,2878,
2881,2883,2884,2887,2888,2889,2898,2902,2919,2932,2970,2994,3001,3039,3205,
3209,3217,3406,3408,3420,3422,3433,3439,3448,3468,3513,3676,3689,3847,3986,
4005,4010,4219],[1,2,4,5,6,9,10,11,12,13,14,19,20,22,23,25,26,28,32,35,40,41,
44,50,57,63,65,71,73,75,76,77,81,87,89,93,103,107,108,110,118,130,132,136,139,
141,144,153,155,158,160,162,168,171,173,174,179,180,190,195,201,205,206,215,
218,221,227,242,246,247,248,249,261,262,263,265,267,281,286,288,289,331,339,
350,351,369,381,383,405,414,416,417,420,423,428,429,433,436,438,445,449,457,
460,477,478,484,485,500,507,522,523,528,540,541,556,557,559,560,569,570,571,
572,585,593,599,607,615,621,650,656,660,695,698,703,742,764,773,801,802,810,
857,881,884,924,930,945,971,984,989,990,994,997,1007,1011,1017,1021,1022,1039,
1041,1058,1072,1078,1083,1103,1117,1124,1126,1139,1151,1153,1155,1168,1210,
1213,1223,1241,1251,1343,1353,1356,1361,1366,1457,1515,1562,1563,1584,1629,
1642,1722,1725,1752,1754,1778,1783,1784,1824,1855,1858,1874,1876,1914,1939,
1948,2004,2166,2168,2179,2185,2197,2202,2211,2294,2315,2330,2393,2403,2418,
2524,2567,2660,2873,2877,2881,2885,2887,2888,2896,2902,2922,2929,2966,2992,
3045,3203,3208,3214,3405,3408,3417,3418,3434,3440,3448,3469,3510,3674,3690,
3848,3984,4004,4008,4220],[1,2,4,5,6,8,9,10,11,12,13,19,20,22,23,24,26,28,29,
31,32,34,35,38,40,41,42,44,46,50,51,57,65,71,73,74,75,76,77,82,87,88,100,101,
107,108,121,130,132,136,139,140,143,145,147,153,155,156,160,162,163,168,172,
173,174,177,178,179,180,188,189,190,197,199,200,201,206,209,216,218,219,221,
236,237,239,240,241,257,258,260,261,262,263,280,281,282,331,332,346,347,367,
379,384,386,387,388,409,414,415,416,420,423,428,429,433,436,438,445,446,448,
449,452,454,455,456,464,474,479,480,481,482,483,484,485,500,501,505,508,521,
522,528,536,551,556,557,559,560,562,569,575,576,586,592,593,597,604,607,613,
619,651,658,661,688,689,690,742,743,769,799,800,809,865,866,883,891,892,906,
927,946,947,971,984,986,987,994,997,1007,1011,1017,1021,1022,1039,1040,1041,
1050,1060,1069,1070,1078,1079,1080,1081,1082,1083,1111,1115,1116,1125,1126,
1139,1140,1156,1160,1167,1168,1169,1202,1203,1225,1243,1254,1343,1352,1357,
1364,1371,1456,1513,1514,1518,1564,1567,1571,1586,1592,1593,1639,1644,1721,
1726,1752,1753,1778,1781,1782,1826,1851,1852,1853,1854,1873,1874,1875,1882,
1912,1913,1934,1935,1947,1948,2009,2166,2168,2179,2187,2196,2203,2213,2295,
2312,2329,2331,2332,2333,2394,2409,2420,2527,2569,2650,2651,2873,2877,2880,
2883,2887,2888,2897,2902,2923,2932,2967,2993,2994,3048,3201,3211,3217,3404,
3411,3417,3420,3434,3439,3447,3471,3506,3676,3694,3850,3987,4005,4009,4221],[1
,2,3,4,6,7,9,10,12,13,14,15,16,17,19,20,21,22,23,24,26,29,31,33,35,36,39,42,44
,45,47,50,52,55,56,62,63,65,68,70,71,73,74,75,76,77,79,80,81,87,88,90,92,100,
101,106,107,108,109,110,124,130,132,136,140,146,150,156,159,163,165,166,172,
177,178,182,183,184,185,186,187,188,189,195,198,200,204,208,209,216,221,227,
231,232,237,240,241,243,245,246,248,260,262,266,268,270,272,275,278,279,281,
282,283,285,286,287,288,289,331,332,338,339,346,347,351,370,375,393,394,410,
414,415,416,420,423,428,429,433,436,438,446,448,452,453,461,463,470,480,481,
486,487,488,489,497,498,504,505,514,526,527,547,548,549,550,551,552,553,554,
555,561,562,574,575,581,582,590,591,592,595,602,603,604,609,617,623,651,658,
661,690,699,700,704,757,761,763,764,772,801,804,805,806,809,811,869,897,898,
904,928,949,971,984,986,987,994,997,1007,1011,1017,1021,1022,1040,1048,1053,
1062,1073,1076,1077,1080,1081,1085,1086,1113,1116,1134,1135,1140,1144,1160,
1161,1162,1163,1164,1165,1166,1181,1215,1216,1227,1245,1256,1344,1352,1357,
1364,1371,1461,1517,1529,1569,1581,1590,1595,1640,1645,1721,1726,1752,1753,
1778,1781,1782,1828,1853,1859,1864,1878,1881,1883,1884,1912,1916,1936,1937,
1953,1954,2011,2167,2169,2180,2187,2196,2203,2213,2296,2325,2326,2327,2347,
2396,2410,2422,2527,2570,2655,2658,2875,2879,2882,2886,2890,2891,2897,2903,
2923,2932,2969,3002,3003,3049,3204,3212,3218,3409,3412,3423,3424,3436,3442,
3449,3471,3509,3679,3696,3851,3988,4006,4011,4222],[1,2,3,4,5,6,8,9,10,12,13,
14,15,16,17,19,20,21,22,23,24,26,28,29,31,32,33,34,35,38,40,41,42,44,45,46,50,
52,55,56,62,63,65,68,70,71,73,74,75,76,77,79,80,81,87,88,90,92,100,101,106,107
,108,109,110,121,130,132,136,139,140,143,145,147,155,156,159,162,163,165,166,
172,173,174,177,178,179,180,182,183,184,185,186,187,188,189,190,195,197,199,
200,204,206,208,209,215,221,227,231,232,237,240,241,243,245,246,248,260,262,
266,268,270,272,275,278,279,281,282,283,285,286,287,288,289,331,332,338,339,
346,347,351,367,379,384,386,387,388,409,414,415,416,420,423,428,429,433,436,
438,445,448,449,453,454,455,456,471,479,480,481,483,486,487,488,489,497,498,
500,502,505,511,526,527,547,548,549,550,551,552,553,554,555,556,560,561,562,
574,575,576,581,582,586,590,591,592,595,602,603,604,607,609,617,623,650,656,
660,690,699,700,704,757,761,763,764,772,801,804,805,806,809,811,865,866,883,
891,892,906,927,946,947,971,984,986,987,994,997,1007,1011,1017,1021,1022,1040,
1041,1048,1051,1060,1071,1072,1076,1078,1081,1083,1085,1087,1089,1115,1116,
1134,1135,1139,1144,1160,1161,1162,1163,1164,1165,1166,1167,1181,1215,1216,
1227,1245,1256,1344,1351,1356,1361,1366,1461,1513,1514,1526,1566,1567,1571,
1588,1592,1593,1639,1646,1721,1726,1752,1753,1778,1781,1782,1826,1852,1853,
1856,1859,1876,1878,1883,1889,1913,1916,1937,1939,1954,1955,2011,2167,2169,
2180,2185,2197,2202,2208,2295,2322,2323,2329,2331,2345,2395,2412,2421,2527,
2568,2655,2661,2875,2879,2882,2886,2890,2891,2895,2903,2922,2929,2967,3000,
3001,3050,3200,3210,3216,3409,3412,3423,3424,3436,3442,3449,3470,3511,3675,
3692,3851,3985,4007,4012,4223],[1,2,3,4,5,6,9,10,12,13,15,16,17,19,20,21,22,23
,25,26,28,29,31,32,33,35,40,41,42,44,45,50,51,52,55,56,62,65,68,70,71,73,74,75
,76,77,79,80,81,87,91,92,93,101,103,106,107,108,109,110,118,130,132,136,139,
140,155,162,163,166,168,172,173,174,177,178,179,182,183,185,189,190,201,204,
206,208,219,221,231,232,239,241,244,245,247,248,249,258,262,264,267,268,270,
272,275,278,279,280,281,282,283,284,287,288,331,332,338,339,347,350,351,366,
369,380,381,382,383,405,414,416,429,436,438,445,446,448,449,452,453,482,485,
488,489,500,501,502,504,505,536,554,560,562,576,581,593,595,597,602,697,701,
702,703,743,757,761,765,774,799,803,804,806,810,812,848,849,852,876,877,878,
880,882,884,894,895,918,929,930,942,943,958,961,987,994,1011,1041,1050,1051,
1053,1069,1070,1071,1073,1078,1080,1081,1082,1083,1085,1086,1089,1117,1118,
1139,1144,1165,1169,1343,1344,1460,1535,1536,1539,1540,1541,1542,1607,1608,
1617,1618,1626,1632,1680,1691,1694,1708,1709,1781,1857,1858,1861,1862,1875,
1881,1882,1889,1914,1915,1934,1937,1952,1955,2166,2167,2168,2169,2179,2180,
2376,2378,2379,2380,2428,2432,2433,2654,2659,2883,2886,2887,2891,2902,2903,
3108,3193,3439,3442,3665,3666,3681,3989,3990,4018,4224],[1,2,4,5,6,9,11,12,13,
14,19,23,25,26,32,35,40,50,57,63,75,81,89,103,110,112,117,118,132,135,136,139,
141,144,153,180,201,215,216,218,242,247,252,265,286,355,369,417,420,421,422,
424,426,433,435,436,449,457,460,484,500,656,658,663,695,727,779,852,857,969,
970,982,996,999,1000,1020,1022,1024,1026,1038,1039,1058,1072,1117,1356,1358,
1359,1360,1376,1381,1453,1515,1720,1728,1740,1742,1746,1747,1789,1812,1824,
1855,2192,2202,2206,2207,2215,2294,2477,2516,2519,2573,2585,2899,2900,2911,
2912,2966,3143,3232,3429,3460,3518,3684,4000,4225],[1,2,4,5,6,9,10,11,12,13,14
,19,20,22,23,25,26,28,29,32,35,40,44,50,57,63,65,71,73,75,76,77,81,87,89,93,
103,107,108,110,118,130,132,136,139,140,153,155,156,159,173,174,180,188,189,
195,201,204,206,208,218,221,227,242,246,247,248,249,261,262,263,265,267,281,
286,288,289,331,339,350,351,366,369,405,420,423,428,429,433,436,438,445,446,
449,452,484,485,497,498,500,505,528,551,556,561,569,574,593,595,607,609,695,
698,703,742,764,773,801,802,810,848,849,852,911,915,918,919,924,958,961,971,
984,1007,1011,1017,1021,1022,1039,1040,1041,1048,1072,1077,1078,1079,1080,1083
,1117,1118,1139,1144,1168,1181,1343,1344,1457,1552,1554,1606,1607,1608,1609,
1678,1680,1682,1684,1685,1778,1855,1858,1860,1863,1873,1874,1876,1884,1914,
1915,1938,1939,1948,1954,2179,2180,2304,2305,2428,2429,2430,2438,2439,2656,
2660,2873,2875,2877,2879,2902,2903,3106,3193,3434,3436,3681,3981,3982,4018,
4226],[1,2,3,4,5,6,9,11,12,13,14,15,16,17,21,24,25,26,31,33,40,41,42,44,45,49,
50,52,54,55,57,64,66,67,68,69,70,78,82,85,86,89,90,91,102,105,113,114,118,130,
131,132,135,136,139,141,144,153,160,162,165,184,215,216,218,220,229,232,233,
234,238,254,255,259,274,300,301,302,303,304,305,343,380,382,405,420,421,422,
424,425,426,427,428,429,430,431,432,435,437,451,459,500,502,503,507,509,510,
522,650,651,652,653,655,659,663,664,667,687,691,692,693,768,796,857,939,967,
969,970,971,972,973,974,975,976,977,978,979,980,981,1001,1004,1005,1008,1009,
1013,1015,1018,1023,1024,1025,1038,1039,1047,1051,1055,1058,1093,1356,1358,
1359,1360,1367,1378,1379,1380,1427,1642,1714,1716,1717,1718,1719,1720,1733,
1736,1738,1744,1745,1748,1751,1766,1772,1773,1774,1780,1810,1813,1815,1817,
1819,1841,1845,1846,1902,2185,2186,2189,2190,2191,2192,2194,2195,2200,2205,
2294,2471,2476,2478,2492,2495,2498,2503,2573,2586,2617,2715,2899,2900,2904,
2905,2907,2925,2976,2977,2984,3128,3231,3425,3426,3428,3430,3443,3461,3533,
3684,3827,3858,3995,4017,4019,4227],[1,2,3,4,5,6,9,11,12,13,14,17,19,21,23,24,
25,26,31,32,33,35,40,42,45,49,50,57,63,66,69,75,78,81,82,86,89,90,91,99,102,
103,104,110,113,114,118,131,132,135,136,139,141,144,153,180,186,187,201,215,
216,218,238,242,247,254,259,265,273,286,300,303,305,326,329,330,369,380,382,
420,421,422,424,426,431,432,433,435,436,437,449,451,457,459,460,484,500,503,
509,653,655,656,658,659,663,664,685,687,691,695,721,723,724,857,879,967,969,
970,974,976,982,999,1000,1001,1004,1005,1008,1010,1013,1014,1018,1020,1022,
1023,1024,1025,1038,1039,1058,1072,1091,1094,1117,1356,1358,1359,1360,1368,
1376,1377,1381,1395,1515,1720,1733,1740,1742,1744,1745,1746,1747,1748,1751,
1768,1770,1771,1773,1779,1812,1813,1815,1817,1819,1824,1845,1846,1855,2190,
2192,2194,2200,2202,2205,2206,2207,2215,2294,2476,2477,2478,2483,2509,2513,
2514,2573,2584,2597,2598,2899,2900,2911,2912,2914,2926,2966,2976,2977,3142,
3232,3426,3428,3429,3443,3460,3461,3497,3684,3846,3862,4000,4017,4019,4228],[1
,2,3,4,5,6,9,10,12,13,14,15,16,17,19,22,23,24,25,26,28,29,31,32,33,35,40,41,42
,44,45,50,51,52,54,55,62,63,64,65,73,74,75,76,77,79,80,81,100,101,103,104,105,
106,107,108,109,110,118,130,132,136,139,140,160,165,168,172,173,179,180,184,
185,186,187,189,199,200,201,204,206,208,209,228,229,237,240,243,244,247,249,
258,281,283,284,285,286,287,290,331,332,336,337,338,339,340,346,347,350,351,
366,369,380,381,382,383,405,414,415,416,429,436,438,445,446,448,449,452,453,
500,501,502,504,505,549,557,586,590,591,592,593,595,613,617,619,623,734,737,
740,741,767,787,788,809,810,811,812,848,849,852,876,877,878,879,880,881,918,
939,945,954,955,958,961,986,997,1011,1047,1049,1069,1070,1071,1072,1073,1074,
1075,1076,1078,1080,1115,1116,1117,1118,1139,1140,1144,1243,1245,1343,1344,
1492,1535,1536,1537,1538,1607,1608,1613,1614,1628,1630,1680,1699,1702,1703,
1704,1782,1877,1887,1910,1911,1912,1913,1914,1915,1916,1917,1970,1972,2166,
2167,2168,2169,2179,2180,2358,2362,2364,2384,2428,2435,2436,2670,2671,2880,
2882,2888,2890,2902,2903,3105,3193,3447,3449,3665,3666,3681,3991,3994,4018,
4229],[1,2,3,4,5,6,9,11,12,13,14,15,16,17,21,22,23,24,25,26,40,41,44,50,52,54,
55,57,64,67,68,69,70,100,101,103,104,105,106,107,108,109,110,111,112,118,130,
131,132,135,136,139,141,144,153,160,162,199,201,206,207,215,216,218,229,232,
233,234,237,243,244,247,251,331,333,334,335,336,337,338,340,405,414,415,416,
417,420,421,422,424,425,426,427,428,429,430,431,432,500,502,507,510,522,613,
616,618,619,650,651,652,663,667,735,737,788,791,792,794,857,955,969,970,971,
972,973,974,975,977,978,979,980,981,986,987,988,989,990,991,992,993,994,995,
996,997,1038,1039,1047,1051,1058,1115,1117,1139,1141,1183,1232,1351,1353,1356,
1358,1359,1360,1361,1363,1378,1379,1419,1642,1716,1717,1718,1719,1720,1721,
1722,1723,1724,1727,1752,1755,1756,1757,1758,1759,1760,1761,1810,1841,1902,
1908,1910,1970,1971,2185,2186,2189,2191,2192,2195,2219,2220,2225,2226,2294,
2398,2400,2471,2474,2475,2485,2486,2487,2489,2573,2588,2614,2643,2895,2896,
2899,2900,2904,2905,2917,2929,2930,2939,2984,3127,3231,3425,3430,3444,3445,
3454,3455,3536,3684,3716,3717,3826,3859,3995,4230],[1,2,4,5,6,9,10,11,12,13,19
,20,22,23,24,26,28,29,32,35,40,41,44,50,51,57,65,71,73,74,75,76,77,82,87,88,
100,101,107,108,118,130,132,136,139,141,153,155,156,157,159,160,162,168,173,
174,179,180,188,189,190,195,199,201,204,206,207,208,215,218,219,221,236,237,
239,240,241,257,258,260,261,262,263,280,281,282,331,332,346,347,366,369,381,
383,405,414,415,416,420,423,428,429,433,436,438,445,447,449,457,474,479,482,
483,484,485,494,497,498,500,507,521,522,524,528,536,551,556,557,559,560,561,
569,574,576,577,586,593,595,597,607,608,609,613,616,618,619,650,652,656,660,
663,688,689,690,742,743,769,799,800,809,857,876,880,881,884,895,911,915,918,
919,924,930,942,945,955,958,961,971,984,986,987,994,997,1007,1011,1017,1021,
1022,1039,1041,1045,1067,1069,1078,1083,1098,1104,1115,1125,1126,1139,1156,
1167,1168,1169,1181,1183,1185,1191,1192,1202,1203,1206,1207,1208,1217,1225,
1231,1232,1243,1246,1254,1263,1264,1343,1351,1353,1360,1361,1363,1366,1370,
1373,1374,1376,1378,1379,1381,1456,1512,1515,1552,1554,1562,1584,1613,1617,
1626,1627,1628,1629,1642,1648,1654,1658,1665,1669,1672,1678,1680,1682,1684,
1685,1691,1699,1704,1708,1721,1726,1752,1753,1778,1781,1782,1851,1852,1874,
1875,1891,1913,1925,1934,1944,1948,1981,1988,2009,2017,2036,2044,2052,2166,
2168,2179,2195,2208,2211,2215,2216,2218,2219,2220,2222,2223,2224,2225,2226,
2307,2311,2330,2352,2354,2370,2373,2387,2398,2400,2407,2408,2418,2430,2433,
2436,2444,2446,2447,2465,2527,2567,2650,2681,2873,2877,2880,2883,2887,2888,
2902,2917,2933,2934,2935,2937,2938,2939,2990,3047,3053,3056,3061,3064,3070,
3103,3199,3203,3208,3214,3221,3404,3411,3417,3420,3434,3439,3447,3472,3571,
3685,3687,3690,3701,3703,3705,3707,3710,3713,3850,4001,4020,4023,4025,4027,
4030,4032,4231],[1,2,3,4,5,6,8,9,10,12,13,14,15,16,17,19,20,21,22,23,24,26,28,
29,30,31,32,33,34,35,37,38,40,41,42,43,44,45,46,50,52,55,56,62,63,65,68,70,71,
73,74,75,76,77,79,80,81,87,88,90,92,100,101,106,107,108,109,110,121,130,132,
136,140,143,153,154,155,156,158,159,160,161,162,163,164,165,166,168,169,170,
171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,
190,191,192,193,194,195,197,199,200,201,203,204,205,206,207,208,209,210,215,
221,227,231,232,237,240,241,243,245,246,248,260,262,266,268,270,272,275,278,
279,281,282,283,285,286,287,288,289,331,332,338,339,346,347,351,367,372,379,
384,386,387,388,390,391,408,409,414,415,416,420,423,428,429,433,436,438,448,
453,454,458,474,475,476,477,478,479,480,481,482,483,484,486,487,488,489,491,
496,497,498,499,505,506,522,523,525,526,527,529,532,533,534,535,537,540,541,
544,546,547,548,549,550,551,552,553,554,555,556,557,558,560,561,562,564,570,
572,574,575,576,578,579,580,581,582,583,586,589,590,591,592,593,595,596,598,
600,602,603,604,605,606,607,609,610,613,615,616,617,618,619,620,623,650,652,
656,660,663,690,699,700,704,757,761,763,764,772,801,804,805,806,809,811,865,
883,885,886,887,888,889,891,892,903,905,906,914,916,921,922,923,926,927,931,
933,935,936,937,938,940,944,946,947,951,953,960,962,971,984,986,987,994,997,
1007,1011,1017,1021,1022,1040,1044,1048,1068,1076,1081,1085,1095,1105,1116,
1124,1127,1133,1134,1135,1144,1145,1147,1152,1155,1160,1161,1162,1163,1164,
1165,1166,1167,1170,1172,1175,1181,1182,1183,1184,1189,1191,1192,1195,1198,
1199,1201,1202,1211,1212,1213,1214,1215,1216,1218,1221,1222,1227,1229,1230,
1232,1238,1243,1245,1247,1250,1252,1256,1258,1259,1262,1264,1344,1351,1353,
1360,1361,1363,1366,1370,1373,1374,1376,1378,1379,1381,1461,1513,1516,1553,
1555,1571,1593,1615,1619,1620,1621,1622,1624,1625,1634,1636,1637,1638,1639,
1643,1649,1650,1651,1656,1660,1662,1663,1664,1670,1673,1675,1676,1679,1681,
1683,1687,1688,1690,1692,1700,1701,1705,1706,1710,1711,1721,1726,1752,1753,
1778,1781,1782,1853,1859,1878,1883,1896,1916,1924,1937,1943,1946,1954,1978,
1979,1986,1999,2007,2011,2014,2033,2035,2042,2043,2051,2052,2167,2169,2180,
2195,2208,2211,2215,2216,2218,2219,2220,2222,2223,2224,2225,2226,2308,2319,
2331,2356,2357,2371,2372,2391,2399,2401,2402,2404,2414,2431,2434,2437,2442,
2443,2448,2449,2450,2454,2463,2464,2527,2568,2655,2683,2875,2879,2882,2886,
2890,2891,2903,2917,2933,2934,2935,2937,2938,2939,2988,3035,3055,3057,3060,
3063,3068,3104,3200,3202,3210,3216,3220,3409,3412,3423,3424,3436,3442,3449,
3472,3574,3686,3691,3692,3700,3702,3706,3708,3709,3712,3851,4002,4021,4024,
4026,4028,4029,4031,4232],[1,2,3,4,5,6,8,9,15,16,17,19,20,23,24,25,26,28,30,31
,32,34,35,38,41,42,44,45,46,52,56,75,88,92,93,96,97,98,99,105,106,111,116,117,
121,130,131,135,139,145,156,161,165,166,169,176,177,178,179,186,190,195,197,
200,202,204,207,216,253,275,277,333,344,345,349,353,357,358,359,360,361,367,
379,387,388,390,391,409,416,425,435,437,449,455,471,480,487,489,493,497,502,
511,526,534,548,565,566,567,568,579,587,608,611,617,624,625,626,651,653,664,
733,807,839,840,842,843,844,866,886,889,891,903,927,935,936,985,993,1009,1014,
1026,1087,1089,1136,1141,1171,1215,1275,1276,1277,1278,1279,1282,1283,1285,
1286,1288,1343,1352,1354,1380,1508,1514,1526,1622,1646,1689,1729,1785,1787,
1901,1940,2019,2020,2021,2045,2070,2074,2075,2168,2178,2221,2228,2412,2455,
2466,2467,2529,2569,2731,2739,2740,2741,2889,2901,2940,3107,3114,3201,3205,
3222,3413,3441,3462,3473,3582,3711,3857,4033,4233],[1,2,4,5,6,7,8,9,10,12,13,
19,22,23,28,29,32,35,38,39,40,44,48,50,65,73,75,76,77,108,118,121,124,125,126,
140,141,142,143,145,146,153,155,156,159,173,174,180,188,189,195,201,204,206,
208,214,281,366,369,375,376,377,379,386,387,393,405,439,440,441,442,443,446,
447,452,457,464,467,470,471,484,485,497,498,505,507,528,551,556,561,569,574,
593,595,607,609,631,861,862,864,865,867,869,870,871,904,906,911,915,918,919,
924,958,961,1033,1036,1037,1080,1098,1168,1181,1297,1307,1319,1382,1383,1384,
1385,1386,1518,1522,1523,1524,1527,1529,1530,1531,1552,1554,1564,1569,1577,
1578,1593,1595,1601,1602,1678,1680,1682,1684,1685,2106,2109,2131,2229,2238,
2239,2332,2346,2347,2349,2430,2547,2590,2772,2775,2800,2802,2812,2813,3186,
3241,3337,3338,3478,3479,3873,3874,4042,4234],[1,2,3,4,6,8,11,15,21,34,37,42,
43,44,45,48,49,66,67,120,128,144,165,191,212,213,214,220,385,392,407,411,412,
413,439,503,509,510,638,646,934,964,1027,1028,1033,1055,1324,1325,1326,1335,
1806,2161,2164,2549,3191,3477,3869,4039,4235],[1,2,5,6,7,8,9,10,22,26,28,29,40
,44,73,118,120,121,122,123,124,125,126,130,139,140,141,143,145,146,153,155,156
,159,206,208,215,216,366,381,386,387,393,405,445,446,569,574,629,630,631,632,
650,651,848,857,865,866,867,868,869,870,871,911,915,961,1038,1294,1297,1317,
1319,1343,1344,1562,1564,1566,1569,1678,1790,1810,2097,2099,2103,2109,2535,
2567,2568,2569,2570,2811,2812,3171,3193,3490,3491,3878,3879,4236],[1,2,3,4,5,9
,11,15,16,18,21,26,28,30,41,48,49,52,60,66,67,72,130,131,135,139,157,169,181,
214,220,222,235,421,425,432,442,502,520,542,543,643,666,847,967,972,976,1037,
1042,1121,1335,1343,1511,1714,1799,1838,2164,2178,2553,2872,2874,2964,3190,
3303,3400,3492,3658,4237],[1,2,3,4,6,11,15,21,23,24,25,26,31,33,44,48,67,78,85
,86,105,106,117,130,131,135,144,184,204,209,214,216,301,349,353,416,421,425,
432,435,437,439,451,459,510,591,649,651,655,659,846,847,972,993,1005,1009,1015
,1025,1026,1033,1093,1354,1359,1364,1367,1511,1772,1785,1787,1807,2084,2191,
2200,2205,2210,2293,2531,2548,2750,2925,3187,3305,3663,3752,4048,4238],[1,2,3,
4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,28,29,32,35,40,41,44
,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,73,74,75,76,77
,79,80,81,82,87,89,90,91,92,94,95,100,101,103,104,105,106,107,108,109,110,111,
112,118,120,121,139,141,144,145,148,152,153,155,156,157,160,162,168,173,174,
179,180,188,189,190,199,201,206,207,218,221,222,223,224,225,226,228,229,230,
231,232,233,234,236,237,242,243,244,245,247,250,251,257,258,261,262,263,264,
265,266,268,269,270,271,272,273,274,275,278,279,281,283,284,285,286,287,290,
291,292,293,294,295,296,297,298,299,331,333,334,335,336,337,338,340,366,369,
381,386,405,445,447,449,450,457,460,474,482,483,484,494,500,502,507,510,521,
522,524,528,551,557,559,560,569,576,577,613,616,618,619,629,667,668,669,670,
688,694,695,696,700,701,707,708,709,710,711,735,737,742,750,751,752,753,754,
756,757,758,759,760,761,762,767,784,788,789,791,792,793,794,857,866,867,868,
873,911,918,919,930,955,1039,1041,1042,1043,1045,1047,1051,1058,1059,1064,1065
,1067,1069,1071,1072,1078,1083,1089,1090,1098,1099,1104,1115,1117,1126,1139,
1141,1183,1202,1206,1207,1208,1217,1225,1231,1232,1294,1387,1415,1417,1418,
1419,1422,1423,1424,1425,1426,1432,1512,1515,1552,1562,1577,1579,1584,1592,
1642,1658,1818,1824,1840,1841,1844,1851,1855,1856,1857,1865,1874,1877,1888,
1889,1891,1897,1902,1908,1910,1925,1944,1948,1955,1956,1970,1971,2103,2242,
2294,2300,2301,2302,2307,2350,2387,2398,2400,2407,2408,2418,2594,2606,2607,
2610,2614,2622,2623,2638,2640,2642,2643,2688,2689,2690,2691,2770,2783,2965,
2966,2984,2990,2992,3004,3005,3012,3053,3070,3245,3250,3252,3308,3502,3503,
3521,3522,3523,3536,3537,3757,3777,3891,3893,3923,4051,4239],[1,2,3,4,6,7,8,9,
11,12,13,14,15,16,17,18,21,24,25,31,33,36,39,44,46,47,49,50,52,54,55,57,58,59,
60,61,64,66,67,68,69,70,72,78,82,83,84,85,86,89,90,91,94,95,102,105,111,113,
114,115,120,127,141,144,145,148,149,150,152,156,167,182,184,196,198,218,220,
222,223,224,225,226,229,232,233,234,235,238,254,255,256,259,274,296,297,298,
300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,333,341,342,
343,389,404,451,459,462,463,465,466,507,510,511,513,515,516,517,518,519,552,
563,635,666,667,669,670,687,691,692,693,712,713,714,715,736,744,745,746,747,
748,749,753,768,796,797,798,868,875,1043,1045,1056,1057,1058,1059,1061,1064,
1065,1093,1102,1106,1107,1108,1109,1110,1112,1331,1387,1416,1420,1427,1428,
1429,1430,1589,1605,1817,1819,1822,1823,1847,1850,1892,1900,1902,1905,1906,
2241,2301,2303,2606,2607,2608,2617,2618,2620,2621,2978,2981,3244,3246,3272,
3503,3504,3915,3916,4052,4240],[1,2,3,4,5,6,8,9,10,11,12,13,16,19,20,21,22,23,
24,25,28,29,30,32,33,37,40,41,44,45,50,51,57,65,66,68,71,73,74,75,76,77,79,82,
85,86,87,88,91,92,99,100,101,103,107,108,113,114,116,118,120,121,139,141,144,
145,148,153,155,156,157,158,159,160,161,162,168,173,174,175,181,185,199,201,
202,205,206,207,208,218,219,221,236,237,239,240,241,249,254,257,258,260,261,
262,263,264,268,280,281,282,300,304,328,329,331,332,346,347,352,361,363,366,
372,381,382,383,386,387,391,392,405,445,447,449,450,459,469,474,476,479,490,
491,495,500,507,509,521,522,523,524,525,528,536,542,544,569,570,571,572,574,
576,577,578,579,586,594,597,601,612,614,616,618,619,620,621,624,625,629,684,
688,689,690,691,697,718,719,720,722,742,743,769,778,799,800,809,814,828,849,
857,866,867,868,873,876,878,887,911,915,930,942,945,955,961,1039,1041,1045,
1046,1058,1059,1066,1067,1068,1069,1078,1083,1092,1115,1137,1138,1139,1142,
1156,1158,1185,1187,1190,1196,1199,1204,1217,1218,1219,1220,1221,1222,1223,
1224,1225,1228,1229,1230,1231,1232,1234,1235,1268,1270,1273,1281,1286,1294,
1300,1317,1390,1394,1436,1446,1449,1456,1463,1512,1532,1538,1562,1563,1566,
1577,1579,1584,1602,1604,1642,1658,1665,1669,1672,1678,1699,1708,1818,1819,
1825,1846,1851,1852,1874,1875,1913,1920,1921,1923,1924,1925,1926,1927,1934,
1948,1950,1966,1973,1990,1991,2018,2022,2023,2026,2037,2038,2053,2054,2090,
2103,2136,2147,2257,2294,2300,2301,2307,2309,2311,2343,2350,2387,2389,2393,
2398,2427,2465,2596,2650,2679,2680,2694,2695,2710,2712,2713,2783,2811,2834,
2845,2965,2977,2982,2992,2995,3012,3014,3015,3018,3052,3053,3073,3076,3083,
3093,3294,3308,3378,3496,3505,3517,3562,3579,3757,3773,3780,3899,4053,4057,
4058,4241],[1,2,4,5,6,8,9,10,11,12,13,19,20,22,23,24,28,29,31,32,40,41,42,44,
46,49,50,51,57,65,71,73,74,75,76,77,78,82,87,88,96,100,101,102,107,108,116,118
,120,121,139,141,144,145,148,153,155,156,157,158,159,160,161,162,168,172,173,
174,199,205,206,207,208,218,219,221,236,237,238,239,240,241,257,258,259,260,
261,262,263,280,281,282,316,331,332,346,347,352,358,362,366,380,381,383,386,
387,388,389,405,409,445,447,449,450,451,474,479,500,503,507,513,520,521,522,
523,524,525,528,536,569,570,571,572,573,574,576,577,578,579,586,597,611,618,
619,620,621,622,626,629,671,687,688,689,690,716,717,718,742,743,769,778,799,
800,809,813,821,849,857,866,867,868,873,876,877,911,915,930,942,945,946,955,
961,1039,1041,1045,1046,1058,1059,1066,1067,1068,1069,1078,1083,1084,1115,1137
,1138,1139,1142,1156,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1228,
1229,1230,1231,1232,1233,1234,1235,1271,1272,1279,1287,1294,1317,1318,1388,
1389,1435,1446,1447,1456,1462,1512,1539,1562,1563,1566,1577,1579,1580,1584,
1602,1642,1647,1658,1665,1669,1672,1678,1699,1708,1817,1818,1845,1847,1851,
1852,1874,1875,1907,1913,1920,1921,1922,1923,1924,1925,1934,1948,1950,1957,
1958,1959,1969,2018,2022,2023,2026,2040,2057,2098,2103,2136,2139,2256,2294,
2300,2301,2307,2309,2311,2350,2387,2389,2393,2397,2398,2427,2465,2595,2615,
2616,2650,2676,2700,2701,2705,2710,2783,2811,2840,2845,2965,2976,2978,2992,
2995,3011,3012,3014,3015,3052,3053,3073,3076,3082,3083,3297,3308,3378,3493,
3505,3517,3579,3580,3757,3773,3776,3894,4053,4059,4062,4242],[1,2,3,4,5,6,8,9,
10,11,12,13,14,15,16,17,19,21,22,23,24,25,28,29,30,31,32,33,35,37,38,40,41,42,
44,45,46,49,50,51,52,54,55,57,62,63,64,65,66,67,68,69,70,73,74,75,76,77,78,79,
80,81,82,85,86,89,90,91,96,99,100,101,102,103,104,105,108,109,110,113,114,118,
120,121,139,141,144,145,148,153,155,156,157,160,162,165,168,169,170,171,172,
173,174,175,176,179,180,181,184,185,186,187,189,192,195,199,201,202,204,206,
207,218,220,228,229,232,233,234,236,237,238,242,243,244,245,247,254,255,257,
258,259,264,265,266,273,274,281,283,284,285,286,287,290,300,301,302,303,304,
305,316,326,327,328,329,330,336,340,343,344,366,369,372,378,379,380,381,382,
383,386,387,388,389,391,392,405,409,445,447,449,450,451,457,459,460,469,471,
472,474,476,478,482,483,484,485,490,492,495,497,500,502,503,507,509,510,513,
520,521,522,524,528,529,531,532,533,538,539,540,542,543,544,545,546,549,556,
557,569,573,576,577,584,587,588,593,594,600,601,606,607,611,612,613,614,615,
618,619,622,624,629,667,671,684,685,686,687,688,691,692,693,694,695,696,700,
701,716,717,719,720,721,723,724,756,767,768,784,788,796,829,857,866,867,868,
873,877,878,879,881,884,885,887,889,890,906,911,918,923,924,930,935,939,942,
945,946,955,958,1039,1045,1047,1051,1055,1058,1059,1067,1069,1071,1072,1078,
1084,1090,1091,1092,1093,1094,1098,1103,1114,1115,1117,1119,1121,1122,1127,
1128,1129,1130,1136,1146,1152,1154,1157,1158,1159,1168,1179,1180,1186,1188,
1190,1196,1197,1202,1204,1205,1209,1213,1217,1225,1226,1231,1232,1233,1236,
1242,1244,1247,1252,1255,1258,1259,1261,1265,1267,1268,1269,1271,1273,1274,
1294,1300,1305,1317,1318,1388,1390,1391,1392,1393,1395,1408,1427,1432,1487,
1489,1512,1515,1526,1527,1528,1532,1533,1562,1577,1579,1580,1584,1585,1602,
1603,1604,1625,1629,1630,1642,1647,1654,1658,1669,1685,1691,1704,1817,1818,
1819,1824,1825,1829,1841,1845,1846,1847,1851,1855,1856,1857,1867,1871,1877,
1899,1902,1907,1922,1925,1926,1928,1957,1958,1961,1962,1965,1966,1967,1970,
1975,1978,1980,1982,1984,1989,1991,1992,1993,2008,2010,2039,2053,2055,2056,
2059,2090,2103,2128,2130,2138,2139,2246,2294,2300,2301,2307,2314,2330,2335,
2342,2343,2344,2346,2350,2387,2397,2398,2403,2407,2411,2413,2417,2423,2425,
2446,2595,2596,2597,2598,2605,2616,2617,2623,2626,2628,2666,2667,2685,2686,
2688,2694,2696,2697,2699,2715,2783,2789,2799,2845,2965,2966,2971,2972,2976,
2977,2978,2982,2984,3007,3011,3012,3018,3019,3021,3046,3051,3053,3065,3079,
3082,3089,3092,3093,3257,3279,3308,3371,3493,3496,3497,3501,3522,3530,3531,
3533,3555,3562,3563,3570,3575,3580,3757,3759,3761,3776,3780,3903,3929,4058,
4060,4062,4067,4071,4243],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,19,21,22,23
,24,25,28,29,30,32,35,38,40,41,44,50,51,52,54,55,57,62,63,64,65,67,68,69,70,73
,74,75,76,77,79,80,81,82,89,90,91,100,101,103,104,105,106,107,108,109,110,116,
118,120,121,139,141,144,145,148,153,155,156,157,160,162,168,169,170,171,173,
174,175,176,179,180,181,189,195,199,201,202,204,205,206,207,218,228,229,232,
233,234,236,237,239,242,243,244,245,246,247,257,258,264,265,266,273,274,281,
283,284,285,286,287,290,336,337,340,352,356,357,366,369,378,379,381,383,386,
387,405,445,447,449,450,457,460,471,472,474,476,478,482,483,484,485,490,492,
497,500,502,507,510,521,522,524,528,529,531,532,533,538,539,540,543,544,545,
546,556,557,569,576,577,584,585,587,588,589,593,600,606,607,612,613,615,616,
618,619,620,625,626,629,667,688,694,695,696,700,701,718,722,756,767,778,783,
784,785,788,835,849,857,866,867,868,873,881,884,906,911,918,924,930,942,945,
955,958,1039,1045,1047,1051,1058,1059,1067,1069,1071,1072,1078,1090,1098,1103,
1115,1117,1119,1122,1127,1128,1129,1130,1146,1152,1154,1168,1179,1180,1185,
1186,1188,1196,1197,1202,1209,1213,1217,1225,1228,1231,1232,1236,1237,1242,
1247,1252,1258,1259,1261,1262,1270,1272,1283,1284,1294,1305,1317,1432,1446,
1448,1471,1488,1512,1515,1526,1527,1528,1533,1562,1577,1579,1584,1585,1602,
1603,1609,1629,1642,1654,1658,1669,1685,1691,1704,1818,1824,1829,1841,1851,
1855,1856,1857,1867,1871,1877,1902,1925,1928,1959,1960,1961,1962,1969,1970,
1973,1975,1978,1982,1984,1990,1993,2008,2054,2061,2066,2098,2103,2128,2147,
2268,2294,2300,2301,2307,2314,2330,2335,2346,2350,2387,2398,2403,2407,2413,
2417,2425,2446,2623,2667,2674,2679,2688,2698,2700,2704,2707,2783,2799,2845,
2851,2965,2966,2971,2972,2984,3007,3012,3019,3021,3046,3053,3065,3079,3089,
3092,3296,3308,3371,3517,3522,3531,3555,3757,3759,3761,3913,4057,4059,4060,
4244],[1,2,3,4,5,6,8,9,11,12,13,14,15,16,17,18,21,24,25,31,33,40,41,42,44,45,
46,49,50,52,54,55,57,58,59,60,61,64,66,67,68,69,70,72,78,82,83,84,85,86,89,90,
91,94,95,102,105,111,113,114,115,118,120,121,139,141,144,145,148,152,153,156,
157,160,162,165,166,182,184,207,218,220,222,223,224,225,226,229,232,233,234,
235,238,254,255,256,259,274,296,297,298,300,301,302,303,304,305,306,307,308,
309,310,311,312,313,314,315,333,341,342,343,380,382,388,389,405,409,451,459,
500,502,503,507,509,510,511,513,519,520,522,524,526,552,573,577,622,629,666,
667,669,670,687,691,692,693,712,713,714,715,736,744,745,746,747,748,749,753,
768,796,797,798,857,866,867,868,873,911,939,943,1039,1042,1043,1045,1047,1051,
1054,1055,1058,1059,1064,1065,1067,1093,1102,1141,1226,1233,1318,1387,1416,
1420,1427,1428,1429,1430,1580,1588,1589,1642,1646,1647,1668,1817,1819,1838,
1839,1841,1844,1845,1846,1847,1850,1892,1902,1906,1909,1922,1949,1956,2103,
2241,2294,2300,2301,2302,2307,2350,2594,2606,2607,2617,2618,2639,2644,2715,
2716,2843,2976,2977,2978,2984,2987,3006,3011,3082,3244,3249,3258,3272,3308,
3502,3503,3521,3533,3534,3776,3892,3902,3915,3924,4051,4245],[1,2,3,4,5,6,8,9,
10,11,12,13,16,19,20,21,22,23,24,25,28,29,30,32,33,35,37,40,41,44,45,50,51,57,
65,66,68,71,73,74,75,76,77,79,82,85,86,87,88,91,92,99,100,101,103,107,108,113,
114,116,118,120,121,139,141,144,145,148,153,155,156,157,160,162,168,173,174,
175,179,180,181,185,188,189,190,199,201,202,205,206,207,218,219,221,236,237,
239,240,241,249,254,257,258,260,261,262,263,264,268,280,281,282,300,304,328,
329,331,332,346,347,352,361,363,366,369,372,381,382,386,391,392,405,445,447,
449,450,457,459,469,474,479,482,483,484,485,490,494,495,500,507,509,521,522,
524,528,536,542,544,551,556,557,559,560,569,576,577,586,593,594,597,598,601,
605,607,608,612,613,614,616,618,619,620,624,626,629,684,688,689,690,691,697,
718,719,720,722,742,743,769,778,799,800,809,814,828,849,857,866,867,868,873,
876,878,884,887,911,918,919,930,955,1039,1041,1045,1058,1059,1067,1069,1078,
1083,1092,1098,1104,1115,1125,1126,1139,1156,1158,1167,1168,1169,1183,1185,
1190,1191,1192,1196,1202,1203,1204,1206,1207,1208,1217,1225,1228,1231,1232,
1243,1246,1250,1254,1260,1263,1264,1268,1272,1273,1285,1289,1294,1300,1390,
1394,1436,1446,1449,1456,1463,1512,1515,1532,1538,1552,1562,1577,1579,1584,
1592,1604,1613,1617,1642,1648,1658,1818,1819,1825,1846,1851,1852,1874,1875,
1891,1913,1925,1926,1934,1944,1948,1959,1966,1969,1974,1981,1988,1991,2009,
2017,2036,2044,2048,2052,2053,2054,2058,2086,2090,2098,2103,2257,2294,2300,
2301,2307,2311,2330,2343,2350,2370,2387,2398,2400,2407,2408,2418,2596,2650,
2672,2675,2681,2684,2694,2700,2711,2760,2770,2783,2965,2977,2982,2990,2992,
3004,3012,3018,3047,3053,3056,3061,3064,3070,3093,3285,3308,3311,3496,3505,
3517,3562,3571,3757,3777,3780,3899,4055,4058,4059,4246],[1,2,4,5,6,8,9,10,11,
12,13,19,20,22,23,24,28,29,31,32,35,40,41,42,44,46,49,50,51,57,65,71,73,74,75,
76,77,78,82,87,88,96,100,101,102,107,108,116,118,120,121,139,141,144,145,148,
153,155,156,157,160,162,168,172,173,174,179,180,188,189,190,199,201,206,207,
218,219,221,236,237,238,239,240,241,257,258,259,260,261,262,263,280,281,282,
316,331,332,346,347,352,358,362,366,369,380,381,386,388,389,405,409,445,447,
449,450,451,457,474,479,482,483,484,485,494,500,503,507,513,520,521,522,524,
528,536,551,556,557,559,560,569,573,576,577,586,593,597,607,608,611,613,616,
618,619,622,625,629,671,687,688,689,690,716,717,718,742,743,769,778,799,800,
809,813,821,849,857,866,867,868,873,876,877,884,911,918,919,930,946,955,1039,
1041,1045,1058,1059,1067,1069,1078,1083,1084,1098,1104,1115,1125,1126,1139,
1156,1167,1168,1169,1183,1185,1191,1192,1202,1203,1206,1207,1208,1217,1225,
1226,1231,1232,1233,1243,1246,1254,1263,1264,1270,1271,1280,1288,1294,1318,
1388,1389,1435,1446,1447,1456,1462,1512,1515,1539,1552,1562,1577,1579,1580,
1584,1592,1613,1617,1642,1647,1648,1658,1817,1818,1845,1847,1851,1852,1874,
1875,1891,1907,1913,1922,1925,1934,1944,1948,1957,1958,1973,1981,1988,1990,
2009,2017,2032,2036,2044,2052,2060,2086,2103,2139,2147,2256,2294,2300,2301,
2307,2311,2330,2350,2370,2387,2397,2398,2400,2407,2408,2418,2595,2616,2627,
2650,2673,2679,2681,2703,2706,2770,2783,2833,2965,2976,2978,2990,2992,3004,
3011,3012,3047,3053,3056,3061,3064,3070,3082,3281,3308,3311,3493,3505,3517,
3571,3580,3757,3776,3777,3894,4055,4057,4062,4247],[1,2,3,4,5,6,8,9,10,11,12,
13,14,15,16,17,19,20,21,22,23,24,25,28,29,30,32,35,38,40,41,44,50,51,52,53,54,
55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,82,87,88,89,90,91,
92,93,100,101,103,104,105,106,107,108,109,110,118,120,121,139,141,144,145,148,
153,155,156,157,158,159,160,161,162,168,169,170,171,173,174,175,176,179,180,
181,188,189,190,195,199,201,202,204,205,206,207,208,218,219,221,227,228,229,
230,231,232,233,234,236,237,239,240,241,242,243,244,245,246,247,248,249,257,
258,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,
278,279,280,281,282,283,284,285,286,287,288,289,290,331,332,336,337,338,339,
340,346,347,350,351,366,369,378,379,381,383,386,387,405,445,447,449,450,457,
460,471,472,474,475,476,477,478,479,482,483,484,485,490,491,492,493,494,497,
498,500,502,507,510,521,522,523,524,525,528,529,530,531,532,533,534,535,536,
537,538,539,540,541,543,544,545,546,551,556,557,559,560,561,569,570,571,572,
574,576,577,578,579,583,584,585,586,587,588,589,593,595,597,598,599,600,605,
606,607,608,609,612,613,615,616,618,619,620,621,629,665,667,668,688,689,690,
694,695,696,697,698,699,700,701,702,703,704,734,737,740,741,742,743,755,756,
757,758,759,760,761,762,763,764,765,766,767,769,772,773,774,784,785,786,787,
788,799,800,801,802,803,804,805,806,809,810,811,812,857,866,867,868,873,876,
880,881,884,895,906,911,915,918,919,924,930,942,945,955,958,961,1039,1041,1045
,1046,1047,1051,1058,1059,1066,1067,1068,1069,1071,1072,1078,1083,1089,1090,
1098,1103,1104,1115,1117,1119,1122,1123,1124,1125,1126,1127,1128,1129,1130,
1131,1132,1133,1137,1138,1139,1142,1145,1146,1147,1148,1149,1150,1151,1152,
1153,1154,1155,1156,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,
1178,1179,1180,1181,1183,1184,1185,1186,1187,1188,1189,1191,1192,1193,1194,
1195,1196,1197,1198,1199,1200,1201,1202,1203,1206,1207,1208,1209,1210,1211,
1212,1213,1214,1217,1218,1219,1220,1221,1222,1223,1224,1225,1228,1229,1230,
1231,1232,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1246,1247,1248,
1249,1250,1251,1252,1253,1254,1257,1258,1259,1260,1261,1262,1263,1264,1294,
1305,1317,1413,1414,1417,1431,1432,1433,1456,1457,1458,1459,1460,1461,1467,
1468,1492,1512,1515,1526,1527,1528,1533,1552,1554,1562,1563,1566,1577,1579,
1584,1585,1592,1602,1603,1613,1617,1626,1627,1628,1629,1642,1648,1654,1658,
1665,1669,1672,1678,1680,1682,1684,1685,1691,1699,1704,1708,1818,1824,1829,
1840,1841,1851,1852,1855,1856,1857,1858,1866,1867,1870,1871,1872,1874,1875,
1876,1877,1888,1889,1890,1891,1902,1910,1913,1914,1918,1920,1921,1923,1924,
1925,1927,1928,1929,1930,1931,1932,1933,1934,1939,1942,1943,1944,1945,1946,
1948,1950,1955,1960,1961,1962,1963,1964,1968,1970,1974,1975,1976,1977,1978,
1979,1981,1982,1983,1984,1985,1986,1987,1988,1993,1994,1995,1996,1997,1998,
1999,2000,2001,2002,2003,2004,2005,2006,2007,2008,2009,2012,2013,2014,2015,
2016,2017,2018,2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2033,2034,
2035,2036,2041,2042,2043,2044,2046,2047,2049,2050,2051,2052,2086,2103,2128,
2136,2274,2294,2300,2301,2307,2309,2311,2313,2314,2315,2330,2334,2335,2345,
2346,2350,2352,2354,2370,2373,2387,2389,2393,2398,2400,2403,2407,2408,2413,
2417,2418,2425,2427,2430,2433,2436,2444,2446,2447,2465,2609,2610,2623,2640,
2647,2650,2659,2660,2661,2662,2664,2665,2667,2668,2669,2670,2681,2682,2683,
2687,2688,2702,2710,2714,2718,2719,2721,2722,2724,2725,2727,2730,2770,2783,
2787,2799,2811,2845,2965,2966,2971,2972,2984,2989,2990,2992,2995,3004,3007,
3008,3012,3014,3015,3019,3021,3030,3031,3032,3033,3044,3045,3046,3047,3052,
3053,3056,3058,3061,3064,3065,3066,3070,3071,3073,3074,3076,3078,3079,3083,
3085,3089,3090,3092,3095,3103,3283,3290,3308,3311,3336,3347,3371,3378,3505,
3510,3516,3522,3527,3528,3531,3537,3550,3554,3555,3556,3558,3560,3564,3565,
3568,3571,3572,3576,3579,3757,3759,3761,3773,3777,3782,3907,3927,4053,4055,
4060,4064,4068,4248],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23
,24,25,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,50,51,52,53,54,55
,56,57,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,82,87,88,89,90,91,92
,93,100,101,103,104,105,106,107,108,109,110,118,121,124,125,126,139,140,141,
142,143,145,146,147,151,153,154,155,156,157,158,159,160,161,162,163,164,165,
166,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,
186,187,188,189,190,191,192,193,194,195,197,199,200,201,202,203,204,205,206,
207,208,209,210,218,219,221,227,228,229,230,231,232,233,234,236,237,239,240,
241,242,243,244,245,246,247,248,249,257,258,260,261,262,263,264,265,266,267,
268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,
287,288,289,290,331,332,336,337,338,339,340,346,347,350,351,366,367,369,372,
375,376,377,379,381,383,384,386,387,388,390,391,393,401,402,405,408,409,445,
446,447,448,449,452,453,454,455,456,457,458,464,467,468,470,471,473,474,475,
476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,
496,497,498,499,500,501,502,504,505,506,507,508,511,512,521,522,523,524,525,
526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,543,544,545,
546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,564,569,
570,571,572,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,
590,591,592,593,595,596,597,598,599,600,602,603,604,605,606,607,608,609,610,
612,613,615,616,617,618,619,620,621,623,631,665,667,668,688,689,690,694,695,
696,697,698,699,700,701,702,703,704,734,737,740,741,742,743,755,756,757,758,
759,760,761,762,763,764,765,766,767,769,772,773,774,784,785,786,787,788,799,
800,801,802,803,804,805,806,809,810,811,812,857,860,861,862,863,865,866,869,
870,871,874,876,880,881,883,884,885,886,887,888,889,891,892,895,903,904,905,
906,910,911,914,915,916,918,919,921,922,923,924,926,927,930,931,933,935,936,
937,938,940,942,944,945,946,947,951,953,955,958,960,961,962,1039,1040,1041,
1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1060,1063,1066,1067,1068,
1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,
1085,1086,1087,1088,1089,1095,1096,1097,1098,1103,1104,1105,1111,1115,1116,
1117,1118,1119,1120,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,
1133,1134,1135,1137,1138,1139,1140,1142,1143,1144,1145,1146,1147,1148,1149,
1150,1151,1152,1153,1154,1155,1156,1160,1161,1162,1163,1164,1165,1166,1167,
1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,
1183,1184,1185,1186,1187,1188,1189,1191,1192,1193,1194,1195,1196,1197,1198,
1199,1200,1201,1202,1203,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,
1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1227,1228,1229,1230,1231,
1232,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1245,1246,1247,1248,
1249,1250,1251,1252,1253,1254,1256,1257,1258,1259,1260,1261,1262,1263,1264,
1297,1303,1307,1319,1320,1413,1414,1417,1431,1432,1433,1456,1457,1458,1459,
1460,1461,1467,1468,1492,1512,1513,1514,1515,1516,1518,1519,1522,1523,1525,
1526,1529,1530,1531,1534,1552,1553,1554,1555,1562,1563,1564,1565,1566,1567,
1569,1570,1571,1572,1575,1576,1578,1584,1585,1586,1587,1588,1592,1593,1594,
1595,1596,1599,1600,1601,1613,1615,1617,1619,1620,1621,1622,1624,1625,1626,
1627,1628,1629,1634,1636,1637,1638,1639,1642,1643,1644,1646,1648,1649,1650,
1651,1654,1656,1658,1660,1662,1663,1664,1665,1669,1670,1672,1673,1675,1676,
1678,1679,1680,1681,1682,1683,1684,1685,1687,1688,1690,1691,1692,1699,1700,
1701,1704,1705,1706,1708,1710,1711,1826,1830,1831,1840,1841,1842,1843,1851,
1852,1853,1854,1855,1856,1857,1858,1859,1860,1861,1862,1863,1864,1866,1867,
1868,1869,1870,1871,1872,1873,1874,1875,1876,1877,1878,1879,1880,1881,1882,
1883,1884,1885,1886,1887,1888,1889,1890,1891,1896,1898,1904,1910,1911,1912,
1913,1914,1915,1916,1917,1918,1919,1920,1921,1923,1924,1925,1927,1928,1929,
1930,1931,1932,1933,1934,1935,1936,1937,1938,1939,1941,1942,1943,1944,1945,
1946,1947,1948,1950,1951,1952,1953,1954,1955,1960,1961,1962,1963,1964,1968,
1970,1972,1974,1975,1976,1977,1978,1979,1981,1982,1983,1984,1985,1986,1987,
1988,1993,1994,1995,1996,1997,1998,1999,2000,2001,2002,2003,2004,2005,2006,
2007,2008,2009,2011,2012,2013,2014,2015,2016,2017,2018,2022,2023,2024,2025,
2026,2027,2028,2029,2030,2031,2033,2034,2035,2036,2041,2042,2043,2044,2046,
2047,2049,2050,2051,2052,2093,2105,2109,2131,2134,2142,2143,2274,2295,2297,
2298,2299,2307,2308,2309,2310,2311,2312,2313,2314,2315,2316,2317,2318,2319,
2320,2321,2322,2323,2329,2330,2331,2332,2333,2334,2336,2337,2338,2339,2345,
2347,2348,2349,2351,2352,2354,2356,2357,2370,2371,2372,2373,2387,2388,2389,
2390,2391,2392,2393,2394,2395,2398,2399,2400,2401,2402,2403,2404,2405,2406,
2407,2408,2409,2412,2413,2414,2415,2416,2417,2418,2419,2420,2421,2424,2425,
2426,2427,2430,2431,2433,2434,2436,2437,2442,2443,2444,2446,2447,2448,2449,
2450,2454,2463,2464,2465,2609,2610,2611,2612,2625,2640,2641,2647,2648,2650,
2651,2652,2653,2654,2655,2656,2657,2658,2659,2660,2661,2662,2663,2664,2665,
2667,2668,2669,2670,2671,2681,2682,2683,2687,2688,2692,2693,2702,2710,2714,
2718,2719,2721,2722,2724,2725,2727,2730,2773,2775,2779,2780,2784,2794,2800,
2803,2812,2814,2844,2846,2849,2967,2970,2973,2974,2975,2986,2988,2989,2990,
2991,2993,2994,2996,2997,2998,2999,3000,3001,3007,3008,3009,3010,3013,3014,
3015,3016,3017,3020,3022,3029,3030,3031,3032,3033,3034,3035,3036,3037,3038,
3039,3040,3041,3042,3043,3044,3045,3046,3047,3048,3050,3052,3053,3054,3055,
3056,3057,3058,3059,3060,3061,3062,3063,3064,3065,3066,3067,3068,3069,3070,
3071,3072,3073,3074,3075,3076,3077,3078,3079,3080,3081,3083,3084,3085,3086,
3087,3088,3089,3090,3091,3092,3094,3095,3103,3104,3283,3290,3291,3309,3313,
3314,3337,3339,3349,3350,3372,3374,3376,3379,3380,3381,3506,3511,3512,3513,
3514,3515,3525,3526,3527,3528,3529,3532,3538,3539,3550,3551,3552,3553,3554,
3555,3556,3557,3558,3559,3560,3561,3564,3565,3566,3567,3568,3569,3571,3572,
3573,3574,3576,3577,3578,3579,3758,3760,3762,3774,3775,3778,3779,3781,3785,
3909,3927,3928,4054,4056,4061,4065,4066,4069,4070,4249],[1,2,4,5,6,9,11,12,13,
26,27,28,32,35,40,50,57,118,130,132,134,136,139,141,144,153,173,174,215,218,
369,381,420,428,429,500,528,627,650,656,660,857,884,971,1039,1058,1290,1291,
1343,1345,1356,1366,1584,2080,2179,2185,2294,2567,2873,3115,3208,3584,3674,
4250],[1,2,4,6,7,10,13,14,19,26,27,29,35,39,44,63,65,124,130,132,134,136,140,
146,150,159,189,195,216,227,375,393,423,429,433,505,561,627,651,658,661,869,
904,984,1048,1062,1290,1291,1344,1347,1348,1357,1371,1595,2080,2180,2187,2296,
2570,2879,3116,3212,3585,3679,4251],[1,2,4,5,6,8,9,10,12,13,19,20,26,27,28,29,
32,35,38,40,44,50,65,71,121,130,132,134,136,139,140,143,145,147,155,156,173,
180,188,189,215,216,221,379,386,387,420,423,428,429,433,500,505,551,556,627,
650,651,656,658,660,661,865,866,906,971,984,1040,1041,1060,1290,1291,1343,1344
,1349,1356,1357,1366,1371,1592,1593,2080,2179,2180,2185,2187,2295,2568,2569,
2875,2877,3115,3116,3210,3211,3584,3585,3675,3676,4252],[1,2,4,5,6,9,10,12,13,
19,22,23,26,27,28,29,32,35,40,44,50,65,73,75,76,77,108,118,130,132,134,136,139
,140,173,189,215,216,281,366,369,405,420,423,428,429,433,436,438,445,446,449,
452,500,505,627,650,651,656,658,660,661,848,849,918,971,984,1007,1011,1017,
1021,1022,1038,1078,1080,1290,1291,1343,1344,1356,1357,1366,1371,1607,1778,
1810,1811,1812,2080,2179,2180,2185,2187,2196,2197,2202,2203,2580,2581,2582,
2922,2923,3115,3116,3193,3236,3584,3585,3681,4079,4253],[1,2,3,4,5,6,9,10,15,
16,19,22,23,26,27,28,29,32,33,41,45,52,62,73,75,79,80,109,118,130,131,132,136,
139,140,179,185,215,216,283,366,382,383,416,420,423,427,430,433,436,438,445,
446,449,453,502,504,627,652,653,655,656,660,661,848,878,880,977,983,1007,1012,
1016,1019,1022,1038,1071,1073,1291,1343,1344,1356,1357,1369,1370,1536,1775,
1811,1815,1816,2082,2168,2169,2186,2188,2196,2197,2202,2204,2576,2577,2581,
2920,2921,3115,3116,3193,3228,3589,3590,3666,4079,4254],[1,2,4,5,6,9,10,12,13,
22,26,27,28,29,31,40,42,50,51,73,74,101,118,130,135,136,139,140,168,172,215,
216,258,366,380,381,414,420,422,423,424,438,445,446,448,500,501,627,659,660,
661,663,664,848,876,877,968,969,1003,1006,1007,1038,1069,1070,1291,1343,1344,
1356,1357,1374,1375,1535,1732,1811,1813,1814,2083,2166,2167,2192,2193,2196,
2197,2198,2578,2579,2581,2908,2909,3115,3116,3193,3227,3586,3587,3665,4079,
4255],[1,2,4,5,6,9,12,13,22,23,26,27,28,32,40,41,44,50,107,108,118,130,132,134
,136,139,141,153,160,162,173,199,201,204,206,215,216,217,331,381,383,405,414,
416,420,428,429,436,438,500,507,522,593,613,616,627,650,651,652,654,656,660,
663,857,945,955,958,971,994,997,1011,1038,1139,1183,1290,1291,1343,1351,1353,
1354,1356,1358,1360,1361,1366,1373,1378,1379,1381,1642,1704,1712,1752,1810,
1814,1816,2080,2082,2083,2179,2185,2189,2195,2211,2219,2220,2222,2400,2468,
2469,2567,2573,2575,2587,2588,2749,2902,2917,2929,3115,3118,3120,3121,3221,
3231,3237,3584,3595,3701,3717,3810,3934,4080,4256],[1,2,4,5,6,9,10,12,13,19,22
,23,26,27,28,29,32,35,40,41,44,50,65,73,75,76,77,108,118,130,132,134,136,139,
141,153,160,162,168,173,179,180,189,199,201,215,216,217,281,366,369,381,383,
405,414,416,420,423,428,429,433,436,438,445,447,449,457,474,482,483,484,500,
507,522,557,613,627,650,651,652,654,656,658,660,661,663,857,876,880,881,918,
945,971,984,997,1007,1011,1017,1021,1022,1038,1078,1098,1202,1290,1291,1343,
1351,1353,1356,1358,1360,1366,1370,1371,1373,1374,1376,1378,1379,1381,1512,
1515,1628,1642,1712,1778,1810,1811,1812,1814,1816,2080,2082,2083,2166,2168,
2179,2185,2189,2195,2197,2201,2202,2207,2215,2216,2218,2220,2222,2223,2224,
2407,2468,2469,2567,2573,2577,2579,2580,2583,2587,2749,2888,2922,2928,2938,
3115,3118,3120,3121,3199,3203,3221,3226,3231,3232,3235,3584,3586,3590,3595,
3707,3715,3810,3932,4080,4081,4082,4257],[1,2,4,5,6,9,12,13,22,24,26,27,28,32,
40,41,44,50,100,101,118,130,132,134,136,139,141,153,160,162,173,199,206,207,
208,215,216,217,237,381,383,405,414,415,418,420,428,429,500,507,522,586,618,
619,627,650,651,652,654,656,660,663,857,945,955,961,971,986,987,1038,1115,1232
,1290,1291,1343,1351,1356,1358,1360,1361,1362,1363,1365,1366,1378,1379,1642,
1699,1712,1721,1810,1814,1816,2077,2079,2080,2179,2185,2189,2195,2208,2225,
2226,2398,2468,2469,2567,2573,2574,2587,2588,2743,2880,2895,2939,3115,3117,
3118,3119,3221,3231,3239,3584,3588,3705,3716,3810,3930,4080,4258],[1,2,3,4,5,9
,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,30,32,40,41,49,50,51,52
,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
,79,80,81,82,83,84,85,86,87,89,90,91,92,94,95,96,97,98,99,100,101,102,103,104,
105,106,107,108,109,110,111,112,113,114,115,130,131,132,135,136,139,155,157,
158,160,162,168,169,170,171,173,175,176,179,180,181,201,202,205,207,219,220,
221,222,223,225,226,227,228,229,230,231,232,233,235,239,240,244,245,246,247,
249,250,251,252,253,257,258,259,263,264,265,266,268,271,273,274,279,280,281,
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,
320,321,322,323,324,325,326,327,328,329,330,332,333,334,335,336,337,339,340,
341,342,343,344,345,414,416,417,421,422,423,424,425,426,427,429,430,431,432,
433,435,437,445,449,476,482,490,491,492,494,495,500,502,520,521,523,524,533,
536,537,538,539,540,541,542,543,544,545,546,556,557,571,573,577,578,585,587,
588,589,594,598,601,605,606,611,612,614,616,618,620,622,624,665,666,668,669,
671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,689,697,698,
699,701,705,706,708,710,711,718,722,727,730,731,732,733,734,735,736,743,744,
745,746,747,748,749,750,751,752,753,754,756,759,763,764,765,766,767,768,776,
777,785,787,790,792,793,794,795,829,830,831,832,833,834,967,968,970,972,973,
974,975,976,978,981,982,983,984,985,987,988,989,990,995,996,997,999,1001,1002,
1004,1005,1008,1009,1010,1013,1014,1015,1018,1023,1024,1025,1041,1042,1047,
1051,1066,1069,1071,1072,1078,1117,1121,1122,1123,1124,1125,1129,1136,1141,
1148,1157,1158,1159,1172,1176,1178,1179,1180,1185,1187,1196,1197,1199,1204,
1205,1206,1217,1219,1226,1228,1229,1236,1237,1244,1247,1250,1255,1260,1262,
1264,1267,1268,1269,1271,1273,1274,1343,1389,1394,1404,1405,1407,1408,1409,
1410,1411,1414,1415,1416,1421,1426,1431,1434,1476,1477,1478,1481,1486,1488,
1490,1497,1498,1714,1715,1717,1723,1727,1728,1729,1731,1733,1734,1736,1737,
1738,1740,1741,1744,1745,1753,1754,1755,1757,1762,1767,1768,1769,1770,1771,
1772,1773,1774,1779,1780,1838,1840,1844,1857,1865,1870,1875,1876,1877,1901,
1907,1908,1909,1923,1927,1949,1956,1959,1960,1963,1966,1967,1971,1974,1979,
1987,1988,1990,1993,1997,2010,2039,2054,2059,2166,2168,2178,2179,2240,2243,
2244,2245,2247,2273,2281,2472,2473,2484,2485,2490,2492,2508,2509,2511,2516,
2517,2518,2522,2609,2615,2626,2627,2638,2639,2649,2668,2677,2684,2690,2695,
2698,2709,2874,2876,2877,2878,2881,2883,2884,2885,2888,2901,2949,3124,3131,
3135,3247,3256,3265,3270,3400,3401,3403,3406,3410,3413,3414,3416,3418,3419,
3420,3432,3435,3438,3597,3731,3812,3817,3820,3822,3829,3830,3835,4083,4092,
4094,4259],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,
30,32,40,41,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,73,
74,75,76,77,79,80,81,82,87,88,89,90,91,92,93,94,95,100,101,103,104,105,106,107
,108,109,110,111,112,130,131,132,135,136,139,153,155,157,158,160,161,162,168,
169,170,171,173,174,175,176,179,180,181,190,199,201,202,205,206,207,218,219,
221,222,223,224,225,226,227,228,229,230,231,232,233,234,236,237,239,240,241,
242,243,244,245,246,247,248,249,250,251,252,253,257,258,260,261,262,263,264,
265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,
284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,331,332,333,
334,335,336,337,338,339,340,346,347,348,349,350,351,414,415,416,417,420,421,
422,423,424,425,426,427,428,429,430,431,432,433,435,436,437,438,445,449,474,
475,476,477,478,479,482,483,484,485,490,491,492,493,494,500,502,521,522,523,
524,525,528,529,530,531,532,533,534,535,536,537,538,539,540,541,543,544,545,
546,556,557,559,560,569,570,571,572,576,577,578,579,583,584,585,586,587,588,
589,593,597,598,599,600,605,606,607,608,612,613,615,616,618,619,620,621,665,
667,668,669,670,688,689,690,694,695,696,697,698,699,700,701,702,703,704,705,
706,707,708,709,710,711,734,735,737,738,739,740,741,742,743,750,751,752,753,
754,755,756,757,758,759,760,761,762,763,764,765,766,767,769,770,771,772,773,
774,775,776,777,784,785,786,787,788,789,790,791,792,793,794,795,799,800,801,
802,803,804,805,806,807,808,809,810,811,812,968,969,970,971,972,973,974,975,
977,978,979,980,981,982,983,984,986,987,988,989,990,991,992,993,994,995,996,
997,999,1000,1002,1003,1006,1007,1008,1009,1010,1011,1012,1016,1017,1018,1019,
1020,1021,1022,1023,1024,1039,1041,1042,1047,1051,1066,1067,1068,1069,1071,
1072,1078,1083,1089,1115,1117,1122,1123,1124,1125,1126,1127,1128,1129,1130,
1131,1132,1133,1137,1138,1139,1141,1145,1146,1147,1148,1149,1150,1151,1152,
1153,1154,1155,1156,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,
1178,1179,1180,1183,1184,1185,1186,1187,1188,1189,1191,1192,1193,1194,1195,
1196,1197,1198,1199,1200,1201,1202,1203,1206,1207,1208,1209,1210,1211,1212,
1213,1214,1217,1218,1219,1220,1221,1222,1223,1224,1225,1228,1229,1230,1231,
1232,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1246,1247,1248,1249,
1250,1251,1252,1253,1254,1257,1258,1259,1260,1261,1262,1263,1264,1343,1387,
1412,1413,1414,1415,1417,1418,1419,1421,1422,1423,1424,1425,1426,1431,1432,
1433,1445,1456,1457,1458,1459,1460,1461,1466,1467,1468,1472,1473,1474,1475,
1476,1477,1478,1479,1490,1491,1492,1497,1498,1499,1504,1505,1715,1716,1717,
1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1731,1732,1734,1735,
1737,1739,1740,1741,1742,1743,1746,1747,1749,1750,1752,1753,1754,1755,1756,
1757,1758,1759,1760,1761,1763,1764,1765,1775,1776,1777,1778,1779,1780,1781,
1782,1783,1784,1785,1786,1840,1841,1844,1851,1852,1855,1856,1857,1858,1865,
1870,1871,1872,1874,1875,1876,1877,1888,1889,1908,1910,1913,1914,1920,1921,
1923,1924,1925,1927,1928,1929,1930,1931,1932,1933,1934,1939,1940,1943,1944,
1945,1946,1948,1955,1956,1960,1961,1962,1963,1964,1968,1970,1971,1974,1975,
1976,1977,1978,1979,1981,1982,1983,1984,1985,1986,1987,1988,1993,1994,1995,
1996,1997,1998,1999,2000,2001,2002,2003,2004,2005,2006,2007,2008,2009,2012,
2013,2014,2015,2016,2017,2018,2022,2023,2024,2025,2026,2027,2028,2029,2030,
2031,2033,2034,2035,2036,2041,2042,2043,2044,2046,2047,2049,2050,2051,2052,
2166,2168,2178,2179,2242,2255,2266,2273,2274,2275,2287,2289,2290,2471,2473,
2474,2475,2477,2479,2484,2485,2486,2487,2488,2489,2490,2491,2493,2494,2496,
2497,2501,2502,2504,2505,2506,2507,2510,2511,2512,2524,2525,2526,2527,2594,
2609,2610,2614,2636,2637,2638,2640,2642,2643,2646,2647,2649,2650,2659,2660,
2661,2664,2665,2667,2668,2669,2670,2677,2678,2681,2682,2683,2687,2688,2689,
2690,2691,2702,2710,2714,2718,2719,2721,2722,2724,2725,2727,2730,2873,2874,
2876,2877,2878,2880,2881,2883,2884,2885,2887,2888,2889,2901,2902,2950,3127,
3129,3134,3135,3136,3144,3145,3147,3148,3250,3252,3262,3270,3275,3283,3287,
3288,3290,3298,3401,3402,3403,3404,3405,3406,3407,3408,3410,3411,3414,3415,
3417,3418,3419,3420,3421,3422,3433,3434,3435,3437,3438,3439,3440,3441,3447,
3448,3603,3737,3811,3812,3813,3815,3816,3817,3818,3819,3820,3821,3823,3824,
3830,3831,3833,3834,3835,3836,3837,3838,3841,3847,3848,3849,3850,4086,4088,
4089,4092,4095,4096,4097,4098,4101,4260],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,
18,19,20,21,22,23,24,25,26,28,30,32,40,41,50,51,52,53,54,55,56,57,58,59,60,61,
62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,82,87,89,90,91,92,94,95,100
,101,103,104,105,106,107,108,109,110,111,112,116,117,130,131,132,135,136,139,
153,155,157,160,162,169,170,171,173,174,175,176,180,181,201,202,205,206,207,
218,221,222,223,224,225,226,228,229,230,231,232,233,234,236,237,239,242,243,
244,245,246,247,250,251,252,253,257,258,261,262,263,264,265,266,268,269,270,
271,272,273,274,275,278,279,281,283,284,285,286,287,290,291,292,293,294,295,
296,297,298,299,331,333,334,335,336,337,338,340,352,353,354,355,356,357,417,
420,421,422,423,424,425,426,427,428,429,430,431,432,433,435,436,437,438,476,
478,484,485,490,492,500,502,521,522,524,528,529,531,532,533,538,539,540,543,
544,545,546,556,569,576,577,584,585,587,588,589,593,600,606,607,612,615,616,
618,619,620,625,626,667,668,669,670,688,694,695,696,700,701,707,708,709,710,
711,718,722,727,730,731,732,735,737,742,750,751,752,753,754,756,757,758,759,
760,761,762,767,778,779,780,781,782,783,784,785,788,789,790,791,792,793,794,
795,835,836,841,842,968,969,970,971,972,973,974,975,977,978,979,980,981,982,
983,984,990,995,996,999,1000,1002,1003,1006,1007,1008,1009,1010,1011,1012,1016
,1017,1018,1019,1020,1021,1022,1023,1024,1026,1039,1041,1042,1047,1051,1067,
1117,1122,1127,1128,1129,1130,1139,1141,1146,1152,1154,1168,1179,1180,1185,
1186,1188,1196,1197,1209,1213,1217,1225,1228,1231,1232,1236,1237,1242,1247,
1252,1258,1259,1261,1262,1270,1272,1283,1284,1343,1387,1415,1417,1418,1419,
1422,1423,1424,1425,1426,1432,1446,1448,1450,1453,1454,1455,1469,1470,1471,
1481,1486,1488,1490,1506,1715,1716,1717,1718,1719,1720,1728,1731,1732,1734,
1735,1737,1739,1740,1741,1742,1743,1746,1747,1749,1750,1757,1763,1764,1765,
1775,1776,1777,1778,1779,1780,1787,1788,1789,1840,1841,1844,1871,1908,1910,
1925,1928,1948,1955,1956,1959,1960,1961,1962,1969,1971,1973,1975,1978,1982,
1984,1990,1993,2008,2045,2054,2061,2066,2178,2179,2242,2268,2269,2271,2272,
2281,2288,2471,2477,2479,2484,2490,2491,2493,2494,2496,2497,2501,2502,2516,
2519,2520,2522,2523,2594,2638,2640,2642,2643,2649,2667,2674,2679,2698,2700,
2704,2707,2708,2873,2874,2876,2877,2878,2881,2901,2902,2960,3129,3130,3131,
3143,3151,3250,3265,3266,3296,3401,3402,3403,3414,3415,3433,3434,3435,3438,
3462,3599,3741,3811,3817,3820,3821,3823,3824,3840,4088,4093,4094,4261],[1,2,3,
4,5,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,30,32,40,41,50,51,
52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,
81,82,87,89,90,91,92,94,95,100,101,102,103,104,105,106,107,108,109,110,111,112
,113,114,115,116,117,130,131,132,135,136,139,155,157,158,160,162,168,169,170,
171,173,175,176,179,180,181,201,202,205,207,219,221,222,223,225,226,227,228,
229,230,231,232,233,238,239,240,244,245,246,247,249,250,251,252,253,254,255,
256,257,258,263,264,265,266,268,271,273,274,279,280,281,282,283,284,285,286,
287,288,289,290,291,292,293,294,295,296,297,298,299,332,333,334,335,336,337,
339,340,341,342,343,352,353,354,355,356,357,414,416,417,421,422,423,424,425,
426,427,429,430,431,432,433,435,437,445,449,476,482,490,491,492,494,500,502,
521,523,524,533,536,537,538,539,540,541,543,544,545,546,556,557,571,577,578,
585,587,588,589,594,598,605,606,612,614,616,618,620,622,625,626,665,668,669,
689,697,698,699,701,705,706,708,710,711,716,719,724,725,726,734,735,736,743,
750,751,752,753,754,756,759,763,764,765,766,767,776,777,778,779,780,781,782,
783,785,787,790,792,793,794,795,796,797,798,835,836,841,842,968,970,972,973,
974,975,978,981,982,983,984,987,988,989,990,995,996,997,999,1001,1002,1004,
1008,1009,1010,1013,1018,1023,1024,1026,1041,1042,1047,1051,1066,1069,1071,
1072,1078,1117,1122,1123,1124,1125,1129,1141,1148,1172,1176,1178,1179,1180,
1185,1187,1190,1196,1197,1199,1206,1217,1219,1228,1229,1233,1236,1237,1244,
1247,1250,1260,1262,1264,1265,1270,1272,1283,1284,1343,1414,1415,1420,1421,
1426,1431,1447,1449,1451,1452,1469,1470,1471,1476,1477,1478,1480,1485,1487,
1490,1497,1498,1506,1715,1717,1723,1727,1728,1731,1734,1737,1738,1740,1741,
1748,1751,1753,1754,1755,1757,1766,1779,1780,1787,1788,1789,1840,1844,1857,
1865,1870,1875,1876,1877,1908,1909,1923,1927,1956,1957,1960,1963,1965,1969,
1971,1973,1974,1979,1987,1988,1991,1993,1997,2045,2055,2061,2066,2166,2168,
2178,2179,2253,2267,2270,2273,2276,2277,2288,2473,2482,2484,2485,2490,2499,
2503,2511,2514,2519,2520,2523,2609,2638,2644,2649,2668,2675,2677,2680,2690,
2697,2701,2703,2707,2708,2874,2876,2877,2878,2881,2883,2884,2885,2888,2901,
2959,3130,3132,3135,3266,3268,3270,3295,3401,3403,3406,3410,3414,3416,3418,
3419,3420,3435,3438,3462,3601,3738,3812,3817,3820,3825,3830,3835,3840,4090,
4092,4093,4262],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,
26,28,30,32,40,41,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,
71,74,75,76,77,80,81,82,87,88,89,90,91,92,93,94,95,100,101,102,103,104,105,106
,107,108,109,110,111,112,113,114,115,130,131,132,135,136,139,155,157,158,160,
161,162,169,170,171,173,174,175,176,179,180,181,190,199,201,202,205,206,207,
221,222,223,225,226,228,229,230,231,232,233,237,238,239,240,241,243,244,245,
246,247,248,249,250,251,252,253,254,255,256,257,260,261,262,264,265,266,267,
269,270,271,272,273,274,275,276,277,278,280,282,285,286,288,289,290,291,292,
293,294,295,296,297,298,299,333,334,335,336,337,340,341,342,343,346,348,349,
350,415,416,417,421,422,423,424,425,426,427,429,430,431,432,433,435,437,449,
475,478,479,483,485,490,491,492,493,494,500,502,521,524,525,530,531,533,534,
535,538,539,540,541,543,544,545,546,556,559,560,571,572,576,577,578,579,583,
584,585,586,587,588,589,594,599,600,605,606,607,608,612,613,614,616,618,620,
621,622,668,669,690,700,702,703,704,709,710,711,716,718,719,722,724,725,726,
727,730,731,732,735,736,738,739,740,750,751,752,753,754,755,756,758,760,766,
769,770,771,772,773,774,777,785,786,787,788,790,791,793,794,795,796,797,798,
807,808,968,970,972,973,974,975,978,981,982,983,984,986,989,990,991,992,993,
994,995,996,999,1001,1002,1004,1008,1009,1010,1013,1018,1023,1024,1041,1042,
1047,1051,1072,1083,1089,1115,1117,1122,1129,1132,1141,1147,1149,1153,1154,
1167,1170,1171,1174,1176,1177,1179,1180,1185,1190,1191,1194,1196,1197,1198,
1200,1203,1207,1214,1217,1218,1220,1224,1228,1233,1234,1236,1237,1240,1244,
1246,1247,1249,1251,1262,1265,1343,1412,1413,1415,1420,1425,1433,1462,1463,
1464,1465,1466,1472,1473,1474,1480,1481,1485,1486,1487,1488,1490,1498,1499,
1715,1717,1724,1725,1726,1727,1728,1731,1734,1737,1738,1740,1741,1748,1751,
1757,1759,1760,1766,1779,1780,1785,1786,1840,1844,1852,1856,1858,1865,1888,
1908,1909,1940,1956,1957,1959,1960,1965,1968,1970,1971,1990,1991,1993,1994,
1998,2003,2012,2014,2015,2016,2017,2018,2054,2055,2168,2178,2179,2253,2264,
2265,2281,2285,2286,2287,2482,2484,2486,2488,2490,2499,2503,2504,2505,2514,
2516,2522,2636,2638,2644,2646,2649,2672,2673,2687,2689,2697,2698,2705,2713,
2714,2874,2876,2877,2878,2880,2881,2885,2887,2889,2901,2961,3131,3132,3134,
3262,3265,3268,3284,3401,3403,3407,3408,3410,3411,3414,3416,3421,3435,3437,
3438,3441,3598,3736,3816,3817,3818,3820,3825,3834,3836,4089,4090,4094,4263],[1
,2,3,4,5,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,30,32,40,41,
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,
75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,94,95,96,97,98,99,100,101,
102,103,104,105,106,107,108,109,110,111,112,113,114,115,130,131,132,135,136,
139,153,155,157,160,162,169,170,171,173,174,175,176,180,181,201,202,206,207,
218,220,221,222,223,224,225,226,228,229,230,231,232,233,234,235,236,237,238,
242,243,244,245,247,250,251,254,255,256,257,258,259,261,262,263,264,265,266,
268,269,270,271,272,273,274,275,278,279,281,283,284,285,286,287,290,291,292,
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,
331,333,334,335,336,337,338,340,341,342,343,344,345,420,421,422,423,424,425,
426,427,428,429,430,431,432,433,435,436,437,438,476,478,484,485,490,492,495,
500,502,520,521,522,524,528,529,531,532,533,538,539,540,542,543,544,545,546,
556,569,573,576,577,584,587,588,593,594,600,601,606,607,611,612,614,615,618,
619,622,624,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,
682,683,684,685,686,687,688,691,692,693,694,695,696,700,701,707,708,709,710,
711,712,713,714,715,716,717,719,720,721,723,724,725,726,728,729,733,735,736,
737,742,744,745,746,747,748,749,750,751,752,753,754,756,757,758,759,760,761,
762,767,768,784,788,789,791,792,793,794,796,797,798,829,830,831,832,833,834,
967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,
999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014
,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1039,1041,1042,1047,
1051,1067,1121,1122,1127,1128,1129,1130,1136,1139,1141,1146,1152,1154,1157,
1158,1159,1168,1179,1180,1186,1188,1190,1196,1197,1204,1205,1209,1213,1217,
1225,1226,1231,1232,1233,1236,1242,1244,1247,1252,1255,1258,1259,1261,1265,
1267,1268,1269,1271,1273,1274,1343,1387,1388,1390,1391,1392,1393,1395,1396,
1397,1398,1399,1400,1401,1402,1403,1406,1408,1409,1410,1411,1415,1416,1417,
1418,1419,1420,1422,1423,1424,1425,1426,1427,1428,1429,1430,1432,1434,1480,
1482,1483,1484,1485,1487,1489,1714,1715,1716,1717,1718,1719,1720,1729,1731,
1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,
1747,1748,1749,1750,1751,1762,1763,1764,1765,1766,1767,1768,1769,1770,1771,
1772,1773,1774,1775,1776,1777,1778,1779,1780,1838,1840,1841,1844,1871,1901,
1907,1908,1909,1910,1922,1925,1926,1928,1948,1949,1955,1956,1957,1958,1961,
1962,1965,1966,1967,1975,1978,1980,1982,1984,1989,1991,1992,1993,2008,2010,
2039,2053,2055,2056,2059,2178,2179,2240,2241,2242,2246,2248,2249,2250,2251,
2252,2253,2254,2471,2472,2476,2477,2478,2479,2482,2483,2490,2491,2492,2493,
2494,2495,2496,2497,2498,2499,2500,2501,2502,2503,2508,2509,2513,2514,2515,
2517,2518,2594,2616,2626,2628,2638,2639,2640,2642,2643,2644,2666,2667,2685,
2686,2694,2696,2697,2699,2709,2873,2874,2876,2877,2878,2901,2902,2951,3124,
3128,3129,3132,3133,3137,3138,3139,3140,3141,3142,3247,3249,3250,3257,3268,
3269,3400,3401,3402,3403,3413,3414,3415,3416,3432,3433,3434,3435,3602,3747,
3811,3820,3821,3822,3823,3824,3825,3829,4083,4087,4088,4090,4091,4264],[1,2,3,
4,5,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,30,32,40,41,49,50,
51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,
78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103
,104,105,106,107,108,109,110,111,112,113,114,115,116,117,130,131,132,135,136,
139,155,157,158,160,161,162,169,170,171,173,174,175,176,179,180,181,190,199,
201,202,205,206,207,220,221,222,223,225,226,228,229,230,231,232,233,235,237,
240,241,243,244,245,247,248,249,250,251,253,257,259,260,261,262,264,265,266,
267,269,270,271,272,273,274,275,276,277,278,280,282,285,286,288,289,290,291,
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,
330,333,334,335,336,337,340,341,342,343,344,345,346,348,349,350,352,353,354,
355,356,357,358,359,360,361,362,363,364,365,415,416,417,421,422,423,424,425,
426,427,429,430,431,432,433,435,437,449,475,478,479,483,485,490,491,492,493,
494,495,500,502,520,521,524,525,530,531,533,534,535,538,539,540,541,542,543,
544,545,546,556,559,560,571,572,573,576,577,578,579,583,584,585,586,587,588,
594,599,600,601,605,606,607,608,611,612,613,614,618,621,622,624,625,626,666,
668,669,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,690,
700,702,703,704,709,710,711,733,735,736,738,739,740,744,745,746,747,748,749,
750,751,752,753,754,755,756,758,760,766,768,769,770,771,772,773,774,777,778,
779,780,781,782,783,786,787,788,791,793,795,807,808,813,814,815,816,817,818,
819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,
838,839,840,841,842,843,844,845,846,967,968,970,972,973,974,975,976,978,981,
982,983,984,985,986,989,990,991,992,993,994,999,1001,1002,1004,1005,1008,1009,
1010,1013,1014,1015,1018,1023,1024,1025,1026,1041,1042,1047,1051,1072,1083,
1089,1115,1117,1121,1122,1129,1132,1136,1141,1147,1149,1153,1154,1157,1158,
1159,1167,1170,1171,1174,1176,1177,1179,1180,1191,1194,1196,1197,1198,1200,
1203,1204,1205,1207,1214,1217,1218,1220,1224,1226,1234,1236,1240,1244,1246,
1247,1249,1251,1255,1267,1268,1269,1270,1271,1272,1273,1274,1279,1280,1281,
1283,1284,1285,1286,1287,1288,1289,1343,1408,1409,1410,1411,1412,1413,1415,
1416,1425,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,1466,
1469,1470,1471,1472,1473,1474,1493,1494,1495,1496,1498,1499,1500,1501,1502,
1503,1506,1507,1508,1509,1510,1714,1715,1717,1724,1725,1726,1727,1729,1731,
1733,1734,1736,1737,1738,1740,1741,1744,1745,1759,1760,1762,1767,1768,1769,
1770,1771,1772,1773,1774,1779,1780,1785,1786,1787,1788,1789,1838,1840,1844,
1852,1856,1858,1865,1888,1901,1907,1908,1909,1940,1949,1956,1966,1967,1968,
1969,1970,1973,1993,1994,1998,2003,2010,2012,2014,2015,2016,2017,2018,2032,
2037,2038,2039,2040,2045,2048,2057,2058,2059,2060,2061,2066,2071,2072,2073,
2074,2168,2178,2179,2240,2278,2279,2280,2282,2283,2284,2287,2288,2291,2292,
2472,2486,2488,2490,2492,2504,2505,2508,2509,2517,2518,2519,2520,2523,2528,
2529,2530,2531,2626,2636,2638,2639,2646,2676,2687,2689,2706,2707,2708,2709,
2711,2712,2714,2720,2723,2726,2728,2729,2731,2874,2876,2877,2878,2880,2881,
2885,2887,2889,2901,2954,3124,3130,3134,3146,3149,3247,3262,3266,3273,3274,
3293,3400,3401,3403,3407,3408,3410,3411,3413,3414,3416,3421,3432,3435,3437,
3441,3462,3600,3745,3816,3818,3820,3822,3829,3834,3836,3840,3844,3857,4083,
4089,4093,4102,4105,4265],[1,2,3,4,6,9,10,11,12,13,14,15,16,17,19,20,21,22,23,
24,25,27,29,31,33,35,42,44,45,49,50,51,52,53,54,55,56,57,62,63,64,65,66,67,68,
69,70,71,73,74,75,76,77,78,79,80,81,82,85,86,87,88,89,90,91,92,93,96,99,100,
101,102,103,104,105,106,107,108,109,110,113,114,116,133,134,137,140,144,156,
159,163,165,166,172,177,178,182,183,184,185,186,187,188,189,195,200,204,208,
209,218,219,220,221,227,228,229,230,231,232,233,234,236,237,238,239,240,241,
242,243,244,245,246,247,248,249,254,255,257,258,259,260,261,262,263,264,265,
266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,
285,286,287,288,289,290,300,301,302,303,304,305,316,326,327,328,329,330,331,
332,336,337,338,339,340,343,344,346,347,350,351,352,356,357,358,361,362,363,
418,419,434,446,448,450,451,452,453,459,460,480,481,486,487,488,489,497,498,
501,503,504,505,509,510,526,527,547,548,549,550,551,552,553,554,555,561,562,
565,574,575,581,582,590,591,592,595,602,603,604,609,617,623,665,667,668,671,
684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,
703,704,716,717,718,719,720,721,722,723,724,734,737,740,741,742,743,755,756,
757,758,759,760,761,762,763,764,765,766,767,768,769,772,773,774,778,783,784,
785,786,787,788,796,799,800,801,802,803,804,805,806,809,810,811,812,813,814,
815,816,821,828,829,835,837,844,998,1040,1048,1049,1050,1053,1055,1070,1073,
1074,1075,1076,1077,1079,1080,1081,1082,1084,1085,1086,1090,1091,1092,1093,
1094,1116,1118,1134,1135,1140,1144,1160,1161,1162,1163,1164,1165,1166,1181,
1215,1216,1227,1245,1256,1275,1282,1345,1388,1389,1390,1391,1392,1393,1394,
1395,1408,1413,1414,1417,1427,1431,1432,1433,1435,1436,1437,1446,1447,1448,
1449,1456,1457,1458,1459,1460,1461,1462,1463,1467,1468,1471,1487,1488,1489,
1492,1493,1503,1730,1832,1842,1843,1853,1854,1859,1860,1861,1862,1863,1864,
1873,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1899,1911,1912,1915,
1916,1917,1935,1936,1937,1938,1947,1952,1953,1954,1972,2011,2070,2170,2175,
2181,2245,2246,2256,2257,2258,2259,2267,2268,2274,2282,2285,2480,2481,2521,
2591,2592,2611,2612,2629,2631,2641,2645,2648,2651,2652,2653,2654,2655,2656,
2657,2658,2671,2692,2693,2892,2963,3125,3126,3150,3253,3254,3259,3260,3271,
3291,3604,3739,3814,4084,4085,4099,4266],[1,2,3,4,7,10,11,12,13,14,15,16,17,18
,19,21,23,24,25,27,36,39,47,51,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70
,72,77,79,82,83,84,85,86,87,89,90,91,92,94,95,97,98,99,100,102,103,104,105,106
,107,110,111,112,113,114,115,116,133,134,137,146,149,150,167,196,198,219,223,
224,225,226,227,228,233,234,235,238,239,240,242,243,246,249,250,251,252,254,
255,256,257,263,264,265,266,268,271,273,274,279,284,293,294,295,297,298,300,
302,304,306,307,308,309,310,311,312,313,314,315,317,318,319,320,321,322,323,
324,325,328,329,334,336,337,341,342,343,345,348,349,352,356,357,418,419,434,
461,462,463,465,466,470,514,515,516,517,518,563,665,670,674,675,676,680,682,
683,684,689,692,696,697,698,699,705,706,707,708,709,713,714,715,716,719,723,
724,727,728,729,730,731,732,738,739,746,747,749,751,756,759,775,778,783,785,
787,789,790,791,796,798,822,823,830,834,835,839,845,998,1057,1061,1062,1106,
1107,1108,1109,1110,1112,1113,1266,1347,1348,1350,1391,1400,1401,1404,1405,
1406,1407,1409,1421,1423,1429,1431,1447,1449,1454,1471,1472,1481,1482,1486,
1487,1496,1501,1505,1730,1820,1821,1823,1827,1828,1848,1849,1900,1903,1905,
2063,2064,2069,2076,2171,2172,2173,2174,2182,2183,2184,2247,2249,2255,2265,
2267,2271,2278,2480,2481,2521,2601,2602,2603,2604,2619,2620,2624,2717,2737,
2893,2894,2955,3125,3126,3150,3263,3280,3604,3734,4103,4267],[1,2,3,4,6,9,10,
11,12,13,14,15,16,17,19,21,22,23,24,25,26,29,31,33,35,42,44,45,49,50,51,52,54,
55,57,62,63,64,65,66,67,68,69,70,73,74,75,76,77,78,79,80,81,82,85,86,89,90,91,
96,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,117,130,131,
132,135,136,140,144,165,172,184,185,186,187,189,200,204,208,209,216,218,220,
228,229,232,233,234,236,237,238,240,242,243,244,245,247,249,251,252,254,255,
257,258,259,264,265,266,273,274,281,283,284,285,286,287,290,300,301,302,303,
304,305,316,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,343,
344,346,347,348,349,350,351,353,354,355,414,415,416,417,420,421,422,423,424,
425,426,427,428,429,430,431,432,433,435,436,437,438,446,448,450,451,452,453,
459,460,501,503,504,505,509,510,549,565,590,591,592,595,617,623,651,653,655,
658,659,661,664,667,671,684,685,686,687,688,691,692,693,694,695,696,700,701,
716,717,719,720,721,723,724,727,730,734,735,737,738,739,740,741,756,767,768,
776,777,779,780,784,787,788,790,791,792,794,796,809,810,811,812,824,825,829,
836,840,846,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,
983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,999,1000,1001,1002
,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,
1018,1019,1020,1021,1022,1023,1024,1025,1026,1049,1055,1070,1073,1074,1075,
1076,1080,1084,1090,1091,1092,1093,1094,1116,1118,1140,1144,1245,1282,1352,
1354,1357,1359,1362,1364,1367,1368,1369,1371,1375,1377,1380,1388,1390,1391,
1392,1393,1395,1408,1419,1427,1432,1450,1453,1469,1472,1474,1475,1476,1478,
1481,1487,1489,1491,1492,1495,1502,1714,1715,1716,1717,1718,1719,1720,1721,
1722,1723,1724,1725,1726,1727,1728,1729,1731,1732,1733,1734,1735,1736,1737,
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,
1783,1784,1785,1786,1787,1788,1789,1832,1887,1899,1911,1912,1915,1916,1917,
1972,2075,2187,2188,2190,2191,2193,2194,2196,2198,2199,2200,2203,2204,2205,
2206,2209,2210,2212,2213,2217,2221,2227,2228,2243,2246,2265,2266,2272,2277,
2279,2471,2472,2473,2474,2475,2476,2477,2478,2479,2482,2483,2484,2485,2486,
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,
2517,2518,2519,2520,2522,2523,2524,2525,2526,2527,2528,2529,2530,2531,2591,
2592,2645,2671,2897,2898,2906,2907,2909,2910,2913,2914,2918,2919,2920,2923,
2924,2925,2926,2927,2931,2932,2936,2940,2953,3124,3127,3128,3129,3130,3131,
3132,3133,3134,3135,3136,3137,3138,3139,3140,3141,3142,3143,3144,3145,3146,
3147,3148,3149,3151,3260,3264,3267,3431,3446,3451,3452,3456,3466,3467,3468,
3471,3473,3597,3598,3599,3600,3601,3602,3603,3742,3832,3839,3842,3855,3941,
4100,4104,4106,4268],[1,2,4,5,6,7,8,9,10,12,13,19,20,28,29,32,35,40,41,43,44,
50,65,71,118,119,120,121,122,123,124,125,126,127,128,129,139,141,142,143,145,
146,151,153,154,155,156,160,162,168,173,174,179,180,188,189,190,221,366,369,
381,383,386,387,390,393,405,406,407,408,413,500,506,507,522,528,551,557,559,
560,629,630,631,632,633,634,635,636,637,638,639,640,641,642,857,858,859,860,
861,862,863,864,866,867,868,871,872,876,880,881,895,911,912,913,914,918,919,
930,938,942,944,945,957,963,1041,1044,1063,1126,1293,1294,1296,1297,1309,1317,
1319,1324,1552,1584,1592,1601,1602,1626,1627,1628,1642,1669,1673,1790,1791,
1792,1793,1794,1795,1796,2085,2086,2088,2092,2102,2103,2104,2105,2106,2107,
2108,2111,2112,2113,2114,2115,2120,2121,2126,2136,2150,2151,2152,2298,2354,
2418,2535,2538,2765,2766,2770,2772,2777,2845,2849,2941,3152,3155,3156,3157,
3163,3168,3169,3172,3173,3174,3181,3306,3347,3614,3617,3865,3866,3942,3944,
3945,4269],[1,2,4,5,6,7,8,10,12,13,19,20,22,23,28,29,31,32,34,35,38,39,40,41,
42,44,46,51,71,74,77,108,118,119,120,121,122,123,124,125,126,127,128,129,143,
146,155,162,163,168,172,173,174,177,178,179,189,190,197,201,204,206,208,280,
366,367,369,371,373,374,375,376,377,378,379,380,381,383,384,385,386,387,388,
389,393,399,400,401,402,403,404,405,409,411,454,464,470,482,485,508,536,560,
562,576,593,595,597,629,630,631,632,633,634,635,636,637,638,639,640,641,642,
848,849,871,876,877,880,882,883,884,891,892,893,895,902,904,906,908,909,910,
918,927,929,930,942,946,947,958,961,1111,1169,1294,1295,1297,1298,1299,1303,
1304,1305,1306,1307,1308,1310,1312,1313,1314,1315,1316,1317,1318,1319,1320,
1321,1325,1327,1328,1329,1330,1331,1332,1333,1531,1535,1539,1570,1594,1607,
1617,1618,1626,1639,1680,1691,1708,1790,1791,1792,1793,1794,1795,1796,2086,
2087,2093,2096,2097,2099,2128,2129,2131,2134,2135,2136,2139,2140,2142,2143,
2147,2149,2157,2159,2160,2348,2376,2433,2532,2533,2535,2537,2539,2540,2541,
2542,2543,2544,2545,2546,2758,2787,2788,2794,2832,2833,2841,2850,2852,2941,
3152,3155,3158,3160,3163,3165,3166,3170,3171,3183,3184,3387,3474,3475,3476,
3605,3610,3613,3629,3631,3632,3634,3638,3646,3866,3868,3970,3972,4110,4111,
4117,4270],[1,4,5,6,7,8,20,25,31,32,34,35,38,39,41,42,46,93,98,117,118,119,120
,121,122,123,124,125,126,127,128,129,178,190,197,360,367,369,371,373,374,375,
376,377,378,379,380,383,384,385,388,389,399,400,401,402,403,404,409,411,568,
629,630,631,632,633,634,635,636,637,638,639,640,641,642,852,853,855,882,892,
893,895,902,908,909,910,927,1277,1295,1298,1299,1303,1304,1305,1306,1307,1308,
1310,1312,1313,1314,1315,1316,1318,1320,1321,1325,1327,1328,1329,1330,1331,
1332,1333,1542,1547,1561,1697,1790,1791,1792,1793,1794,1795,1796,2096,2129,
2134,2135,2157,2159,2160,2461,2532,2533,2537,2539,2540,2541,2542,2543,2544,
2545,2546,2755,2941,3160,3161,3183,3184,3394,3474,3475,3476,3608,3625,3635,
3868,3967,4114,4271],[1,4,5,6,7,8,20,25,31,32,34,35,38,39,41,42,46,93,97,117,
118,119,120,121,122,123,124,125,126,127,128,129,178,190,197,359,367,369,371,
373,374,375,376,377,378,379,380,383,384,385,388,389,399,400,401,402,403,404,
409,411,567,629,630,631,632,633,634,635,636,637,638,639,640,641,642,852,854,
856,882,892,893,895,902,908,909,910,927,1278,1295,1298,1299,1303,1304,1305,
1306,1307,1308,1310,1312,1313,1314,1315,1316,1318,1320,1321,1325,1327,1328,
1329,1330,1331,1332,1333,1542,1548,1560,1698,1790,1791,1792,1793,1794,1795,
1796,2096,2129,2134,2135,2157,2159,2160,2460,2532,2533,2537,2539,2540,2541,
2542,2543,2544,2545,2546,2754,2941,3160,3162,3183,3184,3395,3474,3475,3476,
3609,3626,3636,3868,3968,4113,4272],[1,2,3,4,5,6,7,8,9,15,16,17,19,20,23,30,31
,32,33,34,35,37,38,39,40,41,42,43,44,45,46,52,56,75,92,106,118,119,120,121,122
,123,124,125,126,127,128,129,139,141,142,145,153,154,156,158,163,164,165,166,
170,175,176,177,178,180,182,184,186,187,190,191,192,193,194,195,197,200,201,
203,204,205,209,210,275,367,368,369,371,372,373,374,375,376,377,378,379,380,
382,383,384,385,388,389,391,392,399,400,401,402,403,404,405,406,407,408,409,
411,412,413,449,455,457,467,471,480,484,487,488,489,491,496,497,499,502,511,
526,529,535,548,550,552,558,564,570,575,580,589,591,596,603,605,610,617,629,
630,631,632,633,634,635,636,637,638,639,640,641,642,857,858,859,860,861,862,
863,864,866,867,868,872,879,882,889,890,892,893,895,902,907,908,909,910,911,
912,913,914,916,917,920,921,922,923,924,925,926,927,929,931,932,933,934,939,
940,941,943,948,951,952,954,956,957,958,959,960,962,963,964,965,1087,1089,1166
,1175,1182,1215,1293,1295,1298,1299,1300,1303,1304,1305,1306,1307,1308,1309,
1310,1311,1312,1313,1314,1315,1316,1318,1320,1321,1324,1325,1326,1327,1328,
1329,1330,1331,1332,1333,1514,1515,1519,1520,1521,1522,1523,1524,1525,1526,
1527,1528,1551,1553,1555,1563,1567,1568,1572,1573,1574,1575,1583,1585,1588,
1589,1596,1597,1598,1599,1616,1621,1623,1631,1635,1646,1651,1652,1655,1657,
1659,1660,1661,1667,1668,1670,1671,1677,1679,1681,1683,1685,1686,1687,1688,
1692,1693,1694,1703,1706,1707,1790,1791,1792,1793,1794,1795,1796,2085,2096,
2101,2102,2103,2104,2105,2106,2107,2108,2110,2111,2112,2113,2114,2115,2117,
2119,2122,2123,2124,2125,2126,2129,2130,2134,2135,2150,2151,2152,2153,2154,
2155,2156,2157,2158,2159,2160,2161,2162,2323,2324,2334,2338,2339,2340,2341,
2375,2412,2431,2449,2451,2453,2532,2533,2534,2537,2538,2539,2540,2541,2542,
2543,2544,2545,2546,2771,2773,2774,2776,2778,2780,2781,2782,2786,2796,2798,
2799,2801,2802,2803,2804,2805,2814,2815,2817,2819,2826,2828,2829,2830,2831,
2843,2846,2847,2857,2858,2859,2860,2861,2862,2863,2864,2865,2866,2867,2868,
2870,2871,2941,3157,3160,3168,3169,3172,3173,3174,3175,3176,3177,3178,3179,
3180,3181,3182,3183,3184,3316,3339,3340,3369,3372,3373,3377,3397,3398,3399,
3474,3475,3476,3607,3618,3620,3627,3628,3637,3640,3641,3642,3643,3645,3648,
3649,3650,3651,3652,3865,3868,3958,3976,3977,4115,4116,4118,4273],[1,2,4,5,6,8
,9,10,11,12,13,22,24,29,31,40,41,42,46,48,49,50,51,57,73,74,78,82,96,100,101,
102,121,140,141,143,144,145,148,153,155,157,160,162,172,206,207,218,236,237,
238,257,258,259,316,386,388,409,439,440,442,446,447,448,450,451,501,503,508,
513,520,521,522,524,565,566,569,573,576,577,611,618,619,622,671,687,688,716,
717,865,867,873,946,1058,1059,1067,1070,1084,1217,1225,1226,1231,1232,1233,
1271,1335,1383,1388,1564,1571,1577,1579,1580,1644,1647,1689,1817,1818,1832,
1833,1845,1847,1907,1922,1925,1957,1958,2350,2394,2397,2547,2548,2549,2550,
2553,2591,2595,2616,3011,3012,3023,3082,3479,3480,3486,3546,3580,3978,4274],[1
,2,3,4,5,6,8,9,11,15,16,17,18,19,20,21,23,24,25,31,32,33,35,38,41,42,44,48,52,
56,60,67,75,78,83,84,85,86,88,92,93,105,106,111,116,117,121,139,144,145,148,
152,156,157,163,178,182,184,187,190,195,204,207,209,212,214,222,253,275,277,
301,306,311,333,349,353,357,362,363,364,365,379,384,388,439,440,442,449,451,
459,471,488,497,502,510,550,552,573,575,591,603,608,625,643,645,649,744,807,
837,838,842,845,846,866,873,892,1027,1031,1033,1042,1043,1064,1089,1093,1102,
1141,1166,1280,1342,1383,1507,1526,1567,1580,1588,1797,1799,1801,1804,1807,
1892,1940,1949,2045,2230,2302,2323,2548,2558,2564,2726,2946,3006,3185,3187,
3480,3482,3655,3663,3664,3870,3979,4121,4275],[1,2,4,5,6,8,9,10,11,12,13,14,19
,20,22,23,25,28,29,32,35,38,40,44,48,50,57,63,65,71,73,75,76,77,81,87,89,93,
103,107,108,110,121,139,140,141,143,145,147,148,153,155,156,159,173,174,180,
188,189,195,201,204,206,208,214,218,221,227,242,246,247,248,249,261,262,263,
265,267,281,286,288,289,331,339,350,351,379,386,387,439,440,442,445,446,447,
449,452,457,464,468,471,472,484,485,497,498,500,505,507,528,551,556,561,569,
574,593,595,607,609,643,644,648,695,698,703,742,764,773,801,802,810,865,866,
867,906,1033,1037,1039,1040,1041,1045,1046,1048,1059,1060,1072,1077,1078,1079,
1080,1083,1098,1103,1104,1117,1118,1119,1139,1142,1144,1168,1181,1339,1383,
1457,1518,1526,1527,1564,1566,1577,1592,1593,1602,1797,1798,1799,1801,1803,
1829,1830,1855,1858,1860,1863,1866,1867,1873,1874,1876,1884,1890,1891,1914,
1915,1918,1938,1939,1942,1948,1950,1954,2238,2295,2300,2332,2345,2346,2547,
2557,2565,2656,2660,2662,2946,2970,2971,2993,2995,3000,3004,3186,3479,3487,
3512,3516,3656,3657,3662,3873,3980,4120,4276],[1,2,4,6,7,9,10,11,12,13,14,19,
20,22,23,25,29,35,39,44,48,50,57,63,65,71,73,75,76,77,81,87,89,93,103,107,108,
110,124,140,141,142,146,150,151,156,159,188,189,195,204,208,214,218,221,227,
242,246,247,248,249,261,262,263,265,267,281,286,288,289,331,339,350,351,375,
393,439,441,443,446,447,452,457,462,467,470,473,497,498,505,507,551,561,574,
595,609,643,644,648,695,698,703,742,764,773,801,802,810,861,869,904,1033,1036,
1040,1045,1046,1048,1062,1063,1077,1079,1080,1098,1103,1104,1118,1119,1142,
1144,1181,1339,1384,1457,1522,1529,1569,1578,1595,1601,1797,1798,1800,1802,
1803,1827,1831,1860,1863,1866,1867,1873,1884,1890,1891,1915,1918,1938,1942,
1950,1954,2239,2296,2297,2347,2349,2547,2556,2565,2656,2662,2945,2968,2974,
2997,2999,3003,3186,3478,3488,3508,3514,3656,3657,3662,3874,3980,4122,4277],[1
,2,4,5,6,8,9,10,11,12,13,19,20,22,23,26,28,29,32,35,40,44,50,57,65,71,73,75,76
,77,87,107,108,118,120,121,130,132,136,139,140,141,143,144,145,147,153,155,156
,173,174,188,189,206,215,218,221,261,262,263,281,331,366,369,381,386,405,420,
428,429,445,446,449,452,500,505,528,551,569,629,650,742,848,849,857,865,866,
867,868,911,918,919,971,1039,1040,1041,1058,1060,1078,1079,1080,1083,1139,1294
,1343,1344,1356,1552,1562,1564,1584,1592,1606,1607,1873,1874,1948,2097,2103,
2179,2180,2185,2294,2295,2304,2567,2568,2770,2873,2875,2992,2993,3193,3317,
3674,3675,3681,3878,3981,4278],[1,2,4,5,6,7,8,9,10,11,12,13,19,20,22,23,26,28,
29,32,35,40,44,50,57,65,71,73,75,76,77,87,107,108,118,121,124,125,126,130,132,
136,139,140,141,142,145,146,148,151,153,156,159,173,174,188,189,208,216,218,
221,261,262,263,281,331,366,369,387,393,405,420,428,429,445,446,449,452,500,
505,507,528,551,574,631,651,742,848,849,861,862,864,866,867,869,911,918,919,
971,1039,1040,1045,1046,1059,1063,1078,1079,1080,1083,1142,1297,1343,1344,1358
,1552,1566,1569,1601,1602,1606,1607,1873,1874,1950,2099,2106,2179,2180,2189,
2297,2300,2304,2569,2570,2772,2873,2875,2995,2997,3193,3318,3677,3678,3681,
3879,3981,4279],[1,2,4,5,6,7,8,9,10,12,13,14,19,20,22,23,26,28,29,32,35,40,44,
50,63,65,71,73,75,76,77,81,108,110,118,121,124,125,126,130,132,136,139,140,143
,145,146,147,150,155,156,159,173,180,189,195,208,216,221,227,281,286,288,289,
339,366,369,387,393,405,423,429,433,445,446,449,452,500,505,556,561,574,631,
651,764,848,849,865,866,869,870,871,915,918,924,984,1040,1041,1048,1060,1062,
1072,1077,1078,1080,1144,1297,1343,1344,1357,1554,1566,1569,1593,1595,1607,
1609,1876,1884,1954,2099,2109,2179,2180,2187,2295,2296,2305,2569,2570,2775,
2877,2879,3000,3003,3193,3319,3676,3679,3681,3879,3982,4280],[1,2,4,5,6,8,9,10
,11,12,13,19,20,22,23,26,28,29,32,35,40,41,43,44,50,57,65,71,73,75,76,77,87,
107,108,118,120,121,130,132,136,139,140,141,143,153,154,155,156,157,158,160,
161,162,173,174,188,189,205,206,215,218,221,261,262,263,281,331,366,369,381,
383,386,390,405,407,408,420,428,429,445,446,449,452,500,505,506,507,522,523,
524,525,528,551,569,570,571,572,578,620,621,629,650,652,663,742,848,849,857,
865,911,913,914,918,919,938,942,944,945,971,1039,1040,1044,1045,1067,1068,1078
,1079,1080,1083,1137,1219,1220,1221,1223,1293,1294,1296,1343,1344,1360,1378,
1379,1552,1562,1563,1564,1565,1606,1607,1642,1643,1669,1673,1873,1874,1920,
2085,2097,2098,2120,2121,2179,2180,2195,2304,2307,2308,2388,2389,2390,2393,
2567,2568,2777,2820,2821,2873,2875,3014,3016,3193,3220,3221,3310,3681,3685,
3686,3878,3981,4129,4281],[1,2,4,5,6,8,9,10,12,13,19,22,23,24,26,28,29,32,35,
40,41,43,44,50,65,73,75,76,77,100,101,107,108,118,120,121,130,132,136,139,140,
141,143,153,155,158,160,162,173,189,199,200,205,206,207,208,209,210,215,237,
240,281,331,332,346,347,366,369,381,383,386,390,405,407,408,415,429,445,446,
449,452,500,505,506,507,522,523,569,570,571,572,586,592,618,619,620,621,629,
650,652,663,809,848,849,857,865,918,938,945,951,952,953,954,955,961,962,986,
1078,1080,1115,1116,1137,1138,1139,1140,1142,1143,1223,1229,1232,1234,1235,
1293,1294,1296,1343,1344,1363,1378,1562,1563,1564,1565,1607,1613,1614,1642,
1643,1699,1701,1912,1913,2026,2097,2098,2118,2119,2120,2179,2180,2225,2358,
2390,2393,2398,2399,2426,2427,2567,2568,2806,2808,2820,2880,2882,3083,3084,
3193,3220,3221,3365,3681,3705,3706,3878,3994,4129,4282],[1,2,4,5,6,8,9,10,12,
13,19,20,22,23,26,28,29,31,32,35,40,41,42,43,44,46,50,51,65,71,73,74,75,76,77,
101,108,118,120,121,130,132,136,139,140,141,143,153,155,158,159,160,161,162,
163,164,168,172,173,177,178,189,205,206,215,219,221,258,280,281,282,332,366,
369,380,381,383,386,387,388,389,390,405,407,408,409,414,429,445,446,448,449,
452,500,501,505,506,507,508,521,522,523,525,536,562,569,570,571,572,576,619,
621,629,650,652,663,743,848,849,857,865,876,877,882,884,915,916,918,929,930,
931,932,936,937,938,945,946,987,1041,1046,1050,1052,1066,1068,1069,1070,1078,
1080,1081,1082,1138,1222,1223,1224,1225,1293,1294,1296,1317,1318,1343,1344,
1361,1378,1535,1539,1562,1563,1564,1565,1571,1607,1617,1618,1642,1643,1644,
1672,1675,1875,1882,1921,2097,2098,2116,2117,2120,2136,2137,2139,2141,2166,
2167,2179,2180,2226,2309,2310,2376,2387,2390,2391,2392,2393,2394,2567,2568,
2820,2822,2823,2840,2841,2883,2886,3015,3017,3193,3214,3216,3220,3221,3362,
3665,3681,3712,3713,3878,3989,4129,4141,4283],[1,2,3,4,5,6,8,9,10,12,13,15,16,
17,19,20,21,22,23,26,28,29,30,32,33,35,37,40,41,43,44,45,50,52,55,56,62,65,68,
70,71,73,75,76,77,79,80,87,92,106,107,108,109,118,120,121,130,132,136,139,140,
141,143,153,155,158,160,162,166,170,173,174,175,176,179,180,181,182,183,185,
188,189,190,193,201,205,206,215,231,232,262,268,270,275,278,279,281,283,338,
366,369,372,381,382,383,386,390,391,392,405,407,408,416,429,445,446,449,452,
453,457,458,476,484,491,494,500,502,504,505,506,507,522,523,529,532,535,538,
544,546,554,559,560,569,570,571,572,584,589,600,605,616,621,629,650,652,663,
761,848,849,857,865,878,880,881,887,894,895,905,918,919,921,938,940,941,942,
943,944,945,994,1051,1053,1071,1073,1078,1080,1083,1085,1086,1089,1104,1105,
1127,1131,1146,1174,1175,1178,1199,1208,1223,1239,1249,1293,1294,1296,1300,
1343,1344,1353,1378,1515,1516,1536,1540,1562,1563,1564,1565,1585,1587,1607,
1626,1627,1632,1637,1642,1643,1881,1889,2000,2088,2090,2092,2095,2097,2098,
2120,2121,2122,2168,2169,2179,2180,2219,2314,2316,2334,2336,2380,2390,2393,
2402,2408,2417,2419,2567,2568,2759,2763,2766,2768,2820,2887,2891,3033,3042,
3193,3202,3203,3220,3221,3358,3666,3681,3708,3710,3878,3990,4126,4129,4284],[1
,2,3,4,5,6,8,9,10,12,13,14,15,16,17,19,22,23,26,28,29,30,31,32,33,34,35,37,40,
41,42,43,44,45,50,51,52,54,55,62,63,64,65,73,74,75,76,77,79,80,81,101,108,109,
110,118,120,121,130,132,136,139,140,141,143,153,155,158,160,162,165,168,169,
170,171,172,173,174,175,176,179,180,184,185,186,187,189,191,199,201,205,206,
215,228,229,258,281,283,284,285,286,287,290,340,366,367,369,372,380,381,382,
383,384,385,386,390,391,392,405,407,408,414,416,429,445,446,447,448,449,452,
453,454,457,458,474,475,476,477,479,482,483,484,500,501,502,504,505,506,507,
522,523,528,529,531,532,533,536,537,538,539,541,549,557,569,570,571,572,583,
584,585,586,597,598,599,600,613,621,629,650,652,663,767,848,849,857,865,876,
877,878,879,880,881,883,886,887,888,918,922,933,934,938,939,945,997,1047,1049,
1069,1070,1071,1072,1073,1074,1075,1076,1078,1080,1095,1098,1123,1130,1145,
1146,1147,1148,1149,1150,1151,1156,1202,1212,1223,1240,1253,1293,1294,1295,
1296,1300,1343,1344,1351,1353,1378,1512,1513,1515,1516,1535,1536,1537,1538,
1562,1563,1564,1565,1584,1585,1586,1587,1607,1620,1628,1630,1642,1643,1877,
1887,2005,2086,2087,2090,2091,2092,2097,2098,2120,2123,2166,2167,2168,2169,
2179,2180,2220,2311,2312,2313,2314,2315,2316,2317,2318,2384,2390,2393,2404,
2407,2413,2415,2567,2568,2758,2759,2760,2761,2765,2767,2820,2888,2890,3036,
3044,3193,3199,3200,3202,3203,3220,3221,3361,3665,3666,3681,3707,3709,3878,
3991,4125,4126,4129,4285],[1,2,4,5,6,8,9,10,12,13,19,22,23,25,26,28,29,32,35,
40,41,43,44,50,65,73,75,76,77,103,107,108,110,118,120,121,130,132,136,139,140,
141,143,153,155,158,160,162,173,189,199,201,202,203,204,205,206,208,215,247,
249,281,331,339,350,351,366,369,381,383,386,390,405,407,408,429,436,438,445,
446,449,452,500,505,506,507,522,523,569,570,571,572,593,595,612,613,615,616,
621,629,650,652,663,810,848,849,852,857,865,918,938,945,953,955,958,959,960,
961,1011,1078,1080,1117,1118,1119,1120,1139,1144,1183,1184,1187,1188,1193,1194
,1223,1293,1294,1296,1343,1344,1373,1378,1381,1562,1563,1564,1565,1607,1608,
1642,1643,1680,1704,1705,1914,1915,2027,2097,2098,2101,2118,2120,2148,2179,
2180,2222,2390,2393,2400,2401,2424,2425,2428,2567,2568,2795,2810,2820,2902,
2903,3085,3086,3193,3220,3221,3331,3681,3700,3701,3878,4018,4129,4286],[1,2,4,
5,6,8,9,10,12,13,14,19,20,22,23,26,28,29,32,35,38,40,41,43,44,50,63,65,71,73,
75,76,77,81,108,110,118,120,121,130,132,136,139,140,141,143,153,155,158,159,
160,162,168,171,173,174,179,180,189,190,194,195,201,205,206,215,221,227,281,
286,288,289,339,366,369,378,379,381,383,386,387,390,405,407,408,423,429,433,
445,446,449,452,457,464,477,478,484,485,500,505,506,507,522,523,528,540,541,
556,557,559,560,561,569,570,571,572,585,593,599,607,615,621,629,650,652,656,
660,663,764,848,849,857,865,881,884,903,906,915,918,924,925,926,930,937,938,
945,984,1041,1048,1072,1077,1078,1080,1096,1103,1124,1126,1151,1153,1155,1168,
1210,1213,1223,1241,1251,1293,1294,1296,1305,1317,1343,1344,1366,1370,1374,
1376,1378,1515,1518,1554,1562,1563,1564,1565,1584,1593,1607,1609,1629,1634,
1642,1643,1876,1884,2004,2097,2098,2110,2116,2120,2127,2128,2147,2179,2180,
2216,2305,2315,2321,2330,2332,2390,2393,2403,2405,2414,2418,2567,2568,2809,
2816,2820,2850,2851,2877,2879,3034,3045,3193,3208,3210,3220,3221,3363,3681,
3702,3703,3878,3982,4129,4132,4287],[1,2,4,5,6,8,9,10,11,12,13,19,20,22,23,26,
28,29,32,35,38,40,41,44,50,57,65,71,73,75,76,77,87,107,108,118,120,121,130,132
,136,139,141,144,145,148,153,155,156,157,160,162,168,173,174,179,180,188,189,
190,195,199,201,204,206,215,216,218,221,261,262,263,281,331,366,369,378,379,
381,383,386,387,405,420,423,428,429,433,436,438,445,447,449,457,471,474,482,
483,484,485,494,497,500,507,522,524,528,551,556,557,559,560,569,593,607,613,
616,629,650,651,652,656,658,660,661,663,742,857,866,867,868,873,881,884,906,
911,918,919,924,930,942,945,955,958,971,984,1007,1011,1017,1021,1022,1038,1039
,1041,1045,1058,1059,1067,1078,1083,1098,1104,1126,1139,1168,1183,1202,1206,
1207,1208,1294,1305,1317,1343,1356,1358,1360,1366,1370,1371,1373,1374,1376,
1378,1379,1381,1512,1515,1526,1527,1528,1552,1562,1577,1584,1592,1602,1629,
1642,1654,1658,1669,1685,1691,1704,1778,1810,1811,1812,1874,1891,1944,1948,
2103,2128,2179,2185,2189,2195,2197,2201,2202,2207,2215,2216,2218,2222,2223,
2224,2294,2300,2301,2307,2330,2346,2350,2400,2407,2408,2418,2446,2567,2569,
2573,2580,2770,2783,2799,2845,2873,2877,2902,2922,2928,2938,2990,2992,3004,
3070,3208,3211,3221,3226,3231,3232,3308,3371,3434,3490,3674,3677,3685,3701,
3703,3715,3777,3883,4008,4015,4023,4135,4288],[1,2,4,5,6,7,8,9,10,12,13,14,19,
20,22,23,26,28,29,32,35,38,39,40,41,43,44,50,63,65,71,73,75,76,77,81,108,110,
118,121,124,125,126,130,132,136,139,140,141,142,143,145,146,147,151,153,154,
155,156,158,159,160,161,162,168,171,173,179,180,188,189,194,195,199,201,203,
204,208,215,216,221,227,281,286,288,289,339,366,369,375,376,377,379,386,387,
390,393,405,408,420,423,428,429,433,436,438,445,447,449,457,467,471,474,478,
482,483,484,496,497,498,500,505,506,507,522,523,525,540,541,551,556,557,561,
574,595,609,613,615,631,650,651,652,656,658,660,661,663,764,857,860,861,862,
863,865,866,869,870,871,874,903,904,906,914,915,918,924,926,937,938,944,953,
960,971,984,1007,1011,1017,1021,1022,1038,1040,1041,1044,1046,1048,1060,1063,
1068,1072,1078,1098,1103,1124,1144,1181,1184,1202,1211,1213,1214,1297,1307,
1319,1344,1356,1358,1360,1366,1370,1371,1373,1374,1376,1378,1379,1381,1512,
1515,1519,1522,1523,1525,1526,1554,1566,1578,1592,1593,1595,1601,1634,1642,
1643,1656,1664,1673,1687,1690,1705,1778,1810,1811,1812,1876,1890,1946,1954,
2105,2109,2131,2180,2185,2189,2195,2197,2201,2202,2207,2215,2216,2218,2222,
2223,2224,2295,2297,2298,2299,2308,2309,2345,2349,2351,2401,2403,2407,2414,
2454,2568,2570,2573,2580,2775,2779,2803,2849,2875,2879,2903,2922,2928,2938,
2989,2999,3000,3068,3210,3212,3220,3226,3231,3232,3309,3376,3436,3491,3675,
3678,3686,3700,3702,3715,3779,3884,4012,4016,4024,4136,4289],[1,2,4,5,6,8,9,10
,12,13,19,22,23,25,26,28,29,32,35,38,40,41,43,44,50,65,73,75,76,77,103,107,108
,110,118,120,121,130,132,136,139,141,145,153,155,156,159,160,168,173,174,179,
180,188,189,194,195,201,204,205,206,208,215,216,247,249,281,331,339,350,351,
366,369,378,379,381,383,386,387,390,405,407,408,414,416,417,429,436,438,445,
449,457,471,484,485,497,498,500,528,551,556,557,561,569,574,585,593,595,607,
609,615,621,629,650,651,656,658,660,661,810,848,849,852,857,866,867,868,881,
884,903,906,911,915,918,919,924,925,926,930,937,938,945,958,961,990,997,1011,
1038,1078,1117,1139,1168,1181,1241,1293,1294,1296,1305,1317,1343,1353,1354,
1361,1362,1366,1371,1515,1526,1527,1528,1552,1554,1562,1566,1584,1592,1606,
1607,1608,1609,1629,1634,1678,1680,1682,1684,1685,1783,1810,1811,1812,1914,
2097,2098,2103,2110,2116,2120,2127,2128,2147,2166,2168,2179,2211,2212,2304,
2305,2330,2345,2428,2429,2430,2438,2439,2567,2569,2574,2575,2580,2581,2582,
2585,2770,2799,2809,2811,2816,2820,2850,2851,2881,2888,2902,3106,3203,3205,
3208,3211,3214,3215,3223,3233,3236,3317,3328,3336,3363,3448,3490,3690,3693,
3722,3798,3881,3882,3883,4130,4134,4143,4290],[1,2,3,4,5,6,7,8,9,10,12,13,15,
16,17,19,20,21,22,23,26,29,30,31,32,33,34,35,37,40,41,42,43,44,45,46,50,52,55,
65,68,70,71,74,79,80,81,92,107,108,118,121,124,125,126,130,132,136,139,140,141
,142,143,145,146,147,151,153,154,155,156,158,159,160,161,162,165,166,170,172,
174,175,176,181,182,183,184,185,186,187,188,189,191,193,199,201,206,215,216,
221,232,268,270,272,287,331,367,372,383,384,386,388,390,391,393,401,402,405,
408,409,414,416,420,428,429,448,453,454,458,475,476,477,479,491,500,502,505,
506,507,511,522,523,525,526,529,532,544,546,549,551,552,553,554,555,558,576,
613,616,631,650,651,652,663,757,857,860,861,862,863,865,866,869,870,871,874,
883,886,887,888,905,914,915,921,922,933,938,940,942,944,946,955,971,994,997,
1038,1040,1041,1044,1046,1051,1060,1063,1068,1076,1085,1095,1105,1127,1134,
1139,1183,1198,1199,1201,1212,1303,1319,1320,1344,1351,1353,1356,1358,1360,
1361,1378,1379,1513,1516,1553,1570,1571,1585,1588,1592,1596,1599,1601,1620,
1636,1637,1638,1642,1643,1646,1665,1670,1673,1752,1810,1878,1896,1943,1955,
2105,2109,2143,2167,2169,2180,2185,2189,2195,2219,2220,2295,2297,2298,2299,
2308,2309,2351,2356,2400,2402,2404,2417,2421,2568,2570,2573,2588,2773,2784,
2846,2849,2875,2890,2891,2917,2929,2988,2998,3001,3071,3200,3202,3216,3220,
3231,3309,3350,3424,3491,3675,3678,3686,3708,3709,3717,3778,3887,4002,4007,
4136,4291],[1,2,4,5,6,8,9,10,11,12,13,19,20,22,23,26,28,29,32,35,40,41,44,50,
57,65,71,73,75,76,77,87,107,108,118,120,121,130,132,136,139,141,144,145,148,
153,155,156,157,160,162,168,173,174,179,180,188,189,190,199,201,206,215,216,
218,221,261,262,263,281,331,366,369,381,383,386,387,405,414,416,420,428,429,
445,447,449,457,474,482,483,484,494,500,507,522,524,528,551,557,559,560,569,
613,616,629,650,651,652,663,742,857,866,867,868,873,876,880,881,895,911,918,
919,930,942,945,955,971,994,997,1038,1039,1041,1045,1058,1059,1067,1078,1083,
1098,1104,1126,1139,1183,1202,1206,1207,1208,1294,1317,1343,1351,1353,1356,
1358,1360,1361,1378,1379,1512,1515,1552,1562,1577,1584,1592,1602,1626,1627,
1628,1642,1658,1669,1752,1810,1874,1891,1944,1948,2103,2136,2166,2168,2179,
2185,2189,2195,2219,2220,2294,2300,2301,2307,2350,2354,2400,2407,2408,2418,
2567,2569,2573,2588,2770,2783,2845,2873,2887,2888,2917,2929,2990,2992,3004,
3070,3199,3203,3214,3221,3231,3308,3347,3417,3490,3674,3677,3685,3707,3710,
3717,3777,3886,4001,4004,4135,4292],[1,2,4,5,6,8,9,10,12,13,19,20,22,23,26,28,
29,31,32,34,35,38,40,41,42,44,46,50,51,65,71,73,74,75,76,77,101,108,118,120,
121,130,132,136,139,140,141,143,153,155,160,162,163,168,172,173,174,177,178,
179,180,189,190,197,199,201,206,215,219,221,258,280,281,282,332,366,367,369,
378,379,380,381,384,385,386,387,388,389,405,409,414,429,445,446,447,448,449,
452,454,457,464,474,479,482,483,484,485,500,501,505,507,508,521,522,528,536,
556,557,559,560,562,569,576,586,593,597,607,613,619,629,650,656,660,743,848,
849,857,865,876,877,882,883,884,891,892,893,906,918,927,929,930,946,947,987,
1041,1050,1069,1070,1078,1080,1081,1082,1098,1111,1125,1126,1156,1167,1168,
1169,1202,1203,1225,1243,1254,1294,1295,1305,1317,1318,1343,1344,1351,1361,
1366,1512,1513,1515,1518,1535,1539,1562,1564,1571,1584,1586,1593,1607,1617,
1618,1639,1642,1644,1875,1882,2009,2086,2087,2097,2128,2129,2136,2139,2140,
2147,2166,2167,2179,2180,2208,2311,2312,2330,2331,2332,2333,2376,2387,2394,
2407,2409,2418,2420,2567,2568,2758,2787,2788,2832,2833,2841,2850,2883,2886,
3047,3048,3193,3199,3200,3208,3210,3214,3216,3387,3665,3681,3687,3692,3878,
3989,4125,4132,4141,4293],[1,2,3,4,5,6,8,9,10,12,13,14,15,16,17,19,22,23,26,28
,29,30,31,32,33,35,37,38,40,41,42,44,45,46,50,51,52,54,55,62,63,64,65,73,74,75
,76,77,79,80,81,101,108,109,110,118,120,121,130,132,136,139,140,141,143,153,
155,160,162,165,168,169,170,171,172,173,174,175,176,179,180,184,185,186,187,
189,192,195,201,206,215,228,229,258,281,283,284,285,286,287,290,340,366,369,
372,378,379,380,381,382,383,386,387,388,389,390,391,392,405,409,414,416,429,
445,446,448,449,452,453,457,458,464,476,478,484,485,500,501,502,504,505,507,
508,521,522,528,529,531,532,533,538,539,540,549,556,557,569,576,584,593,600,
607,615,619,629,650,656,660,767,848,849,857,865,876,877,878,879,880,881,884,
885,887,889,890,903,906,918,923,924,930,935,939,945,946,997,1047,1049,1069,
1070,1071,1072,1073,1074,1075,1076,1078,1080,1097,1103,1122,1130,1146,1152,
1154,1168,1209,1213,1225,1242,1252,1294,1296,1300,1305,1317,1318,1343,1344,
1353,1361,1366,1515,1516,1518,1535,1536,1537,1538,1562,1564,1571,1584,1585,
1587,1593,1607,1625,1628,1629,1630,1642,1644,1877,1887,2008,2090,2092,2097,
2127,2128,2130,2136,2138,2139,2141,2147,2166,2167,2168,2169,2179,2180,2211,
2314,2316,2319,2320,2330,2332,2384,2387,2394,2403,2406,2413,2416,2567,2568,
2759,2789,2791,2834,2835,2841,2850,2888,2890,3040,3046,3193,3202,3203,3208,
3210,3214,3216,3385,3665,3666,3681,3690,3691,3878,3991,4126,4132,4141,4294],[1
,2,3,4,5,6,7,8,9,10,12,13,15,16,17,19,20,21,22,23,26,28,29,31,32,33,34,35,36,
38,39,40,41,42,44,45,46,47,50,52,55,56,62,65,68,70,71,73,75,76,77,79,80,87,92,
106,107,108,109,118,121,124,125,126,130,132,136,139,140,145,146,156,159,162,
163,165,166,172,173,174,177,178,179,182,183,184,185,186,187,188,189,190,195,
197,198,200,204,208,209,216,231,232,262,268,270,275,278,279,281,283,338,366,
367,369,370,375,376,377,379,382,383,384,386,387,388,393,394,397,398,401,402,
405,409,410,416,429,445,446,449,452,453,455,461,470,471,480,481,486,487,488,
489,497,498,500,502,504,505,511,514,526,527,547,548,549,550,551,552,553,554,
555,560,561,562,574,575,581,582,590,591,592,595,602,603,604,609,617,623,631,
651,658,661,761,848,849,866,869,878,880,883,891,892,894,895,897,898,901,904,
906,910,918,927,928,942,943,946,947,949,994,1051,1053,1071,1073,1078,1080,1083
,1085,1086,1087,1089,1113,1134,1135,1160,1161,1162,1163,1164,1165,1166,1181,
1215,1216,1227,1245,1256,1297,1302,1303,1307,1319,1320,1322,1343,1344,1352,
1364,1371,1514,1517,1526,1529,1536,1540,1566,1567,1569,1581,1588,1590,1592,
1595,1607,1626,1632,1639,1640,1645,1646,1881,1889,2011,2093,2094,2099,2131,
2132,2134,2142,2143,2144,2145,2149,2168,2169,2179,2180,2213,2322,2323,2325,
2326,2327,2329,2345,2347,2380,2395,2396,2410,2412,2421,2422,2569,2570,2762,
2793,2794,2838,2839,2842,2852,2887,2891,3049,3050,3193,3201,3204,3211,3212,
3217,3218,3388,3666,3681,3694,3696,3879,3990,4127,4133,4142,4295],[1,2,3,4,5,6
,8,9,10,12,13,15,16,17,21,22,23,25,26,28,29,30,31,32,33,35,37,38,40,41,42,44,
45,46,50,51,52,55,68,70,73,74,77,79,91,101,103,110,118,120,121,130,131,132,135
,136,139,141,145,153,155,156,162,165,166,168,169,172,173,174,175,176,182,183,
184,185,186,187,188,189,192,199,201,205,206,215,216,232,244,245,247,258,264,
284,366,369,372,378,379,380,381,382,386,387,388,389,391,392,405,409,414,417,
424,425,429,430,431,445,447,474,476,479,482,500,502,511,526,528,533,536,549,
551,552,553,554,555,569,571,585,586,597,598,629,650,651,653,655,656,658,659,
660,661,664,701,849,852,857,866,867,868,876,877,878,879,884,885,887,889,890,
894,906,911,918,919,923,930,935,939,943,946,955,978,987,990,1038,1051,1069,
1117,1134,1148,1156,1294,1300,1305,1317,1318,1343,1351,1361,1366,1367,1368,
1369,1371,1375,1377,1380,1512,1538,1539,1541,1552,1562,1577,1584,1588,1589,
1592,1608,1609,1613,1617,1625,1630,1632,1633,1646,1648,1658,1668,1723,1810,
1811,1812,1813,1815,1857,2086,2090,2098,2103,2128,2130,2136,2138,2139,2147,
2166,2178,2179,2208,2217,2311,2355,2362,2363,2370,2379,2382,2421,2439,2567,
2569,2576,2578,2580,2584,2585,2586,2588,2760,2770,2783,2787,2789,2833,2834,
2840,2843,2851,2878,2881,2883,3096,3199,3208,3209,3211,3214,3222,3223,3229,
3234,3311,3328,3348,3386,3406,3490,3687,3704,3718,3786,3883,3886,3890,4134,
4138,4145,4296],[1,2,4,5,6,8,9,10,12,13,19,20,23,25,26,28,29,31,32,34,35,38,40
,41,42,44,46,50,65,71,75,77,81,87,93,103,107,110,118,120,121,130,132,136,139,
141,145,153,155,156,160,162,163,168,172,173,174,177,178,179,180,188,189,190,
195,197,200,201,205,209,215,216,221,247,248,249,262,267,288,366,367,369,378,
379,380,381,383,384,385,386,387,388,389,390,405,409,416,417,423,429,433,449,
455,478,480,481,485,500,507,522,528,551,556,557,559,560,562,571,575,585,592,
599,604,629,650,651,652,656,658,660,661,663,703,849,852,857,866,867,868,876,
877,880,881,882,883,884,891,892,893,895,903,906,911,918,919,924,927,929,930,
942,945,946,947,954,984,990,994,1038,1041,1083,1117,1126,1153,1160,1294,1295,
1296,1305,1317,1318,1343,1352,1364,1366,1370,1371,1374,1376,1378,1514,1537,
1539,1542,1552,1567,1568,1584,1592,1602,1608,1609,1614,1618,1626,1627,1628,
1629,1639,1642,1653,1659,1669,1725,1810,1811,1812,1814,1816,1858,2087,2092,
2098,2103,2127,2128,2129,2136,2139,2140,2141,2147,2168,2179,2213,2216,2329,
2354,2364,2365,2369,2378,2383,2418,2439,2567,2569,2577,2579,2580,2583,2585,
2587,2589,2761,2770,2782,2788,2791,2832,2835,2840,2845,2851,2877,2881,2887,
3099,3201,3208,3211,3217,3221,3223,3230,3235,3312,3328,3347,3384,3408,3490,
3694,3703,3719,3787,3883,3885,3889,4134,4137,4144,4297],[1,2,4,5,6,8,9,10,11,
12,13,22,24,26,28,29,32,40,41,44,50,51,57,73,74,82,100,101,118,120,121,130,132
,136,139,141,144,145,148,153,155,156,157,159,160,162,168,173,174,199,206,207,
208,215,216,218,236,237,257,258,366,381,383,386,387,405,414,415,420,428,429,
445,447,450,474,479,500,507,521,522,524,528,536,569,574,576,577,586,597,618,
619,629,650,651,652,663,688,857,866,867,868,873,876,911,915,930,942,945,955,
961,971,986,987,1038,1039,1045,1058,1059,1067,1069,1115,1156,1217,1225,1231,
1232,1294,1317,1343,1351,1356,1358,1360,1361,1363,1378,1379,1512,1562,1566,
1577,1579,1584,1602,1642,1658,1665,1669,1672,1678,1699,1708,1721,1810,1818,
1851,1925,2103,2136,2166,2179,2185,2189,2195,2225,2226,2294,2300,2301,2307,
2311,2350,2387,2398,2465,2567,2569,2573,2588,2783,2811,2845,2873,2880,2883,
2895,2939,2965,3012,3053,3199,3214,3221,3231,3308,3378,3404,3490,3674,3677,
3685,3705,3713,3716,3757,3886,3983,4025,4135,4298],[1,2,4,5,6,7,8,9,10,12,13,
19,20,22,23,24,26,29,31,32,34,35,40,41,42,43,44,46,50,65,71,74,75,76,87,88,100
,101,107,118,121,124,125,126,130,132,136,139,140,141,142,143,145,146,147,151,
153,154,155,156,158,159,160,161,162,163,164,172,174,177,178,188,189,199,200,
205,206,207,209,210,215,216,221,237,240,241,260,262,282,367,383,384,386,388,
390,393,401,402,405,408,409,414,415,420,428,429,448,449,454,455,456,479,480,
481,500,505,506,507,522,523,525,551,562,570,572,575,576,578,579,580,592,604,
618,619,620,631,650,651,652,663,690,857,860,861,862,863,865,866,869,870,871,
874,883,914,915,916,931,936,938,942,944,946,951,955,962,971,986,987,1038,1040,
1041,1044,1046,1060,1063,1068,1081,1083,1115,1116,1160,1218,1221,1222,1229,
1230,1232,1303,1319,1320,1344,1351,1356,1358,1360,1361,1363,1378,1379,1513,
1514,1563,1567,1570,1571,1572,1575,1576,1592,1601,1642,1643,1660,1663,1665,
1673,1675,1679,1701,1710,1721,1810,1826,1852,1853,1924,2105,2109,2143,2167,
2180,2185,2189,2195,2225,2226,2295,2297,2298,2299,2308,2309,2329,2351,2389,
2391,2398,2399,2464,2568,2570,2573,2588,2780,2784,2814,2849,2875,2882,2886,
2895,2939,2967,3013,3052,3055,3200,3216,3220,3231,3309,3379,3409,3491,3675,
3678,3686,3706,3712,3716,3758,3887,3985,4026,4136,4299],[1,2,3,4,5,6,8,9,10,12
,13,15,16,17,19,20,21,22,23,26,28,29,30,31,32,33,34,35,37,38,40,41,42,43,44,45
,46,50,52,55,56,62,65,68,70,71,73,75,76,77,79,80,87,92,106,107,108,109,118,120
,121,130,131,132,135,136,139,141,145,153,155,156,158,159,160,161,162,163,164,
165,166,168,169,170,172,173,174,175,176,177,178,179,180,182,183,184,185,186,
187,188,189,190,191,192,194,195,197,200,201,204,206,208,209,215,216,231,232,
262,268,270,275,278,279,281,283,338,366,367,369,372,378,379,380,381,382,383,
384,385,386,387,388,389,390,391,392,405,407,408,409,414,416,424,425,429,430,
431,445,449,455,457,471,480,481,484,485,486,487,488,489,497,498,500,502,511,
525,526,527,528,532,533,534,535,537,547,548,549,550,551,552,553,554,555,556,
557,560,561,562,564,569,574,575,581,582,590,591,592,593,595,602,603,604,607,
609,617,623,629,650,651,653,655,656,658,659,660,661,664,761,857,866,867,868,
877,878,879,881,882,883,884,885,886,887,888,889,890,891,892,893,894,903,906,
911,915,916,918,919,922,923,924,925,926,927,929,930,931,932,933,934,935,936,
937,938,939,943,945,946,947,954,958,961,978,988,993,994,997,1038,1051,1071,
1078,1083,1087,1089,1133,1134,1135,1160,1161,1162,1163,1164,1165,1166,1168,
1181,1215,1216,1227,1245,1256,1293,1294,1295,1296,1300,1305,1317,1318,1343,
1352,1353,1354,1361,1362,1364,1366,1367,1368,1369,1371,1375,1377,1380,1514,
1515,1526,1527,1528,1552,1554,1555,1562,1566,1567,1568,1584,1588,1589,1592,
1614,1618,1619,1620,1621,1622,1623,1624,1625,1629,1630,1631,1632,1633,1634,
1639,1646,1653,1655,1659,1666,1668,1674,1675,1676,1678,1680,1682,1684,1685,
1694,1702,1703,1709,1761,1810,1811,1812,1813,1815,1889,2011,2087,2090,2091,
2103,2110,2116,2117,2120,2123,2127,2128,2129,2130,2137,2138,2139,2140,2166,
2168,2178,2179,2209,2210,2211,2212,2213,2217,2221,2227,2322,2323,2324,2329,
2330,2345,2353,2355,2357,2369,2374,2395,2412,2421,2430,2432,2435,2445,2452,
2453,2462,2567,2569,2574,2575,2576,2578,2580,2584,2586,2589,2767,2770,2782,
2788,2789,2790,2799,2811,2816,2817,2823,2824,2843,2878,2884,2887,2888,2889,
2936,3050,3102,3201,3203,3205,3208,3209,3211,3214,3215,3217,3222,3230,3233,
3234,3238,3240,3312,3322,3336,3348,3377,3382,3422,3490,3688,3689,3690,3693,
3694,3704,3711,3714,3723,3783,3881,3882,3883,3885,3890,4022,4137,4143,4145,
4146,4148,4300],[1,2,4,5,6,8,9,10,12,13,19,20,22,23,26,28,29,32,35,38,40,41,43
,44,50,51,65,71,73,74,75,76,77,101,108,118,120,121,130,132,136,139,141,145,153
,155,156,159,160,162,168,173,174,179,180,188,189,190,194,195,199,201,204,206,
208,215,216,219,221,258,280,281,282,332,366,369,378,379,381,383,386,387,390,
405,407,408,414,416,423,429,433,445,447,449,457,471,474,479,482,483,484,485,
497,498,500,507,521,522,528,536,551,556,557,559,560,561,569,574,576,586,593,
595,597,607,609,613,619,629,650,651,652,656,658,660,661,663,743,857,866,867,
868,876,880,881,884,895,903,906,911,915,918,919,924,925,926,930,937,938,942,
945,955,958,961,984,987,997,1038,1041,1069,1078,1098,1125,1126,1156,1167,1168,
1169,1181,1202,1203,1225,1243,1254,1293,1294,1296,1305,1317,1343,1351,1353,
1354,1361,1362,1366,1370,1371,1374,1376,1378,1512,1515,1526,1527,1528,1552,
1554,1562,1566,1577,1584,1592,1602,1613,1617,1626,1627,1628,1629,1634,1642,
1648,1654,1658,1665,1669,1672,1678,1680,1682,1684,1685,1691,1699,1704,1708,
1753,1810,1811,1812,1814,1816,1875,2009,2086,2092,2103,2110,2116,2120,2127,
2128,2136,2141,2166,2168,2179,2208,2211,2212,2216,2220,2226,2311,2330,2345,
2346,2352,2354,2370,2373,2387,2407,2418,2430,2433,2436,2444,2446,2447,2465,
2567,2569,2574,2575,2577,2579,2580,2583,2587,2588,2765,2770,2783,2787,2791,
2799,2811,2816,2822,2845,2877,2883,2888,2935,3047,3103,3199,3203,3205,3208,
3211,3214,3215,3221,3229,3233,3235,3237,3239,3311,3321,3336,3347,3371,3378,
3420,3490,3687,3690,3693,3703,3707,3713,3724,3782,3881,3882,3883,3886,3889,
4020,4138,4143,4144,4147,4149,4301],[1,2,3,4,5,6,8,9,10,12,13,15,16,17,19,20,
21,22,23,26,28,29,30,31,32,33,35,37,38,40,41,42,44,45,46,50,52,55,65,68,70,71,
74,79,80,81,92,107,108,118,120,121,130,131,132,135,136,139,141,145,153,155,156
,160,162,165,166,168,169,172,173,174,175,176,179,180,182,183,184,185,186,187,
188,189,190,192,195,201,206,215,216,221,232,268,270,272,287,331,366,369,372,
378,379,380,381,382,383,386,387,388,389,390,391,392,405,409,423,424,425,429,
430,431,433,436,438,476,478,500,502,507,511,522,526,528,533,549,551,552,553,
554,555,556,557,559,560,576,593,600,629,650,651,652,653,655,656,658,659,660,
661,663,664,757,848,849,857,866,867,868,876,877,878,879,880,881,884,885,887,
889,890,894,895,903,906,911,918,919,923,924,930,935,939,942,943,945,946,978,
984,1006,1011,1016,1019,1020,1038,1041,1051,1126,1134,1139,1152,1294,1296,1300
,1305,1317,1318,1343,1366,1367,1368,1369,1370,1371,1374,1375,1376,1377,1378,
1380,1535,1536,1537,1538,1540,1552,1584,1588,1589,1592,1602,1606,1607,1625,
1626,1627,1628,1629,1630,1632,1633,1642,1646,1668,1669,1777,1810,1811,1812,
1813,1814,1815,1816,1955,2090,2092,2097,2103,2127,2128,2130,2136,2138,2139,
2141,2147,2178,2179,2216,2217,2304,2354,2355,2377,2380,2381,2384,2418,2421,
2567,2569,2576,2577,2578,2579,2580,2581,2582,2583,2584,2586,2587,2759,2770,
2789,2791,2834,2835,2841,2843,2845,2850,2877,2878,2902,3024,3208,3209,3211,
3221,3222,3224,3225,3227,3228,3234,3235,3236,3317,3347,3348,3385,3433,3490,
3703,3704,3721,3793,3883,3889,3890,4130,4144,4145,4302],[1,2,4,5,6,8,9,10,12,
13,19,20,22,23,26,28,29,31,32,34,35,38,40,41,42,44,46,50,51,71,73,74,75,77,87,
101,107,108,118,120,121,130,132,136,139,141,145,153,155,156,162,163,168,172,
173,174,177,178,179,188,189,190,197,199,200,201,206,209,215,216,239,241,258,
262,280,331,347,366,367,369,378,379,380,381,384,385,386,387,388,389,405,409,
414,416,429,436,438,445,447,449,455,474,479,480,481,482,485,500,528,536,551,
560,562,569,575,576,586,592,593,597,604,629,650,651,656,658,660,661,799,848,
849,857,866,867,868,876,877,882,883,884,891,892,893,906,911,918,919,927,929,
930,946,947,954,955,987,994,1011,1038,1069,1083,1139,1156,1160,1169,1294,1295,
1305,1317,1318,1343,1351,1352,1361,1364,1366,1371,1512,1514,1535,1539,1552,
1562,1567,1568,1577,1584,1592,1606,1607,1613,1614,1617,1618,1639,1648,1653,
1658,1659,1781,1810,1811,1812,1934,2086,2087,2097,2103,2128,2129,2136,2139,
2140,2147,2166,2168,2179,2208,2213,2304,2311,2329,2358,2360,2361,2369,2370,
2376,2567,2569,2580,2581,2582,2588,2589,2758,2770,2782,2783,2787,2788,2832,
2833,2841,2850,2883,2887,2902,3026,3199,3201,3208,3211,3214,3217,3229,3230,
3236,3311,3312,3317,3387,3439,3490,3687,3694,3720,3764,3883,3885,3886,4130,
4137,4138,4303],[1,2,3,4,5,6,7,8,10,12,13,16,19,20,21,22,23,26,28,29,31,32,33,
34,35,36,38,39,40,41,42,44,45,46,47,65,68,71,74,76,79,80,92,101,107,108,110,
118,121,124,125,126,130,132,136,140,143,146,155,159,162,163,166,172,173,174,
177,178,179,180,182,183,185,189,190,195,197,198,199,200,204,206,208,209,215,
216,245,248,268,270,282,339,347,366,367,369,370,375,376,377,379,382,383,384,
386,387,388,393,394,397,398,401,402,405,409,410,414,416,429,436,438,448,453,
454,461,479,483,486,487,488,489,505,554,556,560,561,562,576,581,582,586,592,
595,602,603,607,631,650,651,656,658,660,661,804,848,849,865,869,870,871,878,
880,883,891,892,894,895,897,898,901,904,906,910,915,918,924,927,928,942,943,
946,947,949,954,955,987,994,1011,1038,1081,1085,1144,1163,1165,1167,1297,1302,
1303,1307,1319,1320,1322,1344,1351,1352,1361,1364,1366,1371,1513,1517,1536,
1540,1554,1570,1571,1581,1582,1593,1595,1607,1609,1613,1614,1626,1632,1639,
1640,1654,1655,1665,1666,1781,1810,1811,1812,1937,2093,2094,2099,2109,2131,
2132,2134,2142,2143,2144,2145,2149,2167,2169,2180,2208,2213,2305,2326,2331,
2358,2363,2365,2373,2374,2380,2568,2570,2580,2581,2582,2588,2589,2762,2775,
2784,2785,2793,2794,2838,2839,2842,2852,2886,2891,2903,3027,3200,3204,3210,
3212,3216,3218,3229,3230,3236,3314,3315,3319,3388,3442,3491,3692,3696,3720,
3765,3884,3887,3888,4131,4139,4140,4304],[1,3,4,5,7,8,14,20,21,24,25,27,30,32,
34,38,39,41,46,53,85,88,90,93,96,104,114,116,119,125,127,133,134,137,147,151,
161,171,181,190,197,202,207,217,276,327,356,358,363,371,376,401,402,403,404,
418,419,434,456,468,473,493,512,530,579,588,594,601,606,608,611,625,626,633,
654,657,662,815,850,874,902,910,998,1088,1177,1269,1279,1281,1284,1288,1289,
1298,1299,1346,1355,1365,1372,1534,1543,1556,1576,1600,1695,2072,2096,2100,
2176,2214,2337,2459,2572,2764,2827,2869,3194,3207,3396,3667,3697,3727,3880,
4037,4128,4150,4151,4305],[1,4,5,6,7,8,11,34,41,42,46,48,49,120,121,122,123,
125,126,128,129,144,148,157,212,385,399,400,402,409,411,439,440,442,503,513,
520,632,638,639,640,641,642,873,1027,1029,1034,1321,1325,1327,1328,1329,1335,
1383,1647,1796,2236,2546,2549,2550,2553,3477,3486,4039,4040,4041,4043,4306],[1
,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,28,29,31,32,33,
34,35,38,40,41,42,44,45,46,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,
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,
113,114,115,116,117,121,139,140,143,144,145,147,148,152,153,155,156,157,159,
160,162,163,165,166,168,172,173,174,177,178,179,180,182,183,184,185,186,187,
188,189,190,195,197,199,200,201,204,206,207,208,209,218,219,220,221,222,223,
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,
357,358,359,360,361,362,363,364,365,367,379,384,386,387,388,409,445,446,448,
449,450,451,452,453,454,455,456,459,460,464,468,471,474,479,480,481,482,483,
484,485,486,487,488,489,494,497,498,500,501,502,503,504,505,508,509,510,511,
512,513,519,520,521,522,524,526,527,528,536,547,548,549,550,551,552,553,554,
555,556,557,559,560,561,562,565,566,567,568,569,573,574,575,576,577,581,582,
586,590,591,592,593,595,597,602,603,604,607,608,609,611,613,616,617,618,619,
622,623,625,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,
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,
833,834,835,836,837,838,839,840,841,842,843,844,845,846,865,866,873,883,891,
892,906,927,946,947,1039,1040,1041,1042,1043,1047,1048,1049,1050,1051,1053,
1054,1055,1060,1064,1067,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,
1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,
1094,1099,1100,1101,1102,1111,1115,1116,1117,1118,1125,1126,1134,1135,1139,
1140,1141,1144,1156,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1181,
1183,1185,1191,1192,1202,1203,1206,1207,1208,1215,1216,1217,1225,1226,1227,
1231,1232,1233,1243,1245,1246,1254,1256,1263,1264,1270,1271,1275,1276,1277,
1278,1280,1282,1288,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,
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,
1503,1504,1505,1506,1507,1508,1509,1510,1513,1514,1518,1526,1564,1566,1567,
1571,1579,1580,1586,1588,1592,1593,1639,1644,1646,1647,1689,1826,1830,1832,
1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,1843,1844,1851,1852,1853,
1854,1855,1856,1857,1858,1859,1860,1861,1862,1863,1864,1865,1873,1874,1875,
1876,1877,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1892,
1893,1894,1895,1897,1899,1901,1904,1906,1907,1908,1909,1910,1911,1912,1913,
1914,1915,1916,1917,1922,1925,1934,1935,1936,1937,1938,1939,1940,1944,1947,
1948,1949,1952,1953,1954,1955,1956,1957,1958,1970,1971,1972,1973,1981,1988,
1990,2009,2011,2017,2019,2020,2021,2032,2036,2044,2045,2052,2060,2070,2075,
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,
2285,2286,2287,2288,2289,2290,2291,2292,2295,2302,2312,2322,2323,2329,2331,
2332,2333,2345,2394,2395,2397,2409,2412,2420,2421,2455,2591,2592,2594,2609,
2610,2611,2612,2613,2614,2616,2625,2627,2629,2631,2632,2633,2634,2635,2636,
2637,2638,2639,2640,2641,2642,2643,2644,2645,2646,2647,2648,2649,2650,2651,
2652,2653,2654,2655,2656,2657,2658,2659,2660,2661,2670,2671,2673,2677,2678,
2679,2681,2687,2688,2689,2690,2691,2692,2693,2703,2706,2708,2709,2726,2731,
2739,2740,2741,2949,2950,2951,2952,2953,2954,2955,2956,2957,2958,2959,2960,
2961,2962,2963,2967,2970,2986,2987,2993,2994,3000,3001,3005,3006,3023,3048,
3050,3107,3247,3248,3249,3250,3251,3252,3253,3254,3259,3260,3261,3262,3264,
3265,3266,3267,3268,3269,3270,3271,3273,3274,3275,3281,3287,3288,3290,3291,
3298,3489,3506,3511,3512,3513,3525,3538,3539,3541,3543,3546,3548,3582,3731,
3732,3736,3737,3738,3739,3740,3741,3742,3743,3744,3745,3746,3747,3749,3909,
3911,3917,4045,4046,4153,4157,4161,4307],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,
17,18,19,20,21,22,23,24,25,28,29,31,32,33,35,40,41,42,44,45,49,50,51,52,53,54,
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,
105,106,107,108,109,110,111,112,113,114,115,116,117,118,139,141,144,153,155,
156,157,160,162,165,166,168,172,173,174,179,180,182,183,184,185,186,187,188,
189,190,199,201,206,207,218,219,220,221,222,223,224,225,226,227,228,229,230,
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,
364,365,366,369,380,381,382,405,445,447,449,450,451,457,459,460,474,479,482,
483,484,485,494,500,502,503,507,509,510,521,522,524,526,528,536,549,551,552,
553,554,555,556,557,559,560,569,576,577,586,593,597,607,608,613,616,618,619,
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,
836,837,838,839,840,841,842,843,844,845,846,849,852,857,876,877,878,879,884,
894,911,918,919,930,939,943,955,1039,1041,1042,1043,1045,1047,1051,1054,1055,
1058,1067,1069,1071,1072,1078,1083,1084,1089,1090,1091,1092,1093,1094,1098,
1099,1100,1101,1102,1104,1115,1117,1125,1126,1134,1139,1141,1156,1167,1168,
1169,1183,1185,1191,1192,1202,1203,1206,1207,1208,1217,1225,1231,1232,1243,
1246,1254,1263,1264,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,
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,
1503,1504,1505,1506,1507,1508,1509,1510,1512,1515,1538,1539,1541,1552,1562,
1584,1608,1609,1613,1617,1630,1632,1633,1642,1648,1658,1668,1817,1818,1819,
1824,1839,1840,1841,1844,1845,1846,1851,1852,1855,1856,1857,1858,1865,1874,
1875,1876,1877,1888,1889,1891,1892,1893,1894,1895,1897,1899,1902,1908,1910,
1913,1914,1925,1934,1939,1940,1944,1948,1955,1956,1970,1971,1981,1988,2009,
2017,2036,2044,2052,2240,2241,2242,2243,2244,2245,2246,2247,2248,2249,2250,
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,
2281,2282,2283,2284,2285,2286,2287,2288,2289,2290,2291,2292,2294,2307,2311,
2330,2355,2362,2363,2370,2379,2382,2387,2398,2400,2407,2408,2418,2439,2594,
2595,2596,2597,2598,2599,2600,2607,2609,2610,2613,2614,2617,2618,2622,2623,
2636,2637,2638,2640,2642,2643,2646,2647,2649,2650,2659,2660,2661,2670,2677,
2678,2681,2687,2688,2689,2690,2691,2715,2716,2949,2950,2951,2952,2953,2954,
2955,2956,2957,2958,2959,2960,2961,2962,2963,2965,2966,2976,2977,2984,2990,
2992,3047,3053,3056,3061,3064,3070,3096,3244,3245,3250,3252,3258,3262,3270,
3275,3276,3277,3278,3279,3287,3288,3290,3298,3489,3493,3494,3495,3496,3497,
3502,3505,3510,3517,3518,3522,3523,3533,3534,3536,3537,3571,3733,3737,3891,
3894,3899,3900,3901,3902,3903,3904,3905,3907,3910,3912,3913,3921,3923,4152,
4154,4155,4156,4158,4159,4162,4308],[1,2,4,5,6,9,10,12,13,22,26,28,29,31,32,40
,42,48,50,51,73,74,101,118,130,132,136,139,140,141,153,155,168,172,173,174,199
,206,212,258,366,380,381,414,429,439,445,446,447,448,474,479,500,501,528,536,
569,586,597,848,857,876,877,987,1027,1069,1070,1156,1343,1344,1512,1535,1562,
1584,2166,2167,2179,2311,2547,2883,3193,3665,4168,4309],[1,2,3,4,5,6,9,10,15,
16,19,22,23,26,28,29,30,32,33,40,41,45,48,52,62,73,75,79,80,109,118,130,131,
135,139,140,141,153,158,168,169,170,175,179,185,199,205,213,283,366,382,383,
414,416,425,439,445,446,447,449,453,474,475,502,504,529,537,570,583,598,848,
857,878,880,988,1028,1071,1073,1145,1343,1344,1512,1536,1563,1585,2166,2168,
2169,2178,2313,2547,2884,3193,3666,4168,4310],[1,2,4,5,6,9,10,12,13,19,22,23,
26,28,29,32,35,40,41,44,48,50,65,73,75,76,77,108,118,130,132,136,139,140,141,
153,160,162,168,173,179,180,189,199,201,214,281,366,369,405,414,416,429,439,
445,446,447,449,452,457,474,482,483,484,500,505,507,522,557,613,848,849,857,
918,997,1033,1078,1080,1098,1202,1343,1344,1512,1515,1607,1642,2166,2168,2179,
2180,2407,2547,2888,3186,3193,3681,4168,4311],[1,2,3,4,5,6,9,10,15,16,19,22,23
,26,28,29,32,33,41,45,48,52,62,73,75,79,80,109,118,130,139,140,179,185,212,213
,214,283,366,382,383,416,442,443,445,446,449,453,502,504,643,644,645,646,647,
648,649,847,848,878,880,1031,1032,1034,1035,1036,1037,1071,1073,1336,1337,1338
,1339,1340,1341,1342,1343,1344,1382,1511,1536,1799,1800,1808,1809,2165,2168,
2169,2229,2234,2235,2293,2554,2555,2556,2557,2558,2559,2942,2943,2944,3188,
3189,3193,3303,3304,3481,3666,3754,3755,4169,4312],[1,2,3,4,5,6,7,8,9,11,12,13
,14,15,16,17,18,21,40,41,44,47,50,52,54,55,57,58,59,60,61,64,67,68,69,70,118,
120,121,127,129,139,141,144,145,148,149,150,152,153,156,157,160,162,167,218,
222,223,224,225,226,229,232,233,234,405,500,502,507,510,515,516,517,518,522,
524,629,635,639,667,669,670,857,866,867,868,873,875,911,1039,1042,1043,1045,
1047,1051,1056,1057,1058,1059,1061,1064,1065,1067,1387,1642,1793,1841,1844,
1902,1905,2103,2294,2300,2301,2302,2303,2307,2350,2594,2606,2607,2608,2984,
3308,3502,3503,3504,3521,3549,4051,4052,4063,4313],[1,2,3,4,5,6,8,9,10,12,13,
15,16,17,19,20,21,22,23,25,28,29,30,31,32,33,34,35,37,38,40,41,42,43,44,45,46,
50,51,52,55,56,62,65,68,70,71,73,74,75,76,77,79,80,81,87,91,92,93,101,103,106,
107,108,109,110,118,119,120,121,128,143,153,154,155,156,158,159,160,161,162,
163,164,165,166,168,169,170,172,173,174,175,176,177,178,179,180,181,182,183,
184,185,186,187,188,189,190,191,192,193,194,195,197,199,200,201,202,203,204,
205,206,208,209,210,219,221,231,232,239,241,244,245,247,248,249,258,262,264,
267,268,270,272,275,278,279,280,281,282,283,284,287,288,331,332,338,339,347,
350,351,366,367,368,369,371,372,378,379,380,381,382,383,384,385,386,387,388,
389,390,391,392,403,405,406,407,408,409,411,412,413,454,458,464,474,475,476,
478,479,480,481,482,483,484,485,486,487,488,489,490,491,493,496,497,498,499,
506,508,521,522,525,526,527,528,529,532,533,534,535,536,537,544,546,547,548,
549,550,551,552,553,554,555,556,557,558,559,560,561,562,564,569,570,571,574,
575,576,578,580,581,582,583,585,586,589,590,591,592,593,595,596,597,598,599,
600,602,603,604,605,607,609,610,612,613,615,617,619,620,621,623,629,634,638,
697,701,702,703,743,757,761,765,774,799,803,804,806,810,812,848,849,852,876,
877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,
902,903,905,906,907,911,912,913,914,915,916,917,918,919,920,921,922,923,924,
925,926,927,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,
945,946,947,948,951,952,953,954,955,956,957,958,959,960,961,962,964,965,1044,
1052,1095,1096,1097,1105,1111,1120,1125,1126,1127,1133,1134,1135,1137,1143,
1145,1148,1152,1153,1156,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,
1170,1172,1175,1181,1182,1188,1194,1195,1196,1198,1200,1202,1203,1209,1211,
1215,1216,1221,1224,1225,1227,1228,1230,1235,1238,1241,1243,1245,1248,1249,
1250,1253,1254,1256,1257,1259,1260,1261,1293,1294,1295,1296,1300,1305,1309,
1310,1311,1316,1317,1318,1324,1325,1326,1330,1460,1535,1536,1537,1538,1539,
1540,1541,1542,1551,1552,1553,1554,1555,1606,1607,1608,1609,1613,1614,1615,
1616,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,
1631,1632,1633,1634,1635,1636,1637,1638,1639,1648,1649,1650,1651,1652,1653,
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,
1684,1685,1686,1687,1688,1690,1691,1692,1693,1694,1699,1700,1701,1702,1703,
1704,1705,1706,1707,1708,1709,1710,1711,1791,1868,1869,1896,1898,1919,1930,
1941,1951,1974,1977,1984,1985,1999,2002,2009,2011,2016,2022,2025,2028,2034,
2035,2047,2085,2086,2087,2088,2090,2091,2092,2095,2097,2098,2101,2110,2111,
2112,2116,2117,2118,2119,2120,2121,2122,2123,2124,2125,2127,2128,2129,2130,
2136,2137,2138,2139,2140,2141,2147,2148,2153,2154,2155,2156,2157,2158,2161,
2162,2304,2305,2352,2353,2354,2355,2356,2357,2358,2360,2361,2362,2363,2364,
2365,2369,2370,2371,2372,2373,2374,2375,2376,2377,2378,2379,2380,2381,2382,
2383,2384,2428,2429,2430,2431,2432,2433,2434,2435,2436,2437,2438,2439,2442,
2443,2444,2445,2446,2447,2448,2449,2450,2451,2452,2453,2454,2462,2463,2464,
2465,2533,2534,2538,2540,2542,2663,2722,2758,2759,2760,2761,2763,2765,2766,
2767,2768,2769,2776,2777,2778,2787,2788,2789,2790,2791,2795,2796,2797,2798,
2806,2807,2808,2809,2810,2816,2817,2818,2819,2820,2821,2822,2823,2824,2825,
2826,2830,2831,2832,2833,2834,2835,2836,2837,2840,2841,2850,2851,2853,2854,
2855,2856,2857,2864,2865,2866,2867,2868,3024,3025,3026,3027,3096,3097,3098,
3099,3100,3101,3102,3103,3104,3105,3106,3108,3152,3169,3175,3176,3177,3178,
3179,3180,3182,3183,3306,3307,3310,3321,3322,3323,3324,3325,3326,3327,3331,
3332,3333,3334,3335,3341,3342,3343,3344,3345,3351,3352,3353,3354,3355,3356,
3357,3358,3359,3360,3361,3362,3363,3364,3365,3366,3367,3368,3369,3384,3385,
3386,3387,3399,3581,3605,3606,3614,3628,3629,3631,3641,3642,3643,3645,3648,
3649,3763,3771,3772,3790,3791,3794,3795,3796,3797,3801,3802,3803,3805,3806,
3807,3944,3950,3951,3954,3964,3965,3966,3971,3972,3977,4074,4174,4187,4188,
4189,4190,4191,4192,4314],[1,2,3,4,5,6,7,8,9,10,12,13,15,16,17,19,20,21,22,23,
25,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,50,51,52,55,56,62,65,
68,70,71,73,74,75,76,77,79,80,81,87,91,92,93,101,103,106,107,108,109,110,118,
120,121,122,123,124,125,126,139,141,142,145,153,154,155,156,158,159,160,161,
162,163,164,165,166,168,169,170,172,173,174,175,176,177,178,179,180,181,182,
183,184,185,186,187,188,189,190,191,192,193,194,195,197,199,200,201,202,203,
204,205,206,208,209,210,219,221,231,232,239,241,244,245,247,248,249,258,262,
264,267,268,270,272,275,278,279,280,281,282,283,284,287,288,331,332,338,339,
347,350,351,366,367,369,372,373,374,375,376,377,378,379,380,381,382,383,384,
385,386,387,388,389,390,391,392,393,399,400,401,402,405,407,408,409,445,447,
449,455,457,467,471,474,475,476,478,479,480,481,482,483,484,485,486,487,488,
489,490,491,493,496,497,498,499,500,502,507,511,521,522,525,526,527,528,529,
532,533,534,535,536,537,544,546,547,548,549,550,551,552,553,554,555,556,557,
558,559,560,561,562,564,569,570,571,574,575,576,578,580,581,582,583,585,586,
589,590,591,592,593,595,596,597,598,599,600,602,603,604,605,607,609,610,612,
613,615,617,619,620,621,623,629,630,631,632,697,701,702,703,743,757,761,765,
774,799,803,804,806,810,812,848,849,852,857,858,859,860,861,862,863,864,866,
867,868,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,
893,894,895,903,904,905,906,908,909,910,911,913,914,915,916,918,919,921,922,
923,924,925,926,927,929,930,931,932,933,934,935,936,937,938,939,940,941,942,
943,944,945,946,947,951,952,953,954,955,958,959,960,961,962,1041,1051,1069,
1071,1078,1083,1087,1089,1098,1117,1119,1125,1126,1127,1133,1134,1135,1137,
1139,1142,1145,1148,1152,1153,1156,1160,1161,1162,1163,1164,1165,1166,1167,
1168,1169,1170,1172,1175,1181,1182,1188,1194,1195,1196,1198,1200,1202,1203,
1209,1211,1215,1216,1221,1224,1225,1227,1228,1230,1235,1238,1241,1243,1245,
1248,1249,1250,1253,1254,1256,1257,1259,1260,1261,1293,1294,1295,1296,1297,
1300,1303,1304,1305,1306,1307,1308,1317,1318,1319,1320,1321,1460,1512,1514,
1515,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1535,1536,1537,1538,
1539,1540,1541,1542,1552,1553,1554,1555,1562,1563,1566,1567,1568,1572,1573,
1574,1575,1577,1578,1584,1585,1588,1589,1592,1596,1597,1598,1599,1601,1602,
1606,1607,1608,1609,1613,1614,1615,1617,1618,1619,1620,1621,1622,1623,1624,
1625,1626,1627,1628,1629,1630,1631,1632,1633,1634,1636,1637,1638,1639,1642,
1646,1648,1649,1650,1651,1652,1653,1654,1655,1656,1658,1659,1660,1661,1662,
1663,1664,1665,1666,1668,1669,1670,1671,1672,1673,1674,1675,1676,1678,1679,
1680,1681,1682,1683,1684,1685,1686,1687,1688,1690,1691,1692,1693,1694,1699,
1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1790,1857,1858,
1875,1889,1914,1918,1930,1934,1955,1974,1977,1984,1985,1999,2002,2009,2011,
2016,2022,2025,2028,2034,2035,2047,2085,2086,2087,2088,2090,2091,2092,2093,
2095,2097,2098,2099,2101,2103,2104,2105,2106,2107,2108,2110,2116,2117,2118,
2119,2120,2121,2122,2123,2127,2128,2129,2130,2131,2134,2135,2136,2137,2138,
2139,2140,2141,2142,2143,2147,2148,2149,2304,2305,2311,2313,2322,2323,2324,
2329,2330,2334,2338,2339,2340,2341,2345,2346,2349,2352,2353,2354,2355,2356,
2357,2358,2360,2361,2362,2363,2364,2365,2369,2370,2371,2372,2373,2374,2376,
2377,2378,2379,2380,2381,2382,2383,2384,2387,2389,2395,2407,2412,2417,2418,
2421,2425,2427,2428,2429,2430,2431,2432,2433,2434,2435,2436,2437,2438,2439,
2442,2443,2444,2445,2446,2447,2448,2449,2450,2451,2452,2453,2454,2462,2463,
2464,2465,2532,2535,2537,2659,2722,2758,2759,2760,2761,2763,2765,2766,2767,
2768,2769,2770,2772,2773,2774,2776,2777,2778,2779,2780,2781,2782,2783,2787,
2788,2789,2790,2791,2794,2795,2796,2797,2798,2799,2801,2802,2803,2804,2805,
2806,2807,2808,2809,2810,2811,2813,2814,2815,2816,2817,2818,2819,2820,2821,
2822,2823,2824,2825,2826,2832,2833,2834,2835,2836,2837,2840,2841,2843,2845,
2846,2847,2849,2850,2851,2852,2853,2854,2855,2856,3024,3025,3026,3027,3032,
3047,3050,3073,3074,3089,3090,3095,3096,3097,3098,3099,3100,3101,3102,3103,
3104,3105,3106,3108,3157,3158,3160,3163,3165,3166,3170,3171,3306,3307,3310,
3311,3312,3313,3317,3318,3321,3322,3323,3324,3325,3326,3327,3328,3330,3331,
3332,3333,3334,3335,3336,3338,3339,3340,3341,3342,3343,3344,3345,3347,3348,
3350,3351,3352,3353,3354,3355,3356,3357,3358,3359,3360,3361,3362,3363,3364,
3365,3366,3367,3368,3369,3371,3372,3373,3376,3377,3378,3379,3380,3382,3384,
3385,3386,3387,3556,3581,3607,3610,3613,3617,3618,3619,3620,3634,3638,3646,
3763,3764,3771,3772,3782,3783,3785,3786,3787,3790,3791,3793,3794,3795,3796,
3797,3798,3800,3801,3802,3803,3805,3806,3807,3942,3943,3946,3947,3948,3949,
3952,3957,3958,3970,4073,4074,4172,4173,4176,4177,4180,4183,4186,4315],[1,2,3,
4,5,6,7,8,9,15,16,17,19,20,23,24,25,31,32,34,35,37,38,39,41,42,43,44,45,46,52,
56,75,88,92,93,96,97,98,99,105,106,111,116,117,119,120,121,122,123,125,126,127
,139,142,145,154,156,164,165,166,177,178,186,190,191,192,193,194,195,197,200,
203,204,207,210,253,275,277,333,344,345,349,353,357,358,359,360,361,367,368,
371,373,374,376,377,378,379,385,389,392,399,400,401,402,403,404,406,407,409,
449,455,467,471,480,487,489,496,497,499,502,511,526,548,558,564,565,566,567,
568,580,596,608,610,611,617,625,632,633,634,635,636,637,733,807,839,840,842,
843,844,850,851,858,859,860,864,866,872,890,893,902,907,908,909,910,912,913,
917,920,925,927,932,934,941,948,952,956,959,1087,1089,1141,1182,1215,1275,1276
,1277,1278,1282,1288,1298,1299,1304,1308,1309,1310,1311,1312,1313,1314,1315,
1316,1321,1330,1331,1332,1333,1508,1514,1519,1520,1521,1524,1526,1543,1544,
1551,1556,1557,1558,1559,1572,1573,1574,1583,1597,1598,1599,1610,1611,1616,
1623,1635,1646,1652,1657,1661,1667,1671,1686,1689,1693,1695,1696,1707,1795,
1901,1940,2019,2020,2021,2045,2070,2075,2096,2100,2102,2104,2111,2113,2114,
2115,2124,2125,2135,2153,2154,2155,2156,2157,2158,2159,2160,2306,2338,2340,
2341,2359,2366,2367,2368,2375,2385,2412,2440,2441,2451,2455,2456,2457,2458,
2459,2539,2544,2545,2731,2739,2740,2741,2751,2752,2753,2756,2757,2764,2771,
2781,2786,2801,2827,2828,2829,2830,2831,2847,2858,2859,2860,2864,2865,2866,
2867,2868,2869,2870,2871,2983,3028,3107,3109,3110,3111,3112,3113,3168,3184,
3316,3320,3370,3373,3389,3390,3391,3392,3393,3396,3397,3398,3399,3582,3583,
3627,3637,3640,3644,3766,3767,3768,3769,3770,3804,3808,3809,3975,3976,4075,
4076,4077,4078,4193,4316],[1,2,3,4,5,6,7,8,10,12,13,16,18,19,20,21,22,23,25,28
,29,31,32,33,34,35,36,38,39,40,41,42,44,45,46,47,51,68,71,72,74,77,80,83,84,91
,92,93,97,98,103,108,115,117,118,120,121,122,123,124,125,126,155,162,163,166,
167,168,172,173,174,177,178,179,182,183,185,189,190,196,197,198,201,204,206,
208,264,267,270,280,310,317,318,350,355,359,360,364,365,366,367,369,370,373,
374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,393,394,395,
396,397,398,399,400,401,402,405,409,410,482,485,488,489,536,554,560,562,563,
576,581,593,595,597,602,629,630,631,632,674,774,780,817,818,826,827,848,849,
852,853,854,855,856,876,877,878,880,882,883,884,891,892,893,894,895,896,897,
898,899,900,901,904,906,908,909,910,918,927,928,929,930,942,943,946,947,949,
950,958,961,1165,1169,1294,1295,1297,1301,1302,1303,1304,1305,1306,1307,1308,
1317,1318,1319,1320,1321,1322,1323,1444,1535,1536,1539,1540,1541,1542,1545,
1546,1547,1548,1549,1550,1560,1561,1607,1608,1612,1617,1618,1626,1632,1639,
1640,1641,1680,1691,1694,1697,1698,1708,1709,1790,2086,2087,2089,2093,2094,
2097,2099,2128,2129,2131,2132,2133,2134,2135,2136,2139,2140,2142,2143,2144,
2145,2146,2147,2149,2376,2378,2379,2380,2386,2428,2432,2433,2460,2461,2532,
2535,2536,2537,2758,2762,2787,2788,2792,2793,2794,2832,2833,2838,2839,2841,
2842,2850,2852,3108,3158,3159,3160,3161,3162,3163,3164,3165,3166,3167,3170,
3171,3387,3388,3608,3609,3610,3611,3612,3613,3615,3616,3621,3622,3623,3624,
3625,3626,3634,3635,3636,3638,3639,3646,3647,3953,3955,3956,3959,3960,3961,
3962,3963,3967,3968,3969,3970,3973,3974,4175,4178,4179,4181,4182,4184,4185,
4317],[1,2,3,4,6,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,29,31,33,35
,42,44,45,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70
,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,94,95,96,97,98
,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,140,141,
144,156,165,166,172,182,183,184,185,186,187,188,189,214,218,220,221,222,223,
224,225,226,228,229,230,231,232,233,234,235,236,237,238,242,243,244,245,247,
250,251,254,255,256,257,258,259,261,262,263,264,265,266,268,269,270,271,272,
273,274,275,278,279,281,283,284,285,286,287,290,291,292,293,294,295,296,297,
298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,
317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,333,334,335,336,
337,338,340,341,342,343,344,345,439,446,447,448,450,451,452,453,457,459,460,
501,503,504,505,507,509,510,526,549,551,552,553,554,555,565,643,666,667,668,
669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,
688,691,692,693,694,695,696,700,701,707,708,709,710,711,712,713,714,715,716,
717,719,720,721,723,724,725,726,728,729,733,735,736,737,742,744,745,746,747,
748,749,750,751,752,753,754,756,757,758,759,760,761,762,767,768,784,788,789,
791,792,793,794,796,797,798,829,830,831,832,833,834,1033,1040,1043,1045,1049,
1053,1054,1055,1058,1070,1073,1074,1075,1076,1079,1080,1084,1085,1086,1090,
1091,1092,1093,1094,1098,1099,1100,1101,1102,1104,1134,1282,1335,1387,1388,
1390,1391,1392,1393,1395,1396,1397,1398,1399,1400,1401,1402,1403,1406,1408,
1409,1410,1411,1415,1416,1417,1418,1419,1420,1422,1423,1424,1425,1426,1427,
1428,1429,1430,1432,1434,1480,1482,1483,1484,1485,1487,1489,1797,1817,1818,
1819,1824,1832,1839,1842,1845,1846,1873,1878,1879,1880,1881,1887,1891,1892,
1893,1894,1895,1897,1899,1902,2021,2164,2240,2241,2242,2246,2248,2249,2250,
2251,2252,2253,2254,2547,2548,2549,2591,2592,2595,2596,2597,2598,2599,2600,
2607,2612,2613,2617,2618,2622,2623,2645,2715,2716,2872,2951,3186,3187,3191,
3244,3245,3248,3258,3260,3261,3276,3277,3278,3279,3655,3656,3661,3732,3733,
3978,4195,4318],[1,4,7,8,20,25,34,38,39,46,93,97,117,119,122,127,151,197,211,
359,371,374,399,403,404,473,567,636,851,854,902,909,966,1278,1313,1315,1332,
1544,1548,1557,1560,1696,1698,2159,2457,2460,2754,2757,3392,3395,4319],[1,4,7,
8,20,25,34,38,39,46,93,98,117,119,123,127,151,197,211,360,371,373,400,403,404,
473,568,637,851,853,902,908,966,1277,1312,1314,1333,1544,1547,1558,1561,1696,
1697,2160,2456,2461,2755,2756,3393,3394,4320],[1,2,3,4,5,6,9,10,11,12,13,14,15
,16,17,18,19,20,21,22,23,24,25,26,28,29,30,32,35,40,41,44,50,51,52,53,54,55,56
,57,58,59,60,61,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,82,87,89,90
,91,92,94,95,100,101,103,104,105,106,107,108,109,110,111,112,118,130,131,132,
135,136,139,141,144,153,155,156,157,158,160,161,162,168,169,170,171,173,174,
175,176,179,180,181,188,189,190,199,201,205,206,215,218,221,222,223,224,225,
226,228,229,230,231,232,233,234,236,237,242,243,244,245,247,250,251,257,258,
261,262,263,264,265,266,268,269,270,271,272,273,274,275,278,279,281,283,284,
285,286,287,290,291,292,293,294,295,296,297,298,299,331,333,334,335,336,337,
338,340,366,369,381,383,405,414,415,416,417,420,421,422,424,425,426,427,428,
429,430,431,432,445,447,449,450,457,460,474,475,476,477,479,482,483,484,491,
494,500,502,507,510,522,523,524,525,528,529,530,531,532,533,534,535,536,537,
538,539,541,543,544,545,546,551,557,559,560,569,570,571,572,578,583,584,585,
586,589,597,598,599,600,605,613,616,620,621,650,652,663,667,668,669,670,688,
694,695,696,700,701,707,708,709,710,711,735,737,742,750,751,752,753,754,756,
757,758,759,760,761,762,767,784,788,789,791,792,793,794,857,876,880,881,895,
911,918,919,942,945,969,970,971,972,973,974,975,977,978,979,980,981,986,987,
988,989,990,991,992,993,994,995,996,997,1039,1042,1043,1045,1047,1051,1058,
1067,1068,1069,1071,1072,1078,1083,1089,1090,1098,1099,1104,1115,1117,1123,
1126,1127,1128,1129,1130,1131,1132,1133,1137,1145,1146,1147,1148,1149,1150,
1151,1156,1170,1172,1173,1174,1175,1176,1178,1183,1198,1199,1201,1202,1206,
1207,1208,1212,1219,1220,1221,1223,1237,1238,1239,1240,1248,1249,1250,1253,
1343,1351,1353,1356,1360,1378,1379,1387,1415,1417,1418,1419,1422,1423,1424,
1425,1426,1432,1512,1515,1552,1562,1563,1584,1585,1626,1627,1628,1642,1669,
1716,1717,1718,1719,1720,1721,1722,1723,1724,1727,1752,1755,1756,1757,1758,
1759,1760,1761,1818,1824,1841,1844,1851,1855,1856,1857,1865,1871,1872,1874,
1877,1888,1889,1891,1897,1902,1920,1930,1932,1943,1944,1970,1971,1995,1996,
1997,1998,1999,2000,2001,2005,2166,2168,2178,2179,2185,2186,2192,2195,2219,
2220,2242,2294,2307,2311,2313,2314,2315,2334,2354,2389,2393,2407,2408,2413,
2417,2471,2474,2475,2485,2486,2487,2489,2567,2594,2607,2610,2614,2622,2623,
2664,2688,2689,2690,2691,2873,2874,2876,2878,2880,2881,2883,2884,2885,2887,
2888,2889,2895,2896,2899,2904,2905,2917,2965,2966,2984,2990,3007,3014,3031,
3032,3033,3044,3127,3199,3203,3221,3245,3252,3402,3403,3404,3405,3406,3407,
3410,3417,3419,3421,3422,3425,3437,3438,3444,3445,3502,3522,3523,3527,3674,
3685,3707,3710,3811,3813,3815,3826,3833,3834,3835,3837,3891,3983,3984,3997,
4001,4086,4196,4202,4203,4321],[1,2,3,4,5,6,8,9,11,12,13,14,15,16,17,18,21,24,
25,26,28,30,31,32,33,37,40,41,44,49,50,52,54,55,57,58,59,60,61,64,66,67,68,69,
70,72,78,82,83,84,85,86,89,90,91,94,95,102,105,111,113,114,115,121,130,131,132
,135,136,139,141,144,145,148,152,153,156,157,160,162,169,170,171,173,174,175,
176,181,182,184,202,207,216,218,220,222,223,224,225,226,229,232,233,234,235,
238,254,255,256,259,274,296,297,298,300,301,302,303,304,305,306,307,308,309,
310,311,312,313,314,315,333,341,342,343,372,387,388,420,421,422,424,425,426,
427,428,429,430,431,432,435,437,451,459,469,490,492,495,500,502,507,510,520,
522,524,528,529,531,532,533,539,542,543,544,545,546,552,573,577,587,594,601,
606,614,622,651,655,659,666,667,669,670,687,691,692,693,712,713,714,715,736,
744,745,746,747,748,749,753,768,796,797,798,866,867,873,885,967,969,970,971,
972,973,974,975,976,977,978,979,980,981,1001,1004,1005,1008,1009,1013,1015,
1018,1023,1024,1025,1039,1042,1043,1045,1047,1051,1058,1059,1064,1065,1067,
1093,1102,1121,1127,1128,1129,1130,1141,1157,1158,1159,1180,1190,1204,1205,
1226,1233,1244,1255,1265,1343,1358,1359,1367,1387,1416,1420,1427,1428,1429,
1430,1532,1580,1588,1602,1603,1714,1716,1717,1718,1719,1720,1733,1736,1738,
1744,1745,1748,1751,1766,1772,1773,1774,1780,1817,1819,1825,1838,1841,1844,
1871,1892,1902,1909,1922,1926,1949,1956,1965,1980,1989,2010,2178,2179,2189,
2191,2200,2205,2241,2300,2302,2344,2350,2471,2476,2478,2492,2495,2498,2503,
2569,2594,2606,2607,2617,2618,2639,2644,2666,2873,2874,2876,2878,2900,2901,
2925,3006,3011,3018,3021,3128,3209,3244,3249,3400,3402,3403,3416,3426,3428,
3430,3432,3435,3521,3530,3677,3680,3811,3822,3825,3827,3892,4014,4087,4197,
4322],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,
29,30,32,35,38,40,41,44,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,
69,70,71,73,74,75,76,77,79,80,81,82,87,89,90,91,92,94,95,100,101,103,104,105,
106,107,108,109,110,111,112,121,130,131,132,135,136,139,141,144,145,148,152,
153,155,156,157,160,162,169,170,171,173,174,175,176,180,181,188,189,201,202,
206,207,216,218,221,222,223,224,225,226,228,229,230,231,232,233,234,236,237,
242,243,244,245,247,250,251,257,258,261,262,263,264,265,266,268,269,270,271,
272,273,274,275,278,279,281,283,284,285,286,287,290,291,292,293,294,295,296,
297,298,299,331,333,334,335,336,337,338,340,379,386,387,420,421,422,423,424,
425,426,427,428,429,430,431,432,433,435,436,437,438,447,450,457,460,471,472,
476,478,484,485,490,492,500,502,507,510,521,522,524,528,529,531,532,533,538,
539,540,543,544,545,546,551,556,569,576,577,584,587,588,593,600,606,607,612,
615,618,619,651,658,661,667,668,669,670,688,694,695,696,700,701,707,708,709,
710,711,735,737,742,750,751,752,753,754,756,757,758,759,760,761,762,767,784,
788,789,791,792,793,794,866,867,873,906,968,969,970,971,972,973,974,975,977,
978,979,980,981,982,983,984,999,1000,1002,1003,1006,1007,1008,1009,1010,1011,
1012,1016,1017,1018,1019,1020,1021,1022,1023,1024,1039,1041,1042,1043,1045,
1047,1051,1058,1059,1064,1065,1067,1090,1098,1099,1104,1122,1127,1128,1129,
1130,1139,1141,1146,1152,1154,1168,1179,1180,1186,1188,1196,1197,1209,1213,
1217,1225,1231,1232,1236,1242,1247,1252,1258,1259,1261,1343,1358,1359,1371,
1387,1415,1417,1418,1419,1422,1423,1424,1425,1426,1432,1527,1533,1577,1579,
1592,1602,1603,1715,1716,1717,1718,1719,1720,1731,1732,1734,1735,1737,1739,
1740,1741,1742,1743,1746,1747,1749,1750,1763,1764,1765,1775,1776,1777,1778,
1779,1780,1818,1824,1829,1840,1841,1844,1871,1891,1897,1902,1908,1910,1925,
1928,1948,1955,1956,1961,1962,1975,1978,1982,1984,1993,2008,2178,2179,2189,
2191,2199,2201,2206,2207,2242,2300,2302,2335,2346,2350,2471,2477,2479,2490,
2491,2493,2494,2496,2497,2501,2502,2569,2594,2606,2607,2622,2623,2638,2640,
2642,2643,2667,2873,2874,2876,2877,2878,2900,2901,2902,2924,2928,3004,3005,
3012,3019,3021,3129,3211,3245,3250,3401,3402,3403,3414,3415,3427,3429,3430,
3433,3434,3435,3521,3531,3677,3680,3811,3820,3821,3823,3824,3828,3893,4013,
4015,4088,4197,4323],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,24,
25,26,28,30,32,40,41,42,44,45,46,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,
64,65,66,67,68,69,70,71,72,78,82,83,84,85,86,89,90,91,94,95,96,97,98,99,100,
102,103,104,105,111,112,113,114,115,121,130,131,132,135,136,139,140,143,144,
145,147,148,152,155,156,157,160,162,165,166,169,170,171,173,175,176,180,181,
202,207,216,220,221,222,223,225,226,228,229,230,231,232,233,235,257,259,264,
265,266,273,274,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,
306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,
325,326,327,328,329,330,333,334,335,336,341,342,343,344,345,387,391,409,421,
422,423,424,425,426,427,429,430,431,432,433,435,437,490,492,495,500,501,502,
503,504,505,508,509,510,511,512,513,519,520,521,524,526,533,538,539,540,542,
543,544,545,546,556,565,566,567,568,573,577,587,588,594,601,606,611,612,614,
618,622,624,651,653,664,666,668,669,671,672,673,674,675,676,677,678,679,680,
681,682,683,684,685,686,733,735,736,744,745,746,747,748,749,750,751,752,753,
754,756,768,829,830,831,832,833,834,865,866,873,935,967,968,970,972,973,974,
975,976,978,981,982,983,984,985,999,1001,1002,1004,1005,1008,1009,1010,1013,
1014,1015,1018,1023,1024,1025,1040,1041,1042,1043,1047,1049,1051,1053,1054,
1055,1060,1064,1121,1122,1129,1136,1141,1157,1158,1159,1179,1180,1196,1197,
1204,1205,1217,1226,1236,1244,1247,1255,1267,1268,1269,1271,1273,1274,1282,
1343,1357,1359,1380,1408,1409,1410,1411,1415,1416,1434,1587,1593,1603,1604,
1644,1646,1647,1689,1714,1715,1717,1729,1731,1733,1734,1736,1737,1738,1740,
1741,1744,1745,1762,1767,1768,1769,1770,1771,1772,1773,1774,1779,1780,1832,
1833,1834,1835,1836,1837,1838,1839,1840,1842,1844,1901,1904,1906,1907,1908,
1909,1949,1956,1966,1967,1993,2010,2019,2020,2021,2039,2059,2178,2179,2187,
2188,2190,2191,2193,2194,2228,2240,2295,2302,2416,2423,2466,2472,2490,2492,
2508,2509,2517,2518,2569,2626,2638,2639,2645,2709,2874,2876,2877,2878,2901,
2906,2907,2940,2986,2987,3023,3107,3124,3222,3247,3248,3251,3400,3401,3403,
3413,3414,3416,3431,3432,3435,3545,3676,3680,3820,3822,3829,3832,3911,3998,
3999,4033,4083,4324],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,19,21,22,23,24,25,
26,28,29,32,35,40,41,44,50,51,52,54,55,57,62,63,64,65,67,68,69,70,73,74,75,76,
77,79,80,81,82,89,90,91,100,101,103,104,105,108,109,110,111,112,117,118,130,
131,132,135,136,139,141,144,153,160,162,168,173,179,180,189,199,201,215,216,
218,228,229,232,233,234,236,237,242,243,244,245,247,252,257,258,264,265,266,
273,274,281,283,284,285,286,287,290,334,336,340,353,354,355,366,369,405,417,
420,421,422,423,424,425,426,427,428,429,430,431,432,433,435,436,437,438,445,
447,449,450,457,460,474,482,483,484,500,502,507,510,522,557,613,650,651,652,
656,658,660,661,663,667,688,694,695,696,700,701,727,730,756,767,779,780,784,
788,790,836,852,857,918,968,969,970,971,972,973,974,975,977,978,979,980,981,
982,983,984,990,995,996,999,1000,1002,1003,1006,1007,1008,1009,1010,1011,1012,
1016,1017,1018,1019,1020,1021,1022,1023,1024,1026,1038,1039,1047,1051,1058,
1069,1071,1072,1078,1090,1098,1115,1117,1202,1356,1358,1359,1360,1366,1370,
1371,1373,1374,1376,1378,1379,1381,1432,1450,1453,1469,1481,1512,1515,1608,
1642,1715,1716,1717,1718,1719,1720,1728,1731,1732,1734,1735,1737,1739,1740,
1741,1742,1743,1746,1747,1749,1750,1757,1763,1764,1765,1775,1776,1777,1778,
1779,1780,1787,1788,1789,1810,1811,1812,1818,1824,1841,1851,1855,1856,1857,
1877,1902,1970,2185,2186,2189,2191,2192,2195,2197,2199,2201,2202,2206,2207,
2215,2216,2218,2222,2223,2224,2272,2294,2407,2471,2477,2479,2484,2490,2491,
2493,2494,2496,2497,2501,2502,2516,2519,2520,2522,2523,2573,2580,2585,2623,
2688,2899,2900,2904,2905,2908,2911,2912,2915,2921,2922,2924,2928,2938,2965,
2966,2984,3129,3130,3131,3143,3151,3223,3226,3231,3232,3425,3427,3429,3430,
3450,3453,3457,3458,3459,3460,3518,3522,3599,3684,3715,3828,3860,3912,3995,
3996,4000,4215,4225,4325],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,18,19,20,21,
22,23,24,25,26,28,30,32,40,41,44,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,
65,67,68,69,70,71,73,74,75,76,77,79,80,81,82,87,89,90,91,92,94,95,100,101,103,
104,105,106,107,108,109,110,111,112,118,130,131,132,135,136,139,141,144,153,
155,156,157,158,159,160,161,162,168,169,170,171,173,174,175,176,179,180,181,
190,199,201,205,206,207,208,215,218,221,222,223,224,225,226,228,229,230,231,
232,233,234,236,237,242,243,244,245,247,250,251,257,258,261,262,263,264,265,
266,268,269,270,271,272,273,274,275,278,279,281,283,284,285,286,287,290,291,
292,293,294,295,296,297,298,299,331,333,334,335,336,337,338,340,381,383,405,
414,415,416,417,420,421,422,424,425,426,427,428,429,430,431,432,445,449,474,
475,476,477,479,482,483,484,491,494,500,502,507,510,521,522,523,524,525,528,
529,530,531,532,533,534,535,536,537,538,539,541,543,544,545,546,557,559,560,
569,570,571,572,574,576,577,578,583,584,585,586,589,597,598,599,600,605,613,
616,618,619,620,621,650,652,663,667,668,669,670,688,694,695,696,700,701,707,
708,709,710,711,735,737,742,750,751,752,753,754,756,757,758,759,760,761,762,
767,784,788,789,791,792,793,794,857,911,915,930,942,945,955,961,969,970,971,
972,973,974,975,977,978,979,980,981,986,987,988,989,990,991,992,993,994,995,
996,997,1039,1041,1042,1043,1045,1046,1047,1051,1058,1067,1068,1069,1071,1072,
1078,1083,1089,1115,1117,1123,1126,1127,1128,1129,1130,1131,1132,1133,1137,
1139,1141,1142,1145,1146,1147,1148,1149,1150,1151,1156,1170,1172,1173,1174,
1175,1176,1178,1183,1198,1199,1201,1202,1206,1207,1208,1212,1217,1219,1220,
1221,1223,1225,1231,1232,1237,1238,1239,1240,1248,1249,1250,1253,1343,1356,
1360,1361,1363,1378,1379,1387,1415,1417,1418,1419,1422,1423,1424,1425,1426,
1432,1562,1584,1585,1642,1658,1665,1669,1672,1678,1699,1708,1716,1717,1718,
1719,1720,1721,1722,1723,1724,1727,1752,1755,1756,1757,1758,1759,1760,1761,
1840,1841,1844,1851,1855,1856,1857,1865,1871,1872,1874,1877,1888,1889,1902,
1908,1910,1920,1925,1930,1932,1943,1944,1948,1950,1955,1956,1970,1971,1995,
1996,1997,1998,1999,2000,2001,2005,2166,2168,2178,2179,2185,2186,2192,2195,
2225,2226,2242,2294,2307,2309,2387,2398,2400,2413,2417,2418,2427,2465,2471,
2474,2475,2485,2486,2487,2489,2567,2594,2607,2610,2614,2638,2640,2642,2643,
2664,2688,2689,2690,2691,2873,2874,2876,2878,2880,2881,2883,2884,2885,2887,
2888,2889,2899,2904,2905,2929,2930,2939,2984,2992,3007,3008,3030,3053,3070,
3071,3076,3095,3127,3214,3221,3250,3252,3402,3403,3404,3405,3406,3407,3410,
3417,3419,3421,3422,3425,3437,3438,3454,3455,3502,3536,3537,3558,3674,3685,
3705,3713,3811,3813,3815,3833,3834,3835,3837,3859,3923,3997,4004,4025,4086,
4196,4211,4212,4326],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,
24,25,26,28,30,32,35,40,41,44,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,
67,68,69,70,71,73,74,75,76,77,79,80,81,82,87,89,90,91,92,94,95,100,101,103,104
,105,106,107,108,109,110,111,112,118,130,131,132,135,136,139,141,144,153,155,
156,157,160,162,168,169,170,171,173,174,175,176,179,180,181,190,195,199,201,
202,204,206,207,215,218,221,222,223,224,225,226,228,229,230,231,232,233,234,
236,237,242,243,244,245,247,250,251,257,258,261,262,263,264,265,266,268,269,
270,271,272,273,274,275,278,279,281,283,284,285,286,287,290,291,292,293,294,
295,296,297,298,299,331,333,334,335,336,337,338,340,369,381,383,405,420,421,
422,423,424,425,426,427,428,429,430,431,432,433,435,436,437,438,445,449,457,
474,476,478,482,483,484,485,490,492,494,497,500,502,507,510,521,522,524,528,
529,531,532,533,538,539,540,543,544,545,546,556,557,559,560,569,576,577,584,
587,588,593,600,606,607,612,613,615,616,618,619,650,652,656,660,663,667,668,
669,670,688,694,695,696,700,701,707,708,709,710,711,735,737,742,750,751,752,
753,754,756,757,758,759,760,761,762,767,784,788,789,791,792,793,794,857,881,
884,911,924,930,942,945,955,958,968,969,970,971,972,973,974,975,977,978,979,
980,981,982,983,984,999,1000,1002,1003,1006,1007,1008,1009,1010,1011,1012,1016
,1017,1018,1019,1020,1021,1022,1023,1024,1039,1041,1042,1043,1045,1047,1051,
1058,1067,1069,1071,1072,1078,1083,1089,1103,1115,1117,1119,1122,1126,1127,
1128,1129,1130,1139,1141,1146,1152,1154,1168,1179,1180,1183,1186,1188,1196,
1197,1202,1206,1207,1208,1209,1213,1217,1225,1231,1232,1236,1242,1247,1252,
1258,1259,1261,1343,1356,1360,1366,1370,1373,1374,1376,1378,1379,1381,1387,
1415,1417,1418,1419,1422,1423,1424,1425,1426,1432,1515,1562,1584,1585,1629,
1642,1654,1658,1669,1685,1691,1704,1715,1716,1717,1718,1719,1720,1731,1732,
1734,1735,1737,1739,1740,1741,1742,1743,1746,1747,1749,1750,1763,1764,1765,
1775,1776,1777,1778,1779,1780,1840,1841,1844,1851,1855,1856,1857,1865,1867,
1871,1874,1877,1888,1889,1902,1908,1910,1925,1928,1944,1948,1955,1956,1961,
1962,1970,1971,1975,1978,1982,1984,1993,2008,2178,2179,2185,2186,2192,2195,
2197,2202,2215,2216,2218,2222,2223,2224,2242,2294,2307,2314,2330,2387,2398,
2400,2403,2413,2417,2418,2425,2446,2471,2477,2479,2490,2491,2493,2494,2496,
2497,2501,2502,2567,2594,2607,2610,2614,2638,2640,2642,2643,2667,2688,2689,
2690,2691,2873,2874,2876,2877,2878,2899,2901,2902,2904,2905,2908,2911,2912,
2915,2921,2922,2938,2984,2992,3007,3046,3053,3065,3070,3079,3089,3092,3129,
3208,3221,3250,3252,3401,3402,3403,3414,3415,3425,3433,3434,3435,3450,3453,
3457,3458,3459,3460,3502,3536,3537,3555,3674,3685,3701,3703,3811,3820,3821,
3823,3824,3860,3923,3997,4008,4023,4088,4196,4205,4206,4327],[1,2,3,4,5,6,9,10
,11,12,13,14,15,16,17,19,21,22,23,24,25,26,28,29,32,35,40,41,44,50,51,52,54,55
,57,62,63,64,65,67,68,69,70,73,74,75,76,77,79,80,81,82,89,90,91,100,101,103,
104,105,106,107,108,109,110,111,112,118,130,131,132,135,136,139,141,144,153,
160,162,168,173,179,180,189,199,201,206,207,215,216,218,228,229,232,233,234,
236,237,240,242,243,244,245,247,249,251,252,257,258,264,265,266,273,274,281,
283,284,285,286,287,290,331,332,333,334,335,336,337,338,339,340,346,347,348,
349,350,351,366,369,405,414,415,416,417,420,421,422,423,424,425,426,427,428,
429,430,431,432,433,435,436,437,438,445,447,449,450,457,460,474,482,483,484,
500,502,507,510,522,557,586,593,613,616,618,619,650,651,652,656,658,660,661,
663,667,688,694,695,696,700,701,734,735,737,738,739,740,741,756,767,776,777,
784,787,788,790,791,792,794,809,810,811,812,857,918,955,968,969,970,971,972,
973,974,975,977,978,979,980,981,982,983,984,986,987,988,989,990,991,992,993,
994,995,996,997,999,1000,1002,1003,1006,1007,1008,1009,1010,1011,1012,1016,
1017,1018,1019,1020,1021,1022,1023,1024,1038,1039,1047,1051,1058,1069,1071,
1072,1078,1090,1098,1115,1117,1139,1141,1183,1191,1192,1202,1232,1243,1264,
1351,1353,1356,1358,1359,1360,1361,1363,1366,1370,1371,1373,1374,1376,1378,
1379,1381,1419,1432,1472,1474,1475,1476,1478,1491,1492,1512,1515,1613,1642,
1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1731,
1732,1734,1735,1737,1739,1740,1741,1742,1743,1746,1747,1749,1750,1752,1753,
1754,1755,1756,1757,1758,1759,1760,1761,1763,1764,1765,1775,1776,1777,1778,
1779,1780,1781,1782,1783,1784,1785,1786,1810,1811,1812,1818,1824,1841,1851,
1855,1856,1857,1877,1902,1908,1910,1913,1914,1970,1971,2052,2185,2186,2189,
2191,2192,2195,2197,2199,2201,2202,2206,2207,2208,2211,2215,2216,2218,2219,
2220,2222,2223,2224,2225,2226,2266,2294,2398,2400,2407,2471,2473,2474,2475,
2477,2479,2484,2485,2486,2487,2488,2489,2490,2491,2493,2494,2496,2497,2501,
2502,2504,2505,2506,2507,2510,2511,2512,2524,2525,2526,2527,2573,2580,2588,
2614,2623,2636,2637,2643,2670,2677,2688,2895,2896,2899,2900,2904,2905,2908,
2911,2912,2915,2917,2921,2922,2924,2928,2929,2930,2933,2934,2935,2937,2938,
2939,2965,2966,2984,3056,3127,3129,3134,3135,3136,3144,3145,3147,3148,3226,
3229,3231,3232,3287,3425,3427,3429,3430,3444,3445,3450,3453,3454,3455,3457,
3458,3459,3460,3469,3470,3472,3522,3536,3603,3684,3715,3716,3717,3826,3828,
3852,3853,3854,3859,3860,3861,3910,3995,3996,4000,4034,4108,4215,4230,4328],[1
,2,3,4,5,6,9,10,11,12,13,14,15,16,17,19,21,22,23,24,25,26,28,29,30,32,35,40,41
,44,50,51,52,54,55,57,62,63,64,65,67,68,69,70,73,74,75,76,77,79,80,81,82,89,90
,91,100,101,103,104,105,106,107,108,109,110,111,112,118,130,131,132,135,136,
139,141,144,153,155,158,160,162,168,169,170,171,173,174,175,176,179,180,189,
199,201,202,204,205,206,207,208,215,218,228,229,232,233,234,236,237,240,242,
243,244,245,247,249,251,252,257,258,264,265,266,273,274,281,283,284,285,286,
287,290,331,332,333,334,335,336,337,338,339,340,346,347,348,349,350,351,366,
369,381,383,405,414,415,416,417,420,422,424,425,426,427,428,429,430,431,435,
436,437,438,445,447,449,450,457,460,474,475,476,477,479,482,483,484,500,502,
507,510,522,523,528,529,531,532,533,536,537,538,539,541,557,569,570,571,572,
583,584,585,586,587,588,589,593,595,597,598,599,600,612,613,615,616,618,619,
620,621,650,652,663,667,688,694,695,696,700,701,734,735,737,738,739,740,741,
756,767,776,777,784,787,788,790,791,792,794,809,810,811,812,857,876,880,881,
918,945,955,958,961,969,971,977,978,979,980,981,986,987,988,989,990,991,992,
995,996,997,999,1000,1002,1003,1009,1010,1011,1012,1039,1047,1051,1058,1069,
1071,1072,1078,1090,1098,1115,1117,1119,1123,1130,1137,1138,1139,1141,1142,
1145,1146,1147,1148,1149,1150,1151,1156,1183,1184,1187,1188,1191,1192,1193,
1194,1195,1202,1212,1223,1229,1232,1234,1235,1236,1237,1238,1239,1240,1241,
1242,1243,1253,1258,1260,1261,1264,1343,1351,1353,1356,1363,1373,1378,1381,
1419,1432,1472,1474,1475,1476,1478,1491,1492,1512,1515,1562,1563,1584,1585,
1613,1628,1642,1680,1699,1704,1719,1721,1722,1723,1724,1737,1739,1747,1750,
1755,1756,1757,1758,1760,1763,1764,1782,1783,1786,1818,1824,1841,1851,1855,
1856,1857,1877,1902,1908,1910,1913,1914,1918,1932,1933,1962,1963,1970,1971,
2005,2012,2013,2024,2025,2026,2027,2028,2029,2051,2052,2166,2168,2178,2179,
2185,2186,2192,2220,2222,2225,2266,2294,2311,2313,2314,2315,2393,2398,2400,
2407,2413,2425,2427,2436,2475,2489,2502,2505,2507,2510,2511,2567,2614,2623,
2636,2637,2643,2670,2677,2688,2730,2873,2876,2878,2880,2881,2883,2884,2885,
2888,2895,2896,2901,2902,2905,2911,2915,2930,2934,2965,2966,2984,3030,3044,
3056,3074,3083,3085,3092,3147,3199,3203,3221,3287,3402,3404,3405,3406,3407,
3414,3415,3419,3437,3438,3444,3447,3448,3454,3457,3522,3536,3576,3674,3701,
3705,3707,3815,3816,3824,3830,3837,3838,3841,3853,3910,3983,3984,3997,4032,
4098,4202,4205,4211,4329],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,19,21,22,23,
24,25,26,28,29,31,32,33,35,40,41,42,44,45,49,50,51,52,54,55,57,62,63,64,65,66,
67,68,69,70,73,74,75,76,77,78,79,80,81,82,85,86,89,90,91,96,99,100,101,102,103
,104,105,108,109,110,113,114,118,130,131,132,135,136,139,141,144,153,160,162,
165,168,172,173,179,180,184,185,186,187,189,199,201,215,216,218,220,228,229,
232,233,234,236,237,238,242,243,244,245,247,254,255,257,258,259,264,265,266,
273,274,281,283,284,285,286,287,290,300,301,302,303,304,305,316,326,327,328,
329,330,336,340,343,344,366,369,380,382,405,420,421,422,423,424,425,426,427,
428,429,430,431,432,433,435,436,437,438,445,447,449,450,451,457,459,460,474,
482,483,484,500,502,503,507,509,510,522,549,557,613,650,651,652,653,655,656,
658,659,660,661,663,664,667,671,684,685,686,687,688,691,692,693,694,695,696,
700,701,716,717,719,720,721,723,724,756,767,768,784,788,796,829,857,877,878,
879,918,939,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,
983,984,985,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,
1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1038,
1039,1047,1051,1055,1058,1069,1071,1072,1078,1084,1090,1091,1092,1093,1094,
1098,1115,1117,1202,1356,1358,1359,1360,1366,1367,1368,1369,1370,1371,1373,
1374,1375,1376,1377,1378,1379,1380,1381,1388,1390,1391,1392,1393,1395,1408,
1427,1432,1487,1489,1512,1515,1630,1642,1714,1715,1716,1717,1718,1719,1720,
1729,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,
1745,1746,1747,1748,1749,1750,1751,1762,1763,1764,1765,1766,1767,1768,1769,
1770,1771,1772,1773,1774,1775,1776,1777,1778,1779,1780,1810,1811,1812,1813,
1815,1817,1818,1819,1824,1841,1845,1846,1851,1855,1856,1857,1877,1899,1902,
1970,2185,2186,2189,2190,2191,2192,2194,2195,2197,2199,2200,2201,2202,2205,
2206,2207,2215,2216,2217,2218,2222,2223,2224,2246,2294,2407,2471,2472,2476,
2477,2478,2479,2482,2483,2490,2491,2492,2493,2494,2495,2496,2497,2498,2499,
2500,2501,2502,2503,2508,2509,2513,2514,2515,2517,2518,2573,2576,2578,2580,
2584,2586,2595,2596,2597,2598,2617,2623,2688,2715,2899,2900,2904,2905,2907,
2908,2910,2911,2912,2914,2915,2921,2922,2924,2925,2926,2927,2928,2938,2965,
2966,2976,2977,2984,3124,3128,3129,3132,3133,3137,3138,3139,3140,3141,3142,
3226,3231,3232,3234,3279,3425,3426,3427,3428,3429,3430,3443,3450,3452,3453,
3457,3458,3459,3460,3461,3493,3496,3497,3522,3533,3602,3684,3715,3827,3828,
3845,3846,3856,3858,3860,3862,3903,3995,3996,4000,4017,4019,4107,4210,4214,
4215,4227,4228,4330],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,
25,26,28,29,30,32,35,40,41,44,50,51,52,53,54,55,56,57,62,63,64,65,67,68,69,70,
71,73,74,75,76,77,79,80,81,82,87,88,89,90,91,92,93,100,101,103,104,105,106,107
,108,109,110,118,130,131,132,135,136,139,141,144,153,155,158,159,160,161,162,
168,169,170,171,173,174,175,176,179,180,189,190,195,199,201,205,206,215,218,
219,221,227,228,229,230,231,232,233,234,236,237,239,240,241,242,243,244,245,
246,247,248,249,257,258,260,261,262,263,264,265,266,267,268,269,270,271,272,
273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,331,
332,336,337,338,339,340,346,347,350,351,366,369,381,383,405,414,415,416,417,
420,422,423,424,425,426,427,428,429,430,431,433,436,438,445,447,449,450,457,
460,474,475,476,477,478,479,482,483,484,485,500,502,507,510,521,522,523,525,
528,529,530,531,532,533,534,535,536,537,538,539,540,541,556,557,559,560,561,
569,570,571,572,576,583,584,585,586,593,597,598,599,600,607,613,615,619,621,
650,652,656,660,663,665,667,668,688,689,690,694,695,696,697,698,699,700,701,
702,703,704,734,737,740,741,742,743,755,756,757,758,759,760,761,762,763,764,
765,766,767,769,772,773,774,784,785,786,787,788,799,800,801,802,803,804,805,
806,809,810,811,812,857,876,880,881,884,915,918,924,930,945,968,969,971,977,
978,979,980,981,982,983,984,986,987,988,989,990,991,992,993,994,997,1000,1003,
1006,1007,1011,1012,1016,1017,1019,1020,1021,1022,1039,1041,1046,1047,1051,
1058,1066,1068,1069,1071,1072,1078,1083,1089,1090,1098,1103,1115,1117,1122,
1123,1124,1125,1126,1130,1131,1132,1133,1138,1139,1145,1146,1147,1148,1149,
1150,1151,1152,1153,1154,1155,1156,1167,1168,1169,1184,1202,1203,1209,1210,
1211,1212,1213,1214,1222,1223,1224,1225,1240,1241,1242,1243,1251,1252,1253,
1254,1343,1351,1353,1356,1361,1366,1370,1374,1376,1378,1413,1414,1417,1431,
1432,1433,1456,1457,1458,1459,1460,1461,1467,1468,1492,1512,1515,1554,1562,
1563,1584,1585,1617,1628,1629,1642,1672,1715,1719,1721,1722,1723,1724,1725,
1726,1732,1735,1739,1742,1743,1752,1753,1754,1755,1759,1760,1761,1775,1776,
1777,1778,1781,1782,1783,1784,1818,1824,1840,1841,1851,1852,1855,1856,1857,
1858,1870,1872,1874,1875,1876,1877,1888,1889,1890,1902,1910,1913,1914,1921,
1931,1933,1934,1939,1945,1946,1948,1955,1970,2002,2003,2004,2005,2006,2007,
2008,2009,2166,2168,2178,2179,2185,2186,2192,2197,2202,2208,2211,2216,2220,
2226,2274,2294,2309,2311,2313,2314,2315,2330,2352,2387,2393,2403,2407,2413,
2418,2473,2474,2488,2489,2491,2506,2507,2524,2525,2526,2527,2567,2609,2610,
2623,2640,2647,2650,2659,2660,2661,2665,2670,2687,2688,2873,2876,2877,2878,
2880,2881,2883,2884,2885,2887,2888,2889,2895,2896,2902,2905,2908,2912,2921,
2922,2929,2935,2965,2966,2984,2989,2992,3008,3015,3044,3045,3046,3047,3144,
3199,3203,3208,3214,3221,3290,3401,3402,3404,3405,3406,3407,3408,3411,3415,
3417,3418,3419,3420,3421,3422,3433,3434,3437,3439,3440,3444,3447,3448,3450,
3455,3469,3470,3505,3510,3522,3528,3537,3674,3687,3690,3703,3707,3713,3812,
3813,3819,3821,3836,3837,3841,3847,3848,3849,3850,3854,3907,3983,3984,3997,
4004,4008,4020,4097,4202,4206,4212,4216,4220,4331],[1,2,3,4,5,6,8,9,10,11,12,
13,14,15,16,17,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,37,38,40,41,42,
43,44,45,46,50,51,52,53,54,55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,76,77,
79,80,81,82,87,88,89,90,91,92,93,100,101,103,104,105,106,107,108,109,110,121,
130,131,132,135,136,139,140,143,145,147,153,155,156,158,159,160,161,162,163,
164,165,166,168,169,170,171,172,173,174,175,176,177,178,179,180,182,183,184,
185,186,187,188,189,190,191,192,194,195,197,199,200,201,204,205,206,208,209,
216,218,219,221,227,228,229,230,231,232,233,234,236,237,239,240,241,242,243,
244,245,246,247,248,249,257,258,260,261,262,263,264,265,266,267,268,269,270,
271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,
290,331,332,336,337,338,339,340,346,347,350,351,367,372,379,384,386,387,388,
390,391,408,409,414,415,416,417,420,422,423,424,425,426,427,428,429,430,431,
433,436,438,445,446,448,449,452,453,454,455,456,458,464,468,471,474,475,476,
477,478,479,480,481,482,483,484,485,486,487,488,489,497,498,500,501,502,504,
505,506,508,511,512,521,522,523,525,526,527,528,529,530,531,532,533,534,535,
536,537,538,539,540,541,547,548,549,550,551,552,553,554,555,556,557,559,560,
561,562,564,569,570,571,572,574,575,576,581,582,583,584,585,586,590,591,592,
593,595,597,598,599,600,602,603,604,607,609,613,615,617,619,621,623,651,653,
655,658,659,661,664,665,667,668,688,689,690,694,695,696,697,698,699,700,701,
702,703,704,734,737,740,741,742,743,755,756,757,758,759,760,761,762,763,764,
765,766,767,769,772,773,774,784,785,786,787,788,799,800,801,802,803,804,805,
806,809,810,811,812,865,866,883,885,886,887,888,889,891,892,903,906,916,922,
923,926,927,931,933,935,936,937,938,946,947,968,969,971,977,978,979,980,981,
982,983,984,986,987,988,989,990,991,992,993,994,997,1000,1003,1006,1007,1011,
1012,1016,1017,1019,1020,1021,1022,1039,1040,1041,1047,1048,1049,1050,1051,
1052,1053,1060,1066,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,
1079,1080,1081,1082,1083,1085,1086,1087,1088,1089,1095,1096,1097,1111,1115,
1116,1117,1118,1122,1123,1124,1125,1126,1130,1131,1132,1133,1134,1135,1138,
1139,1140,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,
1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1181,1184,1202,1203,1209,
1210,1211,1212,1213,1214,1215,1216,1222,1223,1224,1225,1227,1240,1241,1242,
1243,1245,1251,1252,1253,1254,1256,1343,1352,1354,1357,1362,1364,1367,1368,
1369,1371,1375,1377,1380,1413,1414,1417,1431,1432,1433,1456,1457,1458,1459,
1460,1461,1467,1468,1492,1513,1514,1516,1518,1526,1555,1564,1565,1566,1567,
1571,1586,1587,1588,1592,1593,1619,1620,1621,1622,1624,1625,1634,1639,1643,
1644,1646,1675,1676,1715,1719,1721,1722,1723,1724,1725,1726,1732,1735,1739,
1742,1743,1752,1753,1754,1755,1759,1760,1761,1775,1776,1777,1778,1781,1782,
1783,1784,1826,1830,1840,1841,1842,1843,1851,1852,1853,1854,1855,1856,1857,
1858,1859,1860,1861,1862,1863,1864,1870,1872,1873,1874,1875,1876,1877,1878,
1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1898,1904,1910,1911,
1912,1913,1914,1915,1916,1917,1921,1931,1933,1934,1935,1936,1937,1938,1939,
1945,1946,1947,1948,1952,1953,1954,1955,1970,1972,2002,2003,2004,2005,2006,
2007,2008,2009,2011,2166,2168,2178,2179,2187,2188,2193,2196,2198,2203,2204,
2209,2210,2212,2213,2217,2221,2227,2274,2295,2310,2312,2316,2317,2318,2319,
2320,2321,2322,2323,2329,2331,2332,2333,2345,2357,2390,2391,2392,2394,2395,
2404,2405,2406,2409,2412,2414,2415,2416,2420,2421,2473,2474,2488,2489,2491,
2506,2507,2524,2525,2526,2527,2569,2609,2610,2611,2612,2625,2640,2641,2647,
2648,2650,2651,2652,2653,2654,2655,2656,2657,2658,2659,2660,2661,2665,2670,
2671,2687,2688,2692,2693,2873,2876,2877,2878,2880,2881,2883,2884,2885,2887,
2888,2889,2897,2898,2902,2906,2909,2913,2918,2919,2920,2923,2931,2932,2936,
2967,2970,2986,2991,2993,2994,3000,3001,3010,3017,3034,3035,3036,3037,3038,
3039,3040,3048,3050,3144,3201,3205,3209,3211,3215,3217,3222,3290,3291,3401,
3402,3404,3405,3406,3407,3408,3411,3415,3417,3418,3419,3420,3421,3422,3433,
3434,3437,3439,3440,3446,3447,3448,3451,3456,3466,3467,3468,3471,3506,3511,
3512,3513,3525,3529,3538,3539,3676,3688,3689,3693,3694,3704,3711,3714,3812,
3813,3819,3821,3836,3837,3841,3847,3848,3849,3850,3855,3909,3986,3987,3998,
4003,4005,4009,4010,4022,4097,4204,4207,4213,4217,4218,4219,4221,4332],[1,2,3,
4,5,6,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,28,30,32,35,40,41,44,
50,51,52,53,54,55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,87,
88,89,92,93,94,95,100,101,103,104,105,106,107,108,109,110,111,112,118,130,131,
132,135,136,139,141,144,153,155,158,160,161,162,168,169,170,171,173,174,175,
176,179,180,188,190,195,199,201,205,206,207,208,215,218,221,228,229,230,231,
232,233,234,237,239,240,241,242,243,244,246,247,248,249,250,251,252,253,258,
260,261,262,263,265,267,268,269,270,271,272,275,276,277,278,279,280,281,282,
283,284,285,286,287,288,289,290,295,296,299,331,333,334,335,336,337,338,340,
347,349,351,369,381,383,405,415,416,417,420,422,423,424,425,426,427,428,429,
430,431,433,436,438,445,449,457,460,476,477,478,479,483,484,485,491,494,500,
502,507,510,521,522,525,528,529,530,531,532,533,534,535,538,539,540,541,556,
557,559,560,569,570,571,576,578,583,584,585,586,589,593,597,599,600,605,607,
608,609,613,615,616,618,619,620,621,650,652,656,660,663,667,668,690,695,702,
703,704,707,710,735,737,739,741,742,752,755,757,758,759,760,761,762,766,767,
775,776,777,785,786,787,788,789,790,791,792,794,795,799,801,803,805,807,808,
857,881,884,895,919,924,930,942,945,955,961,968,969,971,977,978,979,980,981,
982,983,984,986,989,990,991,992,993,994,995,996,1000,1003,1006,1007,1011,1012,
1016,1017,1019,1020,1021,1022,1039,1041,1047,1051,1058,1069,1071,1072,1078,
1083,1089,1099,1103,1104,1115,1117,1122,1126,1130,1132,1137,1139,1141,1142,
1146,1149,1151,1152,1153,1154,1167,1168,1173,1175,1176,1183,1185,1189,1192,
1193,1195,1201,1203,1208,1209,1213,1214,1221,1224,1225,1228,1230,1232,1235,
1237,1238,1239,1240,1242,1246,1248,1251,1252,1254,1257,1262,1263,1264,1343,
1353,1356,1363,1366,1370,1374,1376,1378,1417,1419,1424,1433,1466,1467,1475,
1478,1479,1490,1497,1499,1504,1505,1515,1562,1563,1584,1585,1627,1629,1642,
1648,1654,1682,1699,1708,1715,1719,1722,1725,1726,1727,1728,1732,1735,1739,
1742,1743,1756,1757,1758,1759,1760,1775,1776,1777,1778,1824,1840,1841,1852,
1855,1858,1865,1874,1877,1888,1889,1902,1908,1910,1932,1934,1939,1940,1942,
1948,1955,1960,1964,1970,1971,1981,1996,2003,2008,2013,2022,2030,2033,2034,
2043,2044,2046,2050,2168,2178,2179,2185,2186,2192,2197,2202,2216,2219,2225,
2290,2294,2314,2315,2330,2334,2387,2389,2398,2400,2403,2408,2413,2418,2427,
2444,2475,2484,2487,2488,2491,2510,2512,2567,2610,2614,2622,2637,2640,2643,
2646,2647,2649,2677,2678,2687,2691,2719,2873,2876,2877,2878,2880,2881,2885,
2887,2889,2896,2902,2905,2908,2912,2921,2922,2930,2937,2966,2984,2992,3030,
3031,3046,3058,3061,3064,3066,3073,3136,3203,3208,3221,3275,3288,3401,3402,
3405,3408,3410,3411,3415,3421,3433,3434,3437,3438,3445,3450,3454,3523,3536,
3537,3550,3674,3703,3705,3710,3815,3817,3821,3831,3833,3836,3838,3861,3921,
3984,3997,4008,4027,4095,4203,4206,4211,4333],[1,2,3,4,5,6,8,9,11,12,13,14,15,
16,17,18,21,24,25,26,28,30,32,40,41,42,44,45,46,49,50,52,54,55,57,58,59,60,61,
64,66,67,68,69,70,72,78,82,83,84,85,86,89,90,91,94,95,102,105,111,113,114,115,
121,130,131,132,135,136,139,141,144,145,148,152,153,156,157,160,162,165,166,
169,170,171,173,174,175,176,181,202,207,216,218,220,222,223,224,225,226,229,
232,233,234,235,238,254,255,256,259,274,296,297,298,300,301,302,303,304,305,
306,307,308,309,310,311,312,313,314,315,333,341,342,343,387,391,409,420,421,
422,424,425,426,427,428,429,430,431,432,435,437,490,492,495,500,502,503,507,
509,510,511,513,519,520,522,524,526,528,529,531,532,533,539,542,543,544,545,
546,573,577,587,594,601,606,614,622,651,653,664,666,667,669,670,687,691,692,
693,712,713,714,715,736,744,745,746,747,748,749,753,768,796,797,798,866,867,
873,935,967,969,970,971,972,973,974,975,976,977,978,979,980,981,1001,1004,1005
,1008,1009,1013,1015,1018,1023,1024,1025,1039,1042,1043,1045,1047,1051,1054,
1055,1058,1059,1064,1065,1067,1121,1127,1128,1129,1130,1141,1157,1158,1159,
1180,1190,1204,1205,1226,1233,1244,1255,1265,1343,1358,1359,1380,1387,1416,
1420,1427,1428,1429,1430,1602,1603,1604,1646,1647,1714,1716,1717,1718,1719,
1720,1733,1736,1738,1744,1745,1748,1751,1766,1772,1773,1774,1780,1838,1839,
1841,1844,1845,1846,1847,1850,1871,1902,1906,1909,1922,1926,1949,1956,1965,
1980,1989,2010,2178,2179,2189,2190,2191,2194,2241,2300,2302,2350,2423,2471,
2476,2478,2492,2495,2498,2503,2569,2594,2606,2607,2639,2644,2666,2715,2716,
2873,2874,2876,2878,2900,2901,2907,2987,3021,3082,3093,3128,3222,3249,3258,
3272,3400,3402,3403,3416,3430,3432,3435,3443,3461,3521,3575,3677,3680,3811,
3822,3825,3858,3924,3999,4087,4197,4334],[1,2,4,5,6,8,9,10,11,12,13,19,20,22,
23,24,27,29,31,35,40,41,42,43,44,46,49,50,51,57,65,71,73,74,75,76,77,78,82,87,
88,96,100,101,102,107,108,116,121,134,140,143,144,148,153,154,155,156,157,158,
160,161,162,163,164,172,177,178,188,189,200,205,206,207,209,210,217,218,219,
221,236,237,238,239,240,241,257,258,259,260,261,262,263,280,281,282,316,331,
332,346,347,352,358,362,386,388,390,408,409,418,446,448,450,451,452,480,481,
501,503,505,506,508,513,520,521,522,523,524,525,551,562,565,566,569,570,571,
572,573,575,576,577,578,579,580,592,604,611,618,619,620,621,622,626,654,671,
687,688,689,690,716,717,718,742,743,769,778,799,800,809,813,821,865,873,914,
916,931,936,938,944,946,951,962,1040,1044,1050,1052,1066,1067,1068,1070,1079,
1080,1081,1082,1084,1116,1137,1138,1140,1143,1160,1217,1218,1219,1220,1221,
1222,1223,1224,1225,1226,1228,1229,1230,1231,1232,1233,1234,1235,1271,1272,
1275,1279,1287,1345,1365,1388,1389,1435,1446,1447,1456,1462,1564,1565,1571,
1579,1580,1643,1644,1647,1660,1663,1673,1675,1679,1689,1701,1710,1730,1832,
1833,1853,1854,1873,1882,1907,1912,1920,1921,1922,1923,1924,1925,1935,1947,
1951,1957,1958,1959,1969,2018,2022,2023,2026,2040,2057,2170,2256,2308,2310,
2388,2390,2391,2392,2394,2397,2399,2426,2464,2467,2480,2571,2591,2615,2616,
2629,2630,2631,2651,2676,2700,2701,2705,2710,2916,3016,3017,3023,3054,3055,
3072,3077,3084,3125,3219,3253,3297,3464,3544,3546,3547,3578,3814,3864,3925,
4084,4209,4335],[1,2,3,4,5,6,8,10,11,12,13,14,15,16,17,19,21,23,24,25,27,28,30
,32,33,35,37,40,41,42,43,44,45,46,49,51,55,57,62,63,64,65,66,67,68,69,70,77,78
,79,82,85,86,87,89,90,91,92,96,99,100,102,103,104,105,106,107,110,113,114,121,
133,134,137,140,143,144,148,155,157,158,159,160,162,163,164,165,168,169,170,
171,173,175,176,179,180,181,182,183,187,188,193,200,201,202,203,204,205,207,
217,219,220,227,228,233,239,240,246,249,257,259,263,264,265,266,268,271,273,
274,279,284,300,301,302,303,304,305,316,326,327,328,329,330,336,337,343,344,
372,384,387,390,391,408,409,434,452,453,458,476,481,482,486,488,490,491,492,
494,495,498,499,501,503,504,505,506,508,509,510,513,520,521,523,524,527,533,
536,537,538,539,540,541,542,543,544,545,546,553,556,557,565,566,571,573,577,
578,585,587,588,589,594,598,601,605,606,611,612,614,616,617,618,620,622,624,
654,657,662,665,671,684,685,686,689,697,698,699,718,722,756,759,768,785,787,
829,865,873,888,905,916,921,933,935,937,944,947,951,960,1048,1049,1050,1052,
1055,1066,1075,1079,1085,1086,1105,1116,1118,1120,1121,1122,1123,1124,1125,
1129,1136,1148,1157,1158,1159,1172,1176,1178,1179,1180,1185,1187,1196,1197,
1199,1204,1205,1206,1216,1217,1219,1226,1228,1229,1236,1237,1244,1247,1250,
1255,1260,1262,1264,1267,1268,1269,1271,1273,1274,1282,1345,1372,1389,1394,
1408,1431,1488,1516,1565,1586,1587,1593,1603,1604,1636,1643,1644,1647,1650,
1663,1676,1688,1689,1690,1706,1730,1832,1833,1843,1854,1859,1862,1863,1868,
1870,1879,1907,1923,1927,1959,1960,1963,1966,1967,1972,1974,1979,1987,1988,
1990,1993,1997,2010,2039,2054,2059,2181,2245,2310,2318,2336,2388,2399,2402,
2414,2415,2416,2420,2423,2424,2448,2466,2480,2481,2521,2571,2615,2626,2627,
2629,2630,2645,2668,2684,2693,2695,2698,2916,3010,3023,3041,3054,3063,3080,
3087,3091,3150,3213,3256,3259,3463,3464,3465,3543,3545,3547,3553,3814,3843,
3918,4099,4209,4336],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,
25,26,28,30,32,35,40,41,44,50,51,52,53,54,55,56,57,62,63,64,65,67,68,69,70,71,
73,74,75,76,77,79,80,81,87,88,89,92,93,94,95,100,101,103,104,105,106,107,108,
109,110,111,112,118,130,131,132,135,136,139,141,144,153,155,158,159,160,161,
162,168,169,170,171,173,174,175,176,179,180,188,190,199,201,202,204,205,206,
207,215,218,221,228,229,230,231,232,233,234,237,239,240,241,242,243,244,246,
247,248,249,250,251,252,253,258,260,261,262,263,265,267,268,269,270,271,272,
275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,295,296,299,
331,333,334,335,336,337,338,340,347,349,351,369,381,383,405,414,416,417,420,
422,424,425,426,427,428,429,430,431,435,436,437,438,445,449,457,460,477,478,
479,482,484,485,491,493,494,498,500,502,507,510,521,522,523,525,528,529,530,
531,532,533,534,535,536,537,538,539,541,557,559,560,569,570,572,576,578,579,
584,585,587,588,589,593,597,599,605,607,608,612,613,615,616,618,619,620,650,
652,663,667,668,690,695,702,703,704,707,710,735,737,739,741,742,752,755,757,
758,759,760,761,762,766,767,775,776,777,785,786,787,788,789,790,791,792,794,
795,799,801,803,805,807,808,857,881,895,915,919,930,942,945,955,958,969,971,
977,978,979,980,981,987,988,989,990,993,994,995,996,997,999,1000,1002,1003,
1009,1010,1011,1012,1039,1041,1046,1047,1051,1058,1068,1069,1071,1072,1078,
1083,1089,1099,1104,1115,1117,1119,1123,1126,1130,1131,1132,1133,1139,1141,
1150,1151,1154,1155,1169,1171,1173,1175,1176,1177,1183,1185,1187,1188,1189,
1192,1200,1201,1203,1208,1210,1211,1218,1221,1222,1225,1229,1230,1232,1236,
1237,1242,1246,1248,1254,1257,1258,1260,1261,1263,1264,1343,1353,1356,1361,
1373,1378,1381,1417,1419,1424,1433,1466,1467,1475,1478,1479,1490,1497,1499,
1504,1505,1515,1562,1563,1584,1585,1627,1642,1648,1665,1672,1684,1691,1704,
1719,1722,1727,1737,1739,1747,1750,1752,1755,1757,1759,1761,1763,1764,1781,
1784,1785,1824,1840,1841,1852,1855,1858,1865,1866,1872,1874,1877,1888,1889,
1902,1908,1910,1924,1929,1934,1939,1940,1948,1955,1962,1963,1964,1970,1971,
1976,1977,1981,1983,1985,1986,1994,1996,2006,2044,2166,2168,2178,2179,2185,
2186,2192,2219,2222,2226,2290,2294,2309,2315,2334,2387,2389,2398,2400,2408,
2413,2418,2425,2447,2474,2487,2502,2504,2506,2511,2512,2567,2610,2614,2622,
2637,2640,2643,2646,2647,2649,2669,2677,2678,2687,2691,2873,2876,2878,2881,
2883,2884,2885,2887,2888,2889,2896,2901,2902,2905,2911,2915,2929,2933,2966,
2984,2992,3008,3031,3052,3061,3064,3078,3090,3092,3148,3203,3214,3221,3275,
3288,3402,3405,3410,3414,3415,3417,3419,3421,3422,3438,3439,3440,3441,3445,
3455,3457,3523,3536,3537,3554,3674,3701,3710,3713,3813,3818,3819,3824,3830,
3831,3833,3852,3921,3984,3997,4004,4030,4096,4203,4205,4212,4337],[1,2,3,4,5,6
,8,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,27,30,31,32,33,34,35,37,38,40,
41,42,43,44,45,46,49,51,54,55,56,57,62,65,69,70,71,74,76,77,78,79,80,81,82,86,
87,88,89,92,96,100,102,106,107,108,109,110,113,116,121,134,140,143,144,148,155
,157,158,160,162,163,164,166,170,171,174,175,176,178,180,181,183,184,186,187,
188,190,191,192,194,195,197,199,200,201,202,205,207,208,217,219,231,234,239,
240,242,243,248,254,255,257,259,260,261,263,269,272,278,279,280,284,287,288,
290,303,316,338,339,346,351,352,358,362,367,372,379,390,391,408,409,419,448,
452,453,454,458,459,460,464,469,472,475,476,477,479,481,483,485,487,492,494,
495,501,503,504,505,506,508,513,520,521,523,524,531,532,535,538,545,546,550,
555,559,564,565,566,571,573,577,578,581,583,589,590,599,605,608,609,611,613,
614,615,618,620,622,625,654,671,689,693,696,704,718,719,721,762,765,769,778,
802,803,811,813,821,865,873,886,905,916,922,923,926,927,940,944,951,953,1050,
1052,1053,1066,1074,1075,1076,1077,1079,1082,1086,1094,1095,1096,1097,1111,
1114,1116,1128,1131,1144,1149,1164,1170,1173,1178,1184,1186,1190,1191,1195,
1203,1205,1207,1209,1210,1212,1217,1219,1226,1228,1229,1238,1246,1248,1257,
1258,1265,1270,1271,1275,1276,1280,1288,1345,1355,1389,1392,1435,1448,1449,
1458,1463,1513,1516,1518,1532,1533,1555,1565,1587,1615,1638,1643,1644,1647,
1651,1656,1662,1663,1689,1730,1832,1833,1854,1864,1880,1886,1898,1907,1916,
1923,1938,1945,1952,1959,1973,1976,1982,1989,1991,1992,1995,2017,2032,2034,
2041,2051,2060,2175,2259,2310,2317,2336,2372,2388,2399,2401,2404,2405,2406,
2409,2411,2419,2455,2480,2571,2592,2593,2615,2628,2629,2630,2631,2632,2653,
2672,2680,2682,2704,2706,2916,2991,3023,3043,3054,3057,3059,3062,3069,3126,
3206,3254,3255,3282,3464,3542,3547,3548,3573,3814,3863,3922,4085,4209,4338],[1
,2,3,4,5,6,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,28,29,31,32,33,35
,40,41,42,44,45,50,51,52,53,54,55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,76
,77,79,80,81,82,87,88,89,90,91,92,93,100,101,103,104,105,106,107,108,109,110,
118,130,132,136,139,140,153,155,156,159,160,162,163,165,166,168,172,173,174,
177,178,179,180,182,183,184,185,186,187,188,189,190,195,199,200,201,204,206,
208,209,218,219,221,227,228,229,230,231,232,233,234,236,237,239,240,241,242,
243,244,245,246,247,248,249,257,258,260,261,262,263,264,265,266,267,268,269,
270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,
289,290,331,332,336,337,338,339,340,346,347,350,351,366,369,380,381,382,383,
405,414,415,416,420,423,428,429,433,436,438,445,446,448,449,452,453,474,479,
480,481,482,483,484,485,486,487,488,489,497,498,500,501,502,504,505,521,522,
526,527,528,536,547,548,549,550,551,552,553,554,555,556,557,559,560,561,562,
569,574,575,576,581,582,586,590,591,592,593,595,597,602,603,604,607,609,613,
617,619,623,665,667,668,688,689,690,694,695,696,697,698,699,700,701,702,703,
704,734,737,740,741,742,743,755,756,757,758,759,760,761,762,763,764,765,766,
767,769,772,773,774,784,785,786,787,788,799,800,801,802,803,804,805,806,809,
810,811,812,848,849,852,876,877,878,879,880,881,882,884,894,895,911,915,918,
919,924,929,930,939,942,943,945,954,955,958,961,971,984,986,987,994,997,1007,
1011,1017,1021,1022,1039,1040,1041,1047,1048,1049,1050,1051,1053,1069,1070,
1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1085,1086,
1089,1115,1116,1117,1118,1125,1126,1134,1135,1139,1140,1144,1156,1160,1161,
1162,1163,1164,1165,1166,1167,1168,1169,1181,1202,1203,1215,1216,1225,1227,
1243,1245,1254,1256,1343,1344,1413,1414,1417,1431,1432,1433,1456,1457,1458,
1459,1460,1461,1467,1468,1492,1535,1536,1537,1538,1539,1540,1541,1542,1552,
1554,1606,1607,1608,1609,1613,1614,1617,1618,1626,1627,1628,1629,1630,1631,
1632,1633,1648,1653,1654,1655,1658,1659,1665,1666,1668,1669,1672,1674,1678,
1680,1682,1684,1685,1691,1694,1699,1702,1703,1704,1708,1709,1721,1726,1752,
1753,1778,1781,1782,1840,1841,1842,1843,1851,1852,1853,1854,1855,1856,1857,
1858,1859,1860,1861,1862,1863,1864,1873,1874,1875,1876,1877,1878,1879,1880,
1881,1882,1883,1884,1885,1886,1887,1888,1889,1910,1911,1912,1913,1914,1915,
1916,1917,1934,1935,1936,1937,1938,1939,1947,1948,1952,1953,1954,1955,1970,
1972,2009,2011,2166,2167,2168,2169,2179,2180,2274,2304,2305,2352,2353,2354,
2355,2358,2360,2361,2362,2363,2364,2365,2369,2370,2373,2374,2376,2377,2378,
2379,2380,2381,2382,2383,2384,2428,2429,2430,2432,2433,2435,2436,2438,2439,
2444,2445,2446,2447,2452,2453,2462,2465,2527,2609,2610,2611,2612,2640,2641,
2647,2648,2650,2651,2652,2653,2654,2655,2656,2657,2658,2659,2660,2661,2670,
2671,2687,2688,2692,2693,2873,2875,2877,2879,2880,2882,2883,2886,2887,2888,
2890,2891,2902,2903,3024,3025,3026,3027,3096,3097,3098,3099,3100,3101,3102,
3103,3105,3106,3108,3193,3290,3291,3404,3409,3411,3412,3417,3420,3423,3424,
3434,3436,3439,3442,3447,3449,3581,3665,3666,3681,3850,3851,3981,3982,3989,
3990,3991,3994,4018,4198,4199,4200,4201,4224,4226,4229,4339],[1,2,3,4,6,8,9,11
,15,16,18,21,34,37,42,43,44,45,48,49,52,60,66,67,72,120,128,144,154,156,165,
166,191,193,212,213,214,220,222,235,385,392,407,411,412,413,439,503,509,510,
526,558,638,643,646,647,666,913,934,941,957,964,965,1027,1028,1033,1043,1054,
1055,1324,1325,1326,1335,1337,1671,1677,1797,1805,1806,1839,2112,2161,2162,
2164,2549,2551,2857,2872,3191,3477,3661,3869,4039,4119,4235,4340],[1,2,3,4,8,9
,11,15,16,18,21,34,37,43,46,48,49,52,60,66,67,72,122,128,129,145,148,152,154,
191,193,212,213,214,220,222,235,399,411,412,413,440,511,513,519,558,641,643,
646,647,666,859,957,963,964,965,1029,1064,1328,1335,1337,1598,1677,1801,1906,
2151,2164,2550,2560,2861,2872,3477,3660,3869,4040,4119,4341],[1,2,3,4,8,9,11,
15,16,18,21,34,37,43,46,48,49,52,60,66,67,72,123,128,129,145,148,152,154,191,
193,212,213,214,220,222,235,400,411,412,413,440,511,513,519,558,640,643,646,
647,666,858,957,963,964,965,1029,1064,1329,1335,1337,1597,1677,1801,1906,2150,
2164,2550,2560,2862,2872,3477,3659,3869,4041,4119,4342],[1,2,3,4,5,7,8,9,11,15
,16,18,21,34,37,41,43,48,49,52,60,66,67,72,125,128,129,139,142,154,157,191,193
,212,213,214,220,222,235,402,411,412,413,442,502,520,558,642,643,646,647,666,
860,957,963,964,965,1034,1042,1327,1335,1337,1599,1677,1799,1838,2152,2164,
2553,2554,2863,2872,3477,3658,3869,4043,4119,4343],[1,2,4,5,6,7,8,9,10,12,13,
19,22,23,25,28,29,32,35,38,39,40,44,48,50,65,73,75,76,77,103,107,108,110,118,
121,124,125,126,140,141,142,143,145,146,153,155,156,159,173,174,180,188,189,
195,201,204,206,208,214,247,249,281,331,339,350,351,366,369,375,376,377,379,
386,387,393,405,439,440,441,442,443,446,447,452,457,464,467,470,471,484,485,
497,498,505,507,528,551,556,561,569,574,593,595,607,609,631,648,810,848,849,
852,861,862,864,865,867,869,870,871,904,906,911,915,918,919,924,958,961,1033,
1036,1037,1080,1098,1118,1119,1142,1144,1168,1181,1297,1307,1319,1382,1383,
1384,1385,1386,1518,1522,1523,1524,1527,1529,1530,1531,1552,1554,1564,1569,
1577,1578,1593,1595,1601,1602,1606,1607,1608,1609,1678,1680,1682,1684,1685,
1803,1915,1918,2099,2106,2109,2131,2149,2229,2238,2239,2304,2305,2332,2346,
2347,2349,2428,2429,2430,2438,2439,2547,2590,2772,2775,2800,2802,2812,2813,
2852,2944,3106,3186,3241,3318,3319,3329,3330,3337,3338,3478,3479,3662,3730,
3799,3800,3873,3874,4042,4234,4344],[1,2,4,5,6,7,8,9,10,12,13,19,22,23,26,28,
29,32,35,38,39,40,44,50,65,73,75,76,77,108,118,120,121,122,123,124,125,126,130
,132,136,139,140,141,143,145,146,153,155,156,159,173,174,180,188,189,195,201,
204,206,208,215,216,281,366,369,373,374,375,376,377,378,379,381,386,387,393,
405,429,445,446,449,452,457,464,470,471,484,485,497,498,500,505,528,551,556,
561,569,574,593,595,607,609,629,630,631,632,650,651,656,658,660,661,848,849,
857,865,866,867,868,869,870,871,884,904,906,911,915,918,919,924,958,961,1038,
1078,1080,1168,1181,1294,1297,1305,1306,1307,1308,1317,1319,1343,1344,1366,
1371,1515,1518,1526,1527,1528,1529,1530,1531,1552,1554,1562,1564,1566,1569,
1584,1592,1593,1595,1607,1678,1680,1682,1684,1685,1790,1810,1811,1812,2097,
2099,2103,2109,2128,2131,2147,2149,2179,2180,2330,2332,2345,2347,2430,2532,
2535,2567,2568,2569,2570,2580,2770,2775,2799,2800,2811,2812,2850,2852,3158,
3170,3171,3193,3208,3210,3211,3212,3336,3337,3490,3491,3634,3681,3878,3879,
3883,3884,4132,4133,4236,4345],[1,2,3,4,5,6,7,8,9,10,15,16,19,22,23,26,28,29,
31,32,33,34,36,40,41,42,44,45,46,47,52,62,73,75,79,80,109,118,120,121,122,123,
124,125,126,130,139,140,141,143,145,146,153,155,156,159,163,165,166,177,179,
182,184,185,200,206,208,209,215,216,283,366,367,370,380,381,382,383,384,385,
386,387,388,389,393,394,395,396,397,398,399,400,401,402,405,409,410,416,445,
446,449,453,455,461,480,486,502,504,511,514,526,527,547,552,569,574,575,581,
582,590,602,623,629,630,631,632,650,651,848,857,865,866,867,868,869,870,871,
878,880,891,897,911,915,929,939,943,947,949,954,961,1038,1071,1073,1161,1227,
1294,1295,1297,1301,1302,1303,1304,1317,1318,1319,1320,1321,1322,1323,1343,
1344,1352,1364,1514,1517,1536,1562,1564,1566,1567,1568,1569,1581,1582,1588,
1589,1590,1591,1645,1646,1659,1666,1668,1674,1678,1702,1709,1790,1810,2093,
2094,2097,2099,2103,2109,2140,2142,2144,2145,2168,2169,2322,2325,2395,2396,
2462,2535,2536,2537,2567,2568,2569,2570,2589,2762,2782,2785,2811,2812,2842,
2843,2848,3166,3167,3171,3193,3201,3204,3217,3218,3382,3383,3490,3491,3647,
3666,3878,3879,3885,3888,4127,4142,4236,4346],[1,2,4,5,6,7,8,9,10,12,13,22,26,
28,29,31,32,34,40,41,42,44,46,50,51,73,74,101,118,120,121,122,123,124,125,126,
130,139,140,141,143,145,146,153,155,156,159,160,162,168,172,173,174,199,206,
208,215,216,258,366,367,380,381,383,384,385,386,387,388,389,393,399,400,401,
402,405,409,414,445,446,447,448,454,474,479,500,501,507,508,521,522,528,536,
569,574,576,586,597,619,629,630,631,632,650,651,848,857,865,866,867,868,869,
870,871,876,877,883,911,915,930,942,945,946,955,961,1038,1069,1070,1156,1225,
1294,1295,1297,1303,1304,1317,1318,1319,1320,1321,1343,1344,1351,1361,1512,
1513,1535,1562,1564,1566,1569,1570,1571,1577,1584,1586,1594,1602,1642,1644,
1658,1665,1669,1672,1678,1699,1708,1790,1810,2086,2087,2097,2099,2103,2109,
2136,2139,2143,2166,2167,2311,2312,2387,2394,2465,2535,2537,2567,2568,2569,
2570,2588,2758,2783,2784,2811,2812,2841,2844,2845,3163,3165,3171,3193,3199,
3200,3214,3216,3378,3381,3490,3491,3646,3665,3878,3879,3886,3887,4125,4141,
4236,4347],[1,2,4,6,9,10,11,12,13,22,24,26,29,31,42,48,49,50,51,57,73,74,78,82
,96,100,101,102,135,136,140,141,144,172,216,218,236,237,238,257,258,259,316,
420,421,422,423,424,437,438,439,446,447,448,450,451,501,503,565,659,661,664,
671,687,688,716,717,847,967,968,969,970,985,1002,1003,1004,1005,1006,1007,1008
,1058,1070,1084,1335,1357,1358,1359,1375,1388,1720,1731,1732,1733,1749,1750,
1751,1769,1817,1818,1832,1845,2084,2193,2194,2196,2198,2199,2200,2201,2228,
2472,2478,2479,2499,2500,2547,2548,2549,2591,2595,2900,2909,2910,2964,3138,
3426,3427,3431,3461,3752,3753,3756,3839,3856,3978,4348],[1,2,3,4,5,6,8,9,10,11
,12,13,14,15,16,17,18,19,20,21,22,23,24,25,28,29,32,35,40,41,44,50,51,52,53,54
,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,82,87
,88,89,90,91,92,93,94,95,100,101,103,104,105,106,107,108,109,110,111,112,118,
120,121,139,141,144,145,148,152,153,155,156,157,160,162,168,173,174,179,180,
188,189,190,199,201,206,207,218,219,221,222,223,224,225,226,227,228,229,230,
231,232,233,234,236,237,239,240,241,242,243,244,245,246,247,248,249,250,251,
252,253,257,258,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,
275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,
294,295,296,297,298,299,331,332,333,334,335,336,337,338,339,340,346,347,348,
349,350,351,366,369,381,386,405,445,447,449,450,457,460,474,479,482,483,484,
485,494,500,502,507,510,521,522,524,528,536,551,556,557,559,560,569,576,577,
586,593,597,607,608,613,616,618,619,629,665,667,668,669,670,688,689,690,694,
695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,734,735,
737,738,739,740,741,742,743,750,751,752,753,754,755,756,757,758,759,760,761,
762,763,764,765,766,767,769,770,771,772,773,774,775,776,777,784,785,786,787,
788,789,790,791,792,793,794,795,799,800,801,802,803,804,805,806,807,808,809,
810,811,812,857,866,867,868,873,876,884,911,918,919,930,955,1039,1041,1042,
1043,1045,1047,1051,1058,1059,1064,1065,1067,1069,1071,1072,1078,1083,1089,
1090,1098,1099,1104,1115,1117,1125,1126,1139,1141,1156,1167,1168,1169,1183,
1185,1191,1192,1202,1203,1206,1207,1208,1217,1225,1231,1232,1243,1246,1254,
1263,1264,1294,1387,1412,1413,1414,1415,1417,1418,1419,1421,1422,1423,1424,
1425,1426,1431,1432,1433,1445,1456,1457,1458,1459,1460,1461,1466,1467,1468,
1472,1473,1474,1475,1476,1477,1478,1479,1490,1491,1492,1497,1498,1499,1504,
1505,1512,1515,1552,1562,1577,1579,1584,1592,1613,1617,1642,1648,1658,1818,
1824,1840,1841,1844,1851,1852,1855,1856,1857,1858,1865,1874,1875,1876,1877,
1888,1889,1891,1897,1902,1908,1910,1913,1914,1925,1934,1939,1940,1944,1948,
1955,1956,1970,1971,1981,1988,2009,2017,2036,2044,2052,2086,2103,2242,2255,
2266,2273,2274,2275,2287,2289,2290,2294,2300,2301,2302,2307,2311,2330,2350,
2370,2387,2398,2400,2407,2408,2418,2594,2606,2607,2609,2610,2614,2622,2623,
2636,2637,2638,2640,2642,2643,2646,2647,2649,2650,2659,2660,2661,2670,2677,
2678,2681,2687,2688,2689,2690,2691,2770,2783,2950,2965,2966,2984,2990,2992,
3004,3005,3012,3047,3053,3056,3061,3064,3070,3245,3250,3252,3262,3270,3275,
3287,3288,3290,3298,3308,3311,3502,3503,3505,3510,3521,3522,3523,3536,3537,
3571,3737,3757,3777,3891,3893,3907,3910,3921,3923,4051,4055,4154,4239,4349],[1
,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,28,29,31,32,33,
35,40,41,42,44,45,46,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,
68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,94,95,
96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,
118,120,121,139,141,144,145,148,152,153,155,156,157,160,162,165,166,168,172,
173,174,179,180,182,183,184,185,186,187,188,189,190,199,201,206,207,218,220,
221,222,223,224,225,226,228,229,230,231,232,233,234,235,236,237,238,242,243,
244,245,247,250,251,254,255,256,257,258,259,261,262,263,264,265,266,268,269,
270,271,272,273,274,275,278,279,281,283,284,285,286,287,290,291,292,293,294,
295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,
314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,333,
334,335,336,337,338,340,341,342,343,344,345,366,369,380,381,382,386,388,389,
405,409,445,447,449,450,451,457,459,460,474,482,483,484,494,500,502,503,507,
509,510,511,513,519,520,521,522,524,526,528,549,551,552,553,554,555,557,559,
560,569,573,576,577,611,613,616,618,619,622,629,666,667,668,669,670,671,672,
673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,691,692,693,
694,695,696,700,701,707,708,709,710,711,712,713,714,715,716,717,719,720,721,
723,724,725,726,728,729,733,735,736,737,742,744,745,746,747,748,749,750,751,
752,753,754,756,757,758,759,760,761,762,767,768,784,788,789,791,792,793,794,
796,797,798,829,830,831,832,833,834,857,866,867,868,873,877,878,879,894,911,
918,919,930,939,943,946,955,1039,1041,1042,1043,1045,1047,1051,1054,1055,1058,
1059,1064,1065,1067,1069,1071,1072,1078,1083,1084,1089,1090,1091,1092,1093,
1094,1098,1099,1100,1101,1102,1104,1115,1117,1126,1134,1139,1141,1183,1202,
1206,1207,1208,1217,1225,1226,1231,1232,1233,1271,1294,1318,1387,1388,1390,
1391,1392,1393,1395,1396,1397,1398,1399,1400,1401,1402,1403,1406,1408,1409,
1410,1411,1415,1416,1417,1418,1419,1420,1422,1423,1424,1425,1426,1427,1428,
1429,1430,1432,1434,1480,1482,1483,1484,1485,1487,1489,1512,1515,1552,1562,
1577,1579,1580,1584,1588,1589,1592,1630,1632,1633,1642,1646,1647,1658,1668,
1817,1818,1819,1824,1838,1839,1840,1841,1844,1845,1846,1847,1850,1851,1855,
1856,1857,1865,1874,1877,1888,1889,1891,1892,1893,1894,1895,1897,1899,1901,
1902,1906,1907,1908,1909,1910,1922,1925,1944,1948,1949,1955,1956,1957,1958,
1970,1971,2103,2139,2240,2241,2242,2246,2248,2249,2250,2251,2252,2253,2254,
2294,2300,2301,2302,2307,2350,2355,2387,2397,2398,2400,2407,2408,2418,2421,
2594,2595,2596,2597,2598,2599,2600,2606,2607,2610,2613,2614,2616,2617,2618,
2622,2623,2638,2639,2640,2642,2643,2644,2688,2689,2690,2691,2709,2715,2716,
2770,2783,2843,2951,2965,2966,2976,2977,2978,2984,2987,2990,2992,3004,3005,
3006,3011,3012,3053,3070,3082,3244,3245,3247,3249,3250,3252,3258,3268,3269,
3272,3276,3277,3278,3279,3308,3348,3493,3494,3495,3496,3497,3502,3503,3521,
3522,3523,3533,3534,3536,3537,3541,3580,3733,3747,3757,3776,3777,3891,3892,
3893,3902,3903,3904,3905,3915,3923,3924,4051,4062,4152,4163,4239,4245,4350],[1
,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,28,29,32,35,40,
41,44,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,73,74,75,
76,77,79,80,81,82,87,89,90,91,92,94,95,100,101,103,104,105,106,107,108,109,110
,111,112,116,117,118,120,121,139,141,144,145,148,152,153,155,156,157,160,162,
168,173,174,179,180,188,189,190,199,201,206,207,218,221,222,223,224,225,226,
228,229,230,231,232,233,234,236,237,239,242,243,244,245,246,247,250,251,252,
253,257,258,261,262,263,264,265,266,268,269,270,271,272,273,274,275,278,279,
281,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,331,333,334,
335,336,337,338,340,352,353,354,355,356,357,366,369,381,386,405,445,447,449,
450,457,460,474,482,483,484,494,500,502,507,510,521,522,524,528,551,557,559,
560,569,576,577,613,616,618,619,625,629,667,668,669,670,688,694,695,696,700,
701,707,708,709,710,711,718,722,727,730,731,732,735,737,742,750,751,752,753,
754,756,757,758,759,760,761,762,767,778,779,780,781,782,783,784,785,788,789,
790,791,792,793,794,795,835,836,841,842,849,852,857,866,867,868,873,911,918,
919,930,955,1039,1041,1042,1043,1045,1047,1051,1058,1059,1064,1065,1067,1069,
1071,1072,1078,1083,1089,1090,1098,1099,1104,1115,1117,1126,1139,1141,1183,
1185,1202,1206,1207,1208,1217,1225,1231,1232,1270,1294,1387,1415,1417,1418,
1419,1422,1423,1424,1425,1426,1432,1446,1448,1450,1453,1454,1455,1469,1470,
1471,1481,1486,1488,1490,1506,1512,1515,1552,1562,1577,1579,1584,1592,1608,
1609,1642,1658,1818,1824,1840,1841,1844,1851,1855,1856,1857,1865,1874,1877,
1888,1889,1891,1897,1902,1908,1910,1925,1944,1948,1955,1956,1970,1971,1973,
1990,2045,2103,2147,2242,2268,2269,2271,2272,2281,2288,2294,2300,2301,2302,
2307,2350,2387,2398,2400,2407,2408,2418,2439,2594,2606,2607,2610,2614,2622,
2623,2638,2640,2642,2643,2649,2679,2688,2689,2690,2691,2708,2770,2783,2960,
2965,2966,2984,2990,2992,3004,3005,3012,3053,3070,3245,3250,3252,3265,3266,
3308,3328,3502,3503,3517,3518,3521,3522,3523,3536,3537,3741,3757,3777,3891,
3893,3912,3913,3923,4051,4057,4162,4239,4351],[1,2,3,4,5,6,8,9,10,11,12,13,14,
15,16,17,19,20,21,22,23,24,25,28,29,30,31,32,33,35,37,38,40,41,42,44,45,46,49,
50,51,52,53,54,55,56,57,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,
81,82,85,86,87,88,89,90,91,92,93,96,99,100,101,102,103,104,105,106,107,108,109
,110,113,114,116,118,120,121,139,141,144,145,148,153,155,156,157,158,159,160,
161,162,165,168,169,170,171,172,173,174,175,176,179,180,181,184,185,186,187,
188,189,190,192,195,199,201,202,204,205,206,207,208,218,219,220,221,227,228,
229,230,231,232,233,234,236,237,238,239,240,241,242,243,244,245,246,247,248,
249,254,255,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,
273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,300,
301,302,303,304,305,316,326,327,328,329,330,331,332,336,337,338,339,340,343,
344,346,347,350,351,352,356,357,358,361,362,363,366,369,372,378,379,380,381,
382,383,386,387,388,389,391,392,405,409,445,447,449,450,451,457,459,460,469,
471,472,474,475,476,477,478,479,482,483,484,485,490,491,492,493,494,495,497,
498,500,502,503,507,509,510,513,520,521,522,523,524,525,528,529,530,531,532,
533,534,535,536,537,538,539,540,541,542,543,544,545,546,549,551,556,557,559,
560,561,569,570,571,572,573,574,576,577,578,579,583,584,585,586,587,588,589,
593,594,595,597,598,599,600,601,605,606,607,608,609,611,612,613,614,615,616,
618,619,620,621,622,624,625,626,629,665,667,668,671,684,685,686,687,688,689,
690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,716,717,718,719,
720,721,722,723,724,734,737,740,741,742,743,755,756,757,758,759,760,761,762,
763,764,765,766,767,768,769,772,773,774,778,783,784,785,786,787,788,796,799,
800,801,802,803,804,805,806,809,810,811,812,813,814,815,816,821,828,829,835,
837,844,849,857,866,867,868,873,876,877,878,879,880,881,884,885,887,889,890,
895,906,911,915,918,919,923,924,930,935,939,942,945,946,955,958,961,1039,1041,
1045,1046,1047,1051,1055,1058,1059,1066,1067,1068,1069,1071,1072,1078,1083,
1084,1089,1090,1091,1092,1093,1094,1098,1103,1104,1114,1115,1117,1119,1121,
1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1136,1137,1138,
1139,1142,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,
1158,1159,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,
1180,1181,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,
1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,
1211,1212,1213,1214,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1228,
1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,
1244,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,1257,1258,1259,1260,
1261,1262,1263,1264,1265,1267,1268,1269,1270,1271,1272,1273,1274,1279,1280,
1281,1283,1284,1285,1286,1287,1288,1289,1294,1300,1305,1317,1318,1388,1389,
1390,1391,1392,1393,1394,1395,1408,1413,1414,1417,1427,1431,1432,1433,1435,
1436,1437,1446,1447,1448,1449,1456,1457,1458,1459,1460,1461,1462,1463,1467,
1468,1471,1487,1488,1489,1492,1493,1503,1512,1515,1526,1527,1528,1532,1533,
1538,1539,1552,1554,1562,1563,1566,1577,1579,1580,1584,1585,1592,1602,1603,
1604,1609,1613,1617,1625,1626,1627,1628,1629,1630,1642,1647,1648,1654,1658,
1665,1669,1672,1678,1680,1682,1684,1685,1691,1699,1704,1708,1817,1818,1819,
1824,1825,1829,1840,1841,1845,1846,1847,1851,1852,1855,1856,1857,1858,1866,
1867,1870,1871,1872,1874,1875,1876,1877,1888,1889,1890,1891,1899,1902,1907,
1910,1913,1914,1918,1920,1921,1922,1923,1924,1925,1926,1927,1928,1929,1930,
1931,1932,1933,1934,1939,1942,1943,1944,1945,1946,1948,1950,1955,1957,1958,
1959,1960,1961,1962,1963,1964,1965,1966,1967,1968,1969,1970,1973,1974,1975,
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,
2006,2007,2008,2009,2010,2012,2013,2014,2015,2016,2017,2018,2022,2023,2024,
2025,2026,2027,2028,2029,2030,2031,2032,2033,2034,2035,2036,2037,2038,2039,
2040,2041,2042,2043,2044,2046,2047,2048,2049,2050,2051,2052,2053,2054,2055,
2056,2057,2058,2059,2060,2061,2066,2071,2072,2073,2074,2086,2090,2098,2103,
2128,2130,2136,2138,2139,2147,2245,2246,2256,2257,2258,2259,2267,2268,2274,
2282,2285,2294,2300,2301,2307,2309,2311,2313,2314,2315,2330,2334,2335,2342,
2343,2344,2345,2346,2350,2352,2354,2370,2373,2382,2387,2389,2393,2397,2398,
2400,2403,2407,2408,2411,2413,2417,2418,2423,2425,2427,2430,2433,2436,2444,
2446,2447,2465,2595,2596,2597,2598,2605,2609,2610,2615,2616,2617,2623,2626,
2627,2628,2640,2647,2650,2659,2660,2661,2662,2664,2665,2666,2667,2668,2669,
2670,2672,2673,2674,2675,2676,2679,2680,2681,2682,2683,2684,2685,2686,2687,
2688,2694,2695,2696,2697,2698,2699,2700,2701,2702,2703,2704,2705,2706,2707,
2710,2711,2712,2713,2714,2715,2718,2719,2720,2721,2722,2723,2724,2725,2727,
2728,2729,2730,2760,2770,2783,2787,2789,2799,2811,2833,2834,2840,2845,2851,
2963,2965,2966,2971,2972,2976,2977,2978,2982,2984,2989,2990,2992,2995,3004,
3007,3008,3011,3012,3014,3015,3018,3019,3021,3030,3031,3032,3033,3044,3045,
3046,3047,3051,3052,3053,3056,3058,3061,3064,3065,3066,3070,3071,3073,3074,
3076,3078,3079,3082,3083,3085,3089,3090,3092,3093,3095,3103,3256,3257,3279,
3281,3282,3283,3284,3285,3286,3289,3290,3292,3293,3294,3295,3296,3297,3308,
3311,3336,3347,3371,3378,3386,3493,3496,3497,3501,3505,3510,3516,3517,3522,
3527,3528,3530,3531,3533,3537,3550,3554,3555,3556,3558,3560,3562,3563,3564,
3565,3568,3570,3571,3572,3575,3576,3579,3580,3750,3757,3759,3761,3773,3776,
3777,3780,3782,3894,3899,3903,3907,3913,3927,3929,4053,4055,4057,4058,4059,
4060,4062,4064,4067,4068,4071,4158,4241,4242,4243,4244,4246,4247,4248,4352],[1
,2,4,5,6,9,10,11,12,13,22,24,26,27,28,29,32,35,40,44,50,51,57,73,74,82,100,101
,118,130,132,134,136,139,141,144,153,155,168,173,174,189,199,206,215,218,236,
237,257,258,366,369,381,405,414,415,418,420,428,429,445,447,450,474,479,500,
528,536,569,586,597,627,650,656,660,688,857,876,884,918,930,971,986,987,1039,
1058,1069,1115,1156,1290,1291,1343,1345,1351,1356,1361,1366,1512,1562,1584,
1617,1721,1818,1851,2077,2079,2080,2166,2170,2179,2185,2208,2294,2311,2567,
2743,2873,2880,2883,2895,2965,3115,3199,3208,3214,3404,3584,3674,3687,3930,
3983,4250,4353],[1,2,4,5,6,8,9,10,12,13,19,20,22,23,24,26,27,28,29,31,32,34,35
,38,40,41,42,44,46,50,65,71,74,75,76,87,88,100,101,107,121,130,132,134,136,139
,140,143,145,147,155,156,162,163,172,173,174,177,178,179,180,188,189,190,197,
199,200,206,209,215,216,221,237,240,241,260,262,282,367,379,384,386,387,388,
409,414,415,416,418,420,423,428,429,433,448,449,454,455,456,479,480,481,483,
500,505,551,556,560,562,575,576,586,592,604,607,627,650,651,656,658,660,661,
690,865,866,883,891,892,906,927,946,947,971,984,986,987,994,1040,1041,1060,
1081,1083,1115,1116,1160,1167,1290,1291,1343,1344,1349,1351,1352,1356,1357,
1361,1364,1366,1371,1513,1514,1567,1571,1592,1593,1639,1721,1726,1826,1852,
1853,2077,2079,2080,2167,2168,2177,2179,2180,2185,2187,2208,2213,2295,2329,
2331,2568,2569,2743,2875,2877,2880,2882,2886,2887,2895,2897,2967,3115,3116,
3200,3201,3210,3211,3216,3217,3409,3411,3584,3585,3675,3676,3692,3694,3930,
3931,3985,3987,4252,4354],[1,2,3,4,6,7,10,13,14,16,19,21,23,24,26,27,29,33,35,
36,39,44,45,47,63,65,68,79,90,92,100,107,124,130,132,134,136,140,146,150,159,
166,182,183,185,189,195,198,200,209,216,227,240,246,266,268,370,375,393,394,
410,415,416,418,423,429,433,453,461,463,486,487,505,554,561,582,592,603,627,
651,658,661,699,869,897,898,904,928,949,984,986,994,1048,1062,1085,1116,1163,
1290,1291,1344,1347,1348,1352,1357,1364,1371,1517,1581,1595,1640,1726,1828,
1859,2077,2079,2080,2169,2173,2174,2180,2187,2213,2296,2326,2570,2743,2879,
2882,2891,2897,2969,3116,3204,3212,3218,3412,3585,3679,3696,3931,3988,4251,
4355],[1,2,4,5,6,9,10,11,12,13,19,20,22,23,26,27,28,32,35,40,41,44,50,57,65,71
,73,75,76,77,87,107,108,118,130,132,134,136,139,141,144,153,155,160,162,168,
173,174,179,180,190,195,201,206,215,218,221,261,262,263,281,331,369,381,383,
405,414,416,420,423,428,429,433,436,438,445,449,457,484,485,500,507,522,528,
556,557,559,560,569,593,607,627,650,652,656,660,663,742,857,881,884,924,930,
945,971,984,994,997,1007,1011,1017,1021,1022,1039,1041,1058,1078,1083,1126,
1139,1168,1290,1291,1343,1345,1353,1356,1361,1366,1370,1374,1376,1378,1515,
1562,1584,1629,1642,1752,1778,1874,1948,2080,2082,2083,2166,2168,2179,2185,
2197,2202,2211,2216,2294,2330,2418,2567,2749,2873,2877,2887,2888,2902,2922,
2929,2992,3115,3203,3208,3214,3221,3417,3434,3584,3586,3590,3674,3690,3703,
3932,3934,4004,4008,4250,4356],[1,2,4,5,6,8,9,10,12,13,14,19,20,22,23,26,27,28
,29,32,35,38,40,41,43,44,50,63,65,71,73,75,76,77,81,108,110,121,130,132,134,
136,139,140,143,145,147,155,156,158,159,160,168,171,173,179,180,188,189,194,
195,204,208,215,216,221,227,281,286,288,289,339,379,386,387,390,408,414,416,
420,423,428,429,433,436,438,445,449,471,497,498,500,505,506,523,540,541,551,
556,557,561,574,595,609,627,650,651,652,656,658,660,661,663,764,865,866,903,
906,926,937,938,971,984,989,997,1007,1011,1017,1021,1022,1040,1041,1048,1060,
1072,1078,1124,1144,1181,1290,1291,1343,1344,1349,1354,1356,1357,1362,1366,
1370,1371,1374,1376,1378,1526,1566,1592,1593,1634,1643,1754,1778,1876,1954,
2080,2082,2083,2166,2168,2179,2180,2185,2187,2197,2202,2212,2216,2295,2345,
2414,2568,2569,2749,2875,2877,2879,2885,2888,2903,2922,2931,3000,3115,3116,
3205,3210,3211,3215,3220,3418,3436,3584,3585,3586,3590,3675,3676,3693,3702,
3932,3935,4003,4012,4252,4357],[1,2,3,4,5,6,8,9,10,12,13,15,16,17,19,20,21,22,
23,26,27,28,29,30,31,32,33,35,37,38,40,41,42,44,45,46,50,52,55,65,68,70,71,74,
79,80,81,92,107,108,121,130,131,132,134,135,136,139,140,143,145,147,155,156,
162,165,166,169,172,173,175,176,180,182,183,184,185,186,187,188,189,192,201,
206,215,216,221,232,268,270,272,287,331,372,379,386,387,388,391,409,414,416,
420,423,424,425,428,429,430,431,433,436,438,448,453,458,476,478,500,502,505,
511,526,533,549,551,552,553,554,555,556,576,593,600,627,650,651,653,655,656,
658,659,660,661,664,757,865,866,885,887,889,906,923,935,946,971,978,984,994,
997,1006,1011,1016,1019,1020,1040,1041,1051,1060,1076,1085,1134,1139,1152,1290
,1291,1343,1344,1349,1353,1356,1357,1361,1366,1367,1368,1369,1371,1375,1377,
1380,1516,1571,1588,1592,1593,1625,1646,1752,1777,1878,1955,2080,2082,2083,
2167,2169,2178,2179,2180,2185,2187,2198,2204,2211,2217,2295,2319,2421,2568,
2569,2749,2875,2877,2878,2890,2891,2902,2919,2929,3001,3115,3116,3202,3209,
3210,3211,3216,3222,3424,3433,3584,3585,3587,3589,3675,3676,3691,3704,3933,
3934,4007,4010,4252,4358],[1,2,3,4,5,6,9,11,12,13,21,25,26,27,28,32,33,35,40,
45,50,57,66,86,91,113,118,130,132,133,134,136,137,139,141,144,153,173,174,183,
215,218,254,300,369,381,382,419,420,428,429,434,459,500,509,528,627,650,656,
660,691,852,857,884,894,971,1039,1058,1290,1291,1292,1343,1345,1356,1366,1541,
1584,1819,1846,2078,2080,2081,2175,2179,2181,2185,2294,2567,2747,2873,2977,
3115,3208,3584,3674,4250,4359],[1,2,3,4,6,7,10,13,14,19,21,25,26,27,29,35,36,
39,44,47,58,63,65,91,95,112,124,130,132,133,134,136,137,140,146,150,159,189,
195,198,216,227,252,293,375,393,396,419,423,429,433,434,466,505,516,561,627,
651,658,661,705,856,869,899,904,984,1048,1062,1290,1291,1292,1344,1347,1348,
1357,1371,1550,1595,1820,1848,2078,2080,2081,2171,2180,2183,2187,2296,2570,
2747,2879,2979,3116,3212,3585,3679,4251,4360],[1,2,3,4,6,7,10,13,14,19,21,25,
26,27,29,35,36,39,44,47,59,63,65,91,94,112,124,130,132,133,134,136,137,140,146
,150,159,189,195,198,216,227,252,294,375,393,395,419,423,429,433,434,465,505,
517,561,627,651,658,661,706,855,869,900,904,984,1048,1062,1290,1291,1292,1344,
1347,1348,1357,1371,1549,1595,1821,1849,2078,2080,2081,2172,2180,2182,2187,
2296,2570,2747,2879,2980,3116,3212,3585,3679,4251,4361],[1,2,4,5,6,9,10,12,13,
19,22,23,25,26,27,28,29,32,35,40,44,50,65,73,75,76,77,103,107,108,110,118,130,
132,134,136,139,140,173,189,201,204,206,208,215,216,247,249,281,331,339,350,
351,366,369,405,414,416,417,420,423,428,429,433,436,438,445,446,449,452,500,
505,593,595,627,650,651,656,658,660,661,810,848,849,852,918,958,961,971,984,
989,990,994,997,1007,1011,1017,1021,1022,1038,1078,1080,1117,1118,1139,1144,
1290,1291,1343,1344,1353,1354,1356,1357,1361,1362,1366,1371,1607,1608,1680,
1722,1725,1752,1754,1778,1783,1784,1810,1811,1812,1914,1915,2080,2082,2083,
2179,2180,2185,2187,2196,2197,2202,2203,2211,2212,2428,2524,2574,2575,2580,
2581,2582,2585,2749,2896,2898,2902,2903,2922,2923,2929,2931,3115,3116,3193,
3223,3233,3236,3466,3469,3584,3585,3681,3722,3934,3935,4018,4079,4253,4362],[1
,2,4,5,6,9,10,12,13,19,22,23,24,26,27,28,29,32,35,40,44,50,65,73,75,76,77,100,
101,107,108,118,130,132,134,136,139,140,173,189,199,200,206,209,215,216,237,
240,281,331,332,346,347,366,369,405,414,415,416,418,420,423,428,429,433,436,
438,445,446,449,452,500,505,586,592,627,650,651,656,658,660,661,809,848,849,
918,954,955,971,984,986,987,994,997,1007,1011,1017,1021,1022,1038,1078,1080,
1115,1116,1139,1140,1290,1291,1343,1344,1351,1352,1356,1357,1361,1364,1366,
1371,1607,1613,1614,1721,1726,1752,1753,1778,1781,1782,1810,1811,1812,1912,
1913,2077,2079,2080,2179,2180,2185,2187,2196,2197,2202,2203,2208,2213,2358,
2527,2580,2581,2582,2588,2589,2743,2880,2882,2895,2897,2922,2923,2929,2932,
3115,3116,3193,3229,3230,3236,3470,3471,3584,3585,3681,3720,3930,3931,3994,
4079,4253,4363],[1,2,3,4,5,6,9,10,12,13,14,15,16,17,19,22,23,26,27,28,29,31,32
,33,35,40,41,42,44,45,50,51,52,54,55,62,63,64,65,73,74,75,76,77,79,80,81,101,
108,109,110,118,130,131,132,134,135,136,139,140,160,165,168,172,173,179,180,
184,185,186,187,189,215,216,228,229,258,281,283,284,285,286,287,290,340,366,
369,380,381,382,383,405,414,416,420,422,423,424,425,426,427,428,429,430,431,
433,436,438,445,446,448,449,452,453,500,501,502,504,505,549,557,627,650,651,
652,653,655,656,658,659,660,661,663,664,767,848,849,876,877,878,879,880,881,
918,939,945,968,969,971,977,978,979,980,981,982,983,984,997,1000,1003,1006,
1007,1011,1012,1016,1017,1019,1020,1021,1022,1038,1047,1049,1069,1070,1071,
1072,1073,1074,1075,1076,1078,1080,1290,1291,1343,1344,1356,1357,1366,1367,
1368,1369,1370,1371,1374,1375,1376,1377,1378,1380,1535,1536,1537,1538,1607,
1628,1630,1715,1719,1732,1735,1739,1742,1743,1775,1776,1777,1778,1810,1811,
1812,1813,1814,1815,1816,1877,1887,2080,2082,2083,2166,2167,2168,2169,2179,
2180,2185,2186,2187,2188,2192,2193,2196,2197,2198,2202,2203,2204,2216,2217,
2384,2491,2576,2577,2578,2579,2580,2581,2582,2583,2584,2586,2587,2749,2888,
2890,2905,2906,2908,2909,2912,2913,2918,2919,2920,2921,2922,2923,3115,3116,
3193,3224,3225,3227,3228,3234,3235,3236,3450,3451,3584,3585,3586,3587,3589,
3590,3665,3666,3681,3721,3932,3933,3991,4079,4253,4254,4255,4364],[1,2,4,5,6,9
,10,12,13,19,22,23,24,26,27,28,29,32,35,40,41,44,50,65,73,75,76,77,100,101,107
,108,118,130,132,134,136,139,141,153,160,162,168,173,179,180,189,199,201,204,
206,207,208,215,216,217,237,240,281,331,332,346,347,366,369,381,383,405,414,
415,416,418,420,423,428,429,433,436,438,445,447,449,457,474,482,483,484,500,
507,522,557,586,593,595,613,616,618,619,627,650,651,652,654,656,658,660,661,
663,809,857,876,880,881,918,945,955,958,961,971,984,986,987,994,997,1007,1011,
1017,1021,1022,1038,1078,1098,1115,1139,1183,1191,1192,1202,1232,1243,1264,
1290,1291,1343,1351,1353,1354,1356,1358,1360,1361,1362,1363,1365,1366,1370,
1371,1373,1374,1376,1378,1379,1381,1512,1515,1613,1628,1642,1680,1699,1704,
1712,1721,1726,1752,1753,1778,1781,1782,1810,1811,1812,1814,1816,1913,2052,
2077,2079,2080,2082,2083,2166,2168,2179,2185,2189,2195,2197,2201,2202,2207,
2208,2211,2212,2215,2216,2218,2219,2220,2222,2223,2224,2225,2226,2398,2400,
2407,2436,2468,2469,2527,2567,2573,2574,2575,2577,2579,2580,2583,2587,2588,
2743,2749,2880,2888,2895,2902,2917,2922,2928,2929,2933,2934,2935,2937,2938,
2939,3056,3115,3117,3118,3119,3120,3121,3199,3203,3221,3226,3229,3231,3232,
3233,3235,3237,3239,3301,3447,3470,3472,3584,3586,3588,3590,3595,3701,3705,
3707,3715,3716,3717,3724,3810,3930,3932,3934,3938,4032,4034,4080,4081,4082,
4166,4256,4257,4258,4365],[1,2,5,6,8,9,10,22,26,28,29,40,44,48,73,118,120,121,
130,139,140,141,143,145,153,155,156,168,199,206,215,366,381,386,405,414,439,
440,442,445,446,447,474,569,629,650,848,857,865,866,867,868,911,930,955,1294,
1343,1344,1361,1383,1512,1562,1564,1577,1658,2097,2103,2166,2547,2567,2568,
2783,3193,3214,3479,3878,4168,4366],[1,2,5,6,7,8,9,10,22,26,28,29,40,43,44,48,
73,118,121,124,125,126,130,139,140,141,142,145,146,153,154,156,159,168,199,208
,216,366,387,393,408,414,439,441,443,445,446,447,474,574,631,651,848,857,860,
861,862,863,866,869,914,937,953,1297,1343,1344,1362,1384,1512,1566,1569,1578,
1664,2099,2105,2166,2547,2569,2570,2779,3193,3215,3478,3879,4168,4367],[1,2,5,
6,7,8,9,10,22,26,28,29,44,48,73,118,121,124,125,126,130,139,140,145,146,156,
159,208,214,216,366,387,393,439,440,441,442,443,445,446,574,631,643,644,648,
651,847,848,866,869,1033,1036,1037,1297,1339,1343,1344,1382,1383,1384,1385,
1386,1511,1566,1569,1797,1798,1799,1800,1801,1802,1803,2084,2099,2229,2238,
2239,2556,2557,2565,2569,2570,2590,2750,2944,2945,2946,3193,3241,3303,3304,
3487,3488,3730,3879,3939,3940,4169,4368],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,
18,19,20,21,22,23,24,25,26,28,30,32,40,41,49,50,51,52,53,54,55,56,57,58,59,60,
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
,110,111,112,113,114,115,116,117,130,131,132,135,136,139,153,155,157,158,160,
161,162,168,169,170,171,173,174,175,176,179,180,181,190,199,201,202,205,206,
207,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,
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,
350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,414,415,416,
417,420,421,422,423,424,425,426,427,428,429,430,431,432,433,435,436,437,438,
445,449,474,475,476,477,478,479,482,483,484,485,490,491,492,493,494,495,500,
502,520,521,522,523,524,525,528,529,530,531,532,533,534,535,536,537,538,539,
540,541,542,543,544,545,546,556,557,559,560,569,570,571,572,573,576,577,578,
579,583,584,585,586,587,588,589,593,594,597,598,599,600,601,605,606,607,608,
611,612,613,614,615,616,618,619,620,621,622,624,625,626,665,666,667,668,669,
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,
841,842,843,844,845,846,967,968,969,970,971,972,973,974,975,976,977,978,979,
980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,999,
1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,
1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1039,1041,1042,
1047,1051,1066,1067,1068,1069,1071,1072,1078,1083,1089,1115,1117,1121,1122,
1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1136,1137,1138,1139,
1141,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,
1159,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,
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,
1213,1214,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1228,1229,1230,
1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,1246,
1247,1248,1249,1250,1251,1252,1253,1254,1255,1257,1258,1259,1260,1261,1262,
1263,1264,1265,1267,1268,1269,1270,1271,1272,1273,1274,1279,1280,1281,1283,
1284,1285,1286,1287,1288,1289,1343,1387,1388,1389,1390,1391,1392,1393,1394,
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,
1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,1714,1715,1716,1717,
1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1731,1732,1733,
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,
1779,1780,1781,1782,1783,1784,1785,1786,1787,1788,1789,1838,1840,1841,1844,
1851,1852,1855,1856,1857,1858,1865,1870,1871,1872,1874,1875,1876,1877,1888,
1889,1901,1907,1908,1909,1910,1913,1914,1920,1921,1922,1923,1924,1925,1926,
1927,1928,1929,1930,1931,1932,1933,1934,1939,1940,1943,1944,1945,1946,1948,
1949,1955,1956,1957,1958,1959,1960,1961,1962,1963,1964,1965,1966,1967,1968,
1969,1970,1971,1973,1974,1975,1976,1977,1978,1979,1980,1981,1982,1983,1984,
1985,1986,1987,1988,1989,1990,1991,1992,1993,1994,1995,1996,1997,1998,1999,
2000,2001,2002,2003,2004,2005,2006,2007,2008,2009,2010,2012,2013,2014,2015,
2016,2017,2018,2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2032,2033,
2034,2035,2036,2037,2038,2039,2040,2041,2042,2043,2044,2045,2046,2047,2048,
2049,2050,2051,2052,2053,2054,2055,2056,2057,2058,2059,2060,2061,2066,2071,
2072,2073,2074,2166,2168,2178,2179,2240,2241,2242,2243,2244,2245,2246,2247,
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,
2471,2472,2473,2474,2475,2476,2477,2478,2479,2482,2483,2484,2485,2486,2487,
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,
2518,2519,2520,2522,2523,2524,2525,2526,2527,2528,2529,2530,2531,2594,2609,
2610,2614,2615,2616,2626,2627,2628,2636,2637,2638,2639,2640,2642,2643,2644,
2646,2647,2649,2650,2659,2660,2661,2664,2665,2666,2667,2668,2669,2670,2672,
2673,2674,2675,2676,2677,2678,2679,2680,2681,2682,2683,2684,2685,2686,2687,
2688,2689,2690,2691,2694,2695,2696,2697,2698,2699,2700,2701,2702,2703,2704,
2705,2706,2707,2708,2709,2710,2711,2712,2713,2714,2718,2719,2720,2721,2722,
2723,2724,2725,2726,2727,2728,2729,2730,2731,2873,2874,2876,2877,2878,2880,
2881,2883,2884,2885,2887,2888,2889,2901,2902,2949,2950,2951,2952,2953,2954,
2955,2956,2957,2958,2959,2960,2961,2962,2963,3124,3127,3128,3129,3130,3131,
3132,3133,3134,3135,3136,3137,3138,3139,3140,3141,3142,3143,3144,3145,3146,
3147,3148,3149,3151,3247,3249,3250,3252,3256,3257,3262,3265,3266,3268,3269,
3270,3273,3274,3275,3281,3282,3283,3284,3285,3286,3287,3288,3289,3290,3292,
3293,3294,3295,3296,3297,3298,3400,3401,3402,3403,3404,3405,3406,3407,3408,
3410,3411,3413,3414,3415,3416,3417,3418,3419,3420,3421,3422,3432,3433,3434,
3435,3437,3438,3439,3440,3441,3447,3448,3462,3489,3597,3598,3599,3600,3601,
3602,3603,3731,3736,3737,3738,3741,3745,3747,3750,3811,3812,3813,3815,3816,
3817,3818,3819,3820,3821,3822,3823,3824,3825,3829,3830,3831,3833,3834,3835,
3836,3837,3838,3840,3841,3844,3847,3848,3849,3850,3857,3941,4046,4083,4086,
4087,4088,4089,4090,4091,4092,4093,4094,4095,4096,4097,4098,4101,4102,4105,
4259,4260,4261,4262,4263,4264,4265,4369],[1,2,4,5,6,7,8,9,10,12,13,19,20,23,25
,28,29,31,32,34,35,38,39,40,41,42,43,44,46,50,65,71,75,77,81,87,93,103,107,110
,118,119,120,121,122,123,124,125,126,127,128,129,139,141,142,143,145,146,151,
153,154,155,156,158,160,161,162,163,164,168,172,173,174,177,178,179,180,188,
189,190,194,200,201,202,203,204,205,209,210,221,247,248,249,262,267,288,366,
367,369,376,380,381,383,384,385,386,387,388,389,390,393,399,400,401,402,403,
404,405,406,407,408,409,413,449,455,464,467,470,473,478,480,481,482,485,493,
496,500,506,507,522,525,528,551,557,559,560,562,570,575,578,580,592,604,612,
615,620,629,630,631,632,633,634,635,636,637,638,639,640,641,642,703,849,852,
857,858,859,860,861,862,863,864,866,867,868,871,872,876,877,880,881,882,883,
895,911,912,913,914,916,918,919,929,930,931,932,936,938,942,944,945,946,948,
951,952,954,956,957,958,962,963,1041,1044,1063,1083,1096,1117,1119,1120,1126,
1160,1188,1200,1211,1221,1257,1260,1293,1294,1295,1296,1297,1299,1303,1304,
1309,1317,1318,1319,1320,1321,1324,1330,1331,1332,1333,1514,1519,1531,1537,
1539,1542,1552,1563,1567,1568,1572,1573,1574,1575,1583,1584,1592,1601,1602,
1608,1609,1614,1618,1626,1627,1628,1642,1653,1659,1660,1661,1663,1667,1669,
1673,1675,1679,1691,1701,1710,1790,1791,1792,1793,1794,1795,1796,1831,1858,
1869,1985,2085,2086,2087,2088,2092,2102,2103,2104,2105,2106,2107,2108,2111,
2112,2113,2114,2115,2117,2119,2120,2121,2124,2125,2126,2136,2137,2139,2143,
2147,2148,2149,2150,2151,2152,2298,2329,2354,2364,2365,2369,2378,2383,2389,
2418,2425,2439,2464,2535,2537,2538,2539,2540,2541,2765,2766,2770,2772,2777,
2780,2781,2782,2786,2798,2806,2809,2810,2814,2815,2823,2831,2832,2833,2835,
2837,2845,2849,2855,2858,2859,2860,2941,2973,3090,3099,3152,3155,3156,3157,
3163,3165,3168,3169,3170,3172,3173,3174,3175,3179,3181,3306,3312,3328,3330,
3334,3341,3342,3344,3347,3356,3357,3379,3476,3614,3617,3620,3627,3631,3632,
3633,3638,3649,3650,3787,3801,3865,3866,3942,3944,3945,3947,3949,3951,3954,
4110,4118,4176,4189,4194,4269,4370],[1,2,3,4,5,6,7,8,9,10,12,13,15,16,17,19,20
,21,22,23,28,29,30,31,32,33,34,35,37,40,41,42,43,44,45,46,50,52,55,65,68,70,71
,74,79,80,81,92,107,108,118,119,120,121,122,123,124,125,126,127,128,129,139,
141,142,143,145,146,151,153,154,155,156,160,162,165,166,168,170,172,173,174,
175,176,179,180,181,182,183,184,185,186,187,188,189,190,191,193,205,206,208,
221,232,268,270,272,287,331,366,367,368,369,371,372,380,381,382,383,384,385,
386,387,388,389,390,391,392,393,399,400,401,402,405,406,407,408,409,411,412,
413,454,458,500,502,506,507,511,522,526,528,529,532,544,546,549,551,552,553,
554,555,557,558,559,560,576,597,598,599,600,605,620,621,629,630,631,632,633,
634,635,636,637,638,639,640,641,642,757,848,849,857,858,859,860,861,862,863,
864,866,867,868,871,872,876,877,878,879,880,881,883,886,887,888,894,895,905,
911,912,913,914,917,918,919,920,921,922,930,933,934,938,939,940,941,942,943,
944,945,946,957,961,963,964,965,1041,1044,1051,1063,1095,1105,1126,1127,1134,
1137,1139,1142,1248,1249,1250,1253,1293,1294,1295,1296,1297,1298,1300,1303,
1304,1309,1310,1311,1312,1313,1317,1318,1319,1320,1321,1324,1325,1326,1327,
1328,1329,1535,1536,1537,1538,1540,1551,1552,1553,1570,1584,1585,1588,1589,
1592,1596,1597,1598,1599,1601,1602,1606,1607,1620,1626,1627,1628,1630,1632,
1633,1636,1637,1638,1642,1646,1668,1669,1670,1671,1673,1677,1708,1790,1791,
1792,1793,1794,1795,1796,1896,1930,1955,2085,2086,2087,2088,2090,2091,2092,
2095,2097,2098,2099,2102,2103,2104,2105,2106,2107,2108,2111,2112,2113,2114,
2115,2120,2121,2122,2123,2126,2136,2139,2143,2150,2151,2152,2154,2156,2161,
2162,2298,2304,2354,2355,2356,2377,2380,2381,2384,2417,2418,2421,2427,2533,
2534,2535,2537,2538,2544,2546,2758,2759,2760,2761,2763,2765,2766,2767,2768,
2769,2770,2771,2772,2773,2774,2777,2778,2820,2821,2828,2829,2830,2841,2843,
2845,2846,2847,2849,2857,2861,2862,2863,2941,2998,3024,3095,3152,3155,3156,
3157,3163,3165,3168,3169,3171,3172,3173,3174,3176,3177,3181,3306,3307,3310,
3317,3318,3347,3348,3350,3358,3359,3360,3361,3474,3605,3606,3614,3617,3618,
3628,3640,3646,3652,3763,3793,3865,3866,3942,3943,3944,3945,3952,3964,3965,
4115,4117,4174,4183,4269,4371],[1,2,4,5,6,7,8,9,10,12,13,19,20,22,23,28,29,32,
35,38,39,40,41,43,44,46,50,51,65,71,73,74,75,76,77,101,108,118,119,120,121,122
,123,124,125,126,127,128,129,139,141,142,143,145,146,151,153,154,155,156,159,
160,162,164,168,173,174,179,180,188,189,190,194,195,199,201,203,204,206,208,
210,219,221,258,280,281,282,332,366,369,373,374,375,376,377,378,379,381,383,
386,387,390,393,401,403,404,405,406,407,408,413,445,447,449,457,467,471,474,
479,482,483,484,485,496,497,498,500,506,507,508,521,522,528,536,551,556,557,
559,560,561,569,574,576,580,586,593,595,597,607,609,613,619,629,630,631,632,
633,634,635,636,637,638,639,640,641,642,743,857,858,859,860,861,862,863,864,
866,867,868,871,872,876,880,881,884,895,903,904,906,911,912,913,914,915,918,
919,924,925,926,930,937,938,942,944,945,948,953,955,956,957,958,959,960,961,
963,1041,1044,1052,1063,1069,1078,1098,1125,1126,1143,1156,1167,1168,1169,1181
,1202,1203,1225,1243,1254,1293,1294,1296,1297,1299,1305,1306,1307,1308,1309,
1314,1315,1316,1317,1319,1324,1512,1515,1519,1520,1521,1522,1523,1524,1525,
1526,1527,1528,1552,1554,1562,1566,1572,1577,1578,1583,1584,1592,1594,1601,
1602,1613,1617,1626,1627,1628,1629,1634,1642,1648,1654,1656,1658,1664,1665,
1667,1669,1672,1673,1678,1680,1682,1684,1685,1686,1687,1690,1691,1699,1704,
1705,1708,1790,1791,1792,1793,1794,1795,1796,1875,1951,2009,2085,2086,2088,
2092,2101,2102,2103,2104,2105,2106,2107,2108,2110,2111,2112,2113,2114,2115,
2116,2118,2120,2121,2126,2127,2128,2131,2136,2141,2150,2151,2152,2153,2155,
2298,2311,2330,2345,2346,2349,2352,2354,2370,2373,2387,2407,2418,2430,2433,
2436,2444,2446,2447,2454,2465,2532,2535,2538,2542,2543,2545,2765,2766,2770,
2772,2776,2777,2779,2783,2786,2787,2791,2795,2797,2799,2801,2802,2803,2804,
2805,2808,2811,2813,2816,2818,2822,2825,2845,2849,2856,2865,2870,2871,2941,
2996,3047,3103,3152,3155,3156,3157,3158,3163,3168,3169,3172,3173,3174,3178,
3180,3181,3306,3311,3321,3323,3327,3333,3336,3338,3347,3353,3368,3371,3376,
3378,3475,3607,3610,3614,3617,3619,3629,3637,3648,3651,3771,3782,3865,3866,
3942,3944,3945,3946,3950,3957,3966,4111,4116,4172,4190,4269,4372],[1,2,3,4,5,6
,7,8,10,13,16,18,21,25,28,29,32,33,35,36,38,39,40,44,45,46,47,51,68,72,83,84,
91,97,98,103,115,118,119,120,121,122,123,124,125,126,127,128,129,143,146,149,
152,155,166,167,168,173,182,183,185,189,196,198,264,310,317,318,366,369,370,
373,374,375,376,377,378,379,381,382,386,387,393,394,395,396,397,398,401,403,
404,405,410,508,519,536,554,563,567,568,629,630,631,632,633,634,635,636,637,
638,639,640,641,642,674,852,853,854,855,856,871,875,876,878,884,894,896,897,
898,899,900,901,904,906,918,928,930,943,949,950,1294,1297,1299,1301,1302,1305,
1306,1307,1308,1314,1315,1316,1317,1319,1322,1323,1541,1545,1546,1549,1550,
1560,1561,1594,1605,1608,1612,1617,1632,1640,1641,1790,1791,1792,1793,1794,
1795,1796,1836,2086,2089,2094,2128,2131,2132,2133,2136,2144,2145,2146,2379,
2386,2532,2535,2536,2542,2543,2545,2754,2755,2787,2792,2793,2941,3152,3153,
3154,3155,3158,3159,3161,3162,3163,3164,3167,3475,3608,3609,3610,3611,3612,
3615,3616,3621,3622,3623,3624,3629,3630,3866,3867,3959,3961,3962,3963,4111,
4112,4113,4114,4175,4373],[1,4,8,20,24,27,34,38,46,88,96,116,119,134,138,147,
197,358,371,403,418,456,566,850,902,1276,1334,1346,1349,1543,1556,1695,2177,
2459,3194,3653,3697,4374],[1,4,8,20,25,27,34,38,46,93,97,117,122,134,138,147,
197,359,374,399,419,468,567,854,909,1278,1334,1346,1349,1548,1560,1698,2176,
2460,3198,3653,3699,4375],[1,4,8,20,25,27,34,38,46,93,98,117,123,134,138,147,
197,360,373,400,419,468,568,853,908,1277,1334,1346,1349,1547,1561,1697,2176,
2461,3197,3653,3698,4376],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,19,21,22,23
,24,25,28,29,30,31,32,33,35,37,38,40,41,42,44,45,46,48,49,50,51,52,54,55,57,62
,63,64,65,66,67,68,69,70,73,74,75,76,77,78,79,80,81,82,85,86,89,90,91,96,99,
100,101,102,103,104,105,108,109,110,113,114,121,140,141,143,144,145,148,153,
155,157,160,162,165,169,170,171,172,173,174,175,176,180,181,184,185,186,187,
189,192,201,202,206,207,214,218,220,228,229,232,233,234,236,237,238,242,243,
244,245,247,254,255,257,258,259,264,265,266,273,274,281,283,284,285,286,287,
290,300,301,302,303,304,305,316,326,327,328,329,330,336,340,343,344,372,379,
386,387,388,391,409,439,440,442,446,447,448,450,451,452,453,457,458,459,460,
464,469,471,472,476,478,484,485,490,492,495,501,503,504,505,507,508,509,510,
513,520,521,522,524,528,529,531,532,533,538,539,540,542,543,544,545,546,549,
556,565,566,569,573,576,577,584,587,588,593,594,600,601,606,607,611,612,614,
615,618,619,622,624,667,671,684,685,686,687,688,691,692,693,694,695,696,700,
701,716,717,719,720,721,723,724,756,767,768,784,788,796,829,865,867,873,885,
887,889,906,923,935,946,1033,1037,1049,1055,1058,1059,1067,1070,1073,1074,1075
,1076,1080,1084,1090,1091,1092,1093,1094,1097,1098,1114,1121,1122,1127,1128,
1129,1130,1136,1146,1152,1154,1157,1158,1159,1168,1179,1180,1186,1188,1190,
1196,1197,1204,1205,1209,1213,1217,1225,1226,1231,1232,1233,1236,1242,1244,
1247,1252,1255,1258,1259,1261,1265,1267,1268,1269,1271,1273,1274,1282,1335,
1383,1388,1390,1391,1392,1393,1395,1408,1427,1432,1487,1489,1516,1518,1527,
1532,1533,1564,1571,1577,1579,1580,1587,1593,1602,1603,1604,1625,1644,1647,
1689,1817,1818,1819,1824,1825,1829,1832,1833,1845,1846,1847,1871,1887,1899,
1902,1907,1922,1925,1926,1928,1957,1958,1961,1962,1965,1966,1967,1975,1978,
1980,1982,1984,1989,1991,1992,1993,2008,2010,2039,2053,2055,2056,2059,2164,
2238,2246,2316,2319,2320,2332,2335,2342,2343,2344,2346,2350,2394,2397,2406,
2411,2416,2423,2466,2547,2548,2549,2550,2553,2591,2592,2593,2595,2596,2597,
2598,2605,2616,2617,2623,2626,2628,2645,2666,2667,2685,2686,2694,2696,2697,
2699,2715,3011,3012,3018,3019,3021,3023,3040,3051,3082,3093,3186,3187,3190,
3191,3257,3260,3279,3479,3480,3486,3530,3531,3542,3545,3546,3562,3563,3570,
3575,3580,3872,3873,3877,3920,3929,3978,4195,4274,4377],[1,2,3,4,5,6,8,9,11,12
,13,14,15,16,17,18,21,26,28,30,32,40,41,44,50,52,54,55,57,58,59,60,61,64,67,68
,69,70,118,120,121,130,131,132,135,136,139,141,144,145,148,152,153,156,157,160
,162,169,170,171,173,174,175,176,181,215,216,218,222,223,224,225,226,229,232,
233,234,381,383,387,405,420,421,422,424,425,426,427,428,429,430,431,432,500,
502,507,510,522,524,528,529,531,532,533,539,543,544,545,546,629,650,651,652,
663,667,669,670,857,866,867,868,873,911,942,945,969,970,971,972,973,974,975,
977,978,979,980,981,1038,1039,1042,1043,1045,1047,1051,1058,1059,1064,1065,
1067,1127,1128,1129,1130,1317,1343,1356,1358,1359,1360,1378,1379,1387,1584,
1585,1602,1603,1642,1669,1716,1717,1718,1719,1720,1810,1841,1844,1871,1902,
2103,2178,2179,2185,2186,2189,2191,2192,2195,2294,2300,2301,2302,2307,2350,
2413,2417,2471,2567,2569,2573,2594,2606,2607,2845,2873,2874,2876,2878,2899,
2900,2904,2905,2984,3007,3021,3221,3231,3308,3402,3403,3425,3430,3490,3502,
3503,3521,3674,3677,3680,3684,3685,3759,3811,3995,3997,4051,4135,4196,4197,
4378],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,26,28,29,30,31,
32,33,34,35,37,40,41,42,43,44,45,50,51,52,53,54,55,56,57,62,63,64,65,67,68,69,
70,71,73,74,75,76,77,79,80,81,87,92,101,106,107,108,109,110,118,120,121,130,
132,136,139,140,141,143,153,154,155,156,157,158,160,161,162,165,166,168,169,
170,171,172,173,174,175,176,179,180,181,182,183,184,185,186,187,188,189,190,
191,193,199,201,205,206,215,218,221,228,229,230,231,232,233,234,258,261,262,
263,268,269,270,271,272,275,278,279,281,283,284,285,286,287,290,331,337,338,
340,366,367,369,372,380,381,382,383,384,385,386,390,391,392,405,407,408,414,
416,420,428,429,445,446,447,448,449,452,453,454,457,458,474,475,476,477,479,
482,483,484,491,494,500,501,502,504,505,506,507,522,523,524,525,526,528,529,
530,531,532,533,534,535,536,537,538,539,541,543,544,545,546,549,551,552,553,
554,555,557,558,559,560,569,570,571,572,578,583,584,585,586,589,597,598,599,
600,605,613,616,620,621,629,650,652,663,667,668,737,742,757,758,759,760,761,
762,767,848,849,857,865,876,877,878,879,880,881,883,886,887,888,894,895,905,
911,913,914,918,919,921,922,933,934,938,939,940,941,942,943,944,945,971,994,
997,1039,1040,1044,1045,1047,1049,1051,1053,1067,1068,1069,1070,1071,1072,1073
,1074,1075,1076,1078,1079,1080,1083,1085,1086,1089,1095,1098,1104,1105,1123,
1126,1127,1128,1129,1130,1131,1132,1133,1134,1137,1145,1146,1147,1148,1149,
1150,1151,1156,1170,1172,1173,1174,1175,1176,1178,1183,1198,1199,1201,1202,
1206,1207,1208,1212,1219,1220,1221,1223,1237,1238,1239,1240,1248,1249,1250,
1253,1293,1294,1295,1296,1300,1343,1344,1351,1353,1360,1378,1379,1417,1512,
1513,1515,1516,1535,1536,1537,1538,1540,1552,1553,1562,1563,1564,1565,1584,
1585,1586,1587,1606,1607,1620,1626,1627,1628,1630,1632,1633,1636,1637,1638,
1642,1643,1668,1669,1670,1671,1673,1752,1841,1842,1871,1872,1873,1874,1877,
1878,1879,1880,1881,1887,1888,1889,1891,1896,1920,1930,1932,1943,1944,1995,
1996,1997,1998,1999,2000,2001,2005,2085,2086,2087,2088,2090,2091,2092,2095,
2097,2098,2120,2121,2122,2123,2166,2167,2168,2169,2179,2180,2195,2219,2220,
2304,2307,2308,2311,2312,2313,2314,2315,2316,2317,2318,2334,2336,2354,2355,
2356,2377,2380,2381,2384,2388,2389,2390,2393,2402,2404,2407,2408,2413,2415,
2417,2419,2567,2568,2610,2612,2664,2758,2759,2760,2761,2763,2765,2766,2767,
2768,2769,2777,2778,2820,2821,2873,2875,2887,2888,2890,2891,2917,2988,2990,
3007,3009,3014,3016,3024,3031,3032,3033,3036,3041,3042,3043,3044,3193,3199,
3200,3202,3203,3220,3221,3306,3307,3310,3358,3359,3360,3361,3417,3424,3526,
3527,3665,3666,3681,3685,3686,3707,3708,3709,3710,3763,3878,3981,3990,3991,
4001,4002,4125,4126,4129,4198,4281,4284,4285,4379],[1,2,4,5,6,8,9,10,11,12,13,
19,20,22,23,24,26,28,29,31,32,34,35,40,42,44,50,51,57,65,71,73,74,75,76,77,82,
87,88,100,101,107,108,118,120,121,130,132,136,139,140,141,143,144,145,147,153,
155,156,163,168,172,173,174,177,178,188,189,199,200,206,209,215,218,219,221,
236,237,239,240,241,257,258,260,261,262,263,280,281,282,331,332,346,347,366,
367,369,380,381,384,385,386,405,414,415,420,428,429,445,446,447,448,449,450,
452,454,455,456,474,479,480,481,500,501,505,528,536,551,562,569,575,586,592,
597,604,629,650,688,689,690,742,743,769,799,800,809,848,849,857,865,866,867,
868,876,877,882,883,884,911,918,919,929,930,954,955,971,986,987,1039,1040,1041
,1050,1058,1060,1069,1070,1078,1079,1080,1081,1082,1083,1115,1116,1139,1140,
1156,1160,1294,1295,1343,1344,1351,1356,1456,1512,1513,1514,1535,1539,1552,
1562,1564,1567,1568,1577,1584,1586,1592,1606,1607,1613,1614,1617,1618,1648,
1653,1658,1659,1721,1818,1826,1851,1852,1853,1854,1873,1874,1875,1882,1912,
1913,1934,1935,1947,1948,2086,2087,2097,2103,2166,2167,2179,2180,2185,2294,
2295,2304,2311,2312,2329,2358,2360,2361,2369,2370,2376,2567,2568,2650,2651,
2758,2770,2782,2783,2873,2875,2880,2882,2883,2886,2895,2965,2967,2992,2993,
2994,3026,3193,3199,3200,3311,3312,3317,3404,3409,3505,3506,3665,3674,3675,
3681,3764,3878,3981,3983,3985,3989,3994,4125,4200,4278,4380],[1,2,3,4,5,6,7,8,
9,10,12,13,14,15,16,17,19,20,21,22,23,24,26,28,29,31,32,33,34,35,36,40,41,44,
45,50,52,55,56,62,63,65,68,70,71,73,74,75,76,77,79,80,81,87,88,90,92,100,101,
106,107,108,109,110,118,121,124,125,126,130,132,136,139,140,143,145,146,147,
150,155,156,159,162,166,173,174,177,179,180,182,183,184,185,189,190,195,199,
200,206,208,209,216,221,227,231,232,237,240,241,243,245,246,248,260,262,266,
268,270,272,275,278,279,281,282,283,285,286,287,288,289,331,332,338,339,346,
347,351,366,367,369,370,382,383,387,388,393,394,398,402,405,415,416,423,429,
433,445,446,448,449,452,453,454,455,456,461,463,479,480,483,486,487,500,502,
504,505,547,552,554,556,560,561,574,576,582,586,590,592,602,603,607,631,651,
690,699,700,704,757,761,763,764,772,801,804,805,806,809,811,848,849,865,866,
869,870,871,878,880,891,894,895,897,915,918,924,942,943,954,955,984,986,994,
1040,1041,1048,1051,1053,1060,1062,1071,1072,1073,1076,1077,1078,1080,1081,
1083,1085,1086,1089,1115,1116,1139,1140,1144,1161,1163,1167,1297,1302,1303,
1343,1344,1352,1357,1461,1513,1514,1517,1536,1540,1554,1566,1569,1570,1571,
1581,1582,1588,1590,1593,1595,1607,1609,1613,1614,1626,1632,1654,1655,1665,
1666,1726,1826,1828,1852,1853,1856,1859,1864,1876,1878,1881,1883,1884,1889,
1912,1913,1916,1936,1937,1939,1953,1954,1955,2093,2094,2099,2109,2168,2169,
2179,2180,2187,2295,2296,2305,2322,2325,2326,2331,2358,2363,2365,2373,2374,
2380,2569,2570,2655,2658,2661,2762,2775,2784,2785,2877,2879,2880,2882,2887,
2891,2897,2967,2969,3000,3001,3002,3003,3027,3193,3201,3204,3314,3315,3319,
3411,3412,3509,3511,3666,3676,3679,3681,3765,3879,3982,3987,3988,3990,3994,
4127,4201,4280,4381],[1,2,4,5,6,8,9,10,11,12,13,14,19,20,22,23,25,26,28,29,32,
35,38,40,44,50,57,63,65,71,73,75,76,77,81,87,89,93,103,107,108,110,118,120,121
,130,132,136,139,140,141,143,144,145,147,153,155,156,159,173,174,180,188,189,
195,201,204,206,208,215,218,221,227,242,246,247,248,249,261,262,263,265,267,
281,286,288,289,331,339,350,351,366,369,378,379,381,386,387,405,420,423,428,
429,433,436,438,445,446,449,452,457,460,464,468,471,484,485,497,498,500,505,
528,551,556,561,569,574,593,595,607,609,629,650,656,660,695,698,703,742,764,
773,801,802,810,848,849,852,857,865,866,867,868,884,906,911,915,918,919,924,
958,961,971,984,1007,1011,1017,1021,1022,1039,1040,1041,1048,1058,1060,1072,
1077,1078,1079,1080,1083,1117,1118,1139,1144,1168,1181,1294,1305,1317,1343,
1344,1356,1366,1457,1515,1518,1526,1527,1528,1552,1554,1562,1564,1566,1584,
1592,1593,1606,1607,1608,1609,1678,1680,1682,1684,1685,1778,1824,1830,1855,
1858,1860,1863,1873,1874,1876,1884,1914,1915,1938,1939,1948,1954,2097,2103,
2128,2147,2179,2180,2185,2197,2202,2294,2295,2304,2305,2330,2332,2345,2428,
2429,2430,2438,2439,2567,2568,2656,2660,2770,2799,2811,2850,2873,2875,2877,
2879,2902,2903,2922,2966,2970,2992,2993,3000,3106,3193,3208,3210,3317,3328,
3336,3434,3436,3510,3512,3674,3675,3681,3798,3878,3981,3982,4008,4012,4018,
4132,4226,4278,4382],[1,2,4,5,6,7,8,9,10,11,12,13,14,19,20,22,23,25,26,28,29,
32,35,38,39,40,44,50,57,63,65,71,73,75,76,77,81,87,89,93,103,107,108,110,118,
121,124,125,126,130,132,136,139,140,143,145,146,147,150,153,155,156,159,173,
174,180,188,189,195,201,204,206,208,216,218,221,227,242,246,247,248,249,261,
262,263,265,267,281,286,288,289,331,339,350,351,366,369,375,376,377,379,386,
387,393,405,420,423,428,429,433,436,438,445,446,449,452,462,464,468,470,471,
484,485,497,498,500,505,528,551,556,561,569,574,593,595,607,609,631,651,658,
661,695,698,703,742,764,773,801,802,810,848,849,852,865,866,869,870,871,904,
906,911,915,918,919,924,958,961,971,984,1007,1011,1017,1021,1022,1039,1040,
1041,1048,1060,1062,1072,1077,1078,1079,1080,1083,1117,1118,1139,1144,1168,
1181,1297,1307,1319,1343,1344,1357,1371,1457,1518,1526,1529,1530,1531,1552,
1554,1564,1566,1569,1592,1593,1595,1606,1607,1608,1609,1678,1680,1682,1684,
1685,1778,1827,1830,1855,1858,1860,1863,1873,1874,1876,1884,1914,1915,1938,
1939,1948,1954,2099,2109,2131,2149,2179,2180,2187,2196,2203,2295,2296,2304,
2305,2332,2345,2347,2428,2429,2430,2438,2439,2569,2570,2656,2660,2775,2800,
2812,2852,2873,2875,2877,2879,2902,2903,2923,2968,2970,2993,3000,3003,3106,
3193,3211,3212,3319,3329,3337,3434,3436,3508,3512,3676,3679,3681,3799,3879,
3981,3982,4009,4011,4018,4133,4226,4280,4383],[1,2,4,5,6,7,8,9,10,11,12,13,14,
19,20,22,23,25,26,28,29,32,35,38,39,40,44,50,57,63,65,71,73,75,76,77,81,87,89,
93,103,107,108,110,118,121,124,125,126,130,132,136,139,140,141,142,145,146,148
,151,153,155,156,159,173,174,180,188,189,195,201,204,206,208,216,218,221,227,
242,246,247,248,249,261,262,263,265,267,281,286,288,289,331,339,350,351,366,
369,375,376,377,379,386,387,393,405,420,423,428,429,433,436,438,445,446,447,
449,452,457,467,470,471,472,473,484,485,497,498,500,505,507,528,551,556,561,
569,574,593,595,607,609,631,651,658,661,695,698,703,742,764,773,801,802,810,
848,849,852,861,862,864,866,867,869,904,906,911,915,918,919,924,958,961,971,
984,1007,1011,1017,1021,1022,1039,1040,1041,1045,1046,1048,1059,1063,1072,1077
,1078,1079,1080,1083,1098,1103,1104,1117,1118,1119,1139,1142,1144,1168,1181,
1297,1307,1319,1343,1344,1358,1371,1457,1522,1523,1524,1526,1527,1529,1552,
1554,1566,1569,1577,1578,1592,1595,1601,1602,1606,1607,1608,1609,1678,1680,
1682,1684,1685,1778,1829,1831,1855,1858,1860,1863,1866,1867,1873,1874,1876,
1884,1890,1891,1914,1915,1918,1938,1939,1942,1948,1950,1954,2099,2106,2131,
2149,2179,2180,2189,2201,2207,2297,2300,2304,2305,2345,2346,2347,2349,2428,
2429,2430,2438,2439,2569,2570,2656,2660,2662,2772,2802,2813,2852,2873,2875,
2877,2879,2902,2903,2928,2971,2974,2995,2997,2999,3004,3106,3193,3211,3212,
3318,3330,3338,3434,3436,3514,3516,3677,3678,3681,3800,3879,3981,3982,4015,
4016,4018,4133,4226,4279,4384],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,19,20,
21,22,23,26,28,29,31,32,33,35,40,41,42,44,45,46,50,51,52,53,54,55,56,57,62,63,
64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,87,92,101,106,107,108,109,110,118
,120,121,130,132,136,139,140,141,143,144,145,147,153,155,156,160,162,165,166,
168,172,173,174,179,180,182,183,184,185,186,187,188,189,190,206,215,218,221,
228,229,230,231,232,233,234,258,261,262,263,268,269,270,271,272,275,278,279,
281,283,284,285,286,287,290,331,337,338,340,366,369,380,381,382,383,386,387,
388,389,405,409,414,416,420,428,429,445,446,448,449,452,453,500,501,502,504,
505,507,508,510,511,512,521,522,526,528,549,551,552,553,554,555,557,559,560,
569,576,619,629,650,667,668,737,742,757,758,759,760,761,762,767,848,849,857,
865,866,867,868,876,877,878,879,880,881,894,895,911,918,919,930,939,942,943,
945,946,971,994,997,1039,1040,1041,1047,1049,1051,1053,1058,1060,1069,1070,
1071,1072,1073,1074,1075,1076,1078,1079,1080,1083,1085,1086,1089,1126,1134,
1139,1225,1294,1317,1318,1343,1344,1356,1361,1417,1535,1536,1537,1538,1540,
1552,1562,1564,1571,1584,1588,1589,1592,1602,1606,1607,1626,1627,1628,1630,
1632,1633,1642,1644,1646,1668,1669,1752,1840,1841,1842,1873,1874,1877,1878,
1879,1880,1881,1887,1888,1889,1902,1904,1910,1948,1955,2097,2103,2136,2139,
2166,2167,2168,2169,2179,2180,2185,2294,2295,2304,2354,2355,2377,2380,2381,
2384,2387,2394,2418,2421,2567,2568,2610,2612,2640,2770,2841,2843,2845,2873,
2875,2887,2888,2890,2891,2929,2984,2986,2992,2993,3001,3024,3193,3214,3216,
3317,3347,3348,3417,3424,3537,3538,3665,3666,3674,3675,3681,3793,3878,3981,
3990,3991,4004,4007,4141,4198,4278,4385],[1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,
17,19,20,22,23,26,28,29,31,32,33,35,40,41,42,44,45,46,47,50,51,52,53,54,55,56,
62,63,64,65,71,73,74,75,76,77,79,80,81,101,108,109,110,118,121,124,125,126,130
,132,136,139,140,143,145,146,147,150,155,156,159,160,163,165,166,168,172,173,
177,178,179,180,184,185,186,187,189,195,208,209,216,219,221,227,228,229,230,
231,258,280,281,282,283,284,285,286,287,288,289,290,332,339,340,366,369,380,
381,382,383,384,387,393,394,397,401,405,409,410,414,416,423,429,433,445,446,
448,449,452,453,500,501,502,504,505,508,511,512,514,515,521,526,527,536,547,
548,549,550,556,557,561,562,574,575,581,582,623,631,651,665,668,734,743,763,
764,765,766,767,848,849,865,866,869,870,871,876,877,878,879,880,881,882,884,
915,918,924,929,930,939,945,947,949,984,987,997,1040,1041,1047,1048,1049,1050,
1053,1060,1062,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1080,1081,
1082,1125,1135,1140,1144,1227,1297,1320,1322,1343,1344,1357,1364,1414,1535,
1536,1537,1538,1539,1554,1566,1567,1569,1581,1586,1590,1591,1593,1594,1595,
1607,1609,1617,1618,1628,1629,1630,1631,1644,1645,1646,1672,1674,1753,1840,
1842,1843,1875,1876,1877,1882,1883,1884,1885,1886,1887,1903,1904,1911,1947,
1952,1953,1954,2099,2109,2142,2144,2166,2167,2168,2169,2179,2180,2187,2295,
2296,2305,2352,2353,2376,2382,2383,2384,2395,2396,2420,2422,2569,2570,2609,
2611,2641,2775,2842,2844,2848,2877,2879,2883,2886,2888,2890,2932,2985,2986,
2994,3000,3002,3003,3025,3193,3217,3218,3319,3346,3349,3420,3423,3539,3540,
3665,3666,3676,3679,3681,3792,3879,3982,3989,3991,4005,4006,4142,4199,4280,
4386],[1,2,4,5,6,8,9,10,11,12,13,19,20,22,23,24,26,28,29,31,32,35,40,41,42,43,
44,46,50,51,57,65,71,73,74,75,76,77,82,87,88,100,101,107,108,118,120,121,130,
132,136,139,140,141,143,153,154,155,156,157,158,159,160,161,162,163,164,168,
172,173,174,177,178,188,189,199,200,205,206,207,208,209,210,215,218,219,221,
236,237,239,240,241,257,258,260,261,262,263,280,281,282,331,332,346,347,366,
369,380,381,383,386,387,388,389,390,405,407,408,409,414,415,420,428,429,445,
446,448,449,452,474,479,480,481,500,501,505,506,507,508,521,522,523,524,525,
528,536,551,562,569,570,571,572,574,575,576,577,578,579,580,586,592,597,604,
618,619,620,621,629,650,652,663,688,689,690,742,743,769,799,800,809,848,849,
857,865,876,877,882,884,911,913,914,915,916,918,919,929,930,931,932,936,937,
938,942,944,945,946,951,952,953,954,955,961,962,971,986,987,1039,1040,1041,
1044,1045,1046,1050,1052,1066,1067,1068,1069,1070,1078,1079,1080,1081,1082,
1083,1115,1116,1137,1138,1139,1140,1142,1143,1156,1160,1217,1218,1219,1220,
1221,1222,1223,1224,1225,1228,1229,1230,1231,1232,1234,1235,1293,1294,1296,
1317,1318,1343,1344,1360,1361,1363,1378,1379,1456,1535,1539,1552,1562,1563,
1564,1565,1571,1606,1607,1613,1614,1617,1618,1642,1643,1644,1648,1653,1658,
1659,1660,1661,1663,1664,1665,1669,1672,1673,1675,1678,1679,1699,1701,1708,
1710,1721,1851,1852,1853,1854,1873,1874,1875,1882,1912,1913,1920,1921,1923,
1924,1925,1934,1935,1947,1948,1950,1951,2018,2022,2023,2026,2085,2097,2098,
2116,2117,2118,2119,2120,2121,2136,2137,2139,2141,2166,2167,2179,2180,2195,
2225,2226,2304,2307,2308,2309,2310,2358,2360,2361,2369,2370,2376,2387,2388,
2389,2390,2391,2392,2393,2394,2398,2399,2426,2427,2464,2465,2567,2568,2650,
2651,2710,2777,2797,2798,2806,2808,2820,2821,2822,2823,2840,2841,2855,2856,
2873,2875,2880,2882,2883,2886,2939,3014,3015,3016,3017,3026,3052,3053,3054,
3055,3072,3073,3076,3077,3083,3084,3193,3214,3216,3220,3221,3310,3333,3334,
3362,3365,3366,3367,3404,3409,3578,3579,3665,3681,3685,3686,3705,3706,3712,
3713,3794,3878,3981,3989,3994,4025,4026,4129,4141,4200,4281,4282,4283,4387],[1
,2,3,4,5,6,8,9,10,12,13,14,15,16,17,19,20,21,22,23,24,26,28,29,30,32,33,35,37,
38,40,41,43,44,45,50,52,55,56,62,63,65,68,70,71,73,74,75,76,77,79,80,81,87,88,
90,92,100,101,106,107,108,109,110,118,120,121,130,132,136,139,140,141,143,153,
155,158,159,160,162,166,168,170,171,173,174,175,176,179,180,181,182,183,185,
188,189,190,193,194,195,199,200,201,205,206,207,208,209,210,215,221,227,231,
232,237,240,241,243,245,246,248,260,262,266,268,270,272,275,278,279,281,282,
283,285,286,287,288,289,331,332,338,339,346,347,351,366,369,372,378,379,381,
382,383,386,387,390,391,392,405,407,408,415,416,423,429,433,445,446,449,452,
453,457,458,464,476,477,478,479,483,484,485,486,487,491,494,500,502,504,505,
506,507,522,523,528,529,532,535,538,540,541,544,546,554,556,557,559,560,561,
569,570,571,572,576,582,584,585,586,589,592,593,597,598,599,600,603,605,606,
607,608,609,610,615,616,618,619,620,621,629,650,652,656,660,663,690,699,700,
704,757,761,763,764,772,801,804,805,806,809,811,848,849,857,865,878,880,881,
884,887,894,895,903,905,906,915,918,919,921,924,925,926,930,937,938,940,941,
942,943,944,945,951,952,953,954,955,961,962,984,986,994,1041,1048,1051,1053,
1071,1072,1073,1077,1078,1080,1083,1085,1086,1089,1096,1103,1104,1105,1115,
1116,1124,1126,1127,1131,1137,1138,1139,1140,1142,1143,1146,1151,1153,1155,
1163,1167,1168,1174,1175,1178,1193,1199,1208,1210,1213,1223,1229,1232,1234,
1235,1239,1241,1246,1247,1248,1249,1250,1251,1252,1253,1254,1257,1258,1259,
1262,1263,1264,1293,1294,1296,1300,1305,1317,1343,1344,1353,1363,1366,1370,
1374,1376,1378,1461,1515,1516,1518,1536,1540,1554,1562,1563,1564,1565,1584,
1585,1587,1593,1607,1609,1613,1614,1626,1627,1629,1632,1634,1637,1642,1643,
1648,1650,1651,1652,1654,1655,1656,1665,1666,1682,1683,1699,1701,1708,1711,
1726,1852,1856,1859,1864,1876,1881,1884,1889,1912,1913,1930,1931,1936,1939,
1941,1942,1953,1955,1968,1976,1978,1979,1981,2000,2004,2024,2026,2030,2031,
2046,2047,2088,2090,2092,2095,2097,2098,2110,2116,2118,2119,2120,2121,2122,
2127,2128,2147,2168,2169,2179,2180,2216,2219,2225,2305,2314,2315,2316,2321,
2330,2332,2334,2336,2358,2363,2365,2373,2374,2380,2390,2393,2398,2399,2402,
2403,2405,2408,2414,2417,2418,2419,2426,2427,2442,2444,2567,2568,2658,2661,
2727,2759,2763,2766,2768,2806,2808,2809,2816,2818,2819,2820,2850,2851,2854,
2856,2877,2879,2880,2882,2887,2891,2937,3027,3033,3034,3042,3045,3062,3063,
3064,3065,3066,3067,3083,3084,3094,3095,3193,3202,3203,3208,3210,3220,3221,
3351,3353,3354,3356,3358,3363,3365,3411,3412,3560,3561,3666,3681,3702,3703,
3705,3706,3708,3710,3791,3878,3982,3990,3994,4027,4028,4126,4129,4132,4201,
4282,4284,4287,4388],[1,2,4,5,6,8,9,10,11,12,13,14,19,20,22,23,25,26,28,29,32,
35,38,40,41,43,44,50,57,63,65,71,73,75,76,77,81,87,89,93,103,107,108,110,118,
120,121,130,132,136,139,140,141,143,153,154,155,156,157,158,159,160,161,162,
168,171,173,174,179,180,188,189,190,194,195,199,201,202,203,204,205,206,208,
215,218,221,227,242,246,247,248,249,261,262,263,265,267,281,286,288,289,331,
339,350,351,366,369,378,379,381,383,386,387,390,405,407,408,420,423,428,429,
433,436,438,445,446,449,452,457,464,474,477,478,482,483,484,485,492,493,494,
496,497,498,500,505,506,507,522,523,524,525,528,540,541,551,556,557,559,560,
561,569,570,571,572,574,578,585,593,595,599,607,609,612,613,615,616,620,621,
629,650,652,656,660,663,695,698,703,742,764,773,801,802,810,848,849,852,857,
865,881,884,903,906,911,913,914,915,918,919,924,925,926,930,937,938,942,944,
945,953,955,958,959,960,961,971,984,1007,1011,1017,1021,1022,1039,1040,1041,
1044,1045,1048,1067,1068,1072,1077,1078,1079,1080,1083,1096,1103,1117,1118,
1119,1120,1124,1126,1137,1139,1144,1151,1153,1155,1168,1181,1183,1184,1186,
1187,1188,1189,1193,1194,1195,1197,1200,1202,1206,1207,1208,1210,1211,1213,
1214,1219,1220,1221,1223,1241,1251,1257,1260,1262,1293,1294,1296,1305,1317,
1343,1344,1360,1366,1370,1373,1374,1376,1378,1379,1381,1457,1515,1518,1552,
1554,1562,1563,1564,1565,1584,1593,1606,1607,1608,1609,1629,1634,1642,1643,
1654,1656,1658,1664,1669,1673,1678,1680,1682,1684,1685,1686,1687,1690,1691,
1704,1705,1778,1855,1858,1860,1863,1867,1869,1873,1874,1876,1884,1914,1915,
1920,1928,1929,1938,1939,1944,1946,1948,1954,1985,1987,2004,2015,2027,2028,
2030,2041,2043,2049,2085,2097,2098,2101,2110,2116,2118,2120,2121,2127,2128,
2147,2148,2179,2180,2195,2215,2216,2218,2222,2223,2224,2304,2305,2307,2308,
2315,2321,2330,2332,2388,2389,2390,2393,2400,2401,2403,2405,2414,2418,2424,
2425,2428,2429,2430,2438,2439,2446,2454,2567,2568,2656,2660,2725,2776,2777,
2795,2797,2809,2810,2816,2818,2820,2821,2825,2850,2851,2873,2875,2877,2879,
2902,2903,2938,3014,3016,3034,3045,3058,3059,3068,3070,3079,3081,3085,3086,
3087,3090,3106,3193,3208,3210,3220,3221,3310,3331,3332,3341,3363,3364,3368,
3434,3436,3564,3567,3681,3685,3686,3700,3701,3702,3703,3795,3878,3981,3982,
4018,4023,4024,4129,4132,4226,4281,4286,4287,4389],[1,2,3,4,5,6,8,9,10,12,13,
14,15,16,17,19,22,23,24,25,26,28,29,30,31,32,33,34,35,37,40,41,42,43,44,45,50,
51,52,54,55,62,63,64,65,73,74,75,76,77,79,80,81,100,101,103,104,105,106,107,
108,109,110,118,120,121,130,132,136,139,140,141,143,153,155,158,160,162,165,
168,169,170,171,172,173,174,175,176,179,180,184,185,186,187,189,191,199,200,
201,202,203,204,205,206,207,208,209,210,215,228,229,237,240,243,244,247,249,
258,281,283,284,285,286,287,290,331,332,336,337,338,339,340,346,347,350,351,
366,367,369,372,380,381,382,383,384,385,386,390,391,392,405,407,408,414,415,
416,429,436,438,445,446,447,448,449,452,453,454,457,458,474,475,476,477,479,
482,483,484,500,501,502,504,505,506,507,522,523,528,529,531,532,533,536,537,
538,539,541,549,557,569,570,571,572,583,584,585,586,587,588,589,590,591,592,
593,595,596,597,598,599,600,612,613,615,616,617,618,619,620,621,623,629,650,
652,663,734,737,740,741,767,787,788,809,810,811,812,848,849,852,857,865,876,
877,878,879,880,881,883,886,887,888,918,922,933,934,938,939,945,951,952,953,
954,955,958,959,960,961,962,986,997,1011,1047,1049,1069,1070,1071,1072,1073,
1074,1075,1076,1078,1080,1095,1098,1115,1116,1117,1118,1119,1120,1123,1130,
1137,1138,1139,1140,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1156,
1183,1184,1187,1188,1191,1192,1193,1194,1195,1202,1212,1223,1229,1232,1234,
1235,1236,1237,1238,1239,1240,1241,1242,1243,1245,1253,1258,1260,1261,1264,
1293,1294,1295,1296,1300,1343,1344,1351,1353,1363,1373,1378,1381,1492,1512,
1513,1515,1516,1535,1536,1537,1538,1562,1563,1564,1565,1584,1585,1586,1587,
1607,1608,1613,1614,1615,1620,1628,1630,1642,1643,1680,1681,1699,1700,1701,
1702,1703,1704,1705,1706,1707,1782,1877,1887,1910,1911,1912,1913,1914,1915,
1916,1917,1918,1919,1932,1933,1962,1963,1970,1972,2005,2012,2013,2024,2025,
2026,2027,2028,2029,2051,2052,2086,2087,2090,2091,2092,2097,2098,2101,2118,
2119,2120,2123,2148,2166,2167,2168,2169,2179,2180,2220,2222,2225,2311,2312,
2313,2314,2315,2316,2317,2318,2358,2362,2364,2384,2390,2393,2398,2399,2400,
2401,2404,2407,2413,2415,2424,2425,2426,2427,2428,2435,2436,2437,2567,2568,
2670,2671,2730,2758,2759,2760,2761,2765,2767,2795,2796,2806,2807,2808,2810,
2820,2880,2882,2888,2890,2902,2903,2934,3029,3030,3036,3044,3056,3057,3074,
3075,3083,3084,3085,3086,3091,3092,3105,3193,3199,3200,3202,3203,3220,3221,
3323,3324,3331,3355,3357,3361,3365,3447,3449,3576,3577,3665,3666,3681,3700,
3701,3705,3706,3707,3709,3803,3878,3991,3994,4018,4031,4032,4125,4126,4129,
4229,4282,4285,4286,4390],[1,2,3,4,5,6,8,9,10,12,13,15,16,17,19,20,21,22,23,25
,26,28,29,30,31,32,33,35,37,40,41,42,43,44,45,46,50,51,52,55,56,62,65,68,70,71
,73,74,75,76,77,79,80,81,87,91,92,93,101,103,106,107,108,109,110,118,120,121,
130,132,136,139,140,141,143,153,155,158,159,160,161,162,163,164,166,168,170,
172,173,174,175,176,177,178,179,180,181,182,183,185,188,189,190,193,199,201,
202,203,204,205,206,208,215,219,221,231,232,239,241,244,245,247,248,249,258,
262,264,267,268,270,272,275,278,279,280,281,282,283,284,287,288,331,332,338,
339,347,350,351,366,369,372,380,381,382,383,386,387,388,389,390,391,392,405,
407,408,409,414,416,429,436,438,445,446,448,449,452,453,457,458,475,476,477,
479,482,484,485,488,489,490,491,493,494,498,499,500,501,502,504,505,506,507,
508,521,522,523,525,529,532,535,536,538,544,546,554,559,560,562,569,570,571,
572,576,581,584,589,593,595,597,600,602,605,612,613,615,616,619,621,629,650,
652,663,697,701,702,703,743,757,761,765,774,799,803,804,806,810,812,848,849,
852,857,865,876,877,878,880,881,882,884,887,894,895,905,915,916,918,919,921,
929,930,931,932,936,937,938,940,941,942,943,944,945,946,953,955,958,959,960,
961,987,994,1011,1041,1046,1050,1051,1052,1053,1066,1068,1069,1070,1071,1073,
1078,1080,1081,1082,1083,1085,1086,1089,1104,1105,1117,1118,1119,1120,1127,
1131,1138,1139,1144,1146,1165,1169,1174,1175,1178,1183,1184,1185,1187,1188,
1189,1192,1193,1194,1196,1198,1199,1200,1201,1203,1208,1209,1210,1212,1222,
1223,1224,1225,1239,1249,1259,1261,1263,1293,1294,1296,1300,1317,1318,1343,
1344,1353,1361,1373,1378,1381,1460,1515,1516,1535,1536,1539,1540,1541,1542,
1562,1563,1564,1565,1571,1585,1587,1607,1608,1617,1618,1626,1627,1632,1637,
1642,1643,1644,1648,1649,1662,1665,1672,1675,1680,1684,1688,1690,1691,1692,
1693,1694,1704,1705,1708,1709,1781,1857,1858,1861,1862,1866,1868,1875,1881,
1882,1889,1914,1915,1921,1927,1929,1934,1937,1943,1945,1952,1955,1983,1984,
2000,2016,2027,2029,2031,2042,2044,2050,2088,2090,2092,2095,2097,2098,2101,
2116,2117,2118,2120,2121,2122,2136,2137,2139,2141,2148,2166,2167,2168,2169,
2179,2180,2219,2222,2226,2309,2310,2314,2316,2334,2336,2376,2378,2379,2380,
2387,2390,2391,2392,2393,2394,2400,2401,2402,2408,2417,2419,2424,2425,2428,
2432,2433,2447,2450,2567,2568,2654,2659,2724,2759,2763,2766,2768,2795,2810,
2820,2822,2823,2825,2826,2836,2837,2840,2841,2853,2856,2883,2886,2887,2891,
2902,2903,2933,3015,3017,3033,3042,3060,3061,3069,3071,3078,3080,3085,3086,
3088,3089,3108,3193,3202,3203,3214,3216,3220,3221,3325,3327,3331,3342,3343,
3358,3362,3439,3442,3565,3566,3665,3666,3681,3700,3701,3708,3710,3712,3713,
3790,3878,3989,3990,4018,4029,4030,4126,4129,4141,4224,4283,4284,4286,4391],[1
,2,3,4,5,6,8,9,10,12,13,14,15,16,17,19,20,22,23,26,28,29,30,31,32,33,34,35,37,
38,40,41,42,43,44,45,46,50,51,52,53,54,55,56,62,63,64,65,71,73,74,75,76,77,79,
80,81,101,108,109,110,118,120,121,130,132,136,139,140,141,143,153,155,158,159,
160,161,162,163,164,165,168,169,170,171,172,173,174,175,176,177,178,179,180,
184,185,186,187,189,190,191,192,194,195,197,199,201,205,206,215,219,221,227,
228,229,230,231,258,280,281,282,283,284,285,286,287,288,289,290,332,339,340,
366,367,369,372,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,
405,407,408,409,414,416,423,429,433,445,446,447,448,449,452,453,454,457,458,
464,474,475,476,477,478,479,482,483,484,485,500,501,502,504,505,506,507,508,
521,522,523,525,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,
547,548,549,550,556,557,559,560,561,562,564,569,570,571,572,576,583,584,585,
586,593,597,598,599,600,607,613,615,619,621,629,650,652,656,660,663,665,668,
734,743,763,764,765,766,767,848,849,857,865,876,877,878,879,880,881,882,883,
884,885,886,887,888,889,890,891,892,893,903,906,915,916,918,922,923,924,925,
926,927,929,930,931,932,933,934,935,936,937,938,939,945,946,947,984,987,997,
1041,1046,1047,1048,1049,1050,1052,1066,1068,1069,1070,1071,1072,1073,1074,
1075,1076,1077,1078,1080,1081,1082,1095,1096,1097,1098,1103,1111,1122,1123,
1124,1125,1126,1130,1131,1132,1133,1135,1138,1145,1146,1147,1148,1149,1150,
1151,1152,1153,1154,1155,1156,1167,1168,1169,1184,1202,1203,1209,1210,1211,
1212,1213,1214,1222,1223,1224,1225,1240,1241,1242,1243,1251,1252,1253,1254,
1293,1294,1295,1296,1300,1305,1317,1318,1343,1344,1351,1353,1361,1366,1370,
1374,1376,1378,1414,1512,1513,1515,1516,1518,1535,1536,1537,1538,1539,1554,
1555,1562,1563,1564,1565,1571,1584,1585,1586,1587,1593,1607,1609,1617,1618,
1619,1620,1621,1622,1623,1624,1625,1628,1629,1630,1631,1634,1639,1642,1643,
1644,1672,1674,1675,1676,1753,1840,1843,1870,1872,1875,1876,1877,1882,1883,
1884,1885,1886,1887,1890,1898,1921,1931,1933,1945,1946,2002,2003,2004,2005,
2006,2007,2008,2009,2086,2087,2090,2091,2092,2097,2098,2110,2116,2117,2120,
2123,2127,2128,2129,2130,2136,2137,2138,2139,2140,2141,2147,2166,2167,2168,
2169,2179,2180,2208,2211,2216,2220,2226,2305,2309,2310,2311,2312,2313,2314,
2315,2316,2317,2318,2319,2320,2321,2330,2331,2332,2333,2352,2353,2357,2376,
2382,2383,2384,2387,2390,2391,2392,2393,2394,2403,2404,2405,2406,2407,2409,
2413,2414,2415,2416,2418,2420,2567,2568,2609,2611,2665,2758,2759,2760,2761,
2765,2767,2787,2788,2789,2790,2791,2809,2816,2817,2820,2822,2823,2824,2832,
2833,2834,2835,2840,2841,2850,2851,2877,2879,2883,2886,2888,2890,2935,2989,
2991,3008,3010,3015,3017,3025,3034,3035,3036,3037,3038,3039,3040,3044,3045,
3046,3047,3048,3193,3199,3200,3202,3203,3208,3210,3214,3216,3220,3221,3321,
3322,3344,3345,3361,3362,3363,3384,3385,3386,3387,3420,3423,3528,3529,3665,
3666,3681,3687,3690,3691,3692,3702,3703,3707,3709,3712,3713,3807,3878,3982,
3989,3991,4020,4021,4125,4126,4129,4132,4141,4199,4283,4285,4287,4293,4294,
4392],[1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,19,20,21,22,23,24,26,28,29,30,31
,32,33,34,35,37,38,39,40,41,42,43,44,45,46,50,52,55,56,62,63,65,68,70,71,73,74
,75,76,77,79,80,81,87,88,90,92,100,101,106,107,108,109,110,118,121,124,125,126
,130,132,136,139,140,141,142,143,145,146,147,151,153,154,155,156,158,159,160,
161,162,163,164,165,166,168,169,170,171,172,173,174,175,176,177,178,179,180,
181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,197,199,200,201,
203,204,205,206,207,208,209,210,215,216,221,227,231,232,237,240,241,243,245,
246,248,260,262,266,268,270,272,275,278,279,281,282,283,285,286,287,288,289,
331,332,338,339,346,347,351,366,367,369,372,375,376,377,379,383,384,386,387,
388,390,391,393,401,402,405,408,409,414,415,416,420,423,428,429,433,436,438,
445,447,448,449,453,454,455,456,457,458,467,471,474,475,476,477,478,479,480,
481,482,483,484,486,487,488,489,491,496,497,498,499,500,502,505,506,507,511,
522,523,525,526,527,529,532,533,534,535,537,540,541,544,546,547,548,549,550,
551,552,553,554,555,556,557,558,560,561,562,564,570,572,574,575,576,578,579,
580,581,582,583,586,589,590,591,592,593,595,596,598,600,602,603,604,605,606,
607,609,610,613,615,616,617,618,619,620,623,631,650,651,652,656,658,660,661,
663,690,699,700,704,757,761,763,764,772,801,804,805,806,809,811,857,860,861,
862,863,865,866,869,870,871,874,880,883,885,886,887,888,889,891,892,895,903,
904,905,906,910,914,915,916,918,921,922,923,924,926,927,931,933,935,936,937,
938,940,942,944,946,947,951,953,955,960,962,971,984,986,987,994,997,1007,1011,
1017,1021,1022,1038,1040,1041,1044,1046,1048,1051,1060,1063,1068,1071,1072,
1076,1078,1081,1083,1085,1087,1089,1095,1098,1103,1105,1115,1116,1124,1127,
1133,1134,1135,1139,1144,1145,1147,1152,1155,1160,1161,1162,1163,1164,1165,
1166,1167,1170,1172,1175,1181,1182,1183,1184,1189,1191,1192,1195,1198,1199,
1201,1202,1211,1212,1213,1214,1215,1216,1218,1221,1222,1227,1229,1230,1232,
1238,1243,1245,1247,1250,1252,1256,1258,1259,1262,1264,1297,1303,1307,1319,
1320,1344,1351,1353,1356,1358,1360,1361,1363,1366,1370,1371,1373,1374,1376,
1378,1379,1381,1461,1512,1513,1514,1515,1516,1519,1522,1523,1525,1526,1553,
1554,1555,1563,1566,1567,1570,1571,1572,1575,1576,1578,1585,1588,1592,1593,
1595,1596,1599,1601,1613,1615,1619,1620,1621,1622,1624,1625,1626,1634,1636,
1637,1638,1639,1642,1643,1646,1649,1650,1651,1654,1656,1660,1662,1663,1664,
1665,1670,1673,1675,1676,1679,1681,1683,1687,1688,1690,1692,1700,1701,1705,
1706,1710,1711,1721,1726,1752,1753,1778,1781,1782,1810,1811,1812,1826,1852,
1853,1856,1859,1876,1878,1883,1889,1890,1896,1913,1916,1924,1937,1939,1943,
1946,1954,1955,1978,1979,1986,1999,2007,2011,2014,2033,2035,2042,2043,2051,
2052,2093,2105,2109,2131,2134,2142,2143,2167,2169,2180,2185,2189,2195,2197,
2201,2202,2207,2208,2211,2215,2216,2218,2219,2220,2222,2223,2224,2225,2226,
2295,2297,2298,2299,2308,2309,2313,2319,2322,2323,2329,2331,2334,2338,2339,
2345,2349,2351,2356,2357,2371,2372,2373,2389,2391,2395,2398,2399,2400,2401,
2402,2403,2404,2407,2412,2414,2417,2421,2431,2434,2437,2442,2443,2448,2449,
2450,2454,2463,2464,2527,2568,2570,2573,2580,2588,2655,2661,2683,2773,2775,
2779,2780,2784,2794,2803,2814,2846,2849,2875,2879,2882,2886,2890,2891,2895,
2903,2917,2922,2928,2929,2933,2934,2935,2937,2938,2939,2967,2988,2989,2998,
2999,3000,3001,3013,3032,3035,3050,3052,3055,3056,3057,3058,3060,3063,3065,
3068,3071,3104,3200,3202,3210,3212,3216,3220,3226,3229,3231,3232,3309,3313,
3314,3339,3350,3372,3376,3379,3380,3409,3412,3423,3424,3436,3442,3449,3470,
3472,3491,3511,3572,3574,3675,3678,3686,3691,3692,3700,3702,3706,3708,3709,
3712,3715,3716,3717,3758,3778,3779,3785,3851,3884,3887,3985,4002,4007,4012,
4016,4021,4024,4026,4028,4029,4031,4034,4056,4136,4140,4223,4232,4289,4291,
4299,4393],[1,2,4,5,6,8,9,10,11,12,13,19,20,22,23,24,26,28,29,32,35,38,40,41,
44,50,51,57,65,71,73,74,75,76,77,82,87,88,100,101,107,108,118,120,121,130,132,
136,139,141,144,145,148,153,155,156,157,159,160,162,168,173,174,179,180,188,
189,190,195,199,201,204,206,207,208,215,216,218,219,221,236,237,239,240,241,
257,258,260,261,262,263,280,281,282,331,332,346,347,366,369,378,379,381,383,
386,387,405,414,415,416,420,423,428,429,433,436,438,445,447,449,450,457,471,
474,479,482,483,484,485,494,497,498,500,507,521,522,524,528,536,551,556,557,
559,560,561,569,574,576,577,586,593,595,597,607,608,609,613,616,618,619,629,
650,651,652,656,658,660,661,663,688,689,690,742,743,769,799,800,809,857,866,
867,868,873,876,880,881,884,895,906,911,915,918,919,924,930,942,945,955,958,
961,971,984,986,987,994,997,1007,1011,1017,1021,1022,1038,1039,1041,1045,1058,
1059,1067,1069,1078,1083,1098,1104,1115,1125,1126,1139,1156,1167,1168,1169,
1181,1183,1185,1191,1192,1202,1203,1206,1207,1208,1217,1225,1231,1232,1243,
1246,1254,1263,1264,1294,1305,1317,1343,1351,1353,1356,1358,1360,1361,1363,
1366,1370,1371,1373,1374,1376,1378,1379,1381,1456,1512,1515,1526,1527,1528,
1552,1554,1562,1566,1577,1579,1584,1592,1602,1613,1617,1626,1627,1628,1629,
1642,1648,1654,1658,1665,1669,1672,1678,1680,1682,1684,1685,1691,1699,1704,
1708,1721,1726,1752,1753,1778,1781,1782,1810,1811,1812,1818,1851,1852,1874,
1875,1891,1913,1925,1934,1944,1948,1981,1988,2009,2017,2036,2044,2052,2086,
2103,2128,2136,2166,2168,2179,2185,2189,2195,2197,2201,2202,2207,2208,2211,
2215,2216,2218,2219,2220,2222,2223,2224,2225,2226,2294,2300,2301,2307,2311,
2330,2345,2346,2350,2352,2354,2370,2373,2387,2398,2400,2407,2408,2418,2430,
2433,2436,2444,2446,2447,2465,2527,2567,2569,2573,2580,2588,2650,2681,2770,
2783,2787,2799,2811,2845,2873,2877,2880,2883,2887,2888,2895,2902,2917,2922,
2928,2929,2933,2934,2935,2937,2938,2939,2965,2990,2992,3004,3012,3047,3053,
3056,3061,3064,3070,3103,3199,3203,3208,3211,3214,3221,3226,3229,3231,3232,
3308,3311,3336,3347,3371,3378,3404,3411,3417,3420,3434,3439,3447,3470,3472,
3490,3505,3571,3674,3677,3685,3687,3690,3701,3703,3705,3707,3710,3713,3715,
3716,3717,3757,3777,3782,3850,3883,3886,3983,4001,4004,4008,4015,4020,4023,
4025,4027,4030,4032,4034,4055,4135,4138,4216,4231,4288,4292,4298,4394],[1,2,3,
4,5,6,8,9,10,12,13,15,16,17,19,20,21,22,23,25,26,28,29,30,31,32,33,34,35,37,38
,40,41,42,43,44,45,46,50,51,52,55,56,62,65,68,70,71,73,74,75,76,77,79,80,81,87
,91,92,93,101,103,106,107,108,109,110,118,120,121,130,131,132,135,136,139,141,
145,153,155,156,158,159,160,161,162,163,164,165,166,168,169,170,172,173,174,
175,176,177,178,179,180,182,183,184,185,186,187,188,189,190,191,192,194,195,
197,199,200,201,204,205,206,208,209,215,216,219,221,231,232,239,241,244,245,
247,248,249,258,262,264,267,268,270,272,275,278,279,280,281,282,283,284,287,
288,331,332,338,339,347,350,351,366,367,369,372,378,379,380,381,382,383,384,
385,386,387,388,389,390,391,392,405,407,408,409,414,416,417,423,424,425,429,
430,431,433,436,438,445,447,449,455,457,471,474,476,478,479,480,481,482,483,
484,485,486,487,488,489,497,498,500,502,507,511,521,522,525,526,527,528,532,
533,534,535,536,537,547,548,549,550,551,552,553,554,555,556,557,559,560,561,
562,564,569,571,574,575,576,581,582,585,586,590,591,592,593,595,597,598,599,
600,602,603,604,607,609,613,615,617,619,621,623,629,650,651,652,653,655,656,
658,659,660,661,663,664,697,701,702,703,743,757,761,765,774,799,803,804,806,
810,812,848,849,852,857,866,867,868,876,877,878,879,880,881,882,883,884,885,
886,887,888,889,890,891,892,893,894,895,903,906,911,915,916,918,919,922,923,
924,925,926,927,929,930,931,932,933,934,935,936,937,938,939,942,943,945,946,
947,954,955,958,961,978,984,987,988,990,993,994,997,1006,1011,1016,1019,1020,
1038,1041,1051,1069,1071,1078,1083,1087,1089,1098,1117,1125,1126,1133,1134,
1135,1139,1148,1152,1153,1156,1160,1161,1162,1163,1164,1165,1166,1167,1168,
1169,1181,1202,1203,1209,1211,1215,1216,1224,1225,1227,1241,1243,1245,1253,
1254,1256,1293,1294,1295,1296,1300,1305,1317,1318,1343,1351,1352,1353,1354,
1361,1362,1364,1366,1367,1368,1369,1370,1371,1374,1375,1376,1377,1378,1380,
1460,1512,1514,1515,1526,1527,1528,1535,1536,1537,1538,1539,1540,1541,1542,
1552,1554,1555,1562,1566,1567,1568,1577,1584,1588,1589,1592,1602,1606,1607,
1608,1609,1613,1614,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,
1628,1629,1630,1631,1632,1633,1634,1639,1642,1646,1648,1653,1654,1655,1658,
1659,1665,1666,1668,1669,1672,1674,1675,1676,1678,1680,1682,1684,1685,1691,
1694,1699,1702,1703,1704,1708,1709,1723,1725,1753,1761,1777,1781,1783,1810,
1811,1812,1813,1814,1815,1816,1857,1858,1875,1889,1914,1934,1955,2002,2009,
2011,2086,2087,2090,2091,2092,2097,2098,2103,2110,2116,2117,2120,2123,2127,
2128,2129,2130,2136,2137,2138,2139,2140,2141,2147,2166,2168,2178,2179,2208,
2209,2210,2211,2212,2213,2216,2217,2220,2221,2226,2227,2304,2305,2311,2322,
2323,2324,2329,2330,2345,2346,2352,2353,2354,2355,2357,2358,2360,2361,2362,
2363,2364,2365,2369,2370,2373,2374,2376,2377,2378,2379,2380,2381,2382,2383,
2384,2387,2395,2407,2412,2418,2421,2428,2429,2430,2432,2433,2435,2436,2438,
2439,2444,2445,2446,2447,2452,2453,2462,2465,2525,2567,2569,2574,2575,2576,
2577,2578,2579,2580,2581,2582,2583,2584,2585,2586,2587,2588,2589,2659,2758,
2759,2760,2761,2765,2767,2770,2782,2783,2787,2788,2789,2790,2791,2799,2809,
2811,2816,2817,2820,2822,2823,2824,2832,2833,2834,2835,2840,2841,2843,2845,
2850,2851,2877,2878,2881,2883,2884,2887,2888,2889,2902,2935,2936,3024,3025,
3026,3027,3047,3050,3096,3097,3098,3099,3100,3101,3102,3103,3105,3106,3108,
3199,3201,3203,3205,3208,3209,3211,3214,3215,3217,3221,3222,3223,3224,3225,
3227,3228,3229,3230,3233,3234,3235,3236,3237,3238,3239,3240,3311,3312,3317,
3321,3322,3328,3336,3344,3345,3347,3348,3361,3362,3363,3371,3377,3378,3382,
3384,3385,3386,3387,3406,3408,3420,3422,3433,3439,3448,3490,3581,3687,3688,
3689,3690,3693,3694,3703,3704,3707,3711,3713,3714,3718,3719,3720,3721,3722,
3723,3724,3764,3782,3783,3786,3787,3793,3798,3807,3847,3881,3882,3883,3885,
3886,3889,3890,4020,4022,4038,4073,4130,4134,4137,4138,4143,4144,4145,4146,
4147,4148,4149,4290,4296,4297,4300,4301,4302,4303,4395],[1,2,4,5,6,9,10,11,12,
13,19,20,22,23,26,28,29,32,35,40,41,44,48,50,57,65,71,73,75,76,77,87,107,108,
118,130,132,136,139,140,141,153,156,157,160,162,168,173,174,179,180,188,189,
190,199,201,214,218,221,261,262,263,281,331,366,369,405,414,416,420,428,429,
439,445,446,447,449,452,457,474,482,483,484,494,500,505,507,522,524,528,551,
557,559,560,613,616,643,742,848,849,857,911,918,919,971,994,997,1033,1039,1040
,1045,1067,1078,1079,1080,1083,1098,1104,1126,1183,1202,1206,1207,1208,1343,
1344,1512,1515,1552,1606,1607,1642,1752,1797,1873,1874,1891,1944,2166,2168,
2179,2180,2304,2307,2407,2408,2547,2873,2875,2887,2888,2990,3186,3193,3417,
3656,3681,3981,4168,4311,4396],[1,2,4,5,6,9,10,12,13,14,19,20,22,23,26,28,29,
32,35,40,41,44,48,50,63,65,71,73,75,76,77,81,108,110,118,130,132,136,139,140,
141,153,155,158,159,160,161,162,168,171,173,179,180,189,195,199,201,214,221,
227,281,286,288,289,339,366,369,405,414,416,423,429,433,439,445,446,447,449,
452,457,474,478,482,483,484,500,505,507,522,523,525,540,541,556,557,561,613,
615,644,764,848,849,857,915,918,924,984,989,997,1033,1041,1046,1048,1068,1072,
1077,1078,1080,1098,1103,1124,1184,1202,1211,1213,1214,1343,1344,1512,1515,
1554,1607,1609,1642,1754,1798,1876,1884,1890,1946,2166,2168,2179,2180,2305,
2309,2403,2407,2547,2877,2879,2885,2888,2989,3186,3193,3418,3657,3681,3982,
4168,4311,4397],[1,2,4,5,6,9,10,12,13,19,22,23,25,26,28,29,32,35,40,41,44,48,
50,65,73,75,76,77,103,107,108,110,118,130,132,136,139,140,141,153,160,162,168,
173,179,180,189,199,201,202,204,205,206,208,214,247,249,281,331,339,350,351,
366,369,405,414,416,417,429,436,438,439,445,446,447,449,452,457,474,482,483,
484,500,505,507,522,557,585,593,595,612,613,615,620,621,648,810,848,849,852,
857,918,958,961,990,997,1011,1033,1078,1080,1098,1117,1118,1119,1137,1139,1142
,1144,1188,1194,1195,1202,1241,1260,1343,1344,1512,1515,1607,1608,1642,1680,
1783,1803,1914,1915,1918,2028,2166,2168,2179,2180,2407,2425,2427,2428,2547,
2881,2888,2902,2903,3074,3186,3193,3448,3662,3681,4018,4168,4311,4398],[1,2,4,
5,6,9,10,12,13,19,20,22,23,26,28,29,31,32,35,40,41,42,44,48,50,51,65,71,73,74,
75,76,77,101,108,118,130,132,136,139,140,141,153,155,160,162,163,168,172,173,
174,177,178,179,180,189,190,199,201,206,212,214,219,221,258,280,281,282,332,
366,369,380,381,405,414,416,423,429,433,439,445,446,447,448,449,452,457,474,
479,482,483,484,485,500,501,505,507,521,522,528,536,556,557,559,560,562,569,
576,586,593,597,607,613,619,645,743,848,849,857,876,877,882,884,918,929,930,
984,987,997,1027,1033,1041,1050,1069,1070,1078,1080,1081,1082,1098,1125,1126,
1156,1167,1168,1169,1202,1203,1225,1243,1254,1343,1344,1512,1515,1535,1539,
1562,1584,1607,1617,1618,1642,1753,1804,1875,1882,2009,2166,2167,2168,2179,
2180,2311,2330,2376,2387,2407,2418,2547,2877,2883,2886,2888,3047,3186,3193,
3420,3665,3681,3989,4168,4309,4311,4399],[1,2,3,4,5,6,9,10,12,13,14,15,16,17,
19,22,23,26,28,29,30,31,32,33,35,40,41,42,44,45,48,50,51,52,54,55,62,63,64,65,
73,74,75,76,77,79,80,81,101,108,109,110,118,130,131,132,135,136,139,140,141,
153,155,158,160,162,165,168,169,170,171,172,173,174,175,176,179,180,184,185,
186,187,189,199,201,205,206,212,213,214,228,229,258,281,283,284,285,286,287,
290,340,366,369,380,381,382,383,405,414,416,422,425,426,427,429,439,445,446,
447,448,449,452,453,457,474,475,476,477,479,482,483,484,500,501,502,504,505,
507,522,523,528,529,531,532,533,536,537,538,539,541,549,557,569,570,571,572,
583,584,585,586,597,598,599,600,613,621,646,767,848,849,857,876,877,878,879,
880,881,918,939,945,981,987,988,989,997,1027,1028,1033,1047,1049,1069,1070,
1071,1072,1073,1074,1075,1076,1078,1080,1098,1123,1130,1145,1146,1147,1148,
1149,1150,1151,1156,1202,1212,1223,1240,1253,1343,1344,1512,1515,1535,1536,
1537,1538,1562,1563,1584,1585,1607,1628,1630,1642,1755,1806,1877,1887,2005,
2166,2167,2168,2169,2178,2179,2180,2311,2313,2314,2315,2384,2393,2407,2413,
2547,2876,2883,2884,2885,2888,2890,3044,3186,3193,3419,3665,3666,3681,3991,
4168,4309,4310,4311,4400],[1,2,3,4,5,6,9,10,12,13,15,16,17,19,20,21,22,23,26,
28,29,30,32,33,35,40,41,44,45,48,50,52,55,56,62,65,68,70,71,73,75,76,77,79,80,
87,92,106,107,108,109,118,130,131,132,135,136,139,140,141,153,158,160,161,162,
166,168,169,170,173,174,175,176,179,180,181,182,183,185,189,190,199,201,205,
213,214,231,232,262,268,270,275,278,279,281,283,338,366,369,382,383,405,414,
416,424,425,429,430,431,439,445,446,447,449,452,453,457,474,475,482,483,484,
491,500,502,504,505,507,522,525,529,532,533,534,535,537,544,546,554,557,560,
570,578,583,589,598,605,613,620,647,761,848,849,857,878,880,894,895,918,942,
943,978,988,993,994,997,1028,1033,1051,1053,1071,1073,1078,1080,1083,1085,1086
,1089,1098,1127,1133,1145,1170,1172,1175,1198,1202,1221,1238,1250,1343,1344,
1512,1515,1536,1540,1563,1585,1607,1626,1632,1642,1761,1805,1881,1889,1999,
2166,2168,2169,2178,2179,2180,2313,2334,2380,2389,2407,2417,2547,2878,2884,
2887,2888,2889,2891,3032,3186,3193,3422,3666,3681,3990,4168,4310,4311,4401],[1
,2,4,5,6,9,10,12,13,19,22,23,24,26,28,29,32,35,40,41,44,48,50,65,73,75,76,77,
100,101,107,108,118,130,132,136,139,140,141,153,160,162,168,173,179,180,189,
199,200,201,206,207,209,214,237,240,281,331,332,346,347,366,369,405,414,415,
416,429,436,438,439,445,446,447,449,452,457,474,482,483,484,500,505,507,522,
557,586,592,593,613,616,618,619,649,809,848,849,857,918,954,955,986,997,1011,
1033,1078,1080,1098,1115,1116,1139,1140,1183,1191,1192,1202,1232,1243,1264,
1343,1344,1512,1515,1607,1613,1614,1642,1782,1807,1912,1913,2052,2166,2168,
2179,2180,2358,2398,2400,2407,2547,2880,2882,2888,2902,3056,3186,3193,3447,
3681,3994,4168,4311,4402],[1,2,3,4,5,6,8,9,11,15,16,18,21,24,25,26,28,30,31,33
,37,41,44,48,52,60,67,78,83,84,85,86,105,111,121,130,131,135,139,144,145,148,
152,156,157,169,181,182,184,202,207,214,216,222,301,306,311,333,372,387,388,
421,425,432,435,437,439,440,442,451,459,469,495,502,510,543,552,573,587,601,
643,651,655,659,744,847,866,873,885,972,1005,1009,1015,1025,1033,1037,1042,
1043,1064,1093,1102,1141,1157,1343,1359,1367,1383,1511,1532,1580,1588,1603,
1772,1797,1799,1801,1892,1949,2084,2178,2191,2200,2205,2238,2302,2344,2548,
2569,2750,2874,2901,2925,2946,3006,3187,3209,3303,3432,3480,3655,3680,3752,
3872,3939,4014,4048,4121,4403],[1,2,4,6,7,9,10,12,13,14,19,20,22,23,26,29,35,
39,44,48,50,63,65,71,73,75,76,77,81,108,110,124,130,132,136,140,141,142,146,
150,151,156,159,188,189,195,204,208,214,216,221,227,281,286,288,289,339,375,
393,420,423,428,429,433,436,438,439,441,443,446,447,452,457,467,470,497,498,
505,507,551,561,574,595,609,644,651,658,661,764,847,861,869,904,971,984,1007,
1011,1017,1021,1022,1033,1036,1040,1046,1048,1062,1063,1077,1080,1098,1103,
1144,1181,1344,1357,1358,1371,1384,1511,1522,1529,1569,1578,1595,1601,1778,
1798,1800,1802,1884,1890,1954,2084,2180,2187,2189,2196,2201,2203,2207,2239,
2296,2297,2347,2349,2547,2570,2750,2875,2879,2903,2923,2928,2945,2999,3003,
3186,3212,3304,3436,3478,3657,3678,3679,3753,3874,3940,4011,4016,4049,4122,
4404],[1,2,4,5,6,8,9,10,11,12,13,19,20,22,23,26,28,29,32,35,38,40,44,48,50,57,
65,71,73,75,76,77,87,107,108,121,130,132,136,139,140,141,143,145,147,148,153,
155,156,173,174,180,188,189,201,206,214,216,218,221,261,262,263,281,331,379,
386,387,420,423,428,429,433,436,438,439,440,442,446,447,452,457,464,471,484,
485,500,505,507,528,551,556,569,593,607,643,651,658,661,742,847,865,866,867,
906,971,984,1007,1011,1017,1021,1022,1033,1037,1039,1040,1041,1045,1059,1060,
1079,1080,1098,1104,1139,1168,1343,1357,1358,1371,1383,1511,1518,1527,1564,
1577,1592,1593,1602,1778,1797,1799,1801,1873,1891,1948,2084,2179,2187,2189,
2196,2201,2203,2207,2238,2295,2300,2332,2346,2547,2569,2750,2873,2877,2902,
2923,2928,2946,2993,3004,3186,3211,3303,3434,3479,3656,3676,3677,3753,3873,
3939,4009,4015,4049,4120,4405],[1,2,3,4,5,6,8,9,11,15,16,18,21,26,28,30,41,42,
44,45,46,48,49,52,60,66,67,72,121,130,131,135,139,144,145,148,152,156,157,165,
166,169,181,214,216,220,222,235,387,391,409,421,425,432,439,440,442,502,503,
509,510,511,513,519,520,526,542,543,643,651,653,664,666,847,866,873,935,967,
972,976,1033,1037,1042,1043,1054,1055,1064,1121,1335,1343,1359,1380,1383,1511,
1603,1604,1646,1647,1714,1797,1799,1801,1838,1839,1906,2084,2164,2178,2190,
2191,2194,2238,2302,2423,2549,2550,2553,2569,2750,2872,2874,2907,2946,2964,
2987,3190,3191,3222,3303,3400,3486,3492,3658,3659,3660,3661,3680,3756,3877,
3939,3999,4050,4123,4237,4406],[1,2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,21,
24,25,31,33,36,39,40,41,42,44,45,46,47,49,50,52,54,55,57,58,59,60,61,64,66,67,
68,69,70,72,78,82,83,84,85,86,89,90,91,94,95,102,105,111,113,114,115,118,120,
121,127,129,139,141,144,145,148,149,150,152,153,156,157,160,162,165,166,167,
182,184,196,198,207,218,220,222,223,224,225,226,229,232,233,234,235,238,254,
255,256,259,274,296,297,298,300,301,302,303,304,305,306,307,308,309,310,311,
312,313,314,315,333,341,342,343,380,382,388,389,404,405,409,451,459,462,463,
465,466,500,502,503,507,509,510,511,513,515,516,517,518,519,520,522,524,526,
552,563,573,577,622,629,635,639,666,667,669,670,687,691,692,693,712,713,714,
715,736,744,745,746,747,748,749,753,768,796,797,798,857,866,867,868,873,875,
911,939,943,1039,1042,1043,1045,1047,1051,1054,1055,1056,1057,1058,1059,1061,
1064,1065,1067,1093,1102,1106,1107,1108,1109,1110,1112,1141,1226,1233,1318,
1331,1387,1416,1420,1427,1428,1429,1430,1580,1588,1589,1605,1642,1646,1647,
1668,1793,1817,1819,1822,1823,1838,1839,1841,1844,1845,1846,1847,1850,1892,
1900,1902,1905,1906,1909,1922,1949,1956,2103,2241,2294,2300,2301,2302,2303,
2307,2350,2541,2594,2606,2607,2608,2617,2618,2620,2621,2639,2644,2715,2716,
2843,2976,2977,2978,2981,2984,2987,3006,3011,3082,3244,3246,3249,3258,3272,
3308,3502,3503,3504,3521,3533,3534,3549,3776,3892,3902,3915,3916,3924,4051,
4052,4063,4240,4245,4313,4407],[1,2,4,5,6,8,9,11,12,13,26,27,28,32,35,40,41,44
,50,57,118,120,121,130,132,134,136,139,141,144,145,148,153,156,157,160,162,173
,174,215,216,217,218,369,381,383,387,390,405,420,428,429,500,507,522,524,528,
627,629,650,651,652,654,656,660,663,857,866,867,868,873,884,911,942,945,971,
1038,1039,1045,1058,1059,1067,1290,1291,1296,1317,1343,1345,1356,1358,1360,
1366,1378,1379,1584,1602,1642,1669,1712,1810,1814,1816,2080,2103,2141,2179,
2185,2189,2195,2294,2300,2301,2307,2350,2468,2469,2567,2569,2571,2573,2587,
2845,2873,3115,3118,3208,3221,3231,3308,3490,3584,3674,3677,3685,3810,3889,
4080,4135,4250,4408],[1,2,3,4,6,7,10,11,12,13,14,15,16,17,18,19,21,23,24,25,27
,33,35,36,39,42,44,45,47,49,51,54,55,57,58,59,60,61,62,63,64,65,66,67,68,69,70
,77,78,79,82,83,84,85,86,87,89,90,91,92,94,95,96,99,100,102,103,104,105,106,
107,110,111,113,114,115,117,124,133,134,137,140,144,146,149,150,159,163,165,
182,183,187,188,198,200,204,219,220,224,225,226,227,228,233,234,239,240,242,
243,246,249,250,251,254,255,256,257,259,263,264,265,266,268,271,273,274,279,
284,296,300,301,302,303,304,305,307,308,311,312,313,316,326,327,328,329,330,
336,337,341,343,344,348,349,353,354,355,370,375,410,434,452,453,459,460,461,
462,463,465,466,470,481,486,488,498,501,503,504,505,509,510,514,515,516,517,
518,527,553,565,617,665,670,671,684,685,686,689,693,696,697,698,699,707,708,
709,712,713,714,715,718,719,721,722,725,726,728,729,738,739,745,756,759,768,
775,779,780,785,787,789,791,797,798,824,825,829,836,840,846,855,856,869,928,
1048,1049,1050,1055,1061,1062,1075,1079,1085,1086,1094,1099,1100,1101,1102,
1106,1107,1112,1113,1116,1118,1216,1266,1282,1345,1347,1348,1350,1389,1392,
1394,1402,1403,1406,1408,1423,1430,1431,1451,1452,1455,1469,1472,1480,1483,
1488,1495,1502,1505,1517,1529,1612,1645,1730,1822,1823,1827,1828,1832,1843,
1854,1859,1862,1863,1879,1893,1903,1905,1972,2062,2065,2069,2075,2076,2181,
2182,2183,2184,2245,2250,2255,2264,2269,2270,2279,2296,2410,2480,2481,2521,
2592,2621,2624,2629,2645,2693,2736,2956,2968,2969,2985,3150,3195,3196,3259,
3261,3263,3267,3519,3520,3524,3682,3683,3735,3746,3814,3914,4099,4103,4409],[1
,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,30,31,32,
34,35,38,40,41,42,44,45,46,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,
66,67,68,69,70,71,72,74,75,76,77,78,80,81,82,83,84,85,86,87,88,89,90,91,92,93,
94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,
115,116,117,121,130,131,132,135,136,139,140,143,144,145,147,148,152,155,156,
157,158,160,161,162,165,166,169,170,171,173,174,175,176,177,178,179,180,181,
186,190,195,197,199,200,201,202,204,205,206,207,216,220,221,222,223,225,226,
228,229,230,231,232,233,235,237,240,241,243,244,245,247,248,249,250,251,253,
257,259,260,261,262,264,265,266,267,269,270,271,272,273,274,275,276,277,278,
280,282,285,286,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,
303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,
322,323,324,325,326,327,328,329,330,333,334,335,336,337,340,341,342,343,344,
345,346,348,349,350,352,353,354,355,356,357,358,359,360,361,362,363,364,365,
367,379,387,388,390,391,409,415,416,417,421,422,423,424,425,426,427,429,430,
431,432,433,435,437,448,449,452,454,455,456,464,468,471,475,478,479,480,483,
485,487,489,490,491,492,493,494,495,497,500,501,502,503,504,505,508,509,510,
511,512,513,519,520,521,524,525,526,530,531,533,534,535,538,539,540,541,542,
543,544,545,546,548,556,559,560,565,566,567,568,571,572,573,576,577,578,579,
583,584,585,586,587,588,594,599,600,601,605,606,607,608,611,612,613,614,617,
618,621,622,624,625,626,651,653,664,666,668,669,671,672,673,674,675,676,677,
678,679,680,681,682,683,684,685,686,690,700,702,703,704,709,710,711,733,735,
736,738,739,740,744,745,746,747,748,749,750,751,752,753,754,755,756,758,760,
766,768,769,770,771,772,773,774,777,778,779,780,781,782,783,786,787,788,791,
793,795,807,808,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,
828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,
865,866,873,886,889,891,903,927,935,936,967,968,970,972,973,974,975,976,978,
981,982,983,984,985,986,989,990,991,992,993,994,999,1001,1002,1004,1005,1008,
1009,1010,1013,1014,1015,1018,1023,1024,1025,1026,1040,1041,1042,1043,1047,
1049,1051,1053,1054,1055,1060,1064,1072,1074,1077,1081,1082,1083,1087,1088,
1089,1111,1115,1116,1117,1118,1121,1122,1129,1132,1136,1141,1147,1149,1153,
1154,1157,1158,1159,1167,1170,1171,1174,1176,1177,1179,1180,1191,1194,1196,
1197,1198,1200,1203,1204,1205,1207,1214,1215,1217,1218,1220,1224,1226,1234,
1236,1240,1244,1246,1247,1249,1251,1255,1267,1268,1269,1270,1271,1272,1273,
1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,
1289,1343,1352,1354,1357,1359,1380,1408,1409,1410,1411,1412,1413,1415,1416,
1425,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,1466,1469,
1470,1471,1472,1473,1474,1493,1494,1495,1496,1498,1499,1500,1501,1502,1503,
1506,1507,1508,1509,1510,1513,1514,1518,1526,1565,1571,1587,1593,1603,1604,
1622,1644,1646,1647,1689,1714,1715,1717,1724,1725,1726,1727,1729,1731,1733,
1734,1736,1737,1738,1740,1741,1744,1745,1759,1760,1762,1767,1768,1769,1770,
1771,1772,1773,1774,1779,1780,1785,1786,1787,1788,1789,1826,1830,1832,1833,
1834,1835,1836,1837,1838,1839,1840,1842,1844,1852,1853,1856,1858,1860,1861,
1864,1865,1885,1888,1901,1904,1906,1907,1908,1909,1940,1949,1956,1966,1967,
1968,1969,1970,1972,1973,1993,1994,1998,2003,2010,2012,2014,2015,2016,2017,
2018,2019,2020,2021,2032,2037,2038,2039,2040,2045,2048,2057,2058,2059,2060,
2061,2066,2070,2071,2072,2073,2074,2075,2168,2178,2179,2187,2188,2190,2191,
2193,2194,2221,2228,2240,2278,2279,2280,2282,2283,2284,2287,2288,2291,2292,
2295,2302,2317,2320,2321,2331,2392,2409,2412,2416,2423,2455,2466,2467,2472,
2486,2488,2490,2492,2504,2505,2508,2509,2517,2518,2519,2520,2523,2528,2529,
2530,2531,2569,2625,2626,2631,2632,2633,2634,2635,2636,2638,2639,2645,2646,
2676,2687,2689,2692,2706,2707,2708,2709,2711,2712,2714,2720,2723,2726,2728,
2729,2731,2739,2740,2741,2874,2876,2877,2878,2880,2881,2885,2887,2889,2897,
2898,2901,2906,2907,2940,2954,2967,2970,2986,2987,3023,3038,3107,3114,3124,
3130,3134,3146,3149,3201,3205,3222,3247,3248,3251,3262,3266,3267,3271,3273,
3274,3293,3400,3401,3403,3407,3408,3410,3411,3413,3414,3416,3421,3431,3432,
3435,3437,3441,3446,3462,3473,3525,3544,3545,3548,3582,3600,3676,3680,3711,
3743,3745,3749,3816,3818,3820,3822,3829,3832,3834,3836,3840,3844,3857,3911,
3919,3986,3987,3998,3999,4033,4083,4089,4093,4102,4105,4106,4157,4204,4233,
4265,4324,4410],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,
25,26,28,29,30,31,32,33,35,37,38,40,41,42,44,45,46,49,50,51,52,53,54,55,56,57,
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,
84,85,86,87,89,90,91,92,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,
109,110,111,112,113,114,115,121,130,131,132,135,136,139,140,143,144,145,147,
148,152,153,155,156,157,160,162,165,166,169,170,171,172,173,174,175,176,180,
181,182,183,184,185,186,187,188,189,192,201,202,206,207,216,218,220,221,222,
223,224,225,226,228,229,230,231,232,233,234,235,236,237,238,242,243,244,245,
247,250,251,254,255,256,257,258,259,261,262,263,264,265,266,268,269,270,271,
272,273,274,275,278,279,281,283,284,285,286,287,290,291,292,293,294,295,296,
297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,
316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,333,334,335,
336,337,338,340,341,342,343,344,345,372,379,386,387,388,391,409,420,421,422,
423,424,425,426,427,428,429,430,431,432,433,435,436,437,438,446,448,450,451,
452,453,458,459,460,464,469,472,476,478,484,485,490,492,495,500,501,502,503,
504,505,508,509,510,511,512,513,519,520,521,522,524,526,528,529,531,532,533,
538,539,540,542,543,544,545,546,549,551,552,553,554,555,556,565,566,567,568,
569,573,576,577,584,587,588,593,594,600,601,606,607,611,612,614,615,618,619,
622,624,651,653,655,658,659,661,664,666,667,668,669,670,671,672,673,674,675,
676,677,678,679,680,681,682,683,684,685,686,687,688,691,692,693,694,695,696,
700,701,707,708,709,710,711,712,713,714,715,716,717,719,720,721,723,724,725,
726,728,729,733,735,736,737,742,744,745,746,747,748,749,750,751,752,753,754,
756,757,758,759,760,761,762,767,768,784,788,789,791,792,793,794,796,797,798,
829,830,831,832,833,834,865,866,873,885,887,889,906,923,935,946,967,968,969,
970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,999,1000,1001,
1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,
1017,1018,1019,1020,1021,1022,1023,1024,1025,1039,1040,1041,1042,1043,1047,
1049,1051,1053,1054,1055,1060,1064,1067,1070,1073,1074,1075,1076,1079,1080,
1084,1085,1086,1090,1091,1092,1093,1094,1097,1099,1100,1101,1102,1114,1121,
1122,1127,1128,1129,1130,1134,1136,1139,1141,1146,1152,1154,1157,1158,1159,
1168,1179,1180,1186,1188,1190,1196,1197,1204,1205,1209,1213,1217,1225,1226,
1231,1232,1233,1236,1242,1244,1247,1252,1255,1258,1259,1261,1265,1267,1268,
1269,1271,1273,1274,1282,1343,1357,1359,1367,1368,1369,1371,1375,1377,1380,
1387,1388,1390,1391,1392,1393,1395,1396,1397,1398,1399,1400,1401,1402,1403,
1406,1408,1409,1410,1411,1415,1416,1417,1418,1419,1420,1422,1423,1424,1425,
1426,1427,1428,1429,1430,1432,1434,1480,1482,1483,1484,1485,1487,1489,1516,
1518,1532,1533,1564,1571,1579,1580,1587,1588,1592,1593,1603,1604,1625,1644,
1646,1647,1689,1714,1715,1716,1717,1718,1719,1720,1729,1731,1732,1733,1734,
1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,
1750,1751,1762,1763,1764,1765,1766,1767,1768,1769,1770,1771,1772,1773,1774,
1775,1776,1777,1778,1779,1780,1832,1833,1834,1835,1836,1837,1838,1839,1840,
1841,1842,1844,1871,1873,1878,1879,1880,1881,1887,1892,1893,1894,1895,1897,
1899,1901,1904,1906,1907,1908,1909,1910,1922,1925,1926,1928,1948,1949,1955,
1956,1957,1958,1961,1962,1965,1966,1967,1975,1978,1980,1982,1984,1989,1991,
1992,1993,2008,2010,2019,2020,2021,2039,2053,2055,2056,2059,2178,2179,2187,
2188,2190,2191,2193,2194,2196,2198,2199,2200,2203,2204,2205,2206,2217,2228,
2240,2241,2242,2246,2248,2249,2250,2251,2252,2253,2254,2295,2302,2316,2319,
2320,2332,2335,2342,2343,2344,2394,2397,2406,2411,2416,2421,2423,2466,2471,
2472,2476,2477,2478,2479,2482,2483,2490,2491,2492,2493,2494,2495,2496,2497,
2498,2499,2500,2501,2502,2503,2508,2509,2513,2514,2515,2517,2518,2569,2591,
2592,2593,2594,2612,2613,2616,2626,2628,2638,2639,2640,2642,2643,2644,2645,
2666,2667,2685,2686,2694,2696,2697,2699,2709,2873,2874,2876,2877,2878,2901,
2902,2906,2907,2909,2910,2913,2914,2918,2919,2920,2923,2924,2925,2926,2927,
2940,2951,2986,2987,2993,3001,3005,3006,3023,3040,3051,3107,3124,3128,3129,
3132,3133,3137,3138,3139,3140,3141,3142,3209,3211,3222,3247,3248,3249,3250,
3251,3257,3260,3261,3268,3269,3400,3401,3402,3403,3413,3414,3415,3416,3431,
3432,3433,3434,3435,3451,3452,3538,3541,3542,3545,3546,3602,3676,3680,3704,
3732,3747,3811,3820,3821,3822,3823,3824,3825,3829,3832,3839,3842,3911,3920,
3998,3999,4009,4010,4013,4014,4033,4083,4087,4088,4090,4091,4104,4153,4207,
4208,4264,4324,4411],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,
23,24,25,26,28,30,32,40,41,42,43,44,45,46,49,50,51,52,53,54,55,56,57,58,59,60,
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,
87,89,90,91,92,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,
111,112,113,114,115,121,130,131,132,135,136,139,140,143,144,145,147,148,152,
155,156,157,158,159,160,162,163,164,165,166,168,169,170,171,173,175,176,179,
180,181,201,202,205,207,208,209,216,219,220,221,222,223,225,226,227,228,229,
230,231,232,233,235,239,240,244,245,246,247,249,250,251,252,253,257,258,259,
263,264,265,266,268,271,273,274,279,280,281,282,283,284,285,286,287,288,289,
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,
328,329,330,332,333,334,335,336,337,339,340,341,342,343,344,345,384,387,391,
408,409,414,416,417,421,422,423,424,425,426,427,429,430,431,432,433,435,437,
445,449,476,482,490,491,492,494,495,500,501,502,503,504,505,506,508,509,510,
511,512,513,519,520,521,523,524,526,527,533,536,537,538,539,540,541,542,543,
544,545,546,556,557,565,566,567,568,571,573,574,575,577,578,581,582,585,587,
588,589,594,598,601,605,606,611,612,614,616,618,620,622,623,624,651,653,664,
665,666,668,669,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,
686,689,697,698,699,701,705,706,708,710,711,718,722,727,730,731,732,733,734,
735,736,743,744,745,746,747,748,749,750,751,752,753,754,756,759,763,764,765,
766,767,768,776,777,785,787,790,792,793,794,795,829,830,831,832,833,834,865,
866,873,916,933,935,937,947,967,968,970,972,973,974,975,976,978,981,982,983,
984,985,987,988,989,990,995,996,997,999,1001,1002,1004,1005,1008,1009,1010,
1013,1014,1015,1018,1023,1024,1025,1040,1041,1042,1043,1047,1048,1049,1050,
1051,1052,1053,1054,1055,1060,1064,1066,1069,1071,1072,1078,1117,1121,1122,
1123,1124,1125,1129,1136,1140,1141,1144,1148,1157,1158,1159,1172,1176,1178,
1179,1180,1185,1187,1196,1197,1199,1204,1205,1206,1217,1219,1226,1227,1228,
1229,1236,1237,1244,1247,1250,1255,1260,1262,1264,1267,1268,1269,1271,1273,
1274,1282,1343,1357,1359,1362,1364,1380,1389,1394,1404,1405,1407,1408,1409,
1410,1411,1414,1415,1416,1421,1426,1431,1434,1476,1477,1478,1481,1486,1488,
1490,1497,1498,1566,1567,1586,1587,1593,1603,1604,1643,1644,1646,1647,1676,
1689,1714,1715,1717,1723,1727,1728,1729,1731,1733,1734,1736,1737,1738,1740,
1741,1744,1745,1753,1754,1755,1757,1762,1767,1768,1769,1770,1771,1772,1773,
1774,1779,1780,1832,1833,1834,1835,1836,1837,1838,1839,1840,1842,1843,1844,
1857,1865,1870,1875,1876,1877,1901,1904,1906,1907,1908,1909,1911,1923,1927,
1947,1949,1952,1953,1954,1956,1959,1960,1963,1966,1967,1971,1974,1979,1987,
1988,1990,1993,1997,2010,2019,2020,2021,2039,2054,2059,2166,2168,2178,2179,
2187,2188,2190,2191,2193,2194,2227,2228,2240,2243,2244,2245,2247,2273,2281,
2295,2302,2310,2395,2414,2415,2416,2420,2423,2466,2472,2473,2484,2485,2490,
2492,2508,2509,2511,2516,2517,2518,2522,2569,2609,2615,2626,2627,2629,2630,
2638,2639,2641,2645,2649,2668,2677,2684,2690,2695,2698,2709,2874,2876,2877,
2878,2881,2883,2884,2885,2888,2901,2906,2907,2931,2932,2940,2949,2986,2987,
2994,3000,3010,3023,3107,3124,3131,3135,3215,3217,3222,3247,3248,3251,3256,
3259,3264,3265,3270,3400,3401,3403,3406,3410,3413,3414,3416,3418,3419,3420,
3431,3432,3435,3438,3456,3539,3543,3545,3547,3597,3676,3680,3714,3731,3744,
3812,3817,3820,3822,3829,3830,3832,3835,3911,3918,3998,3999,4003,4005,4033,
4083,4092,4094,4100,4161,4213,4259,4324,4412],[1,2,3,4,5,6,8,9,10,11,12,13,14,
15,16,17,19,20,21,22,23,24,25,27,28,29,30,31,32,33,34,35,37,38,40,41,42,43,44,
45,46,49,50,51,52,53,54,55,56,57,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,
78,79,80,81,82,85,86,87,88,89,90,91,92,93,96,99,100,101,102,103,104,105,106,
107,108,109,110,113,114,116,121,133,134,137,140,143,144,148,153,154,155,156,
157,158,159,160,161,162,163,164,165,166,168,169,170,171,172,173,174,175,176,
177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,
197,199,200,201,202,203,204,205,206,207,208,209,210,217,218,219,220,221,227,
228,229,230,231,232,233,234,236,237,238,239,240,241,242,243,244,245,246,247,
248,249,254,255,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,
272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,
300,301,302,303,304,305,316,326,327,328,329,330,331,332,336,337,338,339,340,
343,344,346,347,350,351,352,356,357,358,361,362,363,367,372,379,384,386,387,
388,390,391,408,409,418,419,434,446,448,450,451,452,453,454,458,459,460,464,
469,472,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,
491,492,493,494,495,496,497,498,499,501,503,504,505,506,508,509,510,513,520,
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,
559,560,561,562,564,565,566,569,570,571,572,573,574,575,576,577,578,579,580,
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,
619,620,621,622,623,624,625,626,654,657,662,665,667,668,671,684,685,686,687,
688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,716,717,
718,719,720,721,722,723,724,734,737,740,741,742,743,755,756,757,758,759,760,
761,762,763,764,765,766,767,768,769,772,773,774,778,783,784,785,786,787,788,
796,799,800,801,802,803,804,805,806,809,810,811,812,813,814,815,816,821,828,
829,835,837,844,865,873,883,885,886,887,888,889,891,892,903,905,906,914,916,
921,922,923,926,927,931,933,935,936,937,938,940,944,946,947,951,953,960,962,
998,1040,1044,1048,1049,1050,1052,1053,1055,1066,1067,1068,1070,1073,1074,1075
,1076,1077,1079,1080,1081,1082,1084,1085,1086,1090,1091,1092,1093,1094,1095,
1096,1097,1105,1111,1114,1116,1118,1120,1121,1122,1123,1124,1125,1126,1127,
1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1140,1143,1144,1145,
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,
1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1279,1280,1281,1282,1283,
1284,1285,1286,1287,1288,1289,1345,1355,1365,1372,1388,1389,1390,1391,1392,
1393,1394,1395,1408,1413,1414,1417,1427,1431,1432,1433,1435,1436,1437,1446,
1447,1448,1449,1456,1457,1458,1459,1460,1461,1462,1463,1467,1468,1471,1487,
1488,1489,1492,1493,1503,1513,1516,1518,1532,1533,1553,1555,1564,1565,1571,
1579,1580,1586,1587,1593,1603,1604,1615,1619,1620,1621,1622,1624,1625,1634,
1636,1637,1638,1639,1643,1644,1647,1649,1650,1651,1656,1660,1662,1663,1664,
1670,1673,1675,1676,1679,1681,1683,1687,1688,1689,1690,1692,1700,1701,1705,
1706,1710,1711,1730,1832,1833,1842,1843,1853,1854,1859,1860,1861,1862,1863,
1864,1868,1869,1870,1871,1872,1873,1878,1879,1880,1881,1882,1883,1884,1885,
1886,1887,1896,1898,1899,1907,1911,1912,1915,1916,1917,1919,1920,1921,1922,
1923,1924,1925,1926,1927,1928,1929,1930,1931,1932,1933,1935,1936,1937,1938,
1941,1943,1944,1945,1946,1947,1951,1952,1953,1954,1957,1958,1959,1960,1961,
1962,1963,1964,1965,1966,1967,1968,1969,1972,1973,1974,1975,1976,1977,1978,
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,
2009,2010,2011,2012,2013,2014,2015,2016,2017,2018,2022,2023,2024,2025,2026,
2027,2028,2029,2030,2031,2032,2033,2034,2035,2036,2037,2038,2039,2040,2041,
2042,2043,2044,2046,2047,2048,2049,2050,2051,2052,2053,2054,2055,2056,2057,
2058,2059,2060,2061,2066,2070,2071,2072,2073,2074,2170,2175,2181,2214,2245,
2246,2256,2257,2258,2259,2267,2268,2274,2282,2285,2308,2310,2312,2316,2317,
2318,2319,2320,2321,2331,2332,2333,2335,2336,2342,2343,2344,2356,2357,2371,
2372,2388,2390,2391,2392,2394,2397,2399,2401,2402,2404,2405,2406,2409,2411,
2414,2415,2416,2419,2420,2423,2424,2426,2431,2434,2437,2442,2443,2448,2449,
2450,2454,2455,2463,2464,2466,2467,2480,2481,2521,2571,2591,2592,2593,2611,
2612,2615,2616,2626,2627,2628,2629,2630,2631,2632,2641,2645,2648,2651,2652,
2653,2654,2655,2656,2657,2658,2663,2664,2665,2666,2667,2668,2669,2671,2672,
2673,2674,2675,2676,2679,2680,2681,2682,2683,2684,2685,2686,2692,2693,2694,
2695,2696,2697,2698,2699,2700,2701,2702,2703,2704,2705,2706,2707,2710,2711,
2712,2713,2714,2718,2719,2720,2721,2722,2723,2724,2725,2727,2728,2729,2730,
2892,2916,2963,2988,2991,3009,3010,3016,3017,3023,3029,3034,3035,3036,3037,
3038,3039,3040,3041,3042,3043,3048,3051,3054,3055,3057,3059,3060,3062,3063,
3067,3068,3069,3072,3075,3077,3080,3081,3084,3086,3087,3088,3091,3094,3104,
3114,3125,3126,3150,3206,3213,3219,3253,3254,3255,3256,3257,3259,3260,3271,
3281,3282,3283,3284,3285,3286,3289,3291,3292,3293,3294,3295,3296,3297,3463,
3464,3465,3526,3529,3542,3543,3544,3545,3546,3547,3548,3551,3552,3553,3557,
3559,3561,3566,3567,3569,3573,3574,3577,3578,3604,3695,3739,3750,3814,3843,
3863,3864,3917,3918,3919,3920,3922,3925,3926,3928,4084,4085,4099,4109,4164,
4209,4266,4335,4336,4338,4413],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,19,21,22
,23,24,25,26,28,29,31,32,33,35,40,41,42,44,45,49,50,51,52,54,55,57,62,63,64,65
,66,67,68,69,70,73,74,75,76,77,78,79,80,81,82,85,86,89,90,91,96,99,100,101,102
,103,104,105,106,107,108,109,110,111,112,113,114,117,118,130,131,132,135,136,
139,141,144,153,160,162,165,168,172,173,179,180,184,185,186,187,189,199,201,
206,207,215,216,218,220,228,229,232,233,234,236,237,238,240,242,243,244,245,
247,249,251,252,254,255,257,258,259,264,265,266,273,274,281,283,284,285,286,
287,290,300,301,302,303,304,305,316,326,327,328,329,330,331,332,333,334,335,
336,337,338,339,340,343,344,346,347,348,349,350,351,353,354,355,366,369,380,
382,405,414,415,416,417,420,421,422,423,424,425,426,427,428,429,430,431,432,
433,435,436,437,438,445,447,449,450,451,457,459,460,474,482,483,484,500,502,
503,507,509,510,522,549,557,586,593,613,616,618,619,650,651,652,653,655,656,
658,659,660,661,663,664,667,671,684,685,686,687,688,691,692,693,694,695,696,
700,701,716,717,719,720,721,723,724,727,730,734,735,737,738,739,740,741,756,
767,768,776,777,779,780,784,787,788,790,791,792,794,796,809,810,811,812,824,
825,829,836,840,846,852,857,877,878,879,918,939,955,967,968,969,970,971,972,
973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,
992,993,994,995,996,997,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,
1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,
1025,1026,1038,1039,1047,1051,1055,1058,1069,1071,1072,1078,1084,1090,1091,
1092,1093,1094,1098,1115,1117,1139,1141,1183,1191,1192,1202,1232,1243,1264,
1351,1353,1356,1358,1359,1360,1361,1363,1366,1367,1368,1369,1370,1371,1373,
1374,1375,1376,1377,1378,1379,1380,1381,1388,1390,1391,1392,1393,1395,1408,
1419,1427,1432,1450,1453,1469,1472,1474,1475,1476,1478,1481,1487,1489,1491,
1492,1495,1502,1512,1515,1608,1613,1630,1642,1714,1715,1716,1717,1718,1719,
1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1731,1732,1733,1734,1735,
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,
1781,1782,1783,1784,1785,1786,1787,1788,1789,1810,1811,1812,1813,1815,1817,
1818,1819,1824,1841,1845,1846,1851,1855,1856,1857,1877,1899,1902,1908,1910,
1913,1914,1970,1971,2052,2185,2186,2189,2190,2191,2192,2194,2195,2197,2199,
2200,2201,2202,2205,2206,2207,2208,2211,2215,2216,2217,2218,2219,2220,2222,
2223,2224,2225,2226,2243,2246,2265,2266,2272,2277,2279,2294,2362,2398,2400,
2407,2471,2472,2473,2474,2475,2476,2477,2478,2479,2482,2483,2484,2485,2486,
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,
2517,2518,2519,2520,2522,2523,2524,2525,2526,2527,2528,2529,2530,2531,2573,
2576,2578,2580,2584,2585,2586,2588,2595,2596,2597,2598,2614,2617,2623,2636,
2637,2643,2670,2677,2688,2715,2895,2896,2899,2900,2904,2905,2907,2908,2910,
2911,2912,2914,2915,2917,2921,2922,2924,2925,2926,2927,2928,2929,2930,2933,
2934,2935,2937,2938,2939,2953,2965,2966,2976,2977,2984,3056,3124,3127,3128,
3129,3130,3131,3132,3133,3134,3135,3136,3137,3138,3139,3140,3141,3142,3143,
3144,3145,3146,3147,3148,3149,3151,3223,3226,3229,3231,3232,3234,3279,3287,
3425,3426,3427,3428,3429,3430,3443,3444,3445,3450,3452,3453,3454,3455,3457,
3458,3459,3460,3461,3469,3470,3472,3493,3496,3497,3518,3522,3533,3536,3597,
3598,3599,3600,3601,3602,3603,3684,3715,3716,3717,3718,3826,3827,3828,3845,
3846,3852,3853,3854,3856,3858,3859,3860,3861,3862,3903,3910,3912,3941,3995,
3996,4000,4017,4019,4034,4107,4108,4155,4210,4214,4215,4225,4227,4228,4230,
4325,4328,4330,4414],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,
23,24,25,26,28,29,30,31,32,33,35,37,38,40,41,42,44,45,46,49,50,51,52,53,54,55,
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,
82,83,84,85,86,87,89,90,91,92,94,95,96,97,98,99,100,101,102,103,104,105,106,
107,108,109,110,111,112,113,114,115,121,130,131,132,135,136,139,141,144,145,
148,152,153,155,156,157,160,162,165,166,169,170,171,172,173,174,175,176,180,
181,182,183,184,185,186,187,188,189,192,201,202,206,207,216,218,220,221,222,
223,224,225,226,228,229,230,231,232,233,234,235,236,237,238,242,243,244,245,
247,250,251,254,255,256,257,258,259,261,262,263,264,265,266,268,269,270,271,
272,273,274,275,278,279,281,283,284,285,286,287,290,291,292,293,294,295,296,
297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,
316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,333,334,335,
336,337,338,340,341,342,343,344,345,372,379,386,387,388,391,409,420,421,422,
423,424,425,426,427,428,429,430,431,432,433,435,436,437,438,447,450,451,457,
459,460,469,471,472,476,478,484,485,490,492,495,500,502,503,507,509,510,511,
513,519,520,521,522,524,526,528,529,531,532,533,538,539,540,542,543,544,545,
546,549,551,552,553,554,555,556,569,573,576,577,584,587,588,593,594,600,601,
606,607,611,612,614,615,618,619,622,624,651,653,655,658,659,661,664,666,667,
668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,
687,688,691,692,693,694,695,696,700,701,707,708,709,710,711,712,713,714,715,
716,717,719,720,721,723,724,725,726,728,729,733,735,736,737,742,744,745,746,
747,748,749,750,751,752,753,754,756,757,758,759,760,761,762,767,768,784,788,
789,791,792,793,794,796,797,798,829,830,831,832,833,834,866,867,873,885,887,
889,906,923,935,946,967,968,969,970,971,972,973,974,975,976,977,978,979,980,
981,982,983,984,985,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010
,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,
1039,1041,1042,1043,1045,1047,1051,1054,1055,1058,1059,1064,1065,1067,1084,
1090,1091,1092,1093,1094,1098,1099,1100,1101,1102,1104,1114,1121,1122,1127,
1128,1129,1130,1134,1136,1139,1141,1146,1152,1154,1157,1158,1159,1168,1179,
1180,1186,1188,1190,1196,1197,1204,1205,1209,1213,1217,1225,1226,1231,1232,
1233,1236,1242,1244,1247,1252,1255,1258,1259,1261,1265,1267,1268,1269,1271,
1273,1274,1343,1358,1359,1367,1368,1369,1371,1375,1377,1380,1387,1388,1390,
1391,1392,1393,1395,1396,1397,1398,1399,1400,1401,1402,1403,1406,1408,1409,
1410,1411,1415,1416,1417,1418,1419,1420,1422,1423,1424,1425,1426,1427,1428,
1429,1430,1432,1434,1480,1482,1483,1484,1485,1487,1489,1527,1532,1533,1577,
1579,1580,1588,1592,1602,1603,1604,1625,1646,1647,1714,1715,1716,1717,1718,
1719,1720,1729,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,
1743,1744,1745,1746,1747,1748,1749,1750,1751,1762,1763,1764,1765,1766,1767,
1768,1769,1770,1771,1772,1773,1774,1775,1776,1777,1778,1779,1780,1817,1818,
1819,1824,1825,1829,1838,1839,1840,1841,1844,1845,1846,1847,1850,1871,1891,
1892,1893,1894,1895,1897,1899,1901,1902,1906,1907,1908,1909,1910,1922,1925,
1926,1928,1948,1949,1955,1956,1957,1958,1961,1962,1965,1966,1967,1975,1978,
1980,1982,1984,1989,1991,1992,1993,2008,2010,2039,2053,2055,2056,2059,2178,
2179,2189,2190,2191,2194,2199,2200,2201,2205,2206,2207,2217,2240,2241,2242,
2246,2248,2249,2250,2251,2252,2253,2254,2300,2302,2335,2342,2343,2344,2346,
2350,2397,2411,2421,2423,2471,2472,2476,2477,2478,2479,2482,2483,2490,2491,
2492,2493,2494,2495,2496,2497,2498,2499,2500,2501,2502,2503,2508,2509,2513,
2514,2515,2517,2518,2569,2594,2595,2596,2597,2598,2599,2600,2605,2606,2607,
2613,2616,2617,2618,2622,2623,2626,2628,2638,2639,2640,2642,2643,2644,2666,
2667,2685,2686,2694,2696,2697,2699,2709,2715,2716,2873,2874,2876,2877,2878,
2900,2901,2902,2907,2910,2914,2924,2925,2926,2927,2928,2951,2987,3004,3005,
3006,3011,3012,3018,3019,3021,3051,3082,3093,3124,3128,3129,3132,3133,3137,
3138,3139,3140,3141,3142,3209,3211,3222,3244,3245,3247,3249,3250,3257,3258,
3268,3269,3272,3276,3277,3278,3279,3400,3401,3402,3403,3413,3414,3415,3416,
3426,3427,3428,3429,3430,3432,3433,3434,3435,3443,3452,3461,3521,3530,3531,
3541,3562,3563,3570,3575,3580,3602,3677,3680,3704,3733,3747,3811,3820,3821,
3822,3823,3824,3825,3827,3828,3829,3845,3846,3856,3858,3862,3892,3893,3924,
3929,3999,4013,4014,4015,4083,4087,4088,4090,4091,4107,4163,4197,4208,4264,
4322,4323,4334,4415],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,
24,25,26,28,29,30,32,35,40,41,44,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,
65,67,68,69,70,71,73,74,75,76,77,79,80,81,82,87,88,89,90,91,92,93,94,95,100,
101,103,104,105,106,107,108,109,110,111,112,118,130,131,132,135,136,139,141,
144,153,155,156,157,158,159,160,161,162,168,169,170,171,173,174,175,176,179,
180,181,188,189,190,195,199,201,202,204,205,206,207,208,215,218,219,221,222,
223,224,225,226,227,228,229,230,231,232,233,234,236,237,239,240,241,242,243,
244,245,246,247,248,249,250,251,252,253,257,258,260,261,262,263,264,265,266,
267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,
286,287,288,289,290,291,292,293,294,295,296,297,298,299,331,332,333,334,335,
336,337,338,339,340,346,347,348,349,350,351,366,369,381,383,405,414,415,416,
417,420,421,422,423,424,425,426,427,428,429,430,431,432,433,435,436,437,438,
445,447,449,450,457,460,474,475,476,477,478,479,482,483,484,485,490,491,492,
493,494,497,498,500,502,507,510,521,522,523,524,525,528,529,530,531,532,533,
534,535,536,537,538,539,540,541,543,544,545,546,551,556,557,559,560,561,569,
570,571,572,574,576,577,578,579,583,584,585,586,587,588,589,593,595,597,598,
599,600,605,606,607,608,609,612,613,615,616,618,619,620,621,650,652,656,660,
663,665,667,668,669,670,688,689,690,694,695,696,697,698,699,700,701,702,703,
704,705,706,707,708,709,710,711,734,735,737,738,739,740,741,742,743,750,751,
752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,769,770,771,
772,773,774,775,776,777,784,785,786,787,788,789,790,791,792,793,794,795,799,
800,801,802,803,804,805,806,807,808,809,810,811,812,857,876,880,881,884,895,
911,915,918,919,924,930,942,945,955,958,961,968,969,970,971,972,973,974,975,
977,978,979,980,981,982,983,984,986,987,988,989,990,991,992,993,994,995,996,
997,999,1000,1002,1003,1006,1007,1008,1009,1010,1011,1012,1016,1017,1018,1019,
1020,1021,1022,1023,1024,1039,1041,1042,1043,1045,1046,1047,1051,1058,1066,
1067,1068,1069,1071,1072,1078,1083,1089,1090,1098,1099,1103,1104,1115,1117,
1119,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1137,1138,
1139,1141,1142,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,
1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,
1183,1184,1185,1186,1187,1188,1189,1191,1192,1193,1194,1195,1196,1197,1198,
1199,1200,1201,1202,1203,1206,1207,1208,1209,1210,1211,1212,1213,1214,1217,
1218,1219,1220,1221,1222,1223,1224,1225,1228,1229,1230,1231,1232,1234,1235,
1236,1237,1238,1239,1240,1241,1242,1243,1246,1247,1248,1249,1250,1251,1252,
1253,1254,1257,1258,1259,1260,1261,1262,1263,1264,1343,1351,1353,1356,1360,
1361,1363,1366,1370,1373,1374,1376,1378,1379,1381,1387,1412,1413,1414,1415,
1417,1418,1419,1421,1422,1423,1424,1425,1426,1431,1432,1433,1445,1456,1457,
1458,1459,1460,1461,1466,1467,1468,1472,1473,1474,1475,1476,1477,1478,1479,
1490,1491,1492,1497,1498,1499,1504,1505,1512,1515,1552,1554,1562,1563,1584,
1585,1613,1617,1626,1627,1628,1629,1642,1648,1654,1658,1665,1669,1672,1678,
1680,1682,1684,1685,1691,1699,1704,1708,1715,1716,1717,1718,1719,1720,1721,
1722,1723,1724,1725,1726,1727,1728,1731,1732,1734,1735,1737,1739,1740,1741,
1742,1743,1746,1747,1749,1750,1752,1753,1754,1755,1756,1757,1758,1759,1760,
1761,1763,1764,1765,1775,1776,1777,1778,1779,1780,1781,1782,1783,1784,1785,
1786,1818,1824,1840,1841,1844,1851,1852,1855,1856,1857,1858,1865,1866,1867,
1870,1871,1872,1874,1875,1876,1877,1888,1889,1890,1891,1897,1902,1908,1910,
1913,1914,1918,1920,1921,1923,1924,1925,1927,1928,1929,1930,1931,1932,1933,
1934,1939,1940,1942,1943,1944,1945,1946,1948,1950,1955,1956,1960,1961,1962,
1963,1964,1968,1970,1971,1974,1975,1976,1977,1978,1979,1981,1982,1983,1984,
1985,1986,1987,1988,1993,1994,1995,1996,1997,1998,1999,2000,2001,2002,2003,
2004,2005,2006,2007,2008,2009,2012,2013,2014,2015,2016,2017,2018,2022,2023,
2024,2025,2026,2027,2028,2029,2030,2031,2033,2034,2035,2036,2041,2042,2043,
2044,2046,2047,2049,2050,2051,2052,2166,2168,2178,2179,2185,2186,2192,2195,
2197,2202,2208,2211,2215,2216,2218,2219,2220,2222,2223,2224,2225,2226,2242,
2255,2266,2273,2274,2275,2287,2289,2290,2294,2307,2309,2311,2313,2314,2315,
2330,2334,2352,2354,2370,2373,2387,2389,2393,2398,2400,2403,2407,2408,2413,
2417,2418,2425,2427,2430,2433,2436,2444,2446,2447,2465,2471,2473,2474,2475,
2477,2479,2484,2485,2486,2487,2488,2489,2490,2491,2493,2494,2496,2497,2501,
2502,2504,2505,2506,2507,2510,2511,2512,2524,2525,2526,2527,2567,2594,2607,
2609,2610,2614,2622,2623,2636,2637,2638,2640,2642,2643,2646,2647,2649,2650,
2659,2660,2661,2662,2664,2665,2667,2668,2669,2670,2677,2678,2681,2682,2683,
2687,2688,2689,2690,2691,2702,2710,2714,2718,2719,2721,2722,2724,2725,2727,
2730,2873,2874,2876,2877,2878,2880,2881,2883,2884,2885,2887,2888,2889,2895,
2896,2899,2901,2902,2904,2905,2908,2911,2912,2915,2917,2921,2922,2929,2930,
2933,2934,2935,2937,2938,2939,2950,2965,2966,2984,2989,2990,2992,3007,3008,
3014,3015,3030,3031,3032,3033,3044,3045,3046,3047,3052,3053,3056,3058,3061,
3064,3065,3066,3070,3071,3073,3074,3076,3078,3079,3083,3085,3089,3090,3092,
3095,3103,3127,3129,3134,3135,3136,3144,3145,3147,3148,3199,3203,3208,3214,
3221,3245,3250,3252,3262,3270,3275,3283,3287,3288,3290,3298,3401,3402,3403,
3404,3405,3406,3407,3408,3410,3411,3414,3415,3417,3418,3419,3420,3421,3422,
3425,3433,3434,3435,3437,3438,3439,3440,3441,3444,3445,3447,3448,3450,3453,
3454,3455,3457,3458,3459,3460,3469,3470,3472,3502,3505,3510,3522,3523,3527,
3528,3536,3537,3550,3554,3555,3556,3558,3560,3564,3565,3568,3571,3572,3576,
3579,3603,3674,3685,3687,3690,3701,3703,3705,3707,3710,3713,3737,3811,3812,
3813,3815,3816,3817,3818,3819,3820,3821,3823,3824,3826,3830,3831,3833,3834,
3835,3836,3837,3838,3841,3847,3848,3849,3850,3852,3853,3854,3859,3860,3861,
3891,3907,3910,3921,3923,3927,3983,3984,3997,4001,4004,4008,4020,4023,4025,
4027,4030,4032,4086,4088,4089,4092,4095,4096,4097,4098,4101,4108,4154,4196,
4202,4203,4205,4206,4211,4212,4216,4220,4231,4260,4321,4326,4327,4329,4331,
4333,4337,4416],[1,2,5,6,9,10,22,26,27,28,29,40,48,73,118,130,136,139,140,141,
153,168,199,215,216,366,414,420,423,438,439,445,446,447,474,627,660,661,663,
847,848,857,1007,1038,1291,1343,1344,1356,1357,1358,1360,1373,1374,1512,1811,
2083,2084,2166,2196,2197,2201,2218,2547,2573,2581,3115,3116,3193,3226,3586,
3753,4079,4168,4417],[1,2,4,5,6,7,8,9,10,11,12,13,19,20,22,23,26,28,29,32,35,
40,41,43,44,50,57,65,71,73,75,76,77,87,107,108,118,120,121,122,123,124,125,126
,130,132,136,139,140,141,142,143,144,145,146,147,148,151,153,154,155,156,157,
158,159,160,161,162,173,174,188,189,205,206,208,215,216,218,221,261,262,263,
281,331,366,369,381,383,386,387,390,393,405,407,408,420,428,429,445,446,449,
452,500,505,506,507,522,523,524,525,528,551,569,570,571,572,574,578,620,621,
629,630,631,632,650,651,652,663,742,848,849,857,858,859,860,861,862,863,864,
865,866,867,868,869,870,871,873,874,911,913,914,915,918,919,938,942,944,945,
961,971,1038,1039,1040,1041,1044,1045,1046,1058,1059,1060,1063,1067,1068,1078,
1079,1080,1083,1137,1139,1142,1219,1220,1221,1223,1293,1294,1296,1297,1317,
1319,1343,1344,1356,1358,1360,1378,1379,1552,1562,1563,1564,1565,1566,1569,
1584,1592,1601,1602,1606,1607,1642,1643,1669,1673,1678,1790,1810,1873,1874,
1920,1948,1950,2085,2097,2098,2099,2103,2104,2105,2106,2107,2108,2109,2120,
2121,2179,2180,2185,2189,2195,2294,2295,2297,2298,2299,2300,2301,2304,2307,
2308,2309,2350,2351,2388,2389,2390,2393,2427,2535,2567,2568,2569,2570,2573,
2770,2772,2777,2811,2812,2820,2821,2845,2849,2873,2875,2992,2993,2995,2997,
3014,3016,3076,3157,3171,3193,3220,3221,3231,3308,3309,3310,3317,3318,3490,
3491,3617,3674,3675,3677,3678,3681,3685,3686,3773,3775,3878,3879,3952,3981,
4129,4135,4136,4236,4278,4279,4281,4418],[1,2,3,4,5,6,7,8,9,10,12,13,15,16,17,
19,20,21,22,23,26,28,29,31,32,33,34,35,36,38,39,40,41,42,44,45,46,47,50,52,55,
56,62,65,68,70,71,73,75,76,77,79,80,87,92,106,107,108,109,118,120,121,122,123,
124,125,126,130,132,136,139,140,141,143,145,146,153,155,156,159,162,163,165,
166,172,173,174,177,178,179,180,182,183,184,185,186,187,188,189,190,195,197,
198,200,201,204,206,208,209,215,216,231,232,262,268,270,275,278,279,281,283,
338,366,367,369,370,373,374,375,376,377,378,379,380,381,382,383,384,385,386,
387,388,389,393,394,395,396,397,398,399,400,401,402,405,409,410,416,429,445,
446,449,452,453,455,457,461,464,470,471,480,481,484,485,486,487,488,489,497,
498,500,502,504,505,511,514,526,527,528,547,548,549,550,551,552,553,554,555,
556,560,561,562,569,574,575,581,582,590,591,592,593,595,602,603,604,607,609,
617,623,629,630,631,632,650,651,656,658,660,661,761,848,849,857,865,866,867,
868,869,870,871,877,878,879,880,882,883,884,891,892,893,894,895,897,898,899,
900,901,904,906,908,909,910,911,915,918,919,924,927,928,929,939,942,943,946,
947,949,954,958,961,994,1038,1051,1053,1071,1073,1078,1080,1083,1085,1086,1087
,1089,1113,1134,1135,1160,1161,1162,1163,1164,1165,1166,1168,1181,1215,1216,
1227,1245,1256,1294,1295,1297,1301,1302,1303,1304,1305,1306,1307,1308,1317,
1318,1319,1320,1321,1322,1323,1343,1344,1352,1364,1366,1371,1514,1515,1517,
1518,1526,1527,1528,1529,1530,1531,1536,1540,1552,1554,1562,1564,1566,1567,
1568,1569,1581,1582,1584,1588,1589,1590,1591,1592,1593,1595,1607,1614,1618,
1626,1630,1631,1632,1633,1639,1640,1645,1646,1653,1655,1659,1666,1668,1674,
1678,1680,1682,1684,1685,1694,1702,1703,1709,1790,1810,1811,1812,1881,1889,
2011,2087,2093,2094,2097,2099,2103,2109,2128,2129,2131,2132,2133,2134,2135,
2139,2140,2142,2143,2144,2145,2147,2149,2168,2169,2179,2180,2213,2322,2323,
2324,2325,2326,2327,2328,2329,2330,2332,2345,2347,2353,2355,2369,2374,2380,
2395,2396,2410,2412,2421,2422,2430,2432,2435,2445,2452,2453,2462,2532,2535,
2536,2537,2567,2568,2569,2570,2580,2589,2762,2770,2775,2782,2785,2788,2793,
2794,2799,2800,2811,2812,2838,2839,2842,2843,2848,2850,2852,2887,2891,3049,
3050,3102,3158,3159,3160,3165,3166,3167,3170,3171,3193,3201,3204,3208,3210,
3211,3212,3217,3218,3230,3312,3315,3336,3337,3346,3348,3375,3377,3382,3383,
3388,3490,3491,3612,3613,3634,3639,3647,3666,3681,3694,3696,3783,3784,3878,
3879,3883,3884,3885,3888,3969,3990,4127,4132,4133,4137,4139,4142,4236,4295,
4345,4346,4419],[1,2,4,5,6,7,8,9,10,12,13,19,20,22,23,26,28,29,31,32,34,35,38,
39,40,41,42,44,46,50,51,65,71,73,74,75,76,77,101,108,118,120,121,122,123,124,
125,126,130,132,136,139,140,141,143,145,146,153,155,156,159,160,162,163,168,
172,173,174,177,178,179,180,188,189,190,195,197,199,201,204,206,208,215,216,
219,221,258,280,281,282,332,366,367,369,373,374,375,376,377,378,379,380,381,
383,384,385,386,387,388,389,393,399,400,401,402,405,409,414,429,445,446,447,
448,449,452,454,457,464,470,471,474,479,482,483,484,485,497,498,500,501,505,
507,508,521,522,528,536,551,556,557,559,560,561,562,569,574,576,586,593,595,
597,607,609,613,619,629,630,631,632,650,651,656,658,660,661,743,848,849,857,
865,866,867,868,869,870,871,876,877,880,881,882,883,884,891,892,893,895,904,
906,908,909,910,911,915,918,919,924,927,929,930,942,945,946,947,955,958,961,
987,1038,1041,1050,1069,1070,1078,1080,1081,1082,1098,1111,1125,1126,1156,1167
,1168,1169,1181,1202,1203,1225,1243,1254,1294,1295,1297,1303,1304,1305,1306,
1307,1308,1317,1318,1319,1320,1321,1343,1344,1351,1361,1366,1371,1512,1513,
1515,1518,1526,1527,1528,1529,1530,1531,1535,1539,1552,1554,1562,1564,1566,
1569,1570,1571,1577,1584,1586,1592,1593,1594,1595,1602,1607,1613,1617,1618,
1626,1627,1628,1629,1639,1642,1644,1648,1654,1658,1665,1669,1672,1678,1680,
1682,1684,1685,1691,1699,1704,1708,1790,1810,1811,1812,1875,1882,2009,2086,
2087,2093,2097,2099,2103,2109,2128,2129,2131,2134,2135,2136,2139,2140,2142,
2143,2147,2149,2166,2167,2179,2180,2208,2311,2312,2330,2331,2332,2333,2345,
2346,2347,2348,2352,2354,2370,2373,2376,2387,2394,2407,2409,2418,2420,2430,
2433,2436,2444,2446,2447,2465,2532,2535,2537,2567,2568,2569,2570,2580,2588,
2758,2770,2775,2783,2784,2787,2788,2794,2799,2800,2811,2812,2832,2833,2841,
2844,2845,2850,2852,2883,2886,3047,3048,3103,3158,3160,3163,3165,3166,3170,
3171,3193,3199,3200,3208,3210,3211,3212,3214,3216,3229,3311,3314,3336,3337,
3347,3349,3371,3374,3378,3381,3387,3490,3491,3610,3613,3634,3638,3646,3665,
3681,3687,3692,3781,3782,3878,3879,3883,3884,3886,3887,3970,3989,4125,4132,
4133,4138,4140,4141,4236,4293,4345,4347,4420],[1,2,4,5,6,7,8,9,10,12,13,19,22,
23,25,26,28,29,32,35,38,39,40,44,50,65,73,75,76,77,103,107,108,110,118,120,121
,122,123,124,125,126,130,132,136,139,140,141,143,145,146,153,155,156,159,173,
174,180,188,189,195,201,204,206,208,215,216,247,249,281,331,339,350,351,366,
369,373,374,375,376,377,378,379,381,386,387,393,405,429,436,438,445,446,449,
452,457,464,470,471,484,485,497,498,500,505,528,551,556,561,569,574,593,595,
607,609,629,630,631,632,650,651,656,658,660,661,810,848,849,852,853,854,855,
856,857,865,866,867,868,869,870,871,884,904,906,911,915,918,919,924,958,961,
1011,1038,1078,1080,1117,1118,1139,1144,1168,1181,1294,1297,1305,1306,1307,
1308,1317,1319,1343,1344,1366,1371,1515,1518,1526,1527,1528,1529,1530,1531,
1552,1554,1562,1564,1566,1569,1584,1592,1593,1595,1606,1607,1608,1609,1678,
1680,1682,1684,1685,1790,1810,1811,1812,1914,1915,2097,2099,2103,2109,2128,
2131,2147,2149,2179,2180,2304,2305,2330,2332,2345,2347,2428,2429,2430,2438,
2439,2532,2535,2567,2568,2569,2570,2580,2581,2582,2770,2775,2799,2800,2811,
2812,2850,2852,2902,2903,3106,3158,3161,3162,3170,3171,3193,3208,3210,3211,
3212,3236,3317,3319,3328,3329,3336,3337,3490,3491,3615,3634,3681,3798,3799,
3878,3879,3883,3884,3953,4018,4130,4131,4132,4133,4236,4345,4421],[1,2,3,4,6,9
,10,11,12,13,14,15,16,17,19,21,22,23,24,25,26,29,31,33,35,42,44,45,48,49,50,51
,52,54,55,57,62,63,64,65,66,67,68,69,70,73,74,75,76,77,78,79,80,81,82,85,86,89
,90,91,96,99,100,101,102,103,104,105,108,109,110,113,114,130,131,132,135,136,
140,141,144,165,172,184,185,186,187,189,214,216,218,220,228,229,232,233,234,
236,237,238,242,243,244,245,247,254,255,257,258,259,264,265,266,273,274,281,
283,284,285,286,287,290,300,301,302,303,304,305,316,326,327,328,329,330,336,
340,343,344,420,421,422,423,424,425,426,427,428,429,430,431,432,433,435,436,
437,438,439,446,447,448,450,451,452,453,457,459,460,501,503,504,505,507,509,
510,549,565,651,653,655,658,659,661,664,667,671,684,685,686,687,688,691,692,
693,694,695,696,700,701,716,717,719,720,721,723,724,756,767,768,784,788,796,
829,847,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,
984,985,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,
1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1033,1049,
1055,1058,1070,1073,1074,1075,1076,1080,1084,1090,1091,1092,1093,1094,1098,
1282,1335,1357,1358,1359,1367,1368,1369,1371,1375,1377,1380,1388,1390,1391,
1392,1393,1395,1408,1427,1432,1487,1489,1511,1714,1715,1716,1717,1718,1719,
1720,1729,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1743,
1744,1745,1746,1747,1748,1749,1750,1751,1762,1763,1764,1765,1766,1767,1768,
1769,1770,1771,1772,1773,1774,1775,1776,1777,1778,1779,1780,1817,1818,1819,
1824,1832,1845,1846,1887,1899,1902,2084,2164,2187,2188,2189,2190,2191,2193,
2194,2196,2198,2199,2200,2201,2203,2204,2205,2206,2207,2217,2228,2246,2471,
2472,2476,2477,2478,2479,2482,2483,2490,2491,2492,2493,2494,2495,2496,2497,
2498,2499,2500,2501,2502,2503,2508,2509,2513,2514,2515,2517,2518,2547,2548,
2549,2591,2592,2595,2596,2597,2598,2617,2623,2645,2715,2750,2900,2906,2907,
2909,2910,2913,2914,2918,2919,2920,2923,2924,2925,2926,2927,2928,2940,2964,
3124,3128,3129,3132,3133,3137,3138,3139,3140,3141,3142,3186,3187,3191,3260,
3279,3426,3427,3428,3429,3430,3431,3443,3451,3452,3461,3492,3602,3752,3753,
3756,3827,3828,3832,3839,3842,3845,3846,3856,3858,3862,3978,4048,4049,4050,
4104,4107,4195,4348,4422],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21
,22,23,24,25,28,29,31,32,33,35,40,41,42,44,45,46,49,50,51,52,53,54,55,56,57,58
,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,
108,109,110,111,112,113,114,115,116,117,118,120,121,139,141,144,145,148,152,
153,155,156,157,160,162,165,166,168,172,173,174,179,180,182,183,184,185,186,
187,188,189,190,199,201,206,207,218,219,220,221,222,223,224,225,226,227,228,
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,
362,363,364,365,366,369,380,381,382,386,388,389,405,409,445,447,449,450,451,
457,459,460,474,479,482,483,484,485,494,500,502,503,507,509,510,511,513,519,
520,521,522,524,526,528,536,549,551,552,553,554,555,556,557,559,560,569,573,
576,577,586,593,597,607,608,611,613,616,618,619,622,625,629,665,666,667,668,
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,
840,841,842,843,844,845,846,849,852,857,866,867,868,873,876,877,878,879,884,
894,911,918,919,930,939,943,946,955,1039,1041,1042,1043,1045,1047,1051,1054,
1055,1058,1059,1064,1065,1067,1069,1071,1072,1078,1083,1084,1089,1090,1091,
1092,1093,1094,1098,1099,1100,1101,1102,1104,1115,1117,1125,1126,1134,1139,
1141,1156,1167,1168,1169,1183,1185,1191,1192,1202,1203,1206,1207,1208,1217,
1225,1226,1231,1232,1233,1243,1246,1254,1263,1264,1270,1271,1280,1288,1294,
1318,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,
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,
1506,1507,1508,1509,1510,1512,1515,1538,1539,1541,1552,1562,1577,1579,1580,
1584,1588,1589,1592,1608,1609,1613,1617,1630,1632,1633,1642,1646,1647,1648,
1658,1668,1817,1818,1819,1824,1838,1839,1840,1841,1844,1845,1846,1847,1850,
1851,1852,1855,1856,1857,1858,1865,1874,1875,1876,1877,1888,1889,1891,1892,
1893,1894,1895,1897,1899,1901,1902,1906,1907,1908,1909,1910,1913,1914,1922,
1925,1934,1939,1940,1944,1948,1949,1955,1956,1957,1958,1970,1971,1973,1981,
1988,1990,2009,2017,2032,2036,2044,2045,2052,2060,2086,2103,2139,2147,2240,
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,
2286,2287,2288,2289,2290,2291,2292,2294,2300,2301,2302,2307,2311,2330,2350,
2355,2362,2363,2370,2379,2382,2387,2397,2398,2400,2407,2408,2418,2421,2439,
2594,2595,2596,2597,2598,2599,2600,2606,2607,2609,2610,2613,2614,2616,2617,
2618,2622,2623,2627,2636,2637,2638,2639,2640,2642,2643,2644,2646,2647,2649,
2650,2659,2660,2661,2670,2673,2677,2678,2679,2681,2687,2688,2689,2690,2691,
2703,2706,2708,2709,2715,2716,2726,2731,2770,2783,2833,2843,2949,2950,2951,
2952,2953,2954,2955,2956,2957,2958,2959,2960,2961,2962,2963,2965,2966,2976,
2977,2978,2984,2987,2990,2992,3004,3005,3006,3011,3012,3047,3053,3056,3061,
3064,3070,3082,3096,3244,3245,3247,3249,3250,3252,3258,3262,3265,3266,3268,
3269,3270,3272,3273,3274,3275,3276,3277,3278,3279,3281,3287,3288,3290,3298,
3308,3311,3328,3348,3489,3493,3494,3495,3496,3497,3502,3503,3505,3510,3517,
3518,3521,3522,3523,3533,3534,3536,3537,3541,3571,3580,3731,3733,3736,3737,
3738,3741,3745,3747,3757,3776,3777,3786,3891,3892,3893,3894,3899,3900,3901,
3902,3903,3904,3905,3907,3910,3912,3913,3915,3921,3923,3924,4046,4051,4055,
4057,4062,4152,4154,4155,4156,4158,4159,4162,4163,4239,4245,4247,4308,4349,
4350,4351,4423],[1,2,4,5,6,9,10,11,12,13,22,23,24,26,27,28,29,32,35,40,44,50,
51,57,73,74,82,100,101,107,116,118,130,132,134,136,139,141,144,153,155,168,173
,174,189,199,200,206,209,215,218,236,237,239,257,258,352,366,369,381,405,414,
415,418,420,428,429,445,447,450,474,479,500,528,536,569,586,592,597,627,650,
656,660,688,718,778,849,857,876,884,918,930,954,971,986,987,1039,1058,1069,
1115,1156,1290,1291,1343,1345,1351,1356,1361,1366,1446,1512,1562,1584,1606,
1614,1617,1721,1818,1851,2077,2079,2080,2166,2170,2179,2185,2208,2294,2311,
2360,2567,2743,2745,2873,2880,2883,2895,2965,3115,3199,3208,3214,3300,3404,
3517,3584,3674,3687,3930,3983,4250,4353,4424],[1,2,3,4,5,6,9,10,11,12,13,16,21
,22,24,25,26,27,28,29,32,33,35,40,44,45,50,51,57,66,68,73,74,82,85,86,91,99,
100,101,103,113,114,118,130,132,133,134,136,137,139,141,144,153,155,166,168,
173,174,182,183,185,189,199,206,215,218,236,237,254,257,258,264,300,304,328,
329,366,369,381,382,405,414,415,418,419,420,428,429,434,445,447,450,459,474,
479,500,509,528,536,554,569,586,597,627,650,656,660,684,688,691,719,720,852,
857,876,878,884,894,918,930,943,971,986,987,998,1039,1058,1069,1092,1115,1156,
1290,1291,1292,1343,1345,1351,1356,1361,1366,1390,1512,1541,1562,1584,1608,
1617,1632,1721,1818,1819,1846,1851,2077,2078,2079,2080,2081,2166,2170,2175,
2179,2181,2185,2208,2294,2311,2379,2567,2596,2743,2744,2746,2747,2748,2873,
2880,2883,2892,2895,2965,2977,3115,3199,3208,3214,3302,3404,3496,3584,3674,
3687,3930,3983,4250,4353,4359,4425],[1,2,3,4,6,7,10,13,14,16,18,19,21,23,24,25
,26,27,29,33,35,36,39,44,45,47,58,59,63,65,68,72,79,83,84,85,90,91,92,94,95,99
,100,107,112,114,115,124,130,132,133,134,136,137,140,146,150,159,166,167,182,
183,185,189,195,196,198,200,209,216,227,240,246,252,266,268,293,294,310,314,
315,321,322,328,370,375,393,394,395,396,410,415,416,418,419,423,429,433,434,
453,461,463,465,466,486,487,505,516,517,554,561,563,582,592,603,627,651,658,
661,680,699,705,706,730,731,732,855,856,869,896,897,898,899,900,904,928,949,
950,984,986,994,998,1048,1062,1085,1108,1109,1116,1163,1290,1291,1292,1344,
1347,1348,1352,1357,1364,1371,1407,1517,1545,1546,1549,1550,1581,1595,1612,
1640,1641,1726,1820,1821,1828,1848,1849,1859,2077,2078,2079,2080,2081,2169,
2171,2172,2173,2174,2180,2182,2183,2187,2213,2296,2326,2386,2570,2603,2604,
2743,2744,2746,2747,2748,2879,2882,2891,2893,2894,2897,2969,2979,2980,3116,
3204,3212,3218,3302,3412,3500,3585,3679,3696,3931,3988,4251,4355,4360,4361,
4426],[1,2,4,5,6,9,10,11,12,13,19,20,22,23,24,26,27,28,29,32,35,40,41,44,50,51
,57,65,71,73,74,75,76,77,82,87,88,100,101,107,108,118,130,132,134,136,139,141,
144,153,155,159,160,162,168,173,174,179,180,189,190,195,199,201,206,215,218,
219,221,236,237,239,240,241,257,258,260,261,262,263,280,281,282,331,332,346,
347,366,369,381,383,405,414,415,416,418,420,423,428,429,433,436,438,445,447,
449,450,457,474,479,482,483,484,485,500,507,521,522,528,536,556,557,559,560,
561,569,576,586,593,597,607,613,619,627,650,652,656,660,663,688,689,690,742,
743,769,799,800,809,857,876,880,881,884,915,918,924,930,945,971,984,986,987,
994,997,1007,1011,1017,1021,1022,1039,1041,1058,1069,1078,1083,1098,1115,1125,
1126,1139,1156,1167,1168,1169,1202,1203,1225,1243,1254,1290,1291,1343,1345,
1351,1353,1356,1361,1366,1370,1374,1376,1378,1456,1512,1515,1554,1562,1584,
1617,1628,1629,1642,1672,1721,1726,1752,1753,1778,1781,1782,1818,1851,1852,
1874,1875,1913,1934,1948,2009,2077,2079,2080,2082,2083,2166,2168,2170,2179,
2185,2197,2202,2208,2211,2216,2220,2226,2294,2311,2330,2352,2387,2407,2418,
2527,2567,2650,2743,2749,2873,2877,2880,2883,2887,2888,2895,2902,2922,2929,
2935,2965,2992,3047,3115,3199,3203,3208,3214,3221,3301,3404,3411,3417,3420,
3434,3439,3447,3470,3505,3584,3586,3590,3674,3687,3690,3703,3707,3713,3850,
3930,3932,3934,3983,4004,4008,4020,4166,4216,4250,4353,4356,4427],[1,2,3,4,5,6
,8,9,10,12,13,14,15,16,17,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,37,
38,40,41,42,43,44,45,46,50,52,55,56,62,63,65,68,70,71,73,74,75,76,77,79,80,81,
87,88,90,92,100,101,106,107,108,109,110,121,130,131,132,134,135,136,139,140,
143,145,147,155,156,158,159,160,161,162,163,164,165,166,168,169,170,171,172,
173,174,175,176,177,178,179,180,182,183,184,185,186,187,188,189,190,191,192,
194,195,197,199,200,201,204,206,208,209,215,216,221,227,231,232,237,240,241,
243,245,246,248,260,262,266,268,270,272,275,278,279,281,282,283,285,286,287,
288,289,331,332,338,339,346,347,351,367,372,379,384,386,387,388,390,391,408,
409,414,415,416,418,420,423,424,425,428,429,430,431,433,436,438,445,448,449,
453,454,455,456,458,471,475,476,477,478,479,480,481,483,486,487,488,489,497,
498,500,502,505,506,511,523,525,526,527,532,533,534,535,537,540,541,547,548,
549,550,551,552,553,554,555,556,557,560,561,562,564,572,574,575,576,581,582,
586,590,591,592,593,595,600,602,603,604,607,609,613,617,619,623,627,650,651,
652,653,655,656,658,659,660,661,663,664,690,699,700,704,757,761,763,764,772,
801,804,805,806,809,811,865,866,883,885,886,887,888,889,891,892,903,906,916,
922,923,926,927,931,933,935,936,937,938,946,947,971,978,984,986,987,988,989,
993,994,997,1006,1007,1011,1016,1017,1019,1020,1021,1022,1040,1041,1048,1051,
1060,1071,1072,1076,1078,1081,1083,1085,1087,1089,1095,1115,1116,1124,1133,
1134,1135,1139,1144,1147,1152,1155,1160,1161,1162,1163,1164,1165,1166,1167,
1181,1212,1214,1215,1216,1222,1227,1243,1245,1252,1256,1290,1291,1343,1344,
1349,1351,1352,1353,1354,1356,1357,1361,1362,1364,1366,1367,1368,1369,1370,
1371,1374,1375,1376,1377,1378,1380,1461,1513,1514,1516,1526,1555,1566,1567,
1571,1588,1592,1593,1619,1620,1621,1622,1624,1625,1634,1639,1643,1646,1675,
1676,1721,1724,1726,1752,1753,1754,1761,1777,1778,1781,1782,1784,1826,1852,
1853,1856,1859,1876,1878,1883,1889,1913,1916,1937,1939,1954,1955,2007,2011,
2077,2079,2080,2082,2083,2166,2167,2168,2169,2177,2178,2179,2180,2185,2187,
2197,2198,2202,2204,2208,2209,2210,2211,2212,2213,2216,2217,2220,2221,2226,
2227,2295,2319,2322,2323,2329,2331,2345,2357,2391,2395,2404,2412,2414,2421,
2526,2527,2568,2569,2655,2661,2743,2749,2875,2877,2878,2879,2880,2882,2884,
2885,2886,2887,2888,2889,2890,2891,2895,2897,2902,2903,2919,2922,2929,2931,
2935,2936,2967,3000,3001,3035,3050,3115,3116,3200,3201,3202,3205,3209,3210,
3211,3215,3216,3217,3220,3222,3301,3407,3409,3411,3412,3418,3422,3423,3424,
3433,3436,3440,3442,3447,3449,3467,3470,3511,3584,3585,3586,3587,3589,3590,
3675,3676,3688,3689,3691,3692,3693,3694,3702,3704,3709,3711,3712,3714,3849,
3851,3930,3931,3932,3933,3934,3935,3985,3987,4003,4007,4010,4012,4021,4022,
4165,4166,4217,4223,4252,4354,4357,4358,4428],[1,2,3,4,5,6,9,10,12,13,14,15,16
,17,19,22,23,24,25,26,27,28,29,31,32,33,35,40,41,42,44,45,50,51,52,54,55,62,63
,64,65,73,74,75,76,77,79,80,81,100,101,103,104,105,106,107,108,109,110,118,130
,131,132,134,135,136,139,140,160,165,168,172,173,179,180,184,185,186,187,189,
199,200,201,204,206,208,209,215,216,228,229,237,240,243,244,247,249,258,281,
283,284,285,286,287,290,331,332,336,337,338,339,340,346,347,350,351,366,369,
380,381,382,383,405,414,415,416,417,418,420,422,423,424,425,426,427,428,429,
430,431,433,436,438,445,446,448,449,452,453,500,501,502,504,505,549,557,586,
590,591,592,593,595,613,617,619,623,627,650,651,652,653,655,656,658,659,660,
661,663,664,734,737,740,741,767,787,788,809,810,811,812,848,849,852,876,877,
878,879,880,881,918,939,945,954,955,958,961,968,969,971,977,978,979,980,981,
982,983,984,986,987,988,989,990,991,992,993,994,997,1000,1003,1006,1007,1011,
1012,1016,1017,1019,1020,1021,1022,1038,1047,1049,1069,1070,1071,1072,1073,
1074,1075,1076,1078,1080,1115,1116,1117,1118,1139,1140,1144,1243,1245,1290,
1291,1343,1344,1351,1352,1353,1354,1356,1357,1361,1362,1364,1366,1367,1368,
1369,1370,1371,1374,1375,1376,1377,1378,1380,1492,1535,1536,1537,1538,1607,
1608,1613,1614,1628,1630,1680,1699,1702,1703,1704,1715,1719,1721,1722,1723,
1724,1725,1726,1732,1735,1739,1742,1743,1752,1753,1754,1755,1759,1760,1761,
1775,1776,1777,1778,1781,1782,1783,1784,1810,1811,1812,1813,1814,1815,1816,
1877,1887,1910,1911,1912,1913,1914,1915,1916,1917,1970,1972,2077,2079,2080,
2082,2083,2166,2167,2168,2169,2179,2180,2185,2186,2187,2188,2192,2193,2196,
2197,2198,2202,2203,2204,2208,2209,2210,2211,2212,2213,2216,2217,2220,2221,
2226,2227,2358,2362,2364,2384,2428,2435,2436,2473,2474,2488,2489,2491,2506,
2507,2524,2525,2526,2527,2574,2575,2576,2577,2578,2579,2580,2581,2582,2583,
2584,2585,2586,2587,2588,2589,2670,2671,2743,2749,2880,2882,2888,2890,2895,
2896,2897,2898,2902,2903,2905,2906,2908,2909,2912,2913,2918,2919,2920,2921,
2922,2923,2929,2931,2932,2935,2936,3105,3115,3116,3144,3193,3223,3224,3225,
3227,3228,3229,3230,3233,3234,3235,3236,3237,3238,3239,3240,3301,3444,3446,
3447,3449,3450,3451,3455,3456,3466,3467,3468,3469,3470,3471,3584,3585,3586,
3587,3589,3590,3665,3666,3681,3718,3719,3720,3721,3722,3723,3724,3854,3855,
3930,3931,3932,3933,3934,3935,3991,3994,4018,4038,4079,4165,4166,4229,4253,
4254,4255,4362,4363,4364,4429],[1,2,4,5,6,8,9,10,12,13,22,26,28,29,31,32,34,35
,40,42,44,48,50,51,73,74,101,118,120,121,130,132,136,139,140,141,143,145,153,
155,156,168,172,173,174,188,189,199,206,212,215,258,366,367,369,380,381,384,
385,386,405,414,429,439,440,442,445,446,447,448,454,474,479,500,501,528,536,
551,569,586,597,629,650,656,660,848,857,865,866,867,868,876,877,883,884,911,
918,919,930,955,987,1027,1031,1069,1070,1156,1294,1295,1343,1344,1351,1361,
1366,1383,1512,1513,1535,1552,1562,1564,1577,1584,1586,1592,1613,1617,1648,
1658,2086,2087,2097,2103,2166,2167,2179,2208,2230,2311,2312,2370,2547,2567,
2568,2758,2770,2783,2883,3193,3199,3200,3208,3214,3311,3479,3665,3687,3878,
4125,4168,4309,4366,4430],[1,2,3,4,5,6,7,8,9,10,15,16,19,22,23,26,28,29,30,31,
32,33,34,36,37,40,41,43,44,45,48,52,62,73,75,79,80,109,118,121,124,125,126,130
,131,135,139,140,141,142,145,146,153,154,156,158,159,168,169,170,175,177,179,
182,184,185,191,193,199,200,205,208,213,216,283,366,367,370,372,382,383,387,
388,393,394,398,402,408,414,416,425,439,441,443,445,446,447,449,453,455,461,
474,475,480,486,502,504,529,537,547,552,558,570,574,583,590,598,602,631,651,
655,659,848,857,860,861,862,863,866,869,878,880,885,891,897,914,921,922,931,
937,951,953,988,1028,1032,1071,1073,1145,1161,1297,1302,1303,1343,1344,1352,
1362,1367,1384,1512,1514,1517,1536,1553,1563,1566,1569,1575,1578,1585,1588,
1590,1599,1615,1619,1649,1650,1660,1664,2093,2094,2099,2105,2166,2168,2169,
2178,2209,2231,2313,2322,2325,2371,2547,2569,2570,2762,2773,2779,2780,2884,
3193,3201,3204,3209,3215,3313,3478,3666,3688,3879,4127,4168,4310,4367,4431],[1
,2,4,5,6,8,9,10,12,13,19,22,23,26,28,29,32,35,38,40,41,44,48,50,65,73,75,76,77
,108,118,120,121,130,132,136,139,140,141,143,145,153,155,156,160,162,168,173,
174,179,180,189,195,199,201,204,206,214,215,281,366,369,378,379,381,383,386,
387,405,414,416,429,439,440,442,445,446,447,449,452,457,464,471,474,482,483,
484,485,497,500,505,507,522,528,556,557,569,593,607,613,629,650,656,660,848,
849,857,865,866,867,868,881,884,906,911,918,924,930,942,945,955,958,997,1033,
1037,1078,1080,1098,1168,1202,1294,1305,1317,1343,1344,1353,1361,1366,1383,
1512,1515,1518,1526,1527,1528,1562,1564,1577,1584,1593,1602,1607,1629,1642,
1654,1658,1669,1685,1691,1704,2097,2103,2128,2147,2166,2168,2179,2180,2211,
2238,2330,2332,2346,2407,2446,2547,2567,2568,2783,2799,2845,2850,2888,3186,
3193,3203,3208,3210,3214,3371,3479,3681,3690,3873,3878,4132,4168,4311,4366,
4432],[1,2,4,5,6,7,8,9,10,12,13,19,22,23,26,28,29,32,35,38,39,40,41,43,44,48,
50,65,73,75,76,77,108,118,121,124,125,126,130,132,136,139,140,141,142,145,146,
153,154,156,159,160,162,168,173,179,180,188,189,194,195,199,201,203,204,208,
214,216,281,366,369,375,376,377,379,386,387,390,393,405,408,414,416,429,439,
441,443,445,446,447,449,452,457,467,470,471,474,482,483,484,496,497,498,500,
505,507,522,551,557,561,574,595,609,613,631,651,658,661,848,849,857,860,861,
862,863,866,869,903,904,906,914,918,926,937,938,944,953,960,997,1033,1036,1078
,1080,1098,1181,1202,1297,1307,1319,1343,1344,1354,1362,1371,1384,1512,1515,
1519,1522,1523,1525,1526,1529,1566,1569,1578,1592,1595,1601,1607,1634,1642,
1656,1664,1673,1687,1690,1705,2099,2105,2131,2149,2166,2168,2179,2180,2212,
2239,2345,2347,2349,2407,2454,2547,2569,2570,2779,2803,2849,2852,2888,3186,
3193,3205,3211,3212,3215,3376,3478,3681,3693,3874,3879,4133,4168,4311,4367,
4433],[1,2,4,5,6,8,9,10,12,13,22,26,28,29,31,32,40,41,42,44,46,48,50,51,73,74,
101,118,120,121,130,132,136,139,140,141,143,145,153,155,156,159,160,162,168,
172,173,174,199,206,208,212,215,258,366,380,381,383,386,387,388,389,405,409,
414,429,439,440,442,445,446,447,448,474,479,500,501,507,508,521,522,528,536,
569,574,576,586,597,619,629,650,652,663,848,857,865,866,867,868,876,877,911,
915,930,942,945,946,955,961,987,1027,1029,1034,1069,1070,1156,1225,1294,1317,
1318,1343,1344,1361,1378,1383,1512,1535,1562,1564,1566,1571,1577,1584,1602,
1642,1644,1658,1665,1669,1672,1678,1699,1708,2097,2103,2136,2139,2166,2167,
2179,2226,2236,2311,2387,2394,2465,2547,2567,2568,2783,2811,2841,2845,2883,
3193,3214,3216,3221,3378,3479,3665,3713,3878,4141,4168,4309,4366,4434],[1,2,3,
4,5,6,7,8,9,10,15,16,19,22,23,26,28,29,30,32,33,40,41,42,43,44,45,46,47,48,52,
62,73,75,79,80,109,118,121,124,125,126,130,131,135,139,140,141,142,145,146,153
,154,156,158,159,163,164,165,166,168,169,170,175,179,185,199,205,208,209,210,
213,216,283,366,382,383,384,387,391,393,394,397,401,408,409,410,414,416,425,
439,441,443,445,446,447,449,453,474,475,502,504,511,514,526,527,529,537,570,
574,575,580,581,582,583,598,623,631,651,653,664,848,857,860,861,862,863,866,
869,878,880,914,916,933,935,937,940,947,949,953,962,988,1028,1030,1035,1071,
1073,1145,1227,1297,1320,1322,1343,1344,1362,1364,1380,1384,1512,1536,1563,
1566,1567,1569,1572,1578,1581,1585,1596,1645,1646,1662,1664,1670,1676,1679,
1700,1711,2099,2105,2142,2144,2166,2168,2169,2178,2227,2237,2313,2395,2396,
2463,2547,2569,2570,2779,2814,2842,2846,2884,3193,3215,3217,3218,3222,3380,
3478,3666,3714,3879,4142,4168,4310,4367,4435],[1,2,3,4,5,6,7,8,9,10,15,16,19,
22,23,26,28,29,32,33,41,42,44,45,46,47,48,52,62,73,75,79,80,109,118,121,124,
125,126,130,139,140,145,146,156,159,163,165,166,179,185,208,209,212,213,214,
216,283,366,382,383,384,387,393,394,397,401,409,410,416,439,440,441,442,443,
445,446,449,453,502,504,511,514,526,527,574,575,581,582,623,631,643,644,645,
646,647,648,649,651,847,848,866,869,878,880,947,949,1027,1028,1029,1030,1031,
1032,1033,1034,1035,1036,1037,1071,1073,1227,1297,1320,1322,1336,1337,1338,
1339,1340,1341,1342,1343,1344,1364,1382,1383,1384,1385,1386,1511,1536,1566,
1567,1569,1581,1645,1646,1797,1798,1799,1800,1801,1802,1803,1804,1805,1806,
1807,1808,1809,2084,2099,2142,2144,2165,2168,2169,2229,2230,2231,2232,2233,
2234,2235,2236,2237,2238,2239,2293,2395,2396,2551,2552,2554,2555,2556,2557,
2558,2559,2560,2561,2562,2563,2564,2565,2566,2569,2570,2590,2750,2842,2942,
2943,2944,2945,2946,2947,2948,3188,3189,3192,3193,3217,3218,3241,3242,3243,
3303,3304,3305,3481,3482,3483,3484,3485,3487,3488,3666,3728,3729,3730,3754,
3755,3875,3876,3879,3939,3940,4044,4142,4169,4170,4171,4312,4368,4436],[1,2,3,
4,5,6,7,8,10,12,13,16,18,19,20,21,22,23,25,28,29,31,32,33,34,35,36,38,39,40,41
,42,44,45,46,47,51,68,71,72,74,77,80,83,84,91,92,93,97,98,103,108,115,117,118,
119,120,121,122,123,124,125,126,127,128,129,143,146,149,152,155,162,163,166,
167,168,172,173,174,177,178,179,182,183,185,189,190,196,197,198,201,204,206,
208,264,267,270,280,310,317,318,350,355,359,360,364,365,366,367,369,370,371,
373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,393,394,
395,396,397,398,399,400,401,402,403,404,405,409,410,411,454,464,470,482,485,
488,489,508,519,536,554,560,562,563,567,568,576,581,593,595,597,602,629,630,
631,632,633,634,635,636,637,638,639,640,641,642,674,774,780,817,818,826,827,
848,849,852,853,854,855,856,871,875,876,877,878,880,882,883,884,891,892,893,
894,895,896,897,898,899,900,901,902,904,906,908,909,910,918,927,928,929,930,
942,943,946,947,949,950,958,961,1111,1165,1169,1277,1278,1294,1295,1297,1298,
1299,1301,1302,1303,1304,1305,1306,1307,1308,1310,1312,1313,1314,1315,1316,
1317,1318,1319,1320,1321,1322,1323,1325,1327,1328,1329,1330,1331,1332,1333,
1444,1531,1535,1536,1539,1540,1541,1542,1545,1546,1547,1548,1549,1550,1560,
1561,1570,1594,1605,1607,1608,1612,1617,1618,1626,1632,1639,1640,1641,1680,
1691,1694,1697,1698,1708,1709,1790,1791,1792,1793,1794,1795,1796,1836,2086,
2087,2089,2093,2094,2096,2097,2099,2128,2129,2131,2132,2133,2134,2135,2136,
2139,2140,2142,2143,2144,2145,2146,2147,2149,2157,2159,2160,2348,2376,2378,
2379,2380,2386,2428,2432,2433,2460,2461,2532,2533,2535,2536,2537,2539,2540,
2541,2542,2543,2544,2545,2546,2635,2754,2755,2758,2762,2787,2788,2792,2793,
2794,2832,2833,2838,2839,2841,2842,2850,2852,2941,3108,3152,3153,3154,3155,
3158,3159,3160,3161,3162,3163,3164,3165,3166,3167,3170,3171,3183,3184,3387,
3388,3394,3395,3474,3475,3476,3605,3608,3609,3610,3611,3612,3613,3615,3616,
3621,3622,3623,3624,3625,3626,3629,3630,3631,3632,3634,3635,3636,3638,3639,
3646,3647,3866,3867,3868,3953,3955,3956,3959,3960,3961,3962,3963,3967,3968,
3969,3970,3972,3973,3974,4110,4111,4112,4113,4114,4117,4175,4178,4179,4181,
4182,4184,4185,4270,4271,4272,4317,4373,4437],[1,2,3,4,5,6,7,8,9,10,12,13,15,
16,17,19,20,21,22,23,25,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,
50,51,52,55,56,62,65,68,70,71,73,74,75,76,77,79,80,81,87,91,92,93,101,103,106,
107,108,109,110,118,119,120,121,122,123,124,125,126,127,128,129,139,141,142,
143,145,146,151,153,154,155,156,158,159,160,161,162,163,164,165,166,168,169,
170,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,
190,191,192,193,194,195,197,199,200,201,202,203,204,205,206,208,209,210,219,
221,231,232,239,241,244,245,247,248,249,258,262,264,267,268,270,272,275,278,
279,280,281,282,283,284,287,288,331,332,338,339,347,350,351,366,367,368,369,
371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,
390,391,392,393,399,400,401,402,403,404,405,406,407,408,409,411,412,413,445,
447,449,454,455,457,458,464,467,470,471,473,474,475,476,478,479,480,481,482,
483,484,485,486,487,488,489,490,491,493,496,497,498,499,500,502,506,507,508,
511,521,522,525,526,527,528,529,532,533,534,535,536,537,544,546,547,548,549,
550,551,552,553,554,555,556,557,558,559,560,561,562,564,569,570,571,574,575,
576,578,580,581,582,583,585,586,589,590,591,592,593,595,596,597,598,599,600,
602,603,604,605,607,609,610,612,613,615,617,619,620,621,623,629,630,631,632,
633,634,635,636,637,638,639,640,641,642,697,701,702,703,743,757,761,765,774,
799,803,804,806,810,812,848,849,852,857,858,859,860,861,862,863,864,866,867,
868,871,872,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,
892,893,894,895,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,
917,918,919,920,921,922,923,924,925,926,927,929,930,931,932,933,934,935,936,
937,938,939,940,941,942,943,944,945,946,947,948,951,952,953,954,955,956,957,
958,959,960,961,962,963,964,965,1041,1044,1051,1052,1063,1069,1071,1078,1083,
1087,1089,1095,1096,1097,1098,1105,1111,1117,1119,1120,1125,1126,1127,1133,
1134,1135,1137,1139,1142,1143,1145,1148,1152,1153,1156,1160,1161,1162,1163,
1164,1165,1166,1167,1168,1169,1170,1172,1175,1181,1182,1188,1194,1195,1196,
1198,1200,1202,1203,1209,1211,1215,1216,1221,1224,1225,1227,1228,1230,1235,
1238,1241,1243,1245,1248,1249,1250,1253,1254,1256,1257,1259,1260,1261,1293,
1294,1295,1296,1297,1298,1299,1300,1303,1304,1305,1306,1307,1308,1309,1310,
1311,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1324,1325,1326,1327,
1328,1329,1330,1331,1332,1333,1460,1512,1514,1515,1519,1520,1521,1522,1523,
1524,1525,1526,1527,1528,1531,1535,1536,1537,1538,1539,1540,1541,1542,1551,
1552,1553,1554,1555,1562,1563,1566,1567,1568,1570,1572,1573,1574,1575,1577,
1578,1583,1584,1585,1588,1589,1592,1594,1596,1597,1598,1599,1601,1602,1606,
1607,1608,1609,1613,1614,1615,1616,1617,1618,1619,1620,1621,1622,1623,1624,
1625,1626,1627,1628,1629,1630,1631,1632,1633,1634,1635,1636,1637,1638,1639,
1642,1646,1648,1649,1650,1651,1652,1653,1654,1655,1656,1657,1658,1659,1660,
1661,1662,1663,1664,1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,
1676,1677,1678,1679,1680,1681,1682,1683,1684,1685,1686,1687,1688,1690,1691,
1692,1693,1694,1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,
1711,1790,1791,1792,1793,1794,1795,1796,1831,1857,1858,1868,1869,1875,1889,
1896,1898,1914,1918,1919,1930,1934,1941,1951,1955,1974,1977,1984,1985,1999,
2002,2009,2011,2016,2022,2025,2028,2034,2035,2047,2085,2086,2087,2088,2090,
2091,2092,2093,2095,2096,2097,2098,2099,2101,2102,2103,2104,2105,2106,2107,
2108,2110,2111,2112,2113,2114,2115,2116,2117,2118,2119,2120,2121,2122,2123,
2124,2125,2126,2127,2128,2129,2130,2131,2134,2135,2136,2137,2138,2139,2140,
2141,2142,2143,2147,2148,2149,2150,2151,2152,2153,2154,2155,2156,2157,2158,
2159,2160,2161,2162,2298,2304,2305,2311,2313,2322,2323,2324,2329,2330,2334,
2338,2339,2340,2341,2345,2346,2348,2349,2352,2353,2354,2355,2356,2357,2358,
2360,2361,2362,2363,2364,2365,2369,2370,2371,2372,2373,2374,2375,2376,2377,
2378,2379,2380,2381,2382,2383,2384,2387,2389,2395,2407,2412,2417,2418,2421,
2425,2427,2428,2429,2430,2431,2432,2433,2434,2435,2436,2437,2438,2439,2442,
2443,2444,2445,2446,2447,2448,2449,2450,2451,2452,2453,2454,2462,2463,2464,
2465,2532,2533,2534,2535,2537,2538,2539,2540,2541,2542,2543,2544,2545,2546,
2659,2663,2722,2758,2759,2760,2761,2763,2765,2766,2767,2768,2769,2770,2771,
2772,2773,2774,2776,2777,2778,2779,2780,2781,2782,2783,2786,2787,2788,2789,
2790,2791,2794,2795,2796,2797,2798,2799,2801,2802,2803,2804,2805,2806,2807,
2808,2809,2810,2811,2813,2814,2815,2816,2817,2818,2819,2820,2821,2822,2823,
2824,2825,2826,2828,2829,2830,2831,2832,2833,2834,2835,2836,2837,2840,2841,
2843,2845,2846,2847,2849,2850,2851,2852,2853,2854,2855,2856,2857,2858,2859,
2860,2861,2862,2863,2864,2865,2866,2867,2868,2870,2871,2941,2973,2996,2998,
3024,3025,3026,3027,3032,3047,3050,3073,3074,3089,3090,3095,3096,3097,3098,
3099,3100,3101,3102,3103,3104,3105,3106,3108,3152,3155,3156,3157,3158,3160,
3163,3165,3166,3168,3169,3170,3171,3172,3173,3174,3175,3176,3177,3178,3179,
3180,3181,3182,3183,3184,3306,3307,3310,3311,3312,3313,3316,3317,3318,3321,
3322,3323,3324,3325,3326,3327,3328,3330,3331,3332,3333,3334,3335,3336,3338,
3339,3340,3341,3342,3343,3344,3345,3347,3348,3350,3351,3352,3353,3354,3355,
3356,3357,3358,3359,3360,3361,3362,3363,3364,3365,3366,3367,3368,3369,3371,
3372,3373,3376,3377,3378,3379,3380,3382,3384,3385,3386,3387,3397,3398,3399,
3474,3475,3476,3515,3556,3581,3605,3606,3607,3610,3613,3614,3617,3618,3619,
3620,3627,3628,3629,3631,3632,3633,3634,3637,3638,3640,3641,3642,3643,3645,
3646,3648,3649,3650,3651,3652,3763,3764,3771,3772,3782,3783,3785,3786,3787,
3790,3791,3793,3794,3795,3796,3797,3798,3800,3801,3802,3803,3805,3806,3807,
3865,3866,3868,3942,3943,3944,3945,3946,3947,3948,3949,3950,3951,3952,3954,
3957,3958,3964,3965,3966,3970,3971,3972,3976,3977,4073,4074,4110,4111,4115,
4116,4117,4118,4172,4173,4174,4176,4177,4180,4183,4186,4187,4188,4189,4190,
4191,4192,4194,4269,4270,4273,4314,4315,4370,4371,4372,4438],[1,2,3,4,5,6,8,9,
10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,29,31,33,35,40,41,42,44,45,46,
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,
74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,94,95,96,97,98,99,100,
101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,121,139,140,141,
143,144,145,147,148,152,153,155,156,157,160,162,165,166,172,182,183,184,185,
186,187,188,189,206,207,214,218,220,221,222,223,224,225,226,228,229,230,231,
232,233,234,235,236,237,238,242,243,244,245,247,250,251,254,255,256,257,258,
259,261,262,263,264,265,266,268,269,270,271,272,273,274,275,278,279,281,283,
284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,
305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,
324,325,326,327,328,329,330,331,333,334,335,336,337,338,340,341,342,343,344,
345,386,388,409,439,440,442,446,447,448,450,451,452,453,457,459,460,500,501,
502,503,504,505,507,508,509,510,511,512,513,519,520,521,522,524,526,549,551,
552,553,554,555,565,566,567,568,569,573,576,577,611,618,619,622,643,666,667,
668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,
687,688,691,692,693,694,695,696,700,701,707,708,709,710,711,712,713,714,715,
716,717,719,720,721,723,724,725,726,728,729,733,735,736,737,742,744,745,746,
747,748,749,750,751,752,753,754,756,757,758,759,760,761,762,767,768,784,788,
789,791,792,793,794,796,797,798,829,830,831,832,833,834,865,866,867,873,946,
1033,1039,1040,1041,1042,1043,1045,1047,1049,1051,1053,1054,1055,1058,1059,
1060,1064,1065,1067,1070,1073,1074,1075,1076,1079,1080,1084,1085,1086,1090,
1091,1092,1093,1094,1098,1099,1100,1101,1102,1104,1134,1139,1141,1217,1225,
1226,1231,1232,1233,1271,1282,1335,1383,1387,1388,1390,1391,1392,1393,1395,
1396,1397,1398,1399,1400,1401,1402,1403,1406,1408,1409,1410,1411,1415,1416,
1417,1418,1419,1420,1422,1423,1424,1425,1426,1427,1428,1429,1430,1432,1434,
1480,1482,1483,1484,1485,1487,1489,1564,1571,1577,1579,1580,1588,1592,1644,
1646,1647,1689,1797,1799,1801,1817,1818,1819,1824,1832,1833,1834,1835,1836,
1837,1838,1839,1840,1841,1842,1844,1845,1846,1847,1850,1873,1878,1879,1880,
1881,1887,1891,1892,1893,1894,1895,1897,1899,1901,1902,1904,1906,1907,1908,
1909,1910,1922,1925,1948,1949,1955,1956,1957,1958,2019,2020,2021,2164,2240,
2241,2242,2246,2248,2249,2250,2251,2252,2253,2254,2295,2300,2302,2350,2394,
2397,2421,2547,2548,2549,2550,2553,2591,2592,2594,2595,2596,2597,2598,2599,
2600,2606,2607,2612,2613,2616,2617,2618,2622,2623,2638,2639,2640,2642,2643,
2644,2645,2709,2715,2716,2872,2946,2951,2986,2987,2993,3001,3004,3005,3006,
3011,3012,3023,3082,3107,3186,3187,3191,3244,3245,3247,3248,3249,3250,3251,
3258,3260,3261,3268,3269,3272,3276,3277,3278,3279,3479,3480,3486,3521,3538,
3541,3546,3580,3655,3656,3658,3659,3660,3661,3732,3733,3747,3892,3893,3911,
3924,3978,4120,4121,4123,4153,4163,4195,4274,4318,4439],[1,2,3,4,5,6,8,9,10,11
,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,32,35,38,40,41,44,50,51
,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80
,81,82,87,89,90,91,92,94,95,100,101,103,104,105,106,107,108,109,110,111,112,
118,120,121,130,131,132,135,136,139,141,144,145,148,152,153,155,156,157,160,
162,168,169,170,171,173,174,175,176,179,180,181,188,189,190,195,199,201,202,
204,206,207,215,216,218,221,222,223,224,225,226,228,229,230,231,232,233,234,
236,237,242,243,244,245,247,250,251,257,258,261,262,263,264,265,266,268,269,
270,271,272,273,274,275,278,279,281,283,284,285,286,287,290,291,292,293,294,
295,296,297,298,299,331,333,334,335,336,337,338,340,366,369,378,379,381,383,
386,387,405,420,421,422,423,424,425,426,427,428,429,430,431,432,433,435,436,
437,438,445,447,449,450,457,460,471,472,474,476,478,482,483,484,485,490,492,
494,497,500,502,507,510,521,522,524,528,529,531,532,533,538,539,540,543,544,
545,546,551,556,557,559,560,569,576,577,584,587,588,593,600,606,607,612,613,
615,616,618,619,629,650,651,652,656,658,660,661,663,667,668,669,670,688,694,
695,696,700,701,707,708,709,710,711,735,737,742,750,751,752,753,754,756,757,
758,759,760,761,762,767,784,788,789,791,792,793,794,857,866,867,868,873,881,
884,906,911,918,919,924,930,942,945,955,958,968,969,970,971,972,973,974,975,
977,978,979,980,981,982,983,984,999,1000,1002,1003,1006,1007,1008,1009,1010,
1011,1012,1016,1017,1018,1019,1020,1021,1022,1023,1024,1038,1039,1041,1042,
1043,1045,1047,1051,1058,1059,1064,1065,1067,1069,1071,1072,1078,1083,1089,
1090,1098,1099,1103,1104,1115,1117,1119,1122,1126,1127,1128,1129,1130,1139,
1141,1146,1152,1154,1168,1179,1180,1183,1186,1188,1196,1197,1202,1206,1207,
1208,1209,1213,1217,1225,1231,1232,1236,1242,1247,1252,1258,1259,1261,1294,
1305,1317,1343,1356,1358,1359,1360,1366,1370,1371,1373,1374,1376,1378,1379,
1381,1387,1415,1417,1418,1419,1422,1423,1424,1425,1426,1432,1512,1515,1526,
1527,1528,1533,1552,1562,1577,1579,1584,1585,1592,1602,1603,1629,1642,1654,
1658,1669,1685,1691,1704,1715,1716,1717,1718,1719,1720,1731,1732,1734,1735,
1737,1739,1740,1741,1742,1743,1746,1747,1749,1750,1763,1764,1765,1775,1776,
1777,1778,1779,1780,1810,1811,1812,1818,1824,1829,1840,1841,1844,1851,1855,
1856,1857,1865,1867,1871,1874,1877,1888,1889,1891,1897,1902,1908,1910,1925,
1928,1944,1948,1955,1956,1961,1962,1970,1971,1975,1978,1982,1984,1993,2008,
2103,2128,2178,2179,2185,2186,2189,2191,2192,2195,2197,2199,2201,2202,2206,
2207,2215,2216,2218,2222,2223,2224,2242,2294,2300,2301,2302,2307,2314,2330,
2335,2346,2350,2387,2398,2400,2403,2407,2408,2413,2417,2418,2425,2446,2471,
2477,2479,2490,2491,2493,2494,2496,2497,2501,2502,2567,2569,2573,2580,2594,
2606,2607,2610,2614,2622,2623,2638,2640,2642,2643,2667,2688,2689,2690,2691,
2770,2783,2799,2845,2873,2874,2876,2877,2878,2899,2900,2901,2902,2904,2905,
2908,2911,2912,2915,2921,2922,2924,2928,2938,2965,2966,2971,2972,2984,2990,
2992,3004,3005,3007,3012,3019,3021,3046,3053,3065,3070,3079,3089,3092,3129,
3208,3211,3221,3226,3231,3232,3245,3250,3252,3308,3371,3401,3402,3403,3414,
3415,3425,3427,3429,3430,3433,3434,3435,3450,3453,3457,3458,3459,3460,3490,
3502,3503,3521,3522,3523,3531,3536,3537,3555,3674,3677,3680,3684,3685,3701,
3703,3715,3757,3759,3761,3777,3811,3820,3821,3823,3824,3828,3860,3883,3891,
3893,3923,3995,3996,3997,4000,4008,4013,4015,4023,4051,4060,4088,4135,4196,
4197,4205,4206,4215,4239,4288,4323,4327,4378,4440],[1,2,3,4,5,6,8,9,10,11,12,
13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,32,35,40,41,44,50,51,52,53,
54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,82,
87,89,90,91,92,94,95,100,101,103,104,105,106,107,108,109,110,111,112,118,120,
121,130,131,132,135,136,139,141,144,145,148,152,153,155,156,157,158,159,160,
161,162,168,169,170,171,173,174,175,176,179,180,181,188,189,190,199,201,205,
206,207,208,215,216,218,221,222,223,224,225,226,228,229,230,231,232,233,234,
236,237,242,243,244,245,247,250,251,257,258,261,262,263,264,265,266,268,269,
270,271,272,273,274,275,278,279,281,283,284,285,286,287,290,291,292,293,294,
295,296,297,298,299,331,333,334,335,336,337,338,340,366,369,381,383,386,387,
405,414,415,416,417,420,421,422,424,425,426,427,428,429,430,431,432,445,447,
449,450,457,460,474,475,476,477,479,482,483,484,491,494,500,502,507,510,521,
522,523,524,525,528,529,530,531,532,533,534,535,536,537,538,539,541,543,544,
545,546,551,557,559,560,569,570,571,572,574,576,577,578,583,584,585,586,589,
597,598,599,600,605,613,616,618,619,620,621,629,650,651,652,663,667,668,669,
670,688,694,695,696,700,701,707,708,709,710,711,735,737,742,750,751,752,753,
754,756,757,758,759,760,761,762,767,784,788,789,791,792,793,794,857,866,867,
868,873,876,880,881,895,911,915,918,919,930,942,945,955,961,969,970,971,972,
973,974,975,977,978,979,980,981,986,987,988,989,990,991,992,993,994,995,996,
997,1038,1039,1041,1042,1043,1045,1046,1047,1051,1058,1059,1064,1065,1067,1068
,1069,1071,1072,1078,1083,1089,1090,1098,1099,1104,1115,1117,1123,1126,1127,
1128,1129,1130,1131,1132,1133,1137,1139,1141,1142,1145,1146,1147,1148,1149,
1150,1151,1156,1170,1172,1173,1174,1175,1176,1178,1183,1198,1199,1201,1202,
1206,1207,1208,1212,1217,1219,1220,1221,1223,1225,1231,1232,1237,1238,1239,
1240,1248,1249,1250,1253,1294,1317,1343,1351,1353,1356,1358,1359,1360,1361,
1363,1378,1379,1387,1415,1417,1418,1419,1422,1423,1424,1425,1426,1432,1512,
1515,1552,1562,1563,1566,1577,1579,1584,1585,1592,1602,1603,1626,1627,1628,
1642,1658,1665,1669,1672,1678,1699,1708,1716,1717,1718,1719,1720,1721,1722,
1723,1724,1727,1752,1755,1756,1757,1758,1759,1760,1761,1810,1818,1824,1840,
1841,1844,1851,1855,1856,1857,1865,1871,1872,1874,1877,1888,1889,1891,1897,
1902,1908,1910,1920,1925,1930,1932,1943,1944,1948,1950,1955,1956,1970,1971,
1995,1996,1997,1998,1999,2000,2001,2005,2103,2136,2166,2168,2178,2179,2185,
2186,2189,2191,2192,2195,2219,2220,2225,2226,2242,2294,2300,2301,2302,2307,
2309,2311,2313,2314,2315,2334,2350,2354,2387,2389,2393,2398,2400,2407,2408,
2413,2417,2418,2427,2465,2471,2474,2475,2485,2486,2487,2489,2567,2569,2573,
2588,2594,2606,2607,2610,2614,2622,2623,2638,2640,2642,2643,2664,2688,2689,
2690,2691,2770,2783,2811,2845,2873,2874,2876,2878,2880,2881,2883,2884,2885,
2887,2888,2889,2895,2896,2899,2900,2904,2905,2917,2929,2930,2939,2965,2966,
2984,2990,2992,2995,3004,3005,3007,3008,3012,3014,3021,3030,3031,3032,3033,
3044,3053,3070,3071,3076,3095,3127,3199,3203,3214,3221,3231,3245,3250,3252,
3308,3347,3378,3402,3403,3404,3405,3406,3407,3410,3417,3419,3421,3422,3425,
3430,3437,3438,3444,3445,3454,3455,3490,3502,3503,3521,3522,3523,3527,3536,
3537,3558,3674,3677,3680,3684,3685,3705,3707,3710,3713,3716,3717,3757,3759,
3773,3777,3811,3813,3815,3826,3833,3834,3835,3837,3859,3886,3891,3893,3923,
3983,3984,3995,3997,4001,4004,4025,4051,4068,4086,4135,4196,4197,4202,4203,
4211,4212,4230,4239,4292,4298,4321,4326,4378,4441],[1,2,3,4,5,6,8,9,11,12,13,
14,15,16,17,18,21,24,25,26,28,30,31,32,33,37,40,41,42,44,45,46,49,50,52,54,55,
57,58,59,60,61,64,66,67,68,69,70,72,78,82,83,84,85,86,89,90,91,94,95,102,105,
111,113,114,115,118,120,121,130,131,132,135,136,139,141,144,145,148,152,153,
156,157,160,162,165,166,169,170,171,173,174,175,176,181,182,184,202,207,215,
216,218,220,222,223,224,225,226,229,232,233,234,235,238,254,255,256,259,274,
296,297,298,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,
333,341,342,343,372,380,381,382,383,387,388,389,391,392,405,409,420,421,422,
424,425,426,427,428,429,430,431,432,435,437,451,459,469,490,492,495,500,502,
503,507,509,510,511,513,519,520,522,524,526,528,529,531,532,533,539,542,543,
544,545,546,552,573,577,587,594,601,606,614,622,629,650,651,652,653,655,659,
663,664,666,667,669,670,687,691,692,693,712,713,714,715,736,744,745,746,747,
748,749,753,768,796,797,798,857,866,867,868,873,885,911,935,939,942,943,945,
967,969,970,971,972,973,974,975,976,977,978,979,980,981,1001,1004,1005,1008,
1009,1013,1015,1018,1023,1024,1025,1038,1039,1042,1043,1045,1047,1051,1054,
1055,1058,1059,1064,1065,1067,1093,1102,1121,1127,1128,1129,1130,1141,1157,
1158,1159,1180,1190,1204,1205,1226,1233,1244,1255,1265,1300,1317,1318,1343,
1356,1358,1359,1360,1367,1378,1379,1380,1387,1416,1420,1427,1428,1429,1430,
1532,1580,1584,1585,1588,1589,1602,1603,1604,1642,1646,1647,1668,1669,1714,
1716,1717,1718,1719,1720,1733,1736,1738,1744,1745,1748,1751,1766,1772,1773,
1774,1780,1810,1813,1815,1817,1819,1825,1838,1839,1841,1844,1845,1846,1847,
1850,1871,1892,1902,1906,1909,1922,1926,1949,1956,1965,1980,1989,2010,2103,
2138,2178,2179,2185,2186,2189,2190,2191,2192,2194,2195,2200,2205,2241,2294,
2300,2301,2302,2307,2344,2350,2413,2417,2423,2471,2476,2478,2492,2495,2498,
2503,2567,2569,2573,2586,2594,2606,2607,2617,2618,2639,2644,2666,2715,2716,
2843,2845,2873,2874,2876,2878,2899,2900,2901,2904,2905,2907,2925,2976,2977,
2978,2982,2984,2987,3006,3007,3011,3018,3021,3082,3093,3128,3209,3221,3222,
3231,3244,3249,3258,3272,3308,3400,3402,3403,3416,3425,3426,3428,3430,3432,
3435,3443,3461,3490,3502,3503,3521,3530,3533,3534,3575,3674,3677,3680,3684,
3685,3759,3776,3780,3811,3822,3825,3827,3858,3890,3892,3902,3915,3924,3995,
3997,3999,4014,4017,4019,4051,4071,4087,4135,4196,4197,4227,4245,4322,4334,
4378,4442],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,28
,29,31,32,33,34,35,38,40,41,42,44,45,46,50,51,52,53,54,55,56,57,62,63,64,65,67
,68,69,70,71,73,74,75,76,77,79,80,81,82,87,88,89,90,91,92,93,100,101,103,104,
105,106,107,108,109,110,118,120,121,130,132,136,139,140,141,143,144,145,147,
153,155,156,159,160,162,163,165,166,168,172,173,174,177,178,179,180,182,183,
184,185,186,187,188,189,190,195,197,199,200,201,204,206,208,209,215,218,219,
221,227,228,229,230,231,232,233,234,236,237,239,240,241,242,243,244,245,246,
247,248,249,257,258,260,261,262,263,264,265,266,267,268,269,270,271,272,273,
274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,331,332,
336,337,338,339,340,346,347,350,351,366,367,369,378,379,380,381,382,383,384,
385,386,387,388,389,405,409,414,415,416,420,423,428,429,433,436,438,445,446,
447,448,449,450,452,453,454,455,456,457,460,464,468,471,474,479,480,481,482,
483,484,485,486,487,488,489,497,498,500,501,502,504,505,507,508,510,511,512,
521,522,526,527,528,536,547,548,549,550,551,552,553,554,555,556,557,559,560,
561,562,569,574,575,576,581,582,586,590,591,592,593,595,597,602,603,604,607,
609,613,617,619,623,629,650,656,660,665,667,668,688,689,690,694,695,696,697,
698,699,700,701,702,703,704,734,737,740,741,742,743,755,756,757,758,759,760,
761,762,763,764,765,766,767,769,772,773,774,784,785,786,787,788,799,800,801,
802,803,804,805,806,809,810,811,812,848,849,852,857,865,866,867,868,876,877,
878,879,880,881,882,883,884,891,892,893,894,895,906,911,915,918,919,924,927,
929,930,939,942,943,945,946,947,954,955,958,961,971,984,986,987,994,997,1007,
1011,1017,1021,1022,1039,1040,1041,1047,1048,1049,1050,1051,1053,1058,1060,
1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,
1085,1086,1087,1088,1089,1090,1098,1111,1115,1116,1117,1118,1125,1126,1134,
1135,1139,1140,1144,1156,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,
1181,1202,1203,1215,1216,1225,1227,1243,1245,1254,1256,1294,1295,1305,1317,
1318,1343,1344,1351,1356,1361,1366,1413,1414,1417,1431,1432,1433,1456,1457,
1458,1459,1460,1461,1467,1468,1492,1512,1513,1514,1515,1518,1526,1527,1528,
1535,1536,1537,1538,1539,1540,1541,1542,1552,1554,1562,1564,1566,1567,1568,
1571,1577,1584,1586,1588,1589,1592,1593,1602,1606,1607,1608,1609,1613,1614,
1617,1618,1626,1627,1628,1629,1630,1631,1632,1633,1639,1642,1644,1646,1648,
1653,1654,1655,1658,1659,1665,1666,1668,1669,1672,1674,1678,1680,1682,1684,
1685,1691,1694,1699,1702,1703,1704,1708,1709,1721,1726,1752,1753,1778,1781,
1782,1818,1824,1826,1830,1840,1841,1842,1843,1851,1852,1853,1854,1855,1856,
1857,1858,1859,1860,1861,1862,1863,1864,1873,1874,1875,1876,1877,1878,1879,
1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1902,1904,1910,1911,1912,
1913,1914,1915,1916,1917,1934,1935,1936,1937,1938,1939,1947,1948,1952,1953,
1954,1955,1970,1972,2009,2011,2086,2087,2097,2103,2128,2129,2136,2139,2140,
2147,2166,2167,2168,2169,2179,2180,2185,2197,2202,2208,2274,2294,2295,2304,
2305,2311,2312,2322,2323,2324,2329,2330,2331,2332,2333,2345,2346,2352,2353,
2354,2355,2358,2360,2361,2362,2363,2364,2365,2369,2370,2373,2374,2376,2377,
2378,2379,2380,2381,2382,2383,2384,2387,2394,2395,2407,2409,2412,2418,2420,
2421,2428,2429,2430,2432,2433,2435,2436,2438,2439,2444,2445,2446,2447,2452,
2453,2462,2465,2527,2567,2568,2609,2610,2611,2612,2623,2625,2640,2641,2647,
2648,2650,2651,2652,2653,2654,2655,2656,2657,2658,2659,2660,2661,2670,2671,
2687,2688,2692,2693,2758,2770,2782,2783,2787,2788,2799,2811,2832,2833,2841,
2843,2845,2850,2873,2875,2877,2879,2880,2882,2883,2886,2887,2888,2890,2891,
2895,2902,2903,2922,2929,2965,2966,2967,2970,2984,2986,2992,2993,2994,3000,
3001,3024,3025,3026,3027,3047,3048,3050,3096,3097,3098,3099,3100,3101,3102,
3103,3105,3106,3108,3193,3199,3200,3208,3210,3214,3216,3290,3291,3311,3312,
3317,3328,3336,3347,3348,3371,3377,3378,3382,3387,3404,3409,3411,3412,3417,
3420,3423,3424,3434,3436,3439,3442,3447,3449,3470,3505,3506,3510,3511,3512,
3513,3522,3525,3537,3538,3539,3581,3665,3666,3674,3675,3681,3687,3692,3764,
3782,3783,3786,3787,3793,3798,3850,3851,3878,3907,3909,3981,3982,3983,3985,
3989,3990,3991,3994,4004,4007,4008,4012,4018,4073,4125,4132,4141,4198,4199,
4200,4201,4216,4223,4224,4226,4229,4278,4293,4339,4380,4382,4385,4443],[1,2,3,
4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,28,29,31,32,33,34,
35,36,38,39,40,41,42,44,45,46,47,50,51,52,53,54,55,56,57,62,63,64,65,67,68,69,
70,71,73,74,75,76,77,79,80,81,82,87,88,89,90,91,92,93,100,101,103,104,105,106,
107,108,109,110,118,121,124,125,126,130,132,136,139,140,143,145,146,147,150,
153,155,156,159,160,162,163,165,166,168,172,173,174,177,178,179,180,182,183,
184,185,186,187,188,189,190,195,197,198,199,200,201,204,206,208,209,216,218,
219,221,227,228,229,230,231,232,233,234,236,237,239,240,241,242,243,244,245,
246,247,248,249,257,258,260,261,262,263,264,265,266,267,268,269,270,271,272,
273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,331,
332,336,337,338,339,340,346,347,350,351,366,367,369,370,375,376,377,379,380,
381,382,383,384,386,387,388,393,394,397,398,401,402,405,409,410,414,415,416,
420,423,428,429,433,436,438,445,446,448,449,452,453,454,455,456,461,462,463,
464,468,470,471,474,479,480,481,482,483,484,485,486,487,488,489,497,498,500,
501,502,504,505,508,511,512,514,515,521,522,526,527,528,536,547,548,549,550,
551,552,553,554,555,556,557,559,560,561,562,569,574,575,576,581,582,586,590,
591,592,593,595,597,602,603,604,607,609,613,617,619,623,631,651,658,661,665,
667,668,688,689,690,694,695,696,697,698,699,700,701,702,703,704,734,737,740,
741,742,743,755,756,757,758,759,760,761,762,763,764,765,766,767,769,772,773,
774,784,785,786,787,788,799,800,801,802,803,804,805,806,809,810,811,812,848,
849,852,865,866,869,870,871,876,877,878,879,880,881,882,883,884,891,892,894,
895,897,898,901,904,906,910,911,915,918,919,924,927,928,929,930,939,942,943,
945,946,947,949,954,955,958,961,971,984,986,987,994,997,1007,1011,1017,1021,
1022,1039,1040,1041,1047,1048,1049,1050,1051,1053,1060,1062,1069,1070,1071,
1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1085,1086,1087,
1088,1089,1111,1112,1113,1115,1116,1117,1118,1125,1126,1134,1135,1139,1140,
1144,1156,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1181,1202,1203,
1215,1216,1225,1227,1243,1245,1254,1256,1297,1302,1303,1307,1319,1320,1322,
1343,1344,1352,1357,1364,1371,1413,1414,1417,1431,1432,1433,1456,1457,1458,
1459,1460,1461,1467,1468,1492,1513,1514,1517,1518,1526,1529,1530,1531,1535,
1536,1537,1538,1539,1540,1541,1542,1552,1554,1564,1566,1567,1569,1570,1571,
1581,1582,1586,1588,1590,1591,1592,1593,1594,1595,1606,1607,1608,1609,1613,
1614,1617,1618,1626,1627,1628,1629,1630,1631,1632,1633,1639,1640,1644,1645,
1646,1648,1653,1654,1655,1658,1659,1665,1666,1668,1669,1672,1674,1678,1680,
1682,1684,1685,1691,1694,1699,1702,1703,1704,1708,1709,1721,1726,1752,1753,
1778,1781,1782,1826,1827,1828,1830,1840,1841,1842,1843,1851,1852,1853,1854,
1855,1856,1857,1858,1859,1860,1861,1862,1863,1864,1873,1874,1875,1876,1877,
1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1903,1904,1910,
1911,1912,1913,1914,1915,1916,1917,1934,1935,1936,1937,1938,1939,1947,1948,
1952,1953,1954,1955,1970,1972,2009,2011,2093,2094,2099,2109,2131,2132,2134,
2142,2143,2144,2145,2149,2166,2167,2168,2169,2179,2180,2187,2196,2203,2213,
2274,2295,2296,2304,2305,2312,2322,2323,2325,2326,2327,2328,2329,2331,2332,
2333,2345,2347,2348,2352,2353,2354,2355,2358,2360,2361,2362,2363,2364,2365,
2369,2370,2373,2374,2376,2377,2378,2379,2380,2381,2382,2383,2384,2394,2395,
2396,2409,2410,2412,2420,2421,2422,2428,2429,2430,2432,2433,2435,2436,2438,
2439,2444,2445,2446,2447,2452,2453,2462,2465,2527,2569,2570,2609,2610,2611,
2612,2624,2625,2640,2641,2647,2648,2650,2651,2652,2653,2654,2655,2656,2657,
2658,2659,2660,2661,2670,2671,2687,2688,2692,2693,2762,2775,2784,2785,2793,
2794,2800,2812,2838,2839,2842,2844,2848,2852,2873,2875,2877,2879,2880,2882,
2883,2886,2887,2888,2890,2891,2897,2902,2903,2923,2932,2967,2968,2969,2970,
2985,2986,2993,2994,3000,3001,3002,3003,3024,3025,3026,3027,3048,3049,3050,
3096,3097,3098,3099,3100,3101,3102,3103,3105,3106,3108,3193,3201,3204,3211,
3212,3217,3218,3290,3291,3314,3315,3319,3329,3337,3346,3349,3374,3375,3381,
3383,3388,3404,3409,3411,3412,3417,3420,3423,3424,3434,3436,3439,3442,3447,
3449,3471,3506,3507,3508,3509,3511,3512,3513,3524,3525,3538,3539,3540,3581,
3665,3666,3676,3679,3681,3694,3696,3765,3781,3784,3788,3789,3792,3799,3850,
3851,3879,3908,3909,3981,3982,3987,3988,3989,3990,3991,3994,4005,4006,4009,
4011,4018,4072,4127,4133,4142,4198,4199,4200,4201,4221,4222,4224,4226,4229,
4280,4295,4339,4381,4383,4386,4444],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,
19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,37,38,40,41,42,43,44,45,46,50,
51,52,53,54,55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,82,87,
88,89,90,91,92,93,100,101,103,104,105,106,107,108,109,110,118,120,121,130,132,
136,139,140,141,143,153,154,155,156,157,158,159,160,161,162,163,164,165,166,
168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,
187,188,189,190,191,192,193,194,195,197,199,200,201,202,203,204,205,206,207,
208,209,210,215,218,219,221,227,228,229,230,231,232,233,234,236,237,239,240,
241,242,243,244,245,246,247,248,249,257,258,260,261,262,263,264,265,266,267,
268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,
287,288,289,290,331,332,336,337,338,339,340,346,347,350,351,366,367,369,372,
378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,405,407,408,409,
414,415,416,420,423,428,429,433,436,438,445,446,447,448,449,452,453,454,457,
458,464,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,
491,492,493,494,496,497,498,499,500,501,502,504,505,506,507,508,521,522,523,
524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,543,
544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,
564,569,570,571,572,574,575,576,577,578,579,580,581,582,583,584,585,586,587,
588,589,590,591,592,593,595,596,597,598,599,600,602,603,604,605,606,607,608,
609,610,612,613,615,616,617,618,619,620,621,623,629,650,652,656,660,663,665,
667,668,688,689,690,694,695,696,697,698,699,700,701,702,703,704,734,737,740,
741,742,743,755,756,757,758,759,760,761,762,763,764,765,766,767,769,772,773,
774,784,785,786,787,788,799,800,801,802,803,804,805,806,809,810,811,812,848,
849,852,857,865,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,
891,892,893,894,895,903,905,906,911,913,914,915,916,918,919,921,922,923,924,
925,926,927,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,
945,946,947,951,952,953,954,955,958,959,960,961,962,971,984,986,987,994,997,
1007,1011,1017,1021,1022,1039,1040,1041,1044,1045,1046,1047,1048,1049,1050,
1051,1052,1053,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,
1078,1079,1080,1081,1082,1083,1085,1086,1089,1095,1096,1097,1098,1103,1104,
1105,1111,1115,1116,1117,1118,1119,1120,1122,1123,1124,1125,1126,1127,1128,
1129,1130,1131,1132,1133,1134,1135,1137,1138,1139,1140,1142,1143,1144,1145,
1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1160,1161,1162,1163,
1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,
1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1191,1192,1193,1194,
1195,1196,1197,1198,1199,1200,1201,1202,1203,1206,1207,1208,1209,1210,1211,
1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1227,
1228,1229,1230,1231,1232,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,
1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1256,1257,1258,1259,1260,
1261,1262,1263,1264,1293,1294,1295,1296,1300,1305,1317,1318,1343,1344,1351,
1353,1360,1361,1363,1366,1370,1373,1374,1376,1378,1379,1381,1413,1414,1417,
1431,1432,1433,1456,1457,1458,1459,1460,1461,1467,1468,1492,1512,1513,1515,
1516,1518,1535,1536,1537,1538,1539,1540,1541,1542,1552,1553,1554,1555,1562,
1563,1564,1565,1571,1584,1585,1586,1587,1593,1606,1607,1608,1609,1613,1614,
1615,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,
1631,1632,1633,1634,1636,1637,1638,1639,1642,1643,1644,1648,1649,1650,1651,
1652,1653,1654,1655,1656,1658,1659,1660,1661,1662,1663,1664,1665,1666,1668,
1669,1670,1671,1672,1673,1674,1675,1676,1678,1679,1680,1681,1682,1683,1684,
1685,1686,1687,1688,1690,1691,1692,1693,1694,1699,1700,1701,1702,1703,1704,
1705,1706,1707,1708,1709,1710,1711,1721,1726,1752,1753,1778,1781,1782,1840,
1841,1842,1843,1851,1852,1853,1854,1855,1856,1857,1858,1859,1860,1861,1862,
1863,1864,1866,1867,1868,1869,1870,1871,1872,1873,1874,1875,1876,1877,1878,
1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,1896,1898,
1910,1911,1912,1913,1914,1915,1916,1917,1918,1919,1920,1921,1923,1924,1925,
1927,1928,1929,1930,1931,1932,1933,1934,1935,1936,1937,1938,1939,1941,1942,
1943,1944,1945,1946,1947,1948,1950,1951,1952,1953,1954,1955,1960,1961,1962,
1963,1964,1968,1970,1972,1974,1975,1976,1977,1978,1979,1981,1982,1983,1984,
1985,1986,1987,1988,1993,1994,1995,1996,1997,1998,1999,2000,2001,2002,2003,
2004,2005,2006,2007,2008,2009,2011,2012,2013,2014,2015,2016,2017,2018,2022,
2023,2024,2025,2026,2027,2028,2029,2030,2031,2033,2034,2035,2036,2041,2042,
2043,2044,2046,2047,2049,2050,2051,2052,2085,2086,2087,2088,2090,2091,2092,
2095,2097,2098,2101,2110,2116,2117,2118,2119,2120,2121,2122,2123,2127,2128,
2129,2130,2136,2137,2138,2139,2140,2141,2147,2148,2166,2167,2168,2169,2179,
2180,2195,2208,2211,2215,2216,2218,2219,2220,2222,2223,2224,2225,2226,2274,
2304,2305,2307,2308,2309,2310,2311,2312,2313,2314,2315,2316,2317,2318,2319,
2320,2321,2330,2331,2332,2333,2334,2336,2352,2353,2354,2355,2356,2357,2358,
2360,2361,2362,2363,2364,2365,2369,2370,2371,2372,2373,2374,2376,2377,2378,
2379,2380,2381,2382,2383,2384,2387,2388,2389,2390,2391,2392,2393,2394,2398,
2399,2400,2401,2402,2403,2404,2405,2406,2407,2408,2409,2413,2414,2415,2416,
2417,2418,2419,2420,2424,2425,2426,2427,2428,2429,2430,2431,2432,2433,2434,
2435,2436,2437,2438,2439,2442,2443,2444,2445,2446,2447,2448,2449,2450,2451,
2452,2453,2454,2462,2463,2464,2465,2527,2567,2568,2609,2610,2611,2612,2640,
2641,2647,2648,2650,2651,2652,2653,2654,2655,2656,2657,2658,2659,2660,2661,
2662,2663,2664,2665,2667,2668,2669,2670,2671,2681,2682,2683,2687,2688,2692,
2693,2702,2710,2714,2718,2719,2721,2722,2724,2725,2727,2730,2758,2759,2760,
2761,2763,2765,2766,2767,2768,2769,2776,2777,2778,2787,2788,2789,2790,2791,
2795,2796,2797,2798,2806,2807,2808,2809,2810,2816,2817,2818,2819,2820,2821,
2822,2823,2824,2825,2826,2832,2833,2834,2835,2836,2837,2840,2841,2850,2851,
2853,2854,2855,2856,2873,2875,2877,2879,2880,2882,2883,2886,2887,2888,2890,
2891,2902,2903,2917,2933,2934,2935,2937,2938,2939,2988,2989,2990,2991,3007,
3008,3009,3010,3014,3015,3016,3017,3024,3025,3026,3027,3029,3030,3031,3032,
3033,3034,3035,3036,3037,3038,3039,3040,3041,3042,3043,3044,3045,3046,3047,
3048,3052,3053,3054,3055,3056,3057,3058,3059,3060,3061,3062,3063,3064,3065,
3066,3067,3068,3069,3070,3071,3072,3073,3074,3075,3076,3077,3078,3079,3080,
3081,3083,3084,3085,3086,3087,3088,3089,3090,3091,3092,3094,3095,3096,3097,
3098,3099,3100,3101,3102,3103,3104,3105,3106,3108,3193,3199,3200,3202,3203,
3208,3210,3214,3216,3220,3221,3283,3290,3291,3306,3307,3310,3321,3322,3323,
3324,3325,3326,3327,3331,3332,3333,3334,3335,3341,3342,3343,3344,3345,3351,
3352,3353,3354,3355,3356,3357,3358,3359,3360,3361,3362,3363,3364,3365,3366,
3367,3368,3369,3384,3385,3386,3387,3404,3409,3411,3412,3417,3420,3423,3424,
3434,3436,3439,3442,3447,3449,3472,3526,3527,3528,3529,3550,3551,3552,3553,
3554,3555,3556,3557,3558,3559,3560,3561,3564,3565,3566,3567,3568,3569,3571,
3572,3573,3574,3576,3577,3578,3579,3581,3665,3666,3681,3685,3686,3687,3690,
3691,3692,3700,3701,3702,3703,3705,3706,3707,3708,3709,3710,3712,3713,3763,
3771,3772,3790,3791,3794,3795,3796,3797,3801,3802,3803,3805,3806,3807,3850,
3851,3878,3927,3928,3981,3982,3989,3990,3991,3994,4001,4002,4018,4020,4021,
4023,4024,4025,4026,4027,4028,4029,4030,4031,4032,4074,4125,4126,4129,4132,
4141,4198,4199,4200,4201,4224,4226,4229,4231,4232,4281,4282,4283,4284,4285,
4286,4287,4293,4294,4339,4379,4387,4388,4389,4390,4391,4392,4445],[1,2,3,4,5,6
,7,8,9,11,15,16,18,21,34,37,41,42,43,44,45,46,48,49,52,60,66,67,72,120,121,122
,123,125,126,128,129,139,142,144,145,148,152,154,156,157,165,166,191,193,212,
213,214,220,222,235,385,392,399,400,402,407,409,411,412,413,439,440,442,502,
503,509,510,511,513,519,520,526,558,632,638,639,640,641,642,643,646,647,666,
858,859,860,864,866,873,913,934,941,957,963,964,965,1027,1028,1029,1033,1034,
1042,1043,1054,1055,1064,1321,1324,1325,1326,1327,1328,1329,1335,1337,1383,
1597,1598,1599,1646,1647,1671,1677,1796,1797,1799,1801,1805,1806,1838,1839,
1906,2104,2112,2126,2150,2151,2152,2161,2162,2164,2236,2302,2546,2549,2550,
2551,2553,2554,2560,2847,2857,2861,2862,2863,2872,2946,2987,3173,3191,3477,
3484,3486,3652,3658,3659,3660,3661,3869,4039,4040,4041,4043,4119,4123,4235,
4306,4340,4341,4342,4343,4446],[1,2,4,5,6,9,10,11,12,13,22,24,26,28,29,31,40,
42,48,49,50,51,57,73,74,78,82,96,100,101,102,118,130,139,140,141,144,153,168,
172,199,215,218,236,237,238,257,258,259,316,366,380,381,414,439,445,446,447,
448,450,451,474,500,501,503,565,650,671,687,688,716,717,848,857,876,877,1039,
1058,1069,1070,1084,1115,1335,1343,1344,1351,1388,1512,1535,1817,1818,1832,
1845,1851,2166,2167,2294,2547,2548,2549,2567,2591,2595,2965,2976,3193,3199,
3493,3665,3978,4168,4447],[1,2,3,4,5,6,9,10,12,13,14,15,16,17,19,20,22,23,26,
28,29,30,31,32,33,35,40,41,42,44,45,48,50,51,52,53,54,55,56,62,63,64,65,71,73,
74,75,76,77,79,80,81,101,108,109,110,118,130,131,132,135,136,139,140,141,153,
155,158,159,160,161,162,163,165,168,169,170,171,172,173,174,175,176,177,178,
179,180,184,185,186,187,189,190,195,199,201,205,206,212,213,214,219,221,227,
228,229,230,231,258,280,281,282,283,284,285,286,287,288,289,290,332,339,340,
366,369,380,381,382,383,405,414,416,422,423,425,426,427,429,433,439,445,446,
447,448,449,452,453,457,474,475,476,477,478,479,482,483,484,485,500,501,502,
504,505,507,521,522,523,525,527,528,529,530,531,532,533,534,535,536,537,538,
539,540,541,547,548,549,550,556,557,559,560,561,562,569,570,571,572,576,583,
584,585,586,593,597,598,599,600,607,613,615,619,621,644,645,646,665,668,734,
743,763,764,765,766,767,848,849,857,876,877,878,879,880,881,882,884,915,918,
924,929,930,939,945,968,981,982,983,984,987,988,989,997,1027,1028,1033,1041,
1046,1047,1048,1049,1050,1066,1068,1069,1070,1071,1072,1073,1074,1075,1076,
1077,1078,1080,1081,1082,1098,1103,1122,1123,1124,1125,1126,1130,1131,1132,
1133,1135,1138,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,
1167,1168,1169,1184,1202,1203,1209,1210,1211,1212,1213,1214,1222,1223,1224,
1225,1240,1241,1242,1243,1251,1252,1253,1254,1336,1343,1344,1414,1512,1515,
1535,1536,1537,1538,1539,1554,1562,1563,1584,1585,1607,1609,1617,1618,1628,
1629,1630,1631,1642,1672,1674,1715,1753,1754,1755,1798,1804,1806,1840,1843,
1870,1872,1875,1876,1877,1882,1883,1884,1885,1886,1887,1890,1921,1931,1933,
1945,1946,2002,2003,2004,2005,2006,2007,2008,2009,2166,2167,2168,2169,2178,
2179,2180,2305,2309,2311,2313,2314,2315,2330,2352,2353,2376,2382,2383,2384,
2387,2393,2403,2407,2413,2418,2473,2547,2552,2609,2611,2665,2876,2877,2879,
2883,2884,2885,2886,2888,2890,2989,3008,3015,3025,3044,3045,3046,3047,3186,
3193,3401,3418,3419,3420,3423,3528,3657,3665,3666,3681,3812,3982,3989,3991,
4168,4199,4309,4310,4311,4397,4399,4400,4448],[1,2,3,4,5,6,9,10,11,12,13,14,15
,16,17,19,20,21,22,23,26,28,29,30,31,32,33,35,40,41,42,44,45,48,50,51,52,53,54
,55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,87,92,101,106,107
,108,109,110,118,130,131,132,135,136,139,140,141,153,155,156,157,158,160,161,
162,165,166,168,169,170,171,172,173,174,175,176,179,180,181,182,183,184,185,
186,187,188,189,190,199,201,205,206,212,213,214,218,221,228,229,230,231,232,
233,234,258,261,262,263,268,269,270,271,272,275,278,279,281,283,284,285,286,
287,290,331,337,338,340,366,369,380,381,382,383,405,414,416,420,422,424,425,
426,427,428,429,430,431,439,445,446,447,448,449,452,453,457,474,475,476,477,
479,482,483,484,491,494,500,501,502,504,505,507,522,523,524,525,526,528,529,
530,531,532,533,534,535,536,537,538,539,541,543,544,545,546,549,551,552,553,
554,555,557,559,560,569,570,571,572,578,583,584,585,586,589,597,598,599,600,
605,613,616,620,621,643,646,647,667,668,737,742,757,758,759,760,761,762,767,
848,849,857,876,877,878,879,880,881,894,895,911,918,919,939,942,943,945,969,
971,977,978,979,980,981,987,988,989,993,994,997,1027,1028,1033,1039,1040,1045,
1047,1049,1051,1053,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1078,
1079,1080,1083,1085,1086,1089,1098,1104,1123,1126,1127,1128,1129,1130,1131,
1132,1133,1134,1137,1145,1146,1147,1148,1149,1150,1151,1156,1170,1172,1173,
1174,1175,1176,1178,1183,1198,1199,1201,1202,1206,1207,1208,1212,1219,1220,
1221,1223,1237,1238,1239,1240,1248,1249,1250,1253,1337,1343,1344,1417,1512,
1515,1535,1536,1537,1538,1540,1552,1562,1563,1584,1585,1606,1607,1626,1627,
1628,1630,1632,1633,1642,1668,1669,1719,1752,1755,1759,1761,1797,1805,1806,
1841,1842,1871,1872,1873,1874,1877,1878,1879,1880,1881,1887,1888,1889,1891,
1920,1930,1932,1943,1944,1995,1996,1997,1998,1999,2000,2001,2005,2166,2167,
2168,2169,2178,2179,2180,2304,2307,2311,2313,2314,2315,2334,2354,2355,2377,
2380,2381,2384,2389,2393,2407,2408,2413,2417,2474,2547,2551,2610,2612,2664,
2873,2875,2876,2878,2883,2884,2885,2887,2888,2889,2890,2891,2990,3007,3014,
3024,3031,3032,3033,3044,3186,3193,3402,3417,3419,3421,3422,3424,3527,3656,
3665,3666,3681,3813,3981,3990,3991,4168,4198,4309,4310,4311,4396,4400,4401,
4449],[1,2,4,5,6,9,10,11,12,13,14,19,20,22,23,25,26,28,29,32,35,40,41,44,48,50
,57,63,65,71,73,75,76,77,81,87,89,93,103,107,108,110,118,130,132,136,139,140,
141,153,155,156,157,158,159,160,161,162,168,171,173,174,179,180,188,189,190,
195,199,201,202,204,205,206,208,214,218,221,227,242,246,247,248,249,261,262,
263,265,267,281,286,288,289,331,339,350,351,366,369,405,414,416,417,420,423,
428,429,433,436,438,439,445,446,447,449,452,457,474,477,478,482,483,484,485,
492,493,494,497,498,500,505,507,522,523,524,525,528,540,541,551,556,557,559,
560,561,569,570,571,572,574,578,585,593,595,599,607,609,612,613,615,616,620,
621,643,644,648,695,698,703,742,764,773,801,802,810,848,849,852,857,911,915,
918,919,924,958,961,971,984,989,990,994,997,1007,1011,1017,1021,1022,1033,1039
,1040,1041,1045,1046,1048,1067,1068,1072,1077,1078,1079,1080,1083,1098,1103,
1104,1117,1118,1119,1124,1126,1137,1139,1142,1144,1151,1153,1155,1168,1181,
1183,1184,1186,1187,1188,1189,1193,1194,1195,1197,1200,1202,1206,1207,1208,
1210,1211,1213,1214,1219,1220,1221,1223,1241,1251,1257,1260,1262,1339,1343,
1344,1457,1512,1515,1552,1554,1606,1607,1608,1609,1642,1678,1680,1682,1684,
1685,1722,1725,1752,1754,1778,1783,1784,1797,1798,1803,1855,1858,1860,1863,
1866,1867,1873,1874,1876,1884,1890,1891,1914,1915,1918,1920,1928,1929,1938,
1939,1942,1944,1946,1948,1950,1954,1985,1987,2004,2015,2027,2028,2030,2041,
2043,2049,2166,2168,2179,2180,2304,2305,2307,2309,2403,2407,2408,2425,2427,
2428,2429,2430,2438,2439,2524,2547,2565,2656,2660,2662,2725,2873,2875,2877,
2879,2881,2885,2887,2888,2902,2903,2989,2990,3066,3074,3076,3078,3079,3106,
3186,3193,3405,3408,3417,3418,3434,3436,3440,3448,3568,3656,3657,3662,3681,
3848,3980,3981,3982,4018,4168,4226,4311,4396,4397,4398,4450],[1,2,3,4,5,6,9,10
,12,13,14,15,16,17,19,22,23,24,25,26,28,29,30,31,32,33,35,40,41,42,44,45,48,50
,51,52,54,55,62,63,64,65,73,74,75,76,77,79,80,81,100,101,103,104,105,106,107,
108,109,110,118,130,131,132,135,136,139,140,141,153,155,158,160,162,165,168,
169,170,171,172,173,174,175,176,179,180,184,185,186,187,189,199,200,201,202,
204,205,206,207,208,209,212,213,214,228,229,237,240,243,244,247,249,258,281,
283,284,285,286,287,290,331,332,336,337,338,339,340,346,347,350,351,366,369,
380,381,382,383,405,414,415,416,417,422,425,426,427,429,436,438,439,445,446,
447,448,449,452,453,457,474,475,476,477,479,482,483,484,500,501,502,504,505,
507,522,523,528,529,531,532,533,536,537,538,539,541,549,557,569,570,571,572,
583,584,585,586,587,588,589,590,591,592,593,595,597,598,599,600,612,613,615,
616,617,618,619,620,621,623,646,648,649,734,737,740,741,767,787,788,809,810,
811,812,848,849,852,857,876,877,878,879,880,881,918,939,945,954,955,958,961,
981,986,987,988,989,990,991,992,997,1000,1003,1011,1012,1027,1028,1033,1047,
1049,1069,1070,1071,1072,1073,1074,1075,1076,1078,1080,1098,1115,1116,1117,
1118,1119,1123,1130,1137,1138,1139,1140,1142,1144,1145,1146,1147,1148,1149,
1150,1151,1156,1183,1184,1187,1188,1191,1192,1193,1194,1195,1202,1212,1223,
1229,1232,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1245,1253,1258,
1260,1261,1264,1340,1343,1344,1492,1512,1515,1535,1536,1537,1538,1562,1563,
1584,1585,1607,1608,1613,1614,1628,1630,1642,1680,1699,1702,1703,1704,1739,
1755,1760,1782,1783,1803,1806,1807,1877,1887,1910,1911,1912,1913,1914,1915,
1916,1917,1918,1932,1933,1962,1963,1970,1972,2005,2012,2013,2024,2025,2026,
2027,2028,2029,2051,2052,2166,2167,2168,2169,2178,2179,2180,2311,2313,2314,
2315,2358,2362,2364,2384,2393,2398,2400,2407,2413,2425,2427,2428,2435,2436,
2507,2547,2562,2670,2671,2730,2876,2880,2881,2882,2883,2884,2885,2888,2890,
2902,2903,3030,3044,3056,3074,3083,3085,3092,3105,3186,3193,3415,3419,3437,
3447,3448,3449,3576,3662,3665,3666,3681,3841,3991,3994,4018,4168,4229,4309,
4310,4311,4398,4400,4402,4451],[1,2,3,4,5,6,9,10,12,13,15,16,17,19,20,21,22,23
,25,26,28,29,30,31,32,33,35,40,41,42,44,45,48,50,51,52,55,56,62,65,68,70,71,73
,74,75,76,77,79,80,81,87,91,92,93,101,103,106,107,108,109,110,118,130,131,132,
135,136,139,140,141,153,155,158,160,161,162,163,166,168,169,170,172,173,174,
175,176,177,178,179,180,181,182,183,185,189,190,199,201,202,204,205,206,208,
212,213,214,219,221,231,232,239,241,244,245,247,248,249,258,262,264,267,268,
270,272,275,278,279,280,281,282,283,284,287,288,331,332,338,339,347,350,351,
366,369,380,381,382,383,405,414,416,417,423,424,425,429,430,431,433,436,438,
439,445,446,447,448,449,452,453,457,474,475,476,478,479,482,483,484,485,488,
489,490,491,493,500,501,502,504,505,507,521,522,525,528,529,532,533,534,535,
536,537,544,546,554,556,557,559,560,562,569,570,571,576,578,581,583,585,586,
589,593,595,597,598,599,600,602,605,607,612,613,615,619,620,621,645,647,648,
697,701,702,703,743,757,761,765,774,799,803,804,806,810,812,848,849,852,857,
876,877,878,880,882,884,894,895,918,929,930,942,943,958,961,978,984,987,988,
990,993,994,997,1006,1011,1016,1019,1020,1027,1028,1033,1041,1050,1051,1053,
1069,1070,1071,1073,1078,1080,1081,1082,1083,1085,1086,1089,1098,1117,1118,
1119,1125,1126,1127,1133,1137,1139,1142,1144,1145,1148,1152,1153,1156,1165,
1167,1168,1169,1170,1172,1175,1188,1194,1195,1196,1198,1200,1202,1203,1209,
1211,1221,1224,1225,1228,1230,1235,1238,1241,1243,1248,1249,1250,1253,1254,
1257,1259,1260,1261,1338,1343,1344,1460,1512,1515,1535,1536,1539,1540,1541,
1542,1562,1563,1584,1585,1607,1608,1617,1618,1626,1632,1642,1680,1691,1694,
1708,1709,1723,1725,1753,1761,1777,1781,1783,1803,1804,1805,1857,1858,1861,
1862,1875,1881,1882,1889,1914,1915,1918,1930,1934,1937,1952,1955,1974,1977,
1984,1985,1999,2002,2009,2016,2022,2025,2028,2034,2035,2047,2166,2167,2168,
2169,2178,2179,2180,2311,2313,2330,2334,2376,2378,2379,2380,2387,2389,2407,
2417,2418,2425,2427,2428,2432,2433,2525,2547,2566,2654,2659,2722,2877,2878,
2881,2883,2884,2886,2887,2888,2889,2891,2902,2903,3032,3047,3073,3074,3089,
3090,3095,3108,3186,3193,3406,3408,3420,3422,3433,3439,3442,3448,3556,3662,
3665,3666,3681,3847,3989,3990,4018,4168,4224,4309,4310,4311,4398,4399,4401,
4452],[1,2,4,5,6,9,10,11,12,13,19,20,22,23,24,26,28,29,31,32,35,40,41,42,44,48
,50,51,57,65,71,73,74,75,76,77,82,87,88,100,101,107,108,118,130,132,136,139,
140,141,153,155,156,157,160,162,163,168,172,173,174,177,178,179,180,188,189,
190,199,200,201,206,207,209,212,214,218,219,221,236,237,239,240,241,257,258,
260,261,262,263,280,281,282,331,332,346,347,366,369,380,381,405,414,415,416,
420,423,428,429,433,436,438,439,445,446,447,448,449,452,457,474,479,480,481,
482,483,484,485,494,500,501,505,507,521,522,524,528,536,551,556,557,559,560,
562,569,575,576,577,586,592,593,597,604,607,608,613,616,618,619,643,645,649,
688,689,690,742,743,769,799,800,809,848,849,857,876,877,882,884,911,918,919,
929,930,954,955,971,984,986,987,994,997,1007,1011,1017,1021,1022,1027,1033,
1039,1040,1041,1045,1050,1067,1069,1070,1078,1079,1080,1081,1082,1083,1098,
1104,1115,1116,1125,1126,1139,1140,1156,1160,1167,1168,1169,1183,1185,1191,
1192,1202,1203,1206,1207,1208,1217,1225,1231,1232,1243,1246,1254,1263,1264,
1342,1343,1344,1456,1512,1515,1535,1539,1552,1562,1584,1606,1607,1613,1614,
1617,1618,1642,1648,1653,1658,1659,1721,1726,1752,1753,1778,1781,1782,1797,
1804,1807,1851,1852,1853,1854,1873,1874,1875,1882,1891,1912,1913,1925,1934,
1935,1944,1947,1948,1981,1988,2009,2017,2036,2044,2052,2166,2167,2168,2179,
2180,2304,2307,2311,2330,2358,2360,2361,2369,2370,2376,2387,2398,2400,2407,
2408,2418,2527,2547,2564,2650,2651,2681,2873,2875,2877,2880,2882,2883,2886,
2887,2888,2902,2990,3026,3047,3053,3056,3061,3064,3070,3186,3193,3404,3409,
3411,3417,3420,3434,3439,3447,3571,3656,3665,3681,3850,3981,3989,3994,4168,
4200,4309,4311,4396,4399,4402,4453],[1,2,3,4,5,6,9,10,12,13,14,15,16,17,19,20,
21,22,23,24,26,28,29,30,32,33,35,40,41,44,45,48,50,52,55,56,62,63,65,68,70,71,
73,74,75,76,77,79,80,81,87,88,90,92,100,101,106,107,108,109,110,118,130,131,
132,135,136,139,140,141,153,155,158,159,160,161,162,166,168,169,170,171,173,
174,175,176,179,180,181,182,183,185,189,190,195,199,200,201,205,206,207,209,
213,214,221,227,231,232,237,240,241,243,245,246,248,260,262,266,268,270,272,
275,278,279,281,282,283,285,286,287,288,289,331,332,338,339,346,347,351,366,
369,382,383,405,414,415,416,423,424,425,429,430,431,433,436,438,439,445,446,
447,449,452,453,457,474,475,476,477,478,479,482,483,484,486,487,491,500,502,
504,505,507,522,523,525,529,532,533,534,535,537,540,541,544,546,554,556,557,
560,561,570,572,576,578,579,582,583,586,589,592,593,598,600,603,605,606,607,
613,615,616,618,619,620,644,647,649,690,699,700,704,757,761,763,764,772,801,
804,805,806,809,811,848,849,857,878,880,894,895,915,918,924,942,943,954,955,
978,984,986,988,989,993,994,997,1006,1011,1016,1019,1020,1028,1033,1041,1046,
1048,1051,1053,1068,1071,1072,1073,1077,1078,1080,1083,1085,1086,1089,1098,
1103,1115,1116,1124,1127,1133,1139,1140,1145,1147,1152,1155,1163,1167,1170,
1172,1175,1183,1184,1189,1191,1192,1195,1198,1199,1201,1202,1211,1212,1213,
1214,1218,1221,1222,1229,1230,1232,1238,1243,1247,1250,1252,1258,1259,1262,
1264,1341,1343,1344,1461,1512,1515,1536,1540,1554,1563,1585,1607,1609,1613,
1614,1626,1632,1642,1654,1655,1665,1666,1724,1726,1754,1761,1777,1782,1784,
1798,1805,1807,1852,1856,1859,1864,1876,1881,1884,1889,1890,1912,1913,1924,
1936,1939,1943,1946,1953,1955,1978,1979,1986,1999,2007,2014,2033,2035,2042,
2043,2051,2052,2166,2168,2169,2178,2179,2180,2305,2309,2313,2334,2358,2363,
2365,2373,2374,2380,2389,2398,2400,2403,2407,2417,2526,2547,2563,2658,2661,
2683,2877,2878,2879,2880,2882,2884,2885,2887,2888,2889,2891,2902,2989,3027,
3032,3052,3056,3058,3065,3071,3186,3193,3407,3411,3412,3418,3422,3433,3440,
3447,3572,3657,3666,3681,3849,3982,3990,3994,4168,4201,4310,4311,4397,4401,
4402,4454],[1,2,3,4,5,6,8,9,11,15,16,17,18,19,20,21,23,24,25,26,28,30,31,32,33
,35,37,38,41,42,44,46,48,52,56,60,67,75,78,83,84,85,86,88,92,93,105,106,111,
116,117,121,130,131,135,139,144,145,148,152,156,157,161,163,169,176,178,179,
181,182,184,187,190,192,195,202,204,207,209,212,214,216,222,253,275,277,301,
306,311,333,349,353,357,362,363,364,365,372,379,384,387,388,390,409,416,421,
425,432,435,437,439,440,442,449,451,459,469,471,488,493,495,497,502,510,534,
543,550,552,573,575,579,587,591,601,603,608,625,626,643,645,649,651,655,659,
744,807,837,838,842,845,846,847,866,873,885,888,892,903,923,936,947,972,993,
1005,1009,1015,1025,1026,1027,1029,1031,1033,1034,1037,1042,1043,1064,1089,
1093,1102,1141,1157,1166,1171,1280,1281,1283,1287,1289,1342,1343,1354,1359,
1364,1367,1383,1507,1511,1526,1532,1567,1580,1588,1603,1624,1772,1785,1787,
1797,1799,1801,1804,1807,1808,1892,1940,1949,2045,2071,2084,2168,2178,2191,
2200,2205,2210,2230,2236,2238,2293,2302,2323,2344,2531,2548,2558,2564,2569,
2726,2750,2874,2889,2901,2925,2946,2947,3006,3185,3187,3205,3209,3217,3303,
3305,3432,3441,3462,3480,3482,3655,3663,3664,3680,3689,3752,3754,3844,3870,
3871,3872,3939,3979,4014,4048,4121,4124,4170,4238,4275,4403,4455],[1,2,3,4,5,6
,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,28,29,32,35,40,41,44,47
,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,73,74,75,76,77
,79,80,81,82,87,88,89,90,91,92,93,94,95,100,101,103,104,105,106,107,108,109,
110,111,112,118,120,121,127,129,139,141,144,145,146,148,149,150,152,153,155,
156,157,160,162,167,168,173,174,179,180,188,189,190,199,201,206,207,218,219,
221,222,223,224,225,226,227,228,229,230,231,232,233,234,236,237,239,240,241,
242,243,244,245,246,247,248,249,250,251,252,253,257,258,260,261,262,263,264,
265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,
284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,331,332,333,
334,335,336,337,338,339,340,346,347,348,349,350,351,366,369,381,386,405,445,
447,449,450,457,460,474,479,482,483,484,485,494,500,502,507,510,514,515,516,
517,518,521,522,524,528,536,551,556,557,559,560,569,576,577,586,593,597,607,
608,613,616,618,619,629,635,639,665,667,668,669,670,688,689,690,694,695,696,
697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,734,735,737,738,
739,740,741,742,743,750,751,752,753,754,755,756,757,758,759,760,761,762,763,
764,765,766,767,769,770,771,772,773,774,775,776,777,784,785,786,787,788,789,
790,791,792,793,794,795,799,800,801,802,803,804,805,806,807,808,809,810,811,
812,857,866,867,868,873,875,876,884,911,918,919,930,955,1039,1041,1042,1043,
1045,1047,1051,1056,1057,1058,1059,1061,1062,1064,1065,1067,1069,1071,1072,
1078,1083,1089,1090,1098,1099,1104,1115,1117,1125,1126,1139,1141,1156,1167,
1168,1169,1183,1185,1191,1192,1202,1203,1206,1207,1208,1217,1225,1231,1232,
1243,1246,1254,1263,1264,1266,1294,1387,1412,1413,1414,1415,1417,1418,1419,
1421,1422,1423,1424,1425,1426,1431,1432,1433,1445,1456,1457,1458,1459,1460,
1461,1466,1467,1468,1472,1473,1474,1475,1476,1477,1478,1479,1490,1491,1492,
1497,1498,1499,1504,1505,1512,1515,1552,1562,1577,1579,1584,1592,1613,1617,
1642,1648,1658,1793,1818,1824,1840,1841,1844,1848,1849,1851,1852,1855,1856,
1857,1858,1865,1874,1875,1876,1877,1888,1889,1891,1897,1902,1903,1905,1908,
1910,1913,1914,1925,1934,1939,1940,1944,1948,1955,1956,1970,1971,1981,1988,
2009,2017,2036,2044,2052,2067,2068,2069,2076,2086,2103,2242,2255,2266,2273,
2274,2275,2287,2289,2290,2294,2300,2301,2302,2303,2307,2311,2330,2350,2370,
2387,2398,2400,2407,2408,2418,2594,2606,2607,2608,2609,2610,2614,2622,2623,
2636,2637,2638,2640,2642,2643,2646,2647,2649,2650,2659,2660,2661,2670,2677,
2678,2681,2687,2688,2689,2690,2691,2717,2738,2742,2770,2783,2950,2965,2966,
2984,2990,2992,3004,3005,3012,3047,3053,3056,3061,3064,3070,3155,3245,3250,
3252,3262,3263,3270,3275,3287,3288,3290,3298,3308,3311,3502,3503,3504,3505,
3510,3521,3522,3523,3536,3537,3549,3571,3737,3748,3757,3777,3891,3893,3907,
3910,3921,3923,4051,4052,4055,4063,4154,4239,4313,4349,4456],[1,2,4,5,6,8,9,10
,11,12,13,19,20,22,23,26,27,28,29,32,35,38,40,44,50,57,65,71,73,75,76,77,87,
107,108,118,120,121,130,132,134,136,139,140,141,143,144,145,147,153,155,156,
173,174,180,188,189,201,206,215,216,218,221,261,262,263,281,331,366,369,378,
379,381,386,387,405,420,423,428,429,433,436,438,445,446,449,452,457,464,484,
485,500,505,528,551,556,569,593,607,627,629,650,651,656,658,660,661,742,848,
849,857,865,866,867,868,884,906,911,918,919,971,984,1007,1011,1017,1021,1022,
1038,1039,1040,1041,1058,1060,1078,1079,1080,1083,1139,1168,1290,1291,1294,
1305,1317,1343,1344,1345,1349,1356,1357,1366,1371,1515,1518,1552,1562,1564,
1584,1592,1593,1606,1607,1778,1810,1811,1812,1873,1874,1948,2080,2097,2103,
2128,2147,2179,2180,2185,2187,2196,2197,2202,2203,2294,2295,2304,2330,2332,
2567,2568,2569,2580,2581,2582,2770,2850,2873,2875,2877,2902,2922,2923,2992,
2993,3115,3116,3193,3208,3210,3211,3236,3317,3434,3490,3584,3585,3674,3675,
3676,3681,3878,3883,3981,4008,4009,4079,4130,4132,4250,4252,4253,4278,4457],[1
,2,4,5,6,7,8,9,10,12,13,14,19,20,22,23,26,27,28,29,32,35,38,39,40,44,50,63,65,
71,73,75,76,77,81,108,110,118,121,124,125,126,130,132,134,136,139,140,143,145,
146,147,150,155,156,159,173,180,188,189,195,204,208,215,216,221,227,281,286,
288,289,339,366,369,375,376,377,379,386,387,393,405,420,423,428,429,433,436,
438,445,446,449,452,470,471,497,498,500,505,551,556,561,574,595,609,627,631,
650,651,656,658,660,661,764,848,849,865,866,869,870,871,904,906,915,918,924,
971,984,1007,1011,1017,1021,1022,1038,1040,1041,1048,1060,1062,1072,1077,1078,
1080,1144,1181,1290,1291,1297,1307,1319,1343,1344,1347,1348,1349,1356,1357,
1366,1371,1526,1529,1554,1566,1569,1592,1593,1595,1607,1609,1778,1810,1811,
1812,1876,1884,1954,2080,2099,2109,2131,2149,2179,2180,2185,2187,2196,2197,
2202,2203,2295,2296,2305,2345,2347,2568,2569,2570,2580,2581,2582,2775,2852,
2875,2877,2879,2903,2922,2923,3000,3003,3115,3116,3193,3210,3211,3212,3236,
3319,3436,3491,3584,3585,3675,3676,3679,3681,3879,3884,3982,4011,4012,4079,
4131,4133,4251,4252,4253,4280,4458],[1,2,4,5,6,8,9,10,11,12,13,22,24,26,27,28,
29,32,35,40,41,43,44,50,51,57,73,74,82,100,101,118,120,121,130,132,134,136,139
,141,144,145,148,153,155,156,157,159,160,162,168,173,174,189,199,206,207,208,
215,216,217,218,236,237,257,258,366,369,381,383,386,387,390,405,407,408,414,
415,418,420,428,429,445,447,450,474,479,500,507,521,522,524,528,536,569,574,
576,577,586,597,618,619,627,629,650,651,652,654,656,660,663,688,857,866,867,
868,873,876,884,911,915,918,930,937,938,942,945,955,961,971,986,987,1038,1039,
1045,1058,1059,1067,1069,1115,1156,1217,1225,1231,1232,1290,1291,1293,1294,
1296,1317,1343,1345,1351,1356,1358,1360,1361,1362,1363,1365,1366,1378,1379,
1512,1562,1566,1577,1579,1584,1602,1617,1642,1658,1665,1669,1672,1678,1699,
1708,1712,1721,1810,1814,1816,1818,1851,1925,2077,2079,2080,2103,2116,2120,
2136,2141,2166,2170,2179,2185,2189,2195,2208,2225,2226,2294,2300,2301,2307,
2311,2350,2387,2398,2465,2468,2469,2567,2569,2571,2573,2574,2587,2588,2743,
2783,2811,2822,2845,2873,2880,2883,2895,2939,2965,3012,3053,3115,3117,3118,
3119,3199,3208,3214,3215,3219,3221,3231,3239,3308,3378,3404,3490,3584,3588,
3674,3677,3685,3687,3705,3713,3716,3757,3810,3881,3886,3889,3930,3983,4025,
4080,4135,4149,4250,4258,4298,4353,4408,4459],[1,2,4,5,6,8,9,10,11,12,13,19,20
,22,23,26,27,28,29,32,35,38,40,41,44,50,57,65,71,73,75,76,77,87,107,108,118,
120,121,130,132,134,136,139,141,144,145,148,153,155,156,157,160,162,168,173,
174,179,180,188,189,190,195,199,201,204,206,215,216,217,218,221,261,262,263,
281,331,366,369,378,379,381,383,386,387,390,405,414,416,420,423,428,429,433,
436,438,445,447,449,457,471,474,482,483,484,485,494,497,500,507,522,524,528,
551,556,557,559,560,569,593,607,613,616,627,629,650,651,652,654,656,658,660,
661,663,742,857,866,867,868,873,876,880,881,884,895,903,906,911,918,919,924,
930,942,945,955,958,971,984,994,997,1007,1011,1017,1021,1022,1038,1039,1041,
1045,1058,1059,1067,1078,1083,1098,1104,1126,1139,1168,1183,1202,1206,1207,
1208,1290,1291,1294,1296,1305,1317,1343,1345,1351,1353,1354,1356,1358,1360,
1361,1366,1370,1371,1373,1374,1376,1378,1379,1381,1512,1515,1526,1527,1528,
1552,1562,1577,1584,1592,1602,1626,1627,1628,1629,1642,1654,1658,1669,1685,
1691,1704,1712,1752,1778,1810,1811,1812,1814,1816,1874,1891,1944,1948,2080,
2082,2083,2092,2103,2127,2128,2136,2141,2166,2168,2179,2185,2189,2195,2197,
2201,2202,2207,2211,2215,2216,2218,2219,2220,2222,2223,2224,2294,2300,2301,
2307,2330,2346,2350,2354,2400,2407,2408,2418,2446,2468,2469,2567,2569,2571,
2573,2575,2577,2579,2580,2583,2587,2588,2749,2770,2783,2791,2799,2845,2873,
2877,2887,2888,2902,2917,2922,2928,2929,2938,2990,2992,3004,3070,3115,3118,
3120,3121,3199,3203,3205,3208,3211,3214,3221,3226,3231,3232,3235,3237,3308,
3347,3371,3417,3434,3490,3584,3586,3590,3595,3674,3677,3685,3690,3701,3703,
3707,3710,3715,3717,3777,3810,3882,3883,3886,3889,3932,3934,4001,4004,4008,
4015,4023,4080,4081,4082,4135,4144,4147,4250,4256,4257,4288,4292,4356,4408,
4460],[1,2,3,4,5,6,8,9,11,12,13,21,25,26,27,28,30,32,33,35,37,40,41,44,45,50,
57,66,86,91,113,118,120,121,130,132,133,134,136,137,139,141,144,145,148,153,
156,157,160,162,173,174,181,183,202,215,216,217,218,254,300,369,372,381,382,
383,387,390,391,392,405,419,420,428,429,434,459,469,490,495,500,507,509,522,
524,528,542,614,627,629,650,651,652,654,656,657,660,662,663,691,852,857,866,
867,868,873,884,894,905,911,942,945,971,1038,1039,1045,1058,1059,1067,1190,
1204,1290,1291,1292,1296,1300,1317,1343,1345,1355,1356,1358,1360,1366,1372,
1378,1379,1532,1541,1584,1602,1604,1642,1669,1712,1810,1814,1816,1819,1825,
1846,1926,2078,2080,2081,2095,2103,2141,2148,2175,2179,2181,2185,2189,2195,
2294,2300,2301,2307,2350,2468,2469,2470,2567,2569,2571,2573,2587,2747,2836,
2845,2873,2977,2982,3018,3093,3115,3118,3122,3123,3206,3208,3213,3221,3231,
3308,3490,3584,3596,3674,3677,3685,3780,3810,3889,4080,4135,4250,4359,4408,
4461],[1,2,5,6,7,8,9,10,22,26,28,29,40,43,44,48,73,118,120,121,122,123,124,125
,126,130,139,140,141,142,143,145,146,153,154,155,156,159,168,199,206,208,215,
216,366,381,386,387,393,405,407,408,414,439,440,441,442,443,445,446,447,474,
569,574,629,630,631,632,650,651,848,857,858,859,860,861,862,863,864,865,866,
867,868,869,870,871,911,913,914,915,930,937,953,955,961,1038,1293,1294,1297,
1317,1319,1343,1344,1361,1362,1382,1383,1384,1385,1386,1512,1562,1564,1566,
1569,1577,1578,1658,1664,1678,1790,1810,2085,2097,2099,2103,2104,2105,2106,
2107,2108,2109,2116,2118,2166,2535,2547,2567,2568,2569,2570,2574,2590,2779,
2783,2797,2811,2812,2813,3157,3171,3193,3214,3215,3478,3479,3490,3491,3619,
3878,3879,3881,4042,4168,4236,4366,4367,4462],[1,2,3,4,5,6,8,9,10,11,12,13,14,
15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,37,38,40,41,42,43,
44,45,46,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,
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,
121,130,131,132,135,136,139,140,143,144,145,147,148,152,153,155,156,157,158,
159,160,161,162,163,164,165,166,168,169,170,171,172,173,174,175,176,177,178,
179,180,181,182,183,184,185,186,187,188,189,190,191,192,194,195,197,199,200,
201,202,204,205,206,207,208,209,216,218,219,220,221,222,223,224,225,226,227,
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,
361,362,363,364,365,367,372,379,384,386,387,388,390,391,408,409,414,415,416,
417,420,421,422,423,424,425,426,427,428,429,430,431,432,433,435,436,437,438,
445,446,448,449,450,451,452,453,454,455,456,458,459,460,464,468,469,471,472,
474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,
493,494,495,497,498,500,501,502,503,504,505,506,508,509,510,511,512,513,519,
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,
559,560,561,562,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,
579,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,597,598,599,
600,601,602,603,604,605,606,607,608,609,611,612,613,614,615,616,617,618,619,
620,621,622,623,624,625,626,651,653,655,658,659,661,664,665,666,667,668,669,
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,
841,842,843,844,845,846,865,866,873,883,885,886,887,888,889,891,892,903,906,
916,922,923,926,927,931,933,935,936,937,938,946,947,967,968,969,970,971,972,
973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,
992,993,994,995,996,997,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,
1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,
1025,1026,1039,1040,1041,1042,1043,1047,1048,1049,1050,1051,1052,1053,1054,
1055,1060,1064,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,
1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,
1093,1094,1095,1096,1097,1099,1100,1101,1102,1111,1114,1115,1116,1117,1118,
1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,
1136,1137,1138,1139,1140,1141,1144,1145,1146,1147,1148,1149,1150,1151,1152,
1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,
1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1183,
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,
1259,1260,1261,1262,1263,1264,1265,1267,1268,1269,1270,1271,1272,1273,1274,
1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,
1343,1352,1354,1357,1359,1362,1364,1367,1368,1369,1371,1375,1377,1380,1387,
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,
1508,1509,1510,1513,1514,1516,1518,1526,1532,1533,1555,1564,1565,1566,1567,
1571,1579,1580,1586,1587,1588,1592,1593,1603,1604,1619,1620,1621,1622,1624,
1625,1634,1639,1643,1644,1646,1647,1675,1676,1689,1714,1715,1716,1717,1718,
1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1731,1732,1733,1734,
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,
1780,1781,1782,1783,1784,1785,1786,1787,1788,1789,1826,1830,1832,1833,1834,
1835,1836,1837,1838,1839,1840,1841,1842,1843,1844,1851,1852,1853,1854,1855,
1856,1857,1858,1859,1860,1861,1862,1863,1864,1865,1870,1871,1872,1873,1874,
1875,1876,1877,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,
1892,1893,1894,1895,1897,1898,1899,1901,1904,1906,1907,1908,1909,1910,1911,
1912,1913,1914,1915,1916,1917,1920,1921,1922,1923,1924,1925,1926,1927,1928,
1929,1930,1931,1932,1933,1934,1935,1936,1937,1938,1939,1940,1943,1944,1945,
1946,1947,1948,1949,1952,1953,1954,1955,1956,1957,1958,1959,1960,1961,1962,
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,
2053,2054,2055,2056,2057,2058,2059,2060,2061,2066,2070,2071,2072,2073,2074,
2075,2166,2168,2178,2179,2187,2188,2190,2191,2193,2194,2196,2198,2199,2200,
2203,2204,2205,2206,2209,2210,2212,2213,2217,2221,2227,2228,2240,2241,2242,
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,
2288,2289,2290,2291,2292,2295,2302,2310,2312,2316,2317,2318,2319,2320,2321,
2322,2323,2329,2331,2332,2333,2335,2342,2343,2344,2345,2357,2390,2391,2392,
2394,2395,2397,2404,2405,2406,2409,2411,2412,2414,2415,2416,2420,2421,2423,
2455,2466,2467,2471,2472,2473,2474,2475,2476,2477,2478,2479,2482,2483,2484,
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,
2515,2516,2517,2518,2519,2520,2522,2523,2524,2525,2526,2527,2528,2529,2530,
2531,2569,2591,2592,2593,2594,2609,2610,2611,2612,2613,2614,2615,2616,2625,
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,
2656,2657,2658,2659,2660,2661,2664,2665,2666,2667,2668,2669,2670,2671,2672,
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,
2703,2704,2705,2706,2707,2708,2709,2710,2711,2712,2713,2714,2718,2719,2720,
2721,2722,2723,2724,2725,2726,2727,2728,2729,2730,2731,2739,2740,2741,2873,
2874,2876,2877,2878,2880,2881,2883,2884,2885,2887,2888,2889,2897,2898,2901,
2902,2906,2907,2909,2910,2913,2914,2918,2919,2920,2923,2924,2925,2926,2927,
2931,2932,2936,2940,2949,2950,2951,2952,2953,2954,2955,2956,2957,2958,2959,
2960,2961,2962,2963,2967,2970,2986,2987,2991,2993,2994,3000,3001,3005,3006,
3010,3017,3023,3034,3035,3036,3037,3038,3039,3040,3048,3050,3051,3107,3114,
3124,3127,3128,3129,3130,3131,3132,3133,3134,3135,3136,3137,3138,3139,3140,
3141,3142,3143,3144,3145,3146,3147,3148,3149,3151,3201,3205,3209,3211,3215,
3217,3222,3247,3248,3249,3250,3251,3252,3253,3254,3255,3256,3257,3259,3260,
3261,3262,3264,3265,3266,3267,3268,3269,3270,3271,3273,3274,3275,3281,3282,
3283,3284,3285,3286,3287,3288,3289,3290,3291,3292,3293,3294,3295,3296,3297,
3298,3400,3401,3402,3403,3404,3405,3406,3407,3408,3410,3411,3413,3414,3415,
3416,3417,3418,3419,3420,3421,3422,3431,3432,3433,3434,3435,3437,3438,3439,
3440,3441,3446,3447,3448,3451,3452,3456,3462,3466,3467,3468,3471,3473,3489,
3506,3511,3512,3513,3525,3529,3538,3539,3541,3542,3543,3544,3545,3546,3547,
3548,3582,3597,3598,3599,3600,3601,3602,3603,3676,3680,3688,3689,3693,3694,
3704,3711,3714,3731,3732,3736,3737,3738,3739,3740,3741,3742,3743,3744,3745,
3746,3747,3749,3750,3811,3812,3813,3815,3816,3817,3818,3819,3820,3821,3822,
3823,3824,3825,3829,3830,3831,3832,3833,3834,3835,3836,3837,3838,3839,3840,
3841,3842,3844,3847,3848,3849,3850,3855,3857,3909,3911,3917,3918,3919,3920,
3922,3925,3926,3941,3986,3987,3998,3999,4003,4005,4009,4010,4013,4014,4022,
4033,4045,4046,4083,4086,4087,4088,4089,4090,4091,4092,4093,4094,4095,4096,
4097,4098,4100,4101,4102,4104,4105,4106,4153,4157,4161,4164,4204,4207,4208,
4213,4217,4218,4219,4221,4233,4259,4260,4261,4262,4263,4264,4265,4268,4307,
4324,4332,4369,4410,4411,4412,4463],[1,2,3,4,6,7,9,10,11,12,13,14,15,16,17,18,
19,20,21,22,23,24,25,27,29,31,33,35,36,39,42,44,45,47,49,50,51,52,53,54,55,56,
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
,107,108,109,110,111,112,113,114,115,116,117,124,133,134,137,140,144,146,149,
150,156,159,163,165,166,167,172,177,178,182,183,184,185,186,187,188,189,195,
196,198,200,204,208,209,218,219,220,221,222,223,224,225,226,227,228,229,230,
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,
364,365,370,375,393,394,395,396,410,418,419,434,446,448,450,451,452,453,459,
460,461,462,463,465,466,470,480,481,486,487,488,489,497,498,501,503,504,505,
509,510,514,515,516,517,518,526,527,547,548,549,550,551,552,553,554,555,561,
562,563,565,574,575,581,582,590,591,592,595,602,603,604,609,617,623,665,666,
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,
838,839,840,841,842,843,844,845,846,855,856,869,896,897,898,899,900,904,928,
949,950,998,1040,1043,1048,1049,1050,1053,1054,1055,1056,1057,1061,1062,1070,
1073,1074,1075,1076,1077,1079,1080,1081,1082,1084,1085,1086,1090,1091,1092,
1093,1094,1099,1100,1101,1102,1106,1107,1108,1109,1110,1112,1113,1116,1118,
1134,1135,1140,1144,1160,1161,1162,1163,1164,1165,1166,1181,1215,1216,1227,
1245,1256,1266,1275,1282,1345,1347,1348,1350,1387,1388,1389,1390,1391,1392,
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,
1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,1517,1529,
1545,1546,1549,1550,1569,1581,1590,1595,1612,1640,1641,1645,1730,1820,1821,
1822,1823,1827,1828,1832,1839,1842,1843,1848,1849,1853,1854,1859,1860,1861,
1862,1863,1864,1873,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1892,
1893,1894,1895,1897,1899,1900,1903,1905,1911,1912,1915,1916,1917,1935,1936,
1937,1938,1947,1952,1953,1954,1972,2011,2021,2062,2063,2064,2065,2067,2068,
2069,2070,2075,2076,2170,2171,2172,2173,2174,2175,2181,2182,2183,2184,2240,
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,
2286,2287,2288,2289,2290,2291,2292,2296,2325,2326,2327,2347,2386,2396,2410,
2422,2480,2481,2521,2591,2592,2601,2602,2603,2604,2608,2611,2612,2613,2619,
2620,2621,2624,2629,2631,2641,2645,2648,2651,2652,2653,2654,2655,2656,2657,
2658,2671,2692,2693,2717,2732,2733,2734,2735,2736,2737,2738,2741,2742,2892,
2893,2894,2949,2950,2951,2952,2953,2954,2955,2956,2957,2958,2959,2960,2961,
2962,2963,2968,2969,2979,2980,2985,3002,3003,3049,3125,3126,3150,3195,3196,
3246,3248,3253,3254,3259,3260,3261,3263,3264,3267,3271,3280,3291,3299,3489,
3498,3499,3500,3507,3508,3509,3519,3520,3524,3535,3540,3604,3668,3669,3672,
3673,3682,3683,3732,3734,3735,3739,3740,3742,3743,3744,3746,3748,3814,3895,
3896,3897,3898,3906,3908,3914,3992,3993,4045,4047,4084,4085,4099,4103,4160,
4266,4267,4409,4464],[1,2,4,5,6,9,10,12,13,19,22,23,26,27,28,29,32,35,40,41,44
,48,50,65,73,75,76,77,108,118,130,132,134,136,139,140,141,153,160,162,168,173,
179,180,189,199,201,214,215,216,281,366,369,405,414,416,420,423,428,429,433,
436,438,439,445,446,447,449,452,457,474,482,483,484,500,505,507,522,557,613,
627,650,651,652,656,658,660,661,663,847,848,849,857,918,971,984,997,1007,1011,
1017,1021,1022,1033,1038,1078,1080,1098,1202,1290,1291,1343,1344,1356,1357,
1358,1360,1366,1370,1371,1373,1374,1376,1378,1379,1381,1511,1512,1515,1607,
1642,1778,1810,1811,1812,2080,2082,2083,2084,2166,2168,2179,2180,2185,2187,
2189,2195,2196,2197,2201,2202,2203,2207,2215,2216,2218,2222,2223,2224,2407,
2547,2573,2580,2581,2582,2749,2750,2888,2922,2923,2928,2938,3115,3116,3186,
3193,3226,3231,3232,3236,3584,3585,3586,3590,3681,3715,3753,3932,4049,4079,
4168,4253,4311,4417,4465],[1,2,4,5,6,7,8,9,10,11,12,13,19,20,22,23,24,26,28,29
,31,32,34,35,40,41,42,43,44,46,50,51,57,65,71,73,74,75,76,77,82,87,88,100,101,
107,108,118,120,121,122,123,124,125,126,130,132,136,139,140,141,142,143,144,
145,146,147,148,151,153,154,155,156,157,158,159,160,161,162,163,164,168,172,
173,174,177,178,188,189,199,200,205,206,207,208,209,210,215,216,218,219,221,
236,237,239,240,241,257,258,260,261,262,263,280,281,282,331,332,346,347,366,
367,369,380,381,383,384,385,386,387,388,389,390,393,399,400,401,402,405,407,
408,409,414,415,420,428,429,445,446,447,448,449,450,452,454,455,456,474,479,
480,481,500,501,505,506,507,508,521,522,523,524,525,528,536,551,562,569,570,
571,572,574,575,576,577,578,579,580,586,592,597,604,618,619,620,621,629,630,
631,632,650,651,652,663,688,689,690,742,743,769,799,800,809,848,849,857,858,
859,860,861,862,863,864,865,866,867,868,869,870,871,873,874,876,877,882,883,
884,911,913,914,915,916,918,919,929,930,931,932,936,937,938,942,944,945,946,
951,952,953,954,955,961,962,971,986,987,1038,1039,1040,1041,1044,1045,1046,
1050,1052,1058,1059,1060,1063,1066,1067,1068,1069,1070,1078,1079,1080,1081,
1082,1083,1115,1116,1137,1138,1139,1140,1142,1143,1156,1160,1217,1218,1219,
1220,1221,1222,1223,1224,1225,1228,1229,1230,1231,1232,1234,1235,1293,1294,
1295,1296,1297,1303,1304,1317,1318,1319,1320,1321,1343,1344,1351,1356,1358,
1360,1361,1363,1378,1379,1456,1512,1513,1514,1535,1539,1552,1562,1563,1564,
1565,1566,1567,1568,1569,1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,
1584,1586,1592,1594,1601,1602,1606,1607,1613,1614,1617,1618,1642,1643,1644,
1648,1653,1658,1659,1660,1661,1663,1664,1665,1669,1672,1673,1675,1678,1679,
1699,1701,1708,1710,1721,1790,1810,1818,1826,1851,1852,1853,1854,1873,1874,
1875,1882,1912,1913,1920,1921,1923,1924,1925,1934,1935,1947,1948,1950,1951,
2018,2022,2023,2026,2085,2086,2087,2097,2098,2099,2103,2104,2105,2106,2107,
2108,2109,2116,2117,2118,2119,2120,2121,2136,2137,2139,2141,2143,2166,2167,
2179,2180,2185,2189,2195,2225,2226,2294,2295,2297,2298,2299,2300,2301,2304,
2307,2308,2309,2310,2311,2312,2329,2350,2351,2358,2360,2361,2369,2370,2376,
2387,2388,2389,2390,2391,2392,2393,2394,2398,2399,2426,2427,2464,2465,2535,
2537,2567,2568,2569,2570,2573,2588,2650,2651,2710,2758,2770,2772,2777,2779,
2780,2781,2782,2783,2784,2797,2798,2806,2808,2811,2812,2813,2814,2815,2820,
2821,2822,2823,2840,2841,2844,2845,2849,2855,2856,2873,2875,2880,2882,2883,
2886,2895,2939,2965,2967,2992,2993,2994,2995,2996,2997,3012,3013,3014,3015,
3016,3017,3026,3052,3053,3054,3055,3072,3073,3076,3077,3083,3084,3157,3163,
3165,3171,3193,3199,3200,3214,3216,3220,3221,3231,3308,3309,3310,3311,3312,
3317,3318,3333,3334,3362,3365,3366,3367,3378,3379,3381,3404,3409,3490,3491,
3505,3506,3578,3579,3617,3619,3620,3646,3665,3674,3675,3677,3678,3681,3685,
3686,3705,3706,3712,3713,3716,3757,3758,3764,3773,3774,3775,3794,3878,3879,
3886,3887,3946,3947,3952,3981,3983,3985,3989,3994,4025,4026,4053,4054,4125,
4129,4135,4136,4141,4180,4200,4236,4278,4279,4281,4282,4283,4298,4299,4347,
4380,4387,4418,4466],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23
,26,28,29,30,31,32,33,34,35,37,40,41,42,43,44,45,46,50,51,52,53,54,55,56,57,62
,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,87,92,101,106,107,108,109,110
,118,120,121,122,123,124,125,126,130,132,136,139,140,141,142,143,144,145,146,
147,148,151,153,154,155,156,157,158,159,160,161,162,165,166,168,169,170,171,
172,173,174,175,176,179,180,181,182,183,184,185,186,187,188,189,190,191,193,
199,201,205,206,208,215,216,218,221,228,229,230,231,232,233,234,258,261,262,
263,268,269,270,271,272,275,278,279,281,283,284,285,286,287,290,331,337,338,
340,366,367,369,372,380,381,382,383,384,385,386,387,388,389,390,391,392,393,
399,400,401,402,405,407,408,409,414,416,420,428,429,445,446,447,448,449,452,
453,454,457,458,474,475,476,477,479,482,483,484,491,494,500,501,502,504,505,
506,507,508,510,511,512,521,522,523,524,525,526,528,529,530,531,532,533,534,
535,536,537,538,539,541,543,544,545,546,549,551,552,553,554,555,557,558,559,
560,569,570,571,572,574,576,578,583,584,585,586,589,597,598,599,600,605,613,
616,619,620,621,629,630,631,632,650,651,652,663,667,668,737,742,757,758,759,
760,761,762,767,848,849,857,858,859,860,861,862,863,864,865,866,867,868,869,
870,871,873,874,876,877,878,879,880,881,883,886,887,888,894,895,905,911,913,
914,915,918,919,921,922,930,933,934,938,939,940,941,942,943,944,945,946,955,
961,971,994,997,1038,1039,1040,1041,1044,1045,1046,1047,1049,1051,1053,1058,
1059,1060,1063,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1078,1079,
1080,1083,1085,1086,1089,1095,1098,1104,1105,1123,1126,1127,1128,1129,1130,
1131,1132,1133,1134,1137,1139,1142,1145,1146,1147,1148,1149,1150,1151,1156,
1170,1172,1173,1174,1175,1176,1178,1183,1198,1199,1201,1202,1206,1207,1208,
1212,1219,1220,1221,1223,1225,1237,1238,1239,1240,1248,1249,1250,1253,1293,
1294,1295,1296,1297,1300,1303,1304,1317,1318,1319,1320,1321,1343,1344,1351,
1353,1356,1358,1360,1361,1378,1379,1417,1512,1513,1515,1516,1535,1536,1537,
1538,1540,1552,1553,1562,1563,1564,1565,1566,1569,1570,1571,1577,1584,1585,
1586,1587,1588,1589,1592,1594,1596,1597,1598,1599,1600,1601,1602,1603,1606,
1607,1620,1626,1627,1628,1630,1632,1633,1636,1637,1638,1642,1643,1644,1646,
1658,1665,1668,1669,1670,1671,1672,1673,1678,1699,1708,1752,1790,1810,1840,
1841,1842,1871,1872,1873,1874,1877,1878,1879,1880,1881,1887,1888,1889,1891,
1896,1902,1904,1910,1920,1930,1932,1943,1944,1948,1950,1955,1995,1996,1997,
1998,1999,2000,2001,2005,2085,2086,2087,2088,2090,2091,2092,2095,2097,2098,
2099,2103,2104,2105,2106,2107,2108,2109,2120,2121,2122,2123,2136,2139,2143,
2166,2167,2168,2169,2179,2180,2185,2189,2195,2219,2220,2294,2295,2297,2298,
2299,2300,2301,2304,2307,2308,2309,2311,2312,2313,2314,2315,2316,2317,2318,
2334,2336,2350,2351,2354,2355,2356,2377,2380,2381,2384,2387,2388,2389,2390,
2393,2394,2400,2402,2404,2407,2408,2413,2415,2417,2418,2419,2421,2427,2465,
2535,2537,2567,2568,2569,2570,2573,2588,2610,2612,2640,2664,2758,2759,2760,
2761,2763,2765,2766,2767,2768,2769,2770,2772,2773,2774,2777,2778,2783,2784,
2811,2812,2820,2821,2841,2843,2844,2845,2846,2847,2849,2873,2875,2887,2888,
2890,2891,2917,2929,2984,2986,2988,2990,2992,2993,2995,2997,2998,3001,3004,
3007,3008,3009,3014,3016,3021,3022,3024,3030,3031,3032,3033,3036,3041,3042,
3043,3044,3070,3071,3076,3095,3157,3163,3165,3171,3193,3199,3200,3202,3203,
3214,3216,3220,3221,3231,3306,3307,3308,3309,3310,3317,3318,3347,3348,3350,
3358,3359,3360,3361,3378,3381,3417,3424,3490,3491,3526,3527,3537,3538,3558,
3617,3618,3646,3665,3666,3674,3675,3677,3678,3681,3685,3686,3707,3708,3709,
3710,3717,3759,3760,3763,3773,3775,3777,3778,3793,3878,3879,3886,3887,3942,
3943,3952,3981,3990,3991,4001,4002,4004,4007,4068,4070,4125,4126,4129,4135,
4136,4141,4183,4198,4236,4278,4279,4281,4284,4285,4291,4292,4347,4379,4385,
4418,4467],[1,2,4,5,6,7,8,9,10,11,12,13,14,19,20,22,23,25,26,28,29,32,35,38,39
,40,41,43,44,50,57,63,65,71,73,75,76,77,81,87,89,93,103,107,108,110,118,120,
121,122,123,124,125,126,130,132,136,139,140,141,142,143,144,145,146,147,148,
151,153,154,155,156,157,158,159,160,161,162,168,171,173,174,179,180,188,189,
190,194,195,199,201,202,203,204,205,206,208,215,216,218,221,227,242,246,247,
248,249,261,262,263,265,267,281,286,288,289,331,339,350,351,366,369,373,374,
375,376,377,378,379,381,383,386,387,390,393,405,407,408,420,423,428,429,433,
436,438,445,446,447,449,452,457,460,464,467,468,470,471,472,473,474,477,478,
482,483,484,485,492,493,494,496,497,498,500,505,506,507,522,523,524,525,528,
540,541,551,556,557,559,560,561,569,570,571,572,574,578,585,593,595,599,607,
609,612,613,615,616,620,621,629,630,631,632,650,651,652,656,658,660,661,663,
695,698,703,742,764,773,801,802,810,848,849,852,857,858,859,860,861,862,863,
864,865,866,867,868,869,870,871,873,874,881,884,903,904,906,911,913,914,915,
918,919,924,925,926,930,937,938,942,944,945,953,955,958,959,960,961,971,984,
1007,1011,1017,1021,1022,1038,1039,1040,1041,1044,1045,1046,1048,1058,1059,
1060,1063,1067,1068,1072,1077,1078,1079,1080,1083,1096,1098,1103,1104,1117,
1118,1119,1120,1124,1126,1137,1139,1142,1144,1151,1153,1155,1168,1181,1183,
1184,1186,1187,1188,1189,1193,1194,1195,1197,1200,1202,1206,1207,1208,1210,
1211,1213,1214,1219,1220,1221,1223,1241,1251,1257,1260,1262,1293,1294,1296,
1297,1305,1306,1307,1308,1317,1319,1343,1344,1356,1358,1360,1366,1370,1371,
1373,1374,1376,1378,1379,1381,1457,1512,1515,1518,1519,1520,1521,1522,1523,
1524,1525,1526,1527,1528,1529,1530,1531,1533,1534,1552,1554,1562,1563,1564,
1565,1566,1569,1577,1578,1584,1592,1593,1595,1601,1602,1606,1607,1608,1609,
1629,1634,1642,1643,1654,1656,1658,1664,1669,1673,1678,1680,1682,1684,1685,
1686,1687,1690,1691,1704,1705,1778,1790,1810,1811,1812,1824,1829,1830,1831,
1855,1858,1860,1863,1866,1867,1869,1873,1874,1876,1884,1890,1891,1914,1915,
1918,1920,1928,1929,1938,1939,1942,1944,1946,1948,1950,1954,1985,1987,2004,
2015,2027,2028,2030,2041,2043,2049,2085,2097,2098,2099,2101,2103,2104,2105,
2106,2107,2108,2109,2110,2116,2118,2120,2121,2127,2128,2131,2147,2148,2149,
2179,2180,2185,2189,2195,2197,2201,2202,2207,2215,2216,2218,2222,2223,2224,
2294,2295,2297,2298,2299,2300,2301,2304,2305,2307,2308,2309,2315,2321,2330,
2332,2345,2346,2347,2349,2350,2351,2388,2389,2390,2393,2400,2401,2403,2405,
2407,2408,2414,2418,2424,2425,2427,2428,2429,2430,2438,2439,2446,2454,2532,
2535,2567,2568,2569,2570,2573,2580,2656,2660,2662,2725,2770,2772,2775,2776,
2777,2779,2783,2795,2797,2799,2800,2801,2802,2803,2804,2805,2809,2810,2811,
2812,2813,2816,2818,2820,2821,2825,2845,2849,2850,2851,2852,2873,2875,2877,
2879,2902,2903,2922,2928,2938,2966,2970,2971,2972,2973,2974,2975,2989,2990,
2992,2993,2995,2997,2999,3000,3004,3014,3016,3019,3020,3034,3045,3058,3059,
3066,3068,3070,3074,3076,3078,3079,3081,3085,3086,3087,3090,3106,3157,3158,
3170,3171,3193,3208,3210,3211,3212,3220,3221,3226,3231,3232,3308,3309,3310,
3317,3318,3328,3330,3331,3332,3336,3337,3338,3341,3363,3364,3368,3371,3376,
3434,3436,3490,3491,3510,3512,3514,3516,3564,3567,3568,3607,3617,3619,3634,
3674,3675,3677,3678,3681,3685,3686,3700,3701,3702,3703,3715,3761,3762,3773,
3775,3777,3779,3795,3798,3800,3878,3879,3883,3884,3949,3952,3957,3981,3982,
4008,4012,4015,4016,4018,4023,4024,4064,4065,4129,4132,4133,4135,4136,4186,
4226,4236,4278,4279,4281,4286,4287,4288,4289,4345,4382,4384,4389,4418,4468],[1
,2,3,4,5,6,7,8,9,10,12,13,15,16,17,19,20,21,22,23,25,26,28,29,31,32,33,34,35,
36,38,39,40,41,42,44,45,46,47,50,51,52,55,56,62,65,68,70,71,73,74,75,76,77,79,
80,81,87,91,92,93,101,103,106,107,108,109,110,118,120,121,122,123,124,125,126,
130,132,136,139,140,141,143,145,146,153,155,156,159,160,162,163,165,166,168,
172,173,174,177,178,179,180,182,183,184,185,186,187,188,189,190,195,197,198,
199,200,201,204,206,208,209,215,216,219,221,231,232,239,241,244,245,247,248,
249,258,262,264,267,268,270,272,275,278,279,280,281,282,283,284,287,288,331,
332,338,339,347,350,351,366,367,369,370,373,374,375,376,377,378,379,380,381,
382,383,384,385,386,387,388,389,393,394,395,396,397,398,399,400,401,402,405,
409,410,414,416,429,436,438,445,446,447,448,449,452,453,454,455,457,461,464,
470,471,474,479,480,481,482,483,484,485,486,487,488,489,497,498,500,501,502,
504,505,507,508,511,514,521,522,526,527,528,536,547,548,549,550,551,552,553,
554,555,556,557,559,560,561,562,569,574,575,576,581,582,586,590,591,592,593,
595,597,602,603,604,607,609,613,617,619,623,629,630,631,632,650,651,656,658,
660,661,697,701,702,703,743,757,761,765,774,799,803,804,806,810,812,848,849,
852,853,854,855,856,857,865,866,867,868,869,870,871,876,877,878,879,880,881,
882,883,884,891,892,893,894,895,897,898,899,900,901,904,906,908,909,910,911,
915,918,919,924,927,928,929,930,939,942,943,945,946,947,949,954,955,958,961,
987,994,1011,1038,1041,1050,1051,1053,1069,1070,1071,1073,1078,1080,1081,1082,
1083,1085,1086,1087,1089,1098,1111,1113,1117,1118,1125,1126,1134,1135,1139,
1144,1156,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1181,1202,1203,
1215,1216,1225,1227,1243,1245,1254,1256,1294,1295,1297,1301,1302,1303,1304,
1305,1306,1307,1308,1317,1318,1319,1320,1321,1322,1323,1343,1344,1351,1352,
1361,1364,1366,1371,1460,1512,1513,1514,1515,1517,1518,1526,1527,1528,1529,
1530,1531,1535,1536,1537,1538,1539,1540,1541,1542,1547,1548,1549,1550,1552,
1554,1562,1564,1566,1567,1568,1569,1570,1571,1577,1581,1582,1584,1586,1588,
1589,1590,1591,1592,1593,1594,1595,1602,1606,1607,1608,1609,1613,1614,1617,
1618,1626,1627,1628,1629,1630,1631,1632,1633,1639,1640,1642,1644,1645,1646,
1648,1653,1654,1655,1658,1659,1665,1666,1668,1669,1672,1674,1678,1680,1682,
1684,1685,1691,1694,1699,1702,1703,1704,1708,1709,1781,1790,1810,1811,1812,
1857,1858,1861,1862,1875,1881,1882,1889,1914,1915,1934,1937,1952,1955,2009,
2011,2086,2087,2093,2094,2097,2099,2103,2109,2128,2129,2131,2132,2133,2134,
2135,2136,2139,2140,2142,2143,2144,2145,2147,2149,2166,2167,2168,2169,2179,
2180,2208,2213,2304,2305,2311,2312,2322,2323,2324,2325,2326,2327,2328,2329,
2330,2331,2332,2333,2345,2346,2347,2348,2352,2353,2354,2355,2358,2360,2361,
2362,2363,2364,2365,2369,2370,2373,2374,2376,2377,2378,2379,2380,2381,2382,
2383,2384,2387,2394,2395,2396,2407,2409,2410,2412,2418,2420,2421,2422,2428,
2429,2430,2432,2433,2435,2436,2438,2439,2444,2445,2446,2447,2452,2453,2462,
2465,2532,2535,2536,2537,2567,2568,2569,2570,2580,2581,2582,2588,2589,2654,
2659,2758,2762,2770,2775,2782,2783,2784,2785,2787,2788,2793,2794,2799,2800,
2811,2812,2832,2833,2838,2839,2841,2842,2843,2844,2845,2848,2850,2852,2883,
2886,2887,2891,2902,2903,3024,3025,3026,3027,3047,3048,3049,3050,3096,3097,
3098,3099,3100,3101,3102,3103,3105,3106,3108,3158,3159,3160,3161,3162,3163,
3165,3166,3167,3170,3171,3193,3199,3200,3201,3204,3208,3210,3211,3212,3214,
3216,3217,3218,3229,3230,3236,3311,3312,3314,3315,3317,3319,3328,3329,3336,
3337,3346,3347,3348,3349,3371,3374,3375,3377,3378,3381,3382,3383,3387,3388,
3439,3442,3490,3491,3581,3610,3612,3613,3615,3623,3624,3625,3626,3634,3638,
3639,3646,3647,3665,3666,3681,3687,3692,3694,3696,3720,3764,3765,3781,3782,
3783,3784,3786,3787,3788,3789,3792,3793,3798,3799,3878,3879,3883,3884,3885,
3886,3887,3888,3953,3959,3960,3969,3970,3989,3990,4018,4072,4073,4125,4127,
4130,4131,4132,4133,4137,4138,4139,4140,4141,4142,4185,4224,4236,4293,4295,
4303,4304,4345,4346,4347,4419,4420,4421,4469],[1,2,3,4,5,6,9,10,11,12,13,16,19
,20,21,22,23,24,25,26,27,28,29,32,33,35,40,41,44,45,50,51,57,65,66,68,71,73,74
,75,76,77,79,82,85,86,87,88,91,92,99,100,101,103,107,108,113,114,116,118,130,
132,133,134,136,137,139,141,144,153,155,159,160,162,166,168,173,174,179,180,
182,183,185,189,190,195,199,200,201,206,209,215,218,219,221,236,237,239,240,
241,249,254,257,258,260,261,262,263,264,268,280,281,282,300,304,328,329,331,
332,346,347,352,361,363,366,369,381,382,383,405,414,415,416,418,419,420,423,
428,429,433,434,436,438,445,447,449,450,457,459,474,479,482,483,484,485,486,
487,500,507,509,521,522,528,536,554,556,557,559,560,561,569,576,582,586,592,
593,597,603,607,613,619,627,650,652,656,660,663,684,688,689,690,691,697,718,
719,720,722,742,743,769,778,799,800,809,814,828,849,852,857,876,878,880,881,
884,894,915,918,924,930,943,945,954,971,984,986,987,994,997,998,1007,1011,1017
,1021,1022,1039,1041,1058,1069,1078,1083,1092,1098,1115,1125,1126,1139,1156,
1163,1167,1168,1169,1202,1203,1225,1243,1254,1290,1291,1292,1343,1345,1351,
1353,1356,1361,1366,1370,1374,1376,1378,1390,1394,1436,1446,1449,1456,1463,
1512,1515,1538,1540,1541,1554,1562,1584,1606,1608,1614,1617,1628,1629,1632,
1642,1655,1666,1672,1721,1726,1752,1753,1778,1781,1782,1818,1819,1846,1851,
1852,1874,1875,1913,1934,1948,2009,2077,2078,2079,2080,2081,2082,2083,2166,
2168,2170,2175,2179,2181,2185,2197,2202,2208,2211,2216,2220,2226,2257,2294,
2311,2330,2352,2360,2364,2374,2377,2379,2387,2407,2418,2438,2527,2567,2596,
2650,2743,2744,2745,2746,2747,2748,2749,2873,2877,2880,2883,2887,2888,2892,
2895,2902,2922,2929,2935,2965,2977,2992,3047,3097,3115,3199,3203,3208,3214,
3221,3300,3301,3302,3404,3411,3417,3420,3434,3439,3447,3470,3496,3505,3517,
3584,3586,3590,3674,3687,3690,3703,3707,3713,3751,3850,3899,3930,3932,3934,
3983,4004,4008,4020,4166,4216,4250,4353,4356,4359,4424,4425,4427,4470],[1,2,4,
5,6,8,9,10,11,12,13,19,20,22,23,26,28,29,32,35,40,41,44,48,50,57,65,71,73,75,
76,77,87,107,108,118,120,121,130,132,136,139,140,141,143,144,145,147,148,153,
155,156,157,160,162,168,173,174,179,180,188,189,190,199,201,206,214,215,218,
221,261,262,263,281,331,366,369,381,386,405,414,416,420,428,429,439,440,442,
445,446,447,449,452,457,474,482,483,484,494,500,505,507,522,524,528,551,557,
559,560,569,613,616,629,643,650,742,848,849,857,865,866,867,868,873,911,918,
919,930,955,971,994,997,1033,1039,1040,1041,1045,1058,1059,1060,1067,1078,1079
,1080,1083,1098,1104,1126,1139,1183,1202,1206,1207,1208,1294,1343,1344,1356,
1361,1383,1512,1515,1552,1562,1564,1577,1584,1592,1606,1607,1642,1658,1752,
1797,1799,1801,1873,1874,1891,1944,1948,2097,2103,2166,2168,2179,2180,2185,
2294,2295,2300,2301,2304,2307,2350,2400,2407,2408,2418,2547,2567,2568,2770,
2783,2873,2875,2887,2888,2929,2946,2990,2992,2993,3004,3070,3186,3193,3214,
3308,3317,3417,3479,3656,3674,3675,3681,3777,3878,3981,4004,4120,4168,4278,
4311,4366,4396,4471],[1,2,4,5,6,7,8,9,10,12,13,14,19,20,22,23,26,28,29,32,35,
40,41,43,44,48,50,63,65,71,73,75,76,77,81,108,110,118,121,124,125,126,130,132,
136,139,140,141,142,143,145,146,147,150,151,153,154,155,156,158,159,160,161,
162,168,171,173,179,180,189,195,199,201,208,214,216,221,227,281,286,288,289,
339,366,369,387,393,405,408,414,416,423,429,433,439,441,443,445,446,447,449,
452,457,474,478,482,483,484,500,505,506,507,522,523,525,540,541,556,557,561,
574,613,615,631,644,651,764,848,849,857,860,861,862,863,865,866,869,870,871,
874,914,915,918,924,937,953,984,989,997,1033,1040,1041,1044,1046,1048,1060,
1062,1063,1068,1072,1077,1078,1080,1098,1103,1124,1144,1184,1202,1211,1213,
1214,1297,1343,1344,1357,1362,1384,1512,1515,1554,1566,1569,1578,1593,1595,
1607,1609,1642,1643,1664,1754,1798,1800,1802,1876,1884,1890,1946,1954,2099,
2105,2109,2166,2168,2179,2180,2187,2295,2296,2297,2298,2299,2305,2308,2309,
2351,2401,2403,2407,2414,2547,2569,2570,2775,2779,2877,2879,2885,2888,2931,
2945,2989,2999,3000,3003,3068,3186,3193,3215,3309,3319,3418,3478,3657,3676,
3679,3681,3779,3879,3982,4003,4122,4168,4280,4311,4367,4397,4472],[1,2,3,4,5,6
,7,8,9,10,12,13,15,16,17,19,20,21,22,23,26,28,29,30,31,32,33,34,35,36,37,38,39
,40,41,42,43,44,45,46,47,48,50,52,55,56,62,65,68,70,71,73,75,76,77,79,80,87,92
,106,107,108,109,118,121,124,125,126,130,131,132,135,136,139,140,141,142,145,
146,153,154,156,158,159,160,161,162,163,164,165,166,168,169,170,172,173,174,
175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,
194,195,197,198,199,200,201,203,204,205,208,209,210,213,214,216,231,232,262,
268,270,275,278,279,281,283,338,366,367,369,370,372,375,376,377,379,382,383,
384,386,387,388,390,391,393,394,397,398,401,402,405,408,409,410,414,416,424,
425,429,430,431,439,441,443,445,446,447,449,452,453,455,457,461,467,470,471,
474,475,480,481,482,483,484,486,487,488,489,491,496,497,498,499,500,502,504,
505,507,511,514,522,525,526,527,529,532,533,534,535,537,544,546,547,548,549,
550,551,552,553,554,555,557,558,560,561,562,564,570,574,575,578,580,581,582,
583,589,590,591,592,595,596,598,602,603,604,605,609,610,613,617,620,623,631,
647,651,653,655,658,659,661,664,761,848,849,857,860,861,862,863,866,869,878,
880,883,885,886,887,888,889,891,892,894,895,897,898,901,903,904,905,906,910,
914,916,918,921,922,923,926,927,928,931,933,935,936,937,938,940,942,943,944,
946,947,949,951,953,960,962,978,988,993,994,997,1028,1030,1032,1033,1035,1036,
1051,1053,1071,1073,1078,1080,1083,1085,1086,1087,1089,1098,1113,1127,1133,
1134,1135,1145,1160,1161,1162,1163,1164,1165,1166,1170,1172,1175,1181,1182,
1198,1202,1215,1216,1221,1227,1238,1245,1250,1256,1297,1302,1303,1307,1319,
1320,1322,1343,1344,1352,1354,1362,1364,1367,1368,1369,1371,1375,1377,1380,
1384,1512,1514,1515,1517,1519,1522,1523,1525,1526,1529,1536,1540,1553,1555,
1563,1566,1567,1569,1572,1575,1578,1581,1585,1588,1590,1592,1595,1596,1599,
1601,1607,1615,1619,1620,1621,1622,1624,1625,1626,1632,1634,1636,1637,1638,
1639,1640,1642,1645,1646,1649,1650,1651,1656,1660,1662,1663,1664,1670,1673,
1675,1676,1679,1681,1683,1687,1688,1690,1692,1700,1701,1705,1706,1710,1711,
1761,1805,1809,1881,1889,1999,2011,2093,2094,2099,2105,2131,2132,2134,2142,
2143,2144,2145,2149,2166,2168,2169,2178,2179,2180,2209,2210,2212,2213,2217,
2221,2227,2231,2237,2239,2313,2322,2323,2325,2326,2327,2329,2334,2338,2339,
2345,2347,2349,2356,2357,2371,2372,2380,2389,2395,2396,2407,2410,2412,2417,
2421,2422,2431,2434,2437,2442,2443,2448,2449,2450,2454,2463,2464,2547,2569,
2570,2762,2773,2779,2780,2793,2794,2803,2814,2838,2839,2842,2846,2849,2852,
2878,2884,2887,2888,2889,2891,2936,2948,3032,3049,3050,3104,3186,3193,3201,
3204,3205,3209,3211,3212,3215,3217,3218,3222,3313,3339,3350,3372,3376,3379,
3380,3388,3422,3478,3666,3681,3688,3689,3693,3694,3696,3704,3711,3714,3785,
3874,3879,3990,4022,4127,4133,4142,4168,4295,4310,4311,4367,4401,4431,4433,
4435,4473],[1,2,4,5,6,8,9,10,12,13,19,20,22,23,26,28,29,31,32,34,35,38,40,41,
42,44,46,48,50,51,65,71,73,74,75,76,77,101,108,118,120,121,130,132,136,139,140
,141,143,145,153,155,156,159,160,162,163,168,172,173,174,177,178,179,180,188,
189,190,195,197,199,201,204,206,208,212,214,215,219,221,258,280,281,282,332,
366,367,369,378,379,380,381,383,384,385,386,387,388,389,405,409,414,416,423,
429,433,439,440,442,445,446,447,448,449,452,454,457,464,471,474,479,482,483,
484,485,497,498,500,501,505,507,508,521,522,528,536,551,556,557,559,560,561,
562,569,574,576,586,593,595,597,607,609,613,619,629,645,650,652,656,660,663,
743,848,849,857,865,866,867,868,876,877,880,881,882,883,884,891,892,893,895,
906,911,915,918,919,924,927,929,930,942,945,946,947,955,958,961,984,987,997,
1027,1029,1031,1033,1034,1037,1041,1050,1069,1070,1078,1080,1081,1082,1098,
1111,1125,1126,1156,1167,1168,1169,1181,1202,1203,1225,1243,1254,1294,1295,
1305,1317,1318,1343,1344,1351,1353,1361,1366,1370,1374,1376,1378,1383,1512,
1513,1515,1518,1526,1527,1528,1535,1539,1552,1554,1562,1564,1566,1571,1577,
1584,1586,1592,1593,1602,1607,1613,1617,1618,1626,1627,1628,1629,1639,1642,
1644,1648,1654,1658,1665,1669,1672,1678,1680,1682,1684,1685,1691,1699,1704,
1708,1753,1804,1808,1875,1882,2009,2086,2087,2097,2103,2128,2129,2136,2139,
2140,2147,2166,2167,2168,2179,2180,2208,2211,2216,2220,2226,2230,2236,2238,
2311,2312,2330,2331,2332,2333,2345,2346,2352,2354,2370,2373,2376,2387,2394,
2407,2409,2418,2420,2430,2433,2436,2444,2446,2447,2465,2547,2567,2568,2758,
2770,2783,2787,2788,2799,2811,2832,2833,2841,2845,2850,2877,2883,2886,2888,
2935,2947,3047,3048,3103,3186,3193,3199,3200,3203,3208,3210,3214,3216,3221,
3311,3336,3347,3371,3378,3387,3420,3479,3665,3681,3687,3690,3692,3703,3707,
3713,3782,3873,3878,3989,4020,4125,4132,4141,4168,4293,4309,4311,4366,4399,
4430,4432,4434,4474],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,
23,24,25,26,28,29,30,32,35,38,40,41,44,50,51,52,53,54,55,56,57,58,59,60,61,62,
63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,82,87,89,90,91,92,94,95,100,
101,103,104,105,106,107,108,109,110,111,112,116,117,118,120,121,130,131,132,
135,136,139,141,144,145,148,152,153,155,156,157,160,162,168,169,170,171,173,
174,175,176,179,180,181,188,189,190,195,199,201,202,204,205,206,207,215,216,
218,221,222,223,224,225,226,228,229,230,231,232,233,234,236,237,239,242,243,
244,245,246,247,250,251,252,253,257,258,261,262,263,264,265,266,268,269,270,
271,272,273,274,275,278,279,281,283,284,285,286,287,290,291,292,293,294,295,
296,297,298,299,331,333,334,335,336,337,338,340,352,353,354,355,356,357,366,
369,378,379,381,383,386,387,405,417,420,421,422,423,424,425,426,427,428,429,
430,431,432,433,435,436,437,438,445,447,449,450,457,460,471,472,474,476,478,
482,483,484,485,490,492,494,497,500,502,507,510,521,522,524,528,529,531,532,
533,538,539,540,543,544,545,546,551,556,557,559,560,569,576,577,584,585,587,
588,589,593,600,606,607,612,613,615,616,618,619,620,625,626,629,650,651,652,
656,658,660,661,663,667,668,669,670,688,694,695,696,700,701,707,708,709,710,
711,718,722,727,730,731,732,735,737,742,750,751,752,753,754,756,757,758,759,
760,761,762,767,778,779,780,781,782,783,784,785,788,789,790,791,792,793,794,
795,835,836,841,842,849,852,857,866,867,868,873,881,884,906,911,918,919,924,
930,942,945,955,958,968,969,970,971,972,973,974,975,977,978,979,980,981,982,
983,984,990,995,996,999,1000,1002,1003,1006,1007,1008,1009,1010,1011,1012,1016
,1017,1018,1019,1020,1021,1022,1023,1024,1026,1038,1039,1041,1042,1043,1045,
1047,1051,1058,1059,1064,1065,1067,1069,1071,1072,1078,1083,1089,1090,1098,
1099,1103,1104,1115,1117,1119,1122,1126,1127,1128,1129,1130,1139,1141,1146,
1152,1154,1168,1179,1180,1183,1185,1186,1188,1196,1197,1202,1206,1207,1208,
1209,1213,1217,1225,1228,1231,1232,1236,1237,1242,1247,1252,1258,1259,1261,
1262,1270,1272,1283,1284,1294,1305,1317,1343,1356,1358,1359,1360,1366,1370,
1371,1373,1374,1376,1378,1379,1381,1387,1415,1417,1418,1419,1422,1423,1424,
1425,1426,1432,1446,1448,1450,1453,1454,1455,1469,1470,1471,1481,1486,1488,
1490,1506,1512,1515,1526,1527,1528,1533,1552,1562,1577,1579,1584,1585,1592,
1602,1603,1608,1609,1629,1642,1654,1658,1669,1685,1691,1704,1715,1716,1717,
1718,1719,1720,1728,1731,1732,1734,1735,1737,1739,1740,1741,1742,1743,1746,
1747,1749,1750,1757,1763,1764,1765,1775,1776,1777,1778,1779,1780,1787,1788,
1789,1810,1811,1812,1818,1824,1829,1840,1841,1844,1851,1855,1856,1857,1865,
1867,1871,1874,1877,1888,1889,1891,1897,1902,1908,1910,1925,1928,1944,1948,
1955,1956,1959,1960,1961,1962,1969,1970,1971,1973,1975,1978,1982,1984,1990,
1993,2008,2045,2054,2061,2066,2098,2103,2128,2147,2178,2179,2185,2186,2189,
2191,2192,2195,2197,2199,2201,2202,2206,2207,2215,2216,2218,2222,2223,2224,
2242,2268,2269,2271,2272,2281,2288,2294,2300,2301,2302,2307,2314,2330,2335,
2346,2350,2387,2398,2400,2403,2407,2408,2413,2417,2418,2425,2439,2446,2471,
2477,2479,2484,2490,2491,2493,2494,2496,2497,2501,2502,2516,2519,2520,2522,
2523,2567,2569,2573,2580,2585,2594,2606,2607,2610,2614,2622,2623,2638,2640,
2642,2643,2649,2667,2674,2679,2688,2689,2690,2691,2698,2700,2704,2707,2708,
2770,2783,2799,2845,2851,2873,2874,2876,2877,2878,2881,2899,2900,2901,2902,
2904,2905,2908,2911,2912,2915,2921,2922,2924,2928,2938,2960,2965,2966,2971,
2972,2984,2990,2992,3004,3005,3007,3012,3019,3021,3046,3053,3065,3070,3079,
3089,3092,3129,3130,3131,3143,3151,3208,3211,3221,3223,3226,3231,3232,3245,
3250,3252,3265,3266,3296,3308,3328,3371,3401,3402,3403,3414,3415,3425,3427,
3429,3430,3433,3434,3435,3438,3450,3453,3457,3458,3459,3460,3462,3490,3502,
3503,3517,3518,3521,3522,3523,3531,3536,3537,3555,3599,3674,3677,3680,3684,
3685,3701,3703,3715,3741,3757,3759,3761,3777,3811,3817,3820,3821,3823,3824,
3828,3840,3860,3883,3891,3893,3912,3913,3923,3995,3996,3997,4000,4008,4013,
4015,4023,4051,4057,4059,4060,4088,4093,4094,4134,4135,4162,4196,4197,4205,
4206,4215,4225,4239,4244,4261,4288,4323,4325,4327,4351,4378,4440,4475],[1,2,3,
4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,32,35,38
,40,41,44,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70,71,73,74
,75,76,77,79,80,81,82,87,88,89,90,91,92,93,94,95,100,101,103,104,105,106,107,
108,109,110,111,112,118,120,121,130,131,132,135,136,139,141,144,145,148,152,
153,155,156,157,158,159,160,161,162,168,169,170,171,173,174,175,176,179,180,
181,188,189,190,195,199,201,202,204,205,206,207,208,215,216,218,219,221,222,
223,224,225,226,227,228,229,230,231,232,233,234,236,237,239,240,241,242,243,
244,245,246,247,248,249,250,251,252,253,257,258,260,261,262,263,264,265,266,
267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,
286,287,288,289,290,291,292,293,294,295,296,297,298,299,331,332,333,334,335,
336,337,338,339,340,346,347,348,349,350,351,366,369,378,379,381,383,386,387,
405,414,415,416,417,420,421,422,423,424,425,426,427,428,429,430,431,432,433,
435,436,437,438,445,447,449,450,457,460,471,472,474,475,476,477,478,479,482,
483,484,485,490,491,492,493,494,497,498,500,502,507,510,521,522,523,524,525,
528,529,530,531,532,533,534,535,536,537,538,539,540,541,543,544,545,546,551,
556,557,559,560,561,569,570,571,572,574,576,577,578,579,583,584,585,586,587,
588,589,593,595,597,598,599,600,605,606,607,608,609,612,613,615,616,618,619,
620,621,629,650,651,652,656,658,660,661,663,665,667,668,669,670,688,689,690,
694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,734,
735,737,738,739,740,741,742,743,750,751,752,753,754,755,756,757,758,759,760,
761,762,763,764,765,766,767,769,770,771,772,773,774,775,776,777,784,785,786,
787,788,789,790,791,792,793,794,795,799,800,801,802,803,804,805,806,807,808,
809,810,811,812,857,866,867,868,873,876,880,881,884,895,906,911,915,918,919,
924,930,942,945,955,958,961,968,969,970,971,972,973,974,975,977,978,979,980,
981,982,983,984,986,987,988,989,990,991,992,993,994,995,996,997,999,1000,1002,
1003,1006,1007,1008,1009,1010,1011,1012,1016,1017,1018,1019,1020,1021,1022,
1023,1024,1038,1039,1041,1042,1043,1045,1046,1047,1051,1058,1059,1064,1065,
1066,1067,1068,1069,1071,1072,1078,1083,1089,1090,1098,1099,1103,1104,1115,
1117,1119,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1137,
1138,1139,1141,1142,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,
1156,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,
1181,1183,1184,1185,1186,1187,1188,1189,1191,1192,1193,1194,1195,1196,1197,
1198,1199,1200,1201,1202,1203,1206,1207,1208,1209,1210,1211,1212,1213,1214,
1217,1218,1219,1220,1221,1222,1223,1224,1225,1228,1229,1230,1231,1232,1234,
1235,1236,1237,1238,1239,1240,1241,1242,1243,1246,1247,1248,1249,1250,1251,
1252,1253,1254,1257,1258,1259,1260,1261,1262,1263,1264,1294,1305,1317,1343,
1351,1353,1356,1358,1359,1360,1361,1363,1366,1370,1371,1373,1374,1376,1378,
1379,1381,1387,1412,1413,1414,1415,1417,1418,1419,1421,1422,1423,1424,1425,
1426,1431,1432,1433,1445,1456,1457,1458,1459,1460,1461,1466,1467,1468,1472,
1473,1474,1475,1476,1477,1478,1479,1490,1491,1492,1497,1498,1499,1504,1505,
1512,1515,1526,1527,1528,1533,1552,1554,1562,1563,1566,1577,1579,1584,1585,
1592,1602,1603,1613,1617,1626,1627,1628,1629,1642,1648,1654,1658,1665,1669,
1672,1678,1680,1682,1684,1685,1691,1699,1704,1708,1715,1716,1717,1718,1719,
1720,1721,1722,1723,1724,1725,1726,1727,1728,1731,1732,1734,1735,1737,1739,
1740,1741,1742,1743,1746,1747,1749,1750,1752,1753,1754,1755,1756,1757,1758,
1759,1760,1761,1763,1764,1765,1775,1776,1777,1778,1779,1780,1781,1782,1783,
1784,1785,1786,1810,1811,1812,1818,1824,1829,1840,1841,1844,1851,1852,1855,
1856,1857,1858,1865,1866,1867,1870,1871,1872,1874,1875,1876,1877,1888,1889,
1890,1891,1897,1902,1908,1910,1913,1914,1918,1920,1921,1923,1924,1925,1927,
1928,1929,1930,1931,1932,1933,1934,1939,1940,1942,1943,1944,1945,1946,1948,
1950,1955,1956,1960,1961,1962,1963,1964,1968,1970,1971,1974,1975,1976,1977,
1978,1979,1981,1982,1983,1984,1985,1986,1987,1988,1993,1994,1995,1996,1997,
1998,1999,2000,2001,2002,2003,2004,2005,2006,2007,2008,2009,2012,2013,2014,
2015,2016,2017,2018,2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2033,
2034,2035,2036,2041,2042,2043,2044,2046,2047,2049,2050,2051,2052,2086,2103,
2128,2136,2166,2168,2178,2179,2185,2186,2189,2191,2192,2195,2197,2199,2201,
2202,2206,2207,2208,2211,2215,2216,2218,2219,2220,2222,2223,2224,2225,2226,
2242,2255,2266,2273,2274,2275,2287,2289,2290,2294,2300,2301,2302,2307,2309,
2311,2313,2314,2315,2330,2334,2335,2345,2346,2350,2352,2354,2370,2373,2387,
2389,2393,2398,2400,2403,2407,2408,2413,2417,2418,2425,2427,2430,2433,2436,
2444,2446,2447,2465,2471,2473,2474,2475,2477,2479,2484,2485,2486,2487,2488,
2489,2490,2491,2493,2494,2496,2497,2501,2502,2504,2505,2506,2507,2510,2511,
2512,2524,2525,2526,2527,2567,2569,2573,2580,2588,2594,2606,2607,2609,2610,
2614,2622,2623,2636,2637,2638,2640,2642,2643,2646,2647,2649,2650,2659,2660,
2661,2662,2664,2665,2667,2668,2669,2670,2677,2678,2681,2682,2683,2687,2688,
2689,2690,2691,2702,2710,2714,2718,2719,2721,2722,2724,2725,2727,2730,2770,
2783,2787,2799,2811,2845,2873,2874,2876,2877,2878,2880,2881,2883,2884,2885,
2887,2888,2889,2895,2896,2899,2900,2901,2902,2904,2905,2908,2911,2912,2915,
2917,2921,2922,2924,2928,2929,2930,2933,2934,2935,2937,2938,2939,2950,2965,
2966,2971,2972,2984,2989,2990,2992,2995,3004,3005,3007,3008,3012,3014,3015,
3019,3021,3030,3031,3032,3033,3044,3045,3046,3047,3052,3053,3056,3058,3061,
3064,3065,3066,3070,3071,3073,3074,3076,3078,3079,3083,3085,3089,3090,3092,
3095,3103,3127,3129,3134,3135,3136,3144,3145,3147,3148,3199,3203,3208,3211,
3214,3221,3226,3229,3231,3232,3245,3250,3252,3262,3270,3275,3283,3287,3288,
3290,3298,3308,3311,3336,3347,3371,3378,3401,3402,3403,3404,3405,3406,3407,
3408,3410,3411,3414,3415,3417,3418,3419,3420,3421,3422,3425,3427,3429,3430,
3433,3434,3435,3437,3438,3439,3440,3441,3444,3445,3447,3448,3450,3453,3454,
3455,3457,3458,3459,3460,3469,3470,3472,3490,3502,3503,3505,3510,3516,3521,
3522,3523,3527,3528,3531,3536,3537,3550,3554,3555,3556,3558,3560,3564,3565,
3568,3571,3572,3576,3579,3603,3674,3677,3680,3684,3685,3687,3690,3701,3703,
3705,3707,3710,3713,3715,3716,3717,3737,3757,3759,3761,3773,3777,3782,3811,
3812,3813,3815,3816,3817,3818,3819,3820,3821,3823,3824,3826,3828,3830,3831,
3833,3834,3835,3836,3837,3838,3841,3847,3848,3849,3850,3852,3853,3854,3859,
3860,3861,3883,3886,3891,3893,3907,3910,3921,3923,3927,3983,3984,3995,3996,
3997,4000,4001,4004,4008,4013,4015,4020,4023,4025,4027,4030,4032,4034,4051,
4053,4055,4060,4064,4068,4086,4088,4089,4092,4095,4096,4097,4098,4101,4108,
4135,4138,4154,4196,4197,4202,4203,4205,4206,4211,4212,4215,4216,4220,4230,
4231,4239,4248,4260,4288,4292,4298,4321,4323,4326,4327,4328,4329,4331,4333,
4337,4349,4378,4394,4416,4440,4441,4476],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16
,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,35,37,38,40,41,42,44,45,46,49
,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
,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,94,95,96,97,98,99,100,101,102
,103,104,105,106,107,108,109,110,111,112,113,114,115,118,120,121,130,131,132,
135,136,139,141,144,145,148,152,153,155,156,157,160,162,165,166,168,169,170,
171,172,173,174,175,176,179,180,181,182,183,184,185,186,187,188,189,190,192,
195,199,201,202,204,206,207,215,216,218,220,221,222,223,224,225,226,228,229,
230,231,232,233,234,235,236,237,238,242,243,244,245,247,250,251,254,255,256,
257,258,259,261,262,263,264,265,266,268,269,270,271,272,273,274,275,278,279,
281,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,
303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,
322,323,324,325,326,327,328,329,330,331,333,334,335,336,337,338,340,341,342,
343,344,345,366,369,372,378,379,380,381,382,383,386,387,388,389,391,392,405,
409,420,421,422,423,424,425,426,427,428,429,430,431,432,433,435,436,437,438,
445,447,449,450,451,457,459,460,469,471,472,474,476,478,482,483,484,485,490,
492,494,495,497,500,502,503,507,509,510,511,513,519,520,521,522,524,526,528,
529,531,532,533,538,539,540,542,543,544,545,546,549,551,552,553,554,555,556,
557,559,560,569,573,576,577,584,587,588,593,594,600,601,606,607,611,612,613,
614,615,616,618,619,622,624,629,650,651,652,653,655,656,658,659,660,661,663,
664,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,
684,685,686,687,688,691,692,693,694,695,696,700,701,707,708,709,710,711,712,
713,714,715,716,717,719,720,721,723,724,725,726,728,729,733,735,736,737,742,
744,745,746,747,748,749,750,751,752,753,754,756,757,758,759,760,761,762,767,
768,784,788,789,791,792,793,794,796,797,798,829,830,831,832,833,834,857,866,
867,868,873,877,878,879,881,884,885,887,889,890,894,906,911,918,919,923,924,
930,935,939,942,943,945,946,955,958,967,968,969,970,971,972,973,974,975,976,
977,978,979,980,981,982,983,984,985,999,1000,1001,1002,1003,1004,1005,1006,
1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,
1022,1023,1024,1025,1038,1039,1041,1042,1043,1045,1047,1051,1054,1055,1058,
1059,1064,1065,1067,1069,1071,1072,1078,1083,1084,1089,1090,1091,1092,1093,
1094,1098,1099,1100,1101,1102,1103,1104,1114,1115,1117,1119,1121,1122,1126,
1127,1128,1129,1130,1134,1136,1139,1141,1146,1152,1154,1157,1158,1159,1168,
1179,1180,1183,1186,1188,1190,1196,1197,1202,1204,1205,1206,1207,1208,1209,
1213,1217,1225,1226,1231,1232,1233,1236,1242,1244,1247,1252,1255,1258,1259,
1261,1265,1267,1268,1269,1271,1273,1274,1294,1300,1305,1317,1318,1343,1356,
1358,1359,1360,1366,1367,1368,1369,1370,1371,1373,1374,1375,1376,1377,1378,
1379,1380,1381,1387,1388,1390,1391,1392,1393,1395,1396,1397,1398,1399,1400,
1401,1402,1403,1406,1408,1409,1410,1411,1415,1416,1417,1418,1419,1420,1422,
1423,1424,1425,1426,1427,1428,1429,1430,1432,1434,1480,1482,1483,1484,1485,
1487,1489,1512,1515,1526,1527,1528,1532,1533,1552,1562,1577,1579,1580,1584,
1585,1588,1589,1592,1602,1603,1604,1625,1629,1630,1632,1633,1642,1646,1647,
1654,1658,1668,1669,1685,1691,1704,1714,1715,1716,1717,1718,1719,1720,1729,
1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,1745,
1746,1747,1748,1749,1750,1751,1762,1763,1764,1765,1766,1767,1768,1769,1770,
1771,1772,1773,1774,1775,1776,1777,1778,1779,1780,1810,1811,1812,1813,1815,
1817,1818,1819,1824,1825,1829,1838,1839,1840,1841,1844,1845,1846,1847,1850,
1851,1855,1856,1857,1865,1867,1871,1874,1877,1888,1889,1891,1892,1893,1894,
1895,1897,1899,1901,1902,1906,1907,1908,1909,1910,1922,1925,1926,1928,1944,
1948,1949,1955,1956,1957,1958,1961,1962,1965,1966,1967,1970,1971,1975,1978,
1980,1982,1984,1989,1991,1992,1993,2008,2010,2039,2053,2055,2056,2059,2090,
2103,2128,2130,2138,2139,2178,2179,2185,2186,2189,2190,2191,2192,2194,2195,
2197,2199,2200,2201,2202,2205,2206,2207,2215,2216,2217,2218,2222,2223,2224,
2240,2241,2242,2246,2248,2249,2250,2251,2252,2253,2254,2294,2300,2301,2302,
2307,2314,2330,2335,2342,2343,2344,2346,2350,2355,2387,2397,2398,2400,2403,
2407,2408,2411,2413,2417,2418,2421,2423,2425,2446,2471,2472,2476,2477,2478,
2479,2482,2483,2490,2491,2492,2493,2494,2495,2496,2497,2498,2499,2500,2501,
2502,2503,2508,2509,2513,2514,2515,2517,2518,2567,2569,2573,2576,2578,2580,
2584,2586,2594,2595,2596,2597,2598,2599,2600,2605,2606,2607,2610,2613,2614,
2616,2617,2618,2622,2623,2626,2628,2638,2639,2640,2642,2643,2644,2666,2667,
2685,2686,2688,2689,2690,2691,2694,2696,2697,2699,2709,2715,2716,2770,2783,
2789,2799,2843,2845,2873,2874,2876,2877,2878,2899,2900,2901,2902,2904,2905,
2907,2908,2910,2911,2912,2914,2915,2921,2922,2924,2925,2926,2927,2928,2938,
2951,2965,2966,2971,2972,2976,2977,2978,2982,2984,2987,2990,2992,3004,3005,
3006,3007,3011,3012,3018,3019,3021,3046,3051,3053,3065,3070,3079,3082,3089,
3092,3093,3124,3128,3129,3132,3133,3137,3138,3139,3140,3141,3142,3208,3209,
3211,3221,3222,3226,3231,3232,3234,3244,3245,3247,3249,3250,3252,3257,3258,
3268,3269,3272,3276,3277,3278,3279,3308,3348,3371,3400,3401,3402,3403,3413,
3414,3415,3416,3425,3426,3427,3428,3429,3430,3432,3433,3434,3435,3443,3450,
3452,3453,3457,3458,3459,3460,3461,3490,3493,3494,3495,3496,3497,3501,3502,
3503,3521,3522,3523,3530,3531,3533,3534,3536,3537,3541,3555,3562,3563,3570,
3575,3580,3602,3674,3677,3680,3684,3685,3701,3703,3704,3715,3733,3747,3757,
3759,3761,3776,3777,3780,3811,3820,3821,3822,3823,3824,3825,3827,3828,3829,
3845,3846,3856,3858,3860,3862,3883,3890,3891,3892,3893,3902,3903,3904,3905,
3915,3923,3924,3929,3995,3996,3997,3999,4000,4008,4013,4014,4015,4017,4019,
4023,4051,4058,4060,4062,4067,4071,4083,4087,4088,4090,4091,4107,4135,4145,
4152,4163,4196,4197,4205,4206,4208,4210,4214,4215,4227,4228,4239,4243,4245,
4264,4288,4322,4323,4327,4330,4334,4350,4378,4415,4440,4442,4477],[1,2,4,5,6,9
,10,11,12,13,19,20,22,23,24,26,28,29,31,32,35,40,42,44,48,49,50,51,57,65,71,73
,74,75,76,77,78,82,87,88,96,100,101,102,107,108,116,118,130,132,136,139,140,
141,144,153,155,163,168,172,173,174,177,178,189,199,206,212,215,218,219,221,
236,237,238,239,240,241,257,258,259,260,261,262,263,280,281,282,316,331,332,
346,347,352,358,362,366,369,380,381,405,414,429,439,445,446,447,448,449,450,
451,452,474,479,500,501,503,505,528,536,562,565,569,586,597,650,656,660,671,
687,688,689,690,716,717,718,742,743,769,778,799,800,809,813,821,848,849,857,
876,877,882,884,918,929,930,987,1027,1039,1041,1050,1058,1069,1070,1078,1080,
1081,1082,1083,1084,1115,1139,1156,1275,1335,1343,1344,1351,1361,1366,1388,
1389,1435,1446,1447,1456,1462,1512,1535,1539,1562,1584,1607,1617,1618,1817,
1818,1832,1845,1851,1852,1874,1875,1882,1913,1934,1948,2166,2167,2179,2180,
2208,2256,2294,2311,2376,2547,2548,2549,2567,2591,2595,2629,2631,2650,2883,
2886,2965,2976,2992,3185,3193,3199,3208,3214,3253,3493,3505,3517,3665,3681,
3687,3894,3978,3989,4168,4309,4447,4478],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,
17,19,21,22,23,24,25,26,28,29,31,32,33,35,40,41,42,44,45,48,49,50,51,52,54,55,
57,62,63,64,65,66,67,68,69,70,73,74,75,76,77,78,79,80,81,82,85,86,89,90,91,96,
99,100,101,102,103,104,105,108,109,110,113,114,118,130,132,136,139,140,141,144
,153,160,162,165,168,172,173,179,180,184,185,186,187,189,199,201,214,215,218,
220,228,229,232,233,234,236,237,238,242,243,244,245,247,254,255,257,258,259,
264,265,266,273,274,281,283,284,285,286,287,290,300,301,302,303,304,305,316,
326,327,328,329,330,336,340,343,344,366,369,380,381,382,383,405,414,416,429,
439,445,446,447,448,449,450,451,452,453,457,459,460,474,482,483,484,500,501,
502,503,504,505,507,509,510,522,549,557,565,613,650,652,663,667,671,684,685,
686,687,688,691,692,693,694,695,696,700,701,716,717,719,720,721,723,724,756,
767,768,784,788,796,829,848,849,857,876,877,878,879,880,881,918,939,945,997,
1033,1039,1047,1049,1051,1055,1058,1069,1070,1071,1072,1073,1074,1075,1076,
1078,1080,1084,1090,1091,1092,1093,1094,1098,1115,1117,1202,1282,1335,1343,
1344,1351,1353,1378,1388,1390,1391,1392,1393,1395,1408,1427,1432,1487,1489,
1512,1515,1535,1536,1537,1538,1607,1628,1630,1642,1817,1818,1819,1824,1832,
1841,1845,1846,1851,1855,1856,1857,1877,1887,1899,1902,1970,2164,2166,2167,
2168,2169,2179,2180,2220,2246,2294,2384,2407,2547,2548,2549,2567,2591,2592,
2595,2596,2597,2598,2617,2623,2645,2688,2715,2888,2890,2965,2966,2976,2977,
2984,3186,3187,3191,3193,3199,3203,3221,3260,3279,3493,3496,3497,3522,3533,
3665,3666,3681,3707,3903,3978,3991,4168,4195,4311,4447,4479],[1,2,3,4,5,6,9,10
,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,28,29,30,31,32,33,35,40,41,42,44
,45,48,50,51,52,53,54,55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80
,81,82,87,88,89,90,91,92,93,100,101,103,104,105,106,107,108,109,110,118,130,
131,132,135,136,139,140,141,153,155,156,157,158,159,160,161,162,163,165,166,
168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,
187,188,189,190,195,199,200,201,202,204,205,206,207,208,209,212,213,214,218,
219,221,227,228,229,230,231,232,233,234,236,237,239,240,241,242,243,244,245,
246,247,248,249,257,258,260,261,262,263,264,265,266,267,268,269,270,271,272,
273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,331,
332,336,337,338,339,340,346,347,350,351,366,369,380,381,382,383,405,414,415,
416,417,420,422,423,424,425,426,427,428,429,430,431,433,436,438,439,445,446,
447,448,449,452,453,457,474,475,476,477,478,479,480,481,482,483,484,485,486,
487,488,489,490,491,492,493,494,497,498,500,501,502,504,505,507,521,522,523,
524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,543,
544,545,546,547,548,549,550,551,552,553,554,555,556,557,559,560,561,562,569,
570,571,572,574,575,576,577,578,579,581,582,583,584,585,586,587,588,589,590,
591,592,593,595,597,598,599,600,602,603,604,605,606,607,608,609,612,613,615,
616,617,618,619,620,621,623,643,644,645,646,647,648,649,665,667,668,688,689,
690,694,695,696,697,698,699,700,701,702,703,704,734,737,740,741,742,743,755,
756,757,758,759,760,761,762,763,764,765,766,767,769,772,773,774,784,785,786,
787,788,799,800,801,802,803,804,805,806,809,810,811,812,848,849,852,857,876,
877,878,879,880,881,882,884,894,895,911,915,918,919,924,929,930,939,942,943,
945,954,955,958,961,968,969,971,977,978,979,980,981,982,983,984,986,987,988,
989,990,991,992,993,994,997,1000,1003,1006,1007,1011,1012,1016,1017,1019,1020,
1021,1022,1027,1028,1033,1039,1040,1041,1045,1046,1047,1048,1049,1050,1051,
1053,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,
1080,1081,1082,1083,1085,1086,1089,1098,1103,1104,1115,1116,1117,1118,1119,
1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1137,
1138,1139,1140,1142,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,
1155,1156,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,
1173,1174,1175,1176,1177,1178,1179,1180,1181,1183,1184,1185,1186,1187,1188,
1189,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1206,
1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,
1222,1223,1224,1225,1227,1228,1229,1230,1231,1232,1234,1235,1236,1237,1238,
1239,1240,1241,1242,1243,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,
1256,1257,1258,1259,1260,1261,1262,1263,1264,1336,1337,1338,1339,1340,1341,
1342,1343,1344,1413,1414,1417,1431,1432,1433,1456,1457,1458,1459,1460,1461,
1467,1468,1492,1512,1515,1535,1536,1537,1538,1539,1540,1541,1542,1552,1554,
1562,1563,1584,1585,1606,1607,1608,1609,1613,1614,1617,1618,1626,1627,1628,
1629,1630,1631,1632,1633,1642,1648,1653,1654,1655,1658,1659,1665,1666,1668,
1669,1672,1674,1678,1680,1682,1684,1685,1691,1694,1699,1702,1703,1704,1708,
1709,1715,1719,1721,1722,1723,1724,1725,1726,1732,1735,1739,1742,1743,1752,
1753,1754,1755,1759,1760,1761,1775,1776,1777,1778,1781,1782,1783,1784,1797,
1798,1803,1804,1805,1806,1807,1840,1841,1842,1843,1851,1852,1853,1854,1855,
1856,1857,1858,1859,1860,1861,1862,1863,1864,1866,1867,1870,1871,1872,1873,
1874,1875,1876,1877,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,
1889,1890,1891,1910,1911,1912,1913,1914,1915,1916,1917,1918,1920,1921,1923,
1924,1925,1927,1928,1929,1930,1931,1932,1933,1934,1935,1936,1937,1938,1939,
1942,1943,1944,1945,1946,1947,1948,1950,1952,1953,1954,1955,1960,1961,1962,
1963,1964,1968,1970,1972,1974,1975,1976,1977,1978,1979,1981,1982,1983,1984,
1985,1986,1987,1988,1993,1994,1995,1996,1997,1998,1999,2000,2001,2002,2003,
2004,2005,2006,2007,2008,2009,2011,2012,2013,2014,2015,2016,2017,2018,2022,
2023,2024,2025,2026,2027,2028,2029,2030,2031,2033,2034,2035,2036,2041,2042,
2043,2044,2046,2047,2049,2050,2051,2052,2165,2166,2167,2168,2169,2178,2179,
2180,2274,2304,2305,2307,2309,2311,2313,2314,2315,2330,2334,2352,2353,2354,
2355,2358,2360,2361,2362,2363,2364,2365,2369,2370,2373,2374,2376,2377,2378,
2379,2380,2381,2382,2383,2384,2387,2389,2393,2398,2400,2403,2407,2408,2413,
2417,2418,2425,2427,2428,2429,2430,2432,2433,2435,2436,2438,2439,2444,2445,
2446,2447,2452,2453,2462,2465,2473,2474,2488,2489,2491,2506,2507,2524,2525,
2526,2527,2547,2551,2552,2562,2563,2564,2565,2566,2609,2610,2611,2612,2640,
2641,2647,2648,2650,2651,2652,2653,2654,2655,2656,2657,2658,2659,2660,2661,
2662,2664,2665,2667,2668,2669,2670,2671,2681,2682,2683,2687,2688,2692,2693,
2702,2710,2714,2718,2719,2721,2722,2724,2725,2727,2730,2873,2875,2876,2877,
2878,2879,2880,2881,2882,2883,2884,2885,2886,2887,2888,2889,2890,2891,2902,
2903,2989,2990,3007,3008,3014,3015,3024,3025,3026,3027,3030,3031,3032,3033,
3044,3045,3046,3047,3052,3053,3056,3058,3061,3064,3065,3066,3070,3071,3073,
3074,3076,3078,3079,3083,3085,3089,3090,3092,3095,3096,3097,3098,3099,3100,
3101,3102,3103,3105,3106,3108,3144,3186,3192,3193,3283,3290,3291,3401,3402,
3404,3405,3406,3407,3408,3409,3411,3412,3415,3417,3418,3419,3420,3421,3422,
3423,3424,3433,3434,3436,3437,3439,3440,3442,3447,3448,3449,3527,3528,3550,
3554,3555,3556,3558,3560,3564,3565,3568,3571,3572,3576,3579,3581,3656,3657,
3662,3665,3666,3681,3812,3813,3819,3821,3836,3837,3841,3847,3848,3849,3850,
3851,3927,3980,3981,3982,3989,3990,3991,3994,4018,4097,4168,4198,4199,4200,
4201,4224,4226,4229,4309,4310,4311,4339,4396,4397,4398,4399,4400,4401,4402,
4448,4449,4450,4451,4452,4453,4454,4480],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,
16,17,18,19,20,21,22,23,24,25,28,29,31,32,33,35,36,39,40,41,42,44,45,46,47,49,
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,
101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,120,
121,127,129,139,141,144,145,146,148,149,150,152,153,155,156,157,160,162,165,
166,167,168,172,173,174,179,180,182,183,184,185,186,187,188,189,190,196,198,
199,201,206,207,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,
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,
366,369,380,381,382,386,388,389,404,405,409,445,447,449,450,451,457,459,460,
461,462,463,465,466,470,474,479,482,483,484,485,494,500,502,503,507,509,510,
511,513,514,515,516,517,518,519,520,521,522,524,526,528,536,549,551,552,553,
554,555,556,557,559,560,563,569,573,576,577,586,593,597,607,608,611,613,616,
618,619,622,625,629,635,639,665,666,667,668,669,670,671,672,673,674,675,676,
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,
829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,849,
852,857,866,867,868,873,875,876,877,878,879,884,894,911,918,919,930,939,943,
946,955,1039,1041,1042,1043,1045,1047,1051,1054,1055,1056,1057,1058,1059,1061,
1062,1064,1065,1067,1069,1071,1072,1078,1083,1084,1089,1090,1091,1092,1093,
1094,1098,1099,1100,1101,1102,1104,1106,1107,1108,1109,1110,1112,1113,1115,
1117,1125,1126,1134,1139,1141,1156,1167,1168,1169,1183,1185,1191,1192,1202,
1203,1206,1207,1208,1217,1225,1226,1231,1232,1233,1243,1246,1254,1263,1264,
1266,1270,1271,1280,1288,1294,1318,1331,1387,1388,1389,1390,1391,1392,1393,
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,
1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,1512,1515,1538,
1539,1541,1552,1562,1577,1579,1580,1584,1588,1589,1592,1605,1608,1609,1613,
1617,1630,1632,1633,1642,1646,1647,1648,1658,1668,1793,1817,1818,1819,1820,
1821,1822,1823,1824,1827,1828,1838,1839,1840,1841,1844,1845,1846,1847,1848,
1849,1850,1851,1852,1855,1856,1857,1858,1865,1874,1875,1876,1877,1888,1889,
1891,1892,1893,1894,1895,1897,1899,1900,1901,1902,1903,1905,1906,1907,1908,
1909,1910,1913,1914,1922,1925,1934,1939,1940,1944,1948,1949,1955,1956,1957,
1958,1970,1971,1973,1981,1988,1990,2009,2017,2032,2036,2044,2045,2052,2060,
2062,2063,2064,2065,2067,2068,2069,2076,2086,2103,2139,2147,2240,2241,2242,
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,
2288,2289,2290,2291,2292,2294,2300,2301,2302,2303,2307,2311,2330,2350,2355,
2362,2363,2370,2379,2382,2387,2397,2398,2400,2407,2408,2418,2421,2439,2541,
2594,2595,2596,2597,2598,2599,2600,2601,2602,2603,2604,2606,2607,2608,2609,
2610,2613,2614,2616,2617,2618,2619,2620,2621,2622,2623,2624,2627,2636,2637,
2638,2639,2640,2642,2643,2644,2646,2647,2649,2650,2659,2660,2661,2670,2673,
2677,2678,2679,2681,2687,2688,2689,2690,2691,2703,2706,2708,2709,2715,2716,
2717,2726,2731,2732,2733,2734,2735,2736,2737,2738,2742,2770,2783,2833,2843,
2949,2950,2951,2952,2953,2954,2955,2956,2957,2958,2959,2960,2961,2962,2963,
2965,2966,2976,2977,2978,2981,2984,2987,2990,2992,3004,3005,3006,3011,3012,
3047,3053,3056,3061,3064,3070,3082,3096,3155,3244,3245,3246,3247,3249,3250,
3252,3258,3262,3263,3265,3266,3268,3269,3270,3272,3273,3274,3275,3276,3277,
3278,3279,3280,3281,3287,3288,3290,3298,3299,3308,3311,3328,3348,3489,3493,
3494,3495,3496,3497,3502,3503,3504,3505,3510,3517,3518,3521,3522,3523,3533,
3534,3536,3537,3541,3549,3571,3580,3632,3731,3733,3734,3735,3736,3737,3738,
3741,3745,3747,3748,3757,3776,3777,3786,3891,3892,3893,3894,3899,3900,3901,
3902,3903,3904,3905,3907,3910,3912,3913,3915,3916,3921,3923,3924,4046,4047,
4051,4052,4055,4057,4062,4063,4152,4154,4155,4156,4158,4159,4162,4163,4239,
4240,4245,4247,4308,4313,4349,4350,4351,4407,4423,4456,4481],[1,2,3,4,5,6,8,9,
10,11,12,13,14,15,16,17,19,20,21,22,23,26,27,28,29,30,31,32,33,35,37,38,40,41,
42,44,45,46,50,51,52,53,54,55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,76,77,
79,80,81,87,92,101,106,107,108,109,110,118,120,121,130,131,132,134,135,136,139
,140,141,143,144,145,147,153,155,156,160,162,165,166,168,169,170,171,172,173,
174,175,176,179,180,182,183,184,185,186,187,188,189,190,192,195,201,206,215,
216,218,221,228,229,230,231,232,233,234,258,261,262,263,268,269,270,271,272,
275,278,279,281,283,284,285,286,287,290,331,337,338,340,366,369,372,378,379,
380,381,382,383,386,387,388,389,390,391,392,405,409,414,416,420,422,423,424,
425,426,427,428,429,430,431,433,436,438,445,446,448,449,452,453,457,458,464,
476,478,484,485,500,501,502,504,505,507,508,510,511,512,521,522,526,528,529,
531,532,533,538,539,540,549,551,552,553,554,555,556,557,559,560,569,576,584,
593,600,607,615,619,627,629,650,651,652,653,655,656,658,659,660,661,663,664,
667,668,737,742,757,758,759,760,761,762,767,848,849,857,865,866,867,868,876,
877,878,879,880,881,884,885,887,889,890,894,895,903,906,911,918,919,923,924,
930,935,939,942,943,945,946,968,969,971,977,978,979,980,981,982,983,984,994,
997,1000,1003,1006,1007,1011,1012,1016,1017,1019,1020,1021,1022,1038,1039,1040
,1041,1047,1049,1051,1053,1058,1060,1069,1070,1071,1072,1073,1074,1075,1076,
1078,1079,1080,1083,1085,1086,1089,1097,1103,1122,1126,1130,1134,1139,1146,
1152,1154,1168,1209,1213,1225,1242,1252,1290,1291,1294,1296,1300,1305,1317,
1318,1343,1344,1345,1349,1353,1356,1357,1361,1366,1367,1368,1369,1370,1371,
1374,1375,1376,1377,1378,1380,1417,1515,1516,1518,1535,1536,1537,1538,1540,
1552,1562,1564,1571,1584,1585,1587,1588,1589,1592,1593,1602,1606,1607,1625,
1626,1627,1628,1629,1630,1632,1633,1642,1644,1646,1668,1669,1715,1719,1732,
1735,1739,1742,1743,1752,1775,1776,1777,1778,1810,1811,1812,1813,1814,1815,
1816,1840,1841,1842,1873,1874,1877,1878,1879,1880,1881,1887,1888,1889,1902,
1904,1910,1948,1955,2008,2080,2082,2083,2090,2092,2097,2103,2127,2128,2130,
2136,2138,2139,2141,2147,2166,2167,2168,2169,2178,2179,2180,2185,2186,2187,
2188,2192,2193,2196,2197,2198,2202,2203,2204,2211,2216,2217,2294,2295,2304,
2314,2316,2319,2320,2330,2332,2354,2355,2377,2380,2381,2384,2387,2394,2403,
2406,2413,2416,2418,2421,2491,2567,2568,2569,2576,2577,2578,2579,2580,2581,
2582,2583,2584,2586,2587,2610,2612,2640,2749,2759,2770,2789,2791,2834,2835,
2841,2843,2845,2850,2873,2875,2876,2877,2878,2887,2888,2890,2891,2902,2905,
2906,2908,2909,2912,2913,2918,2919,2920,2921,2922,2923,2929,2984,2986,2992,
2993,3001,3024,3040,3046,3115,3116,3193,3202,3203,3208,3209,3210,3211,3214,
3216,3221,3222,3224,3225,3227,3228,3234,3235,3236,3317,3347,3348,3385,3401,
3402,3415,3417,3424,3433,3434,3450,3451,3490,3537,3538,3584,3585,3586,3587,
3589,3590,3665,3666,3674,3675,3676,3681,3690,3691,3703,3704,3721,3793,3821,
3878,3883,3889,3890,3932,3933,3934,3981,3990,3991,3997,3998,4004,4007,4008,
4009,4010,4079,4126,4130,4132,4141,4144,4145,4198,4206,4207,4250,4252,4253,
4254,4255,4278,4294,4302,4356,4358,4364,4385,4457,4482],[1,2,4,5,6,8,9,10,11,
12,13,14,19,20,22,23,25,26,27,28,29,32,35,38,40,41,43,44,50,57,63,65,71,73,75,
76,77,81,87,89,93,103,107,108,110,118,120,121,130,132,134,136,139,140,141,143,
144,145,147,153,155,156,158,159,160,162,168,171,173,174,179,180,188,189,190,
194,195,201,204,205,206,208,215,216,218,221,227,242,246,247,248,249,261,262,
263,265,267,281,286,288,289,331,339,350,351,366,369,378,379,381,383,386,387,
390,405,407,408,414,416,417,420,423,428,429,433,436,438,445,446,449,452,457,
460,464,468,471,477,478,484,485,497,498,500,505,506,507,522,523,528,540,541,
551,556,557,559,560,561,569,570,571,572,574,585,593,595,599,607,609,615,621,
627,629,650,651,652,656,658,660,661,663,695,698,703,742,764,773,801,802,810,
848,849,852,857,865,866,867,868,881,884,903,906,911,915,918,919,924,925,926,
930,937,938,945,958,961,971,984,989,990,994,997,1007,1011,1017,1021,1022,1038,
1039,1040,1041,1048,1058,1060,1072,1077,1078,1079,1080,1083,1096,1103,1117,
1118,1124,1126,1139,1144,1151,1153,1155,1168,1181,1210,1213,1223,1241,1251,
1290,1291,1293,1294,1296,1305,1317,1343,1344,1345,1349,1353,1354,1356,1357,
1361,1362,1366,1370,1371,1374,1376,1378,1457,1515,1518,1526,1527,1528,1552,
1554,1562,1563,1564,1565,1566,1584,1592,1593,1606,1607,1608,1609,1629,1634,
1642,1643,1678,1680,1682,1684,1685,1722,1725,1752,1754,1778,1783,1784,1810,
1811,1812,1824,1830,1855,1858,1860,1863,1873,1874,1876,1884,1914,1915,1938,
1939,1948,1954,2004,2080,2082,2083,2097,2098,2103,2110,2116,2120,2127,2128,
2147,2166,2168,2179,2180,2185,2187,2196,2197,2202,2203,2211,2212,2216,2294,
2295,2304,2305,2315,2321,2330,2332,2345,2390,2393,2403,2405,2414,2418,2428,
2429,2430,2438,2439,2524,2567,2568,2569,2574,2575,2580,2581,2582,2585,2656,
2660,2749,2770,2799,2809,2811,2816,2820,2850,2851,2873,2875,2877,2879,2881,
2885,2887,2888,2896,2898,2902,2903,2922,2923,2929,2931,2966,2970,2992,2993,
3000,3034,3045,3106,3115,3116,3193,3203,3205,3208,3210,3211,3214,3215,3220,
3221,3223,3233,3236,3317,3328,3336,3363,3405,3408,3417,3418,3434,3436,3440,
3448,3466,3469,3490,3510,3512,3584,3585,3586,3590,3674,3675,3676,3681,3690,
3693,3702,3703,3722,3798,3848,3878,3881,3882,3883,3932,3934,3935,3981,3982,
3984,3986,4003,4004,4008,4009,4012,4018,4079,4129,4130,4132,4134,4143,4218,
4220,4226,4250,4252,4253,4278,4287,4290,4356,4357,4362,4382,4457,4483],[1,2,4,
5,6,8,9,10,11,12,13,19,20,22,23,24,26,27,28,29,31,32,34,35,38,40,41,42,44,46,
50,51,57,65,71,73,74,75,76,77,82,87,88,100,101,107,108,118,120,121,130,132,134
,136,139,140,141,143,144,145,147,153,155,156,160,162,163,168,172,173,174,177,
178,179,180,188,189,190,197,199,200,201,206,209,215,216,218,219,221,236,237,
239,240,241,257,258,260,261,262,263,280,281,282,331,332,346,347,366,367,369,
378,379,380,381,384,385,386,387,388,389,405,409,414,415,416,418,420,423,428,
429,433,436,438,445,446,447,448,449,450,452,454,455,456,457,464,474,479,480,
481,482,483,484,485,500,501,505,507,508,521,522,528,536,551,556,557,559,560,
562,569,575,576,586,592,593,597,604,607,613,619,627,629,650,651,656,658,660,
661,688,689,690,742,743,769,799,800,809,848,849,857,865,866,867,868,876,877,
882,883,884,891,892,893,906,911,918,919,927,929,930,946,947,954,955,971,984,
986,987,994,997,1007,1011,1017,1021,1022,1038,1039,1040,1041,1050,1058,1060,
1069,1070,1078,1079,1080,1081,1082,1083,1098,1111,1115,1116,1125,1126,1139,
1140,1156,1160,1167,1168,1169,1202,1203,1225,1243,1254,1290,1291,1294,1295,
1305,1317,1318,1343,1344,1345,1349,1351,1352,1356,1357,1361,1364,1366,1371,
1456,1512,1513,1514,1515,1518,1535,1539,1552,1562,1564,1567,1568,1571,1577,
1584,1586,1592,1593,1606,1607,1613,1614,1617,1618,1639,1642,1644,1648,1653,
1658,1659,1721,1726,1752,1753,1778,1781,1782,1810,1811,1812,1818,1826,1851,
1852,1853,1854,1873,1874,1875,1882,1912,1913,1934,1935,1947,1948,2009,2077,
2079,2080,2086,2087,2097,2103,2128,2129,2136,2139,2140,2147,2166,2167,2168,
2170,2177,2179,2180,2185,2187,2196,2197,2202,2203,2208,2213,2294,2295,2304,
2311,2312,2329,2330,2331,2332,2333,2358,2360,2361,2369,2370,2376,2387,2394,
2407,2409,2418,2420,2527,2567,2568,2569,2580,2581,2582,2588,2589,2650,2651,
2743,2758,2770,2782,2783,2787,2788,2832,2833,2841,2850,2873,2875,2877,2880,
2882,2883,2886,2887,2888,2895,2897,2902,2922,2923,2929,2932,2965,2967,2992,
2993,2994,3026,3047,3048,3115,3116,3193,3199,3200,3201,3208,3210,3211,3214,
3216,3217,3229,3230,3236,3311,3312,3317,3387,3404,3409,3411,3417,3420,3434,
3439,3447,3470,3471,3490,3505,3506,3584,3585,3665,3674,3675,3676,3681,3687,
3692,3694,3720,3764,3850,3878,3883,3885,3886,3930,3931,3981,3983,3985,3987,
3989,3994,4004,4005,4008,4009,4079,4125,4130,4132,4137,4138,4141,4200,4216,
4221,4250,4252,4253,4278,4293,4303,4353,4354,4363,4380,4457,4484],[1,2,3,4,5,6
,7,8,9,10,12,13,14,15,16,17,19,20,21,22,23,24,26,27,28,29,31,32,33,34,35,36,38
,39,40,41,42,44,45,46,47,50,52,55,56,62,63,65,68,70,71,73,74,75,76,77,79,80,81
,87,88,90,92,100,101,106,107,108,109,110,118,121,124,125,126,130,132,134,136,
139,140,143,145,146,147,150,155,156,159,162,163,165,166,172,173,174,177,178,
179,180,182,183,184,185,186,187,188,189,190,195,197,198,199,200,204,206,208,
209,215,216,221,227,231,232,237,240,241,243,245,246,248,260,262,266,268,270,
272,275,278,279,281,282,283,285,286,287,288,289,331,332,338,339,346,347,351,
366,367,369,370,375,376,377,379,382,383,384,386,387,388,393,394,397,398,401,
402,405,409,410,414,415,416,418,420,423,428,429,433,436,438,445,446,448,449,
452,453,454,455,456,461,463,470,471,479,480,481,483,486,487,488,489,497,498,
500,502,504,505,511,514,526,527,547,548,549,550,551,552,553,554,555,556,560,
561,562,574,575,576,581,582,586,590,591,592,595,602,603,604,607,609,617,623,
627,631,650,651,656,658,660,661,690,699,700,704,757,761,763,764,772,801,804,
805,806,809,811,848,849,865,866,869,870,871,878,880,883,891,892,894,895,897,
898,901,904,906,910,915,918,924,927,928,942,943,946,947,949,954,955,971,984,
986,987,994,997,1007,1011,1017,1021,1022,1038,1040,1041,1048,1051,1053,1060,
1062,1071,1072,1073,1076,1077,1078,1080,1081,1083,1085,1086,1087,1089,1113,
1115,1116,1134,1135,1139,1140,1144,1160,1161,1162,1163,1164,1165,1166,1167,
1181,1215,1216,1227,1245,1256,1290,1291,1297,1302,1303,1307,1319,1320,1322,
1343,1344,1347,1348,1349,1351,1352,1356,1357,1361,1364,1366,1371,1461,1513,
1514,1517,1526,1529,1536,1540,1554,1566,1567,1569,1570,1571,1581,1582,1588,
1590,1592,1593,1595,1607,1609,1613,1614,1626,1632,1639,1640,1645,1646,1654,
1655,1665,1666,1721,1726,1752,1753,1778,1781,1782,1810,1811,1812,1826,1828,
1852,1853,1856,1859,1864,1876,1878,1881,1883,1884,1889,1912,1913,1916,1936,
1937,1939,1953,1954,1955,2011,2077,2079,2080,2093,2094,2099,2109,2131,2132,
2134,2142,2143,2144,2145,2149,2167,2168,2169,2173,2174,2177,2179,2180,2185,
2187,2196,2197,2202,2203,2208,2213,2295,2296,2305,2322,2323,2325,2326,2327,
2329,2331,2345,2347,2358,2363,2365,2373,2374,2380,2395,2396,2410,2412,2421,
2422,2527,2568,2569,2570,2580,2581,2582,2588,2589,2655,2658,2661,2743,2762,
2775,2784,2785,2793,2794,2838,2839,2842,2852,2875,2877,2879,2880,2882,2886,
2887,2890,2891,2895,2897,2903,2922,2923,2929,2932,2967,2969,3000,3001,3002,
3003,3027,3049,3050,3115,3116,3193,3200,3201,3204,3210,3211,3212,3216,3217,
3218,3229,3230,3236,3314,3315,3319,3388,3409,3411,3412,3423,3424,3436,3442,
3449,3470,3471,3491,3509,3511,3584,3585,3666,3675,3676,3679,3681,3692,3694,
3696,3720,3765,3851,3879,3884,3887,3888,3930,3931,3982,3985,3987,3988,3990,
3994,4006,4007,4011,4012,4079,4127,4131,4133,4139,4140,4142,4201,4222,4223,
4251,4252,4253,4280,4295,4304,4354,4355,4363,4381,4458,4485],[1,2,3,4,5,6,8,9,
10,11,12,13,16,21,22,24,25,26,27,28,29,30,32,33,35,37,40,41,43,44,45,50,51,57,
66,68,73,74,82,85,86,91,99,100,101,103,113,114,118,120,121,130,132,133,134,136
,137,139,141,144,145,148,153,155,156,157,159,160,162,166,168,173,174,175,181,
182,183,185,189,193,199,202,206,207,208,215,216,217,218,236,237,254,257,258,
264,300,304,328,329,366,369,372,381,382,383,386,387,390,391,392,405,407,408,
414,415,418,419,420,428,429,434,445,447,450,459,469,474,479,490,495,500,507,
509,521,522,524,528,536,542,544,554,569,574,576,577,586,594,597,601,612,614,
618,619,624,627,629,650,651,652,654,656,657,660,662,663,684,688,691,719,720,
852,857,866,867,868,873,876,878,884,887,894,905,911,915,918,921,930,937,938,
940,941,942,943,945,955,961,971,986,987,998,1038,1039,1045,1058,1059,1067,1069
,1092,1115,1156,1158,1190,1196,1204,1217,1225,1231,1232,1268,1273,1290,1291,
1292,1293,1294,1296,1300,1317,1343,1345,1351,1355,1356,1358,1360,1361,1362,
1363,1365,1366,1372,1378,1379,1390,1512,1532,1541,1562,1566,1577,1579,1584,
1602,1604,1608,1617,1632,1637,1642,1658,1665,1669,1672,1678,1699,1708,1712,
1721,1810,1814,1816,1818,1819,1825,1846,1851,1925,1926,1966,1991,2053,2077,
2078,2079,2080,2081,2090,2095,2103,2116,2120,2122,2136,2141,2148,2166,2170,
2175,2179,2181,2185,2189,2195,2208,2214,2225,2226,2294,2300,2301,2307,2311,
2343,2350,2379,2387,2398,2465,2468,2469,2470,2567,2569,2571,2573,2574,2587,
2588,2596,2694,2743,2744,2746,2747,2748,2768,2783,2810,2811,2822,2836,2845,
2873,2880,2883,2892,2895,2939,2965,2977,2982,3012,3018,3053,3093,3115,3117,
3118,3119,3122,3123,3199,3206,3208,3213,3214,3215,3219,3221,3231,3239,3302,
3308,3343,3378,3404,3490,3496,3562,3584,3588,3591,3592,3593,3596,3674,3677,
3685,3687,3695,3705,3713,3716,3757,3780,3810,3881,3886,3889,3930,3936,3983,
4025,4058,4080,4135,4149,4250,4258,4298,4353,4359,4408,4425,4459,4461,4486],[1
,2,4,5,6,8,9,10,11,12,13,19,20,22,23,24,26,27,28,29,32,35,38,40,41,43,44,50,51
,57,65,71,73,74,75,76,77,82,87,88,100,101,107,108,118,120,121,130,132,134,136,
139,141,144,145,148,153,155,156,157,159,160,162,168,173,174,179,180,188,189,
190,194,195,199,201,204,206,207,208,215,216,217,218,219,221,236,237,239,240,
241,257,258,260,261,262,263,280,281,282,331,332,346,347,366,369,378,379,381,
383,386,387,390,405,407,408,414,415,416,418,420,423,428,429,433,436,438,445,
447,449,450,457,471,474,479,482,483,484,485,494,497,498,500,507,521,522,524,
528,536,551,556,557,559,560,561,569,574,576,577,586,593,595,597,607,608,609,
613,616,618,619,627,629,650,651,652,654,656,658,660,661,663,688,689,690,742,
743,769,799,800,809,857,866,867,868,873,876,880,881,884,895,903,906,911,915,
918,919,924,925,926,930,937,938,942,945,955,958,961,971,984,986,987,994,997,
1007,1011,1017,1021,1022,1038,1039,1041,1045,1058,1059,1067,1069,1078,1083,
1098,1104,1115,1125,1126,1139,1156,1167,1168,1169,1181,1183,1185,1191,1192,
1202,1203,1206,1207,1208,1217,1225,1231,1232,1243,1246,1254,1263,1264,1290,
1291,1293,1294,1296,1305,1317,1343,1345,1351,1353,1354,1356,1358,1360,1361,
1362,1363,1365,1366,1370,1371,1373,1374,1376,1378,1379,1381,1456,1512,1515,
1526,1527,1528,1552,1554,1562,1566,1577,1579,1584,1592,1602,1613,1617,1626,
1627,1628,1629,1634,1642,1648,1654,1658,1665,1669,1672,1678,1680,1682,1684,
1685,1691,1699,1704,1708,1712,1721,1726,1752,1753,1778,1781,1782,1810,1811,
1812,1814,1816,1818,1851,1852,1874,1875,1891,1913,1925,1934,1944,1948,1981,
1988,2009,2017,2036,2044,2052,2077,2079,2080,2082,2083,2086,2092,2103,2110,
2116,2120,2127,2128,2136,2141,2166,2168,2170,2179,2185,2189,2195,2197,2201,
2202,2207,2208,2211,2212,2215,2216,2218,2219,2220,2222,2223,2224,2225,2226,
2294,2300,2301,2307,2311,2330,2345,2346,2350,2352,2354,2370,2373,2387,2398,
2400,2407,2408,2418,2430,2433,2436,2444,2446,2447,2465,2468,2469,2527,2567,
2569,2571,2573,2574,2575,2577,2579,2580,2583,2587,2588,2650,2681,2743,2749,
2765,2770,2783,2787,2791,2799,2811,2816,2822,2845,2873,2877,2880,2883,2887,
2888,2895,2902,2917,2922,2928,2929,2933,2934,2935,2937,2938,2939,2965,2990,
2992,3004,3012,3047,3053,3056,3061,3064,3070,3103,3115,3117,3118,3119,3120,
3121,3199,3203,3205,3208,3211,3214,3215,3219,3221,3226,3229,3231,3232,3233,
3235,3237,3239,3301,3308,3311,3321,3336,3347,3371,3378,3404,3411,3417,3420,
3434,3439,3447,3470,3472,3490,3505,3571,3584,3586,3588,3590,3595,3674,3677,
3685,3687,3690,3693,3701,3703,3705,3707,3710,3713,3715,3716,3717,3724,3757,
3777,3782,3810,3850,3881,3882,3883,3886,3889,3930,3932,3934,3938,3983,4001,
4004,4008,4015,4020,4023,4025,4027,4030,4032,4034,4055,4080,4081,4082,4135,
4138,4143,4144,4147,4149,4166,4216,4231,4250,4256,4257,4258,4288,4292,4298,
4301,4353,4356,4365,4394,4408,4427,4459,4460,4487],[1,2,4,5,6,8,9,10,11,12,13,
22,23,24,26,27,28,29,32,35,40,41,43,44,50,51,57,73,74,82,100,101,107,116,118,
120,121,130,132,134,136,139,141,144,145,148,153,155,156,157,159,160,162,168,
173,174,189,199,200,205,206,207,208,209,210,215,216,217,218,236,237,239,257,
258,352,366,369,381,383,386,387,390,405,407,408,414,415,418,420,428,429,445,
447,450,474,479,500,507,521,522,524,528,536,569,574,576,577,586,592,597,618,
619,620,626,627,629,650,651,652,654,656,660,663,688,718,778,849,857,866,867,
868,873,876,884,911,915,918,930,937,938,942,945,951,952,954,955,961,962,971,
986,987,1038,1039,1045,1058,1059,1067,1069,1115,1156,1217,1225,1228,1231,1232,
1272,1290,1291,1293,1294,1296,1317,1343,1345,1351,1356,1358,1360,1361,1362,
1363,1365,1366,1378,1379,1446,1512,1562,1566,1577,1579,1584,1602,1606,1614,
1617,1642,1658,1665,1669,1672,1678,1699,1701,1708,1712,1721,1810,1814,1816,
1818,1851,1925,1959,1969,2077,2079,2080,2098,2103,2116,2119,2120,2136,2141,
2166,2170,2179,2185,2189,2195,2208,2225,2226,2294,2300,2301,2307,2311,2350,
2360,2387,2398,2465,2468,2469,2567,2569,2571,2573,2574,2587,2588,2700,2743,
2745,2783,2806,2811,2821,2822,2845,2873,2880,2883,2895,2939,2965,3012,3053,
3115,3117,3118,3119,3199,3208,3214,3215,3219,3221,3231,3239,3300,3308,3367,
3378,3404,3490,3517,3584,3588,3594,3674,3677,3685,3687,3705,3713,3716,3757,
3810,3881,3886,3889,3930,3937,3983,4025,4059,4080,4135,4149,4250,4258,4298,
4353,4408,4424,4459,4488],[1,2,4,5,6,7,8,9,10,12,13,19,22,23,26,28,29,32,35,38
,39,40,41,43,44,48,50,65,73,75,76,77,108,118,120,121,122,123,124,125,126,130,
132,136,139,140,141,142,143,145,146,153,154,155,156,159,160,162,168,173,174,
179,180,188,189,194,195,199,201,203,204,206,208,214,215,216,281,366,369,373,
374,375,376,377,378,379,381,383,386,387,390,393,405,407,408,414,416,429,439,
440,441,442,443,445,446,447,449,452,457,464,467,470,471,474,482,483,484,485,
496,497,498,500,505,507,522,528,551,556,557,561,569,574,593,595,607,609,613,
629,630,631,632,650,651,656,658,660,661,848,849,857,858,859,860,861,862,863,
864,865,866,867,868,869,870,871,881,884,903,904,906,911,913,914,915,918,919,
924,925,926,930,937,938,942,944,945,953,955,958,959,960,961,997,1033,1036,1037
,1038,1078,1080,1098,1168,1181,1202,1293,1294,1296,1297,1305,1306,1307,1308,
1317,1319,1343,1344,1353,1354,1361,1362,1366,1371,1382,1383,1384,1385,1386,
1512,1515,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,1530,
1531,1552,1554,1562,1564,1566,1569,1577,1578,1584,1592,1593,1595,1601,1602,
1607,1629,1634,1642,1654,1656,1658,1664,1669,1673,1678,1680,1682,1684,1685,
1686,1687,1690,1691,1704,1705,1790,1810,1811,1812,2085,2097,2099,2101,2103,
2104,2105,2106,2107,2108,2109,2110,2116,2118,2120,2121,2127,2128,2131,2147,
2149,2166,2168,2179,2180,2211,2212,2229,2238,2239,2330,2332,2345,2346,2347,
2349,2407,2430,2446,2454,2532,2535,2547,2567,2568,2569,2570,2574,2575,2580,
2590,2770,2772,2775,2776,2777,2779,2783,2795,2797,2799,2800,2801,2802,2803,
2804,2805,2811,2812,2813,2816,2818,2825,2845,2849,2850,2852,2888,3157,3158,
3170,3171,3186,3193,3203,3205,3208,3210,3211,3212,3214,3215,3233,3241,3336,
3337,3338,3368,3371,3376,3478,3479,3490,3491,3607,3617,3619,3634,3681,3690,
3693,3873,3874,3878,3879,3881,3882,3883,3884,3957,4042,4132,4133,4143,4168,
4234,4236,4311,4345,4366,4367,4432,4433,4462,4489],[1,2,4,5,6,7,8,9,10,12,13,
22,26,28,29,31,32,34,35,40,41,42,43,44,46,48,50,51,73,74,101,118,120,121,122,
123,124,125,126,130,132,136,139,140,141,142,143,145,146,153,154,155,156,159,
160,162,168,172,173,174,188,189,199,206,208,212,215,216,258,366,367,369,380,
381,383,384,385,386,387,388,389,390,393,399,400,401,402,405,407,408,409,414,
429,439,440,441,442,443,445,446,447,448,454,474,479,500,501,507,508,521,522,
528,536,551,569,574,576,586,597,619,629,630,631,632,650,651,652,656,660,663,
848,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,876,877,883,
884,911,913,914,915,918,919,930,937,938,942,944,945,946,953,955,961,987,1027,
1029,1031,1034,1038,1069,1070,1156,1225,1293,1294,1295,1296,1297,1303,1304,
1317,1318,1319,1320,1321,1343,1344,1351,1361,1362,1366,1378,1382,1383,1384,
1385,1386,1512,1513,1535,1552,1562,1564,1566,1569,1570,1571,1577,1578,1584,
1586,1592,1594,1601,1602,1613,1617,1642,1644,1648,1658,1664,1665,1669,1672,
1673,1678,1699,1708,1790,1810,1814,1816,2085,2086,2087,2097,2099,2103,2104,
2105,2106,2107,2108,2109,2116,2118,2120,2121,2136,2139,2141,2143,2166,2167,
2179,2208,2226,2230,2233,2234,2236,2311,2312,2370,2387,2394,2465,2535,2537,
2547,2567,2568,2569,2570,2574,2587,2588,2590,2758,2770,2772,2777,2779,2783,
2784,2797,2808,2811,2812,2813,2822,2841,2844,2845,2849,2856,2883,3157,3163,
3165,3171,3193,3199,3200,3208,3214,3215,3216,3221,3239,3243,3311,3333,3378,
3381,3478,3479,3490,3491,3617,3619,3646,3665,3687,3713,3878,3879,3881,3886,
3887,3889,3946,4042,4125,4141,4149,4168,4236,4309,4347,4366,4367,4430,4434,
4462,4490],[1,2,3,4,5,6,7,8,9,10,15,16,19,22,23,26,28,29,30,31,32,33,34,36,37,
40,41,42,43,44,45,46,47,48,52,62,73,75,79,80,109,118,120,121,122,123,124,125,
126,130,131,135,139,140,141,142,143,145,146,153,154,155,156,158,159,163,164,
165,166,168,169,170,175,177,179,182,184,185,191,193,199,200,205,206,208,209,
210,213,215,216,283,366,367,370,372,380,381,382,383,384,385,386,387,388,389,
391,392,393,394,395,396,397,398,399,400,401,402,405,407,408,409,410,414,416,
425,439,440,441,442,443,445,446,447,449,453,455,461,474,475,480,486,502,504,
511,514,526,527,529,537,547,552,558,569,570,574,575,580,581,582,583,590,598,
602,623,629,630,631,632,650,651,653,655,659,664,848,857,858,859,860,861,862,
863,864,865,866,867,868,869,870,871,878,880,885,891,897,911,913,914,915,916,
921,922,929,930,931,932,933,934,935,937,939,940,941,943,947,949,951,952,953,
954,955,961,962,988,1028,1030,1032,1035,1038,1071,1073,1145,1161,1227,1293,
1294,1295,1297,1300,1301,1302,1303,1304,1317,1318,1319,1320,1321,1322,1323,
1343,1344,1352,1361,1362,1364,1367,1380,1382,1383,1384,1385,1386,1512,1514,
1517,1536,1553,1562,1563,1564,1566,1567,1568,1569,1572,1573,1574,1575,1577,
1578,1581,1582,1585,1588,1589,1590,1591,1596,1597,1598,1599,1615,1619,1645,
1646,1649,1650,1658,1659,1660,1661,1662,1664,1666,1668,1670,1671,1674,1676,
1678,1679,1700,1702,1709,1711,1790,1810,1813,1815,2085,2093,2094,2097,2099,
2103,2104,2105,2106,2107,2108,2109,2116,2117,2118,2119,2122,2123,2138,2140,
2142,2144,2145,2166,2168,2169,2178,2209,2227,2231,2232,2235,2237,2313,2322,
2325,2371,2395,2396,2462,2463,2535,2536,2537,2547,2567,2568,2569,2570,2574,
2586,2589,2590,2762,2773,2774,2778,2779,2780,2781,2782,2783,2785,2797,2798,
2807,2811,2812,2813,2814,2815,2824,2842,2843,2846,2847,2848,2853,2854,2884,
3157,3166,3167,3171,3193,3201,3204,3209,3214,3215,3217,3218,3222,3240,3242,
3313,3335,3380,3382,3383,3478,3479,3490,3491,3618,3619,3620,3647,3666,3688,
3714,3878,3879,3881,3885,3888,3890,3948,4042,4127,4142,4148,4168,4236,4310,
4346,4366,4367,4431,4435,4462,4491],[1,2,4,5,6,9,10,12,13,19,22,23,24,26,27,28
,29,32,35,40,41,44,48,50,65,73,75,76,77,100,101,107,108,118,130,132,134,136,
139,140,141,153,160,162,168,173,179,180,189,199,200,201,206,207,209,214,215,
216,237,240,281,331,332,346,347,366,369,405,414,415,416,418,420,423,428,429,
433,436,438,439,445,446,447,449,452,457,474,482,483,484,500,505,507,522,557,
586,592,593,613,616,618,619,627,649,650,651,652,656,658,660,661,663,809,847,
848,849,857,918,954,955,971,984,986,987,994,997,1007,1011,1017,1021,1022,1033,
1038,1078,1080,1098,1115,1116,1139,1140,1183,1191,1192,1202,1232,1243,1264,
1290,1291,1343,1344,1351,1352,1353,1356,1357,1358,1360,1361,1363,1364,1366,
1370,1371,1373,1374,1376,1378,1379,1381,1511,1512,1515,1607,1613,1614,1642,
1721,1726,1752,1753,1778,1781,1782,1807,1810,1811,1812,1912,1913,2052,2077,
2079,2080,2082,2083,2084,2166,2168,2179,2180,2185,2187,2189,2195,2196,2197,
2201,2202,2203,2207,2208,2211,2213,2215,2216,2218,2219,2220,2222,2223,2224,
2225,2226,2293,2358,2398,2400,2407,2527,2547,2573,2580,2581,2582,2588,2589,
2743,2749,2750,2880,2882,2888,2895,2897,2902,2917,2922,2923,2928,2929,2932,
2933,2934,2935,2937,2938,2939,3056,3115,3116,3186,3193,3226,3229,3230,3231,
3232,3236,3301,3305,3447,3470,3471,3472,3584,3585,3586,3590,3681,3715,3716,
3717,3720,3753,3930,3931,3932,3934,3994,4034,4049,4079,4166,4168,4253,4311,
4363,4402,4417,4465,4492],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,20,21,
22,23,24,25,26,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,50,51,52,
53,54,55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,82,87,88,89,
90,91,92,93,100,101,103,104,105,106,107,108,109,110,118,120,121,122,123,124,
125,126,130,132,136,139,140,141,142,143,144,145,146,147,148,151,153,154,155,
156,157,158,159,160,161,162,163,164,165,166,168,169,170,171,172,173,174,175,
176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,
195,197,199,200,201,202,203,204,205,206,207,208,209,210,215,216,218,219,221,
227,228,229,230,231,232,233,234,236,237,239,240,241,242,243,244,245,246,247,
248,249,257,258,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,
275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,331,332,336,
337,338,339,340,346,347,350,351,366,367,369,372,373,374,375,376,377,378,379,
380,381,382,383,384,385,386,387,388,389,390,391,392,393,399,400,401,402,405,
407,408,409,414,415,416,420,423,428,429,433,436,438,445,446,447,448,449,450,
452,453,454,455,456,457,458,460,464,467,468,470,471,472,473,474,475,476,477,
478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,496,497,
498,499,500,501,502,504,505,506,507,508,510,511,512,521,522,523,524,525,526,
527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,543,544,545,546,
547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,564,569,570,
571,572,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,
591,592,593,595,596,597,598,599,600,602,603,604,605,606,607,608,609,610,612,
613,615,616,617,618,619,620,621,623,629,630,631,632,650,651,652,656,658,660,
661,663,665,667,668,688,689,690,694,695,696,697,698,699,700,701,702,703,704,
734,737,740,741,742,743,755,756,757,758,759,760,761,762,763,764,765,766,767,
769,772,773,774,784,785,786,787,788,799,800,801,802,803,804,805,806,809,810,
811,812,848,849,852,857,858,859,860,861,862,863,864,865,866,867,868,869,870,
871,873,874,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,
892,893,894,895,903,904,905,906,908,909,910,911,913,914,915,916,918,919,921,
922,923,924,925,926,927,929,930,931,932,933,934,935,936,937,938,939,940,941,
942,943,944,945,946,947,951,952,953,954,955,958,959,960,961,962,971,984,986,
987,994,997,1007,1011,1017,1021,1022,1038,1039,1040,1041,1044,1045,1046,1047,
1048,1049,1050,1051,1052,1053,1058,1059,1060,1063,1066,1067,1068,1069,1070,
1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1085,1086,
1087,1088,1089,1090,1095,1096,1097,1098,1103,1104,1105,1111,1115,1116,1117,
1118,1119,1120,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,
1134,1135,1137,1138,1139,1140,1142,1143,1144,1145,1146,1147,1148,1149,1150,
1151,1152,1153,1154,1155,1156,1160,1161,1162,1163,1164,1165,1166,1167,1168,
1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,
1184,1185,1186,1187,1188,1189,1191,1192,1193,1194,1195,1196,1197,1198,1199,
1200,1201,1202,1203,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,
1217,1218,1219,1220,1221,1222,1223,1224,1225,1227,1228,1229,1230,1231,1232,
1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1245,1246,1247,1248,1249,
1250,1251,1252,1253,1254,1256,1257,1258,1259,1260,1261,1262,1263,1264,1293,
1294,1295,1296,1297,1300,1303,1304,1305,1306,1307,1308,1317,1318,1319,1320,
1321,1343,1344,1351,1353,1356,1358,1360,1361,1363,1366,1370,1371,1373,1374,
1376,1378,1379,1381,1413,1414,1417,1431,1432,1433,1456,1457,1458,1459,1460,
1461,1467,1468,1492,1512,1513,1514,1515,1516,1518,1519,1520,1521,1522,1523,
1524,1525,1526,1527,1528,1529,1530,1531,1533,1534,1535,1536,1537,1538,1539,
1540,1541,1542,1552,1553,1554,1555,1562,1563,1564,1565,1566,1567,1568,1569,
1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,1584,1585,1586,1587,1588,
1589,1592,1593,1594,1595,1596,1597,1598,1599,1600,1601,1602,1603,1606,1607,
1608,1609,1613,1614,1615,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,
1627,1628,1629,1630,1631,1632,1633,1634,1636,1637,1638,1639,1642,1643,1644,
1646,1648,1649,1650,1651,1652,1653,1654,1655,1656,1658,1659,1660,1661,1662,
1663,1664,1665,1666,1668,1669,1670,1671,1672,1673,1674,1675,1676,1678,1679,
1680,1681,1682,1683,1684,1685,1686,1687,1688,1690,1691,1692,1693,1694,1699,
1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1721,1726,1752,
1753,1778,1781,1782,1790,1810,1811,1812,1818,1824,1826,1829,1830,1831,1840,
1841,1842,1843,1851,1852,1853,1854,1855,1856,1857,1858,1859,1860,1861,1862,
1863,1864,1866,1867,1868,1869,1870,1871,1872,1873,1874,1875,1876,1877,1878,
1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,1896,1898,
1902,1904,1910,1911,1912,1913,1914,1915,1916,1917,1918,1919,1920,1921,1923,
1924,1925,1927,1928,1929,1930,1931,1932,1933,1934,1935,1936,1937,1938,1939,
1941,1942,1943,1944,1945,1946,1947,1948,1950,1951,1952,1953,1954,1955,1960,
1961,1962,1963,1964,1968,1970,1972,1974,1975,1976,1977,1978,1979,1981,1982,
1983,1984,1985,1986,1987,1988,1993,1994,1995,1996,1997,1998,1999,2000,2001,
2002,2003,2004,2005,2006,2007,2008,2009,2011,2012,2013,2014,2015,2016,2017,
2018,2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2033,2034,2035,2036,
2041,2042,2043,2044,2046,2047,2049,2050,2051,2052,2085,2086,2087,2088,2090,
2091,2092,2093,2095,2097,2098,2099,2101,2103,2104,2105,2106,2107,2108,2109,
2110,2116,2117,2118,2119,2120,2121,2122,2123,2127,2128,2129,2130,2131,2134,
2135,2136,2137,2138,2139,2140,2141,2142,2143,2147,2148,2149,2166,2167,2168,
2169,2179,2180,2185,2189,2195,2197,2201,2202,2207,2208,2211,2215,2216,2218,
2219,2220,2222,2223,2224,2225,2226,2274,2294,2295,2297,2298,2299,2300,2301,
2304,2305,2307,2308,2309,2310,2311,2312,2313,2314,2315,2316,2317,2318,2319,
2320,2321,2322,2323,2324,2329,2330,2331,2332,2333,2334,2335,2336,2337,2338,
2339,2340,2341,2345,2346,2347,2348,2349,2350,2351,2352,2353,2354,2355,2356,
2357,2358,2360,2361,2362,2363,2364,2365,2369,2370,2371,2372,2373,2374,2376,
2377,2378,2379,2380,2381,2382,2383,2384,2387,2388,2389,2390,2391,2392,2393,
2394,2395,2398,2399,2400,2401,2402,2403,2404,2405,2406,2407,2408,2409,2412,
2413,2414,2415,2416,2417,2418,2419,2420,2421,2424,2425,2426,2427,2428,2429,
2430,2431,2432,2433,2434,2435,2436,2437,2438,2439,2442,2443,2444,2445,2446,
2447,2448,2449,2450,2451,2452,2453,2454,2462,2463,2464,2465,2527,2532,2535,
2537,2567,2568,2569,2570,2573,2580,2588,2609,2610,2611,2612,2623,2625,2640,
2641,2647,2648,2650,2651,2652,2653,2654,2655,2656,2657,2658,2659,2660,2661,
2662,2663,2664,2665,2667,2668,2669,2670,2671,2681,2682,2683,2687,2688,2692,
2693,2702,2710,2714,2718,2719,2721,2722,2724,2725,2727,2730,2758,2759,2760,
2761,2763,2765,2766,2767,2768,2769,2770,2772,2773,2774,2775,2776,2777,2778,
2779,2780,2781,2782,2783,2784,2787,2788,2789,2790,2791,2794,2795,2796,2797,
2798,2799,2800,2801,2802,2803,2804,2805,2806,2807,2808,2809,2810,2811,2812,
2813,2814,2815,2816,2817,2818,2819,2820,2821,2822,2823,2824,2825,2826,2832,
2833,2834,2835,2836,2837,2840,2841,2843,2844,2845,2846,2847,2849,2850,2851,
2852,2853,2854,2855,2856,2873,2875,2877,2879,2880,2882,2883,2886,2887,2888,
2890,2891,2895,2902,2903,2917,2922,2928,2929,2933,2934,2935,2937,2938,2939,
2965,2966,2967,2970,2971,2972,2973,2974,2975,2984,2986,2988,2989,2990,2991,
2992,2993,2994,2995,2996,2997,2998,2999,3000,3001,3004,3007,3008,3009,3010,
3012,3013,3014,3015,3016,3017,3019,3020,3021,3022,3024,3025,3026,3027,3029,
3030,3031,3032,3033,3034,3035,3036,3037,3038,3039,3040,3041,3042,3043,3044,
3045,3046,3047,3048,3050,3052,3053,3054,3055,3056,3057,3058,3059,3060,3061,
3062,3063,3064,3065,3066,3067,3068,3069,3070,3071,3072,3073,3074,3075,3076,
3077,3078,3079,3080,3081,3083,3084,3085,3086,3087,3088,3089,3090,3091,3092,
3094,3095,3096,3097,3098,3099,3100,3101,3102,3103,3104,3105,3106,3108,3157,
3158,3160,3163,3165,3166,3170,3171,3193,3199,3200,3202,3203,3208,3210,3211,
3212,3214,3216,3220,3221,3226,3229,3231,3232,3283,3290,3291,3306,3307,3308,
3309,3310,3311,3312,3313,3314,3317,3318,3321,3322,3323,3324,3325,3326,3327,
3328,3330,3331,3332,3333,3334,3335,3336,3337,3338,3339,3340,3341,3342,3343,
3344,3345,3347,3348,3349,3350,3351,3352,3353,3354,3355,3356,3357,3358,3359,
3360,3361,3362,3363,3364,3365,3366,3367,3368,3369,3371,3372,3373,3374,3376,
3377,3378,3379,3380,3381,3382,3384,3385,3386,3387,3404,3409,3411,3412,3417,
3420,3423,3424,3434,3436,3439,3442,3447,3449,3470,3472,3490,3491,3505,3506,
3510,3511,3512,3513,3514,3515,3516,3522,3525,3526,3527,3528,3529,3531,3532,
3537,3538,3539,3550,3551,3552,3553,3554,3555,3556,3557,3558,3559,3560,3561,
3564,3565,3566,3567,3568,3569,3571,3572,3573,3574,3576,3577,3578,3579,3581,
3607,3610,3613,3617,3618,3619,3620,3634,3638,3646,3665,3666,3674,3675,3677,
3678,3681,3685,3686,3687,3690,3691,3692,3700,3701,3702,3703,3705,3706,3707,
3708,3709,3710,3712,3713,3715,3716,3717,3757,3758,3759,3760,3761,3762,3763,
3764,3771,3772,3773,3774,3775,3777,3778,3779,3781,3782,3783,3785,3786,3787,
3790,3791,3793,3794,3795,3796,3797,3798,3800,3801,3802,3803,3805,3806,3807,
3850,3851,3878,3879,3883,3884,3886,3887,3907,3909,3927,3928,3942,3943,3946,
3947,3948,3949,3952,3957,3958,3970,3981,3982,3983,3985,3989,3990,3991,3994,
4001,4002,4004,4007,4008,4012,4015,4016,4018,4020,4021,4023,4024,4025,4026,
4027,4028,4029,4030,4031,4032,4034,4053,4054,4055,4056,4060,4061,4064,4065,
4066,4068,4069,4070,4073,4074,4125,4126,4129,4132,4133,4135,4136,4138,4140,
4141,4172,4173,4176,4177,4180,4183,4186,4198,4199,4200,4201,4216,4223,4224,
4226,4229,4231,4232,4236,4248,4249,4278,4279,4281,4282,4283,4284,4285,4286,
4287,4288,4289,4291,4292,4293,4294,4298,4299,4315,4339,4345,4347,4379,4380,
4382,4384,4385,4387,4388,4389,4390,4391,4392,4393,4394,4418,4420,4443,4445,
4466,4467,4468,4493],[1,2,4,5,6,8,9,10,11,12,13,22,24,26,28,29,31,40,41,42,44,
46,48,49,50,51,57,73,74,78,82,96,100,101,102,118,120,121,130,139,140,141,143,
144,145,148,153,155,156,157,160,162,168,172,199,206,207,215,216,218,236,237,
238,257,258,259,316,366,380,381,386,387,388,389,405,409,414,439,440,442,445,
446,447,448,450,451,474,500,501,503,507,508,513,520,521,522,524,565,566,569,
573,576,577,611,618,619,622,629,650,651,671,687,688,716,717,848,857,865,866,
867,868,873,876,877,911,930,946,955,1038,1039,1045,1058,1059,1067,1069,1070,
1084,1115,1217,1225,1226,1231,1232,1233,1271,1294,1317,1318,1335,1343,1344,
1351,1361,1383,1388,1512,1535,1562,1564,1571,1577,1579,1580,1642,1644,1647,
1658,1689,1810,1817,1818,1832,1833,1845,1847,1851,1907,1922,1925,1957,1958,
2097,2103,2136,2139,2166,2167,2294,2300,2301,2307,2350,2387,2394,2397,2398,
2547,2548,2549,2550,2553,2567,2568,2569,2588,2591,2595,2616,2783,2841,2965,
2976,2978,3011,3012,3023,3053,3082,3193,3199,3214,3216,3308,3479,3480,3486,
3490,3493,3546,3580,3665,3757,3776,3878,3886,3978,4062,4141,4168,4274,4366,
4447,4494],[1,2,4,5,6,8,9,10,11,12,13,14,19,20,22,23,25,26,28,29,32,35,38,40,
41,44,48,50,57,63,65,71,73,75,76,77,81,87,89,93,103,107,108,110,118,120,121,
130,132,136,139,140,141,143,144,145,147,148,153,155,156,157,158,159,160,161,
162,168,171,173,174,179,180,188,189,190,195,199,201,202,204,205,206,208,214,
215,218,221,227,242,246,247,248,249,261,262,263,265,267,281,286,288,289,331,
339,350,351,366,369,378,379,381,383,386,387,405,414,416,417,420,423,428,429,
433,436,438,439,440,442,445,446,447,449,452,457,460,464,468,471,472,474,477,
478,482,483,484,485,492,493,494,497,498,500,505,507,522,523,524,525,528,540,
541,551,556,557,559,560,561,569,570,571,572,574,578,585,593,595,599,607,609,
612,613,615,616,620,621,629,643,644,648,650,656,660,695,698,703,742,764,773,
801,802,810,848,849,852,857,865,866,867,868,873,881,884,906,911,915,918,919,
924,930,942,945,955,958,961,971,984,989,990,994,997,1007,1011,1017,1021,1022,
1033,1037,1039,1040,1041,1045,1046,1048,1058,1059,1060,1067,1068,1072,1077,
1078,1079,1080,1083,1098,1103,1104,1117,1118,1119,1124,1126,1137,1139,1142,
1144,1151,1153,1155,1168,1181,1183,1184,1186,1187,1188,1189,1193,1194,1195,
1197,1200,1202,1206,1207,1208,1210,1211,1213,1214,1219,1220,1221,1223,1241,
1251,1257,1260,1262,1294,1305,1317,1339,1343,1344,1353,1356,1361,1366,1383,
1457,1512,1515,1518,1526,1527,1528,1533,1552,1554,1562,1563,1564,1566,1577,
1584,1592,1593,1602,1606,1607,1608,1609,1629,1642,1654,1658,1669,1678,1680,
1682,1684,1685,1691,1704,1722,1725,1752,1754,1778,1783,1784,1797,1798,1799,
1801,1803,1824,1829,1830,1855,1858,1860,1863,1866,1867,1873,1874,1876,1884,
1890,1891,1914,1915,1918,1920,1928,1929,1938,1939,1942,1944,1946,1948,1950,
1954,1985,1987,2004,2015,2027,2028,2030,2041,2043,2049,2097,2103,2128,2147,
2166,2168,2179,2180,2185,2197,2202,2211,2238,2294,2295,2300,2301,2304,2305,
2307,2309,2315,2330,2332,2345,2346,2350,2389,2393,2400,2403,2407,2408,2418,
2425,2427,2428,2429,2430,2438,2439,2446,2524,2547,2557,2565,2567,2568,2656,
2660,2662,2725,2770,2783,2799,2811,2845,2850,2873,2875,2877,2879,2881,2885,
2887,2888,2896,2902,2903,2922,2929,2946,2966,2970,2971,2972,2989,2990,2992,
2993,2995,3000,3004,3014,3019,3045,3058,3066,3070,3074,3076,3078,3079,3085,
3090,3106,3186,3193,3203,3208,3210,3214,3308,3317,3328,3336,3371,3405,3408,
3417,3418,3434,3436,3440,3448,3469,3479,3487,3510,3512,3516,3564,3568,3656,
3657,3662,3674,3675,3681,3690,3761,3773,3777,3798,3848,3873,3878,3980,3981,
3982,3984,4004,4008,4012,4018,4064,4120,4132,4168,4220,4226,4276,4278,4311,
4366,4382,4396,4397,4398,4432,4450,4471,4495],[1,2,4,5,6,7,8,9,10,11,12,13,14,
19,20,22,23,25,26,28,29,32,35,38,39,40,41,43,44,48,50,57,63,65,71,73,75,76,77,
81,87,89,93,103,107,108,110,118,121,124,125,126,130,132,136,139,140,141,142,
143,145,146,147,150,151,153,154,155,156,157,158,159,160,161,162,168,171,173,
174,179,180,188,189,190,194,195,199,201,202,203,204,205,206,208,214,216,218,
221,227,242,246,247,248,249,261,262,263,265,267,281,286,288,289,331,339,350,
351,366,369,375,376,377,379,386,387,390,393,405,408,414,416,417,420,423,428,
429,433,436,438,439,441,443,445,446,447,449,452,457,462,464,467,468,470,471,
473,474,477,478,482,483,484,485,492,493,494,496,497,498,500,505,506,507,522,
523,524,525,528,540,541,551,556,557,559,560,561,569,570,571,572,574,578,585,
593,595,599,607,609,612,613,615,616,620,621,631,643,644,648,651,658,661,695,
698,703,742,764,773,801,802,810,848,849,852,857,860,861,862,863,865,866,869,
870,871,874,903,904,906,911,914,915,918,919,924,926,937,938,944,953,958,960,
961,971,984,989,990,994,997,1007,1011,1017,1021,1022,1033,1036,1039,1040,1041,
1044,1045,1046,1048,1060,1062,1063,1067,1068,1072,1077,1078,1079,1080,1083,
1096,1098,1103,1104,1117,1118,1119,1120,1124,1126,1137,1139,1142,1144,1151,
1153,1155,1168,1181,1183,1184,1186,1187,1188,1189,1193,1194,1195,1197,1200,
1202,1206,1207,1208,1210,1211,1213,1214,1219,1220,1221,1223,1241,1251,1257,
1260,1262,1297,1307,1319,1339,1343,1344,1354,1357,1362,1371,1384,1457,1512,
1515,1518,1519,1522,1523,1525,1526,1529,1530,1531,1534,1552,1554,1564,1565,
1566,1569,1578,1592,1593,1595,1601,1606,1607,1608,1609,1634,1642,1643,1656,
1664,1673,1678,1680,1682,1684,1685,1687,1690,1705,1722,1725,1752,1754,1778,
1783,1784,1797,1798,1800,1802,1803,1827,1830,1831,1855,1858,1860,1863,1866,
1867,1869,1873,1874,1876,1884,1890,1891,1914,1915,1918,1920,1928,1929,1938,
1939,1942,1944,1946,1948,1950,1954,1985,1987,2004,2015,2027,2028,2030,2041,
2043,2049,2099,2105,2109,2131,2149,2166,2168,2179,2180,2187,2196,2203,2212,
2239,2295,2296,2297,2298,2299,2304,2305,2307,2308,2309,2321,2332,2345,2347,
2349,2351,2388,2390,2401,2403,2405,2407,2408,2414,2424,2425,2427,2428,2429,
2430,2438,2439,2454,2524,2547,2556,2565,2569,2570,2656,2660,2662,2725,2775,
2779,2800,2803,2812,2849,2852,2873,2875,2877,2879,2881,2885,2887,2888,2898,
2902,2903,2923,2931,2945,2968,2970,2973,2974,2975,2989,2990,2993,2997,2999,
3000,3003,3016,3020,3034,3059,3066,3068,3074,3076,3078,3079,3081,3086,3087,
3106,3186,3193,3205,3211,3212,3215,3309,3319,3329,3337,3376,3405,3408,3417,
3418,3434,3436,3440,3448,3466,3478,3488,3508,3512,3514,3567,3568,3656,3657,
3662,3676,3679,3681,3693,3762,3775,3779,3799,3848,3874,3879,3980,3981,3982,
3986,4003,4009,4011,4018,4065,4122,4133,4168,4218,4226,4277,4280,4311,4367,
4383,4396,4397,4398,4433,4450,4472,4496],[1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,
17,19,20,22,23,26,28,29,30,31,32,33,35,40,41,42,43,44,45,46,47,48,50,51,52,53,
54,55,56,62,63,64,65,71,73,74,75,76,77,79,80,81,101,108,109,110,118,121,124,
125,126,130,131,132,135,136,139,140,141,142,143,145,146,147,150,151,153,154,
155,156,158,159,160,161,162,163,164,165,166,168,169,170,171,172,173,174,175,
176,177,178,179,180,184,185,186,187,189,190,195,199,201,205,206,208,209,210,
212,213,214,216,219,221,227,228,229,230,231,258,280,281,282,283,284,285,286,
287,288,289,290,332,339,340,366,369,380,381,382,383,384,387,391,393,394,397,
401,405,408,409,410,414,416,422,423,425,426,427,429,433,439,441,443,445,446,
447,448,449,452,453,457,474,475,476,477,478,479,482,483,484,485,500,501,502,
504,505,506,507,508,511,512,514,515,521,522,523,525,526,527,528,529,530,531,
532,533,534,535,536,537,538,539,540,541,547,548,549,550,556,557,559,560,561,
562,569,570,571,572,574,575,576,580,581,582,583,584,585,586,593,597,598,599,
600,607,613,615,619,621,623,631,644,645,646,651,653,664,665,668,734,743,763,
764,765,766,767,848,849,857,860,861,862,863,865,866,869,870,871,874,876,877,
878,879,880,881,882,884,914,915,916,918,924,929,930,933,935,937,939,940,945,
947,949,953,962,968,981,982,983,984,987,988,989,997,1027,1028,1030,1033,1035,
1040,1041,1044,1046,1047,1048,1049,1050,1052,1053,1060,1062,1063,1066,1068,
1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1080,1081,1082,1098,1103,
1122,1123,1124,1125,1126,1130,1131,1132,1133,1135,1138,1140,1143,1144,1145,
1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1167,1168,1169,1184,
1202,1203,1209,1210,1211,1212,1213,1214,1222,1223,1224,1225,1227,1240,1241,
1242,1243,1251,1252,1253,1254,1297,1320,1322,1336,1343,1344,1357,1362,1364,
1380,1384,1414,1512,1515,1535,1536,1537,1538,1539,1554,1562,1563,1566,1567,
1569,1572,1578,1581,1584,1585,1586,1587,1590,1591,1593,1594,1595,1596,1600,
1607,1609,1617,1618,1628,1629,1630,1631,1642,1643,1644,1645,1646,1662,1664,
1670,1672,1674,1676,1679,1700,1711,1715,1753,1754,1755,1798,1800,1802,1804,
1806,1840,1842,1843,1870,1872,1875,1876,1877,1882,1883,1884,1885,1886,1887,
1890,1903,1904,1911,1921,1931,1933,1945,1946,1947,1951,1952,1953,1954,2002,
2003,2004,2005,2006,2007,2008,2009,2099,2105,2109,2142,2144,2166,2167,2168,
2169,2178,2179,2180,2187,2188,2193,2227,2237,2295,2296,2297,2298,2299,2305,
2308,2309,2310,2311,2313,2314,2315,2330,2351,2352,2353,2376,2382,2383,2384,
2387,2393,2395,2396,2401,2403,2407,2413,2414,2415,2416,2418,2419,2420,2422,
2426,2463,2473,2547,2552,2555,2561,2569,2570,2609,2611,2641,2665,2775,2779,
2814,2842,2844,2846,2848,2876,2877,2879,2883,2884,2885,2886,2888,2890,2906,
2931,2932,2945,2985,2986,2989,2994,2996,2999,3000,3002,3003,3008,3009,3010,
3015,3022,3025,3029,3044,3045,3046,3047,3068,3069,3077,3094,3186,3193,3215,
3217,3218,3222,3309,3319,3346,3349,3380,3401,3418,3419,3420,3423,3456,3478,
3485,3528,3539,3540,3559,3657,3665,3666,3676,3679,3681,3714,3760,3774,3779,
3792,3812,3879,3982,3989,3991,3998,4003,4005,4006,4069,4122,4142,4168,4199,
4213,4280,4309,4310,4311,4367,4386,4397,4399,4400,4435,4448,4472,4497],[1,2,3,
4,5,6,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,26,28,29,30,31,32,33,35,40,41
,42,44,45,46,48,50,51,52,53,54,55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,76
,77,79,80,81,87,92,101,106,107,108,109,110,118,120,121,130,131,132,135,136,139
,140,141,143,144,145,147,148,153,155,156,157,158,159,160,161,162,165,166,168,
169,170,171,172,173,174,175,176,179,180,181,182,183,184,185,186,187,188,189,
190,199,201,205,206,208,212,213,214,215,218,221,228,229,230,231,232,233,234,
258,261,262,263,268,269,270,271,272,275,278,279,281,283,284,285,286,287,290,
331,337,338,340,366,369,380,381,382,383,386,387,388,389,405,409,414,416,420,
422,424,425,426,427,428,429,430,431,439,440,442,445,446,447,448,449,452,453,
457,474,475,476,477,479,482,483,484,491,494,500,501,502,504,505,507,508,510,
511,512,521,522,523,524,525,526,528,529,530,531,532,533,534,535,536,537,538,
539,541,543,544,545,546,549,551,552,553,554,555,557,559,560,569,570,571,572,
574,576,578,583,584,585,586,589,597,598,599,600,605,613,616,619,620,621,629,
643,646,647,650,652,663,667,668,737,742,757,758,759,760,761,762,767,848,849,
857,865,866,867,868,873,876,877,878,879,880,881,894,895,911,915,918,919,930,
939,942,943,945,946,955,961,969,971,977,978,979,980,981,987,988,989,993,994,
997,1027,1028,1029,1033,1034,1039,1040,1041,1045,1046,1047,1049,1051,1053,1058
,1059,1060,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1078,1079,1080,
1083,1085,1086,1089,1098,1104,1123,1126,1127,1128,1129,1130,1131,1132,1133,
1134,1137,1139,1142,1145,1146,1147,1148,1149,1150,1151,1156,1170,1172,1173,
1174,1175,1176,1178,1183,1198,1199,1201,1202,1206,1207,1208,1212,1219,1220,
1221,1223,1225,1237,1238,1239,1240,1248,1249,1250,1253,1294,1317,1318,1337,
1343,1344,1356,1361,1378,1383,1417,1512,1515,1535,1536,1537,1538,1540,1552,
1562,1563,1564,1566,1571,1577,1584,1585,1588,1589,1592,1602,1603,1606,1607,
1626,1627,1628,1630,1632,1633,1642,1644,1646,1658,1665,1668,1669,1672,1678,
1699,1708,1719,1752,1755,1759,1761,1797,1799,1801,1805,1806,1840,1841,1842,
1871,1872,1873,1874,1877,1878,1879,1880,1881,1887,1888,1889,1891,1902,1904,
1910,1920,1930,1932,1943,1944,1948,1950,1955,1995,1996,1997,1998,1999,2000,
2001,2005,2097,2103,2136,2139,2166,2167,2168,2169,2178,2179,2180,2185,2186,
2192,2226,2236,2294,2295,2300,2301,2304,2307,2309,2311,2313,2314,2315,2334,
2350,2354,2355,2377,2380,2381,2384,2387,2389,2393,2394,2400,2407,2408,2413,
2417,2418,2421,2427,2465,2474,2547,2551,2554,2560,2567,2568,2610,2612,2640,
2664,2770,2783,2811,2841,2843,2845,2873,2875,2876,2878,2883,2884,2885,2887,
2888,2889,2890,2891,2905,2929,2946,2984,2986,2990,2992,2993,2995,3001,3004,
3007,3008,3014,3021,3024,3030,3031,3032,3033,3044,3070,3071,3076,3095,3186,
3193,3214,3216,3221,3308,3317,3347,3348,3378,3402,3417,3419,3421,3422,3424,
3455,3479,3484,3527,3537,3538,3558,3656,3665,3666,3674,3675,3681,3713,3759,
3773,3777,3793,3813,3878,3981,3990,3991,3997,4004,4007,4068,4120,4141,4168,
4198,4212,4278,4309,4310,4311,4366,4385,4396,4400,4401,4434,4449,4471,4498],[1
,2,4,5,6,8,9,10,11,12,13,19,20,22,23,24,26,28,29,31,32,34,35,40,41,42,44,48,50
,51,57,65,71,73,74,75,76,77,82,87,88,100,101,107,108,118,120,121,130,132,136,
139,140,141,143,144,145,147,148,153,155,156,157,160,162,163,168,172,173,174,
177,178,179,180,188,189,190,199,200,201,206,207,209,212,214,215,218,219,221,
236,237,239,240,241,257,258,260,261,262,263,280,281,282,331,332,346,347,366,
367,369,380,381,384,385,386,405,414,415,416,420,423,428,429,433,436,438,439,
440,442,445,446,447,448,449,450,452,454,455,456,457,474,479,480,481,482,483,
484,485,494,500,501,505,507,521,522,524,528,536,551,556,557,559,560,562,569,
575,576,577,586,592,593,597,604,607,608,613,616,618,619,629,643,645,649,650,
656,660,688,689,690,742,743,769,799,800,809,848,849,857,865,866,867,868,873,
876,877,882,883,884,911,918,919,929,930,954,955,971,984,986,987,994,997,1007,
1011,1017,1021,1022,1027,1031,1033,1039,1040,1041,1045,1050,1058,1059,1060,
1067,1069,1070,1078,1079,1080,1081,1082,1083,1098,1104,1115,1116,1125,1126,
1139,1140,1156,1160,1167,1168,1169,1183,1185,1191,1192,1202,1203,1206,1207,
1208,1217,1225,1231,1232,1243,1246,1254,1263,1264,1294,1295,1342,1343,1344,
1351,1356,1361,1366,1383,1456,1512,1513,1514,1515,1535,1539,1552,1562,1564,
1567,1568,1577,1579,1584,1586,1592,1606,1607,1613,1614,1617,1618,1642,1648,
1653,1658,1659,1721,1726,1752,1753,1778,1781,1782,1797,1799,1801,1804,1807,
1818,1826,1851,1852,1853,1854,1873,1874,1875,1882,1891,1912,1913,1925,1934,
1935,1944,1947,1948,1981,1988,2009,2017,2036,2044,2052,2086,2087,2097,2103,
2166,2167,2168,2179,2180,2185,2197,2202,2208,2230,2294,2295,2300,2301,2304,
2307,2311,2312,2329,2330,2350,2358,2360,2361,2369,2370,2376,2387,2398,2400,
2407,2408,2418,2527,2547,2558,2564,2567,2568,2650,2651,2681,2758,2770,2782,
2783,2873,2875,2877,2880,2882,2883,2886,2887,2888,2895,2902,2922,2929,2946,
2965,2967,2990,2992,2993,2994,3004,3012,3026,3047,3053,3056,3061,3064,3070,
3186,3193,3199,3200,3208,3214,3308,3311,3312,3317,3404,3409,3411,3417,3420,
3434,3439,3447,3470,3479,3482,3505,3506,3571,3656,3665,3674,3675,3681,3687,
3757,3764,3777,3850,3878,3981,3983,3985,3989,3994,4004,4008,4055,4120,4125,
4168,4200,4216,4278,4309,4311,4366,4380,4396,4399,4402,4430,4453,4471,4499],[1
,2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,19,20,21,22,23,24,26,28,29,30,31,32,33,
34,35,36,37,40,41,43,44,45,48,50,52,55,56,62,63,65,68,70,71,73,74,75,76,77,79,
80,81,87,88,90,92,100,101,106,107,108,109,110,118,121,124,125,126,130,131,132,
135,136,139,140,141,142,143,145,146,147,150,151,153,154,155,156,158,159,160,
161,162,166,168,169,170,171,173,174,175,176,177,179,180,181,182,183,184,185,
189,190,191,193,195,199,200,201,205,206,207,208,209,213,214,216,221,227,231,
232,237,240,241,243,245,246,248,260,262,266,268,270,272,275,278,279,281,282,
283,285,286,287,288,289,331,332,338,339,346,347,351,366,367,369,370,372,382,
383,387,388,393,394,398,402,405,408,414,415,416,423,424,425,429,430,431,433,
436,438,439,441,443,445,446,447,448,449,452,453,454,455,456,457,458,461,463,
474,475,476,477,478,479,480,482,483,484,486,487,491,500,502,504,505,506,507,
522,523,525,529,532,533,534,535,537,540,541,544,546,547,552,554,556,557,558,
560,561,570,572,574,576,578,579,582,583,586,589,590,592,593,598,600,602,603,
605,606,607,613,615,616,618,619,620,631,644,647,649,651,655,659,690,699,700,
704,757,761,763,764,772,801,804,805,806,809,811,848,849,857,860,861,862,863,
865,866,869,870,871,874,878,880,885,891,894,895,897,914,915,918,921,922,924,
931,937,942,943,951,953,954,955,978,984,986,988,989,993,994,997,1006,1011,1016
,1019,1020,1028,1032,1033,1040,1041,1044,1046,1048,1051,1053,1060,1062,1063,
1068,1071,1072,1073,1076,1077,1078,1080,1081,1083,1085,1086,1089,1095,1098,
1103,1105,1115,1116,1124,1127,1133,1139,1140,1144,1145,1147,1152,1155,1161,
1163,1167,1170,1172,1175,1183,1184,1189,1191,1192,1195,1198,1199,1201,1202,
1211,1212,1213,1214,1218,1221,1222,1229,1230,1232,1238,1243,1247,1250,1252,
1258,1259,1262,1264,1297,1302,1303,1341,1343,1344,1352,1357,1362,1367,1384,
1461,1512,1513,1514,1515,1516,1517,1536,1540,1553,1554,1563,1566,1569,1570,
1571,1575,1576,1578,1581,1582,1585,1588,1590,1593,1595,1599,1607,1609,1613,
1614,1615,1619,1626,1632,1642,1643,1649,1650,1654,1655,1660,1664,1665,1666,
1724,1726,1754,1761,1777,1782,1784,1798,1800,1802,1805,1807,1826,1828,1852,
1853,1856,1859,1864,1876,1878,1881,1883,1884,1889,1890,1896,1912,1913,1916,
1924,1936,1937,1939,1943,1946,1953,1954,1955,1978,1979,1986,1999,2007,2014,
2033,2035,2042,2043,2051,2052,2093,2094,2099,2105,2109,2166,2168,2169,2178,
2179,2180,2187,2198,2204,2209,2231,2295,2296,2297,2298,2299,2305,2308,2309,
2313,2319,2322,2325,2326,2331,2334,2351,2358,2363,2365,2371,2373,2374,2380,
2389,2391,2398,2399,2400,2401,2402,2403,2404,2407,2414,2417,2526,2547,2559,
2563,2569,2570,2655,2658,2661,2683,2762,2773,2775,2779,2780,2784,2785,2877,
2878,2879,2880,2882,2884,2885,2887,2888,2889,2891,2897,2902,2919,2931,2945,
2967,2969,2988,2989,2998,2999,3000,3001,3002,3003,3013,3027,3032,3035,3052,
3055,3056,3057,3058,3060,3063,3065,3068,3071,3186,3193,3201,3204,3209,3215,
3309,3313,3314,3315,3319,3407,3411,3412,3418,3422,3433,3440,3447,3467,3478,
3483,3509,3511,3572,3574,3657,3666,3676,3679,3681,3688,3758,3765,3778,3779,
3849,3879,3982,3987,3988,3990,3994,4003,4010,4056,4122,4127,4168,4201,4217,
4280,4310,4311,4367,4381,4397,4401,4402,4431,4454,4472,4500],[1,2,4,5,6,7,8,9,
10,11,12,13,14,19,20,22,23,25,26,28,29,32,35,38,39,40,44,48,50,57,63,65,71,73,
75,76,77,81,87,89,93,103,107,108,110,118,121,124,125,126,130,132,136,139,140,
141,142,143,145,146,147,148,150,151,153,155,156,159,173,174,180,188,189,195,
201,204,206,208,214,216,218,221,227,242,246,247,248,249,261,262,263,265,267,
281,286,288,289,331,339,350,351,366,369,375,376,377,379,386,387,393,405,420,
423,428,429,433,436,438,439,440,441,442,443,445,446,447,449,452,457,462,464,
467,468,470,471,472,473,484,485,497,498,500,505,507,528,551,556,561,569,574,
593,595,607,609,631,643,644,648,651,658,661,695,698,703,742,764,773,801,802,
810,847,848,849,852,861,862,864,865,866,867,869,870,871,904,906,911,915,918,
919,924,958,961,971,984,1007,1011,1017,1021,1022,1033,1036,1037,1039,1040,1041
,1045,1046,1048,1059,1060,1062,1063,1072,1077,1078,1079,1080,1083,1098,1103,
1104,1117,1118,1119,1139,1142,1144,1168,1181,1297,1307,1319,1339,1343,1344,
1357,1358,1371,1382,1383,1384,1385,1386,1457,1511,1518,1522,1523,1524,1526,
1527,1529,1530,1531,1552,1554,1564,1566,1569,1577,1578,1592,1593,1595,1601,
1602,1606,1607,1608,1609,1678,1680,1682,1684,1685,1778,1797,1798,1799,1800,
1801,1802,1803,1827,1829,1830,1831,1855,1858,1860,1863,1866,1867,1873,1874,
1876,1884,1890,1891,1914,1915,1918,1938,1939,1942,1948,1950,1954,2084,2099,
2106,2109,2131,2149,2179,2180,2187,2189,2196,2201,2203,2207,2229,2238,2239,
2295,2296,2297,2300,2304,2305,2332,2345,2346,2347,2349,2428,2429,2430,2438,
2439,2547,2556,2557,2565,2569,2570,2590,2656,2660,2662,2750,2772,2775,2800,
2802,2812,2813,2852,2873,2875,2877,2879,2902,2903,2923,2928,2944,2945,2946,
2968,2970,2971,2974,2993,2995,2997,2999,3000,3003,3004,3106,3186,3193,3211,
3212,3241,3303,3304,3318,3319,3329,3330,3337,3338,3434,3436,3478,3479,3487,
3488,3508,3512,3514,3516,3656,3657,3662,3676,3677,3678,3679,3681,3730,3753,
3799,3800,3873,3874,3879,3939,3940,3980,3981,3982,4009,4011,4015,4016,4018,
4042,4049,4120,4122,4133,4169,4226,4234,4276,4277,4279,4280,4344,4368,4383,
4384,4404,4405,4501],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,
23,24,25,26,28,29,30,31,32,33,35,37,38,40,41,42,44,45,46,49,50,51,52,53,54,55,
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,
106,107,108,109,110,111,112,113,114,115,116,117,118,120,121,130,131,132,135,
136,139,141,144,145,148,152,153,155,156,157,158,159,160,161,162,165,166,168,
169,170,171,172,173,174,175,176,179,180,181,182,183,184,185,186,187,188,189,
190,192,195,199,201,202,204,205,206,207,208,215,216,218,219,220,221,222,223,
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,
357,358,359,360,361,362,363,364,365,366,369,372,378,379,380,381,382,383,386,
387,388,389,391,392,405,409,414,415,416,417,420,421,422,423,424,425,426,427,
428,429,430,431,432,433,435,436,437,438,445,447,449,450,451,457,459,460,469,
471,472,474,475,476,477,478,479,482,483,484,485,490,491,492,493,494,495,497,
498,500,502,503,507,509,510,511,513,519,520,521,522,523,524,525,526,528,529,
530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,549,551,
552,553,554,555,556,557,559,560,561,569,570,571,572,573,574,576,577,578,579,
583,584,585,586,587,588,589,593,594,595,597,598,599,600,601,605,606,607,608,
609,611,612,613,614,615,616,618,619,620,621,622,624,625,626,629,650,651,652,
653,655,656,658,659,660,661,663,664,665,666,667,668,669,670,671,672,673,674,
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,
846,849,852,857,866,867,868,873,876,877,878,879,880,881,884,885,887,889,890,
894,895,906,911,915,918,919,923,924,930,935,939,942,943,945,946,955,958,961,
967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,
986,987,988,989,990,991,992,993,994,995,996,997,999,1000,1001,1002,1003,1004,
1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,
1020,1021,1022,1023,1024,1025,1026,1038,1039,1041,1042,1043,1045,1046,1047,
1051,1054,1055,1058,1059,1064,1065,1066,1067,1068,1069,1071,1072,1078,1083,
1084,1089,1090,1091,1092,1093,1094,1098,1099,1100,1101,1102,1103,1104,1114,
1115,1117,1119,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,
1133,1134,1136,1137,1138,1139,1141,1142,1145,1146,1147,1148,1149,1150,1151,
1152,1153,1154,1155,1156,1157,1158,1159,1167,1168,1169,1170,1171,1172,1173,
1174,1175,1176,1177,1178,1179,1180,1181,1183,1184,1185,1186,1187,1188,1189,
1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,
1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1217,1218,1219,1220,1221,
1222,1223,1224,1225,1226,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,
1238,1239,1240,1241,1242,1243,1244,1246,1247,1248,1249,1250,1251,1252,1253,
1254,1255,1257,1258,1259,1260,1261,1262,1263,1264,1265,1267,1268,1269,1270,
1271,1272,1273,1274,1279,1280,1281,1283,1284,1285,1286,1287,1288,1289,1294,
1300,1305,1317,1318,1343,1351,1353,1356,1358,1359,1360,1361,1363,1366,1367,
1368,1369,1370,1371,1373,1374,1375,1376,1377,1378,1379,1380,1381,1387,1388,
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,
1509,1510,1512,1515,1526,1527,1528,1532,1533,1538,1539,1541,1552,1554,1562,
1563,1566,1577,1579,1580,1584,1585,1588,1589,1592,1602,1603,1604,1608,1609,
1613,1617,1625,1626,1627,1628,1629,1630,1632,1633,1642,1646,1647,1648,1654,
1658,1665,1668,1669,1672,1678,1680,1682,1684,1685,1691,1699,1704,1708,1714,
1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,
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,
1776,1777,1778,1779,1780,1781,1782,1783,1784,1785,1786,1787,1788,1789,1810,
1811,1812,1813,1815,1817,1818,1819,1824,1825,1829,1838,1839,1840,1841,1844,
1845,1846,1847,1850,1851,1852,1855,1856,1857,1858,1865,1866,1867,1870,1871,
1872,1874,1875,1876,1877,1888,1889,1890,1891,1892,1893,1894,1895,1897,1899,
1901,1902,1906,1907,1908,1909,1910,1913,1914,1918,1920,1921,1922,1923,1924,
1925,1926,1927,1928,1929,1930,1931,1932,1933,1934,1939,1940,1942,1943,1944,
1945,1946,1948,1949,1950,1955,1956,1957,1958,1959,1960,1961,1962,1963,1964,
1965,1966,1967,1968,1969,1970,1971,1973,1974,1975,1976,1977,1978,1979,1980,
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,
2012,2013,2014,2015,2016,2017,2018,2022,2023,2024,2025,2026,2027,2028,2029,
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,
2060,2061,2066,2071,2072,2073,2074,2086,2090,2098,2103,2128,2130,2136,2138,
2139,2147,2166,2168,2178,2179,2185,2186,2189,2190,2191,2192,2194,2195,2197,
2199,2200,2201,2202,2205,2206,2207,2208,2211,2215,2216,2217,2218,2219,2220,
2222,2223,2224,2225,2226,2240,2241,2242,2243,2244,2245,2246,2247,2248,2249,
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,
2280,2281,2282,2283,2284,2285,2286,2287,2288,2289,2290,2291,2292,2294,2300,
2301,2302,2307,2309,2311,2313,2314,2315,2330,2334,2335,2342,2343,2344,2345,
2346,2350,2352,2354,2355,2362,2363,2370,2373,2379,2382,2387,2389,2393,2397,
2398,2400,2403,2407,2408,2411,2413,2417,2418,2421,2423,2425,2427,2430,2433,
2436,2439,2444,2446,2447,2465,2471,2472,2473,2474,2475,2476,2477,2478,2479,
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,
2512,2513,2514,2515,2516,2517,2518,2519,2520,2522,2523,2524,2525,2526,2527,
2528,2529,2530,2531,2567,2569,2573,2576,2578,2580,2584,2585,2586,2588,2594,
2595,2596,2597,2598,2599,2600,2605,2606,2607,2609,2610,2613,2614,2615,2616,
2617,2618,2622,2623,2626,2627,2628,2636,2637,2638,2639,2640,2642,2643,2644,
2646,2647,2649,2650,2659,2660,2661,2662,2664,2665,2666,2667,2668,2669,2670,
2672,2673,2674,2675,2676,2677,2678,2679,2680,2681,2682,2683,2684,2685,2686,
2687,2688,2689,2690,2691,2694,2695,2696,2697,2698,2699,2700,2701,2702,2703,
2704,2705,2706,2707,2708,2709,2710,2711,2712,2713,2714,2715,2716,2718,2719,
2720,2721,2722,2723,2724,2725,2726,2727,2728,2729,2730,2731,2760,2770,2783,
2787,2789,2799,2811,2833,2834,2840,2843,2845,2851,2873,2874,2876,2877,2878,
2880,2881,2883,2884,2885,2887,2888,2889,2895,2896,2899,2900,2901,2902,2904,
2905,2907,2908,2910,2911,2912,2914,2915,2917,2921,2922,2924,2925,2926,2927,
2928,2929,2930,2933,2934,2935,2937,2938,2939,2949,2950,2951,2952,2953,2954,
2955,2956,2957,2958,2959,2960,2961,2962,2963,2965,2966,2971,2972,2976,2977,
2978,2982,2984,2987,2989,2990,2992,2995,3004,3005,3006,3007,3008,3011,3012,
3014,3015,3018,3019,3021,3030,3031,3032,3033,3044,3045,3046,3047,3051,3052,
3053,3056,3058,3061,3064,3065,3066,3070,3071,3073,3074,3076,3078,3079,3082,
3083,3085,3089,3090,3092,3093,3095,3096,3103,3124,3127,3128,3129,3130,3131,
3132,3133,3134,3135,3136,3137,3138,3139,3140,3141,3142,3143,3144,3145,3146,
3147,3148,3149,3151,3199,3203,3208,3209,3211,3214,3221,3222,3223,3226,3229,
3231,3232,3234,3244,3245,3247,3249,3250,3252,3256,3257,3258,3262,3265,3266,
3268,3269,3270,3272,3273,3274,3275,3276,3277,3278,3279,3281,3282,3283,3284,
3285,3286,3287,3288,3289,3290,3292,3293,3294,3295,3296,3297,3298,3308,3311,
3328,3336,3347,3348,3371,3378,3386,3400,3401,3402,3403,3404,3405,3406,3407,
3408,3410,3411,3413,3414,3415,3416,3417,3418,3419,3420,3421,3422,3425,3426,
3427,3428,3429,3430,3432,3433,3434,3435,3437,3438,3439,3440,3441,3443,3444,
3445,3447,3448,3450,3452,3453,3454,3455,3457,3458,3459,3460,3461,3462,3469,
3470,3472,3489,3490,3493,3494,3495,3496,3497,3501,3502,3503,3505,3510,3516,
3517,3518,3521,3522,3523,3527,3528,3530,3531,3533,3534,3536,3537,3541,3550,
3554,3555,3556,3558,3560,3562,3563,3564,3565,3568,3570,3571,3572,3575,3576,
3579,3580,3597,3598,3599,3600,3601,3602,3603,3674,3677,3680,3684,3685,3687,
3690,3701,3703,3704,3705,3707,3710,3713,3715,3716,3717,3718,3731,3733,3736,
3737,3738,3741,3745,3747,3750,3757,3759,3761,3773,3776,3777,3780,3782,3786,
3811,3812,3813,3815,3816,3817,3818,3819,3820,3821,3822,3823,3824,3825,3826,
3827,3828,3829,3830,3831,3833,3834,3835,3836,3837,3838,3840,3841,3844,3845,
3846,3847,3848,3849,3850,3852,3853,3854,3856,3857,3858,3859,3860,3861,3862,
3883,3886,3890,3891,3892,3893,3894,3899,3900,3901,3902,3903,3904,3905,3907,
3910,3912,3913,3915,3921,3923,3924,3927,3929,3941,3983,3984,3995,3996,3997,
3999,4000,4001,4004,4008,4013,4014,4015,4017,4019,4020,4023,4025,4027,4030,
4032,4034,4046,4051,4053,4055,4057,4058,4059,4060,4062,4064,4067,4068,4071,
4083,4086,4087,4088,4089,4090,4091,4092,4093,4094,4095,4096,4097,4098,4101,
4102,4105,4107,4108,4134,4135,4138,4145,4152,4154,4155,4156,4158,4159,4162,
4163,4196,4197,4202,4203,4205,4206,4208,4210,4211,4212,4214,4215,4216,4220,
4225,4227,4228,4230,4231,4239,4241,4242,4243,4244,4245,4246,4247,4248,4259,
4260,4261,4262,4263,4264,4265,4288,4292,4296,4298,4308,4321,4322,4323,4325,
4326,4327,4328,4329,4330,4331,4333,4334,4337,4349,4350,4351,4352,4369,4378,
4394,4414,4415,4416,4423,4440,4441,4442,4475,4476,4477,4502],[1,2,3,4,5,6,9,10
,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,31,32,33,35,40,41,42,44
,45,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72
,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,94,95,96,97,98,99,
100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,118,130,132,
136,139,140,141,144,153,156,157,160,162,165,166,168,172,173,174,179,180,182,
183,184,185,186,187,188,189,190,199,201,214,215,218,220,221,222,223,224,225,
226,228,229,230,231,232,233,234,235,236,237,238,242,243,244,245,247,250,251,
254,255,256,257,258,259,261,262,263,264,265,266,268,269,270,271,272,273,274,
275,278,279,281,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,
300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,
319,320,321,322,323,324,325,326,327,328,329,330,331,333,334,335,336,337,338,
340,341,342,343,344,345,366,369,380,381,382,383,405,414,416,420,428,429,439,
445,446,447,448,449,450,451,452,453,457,459,460,474,482,483,484,494,500,501,
502,503,504,505,507,509,510,522,524,526,528,549,551,552,553,554,555,557,559,
560,565,613,616,643,650,652,663,666,667,668,669,670,671,672,673,674,675,676,
677,678,679,680,681,682,683,684,685,686,687,688,691,692,693,694,695,696,700,
701,707,708,709,710,711,712,713,714,715,716,717,719,720,721,723,724,725,726,
728,729,733,735,736,737,742,744,745,746,747,748,749,750,751,752,753,754,756,
757,758,759,760,761,762,767,768,784,788,789,791,792,793,794,796,797,798,829,
830,831,832,833,834,848,849,857,876,877,878,879,880,881,894,895,911,918,919,
939,942,943,945,971,994,997,1033,1039,1040,1042,1043,1045,1047,1049,1051,1053,
1054,1055,1058,1067,1069,1070,1071,1072,1073,1074,1075,1076,1078,1079,1080,
1083,1084,1085,1086,1089,1090,1091,1092,1093,1094,1098,1099,1100,1101,1102,
1104,1115,1117,1126,1134,1183,1202,1206,1207,1208,1282,1335,1343,1344,1351,
1353,1360,1378,1379,1387,1388,1390,1391,1392,1393,1395,1396,1397,1398,1399,
1400,1401,1402,1403,1406,1408,1409,1410,1411,1415,1416,1417,1418,1419,1420,
1422,1423,1424,1425,1426,1427,1428,1429,1430,1432,1434,1480,1482,1483,1484,
1485,1487,1489,1512,1515,1535,1536,1537,1538,1540,1552,1606,1607,1626,1627,
1628,1630,1632,1633,1642,1668,1669,1752,1797,1817,1818,1819,1824,1832,1839,
1841,1842,1844,1845,1846,1851,1855,1856,1857,1865,1873,1874,1877,1878,1879,
1880,1881,1887,1888,1889,1891,1892,1893,1894,1895,1897,1899,1902,1944,1970,
1971,2021,2164,2166,2167,2168,2169,2179,2180,2195,2219,2220,2240,2241,2242,
2246,2248,2249,2250,2251,2252,2253,2254,2294,2304,2307,2354,2355,2377,2380,
2381,2384,2407,2408,2547,2548,2549,2567,2591,2592,2594,2595,2596,2597,2598,
2599,2600,2607,2610,2612,2613,2614,2617,2618,2622,2623,2645,2688,2689,2690,
2691,2715,2716,2872,2873,2875,2887,2888,2890,2891,2917,2951,2965,2966,2976,
2977,2984,2990,3024,3186,3187,3191,3193,3199,3203,3221,3244,3245,3248,3252,
3258,3260,3261,3276,3277,3278,3279,3417,3424,3493,3494,3495,3496,3497,3502,
3522,3523,3533,3534,3655,3656,3661,3665,3666,3681,3685,3707,3710,3732,3733,
3891,3902,3903,3904,3905,3978,3981,3990,3991,4001,4152,4168,4195,4198,4311,
4318,4396,4447,4479,4503],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,19,20,21,22,
23,24,25,26,28,29,31,32,33,35,40,41,42,44,45,48,49,50,51,52,53,54,55,56,57,62,
63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,85,86,87,88,89,90,91,
92,93,96,99,100,101,102,103,104,105,106,107,108,109,110,113,114,116,118,130,
132,136,139,140,141,144,153,155,159,160,162,163,165,168,172,173,174,177,178,
179,180,184,185,186,187,189,190,195,199,201,206,212,214,215,218,219,220,221,
227,228,229,230,231,232,233,234,236,237,238,239,240,241,242,243,244,245,246,
247,248,249,254,255,257,258,259,260,261,262,263,264,265,266,267,268,269,270,
271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,
290,300,301,302,303,304,305,316,326,327,328,329,330,331,332,336,337,338,339,
340,343,344,346,347,350,351,352,356,357,358,361,362,363,366,369,380,381,382,
383,405,414,416,423,429,433,439,445,446,447,448,449,450,451,452,453,457,459,
460,474,479,482,483,484,485,500,501,502,503,504,505,507,509,510,521,522,527,
528,536,547,548,549,550,556,557,559,560,561,562,565,569,576,586,593,597,607,
613,619,645,650,652,656,660,663,665,667,668,671,684,685,686,687,688,689,690,
691,692,693,694,695,696,697,698,699,700,701,702,703,704,716,717,718,719,720,
721,722,723,724,734,737,740,741,742,743,755,756,757,758,759,760,761,762,763,
764,765,766,767,768,769,772,773,774,778,783,784,785,786,787,788,796,799,800,
801,802,803,804,805,806,809,810,811,812,813,814,815,816,821,828,829,835,837,
844,848,849,857,876,877,878,879,880,881,882,884,915,918,924,929,930,939,945,
984,987,997,1027,1033,1039,1041,1047,1048,1049,1050,1051,1055,1058,1069,1070,
1071,1072,1073,1074,1075,1076,1077,1078,1080,1081,1082,1083,1084,1089,1090,
1091,1092,1093,1094,1098,1115,1117,1125,1126,1135,1139,1156,1167,1168,1169,
1202,1203,1225,1243,1254,1275,1282,1335,1343,1344,1351,1353,1361,1366,1370,
1374,1376,1378,1388,1389,1390,1391,1392,1393,1394,1395,1408,1413,1414,1417,
1427,1431,1432,1433,1435,1436,1437,1446,1447,1448,1449,1456,1457,1458,1459,
1460,1461,1462,1463,1467,1468,1471,1487,1488,1489,1492,1493,1503,1512,1515,
1535,1536,1537,1538,1539,1554,1562,1584,1607,1609,1617,1618,1628,1629,1630,
1631,1642,1672,1674,1753,1804,1817,1818,1819,1824,1832,1840,1841,1843,1845,
1846,1851,1852,1855,1856,1857,1858,1874,1875,1876,1877,1882,1883,1884,1885,
1886,1887,1888,1889,1899,1902,1910,1913,1914,1934,1939,1948,1955,1970,2009,
2070,2164,2166,2167,2168,2169,2179,2180,2208,2211,2216,2220,2226,2245,2246,
2256,2257,2258,2259,2267,2268,2274,2282,2285,2294,2305,2311,2330,2352,2353,
2376,2382,2383,2384,2387,2407,2418,2547,2548,2549,2567,2591,2592,2595,2596,
2597,2598,2609,2610,2611,2617,2623,2629,2631,2640,2645,2647,2650,2659,2660,
2661,2670,2687,2688,2715,2877,2879,2883,2886,2888,2890,2935,2963,2965,2966,
2976,2977,2984,2992,3025,3047,3185,3186,3187,3191,3193,3199,3203,3208,3214,
3221,3253,3254,3259,3260,3271,3279,3290,3420,3423,3493,3496,3497,3505,3510,
3517,3522,3533,3537,3664,3665,3666,3681,3687,3690,3703,3707,3713,3739,3894,
3899,3903,3907,3913,3978,3982,3989,3991,4020,4158,4168,4195,4199,4309,4311,
4399,4447,4478,4479,4504],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,19,21,22,23,
24,25,26,28,29,31,32,33,35,40,41,42,44,45,48,49,50,51,52,54,55,57,62,63,64,65,
66,67,68,69,70,73,74,75,76,77,78,79,80,81,82,85,86,89,90,91,96,99,100,101,102,
103,104,105,106,107,108,109,110,111,112,113,114,117,118,130,132,136,139,140,
141,144,153,160,162,165,168,172,173,179,180,184,185,186,187,189,199,200,201,
204,206,207,208,209,214,215,218,220,228,229,232,233,234,236,237,238,240,242,
243,244,245,247,249,251,252,254,255,257,258,259,264,265,266,273,274,281,283,
284,285,286,287,290,300,301,302,303,304,305,316,326,327,328,329,330,331,332,
333,334,335,336,337,338,339,340,343,344,346,347,348,349,350,351,353,354,355,
366,369,380,381,382,383,405,414,415,416,429,436,438,439,445,446,447,448,449,
450,451,452,453,457,459,460,474,482,483,484,500,501,502,503,504,505,507,509,
510,522,549,557,565,586,590,591,592,593,595,613,616,617,618,619,623,649,650,
652,663,667,671,684,685,686,687,688,691,692,693,694,695,696,700,701,716,717,
719,720,721,723,724,727,730,734,735,737,738,739,740,741,756,767,768,776,777,
779,780,784,787,788,790,791,792,794,796,809,810,811,812,824,825,829,836,840,
846,848,849,852,857,876,877,878,879,880,881,918,939,945,954,955,958,961,986,
997,1011,1033,1039,1047,1049,1051,1055,1058,1069,1070,1071,1072,1073,1074,1075
,1076,1078,1080,1084,1090,1091,1092,1093,1094,1098,1115,1116,1117,1118,1139,
1140,1141,1144,1183,1191,1192,1202,1232,1243,1245,1264,1282,1335,1343,1344,
1351,1353,1363,1373,1378,1381,1388,1390,1391,1392,1393,1395,1408,1419,1427,
1432,1450,1453,1469,1472,1474,1475,1476,1478,1481,1487,1489,1491,1492,1495,
1502,1512,1515,1535,1536,1537,1538,1607,1608,1613,1614,1628,1630,1642,1680,
1699,1702,1703,1704,1782,1807,1817,1818,1819,1824,1832,1841,1845,1846,1851,
1855,1856,1857,1877,1887,1899,1902,1908,1910,1911,1912,1913,1914,1915,1916,
1917,1970,1971,1972,2052,2075,2164,2166,2167,2168,2169,2179,2180,2220,2222,
2225,2243,2246,2265,2266,2272,2277,2279,2294,2358,2362,2364,2384,2398,2400,
2407,2428,2435,2436,2547,2548,2549,2567,2591,2592,2595,2596,2597,2598,2614,
2617,2623,2636,2637,2643,2645,2670,2671,2677,2688,2715,2880,2882,2888,2890,
2902,2903,2934,2953,2965,2966,2976,2977,2984,3056,3105,3186,3187,3191,3193,
3199,3203,3221,3260,3264,3267,3279,3287,3447,3449,3493,3496,3497,3518,3522,
3533,3536,3663,3665,3666,3681,3701,3705,3707,3742,3903,3910,3912,3978,3991,
3994,4018,4032,4155,4168,4195,4229,4311,4402,4447,4479,4505],[1,2,3,4,5,6,8,9,
10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,35,37,38,
40,41,42,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,
68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,94,95,
96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,
121,130,131,132,135,136,139,140,141,143,144,145,147,148,152,153,155,156,157,
160,162,165,166,169,170,171,172,173,174,175,176,180,181,182,183,184,185,186,
187,188,189,192,201,202,206,207,214,216,218,220,221,222,223,224,225,226,228,
229,230,231,232,233,234,235,236,237,238,242,243,244,245,247,250,251,254,255,
256,257,258,259,261,262,263,264,265,266,268,269,270,271,272,273,274,275,278,
279,281,283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,
302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,
321,322,323,324,325,326,327,328,329,330,331,333,334,335,336,337,338,340,341,
342,343,344,345,372,379,386,387,388,391,409,420,421,422,423,424,425,426,427,
428,429,430,431,432,433,435,436,437,438,439,440,442,446,447,448,450,451,452,
453,457,458,459,460,464,469,471,472,476,478,484,485,490,492,495,500,501,502,
503,504,505,507,508,509,510,511,512,513,519,520,521,522,524,526,528,529,531,
532,533,538,539,540,542,543,544,545,546,549,551,552,553,554,555,556,565,566,
567,568,569,573,576,577,584,587,588,593,594,600,601,606,607,611,612,614,615,
618,619,622,624,643,651,653,655,658,659,661,664,666,667,668,669,670,671,672,
673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,691,692,693,
694,695,696,700,701,707,708,709,710,711,712,713,714,715,716,717,719,720,721,
723,724,725,726,728,729,733,735,736,737,742,744,745,746,747,748,749,750,751,
752,753,754,756,757,758,759,760,761,762,767,768,784,788,789,791,792,793,794,
796,797,798,829,830,831,832,833,834,847,865,866,867,873,885,887,889,906,923,
935,946,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,
984,985,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,
1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1033,1037,
1039,1040,1041,1042,1043,1045,1047,1049,1051,1053,1054,1055,1058,1059,1060,
1064,1065,1067,1070,1073,1074,1075,1076,1079,1080,1084,1085,1086,1090,1091,
1092,1093,1094,1097,1098,1099,1100,1101,1102,1104,1114,1121,1122,1127,1128,
1129,1130,1134,1136,1139,1141,1146,1152,1154,1157,1158,1159,1168,1179,1180,
1186,1188,1190,1196,1197,1204,1205,1209,1213,1217,1225,1226,1231,1232,1233,
1236,1242,1244,1247,1252,1255,1258,1259,1261,1265,1267,1268,1269,1271,1273,
1274,1282,1335,1343,1357,1358,1359,1367,1368,1369,1371,1375,1377,1380,1383,
1387,1388,1390,1391,1392,1393,1395,1396,1397,1398,1399,1400,1401,1402,1403,
1406,1408,1409,1410,1411,1415,1416,1417,1418,1419,1420,1422,1423,1424,1425,
1426,1427,1428,1429,1430,1432,1434,1480,1482,1483,1484,1485,1487,1489,1511,
1516,1518,1527,1532,1533,1564,1571,1577,1579,1580,1587,1588,1592,1593,1602,
1603,1604,1625,1644,1646,1647,1689,1714,1715,1716,1717,1718,1719,1720,1729,
1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,1745,
1746,1747,1748,1749,1750,1751,1762,1763,1764,1765,1766,1767,1768,1769,1770,
1771,1772,1773,1774,1775,1776,1777,1778,1779,1780,1797,1799,1801,1817,1818,
1819,1824,1825,1829,1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,
1844,1845,1846,1847,1850,1871,1873,1878,1879,1880,1881,1887,1891,1892,1893,
1894,1895,1897,1899,1901,1902,1904,1906,1907,1908,1909,1910,1922,1925,1926,
1928,1948,1949,1955,1956,1957,1958,1961,1962,1965,1966,1967,1975,1978,1980,
1982,1984,1989,1991,1992,1993,2008,2010,2019,2020,2021,2039,2053,2055,2056,
2059,2084,2164,2178,2179,2187,2188,2189,2190,2191,2193,2194,2196,2198,2199,
2200,2201,2203,2204,2205,2206,2207,2217,2228,2238,2240,2241,2242,2246,2248,
2249,2250,2251,2252,2253,2254,2295,2300,2302,2316,2319,2320,2332,2335,2342,
2343,2344,2346,2350,2394,2397,2406,2411,2416,2421,2423,2466,2471,2472,2476,
2477,2478,2479,2482,2483,2490,2491,2492,2493,2494,2495,2496,2497,2498,2499,
2500,2501,2502,2503,2508,2509,2513,2514,2515,2517,2518,2547,2548,2549,2550,
2553,2569,2591,2592,2593,2594,2595,2596,2597,2598,2599,2600,2605,2606,2607,
2612,2613,2616,2617,2618,2622,2623,2626,2628,2638,2639,2640,2642,2643,2644,
2645,2666,2667,2685,2686,2694,2696,2697,2699,2709,2715,2716,2750,2872,2873,
2874,2876,2877,2878,2900,2901,2902,2906,2907,2909,2910,2913,2914,2918,2919,
2920,2923,2924,2925,2926,2927,2928,2940,2946,2951,2964,2986,2987,2993,3001,
3004,3005,3006,3011,3012,3018,3019,3021,3023,3040,3051,3082,3093,3107,3124,
3128,3129,3132,3133,3137,3138,3139,3140,3141,3142,3186,3187,3190,3191,3209,
3211,3222,3244,3245,3247,3248,3249,3250,3251,3257,3258,3260,3261,3268,3269,
3272,3276,3277,3278,3279,3303,3400,3401,3402,3403,3413,3414,3415,3416,3426,
3427,3428,3429,3430,3431,3432,3433,3434,3435,3443,3451,3452,3461,3479,3480,
3486,3492,3521,3530,3531,3538,3541,3542,3545,3546,3562,3563,3570,3575,3580,
3602,3655,3656,3658,3659,3660,3661,3676,3677,3680,3704,3732,3733,3747,3752,
3753,3756,3811,3820,3821,3822,3823,3824,3825,3827,3828,3829,3832,3839,3842,
3845,3846,3856,3858,3862,3872,3873,3877,3892,3893,3911,3920,3924,3929,3939,
3978,3998,3999,4009,4010,4013,4014,4015,4033,4048,4049,4050,4083,4087,4088,
4090,4091,4104,4107,4120,4121,4123,4153,4163,4195,4197,4207,4208,4237,4264,
4274,4318,4322,4323,4324,4334,4348,4377,4403,4405,4406,4411,4415,4422,4439,
4506],[1,2,3,4,5,6,8,9,10,11,12,13,16,19,20,21,22,23,24,25,26,27,28,29,30,32,
33,35,37,38,40,41,43,44,45,50,51,57,65,66,68,71,73,74,75,76,77,79,82,85,86,87,
88,91,92,99,100,101,103,107,108,113,114,116,118,120,121,130,132,133,134,136,
137,139,141,144,145,148,153,155,156,157,159,160,162,166,168,173,174,175,179,
180,181,182,183,185,188,189,190,193,194,195,199,200,201,202,204,205,206,207,
208,209,210,215,216,217,218,219,221,236,237,239,240,241,249,254,257,258,260,
261,262,263,264,268,280,281,282,300,304,328,329,331,332,346,347,352,361,363,
366,369,372,378,379,381,382,383,386,387,390,391,392,405,407,408,414,415,416,
418,419,420,423,428,429,433,434,436,438,445,447,449,450,457,459,469,471,474,
479,482,483,484,485,486,487,490,494,495,497,498,500,507,509,521,522,524,528,
536,542,544,551,554,556,557,559,560,561,569,574,576,577,582,586,592,593,594,
595,597,598,601,603,605,607,608,609,610,612,613,614,616,618,619,620,624,626,
627,629,650,651,652,654,656,657,658,660,661,662,663,684,688,689,690,691,697,
718,719,720,722,742,743,769,778,799,800,809,814,828,849,852,857,866,867,868,
873,876,878,880,881,884,887,894,895,903,905,906,911,915,918,919,921,924,925,
926,930,937,938,940,941,942,943,945,951,952,954,955,958,961,962,971,984,986,
987,994,997,998,1007,1011,1017,1021,1022,1038,1039,1041,1045,1058,1059,1067,
1069,1078,1083,1092,1098,1104,1115,1125,1126,1139,1156,1158,1163,1167,1168,
1169,1181,1183,1185,1190,1191,1192,1196,1202,1203,1204,1206,1207,1208,1217,
1225,1228,1231,1232,1243,1246,1250,1254,1260,1263,1264,1268,1272,1273,1285,
1289,1290,1291,1292,1293,1294,1296,1300,1305,1317,1343,1345,1351,1353,1354,
1355,1356,1358,1360,1361,1362,1363,1365,1366,1370,1371,1372,1373,1374,1376,
1378,1379,1381,1390,1394,1436,1446,1449,1456,1463,1512,1515,1526,1527,1528,
1532,1538,1540,1541,1552,1554,1562,1566,1577,1579,1584,1592,1602,1604,1606,
1608,1613,1614,1617,1626,1627,1628,1629,1632,1634,1637,1642,1648,1650,1651,
1652,1654,1655,1658,1665,1666,1669,1672,1678,1680,1682,1683,1684,1685,1691,
1699,1701,1704,1708,1711,1712,1721,1726,1752,1753,1778,1781,1782,1810,1811,
1812,1814,1816,1818,1819,1825,1846,1851,1852,1874,1875,1891,1913,1925,1926,
1934,1944,1948,1959,1966,1969,1974,1981,1988,1991,2009,2017,2036,2044,2048,
2052,2053,2054,2058,2077,2078,2079,2080,2081,2082,2083,2086,2090,2092,2095,
2098,2103,2110,2116,2119,2120,2122,2127,2128,2136,2141,2148,2166,2168,2170,
2175,2179,2181,2185,2189,2195,2197,2201,2202,2207,2208,2211,2212,2214,2215,
2216,2218,2219,2220,2222,2223,2224,2225,2226,2257,2294,2300,2301,2307,2311,
2330,2343,2345,2346,2350,2352,2354,2360,2364,2370,2373,2374,2377,2379,2387,
2398,2400,2407,2408,2418,2430,2433,2436,2438,2442,2444,2446,2447,2465,2468,
2469,2470,2527,2567,2569,2571,2573,2574,2575,2577,2579,2580,2583,2587,2588,
2596,2650,2672,2675,2681,2684,2694,2700,2711,2743,2744,2745,2746,2747,2748,
2749,2760,2763,2765,2768,2770,2783,2787,2791,2799,2806,2810,2811,2816,2819,
2821,2822,2836,2845,2854,2873,2877,2880,2883,2887,2888,2892,2895,2902,2917,
2922,2928,2929,2933,2934,2935,2937,2938,2939,2965,2977,2982,2990,2992,3004,
3012,3018,3047,3053,3056,3061,3064,3070,3093,3097,3103,3115,3117,3118,3119,
3120,3121,3122,3123,3199,3203,3205,3206,3208,3211,3213,3214,3215,3219,3221,
3226,3229,3231,3232,3233,3235,3237,3239,3285,3300,3301,3302,3308,3311,3321,
3336,3343,3347,3351,3357,3359,3364,3367,3371,3378,3404,3411,3417,3420,3434,
3439,3447,3470,3472,3490,3496,3505,3517,3562,3571,3584,3586,3588,3590,3591,
3592,3593,3594,3595,3596,3674,3677,3685,3687,3690,3693,3695,3701,3703,3705,
3707,3710,3713,3715,3716,3717,3724,3751,3757,3777,3780,3782,3805,3810,3850,
3881,3882,3883,3886,3889,3899,3930,3932,3934,3936,3937,3938,3983,4001,4004,
4008,4015,4020,4023,4025,4027,4030,4032,4034,4055,4058,4059,4080,4081,4082,
4135,4138,4143,4144,4147,4149,4166,4167,4216,4231,4246,4250,4256,4257,4258,
4288,4292,4298,4301,4353,4356,4359,4365,4394,4408,4424,4425,4427,4459,4460,
4461,4470,4486,4487,4488,4507],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,19,20,
21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,40,41,42,43,44,45,46,50,51,
52,53,54,55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,82,87,88,
89,90,91,92,93,100,101,103,104,105,106,107,108,109,110,118,120,121,130,131,132
,134,135,136,139,140,141,143,144,145,147,153,155,156,158,159,160,161,162,163,
164,165,166,168,169,170,171,172,173,174,175,176,177,178,179,180,182,183,184,
185,186,187,188,189,190,191,192,194,195,197,199,200,201,204,205,206,208,209,
215,216,218,219,221,227,228,229,230,231,232,233,234,236,237,239,240,241,242,
243,244,245,246,247,248,249,257,258,260,261,262,263,264,265,266,267,268,269,
270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,
289,290,331,332,336,337,338,339,340,346,347,350,351,366,367,369,372,378,379,
380,381,382,383,384,385,386,387,388,389,390,391,392,405,407,408,409,414,415,
416,417,418,420,422,423,424,425,426,427,428,429,430,431,433,436,438,445,446,
447,448,449,450,452,453,454,455,456,457,458,460,464,468,471,474,475,476,477,
478,479,480,481,482,483,484,485,486,487,488,489,497,498,500,501,502,504,505,
506,507,508,510,511,512,521,522,523,525,526,527,528,529,530,531,532,533,534,
535,536,537,538,539,540,541,547,548,549,550,551,552,553,554,555,556,557,559,
560,561,562,564,569,570,571,572,574,575,576,581,582,583,584,585,586,590,591,
592,593,595,597,598,599,600,602,603,604,607,609,613,615,617,619,621,623,627,
629,650,651,652,653,655,656,658,659,660,661,663,664,665,667,668,688,689,690,
694,695,696,697,698,699,700,701,702,703,704,734,737,740,741,742,743,755,756,
757,758,759,760,761,762,763,764,765,766,767,769,772,773,774,784,785,786,787,
788,799,800,801,802,803,804,805,806,809,810,811,812,848,849,852,857,865,866,
867,868,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,
893,894,895,903,906,911,915,916,918,919,922,923,924,925,926,927,929,930,931,
932,933,934,935,936,937,938,939,942,943,945,946,947,954,955,958,961,968,969,
971,977,978,979,980,981,982,983,984,986,987,988,989,990,991,992,993,994,997,
1000,1003,1006,1007,1011,1012,1016,1017,1019,1020,1021,1022,1038,1039,1040,
1041,1046,1047,1048,1049,1050,1051,1052,1053,1058,1060,1066,1068,1069,1070,
1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1085,1086,
1087,1088,1089,1090,1095,1096,1097,1098,1103,1111,1115,1116,1117,1118,1122,
1123,1124,1125,1126,1130,1131,1132,1133,1134,1135,1138,1139,1140,1144,1145,
1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1160,1161,1162,1163,
1164,1165,1166,1167,1168,1169,1181,1184,1202,1203,1209,1210,1211,1212,1213,
1214,1215,1216,1222,1223,1224,1225,1227,1240,1241,1242,1243,1245,1251,1252,
1253,1254,1256,1290,1291,1293,1294,1295,1296,1300,1305,1317,1318,1343,1344,
1345,1349,1351,1352,1353,1354,1356,1357,1361,1362,1364,1366,1367,1368,1369,
1370,1371,1374,1375,1376,1377,1378,1380,1413,1414,1417,1431,1432,1433,1456,
1457,1458,1459,1460,1461,1467,1468,1492,1512,1513,1514,1515,1516,1518,1526,
1527,1528,1535,1536,1537,1538,1539,1540,1541,1542,1552,1554,1555,1562,1563,
1564,1565,1566,1567,1568,1571,1577,1584,1585,1586,1587,1588,1589,1592,1593,
1602,1606,1607,1608,1609,1613,1614,1617,1618,1619,1620,1621,1622,1623,1624,
1625,1626,1627,1628,1629,1630,1631,1632,1633,1634,1639,1642,1643,1644,1646,
1648,1653,1654,1655,1658,1659,1665,1666,1668,1669,1672,1674,1675,1676,1678,
1680,1682,1684,1685,1691,1694,1699,1702,1703,1704,1708,1709,1715,1719,1721,
1722,1723,1724,1725,1726,1732,1735,1739,1742,1743,1752,1753,1754,1755,1759,
1760,1761,1775,1776,1777,1778,1781,1782,1783,1784,1810,1811,1812,1813,1814,
1815,1816,1818,1824,1826,1830,1840,1841,1842,1843,1851,1852,1853,1854,1855,
1856,1857,1858,1859,1860,1861,1862,1863,1864,1870,1872,1873,1874,1875,1876,
1877,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1898,
1902,1904,1910,1911,1912,1913,1914,1915,1916,1917,1921,1931,1933,1934,1935,
1936,1937,1938,1939,1945,1946,1947,1948,1952,1953,1954,1955,1970,1972,2002,
2003,2004,2005,2006,2007,2008,2009,2011,2077,2079,2080,2082,2083,2086,2087,
2090,2091,2092,2097,2098,2103,2110,2116,2117,2120,2123,2127,2128,2129,2130,
2136,2137,2138,2139,2140,2141,2147,2166,2167,2168,2169,2170,2177,2178,2179,
2180,2185,2186,2187,2188,2192,2193,2196,2197,2198,2202,2203,2204,2208,2209,
2210,2211,2212,2213,2216,2217,2220,2221,2226,2227,2274,2294,2295,2304,2305,
2309,2310,2311,2312,2313,2314,2315,2316,2317,2318,2319,2320,2321,2322,2323,
2324,2329,2330,2331,2332,2333,2345,2346,2352,2353,2354,2355,2357,2358,2360,
2361,2362,2363,2364,2365,2369,2370,2373,2374,2376,2377,2378,2379,2380,2381,
2382,2383,2384,2387,2390,2391,2392,2393,2394,2395,2403,2404,2405,2406,2407,
2409,2412,2413,2414,2415,2416,2418,2420,2421,2428,2429,2430,2432,2433,2435,
2436,2438,2439,2444,2445,2446,2447,2452,2453,2462,2465,2473,2474,2488,2489,
2491,2506,2507,2524,2525,2526,2527,2567,2568,2569,2574,2575,2576,2577,2578,
2579,2580,2581,2582,2583,2584,2585,2586,2587,2588,2589,2609,2610,2611,2612,
2623,2625,2640,2641,2647,2648,2650,2651,2652,2653,2654,2655,2656,2657,2658,
2659,2660,2661,2665,2670,2671,2687,2688,2692,2693,2743,2749,2758,2759,2760,
2761,2765,2767,2770,2782,2783,2787,2788,2789,2790,2791,2799,2809,2811,2816,
2817,2820,2822,2823,2824,2832,2833,2834,2835,2840,2841,2843,2845,2850,2851,
2873,2875,2876,2877,2878,2879,2880,2881,2882,2883,2884,2885,2886,2887,2888,
2889,2890,2891,2895,2896,2897,2898,2902,2903,2905,2906,2908,2909,2912,2913,
2918,2919,2920,2921,2922,2923,2929,2931,2932,2935,2936,2965,2966,2967,2970,
2984,2986,2989,2991,2992,2993,2994,3000,3001,3008,3010,3015,3017,3024,3025,
3026,3027,3034,3035,3036,3037,3038,3039,3040,3044,3045,3046,3047,3048,3050,
3096,3097,3098,3099,3100,3101,3102,3103,3105,3106,3108,3115,3116,3144,3193,
3199,3200,3201,3202,3203,3205,3208,3209,3210,3211,3214,3215,3216,3217,3220,
3221,3222,3223,3224,3225,3227,3228,3229,3230,3233,3234,3235,3236,3237,3238,
3239,3240,3290,3291,3301,3311,3312,3317,3321,3322,3328,3336,3344,3345,3347,
3348,3361,3362,3363,3371,3377,3378,3382,3384,3385,3386,3387,3401,3402,3404,
3405,3406,3407,3408,3409,3411,3412,3415,3417,3418,3419,3420,3421,3422,3423,
3424,3433,3434,3436,3437,3439,3440,3442,3444,3446,3447,3448,3449,3450,3451,
3455,3456,3466,3467,3468,3469,3470,3471,3490,3505,3506,3510,3511,3512,3513,
3522,3525,3528,3529,3537,3538,3539,3581,3584,3585,3586,3587,3589,3590,3665,
3666,3674,3675,3676,3681,3687,3688,3689,3690,3691,3692,3693,3694,3702,3703,
3704,3707,3709,3711,3712,3713,3714,3718,3719,3720,3721,3722,3723,3724,3764,
3782,3783,3786,3787,3793,3798,3807,3812,3813,3819,3821,3836,3837,3841,3847,
3848,3849,3850,3851,3854,3855,3878,3881,3882,3883,3885,3886,3889,3890,3907,
3909,3930,3931,3932,3933,3934,3935,3981,3982,3983,3984,3985,3986,3987,3989,
3990,3991,3994,3997,3998,4003,4004,4005,4007,4008,4009,4010,4012,4018,4020,
4021,4022,4038,4073,4079,4097,4125,4126,4129,4130,4132,4134,4137,4138,4141,
4143,4144,4145,4146,4147,4148,4149,4165,4166,4198,4199,4200,4201,4202,4204,
4206,4207,4212,4213,4216,4217,4218,4219,4220,4221,4223,4224,4226,4229,4250,
4252,4253,4254,4255,4278,4283,4285,4287,4290,4293,4294,4296,4297,4300,4301,
4302,4303,4331,4332,4339,4353,4354,4356,4357,4358,4362,4363,4364,4380,4382,
4385,4392,4395,4427,4428,4429,4443,4457,4482,4483,4484,4508],[1,2,4,5,6,7,8,9,
10,12,13,19,20,22,23,26,28,29,31,32,34,35,38,39,40,41,42,43,44,46,48,50,51,65,
71,73,74,75,76,77,101,108,118,120,121,122,123,124,125,126,130,132,136,139,140,
141,142,143,145,146,153,154,155,156,159,160,162,163,168,172,173,174,177,178,
179,180,188,189,190,194,195,197,199,201,203,204,206,208,212,214,215,216,219,
221,258,280,281,282,332,366,367,369,373,374,375,376,377,378,379,380,381,383,
384,385,386,387,388,389,390,393,399,400,401,402,405,407,408,409,414,416,423,
429,433,439,440,441,442,443,445,446,447,448,449,452,454,457,464,467,470,471,
474,479,482,483,484,485,496,497,498,500,501,505,507,508,521,522,528,536,551,
556,557,559,560,561,562,569,574,576,586,593,595,597,607,609,613,619,629,630,
631,632,645,650,651,652,656,658,660,661,663,743,848,849,857,858,859,860,861,
862,863,864,865,866,867,868,869,870,871,876,877,880,881,882,883,884,891,892,
893,895,903,904,906,908,909,910,911,913,914,915,918,919,924,925,926,927,929,
930,937,938,942,944,945,946,947,953,955,958,959,960,961,984,987,997,1027,1029,
1031,1033,1034,1036,1037,1038,1041,1050,1069,1070,1078,1080,1081,1082,1098,
1111,1125,1126,1156,1167,1168,1169,1181,1202,1203,1225,1243,1254,1293,1294,
1295,1296,1297,1303,1304,1305,1306,1307,1308,1317,1318,1319,1320,1321,1343,
1344,1351,1353,1354,1361,1362,1366,1370,1371,1374,1376,1378,1382,1383,1384,
1385,1386,1512,1513,1515,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,
1528,1529,1530,1531,1535,1539,1552,1554,1562,1564,1566,1569,1570,1571,1577,
1578,1584,1586,1592,1593,1594,1595,1601,1602,1607,1613,1617,1618,1626,1627,
1628,1629,1634,1639,1642,1644,1648,1654,1656,1658,1664,1665,1669,1672,1673,
1678,1680,1682,1684,1685,1686,1687,1690,1691,1699,1704,1705,1708,1753,1790,
1804,1808,1810,1811,1812,1814,1816,1875,1882,2009,2085,2086,2087,2088,2092,
2093,2097,2099,2101,2103,2104,2105,2106,2107,2108,2109,2110,2116,2118,2120,
2121,2127,2128,2129,2131,2134,2135,2136,2139,2140,2141,2142,2143,2147,2149,
2166,2167,2168,2179,2180,2208,2211,2212,2216,2220,2226,2229,2230,2233,2234,
2236,2238,2239,2311,2312,2330,2331,2332,2333,2345,2346,2347,2348,2349,2352,
2354,2370,2373,2376,2387,2394,2407,2409,2418,2420,2430,2433,2436,2444,2446,
2447,2454,2465,2532,2535,2537,2547,2567,2568,2569,2570,2574,2575,2577,2579,
2580,2583,2587,2588,2590,2758,2765,2766,2770,2772,2775,2776,2777,2779,2783,
2784,2787,2788,2791,2794,2795,2797,2799,2800,2801,2802,2803,2804,2805,2808,
2811,2812,2813,2816,2818,2822,2825,2832,2833,2841,2844,2845,2849,2850,2852,
2856,2877,2883,2886,2888,2935,2943,2947,3047,3048,3103,3157,3158,3160,3163,
3165,3166,3170,3171,3186,3193,3199,3200,3203,3205,3208,3210,3211,3212,3214,
3215,3216,3221,3229,3233,3235,3237,3239,3241,3243,3306,3311,3314,3321,3323,
3327,3333,3336,3337,3338,3347,3349,3353,3368,3371,3374,3376,3378,3381,3387,
3420,3478,3479,3490,3491,3607,3610,3613,3617,3619,3634,3638,3646,3665,3681,
3687,3690,3692,3693,3703,3707,3713,3724,3728,3771,3781,3782,3873,3874,3878,
3879,3881,3882,3883,3884,3886,3887,3889,3942,3946,3957,3970,3989,4020,4042,
4125,4132,4133,4138,4140,4141,4143,4144,4147,4149,4168,4172,4234,4236,4293,
4301,4309,4311,4345,4347,4366,4367,4399,4420,4430,4432,4433,4434,4462,4474,
4489,4490,4509],[1,2,3,4,5,6,7,8,9,10,12,13,15,16,17,19,20,21,22,23,26,28,29,
30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,52,55,56,62,65,68,
70,71,73,75,76,77,79,80,87,92,106,107,108,109,118,120,121,122,123,124,125,126,
130,131,132,135,136,139,140,141,142,143,145,146,153,154,155,156,158,159,160,
161,162,163,164,165,166,168,169,170,172,173,174,175,176,177,178,179,180,181,
182,183,184,185,186,187,188,189,190,191,192,193,194,195,197,198,199,200,201,
203,204,205,206,208,209,210,213,214,215,216,231,232,262,268,270,275,278,279,
281,283,338,366,367,369,370,372,373,374,375,376,377,378,379,380,381,382,383,
384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,
405,407,408,409,410,414,416,424,425,429,430,431,439,440,441,442,443,445,446,
447,449,452,453,455,457,461,464,467,470,471,474,475,480,481,482,483,484,485,
486,487,488,489,491,496,497,498,499,500,502,504,505,507,511,514,522,525,526,
527,528,529,532,533,534,535,537,544,546,547,548,549,550,551,552,553,554,555,
556,557,558,560,561,562,564,569,570,574,575,578,580,581,582,583,589,590,591,
592,593,595,596,598,602,603,604,605,607,609,610,613,617,620,623,629,630,631,
632,647,650,651,653,655,656,658,659,660,661,664,761,848,849,857,858,859,860,
861,862,863,864,865,866,867,868,869,870,871,877,878,879,880,881,882,883,884,
885,886,887,888,889,890,891,892,893,894,895,897,898,899,900,901,903,904,905,
906,908,909,910,911,913,914,915,916,918,919,921,922,923,924,925,926,927,928,
929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,
949,951,952,953,954,955,958,959,960,961,962,978,988,993,994,997,1028,1030,1032
,1033,1035,1036,1037,1038,1051,1053,1071,1073,1078,1080,1083,1085,1086,1087,
1089,1098,1113,1127,1133,1134,1135,1145,1160,1161,1162,1163,1164,1165,1166,
1168,1170,1172,1175,1181,1182,1198,1202,1215,1216,1221,1227,1238,1245,1250,
1256,1293,1294,1295,1296,1297,1300,1301,1302,1303,1304,1305,1306,1307,1308,
1317,1318,1319,1320,1321,1322,1323,1343,1344,1352,1353,1354,1361,1362,1364,
1366,1367,1368,1369,1371,1375,1377,1380,1382,1383,1384,1385,1386,1512,1514,
1515,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,1530,
1531,1536,1540,1552,1553,1554,1555,1562,1563,1564,1566,1567,1568,1569,1572,
1573,1574,1575,1577,1578,1581,1582,1584,1585,1588,1589,1590,1591,1592,1593,
1595,1596,1597,1598,1599,1601,1602,1607,1614,1615,1618,1619,1620,1621,1622,
1623,1624,1625,1626,1629,1630,1631,1632,1633,1634,1636,1637,1638,1639,1640,
1642,1645,1646,1649,1650,1651,1652,1653,1654,1655,1656,1658,1659,1660,1661,
1662,1663,1664,1666,1668,1669,1670,1671,1673,1674,1675,1676,1678,1679,1680,
1681,1682,1683,1684,1685,1686,1687,1688,1690,1691,1692,1693,1694,1700,1701,
1702,1703,1704,1705,1706,1707,1709,1710,1711,1761,1790,1805,1809,1810,1811,
1812,1813,1815,1881,1889,1999,2011,2085,2087,2090,2091,2093,2094,2095,2097,
2099,2101,2103,2104,2105,2106,2107,2108,2109,2110,2116,2117,2118,2119,2120,
2121,2122,2123,2127,2128,2129,2130,2131,2132,2133,2134,2135,2137,2138,2139,
2140,2142,2143,2144,2145,2147,2149,2166,2168,2169,2178,2179,2180,2209,2210,
2211,2212,2213,2217,2221,2227,2229,2231,2232,2235,2237,2238,2239,2313,2322,
2323,2324,2325,2326,2327,2328,2329,2330,2332,2334,2338,2339,2340,2341,2345,
2346,2347,2349,2353,2355,2356,2357,2369,2371,2372,2374,2380,2389,2395,2396,
2407,2410,2412,2417,2421,2422,2430,2431,2432,2434,2435,2437,2442,2443,2445,
2446,2448,2449,2450,2451,2452,2453,2454,2462,2463,2464,2532,2535,2536,2537,
2547,2567,2568,2569,2570,2574,2575,2576,2578,2580,2584,2586,2589,2590,2762,
2767,2768,2769,2770,2772,2773,2774,2775,2776,2777,2778,2779,2780,2781,2782,
2783,2785,2788,2789,2790,2793,2794,2795,2796,2797,2798,2799,2800,2801,2802,
2803,2804,2805,2806,2807,2811,2812,2813,2814,2815,2816,2817,2818,2819,2823,
2824,2825,2826,2838,2839,2842,2843,2845,2846,2847,2848,2849,2850,2852,2853,
2854,2855,2878,2884,2887,2888,2889,2891,2936,2942,2948,3032,3049,3050,3102,
3104,3157,3158,3159,3160,3165,3166,3167,3170,3171,3186,3193,3201,3203,3204,
3205,3208,3209,3210,3211,3212,3214,3215,3217,3218,3222,3230,3233,3234,3238,
3240,3241,3242,3307,3312,3313,3315,3322,3324,3325,3326,3334,3335,3336,3337,
3338,3339,3340,3346,3348,3350,3351,3352,3368,3369,3371,3372,3373,3375,3376,
3377,3379,3380,3382,3383,3388,3422,3478,3479,3490,3491,3607,3612,3613,3617,
3618,3619,3620,3634,3639,3647,3666,3681,3688,3689,3690,3693,3694,3696,3704,
3711,3714,3723,3729,3772,3783,3784,3785,3873,3874,3878,3879,3881,3882,3883,
3884,3885,3888,3890,3943,3947,3948,3957,3958,3969,3990,4022,4042,4127,4132,
4133,4137,4139,4142,4143,4145,4146,4148,4168,4173,4234,4236,4295,4300,4310,
4311,4345,4346,4366,4367,4401,4419,4431,4432,4433,4435,4462,4473,4489,4491,
4510],[1,2,4,5,6,7,8,9,10,12,13,19,22,23,25,26,28,29,32,35,38,39,40,41,43,44,
48,50,65,73,75,76,77,103,107,108,110,118,120,121,122,123,124,125,126,130,132,
136,139,140,141,142,143,145,146,153,154,155,156,159,160,162,168,173,174,179,
180,188,189,194,195,199,201,202,203,204,205,206,208,214,215,216,247,249,281,
331,339,350,351,366,369,373,374,375,376,377,378,379,381,383,386,387,390,393,
405,407,408,414,416,417,429,436,438,439,440,441,442,443,445,446,447,449,452,
457,464,467,470,471,474,482,483,484,485,496,497,498,500,505,507,522,528,551,
556,557,561,569,574,585,593,595,607,609,612,613,615,620,621,629,630,631,632,
648,650,651,656,658,660,661,810,848,849,852,853,854,855,856,857,858,859,860,
861,862,863,864,865,866,867,868,869,870,871,881,884,903,904,906,911,913,914,
915,918,919,924,925,926,930,937,938,942,944,945,953,955,958,959,960,961,990,
997,1011,1033,1036,1037,1038,1078,1080,1098,1117,1118,1119,1137,1139,1142,1144
,1168,1181,1188,1194,1195,1202,1241,1260,1293,1294,1296,1297,1305,1306,1307,
1308,1317,1319,1343,1344,1353,1354,1361,1362,1366,1371,1382,1383,1384,1385,
1386,1512,1515,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,
1530,1531,1552,1554,1562,1564,1566,1569,1577,1578,1584,1592,1593,1595,1601,
1602,1606,1607,1608,1609,1629,1634,1642,1654,1656,1658,1664,1669,1673,1678,
1680,1682,1684,1685,1686,1687,1690,1691,1704,1705,1783,1790,1803,1810,1811,
1812,1914,1915,1918,2028,2085,2097,2098,2099,2101,2103,2104,2105,2106,2107,
2108,2109,2110,2116,2118,2120,2121,2127,2128,2131,2147,2148,2149,2166,2168,
2179,2180,2211,2212,2229,2238,2239,2304,2305,2330,2332,2345,2346,2347,2349,
2407,2425,2427,2428,2429,2430,2438,2439,2446,2454,2532,2535,2547,2567,2568,
2569,2570,2574,2575,2580,2581,2582,2585,2590,2770,2772,2775,2776,2777,2779,
2783,2795,2797,2799,2800,2801,2802,2803,2804,2805,2809,2810,2811,2812,2813,
2816,2818,2820,2821,2825,2845,2849,2850,2851,2852,2881,2888,2902,2903,2944,
3074,3106,3157,3158,3161,3162,3170,3171,3186,3193,3203,3205,3208,3210,3211,
3212,3214,3215,3223,3233,3236,3241,3310,3317,3318,3319,3328,3329,3330,3331,
3332,3336,3337,3338,3341,3363,3364,3368,3371,3376,3448,3478,3479,3490,3491,
3607,3615,3617,3619,3634,3662,3681,3690,3693,3722,3730,3795,3798,3799,3800,
3873,3874,3878,3879,3881,3882,3883,3884,3949,3952,3953,3957,4018,4042,4130,
4131,4132,4133,4134,4143,4168,4186,4234,4236,4290,4311,4344,4345,4366,4367,
4398,4421,4432,4433,4462,4489,4511],[1,3,4,7,8,14,18,20,21,24,25,27,34,36,38,
39,46,47,53,59,72,83,85,88,90,93,95,96,98,104,114,116,117,119,123,127,133,134,
137,138,147,149,150,152,167,196,197,198,276,292,315,320,327,348,354,356,358,
360,363,364,371,373,400,403,404,418,419,434,456,463,466,468,512,517,519,563,
566,568,637,672,770,782,815,820,823,824,850,853,875,902,908,998,1088,1109,1266
,1276,1277,1312,1314,1333,1334,1346,1348,1349,1350,1441,1543,1547,1556,1561,
1605,1695,1697,1834,2063,2065,2067,2160,2171,2173,2176,2177,2182,2459,2461,
2634,2735,2753,2755,2894,3194,3197,3390,3394,3653,3654,3667,3670,3697,3698,
3725,3727,4036,4037,4374,4376,4512],[1,3,4,7,8,14,18,20,21,24,25,27,34,36,38,
39,46,47,53,58,72,84,85,88,90,93,94,96,97,104,114,116,117,119,122,127,133,134,
137,138,147,149,150,152,167,196,197,198,276,291,314,319,327,348,354,356,358,
359,363,365,371,374,399,403,404,418,419,434,456,463,465,468,512,516,519,563,
566,567,636,673,771,781,815,819,822,824,850,854,875,902,909,998,1088,1108,1266
,1276,1278,1313,1315,1332,1334,1346,1347,1349,1350,1440,1543,1548,1556,1560,
1605,1695,1698,1835,2064,2065,2068,2159,2172,2174,2176,2177,2183,2459,2460,
2633,2734,2752,2754,2893,3194,3198,3391,3395,3653,3654,3667,3671,3697,3699,
3726,3727,4035,4037,4374,4375,4513],[1,2,4,5,6,9,10,11,12,13,22,24,26,27,28,29
,31,40,42,48,49,50,51,57,73,74,78,82,96,100,101,102,118,130,135,136,139,140,
141,144,153,168,172,199,215,216,217,218,236,237,238,257,258,259,316,366,380,
381,414,420,421,422,423,424,437,438,439,445,446,447,448,450,451,474,500,501,
503,565,627,650,659,660,661,663,664,671,687,688,716,717,847,848,857,876,877,
967,968,969,970,985,1002,1003,1004,1005,1006,1007,1008,1038,1039,1058,1069,
1070,1084,1115,1291,1335,1343,1344,1351,1356,1357,1358,1359,1360,1373,1374,
1375,1388,1512,1535,1712,1720,1731,1732,1733,1749,1750,1751,1769,1811,1813,
1814,1817,1818,1832,1845,1851,2083,2084,2166,2167,2192,2193,2194,2196,2197,
2198,2199,2200,2201,2218,2228,2294,2469,2472,2478,2479,2499,2500,2547,2548,
2549,2567,2573,2578,2579,2581,2591,2595,2899,2900,2908,2909,2910,2915,2964,
2965,2976,3115,3116,3121,3138,3193,3199,3226,3227,3426,3427,3431,3458,3461,
3493,3586,3587,3665,3684,3752,3753,3756,3810,3839,3856,3978,3996,4017,4079,
4082,4168,4214,4255,4348,4417,4447,4514],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16
,17,19,21,22,23,24,25,26,28,29,30,31,32,33,35,37,38,40,41,42,44,45,46,48,49,50
,51,52,54,55,57,62,63,64,65,66,67,68,69,70,73,74,75,76,77,78,79,80,81,82,85,86
,89,90,91,96,99,100,101,102,103,104,105,108,109,110,113,114,118,120,121,130,
132,136,139,140,141,143,144,145,148,153,155,156,157,160,162,165,168,169,170,
171,172,173,174,175,176,179,180,181,184,185,186,187,189,192,195,199,201,202,
204,206,207,214,215,216,218,220,228,229,232,233,234,236,237,238,242,243,244,
245,247,254,255,257,258,259,264,265,266,273,274,281,283,284,285,286,287,290,
300,301,302,303,304,305,316,326,327,328,329,330,336,340,343,344,366,369,372,
378,379,380,381,382,383,386,387,388,389,390,391,392,405,409,414,416,429,439,
440,442,445,446,447,448,449,450,451,452,453,457,458,459,460,464,469,471,472,
474,476,478,482,483,484,485,490,492,495,497,500,501,502,503,504,505,507,508,
509,510,513,520,521,522,524,528,529,531,532,533,538,539,540,542,543,544,545,
546,549,556,557,565,566,569,573,576,577,584,587,588,593,594,600,601,606,607,
611,612,613,614,615,618,619,622,624,629,650,651,652,656,660,663,667,671,684,
685,686,687,688,691,692,693,694,695,696,700,701,716,717,719,720,721,723,724,
756,767,768,784,788,796,829,848,849,857,865,866,867,868,873,876,877,878,879,
880,881,884,885,887,889,890,903,906,911,918,923,924,930,935,939,942,945,946,
955,958,997,1033,1037,1038,1039,1045,1047,1049,1051,1055,1058,1059,1067,1069,
1070,1071,1072,1073,1074,1075,1076,1078,1080,1084,1090,1091,1092,1093,1094,
1097,1098,1103,1114,1115,1117,1119,1121,1122,1127,1128,1129,1130,1136,1146,
1152,1154,1157,1158,1159,1168,1179,1180,1186,1188,1190,1196,1197,1202,1204,
1205,1209,1213,1217,1225,1226,1231,1232,1233,1236,1242,1244,1247,1252,1255,
1258,1259,1261,1265,1267,1268,1269,1271,1273,1274,1282,1294,1296,1300,1305,
1317,1318,1335,1343,1344,1351,1353,1354,1361,1366,1378,1383,1388,1390,1391,
1392,1393,1395,1408,1427,1432,1487,1489,1512,1515,1516,1518,1526,1527,1528,
1532,1533,1535,1536,1537,1538,1562,1564,1571,1577,1579,1580,1584,1585,1587,
1593,1602,1603,1604,1607,1625,1628,1629,1630,1642,1644,1647,1654,1658,1669,
1685,1689,1691,1704,1810,1814,1816,1817,1818,1819,1824,1825,1829,1832,1833,
1841,1845,1846,1847,1851,1855,1856,1857,1867,1871,1877,1887,1899,1902,1907,
1922,1925,1926,1928,1957,1958,1961,1962,1965,1966,1967,1970,1975,1978,1980,
1982,1984,1989,1991,1992,1993,2008,2010,2039,2053,2055,2056,2059,2090,2092,
2097,2103,2127,2128,2130,2136,2138,2139,2141,2147,2164,2166,2167,2168,2169,
2179,2180,2211,2220,2238,2246,2294,2300,2301,2307,2314,2316,2319,2320,2330,
2332,2335,2342,2343,2344,2346,2350,2384,2387,2394,2397,2398,2403,2406,2407,
2411,2413,2416,2417,2423,2425,2446,2466,2547,2548,2549,2550,2553,2567,2568,
2569,2575,2587,2588,2591,2592,2593,2595,2596,2597,2598,2605,2616,2617,2623,
2626,2628,2645,2666,2667,2685,2686,2688,2694,2696,2697,2699,2715,2759,2783,
2789,2791,2799,2834,2835,2841,2845,2850,2888,2890,2965,2966,2971,2972,2976,
2977,2978,2982,2984,3007,3011,3012,3018,3019,3021,3023,3040,3046,3051,3053,
3065,3079,3082,3089,3092,3093,3186,3187,3190,3191,3193,3199,3202,3203,3205,
3208,3210,3214,3216,3221,3237,3257,3260,3279,3308,3371,3385,3479,3480,3486,
3490,3493,3496,3497,3501,3522,3530,3531,3533,3542,3545,3546,3555,3562,3563,
3570,3575,3580,3665,3666,3681,3690,3691,3707,3757,3759,3761,3776,3780,3872,
3873,3877,3878,3882,3886,3889,3903,3920,3929,3978,3991,4058,4060,4062,4067,
4071,4126,4132,4141,4147,4168,4195,4243,4274,4294,4311,4366,4377,4432,4447,
4479,4494,4515],[1,2,4,5,6,8,9,10,11,12,13,19,20,22,23,24,26,28,29,31,32,35,40
,41,42,43,44,46,48,49,50,51,57,65,71,73,74,75,76,77,78,82,87,88,96,100,101,102
,107,108,116,118,120,121,130,132,136,139,140,141,143,144,145,148,153,155,156,
157,158,159,160,161,162,163,164,168,172,173,174,177,178,189,199,205,206,207,
208,212,215,216,218,219,221,236,237,238,239,240,241,257,258,259,260,261,262,
263,280,281,282,316,331,332,346,347,352,358,362,366,369,380,381,383,386,387,
388,389,390,405,407,408,409,414,429,439,440,442,445,446,447,448,449,450,451,
452,474,479,500,501,503,505,506,507,508,513,520,521,522,523,524,525,528,536,
562,565,566,569,570,571,572,573,574,576,577,578,579,586,597,611,618,619,620,
621,622,626,629,650,651,652,656,660,663,671,687,688,689,690,716,717,718,742,
743,769,778,799,800,809,813,821,848,849,857,865,866,867,868,873,876,877,882,
884,911,915,916,918,929,930,931,932,936,937,938,942,945,946,955,961,987,1027,
1029,1034,1038,1039,1041,1045,1046,1050,1052,1058,1059,1066,1067,1068,1069,
1070,1078,1080,1081,1082,1083,1084,1115,1137,1138,1139,1142,1156,1217,1218,
1219,1220,1221,1222,1223,1224,1225,1226,1228,1229,1230,1231,1232,1233,1234,
1235,1271,1272,1275,1279,1287,1293,1294,1296,1317,1318,1335,1343,1344,1351,
1361,1362,1366,1378,1383,1388,1389,1435,1446,1447,1456,1462,1512,1535,1539,
1562,1563,1564,1565,1566,1571,1577,1579,1580,1584,1602,1607,1617,1618,1642,
1643,1644,1647,1658,1665,1669,1672,1675,1678,1689,1699,1708,1810,1814,1816,
1817,1818,1832,1833,1845,1847,1851,1852,1874,1875,1882,1907,1913,1920,1921,
1922,1923,1924,1925,1934,1948,1950,1957,1958,1959,1969,2018,2022,2023,2026,
2040,2057,2097,2098,2103,2116,2117,2120,2136,2137,2139,2141,2166,2167,2179,
2180,2208,2226,2236,2256,2294,2300,2301,2307,2309,2310,2311,2350,2376,2387,
2389,2390,2391,2392,2393,2394,2397,2398,2427,2465,2467,2547,2548,2549,2550,
2553,2567,2568,2569,2574,2587,2588,2591,2595,2615,2616,2629,2630,2631,2650,
2676,2700,2701,2705,2710,2783,2811,2820,2822,2823,2840,2841,2845,2883,2886,
2965,2976,2978,2992,2995,3011,3012,3014,3015,3017,3023,3052,3053,3073,3076,
3082,3083,3185,3193,3199,3208,3214,3215,3216,3220,3221,3239,3253,3297,3308,
3362,3378,3479,3480,3486,3490,3493,3505,3517,3544,3546,3547,3579,3580,3665,
3681,3687,3712,3713,3757,3773,3776,3871,3878,3881,3886,3889,3894,3925,3978,
3989,4053,4059,4062,4129,4141,4149,4168,4242,4274,4283,4309,4366,4434,4447,
4478,4494,4516],[1,2,4,5,6,8,9,10,11,12,13,19,20,22,23,24,26,28,29,31,32,34,35
,38,40,41,42,44,46,48,49,50,51,57,65,71,73,74,75,76,77,78,82,87,88,96,100,101,
102,107,108,116,118,120,121,130,132,136,139,140,141,143,144,145,148,153,155,
156,157,160,162,163,168,172,173,174,177,178,179,180,188,189,190,197,199,201,
206,207,212,215,216,218,219,221,236,237,238,239,240,241,257,258,259,260,261,
262,263,280,281,282,316,331,332,346,347,352,358,362,366,367,369,378,379,380,
381,384,385,386,387,388,389,405,409,414,429,439,440,442,445,446,447,448,449,
450,451,452,454,457,464,474,479,482,483,484,485,494,500,501,503,505,507,508,
513,520,521,522,524,528,536,551,556,557,559,560,562,565,566,569,573,576,577,
586,593,597,607,608,611,613,616,618,619,622,625,629,650,651,656,658,660,661,
671,687,688,689,690,716,717,718,742,743,769,778,799,800,809,813,821,848,849,
857,865,866,867,868,873,876,877,882,883,884,891,892,893,906,911,918,919,927,
929,930,946,947,955,987,1027,1031,1038,1039,1041,1045,1050,1058,1059,1067,1069
,1070,1078,1080,1081,1082,1083,1084,1098,1104,1111,1115,1125,1126,1139,1156,
1167,1168,1169,1183,1185,1191,1192,1202,1203,1206,1207,1208,1217,1225,1226,
1231,1232,1233,1243,1246,1254,1263,1264,1270,1271,1275,1276,1280,1288,1294,
1295,1305,1317,1318,1335,1343,1344,1351,1361,1366,1371,1383,1388,1389,1435,
1446,1447,1456,1462,1512,1513,1515,1518,1535,1539,1552,1562,1564,1571,1577,
1579,1580,1584,1586,1592,1593,1607,1613,1617,1618,1639,1642,1644,1647,1648,
1658,1689,1810,1811,1812,1817,1818,1832,1833,1845,1847,1851,1852,1874,1875,
1882,1891,1907,1913,1922,1925,1934,1944,1948,1957,1958,1973,1981,1988,1990,
2009,2017,2032,2036,2044,2052,2060,2086,2087,2097,2103,2128,2129,2136,2139,
2140,2147,2166,2167,2179,2180,2208,2230,2256,2294,2300,2301,2307,2311,2312,
2330,2331,2332,2333,2350,2370,2376,2387,2394,2397,2398,2400,2407,2408,2409,
2418,2420,2455,2547,2548,2549,2550,2553,2567,2568,2569,2580,2588,2591,2595,
2616,2627,2629,2631,2632,2650,2673,2679,2681,2703,2706,2758,2770,2783,2787,
2788,2832,2833,2841,2850,2883,2886,2965,2976,2978,2990,2992,3004,3011,3012,
3023,3047,3048,3053,3056,3061,3064,3070,3082,3185,3193,3199,3200,3208,3210,
3211,3214,3216,3229,3253,3281,3308,3311,3387,3479,3480,3486,3490,3493,3505,
3517,3543,3546,3548,3571,3580,3665,3681,3687,3692,3757,3776,3777,3870,3878,
3883,3886,3894,3917,3978,3989,4055,4057,4062,4125,4132,4138,4141,4168,4247,
4274,4293,4309,4366,4430,4447,4478,4494,4517],[1,2,3,4,5,6,8,9,10,11,12,13,14,
15,16,17,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,38,40,41,42,44,45,46,
48,50,51,52,53,54,55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,
82,87,88,89,90,91,92,93,100,101,103,104,105,106,107,108,109,110,118,120,121,
130,131,132,135,136,139,140,141,143,144,145,147,148,153,155,156,157,158,159,
160,161,162,163,165,166,168,169,170,171,172,173,174,175,176,177,178,179,180,
181,182,183,184,185,186,187,188,189,190,195,197,199,200,201,202,204,205,206,
207,208,209,212,213,214,215,218,219,221,227,228,229,230,231,232,233,234,236,
237,239,240,241,242,243,244,245,246,247,248,249,257,258,260,261,262,263,264,
265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,
284,285,286,287,288,289,290,331,332,336,337,338,339,340,346,347,350,351,366,
367,369,378,379,380,381,382,383,384,385,386,387,388,389,405,409,414,415,416,
417,420,422,423,424,425,426,427,428,429,430,431,433,436,438,439,440,442,445,
446,447,448,449,450,452,453,454,455,456,457,460,464,468,471,472,474,475,476,
477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,497,
498,500,501,502,504,505,507,508,510,511,512,521,522,523,524,525,526,527,528,
529,530,531,532,533,534,535,536,537,538,539,540,541,543,544,545,546,547,548,
549,550,551,552,553,554,555,556,557,559,560,561,562,569,570,571,572,574,575,
576,577,578,579,581,582,583,584,585,586,587,588,589,590,591,592,593,595,597,
598,599,600,602,603,604,605,606,607,608,609,612,613,615,616,617,618,619,620,
621,623,629,643,644,645,646,647,648,649,650,652,656,660,663,665,667,668,688,
689,690,694,695,696,697,698,699,700,701,702,703,704,734,737,740,741,742,743,
755,756,757,758,759,760,761,762,763,764,765,766,767,769,772,773,774,784,785,
786,787,788,799,800,801,802,803,804,805,806,809,810,811,812,848,849,852,857,
865,866,867,868,873,876,877,878,879,880,881,882,883,884,891,892,893,894,895,
906,911,915,918,919,924,927,929,930,939,942,943,945,946,947,954,955,958,961,
968,969,971,977,978,979,980,981,982,983,984,986,987,988,989,990,991,992,993,
994,997,1000,1003,1006,1007,1011,1012,1016,1017,1019,1020,1021,1022,1027,1028,
1029,1031,1033,1034,1037,1039,1040,1041,1045,1046,1047,1048,1049,1050,1051,
1053,1058,1059,1060,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,
1077,1078,1079,1080,1081,1082,1083,1085,1086,1087,1088,1089,1090,1098,1103,
1104,1111,1115,1116,1117,1118,1119,1122,1123,1124,1125,1126,1127,1128,1129,
1130,1131,1132,1133,1134,1135,1137,1138,1139,1140,1142,1144,1145,1146,1147,
1148,1149,1150,1151,1152,1153,1154,1155,1156,1160,1161,1162,1163,1164,1165,
1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,
1181,1183,1184,1185,1186,1187,1188,1189,1191,1192,1193,1194,1195,1196,1197,
1198,1199,1200,1201,1202,1203,1206,1207,1208,1209,1210,1211,1212,1213,1214,
1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1227,1228,1229,1230,
1231,1232,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1245,1246,1247,
1248,1249,1250,1251,1252,1253,1254,1256,1257,1258,1259,1260,1261,1262,1263,
1264,1294,1295,1305,1317,1318,1336,1337,1338,1339,1340,1341,1342,1343,1344,
1351,1353,1356,1361,1366,1370,1374,1376,1378,1383,1413,1414,1417,1431,1432,
1433,1456,1457,1458,1459,1460,1461,1467,1468,1492,1512,1513,1514,1515,1518,
1526,1527,1528,1533,1535,1536,1537,1538,1539,1540,1541,1542,1552,1554,1562,
1563,1564,1566,1567,1568,1571,1577,1579,1584,1585,1586,1588,1589,1592,1593,
1602,1603,1606,1607,1608,1609,1613,1614,1617,1618,1626,1627,1628,1629,1630,
1631,1632,1633,1639,1642,1644,1646,1648,1653,1654,1655,1658,1659,1665,1666,
1668,1669,1672,1674,1678,1680,1682,1684,1685,1691,1694,1699,1702,1703,1704,
1708,1709,1715,1719,1721,1722,1723,1724,1725,1726,1732,1735,1739,1742,1743,
1752,1753,1754,1755,1759,1760,1761,1775,1776,1777,1778,1781,1782,1783,1784,
1797,1798,1799,1801,1803,1804,1805,1806,1807,1808,1818,1824,1826,1829,1830,
1840,1841,1842,1843,1851,1852,1853,1854,1855,1856,1857,1858,1859,1860,1861,
1862,1863,1864,1866,1867,1870,1871,1872,1873,1874,1875,1876,1877,1878,1879,
1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,1902,1904,1910,
1911,1912,1913,1914,1915,1916,1917,1918,1920,1921,1923,1924,1925,1927,1928,
1929,1930,1931,1932,1933,1934,1935,1936,1937,1938,1939,1942,1943,1944,1945,
1946,1947,1948,1950,1952,1953,1954,1955,1960,1961,1962,1963,1964,1968,1970,
1972,1974,1975,1976,1977,1978,1979,1981,1982,1983,1984,1985,1986,1987,1988,
1993,1994,1995,1996,1997,1998,1999,2000,2001,2002,2003,2004,2005,2006,2007,
2008,2009,2011,2012,2013,2014,2015,2016,2017,2018,2022,2023,2024,2025,2026,
2027,2028,2029,2030,2031,2033,2034,2035,2036,2041,2042,2043,2044,2046,2047,
2049,2050,2051,2052,2086,2087,2097,2103,2128,2129,2136,2139,2140,2147,2165,
2166,2167,2168,2169,2178,2179,2180,2185,2186,2192,2197,2202,2208,2211,2216,
2220,2226,2230,2236,2238,2274,2294,2295,2300,2301,2304,2305,2307,2309,2311,
2312,2313,2314,2315,2322,2323,2324,2329,2330,2331,2332,2333,2334,2335,2345,
2346,2350,2352,2353,2354,2355,2358,2360,2361,2362,2363,2364,2365,2369,2370,
2373,2374,2376,2377,2378,2379,2380,2381,2382,2383,2384,2387,2389,2393,2394,
2395,2398,2400,2403,2407,2408,2409,2412,2413,2417,2418,2420,2421,2425,2427,
2428,2429,2430,2432,2433,2435,2436,2438,2439,2444,2445,2446,2447,2452,2453,
2462,2465,2473,2474,2488,2489,2491,2506,2507,2524,2525,2526,2527,2547,2551,
2552,2554,2557,2558,2560,2562,2563,2564,2565,2566,2567,2568,2609,2610,2611,
2612,2623,2625,2640,2641,2647,2648,2650,2651,2652,2653,2654,2655,2656,2657,
2658,2659,2660,2661,2662,2664,2665,2667,2668,2669,2670,2671,2681,2682,2683,
2687,2688,2692,2693,2702,2710,2714,2718,2719,2721,2722,2724,2725,2727,2730,
2758,2770,2782,2783,2787,2788,2799,2811,2832,2833,2841,2843,2845,2850,2873,
2875,2876,2877,2878,2879,2880,2881,2882,2883,2884,2885,2886,2887,2888,2889,
2890,2891,2895,2896,2902,2903,2905,2908,2912,2921,2922,2929,2935,2946,2947,
2965,2966,2967,2970,2971,2972,2984,2986,2989,2990,2992,2993,2994,2995,3000,
3001,3004,3007,3008,3012,3014,3015,3019,3021,3024,3025,3026,3027,3030,3031,
3032,3033,3044,3045,3046,3047,3048,3050,3052,3053,3056,3058,3061,3064,3065,
3066,3070,3071,3073,3074,3076,3078,3079,3083,3085,3089,3090,3092,3095,3096,
3097,3098,3099,3100,3101,3102,3103,3105,3106,3108,3144,3186,3188,3192,3193,
3199,3200,3203,3208,3210,3214,3216,3221,3283,3290,3291,3308,3311,3312,3317,
3328,3336,3347,3348,3371,3377,3378,3382,3387,3401,3402,3404,3405,3406,3407,
3408,3409,3411,3412,3415,3417,3418,3419,3420,3421,3422,3423,3424,3433,3434,
3436,3437,3439,3440,3442,3444,3447,3448,3449,3450,3455,3469,3470,3479,3482,
3484,3487,3505,3506,3510,3511,3512,3513,3516,3522,3525,3527,3528,3531,3537,
3538,3539,3550,3554,3555,3556,3558,3560,3564,3565,3568,3571,3572,3576,3579,
3581,3656,3657,3662,3665,3666,3674,3675,3681,3687,3690,3692,3703,3707,3713,
3757,3759,3761,3764,3773,3777,3782,3783,3786,3787,3793,3798,3812,3813,3819,
3821,3836,3837,3841,3847,3848,3849,3850,3851,3854,3873,3875,3878,3907,3909,
3927,3980,3981,3982,3983,3984,3985,3989,3990,3991,3994,3997,4004,4007,4008,
4012,4018,4020,4053,4055,4060,4064,4068,4073,4097,4120,4125,4132,4141,4168,
4198,4199,4200,4201,4202,4206,4212,4216,4220,4223,4224,4226,4229,4248,4276,
4278,4293,4309,4310,4311,4331,4339,4366,4380,4382,4385,4396,4397,4398,4399,
4400,4401,4402,4430,4432,4434,4443,4448,4449,4450,4451,4452,4453,4454,4471,
4474,4480,4495,4498,4499,4518],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,
20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,
47,48,50,51,52,53,54,55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,
81,82,87,88,89,90,91,92,93,100,101,103,104,105,106,107,108,109,110,118,121,124
,125,126,130,131,132,135,136,139,140,141,142,143,145,146,147,150,151,153,154,
155,156,157,158,159,160,161,162,163,164,165,166,168,169,170,171,172,173,174,
175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,
194,195,197,198,199,200,201,202,203,204,205,206,207,208,209,210,212,213,214,
216,218,219,221,227,228,229,230,231,232,233,234,236,237,239,240,241,242,243,
244,245,246,247,248,249,257,258,260,261,262,263,264,265,266,267,268,269,270,
271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,
290,331,332,336,337,338,339,340,346,347,350,351,366,367,369,370,372,375,376,
377,379,380,381,382,383,384,386,387,388,390,391,393,394,397,398,401,402,405,
408,409,410,414,415,416,417,420,422,423,424,425,426,427,428,429,430,431,433,
436,438,439,441,443,445,446,447,448,449,452,453,454,455,456,457,458,461,462,
463,464,467,468,470,471,473,474,475,476,477,478,479,480,481,482,483,484,485,
486,487,488,489,490,491,492,493,494,496,497,498,499,500,501,502,504,505,506,
507,508,511,512,514,515,521,522,523,524,525,526,527,528,529,530,531,532,533,
534,535,536,537,538,539,540,541,543,544,545,546,547,548,549,550,551,552,553,
554,555,556,557,558,559,560,561,562,564,569,570,571,572,574,575,576,577,578,
579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,595,596,597,598,
599,600,602,603,604,605,606,607,608,609,610,612,613,615,616,617,618,619,620,
621,623,631,643,644,645,646,647,648,649,651,653,655,658,659,661,664,665,667,
668,688,689,690,694,695,696,697,698,699,700,701,702,703,704,734,737,740,741,
742,743,755,756,757,758,759,760,761,762,763,764,765,766,767,769,772,773,774,
784,785,786,787,788,799,800,801,802,803,804,805,806,809,810,811,812,848,849,
852,857,860,861,862,863,865,866,869,870,871,874,876,877,878,879,880,881,882,
883,884,885,886,887,888,889,891,892,894,895,897,898,901,903,904,905,906,910,
911,914,915,916,918,919,921,922,923,924,926,927,928,929,930,931,933,935,936,
937,938,939,940,942,943,944,945,946,947,949,951,953,954,955,958,960,961,962,
968,969,971,977,978,979,980,981,982,983,984,986,987,988,989,990,991,992,993,
994,997,1000,1003,1006,1007,1011,1012,1016,1017,1019,1020,1021,1022,1027,1028,
1030,1032,1033,1035,1036,1039,1040,1041,1044,1045,1046,1047,1048,1049,1050,
1051,1052,1053,1060,1062,1063,1066,1067,1068,1069,1070,1071,1072,1073,1074,
1075,1076,1077,1078,1079,1080,1081,1082,1083,1085,1086,1087,1088,1089,1095,
1096,1097,1098,1103,1104,1105,1111,1112,1113,1115,1116,1117,1118,1119,1120,
1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1137,
1138,1139,1140,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,
1154,1155,1156,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,
1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,
1187,1188,1189,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,
1203,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,
1220,1221,1222,1223,1224,1225,1227,1228,1229,1230,1231,1232,1234,1235,1236,
1237,1238,1239,1240,1241,1242,1243,1245,1246,1247,1248,1249,1250,1251,1252,
1253,1254,1256,1257,1258,1259,1260,1261,1262,1263,1264,1297,1302,1303,1307,
1319,1320,1322,1336,1337,1338,1339,1340,1341,1342,1343,1344,1352,1354,1357,
1362,1364,1367,1368,1369,1371,1375,1377,1380,1384,1413,1414,1417,1431,1432,
1433,1456,1457,1458,1459,1460,1461,1467,1468,1492,1512,1513,1514,1515,1516,
1517,1518,1519,1522,1523,1525,1526,1529,1530,1531,1534,1535,1536,1537,1538,
1539,1540,1541,1542,1552,1553,1554,1555,1562,1563,1564,1565,1566,1567,1569,
1570,1571,1572,1575,1576,1578,1581,1582,1584,1585,1586,1587,1588,1590,1591,
1592,1593,1594,1595,1596,1599,1600,1601,1606,1607,1608,1609,1613,1614,1615,
1617,1618,1619,1620,1621,1622,1624,1625,1626,1627,1628,1629,1630,1631,1632,
1633,1634,1636,1637,1638,1639,1640,1642,1643,1644,1645,1646,1648,1649,1650,
1651,1653,1654,1655,1656,1658,1659,1660,1662,1663,1664,1665,1666,1668,1669,
1670,1672,1673,1674,1675,1676,1678,1679,1680,1681,1682,1683,1684,1685,1687,
1688,1690,1691,1692,1694,1699,1700,1701,1702,1703,1704,1705,1706,1708,1709,
1710,1711,1715,1719,1721,1722,1723,1724,1725,1726,1732,1735,1739,1742,1743,
1752,1753,1754,1755,1759,1760,1761,1775,1776,1777,1778,1781,1782,1783,1784,
1797,1798,1800,1802,1803,1804,1805,1806,1807,1809,1826,1827,1828,1830,1831,
1840,1841,1842,1843,1851,1852,1853,1854,1855,1856,1857,1858,1859,1860,1861,
1862,1863,1864,1866,1867,1868,1869,1870,1871,1872,1873,1874,1875,1876,1877,
1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,1896,
1898,1903,1904,1910,1911,1912,1913,1914,1915,1916,1917,1918,1919,1920,1921,
1923,1924,1925,1927,1928,1929,1930,1931,1932,1933,1934,1935,1936,1937,1938,
1939,1941,1942,1943,1944,1945,1946,1947,1948,1950,1951,1952,1953,1954,1955,
1960,1961,1962,1963,1964,1968,1970,1972,1974,1975,1976,1977,1978,1979,1981,
1982,1983,1984,1985,1986,1987,1988,1993,1994,1995,1996,1997,1998,1999,2000,
2001,2002,2003,2004,2005,2006,2007,2008,2009,2011,2012,2013,2014,2015,2016,
2017,2018,2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2033,2034,2035,
2036,2041,2042,2043,2044,2046,2047,2049,2050,2051,2052,2093,2094,2099,2105,
2109,2131,2132,2134,2142,2143,2144,2145,2149,2165,2166,2167,2168,2169,2178,
2179,2180,2187,2188,2193,2196,2198,2203,2204,2209,2210,2212,2213,2217,2221,
2227,2231,2237,2239,2274,2295,2296,2297,2298,2299,2304,2305,2307,2308,2309,
2310,2311,2312,2313,2314,2315,2316,2317,2318,2319,2320,2321,2322,2323,2325,
2326,2327,2328,2329,2330,2331,2332,2333,2334,2336,2337,2338,2339,2345,2347,
2348,2349,2351,2352,2353,2354,2355,2356,2357,2358,2360,2361,2362,2363,2364,
2365,2369,2370,2371,2372,2373,2374,2376,2377,2378,2379,2380,2381,2382,2383,
2384,2387,2388,2389,2390,2391,2392,2393,2394,2395,2396,2398,2399,2400,2401,
2402,2403,2404,2405,2406,2407,2408,2409,2410,2412,2413,2414,2415,2416,2417,
2418,2419,2420,2421,2422,2424,2425,2426,2427,2428,2429,2430,2431,2432,2433,
2434,2435,2436,2437,2438,2439,2442,2443,2444,2445,2446,2447,2448,2449,2450,
2452,2453,2454,2462,2463,2464,2465,2473,2474,2488,2489,2491,2506,2507,2524,
2525,2526,2527,2547,2551,2552,2555,2556,2559,2561,2562,2563,2564,2565,2566,
2569,2570,2609,2610,2611,2612,2624,2625,2640,2641,2647,2648,2650,2651,2652,
2653,2654,2655,2656,2657,2658,2659,2660,2661,2662,2663,2664,2665,2667,2668,
2669,2670,2671,2681,2682,2683,2687,2688,2692,2693,2702,2710,2714,2718,2719,
2721,2722,2724,2725,2727,2730,2762,2773,2775,2779,2780,2784,2785,2793,2794,
2800,2803,2812,2814,2838,2839,2842,2844,2846,2848,2849,2852,2873,2875,2876,
2877,2878,2879,2880,2881,2882,2883,2884,2885,2886,2887,2888,2889,2890,2891,
2897,2898,2902,2903,2906,2909,2913,2918,2919,2920,2923,2931,2932,2936,2945,
2948,2967,2968,2969,2970,2973,2974,2975,2985,2986,2988,2989,2990,2991,2993,
2994,2996,2997,2998,2999,3000,3001,3002,3003,3007,3008,3009,3010,3013,3014,
3015,3016,3017,3020,3022,3024,3025,3026,3027,3029,3030,3031,3032,3033,3034,
3035,3036,3037,3038,3039,3040,3041,3042,3043,3044,3045,3046,3047,3048,3049,
3050,3052,3053,3054,3055,3056,3057,3058,3059,3060,3061,3062,3063,3064,3065,
3066,3067,3068,3069,3070,3071,3072,3073,3074,3075,3076,3077,3078,3079,3080,
3081,3083,3084,3085,3086,3087,3088,3089,3090,3091,3092,3094,3095,3096,3097,
3098,3099,3100,3101,3102,3103,3104,3105,3106,3108,3144,3186,3189,3192,3193,
3201,3204,3205,3209,3211,3212,3215,3217,3218,3222,3283,3290,3291,3309,3313,
3314,3315,3319,3329,3337,3339,3346,3349,3350,3372,3374,3375,3376,3379,3380,
3381,3383,3388,3401,3402,3404,3405,3406,3407,3408,3409,3411,3412,3415,3417,
3418,3419,3420,3421,3422,3423,3424,3433,3434,3436,3437,3439,3440,3442,3446,
3447,3448,3449,3451,3456,3466,3467,3468,3471,3478,3483,3485,3488,3506,3507,
3508,3509,3511,3512,3513,3514,3515,3524,3525,3526,3527,3528,3529,3532,3538,
3539,3540,3550,3551,3552,3553,3554,3555,3556,3557,3558,3559,3560,3561,3564,
3565,3566,3567,3568,3569,3571,3572,3573,3574,3576,3577,3578,3579,3581,3656,
3657,3662,3665,3666,3676,3679,3681,3688,3689,3693,3694,3696,3704,3711,3714,
3758,3760,3762,3765,3774,3775,3778,3779,3781,3784,3785,3788,3789,3792,3799,
3812,3813,3819,3821,3836,3837,3841,3847,3848,3849,3850,3851,3855,3874,3876,
3879,3908,3909,3927,3928,3980,3981,3982,3986,3987,3988,3989,3990,3991,3994,
3998,4003,4005,4006,4009,4010,4011,4018,4022,4054,4056,4061,4065,4066,4069,
4070,4072,4097,4122,4127,4133,4142,4168,4198,4199,4200,4201,4204,4207,4213,
4217,4218,4219,4221,4222,4224,4226,4229,4249,4277,4280,4295,4309,4310,4311,
4332,4339,4367,4381,4383,4386,4396,4397,4398,4399,4400,4401,4402,4431,4433,
4435,4444,4448,4449,4450,4451,4452,4453,4454,4472,4473,4480,4496,4497,4500,
4519],[1,2,4,5,6,7,8,9,10,11,12,13,14,19,20,22,23,25,26,27,28,29,32,35,38,39,
40,44,50,57,63,65,71,73,75,76,77,81,87,89,93,103,107,108,110,118,120,121,122,
123,124,125,126,130,132,134,136,139,140,141,143,144,145,146,147,150,153,155,
156,159,173,174,180,188,189,195,201,204,206,208,215,216,218,221,227,242,246,
247,248,249,261,262,263,265,267,281,286,288,289,331,339,350,351,366,369,373,
374,375,376,377,378,379,381,386,387,393,405,420,423,428,429,433,436,438,445,
446,449,452,457,460,462,464,468,470,471,484,485,497,498,500,505,528,551,556,
561,569,574,593,595,607,609,627,629,630,631,632,650,651,656,658,660,661,695,
698,703,742,764,773,801,802,810,848,849,852,853,854,855,856,857,865,866,867,
868,869,870,871,884,904,906,911,915,918,919,924,958,961,971,984,1007,1011,1017
,1021,1022,1038,1039,1040,1041,1048,1058,1060,1062,1072,1077,1078,1079,1080,
1083,1117,1118,1139,1144,1168,1181,1290,1291,1294,1297,1305,1306,1307,1308,
1317,1319,1343,1344,1345,1347,1348,1349,1356,1357,1366,1371,1457,1515,1518,
1526,1527,1528,1529,1530,1531,1552,1554,1562,1564,1566,1569,1584,1592,1593,
1595,1606,1607,1608,1609,1678,1680,1682,1684,1685,1778,1790,1810,1811,1812,
1824,1827,1830,1855,1858,1860,1863,1873,1874,1876,1884,1914,1915,1938,1939,
1948,1954,2080,2097,2099,2103,2109,2128,2131,2147,2149,2179,2180,2185,2187,
2196,2197,2202,2203,2294,2295,2296,2304,2305,2330,2332,2345,2347,2428,2429,
2430,2438,2439,2532,2535,2567,2568,2569,2570,2580,2581,2582,2656,2660,2770,
2775,2799,2800,2811,2812,2850,2852,2873,2875,2877,2879,2902,2903,2922,2923,
2966,2968,2970,2992,2993,3000,3003,3106,3115,3116,3158,3161,3162,3170,3171,
3193,3195,3196,3197,3198,3208,3210,3211,3212,3236,3317,3319,3328,3329,3336,
3337,3434,3436,3490,3491,3508,3510,3512,3584,3585,3615,3634,3674,3675,3676,
3679,3681,3798,3799,3878,3879,3883,3884,3953,3981,3982,4008,4009,4011,4012,
4018,4079,4130,4131,4132,4133,4226,4236,4250,4251,4252,4253,4278,4280,4345,
4382,4383,4421,4457,4458,4520],[1,2,4,5,6,7,8,9,10,12,13,14,19,20,22,23,26,27,
28,29,32,35,38,39,40,41,43,44,48,50,63,65,71,73,75,76,77,81,108,110,118,121,
124,125,126,130,132,134,136,139,140,141,142,143,145,146,147,150,151,153,154,
155,156,158,159,160,161,162,168,171,173,179,180,188,189,194,195,199,201,203,
204,208,214,215,216,221,227,281,286,288,289,339,366,369,375,376,377,379,386,
387,390,393,405,408,414,416,420,423,428,429,433,436,438,439,441,443,445,446,
447,449,452,457,467,470,471,474,478,482,483,484,496,497,498,500,505,506,507,
522,523,525,540,541,551,556,557,561,574,595,609,613,615,627,631,644,650,651,
652,656,658,660,661,663,764,847,848,849,857,860,861,862,863,865,866,869,870,
871,874,903,904,906,914,915,918,924,926,937,938,944,953,960,971,984,989,997,
1007,1011,1017,1021,1022,1033,1036,1038,1040,1041,1044,1046,1048,1060,1062,
1063,1068,1072,1077,1078,1080,1098,1103,1124,1144,1181,1184,1202,1211,1213,
1214,1290,1291,1297,1307,1319,1343,1344,1347,1348,1349,1354,1356,1357,1358,
1360,1362,1366,1370,1371,1373,1374,1376,1378,1379,1381,1384,1511,1512,1515,
1519,1522,1523,1525,1526,1529,1554,1566,1569,1578,1592,1593,1595,1601,1607,
1609,1634,1642,1643,1656,1664,1673,1687,1690,1705,1754,1778,1798,1800,1802,
1810,1811,1812,1876,1884,1890,1946,1954,2080,2082,2083,2084,2099,2105,2109,
2131,2149,2166,2168,2179,2180,2185,2187,2189,2195,2196,2197,2201,2202,2203,
2207,2212,2215,2216,2218,2222,2223,2224,2239,2295,2296,2297,2298,2299,2305,
2308,2309,2345,2347,2349,2351,2401,2403,2407,2414,2454,2547,2568,2569,2570,
2573,2580,2581,2582,2749,2750,2775,2779,2803,2849,2852,2875,2877,2879,2885,
2888,2903,2922,2923,2928,2931,2938,2945,2989,2999,3000,3003,3068,3115,3116,
3186,3193,3205,3210,3211,3212,3215,3220,3226,3231,3232,3236,3304,3309,3319,
3376,3418,3436,3478,3491,3584,3585,3586,3590,3657,3675,3676,3678,3679,3681,
3686,3693,3700,3702,3715,3753,3779,3874,3879,3884,3932,3935,3940,3982,4003,
4011,4012,4016,4024,4049,4079,4122,4131,4133,4136,4168,4251,4252,4253,4280,
4289,4311,4357,4367,4397,4404,4417,4433,4458,4465,4472,4521],[1,2,4,5,6,8,9,10
,11,12,13,19,20,22,23,26,27,28,29,32,35,38,40,41,44,48,50,57,65,71,73,75,76,77
,87,107,108,118,120,121,130,132,134,136,139,140,141,143,144,145,147,148,153,
155,156,157,160,162,168,173,174,179,180,188,189,190,195,199,201,204,206,214,
215,216,218,221,261,262,263,281,331,366,369,378,379,381,383,386,387,405,414,
416,420,423,428,429,433,436,438,439,440,442,445,446,447,449,452,457,464,471,
474,482,483,484,485,494,497,500,505,507,522,524,528,551,556,557,559,560,569,
593,607,613,616,627,629,643,650,651,652,656,658,660,661,663,742,847,848,849,
857,865,866,867,868,873,881,884,906,911,918,919,924,930,942,945,955,958,971,
984,994,997,1007,1011,1017,1021,1022,1033,1037,1038,1039,1040,1041,1045,1058,
1059,1060,1067,1078,1079,1080,1083,1098,1104,1126,1139,1168,1183,1202,1206,
1207,1208,1290,1291,1294,1305,1317,1343,1344,1345,1349,1353,1356,1357,1358,
1360,1361,1366,1370,1371,1373,1374,1376,1378,1379,1381,1383,1511,1512,1515,
1518,1526,1527,1528,1552,1562,1564,1577,1584,1592,1593,1602,1606,1607,1629,
1642,1654,1658,1669,1685,1691,1704,1752,1778,1797,1799,1801,1810,1811,1812,
1873,1874,1891,1944,1948,2080,2082,2083,2084,2097,2103,2128,2147,2166,2168,
2179,2180,2185,2187,2189,2195,2196,2197,2201,2202,2203,2207,2211,2215,2216,
2218,2222,2223,2224,2238,2294,2295,2300,2301,2304,2307,2330,2332,2346,2350,
2400,2407,2408,2418,2446,2547,2567,2568,2569,2573,2580,2581,2582,2749,2750,
2770,2783,2799,2845,2850,2873,2875,2877,2887,2888,2902,2922,2923,2928,2929,
2938,2946,2990,2992,2993,3004,3070,3115,3116,3186,3193,3203,3208,3210,3211,
3214,3221,3226,3231,3232,3236,3303,3308,3317,3371,3417,3434,3479,3490,3584,
3585,3586,3590,3656,3674,3675,3676,3677,3681,3685,3690,3701,3703,3715,3753,
3777,3873,3878,3883,3932,3934,3939,3981,4004,4008,4009,4015,4023,4049,4079,
4120,4130,4132,4135,4168,4250,4252,4253,4278,4288,4311,4356,4366,4396,4405,
4417,4432,4457,4465,4471,4522],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,18,19,20
,21,22,23,24,25,26,28,29,31,32,33,35,40,41,42,44,45,48,49,50,51,52,53,54,55,56
,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,
106,107,108,109,110,111,112,113,114,115,116,117,118,130,132,136,139,140,141,
144,153,155,156,157,159,160,162,163,165,166,168,172,173,174,177,178,179,180,
182,183,184,185,186,187,188,189,190,195,199,200,201,204,206,207,208,209,212,
214,215,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,
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,
349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,369,
380,381,382,383,405,414,415,416,420,423,428,429,433,436,438,439,445,446,447,
448,449,450,451,452,453,457,459,460,474,479,480,481,482,483,484,485,486,487,
488,489,494,497,498,500,501,502,503,504,505,507,509,510,521,522,524,526,527,
528,536,547,548,549,550,551,552,553,554,555,556,557,559,560,561,562,565,569,
574,575,576,577,581,582,586,590,591,592,593,595,597,602,603,604,607,608,609,
613,616,617,618,619,623,643,645,649,650,652,656,660,663,665,666,667,668,669,
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,
841,842,843,844,845,846,848,849,852,857,876,877,878,879,880,881,882,884,894,
895,911,915,918,919,924,929,930,939,942,943,945,954,955,958,961,971,984,986,
987,994,997,1007,1011,1017,1021,1022,1027,1033,1039,1040,1041,1042,1043,1045,
1047,1048,1049,1050,1051,1053,1054,1055,1058,1067,1069,1070,1071,1072,1073,
1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1089,1090,
1091,1092,1093,1094,1098,1099,1100,1101,1102,1104,1115,1116,1117,1118,1125,
1126,1134,1135,1139,1140,1141,1144,1156,1160,1161,1162,1163,1164,1165,1166,
1167,1168,1169,1181,1183,1185,1191,1192,1202,1203,1206,1207,1208,1215,1216,
1217,1225,1227,1231,1232,1243,1245,1246,1254,1256,1263,1264,1275,1282,1335,
1342,1343,1344,1351,1353,1360,1361,1363,1366,1370,1373,1374,1376,1378,1379,
1381,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,
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,
1506,1507,1508,1509,1510,1512,1515,1535,1536,1537,1538,1539,1540,1541,1542,
1552,1554,1562,1584,1606,1607,1608,1609,1613,1614,1617,1618,1626,1627,1628,
1629,1630,1631,1632,1633,1642,1648,1653,1654,1655,1658,1659,1665,1666,1668,
1669,1672,1674,1678,1680,1682,1684,1685,1691,1694,1699,1702,1703,1704,1708,
1709,1721,1726,1752,1753,1778,1781,1782,1797,1804,1807,1817,1818,1819,1824,
1832,1839,1840,1841,1842,1843,1844,1845,1846,1851,1852,1853,1854,1855,1856,
1857,1858,1859,1860,1861,1862,1863,1864,1865,1873,1874,1875,1876,1877,1878,
1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1891,1892,1893,1894,
1895,1897,1899,1902,1908,1910,1911,1912,1913,1914,1915,1916,1917,1925,1934,
1935,1936,1937,1938,1939,1940,1944,1947,1948,1952,1953,1954,1955,1956,1970,
1971,1972,1981,1988,2009,2011,2017,2021,2036,2044,2052,2070,2075,2164,2166,
2167,2168,2169,2179,2180,2195,2208,2211,2215,2216,2218,2219,2220,2222,2223,
2224,2225,2226,2240,2241,2242,2243,2244,2245,2246,2247,2248,2249,2250,2251,
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,
2282,2283,2284,2285,2286,2287,2288,2289,2290,2291,2292,2294,2304,2305,2307,
2311,2330,2352,2353,2354,2355,2358,2360,2361,2362,2363,2364,2365,2369,2370,
2373,2374,2376,2377,2378,2379,2380,2381,2382,2383,2384,2387,2398,2400,2407,
2408,2418,2428,2429,2430,2432,2433,2435,2436,2438,2439,2444,2445,2446,2447,
2452,2453,2462,2465,2527,2547,2548,2549,2564,2567,2591,2592,2594,2595,2596,
2597,2598,2599,2600,2607,2609,2610,2611,2612,2613,2614,2617,2618,2622,2623,
2629,2631,2636,2637,2638,2640,2641,2642,2643,2645,2646,2647,2648,2649,2650,
2651,2652,2653,2654,2655,2656,2657,2658,2659,2660,2661,2670,2671,2677,2678,
2681,2687,2688,2689,2690,2691,2692,2693,2715,2716,2741,2872,2873,2875,2877,
2879,2880,2882,2883,2886,2887,2888,2890,2891,2902,2903,2917,2933,2934,2935,
2937,2938,2939,2949,2950,2951,2952,2953,2954,2955,2956,2957,2958,2959,2960,
2961,2962,2963,2965,2966,2976,2977,2984,2990,2992,3024,3025,3026,3027,3047,
3053,3056,3061,3064,3070,3096,3097,3098,3099,3100,3101,3102,3103,3105,3106,
3108,3185,3186,3187,3191,3193,3199,3203,3208,3214,3221,3244,3245,3248,3250,
3252,3253,3254,3258,3259,3260,3261,3262,3264,3267,3270,3271,3275,3276,3277,
3278,3279,3287,3288,3290,3291,3298,3404,3409,3411,3412,3417,3420,3423,3424,
3434,3436,3439,3442,3447,3449,3472,3489,3493,3494,3495,3496,3497,3502,3505,
3510,3517,3518,3522,3523,3533,3534,3536,3537,3571,3581,3655,3656,3661,3663,
3664,3665,3666,3681,3685,3687,3690,3701,3703,3705,3707,3710,3713,3732,3733,
3737,3739,3740,3742,3743,3744,3746,3850,3851,3891,3894,3899,3900,3901,3902,
3903,3904,3905,3907,3910,3912,3913,3921,3923,3978,3979,3981,3982,3989,3990,
3991,3994,4001,4018,4020,4023,4025,4027,4030,4032,4045,4152,4154,4155,4156,
4158,4159,4162,4168,4195,4198,4199,4200,4201,4224,4226,4229,4231,4308,4309,
4311,4318,4339,4396,4399,4402,4447,4453,4478,4479,4503,4504,4505,4523],[1,2,4,
5,6,8,9,10,11,12,13,22,24,26,28,29,31,32,34,40,42,48,49,50,51,57,73,74,78,82,
96,100,101,102,118,119,120,121,128,130,132,136,139,140,141,143,144,153,155,168
,172,173,174,199,206,212,215,218,236,237,238,257,258,259,316,366,367,371,380,
381,384,385,386,411,414,415,420,428,429,439,445,446,447,448,450,451,454,474,
479,500,501,503,528,536,565,569,586,597,629,634,638,650,671,687,688,716,717,
848,850,857,865,876,877,883,971,986,987,1027,1039,1058,1069,1070,1084,1115,
1156,1294,1295,1310,1325,1335,1343,1344,1351,1356,1388,1512,1513,1535,1556,
1562,1564,1584,1586,1721,1791,1817,1818,1832,1845,1851,2086,2087,2097,2166,
2167,2179,2185,2294,2311,2312,2533,2547,2548,2549,2567,2568,2591,2595,2751,
2758,2873,2880,2883,2895,2965,2976,3152,3193,3199,3200,3404,3477,3493,3605,
3665,3674,3878,3978,3983,4039,4125,4168,4309,4447,4524],[1,2,3,4,5,6,7,8,9,10,
12,13,15,16,17,19,20,21,22,23,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,
42,43,44,45,46,47,48,50,51,52,55,56,62,65,68,70,71,73,74,75,76,77,79,80,81,87,
91,92,93,101,103,106,107,108,109,110,118,120,121,122,123,124,125,126,130,131,
132,135,136,139,140,141,142,143,145,146,153,154,155,156,158,159,160,161,162,
163,164,165,166,168,169,170,172,173,174,175,176,177,178,179,180,181,182,183,
184,185,186,187,188,189,190,191,192,193,194,195,197,198,199,200,201,202,203,
204,205,206,208,209,210,212,213,214,215,216,219,221,231,232,239,241,244,245,
247,248,249,258,262,264,267,268,270,272,275,278,279,280,281,282,283,284,287,
288,331,332,338,339,347,350,351,366,367,369,370,372,373,374,375,376,377,378,
379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,
398,399,400,401,402,405,407,408,409,410,414,416,417,423,424,425,429,430,431,
433,436,438,439,440,441,442,443,445,446,447,448,449,452,453,454,455,457,461,
464,467,470,471,474,475,476,478,479,480,481,482,483,484,485,486,487,488,489,
490,491,493,496,497,498,499,500,501,502,504,505,507,508,511,514,521,522,525,
526,527,528,529,532,533,534,535,536,537,544,546,547,548,549,550,551,552,553,
554,555,556,557,558,559,560,561,562,564,569,570,571,574,575,576,578,580,581,
582,583,585,586,589,590,591,592,593,595,596,597,598,599,600,602,603,604,605,
607,609,610,612,613,615,617,619,620,621,623,629,630,631,632,645,647,648,650,
651,652,653,655,656,658,659,660,661,663,664,697,701,702,703,743,757,761,765,
774,799,803,804,806,810,812,848,849,852,853,854,855,856,857,858,859,860,861,
862,863,864,865,866,867,868,869,870,871,876,877,878,879,880,881,882,883,884,
885,886,887,888,889,890,891,892,893,894,895,897,898,899,900,901,903,904,905,
906,908,909,910,911,913,914,915,916,918,919,921,922,923,924,925,926,927,928,
929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,
949,951,952,953,954,955,958,959,960,961,962,978,984,987,988,990,993,994,997,
1006,1011,1016,1019,1020,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,
1037,1038,1041,1050,1051,1053,1069,1070,1071,1073,1078,1080,1081,1082,1083,
1085,1086,1087,1089,1098,1111,1113,1117,1118,1119,1125,1126,1127,1133,1134,
1135,1137,1139,1142,1144,1145,1148,1152,1153,1156,1160,1161,1162,1163,1164,
1165,1166,1167,1168,1169,1170,1172,1175,1181,1182,1188,1194,1195,1196,1198,
1200,1202,1203,1209,1211,1215,1216,1221,1224,1225,1227,1228,1230,1235,1238,
1241,1243,1245,1248,1249,1250,1253,1254,1256,1257,1259,1260,1261,1293,1294,
1295,1296,1297,1300,1301,1302,1303,1304,1305,1306,1307,1308,1317,1318,1319,
1320,1321,1322,1323,1338,1343,1344,1351,1352,1353,1354,1361,1362,1364,1366,
1367,1368,1369,1370,1371,1374,1375,1376,1377,1378,1380,1382,1383,1384,1385,
1386,1460,1512,1513,1514,1515,1517,1518,1519,1520,1521,1522,1523,1524,1525,
1526,1527,1528,1529,1530,1531,1535,1536,1537,1538,1539,1540,1541,1542,1547,
1548,1549,1550,1552,1553,1554,1555,1562,1563,1564,1566,1567,1568,1569,1570,
1571,1572,1573,1574,1575,1577,1578,1581,1582,1584,1585,1586,1588,1589,1590,
1591,1592,1593,1594,1595,1596,1597,1598,1599,1601,1602,1606,1607,1608,1609,
1613,1614,1615,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,
1629,1630,1631,1632,1633,1634,1636,1637,1638,1639,1640,1642,1644,1645,1646,
1648,1649,1650,1651,1652,1653,1654,1655,1656,1658,1659,1660,1661,1662,1663,
1664,1665,1666,1668,1669,1670,1671,1672,1673,1674,1675,1676,1678,1679,1680,
1681,1682,1683,1684,1685,1686,1687,1688,1690,1691,1692,1693,1694,1699,1700,
1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1723,1725,1753,1761,
1777,1781,1783,1790,1803,1804,1805,1808,1809,1810,1811,1812,1813,1814,1815,
1816,1857,1858,1861,1862,1875,1881,1882,1889,1914,1915,1918,1930,1934,1937,
1952,1955,1974,1977,1984,1985,1999,2002,2009,2011,2016,2022,2025,2028,2034,
2035,2047,2085,2086,2087,2088,2090,2091,2092,2093,2094,2095,2097,2098,2099,
2101,2103,2104,2105,2106,2107,2108,2109,2110,2116,2117,2118,2119,2120,2121,
2122,2123,2127,2128,2129,2130,2131,2132,2133,2134,2135,2136,2137,2138,2139,
2140,2141,2142,2143,2144,2145,2147,2148,2149,2166,2167,2168,2169,2178,2179,
2180,2208,2209,2210,2211,2212,2213,2216,2217,2220,2221,2226,2227,2229,2230,
2231,2232,2233,2234,2235,2236,2237,2238,2239,2304,2305,2311,2312,2313,2322,
2323,2324,2325,2326,2327,2328,2329,2330,2331,2332,2333,2334,2338,2339,2340,
2341,2345,2346,2347,2348,2349,2352,2353,2354,2355,2356,2357,2358,2360,2361,
2362,2363,2364,2365,2369,2370,2371,2372,2373,2374,2376,2377,2378,2379,2380,
2381,2382,2383,2384,2387,2389,2394,2395,2396,2407,2409,2410,2412,2417,2418,
2420,2421,2422,2425,2427,2428,2429,2430,2431,2432,2433,2434,2435,2436,2437,
2438,2439,2442,2443,2444,2445,2446,2447,2448,2449,2450,2451,2452,2453,2454,
2462,2463,2464,2465,2525,2532,2535,2536,2537,2547,2566,2567,2568,2569,2570,
2574,2575,2576,2577,2578,2579,2580,2581,2582,2583,2584,2585,2586,2587,2588,
2589,2590,2654,2659,2722,2758,2759,2760,2761,2762,2763,2765,2766,2767,2768,
2769,2770,2772,2773,2774,2775,2776,2777,2778,2779,2780,2781,2782,2783,2784,
2785,2787,2788,2789,2790,2791,2793,2794,2795,2796,2797,2798,2799,2800,2801,
2802,2803,2804,2805,2806,2807,2808,2809,2810,2811,2812,2813,2814,2815,2816,
2817,2818,2819,2820,2821,2822,2823,2824,2825,2826,2832,2833,2834,2835,2836,
2837,2838,2839,2840,2841,2842,2843,2844,2845,2846,2847,2848,2849,2850,2851,
2852,2853,2854,2855,2856,2877,2878,2881,2883,2884,2886,2887,2888,2889,2891,
2902,2903,2935,2936,2942,2943,2944,2947,2948,3024,3025,3026,3027,3032,3047,
3048,3049,3050,3073,3074,3089,3090,3095,3096,3097,3098,3099,3100,3101,3102,
3103,3104,3105,3106,3108,3157,3158,3159,3160,3161,3162,3163,3165,3166,3167,
3170,3171,3186,3193,3199,3200,3201,3203,3204,3205,3208,3209,3210,3211,3212,
3214,3215,3216,3217,3218,3221,3222,3223,3224,3225,3227,3228,3229,3230,3233,
3234,3235,3236,3237,3238,3239,3240,3241,3242,3243,3306,3307,3310,3311,3312,
3313,3314,3315,3317,3318,3319,3321,3322,3323,3324,3325,3326,3327,3328,3329,
3330,3331,3332,3333,3334,3335,3336,3337,3338,3339,3340,3341,3342,3343,3344,
3345,3346,3347,3348,3349,3350,3351,3352,3353,3354,3355,3356,3357,3358,3359,
3360,3361,3362,3363,3364,3365,3366,3367,3368,3369,3371,3372,3373,3374,3375,
3376,3377,3378,3379,3380,3381,3382,3383,3384,3385,3386,3387,3388,3406,3408,
3420,3422,3433,3439,3442,3448,3478,3479,3481,3490,3491,3556,3581,3607,3610,
3612,3613,3615,3617,3618,3619,3620,3623,3624,3625,3626,3634,3638,3639,3646,
3647,3662,3665,3666,3681,3687,3688,3689,3690,3692,3693,3694,3696,3703,3704,
3707,3711,3713,3714,3718,3719,3720,3721,3722,3723,3724,3728,3729,3730,3763,
3764,3765,3771,3772,3781,3782,3783,3784,3785,3786,3787,3788,3789,3790,3791,
3792,3793,3794,3795,3796,3797,3798,3799,3800,3801,3802,3803,3805,3806,3807,
3847,3873,3874,3878,3879,3881,3882,3883,3884,3885,3886,3887,3888,3889,3890,
3942,3943,3946,3947,3948,3949,3952,3953,3957,3958,3959,3960,3969,3970,3989,
3990,4018,4020,4022,4038,4042,4044,4072,4073,4074,4125,4127,4130,4131,4132,
4133,4134,4137,4138,4139,4140,4141,4142,4143,4144,4145,4146,4147,4148,4149,
4168,4172,4173,4176,4177,4180,4183,4185,4186,4224,4234,4236,4290,4293,4295,
4296,4297,4300,4301,4302,4303,4304,4309,4310,4311,4315,4344,4345,4346,4347,
4366,4367,4395,4398,4399,4401,4419,4420,4421,4430,4431,4432,4433,4434,4435,
4452,4462,4469,4473,4474,4489,4490,4491,4509,4510,4511,4525],[1,2,3,4,5,6,9,10
,11,12,13,14,15,16,17,19,21,22,23,24,25,26,27,28,29,31,32,33,35,40,41,42,44,45
,48,49,50,51,52,54,55,57,62,63,64,65,66,67,68,69,70,73,74,75,76,77,78,79,80,81
,82,85,86,89,90,91,96,99,100,101,102,103,104,105,108,109,110,113,114,118,130,
131,132,134,135,136,139,140,141,144,153,160,162,165,168,172,173,179,180,184,
185,186,187,189,199,201,214,215,216,217,218,220,228,229,232,233,234,236,237,
238,242,243,244,245,247,254,255,257,258,259,264,265,266,273,274,281,283,284,
285,286,287,290,300,301,302,303,304,305,316,326,327,328,329,330,336,340,343,
344,366,369,380,381,382,383,405,414,416,420,421,422,423,424,425,426,427,428,
429,430,431,432,433,435,436,437,438,439,445,446,447,448,449,450,451,452,453,
457,459,460,474,482,483,484,500,501,502,503,504,505,507,509,510,522,549,557,
565,613,627,650,651,652,653,654,655,656,658,659,660,661,663,664,667,671,684,
685,686,687,688,691,692,693,694,695,696,700,701,716,717,719,720,721,723,724,
756,767,768,784,788,796,829,847,848,849,857,876,877,878,879,880,881,918,939,
945,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,
985,997,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,
1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1033,1038,
1039,1047,1049,1051,1055,1058,1069,1070,1071,1072,1073,1074,1075,1076,1078,
1080,1084,1090,1091,1092,1093,1094,1098,1115,1117,1202,1282,1290,1291,1335,
1343,1344,1351,1353,1356,1357,1358,1359,1360,1366,1367,1368,1369,1370,1371,
1373,1374,1375,1376,1377,1378,1379,1380,1381,1388,1390,1391,1392,1393,1395,
1408,1427,1432,1487,1489,1511,1512,1515,1535,1536,1537,1538,1607,1628,1630,
1642,1712,1714,1715,1716,1717,1718,1719,1720,1729,1731,1732,1733,1734,1735,
1736,1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,
1751,1762,1763,1764,1765,1766,1767,1768,1769,1770,1771,1772,1773,1774,1775,
1776,1777,1778,1779,1780,1810,1811,1812,1813,1814,1815,1816,1817,1818,1819,
1824,1832,1841,1845,1846,1851,1855,1856,1857,1877,1887,1899,1902,1970,2080,
2082,2083,2084,2164,2166,2167,2168,2169,2179,2180,2185,2186,2187,2188,2189,
2190,2191,2192,2193,2194,2195,2196,2197,2198,2199,2200,2201,2202,2203,2204,
2205,2206,2207,2215,2216,2217,2218,2220,2222,2223,2224,2228,2246,2294,2384,
2407,2468,2469,2471,2472,2476,2477,2478,2479,2482,2483,2490,2491,2492,2493,
2494,2495,2496,2497,2498,2499,2500,2501,2502,2503,2508,2509,2513,2514,2515,
2517,2518,2547,2548,2549,2567,2573,2576,2577,2578,2579,2580,2581,2582,2583,
2584,2586,2587,2591,2592,2595,2596,2597,2598,2617,2623,2645,2688,2715,2749,
2750,2888,2890,2899,2900,2904,2905,2906,2907,2908,2909,2910,2911,2912,2913,
2914,2915,2918,2919,2920,2921,2922,2923,2924,2925,2926,2927,2928,2938,2940,
2964,2965,2966,2976,2977,2984,3115,3116,3118,3120,3121,3124,3128,3129,3132,
3133,3137,3138,3139,3140,3141,3142,3186,3187,3191,3193,3199,3203,3221,3224,
3225,3226,3227,3228,3231,3232,3234,3235,3236,3260,3279,3425,3426,3427,3428,
3429,3430,3431,3443,3450,3451,3452,3453,3457,3458,3459,3460,3461,3492,3493,
3496,3497,3522,3533,3584,3585,3586,3587,3589,3590,3595,3602,3665,3666,3681,
3684,3707,3715,3721,3752,3753,3756,3810,3827,3828,3832,3839,3842,3845,3846,
3856,3858,3860,3862,3903,3932,3933,3978,3991,3995,3996,4000,4017,4019,4048,
4049,4050,4079,4080,4081,4082,4104,4107,4168,4195,4210,4214,4215,4227,4228,
4253,4254,4255,4257,4311,4330,4348,4364,4417,4422,4447,4465,4479,4514,4526],[1
,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,31,32,
33,35,40,41,42,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,
66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,
94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,
115,118,120,121,130,132,136,139,140,141,143,144,145,147,148,152,153,155,156,
157,160,162,165,166,168,172,173,174,179,180,182,183,184,185,186,187,188,189,
190,199,201,206,207,214,215,216,218,220,221,222,223,224,225,226,228,229,230,
231,232,233,234,235,236,237,238,242,243,244,245,247,250,251,254,255,256,257,
258,259,261,262,263,264,265,266,268,269,270,271,272,273,274,275,278,279,281,
283,284,285,286,287,290,291,292,293,294,295,296,297,298,299,300,301,302,303,
304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,
323,324,325,326,327,328,329,330,331,333,334,335,336,337,338,340,341,342,343,
344,345,366,369,380,381,382,383,386,387,388,389,405,409,414,416,420,428,429,
439,440,442,445,446,447,448,449,450,451,452,453,457,459,460,474,482,483,484,
494,500,501,502,503,504,505,507,508,509,510,511,512,513,519,520,521,522,524,
526,528,549,551,552,553,554,555,557,559,560,565,566,567,568,569,573,576,577,
611,613,616,618,619,622,629,643,650,651,652,663,666,667,668,669,670,671,672,
673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,691,692,693,
694,695,696,700,701,707,708,709,710,711,712,713,714,715,716,717,719,720,721,
723,724,725,726,728,729,733,735,736,737,742,744,745,746,747,748,749,750,751,
752,753,754,756,757,758,759,760,761,762,767,768,784,788,789,791,792,793,794,
796,797,798,829,830,831,832,833,834,848,849,857,865,866,867,868,873,876,877,
878,879,880,881,894,895,911,918,919,930,939,942,943,945,946,955,971,994,997,
1033,1038,1039,1040,1041,1042,1043,1045,1047,1049,1051,1053,1054,1055,1058,
1059,1060,1064,1065,1067,1069,1070,1071,1072,1073,1074,1075,1076,1078,1079,
1080,1083,1084,1085,1086,1089,1090,1091,1092,1093,1094,1098,1099,1100,1101,
1102,1104,1115,1117,1126,1134,1139,1141,1183,1202,1206,1207,1208,1217,1225,
1226,1231,1232,1233,1271,1282,1294,1317,1318,1335,1343,1344,1351,1353,1356,
1358,1360,1361,1378,1379,1383,1387,1388,1390,1391,1392,1393,1395,1396,1397,
1398,1399,1400,1401,1402,1403,1406,1408,1409,1410,1411,1415,1416,1417,1418,
1419,1420,1422,1423,1424,1425,1426,1427,1428,1429,1430,1432,1434,1480,1482,
1483,1484,1485,1487,1489,1512,1515,1535,1536,1537,1538,1540,1552,1562,1564,
1571,1577,1579,1580,1584,1588,1589,1592,1602,1606,1607,1626,1627,1628,1630,
1632,1633,1642,1644,1646,1647,1658,1668,1669,1689,1752,1797,1799,1801,1810,
1817,1818,1819,1824,1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,
1844,1845,1846,1847,1850,1851,1855,1856,1857,1865,1873,1874,1877,1878,1879,
1880,1881,1887,1888,1889,1891,1892,1893,1894,1895,1897,1899,1901,1902,1904,
1906,1907,1908,1909,1910,1922,1925,1944,1948,1949,1955,1956,1957,1958,1970,
1971,2019,2020,2021,2097,2103,2136,2139,2164,2166,2167,2168,2169,2179,2180,
2185,2189,2195,2219,2220,2240,2241,2242,2246,2248,2249,2250,2251,2252,2253,
2254,2294,2295,2300,2301,2302,2304,2307,2350,2354,2355,2377,2380,2381,2384,
2387,2394,2397,2398,2400,2407,2408,2418,2421,2547,2548,2549,2550,2553,2567,
2568,2569,2573,2588,2591,2592,2594,2595,2596,2597,2598,2599,2600,2606,2607,
2610,2612,2613,2614,2616,2617,2618,2622,2623,2638,2639,2640,2642,2643,2644,
2645,2688,2689,2690,2691,2709,2715,2716,2770,2783,2841,2843,2845,2872,2873,
2875,2887,2888,2890,2891,2917,2929,2946,2951,2965,2966,2976,2977,2978,2984,
2986,2987,2990,2992,2993,3001,3004,3005,3006,3011,3012,3023,3024,3053,3070,
3082,3107,3186,3187,3191,3193,3199,3203,3214,3216,3221,3231,3244,3245,3247,
3248,3249,3250,3251,3252,3258,3260,3261,3268,3269,3272,3276,3277,3278,3279,
3308,3317,3347,3348,3417,3424,3479,3480,3486,3490,3493,3494,3495,3496,3497,
3502,3503,3521,3522,3523,3533,3534,3536,3537,3538,3541,3546,3580,3655,3656,
3658,3659,3660,3661,3665,3666,3674,3675,3677,3681,3685,3707,3710,3717,3732,
3733,3747,3757,3776,3777,3793,3878,3886,3891,3892,3893,3902,3903,3904,3905,
3911,3915,3923,3924,3978,3981,3990,3991,4001,4004,4007,4051,4062,4120,4121,
4123,4135,4141,4152,4153,4163,4168,4195,4198,4239,4245,4274,4278,4292,4311,
4318,4350,4366,4385,4396,4439,4447,4471,4479,4494,4503,4527],[1,2,3,4,5,6,8,9,
10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,37,38,
40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,62,63,64,65,66,67,68,69,70,
71,73,74,75,76,77,78,79,80,81,82,85,86,87,88,89,90,91,92,93,96,99,100,101,102,
103,104,105,106,107,108,109,110,113,114,116,118,120,121,130,132,136,139,140,
141,143,144,145,148,153,155,156,157,158,159,160,161,162,163,164,165,168,169,
170,171,172,173,174,175,176,177,178,179,180,181,184,185,186,187,188,189,190,
191,192,194,195,197,199,201,202,204,205,206,207,208,212,214,215,216,218,219,
220,221,227,228,229,230,231,232,233,234,236,237,238,239,240,241,242,243,244,
245,246,247,248,249,254,255,257,258,259,260,261,262,263,264,265,266,267,268,
269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,
288,289,290,300,301,302,303,304,305,316,326,327,328,329,330,331,332,336,337,
338,339,340,343,344,346,347,350,351,352,356,357,358,361,362,363,366,367,369,
372,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,405,407,408,
409,414,416,423,429,433,439,440,442,445,446,447,448,449,450,451,452,453,454,
457,458,459,460,464,469,471,472,474,475,476,477,478,479,482,483,484,485,490,
491,492,493,494,495,497,498,500,501,502,503,504,505,506,507,508,509,510,513,
520,521,522,523,524,525,527,528,529,530,531,532,533,534,535,536,537,538,539,
540,541,542,543,544,545,546,547,548,549,550,551,556,557,559,560,561,562,564,
565,566,569,570,571,572,573,574,576,577,578,579,583,584,585,586,587,588,589,
593,594,595,597,598,599,600,601,605,606,607,608,609,611,612,613,614,615,616,
618,619,620,621,622,624,625,626,629,645,650,651,652,656,658,660,661,663,665,
667,668,671,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,
700,701,702,703,704,716,717,718,719,720,721,722,723,724,734,737,740,741,742,
743,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,772,773,774,
778,783,784,785,786,787,788,796,799,800,801,802,803,804,805,806,809,810,811,
812,813,814,815,816,821,828,829,835,837,844,848,849,857,865,866,867,868,873,
876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,895,
903,906,911,915,916,918,919,922,923,924,925,926,927,929,930,931,932,933,934,
935,936,937,938,939,942,945,946,947,955,958,961,984,987,997,1027,1029,1031,
1033,1034,1037,1038,1039,1041,1045,1046,1047,1048,1049,1050,1051,1052,1055,
1058,1059,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,
1080,1081,1082,1083,1084,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,
1103,1104,1111,1114,1115,1117,1119,1121,1122,1123,1124,1125,1126,1127,1128,
1129,1130,1131,1132,1133,1135,1136,1137,1138,1139,1142,1145,1146,1147,1148,
1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1167,1168,1169,1170,
1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1183,1184,1185,1186,
1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,
1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1217,1218,
1219,1220,1221,1222,1223,1224,1225,1226,1228,1229,1230,1231,1232,1233,1234,
1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,1246,1247,1248,1249,1250,
1251,1252,1253,1254,1255,1257,1258,1259,1260,1261,1262,1263,1264,1265,1267,
1268,1269,1270,1271,1272,1273,1274,1275,1276,1279,1280,1281,1282,1283,1284,
1285,1286,1287,1288,1289,1293,1294,1295,1296,1300,1305,1317,1318,1335,1343,
1344,1351,1353,1354,1361,1362,1366,1370,1371,1374,1376,1378,1383,1388,1389,
1390,1391,1392,1393,1394,1395,1408,1413,1414,1417,1427,1431,1432,1433,1435,
1436,1437,1446,1447,1448,1449,1456,1457,1458,1459,1460,1461,1462,1463,1467,
1468,1471,1487,1488,1489,1492,1493,1503,1512,1513,1515,1516,1518,1526,1527,
1528,1532,1533,1535,1536,1537,1538,1539,1552,1554,1555,1562,1563,1564,1565,
1566,1571,1577,1579,1580,1584,1585,1586,1587,1592,1593,1602,1603,1604,1607,
1609,1613,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,
1630,1631,1634,1639,1642,1643,1644,1647,1648,1654,1658,1665,1669,1672,1674,
1675,1676,1678,1680,1682,1684,1685,1689,1691,1699,1704,1708,1753,1804,1808,
1810,1811,1812,1814,1816,1817,1818,1819,1824,1825,1829,1832,1833,1840,1841,
1843,1845,1846,1847,1851,1852,1855,1856,1857,1858,1866,1867,1870,1871,1872,
1874,1875,1876,1877,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,1898,
1899,1902,1907,1910,1913,1914,1918,1920,1921,1922,1923,1924,1925,1926,1927,
1928,1929,1930,1931,1932,1933,1934,1939,1942,1943,1944,1945,1946,1948,1950,
1955,1957,1958,1959,1960,1961,1962,1963,1964,1965,1966,1967,1968,1969,1970,
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,
2003,2004,2005,2006,2007,2008,2009,2010,2012,2013,2014,2015,2016,2017,2018,
2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2032,2033,2034,2035,2036,
2037,2038,2039,2040,2041,2042,2043,2044,2046,2047,2048,2049,2050,2051,2052,
2053,2054,2055,2056,2057,2058,2059,2060,2061,2066,2070,2071,2072,2073,2074,
2086,2087,2090,2091,2092,2097,2098,2103,2110,2116,2117,2120,2123,2127,2128,
2129,2130,2136,2137,2138,2139,2140,2141,2147,2164,2166,2167,2168,2169,2179,
2180,2208,2211,2212,2216,2220,2226,2230,2236,2238,2245,2246,2256,2257,2258,
2259,2267,2268,2274,2282,2285,2294,2300,2301,2305,2307,2309,2310,2311,2312,
2313,2314,2315,2316,2317,2318,2319,2320,2321,2330,2331,2332,2333,2334,2335,
2342,2343,2344,2345,2346,2350,2352,2353,2354,2357,2370,2373,2376,2382,2383,
2384,2387,2389,2390,2391,2392,2393,2394,2397,2398,2400,2403,2404,2405,2406,
2407,2408,2409,2411,2413,2414,2415,2416,2417,2418,2420,2423,2425,2427,2430,
2433,2436,2444,2446,2447,2455,2465,2466,2467,2547,2548,2549,2550,2553,2567,
2568,2569,2574,2575,2577,2579,2580,2583,2587,2588,2591,2592,2593,2595,2596,
2597,2598,2605,2609,2610,2611,2615,2616,2617,2623,2626,2627,2628,2629,2630,
2631,2632,2640,2645,2647,2650,2659,2660,2661,2662,2664,2665,2666,2667,2668,
2669,2670,2672,2673,2674,2675,2676,2679,2680,2681,2682,2683,2684,2685,2686,
2687,2688,2694,2695,2696,2697,2698,2699,2700,2701,2702,2703,2704,2705,2706,
2707,2710,2711,2712,2713,2714,2715,2718,2719,2720,2721,2722,2723,2724,2725,
2727,2728,2729,2730,2758,2759,2760,2761,2765,2767,2770,2783,2787,2788,2789,
2790,2791,2799,2809,2811,2816,2817,2820,2822,2823,2824,2832,2833,2834,2835,
2840,2841,2845,2850,2851,2877,2879,2883,2886,2888,2890,2935,2947,2963,2965,
2966,2971,2972,2976,2977,2978,2982,2984,2989,2990,2991,2992,2995,3004,3007,
3008,3010,3011,3012,3014,3015,3017,3018,3019,3021,3023,3025,3030,3031,3032,
3033,3034,3035,3036,3037,3038,3039,3040,3044,3045,3046,3047,3048,3051,3052,
3053,3056,3058,3061,3064,3065,3066,3070,3071,3073,3074,3076,3078,3079,3082,
3083,3085,3089,3090,3092,3093,3095,3103,3114,3185,3186,3187,3190,3191,3193,
3199,3200,3202,3203,3205,3208,3210,3211,3214,3215,3216,3220,3221,3229,3233,
3235,3237,3239,3253,3254,3255,3256,3257,3259,3260,3271,3279,3281,3282,3283,
3284,3285,3286,3289,3290,3292,3293,3294,3295,3296,3297,3308,3311,3321,3322,
3336,3344,3345,3347,3361,3362,3363,3371,3378,3384,3385,3386,3387,3420,3423,
3479,3480,3486,3490,3493,3496,3497,3501,3505,3510,3516,3517,3522,3527,3528,
3529,3530,3531,3533,3537,3542,3543,3544,3545,3546,3547,3548,3550,3554,3555,
3556,3558,3560,3562,3563,3564,3565,3568,3570,3571,3572,3575,3576,3579,3580,
3664,3665,3666,3681,3687,3690,3691,3692,3693,3702,3703,3707,3709,3712,3713,
3724,3739,3750,3757,3759,3761,3773,3776,3777,3780,3782,3807,3870,3871,3872,
3873,3877,3878,3881,3882,3883,3886,3889,3894,3899,3903,3907,3913,3917,3918,
3919,3920,3922,3925,3926,3927,3929,3978,3982,3989,3991,4020,4021,4053,4055,
4057,4058,4059,4060,4062,4064,4067,4068,4071,4124,4125,4126,4129,4132,4138,
4141,4143,4144,4147,4149,4158,4164,4168,4195,4199,4241,4242,4243,4244,4246,
4247,4248,4274,4283,4285,4287,4293,4294,4301,4309,4311,4352,4366,4377,4392,
4399,4430,4432,4434,4447,4474,4478,4479,4494,4504,4515,4516,4517,4528],[1,2,3,
4,5,6,7,8,9,10,11,12,13,14,19,20,21,22,23,25,26,27,28,29,32,33,35,36,38,39,40,
44,45,47,50,57,59,63,65,66,71,73,75,76,77,81,84,86,87,89,91,93,94,98,103,107,
108,110,112,113,115,117,118,120,121,122,123,124,125,126,130,132,133,134,136,
137,139,140,141,143,144,145,146,147,150,153,155,156,159,173,174,180,183,188,
189,195,198,201,204,206,208,215,216,218,221,227,242,246,247,248,249,252,254,
261,262,263,265,267,281,286,288,289,294,300,312,317,324,331,339,350,351,355,
360,365,366,369,370,373,374,375,376,377,378,379,381,382,386,387,393,394,395,
396,397,398,405,410,419,420,423,428,429,433,434,436,438,445,446,449,452,457,
459,460,462,464,465,468,470,471,484,485,497,498,500,505,509,517,528,551,556,
561,569,574,593,595,607,609,627,629,630,631,632,650,651,656,658,660,661,675,
691,695,698,703,706,726,727,729,732,742,764,773,779,801,802,810,818,827,848,
849,852,853,854,855,856,857,865,866,867,868,869,870,871,884,894,898,899,900,
901,904,906,911,915,918,919,924,928,958,961,971,984,1007,1011,1017,1021,1022,
1038,1039,1040,1041,1048,1058,1060,1062,1072,1077,1078,1079,1080,1083,1101,
1107,1117,1118,1139,1144,1168,1181,1290,1291,1292,1294,1297,1301,1302,1305,
1306,1307,1308,1317,1319,1322,1323,1343,1344,1345,1347,1348,1349,1356,1357,
1366,1371,1396,1405,1438,1451,1453,1457,1464,1515,1518,1526,1527,1528,1529,
1530,1531,1541,1546,1549,1552,1554,1561,1562,1564,1566,1569,1584,1592,1593,
1595,1606,1607,1608,1609,1612,1678,1680,1682,1684,1685,1698,1778,1790,1810,
1811,1812,1819,1821,1824,1827,1830,1846,1849,1855,1858,1860,1863,1873,1874,
1876,1884,1914,1915,1938,1939,1948,1954,2078,2080,2081,2097,2099,2103,2109,
2128,2131,2132,2133,2147,2149,2172,2175,2179,2180,2181,2182,2185,2187,2196,
2197,2202,2203,2263,2294,2295,2296,2304,2305,2330,2332,2345,2347,2428,2429,
2430,2438,2439,2532,2535,2536,2567,2568,2569,2570,2580,2581,2582,2599,2602,
2656,2660,2747,2770,2775,2799,2800,2811,2812,2850,2852,2873,2875,2877,2879,
2902,2903,2922,2923,2966,2968,2970,2977,2980,2992,2993,3000,3003,3106,3115,
3116,3158,3159,3161,3162,3170,3171,3193,3195,3196,3197,3198,3208,3210,3211,
3212,3236,3317,3319,3328,3329,3336,3337,3434,3436,3490,3491,3494,3498,3508,
3510,3512,3518,3519,3584,3585,3608,3615,3616,3621,3624,3634,3636,3672,3674,
3675,3676,3679,3681,3683,3698,3726,3798,3799,3878,3879,3883,3884,3896,3900,
3953,3955,3962,3981,3982,4008,4009,4011,4012,4018,4079,4130,4131,4132,4133,
4181,4226,4236,4250,4251,4252,4253,4278,4280,4345,4359,4361,4382,4383,4421,
4457,4458,4520,4529],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,19,20,21,22,23,25,26,27
,28,29,32,33,35,36,38,39,40,44,45,47,50,57,58,63,65,66,71,73,75,76,77,81,83,86
,87,89,91,93,95,97,103,107,108,110,112,113,115,117,118,120,121,122,123,124,125
,126,130,132,133,134,136,137,139,140,141,143,144,145,146,147,150,153,155,156,
159,173,174,180,183,188,189,195,198,201,204,206,208,215,216,218,221,227,242,
246,247,248,249,252,254,261,262,263,265,267,281,286,288,289,293,300,313,318,
323,331,339,350,351,355,359,364,366,369,370,373,374,375,376,377,378,379,381,
382,386,387,393,394,395,396,397,398,405,410,419,420,423,428,429,433,434,436,
438,445,446,449,452,457,459,460,462,464,466,468,470,471,484,485,497,498,500,
505,509,516,528,551,556,561,569,574,593,595,607,609,627,629,630,631,632,650,
651,656,658,660,661,676,691,695,698,703,705,725,727,728,731,742,764,773,779,
801,802,810,817,826,848,849,852,853,854,855,856,857,865,866,867,868,869,870,
871,884,894,898,899,900,901,904,906,911,915,918,919,924,928,958,961,971,984,
1007,1011,1017,1021,1022,1038,1039,1040,1041,1048,1058,1060,1062,1072,1077,
1078,1079,1080,1083,1100,1106,1117,1118,1139,1144,1168,1181,1290,1291,1292,
1294,1297,1301,1302,1305,1306,1307,1308,1317,1319,1322,1323,1343,1344,1345,
1347,1348,1349,1356,1357,1366,1371,1397,1404,1439,1452,1453,1457,1465,1515,
1518,1526,1527,1528,1529,1530,1531,1541,1545,1550,1552,1554,1560,1562,1564,
1566,1569,1584,1592,1593,1595,1606,1607,1608,1609,1612,1678,1680,1682,1684,
1685,1697,1778,1790,1810,1811,1812,1819,1820,1824,1827,1830,1846,1848,1855,
1858,1860,1863,1873,1874,1876,1884,1914,1915,1938,1939,1948,1954,2078,2080,
2081,2097,2099,2103,2109,2128,2131,2132,2133,2147,2149,2171,2175,2179,2180,
2181,2183,2185,2187,2196,2197,2202,2203,2262,2294,2295,2296,2304,2305,2330,
2332,2345,2347,2428,2429,2430,2438,2439,2532,2535,2536,2567,2568,2569,2570,
2580,2581,2582,2600,2601,2656,2660,2747,2770,2775,2799,2800,2811,2812,2850,
2852,2873,2875,2877,2879,2902,2903,2922,2923,2966,2968,2970,2977,2979,2992,
2993,3000,3003,3106,3115,3116,3158,3159,3161,3162,3170,3171,3193,3195,3196,
3197,3198,3208,3210,3211,3212,3236,3317,3319,3328,3329,3336,3337,3434,3436,
3490,3491,3495,3499,3508,3510,3512,3518,3520,3584,3585,3609,3615,3616,3622,
3623,3634,3635,3673,3674,3675,3676,3679,3681,3682,3699,3725,3798,3799,3878,
3879,3883,3884,3895,3901,3953,3956,3963,3981,3982,4008,4009,4011,4012,4018,
4079,4130,4131,4132,4133,4182,4226,4236,4250,4251,4252,4253,4278,4280,4345,
4359,4360,4382,4383,4421,4457,4458,4520,4530],[1,2,3,4,5,6,7,8,9,10,11,12,13,
14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,38,39,40,41,42,
44,45,46,47,50,51,52,53,54,55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,76,77,
79,80,81,82,87,88,89,90,91,92,93,100,101,103,104,105,106,107,108,109,110,118,
120,121,122,123,124,125,126,130,132,134,136,139,140,141,143,144,145,146,147,
150,153,155,156,159,160,162,163,165,166,168,172,173,174,177,178,179,180,182,
183,184,185,186,187,188,189,190,195,197,198,199,200,201,204,206,208,209,215,
216,218,219,221,227,228,229,230,231,232,233,234,236,237,239,240,241,242,243,
244,245,246,247,248,249,257,258,260,261,262,263,264,265,266,267,268,269,270,
271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,
290,331,332,336,337,338,339,340,346,347,350,351,366,367,369,370,373,374,375,
376,377,378,379,380,381,382,383,384,385,386,387,388,389,393,394,395,396,397,
398,399,400,401,402,405,409,410,414,415,416,418,420,423,428,429,433,436,438,
445,446,447,448,449,450,452,453,454,455,456,457,460,461,462,463,464,468,470,
471,474,479,480,481,482,483,484,485,486,487,488,489,497,498,500,501,502,504,
505,507,508,510,511,512,514,515,521,522,526,527,528,536,547,548,549,550,551,
552,553,554,555,556,557,559,560,561,562,569,574,575,576,581,582,586,590,591,
592,593,595,597,602,603,604,607,609,613,617,619,623,627,629,630,631,632,650,
651,656,658,660,661,665,667,668,688,689,690,694,695,696,697,698,699,700,701,
702,703,704,734,737,740,741,742,743,755,756,757,758,759,760,761,762,763,764,
765,766,767,769,772,773,774,784,785,786,787,788,799,800,801,802,803,804,805,
806,809,810,811,812,848,849,852,853,854,855,856,857,865,866,867,868,869,870,
871,876,877,878,879,880,881,882,883,884,891,892,893,894,895,897,898,899,900,
901,904,906,908,909,910,911,915,918,919,924,927,928,929,930,939,942,943,945,
946,947,949,954,955,958,961,971,984,986,987,994,997,1007,1011,1017,1021,1022,
1038,1039,1040,1041,1047,1048,1049,1050,1051,1053,1058,1060,1062,1069,1070,
1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1085,1086,
1087,1088,1089,1090,1098,1111,1112,1113,1115,1116,1117,1118,1125,1126,1134,
1135,1139,1140,1144,1156,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,
1181,1202,1203,1215,1216,1225,1227,1243,1245,1254,1256,1290,1291,1294,1295,
1297,1301,1302,1303,1304,1305,1306,1307,1308,1317,1318,1319,1320,1321,1322,
1323,1343,1344,1345,1347,1348,1349,1351,1352,1356,1357,1361,1364,1366,1371,
1413,1414,1417,1431,1432,1433,1456,1457,1458,1459,1460,1461,1467,1468,1492,
1512,1513,1514,1515,1517,1518,1526,1527,1528,1529,1530,1531,1535,1536,1537,
1538,1539,1540,1541,1542,1547,1548,1549,1550,1552,1554,1562,1564,1566,1567,
1568,1569,1570,1571,1577,1581,1582,1584,1586,1588,1589,1590,1591,1592,1593,
1594,1595,1602,1606,1607,1608,1609,1613,1614,1617,1618,1626,1627,1628,1629,
1630,1631,1632,1633,1639,1640,1642,1644,1645,1646,1648,1653,1654,1655,1658,
1659,1665,1666,1668,1669,1672,1674,1678,1680,1682,1684,1685,1691,1694,1699,
1702,1703,1704,1708,1709,1721,1726,1752,1753,1778,1781,1782,1790,1810,1811,
1812,1818,1824,1826,1827,1828,1830,1840,1841,1842,1843,1851,1852,1853,1854,
1855,1856,1857,1858,1859,1860,1861,1862,1863,1864,1873,1874,1875,1876,1877,
1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1902,1903,1904,
1910,1911,1912,1913,1914,1915,1916,1917,1934,1935,1936,1937,1938,1939,1947,
1948,1952,1953,1954,1955,1970,1972,2009,2011,2077,2079,2080,2086,2087,2093,
2094,2097,2099,2103,2109,2128,2129,2131,2132,2133,2134,2135,2136,2139,2140,
2142,2143,2144,2145,2147,2149,2166,2167,2168,2169,2170,2173,2174,2177,2179,
2180,2185,2187,2196,2197,2202,2203,2208,2213,2274,2294,2295,2296,2304,2305,
2311,2312,2322,2323,2324,2325,2326,2327,2328,2329,2330,2331,2332,2333,2345,
2346,2347,2348,2352,2353,2354,2355,2358,2360,2361,2362,2363,2364,2365,2369,
2370,2373,2374,2376,2377,2378,2379,2380,2381,2382,2383,2384,2387,2394,2395,
2396,2407,2409,2410,2412,2418,2420,2421,2422,2428,2429,2430,2432,2433,2435,
2436,2438,2439,2444,2445,2446,2447,2452,2453,2462,2465,2527,2532,2535,2536,
2537,2567,2568,2569,2570,2580,2581,2582,2588,2589,2609,2610,2611,2612,2623,
2624,2625,2640,2641,2647,2648,2650,2651,2652,2653,2654,2655,2656,2657,2658,
2659,2660,2661,2670,2671,2687,2688,2692,2693,2743,2758,2762,2770,2775,2782,
2783,2784,2785,2787,2788,2793,2794,2799,2800,2811,2812,2832,2833,2838,2839,
2841,2842,2843,2844,2845,2848,2850,2852,2873,2875,2877,2879,2880,2882,2883,
2886,2887,2888,2890,2891,2895,2897,2902,2903,2922,2923,2929,2932,2965,2966,
2967,2968,2969,2970,2984,2985,2986,2992,2993,2994,3000,3001,3002,3003,3024,
3025,3026,3027,3047,3048,3049,3050,3096,3097,3098,3099,3100,3101,3102,3103,
3105,3106,3108,3115,3116,3158,3159,3160,3161,3162,3163,3165,3166,3167,3170,
3171,3193,3195,3196,3197,3198,3199,3200,3201,3204,3208,3210,3211,3212,3214,
3216,3217,3218,3229,3230,3236,3290,3291,3311,3312,3314,3315,3317,3319,3328,
3329,3336,3337,3346,3347,3348,3349,3371,3374,3375,3377,3378,3381,3382,3383,
3387,3388,3404,3409,3411,3412,3417,3420,3423,3424,3434,3436,3439,3442,3447,
3449,3470,3471,3490,3491,3505,3506,3507,3508,3509,3510,3511,3512,3513,3522,
3524,3525,3537,3538,3539,3540,3581,3584,3585,3610,3612,3613,3615,3623,3624,
3625,3626,3634,3638,3639,3646,3647,3665,3666,3668,3669,3670,3671,3674,3675,
3676,3679,3681,3687,3692,3694,3696,3720,3764,3765,3781,3782,3783,3784,3786,
3787,3788,3789,3792,3793,3798,3799,3850,3851,3878,3879,3883,3884,3885,3886,
3887,3888,3907,3908,3909,3930,3931,3953,3959,3960,3969,3970,3981,3982,3983,
3985,3987,3988,3989,3990,3991,3994,4004,4005,4006,4007,4008,4009,4011,4012,
4018,4072,4073,4079,4125,4127,4130,4131,4132,4133,4137,4138,4139,4140,4141,
4142,4185,4198,4199,4200,4201,4216,4221,4222,4223,4224,4226,4229,4236,4250,
4251,4252,4253,4278,4280,4293,4295,4303,4304,4339,4345,4346,4347,4353,4354,
4355,4363,4380,4381,4382,4383,4385,4386,4419,4420,4421,4443,4444,4457,4458,
4469,4484,4485,4520,4531],[1,2,4,5,6,8,9,10,11,12,13,19,20,22,23,24,26,27,28,
29,31,32,34,35,38,40,41,42,44,46,48,50,51,57,65,71,73,74,75,76,77,82,87,88,100
,101,107,108,118,120,121,130,132,134,136,139,140,141,143,144,145,147,148,153,
155,156,157,159,160,162,163,168,172,173,174,177,178,179,180,188,189,190,195,
197,199,200,201,204,206,207,208,209,212,214,215,216,218,219,221,236,237,239,
240,241,257,258,260,261,262,263,280,281,282,331,332,346,347,366,367,369,378,
379,380,381,383,384,385,386,387,388,389,405,409,414,415,416,418,420,423,428,
429,433,436,438,439,440,442,445,446,447,448,449,450,452,454,455,456,457,464,
471,474,479,480,481,482,483,484,485,494,497,498,500,501,505,507,508,521,522,
524,528,536,551,556,557,559,560,561,562,569,574,575,576,577,586,592,593,595,
597,604,607,608,609,613,616,618,619,627,629,643,645,649,650,651,652,656,658,
660,661,663,688,689,690,742,743,769,799,800,809,847,848,849,857,865,866,867,
868,873,876,877,880,881,882,883,884,891,892,893,895,906,911,915,918,919,924,
927,929,930,942,945,946,947,954,955,958,961,971,984,986,987,994,997,1007,1011,
1017,1021,1022,1027,1029,1031,1033,1034,1037,1038,1039,1040,1041,1045,1050,
1058,1059,1060,1067,1069,1070,1078,1079,1080,1081,1082,1083,1098,1104,1111,
1115,1116,1125,1126,1139,1140,1156,1160,1167,1168,1169,1181,1183,1185,1191,
1192,1202,1203,1206,1207,1208,1217,1225,1231,1232,1243,1246,1254,1263,1264,
1290,1291,1294,1295,1305,1317,1318,1342,1343,1344,1345,1349,1351,1352,1353,
1356,1357,1358,1360,1361,1363,1364,1366,1370,1371,1373,1374,1376,1378,1379,
1381,1383,1456,1511,1512,1513,1514,1515,1518,1526,1527,1528,1535,1539,1552,
1554,1562,1564,1566,1567,1568,1571,1577,1579,1584,1586,1592,1593,1602,1606,
1607,1613,1614,1617,1618,1626,1627,1628,1629,1639,1642,1644,1648,1653,1654,
1658,1659,1665,1669,1672,1678,1680,1682,1684,1685,1691,1699,1704,1708,1721,
1726,1752,1753,1778,1781,1782,1797,1799,1801,1804,1807,1808,1810,1811,1812,
1818,1826,1851,1852,1853,1854,1873,1874,1875,1882,1891,1912,1913,1925,1934,
1935,1944,1947,1948,1981,1988,2009,2017,2036,2044,2052,2077,2079,2080,2082,
2083,2084,2086,2087,2097,2103,2128,2129,2136,2139,2140,2147,2166,2167,2168,
2170,2177,2179,2180,2185,2187,2189,2195,2196,2197,2201,2202,2203,2207,2208,
2211,2213,2215,2216,2218,2219,2220,2222,2223,2224,2225,2226,2230,2236,2238,
2293,2294,2295,2300,2301,2304,2307,2311,2312,2329,2330,2331,2332,2333,2345,
2346,2350,2352,2354,2358,2360,2361,2369,2370,2373,2376,2387,2394,2398,2400,
2407,2408,2409,2418,2420,2430,2433,2436,2444,2446,2447,2465,2527,2547,2558,
2564,2567,2568,2569,2573,2580,2581,2582,2588,2589,2650,2651,2681,2743,2749,
2750,2758,2770,2782,2783,2787,2788,2799,2811,2832,2833,2841,2845,2850,2873,
2875,2877,2880,2882,2883,2886,2887,2888,2895,2897,2902,2917,2922,2923,2928,
2929,2932,2933,2934,2935,2937,2938,2939,2946,2947,2965,2967,2990,2992,2993,
2994,3004,3012,3026,3047,3048,3053,3056,3061,3064,3070,3103,3115,3116,3186,
3193,3199,3200,3201,3203,3208,3210,3211,3214,3216,3217,3221,3226,3229,3230,
3231,3232,3236,3301,3303,3305,3308,3311,3312,3317,3336,3347,3371,3378,3387,
3404,3409,3411,3417,3420,3434,3439,3447,3470,3471,3472,3479,3482,3490,3505,
3506,3571,3584,3585,3586,3590,3656,3665,3674,3675,3676,3677,3681,3685,3687,
3690,3692,3694,3701,3703,3705,3707,3710,3713,3715,3716,3717,3720,3753,3754,
3757,3764,3777,3782,3850,3873,3878,3883,3885,3886,3930,3931,3932,3934,3939,
3981,3983,3985,3987,3989,3994,4001,4004,4005,4008,4009,4015,4020,4023,4025,
4027,4030,4032,4034,4049,4055,4079,4120,4125,4130,4132,4135,4137,4138,4141,
4166,4168,4170,4200,4216,4221,4231,4250,4252,4253,4278,4288,4292,4293,4298,
4303,4309,4311,4353,4354,4356,4363,4366,4380,4394,4396,4399,4402,4405,4417,
4427,4430,4432,4434,4453,4457,4465,4471,4474,4484,4492,4499,4522,4532],[1,2,3,
4,5,6,7,8,9,10,12,13,14,15,16,17,19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,
35,36,37,38,39,40,41,42,43,44,45,46,47,48,50,52,55,56,62,63,65,68,70,71,73,74,
75,76,77,79,80,81,87,88,90,92,100,101,106,107,108,109,110,118,121,124,125,126,
130,131,132,134,135,136,139,140,141,142,143,145,146,147,150,151,153,154,155,
156,158,159,160,161,162,163,164,165,166,168,169,170,171,172,173,174,175,176,
177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,
197,198,199,200,201,203,204,205,206,207,208,209,210,213,214,215,216,221,227,
231,232,237,240,241,243,245,246,248,260,262,266,268,270,272,275,278,279,281,
282,283,285,286,287,288,289,331,332,338,339,346,347,351,366,367,369,370,372,
375,376,377,379,382,383,384,386,387,388,390,391,393,394,397,398,401,402,405,
408,409,410,414,415,416,418,420,423,424,425,428,429,430,431,433,436,438,439,
441,443,445,446,447,448,449,452,453,454,455,456,457,458,461,463,467,470,471,
474,475,476,477,478,479,480,481,482,483,484,486,487,488,489,491,496,497,498,
499,500,502,504,505,506,507,511,514,522,523,525,526,527,529,532,533,534,535,
537,540,541,544,546,547,548,549,550,551,552,553,554,555,556,557,558,560,561,
562,564,570,572,574,575,576,578,579,580,581,582,583,586,589,590,591,592,593,
595,596,598,600,602,603,604,605,606,607,609,610,613,615,616,617,618,619,620,
623,627,631,644,647,649,650,651,652,653,655,656,658,659,660,661,663,664,690,
699,700,704,757,761,763,764,772,801,804,805,806,809,811,847,848,849,857,860,
861,862,863,865,866,869,870,871,874,878,880,883,885,886,887,888,889,891,892,
894,895,897,898,901,903,904,905,906,910,914,915,916,918,921,922,923,924,926,
927,928,931,933,935,936,937,938,940,942,943,944,946,947,949,951,953,954,955,
960,962,971,978,984,986,987,988,989,993,994,997,1006,1007,1011,1016,1017,1019,
1020,1021,1022,1028,1030,1032,1033,1035,1036,1038,1040,1041,1044,1046,1048,
1051,1053,1060,1062,1063,1068,1071,1072,1073,1076,1077,1078,1080,1081,1083,
1085,1086,1087,1089,1095,1098,1103,1105,1113,1115,1116,1124,1127,1133,1134,
1135,1139,1140,1144,1145,1147,1152,1155,1160,1161,1162,1163,1164,1165,1166,
1167,1170,1172,1175,1181,1182,1183,1184,1189,1191,1192,1195,1198,1199,1201,
1202,1211,1212,1213,1214,1215,1216,1218,1221,1222,1227,1229,1230,1232,1238,
1243,1245,1247,1250,1252,1256,1258,1259,1262,1264,1290,1291,1297,1302,1303,
1307,1319,1320,1322,1341,1343,1344,1347,1348,1349,1351,1352,1353,1354,1356,
1357,1358,1360,1361,1362,1363,1364,1366,1367,1368,1369,1370,1371,1373,1374,
1375,1376,1377,1378,1379,1380,1381,1384,1461,1511,1512,1513,1514,1515,1516,
1517,1519,1522,1523,1525,1526,1529,1536,1540,1553,1554,1555,1563,1566,1567,
1569,1570,1571,1572,1575,1576,1578,1581,1582,1585,1588,1590,1592,1593,1595,
1596,1599,1601,1607,1609,1613,1614,1615,1619,1620,1621,1622,1624,1625,1626,
1632,1634,1636,1637,1638,1639,1640,1642,1643,1645,1646,1649,1650,1651,1654,
1655,1656,1660,1662,1663,1664,1665,1666,1670,1673,1675,1676,1679,1681,1683,
1687,1688,1690,1692,1700,1701,1705,1706,1710,1711,1721,1724,1726,1752,1753,
1754,1761,1777,1778,1781,1782,1784,1798,1800,1802,1805,1807,1809,1810,1811,
1812,1826,1828,1852,1853,1856,1859,1864,1876,1878,1881,1883,1884,1889,1890,
1896,1912,1913,1916,1924,1936,1937,1939,1943,1946,1953,1954,1955,1978,1979,
1986,1999,2007,2011,2014,2033,2035,2042,2043,2051,2052,2077,2079,2080,2082,
2083,2084,2093,2094,2099,2105,2109,2131,2132,2134,2142,2143,2144,2145,2149,
2166,2167,2168,2169,2173,2174,2177,2178,2179,2180,2185,2187,2189,2195,2196,
2197,2198,2201,2202,2203,2204,2207,2208,2209,2210,2211,2212,2213,2215,2216,
2217,2218,2219,2220,2221,2222,2223,2224,2225,2226,2227,2231,2237,2239,2293,
2295,2296,2297,2298,2299,2305,2308,2309,2313,2319,2322,2323,2325,2326,2327,
2329,2331,2334,2338,2339,2345,2347,2349,2351,2356,2357,2358,2363,2365,2371,
2372,2373,2374,2380,2389,2391,2395,2396,2398,2399,2400,2401,2402,2403,2404,
2407,2410,2412,2414,2417,2421,2422,2431,2434,2437,2442,2443,2448,2449,2450,
2454,2463,2464,2526,2527,2547,2559,2563,2568,2569,2570,2573,2580,2581,2582,
2588,2589,2655,2658,2661,2683,2743,2749,2750,2762,2773,2775,2779,2780,2784,
2785,2793,2794,2803,2814,2838,2839,2842,2846,2849,2852,2875,2877,2878,2879,
2880,2882,2884,2885,2886,2887,2888,2889,2890,2891,2895,2897,2902,2903,2917,
2919,2922,2923,2928,2929,2931,2932,2933,2934,2935,2936,2937,2938,2939,2945,
2948,2967,2969,2988,2989,2998,2999,3000,3001,3002,3003,3013,3027,3032,3035,
3049,3050,3052,3055,3056,3057,3058,3060,3063,3065,3068,3071,3104,3115,3116,
3186,3193,3200,3201,3202,3204,3205,3209,3210,3211,3212,3215,3216,3217,3218,
3220,3222,3226,3229,3230,3231,3232,3236,3301,3304,3305,3309,3313,3314,3315,
3319,3339,3350,3372,3376,3379,3380,3388,3407,3409,3411,3412,3418,3422,3423,
3424,3433,3436,3440,3442,3447,3449,3467,3470,3471,3472,3478,3483,3491,3509,
3511,3572,3574,3584,3585,3586,3587,3589,3590,3657,3666,3675,3676,3678,3679,
3681,3686,3688,3689,3691,3692,3693,3694,3696,3700,3702,3704,3706,3708,3709,
3711,3712,3714,3715,3716,3717,3720,3753,3755,3758,3765,3778,3779,3785,3849,
3851,3874,3879,3884,3887,3888,3930,3931,3932,3933,3934,3935,3940,3982,3985,
3987,3988,3990,3994,4002,4003,4006,4007,4010,4011,4012,4016,4021,4022,4024,
4026,4028,4029,4031,4034,4049,4056,4079,4122,4127,4131,4133,4136,4139,4140,
4142,4165,4166,4168,4171,4201,4217,4222,4223,4232,4251,4252,4253,4280,4289,
4291,4295,4299,4304,4310,4311,4354,4355,4357,4358,4363,4367,4381,4393,4397,
4401,4402,4404,4417,4428,4431,4433,4435,4454,4458,4465,4472,4473,4485,4492,
4500,4521,4533],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,19,21,22,23,24,25,26,
28,29,30,31,32,33,34,35,37,40,41,42,43,44,45,48,49,50,51,52,54,55,57,62,63,64,
65,66,67,68,69,70,73,74,75,76,77,78,79,80,81,82,85,86,89,90,91,96,99,100,101,
102,103,104,105,108,109,110,113,114,118,119,120,121,128,130,131,132,135,136,
139,140,141,143,144,153,155,158,160,162,165,168,169,170,171,172,173,174,175,
176,179,180,184,185,186,187,189,191,199,201,205,206,212,213,214,215,218,220,
228,229,232,233,234,236,237,238,242,243,244,245,247,254,255,257,258,259,264,
265,266,273,274,281,283,284,285,286,287,290,300,301,302,303,304,305,316,326,
327,328,329,330,336,340,343,344,366,367,368,369,371,372,380,381,382,383,384,
385,386,390,391,392,405,406,407,408,411,412,413,414,415,416,417,420,422,424,
425,426,427,428,429,430,431,439,445,446,447,448,449,450,451,452,453,454,457,
458,459,460,474,475,476,477,479,482,483,484,500,501,502,503,504,505,506,507,
509,510,522,523,528,529,531,532,533,536,537,538,539,541,549,557,565,569,570,
571,572,583,584,585,586,597,598,599,600,613,621,629,634,638,646,650,652,663,
667,671,684,685,686,687,688,691,692,693,694,695,696,700,701,716,717,719,720,
721,723,724,756,767,768,784,788,796,829,848,849,850,851,857,865,876,877,878,
879,880,881,883,886,887,888,917,918,922,933,934,938,939,945,964,969,971,977,
978,979,980,981,986,987,988,989,990,991,992,997,1027,1028,1033,1039,1047,1049,
1051,1055,1058,1069,1070,1071,1072,1073,1074,1075,1076,1078,1080,1084,1090,
1091,1092,1093,1094,1095,1098,1115,1117,1123,1130,1145,1146,1147,1148,1149,
1150,1151,1156,1202,1212,1223,1240,1253,1282,1293,1294,1295,1296,1300,1309,
1310,1311,1324,1325,1326,1335,1343,1344,1351,1353,1356,1378,1388,1390,1391,
1392,1393,1395,1408,1427,1432,1487,1489,1512,1513,1515,1516,1535,1536,1537,
1538,1556,1559,1562,1563,1564,1565,1584,1585,1586,1587,1607,1610,1620,1628,
1630,1642,1643,1719,1721,1722,1723,1724,1755,1760,1791,1806,1817,1818,1819,
1824,1832,1841,1845,1846,1851,1855,1856,1857,1877,1887,1899,1902,1970,2005,
2086,2087,2090,2091,2092,2097,2098,2120,2123,2154,2161,2164,2166,2167,2168,
2169,2178,2179,2180,2185,2186,2192,2220,2246,2294,2311,2312,2313,2314,2315,
2316,2317,2318,2367,2384,2390,2393,2404,2407,2413,2415,2489,2533,2534,2538,
2547,2548,2549,2567,2568,2591,2592,2595,2596,2597,2598,2617,2623,2645,2688,
2715,2751,2758,2759,2760,2761,2765,2767,2820,2873,2876,2878,2880,2881,2883,
2884,2885,2888,2890,2895,2896,2905,2965,2966,2976,2977,2984,3036,3044,3152,
3177,3186,3187,3191,3193,3199,3200,3202,3203,3220,3221,3260,3279,3361,3370,
3402,3404,3405,3406,3407,3419,3437,3444,3477,3493,3496,3497,3522,3533,3605,
3606,3614,3665,3666,3674,3681,3707,3709,3837,3869,3878,3903,3964,3978,3983,
3984,3991,3997,4039,4125,4126,4129,4168,4195,4202,4235,4285,4309,4310,4311,
4400,4447,4479,4524,4534],[1,2,4,5,6,8,9,10,11,12,13,19,20,22,23,24,26,28,29,
31,32,34,35,38,40,41,42,44,46,48,49,50,51,57,65,71,73,74,75,76,77,78,82,87,88,
96,100,101,102,107,108,116,118,119,120,121,128,130,132,136,139,140,141,143,144
,153,155,160,162,163,168,172,173,174,177,178,179,180,189,190,197,199,201,206,
212,214,215,218,219,221,236,237,238,239,240,241,257,258,259,260,261,262,263,
280,281,282,316,331,332,346,347,352,358,362,366,367,369,371,378,379,380,381,
384,385,386,387,388,389,403,405,409,411,414,415,416,420,423,428,429,433,436,
438,439,445,446,447,448,449,450,451,452,454,457,464,474,479,482,483,484,485,
500,501,503,505,507,508,521,522,528,536,556,557,559,560,562,565,569,576,586,
593,597,607,613,619,629,634,638,645,650,656,660,671,687,688,689,690,716,717,
718,742,743,769,778,799,800,809,813,821,848,849,850,857,865,876,877,882,883,
884,891,892,893,902,906,918,927,929,930,946,947,971,984,986,987,994,997,1007,
1011,1017,1021,1022,1027,1033,1039,1041,1050,1058,1069,1070,1078,1080,1081,
1082,1083,1084,1098,1111,1115,1125,1126,1139,1156,1167,1168,1169,1202,1203,
1225,1243,1254,1275,1294,1295,1305,1310,1316,1317,1318,1325,1330,1335,1343,
1344,1351,1356,1361,1366,1388,1389,1435,1446,1447,1456,1462,1512,1513,1515,
1518,1535,1539,1543,1556,1562,1564,1571,1584,1586,1593,1607,1617,1618,1639,
1642,1644,1695,1721,1726,1752,1753,1778,1781,1782,1791,1804,1817,1818,1832,
1845,1851,1852,1874,1875,1882,1913,1934,1948,2009,2086,2087,2097,2128,2129,
2136,2139,2140,2147,2157,2166,2167,2168,2179,2180,2185,2197,2202,2208,2256,
2294,2311,2312,2330,2331,2332,2333,2376,2387,2394,2407,2409,2418,2420,2459,
2527,2533,2540,2542,2547,2548,2549,2567,2568,2591,2595,2629,2631,2650,2751,
2758,2787,2788,2832,2833,2841,2850,2873,2877,2880,2883,2886,2887,2888,2895,
2902,2922,2929,2965,2976,2992,3047,3048,3152,3183,3185,3186,3193,3199,3200,
3208,3210,3214,3216,3253,3387,3389,3404,3411,3417,3420,3434,3439,3447,3470,
3477,3493,3505,3517,3605,3629,3631,3665,3674,3681,3687,3692,3850,3878,3894,
3972,3978,3983,3989,4004,4008,4039,4125,4132,4141,4168,4216,4293,4309,4311,
4399,4447,4478,4524,4535],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,19,21,22,23,
24,25,26,27,28,29,31,32,33,35,40,41,42,44,45,48,49,50,51,52,54,55,57,62,63,64,
65,66,67,68,69,70,73,74,75,76,77,78,79,80,81,82,85,86,89,90,91,96,99,100,101,
102,103,104,105,106,107,108,109,110,111,112,113,114,117,118,130,131,132,134,
135,136,139,140,141,144,153,160,162,165,168,172,173,179,180,184,185,186,187,
189,199,200,201,204,206,207,208,209,214,215,216,217,218,220,228,229,232,233,
234,236,237,238,240,242,243,244,245,247,249,251,252,254,255,257,258,259,264,
265,266,273,274,281,283,284,285,286,287,290,300,301,302,303,304,305,316,326,
327,328,329,330,331,332,333,334,335,336,337,338,339,340,343,344,346,347,348,
349,350,351,353,354,355,366,369,380,381,382,383,405,414,415,416,417,418,420,
421,422,423,424,425,426,427,428,429,430,431,432,433,435,436,437,438,439,445,
446,447,448,449,450,451,452,453,457,459,460,474,482,483,484,500,501,502,503,
504,505,507,509,510,522,549,557,565,586,590,591,592,593,595,613,616,617,618,
619,623,627,649,650,651,652,653,654,655,656,658,659,660,661,663,664,667,671,
684,685,686,687,688,691,692,693,694,695,696,700,701,716,717,719,720,721,723,
724,727,730,734,735,737,738,739,740,741,756,767,768,776,777,779,780,784,787,
788,790,791,792,794,796,809,810,811,812,824,825,829,836,840,846,847,848,849,
852,857,876,877,878,879,880,881,918,939,945,954,955,958,961,967,968,969,970,
971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,
990,991,992,993,994,995,996,997,999,1000,1001,1002,1003,1004,1005,1006,1007,
1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,
1023,1024,1025,1026,1033,1038,1039,1047,1049,1051,1055,1058,1069,1070,1071,
1072,1073,1074,1075,1076,1078,1080,1084,1090,1091,1092,1093,1094,1098,1115,
1116,1117,1118,1139,1140,1141,1144,1183,1191,1192,1202,1232,1243,1245,1264,
1282,1290,1291,1335,1343,1344,1351,1352,1353,1354,1356,1357,1358,1359,1360,
1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1373,1374,1375,1376,
1377,1378,1379,1380,1381,1388,1390,1391,1392,1393,1395,1408,1419,1427,1432,
1450,1453,1469,1472,1474,1475,1476,1478,1481,1487,1489,1491,1492,1495,1502,
1511,1512,1515,1535,1536,1537,1538,1607,1608,1613,1614,1628,1630,1642,1680,
1699,1702,1703,1704,1712,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,
1724,1725,1726,1727,1728,1729,1731,1732,1733,1734,1735,1736,1737,1738,1739,
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,
1785,1786,1787,1788,1789,1807,1810,1811,1812,1813,1814,1815,1816,1817,1818,
1819,1824,1832,1841,1845,1846,1851,1855,1856,1857,1877,1887,1899,1902,1908,
1910,1911,1912,1913,1914,1915,1916,1917,1970,1971,1972,2052,2075,2077,2079,
2080,2082,2083,2084,2164,2166,2167,2168,2169,2179,2180,2185,2186,2187,2188,
2189,2190,2191,2192,2193,2194,2195,2196,2197,2198,2199,2200,2201,2202,2203,
2204,2205,2206,2207,2208,2209,2210,2211,2212,2213,2215,2216,2217,2218,2219,
2220,2221,2222,2223,2224,2225,2226,2227,2228,2243,2246,2265,2266,2272,2277,
2279,2293,2294,2358,2362,2364,2384,2398,2400,2407,2428,2435,2436,2468,2469,
2471,2472,2473,2474,2475,2476,2477,2478,2479,2482,2483,2484,2485,2486,2487,
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,
2518,2519,2520,2522,2523,2524,2525,2526,2527,2528,2529,2530,2531,2547,2548,
2549,2567,2573,2574,2575,2576,2577,2578,2579,2580,2581,2582,2583,2584,2585,
2586,2587,2588,2589,2591,2592,2595,2596,2597,2598,2614,2617,2623,2636,2637,
2643,2645,2670,2671,2677,2688,2715,2743,2749,2750,2880,2882,2888,2890,2895,
2896,2897,2898,2899,2900,2902,2903,2904,2905,2906,2907,2908,2909,2910,2911,
2912,2913,2914,2915,2917,2918,2919,2920,2921,2922,2923,2924,2925,2926,2927,
2928,2929,2930,2931,2932,2933,2934,2935,2936,2937,2938,2939,2940,2953,2964,
2965,2966,2976,2977,2984,3056,3105,3115,3116,3117,3118,3119,3120,3121,3124,
3127,3128,3129,3130,3131,3132,3133,3134,3135,3136,3137,3138,3139,3140,3141,
3142,3143,3144,3145,3146,3147,3148,3149,3151,3186,3187,3191,3193,3199,3203,
3221,3223,3224,3225,3226,3227,3228,3229,3230,3231,3232,3233,3234,3235,3236,
3237,3238,3239,3240,3260,3264,3267,3279,3287,3301,3305,3425,3426,3427,3428,
3429,3430,3431,3443,3444,3445,3446,3447,3449,3450,3451,3452,3453,3454,3455,
3456,3457,3458,3459,3460,3461,3466,3467,3468,3469,3470,3471,3472,3473,3492,
3493,3496,3497,3518,3522,3533,3536,3584,3585,3586,3587,3588,3589,3590,3595,
3597,3598,3599,3600,3601,3602,3603,3663,3665,3666,3681,3684,3701,3705,3707,
3715,3716,3717,3718,3719,3720,3721,3722,3723,3724,3742,3752,3753,3756,3810,
3826,3827,3828,3832,3839,3842,3845,3846,3852,3853,3854,3855,3856,3858,3859,
3860,3861,3862,3903,3910,3912,3930,3931,3932,3933,3934,3935,3938,3941,3978,
3991,3994,3995,3996,4000,4017,4018,4019,4032,4034,4038,4048,4049,4050,4079,
4080,4081,4082,4100,4104,4106,4107,4108,4155,4165,4166,4168,4195,4210,4214,
4215,4225,4227,4228,4229,4230,4238,4253,4254,4255,4256,4257,4258,4268,4311,
4325,4328,4330,4348,4362,4363,4364,4365,4402,4414,4417,4422,4429,4447,4465,
4479,4492,4505,4514,4526,4536],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,
20,21,22,23,24,25,26,28,29,31,32,33,34,35,38,40,41,42,44,45,46,48,49,50,51,52,
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
,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,120,121,130,132,
136,139,140,141,143,144,145,147,148,152,153,155,156,157,159,160,162,163,165,
166,168,172,173,174,177,178,179,180,182,183,184,185,186,187,188,189,190,195,
197,199,200,201,204,206,207,208,209,212,214,215,216,218,219,220,221,222,223,
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,
357,358,359,360,361,362,363,364,365,366,367,369,378,379,380,381,382,383,384,
385,386,387,388,389,405,409,414,415,416,420,423,428,429,433,436,438,439,440,
442,445,446,447,448,449,450,451,452,453,454,455,456,457,459,460,464,468,471,
474,479,480,481,482,483,484,485,486,487,488,489,494,497,498,500,501,502,503,
504,505,507,508,509,510,511,512,513,519,520,521,522,524,526,527,528,536,547,
548,549,550,551,552,553,554,555,556,557,559,560,561,562,565,566,567,568,569,
573,574,575,576,577,581,582,586,590,591,592,593,595,597,602,603,604,607,608,
609,611,613,616,617,618,619,622,623,625,629,643,645,649,650,651,652,656,658,
660,661,663,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,
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,
833,834,835,836,837,838,839,840,841,842,843,844,845,846,848,849,852,857,865,
866,867,868,873,876,877,878,879,880,881,882,883,884,891,892,893,894,895,906,
911,915,918,919,924,927,929,930,939,942,943,945,946,947,954,955,958,961,971,
984,986,987,994,997,1007,1011,1017,1021,1022,1027,1031,1033,1038,1039,1040,
1041,1042,1043,1045,1047,1048,1049,1050,1051,1053,1054,1055,1058,1059,1060,
1064,1065,1067,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,
1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1098,
1099,1100,1101,1102,1104,1111,1115,1116,1117,1118,1125,1126,1134,1135,1139,
1140,1141,1144,1156,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1181,
1183,1185,1191,1192,1202,1203,1206,1207,1208,1215,1216,1217,1225,1226,1227,
1231,1232,1233,1243,1245,1246,1254,1256,1263,1264,1270,1271,1275,1276,1277,
1278,1280,1282,1288,1294,1295,1305,1317,1318,1335,1342,1343,1344,1351,1353,
1356,1358,1360,1361,1363,1366,1370,1371,1373,1374,1376,1378,1379,1381,1383,
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,
1507,1508,1509,1510,1512,1513,1514,1515,1518,1526,1527,1528,1535,1536,1537,
1538,1539,1540,1541,1542,1552,1554,1562,1564,1566,1567,1568,1571,1577,1579,
1580,1584,1586,1588,1589,1592,1593,1602,1606,1607,1608,1609,1613,1614,1617,
1618,1626,1627,1628,1629,1630,1631,1632,1633,1639,1642,1644,1646,1647,1648,
1653,1654,1655,1658,1659,1665,1666,1668,1669,1672,1674,1678,1680,1682,1684,
1685,1689,1691,1694,1699,1702,1703,1704,1708,1709,1721,1726,1752,1753,1778,
1781,1782,1797,1799,1801,1804,1807,1810,1811,1812,1817,1818,1819,1824,1826,
1830,1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,1843,1844,1845,
1846,1847,1850,1851,1852,1853,1854,1855,1856,1857,1858,1859,1860,1861,1862,
1863,1864,1865,1873,1874,1875,1876,1877,1878,1879,1880,1881,1882,1883,1884,
1885,1886,1887,1888,1889,1891,1892,1893,1894,1895,1897,1899,1901,1902,1904,
1906,1907,1908,1909,1910,1911,1912,1913,1914,1915,1916,1917,1922,1925,1934,
1935,1936,1937,1938,1939,1940,1944,1947,1948,1949,1952,1953,1954,1955,1956,
1957,1958,1970,1971,1972,1973,1981,1988,1990,2009,2011,2017,2019,2020,2021,
2032,2036,2044,2045,2052,2060,2070,2075,2086,2087,2097,2103,2128,2129,2136,
2139,2140,2147,2164,2166,2167,2168,2169,2179,2180,2185,2189,2195,2197,2201,
2202,2207,2208,2211,2215,2216,2218,2219,2220,2222,2223,2224,2225,2226,2230,
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,
2285,2286,2287,2288,2289,2290,2291,2292,2294,2295,2300,2301,2302,2304,2305,
2307,2311,2312,2322,2323,2324,2329,2330,2331,2332,2333,2345,2346,2350,2352,
2353,2354,2355,2358,2360,2361,2362,2363,2364,2365,2369,2370,2373,2374,2376,
2377,2378,2379,2380,2381,2382,2383,2384,2387,2394,2395,2397,2398,2400,2407,
2408,2409,2412,2418,2420,2421,2428,2429,2430,2432,2433,2435,2436,2438,2439,
2444,2445,2446,2447,2452,2453,2455,2462,2465,2527,2547,2548,2549,2550,2553,
2558,2564,2567,2568,2569,2573,2580,2588,2591,2592,2594,2595,2596,2597,2598,
2599,2600,2606,2607,2609,2610,2611,2612,2613,2614,2616,2617,2618,2622,2623,
2625,2627,2629,2631,2632,2633,2634,2635,2636,2637,2638,2639,2640,2641,2642,
2643,2644,2645,2646,2647,2648,2649,2650,2651,2652,2653,2654,2655,2656,2657,
2658,2659,2660,2661,2670,2671,2673,2677,2678,2679,2681,2687,2688,2689,2690,
2691,2692,2693,2703,2706,2708,2709,2715,2716,2726,2731,2739,2740,2741,2758,
2770,2782,2783,2787,2788,2799,2811,2832,2833,2841,2843,2845,2850,2872,2873,
2875,2877,2879,2880,2882,2883,2886,2887,2888,2890,2891,2895,2902,2903,2917,
2922,2928,2929,2933,2934,2935,2937,2938,2939,2946,2949,2950,2951,2952,2953,
2954,2955,2956,2957,2958,2959,2960,2961,2962,2963,2965,2966,2967,2970,2976,
2977,2978,2984,2986,2987,2990,2992,2993,2994,3000,3001,3004,3005,3006,3011,
3012,3023,3024,3025,3026,3027,3047,3048,3050,3053,3056,3061,3064,3070,3082,
3096,3097,3098,3099,3100,3101,3102,3103,3105,3106,3107,3108,3185,3186,3187,
3191,3193,3199,3200,3203,3208,3210,3211,3214,3216,3221,3226,3229,3231,3232,
3244,3245,3247,3248,3249,3250,3251,3252,3253,3254,3258,3259,3260,3261,3262,
3264,3265,3266,3267,3268,3269,3270,3271,3272,3273,3274,3275,3276,3277,3278,
3279,3281,3287,3288,3290,3291,3298,3308,3311,3312,3317,3328,3336,3347,3348,
3371,3377,3378,3382,3387,3404,3409,3411,3412,3417,3420,3423,3424,3434,3436,
3439,3442,3447,3449,3470,3472,3479,3480,3482,3486,3489,3490,3493,3494,3495,
3496,3497,3502,3503,3505,3506,3510,3511,3512,3513,3517,3518,3521,3522,3523,
3525,3533,3534,3536,3537,3538,3539,3541,3543,3546,3548,3571,3580,3581,3582,
3655,3656,3658,3659,3660,3661,3663,3664,3665,3666,3674,3675,3677,3681,3685,
3687,3690,3692,3701,3703,3705,3707,3710,3713,3715,3716,3717,3731,3732,3733,
3736,3737,3738,3739,3740,3741,3742,3743,3744,3745,3746,3747,3749,3757,3764,
3776,3777,3782,3783,3786,3787,3793,3798,3850,3851,3870,3878,3883,3886,3891,
3892,3893,3894,3899,3900,3901,3902,3903,3904,3905,3907,3909,3910,3911,3912,
3913,3915,3917,3921,3923,3924,3978,3979,3981,3982,3983,3985,3989,3990,3991,
3994,4001,4004,4007,4008,4012,4015,4018,4020,4023,4025,4027,4030,4032,4034,
4045,4046,4051,4055,4057,4062,4073,4120,4121,4123,4125,4132,4135,4138,4141,
4152,4153,4154,4155,4156,4157,4158,4159,4161,4162,4163,4168,4195,4198,4199,
4200,4201,4216,4223,4224,4226,4229,4231,4239,4245,4247,4274,4275,4278,4288,
4292,4293,4298,4307,4308,4309,4311,4318,4339,4349,4350,4351,4366,4380,4382,
4385,4394,4396,4399,4402,4423,4430,4439,4443,4447,4453,4471,4478,4479,4494,
4499,4503,4504,4505,4517,4523,4527,4537],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,
16,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,38,39,40,41,42,44,
45,46,47,50,51,52,53,54,55,56,57,58,59,60,62,63,64,65,66,67,68,69,70,71,72,73,
74,75,76,77,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100,
101,103,104,105,106,107,108,109,110,111,112,113,114,115,117,118,120,121,122,
123,124,125,126,130,132,133,134,136,137,139,140,141,143,144,145,146,147,150,
153,155,156,159,160,162,163,165,166,167,168,172,173,174,177,178,179,180,182,
183,184,185,186,187,188,189,190,195,196,197,198,199,200,201,204,206,208,209,
215,216,218,219,221,223,227,228,229,230,231,232,233,234,235,236,237,239,240,
241,242,243,244,245,246,247,248,249,252,254,256,257,258,260,261,262,263,264,
265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,
284,285,286,287,288,289,290,293,294,295,297,300,304,306,307,308,309,310,311,
312,313,314,315,317,318,319,320,321,322,323,324,325,328,329,331,332,334,336,
337,338,339,340,341,342,345,346,347,350,351,353,354,355,359,360,364,365,366,
367,369,370,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,
389,393,394,395,396,397,398,399,400,401,402,405,409,410,414,415,416,418,419,
420,423,428,429,433,434,436,438,445,446,447,448,449,450,452,453,454,455,456,
457,459,460,461,462,463,464,465,466,468,470,471,474,479,480,481,482,483,484,
485,486,487,488,489,497,498,500,501,502,504,505,507,508,509,510,511,512,514,
515,516,517,521,522,526,527,528,536,547,548,549,550,551,552,553,554,555,556,
557,559,560,561,562,563,569,574,575,576,581,582,586,590,591,592,593,595,597,
602,603,604,607,609,613,617,619,623,627,629,630,631,632,650,651,656,658,660,
661,665,667,668,674,675,676,680,682,683,684,688,689,690,691,694,695,696,697,
698,699,700,701,702,703,704,705,706,713,714,719,720,725,726,727,728,729,730,
731,732,734,737,740,741,742,743,747,749,751,755,756,757,758,759,760,761,762,
763,764,765,766,767,769,772,773,774,779,780,784,785,786,787,788,790,797,799,
800,801,802,803,804,805,806,809,810,811,812,817,818,819,820,826,827,830,834,
836,838,843,848,849,852,853,854,855,856,857,865,866,867,868,869,870,871,876,
877,878,879,880,881,882,883,884,891,892,893,894,895,896,897,898,899,900,901,
904,906,908,909,910,911,915,918,919,924,927,928,929,930,939,942,943,945,946,
947,949,950,954,955,958,961,971,984,986,987,994,997,998,1007,1011,1017,1021,
1022,1038,1039,1040,1041,1047,1048,1049,1050,1051,1053,1054,1057,1058,1060,
1062,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,
1083,1085,1086,1087,1088,1089,1090,1092,1098,1100,1101,1102,1106,1107,1108,
1109,1110,1111,1112,1113,1115,1116,1117,1118,1125,1126,1134,1135,1139,1140,
1144,1156,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1181,1202,1203,
1215,1216,1225,1227,1243,1245,1254,1256,1290,1291,1292,1294,1295,1297,1301,
1302,1303,1304,1305,1306,1307,1308,1317,1318,1319,1320,1321,1322,1323,1343,
1344,1345,1347,1348,1349,1351,1352,1356,1357,1361,1364,1366,1371,1390,1396,
1397,1398,1399,1404,1405,1406,1407,1409,1413,1414,1417,1421,1428,1431,1432,
1433,1438,1439,1444,1450,1451,1452,1453,1456,1457,1458,1459,1460,1461,1464,
1465,1467,1468,1469,1480,1481,1484,1486,1492,1494,1500,1512,1513,1514,1515,
1517,1518,1526,1527,1528,1529,1530,1531,1535,1536,1537,1538,1539,1540,1541,
1542,1545,1546,1547,1548,1549,1550,1552,1554,1560,1561,1562,1564,1566,1567,
1568,1569,1570,1571,1577,1581,1582,1584,1586,1588,1589,1590,1591,1592,1593,
1594,1595,1602,1606,1607,1608,1609,1612,1613,1614,1617,1618,1626,1627,1628,
1629,1630,1631,1632,1633,1639,1640,1641,1642,1644,1645,1646,1648,1653,1654,
1655,1658,1659,1665,1666,1668,1669,1672,1674,1678,1680,1682,1684,1685,1691,
1694,1697,1698,1699,1702,1703,1704,1708,1709,1721,1726,1752,1753,1778,1781,
1782,1790,1810,1811,1812,1818,1819,1820,1821,1824,1826,1827,1828,1830,1840,
1841,1842,1843,1846,1848,1849,1851,1852,1853,1854,1855,1856,1857,1858,1859,
1860,1861,1862,1863,1864,1873,1874,1875,1876,1877,1878,1879,1880,1881,1882,
1883,1884,1885,1886,1887,1888,1889,1894,1900,1902,1903,1904,1910,1911,1912,
1913,1914,1915,1916,1917,1934,1935,1936,1937,1938,1939,1947,1948,1952,1953,
1954,1955,1970,1972,2009,2011,2077,2078,2079,2080,2081,2086,2087,2089,2093,
2094,2097,2099,2103,2109,2128,2129,2131,2132,2133,2134,2135,2136,2139,2140,
2142,2143,2144,2145,2146,2147,2149,2166,2167,2168,2169,2170,2171,2172,2173,
2174,2175,2177,2179,2180,2181,2182,2183,2185,2187,2196,2197,2202,2203,2208,
2213,2247,2248,2260,2261,2262,2263,2270,2272,2274,2283,2286,2294,2295,2296,
2304,2305,2311,2312,2322,2323,2324,2325,2326,2327,2328,2329,2330,2331,2332,
2333,2345,2346,2347,2348,2352,2353,2354,2355,2358,2360,2361,2362,2363,2364,
2365,2369,2370,2373,2374,2376,2377,2378,2379,2380,2381,2382,2383,2384,2386,
2387,2394,2395,2396,2407,2409,2410,2412,2418,2420,2421,2422,2428,2429,2430,
2432,2433,2435,2436,2438,2439,2444,2445,2446,2447,2452,2453,2460,2461,2462,
2465,2527,2532,2535,2536,2537,2567,2568,2569,2570,2580,2581,2582,2588,2589,
2596,2599,2600,2601,2602,2603,2604,2609,2610,2611,2612,2618,2619,2623,2624,
2625,2640,2641,2647,2648,2650,2651,2652,2653,2654,2655,2656,2657,2658,2659,
2660,2661,2670,2671,2687,2688,2692,2693,2716,2717,2743,2744,2746,2747,2748,
2758,2762,2770,2775,2782,2783,2784,2785,2787,2788,2792,2793,2794,2799,2800,
2811,2812,2832,2833,2838,2839,2841,2842,2843,2844,2845,2848,2850,2852,2873,
2875,2877,2879,2880,2882,2883,2886,2887,2888,2890,2891,2892,2893,2894,2895,
2897,2902,2903,2922,2923,2929,2932,2962,2965,2966,2967,2968,2969,2970,2977,
2979,2980,2984,2985,2986,2992,2993,2994,3000,3001,3002,3003,3024,3025,3026,
3027,3047,3048,3049,3050,3096,3097,3098,3099,3100,3101,3102,3103,3105,3106,
3108,3115,3116,3158,3159,3160,3161,3162,3163,3164,3165,3166,3167,3170,3171,
3193,3195,3196,3197,3198,3199,3200,3201,3204,3208,3210,3211,3212,3214,3216,
3217,3218,3229,3230,3236,3278,3280,3290,3291,3302,3311,3312,3314,3315,3317,
3319,3328,3329,3336,3337,3346,3347,3348,3349,3371,3374,3375,3377,3378,3381,
3382,3383,3387,3388,3404,3409,3411,3412,3417,3420,3423,3424,3434,3436,3439,
3442,3447,3449,3470,3471,3490,3491,3494,3495,3496,3498,3499,3500,3505,3506,
3507,3508,3509,3510,3511,3512,3513,3518,3519,3520,3522,3524,3525,3534,3535,
3537,3538,3539,3540,3581,3584,3585,3608,3609,3610,3611,3612,3613,3615,3616,
3621,3622,3623,3624,3625,3626,3634,3635,3636,3638,3639,3646,3647,3665,3666,
3668,3669,3670,3671,3672,3673,3674,3675,3676,3679,3681,3682,3683,3687,3692,
3694,3696,3698,3699,3720,3725,3726,3764,3765,3781,3782,3783,3784,3786,3787,
3788,3789,3792,3793,3798,3799,3850,3851,3878,3879,3883,3884,3885,3886,3887,
3888,3895,3896,3897,3898,3900,3901,3904,3906,3907,3908,3909,3912,3914,3930,
3931,3953,3955,3956,3959,3960,3961,3962,3963,3967,3968,3969,3970,3973,3974,
3981,3982,3983,3985,3987,3988,3989,3990,3991,3992,3993,3994,4004,4005,4006,
4007,4008,4009,4011,4012,4018,4035,4036,4072,4073,4079,4125,4127,4130,4131,
4132,4133,4137,4138,4139,4140,4141,4142,4159,4160,4175,4178,4179,4181,4182,
4184,4185,4198,4199,4200,4201,4216,4221,4222,4223,4224,4226,4229,4236,4250,
4251,4252,4253,4278,4280,4293,4295,4303,4304,4317,4339,4345,4346,4347,4353,
4354,4355,4359,4360,4361,4363,4380,4381,4382,4383,4385,4386,4419,4420,4421,
4425,4426,4443,4444,4457,4458,4469,4484,4485,4520,4529,4530,4531,4538],[1,2,4,
5,6,7,8,9,10,11,12,13,22,24,26,28,29,31,32,34,40,41,42,44,46,48,49,50,51,57,73
,74,78,82,96,100,101,102,118,119,120,121,122,123,124,125,126,127,128,129,130,
132,136,139,140,141,143,144,145,146,148,153,155,156,157,159,160,162,168,172,
173,174,199,206,207,208,212,215,216,218,236,237,238,257,258,259,316,366,367,
371,380,381,383,384,385,386,387,388,389,393,399,400,401,402,405,409,411,414,
415,420,428,429,439,440,442,445,446,447,448,450,451,454,474,479,500,501,503,
507,508,513,520,521,522,524,528,536,565,566,569,573,574,576,577,586,597,611,
618,619,622,629,630,631,632,633,634,635,636,637,638,639,640,641,642,650,651,
652,663,671,687,688,716,717,848,850,857,865,866,867,868,869,870,871,873,876,
877,883,911,915,930,942,945,946,955,961,971,986,987,1027,1029,1034,1038,1039,
1045,1058,1059,1067,1069,1070,1084,1115,1156,1217,1225,1226,1231,1232,1233,
1271,1294,1295,1297,1298,1303,1304,1310,1312,1313,1317,1318,1319,1320,1321,
1325,1327,1328,1329,1335,1343,1344,1351,1356,1358,1360,1361,1363,1378,1379,
1383,1388,1512,1513,1535,1556,1562,1564,1566,1569,1570,1571,1577,1579,1580,
1584,1586,1594,1602,1642,1644,1647,1658,1665,1669,1672,1678,1689,1699,1708,
1721,1790,1791,1792,1793,1794,1795,1796,1810,1817,1818,1832,1833,1845,1847,
1851,1907,1922,1925,1957,1958,2086,2087,2097,2099,2100,2103,2109,2136,2139,
2143,2166,2167,2179,2185,2189,2195,2225,2226,2236,2294,2300,2301,2307,2311,
2312,2350,2387,2394,2397,2398,2465,2533,2535,2537,2544,2546,2547,2548,2549,
2550,2553,2567,2568,2569,2570,2573,2588,2591,2595,2616,2751,2752,2753,2758,
2783,2784,2811,2812,2827,2841,2844,2845,2873,2880,2883,2895,2939,2941,2965,
2976,2978,3011,3012,3023,3053,3082,3152,3155,3163,3165,3171,3193,3199,3200,
3214,3216,3221,3231,3308,3378,3381,3404,3474,3477,3479,3480,3486,3490,3491,
3493,3546,3580,3605,3644,3646,3665,3674,3677,3685,3705,3713,3716,3757,3776,
3866,3878,3879,3886,3887,3978,3983,4025,4039,4040,4041,4043,4062,4117,4125,
4135,4141,4168,4236,4274,4298,4306,4309,4347,4366,4434,4447,4494,4524,4539],[1
,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,
32,33,34,35,37,40,41,42,43,44,45,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,
63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,
90,91,92,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112
,113,114,115,118,119,120,121,128,130,131,132,135,136,139,140,141,143,144,153,
154,155,156,157,158,160,161,162,165,166,168,169,170,171,172,173,174,175,176,
179,180,181,182,183,184,185,186,187,188,189,190,191,193,199,201,205,206,212,
213,214,215,218,220,221,222,223,224,225,226,228,229,230,231,232,233,234,235,
236,237,238,242,243,244,245,247,250,251,254,255,256,257,258,259,261,262,263,
264,265,266,268,269,270,271,272,273,274,275,278,279,281,283,284,285,286,287,
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,
328,329,330,331,333,334,335,336,337,338,340,341,342,343,344,345,366,367,368,
369,371,372,380,381,382,383,384,385,386,390,391,392,405,406,407,408,411,412,
413,414,415,416,417,420,421,422,424,425,426,427,428,429,430,431,432,439,445,
446,447,448,449,450,451,452,453,454,457,458,459,460,474,475,476,477,479,482,
483,484,491,494,500,501,502,503,504,505,506,507,509,510,522,523,524,525,526,
528,529,530,531,532,533,534,535,536,537,538,539,541,543,544,545,546,549,551,
552,553,554,555,557,558,559,560,565,569,570,571,572,578,583,584,585,586,589,
597,598,599,600,605,613,616,620,621,629,634,638,643,646,647,650,652,663,666,
667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,
686,687,688,691,692,693,694,695,696,700,701,707,708,709,710,711,712,713,714,
715,716,717,719,720,721,723,724,725,726,728,729,733,735,736,737,742,744,745,
746,747,748,749,750,751,752,753,754,756,757,758,759,760,761,762,767,768,784,
788,789,791,792,793,794,796,797,798,829,830,831,832,833,834,848,849,850,851,
857,865,876,877,878,879,880,881,883,886,887,888,894,895,905,911,912,913,914,
917,918,919,920,921,922,933,934,938,939,940,941,942,943,944,945,957,964,965,
969,970,971,972,973,974,975,977,978,979,980,981,986,987,988,989,990,991,992,
993,994,995,996,997,1027,1028,1033,1039,1040,1042,1043,1044,1045,1047,1049,
1051,1053,1054,1055,1058,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,
1078,1079,1080,1083,1084,1085,1086,1089,1090,1091,1092,1093,1094,1095,1098,
1099,1100,1101,1102,1104,1105,1115,1117,1123,1126,1127,1128,1129,1130,1131,
1132,1133,1134,1137,1145,1146,1147,1148,1149,1150,1151,1156,1170,1172,1173,
1174,1175,1176,1178,1183,1198,1199,1201,1202,1206,1207,1208,1212,1219,1220,
1221,1223,1237,1238,1239,1240,1248,1249,1250,1253,1282,1293,1294,1295,1296,
1300,1309,1310,1311,1324,1325,1326,1335,1337,1343,1344,1351,1353,1356,1360,
1378,1379,1387,1388,1390,1391,1392,1393,1395,1396,1397,1398,1399,1400,1401,
1402,1403,1406,1408,1409,1410,1411,1415,1416,1417,1418,1419,1420,1422,1423,
1424,1425,1426,1427,1428,1429,1430,1432,1434,1480,1482,1483,1484,1485,1487,
1489,1512,1513,1515,1516,1535,1536,1537,1538,1540,1551,1552,1553,1556,1557,
1558,1559,1562,1563,1564,1565,1584,1585,1586,1587,1606,1607,1610,1611,1620,
1626,1627,1628,1630,1632,1633,1636,1637,1638,1642,1643,1668,1669,1670,1671,
1673,1677,1716,1717,1718,1719,1720,1721,1722,1723,1724,1727,1752,1755,1756,
1757,1758,1759,1760,1761,1791,1797,1805,1806,1817,1818,1819,1824,1832,1839,
1841,1842,1844,1845,1846,1851,1855,1856,1857,1865,1871,1872,1873,1874,1877,
1878,1879,1880,1881,1887,1888,1889,1891,1892,1893,1894,1895,1896,1897,1899,
1902,1920,1930,1932,1943,1944,1970,1971,1995,1996,1997,1998,1999,2000,2001,
2005,2021,2085,2086,2087,2088,2090,2091,2092,2095,2097,2098,2111,2112,2120,
2121,2122,2123,2154,2156,2161,2162,2164,2166,2167,2168,2169,2178,2179,2180,
2185,2186,2192,2195,2219,2220,2240,2241,2242,2246,2248,2249,2250,2251,2252,
2253,2254,2294,2304,2306,2307,2308,2311,2312,2313,2314,2315,2316,2317,2318,
2334,2336,2354,2355,2356,2367,2368,2377,2380,2381,2384,2388,2389,2390,2393,
2402,2404,2407,2408,2413,2415,2417,2419,2471,2474,2475,2485,2486,2487,2489,
2533,2534,2538,2547,2548,2549,2551,2567,2568,2591,2592,2594,2595,2596,2597,
2598,2599,2600,2607,2610,2612,2613,2614,2617,2618,2622,2623,2645,2664,2688,
2689,2690,2691,2715,2716,2751,2758,2759,2760,2761,2763,2765,2766,2767,2768,
2769,2777,2778,2820,2821,2830,2857,2872,2873,2874,2875,2876,2878,2880,2881,
2883,2884,2885,2887,2888,2889,2890,2891,2895,2896,2899,2904,2905,2917,2951,
2965,2966,2976,2977,2983,2984,2988,2990,3007,3009,3014,3016,3024,3031,3032,
3033,3036,3041,3042,3043,3044,3127,3152,3169,3176,3177,3186,3187,3191,3193,
3199,3200,3202,3203,3220,3221,3244,3245,3248,3252,3258,3260,3261,3276,3277,
3278,3279,3306,3307,3310,3358,3359,3360,3361,3370,3402,3403,3404,3405,3406,
3407,3410,3417,3419,3421,3422,3424,3425,3437,3438,3444,3445,3477,3493,3494,
3495,3496,3497,3502,3522,3523,3526,3527,3533,3534,3605,3606,3614,3628,3655,
3656,3661,3665,3666,3674,3681,3685,3686,3707,3708,3709,3710,3732,3733,3763,
3769,3811,3813,3815,3826,3833,3834,3835,3837,3869,3878,3891,3902,3903,3904,
3905,3944,3964,3965,3978,3981,3983,3984,3990,3991,3997,4001,4002,4039,4086,
4119,4125,4126,4129,4152,4168,4174,4195,4196,4198,4202,4203,4235,4281,4284,
4285,4309,4310,4311,4318,4321,4340,4379,4396,4400,4401,4447,4449,4479,4503,
4524,4534,4540],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,19,21,22,23,24,25,26,
28,29,30,31,32,33,34,35,37,40,41,42,43,44,45,48,49,50,51,52,54,55,57,62,63,64,
65,66,67,68,69,70,73,74,75,76,77,78,79,80,81,82,85,86,89,90,91,96,99,100,101,
102,103,104,105,106,107,108,109,110,111,112,113,114,117,118,119,120,121,128,
130,131,132,135,136,139,140,141,143,144,153,155,158,160,162,165,168,169,170,
171,172,173,174,175,176,179,180,184,185,186,187,189,191,199,200,201,202,203,
204,205,206,207,208,209,210,212,213,214,215,218,220,228,229,232,233,234,236,
237,238,240,242,243,244,245,247,249,251,252,254,255,257,258,259,264,265,266,
273,274,281,283,284,285,286,287,290,300,301,302,303,304,305,316,326,327,328,
329,330,331,332,333,334,335,336,337,338,339,340,343,344,346,347,348,349,350,
351,353,354,355,366,367,368,369,371,372,380,381,382,383,384,385,386,390,391,
392,405,406,407,408,411,412,413,414,415,416,417,420,422,424,425,426,427,428,
429,430,431,435,436,437,438,439,445,446,447,448,449,450,451,452,453,454,457,
458,459,460,474,475,476,477,479,482,483,484,500,501,502,503,504,505,506,507,
509,510,522,523,528,529,531,532,533,536,537,538,539,541,549,557,565,569,570,
571,572,583,584,585,586,587,588,589,590,591,592,593,595,596,597,598,599,600,
612,613,615,616,617,618,619,620,621,623,629,634,638,646,648,649,650,652,663,
667,671,684,685,686,687,688,691,692,693,694,695,696,700,701,716,717,719,720,
721,723,724,727,730,734,735,737,738,739,740,741,756,767,768,776,777,779,780,
784,787,788,790,791,792,794,796,809,810,811,812,824,825,829,836,840,846,848,
849,850,851,852,857,865,876,877,878,879,880,881,883,886,887,888,917,918,922,
933,934,938,939,945,951,952,953,954,955,956,958,959,960,961,962,964,969,971,
977,978,979,980,981,986,987,988,989,990,991,992,995,996,997,999,1000,1002,1003
,1009,1010,1011,1012,1027,1028,1033,1039,1047,1049,1051,1055,1058,1069,1070,
1071,1072,1073,1074,1075,1076,1078,1080,1084,1090,1091,1092,1093,1094,1095,
1098,1115,1116,1117,1118,1119,1120,1123,1130,1137,1138,1139,1140,1141,1142,
1143,1144,1145,1146,1147,1148,1149,1150,1151,1156,1183,1184,1187,1188,1191,
1192,1193,1194,1195,1202,1212,1223,1229,1232,1234,1235,1236,1237,1238,1239,
1240,1241,1242,1243,1245,1253,1258,1260,1261,1264,1282,1293,1294,1295,1296,
1300,1309,1310,1311,1324,1325,1326,1335,1340,1343,1344,1351,1353,1356,1363,
1373,1378,1381,1388,1390,1391,1392,1393,1395,1408,1419,1427,1432,1450,1453,
1469,1472,1474,1475,1476,1478,1481,1487,1489,1491,1492,1495,1502,1512,1513,
1515,1516,1535,1536,1537,1538,1556,1559,1562,1563,1564,1565,1584,1585,1586,
1587,1607,1608,1610,1613,1614,1615,1616,1620,1628,1630,1642,1643,1680,1681,
1696,1699,1700,1701,1702,1703,1704,1705,1706,1707,1719,1721,1722,1723,1724,
1737,1739,1747,1750,1755,1756,1757,1758,1760,1763,1764,1782,1783,1786,1791,
1803,1806,1807,1817,1818,1819,1824,1832,1841,1845,1846,1851,1855,1856,1857,
1877,1887,1899,1902,1908,1910,1911,1912,1913,1914,1915,1916,1917,1918,1919,
1932,1933,1962,1963,1970,1971,1972,2005,2012,2013,2024,2025,2026,2027,2028,
2029,2051,2052,2075,2086,2087,2090,2091,2092,2097,2098,2101,2118,2119,2120,
2123,2124,2148,2153,2154,2161,2164,2166,2167,2168,2169,2178,2179,2180,2185,
2186,2192,2220,2222,2225,2243,2246,2265,2266,2272,2277,2279,2294,2311,2312,
2313,2314,2315,2316,2317,2318,2358,2359,2362,2364,2367,2384,2390,2393,2398,
2399,2400,2401,2404,2407,2413,2415,2424,2425,2426,2427,2428,2435,2436,2437,
2440,2475,2489,2502,2505,2507,2510,2511,2533,2534,2538,2547,2548,2549,2562,
2567,2568,2591,2592,2595,2596,2597,2598,2614,2617,2623,2636,2637,2643,2645,
2670,2671,2677,2688,2715,2730,2751,2758,2759,2760,2761,2765,2767,2795,2796,
2806,2807,2808,2810,2820,2868,2873,2876,2878,2880,2881,2882,2883,2884,2885,
2888,2890,2895,2896,2901,2902,2903,2905,2911,2915,2930,2934,2953,2965,2966,
2976,2977,2984,3029,3030,3036,3044,3056,3057,3074,3075,3083,3084,3085,3086,
3091,3092,3105,3113,3147,3152,3177,3179,3180,3186,3187,3191,3193,3199,3200,
3202,3203,3220,3221,3260,3264,3267,3279,3287,3323,3324,3331,3355,3357,3361,
3365,3370,3402,3404,3405,3406,3407,3414,3415,3419,3437,3438,3444,3447,3448,
3449,3454,3457,3477,3493,3496,3497,3518,3522,3533,3536,3576,3577,3605,3606,
3614,3645,3662,3663,3665,3666,3674,3681,3700,3701,3705,3706,3707,3709,3742,
3803,3809,3815,3816,3824,3830,3837,3838,3841,3853,3869,3878,3903,3910,3912,
3950,3954,3964,3978,3983,3984,3991,3994,3997,4018,4031,4032,4039,4098,4125,
4126,4129,4155,4168,4188,4195,4202,4205,4211,4229,4235,4282,4285,4286,4309,
4310,4311,4329,4390,4398,4400,4402,4447,4451,4479,4505,4524,4534,4541],[1,2,3,
4,5,6,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34
,35,37,38,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,62,63,64,65,66,67
,68,69,70,71,73,74,75,76,77,78,79,80,81,82,85,86,87,88,89,90,91,92,93,96,99,
100,101,102,103,104,105,106,107,108,109,110,113,114,116,118,119,120,121,128,
130,131,132,135,136,139,140,141,143,144,153,155,158,159,160,161,162,163,164,
165,168,169,170,171,172,173,174,175,176,177,178,179,180,184,185,186,187,189,
190,191,192,194,195,197,199,201,205,206,212,213,214,215,218,219,220,221,227,
228,229,230,231,232,233,234,236,237,238,239,240,241,242,243,244,245,246,247,
248,249,254,255,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,
272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,
300,301,302,303,304,305,316,326,327,328,329,330,331,332,336,337,338,339,340,
343,344,346,347,350,351,352,356,357,358,361,362,363,366,367,368,369,371,372,
378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,403,405,406,407,
408,409,411,412,413,414,415,416,417,420,422,423,424,425,426,427,428,429,430,
431,433,436,438,439,445,446,447,448,449,450,451,452,453,454,457,458,459,460,
464,474,475,476,477,478,479,482,483,484,485,500,501,502,503,504,505,506,507,
508,509,510,521,522,523,525,527,528,529,530,531,532,533,534,535,536,537,538,
539,540,541,547,548,549,550,556,557,559,560,561,562,564,565,569,570,571,572,
576,583,584,585,586,593,597,598,599,600,607,613,615,619,621,629,634,638,644,
645,646,650,652,656,660,663,665,667,668,671,684,685,686,687,688,689,690,691,
692,693,694,695,696,697,698,699,700,701,702,703,704,716,717,718,719,720,721,
722,723,724,734,737,740,741,742,743,755,756,757,758,759,760,761,762,763,764,
765,766,767,768,769,772,773,774,778,783,784,785,786,787,788,796,799,800,801,
802,803,804,805,806,809,810,811,812,813,814,815,816,821,828,829,835,837,844,
848,849,850,851,857,865,876,877,878,879,880,881,882,883,884,885,886,887,888,
889,890,891,892,893,902,903,906,907,915,916,917,918,922,923,924,925,926,927,
929,930,931,932,933,934,935,936,937,938,939,945,946,947,948,964,968,969,971,
977,978,979,980,981,982,983,984,986,987,988,989,990,991,992,993,994,997,1000,
1003,1006,1007,1011,1012,1016,1017,1019,1020,1021,1022,1027,1028,1033,1039,
1041,1046,1047,1048,1049,1050,1051,1052,1055,1058,1066,1068,1069,1070,1071,
1072,1073,1074,1075,1076,1077,1078,1080,1081,1082,1083,1084,1089,1090,1091,
1092,1093,1094,1095,1096,1097,1098,1103,1111,1115,1117,1122,1123,1124,1125,
1126,1130,1131,1132,1133,1135,1138,1139,1145,1146,1147,1148,1149,1150,1151,
1152,1153,1154,1155,1156,1167,1168,1169,1184,1202,1203,1209,1210,1211,1212,
1213,1214,1222,1223,1224,1225,1240,1241,1242,1243,1251,1252,1253,1254,1275,
1282,1293,1294,1295,1296,1300,1305,1309,1310,1311,1316,1317,1318,1324,1325,
1326,1330,1335,1336,1343,1344,1351,1353,1356,1361,1366,1370,1374,1376,1378,
1388,1389,1390,1391,1392,1393,1394,1395,1408,1413,1414,1417,1427,1431,1432,
1433,1435,1436,1437,1446,1447,1448,1449,1456,1457,1458,1459,1460,1461,1462,
1463,1467,1468,1471,1487,1488,1489,1492,1493,1503,1512,1513,1515,1516,1518,
1535,1536,1537,1538,1539,1543,1544,1554,1555,1556,1559,1562,1563,1564,1565,
1571,1584,1585,1586,1587,1593,1607,1609,1610,1617,1618,1619,1620,1621,1622,
1623,1624,1625,1628,1629,1630,1631,1634,1635,1639,1642,1643,1644,1672,1674,
1675,1676,1695,1715,1719,1721,1722,1723,1724,1725,1726,1732,1735,1739,1742,
1743,1752,1753,1754,1755,1759,1760,1761,1775,1776,1777,1778,1781,1782,1783,
1784,1791,1798,1804,1806,1817,1818,1819,1824,1832,1840,1841,1843,1845,1846,
1851,1852,1855,1856,1857,1858,1870,1872,1874,1875,1876,1877,1882,1883,1884,
1885,1886,1887,1888,1889,1890,1898,1899,1902,1910,1913,1914,1921,1931,1933,
1934,1939,1945,1946,1948,1955,1970,2002,2003,2004,2005,2006,2007,2008,2009,
2070,2086,2087,2090,2091,2092,2097,2098,2110,2116,2117,2120,2123,2125,2127,
2128,2129,2130,2136,2137,2138,2139,2140,2141,2147,2154,2155,2157,2158,2161,
2164,2166,2167,2168,2169,2178,2179,2180,2185,2186,2192,2197,2202,2208,2211,
2216,2220,2226,2245,2246,2256,2257,2258,2259,2267,2268,2274,2282,2285,2294,
2305,2309,2310,2311,2312,2313,2314,2315,2316,2317,2318,2319,2320,2321,2330,
2331,2332,2333,2352,2353,2357,2367,2376,2382,2383,2384,2385,2387,2390,2391,
2392,2393,2394,2403,2404,2405,2406,2407,2409,2413,2414,2415,2416,2418,2420,
2441,2458,2459,2473,2474,2488,2489,2491,2506,2507,2524,2525,2526,2527,2533,
2534,2538,2540,2542,2547,2548,2549,2552,2567,2568,2591,2592,2595,2596,2597,
2598,2609,2610,2611,2617,2623,2629,2631,2640,2645,2647,2650,2659,2660,2661,
2665,2670,2687,2688,2715,2751,2758,2759,2760,2761,2765,2767,2787,2788,2789,
2790,2791,2809,2816,2817,2820,2822,2823,2824,2832,2833,2834,2835,2840,2841,
2850,2851,2867,2873,2876,2877,2878,2879,2880,2881,2883,2884,2885,2886,2887,
2888,2889,2890,2895,2896,2902,2905,2908,2912,2921,2922,2929,2935,2963,2965,
2966,2976,2977,2984,2989,2991,2992,3008,3010,3015,3017,3025,3034,3035,3036,
3037,3038,3039,3040,3044,3045,3046,3047,3048,3111,3144,3152,3175,3177,3178,
3182,3183,3185,3186,3187,3191,3193,3199,3200,3202,3203,3208,3210,3214,3216,
3220,3221,3253,3254,3259,3260,3271,3279,3290,3321,3322,3344,3345,3361,3362,
3363,3370,3384,3385,3386,3387,3389,3401,3402,3404,3405,3406,3407,3408,3411,
3415,3417,3418,3419,3420,3421,3422,3423,3433,3434,3437,3439,3440,3444,3447,
3448,3450,3455,3469,3470,3477,3493,3496,3497,3505,3510,3517,3522,3528,3529,
3533,3537,3605,3606,3614,3629,3631,3643,3657,3664,3665,3666,3674,3681,3687,
3690,3691,3692,3702,3703,3707,3709,3712,3713,3739,3807,3808,3812,3813,3819,
3821,3836,3837,3841,3847,3848,3849,3850,3854,3869,3878,3894,3899,3903,3907,
3913,3951,3964,3966,3971,3972,3978,3982,3983,3984,3989,3991,3997,4004,4008,
4020,4021,4039,4097,4125,4126,4129,4132,4141,4158,4168,4192,4195,4199,4202,
4206,4212,4216,4220,4235,4283,4285,4287,4293,4294,4309,4310,4311,4331,4392,
4397,4399,4400,4447,4448,4478,4479,4504,4524,4534,4535,4542],[1,2,4,5,6,7,8,9,
10,11,12,13,14,19,20,22,23,25,26,27,28,29,32,35,38,39,40,41,43,44,48,50,57,63,
65,71,73,75,76,77,81,87,89,93,103,107,108,110,118,120,121,122,123,124,125,126,
130,132,134,136,139,140,141,142,143,144,145,146,147,148,150,151,153,154,155,
156,157,158,159,160,161,162,168,171,173,174,179,180,188,189,190,194,195,199,
201,202,203,204,205,206,208,214,215,216,218,221,227,242,246,247,248,249,261,
262,263,265,267,281,286,288,289,331,339,350,351,366,369,373,374,375,376,377,
378,379,381,383,386,387,390,393,405,407,408,414,416,417,420,423,428,429,433,
436,438,439,440,441,442,443,445,446,447,449,452,457,460,462,464,467,468,470,
471,472,473,474,477,478,482,483,484,485,492,493,494,496,497,498,500,505,506,
507,522,523,524,525,528,540,541,551,556,557,559,560,561,569,570,571,572,574,
578,585,593,595,599,607,609,612,613,615,616,620,621,627,629,630,631,632,643,
644,648,650,651,652,656,658,660,661,663,695,698,703,742,764,773,801,802,810,
847,848,849,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,
868,869,870,871,873,874,881,884,903,904,906,911,913,914,915,918,919,924,925,
926,930,937,938,942,944,945,953,955,958,959,960,961,971,984,989,990,994,997,
1007,1011,1017,1021,1022,1033,1036,1037,1038,1039,1040,1041,1044,1045,1046,
1048,1058,1059,1060,1062,1063,1067,1068,1072,1077,1078,1079,1080,1083,1096,
1098,1103,1104,1117,1118,1119,1120,1124,1126,1137,1139,1142,1144,1151,1153,
1155,1168,1181,1183,1184,1186,1187,1188,1189,1193,1194,1195,1197,1200,1202,
1206,1207,1208,1210,1211,1213,1214,1219,1220,1221,1223,1241,1251,1257,1260,
1262,1290,1291,1293,1294,1296,1297,1305,1306,1307,1308,1317,1319,1339,1343,
1344,1345,1347,1348,1349,1353,1354,1356,1357,1358,1360,1361,1362,1366,1370,
1371,1373,1374,1376,1378,1379,1381,1382,1383,1384,1385,1386,1457,1511,1512,
1515,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,
1533,1534,1552,1554,1562,1563,1564,1565,1566,1569,1577,1578,1584,1592,1593,
1595,1601,1602,1606,1607,1608,1609,1629,1634,1642,1643,1654,1656,1658,1664,
1669,1673,1678,1680,1682,1684,1685,1686,1687,1690,1691,1704,1705,1722,1725,
1752,1754,1778,1783,1784,1790,1797,1798,1799,1800,1801,1802,1803,1810,1811,
1812,1824,1827,1829,1830,1831,1855,1858,1860,1863,1866,1867,1869,1873,1874,
1876,1884,1890,1891,1914,1915,1918,1920,1928,1929,1938,1939,1942,1944,1946,
1948,1950,1954,1985,1987,2004,2015,2027,2028,2030,2041,2043,2049,2080,2082,
2083,2084,2085,2097,2098,2099,2101,2103,2104,2105,2106,2107,2108,2109,2110,
2116,2118,2120,2121,2127,2128,2131,2147,2148,2149,2166,2168,2179,2180,2185,
2187,2189,2195,2196,2197,2201,2202,2203,2207,2211,2212,2215,2216,2218,2222,
2223,2224,2229,2238,2239,2294,2295,2296,2297,2298,2299,2300,2301,2304,2305,
2307,2308,2309,2315,2321,2330,2332,2345,2346,2347,2349,2350,2351,2388,2389,
2390,2393,2400,2401,2403,2405,2407,2408,2414,2418,2424,2425,2427,2428,2429,
2430,2438,2439,2446,2454,2524,2532,2535,2547,2556,2557,2565,2567,2568,2569,
2570,2573,2574,2575,2580,2581,2582,2585,2590,2656,2660,2662,2725,2749,2750,
2770,2772,2775,2776,2777,2779,2783,2795,2797,2799,2800,2801,2802,2803,2804,
2805,2809,2810,2811,2812,2813,2816,2818,2820,2821,2825,2845,2849,2850,2851,
2852,2873,2875,2877,2879,2881,2885,2887,2888,2896,2898,2902,2903,2922,2923,
2928,2929,2931,2938,2944,2945,2946,2966,2968,2970,2971,2972,2973,2974,2975,
2989,2990,2992,2993,2995,2997,2999,3000,3003,3004,3014,3016,3019,3020,3034,
3045,3058,3059,3066,3068,3070,3074,3076,3078,3079,3081,3085,3086,3087,3090,
3106,3115,3116,3157,3158,3161,3162,3170,3171,3186,3193,3195,3196,3197,3198,
3203,3205,3208,3210,3211,3212,3214,3215,3220,3221,3223,3226,3231,3232,3233,
3236,3241,3303,3304,3308,3309,3310,3317,3318,3319,3328,3329,3330,3331,3332,
3336,3337,3338,3341,3363,3364,3368,3371,3376,3405,3408,3417,3418,3434,3436,
3440,3448,3466,3469,3478,3479,3487,3488,3490,3491,3508,3510,3512,3514,3516,
3564,3567,3568,3584,3585,3586,3590,3607,3615,3617,3619,3634,3656,3657,3662,
3674,3675,3676,3677,3678,3679,3681,3685,3686,3690,3693,3700,3701,3702,3703,
3715,3722,3730,3753,3761,3762,3773,3775,3777,3779,3795,3798,3799,3800,3848,
3873,3874,3878,3879,3881,3882,3883,3884,3932,3934,3935,3939,3940,3949,3952,
3953,3957,3980,3981,3982,3984,3986,4003,4004,4008,4009,4011,4012,4015,4016,
4018,4023,4024,4042,4049,4064,4065,4079,4120,4122,4129,4130,4131,4132,4133,
4134,4135,4136,4143,4168,4169,4186,4218,4220,4226,4234,4236,4250,4251,4252,
4253,4276,4277,4278,4279,4280,4281,4286,4287,4288,4289,4290,4311,4344,4345,
4356,4357,4362,4366,4367,4368,4382,4383,4384,4389,4396,4397,4398,4404,4405,
4417,4418,4421,4432,4433,4450,4457,4458,4462,4465,4468,4471,4472,4483,4489,
4495,4496,4501,4511,4520,4521,4522,4543],[1,2,4,5,6,7,8,9,10,11,12,13,19,20,22
,23,24,26,28,29,31,32,34,35,38,39,40,41,42,44,46,48,49,50,51,57,65,71,73,74,75
,76,77,78,82,87,88,96,100,101,102,107,108,116,118,119,120,121,122,123,124,125,
126,127,128,129,130,132,136,139,140,141,143,144,145,146,148,153,155,156,157,
159,160,162,163,168,172,173,174,177,178,179,180,188,189,190,195,197,199,201,
204,206,207,208,212,214,215,216,218,219,221,236,237,238,239,240,241,257,258,
259,260,261,262,263,280,281,282,316,331,332,346,347,352,358,362,366,367,369,
371,373,374,375,376,377,378,379,380,381,383,384,385,386,387,388,389,393,399,
400,401,402,403,404,405,409,411,414,415,416,420,423,428,429,433,436,438,439,
440,442,445,446,447,448,449,450,451,452,454,457,464,470,471,474,479,482,483,
484,485,494,497,498,500,501,503,505,507,508,513,520,521,522,524,528,536,551,
556,557,559,560,561,562,565,566,569,573,574,576,577,586,593,595,597,607,608,
609,611,613,616,618,619,622,625,629,630,631,632,633,634,635,636,637,638,639,
640,641,642,645,650,651,652,656,658,660,661,663,671,687,688,689,690,716,717,
718,742,743,769,778,799,800,809,813,821,848,849,850,857,865,866,867,868,869,
870,871,873,876,877,880,881,882,883,884,891,892,893,895,902,904,906,908,909,
910,911,915,918,919,924,927,929,930,942,945,946,947,955,958,961,971,984,986,
987,994,997,1007,1011,1017,1021,1022,1027,1029,1031,1033,1034,1037,1038,1039,
1041,1045,1050,1058,1059,1067,1069,1070,1078,1080,1081,1082,1083,1084,1098,
1104,1111,1115,1125,1126,1139,1156,1167,1168,1169,1181,1183,1185,1191,1192,
1202,1203,1206,1207,1208,1217,1225,1226,1231,1232,1233,1243,1246,1254,1263,
1264,1270,1271,1275,1276,1280,1288,1294,1295,1297,1298,1299,1303,1304,1305,
1306,1307,1308,1310,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1325,
1327,1328,1329,1330,1331,1332,1333,1335,1343,1344,1351,1353,1356,1358,1360,
1361,1363,1366,1370,1371,1373,1374,1376,1378,1379,1381,1383,1388,1389,1435,
1446,1447,1456,1462,1512,1513,1515,1518,1526,1527,1528,1529,1530,1531,1535,
1539,1543,1552,1554,1556,1562,1564,1566,1569,1570,1571,1577,1579,1580,1584,
1586,1592,1593,1594,1595,1602,1607,1613,1617,1618,1626,1627,1628,1629,1639,
1642,1644,1647,1648,1654,1658,1665,1669,1672,1678,1680,1682,1684,1685,1689,
1691,1695,1699,1704,1708,1721,1726,1752,1753,1778,1781,1782,1790,1791,1792,
1793,1794,1795,1796,1804,1808,1810,1811,1812,1817,1818,1832,1833,1845,1847,
1851,1852,1874,1875,1882,1891,1907,1913,1922,1925,1934,1944,1948,1957,1958,
1973,1981,1988,1990,2009,2017,2032,2036,2044,2052,2060,2086,2087,2093,2096,
2097,2099,2100,2103,2109,2128,2129,2131,2134,2135,2136,2139,2140,2142,2143,
2147,2149,2157,2159,2160,2166,2167,2168,2179,2180,2185,2189,2195,2197,2201,
2202,2207,2208,2211,2215,2216,2218,2219,2220,2222,2223,2224,2225,2226,2230,
2236,2238,2256,2294,2300,2301,2307,2311,2312,2330,2331,2332,2333,2345,2346,
2347,2348,2350,2352,2354,2370,2373,2376,2387,2394,2397,2398,2400,2407,2408,
2409,2418,2420,2430,2433,2436,2444,2446,2447,2455,2459,2465,2527,2532,2533,
2535,2537,2539,2540,2541,2542,2543,2544,2545,2546,2547,2548,2549,2550,2553,
2567,2568,2569,2570,2573,2580,2588,2591,2595,2616,2627,2629,2631,2632,2650,
2673,2679,2681,2703,2706,2751,2752,2753,2758,2764,2770,2775,2783,2784,2787,
2788,2794,2799,2800,2811,2812,2827,2832,2833,2841,2844,2845,2850,2852,2869,
2873,2877,2880,2883,2886,2887,2888,2895,2902,2917,2922,2928,2929,2933,2934,
2935,2937,2938,2939,2941,2947,2965,2976,2978,2990,2992,3004,3011,3012,3023,
3047,3048,3053,3056,3061,3064,3070,3082,3103,3152,3155,3158,3160,3163,3165,
3166,3170,3171,3183,3184,3185,3186,3193,3199,3200,3203,3208,3210,3211,3212,
3214,3216,3221,3226,3229,3231,3232,3253,3281,3308,3311,3314,3336,3337,3347,
3349,3371,3374,3378,3381,3387,3389,3390,3391,3396,3404,3411,3417,3420,3434,
3439,3447,3470,3472,3474,3475,3476,3477,3479,3480,3486,3490,3491,3493,3505,
3517,3543,3546,3548,3571,3580,3605,3610,3613,3629,3631,3632,3634,3638,3644,
3646,3665,3674,3677,3681,3685,3687,3690,3692,3701,3703,3705,3707,3710,3713,
3715,3716,3717,3757,3776,3777,3781,3782,3850,3866,3868,3870,3873,3878,3879,
3883,3884,3886,3887,3894,3917,3970,3972,3975,3978,3983,3989,4001,4004,4008,
4015,4020,4023,4025,4027,4030,4032,4034,4039,4040,4041,4043,4055,4057,4062,
4110,4111,4117,4125,4132,4133,4135,4138,4140,4141,4168,4216,4231,4236,4247,
4270,4274,4288,4292,4293,4298,4306,4309,4311,4345,4347,4366,4394,4399,4420,
4430,4432,4434,4447,4474,4478,4494,4517,4524,4535,4539,4544],[1,2,3,4,5,6,8,9,
10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,35,37,
38,40,41,42,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,
67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,94,
95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115
,118,120,121,130,131,132,134,135,136,139,140,141,143,144,145,147,148,152,153,
155,156,157,160,162,165,166,168,169,170,171,172,173,174,175,176,179,180,181,
182,183,184,185,186,187,188,189,190,192,195,199,201,202,204,206,207,214,215,
216,217,218,220,221,222,223,224,225,226,228,229,230,231,232,233,234,235,236,
237,238,242,243,244,245,247,250,251,254,255,256,257,258,259,261,262,263,264,
265,266,268,269,270,271,272,273,274,275,278,279,281,283,284,285,286,287,290,
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,
329,330,331,333,334,335,336,337,338,340,341,342,343,344,345,366,369,372,378,
379,380,381,382,383,386,387,388,389,390,391,392,405,409,414,416,420,421,422,
423,424,425,426,427,428,429,430,431,432,433,435,436,437,438,439,440,442,445,
446,447,448,449,450,451,452,453,457,458,459,460,464,469,471,472,474,476,478,
482,483,484,485,490,492,494,495,497,500,501,502,503,504,505,507,508,509,510,
511,512,513,519,520,521,522,524,526,528,529,531,532,533,538,539,540,542,543,
544,545,546,549,551,552,553,554,555,556,557,559,560,565,566,567,568,569,573,
576,577,584,587,588,593,594,600,601,606,607,611,612,613,614,615,616,618,619,
622,624,627,629,643,650,651,652,653,654,655,656,658,659,660,661,663,664,666,
667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,
686,687,688,691,692,693,694,695,696,700,701,707,708,709,710,711,712,713,714,
715,716,717,719,720,721,723,724,725,726,728,729,733,735,736,737,742,744,745,
746,747,748,749,750,751,752,753,754,756,757,758,759,760,761,762,767,768,784,
788,789,791,792,793,794,796,797,798,829,830,831,832,833,834,847,848,849,857,
865,866,867,868,873,876,877,878,879,880,881,884,885,887,889,890,894,895,903,
906,911,918,919,923,924,930,935,939,942,943,945,946,955,958,967,968,969,970,
971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,994,997,999,1000,
1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,
1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1033,1037,1038,1039,1040,
1041,1042,1043,1045,1047,1049,1051,1053,1054,1055,1058,1059,1060,1064,1065,
1067,1069,1070,1071,1072,1073,1074,1075,1076,1078,1079,1080,1083,1084,1085,
1086,1089,1090,1091,1092,1093,1094,1097,1098,1099,1100,1101,1102,1103,1104,
1114,1115,1117,1119,1121,1122,1126,1127,1128,1129,1130,1134,1136,1139,1141,
1146,1152,1154,1157,1158,1159,1168,1179,1180,1183,1186,1188,1190,1196,1197,
1202,1204,1205,1206,1207,1208,1209,1213,1217,1225,1226,1231,1232,1233,1236,
1242,1244,1247,1252,1255,1258,1259,1261,1265,1267,1268,1269,1271,1273,1274,
1282,1290,1291,1294,1296,1300,1305,1317,1318,1335,1343,1344,1345,1349,1351,
1353,1354,1356,1357,1358,1359,1360,1361,1366,1367,1368,1369,1370,1371,1373,
1374,1375,1376,1377,1378,1379,1380,1381,1383,1387,1388,1390,1391,1392,1393,
1395,1396,1397,1398,1399,1400,1401,1402,1403,1406,1408,1409,1410,1411,1415,
1416,1417,1418,1419,1420,1422,1423,1424,1425,1426,1427,1428,1429,1430,1432,
1434,1480,1482,1483,1484,1485,1487,1489,1511,1512,1515,1516,1518,1526,1527,
1528,1532,1533,1535,1536,1537,1538,1540,1552,1562,1564,1571,1577,1579,1580,
1584,1585,1587,1588,1589,1592,1593,1602,1603,1604,1606,1607,1625,1626,1627,
1628,1629,1630,1632,1633,1642,1644,1646,1647,1654,1658,1668,1669,1685,1689,
1691,1704,1712,1714,1715,1716,1717,1718,1719,1720,1729,1731,1732,1733,1734,
1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,
1750,1751,1752,1762,1763,1764,1765,1766,1767,1768,1769,1770,1771,1772,1773,
1774,1775,1776,1777,1778,1779,1780,1797,1799,1801,1810,1811,1812,1813,1814,
1815,1816,1817,1818,1819,1824,1825,1829,1832,1833,1834,1835,1836,1837,1838,
1839,1840,1841,1842,1844,1845,1846,1847,1850,1851,1855,1856,1857,1865,1867,
1871,1873,1874,1877,1878,1879,1880,1881,1887,1888,1889,1891,1892,1893,1894,
1895,1897,1899,1901,1902,1904,1906,1907,1908,1909,1910,1922,1925,1926,1928,
1944,1948,1949,1955,1956,1957,1958,1961,1962,1965,1966,1967,1970,1971,1975,
1978,1980,1982,1984,1989,1991,1992,1993,2008,2010,2019,2020,2021,2039,2053,
2055,2056,2059,2080,2082,2083,2084,2090,2092,2097,2103,2127,2128,2130,2136,
2138,2139,2141,2147,2164,2166,2167,2168,2169,2178,2179,2180,2185,2186,2187,
2188,2189,2190,2191,2192,2193,2194,2195,2196,2197,2198,2199,2200,2201,2202,
2203,2204,2205,2206,2207,2211,2215,2216,2217,2218,2219,2220,2222,2223,2224,
2228,2238,2240,2241,2242,2246,2248,2249,2250,2251,2252,2253,2254,2294,2295,
2300,2301,2302,2304,2307,2314,2316,2319,2320,2330,2332,2335,2342,2343,2344,
2346,2350,2354,2355,2377,2380,2381,2384,2387,2394,2397,2398,2400,2403,2406,
2407,2408,2411,2413,2416,2417,2418,2421,2423,2425,2446,2466,2468,2469,2471,
2472,2476,2477,2478,2479,2482,2483,2490,2491,2492,2493,2494,2495,2496,2497,
2498,2499,2500,2501,2502,2503,2508,2509,2513,2514,2515,2517,2518,2547,2548,
2549,2550,2553,2567,2568,2569,2571,2573,2575,2576,2577,2578,2579,2580,2581,
2582,2583,2584,2586,2587,2588,2591,2592,2593,2594,2595,2596,2597,2598,2599,
2600,2605,2606,2607,2610,2612,2613,2614,2616,2617,2618,2622,2623,2626,2628,
2638,2639,2640,2642,2643,2644,2645,2666,2667,2685,2686,2688,2689,2690,2691,
2694,2696,2697,2699,2709,2715,2716,2749,2750,2759,2770,2783,2789,2791,2799,
2834,2835,2841,2843,2845,2850,2872,2873,2874,2875,2876,2877,2878,2887,2888,
2890,2891,2899,2900,2901,2902,2904,2905,2906,2907,2908,2909,2910,2911,2912,
2913,2914,2915,2917,2918,2919,2920,2921,2922,2923,2924,2925,2926,2927,2928,
2929,2938,2940,2946,2951,2964,2965,2966,2971,2972,2976,2977,2978,2982,2984,
2986,2987,2990,2992,2993,3001,3004,3005,3006,3007,3011,3012,3018,3019,3021,
3023,3024,3040,3046,3051,3053,3065,3070,3079,3082,3089,3092,3093,3107,3115,
3116,3118,3120,3121,3124,3128,3129,3132,3133,3137,3138,3139,3140,3141,3142,
3186,3187,3190,3191,3193,3199,3202,3203,3205,3208,3209,3210,3211,3214,3216,
3221,3222,3224,3225,3226,3227,3228,3231,3232,3234,3235,3236,3237,3244,3245,
3247,3248,3249,3250,3251,3252,3257,3258,3260,3261,3268,3269,3272,3276,3277,
3278,3279,3303,3308,3317,3347,3348,3371,3385,3400,3401,3402,3403,3413,3414,
3415,3416,3417,3424,3425,3426,3427,3428,3429,3430,3431,3432,3433,3434,3435,
3443,3450,3451,3452,3453,3457,3458,3459,3460,3461,3479,3480,3486,3490,3492,
3493,3494,3495,3496,3497,3501,3502,3503,3521,3522,3523,3530,3531,3533,3534,
3536,3537,3538,3541,3542,3545,3546,3555,3562,3563,3570,3575,3580,3584,3585,
3586,3587,3589,3590,3595,3602,3655,3656,3658,3659,3660,3661,3665,3666,3674,
3675,3676,3677,3680,3681,3684,3685,3690,3691,3701,3703,3704,3707,3710,3715,
3717,3721,3732,3733,3747,3752,3753,3756,3757,3759,3761,3776,3777,3780,3793,
3810,3811,3820,3821,3822,3823,3824,3825,3827,3828,3829,3832,3839,3842,3845,
3846,3856,3858,3860,3862,3872,3873,3877,3878,3882,3883,3886,3889,3890,3891,
3892,3893,3902,3903,3904,3905,3911,3915,3920,3923,3924,3929,3932,3933,3934,
3939,3978,3981,3990,3991,3995,3996,3997,3998,3999,4000,4001,4004,4007,4008,
4009,4010,4013,4014,4015,4017,4019,4023,4033,4048,4049,4050,4051,4058,4060,
4062,4067,4071,4079,4080,4081,4082,4083,4087,4088,4090,4091,4104,4107,4120,
4121,4123,4126,4130,4132,4135,4141,4144,4145,4147,4152,4153,4163,4168,4195,
4196,4197,4198,4205,4206,4207,4208,4210,4214,4215,4227,4228,4237,4239,4243,
4245,4250,4252,4253,4254,4255,4256,4257,4264,4274,4278,4288,4292,4294,4302,
4311,4318,4322,4323,4324,4327,4330,4334,4348,4350,4356,4358,4364,4366,4377,
4378,4385,4396,4403,4405,4406,4408,4411,4415,4417,4422,4432,4439,4440,4442,
4447,4457,4460,4465,4471,4477,4479,4482,4494,4503,4506,4514,4515,4522,4526,
4527,4545],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26
,28,29,30,31,32,33,34,35,37,38,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56
,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,
106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,128,130,131,
132,135,136,139,140,141,143,144,153,154,155,156,157,158,159,160,161,162,163,
164,165,166,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,
184,185,186,187,188,189,190,191,192,193,194,195,197,199,200,201,202,203,204,
205,206,207,208,209,210,212,213,214,215,218,219,220,221,222,223,224,225,226,
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,
360,361,362,363,364,365,366,367,368,369,371,372,378,379,380,381,382,383,384,
385,386,387,388,389,390,391,392,403,405,406,407,408,409,411,412,413,414,415,
416,417,420,421,422,423,424,425,426,427,428,429,430,431,432,433,435,436,437,
438,439,445,446,447,448,449,450,451,452,453,454,457,458,459,460,464,474,475,
476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,
496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,521,522,523,524,
525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,543,544,
545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,564,
565,569,570,571,572,574,575,576,577,578,579,580,581,582,583,584,585,586,587,
588,589,590,591,592,593,595,596,597,598,599,600,602,603,604,605,606,607,608,
609,610,612,613,615,616,617,618,619,620,621,623,629,634,638,643,644,645,646,
647,648,649,650,652,656,660,663,665,666,667,668,669,670,671,672,673,674,675,
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,
848,849,850,851,852,857,865,876,877,878,879,880,881,882,883,884,885,886,887,
888,889,890,891,892,893,894,895,902,903,905,906,907,911,912,913,914,915,916,
917,918,919,920,921,922,923,924,925,926,927,929,930,931,932,933,934,935,936,
937,938,939,940,941,942,943,944,945,946,947,948,951,952,953,954,955,956,957,
958,959,960,961,962,964,965,968,969,970,971,972,973,974,975,977,978,979,980,
981,982,983,984,986,987,988,989,990,991,992,993,994,995,996,997,999,1000,1002,
1003,1006,1007,1008,1009,1010,1011,1012,1016,1017,1018,1019,1020,1021,1022,
1023,1024,1027,1028,1033,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,
1049,1050,1051,1052,1053,1054,1055,1058,1066,1067,1068,1069,1070,1071,1072,
1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1089,
1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,
1105,1111,1115,1116,1117,1118,1119,1120,1122,1123,1124,1125,1126,1127,1128,
1129,1130,1131,1132,1133,1134,1135,1137,1138,1139,1140,1141,1142,1143,1144,
1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1160,1161,1162,
1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,
1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1191,1192,1193,
1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1206,1207,1208,1209,1210,
1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,
1227,1228,1229,1230,1231,1232,1234,1235,1236,1237,1238,1239,1240,1241,1242,
1243,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1256,1257,1258,1259,
1260,1261,1262,1263,1264,1275,1282,1293,1294,1295,1296,1300,1305,1309,1310,
1311,1316,1317,1318,1324,1325,1326,1330,1335,1336,1337,1338,1339,1340,1341,
1342,1343,1344,1351,1353,1356,1360,1361,1363,1366,1370,1373,1374,1376,1378,
1379,1381,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,
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,
1505,1506,1507,1508,1509,1510,1512,1513,1515,1516,1518,1535,1536,1537,1538,
1539,1540,1541,1542,1543,1544,1551,1552,1553,1554,1555,1556,1557,1558,1559,
1562,1563,1564,1565,1571,1584,1585,1586,1587,1593,1606,1607,1608,1609,1610,
1611,1613,1614,1615,1616,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,
1627,1628,1629,1630,1631,1632,1633,1634,1635,1636,1637,1638,1639,1642,1643,
1644,1648,1649,1650,1651,1652,1653,1654,1655,1656,1657,1658,1659,1660,1661,
1662,1663,1664,1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,
1677,1678,1679,1680,1681,1682,1683,1684,1685,1686,1687,1688,1690,1691,1692,
1693,1694,1695,1696,1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,
1710,1711,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,
1728,1731,1732,1734,1735,1737,1739,1740,1741,1742,1743,1746,1747,1749,1750,
1752,1753,1754,1755,1756,1757,1758,1759,1760,1761,1763,1764,1765,1775,1776,
1777,1778,1779,1780,1781,1782,1783,1784,1785,1786,1791,1797,1798,1803,1804,
1805,1806,1807,1817,1818,1819,1824,1832,1839,1840,1841,1842,1843,1844,1845,
1846,1851,1852,1853,1854,1855,1856,1857,1858,1859,1860,1861,1862,1863,1864,
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,
1895,1896,1897,1898,1899,1902,1908,1910,1911,1912,1913,1914,1915,1916,1917,
1918,1919,1920,1921,1923,1924,1925,1927,1928,1929,1930,1931,1932,1933,1934,
1935,1936,1937,1938,1939,1940,1941,1942,1943,1944,1945,1946,1947,1948,1950,
1951,1952,1953,1954,1955,1956,1960,1961,1962,1963,1964,1968,1970,1971,1972,
1974,1975,1976,1977,1978,1979,1981,1982,1983,1984,1985,1986,1987,1988,1993,
1994,1995,1996,1997,1998,1999,2000,2001,2002,2003,2004,2005,2006,2007,2008,
2009,2011,2012,2013,2014,2015,2016,2017,2018,2021,2022,2023,2024,2025,2026,
2027,2028,2029,2030,2031,2033,2034,2035,2036,2041,2042,2043,2044,2046,2047,
2049,2050,2051,2052,2070,2075,2085,2086,2087,2088,2090,2091,2092,2095,2097,
2098,2101,2110,2111,2112,2116,2117,2118,2119,2120,2121,2122,2123,2124,2125,
2127,2128,2129,2130,2136,2137,2138,2139,2140,2141,2147,2148,2153,2154,2155,
2156,2157,2158,2161,2162,2164,2165,2166,2167,2168,2169,2178,2179,2180,2185,
2186,2192,2195,2197,2202,2208,2211,2215,2216,2218,2219,2220,2222,2223,2224,
2225,2226,2240,2241,2242,2243,2244,2245,2246,2247,2248,2249,2250,2251,2252,
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,
2283,2284,2285,2286,2287,2288,2289,2290,2291,2292,2294,2304,2305,2306,2307,
2308,2309,2310,2311,2312,2313,2314,2315,2316,2317,2318,2319,2320,2321,2330,
2331,2332,2333,2334,2336,2352,2353,2354,2355,2356,2357,2358,2359,2360,2361,
2362,2363,2364,2365,2366,2367,2368,2369,2370,2371,2372,2373,2374,2375,2376,
2377,2378,2379,2380,2381,2382,2383,2384,2385,2387,2388,2389,2390,2391,2392,
2393,2394,2398,2399,2400,2401,2402,2403,2404,2405,2406,2407,2408,2409,2413,
2414,2415,2416,2417,2418,2419,2420,2424,2425,2426,2427,2428,2429,2430,2431,
2432,2433,2434,2435,2436,2437,2438,2439,2440,2441,2442,2443,2444,2445,2446,
2447,2448,2449,2450,2451,2452,2453,2454,2456,2457,2458,2459,2462,2463,2464,
2465,2471,2473,2474,2475,2477,2479,2484,2485,2486,2487,2488,2489,2490,2491,
2493,2494,2496,2497,2501,2502,2504,2505,2506,2507,2510,2511,2512,2524,2525,
2526,2527,2533,2534,2538,2540,2542,2547,2548,2549,2551,2552,2562,2563,2564,
2565,2566,2567,2568,2591,2592,2594,2595,2596,2597,2598,2599,2600,2607,2609,
2610,2611,2612,2613,2614,2617,2618,2622,2623,2629,2631,2636,2637,2638,2640,
2641,2642,2643,2645,2646,2647,2648,2649,2650,2651,2652,2653,2654,2655,2656,
2657,2658,2659,2660,2661,2662,2663,2664,2665,2667,2668,2669,2670,2671,2677,
2678,2681,2682,2683,2687,2688,2689,2690,2691,2692,2693,2702,2710,2714,2715,
2716,2718,2719,2721,2722,2724,2725,2727,2730,2741,2751,2758,2759,2760,2761,
2763,2765,2766,2767,2768,2769,2776,2777,2778,2787,2788,2789,2790,2791,2795,
2796,2797,2798,2806,2807,2808,2809,2810,2816,2817,2818,2819,2820,2821,2822,
2823,2824,2825,2826,2830,2831,2832,2833,2834,2835,2836,2837,2840,2841,2850,
2851,2853,2854,2855,2856,2857,2864,2865,2866,2867,2868,2872,2873,2874,2875,
2876,2877,2878,2879,2880,2881,2882,2883,2884,2885,2886,2887,2888,2889,2890,
2891,2895,2896,2899,2901,2902,2903,2904,2905,2908,2911,2912,2915,2917,2921,
2922,2929,2930,2933,2934,2935,2937,2938,2939,2949,2950,2951,2952,2953,2954,
2955,2956,2957,2958,2959,2960,2961,2962,2963,2965,2966,2976,2977,2983,2984,
2988,2989,2990,2991,2992,3007,3008,3009,3010,3014,3015,3016,3017,3024,3025,
3026,3027,3028,3029,3030,3031,3032,3033,3034,3035,3036,3037,3038,3039,3040,
3041,3042,3043,3044,3045,3046,3047,3048,3052,3053,3054,3055,3056,3057,3058,
3059,3060,3061,3062,3063,3064,3065,3066,3067,3068,3069,3070,3071,3072,3073,
3074,3075,3076,3077,3078,3079,3080,3081,3083,3084,3085,3086,3087,3088,3089,
3090,3091,3092,3094,3095,3096,3097,3098,3099,3100,3101,3102,3103,3104,3105,
3106,3108,3109,3110,3111,3112,3113,3127,3129,3134,3135,3136,3144,3145,3147,
3148,3152,3169,3175,3176,3177,3178,3179,3180,3182,3183,3185,3186,3187,3191,
3192,3193,3199,3200,3202,3203,3208,3210,3214,3216,3220,3221,3244,3245,3248,
3250,3252,3253,3254,3258,3259,3260,3261,3262,3264,3267,3270,3271,3275,3276,
3277,3278,3279,3283,3287,3288,3290,3291,3298,3306,3307,3310,3321,3322,3323,
3324,3325,3326,3327,3331,3332,3333,3334,3335,3341,3342,3343,3344,3345,3351,
3352,3353,3354,3355,3356,3357,3358,3359,3360,3361,3362,3363,3364,3365,3366,
3367,3368,3369,3370,3384,3385,3386,3387,3389,3399,3401,3402,3403,3404,3405,
3406,3407,3408,3409,3410,3411,3412,3414,3415,3417,3418,3419,3420,3421,3422,
3423,3424,3425,3433,3434,3435,3436,3437,3438,3439,3440,3441,3442,3444,3445,
3447,3448,3449,3450,3453,3454,3455,3457,3458,3459,3460,3469,3470,3472,3477,
3489,3493,3494,3495,3496,3497,3502,3505,3510,3517,3518,3522,3523,3526,3527,
3528,3529,3533,3534,3536,3537,3550,3551,3552,3553,3554,3555,3556,3557,3558,
3559,3560,3561,3564,3565,3566,3567,3568,3569,3571,3572,3573,3574,3576,3577,
3578,3579,3581,3583,3603,3605,3606,3614,3628,3629,3631,3641,3642,3643,3645,
3648,3649,3655,3656,3657,3661,3662,3663,3664,3665,3666,3674,3681,3685,3686,
3687,3690,3691,3692,3700,3701,3702,3703,3705,3706,3707,3708,3709,3710,3712,
3713,3732,3733,3737,3739,3740,3742,3743,3744,3746,3763,3769,3771,3772,3790,
3791,3794,3795,3796,3797,3801,3802,3803,3805,3806,3807,3808,3809,3811,3812,
3813,3815,3816,3817,3818,3819,3820,3821,3823,3824,3826,3830,3831,3833,3834,
3835,3836,3837,3838,3841,3847,3848,3849,3850,3851,3852,3853,3854,3859,3860,
3861,3869,3878,3891,3894,3899,3900,3901,3902,3903,3904,3905,3907,3910,3912,
3913,3921,3923,3927,3928,3944,3950,3951,3954,3964,3965,3966,3971,3972,3977,
3978,3979,3980,3981,3982,3983,3984,3989,3990,3991,3994,3997,4001,4002,4004,
4008,4018,4020,4021,4023,4024,4025,4026,4027,4028,4029,4030,4031,4032,4039,
4045,4074,4077,4086,4088,4089,4092,4095,4096,4097,4098,4101,4108,4119,4125,
4126,4129,4132,4141,4152,4154,4155,4156,4158,4159,4162,4168,4174,4187,4188,
4189,4190,4191,4192,4195,4196,4198,4199,4200,4201,4202,4203,4205,4206,4211,
4212,4216,4220,4224,4226,4229,4231,4232,4235,4260,4281,4282,4283,4284,4285,
4286,4287,4293,4294,4308,4309,4310,4311,4314,4318,4321,4326,4327,4329,4331,
4333,4337,4339,4340,4379,4387,4388,4389,4390,4391,4392,4396,4397,4398,4399,
4400,4401,4402,4416,4445,4447,4448,4449,4450,4451,4452,4453,4454,4478,4479,
4480,4503,4504,4505,4523,4524,4534,4535,4540,4541,4542,4546],[1,2,4,5,6,8,9,10
,11,12,13,19,20,22,23,24,26,27,28,29,31,32,34,35,40,42,44,48,49,50,51,57,65,71
,73,74,75,76,77,78,82,87,88,96,100,101,102,107,108,116,118,119,120,121,128,130
,132,134,136,139,140,141,143,144,145,147,153,155,156,163,168,172,173,174,177,
178,188,189,199,200,206,209,212,215,218,219,221,236,237,238,239,240,241,257,
258,259,260,261,262,263,280,281,282,316,331,332,346,347,352,358,362,366,367,
369,371,380,381,384,385,386,405,411,414,415,418,420,428,429,439,440,442,445,
446,447,448,449,450,451,452,454,455,456,474,479,480,481,500,501,503,505,528,
536,551,562,565,569,575,586,592,597,604,627,629,634,638,650,656,660,671,687,
688,689,690,716,717,718,742,743,769,778,799,800,809,813,821,848,849,850,857,
865,866,867,868,876,877,882,883,884,911,918,919,929,930,954,955,971,986,987,
1027,1031,1039,1040,1041,1050,1058,1060,1069,1070,1078,1079,1080,1081,1082,
1083,1084,1115,1116,1139,1140,1156,1160,1275,1290,1291,1294,1295,1310,1325,
1335,1343,1344,1345,1346,1351,1356,1361,1366,1383,1388,1389,1435,1446,1447,
1456,1462,1512,1513,1514,1535,1539,1552,1556,1562,1564,1567,1568,1577,1584,
1586,1592,1606,1607,1613,1614,1617,1618,1648,1653,1658,1659,1721,1730,1791,
1817,1818,1826,1832,1845,1851,1852,1853,1854,1873,1874,1875,1882,1912,1913,
1934,1935,1947,1948,2077,2079,2080,2086,2087,2097,2103,2166,2167,2170,2179,
2180,2185,2208,2230,2256,2294,2295,2304,2311,2312,2329,2358,2360,2361,2369,
2370,2376,2480,2533,2547,2548,2549,2567,2568,2591,2595,2629,2631,2650,2651,
2743,2745,2751,2758,2770,2782,2783,2873,2875,2880,2882,2883,2886,2895,2965,
2967,2976,2992,2993,2994,3026,3115,3125,3152,3185,3193,3194,3199,3200,3208,
3214,3253,3300,3311,3312,3317,3404,3409,3477,3479,3493,3505,3506,3517,3584,
3605,3665,3674,3675,3681,3687,3697,3764,3814,3878,3894,3930,3978,3981,3983,
3985,3989,3994,4039,4084,4125,4168,4200,4250,4278,4309,4353,4366,4380,4424,
4430,4447,4478,4524,4547],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,20,21,
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,
48,50,51,52,53,54,55,56,57,62,63,64,65,67,68,69,70,71,73,74,75,76,77,79,80,81,
82,87,88,89,90,91,92,93,100,101,103,104,105,106,107,108,109,110,118,120,121,
122,123,124,125,126,130,131,132,134,135,136,139,140,141,142,143,144,145,146,
147,148,150,151,153,154,155,156,157,158,159,160,161,162,163,164,165,166,168,
169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,
188,189,190,191,192,193,194,195,197,198,199,200,201,202,203,204,205,206,207,
208,209,210,212,213,214,215,216,218,219,221,227,228,229,230,231,232,233,234,
236,237,239,240,241,242,243,244,245,246,247,248,249,257,258,260,261,262,263,
264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,
283,284,285,286,287,288,289,290,331,332,336,337,338,339,340,346,347,350,351,
366,367,369,370,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,
387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,405,407,408,
409,410,414,415,416,417,418,420,422,423,424,425,426,427,428,429,430,431,433,
436,438,439,440,441,442,443,445,446,447,448,449,450,452,453,454,455,456,457,
458,460,461,462,463,464,467,468,470,471,472,473,474,475,476,477,478,479,480,
481,482,483,484,485,486,487,488,489,490,491,492,493,494,496,497,498,499,500,
501,502,504,505,506,507,508,510,511,512,514,515,521,522,523,524,525,526,527,
528,529,530,531,532,533,534,535,536,537,538,539,540,541,543,544,545,546,547,
548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,564,569,570,571,
572,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,
592,593,595,596,597,598,599,600,602,603,604,605,606,607,608,609,610,612,613,
615,616,617,618,619,620,621,623,627,629,630,631,632,643,644,645,646,647,648,
649,650,651,652,653,655,656,658,659,660,661,663,664,665,667,668,688,689,690,
694,695,696,697,698,699,700,701,702,703,704,734,737,740,741,742,743,755,756,
757,758,759,760,761,762,763,764,765,766,767,769,772,773,774,784,785,786,787,
788,799,800,801,802,803,804,805,806,809,810,811,812,847,848,849,852,853,854,
855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,873,874,
876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,
895,897,898,899,900,901,903,904,905,906,908,909,910,911,913,914,915,916,918,
919,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,
939,940,941,942,943,944,945,946,947,949,951,952,953,954,955,958,959,960,961,
962,968,969,971,977,978,979,980,981,982,983,984,986,987,988,989,990,991,992,
993,994,997,1000,1003,1006,1007,1011,1012,1016,1017,1019,1020,1021,1022,1027,
1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1044,
1045,1046,1047,1048,1049,1050,1051,1052,1053,1058,1059,1060,1062,1063,1066,
1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,
1082,1083,1085,1086,1087,1088,1089,1090,1095,1096,1097,1098,1103,1104,1105,
1111,1112,1113,1115,1116,1117,1118,1119,1120,1122,1123,1124,1125,1126,1127,
1128,1129,1130,1131,1132,1133,1134,1135,1137,1138,1139,1140,1142,1143,1144,
1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1160,1161,1162,
1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,
1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1191,1192,1193,
1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1206,1207,1208,1209,1210,
1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,
1227,1228,1229,1230,1231,1232,1234,1235,1236,1237,1238,1239,1240,1241,1242,
1243,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1256,1257,1258,1259,
1260,1261,1262,1263,1264,1290,1291,1293,1294,1295,1296,1297,1300,1301,1302,
1303,1304,1305,1306,1307,1308,1317,1318,1319,1320,1321,1322,1323,1336,1337,
1338,1339,1340,1341,1342,1343,1344,1345,1347,1348,1349,1351,1352,1353,1354,
1356,1357,1358,1360,1361,1362,1363,1364,1366,1367,1368,1369,1370,1371,1373,
1374,1375,1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,1413,1414,
1417,1431,1432,1433,1456,1457,1458,1459,1460,1461,1467,1468,1492,1511,1512,
1513,1514,1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,
1528,1529,1530,1531,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542,1547,
1548,1549,1550,1552,1553,1554,1555,1562,1563,1564,1565,1566,1567,1568,1569,
1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,1581,1582,1584,1585,1586,
1587,1588,1589,1590,1591,1592,1593,1594,1595,1596,1597,1598,1599,1600,1601,
1602,1603,1606,1607,1608,1609,1613,1614,1615,1617,1618,1619,1620,1621,1622,
1623,1624,1625,1626,1627,1628,1629,1630,1631,1632,1633,1634,1636,1637,1638,
1639,1640,1642,1643,1644,1645,1646,1648,1649,1650,1651,1652,1653,1654,1655,
1656,1658,1659,1660,1661,1662,1663,1664,1665,1666,1668,1669,1670,1671,1672,
1673,1674,1675,1676,1678,1679,1680,1681,1682,1683,1684,1685,1686,1687,1688,
1690,1691,1692,1693,1694,1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,
1709,1710,1711,1715,1719,1721,1722,1723,1724,1725,1726,1732,1735,1739,1742,
1743,1752,1753,1754,1755,1759,1760,1761,1775,1776,1777,1778,1781,1782,1783,
1784,1790,1797,1798,1799,1800,1801,1802,1803,1804,1805,1806,1807,1808,1809,
1810,1811,1812,1813,1814,1815,1816,1818,1824,1826,1827,1828,1829,1830,1831,
1840,1841,1842,1843,1851,1852,1853,1854,1855,1856,1857,1858,1859,1860,1861,
1862,1863,1864,1866,1867,1868,1869,1870,1871,1872,1873,1874,1875,1876,1877,
1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,1896,
1898,1902,1903,1904,1910,1911,1912,1913,1914,1915,1916,1917,1918,1919,1920,
1921,1923,1924,1925,1927,1928,1929,1930,1931,1932,1933,1934,1935,1936,1937,
1938,1939,1941,1942,1943,1944,1945,1946,1947,1948,1950,1951,1952,1953,1954,
1955,1960,1961,1962,1963,1964,1968,1970,1972,1974,1975,1976,1977,1978,1979,
1981,1982,1983,1984,1985,1986,1987,1988,1993,1994,1995,1996,1997,1998,1999,
2000,2001,2002,2003,2004,2005,2006,2007,2008,2009,2011,2012,2013,2014,2015,
2016,2017,2018,2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2033,2034,
2035,2036,2041,2042,2043,2044,2046,2047,2049,2050,2051,2052,2077,2079,2080,
2082,2083,2084,2085,2086,2087,2088,2090,2091,2092,2093,2094,2095,2097,2098,
2099,2101,2103,2104,2105,2106,2107,2108,2109,2110,2116,2117,2118,2119,2120,
2121,2122,2123,2127,2128,2129,2130,2131,2132,2133,2134,2135,2136,2137,2138,
2139,2140,2141,2142,2143,2144,2145,2147,2148,2149,2165,2166,2167,2168,2169,
2170,2173,2174,2177,2178,2179,2180,2185,2186,2187,2188,2189,2192,2193,2195,
2196,2197,2198,2201,2202,2203,2204,2207,2208,2209,2210,2211,2212,2213,2215,
2216,2217,2218,2219,2220,2221,2222,2223,2224,2225,2226,2227,2229,2230,2231,
2232,2233,2234,2235,2236,2237,2238,2239,2274,2293,2294,2295,2296,2297,2298,
2299,2300,2301,2304,2305,2307,2308,2309,2310,2311,2312,2313,2314,2315,2316,
2317,2318,2319,2320,2321,2322,2323,2324,2325,2326,2327,2328,2329,2330,2331,
2332,2333,2334,2335,2336,2337,2338,2339,2340,2341,2345,2346,2347,2348,2349,
2350,2351,2352,2353,2354,2355,2356,2357,2358,2360,2361,2362,2363,2364,2365,
2369,2370,2371,2372,2373,2374,2376,2377,2378,2379,2380,2381,2382,2383,2384,
2387,2388,2389,2390,2391,2392,2393,2394,2395,2396,2398,2399,2400,2401,2402,
2403,2404,2405,2406,2407,2408,2409,2410,2412,2413,2414,2415,2416,2417,2418,
2419,2420,2421,2422,2424,2425,2426,2427,2428,2429,2430,2431,2432,2433,2434,
2435,2436,2437,2438,2439,2442,2443,2444,2445,2446,2447,2448,2449,2450,2451,
2452,2453,2454,2462,2463,2464,2465,2473,2474,2488,2489,2491,2506,2507,2524,
2525,2526,2527,2532,2535,2536,2537,2547,2551,2552,2554,2555,2556,2557,2558,
2559,2560,2561,2562,2563,2564,2565,2566,2567,2568,2569,2570,2573,2574,2575,
2576,2577,2578,2579,2580,2581,2582,2583,2584,2585,2586,2587,2588,2589,2590,
2609,2610,2611,2612,2623,2624,2625,2640,2641,2647,2648,2650,2651,2652,2653,
2654,2655,2656,2657,2658,2659,2660,2661,2662,2663,2664,2665,2667,2668,2669,
2670,2671,2681,2682,2683,2687,2688,2692,2693,2702,2710,2714,2718,2719,2721,
2722,2724,2725,2727,2730,2743,2749,2750,2758,2759,2760,2761,2762,2763,2765,
2766,2767,2768,2769,2770,2772,2773,2774,2775,2776,2777,2778,2779,2780,2781,
2782,2783,2784,2785,2787,2788,2789,2790,2791,2793,2794,2795,2796,2797,2798,
2799,2800,2801,2802,2803,2804,2805,2806,2807,2808,2809,2810,2811,2812,2813,
2814,2815,2816,2817,2818,2819,2820,2821,2822,2823,2824,2825,2826,2832,2833,
2834,2835,2836,2837,2838,2839,2840,2841,2842,2843,2844,2845,2846,2847,2848,
2849,2850,2851,2852,2853,2854,2855,2856,2873,2875,2876,2877,2878,2879,2880,
2881,2882,2883,2884,2885,2886,2887,2888,2889,2890,2891,2895,2896,2897,2898,
2902,2903,2905,2906,2908,2909,2912,2913,2917,2918,2919,2920,2921,2922,2923,
2928,2929,2931,2932,2933,2934,2935,2936,2937,2938,2939,2942,2943,2944,2945,
2946,2947,2948,2965,2966,2967,2968,2969,2970,2971,2972,2973,2974,2975,2984,
2985,2986,2988,2989,2990,2991,2992,2993,2994,2995,2996,2997,2998,2999,3000,
3001,3002,3003,3004,3007,3008,3009,3010,3012,3013,3014,3015,3016,3017,3019,
3020,3021,3022,3024,3025,3026,3027,3029,3030,3031,3032,3033,3034,3035,3036,
3037,3038,3039,3040,3041,3042,3043,3044,3045,3046,3047,3048,3049,3050,3052,
3053,3054,3055,3056,3057,3058,3059,3060,3061,3062,3063,3064,3065,3066,3067,
3068,3069,3070,3071,3072,3073,3074,3075,3076,3077,3078,3079,3080,3081,3083,
3084,3085,3086,3087,3088,3089,3090,3091,3092,3094,3095,3096,3097,3098,3099,
3100,3101,3102,3103,3104,3105,3106,3108,3115,3116,3144,3157,3158,3159,3160,
3161,3162,3163,3165,3166,3167,3170,3171,3186,3188,3189,3192,3193,3195,3196,
3197,3198,3199,3200,3201,3202,3203,3204,3205,3208,3209,3210,3211,3212,3214,
3215,3216,3217,3218,3220,3221,3222,3223,3224,3225,3226,3227,3228,3229,3230,
3231,3232,3233,3234,3235,3236,3237,3238,3239,3240,3241,3242,3243,3283,3290,
3291,3301,3303,3304,3305,3306,3307,3308,3309,3310,3311,3312,3313,3314,3315,
3317,3318,3319,3321,3322,3323,3324,3325,3326,3327,3328,3329,3330,3331,3332,
3333,3334,3335,3336,3337,3338,3339,3340,3341,3342,3343,3344,3345,3346,3347,
3348,3349,3350,3351,3352,3353,3354,3355,3356,3357,3358,3359,3360,3361,3362,
3363,3364,3365,3366,3367,3368,3369,3371,3372,3373,3374,3375,3376,3377,3378,
3379,3380,3381,3382,3383,3384,3385,3386,3387,3388,3401,3402,3404,3405,3406,
3407,3408,3409,3411,3412,3415,3417,3418,3419,3420,3421,3422,3423,3424,3433,
3434,3436,3437,3439,3440,3442,3444,3446,3447,3448,3449,3450,3451,3455,3456,
3466,3467,3468,3469,3470,3471,3472,3478,3479,3481,3482,3483,3484,3485,3487,
3488,3490,3491,3505,3506,3507,3508,3509,3510,3511,3512,3513,3514,3515,3516,
3522,3524,3525,3526,3527,3528,3529,3531,3532,3537,3538,3539,3540,3550,3551,
3552,3553,3554,3555,3556,3557,3558,3559,3560,3561,3564,3565,3566,3567,3568,
3569,3571,3572,3573,3574,3576,3577,3578,3579,3581,3584,3585,3586,3587,3589,
3590,3607,3610,3612,3613,3615,3617,3618,3619,3620,3623,3624,3625,3626,3634,
3638,3639,3646,3647,3656,3657,3662,3665,3666,3668,3669,3670,3671,3674,3675,
3676,3677,3678,3679,3681,3685,3686,3687,3688,3689,3690,3691,3692,3693,3694,
3696,3700,3701,3702,3703,3704,3705,3706,3707,3708,3709,3710,3711,3712,3713,
3714,3715,3716,3717,3718,3719,3720,3721,3722,3723,3724,3728,3729,3730,3753,
3754,3755,3757,3758,3759,3760,3761,3762,3763,3764,3765,3771,3772,3773,3774,
3775,3777,3778,3779,3781,3782,3783,3784,3785,3786,3787,3788,3789,3790,3791,
3792,3793,3794,3795,3796,3797,3798,3799,3800,3801,3802,3803,3805,3806,3807,
3812,3813,3819,3821,3836,3837,3841,3847,3848,3849,3850,3851,3854,3855,3873,
3874,3875,3876,3878,3879,3881,3882,3883,3884,3885,3886,3887,3888,3889,3890,
3907,3908,3909,3927,3928,3930,3931,3932,3933,3934,3935,3939,3940,3942,3943,
3946,3947,3948,3949,3952,3953,3957,3958,3959,3960,3969,3970,3980,3981,3982,
3983,3984,3985,3986,3987,3988,3989,3990,3991,3994,3997,3998,4001,4002,4003,
4004,4005,4006,4007,4008,4009,4010,4011,4012,4015,4016,4018,4020,4021,4022,
4023,4024,4025,4026,4027,4028,4029,4030,4031,4032,4034,4038,4042,4044,4049,
4053,4054,4055,4056,4060,4061,4064,4065,4066,4068,4069,4070,4072,4073,4074,
4079,4097,4120,4122,4125,4126,4127,4129,4130,4131,4132,4133,4134,4135,4136,
4137,4138,4139,4140,4141,4142,4143,4144,4145,4146,4147,4148,4149,4165,4166,
4168,4169,4170,4171,4172,4173,4176,4177,4180,4183,4185,4186,4198,4199,4200,
4201,4202,4204,4206,4207,4212,4213,4216,4217,4218,4219,4220,4221,4222,4223,
4224,4226,4229,4231,4232,4234,4236,4248,4249,4250,4251,4252,4253,4254,4255,
4276,4277,4278,4279,4280,4281,4282,4283,4284,4285,4286,4287,4288,4289,4290,
4291,4292,4293,4294,4295,4296,4297,4298,4299,4300,4301,4302,4303,4304,4309,
4310,4311,4312,4315,4331,4332,4339,4344,4345,4346,4347,4353,4354,4355,4356,
4357,4358,4362,4363,4364,4366,4367,4368,4379,4380,4381,4382,4383,4384,4385,
4386,4387,4388,4389,4390,4391,4392,4393,4394,4395,4396,4397,4398,4399,4400,
4401,4402,4404,4405,4417,4418,4419,4420,4421,4427,4428,4429,4430,4431,4432,
4433,4434,4435,4436,4443,4444,4445,4448,4449,4450,4451,4452,4453,4454,4457,
4458,4462,4465,4466,4467,4468,4469,4471,4472,4473,4474,4480,4482,4483,4484,
4485,4489,4490,4491,4492,4493,4495,4496,4497,4498,4499,4500,4501,4508,4509,
4510,4511,4518,4519,4520,4521,4522,4525,4531,4532,4533,4543,4548],[1,2,3,4,5,6
,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,28,29,30,31,32,33,34
,35,37,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64
,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91
,92,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,
114,115,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,135,136,
139,140,141,142,143,144,145,146,147,148,151,152,153,154,155,156,157,158,159,
160,161,162,165,166,168,169,170,171,172,173,174,175,176,179,180,181,182,183,
184,185,186,187,188,189,190,191,193,199,201,205,206,207,208,212,213,214,215,
216,218,220,221,222,223,224,225,226,228,229,230,231,232,233,234,235,236,237,
238,242,243,244,245,247,250,251,254,255,256,257,258,259,261,262,263,264,265,
266,268,269,270,271,272,273,274,275,278,279,281,283,284,285,286,287,290,291,
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,
330,331,333,334,335,336,337,338,340,341,342,343,344,345,366,367,368,369,371,
372,380,381,382,383,384,385,386,387,388,389,390,391,392,393,399,400,401,402,
405,406,407,408,409,411,412,413,414,415,416,417,420,421,422,424,425,426,427,
428,429,430,431,432,439,440,442,445,446,447,448,449,450,451,452,453,454,457,
458,459,460,474,475,476,477,479,482,483,484,491,494,500,501,502,503,504,505,
506,507,508,509,510,511,512,513,519,520,521,522,523,524,525,526,528,529,530,
531,532,533,534,535,536,537,538,539,541,543,544,545,546,549,551,552,553,554,
555,557,558,559,560,565,566,567,568,569,570,571,572,573,574,576,577,578,583,
584,585,586,589,597,598,599,600,605,611,613,616,618,619,620,621,622,629,630,
631,632,633,634,635,636,637,638,639,640,641,642,643,646,647,650,651,652,663,
666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,
685,686,687,688,691,692,693,694,695,696,700,701,707,708,709,710,711,712,713,
714,715,716,717,719,720,721,723,724,725,726,728,729,733,735,736,737,742,744,
745,746,747,748,749,750,751,752,753,754,756,757,758,759,760,761,762,767,768,
784,788,789,791,792,793,794,796,797,798,829,830,831,832,833,834,848,849,850,
851,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,
876,877,878,879,880,881,883,886,887,888,894,895,905,911,912,913,914,915,917,
918,919,920,921,922,930,933,934,938,939,940,941,942,943,944,945,946,955,957,
961,963,964,965,969,970,971,972,973,974,975,977,978,979,980,981,986,987,988,
989,990,991,992,993,994,995,996,997,1027,1028,1029,1033,1034,1038,1039,1040,
1041,1042,1043,1044,1045,1046,1047,1049,1051,1053,1054,1055,1058,1059,1060,
1063,1064,1065,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1078,1079,
1080,1083,1084,1085,1086,1089,1090,1091,1092,1093,1094,1095,1098,1099,1100,
1101,1102,1104,1105,1115,1117,1123,1126,1127,1128,1129,1130,1131,1132,1133,
1134,1137,1139,1141,1142,1145,1146,1147,1148,1149,1150,1151,1156,1170,1172,
1173,1174,1175,1176,1178,1183,1198,1199,1201,1202,1206,1207,1208,1212,1217,
1219,1220,1221,1223,1225,1226,1231,1232,1233,1237,1238,1239,1240,1248,1249,
1250,1253,1271,1282,1293,1294,1295,1296,1297,1298,1300,1303,1304,1309,1310,
1311,1312,1313,1317,1318,1319,1320,1321,1324,1325,1326,1327,1328,1329,1335,
1337,1343,1344,1351,1353,1356,1358,1359,1360,1361,1363,1378,1379,1383,1387,
1388,1390,1391,1392,1393,1395,1396,1397,1398,1399,1400,1401,1402,1403,1406,
1408,1409,1410,1411,1415,1416,1417,1418,1419,1420,1422,1423,1424,1425,1426,
1427,1428,1429,1430,1432,1434,1480,1482,1483,1484,1485,1487,1489,1512,1513,
1515,1516,1535,1536,1537,1538,1540,1551,1552,1553,1556,1557,1558,1559,1562,
1563,1564,1565,1566,1569,1570,1571,1577,1579,1580,1584,1585,1586,1587,1588,
1589,1592,1594,1596,1597,1598,1599,1600,1601,1602,1603,1606,1607,1610,1611,
1620,1626,1627,1628,1630,1632,1633,1636,1637,1638,1642,1643,1644,1646,1647,
1658,1665,1668,1669,1670,1671,1672,1673,1677,1678,1689,1699,1708,1716,1717,
1718,1719,1720,1721,1722,1723,1724,1727,1752,1755,1756,1757,1758,1759,1760,
1761,1790,1791,1792,1793,1794,1795,1796,1797,1799,1801,1805,1806,1810,1817,
1818,1819,1824,1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,1844,
1845,1846,1847,1850,1851,1855,1856,1857,1865,1871,1872,1873,1874,1877,1878,
1879,1880,1881,1887,1888,1889,1891,1892,1893,1894,1895,1896,1897,1899,1901,
1902,1904,1906,1907,1908,1909,1910,1920,1922,1925,1930,1932,1943,1944,1948,
1949,1950,1955,1956,1957,1958,1970,1971,1995,1996,1997,1998,1999,2000,2001,
2005,2019,2020,2021,2085,2086,2087,2088,2090,2091,2092,2095,2097,2098,2099,
2100,2102,2103,2104,2105,2106,2107,2108,2109,2111,2112,2113,2114,2115,2120,
2121,2122,2123,2126,2136,2139,2143,2150,2151,2152,2154,2156,2161,2162,2164,
2166,2167,2168,2169,2178,2179,2180,2185,2186,2189,2191,2192,2195,2219,2220,
2225,2226,2236,2240,2241,2242,2246,2248,2249,2250,2251,2252,2253,2254,2294,
2295,2297,2298,2299,2300,2301,2302,2304,2306,2307,2308,2309,2311,2312,2313,
2314,2315,2316,2317,2318,2334,2336,2350,2351,2354,2355,2356,2367,2368,2377,
2380,2381,2384,2387,2388,2389,2390,2393,2394,2397,2398,2400,2402,2404,2407,
2408,2413,2415,2417,2418,2419,2421,2427,2465,2471,2474,2475,2485,2486,2487,
2489,2533,2534,2535,2537,2538,2544,2546,2547,2548,2549,2550,2551,2553,2554,
2560,2567,2568,2569,2570,2573,2588,2591,2592,2594,2595,2596,2597,2598,2599,
2600,2606,2607,2610,2612,2613,2614,2616,2617,2618,2622,2623,2638,2639,2640,
2642,2643,2644,2645,2664,2688,2689,2690,2691,2709,2715,2716,2751,2752,2753,
2756,2757,2758,2759,2760,2761,2763,2765,2766,2767,2768,2769,2770,2771,2772,
2773,2774,2777,2778,2783,2784,2811,2812,2820,2821,2827,2828,2829,2830,2841,
2843,2844,2845,2846,2847,2849,2857,2861,2862,2863,2872,2873,2874,2875,2876,
2878,2880,2881,2883,2884,2885,2887,2888,2889,2890,2891,2895,2896,2899,2900,
2904,2905,2917,2929,2930,2939,2941,2946,2951,2965,2966,2976,2977,2978,2983,
2984,2986,2987,2988,2990,2992,2993,2995,2997,2998,3001,3004,3005,3006,3007,
3008,3009,3011,3012,3014,3016,3021,3022,3023,3024,3030,3031,3032,3033,3036,
3041,3042,3043,3044,3053,3070,3071,3076,3082,3095,3107,3127,3152,3155,3156,
3157,3163,3165,3168,3169,3171,3172,3173,3174,3176,3177,3181,3186,3187,3191,
3193,3199,3200,3202,3203,3214,3216,3220,3221,3231,3244,3245,3247,3248,3249,
3250,3251,3252,3258,3260,3261,3268,3269,3272,3276,3277,3278,3279,3306,3307,
3308,3309,3310,3317,3318,3320,3347,3348,3350,3358,3359,3360,3361,3370,3378,
3381,3402,3403,3404,3405,3406,3407,3410,3417,3419,3421,3422,3424,3425,3430,
3437,3438,3444,3445,3454,3455,3474,3477,3479,3480,3484,3486,3490,3491,3493,
3494,3495,3496,3497,3502,3503,3521,3522,3523,3526,3527,3533,3534,3536,3537,
3538,3541,3546,3558,3580,3605,3606,3614,3617,3618,3628,3640,3644,3646,3652,
3655,3656,3658,3659,3660,3661,3665,3666,3674,3675,3677,3678,3680,3681,3684,
3685,3686,3705,3707,3708,3709,3710,3713,3716,3717,3732,3733,3747,3757,3759,
3760,3763,3767,3768,3769,3770,3773,3775,3776,3777,3778,3793,3811,3813,3815,
3826,3833,3834,3835,3837,3859,3865,3866,3869,3878,3879,3886,3887,3891,3892,
3893,3902,3903,3904,3905,3911,3915,3923,3924,3942,3943,3944,3945,3952,3964,
3965,3978,3981,3983,3984,3990,3991,3995,3997,4001,4002,4004,4007,4025,4039,
4040,4041,4043,4051,4062,4068,4070,4086,4115,4117,4119,4120,4121,4123,4125,
4126,4129,4135,4136,4141,4152,4153,4163,4168,4174,4183,4193,4195,4196,4197,
4198,4202,4203,4211,4212,4230,4235,4236,4239,4245,4269,4274,4278,4279,4281,
4284,4285,4291,4292,4298,4306,4309,4310,4311,4318,4321,4326,4340,4341,4342,
4343,4347,4350,4366,4371,4378,4379,4385,4396,4400,4401,4418,4434,4439,4441,
4446,4447,4449,4467,4471,4479,4494,4498,4503,4524,4527,4534,4539,4540,4549],[1
,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,
31,32,33,34,35,37,38,40,41,42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,58,59,
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,
109,110,111,112,113,114,115,116,117,118,120,121,130,131,132,134,135,136,139,
140,141,143,144,145,147,148,152,153,155,156,157,158,159,160,161,162,163,164,
165,166,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,
185,186,187,188,189,190,191,192,194,195,197,199,200,201,202,204,205,206,207,
208,209,212,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,
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,
363,364,365,366,367,369,372,378,379,380,381,382,383,384,385,386,387,388,389,
390,391,392,405,407,408,409,414,415,416,417,418,420,421,422,423,424,425,426,
427,428,429,430,431,432,433,435,436,437,438,439,440,442,445,446,447,448,449,
450,451,452,453,454,455,456,457,458,459,460,464,468,469,471,472,474,475,476,
477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,
497,498,500,501,502,503,504,505,506,507,508,509,510,511,512,513,519,520,521,
522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,
541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,559,560,
561,562,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,581,
582,583,584,585,586,587,588,589,590,591,592,593,594,595,597,598,599,600,601,
602,603,604,605,606,607,608,609,611,612,613,614,615,616,617,618,619,620,621,
622,623,624,625,626,627,629,643,645,649,650,651,652,653,654,655,656,658,659,
660,661,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,
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,
832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,852,
857,865,866,867,868,873,876,877,878,879,880,881,882,883,884,885,886,887,888,
889,890,891,892,893,894,895,903,906,911,915,916,918,919,922,923,924,925,926,
927,929,930,931,932,933,934,935,936,937,938,939,942,943,945,946,947,954,955,
958,961,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,
984,985,986,987,988,989,990,991,992,993,994,995,996,997,999,1000,1001,1002,
1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,
1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1029,1031,1033,1034,1037,
1038,1039,1040,1041,1042,1043,1045,1046,1047,1048,1049,1050,1051,1052,1053,
1054,1055,1058,1059,1060,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,
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,
1104,1111,1114,1115,1116,1117,1118,1119,1121,1122,1123,1124,1125,1126,1127,
1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,
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,
1174,1175,1176,1177,1178,1179,1180,1181,1183,1184,1185,1186,1187,1188,1189,
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,
1265,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,
1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1293,1294,1295,1296,
1300,1305,1317,1318,1335,1342,1343,1344,1345,1349,1351,1352,1353,1354,1356,
1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,
1373,1374,1375,1376,1377,1378,1379,1380,1381,1383,1387,1388,1389,1390,1391,
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,
1512,1513,1514,1515,1516,1518,1526,1527,1528,1532,1533,1535,1536,1537,1538,
1539,1540,1541,1542,1552,1554,1555,1562,1563,1564,1565,1566,1567,1568,1571,
1577,1579,1580,1584,1585,1586,1587,1588,1589,1592,1593,1602,1603,1604,1606,
1607,1608,1609,1613,1614,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,
1627,1628,1629,1630,1631,1632,1633,1634,1639,1642,1643,1644,1646,1647,1648,
1653,1654,1655,1658,1659,1665,1666,1668,1669,1672,1674,1675,1676,1678,1680,
1682,1684,1685,1689,1691,1694,1699,1702,1703,1704,1708,1709,1712,1714,1715,
1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1731,
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,
1777,1778,1779,1780,1781,1782,1783,1784,1785,1786,1787,1788,1789,1797,1799,
1801,1804,1807,1808,1810,1811,1812,1813,1814,1815,1816,1817,1818,1819,1824,
1825,1826,1829,1830,1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,
1843,1844,1845,1846,1847,1850,1851,1852,1853,1854,1855,1856,1857,1858,1859,
1860,1861,1862,1863,1864,1865,1866,1867,1870,1871,1872,1873,1874,1875,1876,
1877,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,
1892,1893,1894,1895,1897,1898,1899,1901,1902,1904,1906,1907,1908,1909,1910,
1911,1912,1913,1914,1915,1916,1917,1918,1920,1921,1922,1923,1924,1925,1926,
1927,1928,1929,1930,1931,1932,1933,1934,1935,1936,1937,1938,1939,1940,1942,
1943,1944,1945,1946,1947,1948,1949,1950,1952,1953,1954,1955,1956,1957,1958,
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,
2049,2050,2051,2052,2053,2054,2055,2056,2057,2058,2059,2060,2061,2066,2070,
2071,2072,2073,2074,2075,2077,2079,2080,2082,2083,2084,2086,2087,2090,2091,
2092,2097,2098,2103,2110,2116,2117,2120,2123,2127,2128,2129,2130,2136,2137,
2138,2139,2140,2141,2147,2164,2166,2167,2168,2169,2170,2177,2178,2179,2180,
2185,2186,2187,2188,2189,2190,2191,2192,2193,2194,2195,2196,2197,2198,2199,
2200,2201,2202,2203,2204,2205,2206,2207,2208,2209,2210,2211,2212,2213,2215,
2216,2217,2218,2219,2220,2221,2222,2223,2224,2225,2226,2227,2228,2230,2236,
2238,2240,2241,2242,2243,2244,2245,2246,2247,2248,2249,2250,2251,2252,2253,
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,
2284,2285,2286,2287,2288,2289,2290,2291,2292,2293,2294,2295,2300,2301,2302,
2304,2305,2307,2309,2310,2311,2312,2313,2314,2315,2316,2317,2318,2319,2320,
2321,2322,2323,2324,2329,2330,2331,2332,2333,2334,2335,2342,2343,2344,2345,
2346,2350,2352,2353,2354,2355,2357,2358,2360,2361,2362,2363,2364,2365,2369,
2370,2373,2374,2376,2377,2378,2379,2380,2381,2382,2383,2384,2387,2389,2390,
2391,2392,2393,2394,2395,2397,2398,2400,2403,2404,2405,2406,2407,2408,2409,
2411,2412,2413,2414,2415,2416,2417,2418,2420,2421,2423,2425,2427,2428,2429,
2430,2432,2433,2435,2436,2438,2439,2444,2445,2446,2447,2452,2453,2455,2462,
2465,2466,2467,2468,2469,2471,2472,2473,2474,2475,2476,2477,2478,2479,2482,
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,
2513,2514,2515,2516,2517,2518,2519,2520,2522,2523,2524,2525,2526,2527,2528,
2529,2530,2531,2547,2548,2549,2550,2553,2558,2564,2567,2568,2569,2571,2573,
2574,2575,2576,2577,2578,2579,2580,2581,2582,2583,2584,2585,2586,2587,2588,
2589,2591,2592,2593,2594,2595,2596,2597,2598,2599,2600,2605,2606,2607,2609,
2610,2611,2612,2613,2614,2615,2616,2617,2618,2622,2623,2625,2626,2627,2628,
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,
2659,2660,2661,2662,2664,2665,2666,2667,2668,2669,2670,2671,2672,2673,2674,
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,
2705,2706,2707,2708,2709,2710,2711,2712,2713,2714,2715,2716,2718,2719,2720,
2721,2722,2723,2724,2725,2726,2727,2728,2729,2730,2731,2739,2740,2741,2743,
2749,2750,2758,2759,2760,2761,2765,2767,2770,2782,2783,2787,2788,2789,2790,
2791,2799,2809,2811,2816,2817,2820,2822,2823,2824,2832,2833,2834,2835,2840,
2841,2843,2845,2850,2851,2872,2873,2874,2875,2876,2877,2878,2879,2880,2881,
2882,2883,2884,2885,2886,2887,2888,2889,2890,2891,2895,2896,2897,2898,2899,
2900,2901,2902,2903,2904,2905,2906,2907,2908,2909,2910,2911,2912,2913,2914,
2915,2917,2918,2919,2920,2921,2922,2923,2924,2925,2926,2927,2928,2929,2930,
2931,2932,2933,2934,2935,2936,2937,2938,2939,2940,2946,2947,2949,2950,2951,
2952,2953,2954,2955,2956,2957,2958,2959,2960,2961,2962,2963,2964,2965,2966,
2967,2970,2971,2972,2976,2977,2978,2982,2984,2986,2987,2989,2990,2991,2992,
2993,2994,2995,3000,3001,3004,3005,3006,3007,3008,3010,3011,3012,3014,3015,
3017,3018,3019,3021,3023,3024,3025,3026,3027,3030,3031,3032,3033,3034,3035,
3036,3037,3038,3039,3040,3044,3045,3046,3047,3048,3050,3051,3052,3053,3056,
3058,3061,3064,3065,3066,3070,3071,3073,3074,3076,3078,3079,3082,3083,3085,
3089,3090,3092,3093,3095,3096,3097,3098,3099,3100,3101,3102,3103,3105,3106,
3107,3108,3114,3115,3116,3117,3118,3119,3120,3121,3124,3127,3128,3129,3130,
3131,3132,3133,3134,3135,3136,3137,3138,3139,3140,3141,3142,3143,3144,3145,
3146,3147,3148,3149,3151,3185,3186,3187,3190,3191,3193,3199,3200,3201,3202,
3203,3205,3208,3209,3210,3211,3214,3215,3216,3217,3219,3220,3221,3222,3223,
3224,3225,3226,3227,3228,3229,3230,3231,3232,3233,3234,3235,3236,3237,3238,
3239,3240,3244,3245,3247,3248,3249,3250,3251,3252,3253,3254,3255,3256,3257,
3258,3259,3260,3261,3262,3264,3265,3266,3267,3268,3269,3270,3271,3272,3273,
3274,3275,3276,3277,3278,3279,3281,3282,3283,3284,3285,3286,3287,3288,3289,
3290,3291,3292,3293,3294,3295,3296,3297,3298,3301,3303,3305,3308,3311,3312,
3317,3321,3322,3328,3336,3344,3345,3347,3348,3361,3362,3363,3371,3377,3378,
3382,3384,3385,3386,3387,3400,3401,3402,3403,3404,3405,3406,3407,3408,3409,
3410,3411,3412,3413,3414,3415,3416,3417,3418,3419,3420,3421,3422,3423,3424,
3425,3426,3427,3428,3429,3430,3431,3432,3433,3434,3435,3436,3437,3438,3439,
3440,3441,3442,3443,3444,3445,3446,3447,3448,3449,3450,3451,3452,3453,3454,
3455,3456,3457,3458,3459,3460,3461,3462,3466,3467,3468,3469,3470,3471,3472,
3473,3479,3480,3482,3486,3489,3490,3492,3493,3494,3495,3496,3497,3501,3502,
3503,3505,3506,3510,3511,3512,3513,3516,3517,3518,3521,3522,3523,3525,3527,
3528,3529,3530,3531,3533,3534,3536,3537,3538,3539,3541,3542,3543,3544,3545,
3546,3547,3548,3550,3554,3555,3556,3558,3560,3562,3563,3564,3565,3568,3570,
3571,3572,3575,3576,3579,3580,3581,3582,3584,3585,3586,3587,3588,3589,3590,
3595,3597,3598,3599,3600,3601,3602,3603,3655,3656,3658,3659,3660,3661,3663,
3664,3665,3666,3674,3675,3676,3677,3680,3681,3684,3685,3687,3688,3689,3690,
3691,3692,3693,3694,3701,3702,3703,3704,3705,3707,3709,3710,3711,3712,3713,
3714,3715,3716,3717,3718,3719,3720,3721,3722,3723,3724,3731,3732,3733,3736,
3737,3738,3739,3740,3741,3742,3743,3744,3745,3746,3747,3749,3750,3752,3753,
3754,3756,3757,3759,3761,3764,3773,3776,3777,3780,3782,3783,3786,3787,3793,
3798,3807,3810,3811,3812,3813,3815,3816,3817,3818,3819,3820,3821,3822,3823,
3824,3825,3826,3827,3828,3829,3830,3831,3832,3833,3834,3835,3836,3837,3838,
3839,3840,3841,3842,3844,3845,3846,3847,3848,3849,3850,3851,3852,3853,3854,
3855,3856,3857,3858,3859,3860,3861,3862,3870,3871,3872,3873,3877,3878,3881,
3882,3883,3885,3886,3889,3890,3891,3892,3893,3894,3899,3900,3901,3902,3903,
3904,3905,3907,3909,3910,3911,3912,3913,3915,3917,3918,3919,3920,3921,3922,
3923,3924,3925,3926,3927,3929,3930,3931,3932,3933,3934,3935,3938,3939,3941,
3978,3979,3981,3982,3983,3984,3985,3986,3987,3989,3990,3991,3994,3995,3996,
3997,3998,3999,4000,4001,4003,4004,4005,4007,4008,4009,4010,4012,4013,4014,
4015,4017,4018,4019,4020,4021,4022,4023,4025,4027,4030,4032,4033,4034,4038,
4045,4046,4048,4049,4050,4051,4053,4055,4057,4058,4059,4060,4062,4064,4067,
4068,4071,4073,4079,4080,4081,4082,4083,4086,4087,4088,4089,4090,4091,4092,
4093,4094,4095,4096,4097,4098,4100,4101,4102,4104,4105,4106,4107,4108,4120,
4121,4123,4124,4125,4126,4129,4130,4132,4134,4135,4137,4138,4141,4143,4144,
4145,4146,4147,4148,4149,4152,4153,4154,4155,4156,4157,4158,4159,4161,4162,
4163,4164,4165,4166,4168,4170,4195,4196,4197,4198,4199,4200,4201,4202,4203,
4204,4205,4206,4207,4208,4210,4211,4212,4213,4214,4215,4216,4217,4218,4219,
4220,4221,4223,4224,4225,4226,4227,4228,4229,4230,4231,4233,4237,4238,4239,
4241,4242,4243,4244,4245,4246,4247,4248,4250,4252,4253,4254,4255,4256,4257,
4258,4259,4260,4261,4262,4263,4264,4265,4268,4274,4275,4278,4283,4285,4287,
4288,4290,4292,4293,4294,4296,4297,4298,4300,4301,4302,4303,4307,4308,4309,
4311,4318,4321,4322,4323,4324,4325,4326,4327,4328,4329,4330,4331,4332,4333,
4334,4337,4339,4348,4349,4350,4351,4352,4353,4354,4356,4357,4358,4362,4363,
4364,4365,4366,4369,4377,4378,4380,4382,4385,4392,4394,4395,4396,4399,4402,
4403,4405,4406,4408,4410,4411,4412,4414,4415,4416,4417,4422,4423,4427,4428,
4429,4430,4432,4434,4439,4440,4441,4442,4443,4447,4453,4455,4457,4459,4460,
4463,4465,4471,4474,4475,4476,4477,4478,4479,4482,4483,4484,4487,4492,4494,
4499,4502,4503,4504,4505,4506,4508,4514,4515,4516,4517,4522,4523,4526,4527,
4528,4532,4536,4537,4545,4550],[1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,19,20,
21,22,23,24,25,26,27,28,29,31,32,33,34,35,38,40,41,42,44,45,46,48,49,50,51,52,
53,54,55,56,57,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82,85,
86,87,88,89,90,91,92,93,96,99,100,101,102,103,104,105,106,107,108,109,110,113,
114,116,118,119,120,121,128,130,132,133,134,136,137,139,140,141,143,144,145,
147,153,155,156,159,160,162,163,165,166,168,172,173,174,177,178,179,180,182,
183,184,185,186,187,188,189,190,195,197,199,200,201,204,206,208,209,212,214,
215,218,219,220,221,227,228,229,230,231,232,233,234,236,237,238,239,240,241,
242,243,244,245,246,247,248,249,254,255,257,258,259,260,261,262,263,264,265,
266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,
285,286,287,288,289,290,300,301,302,303,304,305,316,326,327,328,329,330,331,
332,336,337,338,339,340,343,344,346,347,350,351,352,356,357,358,361,362,363,
366,367,369,371,378,379,380,381,382,383,384,385,386,387,388,389,403,405,409,
411,414,415,416,418,419,420,423,428,429,433,434,436,438,439,440,442,445,446,
447,448,449,450,451,452,453,454,455,456,457,459,460,464,468,471,474,479,480,
481,482,483,484,485,486,487,488,489,497,498,500,501,502,503,504,505,507,508,
509,510,511,512,521,522,526,527,528,536,547,548,549,550,551,552,553,554,555,
556,557,559,560,561,562,565,569,574,575,576,581,582,586,590,591,592,593,595,
597,602,603,604,607,609,613,617,619,623,627,629,634,638,645,650,652,656,660,
663,665,667,668,671,684,685,686,687,688,689,690,691,692,693,694,695,696,697,
698,699,700,701,702,703,704,716,717,718,719,720,721,722,723,724,734,737,740,
741,742,743,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,772,
773,774,778,783,784,785,786,787,788,796,799,800,801,802,803,804,805,806,809,
810,811,812,813,814,815,816,821,828,829,835,837,844,848,849,850,852,857,865,
866,867,868,876,877,878,879,880,881,882,883,884,891,892,893,894,895,902,906,
911,915,918,919,924,927,929,930,939,942,943,945,946,947,954,955,958,961,971,
984,986,987,994,997,998,1007,1011,1017,1021,1022,1027,1029,1031,1033,1034,1037
,1039,1040,1041,1047,1048,1049,1050,1051,1053,1055,1058,1060,1069,1070,1071,
1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,
1087,1088,1089,1090,1091,1092,1093,1094,1098,1111,1115,1116,1117,1118,1125,
1126,1134,1135,1139,1140,1144,1156,1160,1161,1162,1163,1164,1165,1166,1167,
1168,1169,1181,1202,1203,1215,1216,1225,1227,1243,1245,1254,1256,1275,1282,
1290,1291,1292,1294,1295,1305,1310,1316,1317,1318,1325,1330,1335,1343,1344,
1345,1346,1351,1353,1356,1361,1366,1370,1374,1376,1378,1383,1388,1389,1390,
1391,1392,1393,1394,1395,1408,1413,1414,1417,1427,1431,1432,1433,1435,1436,
1437,1446,1447,1448,1449,1456,1457,1458,1459,1460,1461,1462,1463,1467,1468,
1471,1487,1488,1489,1492,1493,1503,1512,1513,1514,1515,1518,1526,1527,1528,
1535,1536,1537,1538,1539,1540,1541,1542,1543,1552,1554,1556,1562,1564,1566,
1567,1568,1571,1577,1584,1586,1588,1589,1592,1593,1602,1606,1607,1608,1609,
1613,1614,1617,1618,1626,1627,1628,1629,1630,1631,1632,1633,1639,1642,1644,
1646,1648,1653,1654,1655,1658,1659,1665,1666,1668,1669,1672,1674,1678,1680,
1682,1684,1685,1691,1694,1695,1699,1702,1703,1704,1708,1709,1721,1726,1730,
1752,1753,1778,1781,1782,1791,1804,1808,1817,1818,1819,1824,1826,1830,1832,
1840,1841,1842,1843,1845,1846,1851,1852,1853,1854,1855,1856,1857,1858,1859,
1860,1861,1862,1863,1864,1873,1874,1875,1876,1877,1878,1879,1880,1881,1882,
1883,1884,1885,1886,1887,1888,1889,1899,1902,1904,1910,1911,1912,1913,1914,
1915,1916,1917,1934,1935,1936,1937,1938,1939,1947,1948,1952,1953,1954,1955,
1970,1972,2009,2011,2070,2077,2078,2079,2080,2081,2082,2083,2086,2087,2097,
2103,2128,2129,2136,2139,2140,2147,2157,2164,2166,2167,2168,2169,2170,2175,
2176,2179,2180,2181,2185,2197,2202,2208,2211,2216,2220,2226,2230,2236,2238,
2245,2246,2256,2257,2258,2259,2267,2268,2274,2282,2285,2294,2295,2304,2305,
2311,2312,2322,2323,2324,2329,2330,2331,2332,2333,2345,2346,2352,2353,2354,
2355,2358,2360,2361,2362,2363,2364,2365,2369,2370,2373,2374,2376,2377,2378,
2379,2380,2381,2382,2383,2384,2387,2394,2395,2407,2409,2412,2418,2420,2421,
2428,2429,2430,2432,2433,2435,2436,2438,2439,2444,2445,2446,2447,2452,2453,
2459,2462,2465,2480,2481,2521,2527,2533,2540,2542,2547,2548,2549,2567,2568,
2591,2592,2595,2596,2597,2598,2609,2610,2611,2612,2617,2623,2625,2629,2631,
2640,2641,2645,2647,2648,2650,2651,2652,2653,2654,2655,2656,2657,2658,2659,
2660,2661,2670,2671,2687,2688,2692,2693,2715,2743,2744,2745,2746,2747,2748,
2749,2751,2758,2770,2782,2783,2787,2788,2799,2811,2832,2833,2841,2843,2845,
2850,2873,2875,2877,2879,2880,2882,2883,2886,2887,2888,2890,2891,2892,2895,
2902,2903,2922,2929,2935,2947,2963,2965,2966,2967,2970,2976,2977,2984,2986,
2992,2993,2994,3000,3001,3024,3025,3026,3027,3047,3048,3050,3096,3097,3098,
3099,3100,3101,3102,3103,3105,3106,3108,3115,3125,3126,3150,3152,3183,3185,
3186,3187,3191,3193,3194,3199,3200,3203,3208,3210,3214,3216,3221,3253,3254,
3259,3260,3271,3279,3290,3291,3300,3301,3302,3311,3312,3317,3328,3336,3347,
3348,3371,3377,3378,3382,3387,3389,3404,3409,3411,3412,3417,3420,3423,3424,
3434,3436,3439,3442,3447,3449,3470,3477,3479,3493,3496,3497,3505,3506,3510,
3511,3512,3513,3517,3522,3525,3533,3537,3538,3539,3581,3584,3586,3590,3604,
3605,3629,3631,3664,3665,3666,3667,3674,3675,3681,3687,3690,3692,3697,3703,
3707,3713,3727,3739,3751,3764,3782,3783,3786,3787,3793,3798,3814,3850,3851,
3873,3878,3894,3899,3903,3907,3909,3913,3930,3932,3934,3972,3978,3981,3982,
3983,3985,3989,3990,3991,3994,4004,4007,4008,4012,4018,4020,4037,4039,4073,
4084,4085,4099,4125,4132,4141,4158,4166,4168,4195,4198,4199,4200,4201,4216,
4223,4224,4226,4229,4250,4266,4278,4293,4309,4311,4339,4353,4356,4359,4366,
4380,4382,4385,4399,4424,4425,4427,4430,4432,4434,4443,4447,4470,4474,4478,
4479,4504,4524,4535,4547,4551],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,
19,20,21,22,23,24,25,26,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,
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,
119,120,121,122,123,124,125,126,127,128,129,130,131,132,135,136,139,140,141,
142,143,144,145,146,147,148,151,152,153,154,155,156,157,158,159,160,161,162,
163,164,165,166,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,
183,184,185,186,187,188,189,190,191,192,193,194,195,197,199,200,201,202,203,
204,205,206,207,208,209,210,212,213,214,215,216,218,219,220,221,222,223,224,
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,
358,359,360,361,362,363,364,365,366,367,368,369,371,372,373,374,375,376,377,
378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,399,400,401,
402,403,404,405,406,407,408,409,411,412,413,414,415,416,417,420,421,422,423,
424,425,426,427,428,429,430,431,432,433,435,436,437,438,439,440,442,445,446,
447,448,449,450,451,452,453,454,455,456,457,458,459,460,464,467,468,470,471,
472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,
491,492,493,494,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,
511,512,513,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,
535,536,537,538,539,540,541,543,544,545,546,547,548,549,550,551,552,553,554,
555,556,557,558,559,560,561,562,564,565,566,567,568,569,570,571,572,573,574,
575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,
595,596,597,598,599,600,602,603,604,605,606,607,608,609,610,611,612,613,615,
616,617,618,619,620,621,622,623,625,629,630,631,632,633,634,635,636,637,638,
639,640,641,642,643,644,645,646,647,648,649,650,651,652,656,658,660,661,663,
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,
836,837,838,839,840,841,842,843,844,845,846,848,849,850,851,852,857,858,859,
860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,876,877,878,879,
880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,902,903,904,
905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,
924,925,926,927,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,
944,945,946,947,948,951,952,953,954,955,956,957,958,959,960,961,962,963,964,
965,968,969,970,971,972,973,974,975,977,978,979,980,981,982,983,984,986,987,
988,989,990,991,992,993,994,995,996,997,999,1000,1002,1003,1006,1007,1008,1009
,1010,1011,1012,1016,1017,1018,1019,1020,1021,1022,1023,1024,1027,1028,1029,
1031,1033,1034,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,
1049,1050,1051,1052,1053,1054,1055,1058,1059,1060,1063,1064,1065,1066,1067,
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,
1098,1099,1100,1101,1102,1103,1104,1105,1111,1115,1116,1117,1118,1119,1120,
1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1137,
1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,
1153,1154,1155,1156,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,
1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,
1186,1187,1188,1189,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,
1202,1203,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,
1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,
1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1245,1246,1247,1248,1249,
1250,1251,1252,1253,1254,1256,1257,1258,1259,1260,1261,1262,1263,1264,1270,
1271,1275,1276,1277,1278,1280,1282,1288,1293,1294,1295,1296,1297,1298,1299,
1300,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,
1317,1318,1319,1320,1321,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,
1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1351,1353,1356,1358,1359,
1360,1361,1363,1366,1370,1371,1373,1374,1376,1378,1379,1381,1383,1387,1388,
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,
1509,1510,1512,1513,1514,1515,1516,1518,1519,1520,1521,1522,1523,1524,1525,
1526,1527,1528,1529,1530,1531,1533,1534,1535,1536,1537,1538,1539,1540,1541,
1542,1543,1544,1551,1552,1553,1554,1555,1556,1557,1558,1559,1562,1563,1564,
1565,1566,1567,1568,1569,1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,
1580,1583,1584,1585,1586,1587,1588,1589,1592,1593,1594,1595,1596,1597,1598,
1599,1600,1601,1602,1603,1606,1607,1608,1609,1610,1611,1613,1614,1615,1616,
1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,1631,
1632,1633,1634,1635,1636,1637,1638,1639,1642,1643,1644,1646,1647,1648,1649,
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,
1695,1696,1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,
1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1731,
1732,1734,1735,1737,1739,1740,1741,1742,1743,1746,1747,1749,1750,1752,1753,
1754,1755,1756,1757,1758,1759,1760,1761,1763,1764,1765,1775,1776,1777,1778,
1779,1780,1781,1782,1783,1784,1785,1786,1790,1791,1792,1793,1794,1795,1796,
1797,1798,1799,1801,1803,1804,1805,1806,1807,1808,1810,1811,1812,1817,1818,
1819,1824,1826,1829,1830,1831,1832,1833,1834,1835,1836,1837,1838,1839,1840,
1841,1842,1843,1844,1845,1846,1847,1850,1851,1852,1853,1854,1855,1856,1857,
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,
1888,1889,1890,1891,1892,1893,1894,1895,1896,1897,1898,1899,1901,1902,1904,
1906,1907,1908,1909,1910,1911,1912,1913,1914,1915,1916,1917,1918,1919,1920,
1921,1922,1923,1924,1925,1927,1928,1929,1930,1931,1932,1933,1934,1935,1936,
1937,1938,1939,1940,1941,1942,1943,1944,1945,1946,1947,1948,1949,1950,1951,
1952,1953,1954,1955,1956,1957,1958,1960,1961,1962,1963,1964,1968,1970,1971,
1972,1973,1974,1975,1976,1977,1978,1979,1981,1982,1983,1984,1985,1986,1987,
1988,1990,1993,1994,1995,1996,1997,1998,1999,2000,2001,2002,2003,2004,2005,
2006,2007,2008,2009,2011,2012,2013,2014,2015,2016,2017,2018,2019,2020,2021,
2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2032,2033,2034,2035,2036,
2041,2042,2043,2044,2045,2046,2047,2049,2050,2051,2052,2060,2070,2075,2085,
2086,2087,2088,2090,2091,2092,2093,2095,2096,2097,2098,2099,2100,2101,2102,
2103,2104,2105,2106,2107,2108,2109,2110,2111,2112,2113,2114,2115,2116,2117,
2118,2119,2120,2121,2122,2123,2124,2125,2126,2127,2128,2129,2130,2131,2134,
2135,2136,2137,2138,2139,2140,2141,2142,2143,2147,2148,2149,2150,2151,2152,
2153,2154,2155,2156,2157,2158,2159,2160,2161,2162,2164,2165,2166,2167,2168,
2169,2178,2179,2180,2185,2186,2189,2191,2192,2195,2197,2199,2201,2202,2206,
2207,2208,2211,2215,2216,2218,2219,2220,2222,2223,2224,2225,2226,2230,2236,
2238,2240,2241,2242,2243,2244,2245,2246,2247,2248,2249,2250,2251,2252,2253,
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,
2284,2285,2286,2287,2288,2289,2290,2291,2292,2294,2295,2297,2298,2299,2300,
2301,2302,2304,2305,2306,2307,2308,2309,2310,2311,2312,2313,2314,2315,2316,
2317,2318,2319,2320,2321,2322,2323,2324,2329,2330,2331,2332,2333,2334,2335,
2336,2337,2338,2339,2340,2341,2345,2346,2347,2348,2349,2350,2351,2352,2353,
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,
2384,2385,2387,2388,2389,2390,2391,2392,2393,2394,2395,2397,2398,2399,2400,
2401,2402,2403,2404,2405,2406,2407,2408,2409,2412,2413,2414,2415,2416,2417,
2418,2419,2420,2421,2424,2425,2426,2427,2428,2429,2430,2431,2432,2433,2434,
2435,2436,2437,2438,2439,2440,2441,2442,2443,2444,2445,2446,2447,2448,2449,
2450,2451,2452,2453,2454,2455,2456,2457,2458,2459,2462,2463,2464,2465,2471,
2473,2474,2475,2477,2479,2484,2485,2486,2487,2488,2489,2490,2491,2493,2494,
2496,2497,2501,2502,2504,2505,2506,2507,2510,2511,2512,2524,2525,2526,2527,
2532,2533,2534,2535,2537,2538,2539,2540,2541,2542,2543,2544,2545,2546,2547,
2548,2549,2550,2551,2552,2553,2554,2557,2558,2560,2562,2563,2564,2565,2566,
2567,2568,2569,2570,2573,2580,2588,2591,2592,2594,2595,2596,2597,2598,2599,
2600,2606,2607,2609,2610,2611,2612,2613,2614,2616,2617,2618,2622,2623,2625,
2627,2629,2631,2632,2633,2634,2635,2636,2637,2638,2639,2640,2641,2642,2643,
2644,2645,2646,2647,2648,2649,2650,2651,2652,2653,2654,2655,2656,2657,2658,
2659,2660,2661,2662,2663,2664,2665,2667,2668,2669,2670,2671,2673,2677,2678,
2679,2681,2682,2683,2687,2688,2689,2690,2691,2692,2693,2702,2703,2706,2708,
2709,2710,2714,2715,2716,2718,2719,2721,2722,2724,2725,2726,2727,2730,2731,
2739,2740,2741,2751,2752,2753,2756,2757,2758,2759,2760,2761,2763,2764,2765,
2766,2767,2768,2769,2770,2771,2772,2773,2774,2775,2776,2777,2778,2779,2780,
2781,2782,2783,2784,2786,2787,2788,2789,2790,2791,2794,2795,2796,2797,2798,
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,
2829,2830,2831,2832,2833,2834,2835,2836,2837,2840,2841,2843,2844,2845,2846,
2847,2849,2850,2851,2852,2853,2854,2855,2856,2857,2858,2859,2860,2861,2862,
2863,2864,2865,2866,2867,2868,2869,2870,2871,2872,2873,2874,2875,2876,2877,
2878,2879,2880,2881,2882,2883,2884,2885,2886,2887,2888,2889,2890,2891,2895,
2896,2899,2900,2901,2902,2903,2904,2905,2908,2911,2912,2915,2917,2921,2922,
2924,2928,2929,2930,2933,2934,2935,2937,2938,2939,2941,2946,2947,2949,2950,
2951,2952,2953,2954,2955,2956,2957,2958,2959,2960,2961,2962,2963,2965,2966,
2967,2970,2971,2972,2973,2974,2975,2976,2977,2978,2983,2984,2986,2987,2988,
2989,2990,2991,2992,2993,2994,2995,2996,2997,2998,2999,3000,3001,3004,3005,
3006,3007,3008,3009,3010,3011,3012,3013,3014,3015,3016,3017,3019,3020,3021,
3022,3023,3024,3025,3026,3027,3028,3029,3030,3031,3032,3033,3034,3035,3036,
3037,3038,3039,3040,3041,3042,3043,3044,3045,3046,3047,3048,3050,3052,3053,
3054,3055,3056,3057,3058,3059,3060,3061,3062,3063,3064,3065,3066,3067,3068,
3069,3070,3071,3072,3073,3074,3075,3076,3077,3078,3079,3080,3081,3082,3083,
3084,3085,3086,3087,3088,3089,3090,3091,3092,3094,3095,3096,3097,3098,3099,
3100,3101,3102,3103,3104,3105,3106,3107,3108,3109,3110,3111,3112,3113,3127,
3129,3134,3135,3136,3144,3145,3147,3148,3152,3155,3156,3157,3158,3160,3163,
3165,3166,3168,3169,3170,3171,3172,3173,3174,3175,3176,3177,3178,3179,3180,
3181,3182,3183,3184,3185,3186,3187,3188,3191,3192,3193,3199,3200,3202,3203,
3208,3210,3211,3212,3214,3216,3220,3221,3226,3229,3231,3232,3244,3245,3247,
3248,3249,3250,3251,3252,3253,3254,3258,3259,3260,3261,3262,3264,3265,3266,
3267,3268,3269,3270,3271,3272,3273,3274,3275,3276,3277,3278,3279,3281,3283,
3287,3288,3290,3291,3298,3306,3307,3308,3309,3310,3311,3312,3313,3314,3316,
3317,3318,3320,3321,3322,3323,3324,3325,3326,3327,3328,3330,3331,3332,3333,
3334,3335,3336,3337,3338,3339,3340,3341,3342,3343,3344,3345,3347,3348,3349,
3350,3351,3352,3353,3354,3355,3356,3357,3358,3359,3360,3361,3362,3363,3364,
3365,3366,3367,3368,3369,3370,3371,3372,3373,3374,3376,3377,3378,3379,3380,
3381,3382,3384,3385,3386,3387,3389,3390,3391,3392,3393,3396,3397,3398,3399,
3401,3402,3403,3404,3405,3406,3407,3408,3409,3410,3411,3412,3414,3415,3417,
3418,3419,3420,3421,3422,3423,3424,3425,3427,3429,3430,3433,3434,3435,3436,
3437,3438,3439,3440,3441,3442,3444,3445,3447,3448,3449,3450,3453,3454,3455,
3457,3458,3459,3460,3469,3470,3472,3474,3475,3476,3477,3479,3480,3482,3484,
3486,3487,3489,3490,3491,3493,3494,3495,3496,3497,3502,3503,3505,3506,3510,
3511,3512,3513,3514,3515,3516,3517,3518,3521,3522,3523,3525,3526,3527,3528,
3529,3531,3532,3533,3534,3536,3537,3538,3539,3541,3543,3546,3548,3550,3551,
3552,3553,3554,3555,3556,3557,3558,3559,3560,3561,3564,3565,3566,3567,3568,
3569,3571,3572,3573,3574,3576,3577,3578,3579,3580,3581,3582,3583,3603,3605,
3606,3607,3610,3613,3614,3617,3618,3619,3620,3627,3628,3629,3631,3632,3633,
3634,3637,3638,3640,3641,3642,3643,3644,3645,3646,3648,3649,3650,3651,3652,
3655,3656,3657,3658,3659,3660,3661,3662,3663,3664,3665,3666,3674,3675,3677,
3678,3680,3681,3684,3685,3686,3687,3690,3691,3692,3700,3701,3702,3703,3705,
3706,3707,3708,3709,3710,3712,3713,3715,3716,3717,3731,3732,3733,3736,3737,
3738,3739,3740,3741,3742,3743,3744,3745,3746,3747,3749,3757,3758,3759,3760,
3761,3762,3763,3764,3766,3767,3768,3769,3770,3771,3772,3773,3774,3775,3776,
3777,3778,3779,3781,3782,3783,3785,3786,3787,3790,3791,3793,3794,3795,3796,
3797,3798,3800,3801,3802,3803,3804,3805,3806,3807,3808,3809,3811,3812,3813,
3815,3816,3817,3818,3819,3820,3821,3823,3824,3826,3828,3830,3831,3833,3834,
3835,3836,3837,3838,3841,3847,3848,3849,3850,3851,3852,3853,3854,3859,3860,
3861,3865,3866,3868,3869,3870,3873,3875,3878,3879,3883,3884,3886,3887,3891,
3892,3893,3894,3899,3900,3901,3902,3903,3904,3905,3907,3909,3910,3911,3912,
3913,3915,3917,3921,3923,3924,3927,3928,3942,3943,3944,3945,3946,3947,3948,
3949,3950,3951,3952,3954,3957,3958,3964,3965,3966,3970,3971,3972,3975,3976,
3977,3978,3979,3980,3981,3982,3983,3984,3985,3989,3990,3991,3994,3995,3996,
3997,4000,4001,4002,4004,4007,4008,4012,4013,4015,4016,4018,4020,4021,4023,
4024,4025,4026,4027,4028,4029,4030,4031,4032,4034,4039,4040,4041,4043,4045,
4046,4051,4053,4054,4055,4056,4057,4060,4061,4062,4064,4065,4066,4068,4069,
4070,4073,4074,4075,4076,4077,4078,4086,4088,4089,4092,4095,4096,4097,4098,
4101,4108,4110,4111,4115,4116,4117,4118,4119,4120,4121,4123,4125,4126,4129,
4132,4133,4135,4136,4138,4140,4141,4152,4153,4154,4155,4156,4157,4158,4159,
4161,4162,4163,4168,4172,4173,4174,4176,4177,4180,4183,4186,4187,4188,4189,
4190,4191,4192,4193,4194,4195,4196,4197,4198,4199,4200,4201,4202,4203,4205,
4206,4211,4212,4215,4216,4220,4223,4224,4226,4229,4230,4231,4232,4235,4236,
4239,4245,4247,4248,4249,4260,4269,4270,4273,4274,4275,4276,4278,4279,4281,
4282,4283,4284,4285,4286,4287,4288,4289,4291,4292,4293,4294,4298,4299,4306,
4307,4308,4309,4310,4311,4314,4315,4316,4318,4321,4323,4326,4327,4328,4329,
4331,4333,4337,4339,4340,4341,4342,4343,4345,4347,4349,4350,4351,4366,4370,
4371,4372,4378,4379,4380,4382,4384,4385,4387,4388,4389,4390,4391,4392,4393,
4394,4396,4397,4398,4399,4400,4401,4402,4416,4418,4420,4423,4430,4432,4434,
4438,4439,4440,4441,4443,4445,4446,4447,4448,4449,4450,4451,4452,4453,4454,
4466,4467,4468,4471,4474,4476,4478,4479,4480,4493,4494,4495,4498,4499,4503,
4504,4505,4517,4518,4523,4524,4527,4534,4535,4537,4539,4540,4541,4542,4544,
4546,4549,4552],[1,2,4,5,6,7,8,9,10,11,12,13,19,20,22,23,24,26,27,28,29,31,32,
34,35,40,41,42,43,44,46,48,49,50,51,57,65,71,73,74,75,76,77,78,82,87,88,96,100
,101,102,107,108,116,118,119,120,121,122,123,124,125,126,127,128,129,130,132,
134,136,139,140,141,142,143,144,145,146,147,148,151,153,154,155,156,157,158,
159,160,161,162,163,164,168,172,173,174,177,178,188,189,199,200,205,206,207,
208,209,210,212,215,216,217,218,219,221,236,237,238,239,240,241,257,258,259,
260,261,262,263,280,281,282,316,331,332,346,347,352,358,362,366,367,369,371,
380,381,383,384,385,386,387,388,389,390,393,399,400,401,402,405,407,408,409,
411,414,415,418,420,428,429,439,440,441,442,443,445,446,447,448,449,450,451,
452,454,455,456,474,479,480,481,500,501,503,505,506,507,508,513,520,521,522,
523,524,525,528,536,551,562,565,566,569,570,571,572,573,574,575,576,577,578,
579,580,586,592,597,604,611,618,619,620,621,622,626,627,629,630,631,632,633,
634,635,636,637,638,639,640,641,642,650,651,652,654,656,660,663,671,687,688,
689,690,716,717,718,742,743,769,778,799,800,809,813,821,848,849,850,857,858,
859,860,861,862,863,864,865,866,867,868,869,870,871,873,874,876,877,882,883,
884,911,913,914,915,916,918,919,929,930,931,932,936,937,938,942,944,945,946,
951,952,953,954,955,961,962,971,986,987,1027,1029,1031,1034,1038,1039,1040,
1041,1044,1045,1046,1050,1052,1058,1059,1060,1063,1066,1067,1068,1069,1070,
1078,1079,1080,1081,1082,1083,1084,1115,1116,1137,1138,1139,1140,1142,1143,
1156,1160,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1228,1229,1230,
1231,1232,1233,1234,1235,1271,1272,1275,1279,1287,1290,1291,1293,1294,1295,
1296,1297,1298,1303,1304,1310,1312,1313,1317,1318,1319,1320,1321,1325,1327,
1328,1329,1335,1343,1344,1345,1346,1351,1356,1358,1360,1361,1362,1363,1365,
1366,1378,1379,1382,1383,1384,1385,1386,1388,1389,1435,1446,1447,1456,1462,
1512,1513,1514,1535,1539,1552,1556,1562,1563,1564,1565,1566,1567,1568,1569,
1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,1580,1584,1586,1592,1594,
1601,1602,1606,1607,1613,1614,1617,1618,1642,1643,1644,1647,1648,1653,1658,
1659,1660,1661,1663,1664,1665,1669,1672,1673,1675,1678,1679,1689,1699,1701,
1708,1710,1712,1721,1730,1790,1791,1792,1793,1794,1795,1796,1810,1814,1816,
1817,1818,1826,1832,1833,1845,1847,1851,1852,1853,1854,1873,1874,1875,1882,
1907,1912,1913,1920,1921,1922,1923,1924,1925,1934,1935,1947,1948,1950,1951,
1957,1958,1959,1969,2018,2022,2023,2026,2040,2057,2077,2079,2080,2085,2086,
2087,2097,2098,2099,2100,2103,2104,2105,2106,2107,2108,2109,2116,2117,2118,
2119,2120,2121,2136,2137,2139,2141,2143,2166,2167,2170,2179,2180,2185,2189,
2195,2208,2225,2226,2230,2233,2234,2236,2256,2294,2295,2297,2298,2299,2300,
2301,2304,2307,2308,2309,2310,2311,2312,2329,2350,2351,2358,2360,2361,2369,
2370,2376,2387,2388,2389,2390,2391,2392,2393,2394,2397,2398,2399,2426,2427,
2464,2465,2467,2468,2469,2480,2533,2535,2537,2544,2546,2547,2548,2549,2550,
2553,2567,2568,2569,2570,2571,2572,2573,2574,2587,2588,2590,2591,2595,2615,
2616,2629,2630,2631,2650,2651,2676,2700,2701,2705,2710,2743,2745,2751,2752,
2753,2758,2770,2772,2777,2779,2780,2781,2782,2783,2784,2797,2798,2806,2808,
2811,2812,2813,2814,2815,2820,2821,2822,2823,2827,2840,2841,2844,2845,2849,
2855,2856,2873,2875,2880,2882,2883,2886,2895,2916,2939,2941,2965,2967,2976,
2978,2992,2993,2994,2995,2996,2997,3011,3012,3013,3014,3015,3016,3017,3023,
3026,3052,3053,3054,3055,3072,3073,3076,3077,3082,3083,3084,3115,3117,3118,
3119,3125,3152,3155,3157,3163,3165,3171,3185,3193,3194,3199,3200,3208,3214,
3215,3216,3219,3220,3221,3231,3239,3243,3253,3297,3300,3308,3309,3310,3311,
3312,3317,3318,3333,3334,3362,3365,3366,3367,3378,3379,3381,3404,3409,3464,
3474,3477,3478,3479,3480,3486,3490,3491,3493,3505,3506,3517,3544,3546,3547,
3578,3579,3580,3584,3588,3594,3605,3617,3619,3620,3644,3646,3665,3674,3675,
3677,3678,3681,3685,3686,3687,3697,3705,3706,3712,3713,3716,3757,3758,3764,
3773,3774,3775,3776,3794,3810,3814,3864,3866,3871,3878,3879,3880,3881,3886,
3887,3889,3894,3925,3930,3937,3946,3947,3952,3978,3981,3983,3985,3989,3994,
4025,4026,4039,4040,4041,4042,4043,4053,4054,4059,4062,4080,4084,4117,4125,
4129,4135,4136,4141,4149,4150,4168,4180,4200,4209,4236,4242,4250,4258,4274,
4278,4279,4281,4282,4283,4298,4299,4306,4309,4335,4347,4353,4366,4367,4380,
4387,4408,4418,4424,4430,4434,4447,4459,4462,4466,4478,4488,4490,4494,4516,
4524,4539,4547,4553],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,20,21,22,23
,24,25,26,27,28,29,30,31,32,33,34,35,37,38,39,40,41,42,43,44,45,46,48,49,50,51
,52,53,54,55,56,57,62,63,64,65,66,67,68,69,70,71,73,74,75,76,77,78,79,80,81,82
,85,86,87,88,89,90,91,92,93,96,99,100,101,102,103,104,105,106,107,108,109,110,
113,114,116,118,119,120,121,122,123,124,125,126,127,128,129,130,132,133,134,
136,137,139,140,141,142,143,144,145,146,147,148,151,153,154,155,156,157,158,
159,160,161,162,163,164,165,166,168,169,170,171,172,173,174,175,176,177,178,
179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,197,199,
200,201,202,203,204,205,206,207,208,209,210,212,214,215,216,217,218,219,220,
221,227,228,229,230,231,232,233,234,236,237,238,239,240,241,242,243,244,245,
246,247,248,249,254,255,257,258,259,260,261,262,263,264,265,266,267,268,269,
270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,
289,290,300,301,302,303,304,305,316,326,327,328,329,330,331,332,336,337,338,
339,340,343,344,346,347,350,351,352,356,357,358,361,362,363,366,367,369,371,
372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,
391,392,393,399,400,401,402,403,404,405,407,408,409,411,414,415,416,418,419,
420,423,428,429,433,434,436,438,439,440,441,442,443,445,446,447,448,449,450,
451,452,453,454,455,456,457,458,459,460,464,467,468,469,470,471,472,473,474,
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,
513,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,
538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,
557,558,559,560,561,562,564,565,566,569,570,571,572,573,574,575,576,577,578,
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,
617,618,619,620,621,622,623,624,625,626,627,629,630,631,632,633,634,635,636,
637,638,639,640,641,642,645,650,651,652,654,656,657,658,660,661,662,663,665,
667,668,671,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,
700,701,702,703,704,716,717,718,719,720,721,722,723,724,734,737,740,741,742,
743,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,772,773,774,
778,783,784,785,786,787,788,796,799,800,801,802,803,804,805,806,809,810,811,
812,813,814,815,816,821,828,829,835,837,844,848,849,850,852,857,858,859,860,
861,862,863,864,865,866,867,868,869,870,871,873,874,876,877,878,879,880,881,
882,883,884,885,886,887,888,889,890,891,892,893,894,895,902,903,904,905,906,
908,909,910,911,913,914,915,916,918,919,921,922,923,924,925,926,927,929,930,
931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,951,952,
953,954,955,958,959,960,961,962,971,984,986,987,994,997,998,1007,1011,1017,
1021,1022,1027,1029,1031,1033,1034,1036,1037,1038,1039,1040,1041,1044,1045,
1046,1047,1048,1049,1050,1051,1052,1053,1055,1058,1059,1060,1063,1066,1067,
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,
1098,1103,1104,1105,1111,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,
1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,
1139,1140,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,
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,
1260,1261,1262,1263,1264,1265,1267,1268,1269,1270,1271,1272,1273,1274,1275,
1276,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,
1293,1294,1295,1296,1297,1298,1299,1300,1303,1304,1305,1306,1307,1308,1310,
1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1325,1327,1328,1329,1330,
1331,1332,1333,1335,1343,1344,1345,1346,1351,1353,1354,1355,1356,1358,1360,
1361,1362,1363,1365,1366,1370,1371,1372,1373,1374,1376,1378,1379,1381,1382,
1383,1384,1385,1386,1388,1389,1390,1391,1392,1393,1394,1395,1408,1413,1414,
1417,1427,1431,1432,1433,1435,1436,1437,1446,1447,1448,1449,1456,1457,1458,
1459,1460,1461,1462,1463,1467,1468,1471,1487,1488,1489,1492,1493,1503,1512,
1513,1514,1515,1516,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,
1529,1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542,1543,
1552,1553,1554,1555,1556,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,
1572,1573,1574,1575,1576,1577,1578,1579,1580,1584,1585,1586,1587,1588,1589,
1592,1593,1594,1595,1596,1597,1598,1599,1600,1601,1602,1603,1604,1606,1607,
1608,1609,1613,1614,1615,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,
1627,1628,1629,1630,1631,1632,1633,1634,1636,1637,1638,1639,1642,1643,1644,
1646,1647,1648,1649,1650,1651,1652,1653,1654,1655,1656,1658,1659,1660,1661,
1662,1663,1664,1665,1666,1668,1669,1670,1671,1672,1673,1674,1675,1676,1678,
1679,1680,1681,1682,1683,1684,1685,1686,1687,1688,1689,1690,1691,1692,1693,
1694,1695,1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,
1712,1721,1726,1730,1752,1753,1778,1781,1782,1790,1791,1792,1793,1794,1795,
1796,1804,1808,1810,1811,1812,1814,1816,1817,1818,1819,1824,1825,1826,1829,
1830,1831,1832,1833,1840,1841,1842,1843,1845,1846,1847,1851,1852,1853,1854,
1855,1856,1857,1858,1859,1860,1861,1862,1863,1864,1866,1867,1868,1869,1870,
1871,1872,1873,1874,1875,1876,1877,1878,1879,1880,1881,1882,1883,1884,1885,
1886,1887,1888,1889,1890,1891,1896,1898,1899,1902,1904,1907,1910,1911,1912,
1913,1914,1915,1916,1917,1918,1919,1920,1921,1922,1923,1924,1925,1926,1927,
1928,1929,1930,1931,1932,1933,1934,1935,1936,1937,1938,1939,1941,1942,1943,
1944,1945,1946,1947,1948,1950,1951,1952,1953,1954,1955,1957,1958,1959,1960,
1961,1962,1963,1964,1965,1966,1967,1968,1969,1970,1972,1973,1974,1975,1976,
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,
2007,2008,2009,2010,2011,2012,2013,2014,2015,2016,2017,2018,2022,2023,2024,
2025,2026,2027,2028,2029,2030,2031,2032,2033,2034,2035,2036,2037,2038,2039,
2040,2041,2042,2043,2044,2046,2047,2048,2049,2050,2051,2052,2053,2054,2055,
2056,2057,2058,2059,2060,2061,2066,2070,2071,2072,2073,2074,2077,2078,2079,
2080,2081,2082,2083,2085,2086,2087,2088,2090,2091,2092,2093,2095,2096,2097,
2098,2099,2100,2101,2103,2104,2105,2106,2107,2108,2109,2110,2116,2117,2118,
2119,2120,2121,2122,2123,2127,2128,2129,2130,2131,2134,2135,2136,2137,2138,
2139,2140,2141,2142,2143,2147,2148,2149,2157,2159,2160,2164,2166,2167,2168,
2169,2170,2175,2176,2179,2180,2181,2185,2189,2195,2197,2201,2202,2207,2208,
2211,2212,2214,2215,2216,2218,2219,2220,2222,2223,2224,2225,2226,2229,2230,
2233,2234,2236,2238,2239,2245,2246,2256,2257,2258,2259,2267,2268,2274,2282,
2285,2294,2295,2297,2298,2299,2300,2301,2304,2305,2307,2308,2309,2310,2311,
2312,2313,2314,2315,2316,2317,2318,2319,2320,2321,2322,2323,2324,2329,2330,
2331,2332,2333,2334,2335,2336,2337,2338,2339,2340,2341,2342,2343,2344,2345,
2346,2347,2348,2349,2350,2351,2352,2353,2354,2355,2356,2357,2358,2360,2361,
2362,2363,2364,2365,2369,2370,2371,2372,2373,2374,2376,2377,2378,2379,2380,
2381,2382,2383,2384,2387,2388,2389,2390,2391,2392,2393,2394,2395,2397,2398,
2399,2400,2401,2402,2403,2404,2405,2406,2407,2408,2409,2411,2412,2413,2414,
2415,2416,2417,2418,2419,2420,2421,2423,2424,2425,2426,2427,2428,2429,2430,
2431,2432,2433,2434,2435,2436,2437,2438,2439,2442,2443,2444,2445,2446,2447,
2448,2449,2450,2451,2452,2453,2454,2455,2459,2462,2463,2464,2465,2466,2467,
2468,2469,2470,2480,2481,2521,2527,2532,2533,2535,2537,2539,2540,2541,2542,
2543,2544,2545,2546,2547,2548,2549,2550,2553,2567,2568,2569,2570,2571,2572,
2573,2574,2575,2577,2579,2580,2583,2587,2588,2590,2591,2592,2593,2595,2596,
2597,2598,2605,2609,2610,2611,2612,2615,2616,2617,2623,2625,2626,2627,2628,
2629,2630,2631,2632,2640,2641,2645,2647,2648,2650,2651,2652,2653,2654,2655,
2656,2657,2658,2659,2660,2661,2662,2663,2664,2665,2666,2667,2668,2669,2670,
2671,2672,2673,2674,2675,2676,2679,2680,2681,2682,2683,2684,2685,2686,2687,
2688,2692,2693,2694,2695,2696,2697,2698,2699,2700,2701,2702,2703,2704,2705,
2706,2707,2710,2711,2712,2713,2714,2715,2718,2719,2720,2721,2722,2723,2724,
2725,2727,2728,2729,2730,2743,2744,2745,2746,2747,2748,2749,2751,2752,2753,
2758,2759,2760,2761,2763,2764,2765,2766,2767,2768,2769,2770,2772,2773,2774,
2775,2776,2777,2778,2779,2780,2781,2782,2783,2784,2787,2788,2789,2790,2791,
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,
2824,2825,2826,2827,2832,2833,2834,2835,2836,2837,2840,2841,2843,2844,2845,
2846,2847,2849,2850,2851,2852,2853,2854,2855,2856,2869,2873,2875,2877,2879,
2880,2882,2883,2886,2887,2888,2890,2891,2892,2895,2902,2903,2916,2917,2922,
2928,2929,2933,2934,2935,2937,2938,2939,2941,2943,2947,2963,2965,2966,2967,
2970,2971,2972,2973,2974,2975,2976,2977,2978,2982,2984,2986,2988,2989,2990,
2991,2992,2993,2994,2995,2996,2997,2998,2999,3000,3001,3004,3007,3008,3009,
3010,3011,3012,3013,3014,3015,3016,3017,3018,3019,3020,3021,3022,3023,3024,
3025,3026,3027,3029,3030,3031,3032,3033,3034,3035,3036,3037,3038,3039,3040,
3041,3042,3043,3044,3045,3046,3047,3048,3050,3051,3052,3053,3054,3055,3056,
3057,3058,3059,3060,3061,3062,3063,3064,3065,3066,3067,3068,3069,3070,3071,
3072,3073,3074,3075,3076,3077,3078,3079,3080,3081,3082,3083,3084,3085,3086,
3087,3088,3089,3090,3091,3092,3093,3094,3095,3096,3097,3098,3099,3100,3101,
3102,3103,3104,3105,3106,3108,3114,3115,3117,3118,3119,3120,3121,3122,3123,
3125,3126,3150,3152,3155,3157,3158,3160,3163,3165,3166,3170,3171,3183,3184,
3185,3186,3187,3190,3191,3193,3194,3199,3200,3202,3203,3205,3206,3207,3208,
3210,3211,3212,3213,3214,3215,3216,3219,3220,3221,3226,3229,3231,3232,3233,
3235,3237,3239,3241,3243,3253,3254,3255,3256,3257,3259,3260,3271,3279,3281,
3282,3283,3284,3285,3286,3289,3290,3291,3292,3293,3294,3295,3296,3297,3300,
3301,3302,3306,3307,3308,3309,3310,3311,3312,3313,3314,3317,3318,3321,3322,
3323,3324,3325,3326,3327,3328,3330,3331,3332,3333,3334,3335,3336,3337,3338,
3339,3340,3341,3342,3343,3344,3345,3347,3348,3349,3350,3351,3352,3353,3354,
3355,3356,3357,3358,3359,3360,3361,3362,3363,3364,3365,3366,3367,3368,3369,
3371,3372,3373,3374,3376,3377,3378,3379,3380,3381,3382,3384,3385,3386,3387,
3389,3390,3391,3396,3404,3409,3411,3412,3417,3420,3423,3424,3434,3436,3439,
3442,3447,3449,3463,3464,3465,3470,3472,3474,3475,3476,3477,3478,3479,3480,
3486,3490,3491,3493,3496,3497,3501,3505,3506,3510,3511,3512,3513,3514,3515,
3516,3517,3522,3525,3526,3527,3528,3529,3530,3531,3532,3533,3537,3538,3539,
3542,3543,3544,3545,3546,3547,3548,3550,3551,3552,3553,3554,3555,3556,3557,
3558,3559,3560,3561,3562,3563,3564,3565,3566,3567,3568,3569,3570,3571,3572,
3573,3574,3575,3576,3577,3578,3579,3580,3581,3584,3586,3588,3590,3591,3592,
3593,3594,3595,3596,3604,3605,3607,3610,3613,3617,3618,3619,3620,3629,3631,
3632,3634,3638,3644,3646,3664,3665,3666,3667,3674,3675,3677,3678,3681,3685,
3686,3687,3690,3691,3692,3693,3695,3697,3700,3701,3702,3703,3705,3706,3707,
3708,3709,3710,3712,3713,3715,3716,3717,3724,3727,3728,3739,3750,3751,3757,
3758,3759,3760,3761,3762,3763,3764,3771,3772,3773,3774,3775,3776,3777,3778,
3779,3780,3781,3782,3783,3785,3786,3787,3790,3791,3793,3794,3795,3796,3797,
3798,3800,3801,3802,3803,3805,3806,3807,3810,3814,3843,3850,3851,3863,3864,
3866,3868,3870,3871,3872,3873,3874,3877,3878,3879,3880,3881,3882,3883,3884,
3886,3887,3889,3894,3899,3903,3907,3909,3913,3917,3918,3919,3920,3922,3925,
3926,3927,3928,3929,3930,3932,3934,3936,3937,3938,3942,3943,3946,3947,3948,
3949,3952,3957,3958,3970,3972,3975,3978,3981,3982,3983,3985,3989,3990,3991,
3994,4001,4002,4004,4007,4008,4012,4015,4016,4018,4020,4021,4023,4024,4025,
4026,4027,4028,4029,4030,4031,4032,4034,4037,4039,4040,4041,4042,4043,4053,
4054,4055,4056,4057,4058,4059,4060,4061,4062,4064,4065,4066,4067,4068,4069,
4070,4071,4073,4074,4080,4081,4082,4084,4085,4099,4109,4110,4111,4117,4124,
4125,4126,4128,4129,4132,4133,4135,4136,4138,4140,4141,4143,4144,4147,4149,
4150,4151,4158,4164,4166,4167,4168,4172,4173,4176,4177,4180,4183,4186,4195,
4198,4199,4200,4201,4209,4216,4223,4224,4226,4229,4231,4232,4234,4236,4241,
4242,4243,4244,4246,4247,4248,4249,4250,4256,4257,4258,4266,4270,4274,4278,
4279,4281,4282,4283,4284,4285,4286,4287,4288,4289,4291,4292,4293,4294,4298,
4299,4301,4305,4306,4309,4311,4315,4335,4336,4338,4339,4345,4347,4352,4353,
4356,4359,4365,4366,4367,4377,4379,4380,4382,4384,4385,4387,4388,4389,4390,
4391,4392,4393,4394,4399,4408,4413,4418,4420,4424,4425,4427,4430,4432,4433,
4434,4443,4445,4447,4459,4460,4461,4462,4466,4467,4468,4470,4474,4478,4479,
4486,4487,4488,4489,4490,4493,4494,4504,4507,4509,4515,4516,4517,4524,4528,
4535,4539,4544,4547,4551,4553,4554],[1,2,4,5,6,8,9,10,11,12,13,19,20,22,23,24,
26,27,28,29,31,32,34,35,38,40,41,42,44,46,48,49,50,51,57,65,71,73,74,75,76,77,
78,82,87,88,96,100,101,102,107,108,116,118,119,120,121,128,130,132,134,136,138
,139,140,141,143,144,145,147,148,153,155,156,157,160,162,163,168,172,173,174,
177,178,179,180,188,189,190,197,199,200,201,206,207,209,212,214,215,216,218,
219,221,236,237,238,239,240,241,257,258,259,260,261,262,263,280,281,282,316,
331,332,346,347,352,358,362,366,367,369,371,378,379,380,381,384,385,386,387,
388,389,403,405,409,411,414,415,416,418,420,423,428,429,433,436,438,439,440,
442,445,446,447,448,449,450,451,452,454,455,456,457,464,474,479,480,481,482,
483,484,485,494,500,501,503,505,507,508,513,520,521,522,524,528,536,551,556,
557,559,560,562,565,566,569,573,575,576,577,586,592,593,597,604,607,608,611,
613,616,618,619,622,625,627,629,634,638,643,645,649,650,651,656,658,660,661,
671,687,688,689,690,716,717,718,742,743,769,778,799,800,809,813,821,848,849,
850,857,865,866,867,868,873,876,877,882,883,884,891,892,893,902,906,911,918,
919,927,929,930,946,947,954,955,971,984,986,987,994,997,1007,1011,1017,1021,
1022,1027,1031,1033,1038,1039,1040,1041,1045,1050,1058,1059,1060,1067,1069,
1070,1078,1079,1080,1081,1082,1083,1084,1098,1104,1111,1115,1116,1125,1126,
1139,1140,1156,1160,1167,1168,1169,1183,1185,1191,1192,1202,1203,1206,1207,
1208,1217,1225,1226,1231,1232,1233,1243,1246,1254,1263,1264,1270,1271,1275,
1276,1280,1288,1290,1291,1294,1295,1305,1310,1316,1317,1318,1325,1330,1334,
1335,1342,1343,1344,1345,1346,1349,1351,1352,1356,1357,1361,1364,1366,1371,
1383,1388,1389,1435,1446,1447,1456,1462,1512,1513,1514,1515,1518,1535,1539,
1543,1552,1556,1562,1564,1567,1568,1571,1577,1579,1580,1584,1586,1592,1593,
1606,1607,1613,1614,1617,1618,1639,1642,1644,1647,1648,1653,1658,1659,1689,
1695,1721,1726,1730,1752,1753,1778,1781,1782,1791,1797,1799,1801,1804,1807,
1810,1811,1812,1817,1818,1826,1832,1833,1845,1847,1851,1852,1853,1854,1873,
1874,1875,1882,1891,1907,1912,1913,1922,1925,1934,1935,1944,1947,1948,1957,
1958,1973,1981,1988,1990,2009,2017,2032,2036,2044,2052,2060,2077,2079,2080,
2086,2087,2097,2103,2128,2129,2136,2139,2140,2147,2157,2166,2167,2168,2170,
2177,2179,2180,2185,2187,2196,2197,2202,2203,2208,2213,2230,2256,2294,2295,
2300,2301,2304,2307,2311,2312,2329,2330,2331,2332,2333,2350,2358,2360,2361,
2369,2370,2376,2387,2394,2397,2398,2400,2407,2408,2409,2418,2420,2455,2459,
2480,2527,2533,2540,2542,2547,2548,2549,2550,2553,2558,2564,2567,2568,2569,
2580,2581,2582,2588,2589,2591,2595,2616,2627,2629,2631,2632,2650,2651,2673,
2679,2681,2703,2706,2743,2745,2751,2758,2770,2782,2783,2787,2788,2832,2833,
2841,2850,2873,2875,2877,2880,2882,2883,2886,2887,2888,2895,2897,2902,2922,
2923,2929,2932,2946,2965,2967,2976,2978,2990,2992,2993,2994,3004,3011,3012,
3023,3026,3047,3048,3053,3056,3061,3064,3070,3082,3115,3116,3125,3152,3183,
3185,3186,3193,3194,3199,3200,3201,3208,3210,3211,3214,3216,3217,3229,3230,
3236,3253,3281,3300,3308,3311,3312,3317,3387,3389,3404,3409,3411,3417,3420,
3434,3439,3447,3470,3471,3477,3479,3480,3482,3486,3490,3493,3505,3506,3517,
3543,3546,3548,3571,3580,3584,3585,3605,3629,3631,3653,3656,3665,3674,3675,
3676,3681,3687,3692,3694,3697,3720,3757,3764,3776,3777,3814,3850,3870,3878,
3883,3885,3886,3894,3917,3930,3931,3972,3978,3981,3983,3985,3987,3989,3994,
4004,4005,4008,4009,4039,4055,4057,4062,4079,4084,4120,4125,4130,4132,4137,
4138,4141,4168,4200,4216,4221,4247,4250,4252,4253,4274,4278,4293,4303,4309,
4311,4353,4354,4363,4366,4374,4380,4396,4399,4402,4424,4430,4447,4453,4457,
4471,4478,4484,4494,4499,4517,4524,4535,4547,4555],[1,2,3,4,5,6,8,9,10,11,12,
13,14,15,16,17,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,40,41,
42,43,44,45,46,48,49,50,51,52,53,54,55,56,57,62,63,64,65,66,67,68,69,70,71,73,
74,75,76,77,78,79,80,81,82,85,86,87,88,89,90,91,92,93,96,99,100,101,102,103,
104,105,106,107,108,109,110,113,114,116,118,119,120,121,128,130,131,132,133,
134,135,136,137,138,139,140,141,143,144,145,147,148,153,155,156,157,158,159,
160,161,162,163,164,165,166,168,169,170,171,172,173,174,175,176,177,178,179,
180,181,182,183,184,185,186,187,188,189,190,191,192,194,195,197,199,200,201,
202,204,205,206,207,208,209,212,213,214,215,216,218,219,220,221,227,228,229,
230,231,232,233,234,236,237,238,239,240,241,242,243,244,245,246,247,248,249,
254,255,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,
274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,300,301,
302,303,304,305,316,326,327,328,329,330,331,332,336,337,338,339,340,343,344,
346,347,350,351,352,356,357,358,361,362,363,366,367,368,369,371,372,378,379,
380,381,382,383,384,385,386,387,388,389,390,391,392,403,405,406,407,408,409,
411,412,413,414,415,416,417,418,419,420,422,423,424,425,426,427,428,429,430,
431,433,434,436,438,439,440,442,444,445,446,447,448,449,450,451,452,453,454,
455,456,457,458,459,460,464,468,469,471,472,474,475,476,477,478,479,480,481,
482,483,484,485,486,487,488,489,490,491,492,493,494,495,497,498,500,501,502,
503,504,505,506,507,508,509,510,511,512,513,520,521,522,523,524,525,526,527,
528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,
547,548,549,550,551,552,553,554,555,556,557,559,560,561,562,564,565,566,569,
570,571,572,573,574,575,576,577,578,579,581,582,583,584,585,586,587,588,589,
590,591,592,593,594,595,597,598,599,600,601,602,603,604,605,606,607,608,609,
611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,629,634,
638,643,644,645,646,647,648,649,650,651,652,653,655,656,658,659,660,661,663,
664,665,667,668,671,684,685,686,687,688,689,690,691,692,693,694,695,696,697,
698,699,700,701,702,703,704,716,717,718,719,720,721,722,723,724,734,737,740,
741,742,743,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,772,
773,774,778,783,784,785,786,787,788,796,799,800,801,802,803,804,805,806,809,
810,811,812,813,814,815,816,821,828,829,835,837,844,848,849,850,851,852,857,
865,866,867,868,873,876,877,878,879,880,881,882,883,884,885,886,887,888,889,
890,891,892,893,894,895,902,903,906,907,911,915,916,917,918,919,922,923,924,
925,926,927,929,930,931,932,933,934,935,936,937,938,939,942,943,945,946,947,
948,954,955,958,961,964,968,969,971,977,978,979,980,981,982,983,984,986,987,
988,989,990,991,992,993,994,997,998,1000,1003,1006,1007,1011,1012,1016,1017,
1019,1020,1021,1022,1027,1028,1029,1031,1033,1034,1037,1038,1039,1040,1041,
1045,1046,1047,1048,1049,1050,1051,1052,1053,1055,1058,1059,1060,1066,1067,
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,
1098,1103,1104,1111,1114,1115,1116,1117,1118,1119,1121,1122,1123,1124,1125,
1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,
1142,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,
1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,
1173,1174,1175,1176,1177,1178,1179,1180,1181,1183,1184,1185,1186,1187,1188,
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,
1264,1265,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1279,1280,1281,
1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,
1300,1305,1309,1310,1311,1316,1317,1318,1324,1325,1326,1330,1334,1335,1336,
1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1349,1351,1352,1353,1354,
1356,1357,1361,1362,1364,1366,1367,1368,1369,1370,1371,1374,1375,1376,1377,
1378,1380,1383,1388,1389,1390,1391,1392,1393,1394,1395,1408,1413,1414,1417,
1427,1431,1432,1433,1435,1436,1437,1446,1447,1448,1449,1456,1457,1458,1459,
1460,1461,1462,1463,1467,1468,1471,1487,1488,1489,1492,1493,1503,1512,1513,
1514,1515,1516,1518,1526,1527,1528,1532,1533,1535,1536,1537,1538,1539,1540,
1541,1542,1543,1544,1552,1554,1555,1556,1559,1562,1563,1564,1565,1566,1567,
1568,1571,1577,1579,1580,1584,1585,1586,1587,1588,1589,1592,1593,1602,1603,
1604,1606,1607,1608,1609,1610,1613,1614,1617,1618,1619,1620,1621,1622,1623,
1624,1625,1626,1627,1628,1629,1630,1631,1632,1633,1634,1635,1639,1642,1643,
1644,1646,1647,1648,1653,1654,1655,1658,1659,1665,1666,1668,1669,1672,1674,
1675,1676,1678,1680,1682,1684,1685,1689,1691,1694,1695,1699,1702,1703,1704,
1708,1709,1715,1719,1721,1722,1723,1724,1725,1726,1730,1732,1735,1739,1742,
1743,1752,1753,1754,1755,1759,1760,1761,1775,1776,1777,1778,1781,1782,1783,
1784,1791,1797,1798,1799,1801,1803,1804,1805,1806,1807,1808,1810,1811,1812,
1813,1814,1815,1816,1817,1818,1819,1824,1825,1826,1829,1830,1832,1833,1840,
1841,1842,1843,1845,1846,1847,1851,1852,1853,1854,1855,1856,1857,1858,1859,
1860,1861,1862,1863,1864,1866,1867,1870,1871,1872,1873,1874,1875,1876,1877,
1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,1898,
1899,1902,1904,1907,1910,1911,1912,1913,1914,1915,1916,1917,1918,1920,1921,
1922,1923,1924,1925,1926,1927,1928,1929,1930,1931,1932,1933,1934,1935,1936,
1937,1938,1939,1942,1943,1944,1945,1946,1947,1948,1950,1952,1953,1954,1955,
1957,1958,1959,1960,1961,1962,1963,1964,1965,1966,1967,1968,1969,1970,1972,
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,
2018,2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2032,2033,2034,2035,
2036,2037,2038,2039,2040,2041,2042,2043,2044,2046,2047,2048,2049,2050,2051,
2052,2053,2054,2055,2056,2057,2058,2059,2060,2061,2066,2070,2071,2072,2073,
2074,2077,2078,2079,2080,2081,2082,2083,2086,2087,2090,2091,2092,2097,2098,
2103,2110,2116,2117,2120,2123,2125,2127,2128,2129,2130,2136,2137,2138,2139,
2140,2141,2147,2154,2155,2157,2158,2161,2163,2164,2165,2166,2167,2168,2169,
2170,2175,2176,2177,2178,2179,2180,2181,2185,2186,2187,2188,2192,2193,2196,
2197,2198,2202,2203,2204,2208,2209,2210,2211,2212,2213,2216,2217,2220,2221,
2226,2227,2230,2236,2238,2245,2246,2256,2257,2258,2259,2267,2268,2274,2282,
2285,2294,2295,2300,2301,2304,2305,2307,2309,2310,2311,2312,2313,2314,2315,
2316,2317,2318,2319,2320,2321,2322,2323,2324,2329,2330,2331,2332,2333,2334,
2335,2342,2343,2344,2345,2346,2350,2352,2353,2354,2355,2357,2358,2360,2361,
2362,2363,2364,2365,2367,2369,2370,2373,2374,2376,2377,2378,2379,2380,2381,
2382,2383,2384,2385,2387,2389,2390,2391,2392,2393,2394,2395,2397,2398,2400,
2403,2404,2405,2406,2407,2408,2409,2411,2412,2413,2414,2415,2416,2417,2418,
2420,2421,2423,2425,2427,2428,2429,2430,2432,2433,2435,2436,2438,2439,2441,
2444,2445,2446,2447,2452,2453,2455,2458,2459,2462,2465,2466,2467,2473,2474,
2480,2481,2488,2489,2491,2506,2507,2521,2524,2525,2526,2527,2533,2534,2538,
2540,2542,2547,2548,2549,2550,2551,2552,2553,2554,2557,2558,2560,2562,2563,
2564,2565,2566,2567,2568,2569,2574,2575,2576,2577,2578,2579,2580,2581,2582,
2583,2584,2585,2586,2587,2588,2589,2591,2592,2593,2595,2596,2597,2598,2605,
2609,2610,2611,2612,2615,2616,2617,2623,2625,2626,2627,2628,2629,2630,2631,
2632,2640,2641,2645,2647,2648,2650,2651,2652,2653,2654,2655,2656,2657,2658,
2659,2660,2661,2662,2664,2665,2666,2667,2668,2669,2670,2671,2672,2673,2674,
2675,2676,2679,2680,2681,2682,2683,2684,2685,2686,2687,2688,2692,2693,2694,
2695,2696,2697,2698,2699,2700,2701,2702,2703,2704,2705,2706,2707,2710,2711,
2712,2713,2714,2715,2718,2719,2720,2721,2722,2723,2724,2725,2727,2728,2729,
2730,2743,2744,2745,2746,2747,2748,2749,2751,2758,2759,2760,2761,2765,2767,
2770,2782,2783,2787,2788,2789,2790,2791,2799,2809,2811,2816,2817,2820,2822,
2823,2824,2832,2833,2834,2835,2840,2841,2843,2845,2850,2851,2867,2873,2875,
2876,2877,2878,2879,2880,2881,2882,2883,2884,2885,2886,2887,2888,2889,2890,
2891,2892,2895,2896,2897,2898,2902,2903,2905,2906,2908,2909,2912,2913,2918,
2919,2920,2921,2922,2923,2929,2931,2932,2935,2936,2946,2947,2963,2965,2966,
2967,2970,2971,2972,2976,2977,2978,2982,2984,2986,2989,2990,2991,2992,2993,
2994,2995,3000,3001,3004,3007,3008,3010,3011,3012,3014,3015,3017,3018,3019,
3021,3023,3024,3025,3026,3027,3030,3031,3032,3033,3034,3035,3036,3037,3038,
3039,3040,3044,3045,3046,3047,3048,3050,3051,3052,3053,3056,3058,3061,3064,
3065,3066,3070,3071,3073,3074,3076,3078,3079,3082,3083,3085,3089,3090,3092,
3093,3095,3096,3097,3098,3099,3100,3101,3102,3103,3105,3106,3108,3111,3114,
3115,3116,3125,3126,3144,3150,3152,3175,3177,3178,3182,3183,3185,3186,3187,
3188,3190,3191,3192,3193,3194,3199,3200,3201,3202,3203,3205,3208,3209,3210,
3211,3214,3215,3216,3217,3220,3221,3222,3223,3224,3225,3227,3228,3229,3230,
3233,3234,3235,3236,3237,3238,3239,3240,3253,3254,3255,3256,3257,3259,3260,
3271,3279,3281,3282,3283,3284,3285,3286,3289,3290,3291,3292,3293,3294,3295,
3296,3297,3300,3301,3302,3308,3311,3312,3317,3321,3322,3328,3336,3344,3345,
3347,3348,3361,3362,3363,3370,3371,3377,3378,3382,3384,3385,3386,3387,3389,
3401,3402,3404,3405,3406,3407,3408,3409,3411,3412,3415,3417,3418,3419,3420,
3421,3422,3423,3424,3433,3434,3436,3437,3439,3440,3442,3444,3446,3447,3448,
3449,3450,3451,3455,3456,3466,3467,3468,3469,3470,3471,3477,3479,3480,3482,
3484,3486,3487,3490,3493,3496,3497,3501,3505,3506,3510,3511,3512,3513,3516,
3517,3522,3525,3527,3528,3529,3530,3531,3533,3537,3538,3539,3542,3543,3544,
3545,3546,3547,3548,3550,3554,3555,3556,3558,3560,3562,3563,3564,3565,3568,
3570,3571,3572,3575,3576,3579,3580,3581,3584,3585,3586,3587,3589,3590,3604,
3605,3606,3614,3629,3631,3643,3653,3656,3657,3662,3664,3665,3666,3667,3674,
3675,3676,3681,3687,3688,3689,3690,3691,3692,3693,3694,3697,3702,3703,3704,
3707,3709,3711,3712,3713,3714,3718,3719,3720,3721,3722,3723,3724,3727,3739,
3750,3751,3757,3759,3761,3764,3773,3776,3777,3780,3782,3783,3786,3787,3793,
3798,3807,3808,3812,3813,3814,3819,3821,3836,3837,3841,3847,3848,3849,3850,
3851,3854,3855,3869,3870,3871,3872,3873,3875,3877,3878,3881,3882,3883,3885,
3886,3889,3890,3894,3899,3903,3907,3909,3913,3917,3918,3919,3920,3922,3925,
3926,3927,3929,3930,3931,3932,3933,3934,3935,3951,3964,3966,3971,3972,3978,
3980,3981,3982,3983,3984,3985,3986,3987,3989,3990,3991,3994,3997,3998,4003,
4004,4005,4007,4008,4009,4010,4012,4018,4020,4021,4022,4037,4038,4039,4053,
4055,4057,4058,4059,4060,4062,4064,4067,4068,4071,4073,4079,4084,4085,4097,
4099,4120,4124,4125,4126,4129,4130,4132,4134,4137,4138,4141,4143,4144,4145,
4146,4147,4148,4149,4158,4164,4165,4166,4168,4192,4195,4198,4199,4200,4201,
4202,4204,4206,4207,4212,4213,4216,4217,4218,4219,4220,4221,4223,4224,4226,
4229,4235,4241,4242,4243,4244,4246,4247,4248,4250,4252,4253,4254,4255,4266,
4274,4276,4278,4283,4285,4287,4290,4293,4294,4296,4297,4300,4301,4302,4303,
4309,4310,4311,4331,4332,4339,4352,4353,4354,4356,4357,4358,4359,4362,4363,
4364,4366,4374,4377,4380,4382,4385,4392,4395,4396,4397,4398,4399,4400,4401,
4402,4424,4425,4427,4428,4429,4430,4432,4434,4443,4447,4448,4449,4450,4451,
4452,4453,4454,4457,4470,4471,4474,4478,4479,4480,4482,4483,4484,4494,4495,
4498,4499,4504,4508,4515,4516,4517,4518,4524,4528,4534,4535,4542,4547,4551,
4555,4556],[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,
26,27,28,29,31,32,33,34,35,36,38,39,40,41,42,44,45,46,47,48,49,50,51,52,53,54,
55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,
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,
124,125,126,127,128,129,130,132,133,134,136,137,138,139,140,141,143,144,145,
146,147,148,149,150,152,153,155,156,157,159,160,162,163,165,166,167,168,172,
173,174,177,178,179,180,182,183,184,185,186,187,188,189,190,195,196,197,198,
199,200,201,204,206,207,208,209,212,214,215,216,218,219,220,221,222,223,224,
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,
358,359,360,361,362,363,364,365,366,367,369,370,371,373,374,375,376,377,378,
379,380,381,382,383,384,385,386,387,388,389,393,394,395,396,397,398,399,400,
401,402,403,404,405,409,410,411,414,415,416,418,419,420,423,428,429,433,434,
436,438,439,440,442,445,446,447,448,449,450,451,452,453,454,455,456,457,459,
460,461,462,463,464,465,466,468,470,471,474,479,480,481,482,483,484,485,486,
487,488,489,494,497,498,500,501,502,503,504,505,507,508,509,510,511,512,513,
514,515,516,517,518,519,520,521,522,524,526,527,528,536,547,548,549,550,551,
552,553,554,555,556,557,559,560,561,562,563,565,566,567,568,569,573,574,575,
576,577,581,582,586,590,591,592,593,595,597,602,603,604,607,608,609,611,613,
616,617,618,619,622,623,625,627,629,630,631,632,633,634,635,636,637,638,639,
640,641,642,643,645,649,650,651,652,656,658,660,661,663,665,666,667,668,669,
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,
841,842,843,844,845,846,847,848,849,850,852,853,854,855,856,857,865,866,867,
868,869,870,871,873,875,876,877,878,879,880,881,882,883,884,891,892,893,894,
895,896,897,898,899,900,901,902,904,906,908,909,910,911,915,918,919,924,927,
928,929,930,939,942,943,945,946,947,949,950,954,955,958,961,971,984,986,987,
994,997,998,1007,1011,1017,1021,1022,1027,1029,1031,1033,1034,1037,1038,1039,
1040,1041,1042,1043,1045,1047,1048,1049,1050,1051,1053,1054,1055,1056,1057,
1058,1059,1060,1061,1062,1064,1065,1067,1069,1070,1071,1072,1073,1074,1075,
1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,
1091,1092,1093,1094,1098,1099,1100,1101,1102,1104,1106,1107,1108,1109,1110,
1111,1112,1113,1115,1116,1117,1118,1125,1126,1134,1135,1139,1140,1141,1144,
1156,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1181,1183,1185,1191,
1192,1202,1203,1206,1207,1208,1215,1216,1217,1225,1226,1227,1231,1232,1233,
1243,1245,1246,1254,1256,1263,1264,1266,1270,1271,1275,1276,1277,1278,1280,
1282,1288,1290,1291,1292,1294,1295,1297,1298,1299,1301,1302,1303,1304,1305,
1306,1307,1308,1310,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,
1323,1325,1327,1328,1329,1330,1331,1332,1333,1334,1335,1342,1343,1344,1345,
1346,1347,1348,1349,1350,1351,1352,1353,1356,1357,1358,1360,1361,1363,1364,
1366,1370,1371,1373,1374,1376,1378,1379,1381,1383,1387,1388,1389,1390,1391,
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,
1512,1513,1514,1515,1517,1518,1526,1527,1528,1529,1530,1531,1535,1536,1537,
1538,1539,1540,1541,1542,1543,1545,1546,1547,1548,1549,1550,1552,1554,1556,
1560,1561,1562,1564,1566,1567,1568,1569,1570,1571,1577,1579,1580,1581,1582,
1584,1586,1588,1589,1590,1591,1592,1593,1594,1595,1602,1605,1606,1607,1608,
1609,1612,1613,1614,1617,1618,1626,1627,1628,1629,1630,1631,1632,1633,1639,
1640,1641,1642,1644,1645,1646,1647,1648,1653,1654,1655,1658,1659,1665,1666,
1668,1669,1672,1674,1678,1680,1682,1684,1685,1689,1691,1694,1695,1697,1698,
1699,1702,1703,1704,1708,1709,1721,1726,1730,1752,1753,1778,1781,1782,1790,
1791,1792,1793,1794,1795,1796,1797,1799,1801,1804,1807,1808,1810,1811,1812,
1817,1818,1819,1820,1821,1822,1823,1824,1826,1827,1828,1830,1832,1833,1834,
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,
1865,1873,1874,1875,1876,1877,1878,1879,1880,1881,1882,1883,1884,1885,1886,
1887,1888,1889,1891,1892,1893,1894,1895,1897,1899,1900,1901,1902,1903,1904,
1905,1906,1907,1908,1909,1910,1911,1912,1913,1914,1915,1916,1917,1922,1925,
1934,1935,1936,1937,1938,1939,1940,1944,1947,1948,1949,1952,1953,1954,1955,
1956,1957,1958,1970,1971,1972,1973,1981,1988,1990,2009,2011,2017,2019,2020,
2021,2032,2036,2044,2045,2052,2060,2062,2063,2064,2065,2067,2068,2069,2070,
2075,2076,2077,2078,2079,2080,2081,2082,2083,2084,2086,2087,2089,2093,2094,
2096,2097,2099,2100,2103,2109,2128,2129,2131,2132,2133,2134,2135,2136,2139,
2140,2142,2143,2144,2145,2146,2147,2149,2157,2159,2160,2164,2166,2167,2168,
2169,2170,2171,2172,2173,2174,2175,2176,2177,2179,2180,2181,2182,2183,2184,
2185,2187,2189,2195,2196,2197,2201,2202,2203,2207,2208,2211,2213,2215,2216,
2218,2219,2220,2222,2223,2224,2225,2226,2230,2236,2238,2240,2241,2242,2243,
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,
2289,2290,2291,2292,2293,2294,2295,2296,2300,2301,2302,2303,2304,2305,2307,
2311,2312,2322,2323,2324,2325,2326,2327,2328,2329,2330,2331,2332,2333,2345,
2346,2347,2348,2350,2352,2353,2354,2355,2358,2360,2361,2362,2363,2364,2365,
2369,2370,2373,2374,2376,2377,2378,2379,2380,2381,2382,2383,2384,2386,2387,
2394,2395,2396,2397,2398,2400,2407,2408,2409,2410,2412,2418,2420,2421,2422,
2428,2429,2430,2432,2433,2435,2436,2438,2439,2444,2445,2446,2447,2452,2453,
2455,2459,2460,2461,2462,2465,2480,2481,2521,2527,2532,2533,2535,2536,2537,
2539,2540,2541,2542,2543,2544,2545,2546,2547,2548,2549,2550,2553,2558,2564,
2567,2568,2569,2570,2573,2580,2581,2582,2588,2589,2591,2592,2594,2595,2596,
2597,2598,2599,2600,2601,2602,2603,2604,2606,2607,2608,2609,2610,2611,2612,
2613,2614,2616,2617,2618,2619,2620,2621,2622,2623,2624,2625,2627,2629,2631,
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,
2670,2671,2673,2677,2678,2679,2681,2687,2688,2689,2690,2691,2692,2693,2703,
2706,2708,2709,2715,2716,2717,2726,2731,2732,2733,2734,2735,2736,2737,2738,
2739,2740,2741,2742,2743,2744,2745,2746,2747,2748,2749,2750,2751,2752,2753,
2754,2755,2758,2762,2764,2770,2775,2782,2783,2784,2785,2787,2788,2792,2793,
2794,2799,2800,2811,2812,2827,2832,2833,2838,2839,2841,2842,2843,2844,2845,
2848,2850,2852,2869,2872,2873,2875,2877,2879,2880,2882,2883,2886,2887,2888,
2890,2891,2892,2893,2894,2895,2897,2902,2903,2917,2922,2923,2928,2929,2932,
2933,2934,2935,2937,2938,2939,2941,2946,2947,2949,2950,2951,2952,2953,2954,
2955,2956,2957,2958,2959,2960,2961,2962,2963,2965,2966,2967,2968,2969,2970,
2976,2977,2978,2979,2980,2981,2984,2985,2986,2987,2990,2992,2993,2994,3000,
3001,3002,3003,3004,3005,3006,3011,3012,3023,3024,3025,3026,3027,3047,3048,
3049,3050,3053,3056,3061,3064,3070,3082,3096,3097,3098,3099,3100,3101,3102,
3103,3105,3106,3107,3108,3115,3116,3125,3126,3150,3152,3153,3154,3155,3158,
3159,3160,3161,3162,3163,3164,3165,3166,3167,3170,3171,3183,3184,3185,3186,
3187,3191,3193,3194,3195,3196,3197,3198,3199,3200,3201,3203,3204,3208,3210,
3211,3212,3214,3216,3217,3218,3221,3226,3229,3230,3231,3232,3236,3244,3245,
3246,3247,3248,3249,3250,3251,3252,3253,3254,3258,3259,3260,3261,3262,3263,
3264,3265,3266,3267,3268,3269,3270,3271,3272,3273,3274,3275,3276,3277,3278,
3279,3280,3281,3287,3288,3290,3291,3298,3299,3300,3301,3302,3303,3305,3308,
3311,3312,3314,3315,3317,3319,3328,3329,3336,3337,3346,3347,3348,3349,3371,
3374,3375,3377,3378,3381,3382,3383,3387,3388,3389,3390,3391,3394,3395,3396,
3404,3409,3411,3412,3417,3420,3423,3424,3434,3436,3439,3442,3447,3449,3470,
3471,3472,3474,3475,3476,3477,3479,3480,3482,3486,3489,3490,3491,3493,3494,
3495,3496,3497,3498,3499,3500,3502,3503,3504,3505,3506,3507,3508,3509,3510,
3511,3512,3513,3517,3518,3519,3520,3521,3522,3523,3524,3525,3533,3534,3535,
3536,3537,3538,3539,3540,3541,3543,3546,3548,3549,3571,3580,3581,3582,3584,
3585,3586,3590,3604,3605,3608,3609,3610,3611,3612,3613,3615,3616,3621,3622,
3623,3624,3625,3626,3629,3630,3631,3632,3634,3635,3636,3638,3639,3644,3646,
3647,3653,3654,3655,3656,3658,3659,3660,3661,3663,3664,3665,3666,3667,3668,
3669,3670,3671,3672,3673,3674,3675,3676,3677,3679,3681,3682,3683,3685,3687,
3690,3692,3694,3696,3697,3698,3699,3701,3703,3705,3707,3710,3713,3715,3716,
3717,3720,3725,3726,3727,3731,3732,3733,3734,3735,3736,3737,3738,3739,3740,
3741,3742,3743,3744,3745,3746,3747,3748,3749,3751,3753,3754,3757,3764,3765,
3776,3777,3781,3782,3783,3784,3786,3787,3788,3789,3792,3793,3798,3799,3814,
3850,3851,3866,3867,3868,3870,3873,3878,3879,3883,3884,3885,3886,3887,3888,
3891,3892,3893,3894,3895,3896,3897,3898,3899,3900,3901,3902,3903,3904,3905,
3906,3907,3908,3909,3910,3911,3912,3913,3914,3915,3916,3917,3921,3923,3924,
3930,3931,3932,3934,3939,3953,3955,3956,3959,3960,3961,3962,3963,3967,3968,
3969,3970,3972,3973,3974,3975,3978,3979,3981,3982,3983,3985,3987,3988,3989,
3990,3991,3992,3993,3994,4001,4004,4005,4006,4007,4008,4009,4011,4012,4015,
4018,4020,4023,4025,4027,4030,4032,4034,4035,4036,4037,4039,4040,4041,4043,
4045,4046,4047,4049,4051,4052,4055,4057,4062,4063,4072,4073,4079,4084,4085,
4099,4103,4110,4111,4112,4113,4114,4117,4120,4121,4123,4125,4127,4130,4131,
4132,4133,4135,4137,4138,4139,4140,4141,4142,4152,4153,4154,4155,4156,4157,
4158,4159,4160,4161,4162,4163,4166,4168,4170,4175,4178,4179,4181,4182,4184,
4185,4195,4198,4199,4200,4201,4216,4221,4222,4223,4224,4226,4229,4231,4236,
4239,4240,4245,4247,4250,4251,4252,4253,4266,4267,4270,4271,4272,4274,4275,
4278,4280,4288,4292,4293,4295,4298,4303,4304,4306,4307,4308,4309,4311,4313,
4317,4318,4339,4345,4346,4347,4349,4350,4351,4353,4354,4355,4356,4359,4360,
4361,4363,4366,4373,4374,4375,4376,4380,4381,4382,4383,4385,4386,4394,4396,
4399,4402,4405,4407,4409,4417,4419,4420,4421,4423,4424,4425,4426,4427,4430,
4432,4434,4437,4439,4443,4444,4447,4453,4456,4457,4458,4464,4465,4469,4470,
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,240,48,16,8,8,16,16,8,8,8],[194594400,5760,4320,96,32,240,48,16,8,8,16,16,8,8
,8],[194594400,2880,7200,720,96,16,64,8,8,8,48,16,16,8,8],[194594400,2880,7200
,720,96,16,64,8,8,8,48,16,16,8,8],[194594400,5760,4320,96,32,240,48,16,8,8,16,
16,16,8],[194594400,10080,1440,96,240,48,240,16,16,16,32,16],[194594400,5760,
4320,96,32,720,16,16,16,720,16,16,16],[194594400,181440,5760,1440,480,32,480,
32,16,16,16,480,16,16],[194594400,181440,2880,4320,720,480,16,240,48,120,8,8,
16,32,16,8,8],[194594400,2880,7200,720,96,16,480,32,8,8,8,16,240,16,8,8],[
194594400,362880,4320,272160,720,1440,2520,216,720,72,72,72],[194594400,362880
,4320,7560,1440,216,7560,72,72,720,72,72],[194594400,272160,4320,1440,272160,
288,288,240,48,288,48,48,48],[194594400,272160,1440,4320,1440,96,288,64,96,64,
32,32,32],[194594400,90720,1440,7200,480,192,96,32,240,48,32,32,16,16,32,16],[
194594400,272160,1440,4320,1440,96,288,480,32,96,480,32,32,32,32],[194594400,
272160,1440,4320,1440,96,288,288,96,16,48,32,16],[194594400,181440,2880,4320,
240,480,192,96,32,2520,216,16,16,24,24,48,8],[194594400,362880,4320,7560,1440,
216,2520,216,72,72,48,24],[194594400,272160,1440,4320,1440,96,288,5040,144,96,
240,48,48,16,16],[194594400,90720,4320,4320,720,288,48,64,48,32,32,16,16],[
194594400,90720,7200,1440,96,192,144,32,240,48,16,16,16,16,16,8],[194594400,
90720,4320,4320,720,288,48,480,32,48,240,32,16,16,16],[194594400,90720,1440,
1440,96,720,48,720,48,48,48],[194594400,90720,1440,1440,96,240,80,48,48,32,16,
32,16],[194594400,181440,1440,480,5040,144,480,480,48,48],[194594400,181440,
1440,480,7560,216,240,24,24,24],[194594400,4320,96,720,48,48,24],[194594400,
90720,1440,1440,96,288,240,16,16,16,8],[194594400,181440,1440,480,5040,144,32,
32,48,16],[194594400,181440,1440,480,2520,360,24,24,16,8],[194594400,181440,
1440,480,480,480,24,24],[194594400,90720,1440,1440,96,240,16,16,8,8],[
194594400,4320,96,240,16,16,8,8],[194594400,181440,1440,480,32,32,8,8],[
194594400,4320,96,240,16,16,24,8],[194594400,90720,1440,1440,96,240,16,16,24,8
],[194594400,7200,72,720,12,720,12,12],[194594400,7200,72,48,4,48,4,4],[
194594400,7200,72,48,4,48,4,4],[194594400,7200,72,240,32,12,16,12,4],[
194594400,12960,1440,72,240,240,12,12,12],[194594400,5760,7200,72,32,240,16,12
,12,4],[194594400,5760,7200,72,32,16,16,4,4,4],[194594400,5760,7200,72,32,16,
16,4,4,4],[172972800,725760,1209600,10080,80640,10080,10080,10080],[172972800,
11520,604800,5040,432,720,576,144,144,144],[172972800,11520,864,96,288,96],[
172972800,11520,1209600,10080,1152,96,10080,96],[172972800,11520,10080,216,288
,72,72,72],[172972800,11520,864,288,288,288],[172972800,11520,604800,5040,432,
1920,144,48,144,48],[172972800,11520,864,48,216,24],[172972800,11520,864,48,
216,24],[172972800,11520,10080,216,96,24,72,8],[172972800,11520,604800,216,216
,576,12,24,54,6],[172972800,11520,5040,108,432,48,24,12,18,2],[172972800,11520
,15120,216,144,12,216,12],[172972800,11520,604800,5040,432,576,48,24,144,8],[
172972800,3840,1209600,10080,240,240,10080,240],[172972800,241920,1209600,
10080,13440,2880,10080,240],[172972800,3840,1209600,10080,48,48,10080,48],[
172972800,3840,1209600,10080,192,384,10080,48],[172972800,3840,604800,5040,432
,192,240,144,48],[172972800,3840,15120,216,24,240,216,24],[172972800,241920,
604800,5040,432,1680,2880,144,48],[172972800,241920,604800,5040,432,13440,144,
144,24],[172972800,3840,604800,5040,432,240,384,144,24],[172972800,3840,15120,
216,240,12,216,12],[172972800,3840,604800,5040,432,16,384,144,16],[172972800,
3840,604800,5040,432,640,48,144,16],[172972800,3840,15120,216,8,48,216,8],[
172972800,241920,10080,216,1680,144,72,12],[172972800,3840,10080,216,48,48,72,
12],[172972800,3840,10080,216,12,12,72,12],[172972800,3840,10080,216,12,12,72,
12],[172972800,3840,5040,108,432,48,12,18,6],[172972800,3840,5040,108,432,12,
48,18,6],[172972800,3840,864,24,12,216,6],[172972800,3840,864,24,12,216,6],[
172972800,3840,604800,216,216,192,12,54,6],[172972800,3840,604800,216,216,24,
384,54,6],[172972800,3840,864,4,12,288,4],[172972800,3840,324,216,4,12,9,1],[
172972800,80640,1209600,10080,1920,96,10080,96],[172972800,80640,864,288,288,
96],[172972800,80640,15120,216,72,144,216,72],[172972800,80640,604800,5040,432
,960,144,48,144,48],[172972800,1280,604800,5040,432,128,80,8,144,8],[172972800
,1280,10080,216,32,8,72,8],[172972800,11520,216,72,36,36],[172972800,11520,216
,24,36,12],[172972800,80640,216,72,36,12],[155675520,362880,10080,20160,20160,
720],[155675520,5760,960,20160,96,48],[155675520,362880,288,20160,20160,48],[
155675520,5760,64,20160,96,16],[155675520,5760,960,30,6,6],[155675520,5760,64,
30,6,2],[155675520,217728,217728,20160,288,288],[155675520,3456,576,20160,576,
96],[155675520,145152,1152,384,20160,192,192,64],[155675520,217728,6048,20160,
288,48],[155675520,72576,2304,192,20160,384,96,32],[155675520,362880,5760,1152
,384,20160,20160,192,192,192],[155675520,12672,384,20160,192,192,64],[
155675520,72576,5760,5760,384,20160,192,96,96,32],[155675520,72576,11520,960,
20160,192,96,96],[155675520,435456,5760,1920,20160,20160,96,96,96],[155675520,
72576,11520,384,20160,384,96,32],[155675520,5760,6912,64,20160,192,96,192,16],
[155675520,11520,1152,64,20160,384,192,32],[155675520,72576,11520,288,20160,
192,96,16],[155675520,6912,5760,64,30,10,6,2,2],[155675520,1152,64,20160,192,
32],[155675520,72576,288,20160,96,16],[155675520,1152,192,20160,192,32],[
155675520,72576,2016,20160,96,16],[148262400,30240,720,720],[148262400,1296,
720,18],[148262400,648,720,18],[148262400,518400,720,36],[148262400,4320,720,
36],[141523200,11520,5,5],[129729600,544320,1814400,181440,15120,5040,40320,
5040,181440,5040],[129729600,544320,15120,544320,5040,5040,5040,5040,5040,5040
],[129729600,544320,15120,181440,15120,5040,5040,5040,1080,360],[129729600,
181440,5760,15120,5040,480,5040,720,240,5040,240],[129729600,181440,5760,
1814400,181440,144,144,576,144,181440,144],[129729600,362880,2880,15120,480,
960,480,5040,240,120,120],[129729600,8640,15120,1920,480,720,480,120,120],[
129729600,181440,5760,15120,5040,480,144,48,48,5040,48],[129729600,181440,5760
,15120,5040,192,144,144,48,5040,48],[129729600,181440,5760,648,5040,480,5040,
72,240,72,24],[129729600,181440,5760,648,181440,144,144,72,144,54,18],[
129729600,8640,648,96,480,72,24,6,6],[129729600,181440,5760,15120,181440,144,
144,48,144,1080,8],[129729600,181440,5760,648,5040,192,144,24,48,72,8],[
129729600,5760,2880,15120,480,32,32,144,16,120,8],[129729600,8640,15120,480,
192,32,48,16,120,8],[129729600,181440,5760,324,5040,192,144,36,48,18,6],[
129729600,8640,324,1440,64,32,12,16,4,4],[129729600,5760,2880,324,64,32,480,36
,16,4,4],[129729600,181440,5760,648,5040,480,144,12,48,72,4],[129729600,5760,
2880,324,64,32,32,36,16,4,4],[129729600,5760,2880,324,64,32,32,36,16,4,4],[
129729600,181440,5760,324,181440,144,144,12,144,81,3],[129729600,8640,648,96,
32,12,8,6,2],[129729600,5760,2880,648,480,32,32,24,16,6,2],[129729600,181440,
5760,324,5040,480,144,12,48,18,2],[129729600,181440,5760,648,181440,144,144,12
,144,54,2],[129729600,8640,648,480,192,32,12,16,6,2],[129729600,8640,324,96,32
,12,8,3,1],[129729600,544320,453600,181440,15120,5040,20160,2160,5040,2160,720
,720,720],[129729600,60480,5760,1920,453600,192,48,5040,960,720,192,48,48,48,
720,48],[129729600,181440,5760,453600,5040,192,144,960,2160,48,144,48,16,16],[
129729600,60480,7680,453600,480,48,144,288,720,192,16,48,48,16,16],[129729600,
60480,7680,453600,160,144,144,288,720,192,16,16,16,16,8],[129729600,181440,
5760,453600,5040,480,5040,288,2160,240,144,48,720,48],[129729600,181440,5760,
3780,181440,144,144,360,108,144,108,36,36,36],[129729600,60480,7680,3780,480,
48,144,24,120,36,24,12,12,36,12],[129729600,423360,1920,453600,15120,160,144,
20160,720,192,48,16,720,16,16],[129729600,60480,7680,453600,160,144,5040,288,
720,192,48,16,16,720,16],[129729600,181440,5760,453600,181440,144,144,288,2160
,144,2160,16,16,16],[129729600,181440,5760,453600,5040,480,144,288,2160,48,144
,48,16,8],[129729600,181440,5760,3780,5040,192,144,72,108,48,36,12,36,12],[
129729600,60480,1920,5760,3780,64,144,144,24,36,24,8,4,4,36,4],[129729600,
60480,5760,1920,3780,192,48,144,72,120,36,8,12,12,4,4],[129729600,60480,1920,
5760,3780,64,144,144,360,36,24,8,4,36,4,4],[129729600,120960,5760,960,453600,
320,32,32,960,1440,96,16,32,16,16,8],[129729600,60480,5760,1920,453600,192,48,
144,960,720,192,8,48,48,16,8],[129729600,8640,453600,480,192,32,288,288,16,48,
32,16,8],[129729600,8640,453600,96,32,288,288,8,24,8,16,4],[129729600,60480,
7680,453600,160,144,144,288,720,192,24,16,16,16,8],[129729600,5760,2880,453600
,480,32,32,960,288,16,48,16,16,8],[129729600,181440,5760,162,181440,144,144,6,
162,144,162,6,6,6],[129729600,181440,5760,3780,181440,144,144,24,108,144,108,4
,4,4],[129729600,181440,5760,3780,5040,480,144,24,108,48,36,12,4,4],[129729600
,60480,5760,1920,162,192,48,144,12,54,6,8,6,6,6,2],[129729600,241920,2880,
1814400,181440,480,960,2880,480,181440,480],[129729600,362880,960,15120,20160,
960,240,960,5040,240],[129729600,181440,2880,960,1814400,181440,192,192,384,
192,181440,192],[129729600,6720,15120,3360,240,3360,120,120],[129729600,181440
,960,2880,15120,5040,192,144,48,48,5040,48],[129729600,241920,2880,15120,5040,
960,144,144,48,5040,48],[129729600,241920,2880,648,5040,960,144,216,48,72,24],
[129729600,241920,2880,15120,181440,480,960,144,480,1080,24],[129729600,362880
,960,648,20160,960,12,960,72,12],[129729600,3840,2880,15120,480,64,48,32,120,8
],[129729600,60480,2880,2880,15120,480,192,32,144,32,120,8],[129729600,181440,
2880,960,648,181440,192,192,12,192,54,6],[129729600,6720,648,192,96,12,32,6,2]
,[129729600,6720,648,3360,12,3360,6,6],[129729600,181440,960,2880,324,5040,192
,144,12,48,18,6],[129729600,181440,960,2880,324,960,64,192,12,64,4,4],[
129729600,3840,2880,324,64,64,12,64,4,4],[129729600,3840,2880,324,64,64,12,64,
4,4],[129729600,3840,2880,324,32,48,32,12,8,6,2],[129729600,5760,960,648,192,
32,12,16,3,1],[129729600,6720,453600,3360,672,3360,336,336],[129729600,362880,
960,453600,20160,960,4320,96,960,576,96,96],[129729600,241920,2880,453600,
181440,480,960,2880,288,480,2160,96,48,48],[129729600,241920,2880,453600,5040,
960,144,2880,288,48,144,144,96,48],[129729600,120960,4800,453600,960,640,320,
1440,480,320,96,32,64,32],[129729600,120960,4800,453600,320,320,96,48,1440,480
,16,96,32,48,32,16],[129729600,181440,2880,960,3780,181440,192,192,60,108,36,
192,108,12,12,12],[129729600,181440,960,2880,3780,5040,192,144,180,108,12,48,
36,36,12,12],[129729600,362880,8640,453600,181440,1440,2880,10080,432,2160,
1440,2160,144,144,144],[129729600,181440,8640,2880,453600,181440,576,576,1440,
144,2160,576,2160,144,144,144],[129729600,14400,453600,576,240,576,288,96,24,
96,24,24],[129729600,60480,2880,10560,453600,640,384,192,64,480,432,720,192,64
,16,48,64,48,16,16],[129729600,120960,5760,6720,453600,480,320,384,192,64,960,
288,1440,96,32,32,96,48,48,16,16],[129729600,241920,5760,4800,453600,160,960,
384,192,64,10080,960,144,720,192,32,16,192,48,48,16,16],[129729600,181440,2880
,8640,453600,192,64,288,96,10080,480,288,288,16,24,96,16,48,8,8],[129729600,
60480,2880,10560,453600,192,64,192,144,480,432,720,192,16,48,48,16,16,16,8],[
129729600,725760,2880,453600,50400,2880,30240,144,2160,2880,144,2160,144,144],
[129729600,423360,2880,4800,453600,15120,576,336,20160,480,144,720,192,144,48,
720,192,48,48,48],[129729600,181440,2880,8640,453600,5040,576,432,480,432,2160
,144,144,144,48,48],[129729600,302400,2880,6720,453600,2240,192,576,10080,480,
288,1440,96,192,32,96,96,32,96,32],[129729600,120960,12480,453600,320,384,576,
576,1440,96,64,32,64,64,32],[129729600,241920,10560,453600,960,384,480,10080,
432,720,192,64,48,64,48,48,16,16],[129729600,11520,2880,453600,480,192,1920,
288,96,48,96,48],[129729600,181440,8640,2880,453600,480,576,96,10080,1440,288,
96,48,288,48,48],[129729600,120960,11520,960,453600,320,768,64,1920,1440,96,64
,32,192,32,32],[129729600,5760,8640,453600,480,192,128,32,960,288,288,32,48,32
,32,16,16],[129729600,60480,8640,4800,453600,160,192,192,64,64,1440,144,720,
192,16,16,48,48,16,32,8],[129729600,181440,2880,8640,3780,5040,576,432,540,36,
108,144,36,108,36,36],[129729600,60480,960,12480,3780,64,64,288,144,360,24,60,
36,12,16,4,36,12,8,4,4],[129729600,241920,3840,6720,3780,480,960,256,192,64,
1260,180,36,12,60,36,12,32,4,60,12,12,4,4,12,4],[129729600,60480,2880,10560,
3780,192,64,192,144,180,36,24,120,36,16,12,12,12,8,4,4],[129729600,362880,8640
,3780,181440,1440,2880,1260,36,108,1440,108,36,36,36],[129729600,181440,8640,
2880,3780,181440,576,576,180,108,108,576,108,36,36,36],[129729600,60480,6720,
6720,3780,480,64,192,64,64,72,24,60,36,12,16,4,12,4,8,12,4],[129729600,241920,
7680,2880,3780,960,640,64,1260,72,12,36,24,64,4,12,4,24,12,4],[129729600,60480
,4800,8640,3780,480,192,64,64,64,180,36,24,36,24,16,4,4,12,8,12,4],[129729600,
362880,8640,453600,5040,2880,432,10080,432,2160,144,144,144,48,24],[129729600,
483840,6720,453600,15120,2240,432,20160,288,1440,96,144,32,720,96,48,16,16],[
129729600,181440,8640,2880,162,181440,576,576,18,18,162,576,162,18,18,18],[
129729600,120960,12480,453600,960,320,288,144,576,1440,96,48,32,96,32,16,16],[
129729600,241920,10560,453600,640,960,288,144,10080,432,720,192,48,16,48,48,48
,16,8],[129729600,362880,8640,3780,5040,2880,432,1260,36,108,144,36,36,12,12],
[129729600,241920,10560,3780,960,960,192,144,1260,360,12,120,36,48,12,120,36,
12,12,12],[129729600,11520,2880,81,480,96,27,3,9,48,3,9,3,3],[129729600,60480,
2880,10560,162,192,64,192,144,18,6,6,54,6,16,6,6,2,6,2,2],[129729600,960,15120
,480,240,480,120],[129729600,960,648,480,12,480,6],[129729600,960,648,32,12,32
,2],[129729600,960,648,32,12,32,2],[129729600,302400,453600,181440,5040,1680,
3600,1680,2160,144,48,48],[129729600,181440,1920,453600,181440,48,48,2160,192,
48,2160,48,48,48],[129729600,181440,1920,453600,5040,160,48,2160,192,16,144,16
,48,16],[129729600,60480,3840,453600,160,48,1680,720,384,16,48,16,48,16],[
129729600,4800,453600,960,160,480,160,96,16,16],[129729600,302400,3780,181440,
5040,1680,180,1680,108,36,12,12],[129729600,181440,1920,3780,181440,48,48,120,
108,48,108,12,12,12],[129729600,181440,1920,453600,5040,160,1680,2160,192,80,
144,16,48,8],[129729600,120960,2880,453600,480,320,160,1440,288,80,48,32,16,8]
,[129729600,60480,3840,453600,160,48,48,720,384,8,48,16,48,8],[129729600,4800,
453600,48,160,480,8,48,16,8],[129729600,181440,1920,162,181440,48,48,162,6,48,
162,6,6,6],[129729600,60480,1920,1920,3780,64,48,1680,120,36,24,16,12,4,12,4],
[129729600,181440,1920,3780,5040,64,48,108,24,16,36,4,12,4],[129729600,60480,
2880,2880,453600,192,5040,48,480,144,720,48,48,720,48,48],[129729600,60480,
2880,2880,453600,192,1680,144,480,144,720,48,48,16,48,16],[129729600,241920,
2880,453600,960,192,10080,144,720,32,48,16,48,16],[129729600,241920,2880,
453600,960,6720,10080,144,720,480,48,720,48,48],[129729600,181440,2880,960,
453600,192,160,32,10080,480,96,32,96,16,16,16],[129729600,6720,453600,192,160,
32,288,96,32,32,16,16,16],[129729600,60480,2880,2880,453600,192,192,480,144,
720,16,48,16,48,8],[129729600,60480,2880,2880,3780,192,1680,144,180,36,36,48,
12,36,12,12],[129729600,60480,2880,2880,3780,192,192,180,36,36,16,12,4,12,4],[
129729600,241920,2880,3780,960,192,1260,12,36,48,12,36,12,12],[129729600,
241920,2880,453600,960,1680,144,10080,144,720,48,48,16,48,8],[129729600,5760,
960,453600,32,160,32,960,96,16,16,16,16,8],[129729600,241920,2880,3780,960,
1680,144,1260,12,36,48,12,4,12,4],[129729600,60480,2880,2880,162,192,192,18,6,
54,16,6,6,6,2],[129729600,423360,5760,453600,15120,480,1680,20160,288,720,240,
720,48,48,48],[129729600,423360,5760,453600,15120,192,48,20160,960,720,48,720,
48,48,48],[129729600,60480,11520,453600,480,144,48,576,720,16,48,16,48,16],[
129729600,60480,5760,5760,453600,192,144,1680,960,288,720,48,48,16,48,16],[
129729600,11520,960,453600,64,160,1920,96,32,32,16,16],[129729600,60480,5760,
5760,3780,192,144,1680,360,72,36,48,36,12,12,12],[129729600,60480,5760,5760,
3780,192,144,48,72,24,36,8,12,4,12,4],[129729600,60480,11520,3780,480,144,48,
360,24,36,24,36,12,12,12],[129729600,60480,5760,5760,453600,192,144,48,960,288
,720,8,48,16,48,8],[129729600,5760,6720,453600,192,32,160,960,288,96,16,32,16,
16,8],[129729600,60480,11520,453600,480,144,1680,576,720,48,48,16,48,8],[
129729600,12480,453600,144,160,576,96,24,16,16,8],[129729600,60480,11520,3780,
480,144,1680,48,36,48,12,4,12,4],[129729600,60480,5760,5760,162,192,144,48,12,
6,54,8,6,6,6,2],[129729600,960,453600,480,96,480,48,48],[129729600,120960,960,
453600,320,64,1440,96,64,32,32,32],[129729600,120960,960,453600,320,5040,144,
1440,96,48,32,720,16,16],[129729600,2880,453600,480,64,288,32,48,32,16],[
129729600,120960,960,453600,320,288,1440,96,32,32,32,16],[129729600,120960,960
,453600,320,288,1440,96,48,32,32,16],[129729600,60480,960,960,3780,64,288,60,
36,12,16,4,36,4,4],[129729600,120960,960,453600,320,320,1440,96,320,32,32,32],
[129729600,120960,960,453600,320,3360,1440,96,160,32,96,16],[129729600,120960,
960,453600,320,96,1440,96,16,32,96,16],[129729600,120960,960,453600,320,1680,
48,1440,96,16,32,48,48,16],[129729600,2880,453600,480,320,288,160,48,32,16],[
129729600,60480,960,960,3780,64,1680,48,60,36,12,16,4,12,12,4],[129729600,960,
453600,160,64,96,32,32,16,16],[129729600,960,453600,160,96,24,16,8],[129729600
,960,453600,160,96,8,16,8],[124540416,32256,96,96],[119750400,11520,3,3],[
115315200,1209600,20160,576,20160,576,576,576],[115315200,20160,216,576,576,
144,72,72],[115315200,806400,10080,288,576,6720,192,96,144,48,48],[115315200,
403200,10080,144,1008,144,288,144,144,36,72,36],[115315200,403200,576,576,192,
144,48,48],[115315200,10080,1440,576,144,144],[115315200,10080,648,144,144,18,
18],[115315200,432,1008,192,144,12,12],[115315200,432,1008,192,144,12,12],[
115315200,10080,144,144,72,72],[115315200,10080,144,144,9,9],[115315200,576,
144,24,6,6],[115315200,576,144,24,6,6],[115315200,403200,144,144,36,24,6,6],[
111196800,155520,155520,540,36,36],[111196800,155520,4320,540,36,36],[
111196800,51840,11520,288,540,72,12,12],[111196800,51840,5760,5760,384,540,36,
36,12,12],[111196800,51840,11520,384,540,72,12,12],[111196800,51840,1440,540,
12,12],[111196800,51840,288,540,12,12],[103783680,241920,362880,13440,2880,
13440,240,240],[103783680,241920,3024,13440,144,13440,24,24],[103783680,3840,
362880,13440,384,64,240,16],[103783680,3840,3024,13440,48,128,24,8],[103783680
,3840,362880,20,384,4,20,4],[103783680,11520,3024,13440,144,384,24,24],[
103783680,11520,362880,13440,576,192,240,24],[103783680,11520,362880,20,1920,
20,20,20],[103783680,11520,3024,13440,48,192,24,8],[103783680,2304,3024,13440,
144,384,24,24],[103783680,145152,362880,13440,8064,192,240,24],[103783680,
145152,3024,13440,1008,192,24,8],[103783680,2304,362880,20,384,4,20,4],[
103783680,48384,362880,13440,576,64,240,16],[103783680,768,3024,13440,48,128,
24,8],[97297200,680400,720,10800,75600,10800,720,720,2160,10800,720,720,720,
2160,2160,720,720,720],[97297200,136080,15120,5040,136080,2520,1008,1008,1512,
504,2520,1008,504,504,504,504,504,504,504,504],[97297200,317520,6480,10800,
272160,2160,2880,3600,432,1296,864,288,144,2880,864,288,288,2160,432,144,144,
144,144,2160,288,144,144,144,144],[97297200,408240,2160,13680,136080,15120,
2160,5040,432,1008,144,144,1296,432,2160,720,144,144,144,144,144,432,144,432,
432,432,432,144,144,144,144,144],[97297200,226800,10800,7920,136080,720,1200,
1680,144,1008,1296,240,432,336,720,720,48,144,240,144,144,240,144,144,144,240,
48,144,144,144,96,48,48,96,48,48],[97297200,136080,9360,10800,2160,1440,720,
432,720,576,384,288,336,192,96,720,192,192,96,192,48,144,48,240,144,144,48,96,
48,96,48],[97297200,272160,9360,15120,5040,1440,720,720,5040,720,720,720,720,
720,720,720,720,720,720,720],[97297200,8640,5040,144,288,72,144,360,24,24,144,
24,24,24,24,24,360,24,24,24,24,24,24,24,24],[97297200,8640,5040,144,288,72,144
,360,24,24,144,24,24,24,24,24,360,24,24,24,24,24,24,24,24],[97297200,272160,
8640,720,15120,720,576,288,48,48,720,48,24,24,24,48,24,24,48,24,48,24,24,24,24
],[97297200,90720,5760,6480,720,480,240,96,144,160,48,240,96,16,48,16,16,16,16
,16,48,16,16,16,16,16,16,16,16,16,16,16],[97297200,90720,5760,6480,720,480,240
,96,144,160,48,240,96,16,48,16,16,16,16,16,48,16,16,16,16,16,16,16,16,16,16,16
],[97297200,4320,9360,2520,144,96,144,72,24,48,2520,24,24,12,24,24,12,12,24,24
,24,24,12,12,24,12,12,12,12],[97297200,5760,7920,720,144,64,72,128,120,40,24,
48,48,16,120,24,8,16,8,8,16,24,8,8,16,16,8,8,8,8,8,16,8,8,8,8,8,8],[97297200,
5760,7920,720,144,64,72,128,120,40,24,48,48,16,120,24,8,16,8,16,8,24,8,8,16,16
,8,8,8,8,8,16,8,8,8,8,8,8],[97297200,90720,8640,3600,240,96,192,288,144,112,
240,32,48,48,16,16,24,16,16,16,16,16,8,8,16,240,16,16,8,16,8,8,8,8,8,8,8,16,8]
,[97297200,7200,6480,360,144,32,144,72,136,240,32,24,48,48,24,8,12,8,8,16,8,8,
16,12,12,16,120,16,8,8,12,8,8,4,8,4,4,4,4,4,4,4,8,8,4],[97297200,90720,7200,
5040,360,240,96,192,32,144,144,104,120,40,48,16,24,16,8,12,60,8,16,8,8,4,4,12,
8,16,24,8,16,8,8,8,8,12,4,8,8,4,8,4,4,4,4,8,8,4,4,4,4,4],[97297200,90720,7200,
5040,360,240,96,192,32,144,144,104,120,40,48,16,24,16,8,12,60,16,8,8,8,4,4,12,
16,8,24,8,16,8,8,8,8,12,4,8,8,4,8,4,4,4,4,8,8,4,4,4,4,4],[97297200,272160,5760
,3600,15120,720,480,720,384,96,240,32,720,240,48,32,240,16,16,32,16,240,32,16,
16,240,32,16,16,16,16,16],[97297200,90720,2880,9360,2880,480,240,96,64,144,48,
240,32,2520,240,16,24,16,240,120,16,24,8,8,16,120,16,16,24,8,120,16,8,8,16,8,
16,8,8,8],[97297200,90720,5760,6480,720,240,96,192,64,144,96,480,16,16,48,16,
16,120,120,24,8,8,24,8,360,8,240,240,16,16,16,8,16,8,8,120,16,8,8,8],[97297200
,272160,9360,272160,4320,2160,2160,720,2520,2160,2160,720,360,360,2160,360,360
,360],[97297200,453600,6480,272160,15120,2160,2160,2640,5040,240,2160,720,2160
,5040,240,240,240,240,2160,240,240,240,240,240],[97297200,453600,6480,37800,
720,480,3600,360,144,240,3600,240,360,48,240,24,240,24,360,24,24,240,24,24],[
97297200,272160,9360,136080,3780,1320,2160,396,144,2520,72,240,1080,108,120,
120,72,24,12,24,240,120,12,108,120,12,12,24,12,12,12],[97297200,272160,2880,
6480,272160,2160,2160,2160,48,48,2160,2160,24,24,24,24,2160,24,24,24],[
97297200,90720,5760,6480,720,720,240,192,192,96,96,80,480,16,64,16,240,24,32,
16,32,8,16,8,240,8,16,120,8,8,16,8],[97297200,90720,2880,9360,2880,720,240,192
,192,96,96,32,240,32,2520,64,16,240,32,16,240,120,16,16,120,16,16,8,8,120,16,8
],[97297200,90720,2880,9360,720,720,240,288,192,96,96,144,32,5040,16,64,16,240
,16,32,16,48,48,16,240,16,16,240,16,16,16,16],[97297200,272160,9360,272160,
2160,2160,2160,96,144,144,16,2160,2160,16,144,16,16,16,16,2160,16,16,16,16,16]
,[97297200,272160,2880,6480,15120,720,720,720,192,192,96,96,32,144,240,720,64,
16,240,32,16,48,48,240,240,16,16,16,16,240,16,16],[97297200,453600,2880,3600,
37800,3600,192,360,16,144,16,3600,360,16,48,16,8,16,24,360,24,8,16,8,8],[
97297200,272160,9360,7560,720,480,2160,288,648,144,16,240,144,216,48,24,16,16,
24,72,8,8,24,16,8],[97297200,272160,2880,6480,7560,2160,288,192,648,16,144,240
,144,216,16,48,16,8,240,24,72,24,8,16,8,8],[97297200,181440,4320,6480,136080,
480,720,96,288,432,48,144,48,2520,72,240,360,288,24,16,48,24,72,24,24,8,16,240
,120,8,24,120,8,8,16,8,8,8],[97297200,362880,4320,3600,136080,15120,480,1200,
288,432,48,48,2520,72,16,360,720,288,24,48,24,2520,120,24,24,16,120,16,8,24,8,
8,8,120,16,8,8],[97297200,181440,1440,9360,3780,600,720,288,48,48,396,144,2520
,72,16,24,24,72,36,48,120,24,8,4,8,120,16,12,12,12,8,4,8,4,12,4],[97297200,
272160,9360,136080,3780,1320,2160,396,144,144,16,1080,108,120,72,24,8,12,8,16,
12,8,108,8,4,4,12,8,4,4],[97297200,181440,1440,9360,3780,600,720,288,48,48,396
,144,144,240,24,24,72,36,48,24,16,24,4,240,12,8,12,12,8,4,24,4,4,4],[97297200,
272160,2880,6480,7560,2160,288,648,48,48,48,144,216,24,24,24,72,12,24,12],[
97297200,272160,2880,6480,7560,2160,288,648,48,48,48,144,216,24,24,24,72,12,24
,12],[97297200,90720,2880,9360,720,720,240,288,192,96,96,144,32,144,16,64,16,
240,16,32,16,24,16,8,16,16,16,16,8,16,8,8],[97297200,272160,5760,3600,15120,
240,720,192,288,64,144,80,144,16,720,16,32,24,16,16,48,48,16,16,16,8,8,8,16,16
,8],[97297200,90720,5760,6480,240,240,96,192,288,64,144,144,80,144,240,16,32,
24,16,16,16,24,16,8,240,16,8,16,8,16,8,8],[97297200,181440,4320,6480,136080,
480,720,96,288,432,48,144,48,144,16,360,288,24,16,48,24,72,8,12,4,8,8,16,16,24
,8,8,4,4,8,8,4],[97297200,90720,5760,6480,240,240,96,192,288,64,144,144,80,
2520,72,16,16,32,24,16,16,16,24,24,12,4,8,8,120,16,8,8,8,8,4,4,8,8,4],[
97297200,4320,9360,3240,144,144,72,72,48,2520,36,72,24,24,24,36,12,24,12],[
97297200,90720,5760,6480,720,720,240,192,192,96,96,80,48,64,16,240,24,32,16,32
,8,8,16,24,16,8,8,8,16,8],[97297200,90720,5760,6480,720,720,240,192,192,96,96,
80,48,64,16,240,24,32,16,32,8,8,16,24,16,8,8,8,16,8],[97297200,7200,6480,1080,
144,144,72,120,240,32,36,24,72,16,16,16,8,8,8,120,16,36,8,4,8,8,8,4],[97297200
,272160,3600,15120,720,480,720,1200,720,240,240,240,480,240,240,240],[97297200
,90720,6480,2880,480,240,5040,720,2520,240,240,120,240,360,240,120,120,120],[
97297200,272160,3600,15120,720,480,720,288,240,720,240,240,240,48,48,240,24],[
97297200,272160,3600,15120,720,480,720,240,64,720,240,240,240,32,16,240,16],[
97297200,90720,2880,3600,720,480,240,48,5040,48,240,24,8,8,240,24,240,8,8,8],[
97297200,90720,6480,2880,480,240,144,240,32,2520,240,240,120,120,16,16,16,8,
120,8],[97297200,272160,2880,720,15120,720,192,16,288,16,720,16,16,16,48,48,16
,8],[97297200,90720,2880,3600,720,480,240,48,144,480,16,240,24,8,8,240,16,8,
120,16,8,8],[97297200,90720,6480,720,480,240,96,144,480,48,240,16,16,240,16,16
,120,8,16,8],[97297200,90720,6480,720,480,240,96,144,80,240,16,16,16,32,16,16,
16],[97297200,90720,6480,720,480,240,96,144,80,240,16,16,16,32,16,16,16],[
97297200,90720,6480,720,480,240,96,144,80,240,16,16,16,32,8,16,8],[97297200,
90720,2880,3600,720,480,240,48,144,48,240,24,8,8,16,24,16,8,8,8],[97297200,
90720,2880,3600,720,480,240,48,144,48,240,24,8,8,16,24,16,8,8,8],[97297200,
90720,2880,3600,240,96,192,144,16,240,64,16,16,16,240,32,8,16,8],[97297200,
90720,2880,3600,240,96,144,48,144,48,48,16,8,8,24,24,8,4,8,4],[97297200,90720,
2880,3600,240,96,144,48,144,48,48,16,8,8,24,24,8,4,8,4],[97297200,136080,2160,
720,136080,144,144,360,72,144,360,72,72,72,72,72,72,72,72,72],[97297200,317520
,720,5040,15120,2160,144,336,432,5040,144,720,144,48,144,144,720,144,48,48,48,
144,48,48,48],[97297200,226800,2160,5040,136080,720,1680,144,432,144,48,240,48
,720,144,48,48,144,240,48,48,48,48,48,48,48,48,48,48,48],[97297200,136080,6480
,2160,136080,360,432,432,216,72,240,48,432,72,72,120,48,48,24,24,24,72,48,24,
24,24,24],[97297200,226800,2160,5040,136080,720,1680,144,432,144,48,2520,216,
720,144,48,48,144,120,24,72,72,72,24,48,72,24,24,24,24],[97297200,136080,720,
2160,720,48,144,720,48,48,720,48,48,48,48,48,48],[97297200,136080,720,2160,720
,48,144,288,240,16,48,240,16,16,16,16,48,32,16,16,16,16],[97297200,136080,720,
2160,720,48,144,5040,144,240,16,48,240,240,16,16,16,48,48,16,16,16,48,16,16],[
97297200,136080,720,2160,720,48,144,5040,288,48,240,8,24,48,48,32,8,16,24,8,8]
,[97297200,362880,10800,272160,3780,2160,2880,3600,324,108,1260,108,2880,2160,
108,108,1260,108,36,36,36,36,36,2160,108,36,36,36,36,36,36],[97297200,544320,
7920,136080,37800,1080,5040,576,108,3780,36,1080,3600,432,108,3780,360,36,36,
36,360,36,360,108,360,36,36,36,36,36],[97297200,136080,10800,3600,136080,720,
720,720,432,144,120,24,720,144,144,120,24,24,24,24,24,24,144,24,24,24,24,24],[
97297200,45360,7920,7920,2520,240,96,336,96,80,72,248,32,2520,16,48,48,8,24,
168,168,16,16,16,16,16,16,8,8,16,16,8,168,8,8,16,8,8,8,8,8,8,8],[97297200,
45360,10800,5040,360,240,96,144,288,80,504,200,240,16,16,48,48,56,24,48,24,16,
16,72,16,16,32,16,8,8,120,16,8,8,8,24,8,16,16,8,8,8,8,8,8],[97297200,136080,
9360,5040,720,480,720,48,336,384,64,432,144,32,32,240,48,48,48,48,16,16,16,72,
16,16,16,16,8,8,16,16,8,16,24,8,16,8,8,8,8,8,8,8],[97297200,45360,9360,6480,
720,240,96,240,192,80,432,208,120,24,16,48,48,48,24,48,48,16,16,72,120,8,8,8,
16,8,8,8,8,8,8,8,8,8,24,4,4,8,8,8,4,4,4,4,4,4,4],[97297200,136080,10800,3600,
360,720,48,240,672,504,200,120,24,48,48,88,48,48,24,96,72,60,16,16,16,8,4,4,12
,4,4,8,8,8,8,48,24,4,4,8,8,8,4,4,4,4,4,4,4],[97297200,136080,6480,7920,480,720
,240,144,576,32,144,288,144,96,240,16,48,32,16,48,48,48,32,48,96,48,32,16,16,
240,16,16,16,48,16,32,16,16,16,16,16,16],[97297200,317520,6480,5040,15120,2160
,144,336,576,144,432,96,32,720,48,48,48,144,48,144,144,96,32,16,16,32,16,16,48
,48,32,16,16,16,16,16,16],[97297200,136080,3600,10800,720,960,720,240,336,192,
96,288,144,48,32,48,32,32,16,240,32,48,48,16,16,16,48,32,16,16,32,16,16,16,16,
32,16,16,16,16,16],[97297200,226800,6480,6480,136080,360,720,1680,144,720,432,
48,216,72,120,24,720,432,48,48,72,144,72,60,12,12,12,12,12,24,24,72,48,12,12,
12,12,24,12],[97297200,136080,5040,9360,360,480,720,240,240,96,96,72,288,144,
104,120,24,48,32,16,48,48,8,24,32,48,24,16,16,48,60,12,12,12,12,12,16,8,8,16,8
,16,8,4,8,8,8,8,4,4,4,8,8,4],[97297200,136080,720,13680,960,720,432,144,64,576
,288,240,16,96,64,32,64,48,96,48,16,240,16,16,16,32,48,16,16,16,16,16],[
97297200,317520,3600,7920,15120,720,480,2160,144,528,192,64,432,48,240,16,720,
32,240,144,48,144,144,48,16,16,16,240,16,16,16,240,16,16,16,48,16,240,16,16,16
,16,16,16,16],[97297200,272160,4320,7920,136080,3780,1200,2160,288,432,48,324,
108,48,1260,108,1080,288,24,108,48,24,108,60,36,36,12,12,36,36,108,24,12,12,12
,12,36,12],[97297200,136080,3600,10800,720,960,720,240,336,192,96,288,144,48,
2520,72,48,32,32,16,240,32,48,48,16,16,16,48,48,48,24,8,120,24,24,8,16,16,24,8
,8,8,16,8,8],[97297200,317520,3600,7920,15120,720,480,2160,144,528,192,64,432,
48,144,720,32,240,144,48,144,144,48,16,16,16,48,48,24,8,8,24,16,48,16,24,8,8,8
,16,8,8],[97297200,226800,2160,10800,136080,1200,1680,336,432,144,80,288,144,
144,720,144,48,80,48,16,32,144,48,144,16,24,8,8,24,16,48,16,24,8,8,8,8,16,8,8]
,[97297200,272160,4320,7920,136080,3780,720,1200,480,432,80,324,108,48,1260,
108,360,288,40,24,72,36,48,24,36,1260,108,12,12,24,24,12,8,8,12,12,24,12,24,12
,4,4,8,4,4,12,24,4,4],[97297200,181440,2880,10800,3780,720,960,720,192,384,96,
128,324,108,32,1260,108,64,32,24,240,72,36,32,16,36,60,24,24,12,12,12,24,4,8,
12,12,24,12,16,12,12,8,4,4,4,4,8,4,4],[97297200,272160,1440,10800,7560,360,
2160,288,288,48,48,864,108,3780,36,24,24,72,144,216,36,180,72,12,36,12,360,36,
72,12,36,24,12,12,36,12],[97297200,362880,10800,136080,7560,1080,3600,288,864,
108,1260,108,1080,144,288,108,1260,108,36,36,24,36,24,108,72,36,24,12,12,12,12
],[97297200,453600,1440,7920,37800,360,3600,288,48,48,576,108,1260,108,3600,24
,24,72,360,36,180,72,36,12,12,36,24,360,12,36,24,12,12,12,12],[97297200,317520
,720,10800,15120,480,2160,336,336,32,720,144,2520,72,720,48,32,16,144,80,144,
144,48,240,48,48,16,120,24,24,8,48,16,24,24,8,8,16,8,8],[97297200,408240,2160,
7920,136080,15120,720,3120,240,624,144,48,432,2520,72,720,720,144,48,48,144,48
,240,144,2520,120,72,24,24,24,24,8,120,24,24,8,48,48,120,24,24,8,8,8,8,8,8,8],
[97297200,136080,6480,7920,2880,480,720,48,528,192,64,192,240,16,2520,32,240,
48,168,192,16,16,16,240,120,16,16,8,8,8,120,16,8,8,168,16,120,8,8,16,8,8,8,8,8
,8],[97297200,272160,9360,15120,720,960,720,144,72,2520,72,240,720,240,24,240,
48,48,240,24,24,240,24,240,24,24,24,24,24],[97297200,2880,10800,336,216,48,360
,24,72,48,36,24,12,24,24,12,24,12,12],[97297200,2880,10800,336,216,48,360,24,
72,48,36,24,12,24,24,12,24,12,12],[97297200,90720,2880,9360,480,240,96,192,288
,72,16,2520,72,240,16,16,24,48,48,16,24,16,8,240,24,24,16,8,8,24,8],[97297200,
90720,12240,720,960,240,96,288,72,2520,72,16,240,16,24,96,16,24,16,8,16,24,24,
16,8,8,8,8],[97297200,272160,2880,6480,15120,480,720,192,144,72,16,2520,72,16,
720,16,24,240,48,48,16,8,8,16,24,16,8,8,24,8,8],[97297200,136080,720,2160,720,
48,144,432,48,24,72,48,24,24],[97297200,136080,720,2160,720,48,144,2520,216,32
,48,120,32,8,24,24,24,24,16,16,16,8,8,8],[97297200,136080,720,2160,720,48,144,
2520,72,240,48,48,240,120,48,16,16,24,24,8,16,16,16,16,8,8],[97297200,272160,
3600,15120,720,480,720,240,720,240,240,240,24,240,24,24],[97297200,90720,6480,
720,480,240,96,144,16,240,16,16,16,8,16,8,8],[97297200,272160,2880,720,15120,
720,192,16,16,720,16,16,16,8,16,8,8],[97297200,2880,5040,144,72,48,120,8,24,48
,8,8,8,12,4,8,4,4,4],[97297200,2880,5040,144,72,48,120,8,24,48,8,8,8,12,4,8,4,
4,4],[97297200,90720,2880,3600,240,96,192,144,16,240,16,16,16,240,24,16,24,8],
[97297200,136080,3600,5040,720,480,720,48,336,192,64,48,5040,144,32,240,48,48,
16,16,16,240,48,48,16,16,240,16,16,16,16],[97297200,317520,720,5040,15120,2160
,144,336,432,288,720,144,48,144,144,16,48,32,48,48,16,16,16],[97297200,136080,
720,7920,480,720,240,144,32,288,144,2520,216,48,32,16,32,48,48,120,8,24,24,24,
24,16,24,8,8,8,8],[97297200,317520,720,5040,15120,2160,144,336,432,144,240,16,
720,144,48,144,144,240,16,16,16,8,24,16,48,24,8,16,8,8],[97297200,226800,2160,
5040,136080,720,1680,144,432,144,48,2520,72,240,16,720,144,48,48,144,240,120,
16,16,16,24,24,8,48,120,8,8,8,16,8,8],[97297200,136080,3600,5040,720,480,720,
48,336,192,64,48,288,32,240,48,48,16,16,16,16,48,32,16,32,16,16,16],[97297200,
317520,720,5040,15120,2160,144,336,432,64,720,144,48,144,144,64,32,32,48,16,32
,16],[97297200,136080,3600,5040,720,480,720,48,336,192,64,48,144,240,16,32,240
,48,48,16,16,16,240,16,16,16,8,24,16,16,16,8,16,8,8],[97297200,136080,3600,
5040,720,480,720,48,336,192,64,48,2520,72,32,32,240,48,48,16,16,16,120,32,24,
24,8,16,16,16,16,8,16,8,8],[97297200,136080,6480,2160,720,48,144,576,144,96,
2520,216,48,48,48,48,96,120,8,24,24,24,24,48,16,16,8,8,8],[97297200,226800,
2160,5040,136080,720,1680,144,432,144,48,144,32,720,144,48,48,144,32,8,24,16,
16,16,48,16,8,16,8,8],[97297200,136080,720,7920,480,720,240,144,32,288,144,144
,32,48,32,16,32,48,48,32,8,24,16,16,16,16,8,16,8,8],[97297200,136080,3600,5040
,720,480,720,48,336,192,64,48,480,32,32,240,48,48,16,16,16,240,32,16,16,16,120
,8,8,16,8],[97297200,136080,3600,5040,720,480,720,48,336,192,64,48,64,32,240,
48,48,16,16,16,32,32,16,16,16,8,16,8],[97297200,45360,5040,5040,360,240,96,144
,96,80,72,104,240,48,16,48,48,8,24,24,16,16,120,16,16,24,8,8,8,8,8,8,8,4],[
97297200,362880,5040,136080,15120,600,1200,72,36,3780,180,360,720,12,2520,240,
72,24,12,120,48,36,24,12,120,12,12,36,12,12],[97297200,181440,7920,3780,720,
720,720,180,36,6300,108,240,36,12,120,48,24,24,480,12,36,240,12,12,12,12,36,12
,12],[97297200,181440,7920,136080,600,720,96,216,36,1260,252,360,16,12,144,24,
16,12,48,36,8,8,4,12,8,4,36,4,4],[97297200,181440,7920,3780,720,720,720,180,36
,1260,252,240,36,12,24,48,8,24,12,36,32,16,4,12,12,4,12,4,4],[97297200,272160,
1440,5040,15120,360,720,96,48,16,72,36,1260,252,720,8,12,120,48,24,8,4,8,24,12
,24,8,24,4,4,12,8,4,4,4],[97297200,181440,2880,5040,3780,240,720,192,180,36,16
,3780,180,36,16,12,120,24,24,24,8,120,12,36,24,8,4,4,4,12,12,12,4],[97297200,
90720,1440,7920,360,240,96,96,48,16,216,36,3780,180,8,16,12,48,24,16,4,120,8,
24,12,24,12,8,4,8,4,4,12,4],[97297200,181440,2880,5040,3780,240,720,192,180,36
,16,3780,180,36,16,12,24,24,24,8,8,360,12,36,8,12,8,4,4,4,36,4,4],[97297200,
136080,2160,6480,136080,144,144,32,144,72,144,120,24,144,8,144,12,8,4,24,8,24,
4,8,4,24,4,4],[97297200,45360,720,9360,240,96,48,48,144,72,144,120,24,16,8,16,
24,12,4,16,8,8,8,16,4,8,4,8,4,4],[97297200,272160,3600,136080,3780,360,1200,
108,5040,144,240,360,36,1260,36,12,12,240,360,36,72,120,12,12,36,36,24,12,12],
[97297200,272160,3600,136080,3780,360,1200,108,2520,216,16,360,36,1260,36,12,
12,16,36,72,24,8,4,12,36,12,8,4,4],[97297200,181440,1440,3600,3780,120,720,96,
48,16,108,2520,216,240,8,36,60,12,12,4,240,8,12,48,24,24,12,8,4,4,12,24,4,4],[
97297200,181440,1440,3600,3780,120,720,96,48,16,108,5040,144,16,8,36,60,12,12,
4,360,16,8,12,48,24,8,4,4,36,4,12,8,4],[97297200,90720,9360,720,480,240,144,72
,480,24,120,120,24,360,240,240,12,24,120,12,12,12,12],[97297200,90720,2880,
6480,480,240,144,72,16,240,16,24,8,24,8,8,240,8,12,24,8,12,4,4,4],[97297200,
2880,7920,240,144,16,360,8,48,8,12,8,4,360,8,8,12,4,8,4,12,4,4],[97297200,
10800,720,240,144,120,24,48,120,12,8,4,8,8,16,12,4,8,4,4,12,4],[97297200,90720
,2880,6480,480,240,144,72,16,32,24,8,8,8,24,16,8,4,8,8,4,4,4,4],[97297200,
90720,2880,6480,480,240,144,72,16,32,24,8,8,8,24,16,8,4,8,8,4,4,4,4],[97297200
,2880,7920,240,144,16,120,24,48,8,12,4,8,24,8,8,4,4,8,4,4,4,4],[97297200,2880,
7920,240,144,16,120,24,48,8,12,4,8,24,8,8,4,4,8,4,4,4,4],[97297200,90720,3600,
720,240,2520,72,480,120,120,360,240,240,24,12,120,24,12,12],[97297200,2880,
2160,48,16,360,40,8,8,24,24,8,12,8,12,4,4],[97297200,2880,2160,48,16,360,40,8,
8,24,24,8,12,8,12,4,4],[97297200,2880,2160,48,16,600,24,8,8,360,24,8,4,8,12,4,
4],[97297200,5040,720,48,360,40,120,8,8,24,16,4,8,12,4,4],[97297200,90720,2880
,720,240,16,2520,72,32,8,8,24,16,24,8,4,8,8,4,4],[97297200,90720,2880,720,240,
16,2520,72,32,8,8,24,16,24,8,4,8,8,4,4],[97297200,90720,2880,720,240,16,2520,
72,240,16,8,8,8,240,24,8,12,8,24,12,4],[97297200,136080,3600,5040,720,720,48,
336,48,480,32,48,48,120,120,8,8,8,8,8,360,24,240,240,16,16,32,16,16,8,8,120,8,
8,8,8,8,16,16,24,8],[97297200,136080,6480,2160,720,48,144,192,144,32,240,48,16
,48,8,8,16,16,8,8,24,24,16,240,16,16,16,16,16,16,8,8,8,8,8,8,8,16,16,8,8,8],[
97297200,45360,6480,3600,240,96,48,192,16,144,32,360,40,16,16,8,8,16,16,8,8,
360,24,16,24,8,16,16,16,8,8,8,8,8,16,8,8,24,8],[97297200,45360,3600,6480,720,
240,96,240,16,48,120,56,16,48,120,8,8,16,8,8,24,24,16,16,8,24,16,32,16,8,8,8,8
,8,16,8,16,8,8],[97297200,45360,5040,5040,360,240,96,144,96,16,72,40,240,48,16
,8,24,8,8,8,8,8,8,8,24,24,16,120,16,16,16,16,8,16,8,4,4,4,8,8,4,4,4,4,8,8,4,8,
8,4],[97297200,136080,5040,3600,360,720,48,240,96,72,40,120,56,8,48,24,60,8,8,
8,4,4,12,4,4,24,24,16,32,8,24,16,16,8,16,4,4,4,8,8,4,4,4,4,8,16,8,4,8,4],[
97297200,136080,720,2160,720,48,144,240,16,48,240,16,16,16,24,16,24,8,8,8],[
97297200,136080,720,2160,720,48,144,240,16,48,240,16,16,16,8,16,8,8,8,8],[
97297200,45360,3600,9360,720,240,32,144,72,48,120,8,8,48,120,8,8,12,4,8,12,4,8
,4,12,4,4],[97297200,45360,6480,6480,48,192,32,144,144,72,32,120,8,8,16,8,8,16
,12,4,8,4,4,8,4,4,4,4],[97297200,45360,720,720,48,144,120,40,24,24,16,8,8,16,
12,8,4,4,4],[97297200,45360,720,720,48,144,360,24,360,24,24,8,4,24,4,4,4],[
97297200,45360,720,3600,240,96,48,16,120,24,16,16,8,8,16,12,4,8,4,4,4],[
97297200,136080,2160,720,136080,144,144,120,24,144,24,24,12,4,24,4,4,4],[
97297200,45360,720,6480,48,32,144,72,120,40,8,12,4,24,24,16,8,16,4,4,8,4,4,4,4
],[97297200,45360,720,6480,48,32,144,72,360,24,8,12,4,360,24,24,12,4,24,4,12,4
,4],[97297200,45360,6480,720,48,192,144,32,144,120,8,16,8,8,16,8,8,12,8,4,4,4]
,[97297200,45360,3600,3600,720,240,48,144,120,8,48,120,8,8,8,8,4,8,4,4,4],[
88957440,11520,432,12],[86486400,362880,604800,5040,10080,40320,5040,5040,5040
,5040],[86486400,362880,604800,5040,288,40320,5040,5040,5040,48],[86486400,
5760,432,960,144,144,144,48],[86486400,5760,432,64,144,144,144,16],[86486400,
5760,604800,5040,64,576,48,5040,48,8],[86486400,5760,432,64,24,108,12,4],[
86486400,5760,432,64,24,108,12,4],[86486400,5760,5040,108,64,48,12,36,4,4],[
86486400,5760,5040,108,64,48,12,36,4,4],[86486400,120960,1512000,20160,120960,
1440,20160,120960,1440,1440,1440],[86486400,120960,1404,120960,108,432,108,108
,108],[86486400,120960,1404,120960,108,432,108,108,108],[86486400,120960,
1209600,432,108,120960,108,108,120960,108,108,108],[86486400,120960,12600,432,
120960,72,144,720,108,72,36],[86486400,120960,302400,432,432,120960,1440,108,
108,36,1440,36],[86486400,120960,10080,216,540,120960,108,36,720,54,36,108,18]
,[86486400,120960,2520,216,864,120960,72,36,54,72,72,18],[86486400,120960,
302400,10080,864,3360,1440,288,3360,96,96,96],[86486400,120960,1209600,2520,
864,120960,72,288,120960,72,72,72],[86486400,120960,302400,10080,864,120960,
1440,288,720,72,1440,36],[86486400,120960,22680,432,120960,72,432,1440,36,72,
36],[86486400,120960,12600,432,3360,72,144,3360,24,24,24],[86486400,120960,
2520,216,864,3360,72,36,96,12,24,12],[86486400,120960,302400,432,432,3360,1440
,108,48,24,96,12],[86486400,120960,648,108,120960,108,18,162,108,18],[86486400
,1920,302400,10080,864,320,192,288,80,8,32,8],[86486400,1920,302400,432,432,16
,192,108,4,4,16,4],[86486400,1920,486,432,32,6,18,8,2,2,2],[86486400,604800,
604800,5040,30240,53760,5040,2880,5040,2880,5040,240,240],[86486400,362880,
3840,604800,5040,960,40320,5040,240,240,5040,240,5040,240,240],[86486400,
362880,3840,604800,5040,384,40320,5040,48,48,5040,48,5040,48,48],[86486400,
1920,7680,604800,5040,64,120,576,24,48,120,24,5040,8,8,48,120,24,8],[86486400,
362880,3840,604800,5040,288,40320,5040,192,384,5040,96,5040,48,48],[86486400,
120960,7680,604800,5040,288,6720,672,48,1440,192,5040,48,32,48,120,24,8],[
86486400,9600,604800,5040,144,240,576,48,240,5040,24,48,240,24],[86486400,
120960,7680,302400,2520,216,960,840,360,384,72,1440,120,72,120,96,72,24,24,24]
,[86486400,241920,5760,604800,5040,1920,13440,576,48,2880,5040,192,48,240,24],
[86486400,120960,5760,1920,302400,2520,216,384,6720,960,120,72,24,192,72,72,
192,24,24,12,12,12],[86486400,1920,7680,302400,2520,216,64,320,360,288,72,8,
192,24,72,16,8,72,8,8,8],[86486400,120960,7680,302400,2520,216,384,840,1280,72
,24,1440,24,72,96,24,24,24,8,8],[86486400,5760,3840,302400,2520,216,64,960,96,
72,8,24,192,120,72,16,8,24,24,8,8],[86486400,1920,7680,302400,2520,216,64,320,
120,288,24,12,192,24,72,16,8,4,12,8,4],[86486400,1920,7680,7560,108,64,120,72,
4,6,24,6,108,8,2,6,6,4,2],[86486400,120960,7680,302400,2520,216,288,6720,480,
288,72,192,72,72,72,48,72,12,12,12],[86486400,9600,302400,2520,216,144,120,384
,24,12,192,120,72,12,16,4,24,12,4],[86486400,9600,7560,108,144,120,12,72,6,120
,6,108,12,2,6,12,6,2],[86486400,3840,5760,604800,5040,64,576,48,48,48,5040,8,
48,48,8],[86486400,9600,604800,5040,144,768,48,384,5040,32,48,48,8],[86486400,
9600,5040,108,288,144,48,12,36,12,36,6,6,6],[86486400,120960,7680,5040,108,384
,840,168,36,72,24,36,24,24,36,6,6,6],[86486400,3840,5760,5040,108,64,48,48,12,
48,36,8,4,12,4],[86486400,3840,5760,5040,108,64,48,12,12,12,36,4,4,12,4],[
86486400,3840,5760,5040,108,64,48,12,12,12,36,4,4,12,4],[86486400,3840,5760,
2520,54,216,64,24,24,6,12,6,24,6,9,4,2,1,3,3,1],[86486400,9600,432,144,144,4,
12,144,4,144,4,4],[86486400,120960,7680,302400,2520,216,288,6720,288,32,12,192
,72,72,48,8,4,12,8,4],[86486400,241920,5760,5040,108,1920,1680,48,12,144,36,48
,4,12,4],[86486400,7680,1920,302400,2520,216,64,1280,72,8,24,192,24,72,32,4,24
,8,8,4],[86486400,241920,5760,302400,2520,216,1920,6720,840,288,24,12,1440,72,
72,96,24,4,24,12,4],[86486400,5760,3840,432,64,48,4,12,144,4,48,4,4],[86486400
,9600,432,144,24,24,12,108,4,12,6,2],[86486400,9600,432,144,24,24,12,108,4,12,
6,2],[86486400,9600,302400,108,108,144,384,12,6,12,192,6,27,16,2,3,3,3,1],[
86486400,120960,604800,5040,120960,2880,144,5040,2880,144,144,144],[86486400,
120960,432,120960,432,144,432,144,144],[86486400,120960,7560,108,120960,108,
216,108,108,216,108,108],[86486400,120960,302400,2520,216,120960,1440,216,72,
72,1440,216,72,72,72],[86486400,120960,604800,5040,3360,2880,144,5040,192,48,
144,48],[86486400,40320,1280,302400,2520,216,32,480,128,80,72,24,8,72,32,8,8,
24,8,8],[86486400,40320,5760,5760,432,384,144,48,144,144,48,48,144,48,48],[
86486400,403200,5760,604800,5040,1920,40320,5040,576,48,960,48,5040,192,48,
5040,48,48,48],[86486400,40320,11520,604800,5040,960,1152,96,960,48,5040,192,
48,96,48,48],[86486400,40320,11520,432,384,96,144,144,48,96,48,48],[86486400,
40320,11520,302400,2520,216,384,1920,144,48,480,72,24,72,96,24,24,48,24,24],[
86486400,40320,5760,5760,302400,2520,216,384,960,360,288,72,72,24,480,72,24,72
,96,24,24,72,24,24,24],[86486400,5760,6400,302400,2520,216,64,960,288,72,24,24
,12,64,40,4,72,16,8,4,24,4,4,4],[86486400,40320,11520,604800,5040,288,1152,96,
960,48,5040,64,16,96,48,16],[86486400,40320,11520,7560,108,288,144,12,36,72,
108,12,24,12,36,12],[86486400,40320,11520,302400,2520,216,288,576,48,24,480,72
,24,72,32,24,8,8,24,8],[86486400,12160,302400,2520,216,144,360,576,72,24,12,64
,40,4,72,12,16,4,72,4,4,4],[86486400,6400,5760,5040,108,64,144,48,36,12,16,4,
36,8,4,36,4,4,4],[86486400,40320,3840,604800,5040,96,240,960,240,48,5040,24,24
,240,48,24],[86486400,282240,604800,5040,10080,13440,3840,48,5040,288,480,240,
48,24],[86486400,40320,3840,302400,2520,216,96,240,480,384,72,24,72,96,24,24,
24,24],[86486400,40320,3840,7560,108,96,240,36,72,12,108,12,24,12,36,12],[
86486400,40320,1920,1920,302400,2520,216,128,320,96,480,120,72,24,24,72,8,32,
24,8,24,8],[86486400,40320,1920,1920,7560,108,128,12,4,120,36,72,24,108,8,4,12
,4,36,4],[86486400,120960,1920,640,302400,2520,216,128,6720,320,64,40,72,24,4,
72,8,64,12,8,4,4],[86486400,4480,302400,2520,216,48,120,8,448,40,4,72,48,4,12,
8,4,4],[86486400,282240,302400,2520,216,10080,13440,480,72,168,72,72,480,24,24
,24],[86486400,161280,1920,302400,2520,216,640,840,8,1920,192,72,24,72,64,8,24
,8,24,8],[86486400,40320,1920,1920,604800,5040,128,120,24,960,120,48,24,5040,8
,8,120,24,48,8],[86486400,40320,3840,302400,2520,216,128,640,480,72,24,48,72,8
,32,16,24,8],[86486400,40320,3840,7560,108,128,8,36,72,48,108,8,4,8,36,4],[
86486400,40320,3840,604800,5040,320,192,960,384,48,5040,32,32,48,48,8],[
86486400,40320,3840,604800,5040,128,48,960,48,48,5040,8,8,48,48,8],[86486400,
40320,3840,302400,2520,216,320,16,480,384,72,24,72,32,8,16,24,8],[86486400,
161280,1920,604800,5040,640,6720,96,2400,192,48,5040,64,32,120,24,48,8],[
86486400,120960,2560,302400,2520,216,320,840,120,1440,256,40,4,72,32,40,24,12,
4,4],[86486400,120960,2560,302400,2520,216,96,6720,96,64,160,72,4,72,24,16,24,
12,4,4],[86486400,40320,3840,432,96,4,144,12,144,12,4,4,48,4],[86486400,120960
,2560,5040,108,128,840,24,72,40,4,36,8,8,6,6,4,2],[86486400,4480,5040,108,96,
12,16,16,36,6,2,6,6,4,2],[86486400,40320,302400,2520,216,96,480,72,24,72,24,96
,24,24],[86486400,40320,7560,108,96,36,72,108,24,12,36,12],[86486400,40320,
302400,2520,216,3360,480,72,24,72,480,24,24,24],[86486400,40320,604800,5040,96
,960,48,5040,24,24,48,24],[86486400,40320,604800,5040,3360,960,48,5040,480,96,
48,24],[86486400,40320,432,96,144,144,4,12,48,4],[86486400,120960,108,120960,
108,18,108,18,18],[86486400,40320,604800,5040,288,960,48,5040,64,16,48,16],[
86486400,40320,7560,108,288,36,72,108,12,24,36,12],[86486400,40320,302400,2520
,216,288,480,72,24,72,32,24,8,24,8],[86486400,40320,604800,5040,1120,960,48,
5040,64,16,48,16],[86486400,40320,302400,2520,216,32,480,72,24,72,32,8,8,24,8]
,[86486400,120960,108,120960,108,9,108,9],[86486400,40320,5760,5760,108,384,36
,12,36,18,12,18,6,6,6],[86486400,40320,11520,108,384,24,36,18,12,12,6,6],[
79833600,648,2,2],[77837760,4032,2016,10080,2016,672,336,336],[77837760,217728
,576,12096,576,10080,576,96,288,96,96,96],[77837760,145152,1728,108864,288,576
,10080,288,288,192,144,96,48,48],[77837760,72576,2880,576,384,192,10080,192,
480,96,96,32,64,32],[77837760,290304,8640,108864,1440,2880,10080,1440,10080,
144,144,144,144,144,144],[77837760,181440,8640,1728,288,576,96,10080,96,10080,
288,288,48,288,48,48],[77837760,72576,11520,576,192,768,64,10080,64,384,96,96,
32,64,32,32],[77837760,5760,7488,288,192,128,32,10080,32,192,96,288,48,32,32,
16,16],[77837760,36288,8640,4032,96,192,192,64,64,10080,16,288,48,192,48,16,16
,16,16,32,8],[77837760,11520,1728,288,192,10080,96,384,288,48,96,48],[77837760
,108864,8640,2880,108864,576,576,10080,576,288,48,144,144,48,48,48],[77837760,
217728,5760,4032,96,960,384,192,64,10080,32,10080,192,48,192,48,16,192,48,16,
16,16],[77837760,72576,5760,6336,480,192,384,192,64,10080,32,192,96,96,96,32,
32,48,16,16,16],[77837760,36288,2880,9792,576,384,192,64,10080,64,96,144,192,
48,16,64,16,48,16,16],[77837760,254016,2880,6336,2112,192,576,10080,192,10080,
96,96,96,96,32,96,32,32,96,32],[77837760,72576,12096,192,384,576,10080,64,192,
96,96,32,64,32,32],[77837760,108864,2880,8640,3024,576,432,10080,144,96,144,
144,24,48,24,24],[77837760,290304,8640,3024,2880,432,10080,144,10080,144,144,
24,144,24,24],[77837760,576,288,10080,288,96,48,48],[77837760,217728,2880,960,
960,10080,960,10080,48,48,48,48,48],[77837760,217728,2880,960,10080,10080,480,
10080,48,48,720,48,48],[77837760,181440,2880,576,192,5040,144,10080,48,10080,
96,96,360,24,96,24],[77837760,217728,2880,960,288,10080,32,10080,48,48,48,48,
16],[77837760,217728,2880,960,64,10080,64,10080,48,48,16,48,16],[77837760,
36288,2880,2880,192,480,32,10080,32,96,48,48,24,8,16,8],[77837760,6336,192,480
,32,10080,32,96,96,24,8,32,8],[77837760,181440,2880,576,192,288,10080,16,10080
,96,96,48,96,8],[77837760,217728,2880,960,288,10080,48,10080,48,48,48,48,8],[
77837760,36288,2880,2880,192,64,10080,32,96,48,48,16,16,8],[77837760,6336,192,
64,10080,32,96,96,16,32,8],[77837760,217728,2880,960,5040,144,10080,48,10080,
48,48,360,24,48,8],[77837760,3456,2880,32,480,32,15,16,5,3,1,3,1,1,1],[
77837760,72576,576,192,64,10080,64,96,96,32,32,32],[77837760,72576,576,192,288
,10080,32,96,96,32,16,16],[77837760,1728,288,64,10080,32,288,48,32,16],[
77837760,72576,576,192,192,10080,192,96,96,32,32,32],[77837760,72576,576,192,
2016,10080,96,96,96,32,16,16],[77837760,1728,288,192,10080,96,288,48,32,16],[
77837760,2880,576,96,10080,96,480,96,16,16],[77837760,108864,1152,3024,96,1008
,10080,48,192,144,24,16,8,8],[77837760,181440,108864,3024,1008,10080,1008,240,
144,24,8,8],[77837760,72576,1728,288,192,96,10080,48,288,96,48,32,16,8],[
77837760,181440,2880,576,192,96,32,10080,32,10080,96,96,96,16,16,16],[77837760
,6336,192,96,32,10080,32,96,96,32,16,16,16],[77837760,217728,2880,960,1008,144
,10080,48,10080,48,48,48,8,8,8],[77837760,36288,2880,2880,192,1008,144,10080,
48,96,48,48,16,8,8,8],[77837760,5760,576,32,96,32,10080,16,192,96,16,16,16,8],
[77837760,576,96,64,10080,32,96,32,16,16],[77837760,11520,576,64,96,10080,32,
384,96,32,16,16],[77837760,36288,5760,5760,192,144,1008,10080,48,192,96,48,16,
8,8,8],[77837760,36288,11520,480,144,1008,10080,48,192,48,48,8,8,8],[77837760,
5760,6336,192,32,96,10080,16,192,96,96,32,16,16,8],[77837760,108864,5760,3024,
192,144,10080,48,192,144,24,16,8,8],[77837760,36288,6912,96,144,144,10080,16,
96,192,48,16,8,8,8],[77837760,108864,5760,3024,480,144,10080,48,96,144,24,48,8
,8],[77837760,108864,5760,108864,144,144,10080,144,96,144,144,8,8,8],[77837760
,72576,5760,576,192,32,32,10080,16,192,96,96,32,16,16,8],[77837760,7488,288,
192,32,10080,16,96,288,48,32,16,8],[77837760,5760,1728,288,32,32,10080,16,192,
288,48,16,16,8],[77837760,576,32,10080,8,96,16,4],[74131200,3840,15120,240,360
,24,360,24],[74131200,3840,15120,48,360,24,360,24],[74131200,3840,648,12,360,
24,9,3],[74131200,3840,324,12,360,24,9,3],[74131200,11520,259200,576,360,72,18
,18],[74131200,11520,2160,144,360,72,18,18],[74131200,34560,15120,144,360,8,
360,8],[74131200,3840,259200,384,360,24,18,6],[74131200,3840,2160,48,360,24,18
,6],[74131200,103680,2160,720,360,24,18,6],[74131200,103680,259200,5760,360,24
,18,6],[69189120,483840,4032,8960,4032,320,32,32],[64864800,181440,4320,907200
,181440,1440,1440,1440,4320,1440,1440,90720,4320,1440,720,720],[64864800,
181440,4320,7560,90720,2520,720,1440,216,72,216,720,72,72,2520,216,72,72,72],[
64864800,181440,4320,907200,90720,2520,720,1440,216,72,4320,720,72,72,90720,
288,72,720,72],[64864800,90720,4320,1440,907200,90720,240,288,288,144,48,576,
288,48,48,90720,96,48,288,48],[64864800,90720,4320,1440,7560,90720,240,288,288
,144,48,216,288,48,48,60,216,48,12,12],[64864800,181440,4320,324,90720,2520,
720,1440,216,72,324,720,72,72,36,324,72,36,36],[64864800,181440,4320,7560,
181440,1440,1440,1440,216,1440,1440,540,216,1440,36,36],[64864800,181440,4320,
7560,90720,2520,720,1440,216,72,216,720,72,72,540,72,72,36,36],[64864800,
151200,1440,3360,907200,90720,480,1120,96,288,96,32,2880,192,480,96,32,32,96,
90720,64,32,480,96,32],[64864800,181440,4320,7560,5040,1440,192,432,216,96,144
,2520,72,48,72,24],[64864800,211680,480,3360,7560,10080,1440,96,224,288,120,72
,24,480,96,32,96,96,2520,8,32,120,24,24,8],[64864800,302400,2400,7560,25200,
2400,240,240,72,2400,240,2520,24,240,240,24,24],[64864800,120960,2880,2400,
907200,90720,320,480,192,288,32,32,1440,384,240,192,16,32,16,90720,32,16,240,
192,16],[64864800,302400,2400,324,25200,2400,240,108,12,2400,240,36,12,240,12,
12,12],[64864800,120960,960,4320,7560,2520,240,480,192,32,32,216,72,72,48,16,
16,48,24,24,2520,8,8,48,24,8],[64864800,30240,5280,1440,7560,240,96,128,288,80
,72,48,32,32,16,48,60,8,16,8,4,4],[64864800,30240,3360,3360,7560,1680,224,112,
120,72,24,1680,112,112,60,8,112,60,4,4,4],[64864800,2880,4320,162,720,96,96,48
,48,18,24,48,3,6,24,3,3],[64864800,90720,4320,1440,162,480,32,96,384,96,64,18,
32,32,32,32,64,2,6,32,2,2,2,2],[64864800,181440,4320,30240,181440,1440,1440,
1440,1440,1440,4320,720,1440,720],[64864800,181440,4320,1296,181440,1440,1440,
1440,1440,1440,216,36,1440,36],[64864800,181440,4320,1296,90720,2520,720,1440,
216,72,720,72,72,144,108,36,72,36],[64864800,2880,4320,648,720,96,96,48,48,24,
48,24,24,24,24],[64864800,181440,4320,648,5040,1440,192,432,96,144,72,24,48,24
],[64864800,181440,4320,648,90720,2520,720,1440,216,72,720,72,72,162,36,18,72,
18],[64864800,90720,4320,1440,1296,90720,240,288,288,144,48,288,48,48,108,12,
18,48,6],[64864800,2880,4320,1296,720,96,96,48,48,24,48,36,12,24,6],[64864800,
302400,2400,226800,25200,2400,240,3600,240,2400,240,720,240,240,240,240,240,
240],[64864800,181440,4320,226800,181440,1440,1440,1440,2160,432,1440,1440,
2160,144,144,144,1440,144,144,144],[64864800,181440,4320,226800,90720,2520,720
,1440,216,72,2160,432,720,72,72,1080,72,216,144,72,72,72,72,72,72,72],[
64864800,483840,1440,907200,90720,30240,240,1440,5040,40320,1440,240,1440,5040
,240,240,90720,1440,240,5040,240,240],[64864800,362880,3360,7560,272160,10080,
720,1440,5040,2520,360,120,720,480,5040,240,240,2520,120,240,2520,120,120,120]
,[64864800,272160,1440,3360,907200,90720,7560,288,96,216,2520,72,20160,288,192
,96,72,2520,72,24,24,24,90720,48,24,2520,72,96,24],[64864800,120960,7200,
907200,90720,240,480,192,288,144,576,1440,240,32,144,16,16,90720,32,16,144,240
,16],[64864800,272160,3360,1440,7560,272160,2520,288,288,72,2520,72,2520,72,24
,288,24,2520,72,24,24,24,2520,24,24,2520,24,24,24],[64864800,90720,480,7200,
7560,2520,480,192,96,32,72,2520,72,360,24,24,32,24,120,24,24,8,24,2520,8,8,120
,24,24,8],[64864800,181440,2880,3360,7560,10080,240,480,192,96,32,144,72,24,
120,480,16,48,48,16,2520,8,16,24,24,120,8],[64864800,120960,2880,4320,7560,
2520,240,480,192,96,32,72,2520,72,360,72,72,16,24,120,24,24,8,24,2520,24,8,120
,24,24,8],[64864800,120960,7200,7560,2520,480,480,216,72,144,48,72,24,24,48,16
,16,2520,8,8,48,24,8],[64864800,302400,4320,907200,90720,7560,240,1440,216,
2520,72,20160,288,1440,240,72,2520,72,24,24,24,90720,96,24,2520,72,240,24],[
64864800,120960,7200,7560,2520,1440,960,480,72,144,48,72,480,24,48,24,24,2520,
24,24,48,24,24],[64864800,302400,4320,7560,272160,2520,720,1440,72,2520,72,
2520,24,72,720,24,2520,72,24,24,24,2520,24,24,2520,24,24,24],[64864800,120960,
7200,7560,2520,480,480,216,72,5040,720,72,24,24,240,48,240,2520,72,24,240,24,
24],[64864800,181440,6240,7560,10080,480,480,144,72,2520,72,360,24,120,480,24,
240,48,24,2520,12,24,120,24,120,12],[64864800,120960,7200,907200,90720,720,480
,144,72,144,576,1440,240,24,144,24,24,90720,96,24,144,240,24],[64864800,181440
,6240,7560,2400,960,480,480,2520,360,120,1680,480,480,240,240,60,120,240,60,60
,60,60],[64864800,120960,5760,1440,7560,2520,480,384,72,32,144,144,72,24,32,48
,8,24,2520,24,8,48,24,8],[64864800,90720,3360,4320,7560,2520,240,96,96,32,72,
32,144,72,24,24,24,8,24,24,12,4,8,2520,4,4,24,24,24,4],[64864800,90720,1440,
6240,324,90720,96,96,32,144,72,144,36,6,6,96,8,144,8,8,27,2,8,9,1,3,1],[
64864800,9120,324,288,192,240,16,36,6,6,64,24,8,16,3,2,8,3,1,1,1],[64864800,
90720,1440,6240,907200,90720,96,96,32,144,72,144,576,192,96,8,144,8,8,90720,16
,8,144,96,8],[64864800,211680,1440,4320,7560,240,1440,96,288,16,240,16,2520,24
,72,96,16,120,8,8,8,16,60,24,8,60,4,4,4],[64864800,1920,7200,7560,960,96,64,32
,240,16,360,24,24,16,16,240,8,8,8,8,60,8,8,60,4,4,4],[64864800,181440,4800,
1440,7560,240,480,384,48,240,16,2520,72,24,16,32,120,16,8,8,8,60,24,8,60,4,4,4
],[64864800,30240,4320,4320,7560,960,288,64,240,16,360,72,72,64,240,16,16,16,
60,24,16,60,4,4,4],[64864800,2880,6240,7560,1680,96,64,16,32,72,24,120,1680,16
,16,16,16,60,8,16,4,4,60,4],[64864800,120960,2880,4320,324,2520,240,480,192,96
,32,72,2520,72,36,12,108,16,24,120,24,24,8,24,36,12,8,12,4,12,4],[64864800,
120960,7200,324,2520,480,480,216,72,144,12,108,24,24,48,16,16,36,12,8,4,12,4],
[64864800,181440,2880,3360,324,10080,240,480,192,96,32,144,12,6,6,480,16,48,48
,16,36,2,16,4,2,6,2],[64864800,302400,4320,7560,90720,7560,240,1440,216,2520,
72,2520,24,72,240,72,2520,72,24,24,24,540,24,24,180,4,12,4],[64864800,30240,
1440,7200,7560,240,480,192,96,32,16,32,48,72,32,16,16,8,8,16,60,24,8,8,4,4],[
64864800,4800,4320,7560,240,96,112,32,72,24,24,96,16,16,8,8,8,8,60,4,8,4,4,4,4
],[64864800,4800,4320,7560,240,96,112,32,72,24,24,96,16,16,8,8,8,8,60,4,8,4,4,
4,4],[64864800,30240,7200,1440,7560,240,96,192,144,48,32,144,72,16,16,16,16,16
,16,60,24,8,8,4,4],[64864800,120960,7200,7560,90720,240,480,192,288,144,48,72,
240,32,144,16,16,540,8,16,8,12,4],[64864800,120960,7200,7560,90720,720,480,144
,72,144,48,72,240,24,144,24,24,540,24,24,8,12,4],[64864800,120960,5760,1440,
324,2520,480,384,72,32,144,24,108,24,32,48,8,24,36,12,8,8,12,4],[64864800,4800
,4320,162,720,32,112,32,18,6,6,32,48,16,8,8,8,8,2,2,8,2,2,2,2],[64864800,4800,
4320,162,720,32,112,32,18,6,6,32,48,16,8,8,8,8,2,2,8,2,2,2,2],[64864800,7680,
1440,162,32,288,64,240,16,36,6,32,24,16,16,8,8,8,2,6,8,2,2,2,2],[64864800,7680
,1440,162,32,288,64,240,16,36,6,32,24,16,16,8,8,8,2,6,8,2,2,2,2],[64864800,
90720,6240,1440,162,480,32,96,192,144,32,32,36,6,16,32,16,8,8,16,2,6,8,2,2,2,2
],[64864800,181440,6240,324,10080,480,480,144,72,2520,72,36,6,6,480,24,240,48,
24,36,2,24,12,2,6,2],[64864800,90720,3360,4320,162,720,480,32,288,48,240,16,18
,6,6,32,48,120,8,8,8,16,2,2,8,2,2,2,2],[64864800,90720,3360,4320,162,2520,240,
96,96,32,72,32,144,18,6,6,24,8,24,24,12,4,8,9,2,4,3,1,3,1],[64864800,2880,6240
,324,1680,96,64,16,32,12,6,6,1680,16,16,16,16,3,2,16,1,1,3,1],[64864800,120960
,1440,907200,90720,240,480,5040,480,1440,240,480,240,90720,1440,240,240,240],[
64864800,120960,1440,7560,2520,480,72,144,480,72,24,480,24,2520,72,24,24,24],[
64864800,120960,1440,907200,90720,240,480,144,32,1440,240,32,16,90720,32,16,
240,16],[64864800,120960,1440,7560,2520,480,72,144,32,72,24,32,24,2520,8,8,24,
8],[64864800,120960,1440,7560,90720,240,480,144,32,72,240,32,16,540,8,16,12,4]
,[64864800,120960,1440,324,2520,480,72,144,32,108,24,32,24,36,12,8,12,4],[
64864800,90720,10080,3360,226800,1680,672,336,5040,1680,336,1680,336,336,168,
336,168,336,168,168,168,168],[64864800,272160,1440,9120,226800,10080,3360,288,
672,864,5040,240,432,2160,48,480,288,96,288,288,288,48,48,144,48,144,96,96,48,
96,48,48,48,48],[64864800,393120,1440,7200,226800,25200,3360,288,672,720,15120
,240,288,1440,144,1440,288,96,288,240,72,72,48,1080,144,96,48,144,72,24,96,24,
72,72,24,48,24,24,24],[64864800,302400,10080,226800,10080,3360,576,1152,10080,
432,1440,144,288,384,72,72,48,360,96,144,72,72,144,24,48,48,24,24,24],[
64864800,544320,6240,226800,55440,6240,720,20160,288,2160,48,6240,720,288,48,
2160,288,48,48,720,48,288,48,48,48],[64864800,302400,10080,226800,90720,7560,
1680,3360,648,216,10080,432,1440,144,1680,216,216,1080,48,24,360,144,144,72,24
,24,216,24,144,24,24,24,24],[64864800,120960,8640,4320,226800,90720,480,480,
576,864,96,96,1440,144,1440,144,240,576,48,96,48,1080,48,24,144,24,216,24,48,
48,24,144,24,48,24,24],[64864800,60480,5760,8160,226800,480,800,160,384,384,
192,192,64,960,288,720,240,128,32,160,64,32,48,16,32,96,64,48,48,48,32,32,16,
32,16,32,16,16],[64864800,151200,7200,5280,226800,480,320,1120,96,672,384,128,
96,5040,1200,144,720,240,64,160,96,96,32,32,32,48,16,32,240,48,16,48,96,32,48,
32,16,32,16,48,16,16,16,16],[64864800,211680,4320,7200,226800,90720,960,2400,
288,864,288,96,5040,720,288,1440,144,960,288,96,96,288,1080,48,24,144,144,48,
96,72,72,24,96,24,72,72,24,24,24,48,24],[64864800,120960,2880,10080,226800,
2520,720,480,576,96,96,504,216,480,432,1440,144,48,48,144,24,72,72,72,48,144,
72,24,24,48,24,24,24,24,24,48,24,24],[64864800,151200,1440,11040,226800,640,
1120,480,288,64,480,240,5040,240,432,720,240,96,64,32,64,96,80,48,16,24,16,48,
48,80,48,48,16,48,16,24,32,8,24,16,8,8,16,16,8,8,8],[64864800,241920,2880,8160
,226800,7560,400,1120,576,96,96,552,168,10080,480,288,720,240,48,48,144,72,56,
48,16,24,16,360,192,48,48,24,24,24,72,8,16,24,8,8,16,16,8,48,8,8,8],[64864800,
181440,5760,6240,1890,90720,960,1440,384,672,96,96,630,90,54,18,30,54,18,720,
384,48,96,48,54,6,6,30,18,6,18,18,6,6,18,18,48,6,6,18,18,6,6,6,6],[64864800,
181440,1920,10080,1890,2520,720,1440,384,96,96,504,216,630,270,18,18,90,54,6,
48,48,96,72,72,18,18,6,90,54,18,18,6,6,6,18,6,24,6,18,6,6,6,6,18,6],[64864800,
90720,1440,480,226800,96,240,48,5040,240,48,240,48,48,48,24,24,48,24,24,24,24]
,[64864800,120960,1440,226800,90720,240,480,840,72,1440,144,240,24,24,1080,48,
24,72,24,24,24,24,24,24],[64864800,120960,1440,226800,2520,480,72,2520,24,1440
,144,24,240,24,72,72,48,24,72,24,24,24,24,24],[64864800,120960,1440,907200,
90720,240,480,840,72,1440,240,24,24,90720,96,24,240,24],[64864800,120960,1440,
7560,2520,480,72,2520,24,72,24,240,24,2520,24,24,24,24],[64864800,90720,1440,
480,907200,90720,96,96,80,16,192,96,16,16,90720,32,16,96,16],[64864800,120960,
1440,7560,90720,240,480,840,72,72,240,24,24,540,24,24,12,12],[64864800,120960,
1440,324,2520,480,72,2520,24,108,24,240,24,36,12,24,12,12],[64864800,120960,
1440,7560,2520,480,72,840,72,72,24,24,16,2520,24,8,24,8],[64864800,272160,4320
,2400,226800,90720,7560,480,288,168,2520,24,10080,720,72,1080,96,288,72,2520,
24,24,24,24,1080,24,360,96,72,72,24,360,24,24,360,24,72,24,24,24,24,24],[
64864800,151200,4320,4320,226800,90720,2520,480,288,216,840,72,720,216,1800,
288,72,840,72,24,24,24,1080,72,120,72,24,8,24,24,8,8,72,24,24,8,8,8],[64864800
,120960,2880,6240,226800,80,480,192,192,96,32,240,3360,5040,480,216,360,192,16
,32,32,48,240,24,8,96,32,24,24,8,24,8,360,24,16,24,8,8,8,8,24,8,8],[64864800,
362880,2880,2400,226800,25200,80,1440,192,96,32,96,15120,480,72,1080,96,1440,
16,32,48,16,72,8,1080,96,72,24,8,8,24,16,8,8,8,72,8,8,24,8],[64864800,90720,
1440,8160,226800,2520,320,192,288,32,216,2520,24,240,360,1080,96,32,72,120,24,
8,8,24,72,8,72,32,24,8,24,360,24,8,24,8,8,24,8,24,8,8],[64864800,211680,1440,
6240,226800,7560,320,192,288,32,168,840,72,10080,240,216,360,192,32,72,120,8,
24,8,24,24,8,360,96,24,32,24,8,24,8,24,8,8,8,8,24,8,8,24,8],[64864800,181440,
8160,226800,90720,720,1440,192,240,96,5040,360,1080,96,720,32,96,16,16,1080,24
,32,72,72,24,8,8,24,16,8,8,72,8,24,8,8,8],[64864800,181440,2880,5280,226800,
2520,80,1440,192,96,32,216,840,72,5040,480,216,1080,96,16,72,40,24,24,8,24,72,
8,96,72,24,8,24,8,24,8,8,4,8,12,4,4,8,4],[64864800,181440,8160,226800,2520,320
,1440,360,72,96,5040,360,1080,96,72,24,32,16,16,72,8,72,24,24,24,8,8,24,8,4,4,
12,4,8,8,8,4],[64864800,90720,1440,8160,226800,2520,320,192,288,32,216,840,72,
240,360,1080,96,32,72,40,24,24,8,24,72,8,72,32,24,8,24,8,24,8,4,4,8,24,4,8,4,4
],[64864800,120960,9120,226800,320,480,192,384,72,840,72,5040,360,360,192,32,
24,32,16,24,24,8,32,24,24,48,8,8,8,24,8,8,4,8,4,8,4,4,4],[64864800,423360,4320
,226800,90720,25200,720,2400,3360,15120,216,1800,720,1440,3360,240,240,1080,72
,1080,120,72,360,24,240,360,24,72,72,24,24,24,24],[64864800,90720,7200,2400,
226800,480,480,96,80,16,5040,1200,240,96,80,16,16,16,48,240,48,8,8,16,8,48,8,8
,8,8],[64864800,60480,8640,1440,226800,240,160,384,112,80,16,1440,720,144,48,
32,40,16,8,8,8,24,16,96,56,8,8,8,4,4,24,16,4,4,8,4],[64864800,5760,5280,226800
,480,96,64,96,80,16,960,144,240,48,16,80,8,8,8,8,48,16,16,48,8,8,8,4,4,24,8,8,
4,4,4],[64864800,181440,8160,1890,90720,1200,1440,96,72,96,630,180,18,60,54,
720,24,96,24,24,54,6,60,18,6,18,18,18,6,24,18,6,18,6,6,6,6,6],[64864800,151200
,4320,4320,1890,90720,2520,480,288,216,840,72,270,54,90,288,72,840,72,24,24,24
,54,18,54,18,30,18,6,24,18,6,18,18,6,6,6,6],[64864800,90720,2400,7200,1890,
2520,240,288,32,32,216,32,96,270,18,12,54,12,72,8,24,8,12,4,8,18,2,54,2,18,4,6
,2,6,4,2,2,18,2,2,2,6,2],[64864800,181440,3840,4320,1890,2520,1440,320,216,32,
96,630,36,18,54,12,72,32,32,8,24,18,2,6,2,12,18,6,18,6,8,6,2,2,6,2,6,2,2],[
64864800,30240,2400,8160,1890,240,96,32,64,96,72,32,840,72,90,18,24,60,18,12,8
,8,24,8,12,4,24,6,2,6,2,6,4,4,6,2,18,6,4,6,2,2,2,2,6,2,2],[64864800,120960,
3840,5280,1890,480,480,320,96,72,32,840,72,630,180,36,6,60,18,12,32,24,32,8,24
,6,2,60,18,6,6,2,12,6,2,6,8,2,2,2,6,2,2,6,2],[64864800,90720,4320,5280,1890,
90720,288,288,32,96,72,96,90,54,12,60,54,288,8,96,8,8,54,6,6,18,18,4,2,2,6,8,2
,2,2,18,6,2,2,2],[64864800,181440,8160,226800,2520,320,1440,360,72,3360,5040,
360,1080,96,72,24,160,48,240,72,8,72,24,24,24,8,360,24,24,24,8,12,4,4,24,4,4],
[64864800,241920,7200,226800,90720,2520,720,2400,216,840,72,5040,360,1800,720,
72,840,72,24,24,24,1080,72,120,72,24,8,24,24,8,4,72,12,24,4,4,4],[64864800,
362880,5280,226800,25200,320,1440,144,72,840,72,15120,216,1080,96,1440,24,160,
48,24,72,8,1080,72,24,24,8,8,24,24,8,4,72,4,4,4,24,4],[64864800,30240,4320,
6240,226800,80,96,96,64,96,72,32,2520,24,720,216,360,192,8,8,24,24,4,4,24,24,8
,24,24,16,8,16,8,360,24,4,24,8,4,4,4,24,4,4],[64864800,90720,1440,8160,226800,
96,64,288,96,80,16,5040,240,288,240,16,16,8,16,24,48,16,48,8,8,8,8,4,8,4,8,4,4
],[64864800,211680,4320,3360,226800,7560,80,288,96,32,168,32,96,10080,720,72,
360,192,72,8,24,24,4,4,8,24,8,360,96,24,24,8,24,16,8,24,4,8,4,24,4,4,4,24,4],[
64864800,30240,1440,9120,226800,320,192,96,64,96,72,96,240,360,360,192,32,8,16
,16,8,24,8,24,32,24,16,8,8,8,24,8,8,4,8,4,4,4,8,4],[64864800,30240,4320,6240,
226800,80,96,96,64,96,72,32,840,72,720,216,360,192,8,8,8,24,12,4,24,24,8,24,24
,16,8,16,8,8,24,4,4,4,4,4,8,8,8,4],[64864800,90720,4320,5280,226800,90720,288,
288,32,96,72,96,720,216,1080,96,288,8,96,8,8,1080,24,72,72,8,8,8,8,24,8,8,4,72
,4,24,4,4,4],[64864800,120960,2880,6240,226800,80,480,192,192,96,32,240,96,
5040,480,216,360,192,16,32,16,8,16,24,8,96,32,24,24,8,24,8,8,24,8,4,4,8,8,4,8,
4,4],[64864800,11040,226800,480,240,80,16,432,240,96,16,8,16,24,80,24,8,8,8,4,
24,4,8,4,4],[64864800,90720,4320,5280,226800,2520,80,288,96,32,216,32,96,720,
216,1080,96,72,8,8,24,12,4,8,72,8,72,24,8,24,16,8,24,4,8,4,24,4,8,4,4,4],[
64864800,60480,2880,7200,226800,240,160,192,64,288,16,80,16,480,288,720,144,32
,16,40,8,8,8,16,24,16,32,16,32,8,8,8,8,4,4,16,8,4,8,4,4],[64864800,151200,4320
,4320,226800,240,1120,96,480,48,80,16,5040,720,144,720,144,96,48,40,8,8,8,16,
24,16,144,48,16,48,24,8,8,8,4,4,16,24,4,8,4,4],[64864800,241920,7200,1890,
90720,2520,720,2400,216,840,72,630,30,90,720,72,840,72,24,24,24,54,18,18,30,6,
2,6,24,2,2,18,6,6,2,2,2],[64864800,90720,4320,5280,81,90720,288,288,32,96,72,
96,9,9,3,81,3,288,8,96,8,8,81,3,9,1,9,3,1,3,3,8,3,1,9,1,3,1,1,1],[64864800,
120960,1440,226800,90720,240,480,2520,216,1440,144,240,72,72,1080,48,24,360,24
,72,24,24,24,24],[64864800,120960,1440,226800,2520,480,72,2520,216,1440,144,24
,72,48,72,72,48,360,24,24,24,24,24,24],[64864800,181440,480,226800,10080,480,
288,2160,48,480,48,288,48,32,48,48,16,16],[64864800,60480,2400,226800,480,320,
160,288,720,240,160,32,48,16,32,32,32,16,16,16],[64864800,120960,1440,226800,
2520,480,72,144,32,1440,144,24,32,24,72,72,48,16,16,8,24,16,8,8],[64864800,
120960,1440,226800,90720,240,480,144,32,1440,144,240,32,16,1080,48,24,16,16,16
,24,16,8,8],[64864800,60480,2400,226800,160,160,48,24,288,720,240,8,24,16,48,
16,24,16,32,8,8,8,8,8],[64864800,60480,2400,226800,480,320,160,64,720,240,160,
32,48,16,32,32,16,16,16,8],[64864800,60480,480,226800,160,5040,144,160,720,48,
160,48,16,720,16,16,48,16,16,16],[64864800,60480,480,226800,160,4200,216,720,
48,80,24,24,16,360,24,48,24,8,8,8,8],[64864800,60480,480,226800,160,840,312,
720,48,24,8,16,16,32,24,24,8,8,8,8,8],[64864800,60480,480,226800,160,3360,96,
32,720,48,32,32,16,360,8,16,24,24,16,16,8,8,8],[64864800,60480,480,226800,160,
2520,264,720,48,8,24,16,16,360,24,48,8,8,8,8,8],[64864800,181440,5760,480,
226800,10080,480,384,32,32,960,2160,48,480,32,32,32,288,48,96,16,16,32,16,48,
16,16,16],[64864800,60480,8160,226800,480,320,160,192,288,32,288,720,240,160,
32,32,32,48,16,32,32,32,16,32,16,16,16,16,16],[64864800,60480,5760,2400,226800
,160,160,384,48,24,32,2520,72,960,720,240,32,8,48,8,24,48,16,24,16,96,16,360,8
,8,48,8,8,16,8,8],[64864800,120960,5760,1440,226800,2520,480,384,72,32,144,960
,1440,144,24,32,48,8,24,72,72,48,96,16,16,8,16,8,24,16,8,8],[64864800,60480,
8160,226800,640,160,192,96,32,288,720,240,32,16,32,48,16,24,16,48,16,8,16,16,8
,8,8,16,8],[64864800,60480,2880,5280,226800,400,160,192,96,32,48,24,144,480,
144,720,240,16,8,16,8,24,48,16,24,16,48,24,24,8,16,8,16,8,8,8,8,8],[64864800,
302400,4320,226800,90720,7560,240,1440,216,2520,72,10080,144,1440,144,240,72,
2520,72,24,24,24,1080,48,24,360,48,24,8,360,8,24,360,8,8,8,24,8,8,8],[64864800
,181440,6240,226800,10080,480,480,144,72,2520,72,288,2160,48,480,24,240,48,24,
288,48,48,16,8,360,8,24,48,8,48,8,8,8],[64864800,60480,5760,2400,226800,480,
320,160,96,32,960,720,240,160,48,16,16,16,48,16,32,48,16,16,8,8,16,24,8,8],[
64864800,2880,6240,226800,1680,96,64,16,32,480,144,336,1680,16,16,16,16,168,16
,16,8,16,16,8,8,168,8,8,8],[64864800,241920,5280,226800,7560,480,320,1120,216,
144,10080,144,720,240,160,72,48,24,24,48,16,32,360,48,24,8,16,24,16,8,16,8,8,8
],[64864800,60480,8160,226800,480,800,160,144,72,2520,72,288,720,240,160,24,48
,24,24,48,16,32,48,16,8,360,8,24,16,8,16,8,8,8],[64864800,120960,7200,226800,
90720,720,480,144,72,144,288,1440,144,240,24,144,24,24,1080,48,24,48,16,8,16,
24,16,8,24,8,8,8],[64864800,181440,2880,3360,226800,10080,240,480,192,96,32,
144,480,144,2160,48,480,16,48,48,16,288,48,48,24,24,8,16,16,16,8,48,8,8,8],[
64864800,120960,7200,226800,2520,480,480,216,72,144,288,1440,144,24,24,48,16,
16,72,72,48,48,16,8,16,8,16,8,24,8,8,8],[64864800,241920,5280,226800,7560,160,
1120,264,24,144,10080,144,720,240,72,8,48,16,16,48,16,24,16,360,48,24,8,16,8,8
,16,8,8,8,8],[64864800,120960,2880,4320,226800,2520,240,480,192,96,32,72,2520,
72,480,144,1440,144,16,24,120,24,24,8,24,72,72,48,48,24,24,8,360,8,8,24,8,8,24
,24,8,8,8],[64864800,120960,7200,226800,90720,240,480,192,288,144,288,1440,144
,240,32,144,16,16,1080,48,24,32,32,16,16,8,16,24,16,8,8],[64864800,60480,8160,
226800,160,160,192,336,24,2520,72,288,720,240,32,8,48,16,24,48,16,24,16,32,32,
360,8,8,8,16,8,16,8,8],[64864800,90720,1440,6240,1890,90720,96,96,32,144,72,
144,180,12,30,54,18,96,8,144,8,8,54,6,6,18,6,4,2,18,2,8,18,2,2,2,6,2,2,2],[
64864800,90720,3360,4320,1890,2520,240,96,96,32,72,32,144,36,12,90,54,6,24,8,
24,24,12,4,8,18,18,6,6,2,4,6,18,2,4,6,6,2,2,6,2,2,2],[64864800,181440,2400,
226800,10080,480,320,480,160,2160,240,480,160,160,160,288,48,48,32,16,160,48,
16,16,16,16],[64864800,60480,4320,226800,320,160,96,48,160,720,432,16,16,160,
96,16,48,32,16,16,16,16,16,16],[64864800,120960,3360,226800,2520,480,320,480,
72,48,1440,336,160,24,16,8,8,72,48,72,48,32,48,8,24,16,16,8,8,8],[64864800,
60480,4320,226800,480,480,160,48,24,840,24,720,432,160,8,16,8,8,48,48,16,24,48
,24,24,8,16,8,16,8,8,8],[64864800,120960,3360,226800,90720,400,480,48,24,48,
1440,336,240,8,48,8,8,1080,48,48,24,40,48,8,24,8,48,8,8,8],[64864800,120960,
3360,226800,2520,160,480,120,24,1680,1440,336,24,8,80,16,80,72,120,48,24,16,48
,8,24,8,16,8,8,8],[64864800,181440,2400,226800,90720,2520,240,800,72,840,24,
2160,240,240,24,840,24,8,8,8,1080,72,72,80,24,24,24,8,24,24,24,24,8,8,8,8],[
64864800,181440,2400,226800,10080,160,480,48,24,840,24,2160,240,480,8,80,16,8,
288,48,48,24,16,24,24,8,48,8,16,8,8,8],[64864800,241920,1440,226800,90720,
10080,240,800,1680,2880,144,240,480,1680,80,80,1080,288,80,24,48,80,48,24,48,8
,8,8],[64864800,60480,4320,226800,1920,320,160,160,720,432,1680,160,160,80,80,
192,16,32,16,80,168,16,16,8,8,8],[64864800,151200,1440,1440,1890,90720,2520,
160,96,72,840,24,90,90,18,96,24,840,24,8,8,8,54,18,18,10,6,6,6,8,6,6,6,6,2,2,2
,2],[64864800,181440,480,226800,10080,480,96,2160,48,480,16,288,48,96,16,48,16
,16],[64864800,120960,1440,226800,2520,480,72,48,160,1440,144,24,160,8,72,72,
48,48,16,8,24,16,8,8],[64864800,60480,2400,226800,160,160,48,24,1680,48,720,
240,8,80,8,48,16,24,16,48,48,8,8,8,8,8],[64864800,60480,2400,226800,480,320,
160,3360,720,240,160,160,48,16,32,96,160,16,16,16],[64864800,120960,1440,
226800,90720,240,480,1680,160,1440,144,240,160,80,1080,48,24,48,16,80,24,16,8,
8],[64864800,60480,2400,226800,480,320,160,320,720,240,160,160,48,16,32,32,80,
16,16,8],[64864800,60480,480,226800,160,1680,48,160,720,48,160,16,16,48,48,16,
16,16,16,16],[64864800,60480,480,226800,160,2520,72,720,48,80,8,8,16,72,72,8,8
,8,8,8],[64864800,151200,1440,3360,226800,1120,96,288,160,32,5040,240,144,720,
48,96,160,32,32,32,16,48,48,16,48,16,16,32,16,16,16,16,16,16],[64864800,151200
,1440,3360,226800,1120,96,288,192,5040,240,144,720,48,96,16,32,32,16,48,48,16,
48,16,48,16,16,16,8,8,8,8],[64864800,60480,2880,3360,226800,240,160,192,96,32,
2520,120,480,144,720,48,16,16,8,24,48,16,48,24,24,8,360,8,48,8,8,48,8,8,8,8],[
64864800,60480,2880,3360,226800,240,160,192,96,32,840,168,480,144,720,48,16,16
,24,8,48,16,48,24,24,8,16,24,24,8,8,16,8,8,8,8],[64864800,151200,1440,3360,
226800,1120,96,288,3360,96,5040,240,144,720,48,96,240,32,48,16,16,48,48,16,48,
360,8,24,24,16,16,24,8,8,24,8,8,8],[64864800,241920,3360,226800,7560,1120,216,
840,168,10080,144,720,48,72,56,48,16,360,48,24,8,16,24,24,24,8,16,8,8,8,8],[
64864800,151200,1440,3360,226800,1120,96,288,1680,144,5040,240,144,720,48,96,
80,48,48,16,16,48,48,16,48,16,48,16,16,16,8,8,8,8],[64864800,241920,3360,
226800,7560,1120,216,4200,72,10080,144,720,48,72,560,72,16,360,48,24,8,360,8,
48,72,8,48,8,8,8,8],[64864800,90720,4320,1440,226800,240,288,48,160,32,5040,
720,144,48,80,32,16,16,24,144,24,16,16,16,24,16,8,8,8,8],[64864800,120960,1920
,3360,1890,240,480,128,96,32,840,168,630,90,18,6,30,18,6,16,16,24,24,32,2,30,6
,6,2,2,6,18,2,6,6,8,2,6,2,6,2,2,2,2],[64864800,60480,12000,226800,960,160,288,
144,160,576,720,48,48,48,160,16,96,32,16,16,48,16,16,16,16],[64864800,60480,
5760,6240,226800,160,192,384,288,32,160,960,288,720,48,32,32,32,160,16,32,96,
32,16,16,32,16,16,16,16,16],[64864800,60480,2880,9120,226800,720,160,192,96,32
,144,72,48,480,432,720,48,16,24,16,8,8,16,48,72,24,8,16,8,48,8,8,8,16,8,8,8],[
64864800,60480,5760,6240,226800,480,160,384,144,72,32,840,24,960,288,720,48,32
,24,48,8,8,16,48,96,16,16,8,24,24,8,16,8,16,8,8,8],[64864800,241920,5760,3360,
226800,7560,1120,384,216,32,48,10080,960,144,720,48,72,32,48,8,8,16,360,48,96,
24,8,16,48,8,16,8,48,8,8,8],[64864800,60480,12000,226800,480,160,192,432,72,
840,24,576,720,48,32,24,48,16,8,16,32,48,48,8,24,24,8,16,8,16,8,8,8],[64864800
,60480,2880,9120,226800,240,160,192,192,96,32,288,1680,480,432,720,48,16,32,48
,48,80,16,48,32,24,24,8,32,48,16,8,16,16,8,8,8],[64864800,241920,2880,6240,
226800,7560,240,1120,192,96,32,216,840,24,10080,480,288,720,48,16,72,120,24,24
,8,8,16,360,48,48,24,24,8,24,8,24,24,8,8,8,24,24,8,8,8,8],[64864800,241920,
9120,226800,7560,480,1120,360,72,1680,10080,432,720,48,72,24,240,48,80,16,360,
48,48,24,24,8,48,24,8,8,48,8,8,8],[64864800,8640,4320,226800,240,96,64,112,160
,1440,144,144,48,16,32,16,80,24,16,16,56,16,16,24,8,16,8,8,8],[64864800,30240,
3360,9120,1890,240,32,96,64,144,72,32,840,24,180,36,24,30,18,6,8,8,24,24,12,4,
8,2,18,6,6,2,4,4,6,2,6,6,4,2,2,6,2,6,2,2,2],[64864800,60480,6240,226800,480,
160,144,72,192,288,720,48,24,8,16,16,48,16,8,16,48,8,8,8,8,8],[64864800,60480,
2880,3360,226800,240,160,192,96,32,144,160,480,144,720,48,16,160,16,16,48,24,
24,8,16,16,16,8,8,16,8],[64864800,60480,5760,480,226800,160,384,32,1680,144,
960,720,48,32,80,16,16,96,16,16,48,16,16,8,8,8],[64864800,241920,3360,226800,
7560,1120,216,48,32,10080,144,720,48,72,32,8,16,360,48,24,8,16,48,8,8,16,8,8],
[64864800,60480,2880,3360,226800,240,160,192,96,32,1680,32,480,144,720,48,16,
80,32,16,48,24,24,8,16,48,16,8,16,8,8],[64864800,60480,6240,226800,160,192,288
,192,288,720,48,32,32,16,32,32,16,48,16,16,8,8,8],[64864800,60480,6240,226800,
480,160,144,72,1680,144,288,720,48,24,80,24,16,48,16,8,16,48,24,8,8,8,8],[
64864800,241920,3360,226800,7560,1120,216,144,160,10080,144,720,48,72,160,24,
16,360,48,24,8,16,16,24,8,8,16,8],[64864800,2880,4320,226800,240,96,64,16,160,
32,480,144,144,16,80,16,24,16,16,8,16,16,8,8,8,8,4],[64864800,1440,648,32,240,
16,16,8,8,8],[64864800,5280,226800,480,96,80,48,144,240,80,16,16,16,32,48,16,
24,8,16,8,8,8,16,8,8],[64864800,60480,2880,1440,226800,240,160,16,80,48,480,
720,144,40,8,8,16,32,16,8,24,16,8,24,8,8,4,4,4,4,16,8,8,4],[64864800,5760,3360
,226800,96,32,240,16,960,144,48,16,16,240,16,16,16,16,8,24,16,8,8,8,8,24,8],[
64864800,60480,480,226800,160,160,720,48,160,24,16,16,24,16,8,8],[64864800,
60480,2400,226800,480,160,320,720,240,80,80,240,160,160,48,16,32,80,8,8,24,16,
16,8],[64864800,60480,480,226800,160,160,720,48,160,8,16,16,8,16,8,8],[
64864800,60480,5760,480,226800,160,32,160,32,960,720,48,16,16,16,160,16,16,16,
16,16,16,8,8,8,16,8,8],[64864800,2880,4320,226800,240,96,16,160,32,480,144,144
,8,8,8,16,80,16,8,24,16,8,16,16,8,4,4,8,4,4,8,8,4],[64864800,6240,7560,72,240,
360,24,120,12,240,12,12,12,60,6],[64864800,6240,324,72,240,36,6,6,12,240,12,2,
12,3,1],[64864800,6240,324,72,16,36,6,6,4,16,4,2,4,1,1],[64864800,6240,324,72,
16,36,6,6,4,16,4,2,4,1,1],[64864800,2400,226800,24,240,240,4,240,4,24,24,4,4,
24,4,4],[64864800,8160,226800,480,72,80,288,240,80,12,12,48,8,8,12,8,4,4,4],[
64864800,5760,2400,226800,24,32,80,960,240,16,4,12,24,16,8,4,4,8,4,4],[
64864800,30240,480,480,7560,32,240,16,120,72,24,240,16,16,8,16,60,4],[64864800
,90720,1440,480,226800,96,80,16,5040,240,48,16,16,48,8,8,8,8,4,4,4],[64864800,
3360,226800,96,80,16,144,48,16,16,16,8,8,8,8,4,4,4],[64864800,6240,226800,72,
80,32,288,48,12,16,4,8,16,8,4,4,8,4,4],[64864800,2400,226800,24,80,32,240,4,16
,12,24,16,8,4,4,8,4,4],[64864800,4320,226800,480,24,80,432,80,4,4,48,24,8,4,8,
4,4,4],[64864800,6240,226800,72,240,288,48,12,240,12,8,24,12,4,24,4,4],[
64864800,5760,6240,226800,72,32,80,960,288,48,16,12,4,16,8,8,4,8,4,4,4],[
62270208,11520,16128,48,384,48,48,48],[62270208,145152,16128,48,8064,192,48,24
],[62270208,2304,16128,48,4,4,48,4],[57657600,26880,604800,10080,288,960,96,96
,10080,288,288,96,96,96,288,96],[57657600,241920,604800,10080,288,26880,3360,
2880,10080,288,288,3360,480,96,288,96],[57657600,3840,604800,10080,288,240,192
,48,240,10080,288,288,48,240,48,48,288,48],[57657600,3840,604800,10080,288,384
,32,384,10080,288,288,32,96,32,288,32],[57657600,241920,403200,5040,144,288,
26880,3360,144,3360,96,48,72,24,3360,48,24,24,24],[57657600,3840,201600,288,
288,96,384,96,72,24,96,24,24,24],[57657600,3840,201600,288,288,192,4,8,12,96,
72,24,2,6,4,2,24,2],[57657600,3840,604800,10080,288,640,48,16,48,10080,288,288
,16,48,16,16,288,16],[57657600,3840,10080,108,288,96,24,12,288,72,36,24,12,12,
12,36,12],[57657600,3840,403200,5040,144,288,96,24,48,3360,96,48,72,24,24,48,
12,12,24,12],[57657600,3840,403200,5040,144,288,240,192,48,384,3360,96,48,72,
24,48,48,24,12,24,12],[57657600,3840,201600,5040,72,504,240,192,48,12,72,144,
72,72,18,36,48,12,6,6,6,18,6],[57657600,11520,604800,10080,288,1728,288,48,
10080,288,288,288,48,48,288,48],[57657600,11520,10080,108,288,288,48,36,288,72
,36,24,12,48,36,12],[57657600,11520,403200,5040,144,288,1152,144,48,48,3360,96
,48,72,24,96,16,24,8,16,24,8],[57657600,11520,201600,5040,72,504,576,144,84,24
,72,144,72,72,18,36,24,24,6,12,12,24,18,6],[57657600,26880,5040,720,240,48,288
,72,96,24,72,24],[57657600,3840,5040,720,96,240,288,72,96,24,72,24],[57657600,
3840,5040,720,32,48,288,72,32,8,72,8],[57657600,3840,216,504,96,12,96,72,6,96,
6,6,6],[57657600,3840,216,504,96,12,96,72,6,96,6,6,6],[57657600,3840,216,504,
16,12,96,72,6,8,4,6,2],[57657600,3840,216,504,16,12,96,72,6,8,4,6,2],[57657600
,3840,5040,720,48,4,12,288,72,4,4,72,4],[57657600,80640,604800,10080,288,4480,
1920,96,10080,288,288,160,16,96,288,16],[57657600,1280,604800,10080,288,80,128
,80,8,10080,288,288,80,8,8,8,288,8],[57657600,80640,403200,5040,144,288,560,
1920,96,3360,96,48,72,24,32,8,96,24,8],[57657600,1280,403200,5040,144,288,64,
128,80,8,3360,96,48,72,24,16,16,4,8,24,4],[57657600,1280,201600,5040,72,504,8,
128,80,8,72,144,72,72,18,36,8,2,2,2,8,18,2],[57657600,1280,403200,5040,144,288
,16,32,8,3360,96,48,72,24,16,4,4,8,24,4],[57657600,1280,10080,108,288,4,32,8,
288,72,36,4,4,4,8,36,4],[57657600,26880,5040,72,24,48,72,36,24,12,36,12],[
57657600,3840,5040,72,24,240,72,36,24,12,36,12],[57657600,3840,5040,72,8,48,72
,36,8,4,36,4],[57657600,3840,201600,72,72,24,384,18,12,3,6,12,3,3],[57657600,
3840,288,24,12,72,12,3,6,12,3,3],[57657600,3840,288,24,12,72,12,3,6,12,3,3],[
57657600,3840,5040,720,240,12,12,288,72,12,12,72,12],[57657600,3840,5040,324,
72,240,12,12,72,9,12,3,9,3],[57657600,3840,216,504,24,4,8,12,96,72,6,6,4,2,6,2
],[57657600,3840,216,504,24,4,8,12,96,72,6,6,4,2,6,2],[56609280,120,2,2],[
55598400,2880,1440,2160,1440,180],[55598400,77760,2880,8640,2160,576,432,270,
144,54,18,18,18,18,18,18],[55598400,77760,8640,2880,77760,576,576,270,576,18,
54,18,18,18,18,18],[55598400,25920,5760,5760,192,144,720,270,48,36,36,6,6,6,6,
6],[55598400,129600,77760,2160,720,270,720,30,18,18,6,6],[55598400,25920,2880,
2880,192,720,144,270,48,18,18,6,6,6,6,6],[55598400,77760,5760,2160,192,144,270
,48,36,18,18,6,6,6],[55598400,77760,5760,77760,144,144,270,144,36,18,18,6,6,6]
,[51891840,362880,1814400,362880,40320,40320,40320,362880,40320],[51891840,
362880,15120,10080,40320,5040,40320,10080,5040],[51891840,5760,15120,960,60,48
,12,240,12],[51891840,5760,648,48,60,72,12,12,6],[51891840,5760,324,128,60,12,
12,8,4],[51891840,5760,324,128,60,12,12,8,4],[51891840,5760,648,48,60,12,12,12
,2],[51891840,5760,324,96,60,36,20,12,2],[51891840,120960,181440,10080,6720,
1440,6720,1440,120,720,120,120],[51891840,120960,1512,288,6720,72,6720,72,12,
48,12,12],[51891840,120960,181440,288,6720,1440,6720,32,120,48,120,8],[
51891840,120960,1512,288,6720,72,6720,8,12,48,12,4],[51891840,1920,181440,64,
10,192,2,32,10,2,2,2],[51891840,72576,725760,72576,6720,96,72576,480,96,96],[
51891840,72576,6048,2016,6720,96,2016,48,16,16],[51891840,72576,6048,72576,
6720,96,432,48,96,12],[51891840,1152,6048,192,6720,192,48,48,32,8],[51891840,
72576,181440,72576,6720,864,96,864,120,96,24,24],[51891840,120960,181440,3360,
6720,1440,6720,96,120,240,120,12],[51891840,120960,1512,3360,6720,72,6720,24,
12,240,12,12],[51891840,1920,181440,320,6720,192,32,32,120,16,8,4],[51891840,
120960,1512,96,6720,72,6720,24,12,16,12,4],[51891840,1920,181440,320,10,192,2,
32,10,2,2,2],[51891840,193536,5760,181440,1920,6720,4032,288,1440,6720,96,96,
96,120,96,120,12,12,12],[51891840,120960,5760,1152,1512,384,6720,72,72,72,6720
,192,192,24,12,192,12,12,12,12],[51891840,1920,6912,1512,64,6720,72,24,24,64,
96,192,8,12,16,4,4,12,4],[51891840,72576,7680,1512,384,6720,504,72,24,256,96,
24,12,32,4,12,4,4],[51891840,72576,7680,181440,288,6720,4032,288,192,128,96,48
,120,16,8,12,12,4],[51891840,193536,5760,1512,1920,6720,504,24,72,6720,96,96,
24,12,96,12,4,4,4],[51891840,6912,1920,181440,64,10,1152,192,10,2,2,32,10,2,2,
10,2,2],[51891840,24192,181440,2016,6720,288,32,288,120,16,8,8],[51891840,
169344,181440,6048,6720,8064,288,224,288,120,48,24,8,8],[51891840,72576,1536,
1512,192,6720,504,72,24,256,96,24,12,32,12,4,4,4],[51891840,24192,11520,181440
,288,6720,576,288,192,32,32,120,16,24,8,8],[51891840,5760,6144,1512,64,6720,72
,24,24,192,96,64,8,12,16,12,4,4,4],[51891840,145152,1920,181440,640,6720,1728,
192,6720,32,32,64,120,32,120,8,8,8],[51891840,24192,3840,181440,320,6720,288,
384,64,32,32,120,32,16,8,8],[51891840,120960,1920,384,1512,128,6720,24,72,24,
6720,64,64,8,12,64,12,4,4,4],[51891840,24192,181440,288,6720,288,32,32,120,16,
8,8],[49420800,345600,2880,240,2880,24,24,24],[49420800,172800,10080,864,240,
288,240,12,12,12],[49420800,11520,432,240,144,240,12,12,12],[49420800,172800,
432,432,240,108,6,12,12,6],[49420800,1440,216,864,240,36,12,6,12,6],[48648600,
204120,9720,9720,204120,3240,3240,3240,648,1944,1944,648,648,648,3240,1944,648
,648,3240,648,648,648,648,648,648,648,648,648,3240,648,648,648,648,648,648,648
,648,648,648,648,648,648],[48648600,226800,6120,136080,7560,3240,1560,1320,
2520,840,2520,1080,360,1320,2520,120,840,600,360,360,120,600,1080,120,120,360,
360,120,600,360,360,360,120,120,120,120],[48648600,226800,6120,18900,2520,720,
1800,180,216,360,2520,1800,360,180,72,360,360,36,360,360,360,36,180,36,36,360,
360,36,360,360,36,36,36],[48648600,226800,2880,3240,136080,7560,1080,1080,1320
,192,48,2520,120,48,1080,360,1080,24,16,2520,120,120,8,24,32,8,120,120,16,24,8
,1080,120,120,24,120,120,16,24,8,8,8,8,120,24,8,8,8],[48648600,136080,4320,
3240,7560,360,360,360,96,96,240,48,64,72,600,16,360,32,8,120,24,16,16,8,24,24,
120,40,8,16,16,8,120,240,16,8,8,8,8,120,8,8,8,120,16,8,8,16,8,8,8,8,8,8,120,8,
8],[48648600,136080,1440,6120,7560,2520,840,360,96,96,48,48,16,72,360,32,2520,
360,32,8,360,16,8,24,360,24,360,16,16,360,360,360,8,16,8,8,8,8,8,360,360,8,16,
360,360,8,8,8,8,8],[48648600,45360,2880,6120,1440,360,120,144,96,48,80,72,40,
2520,360,32,1260,32,8,120,8,12,24,8,24,120,24,60,16,16,20,12,4,8,120,180,8,8,
20,4,8,120,60,8,4,8,60,8,4,8,4,8,16,4,8,4,4,4,4,4,8,60,4,4,4],[48648600,226800
,2880,3240,18900,360,240,1800,192,180,48,216,120,16,1800,120,180,24,16,24,48,
120,8,8,12,16,8,8,120,16,36,8,8,180,36,12,8,120,12,16,8,8,8,8,8,8,12,8,12,8,4]
,[48648600,136080,1440,6120,136080,2160,1080,1080,48,32,72,24,72,360,32,1260,
1080,1080,8,12,8,72,360,8,180,16,12,4,12,8,180,8,8,8,20,4,1080,180,8,8,12,180,
8,4,8,12,8,4,8,4,4,4,180,12,8,4,4,4,4],[48648600,136080,2880,4680,136080,1080,
1080,1080,48,72,80,72,56,1080,1080,48,8,24,72,8,8,24,8,24,8,24,8,8,8,24,8,1080
,8,8,24,8,8,8,24,8,8,8,8,24,8,8,8,8],[48648600,136080,2880,4680,136080,1080,
1080,1080,48,72,80,72,56,1080,1080,48,8,24,72,8,8,24,8,24,8,24,8,8,8,24,8,1080
,8,8,24,8,8,8,24,8,8,8,8,24,8,8,8,8],[48648600,45360,4320,4680,360,360,120,144
,96,48,48,72,96,2520,56,32,8,120,48,8,24,16,8,24,24,8,32,8,8,8,24,24,120,8,8,
24,8,8,120,8,8,8,8,8,8,8,16,8,8,8,8,8,8,8,8,8],[48648600,45360,4320,4680,360,
360,120,144,96,48,48,72,96,2520,56,32,8,120,48,8,24,16,8,24,24,32,8,8,8,8,24,
24,120,8,8,24,8,8,120,8,8,8,8,8,8,8,16,8,8,8,8,8,8,8,8,8],[48648600,45360,4320
,4680,360,360,120,144,96,48,48,72,96,72,240,40,32,8,120,48,8,24,16,8,24,16,8,
12,8,8,8,4,8,8,24,120,8,8,8,16,8,8,60,8,4,4,4,4,8,4,8,8,8,8,8,8,8,8,4,4,4,4,4,
4,4],[48648600,45360,4320,4680,360,360,120,144,96,48,48,72,96,72,240,40,32,8,
120,48,8,24,16,8,24,16,8,12,8,8,8,4,8,8,24,120,8,8,8,16,8,8,60,8,4,4,4,4,8,4,8
,8,8,8,8,8,8,8,4,4,4,4,4,4,4],[48648600,45360,2880,6120,1440,360,120,144,96,48
,80,72,40,72,120,48,1260,32,8,120,8,12,24,8,120,60,16,16,12,20,4,4,4,8,8,60,8,
8,8,28,4,8,8,4,8,4,4,60,8,4,4,4,16,4,8,8,4,4,4,4,4,4,4,8,4,4],[48648600,45360,
2880,6120,1440,360,120,144,96,48,80,72,40,72,120,48,1260,32,8,120,8,12,24,8,
120,60,16,16,12,20,4,4,4,8,8,60,8,8,8,28,4,8,8,4,8,4,4,60,8,4,4,4,16,4,8,8,4,4
,4,4,4,4,4,8,4,4],[48648600,136080,2880,4680,3780,360,240,1080,144,324,80,72,
56,120,48,72,108,24,24,8,8,12,8,24,24,24,8,12,24,8,8,36,4,4,12,12,8,24,8,8,8,8
,8,4,12,4,4,4],[48648600,136080,2880,4680,3780,360,240,1080,144,324,80,72,56,
120,48,72,108,24,24,8,8,12,8,24,24,24,8,12,24,8,8,36,4,4,12,12,8,24,8,8,8,8,8,
4,12,4,4,4],[48648600,136080,4320,3240,7560,360,360,360,96,96,240,48,64,72,120
,48,360,32,8,120,24,16,16,8,24,24,120,16,16,8,8,16,8,8,8,120,16,8,24,8,8,8,8,8
,8,120,16,8,8,8,8,8,8,8,8,8,4,4,8,4,4,4],[48648600,136080,4320,3240,3780,1080,
144,96,144,324,56,72,120,48,24,24,72,108,8,12,24,8,8,8,8,24,4,12,12,8,120,12,
24,8,4,36,12,4,12,8,4,12,12,4,4,4,4,4,8,4,4,6,6,4,2,2,2],[48648600,158760,4680
,6840,7560,2520,720,1080,72,456,288,96,216,168,360,24,2520,360,48,360,72,24,72
,72,168,168,24,24,24,360,360,24,24,24,24,24,360,24,360,360,24,24,24,24,24,168,
24,24,360,360,24,24,24,24,24,24,24,24,24,24,24,360,24,24,24,24,24,24,24,24,360
,24,24,24,24,24,24,24],[48648600,158760,7560,3960,7560,360,240,1080,72,264,672
,32,432,216,184,120,40,360,16,120,48,48,80,72,24,72,72,48,24,104,8,8,72,120,24
,24,16,16,8,8,40,16,16,24,24,16,120,40,8,8,16,16,16,16,24,48,24,8,24,120,40,8,
8,8,8,16,16,16,16,16,16,8,8,8,8,24,8,8,8,8,8,24,24,8,8,8,8,8,8,8,16,16,16,8,8,
8,8,24,8,8,8,8,8,16,8,8,16,8,8,8,8],[48648600,68040,6120,6840,1440,480,360,120
,264,192,112,216,144,72,208,120,40,1260,24,16,16,8,120,48,48,24,24,16,24,108,
96,8,24,24,24,36,120,60,16,16,8,24,28,12,12,20,20,24,24,16,60,16,16,8,16,24,28
,12,20,84,8,8,8,12,60,16,8,4,8,8,8,8,8,12,4,4,16,12,8,4,20,4,12,12,12,12,4,8,
12,12,4,4,8,8,8,8,8,8,16,16,8,16,8,8,8,8,12,4,4,8,8,8,12,8,8,4,4,4,8,8,4,4,8,4
,4,8,4,4,4],[48648600,68040,7560,5400,360,240,360,120,168,384,80,432,144,72,
216,240,32,24,16,8,72,72,64,24,16,24,48,24,48,16,16,24,72,60,60,20,20,28,12,12
,28,12,20,20,180,12,12,20,120,120,8,24,16,8,16,8,24,16,24,8,8,24,16,8,4,16,16,
8,8,8,4,4,12,8,4,16,8,8,12,8,8,8,8,4,8,8,16,16,60,4,4,12,12,12,12,4,4,12,4,20,
12,4,12,8,8,8,8,12,4,12,12,4,4,8,8,4,4,8,8,4,4,8,4,4,4,8,4,4],[48648600,68040,
3240,9720,720,360,312,72,288,48,72,432,216,48,360,24,72,48,24,24,24,24,48,24,
48,72,72,48,24,24,24,360,24,24,24,24,24,72,48,24,24,24,24,24,24,24,24,24,24,24
,24,24,24,24],[48648600,158760,1800,9720,7560,360,720,1080,264,264,96,64,504,
144,24,2520,72,120,8,360,48,32,16,16,120,72,56,72,72,24,8,8,8,48,240,96,48,48,
16,120,24,24,8,8,8,8,8,120,120,8,8,8,24,24,8,24,16,8,120,24,24,8,8,8,8,8,8,8,8
,8,8,8,24,24,16,8,8,16,8,8,24,8,8,8,8,8,8,24,8,8,8,8],[48648600,385560,1080,
9720,68040,37800,1080,6840,504,696,72,72,1512,216,2520,72,1080,5400,72,72,72,
72,72,504,408,504,1224,216,2520,360,72,72,72,24,24,24,360,72,24,24,1080,216,
360,408,72,72,72,360,72,72,72,24,24,24,24,24,24,24,24,72,24,24,360,72,24,72,24
,24,24,24,24,24],[48648600,204120,5400,8280,68040,7560,360,1320,2520,216,792,
648,168,216,648,216,168,120,24,1080,360,360,72,72,120,72,120,72,72,120,72,216,
72,216,216,72,120,24,72,216,120,24,24,24,24,24,120,24,24,24,24,24,216,72,72,48
,24,72,72,72,72,48,24,120,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,72,24,24,24,24,24,24,24,24,24],[48648600,113400,9720,5400,68040,1440,600,
840,72,792,936,120,864,384,120,24,1260,360,648,24,72,120,72,72,336,72,72,252,
288,120,24,72,252,120,60,24,24,24,24,12,12,12,12,12,60,24,24,12,12,12,252,288,
72,48,24,24,48,24,252,60,12,12,12,12,12,24,12,12,12,12,24,12,12,12,12,24,12,12
,12,12,24,12,12,12,252,24,12,24,12,12,12,12,12,12,12,12],[48648600,249480,3240
,9720,136080,7560,1080,2160,3480,360,936,432,192,648,216,72,1260,108,2160,360,
432,72,192,192,72,1080,216,72,360,216,72,72,72,72,216,1260,60,108,36,36,36,36,
12,36,12,60,12,36,36,36,12,1080,216,72,192,72,72,72,72,72,60,36,36,36,12,12,12
,12,12,12,12,12,36,36,12,12,12,12,12,36,12,12,12,72,72,12,36,12,12,12,12,12,12
,12,12],[48648600,113400,5400,3960,68040,360,600,840,72,504,648,120,216,168,
2520,216,360,360,24,72,120,72,72,120,72,72,72,120,24,72,120,24,72,72,72,24,72,
72,48,24,24,48,24,120,24,24,24,72,24,24,24,24,24,24,24,24,24],[48648600,158760
,3240,5400,136080,1080,1440,1800,216,648,432,144,72,1260,108,120,24,1440,432,
144,144,1080,216,72,72,72,72,120,60,24,24,24,12,36,36,36,12,24,24,1080,144,72,
72,72,60,12,12,12,12,36,24,24,24,24,12,12,12,72,24,12,12,12,12,12,12],[
48648600,113400,5400,3960,68040,360,600,840,72,504,648,120,216,168,240,48,360,
360,24,72,120,72,72,120,72,72,72,120,24,72,120,48,48,24,24,24,72,72,48,24,24,
48,24,60,12,12,12,48,24,24,24,24,24,12,12,12,12],[48648600,340200,3240,5400,
37800,5400,360,360,288,72,1080,48,48,5400,24,24,24,360,360,360,1080,48,48,24,
24,48,24,24,1080,24,360,360,24,48,24,24,24,24,24,360,24,24,24,24,24],[48648600
,68040,4680,8280,1080,960,360,312,360,288,208,144,144,72,168,2520,72,16,24,112
,48,8,360,96,96,48,96,16,24,72,24,120,72,24,48,48,24,16,8,8,8,120,16,24,24,8,8
,8,72,24,48,8,24,48,120,8,16,8,8,24,16,8,8,8,16,8,8,8,8,8,24,16,8,8,8,8,8,8,8]
,[48648600,158760,4680,6840,7560,1080,720,1080,264,456,288,192,144,216,168,144
,120,8,360,96,48,360,96,96,48,96,72,24,72,72,72,24,120,72,48,48,120,24,8,8,8,8
,120,8,8,8,8,24,16,72,24,48,24,24,48,16,16,8,8,120,24,8,8,8,8,8,8,8,8,16,8,8,
24,16,8,8,8,8,8,8,8,8],[48648600,158760,3240,8280,136080,1080,1680,1800,312,
648,432,160,144,72,72,144,16,1440,432,24,160,144,8,1080,16,216,72,72,72,72,24,
144,16,24,16,8,8,8,16,8,24,16,8,8,1080,144,8,72,72,72,16,16,8,8,24,16,8,8,8,8,
16,8,8,8,8,8,72,16,8,8,8,8,8,8,8],[48648600,113400,5400,6840,68040,360,840,840
,168,504,648,136,216,144,72,168,1260,108,120,8,360,360,24,40,72,8,120,72,72,
120,72,16,72,72,120,24,72,24,72,24,24,8,24,16,8,8,8,120,60,8,8,8,4,12,12,12,12
,72,72,48,24,24,8,48,24,60,12,4,8,4,8,4,12,12,16,4,4,8,4,4,4,8,8,8,8,8,8,8,4,4
,24,8,8,4,4,8,4,4,4,4,4,4],[48648600,204120,5400,5400,68040,7560,360,600,1560,
120,600,648,120,216,216,168,1260,108,16,360,360,360,24,72,120,72,72,120,72,72,
24,120,72,72,120,24,72,1260,60,36,12,36,36,12,4,12,16,4,8,8,60,16,4,12,12,12,
12,8,8,72,72,48,24,24,24,48,24,8,8,8,8,8,60,12,16,4,4,4,12,12,12,4,4,4,4,8,8,8
,8,8,4,4,24,8,8,4,4,8,4,4,4,4,4,4],[48648600,158760,4680,6840,136080,2160,1440
,1800,216,744,432,144,144,360,24,1260,1440,432,144,144,1080,216,84,144,72,72,
72,360,180,24,24,12,12,12,180,24,12,12,1080,84,144,72,72,72,180,12,12,180,12,
12,24,12,12,12,12,12,72,180,12,12,12,12,12,12],[48648600,158760,6120,5400,
136080,1080,1440,1800,216,648,528,144,216,120,48,1440,432,144,144,1080,24,216,
24,72,72,72,72,36,24,24,24,24,12,12,24,24,12,1080,144,72,72,72,12,24,12,12,24,
12,12,12,12,12,12,72,24,12,12,12,12,12],[48648600,68040,7560,5400,1080,720,360
,216,360,384,192,360,216,240,32,96,48,360,96,96,72,96,24,24,72,24,120,72,36,24
,24,32,8,16,8,12,12,120,16,8,16,8,4,72,24,48,24,48,12,60,4,12,8,4,8,8,16,16,12
,12,4,4,4,8,8,4,8,24,8,4,4,8,8,4,4,4,4],[48648600,68040,6120,6840,2160,720,360
,216,456,288,192,144,240,120,40,1260,96,48,360,96,96,48,96,24,84,144,24,120,72
,120,60,16,16,8,24,20,4,4,8,8,60,8,16,20,4,8,84,72,24,48,24,48,8,8,12,60,4,8,4
,8,4,20,4,4,8,8,8,8,8,8,4,24,8,12,4,4,4,8,4,4,4,4],[48648600,340200,1800,6840,
37800,360,240,5400,360,456,96,32,1080,24,144,120,8,5400,16,120,360,360,360,
1080,24,8,8,8,48,48,120,24,8,8,8,8,120,8,8,8,8,24,16,1080,360,360,8,24,24,8,8,
120,24,8,8,8,8,8,8,8,8,16,8,8,360,24,8,8,8,8,8,8,8,8],[48648600,249480,3240,
6840,136080,7560,1080,1440,2520,264,744,432,144,216,72,2520,72,120,8,1440,360,
432,144,144,1080,72,24,264,72,72,72,72,72,2520,120,72,24,24,24,24,8,120,8,8,8,
120,120,8,8,8,24,24,8,1080,24,144,72,72,72,120,120,8,8,8,8,8,120,120,8,8,8,8,8
,24,24,8,8,8,8,8,8,8,72,120,8,8,8,8,8,8,8,8,8,8],[48648600,204120,1080,9720,
68040,7560,1320,2520,312,504,72,88,792,288,1260,108,120,8,1080,360,72,96,88,72
,80,216,88,216,216,240,120,72,24,24,16,12,24,4,8,120,60,8,8,8,4,12,12,12,12,
216,72,72,80,72,60,12,12,4,4,4,4,4,24,12,8,4,4,4,4,8,8,12,12,8,4,4,8,8,4,4,72,
12,4,4,4,8,4,4,4,4,4,4],[48648600,113400,5400,3960,68040,360,360,840,72,504,
360,24,216,72,240,48,360,360,24,24,72,72,72,60,60,12,12,12,12,12,12,12,12,12,
180,36,36,36,120,120,24,24,48,48,24,24,24,24,72,24,12,12,12,12,12,12,12,60,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,48,24,24,24,24,24,24,36,36,36,24,24,12,
12,12,12,12,12,12,12,12],[48648600,136080,7560,7560,2520,960,360,72,36,1260,36
,360,2520,360,360,12,120,24,24,360,360,12,12,360,360,360,12,12,360,360,12,12,
12,360,12,12,12,12,360,12,12,12,12,12],[48648600,136080,2880,4680,7560,360,480
,360,192,72,36,48,1260,36,120,16,360,120,24,16,12,120,24,24,120,8,8,12,12,16,8
,120,16,12,8,8,12,120,12,12,16,12,8,8,8,8,12,12,4,4,8,12,12,4,4,4],[48648600,
45360,2880,6120,360,240,120,48,96,32,144,36,48,1260,36,240,8,8,24,8,8,12,24,60
,24,8,60,12,4,12,4,12,4,4,180,4,120,120,8,12,8,12,12,8,4,4,4,8,4,4,60,8,4,4,12
,12,6,2,6,2,4,4,4,6,2,6,2,2],[48648600,45360,2880,6120,360,480,120,48,144,36,
80,1260,36,24,120,48,8,24,12,48,8,8,8,12,8,8,4,8,24,8,12,8,8,8,4,12,8,4,4,8,8,
8,8,8,4,4,4,4,8,4,4,4,4,4],[48648600,45360,2880,6120,360,480,120,48,144,36,80,
1260,36,24,120,48,8,24,12,48,8,8,8,12,8,8,4,8,24,8,12,8,8,8,4,12,8,4,4,8,8,8,8
,8,4,4,4,4,8,4,4,4,4,4],[48648600,4320,5400,168,144,108,72,300,20,36,72,12,12,
12,18,20,6,20,180,12,20,12,6,2,6,20,12,12,12,6,2,2,6,2,2,2,12,6,2,2,2,2,2,2],[
48648600,4320,5400,168,144,108,72,300,20,36,72,12,12,12,18,20,6,20,180,12,20,
12,6,2,6,20,12,12,12,6,2,2,6,2,2,2,12,6,2,2,2,2,2,2],[48648600,2880,6840,360,
168,32,108,64,180,28,36,24,24,8,60,12,4,18,8,12,6,16,4,12,4,12,8,8,4,4,6,2,6,
12,4,4,8,4,4,4,4,4,6,2,2,2,2,6,2,4,6,2,2,2,2,2,2],[48648600,2880,6840,360,168,
32,108,64,180,28,36,24,24,8,60,12,4,18,8,12,6,4,16,12,4,12,8,8,4,4,6,2,6,12,4,
4,8,4,4,4,4,4,6,2,2,2,2,6,2,4,6,2,2,2,2,2,2],[48648600,136080,4320,3240,7560,
240,360,288,144,72,36,24,1260,36,24,360,24,12,12,120,24,24,12,12,24,4,4,12,12,
24,12,12,4,24,4,4,12,12,12,12,4,4,2,2,2,2,12,4,4,2,2,2,2,2],[48648600,68040,
3240,1080,360,24,72,288,72,48,3780,324,24,24,24,24,48,180,12,36,36,36,36,24,24
,24,12,12,36,12,12,12,12,12],[48648600,226800,3240,136080,7560,1080,1080,1320,
2520,144,120,1080,360,1080,2520,120,120,120,120,24,12,1080,120,120,24,120,120,
12,120,12,12,12],[48648600,226800,3240,18900,360,240,1800,180,72,600,1800,120,
180,24,120,12,120,240,12,12,180,120,12,12,120,12,12,12,120,12,12],[48648600,
136080,1440,3240,7560,360,360,360,96,96,48,48,16,216,120,360,32,8,120,16,8,24,
24,120,120,24,8,12,8,24,8,8,120,8,12,8,12,12,4],[48648600,226800,3240,18900,
360,240,1800,180,72,120,32,1800,120,180,24,120,12,120,12,16,12,180,12,12,8,120
,12,12,12,8,12,4],[48648600,45360,1440,4680,360,360,120,144,96,48,48,72,16,
2520,40,32,8,120,8,16,8,24,24,8,120,8,16,4,8,120,8,4,8,8,4,8,4,4,4],[48648600,
136080,4680,3780,360,240,1080,144,324,72,40,120,72,108,24,12,8,8,12,16,4,36,4,
4,8,12,8,4,4,8,4,4],[48648600,136080,4680,3780,360,240,1080,144,324,72,40,120,
72,108,24,12,8,8,12,16,4,36,4,4,8,12,8,4,4,8,4,4],[48648600,136080,4680,136080
,1080,1080,1080,48,72,72,40,1080,1080,8,72,8,8,8,8,16,4,1080,8,8,4,8,8,4,8,4,4
,4],[48648600,45360,2880,3240,120,120,48,96,144,32,72,72,40,72,120,32,8,16,12,
8,8,8,12,8,4,120,8,16,12,4,8,4,4,8,4,12,4,4,4,2],[48648600,136080,2880,1800,
7560,120,360,96,144,32,72,40,216,8,360,8,16,12,8,8,24,24,8,8,24,8,4,4,24,4,4,8
,8,4,4,4,4,2],[48648600,317520,7560,136080,18900,1080,1800,3720,396,108,3780,
108,120,1800,1800,1080,252,108,3780,360,108,60,60,120,36,12,120,360,36,60,1080
,180,108,120,120,12,12,12,120,360,12,36,36,36,36,60,36,36,36,12,12,120,12,12,
36,36,12,12,12,12,12],[48648600,226800,9000,136080,3780,1080,1800,3000,144,540
,108,1260,180,8,1800,1080,72,180,108,1260,180,60,60,24,36,8,4,8,36,60,24,1080,
108,36,8,4,8,4,4,36,36,36,8,4,60,24,12,12,36,12,4,4,8,4,4,36,12,4,4,4,4,4],[
48648600,226800,1440,7560,18900,360,600,1800,96,288,48,80,396,108,16,1260,180,
120,1800,32,24,24,120,72,180,16,8,36,180,24,96,36,12,20,120,24,12,4,120,8,12,
36,24,24,180,12,8,12,12,8,8,4,120,12,12,12,8,4,4,4,36,24,12,12,8,4,12,12,4,12,
8,4,4,12,12,4,4,4,4],[48648600,136080,1440,9000,3780,360,600,1080,240,288,48,
80,540,108,16,3780,108,8,32,24,24,120,72,72,108,16,8,36,180,96,24,12,36,20,24,
8,4,4,360,8,8,12,36,24,36,12,8,120,12,8,4,4,12,12,8,4,8,4,4,4,36,24,12,12,8,36
,4,12,4,8,4,4,4,12,4,12,4,4,4],[48648600,272160,2160,6120,68040,18900,720,2520
,240,216,40,396,108,24,2520,144,8,540,1800,144,20,12,36,216,24,12,72,1890,270,
54,18,54,42,30,10,6,8,10,4,180,8,4,24,48,12,12,180,54,6,12,12,6,4,4,4,2,4,180,
6,8,4,8,8,6,4,2,2,36,18,18,12,12,10,6,18,18,2,6,6,4,2,4,4,2,2,18,6,2,6,4,6,2,2
,2,2,2,2],[48648600,181440,2160,7560,68040,3780,720,1800,144,240,216,40,540,
108,24,2520,144,120,540,144,20,12,36,72,144,24,12,72,630,90,90,54,18,30,42,22,
6,12,8,10,120,180,4,24,48,12,12,54,36,6,12,60,12,6,4,4,4,2,12,6,8,8,8,6,4,2,2,
18,18,12,12,12,10,6,12,18,18,2,6,12,6,2,6,4,4,2,6,2,6,6,4,2,2,2,2,6,2,2],[
48648600,136080,4680,7560,360,480,360,72,36,1260,180,600,360,120,12,120,24,24,
120,12,12,120,240,24,12,120,24,120,12,12,12,12,120,12,12,12],[48648600,136080,
4680,7560,360,480,360,72,36,1260,180,120,32,360,120,12,120,24,24,120,12,12,120
,24,12,16,24,8,120,12,12,12,12,12,8,12,4],[48648600,45360,6120,360,480,120,48,
144,36,1260,36,72,120,8,12,48,8,12,8,4,8,12,16,16,4,8,12,8,4,4,4,8,4,4,4],[
48648600,45360,6120,360,480,120,48,144,36,1260,36,72,120,8,12,48,8,12,8,4,8,12
,16,16,4,8,12,8,4,4,4,8,4,4,4],[48648600,113400,1080,8280,68040,840,840,264,
216,72,56,288,144,144,120,24,360,72,48,56,24,16,32,72,48,144,16,24,24,8,8,120,
24,24,24,8,24,16,24,24,24,16,8,24,24,8,8,8,8,8,8,8,16,24,24,24,24,8,8,24,8,8,8
,8,8,8,8],[48648600,204120,1080,6840,68040,7560,600,1560,216,312,72,40,360,72,
2520,216,360,360,72,24,40,24,8,72,40,120,72,24,1260,180,108,36,36,12,12,20,12,
4,120,16,48,48,48,24,24,24,8,24,12,8,4,60,12,4,4,4,4,12,12,12,12,4,4,12,4,4,4,
12,36,16,12,16,12,4,12,4,4,4,4,8,4,12,4,4,4,4],[48648600,158760,1800,6840,7560
,360,480,1080,168,264,96,48,360,72,24,3780,180,360,24,16,16,8,120,72,40,72,72,
24,8,8,8,24,120,48,48,24,24,8,24,8,420,4,12,84,36,36,24,8,8,120,12,8,8,4,12,12
,4,4,8,4,4,12,12,8,8,4,4,8,72,4,24,28,12,4,24,4,4,4,4,8,4,12,4,4,4,4],[
48648600,158760,1800,3960,7560,360,240,1080,72,264,96,32,216,24,120,8,360,16,
120,72,24,72,72,24,8,8,8,120,8,8,8,120,8,8,8,8,24,8,120,8,8,8,8,8,8,8,8,8,8,8,
8,8,8],[48648600,68040,3240,3960,240,360,120,72,288,16,72,144,72,48,120,8,24,
16,8,24,24,24,16,24,48,24,16,8,8,120,8,8,8,12,4,24,8,16,8,8,8,8,8,12,4,4,4,4,4
,8,4,4,4,4,4],[48648600,158760,1800,3960,7560,360,240,1080,72,264,96,32,216,24
,120,8,360,16,120,72,24,72,72,24,8,8,8,120,8,8,8,120,8,8,8,24,24,8,120,8,8,8,8
,8,8,24,8,8,8,24,8,8,8],[48648600,158760,1800,3960,7560,360,240,1080,72,264,96
,32,216,24,144,360,24,360,16,120,72,24,72,72,24,8,8,8,120,8,8,8,360,24,24,24,8
,24,16,24,8,24,16,8,8,120,8,8,8,8,8,24,8,24,8,24,8,8,8,8,8],[48648600,68040,
3240,3960,240,360,120,72,288,16,72,144,72,48,2520,216,120,8,24,16,8,24,24,24,
16,24,48,24,16,8,8,120,120,8,8,8,8,24,24,24,24,24,8,24,16,8,16,16,8,8,8,8,8,8,
8,24,8,8,8,8,8,8,8,8],[48648600,113400,1080,2520,68040,360,840,72,216,72,24,
2520,72,360,40,360,72,24,24,72,360,120,40,40,40,24,24,8,24,24,24,120,8,8,8,24,
24,24,40,8,24,24,8,24,24,8,8,8,8],[48648600,113400,1080,2520,68040,360,840,72,
216,72,24,2520,216,120,24,360,72,24,24,72,120,120,24,8,8,16,48,48,48,24,8,8,24
,60,4,4,12,4,36,8,8,16,12,16,12,8,4,12,8,4,4,4,4,4,4],[48648600,158760,1800,
3960,7560,360,240,1080,72,264,96,32,216,24,2520,72,120,40,360,16,120,72,24,72,
72,24,8,8,8,120,8,8,8,120,360,40,8,8,72,24,24,16,16,24,8,16,8,8,120,8,8,8,8,8,
72,16,8,24,24,24,8,8,8,8,8],[48648600,158760,3240,2520,7560,1080,72,168,288,72
,216,48,2520,216,16,360,24,24,24,72,24,72,72,48,16,8,8,360,16,8,24,72,24,40,8,
8,24,24,24,16,8,16,16,8,8,8,8,72,8,8,24,24,24,8,8,8,8,8],[48648600,204120,1080
,3960,68040,7560,360,1560,120,312,72,24,216,1260,108,120,40,360,360,72,24,24,
72,24,120,72,1260,60,36,12,12,12,12,4,120,60,40,24,24,4,12,12,12,12,32,32,24,
24,12,8,4,4,8,60,12,12,4,4,4,4,4,24,32,24,24,4,4,24,4,4,4,4,8,4,4],[48648600,
113400,1080,5400,68040,600,840,168,216,72,40,144,72,1260,252,16,360,72,24,40,
24,8,16,72,24,72,8,12,4,60,16,20,60,36,36,28,8,8,24,8,12,8,4,4,4,12,4,4,4,4,8,
36,8,20,12,12,12,4,12,4,4,4,4,4],[48648600,158760,1800,3960,7560,360,240,1080,
72,264,96,32,216,24,120,72,360,16,120,72,24,72,72,24,8,8,8,120,8,8,8,120,8,8,8
,32,32,16,24,8,16,8,120,8,8,8,8,8,8,16,16,8,8,8,8,8],[48648600,158760,1800,
3960,7560,360,240,1080,72,264,96,32,216,24,120,72,360,16,120,72,24,72,72,24,8,
8,8,120,8,8,8,120,72,8,8,32,32,24,8,16,120,8,8,8,8,8,32,8,8,8,8,16,8],[
48648600,68040,4680,2520,360,240,360,24,168,192,32,216,72,144,240,32,16,120,24
,24,24,24,8,8,8,36,8,8,8,8,4,4,120,16,8,24,16,8,16,8,4,8,12,60,16,8,4,4,4,8,4,
4,4,4,4,8,4,8,8,4,4,4,8,4,4],[48648600,68040,3240,3960,1440,240,360,24,264,96,
32,96,144,120,40,1260,16,120,24,84,96,8,8,8,120,60,8,8,4,4,4,60,8,8,24,16,16,
20,4,8,84,8,16,8,8,4,60,4,4,8,4,4,4,4,8,8,4,8,4,4,4,8,4,4],[48648600,68040,
4680,2520,360,240,360,24,168,192,32,216,72,2520,72,48,16,120,24,24,24,24,8,8,8
,36,8,8,8,8,4,4,120,24,24,8,24,24,12,8,12,120,8,8,8,4,4,8,4,4,4,4,4,8,12,8,4,4
,4,8,4,4],[48648600,68040,1800,5400,360,480,360,120,168,96,48,144,72,24,240,64
,24,16,16,8,120,16,24,24,8,8,8,24,16,8,8,120,16,16,24,8,24,8,8,8,8,60,12,4,4,
16,8,8,8,8,8,8,8,8,8,8,4,4,4],[48648600,158760,3240,2520,7560,1080,72,168,288,
72,216,48,144,48,360,24,24,24,72,24,72,72,48,16,8,8,48,8,24,16,24,24,24,24,24,
8,8,16,8,8,8,8,24,8,4,4,8,8,8,4],[48648600,158760,1800,3960,7560,360,240,1080,
72,264,96,32,216,24,600,40,360,16,120,72,24,72,72,24,8,8,8,120,8,8,8,120,240,8
,8,40,16,16,24,8,120,8,8,120,8,8,8,8,8,8,16,120,8,8,8,8,8],[48648600,158760,
1800,3960,7560,360,240,1080,72,264,96,32,216,24,288,120,8,360,16,120,72,24,72,
72,24,8,8,8,120,8,8,8,120,8,8,8,16,48,32,24,8,48,16,120,8,8,8,8,8,8,16,24,8,8,
16,8],[48648600,68040,3240,3960,1440,240,360,24,264,96,32,96,2520,72,360,24,
1260,16,120,24,84,96,8,8,8,120,60,8,8,4,4,4,120,180,24,24,24,8,12,12,84,8,120,
60,8,8,4,4,60,4,4,8,4,4,4,4,8,12,60,4,4,4,4,8,4,4],[48648600,204120,1080,6840,
68040,7560,1080,2520,216,504,72,72,648,216,144,32,1080,360,72,72,72,72,72,216,
72,216,216,216,32,8,24,16,16,16,216,72,72,72,72,24,8,16,8,8,8,16,8,72,8,8,8,8,
8],[48648600,68040,1800,2520,360,240,360,24,168,96,32,24,3780,180,120,24,16,
120,24,24,8,8,8,120,180,24,8,8,4,12,36,36,20,8,8,8,120,8,8,8,8,8,8,8,4,12,24,
12,8,4,8,4,4,4,8,4,4,4],[48648600,204120,1080,3960,68040,7560,360,1560,120,312
,72,24,216,3780,180,120,8,360,360,72,24,24,72,24,120,72,1260,60,36,12,12,12,12
,4,120,420,8,8,8,12,36,108,60,36,24,24,60,12,4,4,4,4,60,12,12,4,4,4,4,4,36,72,
8,12,12,24,36,24,12,8,4,24,12,8,4,4,4,4,12,4,4,4,4],[48648600,68040,1800,8280,
360,480,360,216,168,32,288,144,24,240,16,48,32,16,32,24,24,48,60,60,4,4,24,4,4
,4,8,180,12,120,120,8,8,16,8,8,12,16,24,8,4,8,8,4,60,4,4,4,4,4,8,8,12,12,4,4,
12,4,12,4,8,12,4,4,4,4,4,4,4,4],[48648600,68040,3240,6840,480,360,216,72,96,32
,72,288,144,16,120,24,48,32,16,8,32,24,48,4,4,8,24,8,8,4,4,12,12,8,120,8,8,8,8
,8,8,4,16,24,8,8,8,4,4,4,4,4,4,4,8,8,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4],[
48648600,68040,1800,2520,360,360,24,168,24,144,240,16,24,24,60,60,4,4,4,4,4,
180,12,120,120,8,8,16,8,24,16,8,8,4,4,4,60,4,4,4,4,4,8,8,8,12,8,4,4,4,8,4,4,4,
4,4],[48648600,68040,3240,1080,360,24,72,96,72,16,144,120,24,8,24,4,4,8,8,4,4,
12,12,8,120,8,8,8,8,24,16,8,8,8,12,4,4,4,4,4,4,4,8,8,8,4,4,8,12,4,4,8,4,4,4,4,
4],[48648600,158760,1800,6840,7560,360,480,1080,168,264,96,48,360,72,24,1260,
108,32,360,24,16,16,8,120,72,40,72,72,24,8,8,8,24,120,24,48,24,8,12,16,4,8,8,
60,32,4,12,12,12,12,16,16,24,8,8,8,4,8,4,12,16,4,4,4,12,12,8,4,4,8,8,8,8,16,4,
4,8,4,4,4,8,4,4,4],[48648600,158760,3240,5400,7560,240,1080,168,168,288,16,72,
360,72,48,1260,108,120,24,360,24,16,8,24,24,24,72,40,72,72,48,24,120,24,24,8,
16,16,16,16,120,60,24,8,8,4,12,12,12,12,8,8,24,24,8,12,8,4,8,4,16,16,12,12,4,4
,8,8,8,8,8,16,8,8,8,8,4,4,8,8,4,4,4,4,4,4],[48648600,68040,1800,8280,360,720,
360,216,168,96,64,288,144,24,1260,108,120,24,48,32,16,16,120,32,24,24,8,8,8,48
,24,24,12,24,16,4,8,8,8,120,60,24,8,8,4,12,12,12,12,8,8,16,8,12,8,4,4,4,24,12,
16,8,4,4,8,8,4,8,8,8,8,8,8,4,4,8,8,4,4,4,4,4,4],[48648600,68040,3240,1080,360,
24,72,96,72,16,2520,72,120,24,8,24,4,4,8,8,4,4,12,12,8,120,120,8,8,8,24,24,8,8
,8,8,4,4,4,4,4,4,4,4,8,8,8,4,4,24,8,4,4,4,8,4,4,4,4,4],[48648600,68040,3240,
1080,360,24,72,96,72,16,360,40,8,24,4,4,8,8,4,4,12,12,8,360,24,24,24,8,8,8,12,
4,4,4,4,4,4,4,8,24,4,4,24,12,4,4,24,4,4,4,4,4],[48648600,68040,1800,2520,360,
360,24,168,24,480,32,24,24,60,60,4,4,4,4,4,180,12,360,120,24,24,32,8,8,4,4,4,
60,4,4,4,4,4,24,8,12,24,4,4,4,24,4,4,4,4,4],[48648600,68040,1800,2520,360,360,
24,168,24,2520,72,240,16,24,24,60,60,4,4,4,4,4,180,12,120,120,120,8,8,16,24,24
,8,8,8,12,4,4,60,4,4,4,4,4,8,8,8,12,24,8,12,4,4,8,12,4,4,4,4],[48648600,68040,
1800,5400,360,480,360,120,168,96,48,144,72,24,2520,216,16,24,16,16,8,120,16,24
,24,8,8,8,24,24,24,12,4,120,16,8,24,24,24,24,8,8,8,8,12,16,8,4,8,4,4,12,4,4,4,
8,8,8,8,12,4,4,4,4,4,8,4,4,4],[48648600,158760,1800,3960,7560,360,240,1080,72,
264,96,32,216,24,288,120,8,360,16,120,72,24,72,72,24,8,8,8,24,24,12,4,120,8,8,
8,16,48,32,24,8,24,12,16,8,8,4,8,4,12,4,4,4,8,8,16,8,8,4,12,8,4,8,4,4],[
48648600,113400,1080,2520,68040,360,840,72,216,72,24,120,24,360,72,24,24,72,
120,24,24,24,24,24,12,4,24,24,24,24,24,12,4,4,4,4,4,24,4,4,4,4,4],[48648600,
68040,5400,4680,68040,360,360,360,16,216,72,36,72,72,60,12,360,4,72,72,72,60,
12,12,12,12,6,4,2,12,4,12,6,2,72,2,4,2,12,12,12,12,2,2,2,6,2,2,2,12,2,2,2,2,2,
2,2],[48648600,68040,1080,3240,68040,72,72,16,72,36,72,180,36,72,4,72,6,4,2,
180,36,36,36,36,4,36,6,2,2,4,2,36,36,36,2,2,2,6,2,2,2,36,2,2,2,2,2,2,2],[
48648600,22680,3240,4680,120,48,24,96,24,72,72,36,16,72,180,20,8,4,8,8,4,4,8,
12,6,8,2,4,4,180,12,8,12,4,4,8,8,8,6,2,2,4,2,4,4,4,4,4,8,4,4,12,2,2,2,6,2,2,2,
2,4,2,2,2,2,2,2],[48648600,22680,1800,6120,360,120,48,120,24,72,36,24,72,60,28
,8,4,24,60,8,4,4,12,6,8,2,4,4,12,12,8,8,4,4,12,8,16,8,6,2,2,4,2,4,4,4,4,4,8,4,
8,4,2,2,2,2,2,6,2,2,4,2,2,2,2,2,2],[44478720,103680,5760,216,5760,24,6,6],[
43243200,423360,756000,10080,60480,15120,5040,60480,10080,720,5040,10080,60480
,720,720,720,720,10080,5040,720,720,720,720],[43243200,60480,5760,151200,5040,
432,1680,480,5040,720,288,144,720,240,144,1680,48,48,48,720,144,240,48,48,48,
48],[43243200,60480,5760,604800,1260,432,60480,144,144,360,576,144,36,144,144,
60480,36,36,36,36,144,144,36,36,36,36],[43243200,60480,5760,756000,10080,60480
,144,144,864,96,720,144,10080,60480,720,720,16,16,96,144,16,16,720,16],[
43243200,60480,5760,151200,5040,432,1680,192,144,960,144,48,720,48,144,1680,48
,48,48,16,48,48,16,16,48,16],[43243200,60480,5760,6300,216,1680,192,144,216,72
,36,48,72,1680,12,12,12,36,72,48,12,12,12,12],[43243200,60480,5760,151200,5040
,432,1680,480,144,288,48,24,720,48,144,1680,48,48,48,16,8,48,8,8,48,8],[
43243200,60480,5760,604800,216,54,60480,144,144,576,6,24,54,144,54,60480,54,54
,6,6,6,144,6,6,54,6],[43243200,60480,5760,702,60480,144,144,42,54,144,216,54,
54,6,6,24,6,6,54,6],[43243200,60480,5760,702,60480,144,144,42,54,144,216,54,54
,6,6,24,6,6,54,6],[43243200,60480,5760,6300,216,60480,144,144,72,24,36,144,72,
360,54,36,4,4,8,8,6,4,18,2],[43243200,60480,5760,151200,216,216,60480,144,144,
288,12,24,720,144,54,54,18,720,16,16,6,6,2,16,18,2],[43243200,60480,5760,1260,
108,432,60480,144,144,24,24,12,36,144,18,27,36,36,4,4,2,3,4,4,9,1],[43243200,
60480,5760,5040,108,270,60480,144,144,48,18,12,54,144,18,360,27,18,54,6,6,2,8,
3,2,6,9,1],[43243200,60480,5760,604800,1260,432,60480,144,144,576,24,24,36,144
,144,60480,36,36,4,4,8,144,4,4,36,4],[43243200,60480,5760,151200,5040,432,
60480,144,144,288,48,24,720,144,144,360,36,720,16,16,8,8,4,16,18,2],[43243200,
60480,5760,11340,216,60480,144,144,120,12,36,144,216,720,18,36,4,4,12,16,2,4,
18,2],[43243200,60480,5760,6300,216,1680,480,144,72,24,36,48,72,1680,12,12,12,
4,8,48,4,4,12,4],[43243200,60480,5760,1260,108,432,1680,480,144,24,24,12,36,48
,18,48,6,12,12,4,2,8,2,4,6,2],[43243200,60480,5760,151200,216,216,1680,480,144
,288,12,24,720,48,54,24,12,48,48,16,6,4,4,8,6,2],[43243200,5760,960,151200,
5040,432,160,32,32,960,144,48,96,16,144,40,4,16,16,16,48,8,4,8,4,4],[43243200,
6720,151200,5040,432,160,192,32,288,48,24,96,16,144,40,4,16,32,16,8,8,4,8,4,4]
,[43243200,6720,151200,216,216,80,32,288,12,24,96,8,54,2,2,8,8,16,6,2,2,4,2,2]
,[43243200,302400,1920,302400,2520,15120,480,5040,26880,2520,120,1440,120,240,
2520,1440,120,2520,120,120,2520,120,120,120],[43243200,181440,1920,1920,302400
,2520,192,144,5040,20160,2520,96,24,192,24,48,2520,48,24,2520,24,24,2520,24,24
,24],[43243200,181440,3840,302400,2520,480,144,144,20160,2520,120,96,192,120,
16,2520,120,48,2520,120,24,24,120,24,8],[43243200,302400,1920,302400,2520,
15120,192,144,26880,2520,24,1440,24,48,2520,1440,24,2520,120,24,24,120,24,8],[
43243200,302400,1920,302400,2520,15120,480,144,26880,2520,120,1440,120,48,2520
,1440,120,2520,120,120,24,120,120,12],[43243200,181440,1920,1920,302400,2520,
192,144,144,20160,2520,96,24,192,24,8,2520,48,24,2520,24,24,24,24,24,4],[
43243200,120960,1920,2880,302400,2520,960,32,32,6720,288,24,24,1440,24,16,2520
,96,4,24,120,24,4,12,4,2],[43243200,6720,302400,2520,144,32,120,384,24,192,120
,8,2520,12,16,24,120,24,4,12,4,2],[43243200,6720,216,144,480,72,4,12,24,72,4,
72,4,24,4,4],[43243200,6720,216,144,32,72,4,12,8,72,4,72,4,8,4,4],[43243200,
3840,2880,2520,54,64,32,24,24,6,6,24,6,32,18,4,2,2,6,6,2,2,2,2],[43243200,3840
,2880,2520,54,64,32,24,24,6,6,24,6,32,18,4,2,2,6,6,2,2,2,2],[43243200,6720,216
,144,32,24,12,12,8,54,4,6,6,2,2,2],[43243200,6720,216,144,32,24,12,12,8,54,4,6
,6,2,2,2],[43243200,120960,1920,2880,2520,54,960,32,32,840,24,6,6,72,6,16,18,
24,2,2,6,6,2,2,2,2],[43243200,120960,1920,2880,2520,54,960,32,32,840,24,6,6,72
,6,16,18,24,2,2,6,6,2,2,2,2],[43243200,60480,8640,2880,216,60480,576,576,72,72
,216,576,72,216,72,72,72,72,72,72,72,72,72,72],[43243200,241920,8640,302400,
2520,60480,1440,2880,20160,2520,864,72,1440,72,1440,2520,1440,72,288,288,72,72
,2520,72,72,288,72,72,72,72,72],[43243200,60480,8640,2880,151200,1260,108,
60480,576,576,1440,180,144,108,36,36,720,108,36,576,36,720,108,36,144,144,36,
36,36,36,36,36,36,144,36,36,36,36,36,36],[43243200,241920,8640,302400,2520,
1680,2880,432,20160,2520,864,72,1440,72,144,2520,96,24,288,96,72,24,2520,72,72
,48,24,24,72,24,24],[43243200,20160,2880,9280,151200,1260,108,192,64,160,144,
480,180,432,36,36,24,12,12,240,64,40,36,12,4,16,36,16,4,4,48,16,12,16,12,8,16,
12,4,12,4,4,36,12,4,12,4,8,4,4,4,12,4,4,4,4],[43243200,2880,216,1440,72,1440,
72,72,72,72],[43243200,2880,216,96,72,96,72,72,24,24],[43243200,2880,216,96,72
,96,72,72,24,24],[43243200,2880,216,480,64,72,32,72,72,24,16,8],[43243200,2880
,216,96,12,96,54,6,6,6],[43243200,2880,216,96,12,96,54,6,6,6],[43243200,181440
,756000,10080,60480,5040,1680,13440,2160,1680,10080,60480,720,720,144,48,240,
1680,48,720,48],[43243200,60480,1920,756000,10080,60480,48,48,192,720,192,48,
10080,60480,720,720,48,48,48,48,48,720,48],[43243200,181440,151200,5040,432,
181440,1680,1680,1680,2160,1680,144,1680,48,2160,48,48,48,1680,48,48,48],[
43243200,60480,1920,151200,5040,432,1680,160,48,16,720,192,16,144,1680,48,48,
16,48,16,16,16,48,16],[43243200,181440,604800,1260,432,60480,5040,1680,13440,
108,1680,144,60480,36,36,36,12,24,1680,12,36,12],[43243200,60480,1920,604800,
1260,432,60480,48,48,192,120,36,48,144,60480,36,36,12,12,48,48,12,36,12],[
43243200,60480,1920,11340,216,60480,48,48,24,120,36,48,216,720,18,36,12,12,24,
6,12,18,6],[43243200,181440,6300,216,181440,1680,1680,1680,108,1680,72,1680,12
,108,12,12,12,1680,12,12,12],[43243200,60480,1920,151200,216,216,1680,160,1680
,24,720,192,80,54,24,12,48,16,48,6,8,8,6,2],[43243200,60480,1920,151200,5040,
432,1680,160,1680,240,720,192,80,144,1680,48,48,16,48,24,80,8,48,8],[43243200,
60480,1920,604800,216,54,60480,48,48,192,54,6,48,54,60480,54,54,6,6,6,48,6,54,
6],[43243200,60480,1920,702,60480,48,48,24,54,6,48,216,54,54,6,6,6,6,6,54,6],[
43243200,60480,1920,702,60480,48,48,24,54,6,48,216,54,54,6,6,6,6,6,54,6],[
43243200,60480,1920,151200,216,216,60480,48,48,24,720,192,48,54,54,18,720,48,
48,6,6,48,18,6],[43243200,2880,151200,216,216,32,160,24,288,8,54,2,2,32,16,6,2
,8,2,2],[43243200,181440,151200,5040,432,60480,5040,1680,1680,2160,1680,144,
360,36,720,144,48,48,120,48,18,6],[43243200,181440,6300,216,60480,5040,1680,
1680,108,1680,72,360,54,36,36,12,12,120,12,18,6],[43243200,120960,960,151200,
5040,432,160,320,160,1680,1440,96,80,144,40,4,16,32,16,48,40,8,4,4],[43243200,
2880,151200,5040,432,640,160,240,288,160,144,40,4,64,16,24,40,16,4,4],[
43243200,60480,1920,6300,216,1680,64,48,48,36,24,16,72,1680,12,12,4,12,12,16,4
,12,4],[43243200,60480,1920,1260,108,432,1680,64,48,12,36,24,16,18,48,6,12,4,
12,6,2,4,6,2],[43243200,60480,1920,324,54,60480,48,48,4,54,6,48,9,81,54,6,6,1,
1,6,9,1],[43243200,120960,2880,756000,10080,60480,480,960,3360,144,3600,480,
10080,60480,720,720,48,48,240,480,48,720,48],[43243200,60480,2880,960,756000,
10080,60480,192,192,480,48,720,384,192,10080,60480,720,720,48,48,48,192,48,720
,48],[43243200,241920,960,151200,5040,432,16800,960,10080,48,720,240,960,144,
1680,48,48,720,48,48,240,48,48,48],[43243200,60480,960,2880,151200,5040,432,
1680,192,144,160,144,720,48,48,144,1680,48,48,48,16,16,48,16,48,16],[43243200,
60480,2880,960,604800,1260,432,60480,192,192,60,36,384,36,192,144,60480,36,36,
12,12,24,192,12,36,12],[43243200,60480,2880,960,11340,216,60480,192,192,60,36,
36,12,192,216,720,18,36,12,12,12,6,12,18,6],[43243200,60480,960,2880,6300,216,
1680,192,144,180,12,36,48,48,72,1680,12,12,36,12,12,48,12,12,12],[43243200,
60480,960,2880,1260,108,432,1680,192,144,180,12,36,12,48,18,48,6,12,36,12,6,6,
12,6,6],[43243200,120960,2880,604800,1260,432,60480,480,960,420,12,2880,36,480
,144,60480,36,36,12,12,48,480,12,36,12],[43243200,120960,2880,151200,5040,432,
1680,960,144,3360,144,720,144,48,144,1680,48,48,48,16,24,48,8,48,8],[43243200,
241920,960,151200,216,216,16800,960,10080,48,720,12,960,54,24,12,48,720,48,6,
12,48,6,6],[43243200,120960,2880,6300,216,1680,960,144,420,12,180,48,72,1680,
12,12,12,4,12,48,4,12,4],[43243200,60480,2880,960,151200,216,216,60480,192,192
,480,48,720,12,192,54,54,18,720,48,48,6,6,48,18,6],[43243200,60480,2880,960,
702,60480,192,192,6,6,54,12,192,216,54,54,6,6,6,6,6,54,6],[43243200,60480,2880
,960,702,60480,192,192,6,6,54,12,192,216,54,54,6,6,6,6,6,54,6],[43243200,60480
,2880,960,604800,216,54,60480,192,192,6,6,384,54,192,54,60480,54,54,6,6,6,192,
6,54,6],[43243200,4800,151200,216,216,192,80,192,96,12,32,54,2,2,8,32,8,6,2,8,
2,2],[43243200,120960,2880,6300,216,60480,480,960,420,12,180,480,72,360,54,36,
12,12,12,24,12,18,6],[43243200,120960,2880,151200,5040,432,60480,480,960,3360,
144,720,144,480,144,360,36,720,48,48,24,24,48,18,6],[43243200,60480,2880,960,
151200,5040,432,160,192,32,3360,480,96,144,32,144,40,4,16,96,16,24,8,16,4,4],[
43243200,3840,960,151200,5040,432,160,64,640,96,48,32,144,40,4,16,32,16,8,16,4
,4],[43243200,3840,960,243,216,160,32,9,1,12,3,16,9,4,1,1,3,1,1,1,1,1,1],[
43243200,201600,2880,302400,2520,960,288,20160,2520,288,24,480,24,48,2520,96,
24,2520,24,24,48,24,24],[43243200,201600,2880,302400,2520,960,5040,144,20160,
2520,288,24,480,24,48,2520,96,24,2520,24,24,2520,24,24,24],[43243200,201600,
2880,302400,2520,960,64,20160,2520,288,24,480,24,64,2520,96,24,2520,24,24,8,24
,8],[43243200,201600,2880,302400,2520,960,288,20160,2520,288,24,480,24,32,2520
,96,24,2520,24,24,48,24,8],[43243200,20160,2880,2880,216,192,480,32,72,24,72,
32,72,24,24,72,24,24,8,24,8],[43243200,20160,2880,2880,216,192,64,72,24,72,32,
72,24,24,72,24,16,24,8],[43243200,3200,2880,2520,54,32,64,72,24,18,6,8,2,16,18
,4,2,18,2,2,2,2,2,2],[43243200,201600,2880,302400,2520,960,3360,20160,2520,288
,24,480,24,480,2520,96,24,480,96,2520,24,24,96,24,24,24],[43243200,201600,2880
,302400,2520,960,96,20160,2520,288,24,480,24,48,2520,96,24,24,24,2520,24,24,24
,24,24,24],[43243200,20160,2880,2880,151200,1260,108,192,1680,48,480,180,144,
36,36,12,240,36,12,48,36,48,12,12,240,12,48,12,36,12,12,48,12,12,12,12,12],[
43243200,20160,2880,2880,216,192,96,72,24,72,16,72,24,4,12,24,72,24,4,24,4,4],
[43243200,443520,2880,302400,2520,40320,2880,33600,2520,288,24,3360,24,2880,
2520,288,3360,288,24,2520,24,240,24,288,240,24,24,24,24],[43243200,201600,6720
,302400,2520,960,960,96,144,20160,2520,240,288,24,480,240,24,48,2520,24,240,96
,24,24,24,2520,24,240,24,24,240,24,24,24,24],[43243200,141120,2880,4800,151200
,1260,108,5040,576,336,6720,480,300,144,36,36,12,240,192,36,84,144,36,48,36,
240,192,48,84,48,36,12,36,12,12,12,12,48,36,12,12,12,12,12,12],[43243200,80640
,3840,4800,151200,1260,108,480,320,256,192,64,420,640,180,192,36,36,4,12,960,
96,60,36,12,12,32,36,32,4,64,60,48,48,16,12,12,4,4,4,12,36,12,12,12,4,4,12,16,
4,12,4,4,4,12,4,4,4],[43243200,20160,960,8640,151200,1260,108,64,64,192,144,
160,120,336,24,12,240,192,60,36,12,12,16,36,48,4,16,16,12,12,16,8,16,12,4,4,12
,12,4,12,8,4,4,4,4,12,4,4],[43243200,60480,960,8000,151200,1260,108,64,64,288,
96,3360,160,240,288,36,16,6,224,20,36,12,2,16,36,24,4,32,16,36,8,48,8,8,4,2,36
,2,6,6,4,4,2,8,4,4,2,6,2,2,2,2,2],[43243200,20160,960,8640,3780,54,64,64,192,
144,120,6,72,2,6,60,18,36,12,6,16,54,6,4,12,12,8,2,2,6,12,2,6,6,6,2,18,4,2,2,2
,6,6,2,2],[43243200,60480,2880,6080,151200,1260,108,192,64,192,96,3360,480,60,
192,36,16,12,6,224,80,36,2,16,36,24,12,96,16,8,32,12,8,8,2,4,12,2,12,6,6,4,2,8
,4,6,4,2,2,2,2,2,2],[43243200,120960,3840,4160,151200,1260,108,160,960,256,192
,64,3360,420,640,60,144,36,12,12,6,720,128,20,36,12,2,32,36,16,4,128,20,48,48,
16,12,12,4,4,12,2,12,2,12,6,6,4,2,16,4,6,4,2,2,2,2,2,2],[43243200,201600,6720,
302400,2520,320,960,288,144,20160,2520,480,24,480,384,24,48,2520,32,96,32,96,
24,32,2520,24,48,24,16,48,8,24,8,8],[43243200,80640,8640,302400,2520,640,320,
288,144,3360,720,48,1200,288,24,48,2520,32,16,16,112,48,32,24,32,48,60,36,24,
16,8,8,8,24,4,4,4],[43243200,322560,4800,302400,2520,15120,1600,432,26880,2520
,384,24,1920,192,24,144,2520,64,1440,128,96,32,24,2520,24,120,24,24,32,120,24,
8,24,8,8],[43243200,201600,6720,302400,2520,5040,2240,432,10080,624,48,2640,96
,24,144,2520,144,32,240,208,48,64,8,48,180,12,24,24,16,8,24,8,12,4,4],[
43243200,201600,1920,4800,302400,2520,480,960,128,192,64,20160,2520,120,288,24
,24,480,120,24,24,32,2520,8,120,96,8,24,8,8,24,2520,24,120,24,24,8,120,24,8,24
,8,8],[43243200,20160,960,8640,302400,2520,64,64,192,144,180,576,12,48,480,180
,24,12,16,2520,12,4,12,24,32,4,8,8,8,48,180,12,24,4,4,8,24,8,12,4,4],[43243200
,201600,3840,2880,302400,2520,960,512,64,20160,2520,288,48,24,480,24,48,64,
2520,8,96,8,8,48,24,2520,24,48,24,8,48,8,24,8,8],[43243200,20160,2880,6720,
302400,2520,480,64,64,64,64,60,576,36,48,480,60,24,36,16,2520,4,4,96,4,8,4,8,8
,24,48,60,36,24,4,4,8,8,24,4,4,4],[43243200,201600,6720,151200,1260,108,5040,
2240,432,6720,420,288,28,12,960,96,36,84,144,36,36,32,240,96,48,16,28,12,12,4,
12,12,4,12,16,12,4,4,4,12,4,4],[43243200,20160,2880,6720,216,192,64,96,144,72,
24,4,72,12,16,72,12,24,4,4,4,24,72,4,24,4,4,4,24,4,4],[43243200,20160,6720,
2880,151200,1260,108,160,64,192,64,64,1120,48,72,8,24,240,192,60,36,12,12,16,
36,16,4,16,48,16,32,12,4,8,4,12,24,12,8,4,12,8,4,8,4,12,4,4,4],[43243200,80640
,7680,960,151200,1260,108,320,640,64,420,1280,72,4,24,960,96,36,12,24,64,36,32
,4,160,32,12,4,24,4,12,24,12,4,8,12,32,4,8,4,12,4,4,4],[43243200,20160,4800,
4800,151200,1260,108,160,192,64,64,64,800,180,144,36,36,8,12,240,192,36,12,24,
16,36,16,4,48,16,16,32,4,12,8,4,12,36,12,8,8,12,8,4,8,4,12,4,4,4],[43243200,
120960,8000,151200,1260,108,640,960,192,144,3360,420,240,336,36,12,6,720,128,
80,36,2,48,36,16,12,80,48,48,36,12,32,12,16,2,36,2,12,12,6,6,2,8,12,12,6,2,2,2
,2,2,2],[43243200,120960,5120,2880,2520,54,960,512,64,840,96,24,18,6,72,32,2,
64,18,8,24,8,32,24,2,18,2,6,6,2,8,6,2,2,2,2,2],[43243200,7040,2880,2520,54,384
,96,72,24,30,6,8,14,48,18,6,4,14,6,18,2,6,6,2,6,6,2,2,2,2,2],[43243200,80640,
960,756000,10080,60480,160,320,1920,96,96,160,10080,60480,720,720,32,16,96,160
,16,16,720,16],[43243200,80640,960,151200,5040,432,1680,320,48,960,96,144,48,
16,144,1680,48,48,48,32,48,16,16,16,48,16],[43243200,120960,320,151200,5040,
432,6720,320,1440,32,80,8,320,144,1680,48,192,32,8,80,8,32,48,8],[43243200,
60480,320,960,6300,216,1680,64,48,60,36,20,8,16,72,1680,12,12,12,4,8,16,4,4,12
,4],[43243200,60480,960,320,604800,1260,432,60480,64,64,128,20,36,12,8,64,144,
60480,36,36,4,4,8,64,4,4,36,4],[43243200,2240,151200,5040,432,1120,224,80,8,
1120,144,40,4,112,8,40,4,112,4,4],[43243200,141120,5760,302400,2520,5040,480,
1680,6720,576,48,1920,24,240,2520,144,240,96,24,240,48,48,120,24,48,48,24,12,
12,12],[43243200,20160,5760,1920,151200,1260,108,192,48,1680,960,120,72,24,240
,192,36,12,48,36,48,48,12,12,12,240,12,24,12,12,48,12,12,12,12,12],[43243200,
141120,5760,151200,1260,108,5040,192,48,6720,960,72,24,240,36,84,48,36,36,240,
48,12,12,12,48,24,12,12,12,48,12,12,12,12],[43243200,20160,1920,5760,151200,
1260,108,64,144,48,320,288,24,12,240,36,12,24,8,36,4,16,16,12,4,12,48,4,8,12,4
,8,4,4,12,4],[43243200,20160,1920,5760,3780,54,64,144,48,72,4,6,18,36,24,8,54,
4,2,6,12,12,6,6,4,18,4,2,6,2,6,2],[43243200,20160,7680,302400,2520,480,48,48,
120,576,48,480,120,24,24,2520,12,96,12,24,12,12,48,120,24,12,12,24,12,12,12],[
43243200,20160,7680,302400,2520,160,144,1680,672,48,480,192,24,48,2520,16,16,
32,8,240,48,48,24,24,16,8,8,4,12,4],[43243200,20160,1920,5760,302400,2520,64,
144,48,576,24,48,480,24,24,8,2520,4,32,4,8,12,12,48,24,24,4,4,8,4,12,4],[
43243200,20160,7680,151200,1260,108,160,144,1680,288,32,12,240,192,36,12,48,36
,16,16,4,12,4,240,12,4,8,12,16,4,4,4,12,4],[43243200,20160,5760,1920,216,192,
48,48,48,2,72,6,8,72,6,24,2,2,6,48,2,24,2,2,24,2,2,2],[43243200,181440,302400,
2520,60480,5040,1680,6720,2880,72,1680,2520,1440,144,72,240,240,48,120,72,240,
48,72,12,12,12],[43243200,60480,1920,302400,2520,60480,48,48,120,1440,120,72,
48,2520,1440,72,12,12,12,12,120,72,12,12,72,12,12,12],[43243200,60480,1920,
151200,1260,108,60480,48,48,120,720,192,108,36,48,36,720,108,36,48,12,12,48,12
,36,12,48,36,12,12,12],[43243200,60480,1920,3780,54,60480,48,48,120,54,108,6,
48,54,54,108,6,12,12,6,6,54,12,6,54,6,6,6],[43243200,20160,1920,640,151200,
1260,108,64,16,1680,320,240,64,40,36,12,24,4,16,36,16,4,4,4,16,240,12,8,12,4,
16,4,4,4,12,4],[43243200,20160,2560,151200,1260,108,160,16,48,8,240,256,40,36,
12,4,8,36,16,16,4,4,4,12,48,8,12,4,4,8,4,4,12,4],[43243200,181440,151200,1260,
108,60480,5040,1680,6720,720,108,108,1680,36,720,108,36,36,240,240,12,12,36,
240,12,36,12,12,12],[43243200,60480,1920,302400,2520,1680,160,1680,96,1440,192
,72,80,2520,96,24,16,16,240,48,24,72,16,8,24,4,12,4],[43243200,60480,1920,
302400,2520,1680,64,48,24,1440,72,24,16,2520,96,24,4,4,12,12,24,72,4,4,24,4,12
,4],[43243200,60480,1920,216,60480,48,48,2,216,6,48,72,216,6,2,2,6,2,72,2,6,72
,2,2,2],[43243200,60480,2880,960,302400,2520,60480,192,192,60,36,1440,60,72,36
,192,2520,1440,72,12,12,12,12,60,36,72,12,12,72,12,12,12],[43243200,120960,
2880,302400,2520,60480,480,960,3360,144,2160,288,72,480,2520,1440,72,96,48,48,
48,60,36,72,48,48,72,12,12,12],[43243200,60480,2880,960,151200,1260,108,60480,
192,192,480,48,720,60,108,36,36,192,36,720,108,36,12,12,48,48,12,12,36,12,48,
36,12,12,12],[43243200,60480,2880,960,3780,54,60480,192,192,6,6,60,54,108,36,
192,54,54,108,12,12,6,6,6,6,54,12,6,54,6,6,6],[43243200,241920,960,302400,2520
,16800,960,10080,48,3600,96,72,960,2520,528,24,96,720,48,180,12,72,96,48,24,36
,12,12],[43243200,120960,2880,151200,1260,108,60480,480,960,420,12,1440,288,
108,36,480,36,720,108,36,96,48,12,12,12,12,36,48,12,36,12,12,12],[43243200,
60480,960,2880,302400,2520,1680,192,144,180,12,1440,180,72,12,48,2520,96,24,36
,12,36,12,180,12,72,12,12,24,36,12,12],[43243200,80640,3520,151200,1260,108,
320,320,64,48,420,120,4,960,352,40,36,12,4,16,36,64,32,48,32,4,4,40,12,4,4,12,
12,4,12,4,16,4,4,12,4,4,4,4],[43243200,141120,960,1600,151200,1260,108,5040,
192,112,6720,160,48,240,64,100,36,84,12,4,48,36,16,36,28,4,12,240,64,16,16,12,
12,4,12,4,12,16,4,4,4,12,4,4],[43243200,60480,8640,2880,54,60480,576,576,18,18
,54,576,9,54,18,18,9,9,9,18,9,9,9,9],[43243200,100800,302400,2520,60480,1680,
560,2400,120,560,2520,1440,96,72,24,32,8,120,32,8,72,24,8,8],[43243200,60480,
640,151200,1260,108,60480,16,16,720,64,40,108,36,4,16,36,720,108,36,16,4,4,16,
4,4,36,4,16,4,4,36,4,4,4],[43243200,201600,2880,302400,2520,960,560,144,20160,
2520,288,24,480,24,48,2520,96,24,32,8,32,8,2520,24,24,16,8,24,8,8,8],[43243200
,20160,2880,2880,151200,1260,108,192,160,480,180,144,36,36,12,240,36,12,16,36,
48,12,12,16,12,4,16,4,4,36,12,12,8,4,4,12,4,4,4],[43243200,20160,11520,302400,
2520,480,144,560,1152,96,480,24,48,2520,96,32,24,8,32,8,96,24,16,8,24,8,8,8],[
43243200,20160,5760,5760,151200,1260,108,192,144,16,960,288,72,24,24,12,240,36
,12,8,36,48,16,12,12,12,4,16,4,4,24,4,12,4,8,4,12,4,4,4],[43243200,60480,5760,
302400,2520,1680,480,144,576,48,1440,72,48,2520,96,24,96,24,32,8,48,72,16,8,24
,24,8,8],[43243200,60480,5760,302400,2520,60480,144,144,576,48,1440,72,144,
2520,1440,72,32,8,32,8,48,72,32,8,72,8,8,8],[43243200,60480,5760,3780,54,60480
,144,144,72,6,54,108,144,54,54,108,6,12,6,12,6,54,6,12,54,6,6,6],[43243200,
60480,5760,151200,1260,108,60480,144,144,288,24,12,720,108,36,144,36,720,108,
36,16,12,4,16,12,4,4,36,16,12,4,36,4,4,4],[43243200,20160,5760,640,151200,1260
,108,192,16,144,960,72,24,240,64,40,36,12,4,8,36,16,4,4,48,12,12,16,12,4,24,12
,4,4,8,4,4,12,4,4],[43243200,320,151200,5040,432,160,32,80,8,160,144,16,8,40,4
,16,4],[43243200,141120,1920,151200,1260,108,5040,160,144,6720,8,240,192,36,84
,48,36,36,16,240,4,16,12,4,12,8,12,16,4,12,4,4,4],[43243200,141120,1920,302400
,2520,5040,160,144,6720,96,1920,192,24,48,2520,144,16,240,16,32,8,120,24,24,16
,8,12,4,8,4],[43243200,20160,1920,1920,151200,1260,108,64,48,144,320,120,240,
192,36,12,24,8,36,48,4,16,12,16,12,4,12,8,12,4,8,12,4,4,4],[43243200,20160,
1920,1920,3780,54,64,48,144,120,4,18,36,24,6,8,54,6,4,12,2,6,12,6,4,18,4,2,6,2
,6,2],[43243200,20160,1920,1920,302400,2520,64,48,144,120,24,480,120,24,24,8,
2520,12,4,12,4,32,8,120,24,24,4,4,12,4,8,4],[43243200,2880,216,480,72,24,72,72
,24,4],[43243200,2880,216,32,72,8,72,72,8,4],[43243200,2880,216,32,12,8,54,6,2
,2],[43243200,2880,216,32,12,8,54,6,2,2],[43243200,80640,960,302400,2520,320,
2240,3360,48,1200,96,24,160,2520,32,16,240,80,8,60,12,24,16,16,4,12,8,4],[
43243200,20160,960,960,151200,1260,108,64,1680,16,160,48,240,60,36,12,12,16,36
,4,16,240,16,12,4,4,12,4,12,16,4,4,12,4,4],[43243200,80640,960,151200,1260,108
,320,64,420,4,960,96,36,12,16,36,32,4,12,64,4,4,12,4,12,4,16,4,12,4,4],[
43243200,20160,960,960,302400,2520,64,560,48,60,12,480,60,24,12,16,2520,4,4,12
,32,8,12,60,12,24,4,4,4,12,8,4],[43243200,20160,960,960,302400,2520,64,192,60,
12,480,60,24,12,16,2520,4,4,12,32,8,12,60,12,24,4,4,4,12,8,4],[43243200,80640,
960,302400,2520,320,1680,144,3360,48,1200,96,24,48,2520,32,16,240,32,8,48,60,
12,24,8,16,4,12,8,4],[43243200,80640,960,151200,1260,108,320,1680,144,420,4,
960,96,36,12,48,36,32,4,240,16,12,4,12,12,4,12,4,16,4,12,4,4],[43243200,20160,
960,960,151200,1260,108,64,192,160,48,240,60,36,12,12,16,36,4,16,12,16,12,4,48
,12,4,12,8,4,4,12,4,4],[43243200,20160,960,960,3780,54,64,192,6,2,60,18,36,12,
16,54,4,2,12,6,12,6,6,2,18,2,4,2,6,6,2],[43243200,141120,1920,302400,2520,5040
,160,560,6720,96,1920,192,24,80,2520,144,16,240,16,32,8,120,24,24,8,16,12,4,8,
4],[43243200,20160,1920,1920,302400,2520,64,48,560,120,24,480,120,24,24,16,
2520,12,4,12,4,32,8,120,24,24,4,4,12,4,8,4],[43243200,20160,3840,151200,1260,
108,160,48,16,120,8,240,384,36,12,8,36,48,16,12,4,16,4,4,12,8,12,8,4,12,4,4,4]
,[43243200,141120,1920,151200,1260,108,5040,64,16,6720,320,240,36,84,24,16,36,
36,4,240,16,16,4,4,12,8,12,4,16,12,4,4,4],[41513472,145152,10752,32,192,32,32,
32],[39916800,3840,324,12,1,1,1,1],[38918880,90720,10080,2016,1008,672,336,
5040,1008,336,336,5040,336,336,336,168,336,168,168,168,168,168],[38918880,
199584,1440,8928,6048,3168,288,672,864,5040,288,288,96,288,288,5040,48,144,48,
144,96,48,48,48,48,48,144,48,48,48,48,48,48,48],[38918880,72576,8640,3744,
54432,384,288,576,864,96,96,5040,144,576,48,96,48,288,48,144,96,48,72,48,24,48
,24,72,24,48,24,48,24,48,24,24],[38918880,127008,7200,4320,288,192,1056,96,672
,384,128,96,5040,64,96,96,96,32,32,32,5040,240,48,240,48,32,48,16,32,240,16,16
,48,32,32,48,16,48,16,16,16,32,16,16],[38918880,36288,5760,7200,288,672,96,384
,384,192,192,64,5040,128,32,96,64,32,192,96,240,48,32,48,16,32,64,32,48,16,48,
32,16,32,16,16,32,16],[38918880,163296,4320,6624,54432,864,2208,288,864,288,96
,5040,864,288,96,96,288,5040,144,96,144,96,96,72,48,24,144,48,48,72,96,24,24,
24,72,24,24,24,24,48,24],[38918880,108864,2592,108864,864,864,864,5040,864,864
,432,144,864,144,144,144,144,144,144,144],[38918880,145152,4320,54432,720,1440
,5040,480,5040,720,480,240,5040,72,72,240,360,24,72,72,72,72,24,24,24],[
38918880,145152,4320,54432,720,1440,144,32,5040,720,32,16,5040,72,72,16,24,8,
72,72,72,72,8,8,8],[38918880,108864,2880,2016,48,480,192,96,32,5040,32,5040,16
,240,32,5040,96,24,96,24,16,360,8,8,96,24,8,8,8,24,8,8],[38918880,108864,2880,
2016,48,480,192,96,32,144,480,5040,16,480,16,5040,96,24,96,24,16,24,24,8,96,24
,8,8,8,24,8,8],[38918880,145152,4320,1512,1440,216,144,32,5040,72,32,24,5040,
72,72,8,24,8,12,72,12,12,8,4,4],[38918880,145152,4320,1512,1440,216,144,480,
5040,72,480,24,5040,72,72,24,24,24,12,72,12,12,24,4,4],[38918880,108864,2880,
2016,48,480,192,96,32,144,32,5040,16,32,16,5040,96,24,96,24,8,24,8,8,96,24,8,8
,8,8,8,4],[38918880,36288,6048,96,192,288,64,5040,32,32,96,48,48,8,16,16,32,16
,16,8,4],[38918880,90720,1440,288,96,144,48,5040,144,48,48,5040,48,48,48,48,24
,24,24,24,24,24],[38918880,181440,1440,15120,1440,144,120,1440,144,144,24],[
38918880,108864,1440,6048,288,192,288,96,5040,288,96,96,96,240,144,96,48,48,48
,32,16,48,16,16,16,16],[38918880,145152,864,54432,6048,144,480,1008,5040,144,
288,1008,48,48,144,192,48,72,80,48,24,8,48,24,8,8,8,8],[38918880,36288,2592,
1152,192,96,96,5040,1008,96,96,48,48,432,48,48,192,16,32,16,168,16,8,16,8,8],[
38918880,36288,5760,6048,96,192,384,288,32,96,5040,32,32,32,96,192,96,48,48,32
,16,32,32,16,16,16,16,16,16,16,16],[38918880,36288,2880,8928,240,96,192,192,96
,32,288,1008,5040,16,32,48,48,48,96,144,48,48,16,16,32,16,24,8,8,16,8,8,16,8,8
,8,8],[38918880,8640,3744,144,96,64,112,96,5040,48,16,32,16,48,288,48,144,16,
24,16,16,56,16,8,24,8,16,8,8],[38918880,127008,1440,3168,1056,96,288,96,32,
5040,96,96,32,32,32,5040,48,48,48,48,32,16,48,16,16,48,16,16,16,16,16,16,16,16
],[38918880,90720,4320,864,144,288,48,96,32,5040,48,48,32,16,16,5040,144,144,
16,24,144,24,16,16,24,8,8,16,8,8],[38918880,127008,1440,3168,1056,96,288,1008,
144,5040,96,48,48,48,16,5040,48,48,48,48,16,16,48,16,16,48,8,8,16,8,8,8,8,8],[
38918880,36288,7200,288,192,96,192,288,32,5040,96,32,32,32,96,240,48,32,48,16,
32,32,16,16,16,16,16,16,16],[38918880,108864,5760,288,6048,288,384,32,32,5040,
288,32,32,32,192,48,144,32,48,48,32,16,16,48,16,16,16,16],[38918880,72576,6624
,54432,144,288,192,288,144,5040,144,32,144,16,16,96,144,96,16,72,48,24,32,16,8
,24,16,8,8,8,8],[38918880,108864,2880,3168,6048,240,288,192,96,32,144,5040,288
,16,48,48,16,96,48,48,144,16,48,48,16,24,8,8,8,48,8,8,8,8,8],[38918880,36288,
5760,1440,288,192,96,96,32,5040,96,48,16,16,16,192,240,48,16,48,16,32,48,16,16
,24,8,8,8,8],[38918880,2880,4896,1008,96,64,16,32,5040,1008,16,16,16,16,96,48,
336,16,168,16,16,8,16,168,8,8,8,8,8],[38918880,36288,1440,288,192,96,288,5040,
96,32,240,48,32,48,16,32,16,16,16,16],[38918880,72576,864,54432,144,288,144,32
,5040,144,32,16,144,96,16,72,48,24,16,8,24,16,8,8],[38918880,36288,1440,288,
192,96,64,5040,96,32,240,48,16,48,16,32,32,16,16,8],[38918880,36288,1440,288,
192,96,2016,5040,96,96,240,48,96,48,16,32,16,16,16,16],[38918880,72576,864,
54432,144,288,1008,96,5040,144,96,48,144,96,48,72,48,24,16,8,24,16,8,8],[
38918880,36288,1440,288,192,96,192,5040,96,96,240,48,48,48,16,32,32,16,16,8],[
38918880,145152,4320,54432,720,1440,2520,216,5040,720,72,72,5040,72,72,72,180,
36,72,72,72,72,12,12,12],[38918880,145152,4320,1512,1440,216,7560,72,5040,72,
720,72,5040,72,72,72,540,12,12,72,12,12,72,12,12],[38918880,145152,4320,1512,
1440,216,2520,216,5040,72,72,48,5040,72,72,24,180,36,12,72,12,12,24,12,12],[
38918880,127008,1440,3168,1056,96,288,5040,144,5040,96,240,48,48,16,5040,48,48
,48,48,16,360,24,16,48,16,16,48,16,24,24,8,8,8],[38918880,54432,4320,1440,
54432,288,288,240,48,5040,288,48,48,144,24,72,48,12,12,72,24,24,24,12,12,12],[
38918880,127008,1440,3168,1056,96,288,64,5040,96,64,32,32,5040,48,48,48,48,32,
16,16,48,16,16,48,16,16,8,8,8],[38918880,18144,1440,4896,288,192,96,32,240,48,
5040,32,32,16,16,32,48,72,96,24,16,12,12,8,32,8,24,8,8,4,8,4,8,4],[38918880,
127008,1440,3168,1056,96,288,288,5040,96,16,48,32,5040,48,48,48,48,16,48,16,48
,16,16,48,16,16,8,8,8],[38918880,127008,1440,3168,1056,96,288,480,32,5040,96,
480,32,32,32,5040,48,48,48,48,32,24,8,16,48,16,16,48,16,24,8,8,8,8],[38918880,
108864,2880,2016,48,480,192,96,32,2520,216,5040,16,16,24,24,48,5040,96,24,96,
24,8,180,36,8,96,24,8,8,8,24,8,4,4,4],[38918880,5760,3168,96,32,144,16,5040,16
,16,144,16,16,192,48,48,16,16,16,8,24,24,8,8,8,8,8],[38918880,36288,2880,3168,
240,96,192,96,32,1008,32,5040,16,48,32,96,48,48,48,16,16,16,24,8,8,16,8,8,16,8
,8],[38918880,36288,2880,3168,240,96,192,96,32,144,96,5040,16,96,16,96,48,48,
48,16,16,16,24,8,8,8,16,8,8,16,8],[38918880,36288,5760,288,96,384,32,1008,144,
5040,32,48,16,192,48,48,16,16,32,16,8,8,16,8,8,8],[38918880,2880,3744,144,96,
64,16,96,32,5040,16,48,16,96,48,144,8,24,16,16,8,16,16,8,8,8,4],[38918880,
36288,5760,288,96,32,96,32,5040,16,16,16,96,16,192,48,48,16,16,16,16,16,16,8,8
,8,8,8],[38918880,2880,3744,144,96,16,96,32,5040,8,8,8,16,48,16,8,96,48,144,8,
24,16,8,16,16,8,8,4,8,4,4,4,4],[38918880,36288,1440,288,96,192,5040,48,48,144,
96,96,240,48,48,48,16,32,24,16,16,8,8,8],[38918880,4320,288,96,48,48,5040,48,
16,16,16,32,48,240,16,48,16,24,8,16,8,8,8,8,8],[38918880,36288,2880,864,144,96
,16,48,48,5040,24,8,8,16,32,16,8,96,144,48,8,24,16,8,24,8,16,8,4,4,8,4,4,4],[
38918880,90720,7200,1440,288,480,96,48,16,5040,96,48,16,16,16,5040,240,240,16,
48,240,48,8,8,48,8,8,8,8,8],[38918880,5760,4320,288,96,64,96,48,16,5040,48,16,
48,8,8,8,8,192,48,240,8,48,16,16,48,8,8,8,24,8,4,4,4,4,4],[38918880,36288,8640
,864,144,96,384,112,48,16,5040,48,32,24,16,8,8,8,288,144,48,8,24,16,32,56,8,8,
16,24,4,4,8,4,4,4],[38918880,90720,4320,4320,54432,1512,480,288,216,504,72,
5040,288,72,504,72,24,24,24,144,72,120,24,72,12,40,24,12,4,4,24,12,4,4,4,4,4,4
],[38918880,54432,1440,7776,1512,288,192,288,32,216,504,72,5040,32,72,24,24,24
,8,24,48,120,96,72,8,12,8,32,24,24,8,12,4,4,8,12,4,4,4,4,4,4],[38918880,145152
,2880,4896,1512,48,1440,192,96,32,216,504,72,5040,16,72,24,24,24,8,24,5040,96,
72,96,72,8,12,8,96,72,8,8,12,4,4,8,12,4,4,4,4,4,4],[38918880,181440,7200,54432
,1512,720,2400,216,504,72,5040,720,72,504,72,24,24,24,5040,120,120,24,72,12,72
,120,12,4,4,72,12,4,4,4,4,4,4],[38918880,36288,2880,6624,144,96,192,64,288,16,
48,16,5040,32,16,24,8,8,8,16,96,96,144,48,8,24,16,32,16,8,16,8,8,8,16,4,8,4,4,
4,4],[38918880,127008,4320,3744,144,1056,96,480,48,48,16,5040,96,48,24,8,8,8,
16,5040,144,48,144,48,8,24,16,144,16,16,48,24,8,8,24,16,4,8,4,4,4,4],[38918880
,108864,1440,480,5544,216,5040,240,24,24,5040,24,24,24,360,24,24,4,4,24,4,4,4]
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,4,4,24,4,4,4],[38918880,108864,1440,480,3024,144,32,5040,32,48,5040,24,24,16,
180,12,8,24,4,4,8,4,4,4],[38918880,108864,1440,480,504,360,5040,24,24,16,5040,
24,24,8,48,24,4,4,8,4,4,4],[38918880,90720,1440,288,96,288,48,16,5040,16,16,
5040,48,48,8,48,48,8,8,8,8,4],[38918880,3168,96,528,48,5040,48,48,48,24,24,8,
16,8,8,8,8,4],[38918880,90720,1440,288,96,48,16,5040,16,8,5040,48,48,8,48,8,8,
8,4,4],[38918880,3168,96,48,16,5040,16,8,48,48,8,16,8,8,8,4,4],[38918880,36288
,288,96,32,5040,32,8,48,48,8,16,16,16,4,4],[38438400,537600,13440,192,768,
13440,768,768,192,192,192,192,192,768,192,192,192,192],[38438400,403200,6720,
624,6720,192,192,192,48,192,48,48,48],[38438400,6720,72,624,192,192,48,24,6,24
,48,6,6],[38438400,403200,6720,216,192,6720,192,192,6,6,192,6,6,6],[38438400,
6720,288,192,192,48,24,6,24,3,24,6,24,3,3],[38438400,134400,3360,480,768,192,
48,96,48,48,120,24,48,12,48,48,12,12,12,12],[38438400,134400,3360,48,336,48,96
,48,48,12,24,24,6,12,24,6,6,6,6,6],[37065600,51840,7560,51840,216,180,216,12,
180,12,12,12],[37065600,51840,7560,1440,216,180,72,12,180,12,12,12],[37065600,
51840,518400,51840,180,51840,12,36,12,12],[37065600,51840,4320,1440,180,1440,
12,36,12,12],[37065600,51840,1296,51840,180,108,12,18,12,6],[37065600,51840,
648,1440,180,36,12,18,12,6],[37065600,17280,7560,480,72,180,24,4,180,4,4,4],[
37065600,17280,3840,7560,96,240,72,180,24,24,4,180,4,24,4,4],[37065600,17280,
3840,7560,128,72,48,180,8,24,4,180,4,24,4,4],[37065600,17280,1920,1920,7560,
128,120,72,24,180,8,12,12,4,180,4,12,12,4,4],[37065600,17280,7560,96,72,180,24
,4,180,4,4,4],[37065600,51840,7680,129600,288,2880,288,192,180,48,48,12,9,12,9
,3,3,3],[37065600,51840,7680,1080,384,360,72,24,180,24,48,12,9,12,9,3,3,3],[
34594560,80640,241920,2016,4480,1920,96,2016,4480,160,16,96,160,16,16,16],[
34594560,145152,241920,2016,4480,16128,2016,2016,192,160,16,2016,48,16,16,16],
[34594560,11520,241920,2016,4480,1152,96,2016,192,160,16,96,48,16,16,16],[
34594560,768,241920,2016,4480,48,48,2016,128,160,16,48,8,8,16,8],[34594560,
48384,241920,2016,4480,2688,576,2016,64,160,16,48,8,16,16,8],[34594560,3840,
241920,2016,4480,48,48,2016,128,160,16,48,8,8,16,8],[34594560,3840,241920,2016
,4480,192,384,2016,64,160,16,48,16,8,16,8],[32432400,90720,5040,15120,90720,
2880,720,720,720,720,2520,720,720,720,360,360,2160,360,720,360,360,360,360,360
,360],[32432400,272160,2160,15120,90720,15120,720,720,1200,5040,240,5040,720,
720,720,5040,240,240,240,240,2160,360,720,240,240,240,240,720,120,240,360,120]
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24,2160,360,720,24,24,24,24,360,24],[32432400,90720,2880,2160,324,2520,720,96,
216,48,48,36,48,48,72,24,24,24,36,12,24,12,24,12,12,12,12],[32432400,90720,
2880,2160,324,2520,720,96,216,48,48,36,48,48,72,24,24,24,36,12,24,12,24,12,12,
12,12],[32432400,1440,5040,324,2520,48,48,24,24,48,12,2520,12,24,24,24,24,12,
12,12,12,24,12,12,12,12],[32432400,4320,2160,324,360,48,48,24,72,240,32,36,12,
24,24,16,16,16,8,8,8,120,16,12,12,12,8,4,8,8,8,4,4,4,4,12,4],[32432400,90720,
5040,15120,90720,720,720,720,96,144,144,16,48,720,720,16,144,16,16,16,16,2160,
360,720,16,16,16,16,16,8,16,360,8],[32432400,90720,2880,2160,648,90720,720,720
,720,48,48,24,720,720,24,24,24,24,108,18,720,24,24,6,24,18,6],[32432400,90720,
5040,648,45360,1260,600,720,180,72,2520,72,240,72,360,36,48,120,72,24,12,24,
240,120,12,72,54,18,36,120,12,12,24,12,12,24,18,6,12,18,6],[32432400,90720,
5040,324,2520,720,480,720,96,216,144,16,12,240,48,72,48,24,16,16,24,36,12,24,8
,8,24,16,4,4,8,12,4],[32432400,90720,2880,2160,324,2520,720,96,192,216,16,144,
240,36,48,72,16,48,16,8,240,24,36,12,24,24,8,16,8,12,4,8,12,4],[32432400,90720
,5040,648,90720,720,720,720,96,144,144,16,12,720,720,16,144,16,16,16,16,108,18
,720,16,16,16,16,4,2,16,18,2],[32432400,90720,5040,648,45360,1260,600,720,180,
72,144,16,12,360,36,48,72,24,8,12,8,16,12,8,72,54,18,36,8,4,4,12,8,4,4,2,2,4,
18,2],[32432400,90720,5040,324,45360,1260,600,720,180,72,144,16,12,360,36,48,
72,24,8,12,8,16,12,8,81,18,9,36,8,4,4,12,8,4,3,2,1,4,9,1],[32432400,90720,3120
,15120,5040,1680,480,240,240,240,1680,240,240,240,240,240,240,240,5040,240,240
,240,240,240,240,240,240,240],[32432400,90720,3120,648,5040,1680,480,240,240,
12,1680,240,240,240,240,240,240,240,72,12,240,240,240,12,12,12,240,12],[
32432400,2880,1680,648,48,96,24,48,120,8,12,8,48,8,8,8,8,8,120,8,8,8,6,6,8,8,8
,8,2,2,6,2,8,2],[32432400,2880,1680,648,48,96,24,48,120,8,12,8,48,8,8,8,8,8,
120,8,8,8,6,6,8,8,8,8,2,2,6,2,8,2],[32432400,90720,2880,240,648,5040,240,192,
96,16,16,12,240,16,8,8,8,16,8,8,16,8,72,6,16,8,8,8,12,2,2,2,8,2],[32432400,
1440,3120,648,840,48,32,48,24,8,16,12,840,8,8,4,8,8,4,4,8,8,8,8,4,6,6,3,4,8,4,
4,4,2,6,1,2,2,4,1],[32432400,45360,5040,1680,453600,45360,840,336,336,504,168,
672,840,336,168,168,168,168,45360,336,168,168,168,336,336,168,168,168],[
32432400,45360,5040,1680,3780,45360,840,336,336,504,168,60,108,36,840,336,168,
168,168,168,30,108,12,12,168,168,168,30,6,6,12,168,6,6,6,6],[32432400,136080,
720,4560,453600,45360,5040,720,1680,144,336,48,48,432,144,4320,96,720,240,48,
48,48,48,48,144,48,144,144,144,45360,576,96,144,48,48,48,48,720,48,96,48,144,
48,48],[32432400,105840,2160,3600,453600,90720,720,960,1200,144,432,288,96,48,
2880,288,960,288,96,96,720,144,48,48,48,48,45360,2160,96,48,720,96,48,48,48,
480,144,48,48,360,48,24,24],[32432400,136080,720,4560,3780,45360,5040,720,1680
,144,336,48,48,432,144,60,108,36,720,240,48,48,48,48,48,144,48,144,144,144,
1260,108,12,12,144,48,48,48,48,60,36,36,12,48,36,12,12,12],[32432400,226800,
240,3600,3780,25200,3600,240,240,720,180,108,12,3600,240,240,240,720,1260,36,
36,12,720,240,240,180,12,36,12,240,12,12,36,12],[32432400,75600,3600,2640,
453600,45360,240,400,560,48,336,432,80,144,112,1440,480,240,240,16,48,80,48,48
,80,48,48,48,80,16,48,45360,96,32,64,48,48,32,16,16,32,16,240,240,32,16,48,16,
32,16],[32432400,90720,3120,15120,90720,1440,720,720,240,240,840,720,720,240,
120,120,2160,360,720,120,120,120,120,360,120],[32432400,90720,960,2160,15120,
90720,720,720,720,16,16,48,720,720,8,8,8,8,2160,360,720,8,8,8,8,360,8],[
32432400,90720,3120,648,90720,1440,720,720,240,12,840,720,720,240,120,120,108,
18,720,120,120,6,120,18,6],[32432400,90720,960,2160,324,2520,720,96,216,16,16,
12,16,48,72,8,8,8,36,12,24,4,8,4,4,12,4],[32432400,90720,960,2160,324,2520,720
,96,216,16,16,12,16,48,72,8,8,8,36,12,24,4,8,4,4,12,4],[32432400,1440,3120,648
,1080,48,48,24,24,16,12,840,12,24,8,8,8,18,6,12,4,8,6,4,3,1],[32432400,272160,
2160,453600,90720,15120,720,720,1200,5040,240,20160,2160,720,720,720,5040,240,
240,240,240,45360,2160,720,720,720,240,240,240,240,2520,720,360,240,360,120,
120,120],[32432400,90720,5040,453600,45360,1260,600,720,180,72,2520,72,240,288
,2160,360,36,48,120,72,24,12,24,240,120,12,45360,144,48,720,36,120,12,12,24,12
,12,72,48,360,12,36,12,120,12],[32432400,90720,5040,3780,45360,1260,600,720,
180,72,2520,72,240,360,108,360,36,48,120,72,24,12,24,240,120,12,1260,108,36,36
,36,120,12,12,24,12,12,120,36,36,12,36,12,12,12],[32432400,151200,4080,3780,
12600,720,480,1200,120,144,240,24,120,36,1200,240,120,48,240,24,240,24,1260,12
,12,36,120,24,24,240,24,24,12,120,12,24,12,12,12,12],[32432400,90720,5040,
453600,90720,720,720,720,96,144,144,16,288,2160,720,720,16,144,16,16,16,16,
45360,2160,16,16,720,16,16,16,16,72,16,360,16,360,8,8,8],[32432400,60480,1440,
4080,453600,45360,160,240,96,96,144,16,144,16,2520,72,240,288,720,192,120,96,8
,16,16,8,72,24,24,8,16,240,120,8,45360,16,16,720,8,120,8,8,16,8,8,72,16,120,96
,8,8,8,120,8],[32432400,241920,1440,1200,453600,45360,15120,160,720,96,144,16,
16,2520,72,16,20160,720,192,120,720,96,8,16,8,2520,120,24,24,16,120,16,8,45360
,16,720,16,8,8,8,8,120,16,8,2520,16,120,96,8,8,120,8,8],[32432400,90720,5040,
453600,45360,1260,600,720,180,72,144,16,288,2160,360,36,48,72,24,8,12,8,16,12,
8,45360,144,48,16,36,8,4,4,12,8,4,72,8,360,4,36,12,8,4],[32432400,90720,2880,
2160,3780,2520,720,96,192,216,16,144,240,72,108,48,72,16,48,16,8,240,24,1260,
36,12,36,24,24,8,16,8,24,12,36,8,12,4,12,4],[32432400,90720,5040,3780,45360,
1260,600,720,180,72,144,16,24,108,360,36,48,72,24,8,12,8,16,12,8,1260,108,4,4,
36,8,4,4,12,8,4,24,4,36,4,36,4,4,4],[32432400,60480,480,5040,3780,1260,360,240
,96,16,16,180,72,2520,72,16,360,36,24,8,8,24,12,24,120,24,8,4,8,120,16,12,1260
,4,36,4,4,12,8,4,8,4,12,120,4,24,12,4,4,12,4,4],[32432400,151200,2880,1200,
3780,12600,1200,192,120,16,144,16,72,120,36,1200,120,16,48,16,8,16,24,1260,12,
12,4,120,24,8,16,8,24,4,120,12,8,12,4,4,4],[32432400,90720,5040,3780,2520,720,
480,720,96,216,144,16,24,108,240,48,72,48,24,16,16,24,1260,36,12,4,24,8,8,24,
16,24,4,36,8,12,12,4,4],[32432400,60480,480,5040,3780,1260,360,240,96,16,16,
180,72,144,240,24,36,24,8,8,24,12,24,24,16,24,4,240,12,8,1260,4,4,36,4,12,8,4,
24,4,4,24,4,24,12,4,4,4,12,4],[32432400,60480,1440,4080,453600,45360,160,240,
96,96,144,16,144,16,144,16,288,720,192,120,96,8,16,16,8,72,8,12,4,8,8,16,16,
45360,16,16,16,8,8,8,4,4,8,8,72,8,120,96,4,8,8,8,4],[32432400,90720,5040,3780,
45360,1260,600,720,180,72,144,16,24,108,360,36,48,72,24,8,12,8,16,12,8,270,36,
12,4,36,8,4,4,12,8,4,4,4,18,4,18,2,2,2],[32432400,90720,5040,3780,90720,720,
720,720,96,144,144,16,24,108,720,720,16,144,16,16,16,16,270,108,4,4,720,16,16,
16,16,4,4,18,16,18,2,2,2],[32432400,151200,2880,1200,162,12600,1200,192,120,16
,144,16,12,54,6,1200,120,16,48,16,8,16,24,18,6,6,6,120,24,8,16,8,4,2,6,6,8,6,2
,2,2],[32432400,90720,5040,162,45360,1260,600,720,180,72,144,16,6,162,360,36,
48,72,24,8,12,8,16,12,8,18,162,6,6,36,8,4,4,12,8,4,2,6,18,4,18,2,2,2],[
32432400,378000,720,8400,113400,50400,8400,720,720,1920,12600,120,360,1800,120
,8400,720,720,720,1920,360,120,120,1800,120,120,120,360,120,120,1920,720,720,
120,120,360,120,120,120,120,120,120,120,720,120,120,120,120,120,120],[32432400
,136080,6480,6480,113400,90720,720,1440,2160,432,1296,864,288,144,2520,1080,
216,1080,216,1440,864,288,288,720,432,144,144,144,144,1080,72,72,72,216,216,72
,72,72,216,72,72,720,288,144,144,144,72,72,72,216,72,72,72,72,72,72,72,72,144,
72,72,72,72,72,72],[32432400,226800,2160,9360,113400,45360,12600,1440,3600,432
,1008,144,144,1080,360,7560,360,360,1080,216,1440,720,144,144,144,144,144,432,
144,432,360,360,540,36,108,72,36,36,540,216,144,72,144,108,36,36,108,36,36,360
,144,144,144,144,36,36,36,108,36,36,36,36,36,36,36,36,108,36,72,36,36,36,36,
144,36,36,36,36,36,36,36,36],[32432400,181440,6480,3780,181440,1260,2160,2160,
2160,108,36,1260,108,1260,36,108,2160,2160,36,36,1260,108,36,36,36,36,36,1260,
108,36,36,2160,36,36,36,36,36,36,1260,36,36,36,36,36,36,36,36],[32432400,
181440,6480,453600,90720,3780,720,1440,2160,324,108,1260,108,10080,432,2160,
1440,720,108,108,1260,108,36,36,36,36,36,45360,2160,144,144,720,108,36,36,36,
36,36,1260,108,360,144,36,360,36,36,36],[32432400,362880,3600,453600,45360,
35280,360,3600,360,36,3780,36,30240,144,2160,360,3600,360,36,3780,360,36,36,36
,360,36,45360,144,2160,144,360,36,360,36,36,36,36,3780,36,360,144,36,36,360,36
,36],[32432400,181440,6480,453600,45360,5040,360,2160,288,648,36,1260,108,
10080,432,2160,360,144,216,36,1260,108,36,36,24,36,24,45360,144,144,48,36,72,
36,24,12,12,12,1260,108,360,24,12,36,24,36,12],[32432400,257040,720,4560,
453600,45360,15120,240,2000,144,336,48,16,432,2520,72,20160,288,1440,96,240,
720,48,16,16,144,48,144,144,2520,120,72,24,24,24,24,8,120,24,24,8,45360,32,720
,96,48,16,48,16,120,24,24,8,8,8,8,8,8,2520,72,240,48,16,8,16,120,24,8,24,8],[
32432400,90720,4320,3600,3780,45360,1260,480,720,288,432,48,108,36,48,1260,108
,180,108,108,360,288,24,36,48,24,36,60,36,36,12,12,36,36,1260,108,36,36,36,24,
12,12,12,12,36,60,36,36,36,12,36,12,12,12],[32432400,105840,3120,4560,3780,
5040,720,480,720,48,304,192,64,144,48,144,72,24,60,36,12,240,32,240,48,16,48,
48,48,16,16,16,48,48,24,8,8,24,16,1260,4,12,4,8,12,16,16,24,8,8,8,16,8,24,24,
60,12,12,4,8,4,8,12,4,4,4],[32432400,60480,1920,6480,3780,1260,720,720,240,192
,192,64,96,108,36,32,1260,108,180,36,24,36,24,64,16,8,240,24,12,32,16,12,60,24
,24,12,12,12,24,4,8,12,12,24,1260,4,4,12,8,12,4,16,12,12,8,4,4,4,4,8,4,60,24,
12,24,12,4,4,4,8,4,12,4,4],[32432400,151200,3360,3600,3780,136080,1260,480,720
,288,400,48,108,36,48,1260,108,1260,72,12,36,24,360,288,24,8,24,12,48,24,12,
1260,108,12,12,24,24,12,8,8,12,12,24,1260,4,12,4,24,12,4,24,12,4,4,8,4,4,12,24
,4,1260,12,24,24,12,4,4,4,24,12,4,4,4],[32432400,241920,5520,3780,136080,12600
,1080,2640,336,108,3780,36,1260,360,12,120,36,1080,1200,192,108,3780,360,36,36
,36,360,36,1260,12,120,36,12,12,120,108,360,36,36,36,36,1260,120,12,120,12,12,
36,12,120,12,12,12,12],[32432400,90720,1440,6480,3780,2520,360,720,96,288,48,
48,432,108,3780,36,540,36,108,24,24,72,48,72,36,180,72,12,36,12,360,36,1260,36
,108,36,24,12,36,24,12,12,36,180,12,36,36,12,12,12,36,12],[32432400,181440,
6480,3780,136080,2520,1080,2160,96,432,108,1260,108,1260,36,108,1080,48,144,
108,1260,108,36,36,24,36,24,1260,36,36,12,108,24,36,24,12,12,12,1260,36,36,12,
12,12,12,36,12],[32432400,105840,240,7440,3780,5040,480,720,240,112,32,432,144
,2520,72,360,24,60,36,12,240,48,32,16,48,48,48,48,48,240,48,48,16,120,24,24,8,
1260,4,36,12,8,4,16,16,24,24,8,8,16,8,120,24,60,12,12,4,8,4,8,4,12,12,4],[
32432400,151200,1440,5520,3780,12600,360,1200,288,48,48,336,108,1260,108,180,
36,24,120,36,1200,24,24,72,120,36,180,72,36,12,12,36,24,1260,12,12,12,8,4,120,
12,36,24,12,12,12,60,24,12,120,12,4,12,12,8,4,4,12,4],[32432400,196560,1680,
4560,3780,136080,5040,720,1680,144,400,144,48,144,2520,72,1260,180,36,12,60,36
,12,720,240,144,48,48,48,16,144,48,2520,120,72,24,24,24,24,8,120,24,24,8,1260,
4,60,12,12,4,4,12,16,48,120,24,24,8,8,8,8,8,8,1260,60,12,12,60,12,12,4,8,4,60,
12,4,4,4,12,4],[32432400,75600,720,7440,453600,45360,720,560,240,144,48,48,288
,144,144,576,1440,96,240,48,48,48,16,16,32,48,48,144,16,24,8,8,24,16,45360,32,
96,32,16,16,16,24,8,8,8,8,16,8,144,240,48,16,8,16,16,24,8,8],[32432400,151200,
1440,5520,453600,45360,3780,400,720,288,144,48,324,108,16,1260,108,10080,432,
720,192,120,96,24,24,72,36,16,8,36,1260,108,12,12,24,24,12,8,8,12,12,24,45360,
16,48,48,48,16,12,8,12,4,4,8,4,4,12,24,4,1260,108,120,96,8,4,8,24,12,12,8,4],[
32432400,181440,6480,3780,45360,5040,360,2160,288,648,36,1260,108,1260,36,108,
360,144,216,36,1260,108,36,36,24,36,24,270,36,36,12,36,72,36,24,12,12,12,90,6,
18,12,12,18,6,6,6],[32432400,181440,6480,3780,90720,3780,720,1440,2160,324,108
,1260,108,1260,36,108,1440,720,108,108,1260,108,36,36,36,36,36,270,108,36,36,
720,108,36,36,36,36,36,90,6,18,36,36,18,6,6,6],[32432400,45360,6480,2160,3780,
45360,480,432,432,288,96,120,24,180,108,108,432,96,96,120,24,24,24,24,24,24,30
,108,36,36,96,24,24,24,24,30,6,6,36,24,6,6,6,6],[32432400,15120,4560,4560,3780
,840,240,96,112,96,80,72,136,32,72,24,60,36,12,840,16,48,48,8,24,56,56,16,16,
16,16,16,16,8,8,16,16,8,30,4,12,4,8,12,56,8,8,16,8,8,8,8,8,8,4,4,30,2,2,4,8,2,
4,2,2,2,2,2],[32432400,105840,5520,2160,3780,120,720,48,144,544,216,120,120,24
,1260,72,12,36,24,48,48,56,48,16,8,96,24,60,16,16,16,8,4,4,12,4,4,8,8,8,8,30,4
,12,4,24,12,48,8,4,4,8,8,8,4,4,4,4,4,4,30,4,2,4,2,4,4,2,2,4,2,2,2,2],[32432400
,15120,4080,5040,3780,480,240,96,144,64,80,144,128,120,24,180,36,24,36,24,16,
48,48,16,24,16,32,16,16,24,120,8,8,8,16,8,8,8,8,8,8,8,8,30,4,4,12,8,12,8,8,4,4
,8,8,8,4,4,4,4,4,4,30,2,4,4,2,4,4,2,4,2,2,2,2,2],[32432400,90720,4320,3600,162
,45360,1260,480,720,288,432,48,108,36,48,1260,108,18,18,162,360,288,24,36,48,
24,36,60,36,36,12,12,36,36,18,162,18,18,36,24,12,12,12,12,36,6,6,18,18,12,18,6
,6,6],[32432400,136080,2160,5040,3780,45360,120,720,1680,144,432,144,48,72,24,
120,24,1260,36,108,720,144,48,48,24,144,24,60,12,12,12,12,12,24,24,30,108,36,
36,24,48,12,12,12,12,24,30,6,6,36,12,6,6,6,6],[32432400,151200,1440,5520,162,
12600,360,1200,288,48,48,336,108,1260,108,18,6,6,54,6,1200,24,24,72,120,36,180
,72,36,12,12,36,24,18,6,6,2,6,2,120,12,36,24,12,12,12,6,2,2,6,6,2,12,6,2,2,2,2
,2],[32432400,105840,3120,4560,3780,1200,480,720,48,304,192,64,80,240,16,1260,
180,36,12,60,36,12,840,32,240,48,56,80,16,16,16,240,120,16,16,8,8,8,120,16,8,8
,30,4,60,12,12,4,4,12,56,16,120,8,8,16,8,8,8,8,8,30,30,2,2,30,2,2,4,8,2,30,2,2
,2,2,2,2],[32432400,45360,6480,2160,81,360,240,16,144,288,408,136,120,24,27,3,
9,16,16,56,16,48,24,32,72,60,16,16,16,8,4,4,12,4,4,8,8,8,8,1,3,9,3,16,24,4,4,8
,8,8,4,4,4,4,4,4,1,1,1,1,1,1,1,3,4,1,1,1,1,1,1,1,1],[32432400,45360,720,240,
453600,45360,48,48,120,24,96,48,120,24,24,24,24,24,45360,48,24,24,24,48,48,24,
24,24],[32432400,105840,2160,3600,15120,90720,720,960,1200,144,432,288,96,48,
144,960,288,96,96,720,144,48,48,48,48,2160,360,720,96,48,48,48,48,24,48,360,24
],[32432400,226800,240,3600,324,25200,3600,240,240,720,12,3600,240,240,240,720
,36,12,720,240,240,12,12,240,12,12],[32432400,136080,720,4560,648,45360,5040,
720,1680,144,336,48,48,432,144,12,720,240,48,48,48,48,48,144,48,144,144,144,72
,54,18,144,48,48,48,48,12,6,6,48,18,6],[32432400,45360,3120,3600,324,720,480,
240,144,240,192,128,96,112,12,64,32,240,64,64,32,64,16,48,16,80,48,12,12,48,16
,32,16,32,4,4,4,4,16,12,4],[32432400,45360,5040,1680,648,45360,840,336,336,504
,168,12,840,336,168,168,168,168,54,6,9,168,168,168,6,6,3,168,3,3],[32432400,
90720,3120,113400,5040,1680,480,240,240,1080,312,1680,240,240,240,240,240,240,
240,144,168,24,48,24,240,240,240,168,24,24,24,24,24,24,24,240,24,24,24,24],[
32432400,75600,720,1680,453600,45360,240,560,48,144,48,16,80,16,1440,96,240,48
,16,16,48,80,16,16,16,16,16,45360,32,32,16,16,16,16,16,240,48,32,16,16,16,16],
[32432400,45360,2160,720,453600,45360,120,144,144,72,24,80,16,288,144,24,24,40
,16,16,8,8,8,45360,48,32,24,16,8,8,8,144,16,8,24,16,8],[32432400,75600,720,
1680,453600,45360,240,560,48,144,48,16,840,72,1440,96,240,48,16,16,48,40,8,24,
24,24,8,45360,32,96,16,24,8,8,8,240,48,16,8,16,24,8],[32432400,105840,240,1680
,3780,5040,720,48,112,144,1680,48,60,36,12,240,48,16,48,48,240,48,16,16,1260,4
,12,12,16,48,16,16,60,12,12,4,16,4,12,4,4],[32432400,151200,2160,3780,136080,
1260,360,720,36,2520,120,240,1260,12,36,360,12,1260,36,12,12,240,120,36,48,
1260,12,36,12,120,12,12,36,12,24,12,1260,12,12,12,12,12,12,12,12],[32432400,
151200,2160,453600,45360,3780,120,720,108,4200,72,240,10080,144,720,120,36,
1260,36,12,12,240,360,12,48,45360,48,720,48,120,12,12,12,36,24,12,1260,36,120,
48,12,12,120,12,12],[32432400,151200,2160,453600,45360,3780,120,720,108,1680,
144,16,10080,144,720,120,36,1260,36,12,12,16,12,48,24,45360,48,16,48,8,4,12,12
,12,8,4,1260,36,120,8,4,12,8,12,4],[32432400,151200,2160,3780,136080,1260,360,
720,36,1680,144,16,1260,12,36,360,12,1260,36,12,12,16,36,48,8,1260,12,4,12,8,4
,12,36,4,8,4,1260,12,12,4,4,12,4,4,4],[32432400,60480,1440,2160,3780,1260,120,
240,96,48,16,36,1680,144,240,180,36,36,8,12,60,12,12,4,240,8,12,24,24,8,1260,
12,36,12,12,8,4,4,4,24,4,60,12,12,12,4,4,12,4,4],[32432400,60480,1440,2160,
3780,1260,120,240,96,48,16,36,2520,120,16,180,36,36,8,12,60,12,12,4,120,16,8,
12,24,24,1260,12,4,12,8,4,4,12,4,12,8,60,12,12,4,4,4,4,12,4],[32432400,151200,
2160,3780,45360,3780,120,720,108,1680,144,16,1260,12,36,120,36,1260,36,12,12,
16,12,48,24,270,12,4,12,8,4,12,12,12,8,4,90,2,6,4,4,2,2,6,2],[32432400,60480,
1440,2160,162,1260,120,240,96,48,16,36,2520,120,16,18,6,54,8,12,60,12,12,4,120
,16,8,12,24,24,18,6,6,6,8,4,4,12,4,12,8,6,2,6,2,4,2,2,6,2],[32432400,120960,
3600,113400,90720,1260,720,960,1200,108,36,420,36,1440,360,960,720,36,36,420,
36,12,12,12,12,12,1080,36,72,108,120,36,96,36,12,720,36,12,12,12,12,12,96,36,
72,36,12,36,12,12,12,12,12,12,72,36,12,12,12,12,12,12],[32432400,181440,2640,
113400,45360,12600,360,1680,192,36,1260,12,2160,264,360,1200,144,36,1260,120,
12,12,12,120,12,540,360,192,168,36,36,12,36,120,36,120,12,12,12,12,120,36,144,
36,36,12,12,12,12,12,12,12,120,36,12,12,12,12,12,12],[32432400,90720,3120,
113400,90720,1440,720,720,240,1080,312,840,720,720,240,120,120,1080,144,72,72,
24,720,120,120,84,72,72,24,12,12,120,72,12,12,12],[32432400,151200,2160,113400
,12600,240,160,1200,120,48,80,1800,216,1200,80,120,16,80,8,80,8,360,24,120,120
,16,48,8,120,8,8,80,8,120,120,8,16,8,8,8,8,8,120,8,8,8,8,8],[32432400,90720,
3120,113400,45360,1260,440,720,132,48,840,24,80,1080,312,360,36,40,40,24,8,4,8
,80,40,4,540,36,132,72,48,44,24,24,8,36,40,4,4,8,4,4,36,36,40,24,8,4,4,8,8,4,4
,4,36,8,4,4,4,4,4,4],[32432400,151200,2160,113400,90720,5040,720,720,880,1680,
80,1800,216,720,240,720,1680,80,80,80,80,1080,144,72,88,72,48,8,720,80,80,80,
80,24,72,72,48,8,8,8,8,80,72,8,8,8,8,8],[32432400,90720,2880,2160,113400,90720
,720,720,720,48,48,480,1080,216,720,720,24,24,24,24,1080,72,72,72,24,24,720,24
,24,12,12,72,72,12,12,24,72,12,12,12],[32432400,151200,2880,1200,113400,12600,
1200,192,120,16,144,16,480,1800,120,1200,120,16,48,16,8,16,24,360,120,120,48,8
,16,8,120,24,8,16,8,16,8,8,120,120,8,8,8,8,120,8,8,8,8,8],[32432400,90720,5040
,113400,90720,720,720,720,96,144,144,16,144,1080,216,720,720,16,144,16,16,16,
16,1080,72,72,72,16,16,16,8,720,16,16,16,16,8,16,8,72,72,8,8,8,16,72,8,8,8,8,8
],[32432400,90720,5040,113400,45360,1260,600,720,180,72,144,16,144,1080,216,
360,36,48,72,24,8,12,8,16,12,8,540,36,108,72,36,36,24,8,4,16,8,36,8,4,4,12,8,4
,8,8,4,4,4,36,36,36,4,8,4,4,4,36,4,4,4,4,4,4,4],[32432400,151200,4320,6480,
113400,45360,3780,960,1680,288,432,48,324,108,48,420,36,5040,720,288,720,72,
840,288,24,108,48,24,108,60,36,36,12,12,12,12,540,24,12,180,72,72,84,108,12,36
,12,24,12,36,12,108,24,12,12,12,12,12,12,72,72,12,24,12,12,12,12,12,36,12,12,
12,12,12,12,12,12,12,12,12,12,12,12],[32432400,151200,1440,9360,113400,5040,
360,1680,288,288,48,48,792,108,1260,12,5040,240,432,720,72,24,24,72,144,192,36
,180,72,12,36,12,120,12,36,36,24,180,72,48,72,36,12,12,36,60,12,12,36,72,12,36
,24,12,12,12,12,12,12,24,24,24,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12
,12,12,12],[32432400,105840,2160,3600,113400,45360,480,1200,144,432,144,48,
1680,144,2520,360,144,720,72,480,144,48,48,144,120,24,48,48,72,24,540,24,12,72
,72,24,48,36,36,12,180,12,36,12,48,48,24,24,24,12,36,36,12,12,12,24,36,12,12,
12,12,12,12,12,12,24,12,12,12,12,12,12,12,12],[32432400,196560,720,3600,113400
,12600,1680,144,336,360,2520,120,7560,120,144,720,72,720,144,48,144,120,480,
120,48,48,36,36,24,540,72,48,24,72,36,12,180,12,12,36,48,120,48,48,12,36,36,12
,24,12,12,12,12,12,36,12,12,12,12,12,48,12,12,12,12,12,12,12,12],[32432400,
241920,3600,453600,45360,15120,360,720,72,36,2940,108,20160,288,720,120,720,12
,2520,240,72,24,12,120,24,12,45360,720,48,48,24,12,120,12,12,12,12,2520,72,120
,48,12,120,12,12,12],[32432400,60480,6480,3780,1260,720,720,240,108,36,3780,84
,360,24,36,240,12,12,120,48,24,24,240,12,12,1260,36,12,12,240,12,12,12,12,12,
12,120,24,12,12,12,12,12,12,12],[32432400,60480,2880,3600,3780,1260,240,240,
192,108,36,16,1260,156,72,24,36,12,16,12,24,24,24,8,8,120,12,12,8,1260,12,4,12
,12,8,4,4,4,12,4,24,24,12,4,4,4,4,12,4],[32432400,60480,2880,3600,3780,1260,
240,240,192,108,36,16,2940,108,360,72,36,12,16,12,120,24,24,24,8,120,12,12,8,
1260,36,12,12,8,4,4,4,12,4,12,120,24,12,12,4,12,4,4,4],[32432400,60480,6480,
3780,1260,720,720,240,108,36,420,180,48,36,240,12,12,24,48,8,24,12,12,16,1260,
12,4,12,16,4,12,12,4,4,4,48,12,4,4,4,12,4,4],[32432400,60480,6480,453600,45360
,360,240,96,216,36,420,180,576,720,120,16,12,144,24,16,12,24,12,8,45360,48,16,
48,8,4,12,8,4,12,4,144,120,8,4,8,12,12,4],[32432400,45360,720,6000,453600,
45360,48,48,32,144,72,144,40,8,576,96,48,8,144,12,8,4,8,8,8,45360,16,16,4,8,4,
8,4,144,48,8,4,8,8,4],[32432400,60480,2880,3600,162,1260,240,240,192,108,36,16
,1260,156,12,6,54,12,16,12,24,24,24,8,8,120,12,12,8,18,6,6,6,12,8,4,4,4,12,4,4
,2,6,2,4,2,2,6,2],[32432400,60480,6480,3780,45360,360,240,96,216,36,420,180,48
,36,120,16,12,144,24,16,12,24,12,8,270,12,4,12,8,4,12,8,4,12,4,8,6,4,4,2,2,6,2
],[32432400,90720,4320,3600,113400,45360,1260,480,720,288,432,48,108,36,48,
1260,108,720,72,1080,216,360,288,24,36,48,24,36,60,36,36,12,12,36,36,540,36,
108,72,36,36,72,12,108,12,24,180,12,36,24,12,12,12,12,36,36,12,12,12,12,36,36,
36,72,12,24,12,12,12,12,36,12,12,12,12,12,12,12],[32432400,181440,6480,113400,
90720,3780,720,1440,2160,324,108,1260,108,5040,216,1080,216,1440,720,108,108,
1260,108,36,36,36,36,36,1080,72,72,72,180,72,72,36,12,12,180,12,720,108,36,36,
36,36,36,180,12,12,12,12,72,72,72,12,12,12,12,12,36,72,12,12,12,12,12,12,12],[
32432400,151200,1440,5520,113400,12600,360,1200,288,48,48,336,108,1260,108,240
,216,1800,120,1200,24,24,72,120,36,180,72,36,12,12,36,24,360,120,120,72,36,12,
12,24,12,180,12,120,12,36,24,12,12,12,12,12,12,36,12,120,120,12,12,24,12,12,12
,12,120,12,12,12,12,12,12,12],[32432400,181440,6480,113400,45360,5040,360,2160
,288,648,36,1260,108,5040,216,1080,216,360,144,216,36,1260,108,36,36,24,36,24,
540,36,108,72,36,36,180,48,72,36,36,180,12,36,72,36,24,12,12,12,180,12,12,12,
12,36,36,36,24,24,12,12,12,12,12,36,12,12,12,12,12,12,12],[32432400,181440,
2640,3780,45360,12600,360,1680,192,36,1260,12,120,108,360,1200,144,36,1260,120
,12,12,12,120,12,1260,108,12,12,120,36,120,12,12,12,12,120,36,12,12,36,12,12,
12],[32432400,120960,3600,453600,90720,1260,720,960,1200,108,36,420,36,3600,
960,720,36,36,420,36,12,12,12,12,12,45360,2160,144,48,720,36,12,12,12,12,12,
600,48,12,360,36,12,12],[32432400,45360,3600,1200,453600,45360,240,240,240,144
,48,40,8,480,240,48,48,40,8,8,8,8,8,8,45360,96,16,48,8,8,8,8,240,16,8,48,8,8],
[32432400,120960,3600,3780,90720,1260,720,960,1200,108,36,420,36,180,960,720,
36,36,420,36,12,12,12,12,12,270,108,36,12,720,36,12,12,12,12,12,30,12,12,18,18
,6,6],[32432400,181440,2640,162,45360,12600,360,1680,192,36,1260,12,162,6,360,
1200,144,36,1260,120,12,12,12,120,12,18,162,6,6,120,36,120,12,12,12,12,18,6,6,
12,18,6,6,6],[32432400,151200,480,2640,3780,12600,120,1200,96,16,16,192,36,420
,36,120,36,24,1200,8,8,24,120,12,60,24,12,4,4,12,8,1260,12,4,12,120,4,12,8,4,4
,4,120,24,12,4,4,12,4,4,4],[32432400,90720,480,3600,3780,2520,120,720,96,96,16
,16,288,36,1260,12,108,24,8,8,24,48,72,12,60,24,4,12,4,120,12,1260,36,4,12,24,
4,12,8,4,4,12,24,36,4,4,12,4,12,4],[32432400,120960,3600,3780,45360,2520,360,
1200,96,288,36,420,36,180,360,48,96,36,420,36,12,12,8,12,8,1260,108,36,12,36,
24,12,8,4,4,4,60,12,4,36,12,4,4],[32432400,90720,1440,2640,453600,45360,1260,
400,720,96,144,16,108,36,16,420,36,2160,192,360,96,8,36,16,8,36,20,12,12,4,4,
12,12,45360,144,16,48,36,8,4,4,4,4,12,360,96,8,4,36,8,12,4],[32432400,75600,
2160,2160,453600,45360,120,240,560,48,240,144,16,72,24,40,8,1440,288,240,144,
16,16,24,48,24,20,4,4,4,4,4,8,8,45360,48,32,16,24,16,4,4,4,4,8,240,144,8,4,24,
16,8,4],[32432400,90720,1200,113400,5040,240,160,240,400,1080,120,240,80,80,80
,160,144,24,24,16,40,80,80,24,8,8,8,16,80,8,8,8],[32432400,30240,2160,113400,
960,160,80,1680,240,360,216,840,80,80,40,80,120,96,8,16,48,24,80,40,40,84,8,8,
4,8,12,40,4,8,4,4],[32432400,90720,1200,113400,5040,240,160,240,96,80,1080,120
,240,80,80,80,16,144,24,24,16,96,8,16,80,24,8,8,8,16,8,8,16,8],[32432400,
136080,720,4560,113400,5040,1680,144,336,432,192,2520,120,216,1080,24,240,144,
48,144,144,16,32,32,144,24,24,72,24,72,48,16,48,48,32,16,16,24,48,24,24,24,16,
8,8,8,16,24,8,8,8,8,8],[32432400,75600,3600,2640,113400,240,160,560,48,336,192
,64,48,1680,144,2520,600,72,360,120,32,80,48,48,16,16,16,80,48,48,16,24,8,16,
120,24,8,24,48,16,24,16,48,16,80,16,16,16,8,16,8,24,8,8,8,16,8,8,8,16,8,8,8,8,
8,8],[32432400,105840,2160,3600,113400,45360,480,1200,144,432,144,48,840,72,80
,16,2520,360,144,720,72,480,144,48,48,144,80,40,16,16,16,24,24,8,540,24,12,72,
72,24,48,36,36,12,8,8,24,8,48,40,8,8,8,16,8,12,36,36,12,12,12,24,8,8,8,4,8,4,8
,4,8,12,4,4,8,4,4,4,4],[32432400,196560,720,3600,113400,12600,1680,144,336,360
,96,80,16,7560,120,144,720,72,720,144,48,144,120,80,16,16,16,8,16,16,36,36,24,
540,72,48,24,72,36,12,8,8,24,8,48,16,8,16,8,12,36,36,12,24,12,12,8,8,8,4,8,4,8
,4,8,12,4,4,8,4,4,4,4],[32432400,75600,720,5520,113400,320,560,240,144,32,240,
120,840,168,2520,120,216,360,120,48,32,16,32,48,40,40,8,16,24,24,24,24,8,12,8,
24,24,40,24,24,8,24,8,12,16,24,24,16,16,8,8,8,4,12,8,4,4,8,8,4,4,8,8,4,4,4,4,4
,4,8,4,4,4,4,4,4,4,4],[32432400,75600,3600,2640,113400,240,160,560,48,336,192,
64,48,160,32,2520,600,72,360,120,32,80,48,48,16,16,16,80,32,16,16,24,8,16,120,
24,8,24,48,16,24,16,16,16,40,8,8,16,8,16,8,24,8,8,8,16,8,8,8,8,8,4,4,8,4,4],[
32432400,90720,5760,1200,113400,5040,240,160,240,384,96,80,32,960,1080,120,240
,80,48,32,80,16,16,32,16,80,32,16,16,144,24,24,16,96,48,16,8,80,32,16,16,16,16
,16,8,24,8,24,16,8,8,8,16,8,8,8,16,8,16,8,8,8,8,8],[32432400,30240,2880,5040,
113400,960,160,80,96,64,144,48,80,32,480,144,360,216,840,80,16,24,16,80,40,16,
24,8,8,16,40,16,16,24,8,96,8,16,16,16,16,24,16,8,40,16,8,8,16,8,16,8,8,4,12,8,
84,8,8,12,8,8,4,8,4,4,8,12,4,8,8,4,4,8,4,8,4,8,4,4,4],[32432400,30240,2880,
8880,113400,480,80,96,192,288,72,16,840,24,80,480,432,360,24,16,16,24,48,48,16
,24,16,8,80,8,8,16,48,48,32,8,8,24,24,8,24,16,8,8,8,8,8,8,16,16,8,8,8,8,8,8,8,
8,8,8,8,8,8],[32432400,90720,1200,113400,5040,240,160,240,80,1080,120,240,80,
80,80,8,144,24,24,16,8,80,8,24,8,8,8,8,8,8,8,8],[32432400,75600,720,1680,
453600,45360,240,560,48,144,48,16,2520,72,240,16,1440,96,240,48,16,16,48,240,
120,16,16,16,24,24,8,45360,32,720,16,16,120,8,8,8,16,8,240,48,16,8,16,120,8,8]
,[32432400,75600,720,1680,453600,45360,240,560,48,144,48,16,144,32,1440,96,240
,48,16,16,48,32,8,24,16,16,16,45360,32,32,16,16,8,16,8,240,48,16,8,16,16,8],[
32432400,105840,240,1680,3780,5040,720,48,112,144,144,240,16,60,36,12,240,48,
16,48,48,240,16,16,16,8,24,16,1260,4,36,4,16,24,8,16,8,60,12,12,4,8,4,12,4,4],
[32432400,90720,1200,113400,5040,240,160,240,80,1080,120,240,80,80,80,24,144,
24,24,16,8,80,24,24,8,8,8,8,24,8,8,8],[32432400,272160,2880,3120,113400,27720,
3120,192,360,16,48,16,10080,480,144,1080,24,3120,360,16,48,16,8,16,8,144,24,
1080,144,48,24,24,8,8,48,360,8,8,16,8,8,24,144,8,24,24,48,8,8,8,8,24,8,8,8,8,8
],[32432400,30240,2880,6960,113400,240,400,80,288,192,96,96,144,32,1680,16,480
,288,360,120,64,16,80,16,32,16,48,48,16,80,16,24,8,16,48,48,24,24,24,16,16,8,
48,16,80,16,16,16,8,8,16,8,8,16,8,16,8,8,8,16,8,8,8,8,8,8],[32432400,60480,
1440,7920,113400,1260,600,240,288,48,48,324,144,96,80,240,360,720,72,24,24,72,
12,48,24,16,24,4,80,4,8,36,36,24,72,60,12,12,32,16,8,24,8,12,4,8,4,24,4,4,8,4,
12,12,12,24,16,8,4,8,4,8,4,4,12,4,4,8,4,4,4,4],[32432400,120960,1440,6960,
113400,3780,440,560,288,48,48,348,120,840,24,16,5040,240,288,360,120,24,24,72,
36,40,120,24,8,4,8,40,16,4,24,8,12,8,180,96,24,24,36,12,12,36,12,12,8,24,24,12
,4,8,4,8,4,12,4,4,4,8,8,4,24,4,4,4,24,8,4,4,8,4,4,4,4,4,4,4,4,4,4,4],[32432400
,60480,4320,5040,113400,45360,240,240,96,288,432,48,144,48,840,72,80,720,216,
720,72,120,288,24,16,48,24,72,24,24,8,16,80,40,8,540,24,12,72,16,12,108,12,16,
24,8,24,8,24,40,8,8,16,8,8,4,8,12,72,12,8,24,12,8,8,4,4,8,4,8,12,4,4,8,4,4,4,4
],[32432400,151200,2880,5040,113400,5040,1680,288,192,576,16,96,80,5040,480,
216,720,72,144,192,16,48,16,8,80,16,36,36,24,180,48,72,48,36,36,8,8,24,8,72,16
,8,16,8,8,4,12,24,24,8,12,12,24,4,8,4,8,4,8,12,4,4,8,4,4,4,4],[32432400,30240,
5760,4080,113400,240,400,80,192,192,96,96,80,160,16,960,144,360,120,64,16,80,
24,32,16,32,8,16,8,80,8,24,8,16,48,32,24,24,24,40,8,16,16,40,8,8,16,4,4,8,16,8
,12,16,8,16,8,4,8,8,8,4,4,8,4,4],[32432400,151200,7920,113400,45360,3780,1080,
1680,396,144,840,72,80,5040,360,720,72,840,108,120,120,72,24,12,24,80,40,12,
540,24,12,180,72,96,36,20,16,8,24,8,108,40,12,12,24,12,12,8,4,12,72,12,16,12,
24,4,8,4,8,4,12,12,4,4,8,4,4,4,4],[32432400,90720,2880,4080,113400,5040,240,
400,240,192,192,96,96,32,144,80,480,144,1080,120,240,64,16,80,32,16,48,48,80,
80,16,144,24,24,16,48,32,24,24,24,16,16,8,16,16,16,80,16,16,8,24,8,16,8,16,8,8
,8,8,16,8,8,8,8,8,8],[32432400,60480,1440,6000,113400,1260,440,240,288,48,48,
276,120,840,72,16,240,216,720,168,24,24,72,12,40,40,8,8,4,8,40,16,12,36,60,24,
12,8,72,36,12,12,24,12,8,8,24,12,12,8,4,8,4,4,8,4,4,12,4,12,12,24,12,8,4,8,4,4
,4,12,4,4,4,4,4,4,4],[32432400,120960,4320,2160,113400,45360,5040,240,400,288,
432,48,48,840,72,16,720,72,1440,72,120,240,288,24,48,24,840,40,24,24,16,40,16,
8,540,144,40,12,72,12,108,12,24,8,8,24,24,8,8,8,40,16,8,8,4,8,24,12,72,12,24,
12,24,4,8,4,4,8,12,4,8,4,4,4,4,4],[32432400,151200,6000,113400,45360,3780,920,
1680,348,120,96,16,5040,216,720,168,840,108,112,24,24,8,4,8,16,4,8,540,24,24,
12,20,180,72,72,36,12,12,8,8,24,108,8,4,4,4,8,4,4,8,4,12,4,72,12,12,12,24,4,8,
4,4,4,12,4,4,4,4,4,4,4],[32432400,120960,1440,5040,113400,3780,280,560,288,48,
48,300,96,144,80,5040,240,144,360,216,24,24,72,36,32,24,16,8,4,80,12,8,48,8,24
,16,180,96,24,24,12,12,12,36,4,8,16,8,12,12,8,4,8,4,4,8,4,8,4,8,4,8,8,4,24,4,4
,8,4,4,8,4,4,4,4,4,8,4,4,4],[32432400,151200,6000,113400,5040,240,160,1680,288
,576,96,16,5040,216,720,168,80,144,192,32,16,16,16,16,36,24,36,24,16,180,48,72
,36,36,8,8,24,72,8,8,16,16,8,8,4,12,8,24,24,12,12,8,4,8,4,4,8,12,4,8,4,4,4,4,4
],[32432400,272160,4080,113400,27720,240,160,3120,360,144,80,10080,144,1080,
120,3120,80,360,48,80,24,80,24,144,24,24,16,1080,144,24,24,16,8,360,24,24,80,
24,16,8,24,8,144,24,24,8,8,8,24,24,8,8,8,8,8],[32432400,30240,2880,5040,113400
,960,400,80,192,192,96,96,32,80,32,480,144,360,216,840,64,16,80,32,16,80,40,16
,16,40,16,96,8,16,48,32,24,24,24,16,16,8,16,8,8,40,16,8,8,84,8,16,8,16,8,8,4,8
,4,8,8,4,8,4,4,4],[32432400,90720,1200,113400,5040,240,160,240,288,80,1080,120
,240,80,80,80,48,144,24,24,16,32,8,48,80,24,8,8,16,8,24,16,8,8],[32432400,
90720,1200,113400,5040,240,160,240,80,64,1080,120,240,80,80,80,32,144,24,24,16
,32,8,16,80,24,8,8,16,8,16,8,8,8],[32432400,30240,2160,113400,960,160,80,144,
80,32,360,216,840,80,80,40,40,16,16,96,8,16,16,16,8,16,8,40,84,8,8,4,8,8,4,8,8
,4,4,4],[32432400,136080,3600,5520,113400,5040,240,160,1680,144,528,192,64,432
,48,80,16,2520,600,216,1080,120,240,32,80,144,48,144,144,48,16,16,16,80,16,16,
16,80,16,16,16,144,24,24,16,120,72,24,72,48,16,48,24,8,8,48,16,80,16,16,16,16,
16,16,8,8,24,8,16,48,24,24,24,8,8,8,24,8,8,8,8,8,8,16,24,8,8,8,8,8,8,8,8,8],[
32432400,75600,720,9360,113400,640,560,432,144,64,480,240,80,16,2520,120,360,
360,216,96,64,32,64,48,80,32,16,80,16,16,16,48,8,24,16,24,24,72,24,48,16,48,16
,24,8,8,32,32,16,16,16,16,8,8,24,16,8,8,8,16,8,8,8,8,8,8,8,8,16,8,8,8,8,8,8,8,
8],[32432400,60480,2880,7440,113400,1260,240,640,240,192,384,96,128,252,108,32
,1260,60,480,288,720,168,64,32,24,80,72,12,32,16,36,60,24,8,12,12,12,16,4,8,4,
12,24,36,24,36,24,16,96,32,48,24,32,24,16,12,180,4,24,12,16,12,4,8,4,4,4,4,8,4
,12,4,4,12,8,4,12,8,16,16,12,24,16,8,12,8,4,24,4,8,4,4,4,4,8,12,8,4,4,4,4,4,4,
4,4,4],[32432400,105840,2160,7440,113400,45360,800,1200,336,432,144,80,240,120
,96,2520,360,288,720,168,480,144,48,80,48,16,32,144,40,96,16,16,8,8,16,16,540,
24,24,12,20,72,72,56,48,60,36,20,24,8,12,8,24,48,16,16,8,8,8,8,16,8,8,8,4,4,12
,4,36,36,12,20,12,12,4,4,24,8,4,4,24,4,8,4,8,4,4,4,8,12,4,8,4,4,4,4,4,4,4,4,4]
,[32432400,196560,3600,4560,113400,12600,240,160,1680,144,528,192,64,360,48,96
,7560,600,144,720,168,720,32,80,144,48,144,120,48,16,16,16,32,48,16,8,8,16,16,
36,24,36,24,16,540,168,48,24,72,48,16,36,12,24,8,24,48,16,16,8,8,8,16,8,8,8,4,
4,12,8,16,36,36,12,24,12,24,8,8,8,12,8,4,8,4,24,4,4,4,8,12,8,8,4,4,4,4,4,4,4,4
,4],[32432400,75600,3600,6480,113400,240,480,560,240,336,192,96,240,120,48,
1680,48,2520,600,216,360,216,48,32,32,16,80,32,48,48,16,16,16,40,32,48,16,8,
120,16,24,8,24,24,8,12,24,120,24,40,24,24,48,24,24,8,24,12,180,4,12,12,16,16,
16,8,8,8,16,8,24,8,4,4,8,4,12,8,16,4,4,8,8,24,8,8,8,4,4,8,4,12,4,4,12,8,4,4,4,
8,8,4,8,4,4,4,4,4,4,4,4,4],[32432400,151200,4320,4560,113400,45360,3780,320,
720,480,432,80,276,84,48,1260,60,5040,720,144,720,168,120,288,40,24,72,36,48,
24,28,1260,60,12,12,24,24,4,8,8,4,12,24,540,24,24,12,20,180,96,72,24,12,108,20
,36,4,24,8,180,4,24,12,24,4,4,4,8,4,4,12,24,4,180,24,4,4,4,4,12,4,72,12,8,8,4,
24,24,12,4,4,24,4,24,4,24,4,4,4,4,12,4,24,4,4,4,4,4,4,4,4,4],[32432400,90720,
4320,5520,113400,45360,1260,480,400,480,432,80,252,108,48,420,84,720,216,1080,
120,120,288,40,24,72,12,48,24,36,420,84,4,4,24,24,12,8,8,12,4,24,540,36,36,40,
12,120,36,108,20,24,24,12,8,12,12,12,24,12,4,4,8,4,4,4,24,4,8,8,4,4,12,12,72,
20,12,24,24,12,12,12,12,4,4,8,4,8,4,4,4,4,12,12,8,4,4,4,4,4,4,4,4,4],[32432400
,120960,2880,6480,113400,3780,240,480,560,192,384,96,128,276,84,32,420,84,5040
,480,216,360,216,64,32,24,80,72,36,32,16,28,60,8,24,12,12,12,16,4,8,12,4,24,24
,24,8,12,24,180,96,48,32,24,24,24,32,36,4,16,8,8,12,12,12,16,4,12,8,4,4,4,4,8,
4,8,8,4,4,8,4,16,8,8,8,4,24,16,8,4,4,8,4,8,4,12,12,4,4,4,4,4,8,4,8,4,4,4,4,4,4
,4,4,4],[32432400,272160,1440,5520,113400,27720,200,3120,288,48,48,528,84,420,
84,10080,240,216,1080,120,3120,24,24,72,360,28,100,56,36,12,12,28,24,144,24,24
,12,8,1080,96,24,144,12,12,12,48,24,8,8,12,12,360,12,28,24,12,12,12,8,4,8,4,24
,4,4,8,8,4,144,24,24,24,4,8,4,8,4,12,12,4,4,4,4,12,24,4,8,4,4,4,4,4,4,4,4,4],[
32432400,136080,720,8400,113400,5040,320,1680,336,336,32,672,120,1680,48,2520,
120,360,1080,120,240,48,32,16,144,80,144,144,40,160,48,32,16,120,16,24,8,144,
24,24,12,8,24,72,56,72,24,8,24,56,12,180,4,12,12,48,16,16,24,8,8,16,8,4,24,8,4
,24,4,12,8,4,4,48,24,24,8,24,4,4,8,4,12,4,4,12,8,4,4,4,8,24,4,8,4,4,4,4,4,4,4,
4,4],[32432400,181440,8400,113400,45360,5040,840,2800,288,792,108,420,84,5040,
360,1080,120,840,144,264,108,420,84,28,28,24,28,24,540,36,36,40,12,180,48,120,
72,60,44,12,8,12,12,108,72,28,24,12,12,12,8,4,8,4,12,12,72,24,24,12,20,12,12,
12,12,4,4,8,4,8,4,4,4,12,12,12,8,4,4,4,4,4,4,4,4,4],[32432400,226800,2160,5520
,113400,45360,12600,480,2320,240,624,144,48,360,1680,48,7560,360,216,1080,120,
480,720,144,48,48,144,48,240,120,1680,120,48,16,16,24,24,8,120,16,24,8,540,36,
36,40,12,540,120,96,40,96,36,36,12,36,12,180,4,12,12,48,48,120,16,24,8,8,8,8,8
,8,180,12,4,4,12,4,4,4,12,12,36,36,12,12,12,36,36,12,40,12,12,12,12,4,4,12,4,4
,12,12,12,4,4,4,4,8,12,12,12,4,4,4,4,4,4,12,4,4,4,4,4,4],[32432400,196560,720,
7440,113400,12600,320,1680,336,336,32,600,120,840,72,7560,120,288,720,168,720,
48,32,16,144,80,144,120,40,160,32,48,16,40,24,24,8,36,60,24,12,8,540,72,48,56,
72,24,8,60,20,12,8,24,48,16,24,16,8,8,16,8,8,4,8,4,12,4,12,8,4,4,36,36,12,24,
20,12,4,4,8,4,8,4,24,4,4,4,8,12,4,8,4,4,4,4,4,4,4,4,4],[32432400,151200,1440,
7440,113400,5040,200,1680,288,288,48,48,744,84,2100,36,5040,240,288,720,168,24
,24,72,144,192,28,100,56,12,36,12,280,36,36,60,24,12,8,180,96,24,48,72,12,12,
12,60,36,8,180,4,24,72,12,28,24,12,12,36,12,4,4,4,12,8,12,4,4,8,8,4,24,24,24,
12,12,4,8,4,24,4,8,4,4,4,12,12,4,8,4,4,4,4,4,4,4,4,4],[32432400,166320,2160,
6480,113400,45360,5040,480,2320,240,624,144,48,432,840,72,2520,360,288,1440,72
,480,240,144,48,48,144,48,240,144,840,40,72,24,24,24,24,8,40,24,24,8,540,144,
40,12,72,120,40,96,36,36,12,48,8,24,48,48,40,24,24,8,8,8,8,8,8,8,4,8,4,24,12,
36,36,12,12,12,48,40,24,24,24,4,8,4,8,4,4,4,8,24,12,8,4,4,4,4,4,4,4,4,4],[
32432400,302400,6480,113400,45360,27720,840,4240,576,108,2100,36,10080,288,
1440,72,840,3120,432,108,2100,280,36,36,36,280,36,540,144,40,12,1080,192,72,48
,32,12,180,4,24,360,108,280,36,36,36,36,180,24,4,4,4,4,24,12,72,144,24,32,12,
12,24,4,24,4,24,4,4,4,36,24,12,24,4,4,4,4,4,4,4,4,4],[32432400,75600,6480,3600
,113400,960,160,560,48,528,192,64,192,80,16,2520,1080,72,360,216,840,32,80,48,
168,192,16,16,16,80,40,16,16,8,8,8,40,16,8,8,96,8,16,216,24,8,24,48,16,96,8,8,
168,16,40,8,8,16,8,8,8,8,8,4,4,8,84,8,16,8,84,96,8,8,8,8,4,8,4,8,4,4,4,8,84,8,
8,4,4,4,4,4,4,4,4,4],[32432400,120960,2880,6480,945,45360,1260,720,1200,320,
336,80,252,108,48,420,84,315,135,27,15,45,45,9,360,192,40,24,48,36,48,24,36,
420,84,12,12,16,16,12,8,8,12,12,16,27,9,9,5,3,45,27,9,9,3,15,9,5,5,9,15,3,9,1,
3,3,12,24,12,4,4,8,4,4,12,16,4,9,3,3,1,1,1,1,1,3,3,9,3,5,3,9,9,3,3,3,3,9,3,3,1
,1,3,1,3,1,3,1,3,1,1,1,4,3,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1],[32432400,75600,720,
1680,113400,560,48,144,3360,96,80,16,2520,120,72,360,24,48,80,240,16,16,16,32,
48,16,8,24,24,8,24,360,8,8,24,24,8,16,16,32,16,8,24,8,8,24,8,8,8,8,8,8,16,8,8,
8,8,8,8],[32432400,75600,720,1680,113400,560,48,144,2520,216,2520,120,72,360,
24,48,160,8,16,40,48,32,8,24,24,8,24,180,20,36,36,8,16,16,8,8,12,12,12,12,4,4,
4,4,4,4,4,4,8,4,4,4,4,4,4,4,4],[32432400,30240,2880,5040,113400,160,80,96,192,
192,24,16,2520,72,80,480,144,360,216,16,16,8,48,48,16,8,16,8,80,24,48,8,24,16,
16,48,16,8,360,8,8,8,16,8,8,24,48,8,16,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8],[
32432400,30240,7920,113400,240,480,80,96,240,48,1680,48,16,288,360,216,80,16,
16,80,16,16,16,8,16,16,24,24,8,12,24,16,24,24,4,180,4,8,12,12,16,16,8,8,8,4,16
,8,4,4,8,4,8,4,8,4,8,4,8,4,4,8,4,8,4,4,4,4,4,4],[32432400,90720,2880,4080,
113400,5040,320,240,192,96,48,16,1680,48,16,480,144,1080,120,240,16,16,160,32,
48,16,8,8,16,16,144,24,24,12,8,24,48,8,8,4,180,4,8,12,12,16,8,8,16,8,24,24,4,8
,4,4,24,4,8,4,8,4,8,4,8,4,4,8,4,8,4,4,4,4,4,4],[32432400,90720,6960,113400,
5040,240,640,240,144,72,2520,72,80,288,1080,120,240,80,24,240,48,48,80,24,24,
80,24,144,24,24,16,48,16,8,360,8,8,80,24,24,24,24,48,16,8,8,24,8,8,8,8,8,8,24,
8,8,8,8,8,8],[32432400,90720,3120,113400,5040,240,320,240,48,24,840,24,80,1080
,312,240,80,8,80,16,16,80,8,8,80,8,144,24,48,24,24,32,24,24,8,80,8,8,8,8,24,8,
8,16,16,8,8,8,8,8,8,8,8,8,8,8,8,8],[32432400,45360,720,240,648,45360,48,48,120
,24,12,48,120,24,24,24,24,24,54,24,24,24,6,6,6,24,6],[32432400,45360,720,240,
648,45360,48,48,120,24,12,48,120,24,24,24,24,24,54,24,24,24,6,6,6,24,6],[
32432400,45360,720,240,3780,45360,48,48,120,24,60,108,36,48,120,24,24,24,24,24
,108,12,12,24,24,24,12,30,24,6,6],[32432400,120960,1680,113400,45360,5040,200,
400,24,12,1260,60,1440,168,120,240,4,840,80,24,8,4,40,16,12,540,144,24,40,12,
20,60,36,8,4,40,4,4,12,4,24,12,4,24,24,8,8,4,4,16,12,4,12,4,4,4,8,4,4,4],[
32432400,60480,2640,113400,1260,240,240,240,60,12,2100,36,720,264,80,12,4,40,
16,8,8,160,4,12,36,24,60,24,12,24,36,60,80,4,4,4,4,12,4,12,8,4,8,16,4,8,16,4,
12,4,12,4,4,4,4,8,4,4],[32432400,120960,1440,3120,113400,3780,120,560,96,48,16
,108,840,168,80,5040,240,144,360,24,8,36,60,12,12,4,80,8,12,32,24,24,8,180,24,
24,12,12,4,12,4,16,24,24,8,12,8,4,4,12,8,4,4,4,8,8,4,4,12,12,4,4,4,4,8,8,4,4,8
,4,4,4,4,4,4],[32432400,120960,1440,3120,113400,3780,120,560,96,48,16,108,2520
,72,16,5040,240,144,360,24,8,36,60,12,12,4,280,16,8,4,40,24,8,180,24,24,12,12,
4,12,4,180,4,8,36,36,8,4,4,36,4,4,8,4,4,24,24,4,4,12,12,4,4,8,4,4,4,4,4,4,4,4,
4,4,4,4,4],[32432400,90720,1200,113400,45360,1260,120,400,36,1680,48,80,1080,
120,120,12,420,12,4,4,80,120,12,24,540,36,36,40,12,48,48,8,40,4,4,12,12,8,4,12
,12,12,12,4,4,8,12,12,24,4,12,12,4,4,4,8,4,4],[32432400,90720,1200,113400,
45360,1260,120,400,36,1680,192,16,1080,120,120,12,420,12,4,4,16,36,64,24,540,
36,36,40,12,180,20,8,12,12,8,4,4,36,12,8,4,12,12,12,12,4,4,8,20,12,12,4,4,12,
12,4,4,4,4,4,4],[32432400,151200,2160,113400,45360,3780,120,720,108,1680,144,
16,5040,72,720,72,120,36,1260,36,12,12,16,12,48,24,540,24,12,180,24,12,4,180,
12,8,36,12,8,4,12,12,12,8,4,180,4,4,4,12,4,8,4,8,4,4,12,12,4,12,4,4,4,4,4,4,4]
,[32432400,60480,1440,2160,113400,1260,120,240,96,48,16,36,2520,120,16,240,72,
720,72,8,12,60,12,12,4,120,16,8,12,24,24,36,36,24,24,12,12,4,180,12,8,12,36,8,
4,4,12,4,12,8,12,4,4,12,12,4,8,4,8,4,4,12,12,4,12,4,4,4,4,4,4,4],[32432400,
60480,6480,113400,45360,360,240,96,216,36,420,180,288,720,72,120,16,12,144,24,
16,12,24,12,8,540,24,12,16,24,24,4,16,36,12,8,4,12,8,4,12,4,4,16,4,12,8,4,8,4,
4,4,12,12,4,12,4,4,4,4,4,4,4],[32432400,60480,2880,3600,113400,1260,240,240,
192,108,36,16,1260,156,480,144,720,72,12,16,12,24,24,24,8,8,120,12,12,8,36,36,
24,24,48,8,8,4,16,12,36,12,8,4,4,4,12,4,8,8,4,4,12,8,4,8,4,4,4,12,12,4,12,4,4,
4,4,4,4,4],[32432400,30240,1200,113400,240,80,2520,72,160,360,120,40,40,120,80
,80,24,12,24,8,360,8,16,40,24,12,4,4,12,8,8,8,4,12,8,4,4,4],[32432400,30240,
1440,5520,113400,200,80,96,96,48,16,168,12,2100,132,240,216,360,120,8,16,4,48,
24,16,4,40,8,16,12,24,24,8,12,8,24,16,12,12,4,16,180,12,24,24,4,8,4,8,4,4,12,8
,4,8,4,4,4,8,24,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4],[32432400,90720,1440,4560,
113400,5040,360,240,96,48,16,72,36,1260,156,240,216,1080,24,240,8,12,120,48,24
,8,4,8,8,12,24,8,144,24,24,36,12,4,8,4,180,12,48,8,4,4,12,8,4,4,8,24,8,24,4,4,
24,4,8,4,4,4,8,4,4,4,4,8,4,4,4,4],[32432400,120960,2880,2640,113400,3780,80,
560,192,132,12,16,2100,132,5040,480,72,360,120,36,16,4,24,24,24,8,8,280,4,36,8
,24,8,12,8,180,24,48,12,4,8,180,12,24,24,4,8,4,4,4,36,4,24,4,8,4,4,8,4,24,4,24
,4,4,4,4,4,4,4,4,4,4,4,4,4,4],[32432400,120960,5520,113400,3780,240,400,560,
180,36,2940,108,5040,216,360,120,80,36,12,120,48,24,24,320,12,36,24,8,16,180,
24,24,12,12,4,180,12,48,80,12,12,12,12,36,12,8,8,8,8,4,4,24,4,24,4,4,4,8,12,4,
4,4,8,4,4,4,4],[32432400,30240,2880,240,113400,80,16,840,24,80,16,480,360,24,8
,8,8,80,8,8,12,8,8,8,24,24,8,8,8,12,4,4,4,8,8,4,4,4,8,4,4,4],[32432400,30240,
2880,2160,113400,160,80,48,24,16,80,16,480,360,216,8,8,8,8,8,80,8,12,48,8,24,
16,8,8,8,8,8,12,4,4,4,8,8,4,4,8,4,4,4,8,4,4,4,4,4],[32432400,75600,3600,2640,
113400,240,560,48,336,48,160,32,2520,600,72,360,120,48,48,40,40,8,8,8,8,8,120,
24,80,80,16,16,32,16,16,24,8,120,24,8,24,24,16,16,8,8,40,8,8,8,8,8,16,16,24,4,
4,4,8,24,4,4,16,8,8,4,4,12,8,8,8,8,12,8,12,4,4,8,8,4,4,4,4,4,4,4],[32432400,
30240,3120,113400,240,160,80,48,24,160,360,312,8,40,40,8,120,80,80,4,24,48,8,
24,16,16,8,40,4,4,4,8,4,4,8,12,8,8,4,4,8,4,4,4,4,4],[32432400,60480,4560,
113400,1260,240,400,240,108,36,1260,204,144,720,168,80,12,12,24,32,8,16,4,36,
32,36,24,36,24,16,24,8,4,180,20,24,16,4,12,4,4,12,4,8,8,4,4,12,8,4,8,4,12,16,4
,4,12,8,4,4,4,4,4,4],[32432400,60480,2880,1680,113400,1260,80,240,192,60,12,16
,2100,180,480,720,168,12,16,4,40,8,24,24,8,40,12,36,24,36,60,24,12,8,48,8,180,
20,24,8,4,4,4,4,12,12,24,8,8,12,4,8,8,4,12,12,4,4,4,12,4,4,4,4,4,4,4],[
32432400,60480,4560,113400,45360,200,240,96,168,12,1260,204,144,720,168,120,16
,4,96,24,16,4,40,36,8,540,24,24,12,20,16,16,180,20,24,8,4,4,8,4,36,4,8,8,8,12,
4,8,24,4,12,4,12,4,4,12,4,4,4,4,4,4,4],[32432400,120960,3600,113400,45360,5040
,360,400,72,36,2100,180,144,1440,72,120,240,12,840,160,72,24,12,40,48,36,540,
144,40,12,24,8,4,180,20,24,24,12,40,12,12,36,12,24,8,4,4,24,12,4,24,4,12,16,4,
12,12,8,4,4,4,4,4,4],[32432400,45360,720,240,453600,45360,48,48,40,8,96,48,8,8
,12,4,45360,16,8,4,4,48,8,4,8,4],[32432400,30240,1440,7440,113400,360,80,96,96
,48,16,216,36,1260,108,240,360,360,24,8,16,12,48,24,16,4,40,8,16,4,24,8,24,16,
36,12,4,24,4,8,36,36,12,8,4,8,4,4,4,4,8,4,8,4,16,8,4,8,4,4,4,4,4,4,4,4,4,4,4,4
,4],[32432400,120960,2880,4560,113400,3780,240,560,192,180,36,16,1260,108,5040
,480,216,360,24,36,16,12,120,24,24,24,8,40,4,28,24,8,180,24,24,48,12,12,8,4,8,
36,36,8,4,4,4,12,12,4,8,4,4,8,4,24,24,8,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4],[
32432400,30240,2880,6000,113400,480,80,144,72,16,80,16,480,288,360,24,24,8,24,
8,8,80,8,4,8,48,16,8,8,8,8,24,8,4,4,4,4,8,4,4,8,8,4,4,4,8,4,4,4,4,4],[32432400
,120960,3600,113400,3780,240,240,560,132,12,420,228,5040,72,360,216,80,36,4,8,
48,8,16,12,28,32,24,24,8,12,24,180,24,12,4,24,12,12,16,4,4,12,4,12,4,4,16,4,8,
4,4,8,4,8,4,8,4,4,4,8,4,4,4,4,4,4,4],[32432400,90720,1440,2640,113400,5040,200
,240,96,48,16,24,12,420,228,240,72,1080,120,240,8,4,40,32,24,8,4,8,24,4,24,8,
144,24,24,12,8,24,12,12,4,24,12,12,24,4,4,4,8,4,4,8,8,4,4,24,4,4,8,4,8,4,4,8,4
,4,8,4,4,4,4,4,4,4],[32432400,60480,1440,2160,113400,1260,120,240,96,48,16,36,
2520,168,80,240,72,720,72,8,12,60,12,12,4,80,8,4,48,24,24,36,36,24,24,12,12,4,
360,16,24,8,4,8,4,4,12,24,4,12,4,4,12,12,4,24,4,16,12,8,4,4,12,8,4,4,4,4,4,4],
[32432400,151200,2160,113400,45360,3780,120,720,108,3360,144,80,5040,72,720,72
,120,36,1260,36,12,12,80,280,36,72,540,24,12,180,24,12,4,360,16,24,8,40,12,12,
36,36,24,12,180,4,4,4,12,4,24,4,16,12,8,4,12,12,8,4,4,4,4,4,4],[32432400,30240
,2880,1200,113400,240,160,80,48,1680,48,480,360,120,80,24,8,8,80,24,24,8,16,24
,24,48,80,8,8,4,4,8,12,12,8,8,4,4,8,4],[32432400,90720,2880,240,113400,5040,
240,192,16,192,16,480,1080,24,240,16,16,16,32,144,24,48,8,16,8,48,32,16,8,24,8
,8,8,8,8,8,8,8,4],[32432400,30240,4080,113400,240,160,80,96,144,160,48,144,360
,120,80,16,16,80,16,16,24,8,16,16,16,24,16,40,8,16,8,8,8,8,8,8,8,4,8,4,4],[
32432400,30240,2880,1200,113400,240,160,80,48,144,160,16,480,360,120,80,24,8,8
,80,16,8,24,8,16,24,16,8,16,40,16,8,4,4,8,12,4,8,8,8,8,4,4,4],[32432400,30240,
1200,113400,240,80,840,24,160,360,120,40,40,120,80,80,8,4,24,8,24,24,16,40,8,4
,4,4,12,8,8,8,4,4,8,4,4,4],[32432400,30240,2880,240,113400,80,16,2520,72,80,16
,480,360,24,8,8,8,80,24,8,4,8,8,360,8,8,8,8,24,4,4,4,4,8,8,4,4,4,8,4,4,4],[
32432400,30240,5760,4080,113400,240,80,96,192,64,144,96,160,16,960,144,360,120
,16,48,16,16,40,40,24,8,8,24,8,120,8,80,80,16,16,24,8,16,48,16,16,48,8,16,16,8
,16,8,8,40,16,8,8,4,4,4,8,24,8,8,4,4,8,8,12,12,12,8,8,4,8,4,4,4,8,8,8,4,4,4,4]
,[32432400,30240,6960,113400,240,480,80,144,72,160,288,360,120,24,40,40,24,120
,80,80,12,24,8,48,16,8,16,24,40,12,12,12,8,4,4,8,12,8,8,4,12,8,4,4,4,4,4],[
32432400,30240,2880,3120,113400,80,96,192,144,16,80,480,144,360,24,16,16,16,80
,16,8,16,48,16,8,8,16,16,8,8,8,8,4,4,8,8,4,4,4],[32432400,3600,324,720,16,120,
24,12,120,8,8,8,16,4,4,8,4,4,4,4,4,4],[32432400,2880,720,324,16,16,120,24,36,8
,8,24,8,8,12,4,8,4,4,4,4,4,4],[32432400,2880,720,324,16,16,120,24,36,8,8,24,8,
8,12,4,8,4,4,4,4,4,4],[32432400,2880,720,324,16,16,360,8,36,8,8,360,8,8,4,4,8,
4,4,4,4,4,4],[32432400,75600,720,1680,113400,560,48,144,80,16,2520,120,72,360,
24,48,80,16,16,16,16,8,24,24,8,24,8,8,16,16,8,8,8,8,8,8,8,4,4,8,8,4,4,4,4,4],[
32432400,960,3600,324,112,72,16,120,8,12,24,16,12,8,4,8,8,4,4,8,4,4,4,4,4],[
32432400,960,3600,324,112,72,16,120,8,12,24,16,12,8,4,8,8,4,4,8,4,4,4,4,4],[
32432400,45360,240,720,324,240,16,48,240,16,12,16,240,16,16,16,4,16,16,4,16,4,
4],[32432400,15120,240,6000,3780,16,32,144,72,120,8,360,24,60,36,12,8,12,4,120
,8,8,12,4,36,12,8,4,4,8,4,12,4,4,30,4,6,2,2],[32432400,45360,3600,5040,113400,
240,240,32,144,48,48,40,8,2520,600,144,216,8,48,40,8,8,8,4,8,8,24,12,120,8,24,
24,4,4,4,4,8,4,8,4,2,4,4,24,4,2,4,4,2,2,2,4,4,2,2,2,2,2,2,2],[32432400,2880,
5520,113400,240,120,16,120,8,480,216,120,48,8,8,8,4,120,8,8,8,12,40,8,12,4,12,
4,8,4,8,4,2,12,2,4,4,4,4,2,12,2,2,4,2,4,2,2,2,2,2,2],[32432400,6480,113400,240
,240,120,40,24,216,216,48,40,8,8,4,8,8,16,8,24,12,40,12,12,4,4,8,4,4,8,4,2,12,
4,2,4,2,8,4,2,2,4,2,4,2,2,2,2,2,2],[32432400,45360,720,4080,113400,48,32,144,
48,120,24,2520,120,144,120,8,8,4,120,24,24,8,12,24,8,24,4,12,12,4,24,4,8,4,2,4
,2,12,2,12,12,2,2,4,12,2,2,2,2,2,2,2],[32432400,15120,240,240,3780,16,144,120,
8,60,36,12,120,8,8,8,4,4,36,4,8,4,4,30,4,4,2,2],[32432400,45360,240,720,324,
240,16,48,144,12,16,8,24,16,4,8,4,8,2],[31135104,5760,960,8064,24,192,24,96,24
,24,24],[31135104,5760,64,8064,24,192,24,4,24,24,4],[31135104,5760,960,8064,24
,192,24,96,24,24,24,24],[31135104,145152,5760,1920,8064,24,8064,192,24,192,192
,24,24,24,24],[31135104,2304,5760,64,8064,24,192,4,24,4,4,24,24,4,4],[31135104
,72576,288,8064,24,4032,96,48,16,24,12,4],[31135104,72576,2016,8064,24,4032,96
,144,16,24,12,4],[29652480,6048,3840,144,48,144,4,4],[28828800,40320,302400,
5040,144,40320,1440,144,144,5040,144,144,1440,144,144,144,144,144,144,144,144,
144,144,144],[28828800,362880,302400,5040,144,30240,40320,5040,4320,5040,144,
144,4320,5040,720,144,144,720,144,144],[28828800,120960,3840,302400,5040,144,
960,13440,1680,240,192,48,1440,240,5040,144,144,240,96,1680,48,240,240,48,48,
48,144,240,48,48,48,48],[28828800,5760,302400,5040,144,144,576,48,576,5040,144
,144,48,48,144,48,144,24,48,24],[28828800,5760,5040,54,144,288,144,36,18,144,
36,18,18,36,18,18,18,18,18,18,18],[28828800,120960,3840,302400,5040,144,384,
13440,1680,640,48,16,1440,48,5040,144,144,96,48,1680,16,240,48,48,16,16,144,48
,16,48,16,16],[28828800,1920,3840,302400,5040,144,64,320,120,288,24,24,16,8,
192,120,24,5040,144,144,16,8,8,24,16,8,120,24,48,24,24,16,8,8,144,8,8,8,24,16,
8,8],[28828800,120960,3840,302400,5040,144,288,13440,1680,384,32,1440,384,5040
,144,144,96,32,1680,32,240,96,48,32,144,48,16,48,32,16],[28828800,120960,3840,
201600,2520,72,144,288,13440,1680,240,192,48,384,72,1680,48,24,36,12,72,96,
1680,48,48,24,24,12,12,12,48,24,12,12,12],[28828800,120960,3840,201600,2520,72
,144,384,13440,1680,96,24,72,48,1680,48,24,36,12,24,48,1680,24,48,24,12,12,12,
12,48,12,12,12,12],[28828800,3840,1920,302400,5040,144,64,640,192,48,16,16,192
,48,5040,144,144,32,8,16,16,48,48,16,16,16,144,8,8,16,16,8],[28828800,5760,
100800,144,144,144,192,48,4,8,192,12,48,36,12,16,4,48,2,6,12,4,2,12,4,2,12,2,2
],[28828800,120960,302400,5040,144,3360,13440,1680,1440,5040,144,144,96,1680,
240,48,144,1680,48,48],[28828800,120960,302400,5040,144,96,13440,1680,1440,
5040,144,144,96,1680,240,48,144,16,48,16],[28828800,120960,201600,2520,72,144,
3360,13440,1680,72,1680,48,24,36,12,24,1680,24,12,12,1680,12,12],[28828800,
1920,100800,144,144,320,48,192,48,36,12,32,48,12,12,16,12,4],[28828800,13440,
302400,5040,144,288,480,48,48,5040,144,144,96,48,48,48,48,48,144,48,48,48,48,
48],[28828800,40320,403200,576,144,40320,144,48,144,48,40320,144,144,48,48,144
,48,48,48],[28828800,40320,604800,15120,576,40320,960,48,15120,576,576,40320,
960,48,960,48,48,576,960,48,48,48,48,48],[28828800,40320,403200,2520,144,900,
40320,36,72,36,288,144,144,36,72,40320,36,72,36,72,36,36,36,36,36,36,72,36,36]
,[28828800,40320,504000,7560,288,360,40320,480,72,24,6720,120,96,144,48,40320,
480,72,24,480,72,24,24,48,480,72,24,24,24,24,24,24],[28828800,40320,201600,
5040,288,576,40320,960,48,1680,192,96,144,48,240,72,48,960,48,48,48,24,48,24,
24,48,24],[28828800,40320,12600,216,468,40320,36,72,468,144,72,720,54,36,36,72
,36,72,36,18,18,36,36,18],[28828800,40320,100800,7560,144,792,40320,480,72,24,
144,216,144,144,36,72,480,36,60,480,72,24,24,36,36,36,12,24,12,24,12,24,12],[
28828800,40320,201600,5040,288,576,1120,960,48,1680,192,96,144,48,1120,64,16,
64,16,48,48,64,16,16,16,16,16],[28828800,13440,11520,302400,5040,144,288,1728,
288,48,480,48,48,5040,144,144,96,48,48,288,48,48,48,48,48,144,48,48,48,48,48,
48],[28828800,40320,2520,360,40320,360,72,144,36,360,72,144,36,36,144,36,36,36
],[28828800,40320,2520,36,40320,36,72,36,18,36,72,36,18,18,36,18,18,18],[
28828800,40320,2520,648,36,40320,36,72,36,18,162,36,72,36,18,18,36,18],[
28828800,40320,432,576,40320,144,48,144,12,108,36,144,48,12,36,12,48,12],[
28828800,40320,432,576,40320,144,48,144,12,108,36,144,48,12,36,12,48,12],[
28828800,94080,302400,5040,144,3360,4480,2400,48,144,5040,144,144,192,48,160,
160,16,144,48,48,144,48,16,16,48,16,16],[28828800,13440,1280,302400,5040,144,
32,80,480,128,80,48,48,8,5040,144,144,32,8,8,8,80,8,8,48,48,48,8,144,8,8,8,8,
48,8,8],[28828800,13440,302400,5040,144,1120,480,48,48,5040,144,144,160,64,16,
48,48,48,144,16,16,16,48,16],[28828800,13440,302400,5040,144,32,480,48,48,5040
,144,144,8,32,8,8,48,48,48,144,8,8,8,8,48,8],[28828800,134400,1920,302400,5040
,144,640,13440,1680,192,16,1920,192,48,48,5040,144,144,64,64,16,1680,16,240,48
,48,16,48,48,48,144,16,16,16,48,48,16,16],[28828800,13440,3840,302400,5040,144
,320,384,32,480,384,48,48,5040,144,144,32,64,16,32,96,32,48,48,48,144,16,16,16
,48,32,16],[28828800,13440,3840,302400,5040,144,128,640,48,16,480,48,48,48,
5040,144,144,8,32,8,8,16,48,16,16,48,48,48,144,8,8,8,8,48,16,8],[28828800,
13440,1920,1920,302400,5040,144,128,320,120,96,24,24,8,480,120,48,48,24,5040,
144,144,8,32,8,8,24,8,120,24,24,24,8,8,48,48,48,144,8,8,8,8,48,24,8,8],[
28828800,13440,2520,360,96,120,24,144,36,24,12,12,48,12,36,12,12,12,12],[
28828800,13440,3840,2520,360,96,240,12,120,24,12,144,36,12,24,12,12,12,48,12,
36,12,12,12,12,12],[28828800,40320,2520,36,40320,36,72,36,9,36,72,36,9,36,9,9]
,[28828800,40320,7680,302400,5040,144,288,2240,1056,160,24,960,192,48,5040,144
,144,48,64,16,160,24,24,80,48,8,16,48,144,16,8,16,16,24,8,8],[28828800,161280,
5760,302400,5040,144,1920,15680,1680,864,144,24,2400,48,5040,144,144,288,48,
1680,144,24,24,320,48,8,48,144,48,8,48,48,24,8,8],[28828800,8320,302400,5040,
144,144,160,960,24,144,24,64,160,4,5040,144,144,24,16,4,24,144,24,24,160,24,24
,4,4,4,144,24,4,4,4,24,24,4,4],[28828800,1920,6400,302400,5040,144,64,320,40,
864,24,144,8,24,64,40,24,4,5040,144,144,16,8,8,4,144,8,24,24,40,24,4,4,8,8,4,
144,8,4,4,4,8,24,4,4],[28828800,161280,5760,201600,2520,72,144,1920,13440,1960
,576,72,24,24,960,120,1680,48,24,36,12,192,72,1680,48,8,12,4,8,16,24,16,48,12,
8,8,48,12,4,4,4],[28828800,2560,5760,201600,2520,72,144,64,576,56,72,12,24,24,
40,4,1680,48,24,36,12,12,4,48,12,8,12,4,8,32,8,2,6,4,12,8,4,2,4,6,4,2,2],[
28828800,2560,5760,5040,54,144,64,48,144,14,24,18,16,10,144,36,18,8,6,12,12,6,
24,8,8,6,2,4,18,4,4,2,4,6,6,2,2],[28828800,8320,201600,2520,72,144,144,120,704
,24,72,24,24,256,40,4,1680,48,24,36,12,12,32,4,24,48,8,12,4,8,32,8,12,2,6,4,12
,4,8,2,4,6,4,2,2],[28828800,8320,100800,2520,36,252,144,120,384,28,72,42,12,64
,40,10,36,72,36,36,9,18,12,16,6,24,12,12,3,6,6,12,4,6,4,4,3,1,4,9,2,2,2,1,4,3,
3,1,1],[28828800,201600,302400,5040,144,10080,17920,1680,3360,96,5040,144,144,
288,960,1680,400,48,16,96,144,80,48,48,16,8],[28828800,3200,302400,5040,144,48
,80,192,16,320,80,8,5040,144,144,48,8,16,80,48,8,8,16,8,144,8,8,16,8,8],[
28828800,40320,1920,640,302400,5040,144,128,2240,320,40,24,8,960,64,40,48,24,4
,5040,144,144,8,64,8,8,40,80,24,8,4,4,8,8,48,4,144,4,4,8,8,8,4,4],[28828800,
120960,1280,302400,5040,144,320,13440,1680,80,1440,128,80,8,5040,144,144,32,80
,1680,80,240,48,8,8,8,144,80,8,48,8,8],[28828800,40320,2560,302400,5040,144,96
,2240,160,96,24,960,64,160,48,4,5040,144,144,24,24,16,24,160,80,24,24,8,4,4,48
,4,144,4,24,4,24,8,4,4],[28828800,80640,1920,302400,5040,144,640,4480,192,16,
1920,192,96,5040,144,144,64,64,16,160,48,16,16,96,144,8,16,16,16,8],[28828800,
120960,1280,201600,2520,72,144,96,13440,1680,64,128,80,72,8,1680,48,24,36,12,
24,32,1680,16,16,24,12,4,8,12,16,8,12,4,4],[28828800,40320,2560,201600,2520,72
,144,320,280,120,128,24,960,256,40,48,4,1680,48,24,36,12,32,40,32,24,32,8,16,
12,4,2,6,48,4,12,8,8,4,6,4,2,2],[28828800,120960,1280,201600,2520,72,144,128,
13440,1680,16,72,32,8,1680,48,24,36,12,8,16,1680,16,24,12,4,4,8,12,16,4,12,4,4
],[28828800,40320,2560,201600,2520,72,144,128,280,56,12,960,48,40,4,1680,48,24
,36,12,8,8,8,12,32,16,4,8,2,6,48,4,12,2,8,2,6,4,2,2],[28828800,3200,5040,54,
144,96,48,16,32,14,144,36,18,6,4,12,10,10,6,4,8,18,2,4,6,4,2],[28828800,120960
,302400,5040,144,288,13440,1680,1440,5040,144,144,32,1680,240,48,144,48,48,8],
[28828800,1920,302400,5040,144,64,192,16,192,5040,144,144,32,16,48,16,144,8,16
,8],[28828800,120960,201600,2520,72,144,288,13440,1680,72,1680,48,24,36,12,8,
1680,24,12,12,48,12,4],[28828800,40320,468,40320,36,144,6,6,36,36,6,6,36,6,6,6
],[28828800,40320,468,40320,36,144,6,6,36,36,6,6,36,6,6,6],[28828800,40320,
403200,144,36,40320,36,36,6,6,40320,36,36,6,6,36,6,6,6],[28828800,13440,2520,
360,96,120,24,144,36,4,8,12,48,12,36,4,4,12,4],[28828800,13440,1920,1920,2520,
360,128,48,16,120,120,24,24,144,36,8,16,16,48,12,4,48,12,36,16,4,12,12,4,4],[
28828800,13440,3840,2520,360,96,48,4,120,24,12,144,36,12,4,8,4,4,48,12,36,4,4,
12,4,4],[28828800,13440,3840,2520,360,128,32,120,24,48,144,36,8,16,32,8,48,12,
36,16,4,12,8,4],[28828800,5760,2520,360,144,120,48,24,8,120,12,144,36,12,4,48,
2,12,6,8,36,2,4,12,2,6,2],[28828800,1920,3840,2520,360,64,120,24,16,8,24,12,
144,36,8,4,16,2,6,4,8,36,2,4,4,2,6,2],[28828800,5760,108,252,144,60,10,4,18,48
,36,3,6,48,4,6,4,1,3,4,2,3,1,1,1],[28828800,5760,108,252,144,60,10,4,18,48,36,
3,6,48,4,6,4,1,3,4,2,3,1,1,1],[28828800,13440,1920,1920,2520,36,128,12,4,120,
12,24,24,36,18,8,4,12,4,12,6,2,6,18,4,2,6,6,2,2],[28828800,13440,3840,2520,36,
128,8,12,24,48,36,18,8,4,8,12,4,6,18,4,2,6,4,2],[28304640,2304,60,4,1,1,1,1],[
27799200,12960,1440,1440,720,96,48,1080,720,48,48,24,48,90,6],[27799200,64800,
4320,4320,38880,1080,480,288,216,360,72,135,288,72,360,72,24,24,24,27,27,15,24
,9,9,9,15,9,3,3,9,9,3,3,3,3,3,3],[25945920,302400,907200,181440,15120,5040,
20160,40320,1440,5040,20160,181440,1440,720,5040,20160,720],[25945920,181440,
1920,7560,5040,480,5040,20160,2520,360,120,240,20160,5040,120,720,240,2520,120
],[25945920,181440,1920,907200,181440,144,144,20160,20160,288,192,144,20160,
181440,48,48,144,20160,48],[25945920,181440,1920,7560,5040,192,144,20160,2520,
72,24,48,20160,5040,24,48,48,2520,24],[25945920,120960,2880,7560,480,960,480,
30,2520,24,72,240,6,120,24,6,120,6,6],[25945920,1920,2880,162,64,32,32,30,18,6
,6,16,6,4,2,2,4,2,2],[25945920,1920,2880,162,64,32,32,30,18,6,6,16,6,4,2,2,4,2
,2],[25945920,1920,2880,162,64,32,480,30,18,6,6,16,6,4,2,6,4,2,2],[25945920,
1920,2880,162,64,32,480,30,18,6,6,16,6,4,2,6,4,2,2],[25945920,1920,2880,7560,
480,32,32,30,72,24,24,16,6,120,4,2,8,6,2],[25945920,4800,324,96,32,30,36,6,6,8
,6,6,2,2,2,3,1],[25945920,4800,324,96,480,30,36,6,6,24,6,6,2,6,6,1,1],[
25945920,181440,2880,192,907200,181440,192,192,20160,20160,960,192,192,20160,
192,192,181440,192,192,192,20160,192],[25945920,193536,2880,907200,181440,480,
960,20160,20160,288,1440,480,20160,96,96,181440,96,96,480,20160,96],[25945920,
193536,2880,7560,5040,960,144,20160,2520,24,72,48,20160,96,96,5040,24,96,48,
2520,24],[25945920,3072,2880,7560,480,64,30,72,24,24,32,10,6,2,120,4,2,8,6,2],
[25945920,3072,2880,162,64,64,30,18,6,6,64,10,6,2,4,2,2,4,2,2],[25945920,3072,
2880,162,64,64,30,18,6,6,64,10,6,2,4,2,2,4,2,2],[25945920,3072,2880,162,32,48,
32,30,18,6,6,8,10,6,2,6,2,2,2,1,1],[25945920,96768,2880,362880,36288,480,960,
3360,2880,480,3360,48,48,36288,240,48,48,48,480,240,48,48,48],[25945920,36288,
2880,960,362880,36288,192,192,3360,384,192,96,16,48,36288,240,48,16,16,192,16,
16,48,16],[25945920,96768,2880,3024,1008,960,144,3360,144,48,3360,48,48,1008,
24,8,48,8,48,24,8,8,8],[25945920,36288,960,2880,3024,1008,192,144,3360,48,48,
32,48,48,1008,24,8,16,8,48,8,8,8,8],[25945920,96768,2880,3024,36288,480,960,
3360,144,480,3360,48,48,216,24,48,48,48,24,24,48,6,6],[25945920,3840,576,3024,
96,64,3360,48,32,128,96,24,24,16,32,8,8,16,4,4],[25945920,60480,2880,576,3024,
96,192,32,3360,144,32,3360,96,96,24,24,16,96,16,8,24,16,4,4],[25945920,48384,
576,362880,36288,96,192,3360,576,96,96,64,36288,240,48,32,16,96,16,16,48,16],[
25945920,72576,192,3024,4032,192,3360,48,192,32,96,1008,24,32,32,48,8,32,8,8],
[25945920,1344,3024,672,3360,48,672,224,24,24,112,24,8,112,4,4],[25945920,
96768,2880,90720,36288,480,960,3360,1152,288,480,3360,48,48,432,96,48,60,48,48
,48,48,60,12,12,48,12,12,12,12],[25945920,108864,3024,108864,1008,1008,3360,
1008,1008,144,1008,24,144,8,8,1008,8,8,8,8],[25945920,108864,362880,36288,3024
,1008,3360,8064,1008,144,36288,240,48,24,8,1008,24,8,48,8],[25945920,36288,
1152,3024,1008,96,1008,3360,144,48,192,48,1008,24,8,16,8,48,24,8,8,8],[
25945920,72576,576,3024,96,192,96,3360,1008,48,96,96,24,24,16,32,16,24,8,8,4,4
],[25945920,1728,3024,384,96,3360,144,96,288,24,24,64,16,24,24,16,4,4],[
25945920,108864,3024,36288,3024,1008,3360,1008,1008,144,216,24,48,24,8,72,8,8,
6,2],[25945920,36288,5760,362880,36288,144,144,3360,576,144,96,48,36288,240,48
,8,8,144,24,8,48,8],[25945920,36288,5760,3024,1008,480,144,3360,48,48,96,48,
1008,24,8,48,8,48,8,8,8,8],[25945920,36288,5760,3024,1008,192,144,3360,144,48,
192,48,1008,24,8,16,8,48,24,8,8,8],[25945920,5760,576,3024,96,32,32,3360,144,
16,192,96,24,24,16,16,16,8,24,8,4,4],[25945920,6336,3024,96,192,32,3360,48,16,
96,96,24,24,16,32,16,8,8,8,4,4],[25945920,36288,5760,3024,36288,144,144,3360,
48,144,96,48,216,24,48,8,8,8,8,8,6,2],[25945920,96768,2880,90720,960,6720,3360
,2016,144,720,480,3360,48,48,48,720,48,60,480,48,48,60,6,6,48,60,6,6,6],[
25945920,60480,2880,576,756,192,1680,144,3360,36,36,36,48,3360,96,96,12,36,12,
6,120,24,96,12,6,6,6,24,6,6,6,6],[25945920,60480,2880,576,756,192,192,3360,36,
36,36,16,3360,96,96,12,4,12,6,32,96,4,6,6,6,8,2,2,6,2],[25945920,96768,2880,
90720,960,1680,144,3360,2016,144,720,48,3360,48,48,48,16,48,60,120,24,48,8,60,
6,6,8,4,6,6,2],[25945920,96768,2880,756,960,1680,144,3360,252,12,36,48,3360,48
,48,12,4,12,6,120,24,48,4,6,2,2,8,2,6,2,2],[25945920,96768,2880,756,960,192,
3360,252,12,36,48,3360,48,48,12,36,12,6,32,48,12,6,2,2,8,6,2,2,2],[25945920,
3456,960,90720,32,160,32,5,576,96,16,5,1,1,16,16,16,5,1,1,1,8,1,5,1,1,1,1,1,1]
,[25945920,36288,5760,90720,36288,144,144,3360,288,432,144,96,48,432,16,16,60,
48,8,8,16,12,12,8,12,4,4,4],[25945920,145152,6720,90720,3024,2240,432,3360,
4032,288,864,96,144,3360,112,112,32,144,96,48,16,60,24,112,24,16,60,4,12,12,4,
24,12,4,4,4,4,4],[25945920,96768,3840,3648,756,96,960,256,192,64,3360,252,36,
36,12,12,36,12,32,3360,128,48,128,48,4,12,12,12,4,4,12,6,16,128,48,16,16,4,6,2
,6,2,6,2,2,16,6,2,2,2,2,2,2,2],[25945920,108864,90720,36288,3024,1008,3360,
4032,432,1008,144,432,144,144,60,48,24,8,144,12,12,8,12,4,4,4],[25945920,72576
,960,90720,320,288,3360,864,96,48,3360,16,16,32,32,60,48,16,16,60,4,4,8,8,4,4]
,[25945920,72576,960,90720,320,5040,144,3360,864,96,48,3360,16,16,32,720,16,60
,360,24,16,16,60,4,4,8,60,4,4,4],[25945920,60480,960,192,756,64,288,3360,12,36
,12,16,3360,32,32,4,36,4,6,48,32,4,6,2,2,8,6,2,2,2],[25945920,72576,960,90720,
320,1008,144,3360,864,96,48,3360,16,16,32,144,16,60,16,8,8,16,60,4,4,8,4,4,4,4
],[25945920,12096,7680,90720,160,144,1008,3360,288,144,192,48,128,16,16,16,144
,60,16,8,8,16,8,12,4,8,4,4,4,4],[25945920,84672,1920,90720,3024,160,144,3360,
4032,144,192,48,32,112,16,144,16,60,24,16,8,16,8,12,4,8,4,4,4,4],[25945920,
72576,960,90720,320,320,3360,864,96,320,3360,16,16,32,32,60,16,16,32,60,4,4,16
,4,4,4],[25945920,72576,960,90720,320,3360,3360,864,96,160,3360,16,16,32,96,60
,240,16,16,60,4,4,16,12,4,4],[25945920,60480,960,192,756,64,1680,48,3360,12,36
,12,16,3360,32,32,4,12,12,6,120,8,32,4,6,2,2,8,6,2,2,2],[25945920,192,3024,96,
3360,48,96,32,24,16,24,8,16,4],[24710400,103680,172800,1440,11520,1440,120,
1440,24,1440,12,12,12,12,12,12],[24710400,3840,86400,5040,432,192,240,120,144,
24,48,120,6,6,24,6,6,6],[24710400,3840,5760,216,48,48,120,72,24,12,120,6,6,24,
6,6,6],[24710400,3840,720,108,432,48,12,120,18,24,6,6,3,6,3,6,3,3],[24710400,
3840,86400,216,216,192,12,120,54,24,6,3,6,6,3,6,3,3],[24710400,3840,172800,
1440,192,384,120,1440,24,48,12,12,6,6,12,6],[24710400,3840,172800,1440,48,48,
120,1440,24,48,12,12,6,6,12,6],[24710400,1280,86400,5040,432,128,80,8,120,144,
8,8,120,6,6,8,2,2,6,2],[24710400,1280,5760,216,32,8,120,72,8,8,120,6,6,8,2,2,6
,2],[24710400,34560,86400,5040,432,1920,144,120,144,8,24,120,6,6,8,2,6,2],[
24710400,34560,5760,216,240,144,120,72,8,12,120,6,6,8,2,6,2],[24324300,102060,
7020,5580,34020,3780,1260,900,1260,108,684,900,180,756,324,108,396,180,36,1260
,540,180,468,36,36,108,36,180,108,108,324,108,108,36,108,108,252,252,180,36,
108,108,252,180,180,36,36,36,36,36,36,36,36,36,180,36,36,36,180,180,36,36,36,
36,36,36,36,36,252,108,252,108,72,36,36,36,36,36,72,36,252,180,180,36,36,36,36
,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
,180,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,252,
36,36,180,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36
,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36],[24324300,
102060,7020,5580,102060,2160,1620,1620,324,1116,1116,324,648,432,180,36,630,
1620,1116,324,324,1620,324,324,432,324,324,126,432,324,324,324,126,180,90,36,
36,36,36,18,18,18,18,18,90,36,36,18,18,18,1620,126,432,324,324,324,324,324,324
,324,324,126,90,18,18,18,90,18,18,18,18,18,36,18,18,18,18,36,18,18,18,18,36,18
,18,18,18,36,18,18,18,126,324,324,324,90,18,18,18,18,18,18,18,18,36,18,18,18,
18,18,18,18,18,18,18,324,18,18,18,18,18,18,18],[24324300,147420,4860,7020,
102060,3780,1620,1980,2460,396,1116,972,348,324,324,108,324,1260,108,60,12,
1980,180,972,36,348,348,36,1620,324,324,324,324,108,36,396,108,324,324,324,324
,108,1260,60,108,36,36,36,36,12,60,36,12,12,12,12,12,12,60,60,12,12,12,12,36,
36,36,12,12,12,1620,108,324,324,324,324,324,36,348,36,36,324,324,324,60,60,12,
12,12,12,12,12,12,60,60,36,36,36,12,12,12,12,12,12,12,12,12,12,12,12,12,36,36,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,324,36,324,
324,60,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12
,12,12,12,12,12,12,12,12,12,324,12,12,12,12,12,12,12,12,12,12,12],[24324300,
79380,2340,3420,3780,1260,360,540,36,228,144,48,108,84,1260,36,180,60,1260,180
,24,180,36,12,36,36,84,84,12,12,12,180,180,12,12,12,12,12,180,12,180,180,180,
60,12,12,36,12,12,24,24,12,12,84,12,12,24,12,12,180,180,12,12,12,12,12,12,12,
12,12,12,12,180,12,12,12,12,12,36,24,12,12,12,12,12,180,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12],[24324300,79380,3780,1980,3780,180,120,540,36,132,
336,16,216,108,92,1260,180,60,36,180,8,60,24,24,40,36,12,36,36,24,12,52,4,4,36
,60,12,12,8,8,4,4,20,8,8,12,12,8,60,180,36,4,4,8,24,36,12,28,16,16,8,8,12,24,
12,4,12,24,8,16,8,16,4,4,60,20,4,4,4,4,8,8,8,8,8,8,4,4,4,4,12,4,4,4,4,4,12,12,
4,4,4,4,4,4,4,8,8,36,16,4,8,12,12,4,4,4,12,4,4,4,4,4,8,12,4,4,4,12,4,4,8,4,8,4
,8,4,4,8,4,4,4,4,8,4,4,4],[24324300,170100,2340,4860,18900,1260,360,2700,180,
324,144,48,540,84,216,180,12,1260,2700,24,180,180,180,180,540,84,84,12,12,12,
72,180,72,180,12,12,36,12,12,12,12,180,12,180,180,12,12,12,12,36,24,12,12,540,
84,180,180,12,36,36,12,12,180,180,36,12,12,12,12,12,12,12,12,24,12,12,12,12,12
,12,180,12,12,12,12,12,12,12,12,12,180,180,12,12,12,36,12,12,12,36,12,12,12,12
,12,12,12,36,12,12,12,12,12],[24324300,124740,3060,4860,68040,3780,1620,960,
1260,132,468,312,104,108,108,1260,36,420,28,1260,720,180,216,72,88,660,36,12,
132,36,84,108,44,44,44,1260,60,36,12,12,420,12,12,4,300,28,28,20,20,20,180,12,
180,60,300,12,12,28,12,12,4,20,20,540,84,12,72,36,44,36,60,60,180,4,4,4,4,4,12
,12,180,60,300,12,12,12,12,20,12,12,4,4,4,4,4,20,28,20,20,20,20,180,12,12,12,
12,12,12,4,20,12,36,180,12,12,12,180,60,12,12,12,4,4,4,4,4,60,60,4,4,4,4,4,12,
4,20,4,4,12,12,60,4,4,4,4,4,12,12,4,4,4,4],[24324300,170100,3780,3420,18900,
180,120,2700,180,228,336,16,216,540,92,72,60,52,2700,8,60,24,24,40,180,180,180
,540,24,12,52,4,4,36,24,24,60,12,12,8,8,12,4,4,52,4,24,24,12,12,8,60,52,4,4,4,
12,8,24,24,8,8,12,540,24,180,180,4,12,12,12,4,4,24,60,12,52,4,4,4,4,4,4,4,8,24
,24,24,24,8,8,4,4,4,4,12,4,4,4,4,4,12,12,4,4,4,4,4,4,4,8,8,24,4,4,4,4,4,180,12
,4,4,4,4,4,8,12,4,4,4,24,24,4,4,4,4,4,4,24,4,4,4,4,24,4,4,4,4,4,4,24,4,4,4,4],
[24324300,124740,4500,3420,68040,3780,540,720,1260,132,372,504,72,216,108,116,
1260,36,60,52,720,180,216,72,72,540,24,24,40,36,12,132,36,24,36,84,36,36,36,
1260,60,36,12,12,12,12,4,60,28,28,8,24,4,4,36,16,16,12,12,8,60,60,20,4,4,12,12
,4,24,8,24,8,20,540,24,12,72,36,36,36,12,60,60,4,4,4,4,4,24,12,60,60,20,4,4,4,
4,12,12,4,4,4,4,4,8,8,8,16,24,8,4,12,12,12,20,12,4,4,4,4,12,12,4,4,4,4,4,4,4,8
,8,8,4,4,12,4,4,36,12,4,4,4,4,4,8,60,24,4,4,4,4,4,12,12,8,8,4,4,4,4,12,4,8,4,4
,4,4,12,4,4,8,4,4,4,4,4,4,12,4,4,4,4],[24324300,79380,5220,3420,3780,540,360,
540,132,228,432,96,288,108,164,72,300,36,180,48,24,180,72,72,64,48,36,12,36,36
,24,36,60,60,36,36,24,24,60,28,28,40,8,12,4,20,20,4,16,16,12,12,8,60,120,20,4,
20,4,12,8,8,8,16,16,12,24,36,12,24,12,12,24,12,60,8,8,4,4,4,12,8,60,12,20,4,4,
4,4,4,4,4,8,8,8,8,8,8,8,16,8,20,12,12,4,12,4,4,4,12,12,12,12,4,4,4,4,4,4,4,8,8
,8,4,4,4,4,8,4,12,12,4,4,4,4,4,8,8,8,4,4,4,4,4,8,60,4,8,4,4,4,8,4,4,8,4,4,4,4,
4,4,4,4,8,4,4,4,4,4,4,4,4,4],[24324300,79380,3780,4860,3780,1620,600,540,132,
324,240,128,72,108,156,72,180,44,1260,180,48,40,300,48,48,24,48,36,12,36,36,84
,108,20,68,44,24,180,24,180,16,16,12,28,12,28,12,12,4,8,8,180,12,180,180,12,12
,12,4,12,8,16,28,12,8,84,36,12,24,12,20,24,8,8,4,4,8,8,12,180,180,12,12,12,12,
4,4,12,12,4,8,8,12,12,12,28,12,12,8,8,8,8,8,180,12,12,12,12,12,12,4,8,12,12,12
,180,12,12,12,8,8,4,4,4,12,4,4,4,8,8,4,4,4,4,8,12,4,12,4,4,4,4,12,8,4,4,4,12,4
,4,4,4,4],[24324300,79380,3780,4860,68040,1080,840,900,156,372,264,112,108,72,
36,128,72,180,44,630,720,216,12,80,72,4,540,24,24,12,12,8,108,54,72,36,44,44,
12,18,72,180,8,90,16,16,12,28,12,18,10,18,4,14,14,12,12,8,90,8,8,12,4,12,8,16,
12,26,10,14,540,42,4,72,4,36,36,36,6,90,8,8,4,4,18,6,6,90,12,8,4,4,4,4,6,4,8,4
,4,4,4,4,6,6,2,8,18,12,6,14,6,10,10,10,10,6,8,6,6,2,2,4,4,4,4,4,4,8,8,4,8,4,4,
4,4,4,10,2,6,4,36,4,4,6,4,4,2,2,2,4,90,18,6,6,8,4,4,6,6,4,4,4,4,4,4,4,4,6,2,4,
2,4,6,4,4,6,6,4,2,2,4,4,4,2,2,2,2,2,4,6,6,2,2,2,2],[24324300,34020,4500,4860,
1080,480,180,156,228,192,136,180,72,36,176,1260,36,180,44,630,12,56,24,4,180,
72,72,36,60,8,12,54,72,12,68,44,12,18,24,60,24,30,24,24,20,20,12,22,14,6,4,18,
18,12,12,8,60,90,8,8,12,12,12,4,16,12,26,10,14,42,36,12,28,4,12,24,6,60,30,4,8
,4,4,6,10,10,30,12,8,4,4,4,2,4,8,4,4,4,4,4,10,2,6,8,6,4,10,18,2,6,8,14,14,6,2,
8,10,10,6,6,4,4,4,4,4,4,8,8,4,8,4,4,4,4,4,10,2,6,4,12,4,4,6,4,4,2,2,2,4,4,4,8,
4,4,6,4,4,6,30,6,2,2,4,4,4,2,2,8,4,2,2,4,2,4,2,4,4,2,2,4,4,2,2,4,4,4,2,2,2,2,2
,4,2,2,2,2,2,2],[24324300,102060,2700,4140,34020,3780,180,660,1260,108,396,324
,84,108,324,108,84,300,60,540,180,180,36,36,60,36,60,36,36,60,36,108,36,108,
108,36,60,12,36,108,60,12,12,12,12,12,60,120,12,12,60,60,12,24,24,24,108,36,36
,24,12,36,36,36,36,24,12,60,12,12,12,60,12,12,12,12,12,12,12,12,12,12,12,12,12
,12,60,12,12,12,24,24,24,36,12,60,12,12,12,12,12,24,12,12,12,12,12,12,12,12,12
,12,12,12,12,12,12],[24324300,56700,4860,2700,34020,720,300,420,36,396,468,60,
432,192,1260,108,180,36,630,180,324,12,36,60,36,36,168,36,36,126,144,60,12,36,
126,60,30,12,12,12,12,6,6,6,6,6,60,90,36,12,36,36,36,12,36,18,18,18,126,144,36
,24,12,12,24,12,126,60,30,12,12,12,6,6,6,30,6,6,6,6,6,12,6,6,6,6,12,6,6,6,6,12
,6,6,6,6,36,36,12,12,12,18,18,18,126,12,30,6,6,6,6,6,18,12,12,6,6,6,6,6,6,6,12
,12,12,6,6,6,6,12,6,6,6,6,6,6],[24324300,170100,2340,4860,18900,540,360,2700,
276,324,144,96,72,540,84,216,180,12,2700,48,24,180,48,48,24,48,180,180,180,540
,36,12,60,36,72,72,180,36,12,12,12,12,180,12,12,12,12,36,24,540,36,12,24,180,
180,12,24,36,36,24,24,12,12,12,12,180,36,12,12,12,12,12,12,12,12,24,12,12,12,
12,180,12,36,24,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12],[
24324300,158760,5220,68040,9450,1620,1140,1860,198,54,1890,126,420,1260,900,
900,660,126,54,1890,180,54,30,54,420,300,30,6,180,180,180,300,30,30,6,540,90,
54,60,60,180,18,18,6,180,180,300,6,18,18,30,18,30,18,180,18,18,6,6,6,6,6,180,
180,60,18,6,60,60,18,18,18,6,6,6,6,6,6,6,60,18,6,6,6,6,6,6],[24324300,158760,
1440,3780,68040,9450,540,900,1860,96,198,54,24,1890,126,60,24,900,900,540,126,
12,8,54,1890,180,54,30,30,24,60,4,12,18,6,16,4,4,60,180,8,30,30,12,4,6,540,90,
54,60,60,18,6,6,4,12,60,180,6,18,18,18,8,4,18,30,18,12,4,4,4,18,18,6,6,6,2,2,4
,60,6,6,12,4,6,4,4,4,18,18,6,6,6,6,6,2,2,4,2,2,6,2,6,2,2],[24324300,113400,
2160,3780,9450,180,300,900,48,144,120,40,198,54,32,630,162,300,8,900,16,12,12,
60,36,90,12,8,8,4,18,90,12,48,42,6,10,60,20,4,12,6,8,8,6,4,60,120,8,4,18,18,12
,12,4,4,6,90,6,4,60,18,6,4,4,2,4,4,60,6,6,6,8,4,4,2,2,2,18,12,6,6,4,4,8,4,4,4,
2,6,6,2,6,2,2,4,6,4,4,4,2,60,6,4,4,2,6,6,6,2,2,2,2,2,4,2,2,6,2,2,6,2],[
24324300,113400,720,5220,9450,1260,540,900,48,144,24,40,198,54,8,630,162,180,
16,1260,900,16,12,12,180,36,90,8,4,18,90,12,72,180,18,6,10,180,8,24,6,8,2,180,
180,180,4,18,18,12,12,8,6,90,6,4,18,18,4,4,2,4,4,180,180,6,6,18,4,2,2,2,18,12,
6,6,4,8,180,2,6,6,2,6,6,6,180,18,4,4,2,18,4,4,2,6,6,6,2,2,2,6,6,18,4,6,2,2,2,2
,2],[24324300,68040,2160,4500,1890,180,300,540,120,144,24,40,270,54,48,1890,54
,44,16,12,12,60,24,36,36,54,12,8,4,18,90,48,12,6,18,10,16,4,4,12,4,12,2,2,20,
12,180,4,4,6,18,12,12,12,4,2,18,6,4,60,6,4,2,2,6,4,4,6,6,4,2,4,2,2,2,18,12,6,6
,4,12,4,8,4,4,4,18,2,6,2,2,2,2,4,4,2,2,6,4,4,4,2,2,2,6,2,2,6,2,2,2,2,4,2,2,2,2
,2,2,2],[24324300,68040,2160,4500,1890,180,300,540,120,144,24,40,270,54,48,
1890,54,44,16,12,12,60,24,36,36,54,12,8,4,18,90,48,12,6,18,10,4,16,4,12,4,12,2
,2,20,12,180,4,4,6,18,12,12,12,4,2,18,6,4,60,6,4,2,2,6,4,4,6,6,4,2,4,2,2,2,18,
12,6,6,4,12,4,8,4,4,4,18,2,6,2,2,2,2,4,4,2,2,6,4,4,4,2,2,2,6,2,2,6,2,2,2,2,4,2
,2,2,2,2,2,2],[24324300,113400,1440,4500,68040,1890,540,900,1500,72,270,54,40,
630,90,44,900,540,24,36,90,12,54,630,90,30,30,12,4,12,18,4,20,2,12,12,4,18,30,
12,12,12,4,2,540,54,18,4,2,4,2,2,6,12,18,18,18,4,2,30,12,6,6,12,12,4,4,4,18,6,
2,2,2,2,2,4,12,4,2,2,6,4,2,4,2,18,6,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2],[24324300,
113400,1440,4500,68040,1890,540,900,1500,72,270,54,40,630,90,44,900,540,24,36,
90,12,54,630,90,30,30,12,4,12,18,4,20,2,12,12,4,18,30,12,12,12,4,2,540,54,18,4
,2,4,2,2,6,12,18,18,18,4,2,30,12,6,6,12,12,4,4,4,18,6,2,2,2,2,2,4,12,4,2,2,6,4
,2,4,2,18,6,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2],[24324300,79380,900,1980,3780,180,
120,540,36,132,48,16,108,12,216,180,44,180,8,60,36,12,36,36,12,4,4,4,60,4,4,4,
180,12,12,12,12,36,24,16,16,8,12,4,24,12,8,8,4,4,8,4,60,4,4,4,4,4,12,12,8,12,4
,12,8,4,4,4,12,4,4,8,4,4,4,4,4,4,4],[24324300,79380,900,1980,3780,180,120,540,
36,132,48,16,108,12,72,420,60,180,8,60,36,12,36,36,12,4,4,4,60,4,4,4,180,120,
44,12,28,4,12,8,16,16,8,8,12,4,60,12,8,4,4,8,4,4,60,4,4,4,4,4,16,12,4,8,12,4,
60,4,4,4,4,12,4,4,4,8,4,4,4,4,4,4],[24324300,124740,1620,3420,68040,3780,540,
720,1260,132,372,216,72,108,36,2520,144,180,28,720,180,216,72,72,540,36,12,132
,36,36,36,36,36,1260,60,36,12,12,12,12,4,60,4,4,4,180,240,28,28,28,12,36,72,48
,24,24,24,540,12,72,36,36,36,60,120,12,4,16,16,4,16,4,12,4,60,60,4,4,4,4,4,12,
12,4,4,4,4,4,36,36,24,24,24,28,12,12,12,24,24,12,12,4,8,4,36,60,4,4,4,4,4,12,
24,12,12,4,8,4,4,4,4,8,4,4,16,4,12,12,12,12,4,4,4,12,4,4,8,4,4,4,4,4,4],[
24324300,170100,900,3420,18900,180,120,2700,180,228,48,16,540,12,72,300,20,
2700,8,60,180,180,180,540,12,4,4,4,24,24,60,12,4,4,4,4,60,120,4,4,20,4,12,8,8,
8,12,540,180,180,4,60,12,12,4,4,4,4,60,12,4,4,4,4,4,4,4,4,8,4,4,8,12,4,4,180,
12,4,4,4,60,4,4,4,4,12,4,4,4,4,4,4,12,4,4,4,4],[24324300,124740,1620,3420,
68040,3780,540,720,1260,132,372,216,72,108,36,1260,180,60,4,720,180,216,72,72,
540,36,12,132,36,36,36,36,36,1260,60,36,12,12,12,12,4,60,4,4,4,60,60,4,4,4,8,
24,12,12,20,12,540,12,72,36,36,36,60,60,24,4,4,4,4,8,4,60,60,4,4,4,4,4,12,12,4
,4,4,4,4,4,8,4,12,4,4,36,60,4,4,4,4,4,12,4,4,4,12,4,4,8,4,4,4,12,4,4,4,4],[
24324300,79380,2340,3420,3780,540,360,540,132,228,144,96,72,108,84,216,60,4,
180,48,24,180,48,48,24,48,36,12,36,36,36,12,60,36,24,24,60,12,4,4,4,4,60,4,4,4
,12,36,24,4,36,12,24,12,12,24,24,8,8,8,4,4,60,12,4,4,4,4,4,4,4,4,8,4,12,4,4,4,
12,8,4,4,4,12,4,4,4,4,4,8,4,4,4,4,4,4,4,4],[24324300,170100,900,3420,18900,180
,120,2700,180,228,48,16,540,12,72,60,36,2700,8,60,180,180,180,540,12,4,4,4,24,
24,60,12,4,4,4,4,60,4,4,4,4,12,8,16,16,8,4,540,180,180,4,12,12,4,4,8,4,60,12,4
,4,4,4,4,4,4,4,8,4,4,8,4,4,4,180,12,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4],[
24324300,79380,2340,3420,3780,540,360,540,132,228,144,96,72,108,84,72,60,36,
180,48,24,180,48,48,24,48,36,12,36,36,36,12,60,36,24,24,60,12,4,4,4,4,60,36,4,
4,4,12,8,16,16,12,36,12,24,12,12,24,8,8,4,4,8,60,12,4,4,4,4,4,4,4,4,8,16,4,4,
12,4,4,12,8,4,4,4,4,4,4,4,12,4,4,8,4,4,4,4,4,4,4],[24324300,124740,1620,3420,
68040,3780,540,720,1260,132,372,216,72,108,36,1260,36,60,36,720,180,216,72,72,
540,36,12,132,36,36,36,36,36,1260,60,36,12,12,12,12,4,60,4,4,4,60,60,36,4,4,12
,12,4,16,16,4,540,12,72,36,36,36,60,60,4,4,4,4,4,8,60,60,4,4,4,4,4,12,12,4,4,4
,4,4,16,4,4,4,4,4,36,60,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4],[24324300,
192780,2700,5580,34020,18900,180,660,3420,252,492,324,84,108,756,108,84,1260,
108,60,28,540,2700,180,36,36,60,36,60,36,36,60,36,252,204,252,612,36,60,12,36,
108,1260,180,36,36,60,36,12,12,60,12,12,12,28,4,20,20,60,180,28,12,12,4,12,36,
12,20,20,20,540,108,36,36,24,12,180,204,36,36,36,24,12,12,12,8,8,4,8,4,8,8,12,
4,60,180,12,28,12,12,4,4,12,12,4,36,36,36,12,20,12,12,12,12,12,12,12,12,20,20,
20,12,20,12,12,36,12,20,12,12,4,12,12,180,36,12,12,4,4,4,8,12,12,8,4,4,12,12,
36,12,20,12,12,12,12,4,12,12,12,12,12,4,4,4,4,12,4,4,4,4,12,12,12,4,4,4,4,4,4,
4,4,4],[24324300,215460,1620,7740,68040,18900,540,1440,4380,372,660,216,120,
972,216,36,2520,144,60,4,1440,2700,216,72,120,120,72,540,324,228,372,684,36,36
,36,36,216,2520,360,144,96,96,48,48,32,60,36,12,4,4,4,12,4,60,360,4,4,4,12,36,
96,48,32,540,540,216,180,228,120,72,72,36,36,36,60,60,12,12,12,4,4,4,4,4,4,4,4
,60,360,12,36,36,36,4,4,4,4,12,12,12,12,12,4,4,12,4,4,12,12,72,96,72,48,32,32,
32,32,24,24,32,36,72,4,12,12,24,32,12,12,4,4,180,36,72,60,12,12,4,4,4,4,4,4,4,
4,4,4,4,24,12,4,4,36,72,4,4,12,12,12,12,12,12,24,24,24,24,32,12,4,4,4,4,4,4,4,
4,12,12,4,4,4,4,4,4,12,4,4,4,4,24,12,4,4,4,12,4,4,4,4,4,4,4,4,4],[24324300,
79380,2340,6300,3780,540,600,540,228,228,144,112,72,252,72,84,2520,144,60,20,
180,24,64,24,8,180,48,48,24,48,36,28,36,36,36,12,60,36,24,120,72,48,24,48,8,60
,36,12,20,4,4,12,4,8,8,60,240,20,4,4,4,12,48,24,24,8,8,36,12,24,12,8,12,24,120
,12,16,8,16,8,4,4,12,4,4,60,12,24,12,4,20,4,4,4,8,12,4,4,4,4,8,4,12,12,8,16,4,
4,8,8,8,8,36,8,4,4,12,16,12,12,4,4,12,16,8,12,4,4,8,12,4,4,8,4,4,8,4,4,12,4,4,
4,4,4,8,4,4,4,4,8,4,12,4,4,4,4,8,4,4,4,4,4,4,4,4],[24324300,79380,900,1980,
3780,180,120,540,36,132,48,16,108,12,1260,36,60,52,180,8,60,36,12,36,36,12,4,4
,4,60,4,4,4,60,180,20,4,4,36,12,12,24,8,16,8,12,12,4,8,4,4,8,4,60,4,4,4,4,4,36
,8,4,12,12,8,12,4,4,8,4,4,12,4,4,12,4,4,4,4,4,4,4,4,4],[24324300,79380,900,
1980,3780,180,120,540,36,132,48,16,108,12,1260,36,300,36,180,8,60,36,12,36,36,
12,4,4,4,60,4,4,4,60,180,120,20,4,20,36,12,12,8,8,8,8,4,12,4,60,8,4,4,4,4,60,4
,4,4,4,4,36,8,4,12,12,8,4,4,4,60,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4],[24324300,
79380,3780,1980,3780,180,120,540,36,132,336,16,216,108,92,72,180,28,180,8,60,
24,24,40,36,12,36,36,24,12,52,4,4,36,60,12,12,8,8,4,4,20,8,8,12,12,8,180,28,12
,12,4,12,8,8,8,8,8,12,12,24,12,4,12,12,8,4,4,60,20,4,4,4,4,8,8,8,8,8,8,4,4,4,4
,12,4,4,4,4,4,12,12,4,4,4,4,4,4,4,8,8,8,12,4,4,4,4,12,4,12,4,4,12,4,4,4,4,4,8,
12,4,4,4,8,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4],[24324300,79380,2340,3420,
3780,1260,360,540,36,228,144,48,108,84,72,300,20,1260,180,24,180,36,12,36,36,
84,84,12,12,12,180,180,12,12,12,12,12,180,12,300,180,20,20,20,4,12,8,12,12,4,
84,12,12,12,8,4,4,180,180,12,12,12,12,12,12,12,12,12,12,12,180,12,12,12,12,12,
20,4,12,12,12,4,4,4,4,180,12,12,12,12,4,12,12,4,4,4,4,4,4,12,4,4,4,12,4,4,4,4,
4],[24324300,34020,3780,2700,180,120,180,60,84,192,40,216,72,36,108,1260,108,
120,16,12,8,4,36,36,32,12,8,12,24,12,24,8,8,12,36,30,30,10,10,14,6,6,14,6,10,
10,90,6,6,10,60,60,60,4,12,8,4,12,12,12,12,4,8,4,12,8,6,2,12,4,4,12,12,8,4,8,8
,4,2,8,8,4,4,4,2,2,6,4,2,8,4,4,6,4,4,4,4,2,4,4,8,8,30,2,2,6,6,6,6,2,2,6,2,10,6
,2,6,4,4,4,4,4,4,6,2,12,4,4,6,2,2,2,2,2,6,6,2,2,4,4,2,2,4,4,4,4,2,2,4,2,2,2,4,
4,6,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2],[24324300,102060,2700,4140,
34020,3780,180,660,1260,108,396,324,84,108,324,108,84,144,60,44,540,180,180,36
,36,60,36,60,36,36,60,36,108,36,108,108,36,60,12,36,108,60,12,12,12,12,12,60,
44,12,12,8,24,16,28,28,108,36,36,24,12,36,36,36,36,24,12,24,8,16,8,8,8,60,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,28,12,12,8,36,12,12,4,4,4,4,4,12,12,
12,12,12,12,12,8,8,8,8,12,4,4,4,8,4],[24324300,79380,2340,6300,3780,1260,600,
540,132,228,144,64,252,72,84,1260,36,180,12,1260,180,24,16,24,8,180,36,28,36,
36,84,84,12,12,12,24,120,48,24,180,24,8,180,12,12,12,12,12,12,12,4,4,180,12,
180,60,180,12,12,12,12,12,4,12,12,12,84,12,8,12,180,180,12,12,12,12,12,4,4,4,
12,12,4,4,4,12,12,8,4,4,8,12,12,12,12,12,12,180,12,12,12,12,12,12,4,12,12,12,4
,12,4,4,12,4,12,4,180,12,12,12,4,4,12,4,4,12,12,4,4,4,12,4,12,4,4,4,12,4,12,4,
4,4,12,4,12,4,4,4,4,4,4],[24324300,79380,3780,4860,3780,180,360,540,132,132,
336,32,216,252,72,92,1260,36,60,20,180,24,16,8,8,60,24,24,40,36,28,36,36,24,12
,52,4,4,24,36,120,48,24,24,8,60,12,12,8,8,12,12,4,4,20,4,4,8,8,12,12,8,60,60,
20,4,4,12,12,4,8,8,8,8,12,4,24,12,8,4,12,60,12,12,20,4,4,4,4,4,4,4,4,4,4,12,12
,8,4,4,8,8,8,8,8,8,8,4,4,4,4,12,4,4,4,4,4,12,12,4,4,4,4,4,4,4,8,8,8,4,4,4,4,4,
12,4,4,4,4,4,4,4,4,12,4,4,4,4,4,8,4,4,4,8,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4
,4,4,4,4,4,4,4,4,4,4,4,4],[24324300,34020,3780,5580,180,360,180,156,84,192,56,
216,216,108,108,240,24,36,24,12,36,36,32,12,24,12,24,12,24,8,8,36,36,30,30,10,
10,14,6,36,6,30,6,12,18,18,90,6,6,10,180,60,12,20,16,4,8,4,12,8,6,2,12,4,12,12
,36,24,12,4,2,12,12,16,16,4,4,12,2,2,14,4,2,8,4,4,6,4,4,4,4,2,4,4,8,8,30,2,2,6
,6,6,6,2,2,6,2,10,6,2,6,4,12,4,4,6,2,12,6,2,2,2,2,2,6,2,2,2,6,2,2,2,6,6,2,2,4,
4,2,2,4,12,4,2,2,12,2,12,12,12,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2
,2,12,2,2,2,2,2,2,2,2,2,2],[24324300,79380,900,4860,3780,180,360,540,132,132,
48,32,252,72,12,1260,180,300,20,180,24,16,8,8,60,36,28,36,36,12,4,4,4,24,120,
48,24,24,8,60,12,12,4,4,4,4,4,60,60,120,4,4,20,8,24,12,12,20,8,8,12,8,4,60,24,
8,4,4,60,12,12,4,4,4,4,4,4,4,4,4,4,4,12,12,8,4,4,8,4,8,4,8,12,4,60,12,4,4,4,4,
4,4,4,4,12,4,4,4,8,4,4,12,4,4,4,4],[24324300,79380,900,4860,3780,180,360,540,
132,132,48,32,252,72,12,1260,36,60,68,180,24,16,8,8,60,36,28,36,36,12,4,4,4,24
,120,48,24,24,8,60,12,12,4,4,4,4,4,60,60,36,4,4,12,12,4,32,16,16,8,12,8,4,8,8,
4,60,12,12,4,4,4,4,4,4,4,4,4,4,4,12,12,8,4,4,8,16,4,4,8,12,4,8,4,4,4,4,4,4,4,4
,4,12,4,4,4,8,4,4,4,4,4,4,4],[24324300,102060,2700,7020,34020,3780,180,900,
1260,204,396,324,100,108,468,180,84,1260,108,180,20,540,180,180,60,52,60,44,60
,36,36,60,36,108,52,108,108,36,60,12,36,132,120,72,48,24,24,16,60,24,36,12,28,
12,8,12,20,20,180,60,20,20,20,4,12,12,12,12,12,12,108,36,36,24,12,36,36,44,36,
24,12,60,12,12,12,4,8,4,4,4,8,4,4,60,36,12,12,12,12,28,12,4,4,8,4,12,12,4,12,
12,4,12,12,8,8,4,4,8,20,20,12,12,20,12,12,20,12,12,12,12,20,4,4,12,12,4,4,36,
12,12,8,4,4,4,8,4,4,12,12,4,4,20,12,12,12,12,12,12,4,4,4,12,12,12,4,4,4,4,4,4,
4,4,4,4,4,4,12,4,12,4,4,4,4,4,4,4,4,4],[24324300,102060,2700,4140,34020,3780,
180,660,1260,108,396,324,84,108,324,108,84,60,12,540,180,180,36,36,60,36,60,36
,36,60,36,108,36,108,108,36,60,12,36,108,60,12,12,12,12,12,60,12,12,12,12,12,
12,4,108,36,36,24,12,36,36,36,36,24,12,60,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,4,4,4,4,4,36,12,12,12,12,12,12,12,12,12,4,4,4,4,4,4,4,4,4
,12,4,4,4,4,4],[24324300,102060,2700,4140,34020,3780,180,420,780,108,300,324,
68,108,180,36,84,2520,216,60,12,180,180,180,12,20,36,4,60,36,36,60,36,36,20,60
,36,36,60,12,36,12,630,90,54,30,30,18,18,10,18,8,8,6,8,8,60,240,12,4,4,16,48,
72,48,32,4,4,36,36,24,12,12,12,4,24,12,60,30,12,6,12,12,6,6,20,4,6,4,2,20,6,2,
30,6,6,6,8,8,2,2,2,6,2,2,2,2,6,6,6,6,6,6,6,2,2,2,6,4,4,4,4,8,4,4,36,36,4,4,16,
12,12,24,12,18,4,4,6,12,4,4,4,4,4,4,12,12,4,4,6,4,4,2,2,2,2,2,6,4,2,12,4,4,2,2
,12,2,2,16,2,2,6,6,2,2,2,2,2,2,6,2,2,2,12,2,2,6,2,2,4,2,4,2,2,2,2,2,2,2],[
24324300,124740,1620,6300,68040,3780,540,1200,1740,228,468,216,104,396,144,36,
1260,180,60,20,1080,180,216,48,104,96,40,540,108,44,180,108,36,36,36,36,120,
630,90,126,30,30,18,18,18,30,12,8,10,4,4,4,60,60,20,12,12,16,48,36,36,20,16,16
,540,108,36,96,40,36,36,36,36,30,12,6,12,8,6,6,4,14,4,2,4,10,4,6,30,12,18,30,
18,8,4,6,10,6,10,10,10,4,4,6,6,6,18,6,18,6,6,14,6,2,2,10,4,4,4,36,12,16,12,12,
16,12,12,6,4,2,36,36,6,8,2,2,2,4,4,12,12,4,2,18,4,4,6,6,6,10,6,6,2,6,6,4,2,4,4
,2,6,4,4,6,6,10,6,6,2,2,2,4,4,6,6,4,2,4,2,2,2,4,4,2,2,2,2,2],[24324300,56700,
2700,1980,34020,180,180,420,36,252,180,12,108,36,1260,36,240,32,180,180,12,12,
36,36,36,30,30,6,6,6,6,6,6,6,6,6,90,18,18,18,180,60,60,20,20,32,12,12,4,24,12,
12,12,12,6,2,36,12,60,4,4,4,6,6,6,6,6,6,6,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,24,12
,12,20,4,12,12,12,18,18,12,12,4,6,2,2,2,2,2,18,12,12,12,4,6,6,4,4,6,2,2,2,2,2,
2,2,6,6,6,6,6,6,2,2,2,2,6,4,2,2,2,2,2,2],[24324300,56700,2700,4860,34020,180,
420,420,132,252,180,28,108,144,72,36,72,120,24,180,180,24,28,12,8,36,16,36,36,
24,72,30,8,30,6,6,6,6,12,12,6,6,6,4,4,6,6,90,18,18,18,60,60,12,12,24,4,12,8,24
,12,12,12,12,6,2,36,12,8,4,12,12,4,4,4,4,6,4,4,4,8,6,6,6,6,6,6,30,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,24,12,12,12,4,12,12,12,18,18,4,6,2,2,2,2,2,6,2,2,2,6,2,2,2,18,
12,12,4,6,6,4,4,4,4,4,6,2,2,2,2,2,2,2,6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,6,4,
2,2,2,2,2,2,2,2,2,2],[22239360,51840,288,2880,108,2880,12,48,12,3,3,3],[
21621600,60480,1440,604800,20160,60480,480,480,480,2880,480,480,20160,60480,
2880,480,2880,480,480,2880,480,480,480],[21621600,60480,1440,302400,2520,864,
30240,840,240,480,72,24,1440,72,240,24,24,288,30240,840,96,72,24,96,72,24,240,
24,96,72,24,24,24,24],[21621600,60480,1440,5040,432,1680,480,64,144,144,32,48,
144,1680,48,16,48,16,48,48,16,16,16],[21621600,60480,1440,5040,432,30240,840,
240,480,72,24,144,240,24,24,144,840,180,108,24,12,72,24,24,24,12,36,24,24,12,
12,12],[21621600,60480,1440,302400,432,108,30240,840,240,480,72,24,1440,108,
240,24,24,108,30240,108,12,24,12,108,96,24,240,12,108,12,24,12,12,12],[
21621600,60480,1440,2520,216,540,30240,840,240,480,72,24,108,72,240,24,24,36,
180,54,60,36,12,12,6,108,24,24,12,12,18,12,12,12,12,6,6],[21621600,60480,1440,
302400,2520,864,60480,480,480,480,1440,72,480,480,288,30240,180,144,24,1440,72
,480,240,12,72,36,240,12,24,12],[21621600,60480,1440,15120,432,60480,480,480,
480,144,480,480,432,1800,240,72,12,144,480,24,72,24,240,12,12],[21621600,30240
,1440,480,302400,2520,864,30240,80,96,96,48,16,192,72,96,16,16,288,30240,20,72
,8,12,72,32,16,96,4,72,8,16,4,4,4],[21621600,960,1440,324,432,240,32,32,16,16,
12,8,16,18,12,10,8,4,4,8,2,4,2,8,2,2],[21621600,120960,4320,151200,1260,30240,
720,1440,2520,216,10080,1260,432,36,720,36,720,72,72,1260,720,36,144,144,36,36
,72,1260,36,36,144,36,1260,36,36,36,36,36,36,36,36],[21621600,120960,4320,
151200,1260,840,1440,216,2520,216,10080,1260,432,36,720,36,72,72,48,1260,48,12
,144,48,36,12,24,1260,36,36,24,12,1260,36,12,36,12,12,36,12,12],[21621600,
30240,4320,1440,108,30240,288,288,240,48,36,36,108,288,48,48,36,108,36,36,48,
36,36,36,36,12,12,36,36,36,36,12,12,12],[21621600,60480,1440,378000,5040,60480
,480,480,480,2160,144,144,480,480,5040,30240,360,2160,144,48,48,48,480,144,240
,24,48,48,360,144,240,24,48,24,24],[21621600,60480,1440,75600,2520,216,30240,
840,240,480,72,24,720,144,216,72,240,24,24,72,840,24,360,216,24,72,72,48,24,24
,24,72,24,24,24,24,24,24,72,24,24,24,24,24],[21621600,60480,1440,378000,5040,
30240,840,240,480,72,24,2160,144,144,240,24,24,5040,30240,360,360,120,72,48,48
,24,24,24,144,240,24,24,24,24,360,48,24,24,24,24,24],[21621600,100800,800,
75600,2520,216,8400,800,80,1200,80,80,72,24,8,800,80,72,840,24,240,80,80,8,8,
80,24,8,80,8,8,8,80,80,24,8,8,8,80,8,8,8],[21621600,302400,1440,378000,5040,
30240,25200,240,1440,3360,38640,5040,72,2520,240,1440,3360,240,240,5040,30240,
360,360,72,2520,72,24,360,24,240,5040,240,3360,360,360,24,240,24,72,24,24,24,
360,240,240,24,360,24,24,24],[21621600,181440,3360,75600,2520,216,90720,8400,
720,1440,3360,5040,840,360,168,72,1080,120,720,480,3360,240,240,72,840,24,1080
,24,360,120,72,72,360,24,240,72,24,24,840,120,24,360,24,120,72,24,24,24,24,24,
24,120,24,24,24,24,24],[21621600,211680,1440,1440,378000,5040,30240,7560,288,
96,168,2520,24,30240,5040,240,120,360,288,96,72,2520,24,24,24,24,5040,30240,
360,360,24,360,96,24,24,72,360,24,24,5040,48,2520,360,24,360,24,96,24,24,24,24
,24,360,48,24,24,360,24,24,24],[21621600,90720,1440,3360,378000,5040,30240,
2520,288,96,216,840,72,6720,240,456,48,1080,192,96,72,840,72,24,24,24,5040,
30240,360,360,72,72,24,48,24,8,24,24,48,120,24,840,72,8,8,8,96,24,24,24,8,8,
360,8,24,8,8,24,24,8],[21621600,60480,5280,378000,5040,30240,240,480,192,240,
96,1680,600,48,1800,96,240,32,96,16,16,5040,30240,360,360,24,32,24,24,24,40,8,
24,16,48,120,24,96,8,8,8,240,24,8,24,8,8,360,8,16,8,8,24,24,8],[21621600,90720
,3360,1440,75600,2520,216,90720,840,288,288,72,840,72,840,560,72,72,24,1080,24
,288,24,840,72,24,24,24,72,840,24,1080,24,72,72,8,24,8,24,24,24,24,8,840,24,8,
8,8,24,72,8,24,8,8,24,8,24,8,8,24,8,8],[21621600,30240,480,5280,75600,2520,216
,840,320,192,96,32,72,2520,24,80,360,216,72,8,360,96,24,32,24,120,24,8,8,24,72
,840,24,24,8,24,32,24,8,8,8,360,24,8,72,8,8,120,8,24,24,8,24,8,8,8,24,8,24,8,8
,8,24,8,8,8],[21621600,120960,2880,1440,75600,2520,216,8400,80,480,192,96,32,
96,5040,480,24,72,8,24,360,96,120,480,16,32,48,16,72,840,24,24,8,360,96,24,24,
8,8,8,24,16,24,24,8,8,24,8,8,8,120,8,24,8,8,24,24,8,8,8,8,8,24,8],[21621600,
60480,2880,2400,75600,2520,216,840,80,480,192,96,32,72,840,72,1680,480,120,72,
72,24,360,96,72,16,24,40,24,24,8,24,72,840,24,24,8,96,24,24,8,8,24,8,24,8,24,
12,12,40,24,8,8,4,24,8,4,4,4,8,24,12,8,4,8,4,4,4],[21621600,30240,480,5280,
75600,2520,216,840,320,192,96,32,72,840,72,80,120,216,24,12,360,96,24,32,24,40
,24,24,8,24,72,840,24,24,8,24,32,24,8,8,8,8,24,8,4,12,8,40,24,4,4,4,24,8,8,4,8
,4,24,4,8,4,4,4,8,4],[21621600,60480,5280,75600,2520,216,840,320,480,216,72,96
,1680,216,32,12,360,96,72,24,24,32,16,16,72,840,24,24,8,24,24,24,8,8,8,8,24,8,
4,12,8,32,4,4,4,24,4,4,8,8,8,24,4,8,4,4,8,4,4],[21621600,90720,1440,3360,
302400,630,216,30240,2520,288,96,216,840,72,6720,210,288,18,72,192,54,96,72,
840,72,24,24,24,72,30240,18,18,18,54,48,6,18,18,6,24,72,12,12,840,72,18,18,6,
96,18,6,6,6,6,18,12,24,6,18,6,6,6],[21621600,30240,1440,4320,302400,630,216,
30240,96,96,32,96,72,96,30,384,18,12,12,192,60,18,96,8,96,8,8,72,30240,18,18,6
,6,6,6,4,16,2,2,6,8,4,24,12,96,2,2,2,96,2,6,6,2,2,18,4,8,2,2,6,6,2],[21621600,
30240,1440,4320,5670,108,30240,96,96,32,96,72,96,30,18,12,60,6,60,18,6,96,8,96
,8,8,108,360,9,18,6,6,6,6,4,2,2,2,6,8,6,12,6,3,8,1,2,2,3,2,6,6,2,2,9,2,1,2,1,3
,3,1],[21621600,90720,3360,1440,3150,108,90720,840,288,288,72,840,72,840,90,
114,36,54,24,288,24,840,72,24,24,24,36,840,6,54,6,18,18,18,24,18,6,24,36,6,6,
840,24,6,18,6,24,6,18,6,6,6,6,6,24,6,6,6,6,6],[21621600,60480,3840,1440,3150,
108,840,480,320,72,32,96,210,132,6,36,90,12,24,32,32,8,24,36,840,6,6,2,30,2,12
,6,2,18,6,8,36,6,6,32,6,6,2,24,2,2,2,6,2,6,6,8,2,6,2,2,2],[21621600,30240,1440
,4320,3150,108,840,240,96,32,32,72,32,96,90,30,36,12,18,36,24,8,24,8,12,4,8,36
,840,6,6,2,18,6,6,4,6,2,6,4,4,12,24,8,2,2,2,24,6,2,2,2,6,6,4,4,2,2,2,6,2],[
21621600,30240,1440,4320,630,54,216,840,240,96,32,32,72,32,96,90,6,12,6,12,6,
18,12,6,24,8,24,8,12,4,8,9,24,3,6,2,18,2,6,4,6,2,2,6,4,1,3,3,1,4,1,2,2,3,6,2,2
,2,6,3,1,1,2,1,1,3,1],[21621600,60480,5280,302400,630,216,30240,720,480,96,72,
96,210,180,384,72,6,1440,60,18,240,24,96,24,24,72,30240,18,18,6,60,96,18,6,6,6
,18,6,24,72,24,24,96,18,18,6,240,6,6,6,6,6,18,24,24,6,18,6,6,6],[21621600,
120960,4320,378000,5040,30240,2520,240,1440,216,840,72,8400,504,48,2520,240,72
,840,72,24,24,24,5040,30240,360,360,72,168,24,24,8,24,24,48,240,840,72,8,8,4,
240,24,12,24,4,4,360,24,24,4,8,24,24,4],[21621600,60480,5280,75600,2520,216,
840,320,480,216,72,3360,1680,480,216,72,360,96,72,24,24,160,48,240,72,840,24,
24,8,24,24,72,24,8,8,360,24,24,72,12,12,160,24,24,8,24,4,4,4,24,4,24,12,24,4,
24,4,4,4],[21621600,120960,4320,75600,2520,216,90720,840,720,1440,72,840,72,
1680,840,216,24,12,1080,72,720,24,840,72,24,24,24,72,840,24,1080,24,72,72,8,24
,8,24,24,4,24,12,840,24,4,8,4,24,72,4,24,4,4,24,4,24,4,4,24,4,4],[21621600,
120960,4320,75600,2520,216,8400,320,480,144,72,840,72,5040,120,168,24,12,360,
96,120,480,24,160,48,24,72,840,24,24,8,360,24,24,12,24,8,8,24,24,4,24,12,40,24
,4,8,4,120,24,4,4,4,24,24,4,12,4,4,4,24,4],[21621600,30240,1440,4320,378000,
5040,30240,96,96,32,96,72,96,240,552,48,360,288,96,8,96,8,8,5040,30240,360,360
,24,24,24,8,8,24,8,24,8,48,48,96,8,8,4,96,24,4,24,4,4,360,8,8,4,8,24,24,4],[
21621600,90720,1440,3360,75600,2520,216,80,1120,96,288,16,80,16,1680,840,240,
144,24,12,720,48,72,96,16,40,8,8,8,16,72,20,2,8,16,48,48,16,48,8,24,8,8,8,4,24
,12,20,4,2,4,4,4,16,8,4,8,4,2,4,4,4,2,2,2,2],[21621600,30240,3360,2400,75600,
2520,216,840,80,96,96,32,72,32,96,560,72,72,8,24,360,96,24,24,8,8,24,12,4,8,72
,840,24,24,8,24,24,8,8,16,4,8,24,4,24,8,8,8,24,8,8,4,24,8,4,8,4,4,24,4,4,4,8,8
,8,4],[21621600,6240,75600,108,108,288,160,80,16,240,12,6,12,144,6,64,16,8,16,
27,1,1,16,48,16,2,8,8,8,3,3,3,1,1,1,4,1,16,4,8,4,1,1,1,4,1,1,1,1],[21621600,
30240,1440,4320,302400,108,27,30240,96,96,32,96,72,96,384,3,3,3,12,192,27,3,96
,8,96,8,8,27,30240,27,27,3,16,3,1,3,3,1,3,3,8,3,3,3,96,3,3,1,96,3,1,3,1,1,27,1
,8,1,3,3,3,1],[21621600,30240,1440,4320,75600,108,108,30240,96,96,32,96,72,96,
240,168,12,6,12,360,96,6,96,8,96,8,8,27,27,9,360,24,24,24,8,8,8,2,8,24,8,3,3,3
,3,3,1,8,4,3,24,4,24,4,4,9,1,1,4,1,3,3,1],[21621600,30240,1440,4320,351,30240,
96,96,32,96,72,96,15,3,21,27,9,96,8,96,8,8,108,27,27,3,3,1,3,3,3,3,3,8,12,6,3,
3,3,1,3,3,1,3,1,1,27,2,1,1,3,3,3,1],[21621600,30240,1440,4320,351,30240,96,96,
32,96,72,96,15,3,21,27,9,96,8,96,8,8,108,27,27,3,3,1,3,3,3,3,3,8,12,6,3,3,3,1,
3,3,1,3,1,1,27,2,1,1,3,3,3,1],[21621600,1920,4320,75600,2520,216,320,96,64,32,
80,16,320,120,144,24,12,144,24,16,16,80,8,8,8,8,72,20,2,32,16,16,16,8,8,8,8,4,
12,8,20,4,2,4,4,4,8,8,8,4,4,2,4,4,4,2,2,2,2],[21621600,60480,4800,480,75600,
2520,216,80,160,384,48,80,16,840,800,72,24,720,48,24,16,32,40,16,8,8,8,72,20,2
,8,16,96,24,24,8,8,8,24,24,8,20,4,2,4,4,4,8,16,4,4,8,2,8,4,4,2,2,2,2],[
21621600,30240,4320,1440,75600,2520,216,320,288,64,80,16,1680,720,120,72,24,
144,72,64,80,16,16,16,72,20,2,32,144,32,24,8,8,16,24,12,12,20,4,2,8,4,32,8,8,8
,2,12,4,8,2,2,2,2],[21621600,120960,4320,302400,630,216,30240,2520,240,1440,
216,840,72,6720,210,288,18,12,1440,54,240,72,840,72,24,24,24,72,30240,18,18,18
,96,6,18,6,2,6,24,4,24,12,840,72,2,2,2,240,6,6,6,2,2,18,4,24,2,2,6,6,2],[
21621600,120960,4320,75600,2520,216,30240,2520,240,1440,216,840,72,1680,840,
216,24,12,1080,72,240,72,840,72,24,24,24,72,180,18,360,72,72,24,24,24,8,24,24,
4,24,12,60,4,2,8,4,12,24,12,24,4,4,9,4,4,4,1,3,3,1],[21621600,120960,4320,3150
,108,90720,840,720,1440,72,840,72,1050,42,12,126,720,24,840,72,24,24,24,36,840
,6,54,6,18,42,2,2,6,24,4,12,840,24,2,2,2,24,18,2,6,2,2,6,4,24,2,2,6,2,2],[
21621600,120960,4320,75600,108,108,8400,320,480,144,72,840,72,5040,168,12,6,12
,360,96,6,480,24,160,48,24,27,12,6,24,8,360,24,24,24,8,2,8,24,24,3,3,3,4,2,2,8
,4,6,24,4,4,4,24,3,1,2,4,1,1,3,1],[21621600,120960,4320,3150,108,30240,2520,
240,1440,216,840,72,1050,42,12,126,240,72,840,72,24,24,24,36,180,27,18,18,6,42
,6,2,6,24,4,12,60,4,3,2,2,12,6,6,6,2,2,9,4,4,2,1,3,3,1],[21621600,60480,1440,
75600,10080,864,60480,480,480,480,720,144,480,480,288,1440,240,144,24,720,48,
48,48,480,48,48,72,24,240,24,48,24],[21621600,60480,1440,75600,432,432,30240,
840,240,480,72,24,720,144,240,24,24,108,108,48,36,24,12,12,360,24,72,48,24,24,
24,24,24,24,36,12,12,12,12,24,12],[21621600,302400,5280,151200,1260,38640,5280
,720,20160,1260,480,36,2880,96,36,5280,720,1260,480,12,96,2880,480,96,96,36,12
,720,1260,36,180,12,36,96,480,96,96,12,180,12,12,36,12,36,12,36,12,96,12,36,12
,12,12,12],[21621600,120960,960,7200,151200,1260,840,720,1440,192,96,96,360,
216,10080,1260,180,432,12,36,720,180,36,12,48,48,48,72,72,1260,48,12,36,12,180
,144,36,36,48,12,12,12,12,36,12,24,1260,36,180,12,36,12,12,12,12,12,24,12,36,
180,12,12,36,12,36,12,36,12,12,12,36,12,12,12,12],[21621600,181440,7200,151200
,1260,30240,7560,1200,2400,648,216,13440,1260,576,36,1440,288,36,1200,216,216,
1260,720,36,96,48,720,192,192,144,48,36,36,48,216,1260,36,60,36,36,48,192,36,
48,48,48,60,36,12,12,36,36,36,12,12,48,36,12,12,12,12,12],[21621600,120960,
2880,5280,151200,1260,30240,960,1440,192,480,96,96,10080,1260,60,432,36,36,720
,60,36,36,720,192,48,96,48,1260,720,36,12,12,60,144,144,12,12,12,36,12,12,36,
36,48,1260,36,60,36,36,12,144,12,36,12,12,12,12,60,36,12,12,36,36,36,12,12,12,
36,12,12,12,12,12],[21621600,60480,5760,3360,75600,630,54,30240,480,480,384,
672,96,96,210,960,90,96,54,18,6,18,720,144,30,54,18,18,240,384,48,96,48,18,360
,54,18,48,24,6,6,96,30,24,168,24,48,18,6,18,18,6,6,6,6,18,18,48,18,18,6,6,6,6,
18,24,6,96,24,48,24,6,6,18,6,6,6,18,6,6,6,6,6,18,18,18,6,6,6,6,24,6,18,6,6,6,6
,6,6,6],[21621600,100800,1920,6560,75600,630,54,2520,400,1120,384,96,96,440,
168,3360,210,320,150,240,18,18,14,6,6,480,176,50,18,42,6,2,48,48,96,72,56,18,
32,18,16,24,16,14,2,6,120,128,32,50,48,24,24,24,42,14,56,8,18,6,6,6,14,16,6,2,
6,6,2,24,18,6,2,6,6,6,6,2,2,6,2,8,6,8,16,16,8,32,18,6,6,6,8,8,6,14,2,6,6,2,2,2
,2,6,2,2,2,2,6,2,2,2,6,2,2,2,6,2,2,2,8,6,2,6,2,2,2,2,2,2,2,2,2,2],[21621600,
100800,1440,151200,1260,480,4200,120,10080,1260,144,12,240,12,240,24,24,1260,
48,12,240,12,48,12,24,1260,12,12,48,12,1260,12,12,12,12,12,12,12,12],[21621600
,10080,1440,1440,108,96,96,240,16,36,12,36,16,16,36,12,4,12,8,12,36,12,4,12,4,
12,4,4,4,4],[21621600,221760,1440,151200,1260,20160,1440,192,16800,1260,144,12
,1680,12,1440,48,1260,144,1680,144,12,12,12,48,1260,12,120,12,144,12,24,120,12
,12,12,12,12,12,12,12],[21621600,100800,3360,151200,1260,480,480,48,72,1680,
144,10080,1260,120,144,12,240,120,12,24,240,24,1260,12,120,48,12,12,12,240,48,
24,1260,12,120,12,12,48,24,120,12,12,12,12,12,12,12,12],[21621600,100800,960,
2400,151200,1260,240,480,64,96,32,1680,32,10080,1260,60,144,12,12,240,60,12,12
,16,240,32,1260,4,60,48,4,12,4,4,12,240,48,16,1260,12,60,12,12,4,48,4,60,12,4,
12,4,12,4,12,4,4],[21621600,100800,1920,1440,151200,1260,480,256,32,1680,144,
10080,1260,144,24,12,240,12,24,32,240,16,1260,4,48,4,4,24,12,240,48,16,1260,12
,24,12,4,48,24,24,4,12,4,12,4,12,4,4],[21621600,161280,2400,151200,1260,7560,
800,216,48,32,13440,1260,192,12,960,96,12,72,32,24,1260,32,720,64,48,16,12,12,
12,8,1260,12,60,12,12,16,12,4,60,12,4,12,4,12,4,12,4,4],[21621600,100800,3360,
151200,1260,160,480,144,72,192,10080,1260,240,12,240,192,12,24,24,16,1260,16,
48,16,48,12,16,12,12,8,1260,12,24,12,8,12,24,24,4,12,4,12,4,12,4,4],[21621600,
10080,1440,3360,108,96,32,48,72,48,32,36,12,2,36,6,8,8,16,36,6,12,2,2,2,2,6,4,
12,36,2,12,2,2,8,2,2,12,2,2,4,2,2,2],[21621600,10080,1440,1440,108,96,720,48,
36,12,36,720,48,48,36,12,48,12,36,12,36,12,12,36,12,12,12],[21621600,10080,
1440,1440,108,96,240,80,36,12,36,48,48,32,16,32,36,12,16,12,36,12,12,20,12,12,
12,8,4,8,4],[21621600,120960,6240,151200,1260,30240,1200,1440,48,72,48,10080,
1260,120,432,36,720,120,36,720,24,48,24,24,1260,720,36,12,120,144,144,12,12,36
,36,12,12,24,1260,36,120,36,12,12,144,36,12,12,12,12,120,12,36,36,36,12,12,12,
36,12,12,12,12,12],[21621600,241920,4320,151200,1260,30240,20160,720,2400,1680
,16800,1260,432,36,2160,36,720,1440,1680,240,240,1260,720,144,36,1680,240,144,
36,36,240,48,240,1260,36,120,36,240,48,144,144,36,48,48,48,120,12,36,36,36,12,
12,48,36,12,12,12,12,12],[21621600,90720,4320,2400,75600,630,54,30240,2520,480
,288,168,840,24,3360,720,150,72,54,18,18,360,96,54,54,288,72,840,24,24,24,24,
18,360,54,18,24,18,120,96,72,72,42,24,18,30,18,18,120,6,24,6,24,18,18,6,6,18,
120,24,6,6,72,24,18,18,18,24,6,24,6,24,6,6,6,18,18,18,6,6,6,6,24,6,18,6,6,6,6,
6,6,6],[21621600,10080,2400,5600,75600,630,54,80,96,32,64,80,72,32,840,24,400,
90,216,18,18,16,6,6,120,128,20,18,6,12,2,8,8,24,8,4,4,24,18,8,8,2,2,2,24,8,16,
6,8,16,2,6,4,4,2,8,6,2,6,2,2,120,6,24,6,4,18,6,2,4,4,6,2,8,2,8,2,4,4,2,2,2,4,2
,24,6,4,2,4,2,2,6,2,2,2,2,2,6,6,2,4,2,6,2,2,2,2,2,2],[21621600,120960,6240,
151200,1260,840,160,1440,360,72,1680,10080,1260,528,36,720,192,36,72,24,80,48,
240,1260,48,12,16,144,16,48,48,36,16,12,240,48,24,1260,36,24,36,16,16,24,8,12,
8,48,8,24,4,12,36,12,4,12,8,12,12,4,4,4,4],[21621600,120960,1920,4320,151200,
1260,840,1440,256,216,32,48,10080,1260,432,24,36,720,36,24,72,32,16,8,24,1260,
48,12,4,144,48,4,4,24,36,12,12,12,8,1260,36,24,36,4,4,4,24,12,4,12,4,24,4,12,
36,12,4,12,4,12,12,4,4,4,4],[21621600,30240,4320,3360,108,30240,288,288,32,48,
72,48,36,36,2,108,6,288,8,48,8,8,36,108,6,36,2,36,2,2,2,6,8,36,36,2,36,2,2,36,
2,6,2,2,2,2,36,36,36,2,2,2,36,2,2,2,2,2],[21621600,221760,3360,151200,1260,
20160,480,1440,48,72,2520,72,16800,1260,120,144,12,1680,120,12,1440,24,240,48,
24,1260,144,12,1680,120,144,12,12,12,24,1260,12,120,120,12,144,12,1260,12,120,
120,12,12,12,12,12,120,12,12,12,12,12],[21621600,161280,1920,2400,151200,1260,
7560,800,256,216,32,144,13440,1260,192,24,12,960,96,12,24,72,32,48,8,24,1260,
32,4,720,64,48,16,4,4,24,12,8,1260,12,60,24,12,12,4,16,24,60,24,12,4,4,12,4,4,
8,4,12,4,4,4],[21621600,100800,5280,151200,1260,640,480,192,144,32,10080,1260,
120,240,12,240,192,120,12,48,16,32,1260,16,12,120,48,16,12,12,48,12,16,16,1260
,12,120,24,12,8,12,4,120,24,12,4,12,12,4,4,4,12,4,4],[21621600,221760,1920,
1440,151200,1260,20160,1440,256,32,32,16800,1260,144,24,12,1680,12,24,1440,32,
32,32,1260,144,4,1680,144,4,4,24,12,32,1260,12,120,24,12,144,4,4,120,24,12,4,
12,12,4,4,4,12,4,4],[21621600,100800,1920,3360,151200,1260,160,480,256,144,72,
32,2520,72,10080,1260,240,24,12,240,192,12,24,32,24,48,8,24,1260,16,4,48,16,48
,4,4,24,12,16,8,1260,12,24,24,12,4,8,1260,12,24,24,4,4,12,4,4,24,4,12,4,4,4],[
21621600,100800,960,4320,151200,1260,400,480,64,96,32,144,72,144,10080,1260,60
,240,12,12,240,192,60,12,12,16,24,16,8,24,1260,16,4,60,48,16,48,4,12,4,4,12,16
,8,1260,12,60,12,24,12,4,8,24,60,12,4,24,4,12,4,4,8,4,12,4,4,4],[21621600,
221760,960,2400,151200,1260,20160,240,1440,64,96,32,144,16800,1260,60,144,12,
12,1680,60,12,12,1440,16,48,48,16,1260,144,4,1680,60,144,4,12,4,4,12,16,1260,
12,60,120,12,12,144,4,24,120,60,12,4,12,12,12,4,8,12,4,12,4,4],[21621600,
161280,4320,151200,1260,7560,480,800,264,72,144,13440,1260,120,192,12,960,96,
120,12,72,24,48,16,16,1260,32,12,720,120,64,12,12,48,16,12,8,1260,12,120,60,12
,12,16,12,24,60,120,12,4,12,12,12,4,8,12,4,12,4,4],[21621600,161280,960,3360,
151200,1260,7560,240,800,64,96,32,216,2520,72,13440,1260,60,192,12,12,960,96,
60,12,12,16,72,120,24,24,8,24,1260,32,4,720,60,64,48,16,4,12,4,4,12,8,1260,12,
60,60,12,12,12,4,16,1260,12,60,60,12,4,12,4,12,4,4,60,12,4,4,12,4,4,4],[
21621600,10080,1440,5280,108,96,64,96,144,240,16,36,12,4,36,12,16,24,8,16,36,
12,12,4,4,4,8,12,36,4,12,4,12,4,4,4,12,4,4,4,4,4,4],[21621600,60480,4480,1440,
1260,27,480,256,192,64,32,420,48,12,15,3,36,16,7,32,24,16,16,16,8,9,4,3,12,4,
16,12,7,3,8,9,1,3,3,3,3,1,4,3,1,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[21621600
,161280,480,378000,5040,30240,10080,80,480,1680,13440,2400,48,48,80,480,1680,
80,80,5040,30240,360,360,288,48,8,480,48,80,240,48,1680,80,8,48,8,48,8,8,360,
24,80,8,48,8,8],[21621600,40320,2400,75600,2520,216,840,480,320,160,24,48,16,
480,240,72,24,160,8,16,8,8,72,840,24,24,48,24,16,32,8,48,8,16,24,16,8,8,8,16,
16,8,8,24,8,8,8,16,8,8],[21621600,40320,2400,378000,5040,30240,240,160,48,24,
48,192,960,240,48,80,8,48,8,8,5040,30240,360,360,48,16,24,24,32,48,8,48,48,48,
80,8,8,8,48,8,8,360,8,8,8,48,8,8],[21621600,100800,1440,75600,2520,216,90720,
840,240,480,24,840,24,840,8,1200,144,72,24,240,8,840,24,8,8,8,72,840,24,1080,
24,24,48,24,8,24,24,8,24,8,24,840,8,8,8,24,8,24,24,8,8,8,24,8,8,8,24,8,8,8],[
21621600,40320,2400,75600,2520,216,840,160,160,72,24,1680,240,480,240,72,24,8,
8,80,16,80,72,840,24,24,72,16,24,16,24,48,8,24,24,80,8,8,8,8,16,8,8,24,24,8,8,
8,8,8],[21621600,60480,2080,75600,2520,216,3360,160,160,48,24,840,24,120,8,720
,208,40,4,160,8,80,16,8,72,840,24,96,48,16,24,16,4,24,24,8,12,8,4,40,8,40,4,16
,8,16,8,8,24,4,4,8,8,4,4,4],[21621600,100800,1440,378000,5040,30240,2520,80,
480,72,840,24,6720,96,1680,144,48,80,24,840,24,8,8,8,5040,30240,360,360,72,72,
48,8,32,24,24,8,120,24,48,840,24,80,8,8,24,24,24,8,8,8,360,8,8,8,24,24,8,8],[
21621600,120960,1120,75600,2520,216,90720,3360,240,480,1680,840,120,1440,112,
40,4,240,160,1680,80,80,72,840,24,1080,96,48,24,40,48,80,24,12,4,840,40,40,4,
16,24,48,8,8,24,4,40,8,24,4,4,4],[21621600,90720,480,1120,302400,630,216,30240
,2520,96,32,72,840,24,6720,96,64,70,54,6,4,32,24,840,24,8,8,8,72,30240,18,18,
18,18,6,2,16,6,6,8,24,12,4,840,24,32,2,2,6,6,6,2,2,2,18,4,8,2,6,6,2,2],[
21621600,90720,1120,480,3150,108,90720,840,96,96,24,840,24,840,24,30,54,22,4,
96,8,840,24,8,8,8,36,840,6,54,6,6,6,6,8,6,6,8,6,6,4,840,8,8,2,6,2,6,6,2,2,2,6,
2,8,2,6,2,2,2],[21621600,60480,2080,75600,2520,216,800,320,160,160,840,120,720
,208,40,4,560,160,160,80,80,72,20,2,80,16,32,40,16,80,24,12,4,20,20,20,2,56,16
,16,8,8,2,4,20,8,2,2,2,2],[21621600,40320,480,378000,5040,30240,80,160,1680,
160,960,48,48,80,160,80,5040,30240,360,360,16,8,480,48,16,80,48,80,8,8,16,8,
360,24,80,8,8,8],[21621600,40320,480,75600,2520,216,840,160,24,48,160,480,48,
72,24,8,160,8,72,840,24,24,24,16,24,48,16,8,24,8,8,8,16,8,24,24,8,8,8,8],[
21621600,40320,480,378000,5040,30240,80,160,840,72,960,48,48,80,24,24,5040,
30240,360,360,16,8,120,8,96,24,48,80,8,8,8,8,360,24,24,8,8,8],[21621600,40320,
480,75600,2520,216,840,160,24,840,72,480,48,72,24,8,24,16,72,840,24,24,24,16,
120,8,24,8,24,8,8,8,8,8,24,24,8,8,8,8],[21621600,40320,5760,480,75600,2520,216
,840,160,384,24,32,144,960,144,48,480,48,72,24,8,32,48,8,24,72,840,24,24,24,16
,96,16,24,24,16,8,48,24,48,16,16,8,8,8,8,16,8,24,24,8,8,8,16,8,8],[21621600,
40320,6240,378000,5040,30240,80,160,192,288,144,864,96,960,48,48,80,32,144,16,
16,5040,30240,360,360,16,8,32,64,16,16,16,96,48,144,16,8,16,80,8,8,16,8,360,16
,16,8,8,16,8,8],[21621600,40320,2880,3360,75600,2520,216,840,240,160,192,96,32
,24,2520,72,480,360,144,72,72,24,480,48,72,24,16,8,120,24,24,8,24,72,840,24,24
,24,16,48,24,24,8,24,24,360,8,8,72,24,24,120,24,24,8,24,8,8,24,8,8,8,8,8,24,24
,8,8,8,24,8,8,8],[21621600,40320,6240,75600,2520,216,840,480,160,168,72,144,
288,48,24,480,48,72,24,8,24,48,16,16,72,840,24,24,24,16,48,16,8,24,8,16,8,8,24
,48,8,16,8,8,8,8,8,8,24,8,8,8,8,8,8,8],[21621600,60480,2880,3040,75600,2520,
216,3360,240,160,192,96,32,144,480,144,72,24,24,12,720,16,40,4,160,16,48,48,16
,72,840,24,96,16,48,24,24,8,8,4,16,16,24,4,4,24,24,8,4,16,8,40,4,16,8,8,24,4,8
,4,8,8,4,4,4],[21621600,221760,3360,378000,5040,30240,7560,80,1120,216,2520,72
,30240,5040,432,48,960,48,48,80,72,2520,72,24,24,24,5040,30240,360,360,16,8,
360,144,24,8,48,360,8,24,5040,48,48,2520,360,72,8,360,8,8,8,80,8,8,8,8,360,48,
24,8,8,360,8,8,8],[21621600,40320,6240,378000,5040,30240,560,160,144,72,144,
864,96,960,48,48,80,24,144,24,24,5040,30240,360,360,16,8,144,16,48,8,16,24,96,
48,144,16,16,8,80,8,8,8,8,360,48,24,8,8,16,8,8],[21621600,60480,5920,75600,
2520,216,3360,480,160,144,72,2520,72,360,288,72,24,12,720,16,40,4,160,24,240,
48,24,72,840,24,96,16,48,12,16,8,4,360,8,24,72,4,4,120,24,24,4,48,8,40,4,16,8,
8,24,4,12,4,8,24,4,4,4],[21621600,30240,3040,3360,3150,108,840,240,32,96,32,24
,32,144,108,36,36,12,30,18,10,4,8,8,24,24,12,4,8,36,840,6,6,6,2,6,6,4,6,4,18,2
,4,36,4,4,24,24,6,2,6,6,2,2,8,2,2,2,2,6,4,4,2,2,6,2,2,2],[21621600,2880,4000,
75600,2520,216,560,96,64,16,32,480,144,72,24,24,12,112,40,4,560,16,16,16,16,72
,20,2,56,16,16,8,8,4,16,16,24,4,4,4,4,2,2,8,8,20,2,56,8,8,2,4,4,2,8,2,2,2,2],[
21621600,30240,480,5920,302400,630,216,30240,32,32,32,144,72,144,180,576,72,12
,12,64,10,18,6,4,32,8,144,8,8,72,30240,18,18,2,2,18,6,4,16,2,4,18,2,8,72,4,4,
144,18,2,18,2,2,2,32,2,2,2,2,18,4,2,8,2,18,2,2,2],[21621600,70560,1440,2400,
378000,5040,30240,320,800,96,288,96,32,1680,240,96,2400,240,48,320,96,32,32,96
,5040,30240,360,360,80,8,48,48,16,32,24,24,8,32,120,24,48,320,96,8,8,24,24,8,8
,8,16,360,8,32,8,24,24,8,8],[21621600,100800,3360,75600,2520,216,3360,1120,192
,384,3360,144,480,48,72,168,96,128,72,840,24,24,24,72,16,120,32,48,24,24,48,24
,24,56,8,8,16,16,8,8,24,24,24,8,8,8,8],[21621600,131040,480,2400,75600,2520,
216,8400,1120,96,224,240,5040,80,96,480,48,120,72,24,24,480,96,32,96,80,72,840
,24,24,24,16,8,360,48,32,16,48,24,8,32,24,8,24,120,24,8,8,8,24,24,8,16,8,8,24,
8,8,8,24,8,8,8],[21621600,90720,480,3040,75600,2520,216,3360,1120,96,224,288,
1680,80,144,720,16,40,72,24,4,160,96,32,96,96,72,840,24,96,16,8,16,48,16,48,32
,32,12,8,4,40,24,24,4,16,32,16,16,16,24,4,8,16,8,4,4,4],[21621600,40320,2880,
1440,378000,5040,30240,160,160,192,288,32,32,480,48,960,432,48,80,192,16,32,16
,5040,30240,360,360,16,40,48,8,72,8,16,16,48,48,80,192,8,8,48,8,16,8,360,8,16,
8,48,8,8],[21621600,100800,3360,378000,5040,30240,2520,560,1120,216,72,3360,
144,3840,48,48,560,72,72,5040,30240,360,360,288,16,8,120,48,48,24,8,8,72,240,
48,560,8,8,48,8,8,8,360,24,72,8,48,8,8],[21621600,40320,960,3360,75600,2520,
216,840,240,160,192,32,32,168,72,160,144,480,48,72,24,48,16,16,48,8,24,72,840,
24,24,24,16,8,48,24,8,8,16,8,8,16,24,48,8,8,8,8,8,16,8,24,8,8,8,16,8,8],[
21621600,181440,2080,75600,2520,216,18480,2080,240,6720,96,720,16,160,72,4,
2080,240,72,840,24,96,16,24,720,96,16,16,240,24,12,4,160,24,4,16,96,16,16,24,4
,24,16,24,4,4,4],[21621600,60480,1920,2080,302400,630,216,30240,320,480,128,
224,32,32,210,30,18,6,1440,256,10,18,6,4,240,128,16,32,16,72,30240,18,18,32,2,
2,10,6,2,6,6,2,2,6,6,16,24,12,4,240,128,2,2,2,6,6,2,2,2,18,4,16,2,6,6,2,2],[
21621600,60480,640,3360,3150,108,840,240,480,128,32,32,168,72,210,90,6,6,30,90
,34,4,16,16,32,24,24,36,840,6,6,6,2,8,30,18,6,6,2,2,2,6,2,8,6,6,4,32,24,2,2,6,
2,2,2,2,6,6,2,8,2,6,2,2,2],[21621600,30240,3360,1120,75600,2520,216,560,224,
112,1680,560,112,40,72,24,4,560,112,112,72,20,2,56,8,112,56,112,12,8,4,20,4,4,
2,56,56,56,2,4,4,56,2,2,2,2],[21621600,40320,480,75600,2520,216,840,160,24,144
,32,480,48,72,24,8,32,24,72,840,24,24,24,16,16,16,24,8,8,24,8,8,8,16,8,24,8,8,
8,8,8,8],[21621600,40320,480,378000,5040,30240,80,160,144,32,960,48,48,80,32,
16,5040,30240,360,360,16,8,48,16,16,16,48,80,8,8,16,8,360,16,16,8,8,8,8],[
21621600,40320,480,75600,2520,216,840,160,24,840,8,480,48,72,24,8,80,8,72,840,
24,24,24,16,8,24,8,8,8,24,8,8,8,8,8,24,8,8,8,8,8,8],[21621600,40320,480,378000
,5040,30240,80,160,280,24,960,48,48,80,8,8,5040,30240,360,360,16,8,24,40,16,8,
48,80,8,8,8,8,360,16,8,8,8,8,8],[21621600,100800,1440,151200,1260,480,2800,144
,32,10080,1260,144,12,240,12,32,48,1260,48,12,16,4,16,4,16,1260,12,12,8,4,1260
,12,4,12,4,4,12,4,4,4],[21621600,100800,1440,151200,1260,480,280,360,10080,
1260,144,12,240,12,24,24,16,1260,48,12,16,4,16,4,8,1260,12,12,8,4,48,12,4,4,12
,4,4,4],[21621600,141120,7200,151200,1260,30240,840,720,2400,216,280,72,10080,
1260,720,60,1200,60,720,72,280,72,24,24,24,1260,720,48,36,12,240,144,48,36,60,
12,16,4,16,4,24,1260,60,60,16,8,4,4,144,36,24,12,16,4,8,4,8,4,36,12,60,36,12,4
,4,8,4,36,12,4,4,4,4,4,4],[21621600,30240,4320,4640,75600,630,54,30240,288,288
,32,80,72,80,720,90,216,54,18,12,18,6,360,32,20,54,18,2,288,8,80,8,8,18,360,54
,18,8,2,2,72,72,8,6,8,18,18,4,8,18,2,18,6,2,2,8,6,2,8,2,2,8,18,18,2,18,2,8,2,4
,6,2,2,72,4,2,18,18,2,8,2,2,4,2,2,2,4,2,18,2,18,18,2,2,2,2,2,2,4,2,18,2,2,2,2,
2,2,2],[21621600,100800,1920,3360,151200,1260,480,480,256,48,72,32,280,72,
10080,1260,120,144,24,12,240,120,12,24,32,24,16,8,24,1260,12,4,120,48,12,12,4,
4,24,12,16,4,16,4,8,1260,12,120,24,12,4,4,4,12,4,8,4,4,120,24,12,4,12,12,4,4,4
,4,12,4,4,4,4,4],[21621600,221760,3360,151200,1260,20160,160,1440,144,72,280,
72,16800,1260,240,12,1680,192,12,1440,24,80,48,24,1260,144,16,1680,144,16,48,
12,16,16,4,16,4,24,1260,12,120,24,12,16,8,144,8,8,8,4,16,120,24,12,4,12,12,4,4
,4,8,12,4,4,4,4,4],[21621600,70560,2400,3360,75600,630,54,2520,80,288,32,32,
168,32,80,3360,400,150,72,18,18,4,6,120,192,18,42,12,72,8,24,8,4,4,8,18,24,18,
8,2,120,96,24,8,8,42,24,16,2,18,4,2,6,8,6,2,8,2,2,4,18,6,6,6,4,4,6,8,2,4,2,24,
4,18,2,4,2,4,2,2,8,2,6,4,6,2,6,6,6,2,2,2,2,2,4,6,2,2,2,2,2,2,2],[21621600,
100800,960,2400,151200,1260,240,480,64,96,32,280,120,10080,1260,60,144,12,12,
240,60,12,12,16,16,24,24,16,1260,4,60,48,4,12,4,4,12,12,16,4,16,4,12,8,1260,12
,60,12,12,4,4,4,12,8,4,4,4,60,12,4,12,4,12,4,4,4,12,4,4,4,4,4],[21621600,
161280,2400,151200,1260,7560,800,216,1960,72,13440,1260,192,12,960,96,12,72,
400,72,1260,32,720,64,48,16,12,240,16,4,64,4,72,1260,12,60,12,12,16,64,16,4,16
,16,60,12,4,12,4,12,4,4,16,12,4,4,4,4,4],[21621600,40320,1920,2400,75600,630,
54,240,160,128,96,32,840,104,210,320,90,96,18,18,2,6,480,48,30,18,6,6,16,16,8,
24,32,18,16,2,32,30,24,24,8,6,6,2,2,2,6,120,6,8,6,2,32,6,2,2,8,18,6,6,6,2,2,6,
8,2,32,8,6,2,2,2,2,8,2,8,2,6,2,2,2,6,2,2,6,6,2,2,8,2,6,2,2,2,2,2,2,2],[
21621600,120960,4320,151200,1260,840,1440,216,144,32,10080,1260,432,36,720,36,
72,32,24,1260,48,12,144,48,36,12,8,1260,36,36,24,12,24,4,12,36,12,12,12,4,4],[
21621600,120960,4320,151200,1260,30240,720,1440,144,32,10080,1260,432,36,720,
36,720,32,16,1260,720,36,144,144,36,36,16,1260,36,36,144,36,24,4,36,36,36,36,4
,4,4],[21621600,10080,1440,1440,108,96,240,16,36,12,36,16,8,36,12,8,12,36,12,
12,4,12,4,4,4],[21621600,10080,1440,1440,108,96,240,16,36,12,36,16,24,36,12,8,
12,36,12,12,4,12,4,4,4],[21621600,100800,3840,3360,75600,630,54,2520,1120,320,
216,32,32,3360,210,640,144,36,14,12,6,480,48,18,42,12,72,32,32,8,8,18,18,16,2,
120,48,80,24,8,16,6,2,12,14,6,6,6,6,32,2,2,8,12,2,6,6,2,4,6,6,2,16,2,8,6,2,2,
32,2,8,2,8,4,2,2,2,6,2,6,2,2,6,2,2,8,2,2,6,2,2,2,2,2],[21621600,10080,3360,
5280,75600,630,54,80,32,96,64,96,72,32,840,8,560,60,168,36,16,12,6,120,192,30,
18,6,6,8,8,24,24,4,4,8,18,24,8,2,8,24,16,6,6,8,16,6,2,4,4,2,8,6,6,2,120,8,6,2,
2,4,12,2,6,6,4,2,6,24,8,4,4,2,2,4,8,6,2,2,4,2,2,2,4,2,2,2,6,2,6,2,2,6,2,4,2,2,
2,6,2,2,2,2,2],[21621600,100800,7200,151200,1260,2520,320,1120,360,72,1120,
5040,648,48,1320,144,12,72,24,160,48,80,1260,72,16,8,120,104,56,48,48,12,16,4,
120,40,4,24,48,90,18,12,24,8,12,8,8,4,4,8,32,12,4,8,8,12,4,12,4,6,2,2,6,4,4,8,
2,2,6,2,4,2,2,2],[21621600,10080,1440,7200,151200,1260,240,32,32,64,96,72,32,
280,24,90,576,18,48,240,90,12,18,8,8,24,8,12,4,8,1260,6,2,2,48,6,12,16,2,4,2,8
,8,12,4,6,16,4,6,4,48,90,18,12,6,2,2,2,2,2,2,2,2,2,6,8,4,2,8,12,4,12,4,6,2,2,6
,4,2,2,2,2,6,2,4,2,2,2],[21621600,120960,4320,151200,1260,30240,2520,240,1440,
216,840,72,5040,360,24,1800,144,36,240,72,840,72,24,24,24,1260,720,72,36,48,24
,120,120,24,24,32,4,120,16,4,24,24,24,90,18,36,120,8,8,16,4,4,24,24,12,8,24,4,
4,8,4,12,36,4,6,6,6,6,4,4,8,2,2,6,6,4,2,2,2],[21621600,120960,4320,151200,1260
,8400,320,480,144,72,840,72,5040,360,24,1800,144,36,480,24,160,48,24,1260,264,
12,48,8,360,24,56,24,16,12,16,120,16,4,24,24,24,90,18,36,32,8,12,4,48,24,8,4,4
,4,24,8,4,4,12,12,18,2,6,6,4,4,8,2,6,2,6,4,2,2,2],[21621600,70560,3360,1760,
75600,630,54,2520,80,96,96,32,56,32,96,3360,560,24,36,4,12,120,128,50,18,42,6,
2,24,8,24,24,4,4,8,18,8,18,8,14,2,6,120,32,8,24,8,8,16,6,2,4,2,6,6,8,6,2,24,4,
12,6,6,4,2,6,2,2,8,6,2,4,2,2,6,8,4,2,4,4,24,2,4,2,2,6,2,2,6,2,2,6,2,4,2,2,6,2,
2,2,2,2,2],[21621600,30240,1440,4320,75600,630,54,30240,96,96,32,96,72,96,240,
60,168,12,6,360,96,30,54,18,18,96,8,96,8,8,18,360,54,18,24,6,6,24,24,8,6,6,8,4
,8,6,2,6,8,6,2,24,8,2,6,6,6,18,6,8,2,2,4,6,2,6,24,4,2,24,4,4,2,2,2,18,2,6,6,6,
6,2,4,2,2,2,6,6,2,2,2,2],[21621600,40320,3840,1760,75600,630,54,160,160,320,32
,24,32,840,72,210,640,60,36,2,12,480,176,20,18,6,12,2,32,8,32,8,24,18,32,16,24
,16,2,2,2,20,80,6,2,16,6,2,12,2,6,120,8,6,2,6,8,12,6,6,2,4,6,2,32,2,2,8,2,8,16
,2,2,2,2,6,8,4,2,2,6,6,2,2,2,2,6,2,2,8,2,6,2,2,2,2,2,2],[21621600,30240,1440,
4320,1890,27,30240,96,96,32,96,72,96,60,3,36,3,3,30,27,54,18,3,96,8,96,8,8,27,
27,54,3,6,6,6,6,4,3,1,3,3,6,1,6,3,6,3,8,3,3,3,3,27,6,2,2,3,6,1,6,2,3,1,3,1,1,2
,1,1,27,3,3,3,3,3,3,1,2,1,1,3,3,3,1,1,1],[21621600,30240,1440,4320,151200,1260
,840,240,96,32,32,72,32,96,90,288,18,24,720,90,36,18,24,8,24,8,12,4,8,1260,48,
12,18,6,2,48,18,2,4,6,4,4,12,6,16,4,6,4,24,90,18,36,6,8,2,2,2,4,6,6,2,2,2,2,6,
2,4,4,12,12,18,6,2,6,4,2,2,2,6,2,6,4,2,2,2],[21621600,30240,1440,4320,151200,
1260,30240,96,96,32,96,72,96,90,288,18,24,720,90,36,18,96,8,96,8,8,1260,720,36
,6,6,6,6,12,16,6,6,4,4,4,6,16,4,6,8,24,90,18,36,6,16,2,2,2,4,6,2,2,6,6,2,2,2,4
,12,36,4,6,6,6,6,4,2,2,2,2,6,6,4,2,2,2],[21621600,120960,4320,75600,630,54,
30240,2520,240,1440,216,840,72,3360,210,144,18,6,720,144,54,54,240,72,840,72,
24,24,24,18,360,54,18,18,48,24,120,48,24,8,6,18,6,6,120,8,6,2,6,24,2,6,6,6,18,
120,8,8,8,6,2,2,24,6,8,6,6,2,2,8,2,2,18,2,6,6,6,6,2,2,8,2,2,6,6,2,2,2,2],[
21621600,5920,75600,2520,216,72,80,360,288,72,24,12,16,40,4,12,80,12,72,12,8,4
,8,12,72,4,4,20,2,4,8,4,4,6,2,4,2,2],[21621600,3360,108,72,48,36,2,6,4,48,4,36
,2,4,36,2,12,2,2,12,2,2],[21621600,3360,108,72,48,36,2,6,4,48,4,36,2,4,36,2,12
,2,2,12,2,2],[21621600,3360,108,72,240,32,36,2,6,12,16,12,36,2,4,36,2,12,8,2,2
,4,2,2],[21621600,3360,108,72,720,36,2,6,12,720,12,36,2,12,36,2,36,2,2,36,2,2]
,[21621600,3360,108,72,48,12,6,6,4,48,4,27,2,4,3,3,3,1,1,3,1,1],[21621600,3360
,108,72,48,12,6,6,4,48,4,27,2,4,3,3,3,1,1,3,1,1],[21621600,50400,1440,1440,
151200,1260,30240,840,160,96,72,280,24,90,18,1200,90,60,18,96,24,280,24,8,8,8,
1260,720,48,36,12,18,10,6,18,6,10,6,16,4,6,8,90,18,60,6,2,6,6,6,6,16,4,6,2,2,2
,2,2,36,12,18,10,6,6,4,2,2,6,2,6,6,4,2,2,2],[21621600,90720,1440,800,75600,630
,54,30240,2520,160,96,56,840,8,3360,240,24,360,32,50,54,54,18,2,96,24,840,8,8,
8,8,18,360,54,18,8,18,14,2,10,6,120,32,24,24,8,120,8,6,2,2,8,6,6,6,18,2,120,8,
6,6,24,8,8,6,2,2,2,2,8,8,2,18,2,6,2,6,6,2,6,2,8,2,2,6,6,2,2,2,2,2],[21621600,
60480,2720,75600,630,54,30240,400,480,32,24,32,210,60,6,720,272,20,54,18,2,240
,8,32,8,8,18,360,54,18,32,48,24,40,2,2,20,6,2,6,6,6,32,2,2,8,6,6,6,18,2,6,2,24
,8,6,2,32,2,8,2,2,2,8,18,2,6,2,6,6,2,6,2,2,8,6,2,6,2,2,2,2,2],[21621600,141120
,1440,151200,1260,30240,8400,240,800,1120,5040,72,2280,144,60,240,480,1120,80,
80,1260,720,264,36,12,80,24,360,40,24,120,40,4,80,90,18,60,120,8,48,24,24,24,
40,4,8,8,8,8,36,12,18,6,10,6,4,8,8,6,2,6,6,4,2,2,2],[21621600,30240,480,160,
75600,2520,216,32,80,16,1680,80,16,40,72,24,4,80,16,16,72,8,16,8,8,16,12,8,4,
20,2,8,8,8,4,8,4,2,2],[21621600,2080,75600,2520,216,24,80,120,8,208,40,4,4,80,
4,72,24,4,8,4,12,8,4,20,2,4,8,4,4,2,4,2,2],[20756736,3840,72576,5376,16,384,
128,16,96,16,16,32,16,16,16,16],[20756736,48384,72576,5376,16,576,2688,64,96,
16,16,48,16,8,16,8],[20756736,2304,72576,5376,16,384,4,4,96,16,16,4,4,4,16,4],
[19459440,99792,6480,5616,54432,432,1152,1872,432,1296,864,288,144,2520,1152,
864,288,288,432,432,144,144,144,144,2520,216,72,216,72,432,288,144,144,144,72,
72,72,72,216,72,72,72,72,72,72,72,144,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72],[19459440,54432,1872,3024,1008,288,144,144,2520,1008,144,144,
144,144,144,144,144,312,72,144,144,144,168,24,24,48,24,144,168,24,24,24,24,24,
24,24,24,24,24,24],[19459440,99792,720,4464,3024,1584,144,336,432,5040,144,
2520,144,144,48,144,144,720,144,48,48,2520,24,72,24,72,48,144,48,48,360,24,24,
24,24,24,24,72,24,48,24,24,24,24,24,72,24,24,24,24,24,24,24,24],[19459440,
81648,2160,3312,27216,432,1104,144,432,144,48,2520,216,2520,432,144,48,48,144,
120,24,72,72,72,24,2520,72,48,72,48,48,72,24,24,24,180,36,36,24,12,72,24,24,36
,48,12,12,24,12,36,12,12,12,12,24,12,36,12,12,12,12,12,12,12,12,12,12],[
19459440,81648,2160,3312,27216,432,1104,144,432,144,48,240,48,2520,432,144,48,
48,144,240,48,48,48,48,48,2520,72,48,72,48,48,48,48,48,48,12,12,36,24,12,72,24
,24,36,48,12,12,48,12,36,12,12,12,12,24,12,12,12,12,12,12,12,12,12,12,12,12],[
19459440,54432,2880,1296,54432,432,432,432,48,48,2520,432,432,24,24,24,24,96,
216,72,432,24,24,72,72,72,72,24,24,24,72,72,12,12,12,12,72,12,12,12],[19459440
,54432,4176,54432,432,432,432,96,144,144,16,2520,432,432,16,144,16,16,16,16,48
,216,72,432,16,16,16,16,72,72,72,72,16,8,8,8,16,72,72,8,8,8,8,8,8,72,8,8,8,8,8
],[19459440,54432,1872,54432,864,432,432,144,2520,504,432,432,144,72,72,312,72
,432,72,72,72,144,72,72,24,72,84,72,72,12,24,12,72,12,12,12],[19459440,90720,
1296,54432,3024,432,432,528,1008,48,2520,432,144,432,1008,48,48,48,48,216,120,
432,48,48,48,48,72,72,88,24,72,8,8,48,24,72,72,8,8,8,8,8,72,8,8,8,8,8],[
19459440,90720,3600,7560,720,480,720,72,144,240,60,720,240,72,48,240,24,240,24
,12,72,24,24,240,24,24,12,12],[19459440,90720,2880,720,7560,720,192,72,16,144,
16,60,720,72,16,48,16,8,16,24,20,72,24,8,16,8,8,12,4],[19459440,54432,720,3024
,144,96,144,48,64,2520,144,48,48,48,32,120,72,16,48,24,24,24,16,32,8,16,24,8,
16,8,8,8,8,8],[19459440,18144,1296,576,96,48,144,48,32,2520,504,48,48,24,24,16
,16,216,24,16,8,24,96,8,16,16,8,8,8,84,8,8,8,4,8,4,4,8,4,4],[19459440,99792,
720,4464,3024,1584,144,336,432,64,2520,144,144,48,144,144,64,32,32,2520,24,72,
24,72,48,16,32,16,24,24,24,24,24,72,24,16,24,24,24,24,24,16,8,8,24,8,8,8],[
19459440,63504,3600,2160,144,96,528,48,336,192,64,48,2520,72,32,2520,32,48,48,
48,16,16,16,120,32,24,24,8,16,16,2520,120,24,120,24,16,16,8,16,8,180,12,8,24,8
,16,120,8,8,24,16,16,24,8,8,24,8,8,8,16,8,12,12,4,8,4,4,4,8,8,4,4,4,4],[
19459440,63504,3600,2160,144,96,528,48,336,192,64,48,144,240,16,2520,32,48,48,
48,16,16,16,240,16,16,16,8,24,16,2520,120,24,120,24,16,16,8,16,8,12,24,4,24,8,
16,120,8,8,24,16,16,24,8,8,24,8,8,8,16,8,12,8,4,4,4,4,4,8,8,4,4,4,4],[19459440
,81648,2160,3312,27216,432,1104,144,432,144,48,144,32,2520,432,144,48,48,144,
32,8,24,16,16,16,2520,72,48,72,48,48,16,8,16,8,24,8,36,24,12,72,24,24,36,48,12
,12,8,12,36,12,12,12,12,24,8,8,4,4,4,4,12,8,4,4,4,4],[19459440,99792,720,4464,
3024,1584,144,336,432,144,240,16,2520,144,144,48,144,144,240,16,16,16,8,24,16,
2520,24,72,24,72,48,24,8,16,8,12,24,4,24,24,24,24,24,72,24,8,24,24,24,24,24,12
,8,4,4,4,4,4,24,4,4,4,4,4],[19459440,81648,2160,3312,27216,432,1104,144,432,
144,48,2520,72,240,16,2520,432,144,48,48,144,240,120,16,16,16,24,24,8,2520,72,
48,72,48,48,120,8,8,8,16,8,180,12,12,4,36,24,12,72,24,24,36,48,12,12,8,12,36,
12,12,12,12,24,12,12,12,4,4,4,4,4,12,12,4,4,4,4,4,4],[19459440,99792,3600,5040
,3024,144,96,1584,144,528,192,64,432,48,48,16,2520,144,32,48,144,48,144,144,48
,16,16,16,48,16,16,16,48,16,16,16,2520,120,72,120,72,48,16,48,16,16,16,16,16,
16,24,24,24,16,120,24,24,72,16,16,24,24,8,8,16,24,8,24,8,8,8,16,24,24,24,24,8,
8,8,8,8,8,8,8,24,8,8,8,8,8,8,8,8,8],[19459440,117936,2160,6192,27216,3024,432,
2160,240,624,144,48,432,504,72,2520,432,144,144,48,48,144,48,240,144,504,24,72
,24,24,24,24,8,24,24,24,8,2520,72,96,72,96,48,48,24,24,24,8,8,8,8,8,8,36,40,24
,12,72,40,40,36,96,12,12,24,4,4,8,24,12,36,12,12,12,12,40,24,24,24,4,4,4,4,4,4
,4,4,4,4,4,4,24,12,4,4,4,4,4,4,4,4,4,4],[19459440,63504,6480,2736,576,96,528,
48,528,192,64,192,48,16,2520,504,32,48,48,168,192,16,16,16,48,24,16,16,8,8,8,
24,16,8,8,2520,216,24,216,24,168,16,24,8,8,16,8,8,8,8,8,96,8,16,216,8,8,24,16,
16,96,8,8,8,84,8,96,8,8,8,84,16,8,4,4,8,4,8,4,8,4,4,4,8,84,8,4,4,4,4,4,8,4,4,4
,4],[19459440,54432,2880,3600,3024,144,336,144,192,192,96,96,32,144,48,2520,
144,64,16,48,32,16,48,48,48,48,16,96,48,120,72,16,16,16,48,16,24,24,24,16,32,
16,24,8,24,16,8,8,16,24,8,16,8,8,16,8,8,8,8,8,8,8,8,8,8,8],[19459440,72576,
4320,1872,27216,3024,192,240,288,432,48,48,504,72,16,2520,72,144,288,24,48,24,
504,24,24,24,16,24,16,8,144,24,72,96,24,8,8,8,24,16,8,36,40,24,12,24,12,36,12,
24,8,4,4,8,24,12,24,12,24,12,8,4,4,4,4,4,4,8,12,4,8,4,4,4,4,4],[19459440,18144
,2880,4176,576,336,48,192,192,96,96,32,48,32,2520,504,64,16,48,32,16,48,24,16,
16,24,16,96,48,216,24,16,8,8,24,16,96,8,16,32,16,24,8,24,16,16,8,8,84,8,16,8,8
,16,8,4,8,4,8,8,8,4,8,4,4,4],[19459440,18144,2880,6480,144,336,48,288,192,96,
96,144,32,1008,16,2520,64,16,48,16,32,16,48,48,16,48,16,96,96,120,24,16,48,16,
16,16,24,8,16,48,16,24,8,24,16,8,8,8,16,8,16,8,8,16,8,8,8,8,8,8,8,8,8,8,8,8],[
19459440,36288,4320,4752,27216,192,144,96,288,432,48,144,48,504,72,48,2520,72,
288,24,16,48,24,72,24,24,8,16,48,24,8,144,72,72,48,24,24,8,8,16,8,8,36,24,12,
16,24,12,36,12,24,8,4,8,4,8,12,24,12,24,12,8,4,8,4,4,4,8,4,4,12,8,4,4,4,4,4,4]
,[19459440,18144,5760,3600,144,336,48,192,192,96,96,80,96,16,2520,64,16,48,24,
32,16,32,8,16,8,48,8,192,48,120,24,16,24,8,8,16,24,8,16,32,16,24,8,24,40,8,16,
8,8,16,8,12,8,16,4,8,16,8,4,4,8,8,4,4,4,4],[19459440,54432,720,3024,144,96,144
,240,2520,144,48,48,48,96,120,72,48,48,24,24,24,16,40,48,24,8,8,16,8,8,8,8],[
19459440,18144,1296,576,96,48,1008,144,2520,504,48,48,24,48,72,216,24,48,24,24
,96,8,16,24,8,24,84,8,8,12,8,4,4,8,4,4],[19459440,63504,3600,2160,144,96,528,
48,336,192,64,48,1008,144,2520,32,48,48,48,16,16,16,48,48,48,16,2520,120,24,
120,24,16,48,16,16,16,24,8,16,120,8,8,24,16,16,24,8,8,16,8,24,8,8,8,16,8,8,8,8
,8,8,8,8,8,8,8],[19459440,81648,2160,3312,27216,432,1104,144,432,144,48,504,72
,48,16,2520,432,144,48,48,144,48,24,16,16,16,24,24,8,2520,72,48,72,48,48,24,8,
8,8,16,8,36,24,12,72,24,24,36,48,12,12,8,4,8,4,8,12,36,12,12,12,12,24,8,4,8,4,
8,8,4,4,12,8,4,4,4,4,4,4],[19459440,63504,3600,2160,144,96,528,48,336,192,64,
48,96,32,2520,32,48,48,48,16,16,16,48,32,16,16,2520,120,24,120,24,16,24,8,8,16
,24,8,16,120,8,8,24,16,16,24,16,16,8,8,24,8,8,8,16,8,8,8,16,8,8,8,4,4,4,4],[
19459440,63504,720,1584,528,48,144,288,48,16,2520,48,48,16,16,16,16,48,32,2520
,24,24,24,24,16,16,16,48,8,24,8,8,24,8,8,16,8,16,8,8,8,8,8,8,8,8,8,8],[
19459440,63504,720,1584,528,48,144,528,48,2520,48,528,48,48,48,2520,24,24,24,
24,48,48,24,8,8,24,8,8,24,8,8,48,8,24,8,8,8,8,8,8,8,8,8,8,8],[19459440,63504,
720,1584,528,48,144,3024,288,2520,48,144,8,24,48,48,32,2520,24,24,24,24,8,16,
24,8,180,36,8,24,8,8,24,4,4,8,8,12,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4],[19459440,
63504,720,1584,528,48,144,3024,144,240,16,2520,48,240,144,16,16,16,48,48,16,
2520,24,24,24,24,16,16,48,16,180,12,12,4,8,24,8,8,24,4,4,16,8,12,12,12,4,4,4,4
,4,4,4,4,4,4,4,4,4,4,4],[19459440,54432,5760,720,3024,144,96,144,384,96,48,32,
2520,144,48,48,32,48,16,16,32,16,48,32,16,16,192,120,72,48,32,16,16,16,16,24,
24,24,16,32,48,16,8,16,24,8,16,24,16,8,8,8,8,8,8,16,8,8,16,8,8,8,8,8],[
19459440,18144,2880,4176,576,96,48,96,64,144,48,48,32,2520,504,48,16,24,16,48,
24,16,24,8,8,16,24,16,16,24,8,96,48,216,24,24,16,8,8,16,8,16,8,8,96,8,16,16,16
,24,8,16,8,8,84,8,8,12,8,8,12,4,8,4,8,4,8,4,4,12,8,4,8,4,8,4,8,4,4,4,4],[
19459440,63504,720,1584,528,48,144,504,72,240,48,2520,48,240,24,48,16,16,24,24
,8,16,16,2520,24,24,24,24,16,16,8,12,12,8,24,8,8,24,4,4,8,8,12,12,4,4,4,4,4,4,
4,4,4,4,4,4],[19459440,63504,720,1584,528,48,144,2520,72,48,48,2520,48,48,120,
48,16,16,24,24,8,16,16,2520,24,24,24,24,16,16,8,180,12,8,8,24,8,8,24,8,8,8,8,
12,12,4,8,4,4,4,8,8,8,8,8,4,4,4],[19459440,63504,720,1584,528,48,144,504,216,
32,2520,48,24,32,8,24,24,24,24,16,16,2520,24,24,24,24,16,8,8,24,8,8,24,8,8,24,
4,4,8,8,8,8,4,4,4,4,4,4,4,4,4,4,4,4],[19459440,18144,2880,720,144,96,48,48,144
,96,16,2520,48,24,8,8,48,16,8,96,120,24,24,16,8,24,8,16,24,8,8,16,8,8,12,8,4,8
,4,4,4,8,4,4],[19459440,18144,3600,144,96,48,96,144,96,48,2520,48,16,16,48,16,
16,48,120,24,24,8,16,24,8,16,16,8,24,16,8,8,8,8,8,8,8,8,4,4,4],[19459440,18144
,2880,720,144,96,48,48,1008,48,2520,48,24,8,8,48,24,96,120,24,48,8,8,24,8,16,
24,24,8,8,8,12,12,8,4,4,4,4,8,4],[19459440,18144,3600,144,96,48,96,144,80,2520
,48,16,16,16,32,48,120,24,8,16,16,24,8,16,16,8,8,8,8,8,8,8,8,4,8,4],[19459440,
18144,5760,3600,144,48,96,192,64,144,96,96,16,2520,16,48,16,16,24,24,24,8,8,24
,8,72,8,48,48,16,16,192,48,120,24,16,8,16,8,8,24,16,8,8,24,8,16,16,16,48,8,8,
16,8,8,8,24,8,12,8,8,4,4,8,8,4,12,12,4,4,4,8,8,8,4,4,4,4,4,4,4],[19459440,
63504,3600,2160,144,528,48,336,48,96,32,2520,48,48,24,24,8,8,8,8,8,72,24,48,48
,16,16,32,16,16,2520,120,24,120,24,8,8,24,8,8,8,8,8,16,16,24,24,8,120,8,8,24,
24,16,16,8,24,8,12,8,8,8,8,4,4,16,8,8,12,4,4,4,4,4,12,8,8,4,4,4,4,4,4,4,4,4],[
19459440,18144,3600,144,96,48,96,144,16,2520,48,16,16,16,8,48,120,24,16,8,24,8
,16,16,8,8,8,8,8,8,8,4,8,4,4],[19459440,54432,2880,144,3024,144,192,16,16,2520
,144,16,16,16,8,96,24,72,16,8,24,24,16,8,8,8,24,8,8,8,4,8,4,4],[19459440,
136080,144,2160,15120,2160,144,144,432,60,2160,144,144,144,432,4,432,144,144,
144,12,4],[19459440,18144,2880,3024,48,96,192,144,16,48,64,2520,16,16,16,48,32
,96,48,24,24,8,16,16,8,16,16,8,8,8,8,8,8,8,8,8,4,8,4],[19459440,63504,720,1584
,528,48,144,48,16,2520,48,48,16,16,16,8,2520,24,24,24,24,16,8,8,8,8,24,8,8,24,
8,8,8,8,8,8,8,8,4,8,4,4,4,4],[19459440,90720,3600,27216,756,360,1200,108,1512,
216,16,2520,360,36,252,36,12,12,16,36,72,24,2520,60,60,8,4,12,36,12,8,4,90,30,
4,36,6,36,60,6,2,2,4,36,6,12,4,6,10,2,2,2,2,2,4,2,6,6,2,2,2,2],[19459440,72576
,1440,2448,756,24,720,96,48,16,108,4032,144,16,2520,8,36,12,12,12,4,360,16,8,
12,48,24,2520,48,36,48,36,8,4,4,36,4,12,8,270,18,4,6,4,48,36,4,4,6,2,2,4,4,6,
36,12,4,4,2,6,2,2,2,2,2,4,2,6,2,2,2,2,2],[19459440,72576,1440,2448,756,24,720,
96,48,16,108,1512,216,240,2520,8,36,12,12,12,4,240,8,12,48,24,24,2520,48,36,48
,36,12,8,4,4,12,24,4,90,12,30,6,4,48,36,4,4,6,2,2,4,4,6,12,12,12,4,2,6,2,2,2,2
,2,4,2,6,2,2,2,2,2],[19459440,90720,3600,27216,756,360,1200,108,4032,144,240,
2520,360,36,252,36,12,12,240,360,36,72,2520,60,60,120,12,12,36,36,24,12,270,12
,18,36,6,36,60,6,2,2,12,36,6,12,36,6,10,2,2,2,2,2,12,2,6,6,2,2,2,2],[19459440,
2880,1584,48,16,312,24,2520,8,8,72,24,8,4,96,24,24,8,12,4,12,4,8,8,4,12,4,12,4
,4,4,4,4,2,4,2,2,2],[19459440,45360,720,144,48,144,72,24,2520,72,24,24,8,4,
2520,24,24,24,4,4,24,24,12,12,4,12,4,12,12,2,12,2,2,2],[19459440,2160,144,48,
264,40,2520,24,8,8,24,16,4,24,120,8,12,4,12,4,24,8,12,4,4,4,8,4,4,4,4,2,4,2,2,
2],[19459440,45360,3600,720,144,240,48,144,24,8,2520,48,24,8,8,8,8,4,2520,120,
120,8,4,4,24,24,120,24,4,4,4,24,4,4,4,4,4,2,4,2,2,2],[19219200,11520,268800,
6720,96,384,2304,576,192,96,6720,384,384,96,96,96,96,96,576,96,96,96,96,96,192
,192,384,96,96,96,192,96,96,96,96,96],[19219200,3840,201600,3360,312,240,192,
120,240,3360,96,96,96,24,48,96,240,48,48,24,96,24,24,48,24,24,24,24],[19219200
,3840,201600,3360,312,640,48,40,48,3360,96,96,96,24,32,16,48,16,16,8,96,24,24,
16,8,8,24,8],[19219200,80640,268800,6720,96,384,8960,1120,1920,96,6720,384,384
,96,96,96,96,96,1120,320,64,32,16,96,384,96,96,96,64,16,32,16,96,16],[19219200
,1280,268800,6720,96,384,32,8,32,8,6720,384,384,96,96,96,96,96,8,32,8,8,8,8,8,
8,384,96,96,96,8,8,8,8,96,8],[19219200,1280,268800,6720,96,384,80,64,16,128,80
,8,6720,384,384,96,96,96,96,96,16,80,16,16,16,8,8,4,4,4,4,8,384,96,96,96,16,4,
4,8,4,4,96,4],[19219200,8960,201600,3360,312,320,104,32,3360,96,96,96,24,32,32
,32,32,8,96,24,24,32,8,8,24,8],[19219200,3840,67200,1680,240,384,240,192,48,12
,24,12,96,24,48,24,24,60,12,24,48,6,12,6,6,6,12,6,6,24,24,6,6,6,6,6,12,6,6,6,6
,6],[19219200,1280,201600,3360,312,80,4,128,80,8,3360,96,96,96,24,80,8,8,4,8,
96,24,24,8,4,24,4],[19219200,1280,201600,3360,108,96,80,4,128,80,8,3360,96,96,
3,3,80,8,8,1,8,96,3,3,8,1,3,1],[19219200,3840,201600,3360,312,576,96,16,12,
3360,96,96,96,24,96,16,16,4,96,24,24,16,4,24,4],[19219200,3840,3360,36,312,96,
16,12,12,96,96,24,12,3,8,4,16,4,12,24,3,4,4,3,1],[19219200,1280,67200,1680,240
,384,32,128,80,8,96,24,48,24,24,60,12,24,32,8,2,2,8,8,6,24,24,6,6,6,8,8,2,2,2,
6,2],[19219200,3840,67200,1680,240,384,192,48,28,8,12,96,24,48,24,24,60,12,24,
8,8,2,4,4,8,6,4,2,6,24,24,6,6,6,2,2,2,2,4,6,2],[19219200,1280,67200,1680,24,
168,8,128,80,8,24,48,24,24,6,12,12,3,8,2,2,2,8,4,6,12,3,3,3,3,2,4,1,1,1,3,1],[
18532800,181440,15120,181440,5040,5040,5040,720,5040,5040,1080,720,5040,360,
360],[18532800,2880,15120,960,480,720,720,480,240,720,240,120],[18532800,960,
15120,480,240,720,480,120,720,120,60,60],[18532800,960,648,480,12,720,480,6,18
,6,60,3],[18532800,25920,2880,960,3780,25920,192,192,60,108,36,90,192,108,12,
12,6,18,6,90,12,6,6,6,6,18,6,6,6,6,6,6],[18532800,25920,960,2880,3780,720,192,
144,180,108,12,90,48,36,36,12,18,6,6,90,12,6,6,6,18,6,6,6,6,6,6,6],[18532800,
960,64800,480,96,720,480,48,36,48,60,6],[18532800,25920,2880,960,259200,25920,
192,192,384,90,192,25920,6,18,6,18,192,6,6,6,6,6,6,6],[18532800,25920,960,2880
,2160,720,192,144,48,90,48,720,18,6,6,18,48,6,6,6,6,6,6,6],[18532800,77760,
2160,77760,720,720,720,90,720,720,18,18,720,18,6,6,6,6,6,6],[18532800,77760,
259200,25920,2160,720,5760,90,720,25920,18,18,720,6,18,6,6,6,6,6],[18532800,
25920,5760,259200,25920,144,144,576,90,144,25920,36,6,18,144,6,6,6,18,6,6,6],[
18532800,25920,5760,2160,720,192,144,144,90,48,720,36,6,18,48,6,6,6,18,6,6,6],
[18532800,25920,2880,960,648,25920,192,192,12,90,192,54,6,18,6,9,6,6,6,6,3,6,3
,3],[18532800,25920,960,2880,324,720,192,144,12,90,48,18,18,6,6,9,6,6,6,6,3,6,
3,3],[18532800,8640,960,960,3780,64,240,48,60,36,12,90,16,4,12,12,6,6,2,90,4,2
,2,2,6,6,2,2,2,2,2,2],[18532800,25920,1920,3780,720,64,48,108,24,90,16,36,4,12
,12,6,90,4,6,2,2,12,6,2,6,2,2,2],[18532800,25920,1920,3780,25920,48,48,120,108
,90,48,108,12,12,12,6,90,12,6,2,2,12,6,2,6,2,2,2],[18532800,43200,3780,25920,
720,240,180,90,240,108,36,12,10,90,12,6,6,2,10,2,6,6,2,2],[18532800,8640,1920,
1920,3780,64,48,240,120,36,24,90,16,12,4,12,12,12,2,90,4,2,2,2,12,12,2,2,2,2,2
,2],[17297280,120960,665280,10080,120960,13440,13440,1440,10080,13440,120960,
1440,1440,240,240,240,1440,13440,240],[17297280,120960,60480,5040,432,3360,
13440,1680,1440,144,13440,3360,96,96,240,48,240,96,1680,48],[17297280,120960,
604800,504,432,120960,13440,13440,72,144,13440,120960,72,72,24,24,24,72,13440,
24],[17297280,120960,5544,216,3360,13440,1680,72,72,13440,3360,24,24,24,12,24,
24,1680,12],[17297280,1920,60480,5040,432,320,20,16,192,144,4,80,8,32,20,16,4,
8,4,4],[17297280,1920,60480,216,216,16,20,24,192,54,4,4,4,16,20,6,4,4,2,2],[
17297280,24192,302400,4032,24192,2240,288,4032,32,24192,288,288,200,32,32,8,
288,32,32,8,8,8],[17297280,40320,120960,1008,1120,2240,960,48,1008,2240,64,16,
80,8,48,80,80,8,16,8,8,8,8,8],[17297280,40320,120960,1008,288,2240,960,48,1008
,2240,64,16,80,8,48,48,80,8,16,8,16,8,8,8],[17297280,72576,3840,120960,1008,
384,2240,8064,1008,48,48,1008,128,96,48,80,8,1008,48,32,8,8,24,8,48,8,8,8,8,8]
,[17297280,72576,3840,120960,1008,288,2240,8064,1008,192,384,1008,64,96,96,80,
8,1008,48,16,16,8,24,8,48,8,8,8,8,8],[17297280,72576,768,120960,1008,192,2240,
8064,1008,48,48,1008,128,96,48,80,8,1008,48,32,8,24,8,8,48,8,8,8,8,8],[
17297280,120960,120960,1008,6048,2240,10752,1008,576,1008,160,576,80,8,1008,48
,48,32,8,16,48,8,16,8,8,8],[17297280,112896,5760,120960,1008,1920,2240,8064,
1008,576,48,960,48,1008,2240,96,96,192,48,80,8,1008,48,48,96,80,8,24,8,24,8,48
,8,24,8,8,8,8,8],[17297280,72576,120960,1008,2016,2240,8064,1008,1008,96,80,8,
1008,16,24,8,1008,8,8,8],[17297280,72576,120960,1008,288,2240,8064,1008,1008,
96,80,8,1008,16,24,8,48,8,8,8],[17297280,24192,7680,120960,1008,288,2240,1344,
672,48,288,192,1008,128,32,48,32,80,8,48,24,24,16,8,28,8,4,8,8,8,4,8,8,4,4,4],
[17297280,1920,6144,120960,1008,64,2240,24,576,24,48,24,24,1008,64,96,64,8,8,
80,8,48,24,24,16,4,4,24,8,4,4,8,8,4,4,8,4,4,4],[17297280,5760,120960,1008,64,
2240,576,48,1008,96,80,8,48,16,24,8,8,8,8,4],[17297280,40320,1920,384,120960,
1008,128,2240,24,24,960,24,48,24,1008,2240,64,64,8,8,80,8,24,24,48,64,80,8,4,4
,4,4,8,8,4,4,8,4,4,4],[17297280,64512,1920,120960,1008,640,2240,1344,96,1248,
192,48,1008,2240,32,32,64,32,80,8,24,24,48,32,80,8,8,4,4,8,8,8,4,8,8,4,4,4],[
17297280,40320,120960,1008,3360,2240,960,48,1008,2240,480,96,80,8,48,240,80,8,
24,8,40,12,8,4],[17297280,40320,120960,1008,96,2240,960,48,1008,2240,24,24,80,
8,48,16,80,8,24,8,4,4,8,4],[16473600,115200,4320,288,576,80,960,192,96,144,48,
80,8,8,8,8,48,8,8,8,8,8,8],[16216200,136080,3000,7560,136080,2520,1560,1080,
1080,2520,600,2520,360,120,840,1080,120,1080,2520,120,600,360,120,120,120,360,
2520,120,120,1080,120,120,360,120,120,360,120,2520,120,120,120,120,120,120,120
,360,120,120,120,120,120,120,120,120],[16216200,45360,1440,3000,7560,2520,840,
360,120,96,96,48,48,16,72,120,32,72,24,120,840,120,32,8,120,16,8,24,120,24,120
,16,16,120,120,120,8,16,2520,120,8,8,8,8,8,8,120,120,8,16,120,24,24,8,8,120,
120,120,120,8,8,8,8,8,8,8,120,8],[16216200,45360,1440,3000,324,2520,840,360,
120,96,96,48,48,16,72,120,32,12,6,6,840,120,32,8,120,16,8,24,120,24,120,16,16,
120,120,120,8,16,36,6,2,8,8,8,8,8,120,120,8,16,120,4,2,2,2,6,6,6,120,8,8,8,8,2
,2,8,6,2],[16216200,68040,3240,3240,226800,68040,1080,1080,1080,216,648,648,
216,216,216,2160,432,1080,648,216,216,1080,216,216,216,216,216,216,216,216,216
,22680,2160,144,144,144,1080,216,216,216,216,216,216,216,216,216,360,216,144,
144,216,216,216,360,72,72,72,144,216,72,72,72],[16216200,136080,3000,7560,
45360,7560,1800,840,600,2520,600,2520,360,120,1680,360,360,600,2520,120,600,
480,360,360,120,480,1080,180,120,360,120,120,240,360,120,480,360,360,60,180,60
,360,240,120,120,120,180,60,120,180,60,60,60],[16216200,136080,1920,1080,7560,
45360,7560,360,360,600,192,32,2520,120,32,2520,72,24,360,360,360,16,16,2520,
120,120,8,16,24,8,120,120,16,16,8,1080,180,24,360,120,120,16,120,120,16,16,8,8
,8,360,60,12,4,8,120,16,8,8,180,4,8,60,12,4,4],[16216200,45360,1440,3000,7560,
45360,720,360,360,48,32,72,24,72,120,32,72,24,120,420,360,360,8,12,8,72,120,8,
60,16,12,4,12,8,60,8,8,8,20,4,1080,180,8,360,60,8,8,12,60,8,4,8,12,8,4,8,4,4,8
,12,4,60,4,60,12,8,4,4,4,180,4,4,12,4,60,4],[16216200,45360,480,3960,7560,
45360,1440,360,360,48,32,72,8,72,360,16,360,24,24,1260,360,360,8,4,8,72,360,8,
180,8,12,4,4,8,180,8,8,8,12,4,1080,180,8,360,180,8,8,4,180,8,4,8,4,8,4,8,4,4,
180,8,4,4,4,180,4,8,4,4,4,180,4,4,180,4,4,4],[16216200,45360,1920,2520,7560,
45360,360,360,360,48,72,64,72,40,72,24,24,360,360,48,8,16,72,8,8,16,8,16,8,24,
8,8,8,16,8,1080,180,4,360,8,8,16,8,8,8,16,8,8,8,8,12,4,4,8,16,8,8,8,180,4,8,12
,4,4,4],[16216200,45360,1920,2520,7560,45360,360,360,360,48,72,64,72,40,72,24,
24,360,360,48,8,16,72,8,8,16,8,16,8,24,8,8,8,16,8,1080,180,4,360,8,8,16,8,8,8,
16,8,8,8,8,12,4,4,8,16,8,8,8,180,4,8,12,4,4,4],[16216200,45360,1920,2520,162,
1260,360,240,360,48,108,64,72,40,18,6,6,120,32,24,36,24,24,8,8,12,8,16,16,24,8
,12,16,8,8,18,6,2,12,4,4,8,12,8,16,8,8,8,8,2,6,2,2,8,4,8,4,4,6,2,4,6,2,2,2],[
16216200,45360,1920,2520,162,1260,360,240,360,48,108,64,72,40,18,6,6,120,32,24
,36,24,24,8,8,12,8,16,16,24,8,12,16,8,8,18,6,2,12,4,4,8,12,8,16,8,8,8,8,2,6,2,
2,8,4,8,4,4,6,2,4,6,2,2,2],[16216200,45360,3360,1080,162,1260,360,48,96,144,
108,40,72,120,32,36,6,8,24,24,36,8,12,24,8,8,8,8,16,4,12,4,8,120,12,16,8,4,18,
6,6,12,12,4,8,8,4,4,12,4,4,4,4,4,8,6,2,6,2,4,4,2,6,4,2,2,6,2,2,6,2,2,2],[
16216200,45360,3360,1080,162,1260,360,48,96,144,108,40,72,120,32,36,6,24,8,24,
36,8,12,24,8,8,8,8,16,4,4,12,8,120,12,16,8,4,18,6,6,12,12,4,8,8,4,12,4,4,4,4,4
,4,8,6,2,6,2,4,4,6,2,4,2,2,6,2,2,6,2,2,2],[16216200,45360,1440,3000,324,45360,
720,360,360,48,32,72,24,72,120,32,12,6,6,420,360,360,8,12,8,72,120,8,60,16,12,
4,12,8,60,8,8,8,20,4,54,9,2,360,60,8,8,12,60,8,4,8,12,8,4,8,4,4,3,2,1,3,4,60,
12,8,4,4,4,9,1,4,3,1,3,1],[16216200,68040,3240,3240,1296,68040,1080,1080,1080,
216,648,648,216,216,216,1080,648,216,216,1080,216,216,216,216,216,216,216,216,
216,324,108,54,1080,216,216,216,216,216,216,216,216,216,216,216,216,108,54,54,
216,54],[16216200,68040,3240,3240,7560,68040,1080,1080,1080,216,648,648,216,
216,216,216,1080,648,216,216,1080,216,216,216,216,216,216,216,216,216,1080,180
,216,1080,216,216,216,216,216,216,216,216,216,72,36,216,216,216,36,72,180,216,
36,36],[16216200,68040,3240,3240,162,68040,1080,1080,1080,216,648,648,216,216,
216,18,1080,648,216,216,1080,216,216,216,216,216,216,216,216,216,6,6,6,1080,
216,216,216,216,216,216,216,216,216,6,6,6,6,216,216,216,6,6,6,216,6,6],[
16216200,249480,360,5160,226800,22680,32760,360,5160,360,360,24,24,1080,72,
2520,72,20160,288,2160,48,360,5160,24,24,24,24,24,360,360,360,1080,72,2520,360
,72,72,72,24,24,24,360,72,24,24,22680,288,48,2160,288,48,48,1080,72,360,360,24
,24,24,360,72,72,72,24,24,24,24,24,24,24,24,72,24,24,2520,72,360,24,48,288,48,
48,360,24,24,72,24,24,24,24,24,72,24,360,24,24,72,48,24,24,72,24,24,24],[
16216200,143640,1080,6120,226800,45360,7560,360,1200,2280,216,504,144,96,648,
216,24,1260,108,10080,432,1440,144,1200,360,144,72,96,96,72,360,216,72,216,216
,24,24,24,24,216,1260,60,108,36,36,36,36,12,36,12,60,12,36,36,36,12,22680,1080
,48,24,360,144,144,72,24,24,360,216,72,96,72,72,24,24,24,60,36,36,36,12,12,12,
12,12,12,12,12,36,36,12,12,12,12,12,36,12,12,12,1260,108,240,72,24,144,24,24,
24,24,72,12,36,12,12,12,12,12,12,12,180,24,12,60,36,12,36,36,12,24,12,12,36,12
,12,12,12],[16216200,158760,840,6120,1890,68040,12600,1080,3240,264,456,72,72,
792,216,2520,72,630,270,18,18,90,54,6,1080,1800,72,72,72,72,72,264,168,264,504
,216,2520,360,72,72,72,24,24,24,360,72,24,24,630,18,18,6,90,54,18,18,6,6,6,18,
6,360,216,120,168,72,72,72,360,72,72,72,24,24,24,24,24,24,24,24,72,24,24,630,
90,18,6,90,6,18,6,18,6,6,6,6,18,120,72,24,72,24,24,24,24,24,6,6,18,90,6,6,6,6,
6,18,18,18,6,24,6,18,6,6,6,6,6,6],[16216200,113400,2520,5160,1890,90720,2520,
1080,1440,1800,216,600,384,144,216,72,72,1260,108,630,90,54,18,30,54,18,1440,
120,384,24,144,144,24,1080,72,24,216,72,72,72,72,72,72,1260,60,108,36,36,36,36
,12,36,12,60,12,36,36,36,12,630,54,6,6,30,18,6,18,18,6,6,18,18,1080,72,24,144,
24,24,72,72,72,60,36,36,36,12,12,12,12,12,12,12,12,36,36,12,12,12,12,12,36,12,
12,12,630,30,18,18,30,18,18,6,6,18,18,6,6,6,72,24,12,36,12,12,12,12,12,12,12,
18,6,6,30,18,6,6,6,18,18,6,6,6,12,6,18,6,6,6,6,6,6],[16216200,68040,4680,3720,
1890,22680,600,600,840,72,456,600,120,360,216,120,24,630,90,54,18,30,54,18,420
,360,312,24,72,120,72,72,168,72,72,84,120,120,24,72,84,120,60,24,24,24,24,12,
12,12,12,12,60,24,24,12,12,12,15,54,6,6,30,18,6,18,18,6,6,18,18,84,120,72,48,
24,24,48,24,84,60,12,12,12,12,12,24,12,12,12,12,24,12,12,12,12,24,12,12,12,12,
24,12,12,12,15,15,3,3,15,3,3,6,6,18,18,6,6,6,84,24,12,24,12,12,12,12,12,12,12,
3,3,3,15,3,3,3,3,3,3,3,3,3,6,12,3,3,3,3,3,3,3,3],[16216200,52920,1080,1800,
226800,45360,360,480,600,72,216,144,48,24,1260,108,120,24,1440,144,480,144,48,
48,360,72,24,24,24,24,120,60,24,24,24,12,36,36,36,12,24,24,22680,1080,48,24,
360,24,360,48,24,24,24,60,12,12,12,12,36,24,24,24,24,12,12,12,240,72,24,24,24,
24,24,12,12,12,12,12,180,24,12,60,12,24,12,12,12,12,12],[16216200,75600,2040,
56700,6300,840,240,600,60,72,120,900,204,840,600,120,60,24,120,120,12,120,120,
120,12,180,84,60,60,24,72,12,60,12,12,120,120,12,120,84,60,60,12,24,12,12,12,
12,12,12,12,120,12,12,60,12,12,12,12,12,12,12,12,12,12,12],[16216200,75600,
2040,56700,45360,2520,1080,520,440,840,280,900,204,840,360,120,440,840,40,280,
200,120,120,40,200,540,72,108,44,52,24,28,360,40,40,120,120,40,200,120,84,12,
36,44,24,28,4,20,12,12,4,20,120,120,40,40,40,36,12,4,20,4,4,12,12,40,12,12,4,4
,4,4],[16216200,52920,2520,3240,7560,45360,1440,480,600,72,312,144,48,96,360,
24,360,72,72,1260,480,144,48,48,360,72,84,96,24,24,24,360,180,24,24,12,12,12,
180,24,12,12,1080,180,24,360,84,48,24,24,24,180,12,12,180,12,12,24,12,12,12,12
,12,180,12,24,12,24,180,12,12,12,12,12,180,12,12,180,12,12,12],[16216200,52920
,3960,1800,7560,45360,360,480,600,72,216,240,48,216,72,48,144,72,480,144,48,48
,360,24,72,24,24,24,24,24,36,24,24,24,24,12,12,24,24,12,1080,180,24,360,48,24,
24,24,12,24,12,12,24,12,12,12,12,12,12,24,24,12,24,24,12,12,12,12,180,12,12,24
,12,12],[16216200,113400,3000,1800,162,12600,1800,120,120,288,72,360,48,48,36,
6,1800,24,24,24,120,120,120,360,48,48,24,24,48,24,24,18,6,6,360,24,120,120,24,
48,24,24,24,24,24,6,6,6,6,120,24,24,24,24,6,6,24,6,6,6,6],[16216200,22680,4440
,1800,162,360,240,120,72,120,192,64,264,104,240,32,36,6,32,16,120,32,32,40,32,
8,24,24,8,40,24,36,24,24,32,8,16,8,12,12,120,16,8,16,8,4,6,6,6,24,8,16,8,16,12
,60,4,12,8,4,8,8,16,16,12,12,4,4,4,8,8,4,8,4,4,4,2,2,2,2,8,8,4,4,8,8,4,4,4,6,2
,2,2,4,4,2,2],[16216200,22680,3000,3240,162,1440,240,120,72,216,96,64,48,128,
120,40,18,6,6,1260,32,16,120,32,32,16,32,8,84,96,8,40,24,120,60,16,16,8,24,20,
4,4,8,8,60,8,16,20,4,8,6,6,2,84,24,8,16,8,16,8,8,12,60,4,8,4,8,4,20,4,4,8,8,8,
8,8,8,4,6,2,2,2,2,2,2,2,8,8,12,4,4,4,8,4,4,4,6,2,2,2,4,6,2,2,2],[16216200,
52920,1080,4680,7560,45360,360,720,600,168,216,144,64,144,72,24,144,16,48,72,
480,144,24,64,48,8,360,16,72,24,24,24,24,24,144,16,24,16,8,8,8,16,8,24,16,8,8,
1080,180,24,360,48,8,24,24,24,16,16,8,8,24,16,8,8,8,8,16,8,8,8,8,8,16,8,24,12,
24,16,8,8,8,8,8,8,180,4,8,8,8,12,4],[16216200,143640,1080,3240,7560,45360,7560
,360,480,1320,120,312,144,48,216,24,2520,72,120,8,2520,24,72,480,360,144,48,48
,360,72,24,120,72,24,24,24,24,2520,120,72,24,24,24,24,8,120,8,8,8,120,120,8,8,
8,24,24,8,1080,180,24,360,24,48,24,24,24,120,120,8,8,8,8,8,120,120,8,8,8,8,8,
24,24,8,8,8,8,8,8,8,360,60,8,4,24,12,24,120,8,8,8,8,8,8,8,8,8,180,4,8,8,60,4,
12,4],[16216200,113400,1560,3240,162,12600,360,240,1800,120,216,96,32,360,24,
144,120,8,18,6,6,1800,16,120,120,120,120,360,24,8,8,8,48,48,120,24,8,8,8,8,120
,8,8,8,8,24,16,18,6,2,360,120,120,8,24,24,8,8,120,24,8,8,8,8,8,8,8,8,16,8,8,6,
2,2,2,6,6,120,24,8,8,8,8,8,8,8,6,2,2,8,2,2,6,2],[16216200,68040,360,5160,324,
22680,2520,600,840,168,168,24,40,360,144,1260,108,120,8,36,6,6,360,120,24,48,
40,24,32,72,40,72,72,96,120,72,24,24,16,12,24,4,8,120,60,8,8,8,4,12,12,12,12,
36,27,9,2,72,24,24,32,24,60,12,12,4,4,4,4,4,24,12,8,4,4,4,4,8,8,12,12,8,4,4,8,
8,4,4,12,9,3,2,1,1,6,3,3,24,12,4,4,4,8,4,4,4,4,4,9,1,1,2,4,3,1,3,1],[16216200,
68040,4680,3720,56700,2520,840,240,840,72,456,288,96,216,168,120,24,1260,780,
108,540,156,840,120,48,120,72,24,72,72,168,168,24,24,24,120,120,24,24,24,24,24
,120,24,120,120,24,24,24,24,24,72,84,12,24,156,36,12,36,72,24,24,84,12,12,168,
24,24,120,120,24,24,24,24,24,24,24,24,24,24,24,120,24,24,24,24,24,24,24,24,12,
12,12,84,12,12,24,24,12,12,84,84,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,120,24,24,24,24,24,24,84,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12
,12,12,12,12,12,12,12,12,24,12,12,12,12,12,12,12,12],[16216200,136080,3000,
56700,13860,840,240,1560,180,216,120,5040,72,540,156,840,1560,120,180,72,120,
120,36,120,120,120,36,72,84,12,24,540,72,12,12,24,12,180,36,36,120,120,36,120,
24,12,84,12,12,72,12,12,12,12,12,12,12,12,120,36,36,12,12,12,12,12,12,12,36,12
,12,12,12],[16216200,45360,1440,3000,56700,2520,840,360,120,96,96,48,48,16,72,
120,32,240,72,540,156,840,120,32,8,120,16,8,24,120,24,120,16,16,120,120,120,8,
16,72,84,12,24,24,16,12,12,12,8,8,16,12,8,8,8,8,8,120,120,8,16,120,8,4,8,8,84,
12,12,8,4,8,4,12,12,12,8,4,12,12,120,8,8,8,8,4,4,4,8,4,12,12,4,4,12,8,12,4,4,4
,4,4],[16216200,75600,2040,7560,6300,840,240,600,60,72,120,240,72,840,600,120,
60,24,120,120,12,120,120,120,12,2520,120,24,60,12,12,120,120,12,120,240,120,24
,120,120,12,12,24,12,120,12],[16216200,75600,2040,324,6300,840,240,600,60,72,
120,108,12,840,600,120,60,24,120,120,12,120,120,120,12,36,6,12,60,12,12,120,
120,12,120,12,12,6,6,120,12,12,12,12,6,6],[16216200,45360,4440,7560,2520,840,
480,120,72,36,1260,36,120,360,24,120,840,120,120,12,120,24,24,120,120,12,12,
120,120,120,12,12,2520,120,12,120,120,12,12,12,120,12,12,12,12,120,24,120,120,
120,120,12,12,12,12,12,12,12,120,12],[16216200,45360,4440,324,2520,840,480,120
,72,36,1260,36,120,36,6,6,840,120,120,12,120,24,24,120,120,12,12,120,120,120,
12,12,36,6,2,120,120,12,12,12,120,12,12,12,12,12,2,6,6,6,120,12,12,12,12,2,2,
12,6,2],[16216200,1440,3720,324,120,48,84,24,180,12,36,6,6,28,24,4,4,4,18,12,6
,12,60,4,12,4,6,2,3,3,2,6,12,4,4,4,6,2,2,6,2,2,2,3,1,1,1,3,1,4,6,2,2,2,2,2,1,1
,1,2,1,1],[16216200,1440,3720,324,120,48,84,24,180,12,36,6,6,28,24,4,4,4,18,12
,6,12,60,4,12,4,6,2,3,3,2,6,12,4,4,4,6,2,2,6,2,2,2,3,1,1,1,3,1,4,6,2,2,2,2,2,1
,1,1,2,1,1],[16216200,45360,1440,3000,324,2520,240,120,96,48,72,36,8,1260,36,8
,36,6,6,120,8,12,4,120,24,24,4,4,8,4,4,4,4,8,12,4,4,36,3,2,8,4,4,12,4,4,4,4,4,
2,2,2,2,12,2,6,1,1,1,4,4,4,2,2,2,2,2,1,1,2,1,1],[16216200,37800,360,840,226800
,22680,120,280,24,72,24,8,2520,72,280,24,720,48,120,24,8,8,24,280,120,24,24,24
,24,24,8,8,8,22680,16,720,16,16,8,120,8,8,8,8,8,8,24,8,24,24,8,120,24,16,16,8,
24,8,8,8,8,120,8,8,16,8,8,8,8],[16216200,37800,360,840,226800,22680,120,280,24
,72,24,8,1680,144,120,24,720,48,120,24,8,8,24,120,80,24,8,8,8,24,24,24,16,8,8,
22680,16,360,24,48,8,60,4,4,12,4,12,8,8,8,4,8,12,8,4,120,24,8,8,8,4,8,4,4,4,4,
4,8,60,12,12,8,4,4,4,4,4],[16216200,68040,1800,2760,226800,22680,2520,120,440,
840,72,264,216,56,72,216,72,56,40,8,2160,240,360,120,120,24,24,40,24,40,24,24,
40,24,72,24,72,72,24,40,8,24,72,40,8,8,8,8,8,40,8,8,8,8,8,22680,288,48,48,32,
16,72,24,24,16,8,24,24,24,24,16,8,40,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,360,
120,48,16,16,16,24,8,8,8,8,8,8,8,8,72,24,24,16,8,16,8,24,8,8,8,8],[16216200,
37800,3240,1800,226800,22680,480,200,280,24,264,312,40,288,128,40,8,720,432,
420,120,216,8,24,40,24,24,112,24,24,84,96,40,8,24,84,40,20,8,8,8,8,4,4,4,4,4,
20,8,8,4,4,4,22680,192,16,32,16,84,96,24,16,8,8,16,8,84,20,4,4,4,4,4,8,4,4,4,4
,8,4,4,4,4,8,4,4,4,4,8,4,4,4,120,216,168,16,16,8,8,84,8,4,8,4,4,4,4,4,4,4,96,8
,16,8,8,4,84,8,4,8,4,4],[16216200,83160,1080,3240,226800,45360,2520,360,720,
1160,120,312,144,64,216,72,24,420,36,2880,144,720,120,144,24,64,64,24,360,72,
24,120,72,24,24,24,24,72,420,20,36,12,12,12,12,4,12,4,20,4,12,12,12,4,22680,
1080,288,80,24,48,360,72,24,64,24,24,24,24,24,20,12,12,12,4,4,4,4,4,4,4,4,12,
12,4,4,4,4,4,12,4,4,4,480,72,48,24,48,8,8,24,24,4,12,4,4,4,4,4,4,4,180,72,40,
12,12,8,4,24,12,4,12,4,4],[16216200,128520,360,3240,1890,22680,12600,360,2280,
168,232,24,24,504,72,840,24,90,90,18,360,1800,24,24,24,24,24,168,136,168,408,
72,840,120,24,24,24,8,8,8,120,24,8,8,630,54,18,18,10,6,6,6,360,72,120,136,24,
24,24,120,24,24,24,8,8,8,8,8,8,8,8,24,8,8,90,18,30,6,6,6,6,2,2,2,120,24,8,24,8
,8,8,8,8,18,6,10,18,6,6,2,2,8,6,6,2,6,2,2,2,2],[16216200,37800,1800,1320,
226800,22680,120,200,280,24,168,216,40,72,56,840,72,720,240,120,120,8,24,40,24
,24,40,24,24,24,40,8,24,40,8,24,24,24,8,22680,48,16,32,96,24,24,16,8,8,16,8,40
,8,8,8,24,8,8,8,120,120,16,16,8,8,8,8,8,24,8,16,24,16,8,8,8,8],[16216200,52920
,1080,1800,226800,45360,360,480,600,72,216,144,48,24,420,36,40,8,1440,144,480,
144,48,48,360,72,24,24,24,24,40,20,8,8,8,4,12,12,12,4,8,8,22680,1080,48,24,48,
16,360,48,24,24,24,20,4,4,4,4,12,8,8,8,8,4,4,4,240,72,24,16,8,24,8,4,4,4,4,4,
180,24,12,12,8,8,4,12,8,4,4],[16216200,37800,1800,1320,226800,22680,120,200,
280,24,168,216,40,72,56,80,16,720,240,120,120,8,24,40,24,24,40,24,24,24,40,8,
24,40,16,16,8,8,8,22680,48,16,32,32,24,24,16,8,8,16,8,20,4,4,4,16,8,8,8,120,
120,16,16,8,8,4,4,4,24,8,16,16,8,4,8,8,4],[16216200,52920,1560,2280,7560,2520,
840,240,360,24,152,96,32,72,56,120,8,120,72,24,840,120,16,120,24,8,24,24,56,56
,8,8,8,120,120,8,8,8,8,8,120,8,120,120,8,8,8,8,8,2520,120,8,56,8,8,120,120,8,8
,8,8,8,8,8,8,8,8,8,120,8,8,8,8,8,8,8,8,120,120,24,24,8,8,120,120,8,8,8,8,8,8,8
,8,8,8,120,8],[16216200,37800,360,6600,226800,22680,600,280,216,72,24,40,288,
144,144,40,8,576,720,48,120,24,48,40,8,16,32,24,48,144,16,24,24,8,8,40,8,8,8,8
,24,16,8,8,22680,16,96,32,16,16,8,16,8,24,24,8,8,8,8,8,8,8,16,8,8,8,8,8,8,144,
120,24,16,16,16,8,8,8,8,8,8,8,8,16,24,8,8,16,8,8,8,8,8],[16216200,128520,360,
5160,226800,22680,7560,360,1000,168,168,24,24,360,72,1680,144,10080,432,720,48
,120,360,24,24,24,8,8,72,40,72,72,24,1260,180,108,36,36,12,12,20,12,4,80,8,24,
24,24,16,22680,16,360,48,48,24,24,8,48,24,8,8,24,12,8,4,60,12,4,4,4,4,12,12,12
,12,4,4,12,4,4,4,12,12,8,4,8,12,4,1260,108,120,24,8,8,48,8,8,4,4,4,4,4,8,4,12,
4,4,4,8,60,12,12,12,12,4,12,8,4,4,4,4,12,4,4],[16216200,52920,1560,5160,1890,
2520,360,480,360,120,152,96,48,216,72,24,2100,132,180,36,24,30,18,6,120,24,16,
16,8,120,24,24,24,24,24,8,8,8,24,120,48,48,24,24,8,24,8,180,4,12,36,20,20,630,
2,18,6,6,2,4,4,6,2,6,6,8,8,8,120,12,8,8,4,12,12,4,4,8,4,4,12,12,8,8,4,4,8,24,4
,8,12,12,4,60,24,12,30,6,6,2,2,6,2,6,2,2,8,4,4,4,4,8,4,12,4,4,4,2,4,4,2,6,6,6,
2,2,6,2,2,4,2,2,2,6,2,2,2,2],[16216200,68040,360,2280,226800,22680,2520,360,
840,72,168,24,24,216,72,144,32,2160,48,360,120,24,24,24,24,24,72,24,72,72,72,
32,8,24,16,16,16,22680,288,48,32,72,24,24,24,24,24,8,16,8,8,8,16,8,360,24,48,
16,24,8,8,8,8,72,24,16,16,8,24,8,8],[16216200,196560,3960,226800,45360,17640,
360,840,2520,288,72,3360,72,120,15120,216,1800,840,1800,360,216,72,3360,360,72
,48,48,120,24,12,120,360,24,48,22680,1080,72,1080,120,72,360,24,360,180,72,120
,120,12,12,12,120,360,12,24,24,24,36,48,36,24,36,12,12,1890,54,360,24,300,72,
72,24,24,24,120,12,12,24,36,12,12,12,12,180,18,180,30,18,60,6,24,12,60,6,18,18
,6,6,6,6],[16216200,136080,4920,1890,90720,6300,1080,1440,2040,204,72,2520,96,
120,630,180,18,60,54,1440,600,1080,108,72,2520,240,96,48,48,120,36,12,120,240,
36,48,630,54,6,60,18,6,18,18,18,6,1080,60,72,120,120,12,12,12,120,240,12,36,36
,36,24,48,24,36,24,12,12,630,60,18,18,6,60,18,18,6,6,6,6,120,12,12,36,24,12,12
,12,12,18,6,60,18,18,6,6,6,6,6,12,6,6,18,6,6,6,6,6],[16216200,90720,2160,3480,
1890,22680,6300,360,840,240,216,40,204,72,24,1260,132,8,90,54,12,60,54,180,600
,144,20,12,36,72,24,12,36,630,150,42,6,42,42,30,10,6,8,10,4,60,8,4,24,36,12,12
,630,54,6,6,18,18,4,2,2,6,60,18,6,12,12,6,4,4,4,2,4,60,6,8,4,8,8,6,4,2,2,24,6,
6,12,12,10,6,18,6,2,6,6,4,2,30,12,18,2,2,60,18,2,18,6,2,2,4,4,2,2,6,6,2,6,4,6,
2,2,2,2,2,18,6,4,6,2,6,6,2,6,2,2,2,2,6,2,2,2,6,2],[16216200,75600,960,4920,
1890,6300,360,480,600,96,192,32,64,204,72,16,840,144,120,90,18,24,60,18,12,600
,32,16,16,120,48,60,16,8,24,120,24,72,24,8,16,120,24,12,4,120,8,12,24,24,16,
630,6,2,6,2,6,4,4,6,2,18,6,60,8,8,12,12,8,8,4,120,12,12,12,8,4,4,4,24,16,8,8,8
,4,8,12,4,30,24,6,6,2,60,12,6,2,2,2,6,2,12,8,4,4,8,12,4,4,4,6,2,4,4,2,2,6,6,2,
6,2,2,4,6,2,2,2,2,2,2,2],[16216200,120960,1680,3480,1890,68040,6300,600,1320,
144,200,24,204,72,24,2100,108,8,630,180,36,6,60,18,12,540,600,144,12,4,12,96,
24,12,60,1890,210,54,18,30,30,26,6,6,8,10,4,180,8,4,24,36,12,4,630,6,2,60,18,6
,6,2,12,6,2,6,60,54,2,12,12,6,4,4,4,2,4,180,6,8,4,8,8,6,4,2,2,24,18,18,12,4,6,
2,18,18,2,2,6,4,2,630,60,6,12,2,2,60,12,6,2,6,2,2,6,4,4,2,2,18,6,2,2,4,6,2,2,2
,2,2,6,2,60,12,6,6,6,2,2,2,2,2,2,2,2,2,6,2,2,2,2],[16216200,60480,2160,3960,
1890,22680,1260,360,600,48,240,216,40,252,72,24,2100,108,120,270,54,90,180,144
,20,12,36,24,48,24,12,36,210,90,54,42,6,30,42,14,6,12,8,10,120,180,4,24,36,12,
4,630,54,18,54,18,30,18,6,18,12,6,12,60,12,6,4,4,4,2,12,6,8,8,8,6,4,2,2,6,18,
12,12,4,10,2,8,18,18,2,2,12,6,2,90,18,18,6,30,18,18,6,6,6,6,4,4,2,6,2,6,2,4,2,
2,2,2,6,2,18,6,10,18,6,6,2,6,2,6,2,6,6,2,2,2,2],[16216200,105840,5400,1890,
90720,1260,1080,1440,1800,48,252,72,840,144,8,630,30,90,1440,1080,24,84,72,840
,144,48,48,16,36,8,4,8,36,48,16,630,54,18,18,30,6,2,6,1080,72,12,8,4,8,4,4,36,
36,36,8,4,48,16,8,8,36,8,4,4,630,30,2,2,30,18,6,6,2,2,8,4,4,36,8,4,4,4,4,18,6,
6,18,30,2,2,2,4,2,2,18,6,2,2,2,2],[16216200,45360,960,5400,1890,1260,360,480,
360,144,192,32,64,252,72,16,2520,96,8,270,18,12,54,12,32,16,16,120,48,24,36,16
,8,24,120,72,24,8,24,16,24,8,4,4,240,8,8,12,24,24,630,18,2,54,2,18,4,6,2,6,12,
8,8,120,12,8,4,4,12,12,8,4,8,4,4,4,24,16,8,8,8,24,4,12,4,90,12,6,2,2,12,18,18,
2,2,2,6,8,4,4,4,8,4,12,4,4,6,2,4,6,6,18,2,2,6,2,4,2,2,2,6,2,6,2,2],[16216200,
90720,1680,3960,1890,68040,1260,600,1080,48,144,200,24,252,72,24,1260,132,120,
630,36,18,54,12,540,144,12,4,12,24,72,24,12,60,630,30,90,30,18,26,30,18,6,12,8
,10,120,60,4,24,36,12,12,630,18,2,6,2,12,18,6,18,6,54,12,2,12,60,12,6,4,4,4,2,
12,6,8,8,8,6,4,2,2,18,6,12,4,12,6,6,8,18,6,2,6,12,6,2,630,18,12,6,2,12,18,2,6,
2,6,2,6,4,4,2,6,2,2,6,4,2,2,2,2,6,2,6,2,12,6,18,2,2,6,6,2,2,2,2,2,6,6,2,2,2],[
16216200,181440,720,3480,226800,22680,17640,320,1800,144,72,24,288,72,8,2100,
108,8,15120,216,1080,96,180,1800,48,12,12,36,180,8,4,36,1890,250,54,18,54,30,
18,6,6,8,6,4,180,8,4,12,36,12,12,22680,72,8,1080,72,24,24,8,8,24,180,18,6,4,12
,6,4,4,4,2,4,180,6,8,4,4,4,2,4,2,2,36,18,18,12,12,6,6,6,18,2,6,6,4,2,1890,54,8
,4,180,48,72,4,4,4,24,4,4,2,2,18,2,2,6,4,6,2,2,2,2,2,18,4,180,12,18,6,4,4,6,4,
2,4,2,18,2,2,6,2,2],[16216200,105840,5400,226800,45360,2520,360,840,1800,144,
432,72,840,144,8,5040,360,1800,840,360,72,144,72,840,144,48,48,24,24,8,4,8,24,
48,24,22680,1080,72,120,72,24,8,24,360,72,36,8,4,8,4,4,24,24,24,8,4,48,24,12,
12,24,12,4,4,630,90,8,4,300,72,12,24,4,4,8,4,4,24,12,4,4,4,4,180,18,12,30,18,4
,6,4,4,4,2,18,6,2,2,6,2],[16216200,90720,720,4920,226800,22680,2520,320,1080,
144,144,72,24,432,72,8,2100,108,120,5040,360,1080,96,180,48,12,12,36,72,108,8,
4,36,630,70,90,54,18,18,30,18,6,12,8,6,120,180,4,12,36,12,12,22680,72,8,72,24,
24,24,8,360,24,18,36,6,4,60,12,6,4,4,4,2,12,6,8,4,4,2,4,2,2,18,18,12,12,12,6,6
,12,6,18,2,6,12,6,2,630,90,24,8,180,48,12,4,4,24,4,6,4,4,2,2,2,6,6,4,2,2,2,2,6
,2,18,4,12,12,18,6,4,60,6,4,2,6,4,6,2,6,2,2,2],[16216200,105840,5400,1890,
45360,2520,360,840,1800,144,432,72,840,144,8,630,30,90,840,360,72,144,72,840,
144,48,48,24,24,8,4,8,24,48,24,135,54,18,18,30,6,2,6,360,72,36,8,4,8,4,4,24,24
,24,8,4,48,24,12,12,24,12,4,4,45,5,2,2,15,18,6,6,2,2,8,4,4,24,12,4,4,4,4,9,9,5
,3,3,1,3,2,4,1,1,3,3,1,1,3,1],[16216200,90720,2160,3480,81,22680,6300,360,840,
240,216,40,204,72,24,1260,132,8,9,9,3,81,3,180,600,144,20,12,36,72,24,12,36,
630,150,42,6,42,42,30,10,6,8,10,4,60,8,4,24,36,12,12,9,81,3,9,1,9,3,1,3,3,60,
18,6,12,12,6,4,4,4,2,4,60,6,8,4,8,8,6,4,2,2,24,6,6,12,12,10,6,18,6,2,6,6,4,2,3
,3,1,3,1,9,3,9,1,3,1,1,4,4,2,2,6,6,2,6,4,6,2,2,2,2,2,9,3,3,1,1,3,1,1,3,1,2,1,1
,3,1,1,1,3,1],[16216200,128520,3240,6120,56700,45360,6300,360,1200,2280,360,
936,432,192,540,180,72,840,72,3780,540,216,720,180,1200,360,432,72,192,192,72,
360,216,72,360,180,72,72,72,72,180,840,60,72,24,24,36,36,12,24,12,60,12,24,24,
36,12,540,18,36,54,60,18,48,270,180,144,60,84,72,108,48,54,18,36,18,90,6,18,6,
360,180,72,192,72,72,72,72,72,60,24,24,24,12,12,12,12,12,12,12,12,24,36,12,12,
12,12,12,24,12,12,12,90,18,6,6,6,6,6,6,6,6,48,18,36,18,72,108,18,48,48,48,18,
18,18,54,18,60,18,36,36,36,36,18,18,18,6,18,6,6,6,18,6,6,6,6,6,18,6,6,6,6,6,6,
6,72,72,12,24,12,12,12,12,12,12,12,36,18,18,18,36,36,36,48,18,18,18,6,18,6,6,6
,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,36,18,6,6,
6,6,6,6,6,6,6,6,6,6,6,6],[16216200,204120,1080,7080,56700,22680,25200,720,5160
,504,696,72,72,1320,180,1260,60,6300,180,288,1080,132,720,4200,72,72,72,72,72,
504,408,504,1080,180,1260,240,60,60,60,24,24,24,240,60,24,24,270,180,96,84,18,
18,900,132,108,84,216,54,18,18,96,72,18,90,6,6,18,960,180,360,408,72,72,72,240
,60,60,60,24,24,24,24,24,24,24,24,60,24,24,90,6,6,6,6,18,6,6,6,6,60,18,72,18,
54,18,18,18,18,18,18,18,180,96,72,84,60,72,60,72,18,18,18,6,6,6,6,6,6,6,18,6,
18,6,6,6,6,6,6,6,6,360,72,24,60,24,24,24,24,24,60,18,60,72,60,60,18,18,18,18,
18,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
24,60,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6],[16216200,68040,4680,3720,56700,45360,
720,720,1080,216,744,432,144,144,120,24,1260,780,108,540,156,420,720,432,144,
144,360,216,84,144,72,72,72,120,60,24,24,12,12,12,60,24,12,12,540,72,36,36,156
,108,36,36,36,108,36,72,12,12,360,84,144,72,72,72,60,12,12,60,12,12,24,12,12,
12,12,12,6,6,12,42,36,36,36,108,36,36,36,36,42,72,36,36,36,12,6,12,6,12,6,6,6,
72,60,12,12,12,12,12,36,42,36,36,36,36,12,6,6,6,6,6,6,6,6,6,6,6,12,36,6,6,6,6,
6,6,6],[16216200,98280,3240,4680,56700,45360,2520,360,720,1640,264,744,432,144
,216,72,840,72,40,8,1260,540,180,900,108,720,120,432,144,144,360,72,24,264,72,
72,72,72,72,840,40,72,24,24,24,24,8,40,8,8,8,40,40,8,8,8,24,24,8,540,72,36,44,
36,108,132,44,60,36,108,36,24,36,8,4,24,4,360,24,144,72,72,72,40,40,8,8,8,8,8,
40,40,8,8,8,8,8,24,24,8,8,8,8,8,8,8,8,4,8,4,4,4,12,36,36,36,108,36,36,36,24,44
,12,36,36,36,36,12,24,4,4,8,4,4,4,8,4,4,4,4,4,4,72,40,8,8,8,8,8,8,8,8,8,36,12,
36,36,36,36,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,36,4,4,4,4,4,4,4,4
,4,4,4],[16216200,189000,1800,4680,56700,25200,120,80,4200,360,456,96,32,960,
24,96,40,8,6300,300,180,900,108,4200,16,40,360,360,360,960,24,8,8,8,32,48,40,
16,8,8,8,8,40,8,8,8,8,16,16,180,12,60,60,8,900,108,60,60,180,24,8,60,60,12,8,4
,24,4,960,360,360,8,16,16,8,8,40,16,8,8,8,8,8,8,8,8,16,8,8,8,8,4,4,4,4,60,60,4
,8,180,60,60,60,60,60,12,4,4,4,60,60,8,4,4,8,4,4,4,24,4,4,4,4,4,4,360,16,8,8,8
,8,8,8,8,60,60,60,60,60,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,60,4
,4,4,4,4,4,4,4,4,4,4],[16216200,113400,1080,6600,56700,22680,6300,880,1800,312
,504,72,88,660,240,420,84,40,8,3780,180,252,540,156,720,360,72,96,88,72,80,216
,88,216,180,200,80,48,16,24,16,8,16,4,8,40,20,8,8,8,4,8,12,12,12,270,18,66,36,
24,22,270,108,72,52,72,66,18,22,66,22,24,8,4,12,12,4,180,72,72,80,72,20,8,8,4,
4,4,4,4,16,8,8,4,4,4,4,8,8,12,8,8,4,4,8,8,4,4,8,2,4,4,2,2,4,2,18,18,20,54,18,
24,22,18,18,20,20,18,54,18,36,22,18,20,20,12,4,2,2,4,4,4,4,4,2,2,12,4,2,2,4,4,
2,2,4,2,2,72,8,4,4,4,8,4,4,4,4,4,18,18,18,18,18,20,18,4,4,2,2,2,4,2,2,2,4,2,2,
2,4,2,2,2,2,4,2,2,2,2,2,4,2,2,4,2,2,2,2,2,2,2,2,4,18,2,2,2,2,2,2,2,2,2,2,2,4,2
,2,2],[16216200,128520,360,2280,226800,22680,7560,120,1000,72,168,24,8,216,
2940,108,120,8,10080,144,720,48,120,360,24,8,8,72,24,72,72,1260,60,36,12,12,12
,12,4,120,380,8,8,8,4,12,84,36,28,22680,16,360,48,24,8,360,8,48,24,8,60,12,4,4
,4,4,60,12,12,4,4,4,4,4,12,72,8,4,4,24,28,24,12,8,4,1260,36,120,24,8,48,8,8,8,
24,4,8,4,4,4,4,12,4,4,4,8,60,12,4,12,60,4,12,8,4,4,4,12,4,4,4],[16216200,98280
,840,2280,1890,68040,2520,360,840,72,200,72,24,72,2100,132,120,8,630,90,18,6,
30,18,6,360,120,72,24,24,24,8,72,24,1260,60,36,12,12,12,12,4,120,180,8,8,8,12,
36,60,44,20,630,2,30,6,6,2,2,6,18,2,6,6,8,24,60,12,4,4,4,4,60,12,12,4,4,4,4,4,
36,24,8,12,12,8,20,24,12,8,4,630,30,6,6,30,6,6,2,6,2,6,2,2,2,8,12,8,4,4,4,4,12
,4,4,4,2,30,6,2,2,2,6,6,2,6,2,2,4,2,2,6,2,2,2,2,2],[16216200,45360,3480,56700,
2520,120,320,120,72,36,1260,84,40,32,144,540,60,120,40,12,120,24,24,40,12,12,
40,8,12,16,72,12,12,8,24,8,4,180,4,16,48,4,8,8,40,12,12,12,12,24,8,4,4,12,4,4,
4,4,4,8,4,8,4,8,12,4,4,4,4,4,8,4,4,4,4,4,4],[16216200,45360,3480,56700,2520,
120,320,120,72,36,1260,180,200,144,540,60,120,40,12,120,24,24,40,12,12,40,80,
24,12,72,12,12,8,24,8,4,180,20,20,40,24,40,12,12,12,12,24,8,4,4,12,4,4,4,4,4,8
,4,8,40,12,12,8,4,4,4,4,4,4,12,4,4,4,4],[16216200,45360,1440,2040,56700,2520,
120,200,120,96,96,48,48,16,216,40,240,72,540,60,120,32,8,40,16,8,24,24,40,40,
24,8,4,72,12,12,8,24,16,12,12,12,8,24,4,8,24,8,8,40,8,4,8,4,12,4,8,4,8,4,4,4,8
,4,4,8,12,4,4,8,4,4,4,4,4,4,4,4,4,4],[16216200,136080,2040,56700,13860,120,80,
1560,180,72,40,32,5040,72,540,60,1560,40,180,24,40,12,40,12,16,4,72,12,12,8,
540,72,12,12,8,16,4,180,12,12,8,40,12,4,8,4,12,4,72,12,12,4,8,4,4,4,12,8,4,12,
4,4,4,4,4,4,4,4,4,4,4],[16216200,45360,2520,56700,2520,840,320,120,24,12,420,
12,120,540,252,840,120,120,4,40,8,8,120,120,4,4,120,120,120,4,4,72,84,24,12,12
,32,12,12,12,120,120,4,4,4,120,4,4,4,4,84,12,12,4,8,8,12,4,12,4,4,12,12,4,12,4
,120,4,4,4,4,12,4,4,4,12,4,12,4,4,4,4,12,4,4,4,4,4],[16216200,128520,360,2280,
226800,22680,7560,120,1000,72,168,24,8,216,1260,108,40,24,10080,144,720,48,120
,360,24,8,8,72,24,72,72,1260,60,36,12,12,12,12,4,40,60,24,8,8,4,12,12,12,12,16
,16,22680,16,360,48,24,8,16,16,24,8,12,8,4,4,8,60,12,12,4,4,4,4,4,8,16,8,8,4,4
,1260,36,120,24,8,8,16,8,4,4,4,4,8,4,8,60,12,4,12,8,8,8,4,4,8,4,4],[16216200,
37800,360,3720,226800,22680,360,280,120,72,24,24,144,72,420,180,16,288,720,48,
120,24,24,24,8,8,16,24,24,72,8,12,4,20,16,12,36,12,12,20,8,8,22680,16,48,16,8,
16,48,8,8,12,8,4,4,4,12,4,4,4,4,8,12,8,12,4,4,72,120,24,8,8,8,4,4,12,4,4,4,4,8
,8,12,4,8,12,8,4,4,4,4,4],[16216200,75600,1080,56700,45360,2520,360,360,440,
840,144,40,900,108,360,120,360,840,40,40,40,40,24,12,540,72,36,44,36,16,24,4,
360,40,40,24,40,40,12,12,36,36,24,4,4,8,4,4,4,40,12,12,36,8,4,4,4,4,4,12,4,4,4
,4],[16216200,75600,1080,56700,6300,120,80,600,60,24,40,32,900,108,600,40,60,8
,40,4,40,4,16,12,180,12,60,60,8,16,24,4,60,4,4,8,40,4,12,60,60,4,8,4,4,8,4,4,4
,4,8,12,60,4,4,4,4,4,4,4,4,4,4,4],[16216200,166320,5400,56700,45360,13860,360,
1080,2840,396,108,2100,108,40,5040,216,900,108,1080,1560,360,252,108,2100,280,
108,60,60,40,36,12,40,280,36,60,540,72,36,44,36,540,120,72,36,20,12,180,12,24,
4,360,180,108,40,40,12,12,12,40,280,12,36,36,36,36,60,36,36,36,12,12,180,24,12
,12,12,4,12,12,36,36,72,72,12,20,12,12,24,4,4,24,4,24,4,4,12,12,4,4,40,12,12,
36,36,12,12,12,12,36,12,12,24,4,4,4,12,4,4,4,12,4,12,12,12,4,4,4,4,4,4,4,4,4,
12,4,12,4,4,4,4,4,4,4,4],[16216200,75600,1440,5400,56700,6300,120,440,600,96,
288,48,80,276,108,16,1260,132,40,240,216,900,108,600,32,24,24,40,72,60,16,8,36
,180,24,80,36,12,20,40,16,12,4,40,8,4,36,24,24,180,12,60,60,8,72,16,36,12,20,
24,8,12,180,12,24,4,60,12,8,4,4,8,8,4,40,12,12,4,8,4,4,4,36,24,12,12,8,4,12,12
,4,12,12,12,36,8,12,4,60,60,4,8,12,12,24,8,4,12,8,4,4,24,4,8,4,4,12,12,4,4,4,8
,4,4,12,12,4,4,4,60,4,12,8,4,4,4,12,4,4,4,12,4,12,12,12,4,4,4,4,4,4,4,4,4,4,4,
12,4,4,4,4,4,4,4,4],[16216200,90720,2160,4440,56700,22680,2520,280,1080,144,
240,216,40,408,60,24,1680,120,40,2520,360,144,540,156,180,144,20,12,36,72,108,
24,12,32,630,50,66,46,18,30,42,22,2,4,8,10,40,140,4,20,48,12,12,270,18,66,36,
24,22,90,48,36,24,36,6,54,10,30,18,12,4,180,12,12,12,4,18,36,6,12,20,8,2,4,4,4
,2,4,2,8,8,8,6,4,2,2,18,14,12,12,12,10,6,12,18,18,2,6,12,6,2,90,30,6,6,8,6,6,
10,6,8,18,18,20,36,6,4,4,2,12,12,12,12,6,6,6,2,12,4,2,2,4,12,12,2,2,12,4,2,4,2
,12,6,6,4,2,2,2,4,4,2,6,2,6,6,4,2,2,2,2,6,2,18,6,6,2,12,4,2,2,2,2,2,2,6,6,2,4,
2,2,8,6,6,6,6,6,6,8,4,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,6,6,2,2,2,2,2,4,2,2,2,2,
2,2,2],[16216200,136080,2880,2040,56700,13860,120,80,1560,192,180,48,120,40,16
,5040,480,72,540,60,1560,40,180,24,16,24,48,40,8,8,12,16,8,8,40,16,20,8,8,72,
12,12,8,540,72,48,12,12,24,8,8,48,4,180,20,12,8,40,12,16,8,8,8,8,8,8,8,4,4,12,
4,72,12,8,12,12,4,4,48,4,8,8,4,4,4,8,4,8,12,8,4,8,12,4,4,8,4,4,4,8,8,8,4,4,4,4
,4,4,8,4,4,4],[16216200,45360,4320,2040,56700,2520,120,200,120,96,96,240,48,64
,72,200,16,720,72,540,60,120,32,8,40,24,16,16,8,24,24,40,40,8,16,16,8,40,80,16
,8,8,8,72,12,12,8,24,16,12,60,12,32,8,8,20,8,40,8,8,8,40,16,8,8,16,8,8,8,8,4,8
,4,12,4,8,4,12,8,8,4,4,4,20,8,8,4,4,4,8,4,8,8,8,40,8,4,4,4,8,4,4,4,4,8,4,4,4,4
,8,4,4,4,4,4,4],[16216200,15120,2880,3960,56700,480,200,40,144,96,48,80,72,40,
840,120,32,480,144,180,108,420,32,8,40,8,12,24,8,24,40,24,20,16,16,20,12,4,8,
40,60,8,8,20,4,48,4,8,24,24,12,12,20,8,20,16,24,12,8,40,20,8,4,8,20,8,4,8,4,8,
16,4,8,4,4,2,10,8,42,4,8,4,4,6,12,4,4,2,4,2,8,8,6,4,4,10,4,6,4,4,4,4,8,20,4,4,
4,2,2,2,4,2,8,2,4,2,4,4,4,4,4,2,2,4,2,2,4,2,2,2,2,2],[16216200,68040,360,5160,
226800,22680,2520,600,840,168,168,24,40,360,144,1260,108,120,8,288,2160,48,360
,120,24,48,40,24,32,72,40,72,72,96,120,72,24,24,16,12,24,4,8,120,60,8,8,8,4,12
,12,12,12,22680,288,48,48,16,8,360,8,72,24,24,32,24,60,12,12,4,4,4,4,4,24,12,8
,4,4,4,4,8,8,12,12,8,4,4,8,8,4,4,72,48,8,360,24,48,8,8,24,12,4,4,4,8,4,4,4,4,4
,72,24,8,12,4,60,4,8,4,24,12,4,4,4,4],[16216200,143640,1080,3240,226800,45360,
7560,360,480,1320,120,312,144,48,216,24,2520,72,120,8,10080,144,1440,144,480,
360,144,48,48,360,72,24,120,72,24,24,24,24,2520,120,72,24,24,24,24,8,120,8,8,8
,120,120,8,8,8,24,24,8,22680,1080,48,24,360,48,24,8,360,8,360,24,48,24,24,24,
120,120,8,8,8,8,8,120,120,8,8,8,8,8,24,24,8,8,8,8,8,8,8,1260,36,360,8,8,8,240,
72,24,8,8,24,120,8,8,8,8,8,8,8,8,8,180,24,12,60,12,4,12,60,4,8,8,12,60,4,4,4,4
,4,4],[16216200,37800,1800,4200,226800,22680,120,440,280,120,168,216,56,72,144
,72,56,1260,108,120,8,288,720,240,120,120,24,24,24,8,40,24,24,40,24,16,24,24,
40,8,24,24,72,24,24,8,24,16,8,8,8,120,60,8,8,8,4,12,12,12,12,22680,48,16,32,48
,16,8,360,8,24,24,16,8,8,8,16,8,60,12,4,8,4,8,4,12,12,16,4,4,8,4,4,4,8,8,8,8,8
,8,8,4,4,72,16,8,120,120,16,8,8,8,8,8,4,4,8,4,4,4,4,4,24,8,16,8,12,4,60,4,8,4,
8,8,4,4,4,4],[16216200,128520,1800,2760,226800,22680,7560,120,200,1000,72,264,
216,40,72,216,56,1260,108,16,10080,144,720,240,120,360,120,8,24,40,24,24,40,24
,72,24,72,72,24,40,8,24,1260,60,36,12,36,36,12,4,12,16,4,8,8,60,16,4,12,12,12,
12,8,8,22680,48,16,32,360,48,24,8,16,24,24,16,8,24,8,16,8,8,8,8,8,8,60,12,16,4
,4,4,12,12,12,4,4,4,4,8,8,8,8,8,4,4,1260,36,16,8,120,120,16,8,8,8,8,8,4,4,8,4,
4,4,4,4,24,8,16,60,12,4,12,8,8,4,8,8,4,4,4,4],[16216200,52920,1080,4680,226800
,45360,360,720,600,168,216,144,64,144,72,24,144,16,288,1440,144,480,144,24,64,
48,8,360,16,72,24,24,24,24,24,144,16,24,16,8,8,8,16,8,24,16,8,8,22680,1080,48,
24,48,16,8,16,360,48,8,24,24,24,16,16,8,8,24,16,8,8,8,8,16,8,8,8,8,8,72,16,8,
240,72,24,8,8,24,16,8,8,8,8,8,8,180,24,12,8,12,4,8,8,8,12,8,4,4,4,4],[16216200
,68040,360,5160,1890,22680,2520,600,840,168,168,24,40,360,144,1260,108,120,8,
180,12,30,54,18,360,120,24,48,40,24,32,72,40,72,72,96,120,72,24,24,16,12,24,4,
8,120,60,8,8,8,4,12,12,12,12,630,54,6,6,18,6,4,2,18,2,72,24,24,32,24,60,12,12,
4,4,4,4,4,24,12,8,4,4,4,4,8,8,12,12,8,4,4,8,8,4,4,60,12,18,2,2,2,30,18,18,6,2,
2,24,12,4,4,4,8,4,4,4,4,4,18,6,6,4,2,6,6,6,2,2,4,6,6,2,2,2,2,2,2],[16216200,
113400,1560,3240,1890,12600,360,240,1800,120,216,96,32,360,24,144,120,8,36,12,
90,54,6,1800,16,120,120,120,120,360,24,8,8,8,48,48,120,24,8,8,8,8,120,8,8,8,8,
24,16,630,18,18,6,6,2,4,6,18,2,360,120,120,8,24,24,8,8,120,24,8,8,8,8,8,8,8,8,
16,8,8,12,12,6,6,2,2,90,6,18,6,2,2,120,24,8,8,8,8,8,8,8,6,6,18,4,6,2,2,6,2,2,8
,6,6,2,2,2,2,2,2],[16216200,75600,2880,1080,56700,45360,2520,360,360,440,192,
48,840,40,48,480,900,108,360,120,360,24,16,840,40,40,8,24,32,8,40,40,16,24,8,
540,72,36,44,36,48,24,24,24,4,360,40,40,24,40,40,16,24,8,8,8,16,12,12,36,36,12
,8,24,4,4,4,4,8,12,4,4,4,8,40,24,8,8,36,4,12,8,12,4,4,4,4,4,4,8,4,12,4,4,4,4],
[16216200,75600,2880,1080,56700,6300,120,80,600,192,60,48,168,40,16,480,900,
108,600,40,60,24,16,8,48,40,8,8,4,16,8,8,40,16,28,8,8,180,12,60,60,8,48,24,16,
8,24,4,60,28,4,8,40,4,16,8,8,8,8,8,16,8,8,4,60,60,4,12,8,8,4,4,4,4,8,4,8,4,4,4
,8,4,8,12,8,60,4,8,8,8,8,4,4,4,4,4,4,4,4,4,8,4,4,4,4],[16216200,45360,1440,
3000,56700,45360,720,360,360,48,32,72,24,72,120,32,240,72,540,156,420,360,360,
8,12,8,72,120,8,60,16,12,4,12,8,60,8,8,8,20,4,540,72,36,36,8,8,8,12,8,16,12,
360,60,8,8,12,60,8,4,8,12,8,4,8,4,4,4,8,6,6,8,42,36,36,4,6,4,12,6,4,2,2,4,10,4
,6,4,4,60,12,8,4,4,4,36,2,2,4,4,6,4,6,4,4,6,6,4,2,2,4,6,6,4,2,2,2,2,2],[
16216200,68040,1800,2760,56700,2520,120,80,840,72,264,96,32,216,24,200,40,1260
,300,108,540,60,120,16,40,72,24,72,72,24,8,8,8,40,8,8,8,40,80,8,8,40,16,16,72,
12,12,8,60,36,12,36,24,8,24,12,20,20,24,8,40,8,8,40,8,8,8,8,8,8,16,4,4,12,4,8,
24,12,12,12,4,4,4,12,4,20,4,8,4,4,8,4,8,40,8,8,8,8,12,4,4,4,4,4,4,4,4,4,8,4,4,
8,4,4,4,4,4,4],[16216200,68040,1800,2760,56700,2520,120,80,840,72,264,96,32,
216,24,192,40,8,1260,300,108,540,60,120,16,40,72,24,72,72,24,8,8,8,40,8,8,8,40
,8,8,8,16,32,32,72,12,12,8,60,36,12,36,24,8,24,12,16,4,48,4,24,8,32,16,40,8,8,
8,8,8,8,16,4,4,12,4,8,24,12,12,12,4,4,4,12,4,16,4,4,8,4,4,8,4,8,16,8,8,16,12,4
,4,4,8,4,4,4,8,4,8,4,8,8,4,8,4,4,4,4],[16216200,37800,3240,1800,56700,480,80,
280,24,264,96,32,96,840,72,120,24,1260,540,36,180,108,420,16,40,24,84,96,8,8,8
,40,20,8,8,4,4,4,40,60,24,24,24,8,12,12,48,4,8,108,12,4,12,24,8,48,8,12,24,12,
84,8,40,20,8,8,4,4,20,4,4,8,4,4,4,4,8,12,2,2,4,42,4,8,4,42,48,4,4,4,4,2,8,12,4
,6,4,2,6,4,4,6,20,4,4,4,4,8,4,42,4,4,2,2,2,4,2,2,2,2,4,2,4,6,2,4,2,4,2,4,2,2,2
,2,2,2],[16216200,75600,1080,56700,45360,2520,360,360,440,840,48,40,900,108,
360,120,360,840,40,40,40,40,8,4,540,72,36,44,36,48,24,4,360,40,40,8,40,40,4,12
,36,36,24,4,4,4,4,8,4,40,4,4,36,4,4,8,4,4,4,4,4,4,4,4],[16216200,75600,1080,
56700,6300,120,80,600,60,24,200,900,108,600,40,60,8,40,4,40,80,4,4,180,12,60,
60,8,24,20,60,40,4,4,40,4,4,60,60,4,8,4,4,4,4,8,4,4,40,4,60,4,4,4,4,4,4,4,4,4,
4,4],[16216200,136080,1440,4440,56700,13860,120,280,1560,96,288,48,80,348,84,
16,420,156,40,5040,240,144,540,156,1560,32,24,24,40,72,180,16,8,28,100,8,80,36
,12,20,40,16,4,4,40,8,12,28,24,24,72,12,24,12,12,16,540,96,24,16,72,12,12,20,
36,12,8,8,16,12,12,4,180,12,8,12,12,8,8,4,40,4,4,12,8,4,4,4,28,24,12,12,8,4,12
,4,4,8,8,4,16,4,4,4,12,4,4,8,4,8,8,4,72,24,8,4,12,12,4,8,8,4,4,4,4,8,8,4,4,12,
12,4,4,4,4,4,4,12,8,4,4,12,4,4,4,4,12,4,4,8,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4],[16216200,136080,2040,56700,13860,120,
80,1560,180,72,200,5040,72,540,60,1560,40,180,24,40,12,40,80,12,12,72,12,12,8,
540,72,12,12,8,20,180,40,12,12,40,12,12,8,4,12,4,72,12,12,4,4,4,8,4,12,40,12,
12,4,4,4,4,4,4,12,4,4,4,4],[16216200,45360,1440,2040,56700,2520,120,200,120,96
,96,48,48,16,120,40,240,72,540,60,120,32,8,40,16,8,24,24,40,40,8,8,12,72,12,12
,8,24,16,12,12,12,8,8,48,4,8,8,8,8,40,8,12,8,4,12,4,8,4,8,4,4,4,4,8,4,8,4,12,4
,4,4,4,8,4,4,4,4,4,4,4],[16216200,45360,1560,56700,2520,120,160,120,24,12,420,
60,200,540,156,120,40,4,40,8,8,40,4,4,40,80,8,4,72,12,24,12,12,16,60,12,20,40,
8,40,4,4,4,4,12,4,4,8,8,4,4,4,4,4,8,4,8,40,4,4,4,4,4,4,8,4,4,4,4,4,4,4],[
16216200,45360,4440,56700,2520,840,480,120,72,36,1260,36,120,144,540,156,840,
120,120,12,120,24,24,120,120,12,12,120,120,120,12,12,72,84,12,24,24,8,4,180,4,
12,120,120,12,12,12,120,12,12,12,12,24,8,4,4,84,12,12,4,12,12,4,12,4,12,12,4,
120,12,12,12,12,4,4,4,12,12,4,4,12,4,4,12,12,4,4,4,4,4],[16216200,68040,1800,
2760,56700,2520,120,80,840,72,264,96,32,216,24,40,8,1260,300,108,540,60,120,16
,40,72,24,72,72,24,8,8,8,40,8,8,8,40,8,8,8,16,72,12,12,8,60,36,12,36,24,8,24,
12,4,4,24,8,40,8,8,8,8,8,8,16,8,8,4,4,12,4,8,24,12,12,12,4,4,4,12,4,4,4,4,4,4,
4,4,8,16,8,8,12,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4],[16216200,37800,360,840
,226800,22680,120,280,24,72,24,8,40,8,720,48,120,24,8,8,24,40,8,8,8,8,8,12,4,
22680,16,16,8,8,8,8,8,12,4,4,4,4,4,120,24,16,8,8,4,4,4,4,8,8,8,4,8,4,4],[
16216200,37800,1800,1320,226800,22680,120,120,280,24,168,120,8,72,24,80,16,720
,240,120,120,8,8,24,24,24,20,20,4,4,4,4,4,4,4,4,4,60,12,12,12,40,40,8,8,16,16,
8,8,8,8,22680,48,16,32,24,8,4,4,4,4,4,4,4,20,4,4,4,4,4,4,4,4,4,4,4,4,4,4,16,8,
8,8,8,8,8,12,12,120,120,8,8,24,16,16,12,8,8,4,4,4,4,4,4,4,4,24,8,16,8,4,12,8,8
,4,4,4],[16216200,105840,2520,56700,45360,6300,360,600,1240,132,36,1260,36,40,
1260,252,600,600,360,84,36,1260,120,36,20,20,40,12,4,40,120,12,20,540,180,36,
132,124,36,60,36,36,4,360,60,36,40,40,4,4,4,40,120,4,12,12,12,12,20,12,12,12,4
,4,60,60,84,36,36,36,36,20,20,12,4,12,4,4,12,12,20,40,4,4,12,12,4,4,4,4,60,36,
36,12,12,4,4,12,12,12,12,20,12,12,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,4,4,4],[
16216200,45360,2880,3480,56700,2520,120,320,120,192,72,36,48,1260,36,40,16,480
,144,540,60,120,40,24,16,12,120,24,24,40,8,8,12,12,16,8,40,16,12,8,8,4,72,12,
12,8,24,48,8,24,4,180,4,8,4,40,12,12,16,12,8,8,8,8,12,4,4,4,24,8,4,8,4,4,12,4,
12,8,4,4,4,4,4,8,4,4,4,4,4,8,12,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4]
,[16216200,45360,2880,1560,56700,2520,120,160,120,192,24,12,48,420,12,40,16,
480,540,156,120,40,24,16,4,40,8,8,40,8,8,4,4,16,8,40,16,4,8,8,12,72,12,24,12,
12,16,48,24,8,12,12,4,40,4,4,16,4,8,8,8,8,4,12,4,4,8,4,12,4,4,12,8,8,8,4,4,4,4
,4,4,8,4,4,4,4,4,8,4,12,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4],[16216200
,45360,1560,56700,2520,120,160,120,24,12,420,156,40,32,540,156,120,40,4,40,8,8
,40,4,4,40,24,4,16,72,12,24,12,12,16,16,16,12,12,4,24,8,40,4,4,4,4,12,4,4,8,8,
4,4,4,4,8,8,4,4,12,8,4,8,4,4,4,4,4,4,4,4,4,4,4],[16216200,68040,1800,6600,
56700,2520,120,400,840,264,264,96,64,456,120,24,1680,48,40,8,1260,300,252,540,
156,120,48,32,16,16,40,72,56,72,72,24,8,8,8,40,160,80,32,48,16,40,16,16,8,8,8,
8,8,40,120,8,8,8,16,24,8,72,12,24,12,12,16,60,36,44,36,24,24,16,24,32,12,12,
180,4,4,12,12,4,24,16,8,40,16,16,8,8,8,8,8,8,8,8,8,8,8,16,24,16,8,8,16,8,8,16,
8,24,4,24,16,4,4,4,4,4,4,12,4,4,12,8,8,4,4,24,12,12,8,12,4,4,4,12,4,4,8,8,4,4,
4,4,12,4,4,12,4,4,8,8,4,4,4,4,4,4,4,4,8,8,8,8,8,16,8,8,8,12,4,4,8,8,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4],[
16216200,52920,1560,2280,7560,45360,720,480,600,72,248,144,48,48,120,8,120,72,
24,420,480,144,48,48,360,72,28,48,24,24,24,120,60,8,8,4,4,4,60,8,4,4,1080,180,
8,360,28,48,24,24,24,60,4,4,60,4,4,8,4,4,4,4,4,60,24,4,12,24,60,4,4,4,4,4,4,
180,4,60,4,12,4],[16216200,52920,2040,1800,7560,45360,360,480,600,72,216,176,
48,72,40,16,72,48,480,144,48,48,360,8,72,8,24,24,24,24,12,8,8,8,8,4,4,8,8,4,
1080,180,8,360,48,24,24,24,4,8,4,4,8,4,4,4,4,4,4,24,8,12,24,8,4,4,4,4,4,180,4,
8,12,4],[16216200,113400,1080,1800,162,12600,1800,120,120,96,24,360,16,16,18,
1800,8,8,8,120,120,120,360,16,16,8,8,16,8,8,18,6,6,360,8,120,120,8,16,8,8,8,8,
8,6,6,2,2,120,8,8,8,8,2,6,8,2,2,6,2],[16216200,98280,1800,4200,56700,6300,120,
240,840,168,264,96,48,300,60,24,1680,144,3780,300,144,360,132,360,24,16,16,8,
40,72,40,72,60,24,8,8,8,20,80,32,40,24,24,8,16,8,260,4,8,72,36,36,18,12,30,12,
6,12,270,84,24,28,36,12,24,12,30,10,12,6,90,14,18,30,24,8,8,40,8,8,8,4,8,8,4,4
,8,4,4,12,8,8,8,4,4,8,60,4,24,28,8,4,12,4,4,2,8,4,2,4,4,6,4,2,6,4,8,2,2,18,18,
6,12,10,12,4,4,4,6,2,2,4,8,2,4,6,10,10,18,2,8,12,12,4,4,2,6,8,2,8,2,6,24,4,4,4
,4,8,4,8,4,4,4,6,4,2,6,4,4,4,2,2,2,2,2,2,4,2,6,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4
,2,2,6,6,8,6,2,2,2,2,4,2,4,6,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[16216200,83160,
1080,5160,56700,22680,2520,400,1160,216,312,72,40,336,60,1260,156,1260,180,216
,720,84,240,120,72,24,40,24,8,72,40,120,72,20,420,100,84,36,28,12,12,20,8,4,80
,16,32,36,48,24,270,72,12,20,6,10,36,60,36,48,30,18,10,12,28,6,90,14,30,18,24,
24,8,16,8,8,4,20,8,4,4,4,4,8,12,12,12,4,4,12,4,4,4,12,24,16,12,16,8,4,4,4,4,12
,4,8,4,2,2,12,6,2,18,18,6,10,6,6,2,2,24,20,12,4,12,2,2,12,12,4,4,2,18,10,10,6,
8,2,8,4,2,4,6,2,8,2,8,6,12,4,4,4,4,8,4,8,4,4,4,12,6,2,6,4,4,4,2,2,4,2,2,2,2,2,
6,4,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,8,6,6,6,2,2,2,2,2,4,2,4,6,4,2,2,2,2,2,2,2,
2,2,2,2,2,2,2],[16216200,37800,1800,5160,56700,120,320,280,216,168,32,240,120,
24,80,16,1260,300,180,180,156,48,32,16,32,24,24,40,20,20,4,4,16,4,4,4,8,60,12,
40,40,8,8,16,8,8,8,12,24,4,12,8,60,12,36,12,24,8,24,8,12,12,8,8,16,16,8,4,8,8,
4,20,4,4,4,4,4,8,8,12,8,4,4,8,4,8,4,2,2,4,2,4,12,8,4,4,4,8,12,4,4,2,2,4,8,4,4,
2,2,4,6,4,4,4,4,6,2,2,8,8,4,4,4,4,4,4,4,4,6,2,4,4,2,4,4,4,4,4,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,2],[16216200,75600,1440,6360,56700
,2520,120,360,840,240,288,48,80,480,96,16,1680,72,8,2520,240,252,360,132,32,24
,24,40,72,72,96,16,8,32,140,80,16,12,36,20,16,8,4,4,200,8,8,8,24,24,18,12,30,
12,6,12,90,48,48,40,36,24,12,20,30,30,8,10,90,6,4,18,30,36,12,8,40,8,8,4,4,8,8
,8,4,8,4,4,4,32,24,12,12,8,24,4,8,4,6,2,6,2,6,4,8,2,4,2,4,6,4,2,8,8,4,4,8,12,
12,12,12,8,4,6,6,6,2,4,8,2,4,12,4,12,4,2,18,6,10,10,2,8,4,2,2,8,2,6,8,4,4,4,12
,4,8,4,4,6,4,6,2,6,4,4,4,2,2,2,2,2,4,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2
,2,6,8,6,6,2,4,2,2,4,6,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[16216200,151200,2160,
4440,56700,22680,13860,520,2120,240,216,40,372,96,24,1260,84,8,5040,360,180,
720,84,420,1560,144,20,12,36,216,24,12,68,1050,190,30,18,46,42,30,10,2,8,10,4,
140,8,4,8,36,12,12,270,72,12,20,6,10,540,48,36,96,42,54,10,36,16,12,10,90,6,4,
30,18,180,54,6,12,4,2,4,4,4,2,4,140,2,8,4,8,8,6,4,2,2,32,18,18,12,12,10,6,6,18
,2,6,2,4,2,90,12,4,2,12,6,2,2,4,4,2,2,12,6,2,36,36,6,4,4,2,72,12,12,6,12,16,6,
8,12,12,4,4,2,12,4,12,2,4,18,30,6,6,8,2,4,2,2,2,8,6,4,4,2,2,18,6,2,6,4,2,2,2,2
,2,2,12,6,6,2,6,12,4,2,2,12,2,2,4,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,
6,6,8,6,2,2,2,4,2,2,6,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[16216200,15120,2880,4920
,56700,120,240,40,48,96,32,144,36,48,420,12,80,8,480,216,180,60,8,24,8,8,12,24
,20,24,8,20,12,4,12,4,12,4,4,60,4,40,40,8,4,8,8,12,4,8,24,24,8,16,24,4,4,12,12
,8,12,8,4,4,4,8,4,4,20,8,4,4,4,8,6,2,6,2,2,2,2,4,12,4,4,4,2,2,4,4,8,8,6,4,6,4,
4,6,4,4,4,2,2,2,4,4,4,6,2,2,2,2,2,2,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,4,2,2,2,
2,2,2,2],[16216200,90720,2160,3480,56700,22680,6300,360,840,240,216,40,204,72,
24,1260,132,8,360,108,1080,132,180,600,144,20,12,36,72,24,12,36,630,150,42,6,
42,42,30,10,6,8,10,4,60,8,4,24,36,12,12,270,180,96,84,18,18,60,18,54,10,12,12,
6,90,14,4,6,18,60,18,6,12,12,6,4,4,4,2,4,60,6,8,4,8,8,6,4,2,2,24,6,6,12,12,10,
6,18,6,2,6,6,4,2,18,14,10,18,4,6,4,8,2,2,60,18,72,18,36,10,6,12,12,6,6,18,6,6,
6,6,4,2,4,2,4,10,6,8,6,6,4,4,2,2,6,6,2,6,4,6,2,2,2,2,2,60,18,6,6,6,4,2,2,2,6,6
,4,4,2,2,2,2,2,4,6,8,2,6,6,2,6,6,10,6,6,6,6,2,2,2,2,2,2,6,4,2,6,6,2,2,2,2,2,2,
2,2,2,2,2],[16216200,105840,5400,56700,45360,2520,360,840,1800,144,432,72,840,
144,8,2520,180,720,180,840,360,72,144,72,840,144,48,48,24,24,8,4,8,24,48,24,
540,18,36,54,60,18,48,90,24,60,36,30,22,6,90,14,4,18,6,360,72,36,8,4,8,4,4,24,
24,24,8,4,48,24,12,12,24,12,4,4,90,4,8,10,10,14,2,4,2,6,48,18,36,18,36,12,12,6
,10,6,6,6,18,6,6,6,4,2,4,2,4,10,8,6,6,6,8,4,4,24,12,4,4,4,4,36,18,6,6,6,4,2,2,
2,6,6,4,2,4,2,2,2,2,4,2,10,6,6,6,2,6,8,6,6,6,6,6,2,2,2,2,2,4,6,4,2,6,6,2,2,2,2
,2,2,2,2,2,2,2],[16216200,22680,1800,3480,226800,22680,120,120,120,16,72,72,36
,24,72,20,4,288,240,120,4,24,24,72,20,4,4,4,4,6,4,2,4,4,4,6,2,22680,48,8,8,24,
2,4,2,4,4,4,4,2,2,2,6,2,2,2,72,120,8,4,4,4,2,2,2,2,2,2,24,4,4,4,2,2,4,2,2],[
16216200,90720,2160,6360,56700,22680,2520,600,1400,144,240,216,40,504,108,24,
840,96,40,2520,360,288,540,60,420,144,20,12,36,72,132,24,12,72,210,90,78,50,14
,30,42,22,6,12,8,10,40,60,4,12,24,12,12,270,18,18,20,6,90,60,24,60,54,54,10,30
,34,12,12,8,24,24,4,54,36,6,12,20,8,6,4,4,4,2,12,6,8,8,8,6,4,2,2,14,18,12,12,
12,10,6,12,6,6,2,6,4,2,2,4,4,2,8,2,2,2,6,6,36,36,10,6,12,12,12,12,6,6,10,12,6,
6,6,2,2,4,4,2,2,18,18,14,14,8,4,8,4,2,2,4,6,6,12,6,4,4,2,6,2,6,6,4,2,2,2,2,2,2
,6,6,6,6,6,6,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,4,4,6,8,6,8,6,10,6,2,2,2,
2,2,2,2,6,6,4,2,2,2,2,2,2,2,2,2,2,2,2,2],[16216200,37800,1800,1320,56700,120,
280,24,168,24,1680,48,80,16,1260,300,36,180,60,24,24,20,20,4,4,4,4,4,60,12,40,
120,40,8,8,16,16,24,8,8,8,8,12,4,60,12,4,12,12,180,4,8,12,12,8,4,4,20,4,4,4,4,
4,8,8,8,12,16,8,8,4,4,2,2,2,4,12,2,2,12,4,4,12,8,4,4,2,2,6,4,4,4,4,4,4,6,2,2,8
,8,4,4,4,6,2,2,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2],[16216200,
15120,2880,3000,56700,120,80,40,48,96,32,96,12,48,1260,36,80,8,480,72,180,156,
8,24,8,8,4,24,20,24,8,20,12,4,4,4,12,4,4,60,4,40,40,8,12,8,8,12,24,4,12,8,8,24
,8,8,24,180,4,4,8,4,8,4,4,4,8,4,4,20,8,4,4,12,8,2,2,2,2,24,4,8,2,4,2,2,4,4,12,
4,4,2,2,4,4,4,6,6,6,4,4,4,2,2,2,4,4,4,2,2,6,2,2,2,2,4,4,4,4,4,4,4,2,2,2,2,2,2,
2,2,2,2,4,2,2,2,2,2,2,2],[16216200,113400,1080,2760,56700,22680,6300,240,1160,
120,312,72,24,180,2100,132,40,8,3780,180,108,540,60,240,360,72,24,24,72,24,120
,60,840,60,24,8,8,12,12,4,40,300,8,8,8,12,24,84,60,36,270,18,18,20,6,270,60,48
,20,48,18,18,6,18,6,180,12,4,24,24,4,24,24,20,8,4,4,4,4,60,8,12,4,4,4,4,4,24,
60,8,12,12,24,36,16,8,8,4,90,6,2,2,6,2,2,2,6,6,18,18,6,6,6,18,18,6,20,6,6,6,6,
2,2,24,12,12,24,4,4,6,6,6,6,2,2,4,12,6,6,4,6,6,12,24,12,8,4,4,4,4,8,4,4,4,6,6,
6,6,6,2,2,2,2,2,2,6,6,6,2,2,4,2,2,4,2,2,2,2,2,2,4,2,4,6,6,6,12,6,6,6,2,2,2,2,2
,4,6,6,2,2,2,4,2,2,2,2,2,2,2,2,2,2],[16216200,22680,360,3000,226800,22680,24,
24,16,72,36,72,60,12,288,48,24,4,72,6,4,2,60,12,12,12,12,4,12,6,2,22680,8,24,2
,4,2,12,12,12,2,2,2,6,2,2,2,72,24,4,24,4,12,2,2,2,2,2,2,4,12,4,2,12,2,2,2],[
16216200,1920,3240,162,360,56,32,36,48,60,20,18,6,6,12,8,24,8,60,12,4,6,8,4,2,
4,8,12,4,4,8,8,4,4,6,2,2,2,2,4,4,4,8,4,4,4,4,4,2,2,2,2,2,6,2,2,2,2,4,2,2,2,2,2
,2,2,2,2,2,2,2,2],[16216200,1920,3240,162,360,56,32,36,48,60,20,18,6,6,12,8,24
,8,60,12,4,6,8,4,2,8,4,12,4,4,8,8,4,4,6,2,2,2,2,4,4,4,8,4,4,4,4,4,2,2,2,2,2,6,
2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2],[16216200,3360,1800,162,56,144,36,56,180,
12,36,6,12,56,12,12,12,6,12,2,12,180,12,12,12,6,2,2,6,2,12,12,12,12,2,2,2,6,2,
2,2,2,2,2,12,2,2,2,2,2,2,2,2,2,2,2,2,2],[16216200,3360,1800,162,56,144,36,56,
180,12,36,6,12,56,12,12,12,6,12,2,12,180,12,12,12,6,2,2,6,2,12,12,12,12,2,2,2,
6,2,2,2,2,2,2,12,2,2,2,2,2,2,2,2,2,2,2,2,2],[16216200,22680,1560,1800,162,360,
120,8,120,24,240,16,18,6,6,8,24,60,60,4,4,4,4,4,180,12,120,120,8,8,16,8,8,4,2,
2,4,4,60,4,4,4,4,4,8,8,12,8,4,4,4,2,2,2,8,4,4,4,4,2,2,4,2,2,2,2],[16216200,
22680,3000,360,162,120,8,24,96,72,16,120,24,36,6,8,8,4,4,8,8,4,4,12,12,8,120,8
,8,8,8,8,8,12,2,6,4,4,4,4,4,4,4,8,8,4,4,8,12,4,4,2,2,2,8,4,4,4,4,2,2,4,2,2,2,2
],[16216200,22680,1080,3240,162,240,120,104,24,96,16,24,144,72,16,120,8,18,24,
16,8,8,8,8,16,8,16,24,24,16,8,8,8,120,8,8,8,2,6,8,8,24,16,8,8,8,8,8,8,8,8,8,2,
2,2,8,8,8,8,8,2,2,8,2,2,2,2],[16216200,22680,360,3000,324,22680,24,24,16,72,36
,72,60,12,36,6,6,24,4,72,6,4,2,60,12,12,12,12,4,12,6,2,27,2,2,4,2,12,12,12,2,2
,2,6,2,2,2,9,1,3,3,3,12,2,2,2,2,2,2,1,1,1,2,3,1],[16216200,22680,360,3000,324,
22680,24,24,16,72,36,72,60,12,36,6,6,24,4,72,6,4,2,60,12,12,12,12,4,12,6,2,27,
2,2,4,2,12,12,12,2,2,2,6,2,2,2,9,1,3,3,3,12,2,2,2,2,2,2,1,1,1,2,3,1],[16216200
,22680,360,3000,1890,22680,24,24,16,72,36,72,60,12,180,12,30,54,18,24,4,72,6,4
,2,60,12,12,12,12,4,12,6,2,54,6,6,18,6,4,2,18,2,2,4,2,12,12,12,2,2,2,6,2,2,2,
18,2,2,2,6,2,15,2,12,2,2,2,2,2,2,2,3,3,2,3,1,1,1],[16216200,22680,1080,360,162
,120,8,24,96,24,16,1260,108,18,8,8,8,8,16,60,4,12,12,12,12,2,6,8,8,8,4,4,12,4,
2,2,2,4,4,4,2,4,1,1],[15567552,72576,2880,960,960,4032,12,960,4032,96,12,96,96
,12,96,12,96,12,12,12,12,12,12],[15567552,1152,2880,32,480,32,4032,12,16,96,2,
12,2,48,12,2,2,12,2,12,2,2,12,2,2],[15567552,2880,480,4032,12,24,96,12,48,12,
12,12,12,6],[15567552,2304,2880,64,480,4032,12,32,96,4,12,4,48,4,12,12,4,12,4,
4],[15567552,72576,1152,2880,960,32,32,4032,12,16,4032,96,2,12,96,2,2,96,2,12,
12,12,2,2,12,2,2],[15567552,2880,480,64,4032,12,32,96,12,48,4,12,12,12,4,4],[
15567552,72576,2880,960,1008,144,4032,12,48,4032,96,12,96,72,24,96,8,8,12,8,8,
12,12,12,2,2,2],[14826240,34560,3024,1920,144,72,1920,8,24,72,24,2,8,2,2,2],[
14414400,960,5040,504,480,24,240,480,216,72,24,24,120,72,24,24,24,24],[
14414400,960,216,288,480,24,12,480,24,72,6,24,6,6,6,24,6,24,6],[14414400,960,
216,288,480,24,12,480,24,72,6,24,6,6,6,24,6,24,6],[14414400,960,216,288,32,4,
12,32,96,18,6,2,4,2,6,2,2,2,2],[14414400,960,216,288,32,4,12,32,96,18,6,2,4,2,
6,2,2,2,2],[14414400,960,216,288,32,24,12,32,24,72,6,24,6,2,6,8,6,8,2],[
14414400,960,216,288,32,24,12,32,24,72,6,24,6,2,6,8,6,8,2],[14414400,181440,
1920,151200,2520,72,15120,480,1680,20160,2520,120,96,24,2160,120,240,2520,72,
72,2160,120,48,48,2520,24,120,360,24,24,72,48,72,840,360,120,24,72,24,120,72,
24,24,24],[14414400,60480,1920,1920,151200,2520,72,192,144,1680,6720,840,320,
192,24,16,8,720,192,24,48,2520,72,72,48,48,16,24,48,840,16,8,120,24,48,24,16,8
,8,16,72,840,24,24,8,8,24,16,8,24,8,8,24,8],[14414400,181440,1920,151200,2520,
72,15120,192,48,20160,2520,320,24,8,2160,24,48,2520,72,72,2160,48,24,48,2520,8
,360,24,72,8,8,48,72,8,360,24,8,72,8,8,72,8,8,8],[14414400,60480,3840,151200,
2520,72,480,144,48,6720,840,120,288,24,16,720,192,120,16,2520,72,72,120,48,48,
16,48,840,24,16,120,120,48,24,24,24,16,16,72,8,120,24,8,24,24,24,16,8,24,8,8,8
],[14414400,60480,1920,1920,100800,1260,36,72,192,144,1680,6720,840,120,96,48,
24,12,192,36,24,48,840,24,12,18,6,36,48,12,24,12,840,24,12,24,24,12,12,6,6,6,6
,12,6,840,24,24,12,6,6,6,6,24,6,6,6,6],[14414400,60480,1920,1920,151200,2520,
72,192,144,48,6720,840,320,192,24,16,8,720,192,24,8,2520,72,72,48,48,16,24,48,
840,16,8,120,24,48,24,16,8,8,8,72,8,24,24,8,8,24,16,8,4,8,8,8,4],[14414400,
4800,50400,72,72,144,160,192,24,4,8,96,12,24,24,18,6,16,4,16,24,2,6,6,4,2,8,6,
8,4,2,6,2,4,2,2,2],[14414400,188160,2880,151200,2520,72,15120,960,432,20160,
2520,288,24,2400,288,24,24,144,2520,72,72,96,2160,96,144,48,24,2520,24,360,72,
72,24,24,24,24,48,72,360,72,24,24,24,24,24,72,24,24,72,24,24,24],[14414400,
67200,4800,151200,2520,72,320,320,288,144,6720,840,480,40,960,480,24,24,48,
2520,72,72,32,32,32,64,96,32,16,8,48,840,40,120,120,24,40,24,24,24,16,16,72,48
,16,24,8,16,8,16,16,8,24,24,40,8,8,24,16,8,16,8],[14414400,67200,1920,2880,
151200,2520,72,480,320,128,192,64,6720,840,320,120,192,24,24,8,8,960,96,120,24
,24,24,32,2520,72,72,32,8,32,120,32,48,48,16,8,24,8,8,8,8,840,24,8,8,120,120,
24,24,24,24,24,8,8,8,24,24,24,16,8,72,120,24,8,24,8,8,8,8,8,8,8,8,8,8,24,24,24
,8,8,8,8,24,8,8,8,8,8],[14414400,67200,3840,960,151200,2520,72,320,512,64,6720
,840,640,96,48,8,16,960,96,24,24,48,64,2520,72,72,32,8,32,128,32,8,8,48,8,8,
840,8,16,120,48,24,24,8,16,16,24,24,24,32,8,72,48,16,8,8,8,8,8,8,8,8,8,24,24,8
,16,8,8,16,8,8,8,8],[14414400,6720,2880,2880,151200,2520,72,160,64,64,64,64,
480,60,240,36,12,16,12,240,192,60,24,24,36,16,2520,72,72,16,4,4,16,32,16,16,32
,4,8,4,8,8,8,4,4,12,16,12,60,36,48,12,12,16,12,12,24,24,24,8,4,4,72,8,8,8,8,8,
8,4,4,4,4,4,4,4,8,4,8,24,12,16,12,4,4,4,8,8,8,4,4,4],[14414400,80640,2880,
302400,7560,288,20160,480,960,6720,840,288,24,3360,24,480,7560,288,288,20160,
480,24,480,24,96,96,24,24,840,24,480,96,24,480,96,24,288,480,24,24,24,24,24,24
,96,24,96,24,24,24],[14414400,20160,2880,960,201600,288,72,20160,192,192,24,24
,384,72,192,24,72,24,20160,72,72,24,24,24,24,24,24,192,24,24,72,24,24,24,24,24
,24,24,24,24],[14414400,80640,2880,100800,2520,144,288,20160,480,960,6720,840,
288,24,480,168,480,840,96,48,72,24,120,36,24,480,24,96,96,24,24,840,24,48,24,
24,24,96,24,24,12,24,12,12,24,24,24,24,24,12,12,12,12],[14414400,20160,2880,
960,252000,3780,144,180,20160,192,192,480,60,48,36,12,12,240,384,36,12,192,
3360,60,48,72,24,20160,240,36,12,240,36,12,48,48,12,12,12,12,12,12,48,24,12,12
,192,48,12,12,24,240,36,12,12,12,12,12,12,12,12,12,48,12,12,12,12],[14414400,
20160,2880,960,50400,3780,72,396,20160,192,192,480,60,48,36,12,12,240,36,12,12
,192,72,108,72,72,18,36,240,18,30,240,36,12,48,48,12,12,12,12,12,12,12,6,6,6,
12,6,48,12,12,18,18,18,6,12,6,12,6,12,12,12,6,12,6,6,6,6,6,6],[14414400,80640,
2880,100800,2520,144,288,560,960,144,6720,840,288,24,480,168,48,840,96,48,72,
24,560,32,8,32,8,96,32,24,8,840,24,48,24,24,48,16,8,24,32,8,8,8,8,24,8,24,8,16
,8,8,8],[14414400,20160,5760,151200,2520,72,20160,144,144,864,144,24,720,72,72
,144,2520,72,72,720,72,72,48,24,24,48,24,24,144,24,24,72,72,72,48,24,24,72,72,
72,72,24,24,24,24,24,24,72,24,24,24,24,72,24,24,24],[14414400,80640,2880,
151200,2520,72,20160,480,960,6720,840,288,24,1440,288,72,72,480,2520,72,72,720
,72,72,96,48,96,96,24,24,840,24,120,72,24,24,72,72,72,48,96,24,72,72,72,72,24,
24,24,24,24,24,72,24,24,24,24,24,72,24,24,24],[14414400,20160,2880,960,151200,
2520,72,20160,192,192,480,60,48,36,12,12,720,60,72,72,36,192,2520,72,72,720,72
,72,12,12,48,48,12,12,12,12,12,12,60,36,12,12,12,12,72,72,72,12,48,12,12,72,72
,72,72,12,12,12,12,12,12,12,12,72,12,12,12,12,12,12,72,12,12,12],[14414400,
141120,252000,3780,144,180,20160,5040,1680,20160,3360,240,36,84,1680,3360,60,
48,72,24,20160,240,36,12,240,36,12,36,240,240,12,3360,36,24,12,1680,240,240,12
,24,240,36,12,12,12,12,12,12,12,24,240,12,12,12,12,12],[14414400,20160,1920,
252000,3780,144,180,20160,48,48,120,192,48,240,192,36,12,48,3360,60,48,72,24,
20160,240,36,12,240,36,12,48,12,12,48,48,48,12,12,12,48,12,12,48,24,240,36,12,
12,12,12,12,12,12,12,12,48,12,12,12,12],[14414400,20160,1920,201600,1260,72,
450,20160,48,48,120,192,48,18,36,6,48,18,144,72,72,18,36,20160,18,36,18,36,6,
12,12,6,48,6,6,6,6,18,48,12,12,6,18,18,18,18,18,36,18,6,6,6,12,6,6,6,6,18,6],[
14414400,20160,1920,302400,7560,288,20160,48,48,120,192,48,480,120,24,48,7560,
288,288,20160,480,24,480,24,12,12,12,12,48,120,48,48,24,48,12,12,12,288,480,24
,24,24,24,12,12,48,12,12,12,12,24,12],[14414400,141120,302400,7560,288,20160,
5040,1680,20160,3360,1920,24,1680,7560,288,288,20160,480,24,480,144,24,240,240
,48,3360,360,96,24,1680,240,240,48,288,480,24,24,24,24,12,12,96,240,48,12,12,
24,12],[14414400,20160,1920,100800,2520,144,288,560,160,1680,240,96,48,480,192
,24,80,840,96,48,72,24,560,32,8,32,8,16,16,240,48,48,24,24,12,24,80,16,16,8,24
,32,8,8,8,8,4,12,12,16,4,8,4,8,4],[14414400,20160,1920,100800,2520,144,288,560
,64,48,72,24,480,24,24,16,840,96,48,72,24,560,32,8,32,8,4,4,12,12,24,24,12,12,
24,16,4,4,4,24,32,8,8,8,8,4,12,12,4,4,4,4,8,4],[14414400,20160,1920,201600,288
,72,20160,48,48,192,2,8,72,6,48,24,72,24,20160,72,72,6,2,2,6,2,6,2,2,24,48,2,2
,6,24,72,24,24,2,2,2,2,6,2,2,24,2],[14414400,241920,2880,151200,2520,72,30240,
2880,23520,2520,432,72,12,3600,72,2880,2520,72,72,432,3600,432,72,2520,72,12,
12,480,72,12,72,432,72,480,72,12,72,72,72,12,12,72,72,12,12,12],[14414400,
80640,5440,151200,2520,72,640,960,96,144,7840,840,160,528,24,72,12,1200,64,160
,24,4,48,2520,72,72,16,24,160,144,48,24,24,16,24,16,4,840,24,72,12,12,160,160,
24,24,24,4,4,4,24,4,8,24,72,160,24,24,24,4,4,4,4,24,4,24,4,4,24,24,12,4,4,24,4
,24,4,4,4,4,4],[14414400,80640,1920,3520,151200,2520,72,160,960,128,192,64,
7840,840,320,40,432,24,72,8,12,1200,64,40,24,24,4,32,2520,72,72,16,8,64,40,144
,48,16,8,24,8,8,24,4,840,72,8,12,12,40,160,24,24,4,4,4,8,8,24,4,16,8,72,40,24,
8,24,4,8,4,4,4,24,4,4,8,4,24,8,12,4,4,4,8,8,4,4,4,4,4],[14414400,20160,960,
5440,151200,2520,72,64,64,192,96,1120,160,100,576,12,12,80,4,12,480,160,100,24
,12,4,16,2520,72,72,24,12,4,32,16,12,16,32,32,4,8,8,8,2,8,2,12,80,4,12,12,100,
40,12,24,12,12,4,4,4,8,4,4,24,4,8,4,4,72,8,8,16,2,4,4,2,2,2,2,2,4,2,8,2,12,2,4
,4,2,12,8,4,12,4,4,2,2,4,4,4,2,2,4,2,2,2],[14414400,120960,4800,151200,2520,72
,5040,1600,432,10080,840,624,88,12,2160,192,72,144,2520,72,72,144,64,480,208,
96,80,24,16,840,88,12,12,240,48,24,12,16,72,24,32,72,40,24,24,32,8,4,24,16,24,
16,24,16,12,12,8,8,8,8,4,4,8,4],[14414400,3840,2880,2520,27,72,288,96,72,72,21
,12,9,24,15,48,72,18,9,9,12,15,9,18,6,3,12,12,12,9,3,6,9,9,12,6,6,3,6,6,9,3,3,
6,9,3,3,3],[14414400,80640,2560,2880,100800,1260,36,72,960,384,64,6720,980,288
,56,36,12,12,12,480,60,40,4,64,840,24,12,18,6,12,96,20,12,40,36,4,840,24,12,4,
6,2,4,32,8,12,8,8,2,6,24,4,12,6,32,8,8,4,2,4,4,24,4,8,4,6,6,2,2,2,8,4,6,2,2,2,
2,2],[14414400,80640,5440,100800,1260,36,72,320,960,192,144,6720,980,120,416,
24,36,12,12,480,256,40,60,4,48,840,24,12,18,6,32,12,40,96,32,36,12,64,36,32,4,
840,24,24,4,6,2,4,32,8,8,12,12,8,2,6,24,4,16,12,6,32,8,12,4,8,4,4,2,24,4,8,4,4
,6,6,2,2,2,8,4,6,2,2,2,2,2],[14414400,67200,960,151200,2520,72,320,560,144,
6720,840,96,8,960,96,24,24,48,2520,72,72,32,32,8,80,48,24,24,32,8,840,8,120,24
,24,8,24,24,24,16,8,16,72,8,8,8,8,8,24,24,24,8,24,24,8,8,8,8,24,8,8,8],[
14414400,6720,960,960,151200,2520,72,64,160,160,60,48,12,12,4,240,60,24,24,12,
16,2520,72,72,4,16,4,4,4,48,24,24,16,4,4,12,4,60,12,12,12,4,4,24,24,24,8,4,4,4
,72,4,4,4,4,4,4,4,24,24,24,4,24,12,4,4,4,4,4,24,4,4,4],[14414400,60480,151200,
2520,72,20160,1680,560,2240,1680,72,120,560,2520,72,72,720,72,96,72,24,80,80,
32,8,80,8,120,72,72,80,32,8,72,72,72,72,24,8,8,8,8,8,72,8,8,8,8,72,8,8,8],[
14414400,20160,640,151200,2520,72,20160,16,16,40,720,64,40,72,72,4,16,2520,72,
72,720,72,72,16,4,4,4,4,16,4,4,40,4,4,72,72,72,4,4,16,4,4,72,72,72,72,4,4,4,4,
4,4,4,4,72,4,4,4,4,4,72,4,4,4],[14414400,20160,5760,302400,7560,288,20160,144,
144,1152,240,48,480,24,144,7560,288,288,20160,480,24,480,24,32,8,32,8,240,48,
48,24,144,32,8,32,8,288,480,24,24,24,24,8,8,48,32,8,8,8,8,24,8],[14414400,
20160,5760,100800,2520,144,288,560,480,144,576,96,48,48,480,24,48,840,96,48,72
,24,560,32,8,32,8,96,24,32,8,48,16,24,8,16,24,48,16,8,16,8,24,32,8,8,8,8,24,8,
8,16,8,8,8,8,8,8],[14414400,20160,5760,201600,1260,72,450,20160,144,144,576,72
,78,24,18,36,144,18,144,72,72,18,36,20160,18,36,18,36,6,12,6,12,24,24,6,12,6,
24,18,144,6,12,6,12,18,18,18,18,18,36,18,6,6,6,6,6,6,6,12,6,18,6],[14414400,
20160,5760,100800,2520,144,288,20160,144,144,576,96,48,48,480,24,144,840,96,48
,72,24,120,36,24,480,24,32,8,32,8,48,16,24,8,16,24,8,12,8,32,8,24,12,24,12,12,
24,8,8,8,4,8,4,4,8,12,4],[14414400,20160,5760,252000,3780,144,180,20160,144,
144,864,120,36,48,240,36,12,144,3360,60,48,72,24,20160,240,36,12,240,36,12,16,
12,4,16,12,4,96,16,24,8,12,12,144,16,12,4,16,12,4,24,240,36,12,12,12,12,12,4,4
,8,16,12,4,4,4,4,4,12,4],[14414400,20160,5760,6300,108,234,20160,144,144,216,
42,36,18,36,144,234,72,36,360,27,18,18,36,6,12,6,12,24,12,42,18,24,9,6,6,12,36
,18,9,9,18,18,6,6,12,6,3,3,6,6,9,3],[14414400,20160,5760,50400,3780,72,396,
20160,144,144,288,120,72,24,240,36,12,144,72,108,72,72,18,36,240,18,30,240,36,
12,16,12,4,16,12,4,24,24,6,12,12,20,12,16,6,10,16,12,4,18,18,18,6,12,6,12,6,12
,4,4,6,6,6,2,2,4,4,2,4,6,2],[14414400,67200,960,151200,2520,72,320,32,6720,840
,96,8,960,96,24,24,16,2520,72,72,32,32,8,8,32,8,8,840,8,120,24,24,8,24,24,24,8
,16,72,8,8,8,8,8,8,8,24,24,8,8,8,8,8,8],[14414400,6720,960,960,151200,2520,72,
64,560,16,160,60,48,12,12,4,240,60,24,24,12,16,2520,72,72,4,16,4,4,80,4,16,32,
8,4,4,12,4,60,12,12,12,4,4,24,24,24,16,4,4,72,4,4,4,4,4,4,8,4,8,8,4,24,12,4,4,
4,4,8,4,4,4],[14414400,67200,960,151200,2520,72,320,1120,6720,840,96,8,960,96,
24,24,160,2520,72,72,32,32,8,160,64,16,840,8,120,24,24,8,24,24,24,32,16,72,8,8
,8,16,16,16,24,24,8,8,8,16,8,8],[14414400,67200,960,151200,2520,72,320,288,
6720,840,96,8,960,96,24,24,32,2520,72,72,32,32,8,32,840,8,120,24,24,8,24,24,24
,16,72,48,8,8,8,24,24,8,8,8,8,8],[14414400,67200,960,151200,2520,72,320,64,
6720,840,96,8,960,96,24,24,64,2520,72,72,32,32,8,32,840,8,120,24,24,8,24,24,24
,32,72,8,8,8,8,24,24,8,8,8,8,8],[14414400,60480,302400,7560,288,20160,1680,560
,4480,1440,72,560,7560,288,288,20160,480,24,480,96,24,24,32,8,160,16,72,560,32
,8,288,480,24,24,24,24,24,8,16,32,8,8,24,8],[14414400,60480,100800,2520,144,
288,60480,560,560,560,1440,72,560,840,96,48,72,24,560,32,8,1440,32,72,8,32,8,
32,8,72,560,32,8,24,32,8,8,8,72,8,8,8,32,8,8,8,8],[14414400,60480,100800,2520,
144,288,20160,1680,560,560,1440,72,560,840,96,48,72,24,120,36,24,480,96,24,24,
32,8,32,8,72,40,32,8,24,12,24,12,12,24,24,8,8,4,4,8,12,4],[14414400,20160,640,
252000,3780,144,180,20160,16,16,64,240,64,40,36,12,4,16,3360,60,48,72,24,20160
,240,36,12,240,36,12,16,4,4,16,4,4,16,16,4,12,4,16,16,4,4,24,240,36,12,12,12,
12,12,4,4,4,16,4,4,4,12,4],[14414400,20160,640,50400,3780,72,396,20160,16,16,8
,240,64,40,36,12,4,16,72,108,72,72,18,36,240,18,30,240,36,12,16,4,4,16,4,4,8,2
,2,2,12,4,2,16,4,4,18,18,18,6,12,6,12,6,12,4,4,2,2,2,2,2,4,6,2],[14414400,
107520,6720,151200,2520,72,1680,2240,432,8960,840,960,152,24,1920,96,24,72,144
,2520,72,72,96,24,32,80,320,48,112,56,24,40,840,152,24,24,200,24,24,8,8,72,24,
24,48,16,24,72,16,48,8,8,24,56,40,24,24,8,8,8,8,24,24,8,24,8,24,8,8,24,8,8,8,8
,8],[14414400,6720,960,7360,151200,2520,72,64,64,160,144,160,100,912,12,12,144
,4,24,240,64,100,24,24,12,4,16,2520,72,72,16,4,4,4,16,16,4,24,48,4,8,8,16,4,4,
24,24,4,12,144,4,24,24,100,12,12,12,4,4,4,4,24,24,24,4,8,4,4,4,72,8,24,4,4,4,4
,4,4,4,24,24,24,4,4,4,4,4,4,4,24,12,4,24,4,4,4,4,4,24,4,4,4,4,4],[14414400,
6720,7680,151200,2520,72,160,144,560,1056,160,24,240,192,24,24,48,2520,72,72,
16,32,48,8,24,24,80,32,8,160,24,24,48,16,24,24,24,16,16,8,72,8,24,24,24,8,8,8,
8,8,24,16,24,8,8,8,24,8,8,8],[14414400,6720,1920,5760,151200,2520,72,64,144,16
,320,864,24,144,8,24,240,24,24,24,8,2520,72,72,4,16,48,4,4,24,24,4,16,4,4,144,
8,24,24,24,8,8,24,24,24,4,4,8,4,72,4,24,24,24,4,4,4,4,4,4,4,24,8,24,4,4,4,4,24
,4,4,4],[14414400,67200,960,151200,2520,72,320,1680,48,6720,840,96,8,960,96,24
,24,16,2520,72,72,32,32,8,48,48,840,8,120,24,24,8,24,24,24,16,72,840,8,8,8,8,
24,24,8,8,24,8,8,8],[14414400,67200,960,151200,2520,72,320,96,6720,840,96,8,
960,96,24,24,16,2520,72,72,32,32,8,96,840,8,120,24,24,8,24,24,24,16,72,16,8,8,
8,24,24,8,8,16,8,8],[14414400,147840,960,151200,2520,72,13440,960,11200,840,96
,8,2880,96,24,120,960,2520,72,72,480,48,96,1120,96,8,840,8,280,24,24,16,8,120,
24,24,96,96,72,80,8,48,8,64,16,8,24,24,24,8,16,8,24,16,8,8,8,8],[14414400,
67200,2240,151200,2520,72,320,320,32,48,6720,840,80,96,8,960,224,80,24,24,8,16
,2520,72,72,32,32,48,32,8,8,80,32,8,8,8,840,8,80,120,24,24,8,8,8,24,24,24,8,16
,8,72,80,8,8,8,8,8,8,8,8,8,8,24,24,8,8,8,8,8,8,8,8,8],[14414400,47040,960,1600
,151200,2520,72,1680,192,112,2240,160,100,48,12,12,4,1200,64,100,24,72,12,4,48
,2520,72,72,96,16,24,28,4,12,80,64,16,28,16,12,4,12,4,100,80,12,12,12,8,4,4,4,
4,72,24,24,4,12,16,12,72,4,4,24,4,4,28,8,4,4,4,4,4,8,12,4,24,12,4,8,4,4,12,4,8
,4,4,4,4,4],[14414400,47040,1920,151200,2520,72,1680,160,144,2240,192,16,1200,
192,24,72,48,2520,72,72,96,24,16,80,32,8,48,24,24,16,80,48,8,16,72,24,24,16,16
,8,72,24,8,8,8,8,8,24,24,24,24,16,8,8,8,8,24,8,8,8],[14414400,6720,1920,640,
151200,2520,72,64,16,144,320,40,24,8,240,64,40,24,24,24,4,8,2520,72,72,16,4,4,
4,16,4,4,4,48,24,24,8,40,24,4,4,8,8,24,24,24,4,4,4,8,4,72,4,4,4,4,4,4,4,4,24,
24,24,24,8,4,4,4,4,4,24,4,4,4],[14414400,960,50400,72,72,480,24,96,480,24,18,6
,48,24,6,48,6,24,6,24,6,6],[14414400,20160,2880,960,216,288,20160,192,192,24,
24,72,12,192,24,72,6,54,18,72,24,24,24,24,6,24,6,24,6,18,6,24,24,24,6,24,6,6,6
],[14414400,20160,2880,960,216,288,20160,192,192,24,24,72,12,192,24,72,6,54,18
,72,24,24,24,24,6,24,6,24,6,18,6,24,24,24,6,24,6,6,6],[14414400,20160,2880,960
,1260,180,20160,192,192,24,24,60,180,36,36,192,72,18,180,36,12,12,24,24,24,24,
6,6,72,18,12,24,18,72,18,24,24,6,6,18,6,6,24,6,18,6,6,6],[14414400,20160,1920,
1260,180,20160,48,48,120,6,180,36,6,48,72,18,180,36,6,12,6,12,6,6,6,6,72,18,12
,6,6,18,72,18,6,6,6,6,18,6,6,6,18,6,6,6],[14414400,100800,1920,151200,2520,72,
5040,480,144,8960,840,120,96,24,1680,120,48,48,2520,72,72,144,480,120,48,16,
840,24,120,200,24,24,24,8,48,8,72,24,40,120,24,24,24,24,8,12,24,4,4,4],[
14414400,181440,640,151200,2520,72,15120,160,144,20160,2520,40,2160,64,40,4,48
,2520,72,72,16,2160,40,16,2520,40,360,72,4,4,4,16,72,24,360,40,4,72,4,12,72,4,
4,4],[14414400,100800,1920,151200,2520,72,5040,192,144,8960,840,320,24,8,1680,
48,24,48,2520,72,72,144,480,48,24,16,840,8,200,24,24,8,8,8,48,16,72,24,40,24,8
,24,24,8,8,8,8,4,4,4],[14414400,60480,2560,151200,2520,72,160,144,144,6720,840
,40,192,16,720,256,40,4,16,2520,72,72,16,40,48,16,16,840,16,40,120,48,24,4,4,
16,4,8,72,24,40,24,8,4,24,16,4,8,8,4,4,4],[14414400,40320,1920,960,151200,2520
,72,320,32,32,2240,320,96,24,8,8,960,96,48,24,16,2520,72,72,32,32,16,4,16,8,8,
80,24,24,8,8,8,8,48,8,72,4,4,4,4,8,8,8,8,2,4,4,4,2],[14414400,3520,151200,2520
,72,96,32,40,288,24,352,40,4,8,2520,72,72,24,4,24,16,24,40,72,4,4,24,4,4,72,4,
4,12,4,24,4,2,12,4,4,2],[14414400,60480,640,1920,100800,1260,36,72,64,144,144,
6720,840,120,96,8,24,192,36,16,4,8,840,24,12,18,6,4,36,48,8,4,840,24,8,24,12,
12,6,2,2,6,4,4,6,24,8,24,12,2,6,6,2,4,6,2,2,2],[14414400,60480,1920,640,100800
,1260,36,72,192,48,144,6720,840,32,48,12,64,40,36,24,4,8,840,24,12,18,6,12,16,
12,24,4,840,12,24,8,8,12,6,6,6,2,4,4,6,24,24,8,6,4,6,6,2,4,6,2,2,2],[14414400,
100800,640,151200,2520,72,5040,160,48,8960,840,40,1680,64,40,48,4,16,2520,72,
72,144,16,480,40,48,840,40,200,24,8,4,4,48,4,16,72,8,40,40,24,4,24,8,4,4,8,4,4
,4],[14414400,100800,640,151200,2520,72,5040,160,1680,8960,840,40,1680,64,40,
48,4,80,2520,72,72,144,16,480,40,48,840,40,200,24,8,4,4,48,4,8,72,840,40,40,24
,4,24,8,4,40,24,4,4,4],[14414400,60480,640,640,100800,1260,36,72,64,48,1680,
6720,840,32,8,64,40,36,16,4,4,16,840,24,12,18,6,12,4,16,8,12,840,8,8,8,12,6,2,
2,2,4,4,4,6,840,8,8,4,2,6,2,2,8,6,2,2,2],[14414400,20160,960,320,302400,7560,
288,20160,64,64,20,12,480,128,20,24,12,8,64,7560,288,288,20160,480,24,480,24,4
,4,4,4,20,12,8,8,24,8,64,4,4,4,288,480,24,24,24,24,4,4,8,4,4,4,4,24,4],[
14414400,80640,320,100800,2520,144,288,5600,320,3360,16,1200,32,80,24,8,320,
840,96,48,72,24,560,32,8,176,8,32,240,16,60,4,16,4,24,8,80,8,32,16,24,32,8,8,8
,8,12,4,4,16,4,8,4,8,4],[14414400,40320,960,302400,7560,288,20160,160,320,1120
,48,1680,96,120,160,7560,288,288,20160,480,24,480,24,32,16,16,16,100,12,16,120
,160,16,16,16,288,480,24,24,24,24,4,4,16,16,4,16,4,24,4],[14414400,20160,960,
320,252000,3780,144,180,20160,64,64,160,16,240,128,20,36,12,12,8,64,3360,60,48
,72,24,20160,240,36,12,240,36,12,4,4,16,16,16,4,4,4,12,8,64,4,4,16,24,240,36,
12,12,12,12,12,4,4,4,16,4,4,4,12,4],[14414400,20160,960,320,201600,1260,72,450
,20160,64,64,2,2,128,20,18,36,12,8,64,18,144,72,72,18,36,20160,18,36,18,36,4,4
,2,2,2,2,2,2,2,18,8,64,4,4,2,18,18,18,18,18,36,18,2,2,2,2,2,2,4,2,18,2],[
14414400,20160,320,960,100800,2520,144,288,560,64,48,60,4,480,60,24,20,8,16,
840,96,48,72,24,560,32,8,32,8,12,4,12,4,60,4,4,4,24,8,16,4,4,4,24,32,8,8,8,8,
12,4,4,4,4,4,4,8,4],[14414400,40320,960,252000,3780,144,180,20160,160,320,140,
4,1440,96,36,108,160,3360,60,48,72,24,20160,240,36,12,240,36,12,32,16,4,4,20,4
,8,96,12,160,16,16,4,24,240,36,12,12,12,12,12,4,4,8,4,4,16,4,12,4],[14414400,
80640,2880,151200,2520,72,960,1680,144,7840,840,432,72,12,1200,24,48,2520,72,
72,144,24,16,48,840,72,12,12,160,24,4,24,8,72,840,24,24,4,24,24,12,4,24,24,4,4
,4],[14414400,80640,2880,151200,2520,72,960,192,7840,840,432,72,12,1200,24,32,
2520,72,72,144,24,16,48,840,72,12,12,160,24,4,24,16,72,32,24,4,24,24,12,4,8,8,
4,4,4],[14414400,80640,2880,100800,1260,36,72,960,1680,144,6720,980,288,36,12,
12,480,60,48,840,24,12,18,6,96,36,4,12,840,24,4,6,2,4,8,12,8,24,4,6,840,24,4,4
,24,6,2,2,24,6,2,2,2],[14414400,6720,1920,640,151200,2520,72,64,16,560,320,40,
24,8,240,64,40,24,24,24,4,16,2520,72,72,16,4,4,4,16,4,4,4,80,32,8,8,40,24,4,4,
8,8,24,24,24,4,16,4,4,72,4,4,4,4,4,4,4,4,8,8,8,24,8,4,4,4,4,4,8,4,4],[14414400
,47040,1920,151200,2520,72,1680,64,16,2240,320,24,8,1200,24,72,24,16,2520,72,
72,96,24,4,80,16,4,4,4,16,4,4,8,80,24,8,8,8,72,24,24,4,4,16,72,24,4,8,8,4,4,4,
4,4,4,4,24,8,8,4,4,4,8,4,4,4],[14414400,6720,2560,151200,2520,72,160,16,16,40,
192,16,240,256,40,24,24,4,8,2520,72,72,16,16,4,4,32,4,8,4,16,4,4,16,40,48,4,4,
16,24,24,24,4,4,8,4,72,4,8,4,4,4,8,8,4,4,4,4,24,16,4,4,4,4,4,4,8,4],[14414400,
47040,1920,151200,2520,72,1680,160,560,2240,192,16,1200,192,24,72,80,2520,72,
72,96,24,16,80,32,8,80,32,8,16,80,48,8,16,72,24,24,16,8,16,72,24,8,8,8,8,8,8,8
,8,24,16,8,4,4,4,8,8,8,4],[14414400,20160,2880,960,1260,18,20160,192,192,6,6,
60,18,36,36,192,18,9,18,36,12,12,6,6,6,6,18,3,3,9,12,6,9,18,6,6,9,3,3,9,3,3,6,
3,9,3,3,3],[14414400,20160,1920,1260,324,18,20160,48,48,120,12,18,36,6,48,18,9
,81,18,36,6,12,12,6,6,3,18,3,12,6,9,9,18,6,6,3,3,6,9,3],[14414400,20160,1920,
216,288,20160,48,48,24,2,8,72,6,48,24,72,6,54,18,72,6,2,2,6,6,2,2,24,6,2,2,6,6
,18,6,24,2,2,2,6,2,2,6,2],[14414400,20160,1920,216,288,20160,48,48,24,2,8,72,6
,48,24,72,6,54,18,72,6,2,2,6,6,2,2,24,6,2,2,6,6,18,6,24,2,2,2,6,2,2,6,2],[
14414400,20160,2880,960,234,20160,192,192,6,6,18,12,192,72,3,3,18,18,6,6,6,3,3
,3,6,6,3,18,3,3,3,3,3,6,3,3,3],[14414400,20160,2880,960,234,20160,192,192,6,6,
18,12,192,72,3,3,18,18,6,6,6,3,3,3,6,6,3,18,3,3,3,3,3,6,3,3,3],[14414400,20160
,2880,960,201600,72,18,20160,192,192,6,6,384,18,192,18,3,3,20160,18,18,6,6,6,3
,3,3,192,6,3,18,3,3,3,3,3,6,3,3,3],[14414400,6720,1920,1920,1260,180,64,48,48,
24,16,2,60,12,24,6,8,72,18,6,4,8,2,4,12,6,6,16,2,4,2,24,6,4,2,2,18,8,2,2,2,6,6
,6,4,2,2,2,6,2,2,2],[14414400,20160,1920,1260,180,20160,48,48,24,2,180,36,6,48
,72,18,180,36,6,2,4,2,4,6,2,2,72,18,2,4,6,18,72,18,2,2,2,2,18,2,2,2,18,2,2,2],
[14414400,6720,1920,1920,1260,180,64,48,48,120,16,6,60,12,24,6,8,72,18,6,4,12,
8,6,2,4,6,16,6,4,6,24,6,4,2,2,18,8,6,2,6,2,2,6,4,6,2,2,6,2,2,2],[14414400,6720
,960,4800,1260,180,64,64,96,144,120,24,24,8,8,60,60,12,12,12,16,72,18,12,4,12,
12,8,8,4,8,4,4,8,24,2,6,6,2,8,24,6,4,4,18,2,2,4,4,8,2,6,2,8,6,6,2,2,6,2,4,6,2,
2,2,2,2],[14414400,6720,960,960,1260,180,64,96,24,8,60,60,12,12,16,72,18,4,8,
12,8,4,12,8,24,6,2,24,6,4,4,18,8,2,6,8,2,6,6,2,4,2,6,2,2,2],[14414400,960,
50400,72,72,160,24,96,24,24,18,6,16,24,6,8,6,8,6,4,2,2],[14414400,20160,1920,
216,288,20160,48,48,14,72,6,48,24,72,6,54,18,72,6,2,2,6,8,2,24,2,2,6,6,18,6,24
,2,2,2,2,2,6,2],[14414400,20160,1920,216,288,20160,48,48,14,72,6,48,24,72,6,54
,18,72,6,2,2,6,8,2,24,2,2,6,6,18,6,24,2,2,2,2,2,6,2],[13899600,19440,2160,720,
19440,360,144,144,216,72,540,360,144,72,72,72,72,36,72,72,72,36,72,45,9,9],[
12972960,108864,4320,453600,108864,1440,1440,1440,10080,10080,432,2160,1440,
1440,10080,144,144,90720,2160,144,144,1440,144,144,144,720,144,144,720,10080,
144,144],[12972960,90720,4320,288,453600,90720,48,288,288,144,48,10080,10080,
1440,288,288,48,48,10080,288,288,90720,48,288,48,48,48,288,48,288,48,48,48,
10080,288,48],[12972960,108864,4320,3780,18144,2520,720,1440,216,72,10080,1260
,36,108,720,72,72,10080,144,144,2520,108,36,36,72,144,144,144,72,36,144,72,
1260,36,36],[12972960,102816,1440,2976,453600,90720,480,992,96,288,96,32,10080
,10080,480,288,1440,96,480,96,32,32,96,10080,96,96,96,96,90720,32,96,96,32,96,
32,32,96,32,32,96,480,96,32,32,32,10080,96,96,32],[12972960,108864,4320,453600
,90720,504,720,1440,216,72,10080,10080,432,2160,720,72,72,10080,144,144,90720,
144,144,48,72,24,144,24,720,24,24,72,10080,144,24],[12972960,96768,2880,1632,
453600,90720,256,480,192,288,32,32,10080,10080,960,144,720,192,240,192,16,32,
16,10080,192,48,192,48,90720,16,192,48,48,16,16,16,192,48,16,16,240,192,16,16,
16,10080,192,48,16],[12972960,108864,4320,3780,3024,1440,192,432,10080,1260,36
,108,96,144,10080,144,144,2520,36,36,12,48,24,144,24,72,12,24,24,1260,36,12],[
12972960,96768,1440,453600,90720,240,480,1680,480,10080,10080,144,720,240,480,
240,10080,48,48,90720,48,720,48,240,48,48,240,48,48,240,10080,48,48],[12972960
,96768,1440,453600,90720,240,480,48,32,10080,10080,144,720,240,32,16,10080,48,
48,90720,48,16,48,16,16,48,240,16,16,16,10080,48,16],[12972960,96768,1440,3780
,2520,480,72,48,480,10080,1260,12,36,24,480,24,10080,48,48,2520,12,36,12,24,48
,48,24,12,48,24,1260,12,12],[12972960,217728,1440,453600,90720,20160,240,1440,
5040,10080,30240,144,2160,240,1440,5040,240,240,10080,48,48,90720,144,2160,144
,240,720,48,5040,240,144,48,240,10080,720,48,48],[12972960,151200,1440,1056,
453600,90720,7560,288,96,120,2520,72,10080,20160,480,144,720,192,96,72,2520,72
,24,24,24,10080,96,96,90720,48,720,192,48,48,24,360,24,96,2520,72,96,48,24,24,
10080,360,24,96,24],[12972960,96768,3360,453600,90720,240,480,192,192,144,
10080,10080,432,720,192,240,32,144,16,16,10080,48,48,90720,48,64,48,48,16,16,
48,48,144,240,16,16,16,10080,48,48,16],[12972960,96768,3360,3780,2520,480,480,
120,72,5040,10080,1260,360,12,120,36,24,24,240,48,240,10080,48,48,2520,12,120,
36,12,12,24,720,48,240,24,12,48,24,1260,120,12,12],[12972960,96768,3360,453600
,90720,400,480,144,72,144,10080,10080,432,720,192,240,24,144,24,24,10080,48,48
,90720,16,48,48,48,16,24,48,48,144,240,8,8,24,10080,48,48,8],[12972960,157248,
2400,453600,90720,7560,240,800,216,2520,72,10080,20160,288,1440,96,240,72,2520
,72,24,24,24,10080,48,48,90720,32,720,96,48,16,24,360,24,48,2520,72,240,16,8,
24,10080,360,24,48,8],[12972960,90720,1440,2016,453600,90720,96,96,32,144,24,
144,10080,10080,480,288,288,96,8,144,8,8,10080,96,96,90720,24,96,16,48,8,8,48,
96,144,96,8,8,8,10080,48,96,8],[12972960,96768,960,2400,3780,2520,240,480,64,
96,32,72,2520,72,10080,1260,180,36,12,60,36,12,16,24,120,24,24,8,24,10080,48,
48,2520,4,60,12,12,4,4,12,8,360,24,48,120,24,24,4,8,8,1260,60,12,12,4],[
12972960,96768,1920,1440,3780,2520,480,256,72,32,144,10080,1260,72,12,36,24,24
,32,48,8,24,10080,48,48,2520,4,12,4,24,12,8,48,48,48,24,4,8,8,1260,24,12,4],[
12972960,60480,2496,1440,3780,240,480,256,48,240,16,15,1260,72,12,36,24,16,32,
120,16,8,8,8,5,3,1,60,4,12,4,24,12,8,3,1,1,60,4,4,4,1,4,3,3,1,1,1],[12972960,
3456,1440,81,32,192,64,240,16,15,27,3,9,32,24,16,16,8,8,8,5,3,1,2,3,9,3,8,3,1,
1,2,2,2,3,1,2,1,1,1,1,1],[12972960,3456,1440,81,32,192,64,240,16,15,27,3,9,32,
24,16,16,8,8,8,5,3,1,2,3,9,3,8,3,1,1,2,2,2,3,1,2,1,1,1,1,1],[12972960,48384,
1440,181440,18144,240,480,5040,480,1680,1440,240,480,240,1680,24,24,18144,1440
,120,240,360,24,24,24,24,240,120,24,24,24,240,120,24,24,24,24],[12972960,48384
,1440,181440,18144,240,480,144,32,1680,1440,240,32,16,1680,24,24,18144,32,120,
16,24,8,24,24,24,240,120,24,8,8,16,8,24,8,24,8],[12972960,48384,1440,1512,504,
480,72,144,480,1680,72,24,480,24,1680,24,24,504,72,12,24,24,24,4,24,4,24,12,4,
24,4,24,12,4,4,4,4],[12972960,48384,1440,1512,504,480,72,144,32,1680,72,24,32,
24,1680,24,24,504,8,12,8,24,8,4,24,4,24,12,4,8,4,8,4,4,4,4,4],[12972960,36288,
864,181440,36288,288,288,288,1680,864,288,288,144,48,18144,864,120,288,48,48,
48,48,144,24,48,48,144,24,24,48,24,24],[12972960,36288,864,6048,36288,288,288,
288,1680,288,288,144,48,864,144,48,288,48,48,48,48,48,48,144,24,24,48,24],[
12972960,90720,1440,96,453600,90720,96,96,16,16,10080,10080,480,96,96,16,16,
10080,96,96,90720,96,16,16,16,96,16,16,96,16,16,16,10080,96,16],[12972960,
96768,1440,453600,90720,240,480,168,72,10080,10080,144,720,240,24,24,10080,48,
48,90720,48,16,48,24,48,8,8,240,8,8,24,10080,48,8],[12972960,96768,1440,3780,
2520,480,72,168,72,10080,1260,12,36,24,24,16,10080,48,48,2520,12,4,12,8,48,8,8
,24,4,8,8,1260,12,4],[12972960,24192,2880,1248,181440,18144,128,96,192,288,32,
32,1680,288,384,48,192,16,32,16,96,16,48,32,18144,32,120,16,24,16,8,16,8,24,8,
16,48,192,16,8,8,16,8,16,8,16,24,8,8,16,8,8],[12972960,54432,1440,2208,181440,
18144,288,736,96,288,96,32,1680,1728,192,288,96,32,32,96,1680,48,32,48,32,
18144,64,120,32,24,16,8,48,16,16,24,32,8,8,288,96,120,8,8,8,24,8,8,8,8,16,32,
24,8,8,24,8,8,8],[12972960,66528,480,2976,1512,2016,1056,96,224,288,1680,24,72
,24,96,96,32,96,96,1680,16,48,16,48,504,8,12,32,16,16,16,16,16,48,16,24,24,24,
12,4,4,16,16,16,16,16,8,4,4,16,4,4,4,4],[12972960,30240,3360,672,1512,336,224,
112,1680,24,72,24,336,112,112,1680,112,112,12,8,12,112,56,112,56,12,4,4,12,4,4
,56,56,56,4,2,4,56,2,2,2,2],[12972960,96768,288,181440,18144,6048,48,288,1008,
1680,8064,288,48,288,1008,48,48,48,128,18144,288,120,48,24,48,48,8,8,1008,48,
24,8,48,8,8,8,8,48,24,8,8,8,8,8],[12972960,72576,672,1512,54432,2016,144,288,
1008,1680,504,72,24,144,96,1008,48,48,112,96,504,24,12,48,72,48,16,24,8,504,24
,24,12,4,4,16,24,8,8,8,24,4,4,8,4,4,4,4],[12972960,36288,1248,1512,480,192,96,
96,1680,504,72,24,336,96,96,48,48,208,48,12,24,12,48,80,16,32,16,12,12,12,12,4
,4,56,16,8,16,8,12,2,4,8,2,2,2,2],[12972960,24192,288,181440,18144,48,96,144,
32,1680,288,48,32,16,48,32,18144,32,120,16,24,16,8,16,8,48,8,8,16,8,16,24,8,8,
8,8],[12972960,24192,6048,181440,18144,48,96,192,288,144,1680,576,288,48,32,
144,16,16,96,48,32,18144,32,120,16,24,16,8,32,16,8,144,48,24,8,8,16,8,8,8,16,
24,8,8,8,8,8],[12972960,36288,2880,2976,1512,2016,240,96,192,96,32,144,1680,72
,24,24,96,16,48,48,16,96,48,16,48,504,8,12,16,16,16,16,24,8,8,8,24,24,24,12,4,
4,16,8,8,8,8,8,4,4,8,4,4,4,4],[12972960,2880,3552,1512,336,96,64,16,32,1680,72
,24,24,336,16,16,16,16,96,48,112,12,8,12,16,56,16,16,8,16,4,4,12,12,4,4,56,8,8
,8,8,4,2,4,8,2,2,2,2],[12972960,24192,288,181440,18144,48,96,1008,96,1680,288,
48,96,48,48,32,18144,288,120,48,24,16,8,16,8,48,8,8,16,8,48,24,8,8,8,8],[
12972960,60480,480,45360,5040,480,48,40,720,48,480,48,144,48,48,40,48,48,48,48
,8,8],[12972960,48384,1440,45360,18144,240,480,2520,216,1680,576,144,240,72,72
,1680,24,24,216,48,24,360,24,30,72,180,36,24,24,24,24,24,24,30,6,6,24,12,12,24
,30,6,6,6,6,12,6,6,6,6],[12972960,18144,480,4896,1512,504,288,192,96,32,72,504
,72,1680,72,24,24,32,24,24,24,24,8,24,16,72,96,24,504,8,12,8,4,8,32,8,24,8,4,4
,4,24,24,24,4,4,12,8,4,4,4,4,4,4,8,4,4,4,4,4,4,4],[12972960,48384,2880,2016,
1512,504,48,480,192,96,32,72,504,72,1680,72,72,72,16,24,24,24,24,8,24,1680,96,
24,96,24,504,24,12,8,4,8,96,24,8,8,4,4,4,24,24,24,12,12,12,8,4,4,4,4,4,4,8,4,
12,4,4,4,4,4],[12972960,54432,3360,1440,1512,54432,504,288,288,72,504,72,1680,
504,72,24,288,24,504,72,24,24,24,112,24,72,504,24,12,24,72,4,24,24,4,4,4,504,
24,24,4,12,4,24,4,4,4,4,4,4,24,4,4,4,4,4,4,4],[12972960,54432,1440,3360,181440
,18144,1512,288,96,216,504,72,1680,4032,288,192,96,72,504,72,24,24,24,48,56,72
,18144,48,120,24,24,12,24,8,12,4,4,504,72,96,8,12,12,8,12,4,4,4,4,4,24,24,4,4,
8,4,4,4],[12972960,84672,4320,181440,18144,1512,240,1440,216,504,72,1680,4032,
288,1440,240,72,504,72,24,24,24,1680,72,72,18144,96,120,24,24,12,24,72,12,4,4,
504,72,240,120,12,12,24,12,4,4,4,4,4,24,24,12,4,24,4,4,4],[12972960,84672,4320
,1512,54432,504,720,1440,72,504,72,1680,504,24,72,720,24,504,72,24,24,24,1680,
72,72,504,24,12,24,72,4,72,72,4,4,4,504,24,24,12,4,4,72,4,4,4,4,4,4,24,4,4,4,4
,4,4,4],[12972960,66528,1440,3168,1512,48,1056,96,288,16,48,16,1680,504,24,72,
96,16,24,8,8,8,16,1680,48,48,48,48,12,24,12,8,8,16,48,16,16,48,8,8,8,12,4,4,12
,4,4,8,16,4,8,4,4,4,4,2,4,4,2,2,2,2],[12972960,30240,4320,864,1512,192,288,64,
48,16,1680,72,72,72,64,48,16,16,16,1680,144,144,12,24,12,16,32,144,32,8,8,12,4
,4,12,12,12,32,8,8,8,8,4,2,12,8,2,2,2,2],[12972960,1920,3744,1512,192,96,64,32
,48,16,1680,72,24,24,16,16,48,8,8,8,8,64,48,144,12,8,12,8,32,16,16,16,8,8,12,4
,4,4,4,12,8,8,8,4,4,4,4,4,2,4,4,2,2,2,2],[12972960,36288,4800,288,1512,48,96,
384,48,48,16,1680,504,72,24,16,32,24,16,8,8,8,160,48,48,12,24,12,8,8,16,32,24,
8,8,12,4,4,4,12,4,16,8,4,4,8,4,4,4,2,4,4,2,2,2,2],[12972960,84672,4320,1512,
18144,1512,240,1440,216,504,72,1680,504,24,72,240,72,504,72,24,24,24,1680,72,
72,108,24,12,24,24,12,24,72,12,4,4,36,4,12,12,4,4,24,12,4,4,4,4,4,4,3,4,4,3,1,
1,1],[12972960,48384,1440,181440,18144,240,480,840,72,1680,1440,240,24,24,1680
,24,24,18144,96,120,24,60,12,24,24,24,240,120,24,4,4,24,24,12,4,24,4],[
12972960,18144,1440,480,181440,18144,96,96,80,16,1680,192,96,16,16,48,8,24,
18144,32,120,16,4,4,24,8,8,96,8,8,4,4,16,24,4,4,8,4],[12972960,48384,1440,1512
,504,480,72,840,72,1680,72,24,24,16,1680,24,24,504,24,12,8,60,12,4,24,4,24,12,
4,8,4,8,4,12,4,4,4],[12972960,48384,1440,1512,504,480,72,2520,24,1680,72,24,
240,24,1680,24,24,504,24,12,24,180,4,4,24,4,24,12,4,24,4,24,4,4,4,4,4],[
12972960,36288,480,45360,160,2184,216,1680,432,48,80,24,24,1680,8,8,16,72,24,
48,30,24,120,24,8,4,4,8,8,8,30,2,2,8,4,4,8,4,6,2,2,2,4,2,2,2,2],[12972960,
36288,480,45360,160,3024,144,160,1680,432,48,160,48,1680,8,8,16,432,16,16,30,
48,180,8,12,8,4,4,16,16,30,2,2,8,4,4,16,30,2,2,2,2,2,4,2,2,2,2],[12972960,
72576,3360,45360,1512,1120,216,4200,72,1680,2016,144,432,48,72,560,72,1680,56,
56,16,72,48,24,8,360,8,48,30,72,300,12,12,56,12,8,48,8,8,8,30,2,6,6,2,12,56,12
,8,30,2,6,6,2,2,2,2,12,6,2,2,2,2,2],[12972960,48384,1920,1824,378,48,480,128,
96,32,840,168,1680,126,18,18,6,6,18,6,16,16,24,24,32,1680,64,24,64,24,2,6,6,6,
2,2,6,18,2,6,6,3,8,60,28,8,64,24,8,8,2,6,2,6,2,2,2,3,1,3,1,3,1,1,8,16,8,4,4,2,
3,1,3,1,3,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1],[12972960,72576,3360,45360,1512,1120,
216,144,160,1680,2016,144,432,48,72,160,24,1680,56,56,16,72,48,24,8,16,16,30,
24,8,24,12,56,12,8,8,16,30,2,6,6,2,12,8,4,8,4,2,6,2,2,2,2,4,2,2,2,2],[12972960
,84672,4320,45360,18144,1512,240,1440,216,504,72,1680,2016,144,576,144,240,72,
504,72,24,24,24,1680,72,72,216,48,24,72,48,24,8,72,8,30,24,24,12,24,72,12,4,4,
72,8,8,8,24,8,8,30,6,6,6,6,24,12,4,4,4,4,4,8,6,6,2,2,2,2,6,6,2,4,6,2,2,2,2,2,2
,2],[12972960,48384,1440,45360,18144,240,480,1680,160,1680,576,144,240,160,80,
1680,24,24,216,48,24,48,16,30,80,120,8,24,24,24,24,16,8,30,6,6,24,8,8,8,6,6,2,
6,6,8,6,2,2,2],[12972960,30240,480,96,1512,32,48,16,1680,24,72,24,48,16,16,
1680,16,16,8,12,16,16,8,8,12,12,4,4,8,8,8,4,4,8,2,2],[12812800,179200,4480,208
,400,4480,64,256,256,64,64,64,100,64,16,16,4,256,64,64,64,16,16,4,4,4,16,4,4,4
,4,64,16,4,4,4,4,4,4],[12355200,51840,3840,86400,720,384,5760,720,48,48,60,720
,48,24,12,720,48,6,6,12,48,6,6,6,6,6,6,6,6,6],[12355200,51840,3840,86400,720,
288,5760,720,192,384,60,720,96,24,12,720,48,6,6,12,48,6,6,6,6,6,6,6,6,6],[
12355200,51840,86400,720,1440,5760,720,60,720,12,720,6,6,12,720,6,6,6,6,6],[
12355200,17280,3960,432,480,72,60,144,480,24,24,4,60,12,12,4,24,4,12,4,4,4,4],
[12355200,17280,172800,2520,864,17280,72,60,288,17280,72,72,4,60,12,12,4,72,4,
12,4,4,4,4],[12355200,17280,2560,43200,2520,216,96,960,96,64,160,72,4,60,72,24
,16,16,4,24,12,4,60,3,3,4,4,16,1,3,4,1,1,3,4,1,3,1,1,1],[12355200,17280,2560,
2880,108,128,120,24,72,40,4,60,36,8,8,16,4,6,6,4,60,3,3,4,2,16,1,3,4,1,1,3,4,1
,3,1,1,1],[12162150,96390,3510,3510,17010,9450,630,450,1710,126,390,450,90,378
,378,54,198,630,126,90,42,630,270,1350,234,18,18,54,18,90,54,54,162,54,126,102
,126,306,126,126,90,18,54,54,126,630,90,18,18,54,90,42,6,6,90,18,18,18,18,18,
18,18,42,6,30,30,90,18,18,18,90,90,90,42,18,18,6,18,18,6,18,30,30,18,18,18,270
,126,54,126,54,36,18,90,102,18,18,18,36,18,126,18,18,12,12,6,12,6,12,12,18,6,
90,90,90,18,42,18,18,6,6,18,18,6,18,18,18,6,18,6,6,6,6,6,6,18,18,30,30,30,18,
30,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,90,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,30,18,18,6,6,6,18,18,18,18,18,90,126,18,18,90,18
,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,6,6,6,12,18,18,12,6,6,18,6,6,6,6
,6,18,6,18,18,18,18,18,18,18,18,18,18,30,18,18,18,18,6,6,6,6,6,6,18,6,6,6,6,18
,6,6,6,6,18,18,18,18,18,18,18,6,6,6,6,18,18,18,18,6,18,18,18,6,6,18,6,6,6,6,6,
6,6,6,6,18,6,6,6,6,6,6,6],[12162150,119070,2430,5670,51030,9450,810,1350,2790,
318,702,486,198,162,594,162,162,1890,162,90,18,1350,1350,486,54,198,198,54,810
,162,162,162,162,198,126,318,378,162,162,162,162,162,1890,270,162,90,90,54,54,
30,90,54,18,18,18,18,18,6,18,18,90,270,18,18,18,18,54,90,54,30,18,18,810,270,
162,162,162,162,162,162,90,126,198,54,54,162,162,162,90,90,18,18,18,18,18,18,
18,6,18,6,6,18,18,6,6,90,270,18,54,54,54,18,18,18,6,18,18,18,18,18,18,18,18,6,
6,18,18,54,90,54,54,30,30,30,30,18,18,30,18,18,18,18,18,18,18,18,18,54,54,18,
18,18,18,18,18,18,30,18,18,6,6,6,6,90,162,54,162,162,90,18,18,18,18,18,6,6,6,
18,18,6,6,6,6,6,18,18,18,18,18,18,18,18,6,6,6,6,54,54,18,18,18,18,18,6,18,18,
18,18,18,18,18,18,18,18,18,30,18,6,6,6,6,6,6,6,6,18,6,6,6,18,18,6,18,18,18,18,
6,18,18,6,6,6,6,6,6,6,6,18,6,6,6,162,6,6,18,18,18,18,18,6,18,18,18,18,18,6,18,
6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6],[
12162150,73710,4590,4230,51030,1890,1350,1110,1230,198,702,774,222,486,162,54,
318,630,54,210,42,630,990,90,630,18,174,198,18,870,198,198,294,198,54,18,198,
54,126,270,222,174,198,54,126,630,30,54,18,18,210,18,18,6,150,42,42,42,42,18,
30,30,30,6,30,30,90,18,18,18,90,30,150,18,18,42,6,18,18,18,6,42,18,30,30,30,
810,126,54,270,198,162,186,174,18,174,18,18,186,174,162,126,30,30,90,6,6,6,6,6
,6,6,18,18,18,90,30,150,18,18,18,18,18,18,6,6,6,6,6,18,30,6,6,6,18,18,6,6,6,6,
6,18,18,18,18,18,30,30,30,18,30,42,30,30,30,30,42,30,30,30,30,42,30,30,30,30,
90,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,42,18,18,18,6,6,6,30,30,30,18,
18,126,162,18,174,162,90,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,90,30,18
,18,18,6,6,6,6,6,6,6,6,6,6,18,18,18,18,30,30,6,6,6,6,6,6,6,6,6,18,18,30,6,18,
42,30,30,30,30,30,18,18,18,30,18,18,6,6,6,6,6,6,6,30,6,6,6,6,6,6,6,18,18,18,18
,18,18,18,18,18,162,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,18,18,18,18,30,6,6,6,18,
6,6,6,6,6,18,18,18,18,6,18,6,6,6,6,6,6,6,18,18,6,6,6,6,6,6,6,6,6,6],[12162150,
62370,2250,1710,34020,1890,270,360,630,66,186,252,36,108,54,58,1260,144,90,38,
360,90,108,36,36,270,12,12,20,18,6,66,18,12,18,42,18,18,18,630,30,18,6,6,6,6,2
,30,14,14,4,12,2,2,18,8,8,6,6,4,90,120,22,14,14,10,30,36,24,20,24,16,12,4,10,6
,270,12,6,36,18,18,18,6,30,60,12,6,2,8,8,10,4,8,2,8,6,2,12,6,30,30,10,2,2,2,2,
6,6,2,2,2,2,2,4,4,4,8,12,4,2,6,6,6,10,6,2,2,2,2,6,6,2,2,2,2,2,2,2,4,4,18,18,12
,16,12,14,10,6,6,12,6,2,2,12,6,6,2,4,2,6,2,2,18,6,2,2,2,2,2,4,30,12,2,2,2,2,2,
6,6,6,4,4,2,2,2,2,2,2,2,6,12,6,6,2,4,2,6,2,4,2,2,6,4,6,2,2,4,2,8,2,6,6,4,6,6,6
,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,6,6,2,6,2,2,2,4,2,2,4,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2],[12162150,62370,1530,2430,34020,1890,810,480,630,66,234,156,52,
54,54,1260,72,270,42,630,360,90,108,36,44,330,18,6,66,18,42,54,22,22,22,630,30
,18,6,6,210,6,6,2,150,14,14,10,10,10,90,6,150,120,150,34,18,26,6,18,36,24,12,
20,20,10,10,2,270,42,6,36,18,22,18,30,60,90,6,2,8,16,2,8,2,10,6,6,6,90,30,150,
6,6,6,6,10,6,6,2,2,2,2,2,10,14,10,10,10,10,90,6,6,6,6,6,18,18,12,20,12,18,6,6,
6,12,10,6,12,6,6,2,4,2,2,2,2,18,90,6,6,6,90,30,6,6,6,2,2,2,2,2,30,30,2,2,2,2,2
,6,6,6,12,6,6,2,4,2,6,2,10,2,8,2,2,2,2,8,6,6,10,6,6,6,2,2,2,2,2,6,2,2,2,30,2,2
,2,2,2,6,6,6,2,2,2,2,2,4,2,6,2,6,2,2,2,2,2,2,6,2,2,2,2,2,2,2],[12162150,51030,
3510,4230,17010,1890,630,570,630,102,342,450,98,378,234,90,198,630,54,150,22,
630,270,90,234,30,26,54,22,90,54,54,162,54,54,26,54,54,126,126,90,18,54,66,126
,60,36,24,12,90,12,8,90,18,18,18,18,12,18,18,26,18,4,6,22,22,90,18,18,18,150,
30,90,22,22,22,2,6,6,6,6,18,18,18,18,18,6,2,126,54,126,54,36,18,18,18,22,18,36
,18,126,30,6,6,6,2,4,2,2,2,4,2,2,90,90,18,6,6,18,18,26,6,2,2,4,2,18,18,2,6,6,2
,6,6,4,4,2,2,4,22,22,18,18,22,18,18,22,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,90,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,22,2,2,18,18
,18,18,18,6,6,2,2,6,2,2,2,2,2,6,2,2,2,6,2,2,2,126,18,18,90,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,6,4,2,2,2,4,2,2,18,18,18,6,2,2,18,18,18,18,18,18,22
,18,18,18,18,6,18,2,2,2,18,6,6,6,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2
,2,2,2,6,2,2,2,2,2,2,2,18,18,18,18,18,18,2,2,2,2,2,2,2,2,2,2,2,2,18,18,18,18,6
,2,18,18,2,2,18,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,18,2,2,2,2,2,2,2,2,2,2,2],[12162150,85050,2610,2430,9450,270,180,1350,138,
162,216,48,144,270,82,108,210,38,1350,24,12,90,36,36,32,24,90,90,90,270,12,18,
30,30,18,18,36,36,90,14,14,20,4,18,6,14,30,6,16,16,6,6,4,90,60,30,6,14,6,18,12
,12,12,8,8,6,6,270,12,18,6,12,90,90,6,12,6,30,18,18,12,12,6,6,6,6,12,2,6,4,90,
18,30,6,6,6,6,6,6,6,12,12,12,12,12,4,4,8,4,10,6,6,2,6,2,2,2,6,6,6,6,2,2,2,2,2,
2,2,4,4,12,6,6,2,2,4,2,6,6,6,2,2,90,6,6,2,2,2,2,2,4,18,4,12,6,6,6,12,12,6,6,6,
2,2,4,30,2,4,2,2,2,2,2,2,2,6,6,4,2,2,12,6,6,6,6,2,6,6,6,12,6,2,2,2,2,2,2,2,2,2
,4,2,2,2,2,2,2,2,12,6,2,6,6,2,2,2,6,2,2,2,2,2,2,6,2,2,6,2,2,2,2,2],[12162150,
85050,1890,3150,9450,810,300,1350,138,210,120,64,36,270,78,180,150,26,630,1350
,24,20,150,24,24,12,24,90,90,90,270,42,54,10,34,22,60,90,60,150,8,8,6,14,30,18
,10,10,10,4,4,90,6,150,90,10,10,10,10,30,20,8,14,6,4,2,270,42,18,6,12,90,90,10
,12,30,30,12,12,10,10,6,6,4,4,6,150,90,30,10,10,10,10,10,10,10,10,20,4,6,6,6,
14,6,6,4,4,4,4,4,90,6,6,6,6,6,10,10,4,6,6,6,6,2,2,2,90,6,90,6,6,6,30,4,12,10,
10,10,6,6,6,6,2,2,2,18,4,4,6,2,2,2,2,6,6,4,10,10,6,6,2,2,10,10,6,6,2,2,2,2,6,2
,2,2,18,4,6,2,2,2,6,6,2,10,2,2,2,2,6,2,2,6,2,2,6,6,2,6,2,2,2,2,2],[12162150,
39690,1890,3870,1890,810,420,270,114,162,120,72,36,126,36,78,1260,72,90,46,630
,90,12,32,20,4,150,24,24,12,24,18,14,18,18,42,54,10,34,22,12,60,36,24,90,12,24
,4,90,8,8,6,14,18,6,22,6,6,6,2,8,8,90,6,90,120,90,30,6,6,2,6,24,12,12,20,12,14
,6,4,6,42,18,6,12,6,4,10,12,60,6,8,4,16,4,2,2,10,6,2,4,4,6,90,90,6,12,6,6,14,6
,2,2,4,6,6,6,2,2,4,2,6,6,4,8,2,2,4,4,8,4,6,6,6,14,6,6,4,4,4,4,4,90,6,6,6,6,6,
18,12,6,2,6,8,4,6,6,6,6,2,2,6,2,2,6,2,6,2,6,90,6,6,6,4,8,4,6,2,2,4,6,2,2,2,4,4
,2,2,6,2,2,6,6,2,2,4,4,2,6,4,2,2,6,6,2,2,2,2,6,6,2,4,2,2,6,2,8,2,2,2,6,2,2,2,6
,2,2,2,6,2,6,2,2,2,4,2,2,2,6,2,4,2,2,6,2,2,2,2,2,2,2,6,2,6,2,2,2,2,2,2,2,6,2,2
,2,2,2,2,2],[12162150,39690,2610,3150,1890,270,300,270,114,114,216,56,144,126,
36,82,1260,144,150,26,90,12,32,12,4,90,36,36,32,24,18,14,18,18,12,18,30,30,18,
12,18,60,36,24,12,24,4,30,14,14,20,4,18,6,10,10,10,6,2,12,12,6,6,4,30,120,60,
18,2,10,6,18,24,12,20,8,8,8,8,6,2,12,18,6,12,6,4,6,12,6,60,30,12,6,8,4,8,12,4,
2,10,6,2,2,2,6,4,30,6,12,6,10,10,2,2,2,4,6,2,2,2,2,4,2,6,6,4,8,2,2,4,4,4,8,4,4
,4,4,4,8,4,10,6,6,2,6,2,2,2,6,6,6,6,2,2,2,2,2,2,2,4,4,18,8,2,6,6,8,2,2,4,2,6,6
,2,2,2,2,2,2,2,2,2,6,6,2,2,2,2,2,4,4,8,4,6,2,2,4,2,2,4,30,6,2,2,4,2,2,2,2,2,6,
2,2,4,2,2,4,4,2,2,4,2,2,6,2,2,2,6,2,2,2,4,4,2,2,2,2,4,4,2,2,2,6,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,4,2,2,2,2,2,4,2,2,2,2,2,2,6,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2],[12162150,96390,1350,2790,17010,9450,90,330,1710,126,246,162,42,54,
378,54,42,630,54,150,38,270,1350,90,18,18,30,18,30,18,18,30,18,126,102,126,306
,18,30,6,18,54,630,90,18,18,30,18,6,6,30,6,6,6,14,2,10,10,30,90,60,14,6,30,2,6
,18,6,10,34,10,12,12,12,6,2,270,54,18,18,12,6,90,102,18,18,18,12,6,30,6,6,4,4,
2,4,2,4,4,6,2,6,6,6,30,90,6,14,6,6,2,2,6,6,2,18,18,18,6,10,6,6,6,6,6,6,6,6,10,
10,10,6,10,6,6,18,30,10,6,6,2,6,6,12,12,12,6,2,2,2,2,2,90,18,6,6,2,2,2,4,6,6,4
,2,2,30,6,6,6,6,6,6,12,18,6,10,6,6,6,6,2,6,6,6,6,6,2,2,6,2,2,2,2,2,2,2,6,2,2,2
,2,6,6,6,2,2,2,2,6,6,6,6,2,2,6,2,2,2,2,2,2,2,2,2,6,6,6,2,2,2,2,6,2,2,2,2,2,2,2
],[12162150,73710,2430,3510,51030,1890,810,990,1230,198,558,486,174,162,162,54
,162,630,126,30,22,990,90,486,18,174,174,18,810,162,162,162,162,54,18,198,54,
162,162,162,162,54,630,30,54,18,18,18,18,6,30,18,6,6,6,6,6,6,30,30,22,6,6,10,
30,18,18,14,14,14,6,2,810,54,162,162,162,162,162,18,174,18,18,162,162,162,30,
30,12,6,6,6,6,4,14,6,10,4,4,30,30,18,18,18,6,6,6,6,6,6,6,6,6,6,6,6,6,18,18,6,6
,6,6,6,6,6,6,6,6,6,6,6,6,18,6,14,6,6,10,6,6,6,2,2,2,2,2,162,18,162,162,30,6,6,
6,6,6,6,6,6,6,6,6,2,2,2,2,2,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,2,2,2,2,2,6,4,6
,6,4,6,6,6,10,4,2,2,2,2,162,6,6,6,6,6,6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,4,2,6,
2,2,2,2,2,2,2],[12162150,51030,1350,3510,17010,1890,90,450,630,102,198,162,50,
54,234,90,42,630,126,210,50,270,90,90,30,26,30,22,30,18,18,30,18,54,26,54,54,
18,30,6,18,66,60,36,24,12,12,8,30,12,18,6,14,6,4,6,10,10,90,30,60,26,10,34,6,
18,6,6,14,38,14,12,12,12,54,18,18,12,6,18,18,22,18,12,6,30,30,12,6,6,6,2,4,4,
10,2,2,4,6,4,6,6,6,6,30,18,6,6,6,6,14,6,2,2,4,2,6,6,2,6,6,2,6,6,4,4,2,2,4,10,
10,6,6,10,6,6,10,6,30,14,6,10,6,2,12,12,12,6,6,2,2,18,6,6,4,2,2,2,4,2,2,30,6,6
,2,6,6,6,2,2,2,2,6,12,6,2,2,10,6,6,6,6,6,6,2,2,2,6,6,6,2,2,2,2,4,2,2,2,4,2,2,4
,6,6,6,6,2,2,6,2,6,6,2,2,6,2,2,2,2,2,2,2,6,2,6,2,6,2,4,2,2,6,2,2,2,2,2,2,2],[
12162150,107730,2250,3870,34020,9450,270,720,2190,186,330,252,60,108,486,108,
58,1260,72,30,42,720,1350,108,36,60,60,36,270,12,12,20,162,114,186,342,12,18,
42,18,18,108,18,1260,180,72,48,48,24,24,16,30,14,14,4,12,18,6,2,2,34,6,2,16,16
,6,6,4,30,180,26,2,2,6,18,48,24,16,20,12,12,4,10,2,270,270,108,12,90,114,60,36
,36,18,18,18,6,30,30,6,6,6,2,2,2,2,2,2,2,2,12,12,6,30,180,6,18,18,18,26,2,2,2,
6,6,6,6,6,2,2,6,2,2,6,6,36,48,36,24,16,16,16,16,12,12,16,12,12,12,16,12,4,2,6,
6,6,10,6,2,2,2,2,6,6,2,2,2,2,2,2,2,4,4,18,36,12,2,6,6,12,16,6,2,2,6,6,2,2,2,2,
2,2,2,2,2,90,18,36,6,2,2,2,2,2,4,30,6,6,12,2,2,2,2,2,2,2,2,2,2,2,12,12,6,6,4,4
,2,2,2,2,2,2,2,2,12,6,2,2,18,36,6,2,12,2,2,6,6,6,6,6,6,12,12,12,12,16,6,2,2,2,
2,2,2,2,2,2,2,12,6,6,6,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2
,2,2,2,2,12,6,12,6,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2],[12162150,107730,1530,4590,34020,9450,810,840,2190,186,
378,156,76,486,108,54,1260,144,210,14,630,720,1350,108,36,60,68,36,330,162,114
,186,342,42,54,22,22,22,108,1260,180,72,48,72,210,48,24,16,150,14,14,30,6,10,
10,10,10,2,90,6,90,180,150,6,6,14,10,30,48,24,24,10,10,6,270,270,42,108,90,114
,60,36,36,18,22,18,30,30,90,18,18,6,2,2,2,2,6,2,2,6,6,6,90,180,150,6,18,18,30,
6,6,6,2,10,6,6,10,6,6,10,6,2,2,6,10,36,48,36,24,24,16,16,16,12,12,16,10,14,10,
10,10,10,90,6,6,6,6,6,18,36,6,10,6,12,16,10,6,6,6,2,2,6,2,2,6,2,6,2,90,18,36,
90,6,6,6,90,30,18,6,6,6,6,2,2,2,6,6,6,2,2,2,2,2,30,30,18,2,2,2,6,2,2,12,6,2,2,
18,36,2,6,6,6,10,6,6,6,12,12,12,12,16,10,6,2,2,2,6,2,2,6,2,6,2,6,6,6,2,2,2,2,2
,2,6,2,2,2,6,2,2,2,6,2,6,2,2,2,30,18,2,2,2,2,6,2,6,2,12,6,6,6,2,2,6,2,2,6,6,2,
2,6,2,2,2,2,2,6,2,2,2,2,2,6,2,2,2,2,6,2,6,2,2,2,2,2,2,2,2,2],[11119680,576,288
,1440,432,288,96,48,12,48,36,6],[10810800,211680,720,302400,10080,30240,15120,
240,240,720,5040,240,40320,10080,1440,240,720,240,5040,240,240,240,240,10080,
30240,1440,240,1440,1440,1440,240,240,240,240,240,10080,5040,1440,240,1440,240
,240,1440,240,240,240,240,1440,240,240,240,240],[10810800,30240,3600,302400,
10080,30240,240,240,240,96,144,144,16,576,96,1440,240,240,16,144,16,16,16,16,
10080,30240,1440,240,1440,32,32,240,16,16,16,16,96,144,32,16,32,240,16,1440,
240,240,16,16,32,16,16,240,16],[10810800,30240,3600,151200,1260,432,15120,420,
360,240,108,48,2520,72,240,360,288,144,720,36,120,12,24,120,72,24,12,24,240,
120,12,144,15120,420,48,36,12,48,36,48,36,720,36,12,120,12,12,24,12,12,144,120
,72,48,36,12,48,36,120,12,12,48,36,12,12,12,12,12,120,12,48,36,12,12,12,12,12]
,[10810800,30240,3600,2520,216,840,720,480,240,32,72,144,16,48,24,72,240,16,24
,48,24,16,16,24,72,840,24,8,24,24,8,8,8,8,24,16,8,48,8,8,8,24,8,24,8,8,24,8,8,
8,8,8,8],[10810800,30240,2880,720,2520,216,840,240,32,192,72,16,144,240,144,72
,72,16,24,16,48,16,8,240,24,72,840,24,8,24,24,72,8,24,8,16,8,72,48,24,8,24,24,
8,24,8,8,8,24,24,8,8,8,8],[10810800,30240,3600,151200,1260,432,15120,420,360,
240,108,48,144,16,288,24,24,720,36,120,12,24,72,24,8,12,8,16,12,8,144,15120,
420,48,36,12,48,36,48,4,16,4,12,8,4,4,12,8,4,8,72,24,8,4,4,8,4,120,12,4,48,36,
12,12,12,4,12,8,4,8,4,4,4,4,12,4],[10810800,30240,3600,151200,1260,432,30240,
240,240,240,96,144,144,16,288,24,24,720,36,240,240,16,144,16,16,16,16,144,
15120,90,72,12,720,36,16,4,16,4,240,16,16,16,16,8,72,4,8,4,16,4,120,6,16,36,18
,120,6,12,8,2,8,2,4,2,4,8,2,6,2],[10810800,30240,3600,7560,216,30240,240,240,
240,96,144,144,16,96,12,72,240,240,16,144,16,16,16,16,216,900,120,36,6,72,8,8,
240,16,16,16,16,12,24,8,4,2,8,12,16,36,12,120,6,4,4,4,8,2,4,6,2],[10810800,
30240,3600,151200,216,54,15120,420,360,240,108,48,144,16,288,6,24,720,54,120,
12,24,72,24,8,12,8,16,12,8,54,15120,54,6,12,6,54,48,48,6,16,6,12,8,4,4,12,8,4,
6,72,2,6,4,2,8,6,120,6,4,54,6,12,6,6,12,2,8,2,6,2,2,4,2,6,2],[10810800,30240,
3600,2520,216,15120,420,360,240,108,48,144,16,48,24,72,120,12,24,72,24,8,12,8,
16,12,8,72,420,90,54,12,6,36,12,12,4,8,12,8,4,4,12,8,4,8,24,4,6,4,2,4,4,12,6,4
,18,12,12,6,6,4,2,4,2,2,4,2,4,2,6,2],[10810800,30240,3600,1260,108,270,15120,
420,360,240,108,48,144,16,24,18,12,54,36,120,12,24,72,24,8,12,8,16,12,8,18,90,
27,30,18,6,6,3,54,12,12,6,6,4,12,8,4,4,12,8,4,2,4,6,3,2,2,2,1,6,4,6,6,4,9,6,6,
6,6,3,2,2,2,2,1,2,2,1,2,2,3,1],[10810800,30240,1680,302400,10080,30240,960,240
,240,240,240,1440,240,840,240,240,240,120,120,10080,30240,1440,240,1440,240,
120,120,240,120,240,120,120,1440,240,240,120,120,240,120],[10810800,30240,960,
720,302400,10080,30240,240,240,240,16,16,48,1440,48,240,240,8,8,8,8,10080,
30240,1440,240,1440,240,8,8,48,8,240,8,8,1440,240,240,8,8,240,8],[10810800,
30240,1680,7560,216,30240,960,240,240,240,240,72,12,840,240,240,240,120,120,
216,900,120,36,6,72,240,120,120,12,120,12,6,120,36,12,120,6,120,6,6,6],[
10810800,30240,960,720,2520,216,840,240,32,72,16,16,12,72,12,16,16,24,8,8,8,72
,840,24,8,24,8,4,8,12,4,24,4,4,24,8,8,4,4,8,4],[10810800,30240,960,720,2520,
216,840,240,32,72,16,16,12,72,12,16,16,24,8,8,8,72,840,24,8,24,8,4,8,12,4,24,4
,4,24,8,8,4,4,8,4],[10810800,480,1680,162,216,840,16,16,8,8,16,4,12,6,840,4,8,
8,8,8,9,6,5,4,2,2,4,4,8,1,4,6,1,4,2,1,4,1,4,1,1,1],[10810800,30240,960,720,
7560,216,30240,240,240,240,16,16,8,72,48,240,240,8,8,8,8,216,900,120,36,6,72,
240,8,8,8,2,12,8,8,36,12,120,6,2,8,6,2],[10810800,15120,2160,720,54,15120,144,
144,360,72,18,18,54,144,360,72,72,72,72,72,18,54,18,18,72,72,72,18,18,18,18,72
,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18],[10810800,35280,720,1200,
302400,10080,30240,240,320,400,48,144,96,32,16,1920,192,96,320,96,32,32,240,48
,16,16,16,16,10080,30240,1440,240,1440,64,32,240,32,16,16,16,96,320,96,32,16,
32,16,1440,240,32,16,240,32,16,16,240,16],[10810800,75600,80,1200,2520,216,
8400,1200,80,80,240,120,72,8,8,1200,80,80,80,240,72,840,24,8,24,24,8,240,80,80
,8,120,8,24,8,8,8,80,24,8,8,24,8,8,8,8,8,8],[10810800,45360,240,1520,151200,
1260,432,15120,1680,240,560,48,112,16,16,144,48,1440,32,20,36,12,8,240,80,16,
16,16,16,16,48,16,48,48,48,144,15120,420,48,36,12,192,36,32,4,4,48,16,16,16,16
,8,240,20,16,12,12,8,4,4,32,4,16,48,36,12,48,16,4,4,12,8,4,16,4,4,12,4],[
10810800,15120,1680,560,151200,1260,432,15120,280,112,112,168,56,224,20,36,12,
8,280,112,56,56,56,56,144,15120,10,36,4,6,36,112,4,4,56,56,56,8,112,10,2,2,4,4
,2,112,4,56,36,4,56,2,2,2,2,4,4,56,2,2,2,2],[10810800,30240,4320,2160,37800,
1260,108,15120,420,240,240,288,432,48,36,12,48,1260,108,720,180,72,108,36,36,
360,72,108,36,120,288,24,12,48,24,12,60,36,36,12,12,36,36,36,420,12,180,108,12
,36,36,24,12,12,72,12,108,12,24,36,36,36,36,180,12,12,24,12,12,12,12,36,36,36,
36,60,36,12,12,36,12,12,12,12,12,12,12,12,12,72,12,24,12,36,36,12,12,12,12,36,
36,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12]
,[10810800,120960,5040,189000,2520,15120,4200,120,1680,288,576,12,1260,108,
15120,2520,648,72,1080,72,72,120,144,192,12,1260,108,36,36,24,36,24,2520,15120
,180,180,60,36,24,24,12,12,180,48,216,36,84,72,24,180,12,12,72,36,24,12,12,12,
2520,72,72,1260,180,108,12,180,12,12,12,12,120,12,12,12,12,24,24,36,12,24,12,
12,12,180,24,72,24,12,12,12,24,36,12,12,12,12,12,12,12,12,180,12,24,12,12,12,
12,12,12,12,12],[10810800,120960,5040,189000,2520,30240,3780,240,960,1680,324,
108,1260,108,15120,2520,648,72,1080,72,72,960,240,108,108,1260,108,36,36,36,36
,36,2520,15120,180,1080,72,24,24,24,180,216,216,36,12,72,72,12,180,12,240,108,
36,36,36,36,36,2520,72,72,1260,180,108,12,180,12,12,12,12,120,12,24,24,216,72,
12,12,12,12,12,36,180,72,72,72,120,12,24,36,36,12,12,12,12,12,12,12,12,180,12,
72,12,36,12,12,12,12,12,12],[10810800,50400,1440,4720,37800,1260,108,4200,360,
400,288,48,48,256,108,1260,108,240,180,216,36,36,24,12,12,600,40,40,36,12,4,
400,24,24,72,40,36,180,72,36,12,12,36,24,36,420,12,120,40,40,4,4,72,36,12,12,
12,24,12,8,12,12,4,12,4,4,180,12,40,12,36,24,12,12,12,36,12,4,12,4,60,24,12,12
,4,4,12,12,12,36,12,40,4,4,4,40,40,12,12,24,4,12,4,12,12,12,12,4,12,4,4,4,4,4,
40,8,4,4,12,4,4,4,4,12,12,12,12,12,12,12,4,4,4,4,4,4,4,12,4,4,4,4,4,4],[
10810800,60480,2160,302400,10080,30240,1260,240,480,720,108,36,420,36,3360,144
,2880,480,240,36,36,420,36,12,12,12,12,12,10080,30240,1440,240,1440,144,48,48,
48,240,36,12,12,12,12,12,240,420,36,480,48,48,12,1440,240,36,240,12,12,12,48,
48,12,12,240,12],[10810800,60480,2160,151200,1260,432,60480,420,720,720,720,36
,12,420,36,420,12,2160,36,720,720,12,12,420,36,12,12,12,12,12,144,15120,420,48
,36,12,2160,48,36,12,12,48,720,12,12,12,12,12,12,48,420,12,360,12,12,48,12,48,
36,360,12,12,12,12,12,12,48,12,12,12,12,12],[10810800,120960,1200,151200,1260,
432,15120,11760,120,1200,120,12,1260,12,10080,48,720,120,36,120,1200,120,12,
1260,120,12,12,12,120,12,144,15120,420,48,36,12,48,36,12,720,48,12,120,12,120,
12,12,12,12,48,1260,12,120,120,12,48,12,12,48,36,12,12,12,12,120,12,12,12,48,
12,12,12,12],[10810800,60480,2160,151200,1260,432,30240,1260,240,480,720,108,
36,420,36,3360,144,720,108,480,240,36,36,420,36,12,12,12,12,12,144,15120,90,72
,12,720,36,36,48,48,12,240,36,12,12,12,12,12,24,420,36,120,18,48,12,12,36,18,
120,6,18,12,12,12,6,12,6,12,6,6,6],[10810800,120960,1200,151200,216,54,15120,
11760,120,1200,120,12,1260,12,10080,48,720,54,6,120,1200,120,12,1260,120,12,12
,12,120,12,54,15120,54,6,12,6,54,48,6,720,48,6,120,12,120,12,12,12,12,6,1260,
12,120,6,6,48,6,12,54,6,12,6,6,6,120,12,6,6,6,12,6,6,6],[10810800,60480,2160,
2520,216,60480,420,720,720,720,36,12,420,36,420,12,144,720,720,12,12,420,36,12
,12,12,12,12,72,420,90,54,12,6,144,12,12,12,12,720,12,12,12,12,12,12,12,420,12
,12,18,12,12,12,18,12,12,18,6,6,12,12,6,12,6,12,6,6,6],[10810800,30240,1440,
1200,151200,216,54,15120,420,160,240,96,144,16,36,12,16,420,36,6,6,720,192,54,
120,96,8,12,16,8,12,20,12,12,4,4,12,12,54,15120,54,6,12,6,54,48,16,6,6,48,12,8
,4,4,4,4,12,6,2,2,120,96,6,6,8,4,54,6,12,6,8,6,2,2,12,2,6,2,4,6,2],[10810800,
60480,2160,2520,216,15120,1680,120,720,96,216,12,420,36,420,12,144,120,48,72,
12,420,36,12,12,8,12,8,72,420,90,54,12,6,36,48,12,4,12,12,24,12,8,4,4,4,12,30,
2,36,6,4,12,4,18,12,12,6,12,6,2,2,4,6,4,2,4,6,2],[10810800,60480,2160,151200,
1260,432,15120,1680,120,720,96,216,12,420,36,3360,144,720,108,120,48,72,12,420
,36,12,12,8,12,8,144,15120,420,48,36,12,48,36,36,48,16,12,12,24,12,8,4,4,4,24,
420,36,120,36,8,12,4,48,36,12,12,12,12,8,12,4,12,8,4,4,12,4],[10810800,30240,
1440,1200,151200,1260,432,15120,420,160,240,96,144,16,36,12,16,420,36,60,36,
720,192,36,120,96,8,12,16,8,12,20,12,12,4,4,12,12,144,15120,420,48,36,12,48,36
,16,12,12,48,12,8,4,4,4,4,12,24,20,12,120,96,12,12,8,4,48,36,12,12,8,12,4,4,12
,8,12,4,4,12,4],[10810800,30240,480,2160,2520,216,840,120,240,32,96,16,16,144,
36,1260,12,180,12,72,24,8,8,24,16,24,12,60,24,4,12,4,120,12,72,840,24,8,24,4,
36,12,12,8,4,12,8,4,4,12,12,60,4,24,24,12,4,4,24,8,4,8,4,12,12,4,12,4,4,8,4],[
10810800,60480,2160,2520,216,45360,840,360,720,32,144,36,420,36,420,12,144,360
,16,48,36,420,36,12,12,8,12,8,72,840,24,8,108,24,12,4,12,36,8,12,8,4,4,4,12,
420,12,48,4,12,4,24,36,8,8,4,12,4,12,4,4,4,8,4],[10810800,60480,2160,151200,
1260,432,30240,1260,240,480,720,108,36,420,36,420,12,2160,36,480,240,36,36,420
,36,12,12,12,12,12,144,15120,90,72,12,720,144,36,12,12,48,240,36,12,12,12,12,
12,48,30,2,360,6,12,48,12,36,18,120,36,6,12,2,2,12,6,12,2,12,6,2],[10810800,
45360,720,1680,151200,1260,432,15120,40,240,560,48,144,48,16,24,8,40,8,420,12,
1440,96,36,240,48,16,16,8,48,8,20,4,4,4,4,4,8,8,144,15120,10,36,4,6,36,16,32,
12,12,16,8,16,4,4,4,4,8,48,10,2,240,48,2,12,8,4,36,4,8,2,16,2,2,2,8,4,12,2,4,2
,2],[10810800,15120,2160,720,151200,1260,432,15120,160,144,144,96,32,40,8,60,
36,288,36,144,32,32,40,8,8,8,8,8,8,144,15120,10,36,4,6,36,64,12,12,16,32,8,8,8
,8,24,10,2,144,2,12,16,8,36,4,32,2,2,2,2,8,4,12,2,8,2,2],[10810800,45360,2160,
2160,189000,2520,30240,240,480,720,144,432,288,96,48,840,360,72,1800,360,72,
480,288,96,96,240,144,48,48,48,48,2520,15120,180,1080,72,24,120,72,72,72,24,24
,24,72,24,24,240,96,48,48,48,60,36,72,240,144,12,72,24,24,72,24,24,24,24,24,24
,24,24,48,180,72,12,12,120,12,48,24,24,24,24,24,24,12,36,12,12,24,24,12,12,12,
12],[10810800,75600,720,3120,189000,2520,15120,4200,480,1200,144,336,48,48,360
,120,2520,120,120,3240,168,72,480,240,48,48,48,48,48,144,48,144,120,120,2520,
15120,180,180,492,36,24,120,12,12,180,72,48,24,48,36,12,12,36,12,12,120,48,48,
48,48,180,12,72,480,48,12,96,12,12,12,36,12,12,12,12,12,12,12,12,36,12,24,12,
12,12,12,48,180,24,36,12,120,12,48,12,12,12,12,12,12,12,36,12,12,12,48,12,12,
12,12,12],[10810800,75600,720,3120,37800,1260,108,15120,4200,480,1200,144,336,
48,48,360,120,2520,120,120,360,72,60,108,36,36,480,240,48,48,48,48,48,144,48,
144,120,120,36,420,12,180,108,12,36,36,24,12,12,12,12,180,72,48,24,48,36,12,12
,36,12,12,120,48,48,48,48,12,12,36,60,36,12,12,12,12,12,12,36,12,12,12,12,12,
12,12,12,36,12,24,12,12,12,12,48,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12],[10810800,126000,240,2800,37800,1260,108,16800,
2800,240,240,640,4200,40,120,600,40,100,36,84,12,4,2800,240,240,240,640,36,420
,12,120,40,36,40,28,4,12,600,40,40,40,120,40,40,640,240,240,12,12,4,12,4,100,
12,28,4,4,40,40,12,120,40,40,40,40,40,40,40,240,12,4,4,4,12,4,12,12,28,4,40,40
,40,40,40,12,4,4,4,4,4,12,40,4,4,4,4,4,4],[10810800,30240,1680,37800,5040,432,
30240,960,240,240,240,240,360,168,840,240,240,240,120,120,144,720,120,72,12,
360,96,24,24,24,240,120,120,24,120,84,24,24,24,12,12,120,36,12,120,12,24,12,12
,12,120,12,12,12],[10810800,90720,720,37800,5040,432,30240,5040,240,240,400,
1680,80,1680,1080,72,240,240,240,1680,80,80,80,80,144,720,120,72,12,360,144,24
,40,24,48,8,240,80,80,80,80,48,240,40,24,24,24,48,8,8,8,8,80,36,12,120,12,24,8
,8,8,8,12,4,40,8,12,4],[10810800,30240,1680,37800,216,216,15120,420,200,240,60
,24,840,24,80,24,360,168,120,12,16,40,24,8,4,8,80,40,4,54,54,24,18,12,6,6,180,
12,60,24,24,20,24,24,8,12,40,4,4,8,4,4,6,8,6,2,12,12,16,24,8,4,4,8,8,4,4,4,18,
6,6,6,6,12,8,4,4,4,4,4,2,6,2,2,4,6,2],[10810800,60480,2160,189000,2520,30240,
1260,240,480,720,108,36,420,36,3360,144,1440,216,72,480,240,36,36,420,36,12,12
,12,12,12,2520,15120,180,1080,36,72,24,108,72,36,48,48,48,36,12,240,36,12,12,
12,12,12,60,36,72,420,36,120,12,48,36,24,36,48,12,36,12,12,12,12,12,12,180,72,
12,12,120,12,24,36,12,12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12],[
10810800,120960,1200,189000,2520,15120,11760,120,1200,120,12,1260,12,10080,48,
2160,120,72,120,1200,120,12,1260,120,12,12,12,120,12,2520,15120,180,180,384,
120,24,120,12,12,720,48,12,36,120,12,120,12,12,12,12,180,12,72,1260,12,120,12,
120,12,120,12,48,36,12,12,12,12,12,12,12,180,24,36,12,12,12,120,12,120,12,12,
12,12,12,12,36,12,12,12,12,12,12,12,12,12],[10810800,60480,2160,37800,1260,108
,60480,420,720,720,720,36,12,420,36,420,12,720,216,108,36,720,720,12,12,420,36
,12,12,12,12,12,36,420,12,720,108,12,36,72,36,72,12,72,12,12,36,12,720,12,12,
12,12,12,12,12,12,36,420,12,12,12,72,12,72,12,12,12,36,12,12,12,12,12,12,12,36
,12,12,12,12,72,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12],[
10810800,80640,1840,37800,1260,108,45360,4200,360,880,112,36,1260,12,420,120,4
,960,184,40,36,12,4,360,400,64,36,1260,120,12,12,12,120,12,36,420,12,540,120,
112,88,36,36,4,4,40,12,4,4,12,36,40,36,120,12,12,12,12,12,12,4,12,4,420,40,4,
40,4,4,4,40,36,64,36,4,36,12,12,12,12,12,12,12,12,4,12,4,4,4,4,4,40,36,40,4,4,
4,12,12,12,12,12,12,4,4,4,4,4,4,12,4,4,4,4,4,4],[10810800,30240,2880,720,37800
,5040,432,30240,240,240,240,48,48,480,144,48,360,72,240,240,24,24,24,24,144,
720,120,72,12,360,24,24,24,24,24,240,24,24,48,24,12,12,12,24,24,12,12,24,36,12
,120,12,24,12,12,12,24,12,12,12,12],[10810800,30240,3600,37800,5040,432,30240,
240,240,240,96,144,144,16,144,48,24,360,72,240,240,16,144,16,16,16,16,144,720,
120,72,12,360,24,24,24,16,16,16,8,240,16,16,16,16,8,16,8,8,4,8,16,8,24,24,8,8,
8,16,36,12,120,12,24,8,8,8,8,4,4,8,4,8,12,4],[10810800,30240,3600,37800,216,
216,15120,420,360,240,108,48,144,16,144,12,24,360,72,120,12,24,72,24,8,12,8,16
,12,8,54,54,24,18,12,6,6,180,12,36,24,12,12,24,8,4,16,8,12,8,4,4,12,8,4,6,4,6,
2,4,2,2,8,8,4,4,4,12,12,12,4,8,4,4,4,18,6,6,6,6,12,4,4,4,4,4,4,2,2,2,2,2,4,6,2
],[10810800,45360,2160,2160,37800,5040,432,30240,240,480,720,144,432,288,96,48
,840,360,72,360,72,144,480,288,96,96,240,144,48,48,48,48,144,720,120,72,12,360
,24,24,24,72,72,24,24,24,72,24,24,240,96,48,48,48,24,48,24,24,24,24,72,24,24,
24,24,24,24,24,24,48,36,12,120,12,24,24,24,24,24,12,12,24,24,12,12],[10810800,
75600,720,3120,37800,216,216,15120,4200,480,1200,144,336,48,48,360,120,2520,
120,120,360,72,12,480,240,48,48,48,48,48,144,48,144,120,120,54,54,24,18,12,6,6
,180,12,36,24,12,12,180,72,48,24,48,36,12,12,36,12,12,120,48,48,48,48,6,12,6,6
,12,12,12,36,12,12,12,12,12,12,12,12,36,12,24,12,12,12,12,48,18,6,6,6,6,12,12,
12,12,12,12,12,6,6,6,12,6,6,6],[10810800,30240,1040,37800,5040,432,1680,560,
160,80,80,360,104,80,8,560,80,80,80,80,80,80,80,144,1680,48,80,8,48,56,8,16,8,
80,80,80,8,80,80,8,8,56,8,8,80,8,8,8,8,8,8,80,48,8,8,8,8,8,8,8,80,8,8,8],[
10810800,90720,1440,4080,75600,630,15120,3780,720,1200,96,240,48,324,108,48,
1260,108,6720,630,30,288,18,18,720,144,30,18,18,600,96,24,108,48,24,108,60,36,
36,12,12,36,36,630,360,18,48,24,6,6,360,30,96,96,72,24,6,6,6,18,6,6,18,18,24,
108,24,12,12,12,12,36,630,18,30,30,18,18,18,24,6,96,6,18,6,6,6,6,24,24,24,12,
630,18,30,30,18,6,18,6,6,6,18,18,18,6,6,6,6,24,6,30,18,6,6,6,18,18,18,6,6,6,6,
6,6,6,6,18,6,6,6,6,6,6,6],[10810800,151200,480,4080,75600,630,19320,360,2640,
96,48,48,432,108,1260,108,10080,630,90,240,6,18,1440,48,90,18,6,2640,24,24,24,
360,36,180,72,36,12,12,36,24,630,240,6,48,18,6,1440,90,240,18,18,48,48,6,6,6,6
,18,6,360,12,36,24,12,12,12,630,18,90,90,6,6,18,48,6,240,6,6,6,6,48,48,6,18,12
,630,18,90,90,6,6,6,6,18,18,6,18,6,18,18,6,6,48,6,90,6,6,6,18,6,18,6,18,18,6,6
,6,6,6,6,6,6,6,18,6,6,6,6],[10810800,120960,3120,75600,630,15120,10080,600,
1200,24,36,2100,132,8400,630,60,216,18,1080,60,18,360,720,12,840,240,24,24,12,
120,48,36,630,360,72,18,6,840,60,120,72,6,6,18,18,120,6,24,6,24,12,120,12,12,
36,12,630,18,60,60,18,120,24,6,6,72,72,18,6,24,6,24,6,24,6,12,630,18,60,60,6,6
,18,18,18,6,6,6,6,24,6,60,6,18,18,18,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6],[
10810800,60480,960,3120,75600,630,420,80,720,128,180,36,16,2100,132,5040,630,
264,12,18,360,96,18,12,36,16,12,40,24,8,24,8,120,12,36,24,630,24,6,8,2,72,8,24
,24,2,2,12,18,8,6,120,6,24,6,8,4,4,4,12,12,12,630,18,12,12,18,8,8,2,2,2,12,4,6
,4,2,24,6,2,4,4,630,18,12,12,2,2,6,18,6,2,2,6,6,2,4,12,2,6,18,6,6,6,2,2,2,2,2,
2,6,6,2,2,2,2,2,2],[10810800,15120,2160,2640,54,15120,144,144,32,48,72,48,120,
24,18,18,2,54,6,144,8,48,12,8,4,24,8,24,18,54,6,18,2,18,2,2,2,6,4,8,4,24,4,18,
18,2,18,2,2,18,2,6,2,2,4,6,6,2,2,18,18,18,2,2,2,2,2,18,6,6,2,2,2,2,6,2,2,2,2,2
],[10810800,65520,240,1200,37800,1260,108,4200,560,48,112,120,840,40,2520,40,
48,240,24,60,36,12,12,240,48,16,48,40,160,40,16,16,36,420,12,12,12,8,4,180,24,
16,8,24,12,4,60,4,4,12,12,4,4,16,40,16,16,12,4,12,60,12,4,4,4,12,12,4,8,4,4,4,
4,4,12,4,4,4,4,4,4,16,12,4,12,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4],[
10810800,35280,720,1200,189000,2520,15120,160,400,48,144,48,16,560,48,840,120,
48,1200,120,24,160,48,16,16,48,40,8,16,16,24,8,2520,15120,180,180,40,4,24,24,8
,16,12,12,4,60,4,12,68,8,16,16,8,8,8,60,12,24,160,48,4,4,12,12,4,4,4,8,12,4,4,
4,4,4,4,16,4,4,8,180,4,12,8,16,4,4,16,4,4,4,4,4,4,12,12,4,4,8,4,4,4,4,4],[
10810800,35280,720,5040,189000,2520,15120,480,400,240,144,48,48,240,120,96,840
,120,576,48,1200,216,24,160,48,48,48,16,16,32,48,40,96,16,16,8,8,16,16,2520,
15120,180,180,24,40,12,12,24,24,40,16,100,12,12,24,40,24,28,8,24,16,16,16,8,8,
8,8,16,8,48,60,36,24,96,8,8,8,4,4,160,48,4,4,4,12,12,12,12,4,4,4,4,8,8,20,4,24
,4,8,4,8,4,4,4,8,180,8,8,24,4,4,16,16,16,8,4,4,4,8,4,4,4,4,4,4,4,4,8,24,12,12,
4,4,8,4,8,4,4,4,4,4],[10810800,110880,1440,3120,189000,2520,15120,3780,160,560
,288,144,48,276,84,16,1260,60,15120,2520,240,336,24,480,312,24,40,96,24,24,72,
36,16,8,28,1260,60,12,12,24,24,4,8,8,4,12,24,2520,15120,180,180,24,8,12,28,180
,96,24,72,20,36,12,84,4,8,24,24,180,4,24,12,8,4,4,4,8,4,4,12,24,4,2520,24,48,
24,1260,180,60,4,180,24,4,4,4,4,40,96,4,4,4,24,4,8,8,4,24,8,4,4,12,24,4,24,4,
24,4,4,4,4,180,48,8,24,8,8,24,12,4,8,4,4,4,24,4,4,4,4,4,4,4,4,180,4,24,24,8,4,
4,4,24,4,4,4,4,4],[10810800,50400,1440,4080,189000,2520,15120,1260,320,240,288
,144,48,252,108,16,420,84,3360,240,504,48,840,264,24,40,96,24,24,72,12,16,8,36
,420,84,4,4,24,24,12,8,8,12,4,24,2520,15120,180,180,36,36,24,20,72,16,76,36,12
,48,24,8,24,28,8,12,12,12,8,12,4,4,8,4,4,4,24,4,48,60,36,24,420,84,8,8,8,4,4,
40,96,4,4,12,24,12,12,24,8,4,12,8,12,12,4,4,8,4,8,4,4,4,4,180,8,8,24,4,4,8,24,
4,12,8,4,4,12,8,4,4,4,4,4,4,4,4,8,12,12,24,4,4,4,4,8,4,4,4,4,4],[10810800,
80640,5040,37800,1260,108,45360,1680,840,1680,96,408,108,420,84,1680,420,216,
28,12,600,72,36,84,840,48,136,108,420,84,28,28,24,28,24,36,420,12,540,12,12,36
,24,12,60,16,72,72,36,20,28,12,12,12,8,12,12,108,24,28,24,12,12,12,4,12,12,4,
12,420,28,4,8,4,8,4,28,4,12,4,72,8,8,4,12,12,12,12,12,12,4,4,8,4,8,4,4,4,12,12
,4,4,4,12,4,12,12,28,4,4,12,8,4,4,4,4,4,4,4,4,4,12,4,4,4,4,12,4,4,4,4,4,4,4],[
10810800,50400,1440,4080,37800,1260,108,1680,200,560,96,288,48,48,360,84,2100,
36,1680,240,300,144,36,36,12,240,120,36,84,24,24,72,48,64,28,100,56,12,36,12,
280,36,36,420,12,12,36,36,8,12,8,60,96,24,16,24,12,12,12,84,36,12,36,8,12,180,
4,24,24,12,28,24,12,12,36,36,12,12,12,12,100,12,12,4,12,4,4,4,12,8,28,4,4,4,4,
8,8,4,24,8,8,36,4,4,4,8,4,24,4,8,4,4,4,12,12,12,12,12,12,12,12,12,28,4,4,4,8,4
,4,4,4,4,4,4,4,12,4,4,4,12,4,12,4,4,4,4,4,4,4],[10810800,95760,1680,3120,37800
,1260,108,45360,4200,480,1200,144,400,144,48,120,1680,48,2520,420,280,180,120,
36,36,4,12,600,72,60,36,12,12,480,240,144,48,48,48,16,144,40,1680,120,48,16,16
,24,24,8,120,16,24,8,36,420,12,540,12,12,24,12,4,180,72,64,24,60,48,36,36,12,
12,4,12,12,4,4,4,12,180,4,12,12,16,48,120,16,24,8,8,8,8,8,8,36,12,12,12,4,4,12
,420,60,4,12,12,4,180,12,4,4,12,4,4,4,60,12,4,4,12,4,36,36,12,12,12,12,12,4,24
,4,4,4,12,12,4,4,12,4,4,12,12,12,4,4,4,4,8,12,12,4,4,4,12,4,4,4,60,12,4,4,4,4,
4,4,12,12,4,4,4,4,4,4,12,4,4,4,4,4,12,4,12,4,12,4,4,4,4,4,12,4,4,4,4,4,4,4],[
10810800,65520,240,5040,37800,1260,108,4200,320,560,240,112,32,360,120,840,72,
2520,40,120,192,24,12,240,120,60,36,12,12,240,48,32,16,48,48,48,40,40,160,32,
48,16,40,24,24,8,36,420,12,12,36,8,12,8,4,180,24,16,40,24,24,8,12,12,36,12,8,
12,12,4,8,24,16,16,24,16,8,8,16,8,4,12,12,4,12,40,24,4,8,4,8,4,60,12,4,4,4,4,
12,8,4,4,12,12,4,8,12,4,4,4,4,8,4,8,4,24,4,4,4,8,12,4,4,4,12,4,4,8,4,4,12,4,4,
4,8,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4],[10810800,45360,240,5360,
37800,1260,108,1680,320,560,240,112,32,384,120,1680,48,840,40,240,216,36,16,6,
360,104,20,36,12,2,80,48,32,16,48,48,48,48,40,160,48,32,16,120,16,24,8,36,420,
12,48,24,8,12,8,4,8,24,40,24,24,8,36,8,24,24,8,12,4,2,180,4,12,12,16,16,16,24,
8,8,16,8,36,2,6,6,4,4,2,80,16,12,2,4,24,8,4,20,12,12,2,8,4,12,8,4,4,16,8,8,8,4
,8,4,4,8,4,12,4,4,12,8,4,4,4,8,12,4,2,6,2,2,2,2,4,8,4,12,8,2,8,4,8,4,4,4,4,4,4
,4,4,12,2,4,2,4,2,2,2,4,4,4,2,2,2,2,2,2,2],[10810800,90720,1440,3440,37800,
1260,108,9240,200,1040,288,48,48,288,84,420,84,3360,240,60,120,36,16,12,6,360,
104,80,36,2,1040,24,24,72,120,28,100,56,36,12,12,28,24,36,420,12,48,24,8,12,8,
12,360,96,24,48,12,12,12,8,32,8,12,8,8,2,4,8,12,12,120,12,28,24,12,12,12,12,2,
12,6,6,4,2,20,16,12,4,2,8,4,8,4,80,12,2,8,4,4,8,8,4,48,24,4,8,8,4,8,4,8,4,12,
12,4,4,4,4,12,12,6,4,2,2,2,2,2,12,8,4,4,8,2,8,4,8,4,4,4,4,4,4,4,4,4,2,4,2,12,2
,2,2,4,4,4,2,2,2,2,2,2,2],[10810800,75600,1680,3440,37800,1260,108,45360,1680,
480,1200,144,400,144,48,144,840,72,840,420,280,60,144,36,12,12,6,720,56,20,36,
12,2,480,80,144,48,48,48,16,144,48,840,40,72,24,24,24,24,8,40,24,24,8,36,420,
12,540,48,24,12,4,56,72,24,20,48,36,36,12,16,12,12,4,4,12,2,8,24,16,48,40,24,
24,8,8,8,8,8,8,12,2,12,6,6,4,2,420,20,12,12,4,2,8,4,8,4,20,12,12,2,8,12,36,36,
12,12,12,16,24,8,4,8,24,4,8,4,8,4,4,4,8,12,6,4,2,2,2,2,2,4,20,12,4,4,4,12,2,8,
12,8,4,4,4,4,4,4,4,4,4,2,12,2,4,2,2,2,4,4,4,2,2,2,2,2,2,2],[10810800,65520,
3120,2160,37800,1260,108,4200,240,160,560,48,304,192,64,120,48,96,2520,520,48,
72,8,24,240,120,60,36,12,12,240,32,80,48,16,48,40,48,16,16,16,32,48,16,8,8,16,
16,36,420,12,12,24,12,8,16,4,180,120,16,8,24,48,16,12,4,24,12,4,8,4,12,8,24,16
,16,16,8,8,8,16,8,24,12,8,4,12,8,24,8,8,8,4,4,60,12,4,4,4,8,16,12,12,4,8,4,24,
8,8,8,4,4,8,4,8,4,24,4,4,4,8,12,8,4,12,4,4,4,8,4,4,4,4,4,8,8,4,4,4,4,4,4,4,4,8
,8,12,4,4,4,4,4,8,4,4,4,4,4],[10810800,50400,3360,2160,37800,1260,108,45360,
420,240,240,288,400,48,84,36,48,420,84,420,560,72,72,4,24,600,72,36,12,24,120,
288,24,8,24,4,48,24,12,420,84,4,4,24,24,12,8,8,12,4,24,36,420,12,540,12,12,24,
12,4,72,12,100,12,8,24,12,4,24,4,4,12,8,12,12,4,24,12,4,4,8,4,4,4,24,4,24,12,4
,8,12,420,4,24,8,8,8,4,4,24,4,4,12,4,72,12,4,8,24,12,4,4,12,12,4,4,8,4,8,4,4,4
,4,12,8,4,12,4,4,4,24,4,4,4,4,12,4,8,4,4,4,4,4,4,4,4,8,12,4,8,4,4,4,4,8,4,4,4,
4,4],[10810800,20160,1920,4080,37800,1260,108,420,240,400,80,192,192,64,96,84,
36,32,1260,60,320,180,144,36,36,8,12,240,120,36,12,24,64,16,8,80,24,4,32,16,12
,60,24,8,12,12,12,16,4,8,4,12,24,36,420,12,12,24,12,8,16,4,48,32,24,16,24,8,16
,4,12,8,4,4,12,180,4,24,4,16,12,4,8,4,4,4,4,8,4,36,12,8,8,12,60,8,12,12,4,12,4
,4,12,8,4,24,4,4,4,8,16,8,4,8,16,8,4,4,8,4,24,4,8,4,4,4,4,12,8,4,12,4,4,4,8,4,
4,4,4,8,4,8,4,4,4,4,4,4,4,4,12,4,8,8,4,4,4,4,8,4,4,4,4,4],[10810800,156240,720
,3120,189000,2520,15120,12600,160,1520,144,336,48,16,360,1680,48,19320,2520,
120,312,24,1560,168,24,160,720,48,16,16,144,48,144,120,1680,120,48,16,16,24,24
,8,120,16,24,8,2520,15120,180,180,36,36,56,4,1260,72,48,24,128,12,12,4,84,28,
24,180,4,12,12,48,16,120,16,24,8,8,8,8,8,8,2520,24,120,24,24,1680,180,48,4,180
,12,4,4,12,4,4,4,160,48,4,4,12,12,12,4,4,4,36,36,12,24,12,28,12,12,4,4,12,4,4,
12,12,12,4,4,4,4,8,180,120,24,8,24,8,16,120,24,8,16,4,12,4,12,4,4,4,4,4,4,12,4
,4,4,4,4,180,4,12,12,12,12,8,4,8,4,12,12,4,4,4,4,4,4],[10810800,80640,5040,
189000,2520,15120,2520,280,1680,288,576,36,420,84,5040,552,48,2280,72,24,280,
144,192,36,420,84,28,28,24,28,24,2520,15120,180,180,180,36,24,4,60,48,184,24,
36,84,4,8,8,12,12,36,72,28,24,12,12,12,48,180,12,24,420,84,8,8,4,8,4,280,4,4,
12,24,24,24,36,12,4,4,12,12,4,4,8,4,8,4,4,4,12,180,8,24,8,12,4,36,24,28,4,12,4
,8,4,4,4,4,4,4,4,4,8,12,12,24,4,4,12,4,8,4,4,4,4,4],[10810800,95760,720,4080,
189000,2520,15120,5040,160,1520,144,336,48,16,432,840,72,7560,120,480,48,1920,
120,24,160,240,48,16,16,144,48,144,144,840,40,72,24,24,24,24,8,40,24,24,8,2520
,15120,180,180,144,56,4,240,24,72,24,160,12,12,4,48,64,8,8,24,48,16,40,24,24,8
,8,8,8,8,8,48,180,12,24,840,72,8,8,4,8,4,160,48,4,24,4,12,12,4,4,4,48,24,24,24
,16,24,4,8,4,8,4,4,4,8,180,8,24,8,12,4,16,40,24,8,24,4,24,4,8,4,4,4,4,4,4,4,4,
8,24,12,12,4,4,8,4,8,4,4,4,4,4],[10810800,201600,3120,189000,2520,15120,25200,
280,3120,360,36,2100,36,23520,2520,288,24,2640,24,24,280,3120,360,36,2100,280,
36,36,36,280,36,2520,15120,180,180,288,24,4,2640,288,24,24,24,24,4,180,4,24,
360,36,280,36,36,36,36,2520,24,240,24,2100,180,36,4,180,24,4,4,4,4,280,4,24,4,
24,288,24,24,4,4,24,4,24,4,24,4,4,4,36,180,240,24,24,24,36,280,36,4,24,4,24,4,
4,4,4,4,4,4,4,180,4,24,24,24,4,36,4,24,4,4,4,4,4],[10810800,120960,4400,37800,
1260,108,45360,9240,840,2160,336,108,2100,36,3360,420,240,192,36,12,6,720,56,
80,36,2,840,1040,192,108,2100,280,36,36,36,280,36,36,420,12,540,48,24,12,12,
360,80,96,72,36,12,32,16,12,12,2,180,4,24,120,108,280,36,36,36,36,36,2,12,12,6
,6,2,420,80,12,12,2,180,24,4,4,4,4,80,12,2,8,12,72,48,8,16,12,12,12,24,4,24,4,
24,4,4,4,36,12,12,6,2,2,2,2,2,12,80,12,12,12,2,8,12,24,4,4,4,4,4,4,4,4,12,2,12
,2,12,2,2,2,12,4,12,2,2,2,2,2,2,2],[10810800,60480,2240,3120,1575,54,45360,420
,480,720,192,304,48,84,36,48,420,84,525,45,69,21,18,6,15,63,23,2,360,192,24,8,
16,12,48,24,12,420,84,12,12,16,16,12,8,8,12,12,16,18,420,3,27,3,3,3,7,15,9,3,
21,7,9,23,3,3,9,21,1,2,9,1,3,3,4,24,12,4,4,8,4,4,12,16,4,18,2,6,6,2,420,12,16,
3,1,9,3,3,1,1,1,1,1,16,12,1,3,1,3,1,3,1,9,9,3,7,3,1,3,3,3,1,1,3,1,3,1,3,1,3,1,
1,1,4,3,6,2,2,2,2,4,16,12,4,4,1,3,1,3,3,1,1,1,1,1,1,1,1,1,1,1,3,1,3,1,3,1,2,1,
4,1,3,1,1,1,1,1,1,1],[10810800,60480,960,4400,151200,315,108,15120,1260,400,
720,192,112,48,252,108,16,420,84,3360,105,105,336,9,36,9,6,720,128,35,27,3,2,
120,64,24,24,48,36,16,8,36,420,84,12,12,16,16,12,8,8,12,12,16,36,15120,9,9,9,
16,9,3,1,35,48,48,27,9,32,3,1,9,3,3,3,3,9,16,3,2,9,1,3,3,12,8,12,4,4,8,4,4,12,
16,4,36,2,12,12,6,6,2,420,84,9,1,9,3,3,1,1,1,1,1,120,64,1,1,3,9,3,3,3,3,3,1,1,
1,8,3,9,3,3,1,1,3,1,3,1,3,1,3,1,1,1,4,9,12,6,2,2,2,2,2,8,16,12,12,1,8,1,3,3,3,
1,1,1,1,1,1,1,1,1,1,1,9,1,3,3,3,3,2,1,4,1,3,1,3,1,1,1,1,1],[10810800,45360,
3120,2480,37800,1260,108,400,160,560,48,304,192,64,80,80,16,840,420,520,60,72,
36,12,12,6,360,104,20,36,12,2,280,32,80,48,56,80,16,16,16,80,40,16,16,8,8,8,40
,16,8,8,36,10,1,40,8,16,4,104,24,8,20,24,48,16,40,12,12,4,4,12,2,8,8,56,16,40,
8,8,16,8,8,8,8,8,12,2,12,6,6,4,2,10,10,2,2,1,1,4,4,8,10,2,2,1,28,8,16,8,28,40,
8,8,8,4,8,4,8,4,8,4,4,4,8,1,6,4,2,2,2,2,2,2,10,2,2,2,2,2,1,28,8,8,4,4,4,4,4,4,
4,4,1,1,1,1,1,1,2,1,2,4,1,1,1,1,1,1,1,1],[10810800,30240,1680,189000,2520,
15120,420,200,240,60,24,840,24,80,96,1080,168,72,120,12,16,40,24,8,4,8,80,40,4
,2520,15120,180,180,60,60,24,24,24,20,16,240,24,24,8,12,40,4,4,8,4,4,24,72,24,
16,120,12,12,12,16,24,8,4,4,8,8,4,4,4,180,24,4,12,12,12,12,4,40,8,4,4,4,4,4,24
,12,4,4,4,12,4,4,4],[10810800,90720,720,189000,2520,30240,5040,240,240,400,
1680,80,6720,1800,72,72,240,240,240,1680,80,80,80,80,2520,15120,180,1080,144,
72,24,40,24,240,240,48,8,240,80,80,80,80,120,72,840,240,120,12,24,24,24,48,8,8
,8,8,80,180,72,12,12,120,12,24,40,40,8,8,8,8,24,12,12,40,8,12,4,4,4],[10810800
,50400,1360,37800,1260,108,4200,240,160,400,40,48,80,8,600,136,40,36,12,4,400,
80,40,16,80,8,80,8,36,420,12,120,24,40,40,16,4,4,4,12,48,8,40,8,8,80,8,8,12,4,
8,4,40,4,4,4,40,40,8,16,8,8,8,8,8,12,4,4,12,4,4,40,4,4,8,8,8,8,8,4,4,4,4,8,4,4
,4,4],[10810800,30240,1680,37800,1260,108,15120,420,200,240,60,24,840,24,80,
120,360,168,108,36,120,12,16,40,24,8,4,8,80,40,4,36,420,12,180,108,12,36,60,24
,24,20,12,12,24,24,8,12,40,4,4,8,4,4,12,36,40,12,12,12,12,12,16,24,8,4,4,8,8,4
,4,4,12,36,12,12,12,12,12,4,4,8,4,4,4,4,4,4,12,12,4,4,12,4,4,4],[10810800,
110880,1680,189000,2520,15120,3780,40,560,108,2520,72,80,15120,2520,216,24,480
,24,24,40,36,1260,36,12,12,80,280,12,48,2520,15120,180,180,8,4,180,72,12,4,24,
480,8,72,8,40,12,12,12,36,24,12,2520,24,24,1260,180,36,4,180,4,4,4,40,4,4,4,72
,4,8,4,8,4,12,180,24,24,12,4,40,12,4,8,4,4,4,4,4,180,4,24,4,12,4,4,4,4,4],[
10810800,20160,1440,1680,37800,1260,108,420,120,80,96,48,16,12,1680,96,80,240,
180,72,36,36,12,240,24,36,12,8,4,60,12,12,4,80,8,4,24,24,8,36,420,12,12,12,8,
24,12,12,4,12,12,240,12,8,24,8,12,4,8,4,4,4,24,4,36,12,12,60,12,12,4,12,4,4,12
,4,4,4,4,24,4,12,8,4,8,4,4,12,12,12,12,4,4,4,4,4,8,4,4,4,4,4,12,4,12,4,4,4,4,4
,4,4],[10810800,20160,4080,189000,2520,15120,120,80,96,168,12,420,132,528,48,
480,120,24,40,16,4,96,24,16,4,16,12,8,2520,15120,180,180,24,8,12,12,16,16,32,8
,60,12,24,48,8,4,4,8,4,12,4,48,24,24,96,8,8,8,8,40,4,4,4,8,24,4,8,4,4,4,4,4,
180,8,4,12,8,4,4,12,4,4,4,4,4,4,4,8,24,4,4,4,4,4,4,4,4],[10810800,20160,4080,
37800,1260,108,420,240,400,80,84,36,420,132,144,32,12,240,120,36,12,80,4,12,24
,32,8,16,4,12,16,36,420,12,12,24,12,8,16,24,8,4,4,12,4,60,12,24,12,16,4,12,4,4
,4,4,4,8,12,32,4,8,8,4,4,4,4,4,8,4,8,4,4,4,8,4,4,12,4,4,12,4,4,4,4,4,8,4,4,4,4
,4,4,8,4,4,4,4,4,4,4,4],[10810800,20160,2880,1200,37800,1260,108,420,80,80,192
,36,12,16,1260,108,480,120,72,24,240,120,36,12,4,16,4,40,8,24,24,8,40,12,12,8,
36,420,12,12,36,8,12,8,48,12,8,12,12,60,12,24,12,8,4,4,4,4,4,12,24,12,12,40,24
,8,24,8,8,4,4,4,4,8,8,4,12,4,4,4,4,4,12,12,12,12,4,4,4,4,4,4,4,4,4,4,4,8,4,4,
12,4,4,4,4,4,4],[10810800,80640,3120,189000,2520,15120,5040,280,240,72,36,1260
,108,6720,432,48,1200,24,24,40,240,12,840,160,72,24,12,40,24,12,2520,15120,180
,180,144,24,4,240,72,8,24,4,60,12,72,24,12,40,12,12,12,12,48,120,24,840,72,8,
24,8,4,4,40,4,24,4,4,24,4,48,4,8,4,12,180,24,12,12,40,12,4,12,4,8,4,4,4,4,4,8,
24,4,12,12,4,4,4,4,4],[10810800,20160,480,4560,37800,1260,108,420,360,80,96,16
,16,156,72,96,80,80,216,24,12,240,24,36,12,24,8,8,24,4,24,24,16,24,4,80,4,8,36
,420,12,12,12,8,4,24,36,4,4,16,8,12,4,12,8,24,8,4,4,8,4,24,4,4,4,8,12,24,4,8,4
,4,24,4,4,4,4,4,8,8,8,4,8,4,8,4,4,12,4,4,12,4,4,4,4,4,4,4,8,4,4,4,4,8,4,4,4,4,
4,4,4,4],[10810800,50400,2880,1680,37800,1260,108,1680,560,96,192,192,16,96,80
,1680,480,72,72,24,240,24,36,84,48,64,16,48,16,8,80,16,36,420,12,12,12,36,8,60
,16,24,48,12,12,8,12,12,12,8,24,8,24,16,8,16,8,24,12,12,24,8,8,12,4,28,4,4,8,8
,8,4,4,24,4,8,4,8,4,8,12,12,12,12,12,4,4,4,4,4,4,8,4,4,4,8,4,4,12,4,4,4,4,4,4]
,[10810800,50400,4560,189000,2520,15120,1260,520,560,180,72,840,72,80,1680,504
,48,1920,24,24,280,36,48,120,72,24,12,24,80,40,12,2520,15120,180,180,144,8,4,
60,24,96,12,12,24,8,240,8,24,8,36,40,12,12,24,12,12,48,120,24,72,8,48,8,4,280,
4,4,24,4,8,4,24,4,8,4,8,4,12,180,24,12,12,36,12,4,40,4,4,4,8,4,4,4,8,24,4,12,
12,4,4,4,4,4],[10810800,20160,1440,3600,189000,2520,15120,80,80,96,96,144,16,
144,16,840,72,80,240,456,48,480,216,24,40,96,8,16,16,8,72,24,24,8,16,80,40,8,
2520,15120,180,180,8,20,24,16,4,36,4,32,8,8,240,8,24,8,8,40,8,8,16,8,8,48,24,
24,72,8,4,16,8,40,96,4,4,24,4,8,8,4,8,8,4,4,8,4,8,180,8,4,12,8,8,4,40,4,4,4,8,
4,4,4,8,24,4,4,8,4,4,4,4,4],[10810800,20160,6000,189000,2520,15120,280,80,96,
216,36,140,156,864,96,480,24,24,40,16,12,144,24,16,12,16,4,8,2520,15120,180,
180,8,4,16,72,40,24,4,8,16,12,20,8,8,4,12,8,4,4,4,96,24,144,16,4,16,4,40,4,4,8
,4,8,12,8,4,4,4,4,4,180,24,8,8,8,12,4,4,4,4,4,4,4,4,4,4,4,16,4,8,4,4,4,4,4,4,4
],[10810800,20160,2880,3120,37800,1260,108,420,240,80,192,84,36,16,420,148,480
,144,72,24,24,12,240,24,36,12,4,16,12,24,24,24,8,8,40,12,4,8,36,420,12,12,12,8
,24,48,8,8,12,4,12,12,4,16,4,12,4,4,12,8,4,4,4,4,4,24,4,12,24,24,8,4,8,8,4,4,4
,4,4,8,4,8,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4
,4,4,4],[10810800,60480,2160,37800,1260,108,15120,1680,120,720,96,216,12,420,
36,1680,72,360,72,108,108,120,48,72,12,420,36,12,12,8,12,8,36,420,12,180,108,
12,36,36,36,24,12,12,60,16,24,12,12,60,4,12,12,24,12,8,4,4,4,12,36,60,4,4,4,4,
36,12,12,12,12,8,8,4,4,12,4,4,4,12,36,12,12,12,12,12,12,4,4,4,4,4,4,4,4,12,12,
4,4,12,4,4,4],[10810800,50400,480,1840,37800,1260,108,4200,120,400,96,16,16,
112,36,420,36,80,72,600,40,40,36,12,24,4,400,8,8,24,40,12,60,24,12,4,4,12,8,36
,420,12,120,40,40,4,4,4,24,12,4,4,8,4,60,4,12,40,4,12,8,4,4,4,8,12,4,4,4,4,12,
4,40,24,4,4,4,40,40,4,4,8,4,4,4,4,4,12,4,4,12,4,4,4,40,4,4,4,4,4,4,4,8,4,4,4,4
,4,4,4,4,4],[10810800,60480,2160,189000,2520,30240,1260,240,480,720,108,36,420
,36,1680,72,2520,72,72,480,240,36,36,420,36,12,12,12,12,12,2520,15120,180,1080
,144,72,24,24,24,60,24,24,12,4,4,60,4,48,240,36,12,12,12,12,12,120,72,60,4,4,4
,4,360,12,24,24,24,4,4,4,48,4,4,12,180,72,12,12,120,36,12,24,4,12,4,4,4,4,4,24
,12,12,4,12,12,4,4,4],[10810800,30240,1440,1200,189000,2520,15120,420,160,240,
96,144,16,36,12,16,420,36,240,24,1080,264,72,120,96,8,12,16,8,12,20,12,12,4,4,
12,12,2520,15120,180,180,60,36,24,24,12,28,24,4,36,4,8,60,4,48,12,8,4,4,4,4,12
,24,72,12,4,4,4,4,120,96,12,12,12,12,24,4,8,4,8,4,4,4,180,24,4,12,12,12,8,12,4
,12,4,4,4,4,4,24,12,4,4,4,12,4,4,4],[10810800,20160,2160,37800,1260,108,420,
240,240,80,36,12,1260,28,120,8,240,216,36,12,80,4,4,40,16,8,8,80,4,4,36,420,12
,12,24,36,8,12,24,12,4,28,36,4,4,80,4,4,4,4,4,4,12,8,12,40,8,4,4,4,8,4,8,16,4,
8,4,8,4,4,4,12,12,4,4,4,4,4,4,4,4,4,4,4,8,4,8,4,4,4,4,4,4,4,4,4],[10810800,
80640,1200,189000,2520,15120,5040,120,240,24,12,980,36,6720,96,1200,120,24,40,
240,4,840,80,24,8,4,40,8,4,2520,15120,180,180,144,24,24,12,12,240,16,36,44,8,8
,4,40,4,4,4,4,120,24,24,840,24,40,4,24,4,4,24,24,8,8,4,16,4,8,4,4,180,12,4,8,
40,4,4,4,4,4,4,4,8,4,4,24,24,4,4,4,4,4,4,4,4],[10810800,110880,1680,189000,
2520,15120,3780,40,560,108,1400,120,16,15120,2520,216,24,480,24,24,40,36,1260,
36,12,12,16,4,40,24,2520,15120,180,180,8,4,180,72,12,4,24,180,28,8,8,12,20,8,8
,4,12,4,12,8,4,2520,24,24,1260,180,36,4,180,4,4,4,40,4,4,4,8,12,8,8,4,4,4,4,4,
180,24,8,8,12,4,8,4,4,4,4,4,4,4,4,4,4,180,4,4,8,4,4,4,4,4,4,4],[10810800,20160
,1440,1680,37800,1260,108,420,120,80,96,48,16,12,1680,112,16,240,180,72,36,36,
12,240,24,36,12,8,4,60,12,12,4,40,16,8,12,16,24,36,420,12,12,12,8,24,12,12,4,
12,12,180,12,8,12,4,4,12,4,4,8,4,4,4,4,12,8,36,12,12,60,12,12,4,12,4,4,12,4,4,
4,4,8,4,4,4,8,4,4,4,4,4,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4
,4,4],[10810800,40320,1200,189000,2520,30240,420,240,320,400,36,12,140,12,1680
,120,120,320,240,12,12,140,12,4,4,4,4,4,2520,15120,180,1080,60,72,24,36,24,40,
12,32,12,20,8,240,12,4,4,4,4,4,120,200,20,32,12,24,12,20,12,4,4,8,4,4,4,4,180,
72,24,8,120,12,12,12,24,12,4,4,4,4,4,4,4,20,8,4,4,4,12,12,4,4],[10810800,60480
,880,37800,1260,108,15120,4200,120,560,64,12,420,4,720,88,40,108,36,4,120,400,
48,12,420,40,4,4,4,40,4,36,420,12,180,108,120,36,64,56,12,12,4,4,4,12,4,4,40,
12,40,4,4,4,4,36,4,40,12,12,4,40,12,48,12,12,4,4,4,4,4,4,4,4,4,12,36,4,4,12,12
,4,4,40,12,4,4,4,4,4,4,4,12,4,4,4,4,4,12,4,4,4],[10810800,30240,3600,189000,
2520,15120,420,360,240,108,48,144,16,432,48,1080,72,72,120,12,24,72,24,8,12,8,
16,12,8,2520,15120,180,180,60,36,24,24,12,12,72,8,24,4,32,8,8,12,8,4,4,12,8,4,
48,72,72,8,8,8,12,4,4,8,120,12,12,12,12,4,8,4,4,4,180,24,24,8,12,12,12,12,4,8,
4,4,4,4,4,4,4,8,12,8,4,4,4,12,4,4,4],[10810800,30240,3600,189000,2520,30240,
240,240,240,96,144,144,16,432,48,1080,72,72,240,240,16,144,16,16,16,16,2520,
15120,180,1080,72,24,24,24,16,32,8,32,8,8,240,16,16,16,16,48,72,72,8,8,32,8,8,
120,12,24,24,8,8,8,16,180,72,8,8,120,12,24,8,4,8,4,8,8,8,8,8,12,8,8,4,8,12,4,4
,4],[10810800,50400,2880,400,37800,1260,108,4200,400,192,40,16,144,16,480,72,
24,600,40,40,36,12,4,400,40,16,48,16,8,16,24,36,420,12,120,40,40,4,4,48,8,12,
12,16,8,12,4,40,24,8,16,8,24,12,4,24,8,16,4,8,8,4,40,4,4,4,40,40,8,8,8,8,12,4,
12,4,4,4,40,4,4,4,4,8,8,8,8,8,4,4,4,4,4,8,4,4,4,4],[10810800,30240,3600,37800,
1260,108,15120,420,360,240,108,48,144,16,144,24,12,360,72,108,36,120,12,24,72,
24,8,12,8,16,12,8,36,420,12,180,108,12,36,36,24,12,12,24,8,4,12,4,16,8,12,4,12
,8,4,4,12,8,4,4,36,24,4,8,8,4,4,4,12,4,12,12,12,12,12,4,8,4,4,4,12,36,4,4,12,
12,12,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,12,4,4,4],[10810800,30240,1040,37800,
5040,432,30240,480,240,240,80,360,104,80,8,280,240,240,80,40,40,144,720,120,72
,12,360,48,24,24,8,240,40,40,8,40,4,28,24,24,8,4,4,40,36,12,120,12,24,4,4,4,40
,4,4,12,4],[10810800,50400,720,189000,2520,15120,1260,40,240,36,1400,24,80,
3360,48,840,72,24,40,12,420,12,4,4,80,120,4,16,2520,15120,180,180,36,36,24,4,
16,240,24,56,8,8,40,4,4,4,12,8,4,60,12,24,420,12,40,4,4,12,12,12,4,4,16,8,12,4
,16,4,180,4,12,8,4,40,4,12,4,4,4,4,4,8,4,12,12,4,4,4,4,4,4,4,4],[10810800,
50400,720,37800,1260,108,45360,420,120,240,12,840,40,80,420,4,600,72,36,12,120
,4,420,12,4,4,80,40,12,16,36,420,12,540,12,12,24,12,4,12,40,24,8,4,4,40,4,4,12
,4,8,4,12,4,12,420,4,4,4,12,4,12,12,4,4,4,8,4,12,16,4,12,4,12,4,4,4,12,4,4,4,4
,4,4,8,4,12,4,4,4,4,4,4,4,4,4],[10810800,50400,720,189000,2520,15120,1260,40,
240,36,840,120,16,3360,48,840,72,24,40,12,420,12,4,4,16,12,40,24,2520,15120,
180,180,36,36,24,4,16,60,28,8,8,12,60,8,4,4,12,12,8,4,60,12,24,420,12,40,4,4,
12,12,12,4,4,8,8,12,12,4,4,4,180,4,12,8,4,8,4,12,4,12,4,4,4,4,4,12,12,4,4,4,4,
4,4,4,4],[10810800,50400,720,37800,1260,108,45360,420,120,240,12,840,120,16,
420,4,600,72,36,12,120,4,420,12,4,4,16,36,40,8,36,420,12,540,12,12,24,12,4,60,
12,8,12,4,12,12,12,8,4,4,36,4,8,4,12,4,12,420,4,4,4,12,4,12,12,4,4,4,8,12,4,12
,4,4,12,4,12,4,4,4,4,4,12,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4],[10810800,50400,
2640,37800,1260,108,1680,240,160,560,96,192,96,16,1680,72,8,240,120,36,84,80,
48,64,32,16,16,16,16,36,420,12,12,24,12,36,8,16,60,16,24,12,12,4,8,8,12,4,24,
24,8,8,16,16,12,8,12,8,8,8,4,4,28,4,4,8,8,8,4,4,8,4,8,4,4,8,12,12,4,4,12,4,4,4
,4,4,8,4,4,4,4,8,4,4,4,4,4,4,4,4,4],[10810800,20160,480,2640,37800,1260,108,
420,200,80,96,16,16,108,48,840,72,16,80,120,72,240,120,36,12,24,8,8,24,4,16,40
,8,8,4,8,40,16,12,36,420,12,12,36,8,12,8,4,24,12,4,4,12,8,4,8,8,12,4,24,4,12,8
,4,8,4,4,12,8,12,40,8,4,4,4,24,4,4,4,4,4,4,8,4,8,4,8,4,4,4,12,12,4,4,4,4,4,4,4
,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4],[10810800,80640,1440,720,189000,2520,15120,
5040,80,240,96,144,16,16,840,72,16,6720,240,24,1200,216,24,40,240,96,8,16,8,
840,40,24,24,16,40,16,8,2520,15120,180,180,144,24,20,240,24,4,36,4,8,24,8,8,24
,8,8,8,8,40,16,8,120,24,24,840,8,16,4,8,40,96,4,24,4,24,4,8,4,24,4,8,4,4,8,180
,12,4,8,8,40,8,4,4,4,8,4,4,4,4,24,24,4,4,8,4,4,4,4,4],[10810800,50400,2640,
189000,2520,15120,1260,360,560,132,48,96,16,1680,168,1920,120,24,280,36,40,24,
24,8,4,8,16,4,8,2520,15120,180,180,144,24,8,12,12,60,24,40,12,4,4,24,8,8,24,36
,8,4,4,4,8,4,120,24,24,24,4,8,8,4,280,4,4,4,24,4,4,4,24,4,8,4,4,4,180,12,4,8,
36,4,8,4,4,4,4,4,4,4,4,24,24,4,4,4,4,4,4,4,4],[10810800,65520,240,1200,37800,
1260,108,4200,560,48,112,120,96,80,16,2520,40,48,240,24,60,36,12,12,240,48,16,
48,40,80,16,16,16,8,16,16,36,420,12,12,12,8,4,180,24,16,8,24,12,4,12,8,8,12,4,
24,8,16,16,8,16,8,12,4,12,60,12,4,4,4,12,12,4,8,4,4,8,8,8,4,8,4,4,8,4,8,12,4,
12,4,4,4,4,4,4,4,4,8,4,4,4,12,4,4,4,4,4,4,4,4,4],[10810800,35280,720,1200,
189000,2520,15120,160,400,48,144,48,16,840,72,80,16,840,120,48,1200,120,24,160
,48,16,16,48,80,40,16,16,16,24,24,8,2520,15120,180,180,40,4,24,24,8,16,12,12,4
,240,24,8,8,24,8,16,40,8,8,8,16,8,60,12,24,160,48,4,4,12,12,4,4,4,8,8,8,8,4,8,
16,4,8,4,8,180,4,12,8,16,40,8,4,4,4,4,8,4,4,4,12,12,4,4,4,8,4,4,4,4],[10810800
,30240,960,720,37800,5040,432,30240,240,240,240,16,16,160,360,72,48,240,240,8,
8,8,8,144,720,120,72,12,360,24,24,24,8,8,240,8,8,16,4,4,8,24,24,4,4,8,36,12,
120,12,24,4,4,4,8,4,12,4],[10810800,50400,480,3120,37800,1260,108,1680,120,560
,96,96,16,16,264,36,420,4,1680,80,144,240,24,36,84,24,8,8,24,48,64,12,60,24,4,
12,4,40,4,36,420,12,12,12,36,8,4,60,24,16,24,12,4,4,12,20,4,4,12,4,4,24,4,12,8
,4,4,4,12,8,12,24,28,4,4,4,4,8,8,8,4,4,4,4,12,4,4,4,4,4,4,4,12,12,4,4,12,4,4,4
,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4],[10810800,50400,1440,2160,189000,2520,
15120,1260,320,560,96,144,16,108,36,16,140,12,1680,240,96,1920,216,24,280,96,8
,36,16,8,36,20,12,12,4,4,4,4,2520,15120,180,180,144,8,20,60,24,24,28,36,4,12,4
,8,4,12,20,8,36,8,4,4,4,4,4,120,24,24,280,96,4,4,24,24,4,8,4,4,4,4,8,4,12,4,4,
4,4,4,4,180,12,4,8,36,8,4,4,4,4,4,4,4,4,4,24,24,4,4,4,4,4,4,4,4],[10810800,
120960,1440,2640,75600,630,15120,10080,480,1200,96,240,48,48,840,72,16,8400,
630,30,216,18,18,1080,30,18,18,360,720,96,24,48,24,840,120,24,24,16,120,16,8,
630,360,72,18,6,6,840,30,120,72,6,6,6,18,6,6,18,18,120,24,24,8,8,8,120,16,8,
630,18,30,60,18,18,120,24,6,72,72,6,18,6,6,6,6,24,24,24,8,12,2,60,30,18,6,6,6,
18,18,18,6,6,6,6,6,24,4,6,2,18,2,2,6,6,6,6,6,6,6,6,6,2,2,6,2,2,2,2],[10810800,
151200,960,2640,75600,630,19320,2640,128,360,16,96,16,10080,630,240,12,18,1440
,48,18,12,2640,360,16,32,16,8,16,24,630,240,6,48,2,1440,240,48,48,2,2,12,18,6,
6,6,360,24,8,16,8,630,18,90,12,6,18,2,2,48,240,2,48,48,6,2,6,2,8,12,2,90,12,6,
6,18,2,6,18,6,18,2,6,6,48,2,4,2,2,6,6,2,6,18,6,6,2,2,2,6,6,6,2,2,2,2,2,2],[
10810800,60480,480,4560,75600,630,420,440,720,96,48,48,252,144,840,72,16,5040,
630,90,264,6,18,360,96,90,18,6,24,24,24,36,48,40,24,8,4,8,120,16,12,630,24,6,8
,18,6,90,72,8,18,18,24,24,6,6,6,6,18,8,6,120,24,12,12,8,4,8,4,12,630,18,90,6,
12,18,8,8,6,6,6,6,6,12,4,6,18,4,24,4,4,12,2,90,6,6,12,18,2,6,18,6,18,6,2,6,6,4
,4,2,2,6,6,2,6,18,2,6,6,2,2,6,6,6,2,2,2,2,2,2],[10810800,90720,4560,75600,630,
15120,3780,840,1200,348,144,96,16,6720,630,60,288,18,720,144,60,18,600,108,120
,24,24,8,12,8,16,12,8,630,360,18,48,24,6,360,60,96,96,6,6,72,24,18,18,24,6,6,
108,8,4,4,12,8,4,630,18,60,30,18,18,6,6,24,96,18,24,24,24,6,6,6,6,4,12,2,30,60
,18,6,6,6,18,18,18,6,6,6,6,24,6,4,6,2,18,2,2,6,6,6,6,6,6,6,6,6,2,2,6,2,2,2,2],
[10810800,110880,480,2160,75600,630,10080,200,720,32,48,16,72,36,140,204,8400,
630,30,120,6,6,840,96,30,6,6,720,8,12,40,48,24,8,4,8,24,12,8,8,630,72,8,2,840,
30,72,8,24,2,6,2,2,6,8,6,8,2,8,2,6,24,4,4,12,8,4,4,630,6,30,60,6,12,6,8,4,72,2
,4,4,2,2,6,4,2,8,2,2,4,24,60,30,6,2,12,6,2,6,6,2,2,6,2,2,4,2,4,4,6,2,6,2,6,6,2
,2,2,2,2,2,2,6,2,2,2,2,2,2,2],[10810800,80640,960,2160,75600,630,3780,240,400,
128,132,36,16,980,180,6720,630,60,96,12,6,480,48,60,6,12,36,16,12,24,24,8,8,8,
200,12,36,8,630,16,6,2,360,60,32,6,6,24,8,2,2,12,6,120,8,2,32,2,12,8,4,4,4,36,
4,630,6,60,30,12,6,6,2,2,2,8,6,2,32,8,2,2,8,8,4,24,30,60,12,6,2,6,2,6,6,2,2,6,
2,2,2,8,4,4,6,2,6,2,6,6,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2],[10810800,70560,1440,
5040,75600,630,15120,420,720,1200,160,240,80,180,108,48,140,60,5040,630,90,360
,18,30,600,90,30,18,360,96,40,24,24,36,48,24,36,140,60,12,12,8,8,12,8,8,12,12,
8,630,360,24,18,6,18,10,6,90,120,72,18,18,24,6,6,10,18,10,10,18,30,6,6,8,2,8,2
,6,12,24,12,4,4,8,4,4,12,8,4,630,30,90,18,30,6,6,8,4,2,2,2,2,2,2,6,6,72,6,6,10
,6,18,6,6,6,6,12,6,18,8,2,6,2,2,2,2,6,4,2,2,2,6,4,2,2,2,4,90,18,10,18,6,18,6,
30,18,6,18,10,6,6,2,2,6,6,6,2,2,2,2,2,2,4,2,2,2,2,2,2,18,6,6,18,10,6,6,6,6,2,6
,2,6,6,2,2,2,2,2,2,2,2,2,2,6,6,6,2,2,2,2,2,2,2,2,2],[10810800,161280,5040,
75600,630,15120,19320,600,3440,576,108,980,36,10080,630,432,30,1680,144,30,600
,2640,432,108,980,200,36,36,36,200,36,630,360,240,18,6,80,24,1440,304,96,96,64
,18,30,24,6,120,8,2,32,2,360,108,200,36,36,36,36,630,30,90,18,30,120,32,8,8,8,
8,2,2,48,24,96,240,18,48,64,24,24,6,32,2,8,32,8,2,32,8,2,8,8,36,90,18,10,18,6,
18,6,30,18,6,18,6,10,6,2,2,48,24,32,8,8,8,2,8,8,8,8,8,18,6,6,18,6,6,10,6,6,2,6
,2,6,6,2,2,2,2,2,2,2,2,2,8,6,6,6,2,2,2,2,2,2,2,2,2],[10810800,60480,2880,3760,
37800,315,27,15120,1260,320,720,320,336,80,220,84,48,420,52,1680,105,480,75,
120,27,9,9,9,3,360,136,25,27,27,9,1,120,192,40,24,48,36,48,24,28,420,52,12,12,
16,16,4,8,8,4,12,16,9,180,27,9,16,9,24,12,20,7,1,5,3,60,64,48,25,24,12,84,20,
21,7,28,4,24,9,3,15,9,5,5,3,9,8,9,1,9,3,3,1,60,3,4,3,1,16,3,1,1,12,24,4,4,4,8,
4,4,12,16,4,9,9,1,3,3,3,3,3,3,9,1,60,16,3,1,4,4,4,3,1,1,1,4,3,1,1,1,12,4,3,3,
48,12,8,8,4,16,24,12,9,3,5,3,3,9,3,3,3,4,9,4,3,7,1,16,3,1,4,1,1,1,16,4,3,1,1,1
,1,16,3,1,1,4,1,1,4,1,4,1,4,3,3,3,3,3,1,3,1,1,3,1,9,1,9,9,1,1,1,3,3,1,1,3,3,3,
3,1,1,3,3,1,1,12,4,3,3,16,1,3,1,1,1,1,1,4,4,4,1,1,4,4,1,1,4,1,4,1,4,1,9,1,3,3,
3,1,1,1,1,1,3,3,3,1,3,3,1,1,3,1,1,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,1,3,1,
3,1,1,1,1,1,1,1,1,1,1,1,1,1],[10810800,80640,480,1680,75600,630,3780,120,400,
32,48,16,108,2240,96,16,6720,630,30,96,6,6,480,48,30,6,6,8,36,60,12,12,4,200,
16,8,12,48,8,630,16,2,360,30,32,24,8,2,6,2,2,6,120,6,8,2,32,2,6,8,4,4,36,4,12,
8,630,6,30,30,6,6,6,2,8,32,2,2,6,8,2,8,2,8,2,4,630,6,2,30,30,6,2,6,2,6,2,2,6,6
,2,2,8,2,30,6,2,2,6,2,6,6,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2],[10810800,70560,3600,
75600,630,15120,420,360,1200,108,1400,216,16,5040,630,360,30,600,30,360,36,140
,36,12,12,16,36,72,24,630,360,24,18,6,120,72,24,18,30,6,8,2,8,2,8,4,12,36,12,8
,4,630,30,30,8,4,2,2,72,18,12,6,8,2,4,2,4,2,4,630,30,2,18,6,30,18,6,2,2,4,2,18
,6,18,30,2,6,2,2,2,2,2,18,6,2,2,2,2,2,2],[10810800,15120,240,80,151200,1260,
432,15120,16,16,40,8,32,20,36,12,8,16,40,8,8,8,8,8,144,15120,36,36,4,4,16,8,8,
8,8,16,4,4,10,4,2,2,16,8,36,8,2,4,4,8,2,2,2,2],[10810800,110880,960,2640,75600
,630,10080,320,720,128,96,72,16,1400,72,16,8400,630,60,120,12,6,840,96,60,6,12
,720,16,24,160,48,32,16,8,8,16,24,630,72,8,6,2,840,60,72,8,6,6,24,2,2,12,6,8,8
,2,8,2,16,8,8,24,8,630,6,60,60,12,12,6,8,4,2,2,72,2,4,6,4,2,4,2,8,2,8,630,6,2,
60,60,12,12,6,6,2,2,6,6,6,2,2,2,2,2,4,60,12,6,2,2,2,6,2,6,6,2,2,2,2,2,2,2,6,2,
2,2,2,2,2,2],[10810800,15120,2160,720,54,15120,144,144,120,24,18,18,54,144,24,
24,12,4,18,54,18,18,24,4,4,18,18,18,18,4,6,6,18,18,18,18,6,6,2,2,6,2,2,2],[
10810800,5040,720,2640,54,48,32,48,72,120,40,18,6,2,18,6,8,12,4,24,24,16,8,16,
4,18,6,6,2,2,2,4,8,4,4,4,6,18,2,6,2,4,6,10,2,2,6,2,2,2,6,6,4,2,4,2,2,2,2,2,2,2
,2],[10810800,5040,720,2640,54,48,32,48,72,360,24,18,6,2,18,6,8,12,4,360,24,24
,12,18,6,6,2,2,2,4,24,4,12,4,6,18,2,6,2,4,18,6,2,2,6,2,2,2,18,6,6,2,2,6,2,2,2,
2,2],[10810800,5040,720,720,54,48,48,120,40,18,6,18,24,24,16,8,8,16,12,18,6,2,
6,8,4,4,6,18,6,2,4,6,10,6,2,6,6,4,2,4,2,2,2,2,2,2],[10810800,5040,720,720,54,
48,48,360,24,18,6,18,360,24,24,8,4,18,6,2,6,24,4,4,6,18,6,2,4,18,6,6,2,18,6,6,
2,2,2,6,2,2],[10810800,15120,240,3920,37800,1260,108,16,32,144,48,40,8,840,40,
240,144,36,16,6,104,20,36,12,2,8,8,4,40,8,8,8,36,12,4,8,8,36,8,24,8,4,4,2,4,4,
4,8,4,8,4,36,2,6,6,4,4,2,2,4,4,10,1,2,4,2,4,4,2,2,4,4,2,6,2,2,2,2,4,2,4,1,2,2,
2,2,2,2,2,1,2,2,1,1,1,1],[10378368,72576,362880,72576,9408,48,8064,8064,96,
72576,240,96,48,24,24,8064,96,24],[10378368,72576,3024,2016,9408,48,1008,8064,
96,2016,24,16,48,8,24,1008,16,8],[10378368,1920,36288,320,2688,8,192,64,8,32,
48,8,32,8,16,8,8,8,8,8,8,8],[10378368,48384,1920,36288,640,2688,8,576,192,2688
,64,8,64,64,48,8,64,8,48,16,8,16,8,8,16,8,8,8,8,8],[10378368,1920,36288,320,
2688,8,192,64,8,32,48,8,32,8,8,16,8,8,8,8,8,8,8,8],[10378368,24192,36288,288,
2688,8,288,1344,32,32,48,8,48,16,8,24,8,4,8,8,8,4,4,4],[10378368,24192,36288,
2016,2688,8,288,1344,32,288,48,8,144,16,8,24,8,4,24,8,8,4,4,4],[10378368,2304,
1920,36288,64,2688,8,384,192,64,4,8,4,32,48,8,4,8,16,8,4,4,8,4,4,8,4,8,4,4],[
10378368,1920,36288,64,2688,8,192,64,8,32,48,8,4,8,16,8,8,4,8,4,8,4],[9729720,
49896,4680,3096,1512,504,144,792,72,456,288,96,216,168,72,24,1260,504,72,48,72
,72,24,72,72,168,168,24,24,24,72,72,24,24,24,24,24,72,24,72,72,24,24,24,24,24,
1260,156,36,156,36,168,24,24,72,72,24,24,24,24,24,24,24,24,24,24,24,72,24,24,
24,24,24,24,24,24,84,12,12,24,156,12,12,36,24,24,84,12,12,12,72,24,24,24,24,24
,24,84,12,12,84,12,12,12,84,24,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12
,12,12,12,12,24,84,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12
,12,12,12,12,12,12,12,12,12,12,12,12],[9729720,45360,1800,3780,360,240,360,36,
72,600,30,360,120,36,24,120,12,120,240,12,12,6,36,120,12,12,120,12,12,6,12,120
,12,12,6,6,6],[9729720,45360,1800,3780,360,240,360,36,72,120,32,30,360,120,36,
24,120,12,120,12,16,12,6,36,12,12,8,120,12,12,2,12,8,12,4,6,6,2],[9729720,
49896,3240,2808,27216,216,576,936,216,648,432,144,72,1260,108,120,24,1260,576,
432,144,144,216,216,72,72,72,72,120,60,24,24,24,12,36,36,36,12,24,24,1260,108,
36,108,36,216,144,72,72,72,60,12,12,12,12,36,24,24,24,24,12,12,12,90,6,18,6,36
,36,36,36,108,36,36,36,36,36,36,36,72,24,12,12,12,12,12,36,36,36,36,36,36,36,
36,36,36,36,36,6,6,18,6,6,6,6,6,6,6,6,6,12,36,36,36,36,36,6,6,6,6,6,6,6,6,6,6,
6,6,6,36,6,6,6,6,6,6,6],[9729720,49896,4680,3096,27216,432,576,936,216,744,432
,144,144,72,24,1260,252,576,432,144,144,216,216,84,144,72,72,72,72,36,24,24,12
,12,12,36,24,12,12,1260,156,36,156,36,216,84,144,72,72,72,36,12,12,36,12,12,24
,12,12,12,12,12,36,72,36,36,156,36,36,36,36,36,36,72,12,12,72,36,12,12,12,12,
12,42,36,36,36,72,36,36,36,42,36,36,36,36,36,6,6,12,6,12,6,12,6,6,6,12,12,42,
36,36,36,36,36,6,6,6,6,6,6,6,6,12,6,6,6,36,6,6,6,6,6,6,6],[9729720,68040,3240,
4248,27216,1512,216,576,1464,264,744,432,144,216,72,504,72,24,8,1260,576,72,
432,144,144,216,72,24,264,72,72,72,72,72,504,24,72,24,24,24,24,8,24,8,8,8,24,
24,8,8,8,24,24,8,1260,108,60,108,60,216,24,144,72,72,72,24,24,8,8,8,8,8,24,24,
8,8,8,8,8,24,24,8,8,8,8,8,8,8,36,36,44,12,36,108,44,44,36,60,36,36,36,12,4,4,4
,4,72,24,8,8,8,8,8,8,8,8,8,12,36,36,36,36,36,36,36,36,36,36,36,44,12,12,12,4,4
,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,12,36,36,36,36,36,4,4,4,4,4,4,4,4,4,4,4
,4,4,4,4,4,4,4,4,4,4,4,4,36,4,4,4,4,4,4,4,4,4,4,4],[9729720,49896,1800,2520,
1512,72,48,792,72,264,96,32,216,24,24,8,1260,72,16,24,72,24,72,72,24,8,8,8,24,
8,8,8,24,8,8,8,8,1260,60,36,60,36,24,8,24,8,8,8,8,8,8,8,8,8,12,12,12,8,60,12,
12,36,8,8,12,12,4,4,8,8,8,8,12,4,12,4,4,4,8,12,12,12,12,4,4,4,4,4,4,4,4,4,8,12
,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4],[9729720,49896,1800,2520,1512,72,48,792,72,
264,96,32,216,24,24,72,1260,72,16,24,72,24,72,72,24,8,8,8,24,8,8,8,24,72,8,8,
32,32,1260,60,36,60,36,24,8,16,24,8,8,8,8,8,32,8,16,12,12,12,8,60,12,12,36,8,8
,12,12,4,4,8,8,8,16,12,4,12,4,4,4,8,12,12,12,12,16,8,8,4,4,4,4,4,4,4,4,8,12,4,
8,4,4,4,4,4,8,4,4,8,4,4,4,4],[9729720,49896,1800,2520,1512,72,48,792,72,264,96
,32,216,24,120,40,1260,72,16,24,72,24,72,72,24,8,8,8,24,8,8,8,24,48,8,8,40,16,
16,1260,60,36,60,36,24,8,24,8,8,24,8,8,8,8,8,8,16,12,12,12,8,60,12,12,36,8,8,
12,12,20,20,24,8,8,8,8,12,4,12,4,4,4,8,12,12,12,12,4,8,4,8,4,20,4,8,4,4,4,8,12
,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4],[9729720,31752,3240,1368,288,48,264,24,
264,96,32,96,504,72,72,24,1260,252,16,24,24,84,96,8,8,8,24,12,8,8,4,4,4,24,36,
24,24,24,8,12,12,1260,108,12,108,12,84,8,24,12,8,8,4,4,12,4,4,8,4,4,4,4,8,12,
48,4,8,108,4,4,12,8,8,48,12,4,12,4,12,4,4,4,4,8,4,42,4,48,4,4,4,42,8,4,4,6,4,6
,4,2,12,4,4,6,4,2,2,2,4,4,42,4,2,2,6,4,2,2,4,2,4,2,4,2,4,2,2,2,2,2,2,4,2,2,2,2
],[9729720,49896,1800,2520,1512,72,48,792,72,264,96,32,216,24,144,264,24,1260,
72,16,24,72,24,72,72,24,8,8,8,24,8,8,8,264,24,24,24,8,24,16,1260,60,36,60,36,
24,8,24,16,8,8,24,8,8,8,8,8,24,8,24,8,12,24,4,12,12,12,8,60,12,12,36,8,8,12,12
,4,4,24,8,8,8,8,12,4,12,4,4,4,8,12,12,12,12,12,8,4,4,4,4,4,4,4,4,4,4,4,4,4,8,
12,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4],[9729720,49896,1800,2520,1512,
72,48,792,72,264,96,32,216,24,2520,72,24,40,1260,72,16,24,72,24,72,72,24,8,8,8
,24,8,8,8,24,360,40,8,8,72,24,24,16,16,1260,60,36,60,36,24,8,16,8,8,24,8,8,8,8
,8,72,16,8,24,24,180,12,8,12,12,12,8,60,12,12,36,8,8,12,12,4,4,24,8,8,8,8,12,4
,12,4,4,4,8,12,12,12,12,36,12,12,8,4,4,12,4,4,4,4,4,4,4,4,8,12,4,8,4,4,4,4,4,4
,4,12,12,12,4,4,4,12,4,4,4,4,4],[9729720,58968,1080,3096,13608,1512,216,1080,
120,312,72,24,216,252,108,120,40,1260,216,72,72,24,24,72,24,120,72,252,12,36,
12,12,12,12,4,120,12,40,24,24,4,12,12,12,12,32,32,1260,36,48,36,48,24,24,12,8,
4,4,8,12,12,12,4,4,4,4,4,24,32,24,24,4,4,6,12,10,18,20,12,6,36,20,20,18,48,6,6
,12,2,2,24,4,4,4,4,8,4,12,6,18,6,6,6,6,20,12,12,12,6,4,10,6,6,2,2,8,8,2,2,2,2,
2,2,2,2,2,2,2,2,4,12,6,4,2,2,2,4,2,2,2,2,2,6,8,6,2,6,2,2,2,2,6,4,2,2,2,2,2,2],
[9729720,27216,1440,2376,1512,504,264,72,96,96,48,48,16,72,72,32,1260,504,72,
32,8,72,16,8,24,72,24,72,16,16,72,72,72,8,16,48,24,156,36,8,8,8,8,8,72,72,8,16
,72,84,12,12,24,16,8,12,4,12,8,16,4,12,72,8,8,8,8,84,12,12,8,4,4,8,12,4,8,12,
12,12,12,4,4,8,8,8,4,12,12,4,8,4,4,4,4,12,12,4,4,4,4,4],[9729720,45360,1224,
27216,1512,648,312,264,504,168,1260,504,216,72,264,504,24,168,120,72,72,24,120
,204,60,216,24,24,72,72,24,120,72,36,108,44,12,52,28,4,72,72,24,24,24,84,12,36
,44,12,12,4,20,28,4,4,20,24,36,12,4,20,4,4,12,12,12,12,4,4,4,4],[9729720,27216
,4320,1800,1512,72,168,72,96,96,240,48,64,72,120,16,1260,72,32,8,24,24,16,16,8
,24,24,24,40,8,16,16,8,24,48,16,8,8,8,144,24,60,36,8,24,8,8,8,24,16,8,8,16,8,8
,8,12,12,12,8,16,8,12,20,12,32,8,4,20,8,8,8,24,8,12,4,8,8,4,12,4,8,8,4,4,4,8,4
,4,4,20,8,4,4,8,4,8,4,4,8,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4],[9729720,9072,2880,
3528,288,168,24,144,96,48,80,72,40,504,72,32,1260,252,32,8,24,8,12,24,8,24,24,
24,12,16,16,20,12,4,8,24,36,8,8,20,4,96,48,108,12,8,24,12,8,4,8,12,8,4,8,4,8,
16,4,8,4,4,48,4,8,24,8,12,4,20,20,4,16,12,4,4,4,4,8,12,4,4,42,4,12,4,6,4,8,4,4
,10,4,6,4,2,4,2,4,8,4,4,6,2,10,8,4,4,2,4,4,4,2,8,2,4,2,4,4,2,4,2,2,2,2,4,2,2,2
,2,2,2],[9729720,45360,2880,648,27216,1512,216,216,264,192,48,504,24,48,1260,
216,72,216,24,16,504,24,24,8,24,32,8,24,24,16,24,8,96,108,60,216,24,24,24,24,
24,16,24,8,8,8,36,36,44,12,36,16,24,24,4,4,8,24,24,8,8,12,36,36,8,12,8,12,4,4,
4,4,4,4,4,4,16,12,8,36,4,4,8,12,12,4,4,4,4,4,12,4,4,4,4,4],[9729720,27216,1440
,2376,27216,432,216,216,48,32,72,24,72,72,32,1260,252,216,216,8,12,8,72,72,8,
36,16,12,4,12,8,36,8,8,8,20,4,48,24,156,36,216,36,8,8,12,36,8,4,8,12,8,4,8,4,4
,36,72,36,36,8,8,12,4,16,4,12,4,36,12,8,4,4,4,42,36,36,4,6,4,4,4,10,6,12,6,4,2
,4,2,4,4,6,6,8,4,36,6,4,4,6,4,4,4,6,6,2,4,2,2,2,6,4,6,2,2,2,2,2],[9729720,
27216,2088,27216,216,216,216,48,72,72,40,1260,216,216,8,72,8,8,8,8,16,4,24,108
,36,216,8,8,4,8,8,4,8,36,36,36,36,8,4,4,4,8,4,4,36,36,4,4,4,4,4,4,4,2,4,36,2,4
,4,4,4,2,4,2,2,2],[9729720,58968,1080,3096,13608,1512,216,1080,120,312,72,24,
216,2772,180,120,8,1260,216,72,72,24,24,72,24,120,72,252,12,36,12,12,12,12,4,
120,372,8,8,8,12,36,108,60,36,1260,36,48,36,48,24,24,60,12,4,4,4,4,12,12,12,4,
4,4,4,4,36,72,8,12,12,24,36,24,12,8,4,180,6,24,2,18,20,12,6,36,20,20,18,48,6,6
,12,2,2,24,12,8,4,4,4,4,12,4,4,4,12,6,18,6,6,6,6,20,12,12,12,6,36,24,16,2,2,2,
6,6,16,2,2,2,2,2,2,2,2,2,2,2,2,4,12,6,6,2,2,2,2,2,2,2,2,2,2,6,12,12,16,6,2,6,2
,2,2,2,2,2,2,2,12,6,2,2,2,2,2,2,2,2,2,2],[9729720,31752,1800,1080,72,48,264,24
,168,96,32,24,1764,180,120,24,1260,16,24,24,24,8,8,8,120,84,24,8,8,4,12,36,36,
20,8,8,1260,60,12,60,12,8,24,8,8,8,8,8,8,8,4,12,24,12,8,4,90,6,18,6,12,4,8,60,
4,4,12,8,8,12,4,4,8,4,4,4,8,4,4,4,12,4,4,4,8,4,6,6,6,6,6,2,2,2,2,2,2,2,4,4,4,4
,4,4,4,4,4,4,4,4,2,2,2,2,4,2,2,2,2,2,2,4,2,2,2,2,2],[9729720,31752,1800,1080,
72,264,24,168,24,288,32,1260,24,24,12,12,4,4,4,4,4,36,12,264,24,24,24,32,8,8,4
,1260,60,12,60,12,4,4,12,4,4,4,4,4,24,8,12,24,4,4,4,12,4,12,4,60,4,4,12,12,8,8
,24,4,4,4,4,12,4,6,12,4,4,4,4,4,4,4,2,2,8,4,4,6,2,2,2,2,2,2,4,6,4,4,4,2,2,2,2,
2,2,2,2,4,2,2,2,4,2,2,2,2,2],[9729720,40824,1080,1656,13608,216,552,72,216,72,
24,1512,72,264,40,1260,216,72,24,24,72,264,72,40,40,40,24,24,8,24,24,1260,36,
24,36,24,24,72,8,8,8,24,24,24,40,8,24,24,8,90,12,6,8,18,12,6,36,12,12,18,24,6,
6,4,2,4,2,24,24,8,8,8,6,18,6,6,6,6,12,12,6,6,2,8,8,8,6,6,2,4,2,4,2,4,4,2,2,8,6
,6,2,2,2,4,2,2,2,2,6,6,6,8,2,2,2,2,4,6,2,2,4,2,2,2,2],[9729720,40824,1080,1656
,13608,216,552,72,216,72,24,1512,216,24,24,1260,216,72,24,24,72,24,72,24,8,8,
16,48,48,48,24,8,8,1260,36,24,36,24,24,12,4,4,12,4,36,8,8,16,12,16,12,8,4,90,
30,4,18,12,6,36,12,12,18,24,6,6,4,2,4,2,12,8,4,4,4,4,4,6,18,6,6,6,6,12,6,18,10
,4,8,8,2,2,6,4,2,4,2,4,4,2,2,4,6,4,2,4,2,2,2,6,6,2,8,6,2,2,2,2,4,6,2,2,4,2,2,2
,2],[9729720,31752,1800,1080,72,264,24,168,24,144,48,16,1260,24,24,12,12,4,4,4
,4,4,36,12,24,24,8,8,16,8,24,16,8,8,4,1260,60,12,60,12,4,4,12,4,4,4,4,4,8,8,8,
12,8,4,4,4,24,12,4,60,4,4,12,12,8,8,8,4,4,4,4,12,4,6,8,4,4,4,4,4,4,2,2,8,4,4,6
,2,2,2,2,2,2,4,6,4,4,4,2,2,2,2,2,2,2,2,4,2,2,2,4,2,2,2,2,2],[9729720,68040,
1512,2520,7560,360,240,1080,72,168,96,32,216,24,144,120,8,30,1080,16,120,72,72
,72,216,24,8,8,8,48,48,120,24,8,8,8,8,120,8,8,8,8,24,16,10,6,2,216,72,72,8,24,
24,8,8,120,24,8,8,8,8,8,8,8,8,16,8,8,2,72,24,8,8,8,8,8,8,8,8,6,6,2,2,2],[
9729720,9072,1440,3240,72,168,24,144,96,48,48,72,16,504,40,1260,32,8,24,8,16,8
,24,24,8,24,8,16,4,48,48,60,12,8,24,8,4,8,8,4,8,12,4,8,24,8,12,4,12,8,4,4,4,8,
4,4,4,8,4,4,8,4,4,4,4,4,4,4,2,4,4,2,4,4,4,4,2,4,2,2,2],[9609600,120960,100800,
1680,480,10080,13440,1680,1440,1680,192,48,48,48,144,1440,1680,240,48,48,48,48
,240,48,48,48,48],[9609600,1920,1680,18,480,96,48,12,6,192,48,12,6,6,6,6,12,6,
6,6,6,48,6,6,6,6,6,6],[9609600,1920,1680,234,48,96,48,12,6,48,12,6,6,24,3,12,6
,12,6,6,6,6,6,24,3,6,6,3,6,3],[9609600,120960,100800,1680,216,48,10080,13440,
1680,1440,1680,48,48,6,6,36,1440,1680,240,48,48,6,6,240,48,6,48,6],[9609600,
1920,100800,1680,216,48,48,192,16,192,1680,48,48,6,6,6,16,16,48,16,48,6,6,8,16
,6,8,2],[9609600,13440,235200,8400,192,624,13440,480,48,48,8400,624,624,192,
192,192,192,192,13440,480,48,48,480,48,48,48,48,48,624,192,192,192,480,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,192,48,48,48,48,48,48,48,48],[9609600,
80640,5760,134400,3360,48,192,1920,8960,1120,1152,288,96,48,1920,96,3360,192,
192,48,48,48,48,48,384,96,1120,288,48,48,48,48,48,96,96,320,64,32,16,96,192,48
,48,48,96,16,32,96,64,16,96,48,48,48,32,16,48,32,16,48,16,16],[9609600,1280,
5760,134400,3360,48,192,64,1152,32,288,8,96,48,32,8,3360,192,192,48,48,48,48,
48,16,8,288,8,48,48,48,48,48,96,96,32,8,8,8,8,8,8,192,48,48,48,16,8,8,8,8,8,8,
8,96,48,48,48,8,8,48,8,8,48,8,8],[9609600,7040,134400,3360,48,192,144,80,1216,
16,288,96,48,128,80,8,3360,192,192,48,48,48,48,48,24,32,8,16,288,48,48,48,48,
48,96,96,80,16,16,16,8,8,4,4,4,4,8,192,48,48,48,24,8,8,8,4,4,4,8,16,4,4,96,48,
48,48,8,4,4,48,8,4,4,48,4,4],[9609600,5760,134400,3360,48,192,64,1152,288,96,
48,3360,192,192,48,48,48,48,48,288,48,48,48,48,48,96,96,192,48,48,48,16,16,16,
96,48,48,48,48,48,16],[9609600,5760,134400,3360,48,192,64,1152,288,96,48,3360,
192,192,48,48,48,48,48,288,48,48,48,48,48,96,96,192,48,48,48,16,16,16,96,48,48
,48,48,48,16],[9609600,120960,134400,3360,48,192,10080,13440,1680,2880,144,
3360,192,192,48,48,48,48,48,288,1440,1680,480,96,48,24,144,192,48,48,48,240,72
,96,24,48,24,48,48,24,24,12],[9609600,1920,134400,3360,48,192,96,48,12,48,12,
3360,192,192,48,48,48,48,48,6,6,12,48,12,12,12,12,12,12,192,48,48,48,6,6,12,12
,12,12,48,6,6,12,6],[9609600,40320,1280,134400,3360,48,192,320,4480,560,80,64,
16,960,128,80,48,8,3360,192,192,48,48,48,48,48,32,80,32,560,16,80,160,16,16,16
,32,16,8,8,8,4,4,4,4,48,8,192,48,48,48,80,16,8,8,32,16,8,4,4,16,8,8,4,4,48,16,
8,4,8,4,4],[9609600,40320,1280,134400,3360,48,192,96,4480,560,80,64,16,960,128
,80,48,8,3360,192,192,48,48,48,48,48,24,24,32,560,16,80,160,16,16,16,32,16,8,8
,8,4,4,4,4,48,8,192,48,48,48,16,8,24,8,32,16,8,4,4,16,8,8,4,4,48,4,8,4,8,4,4],
[9609600,40320,1280,134400,3360,48,192,128,4480,560,32,8,960,48,32,8,3360,192,
192,48,48,48,48,48,8,8,16,560,8,160,32,32,16,8,8,8,8,8,8,48,8,192,48,48,48,16,
4,8,4,32,8,8,8,16,8,8,8,48,4,4,4,8,8,4],[9609600,13440,134400,840,480,408,
13440,120,24,48,12,96,48,48,120,24,48,13440,120,24,120,24,48,12,12,48,12,12,12
,12,12,12,120,12,24,48,48,12,12,12,48,12,12,12,12,12,12],[9609600,13440,100800
,1680,156,13440,480,156,48,1680,48,48,48,12,480,156,48,48,48,48,48,12,48,12,12
,48,48,48,48,12,48,12,12,12,48,12,12,12,12],[9609600,40320,134400,3360,48,192,
288,4480,560,960,48,3360,192,192,48,48,48,48,48,64,16,560,160,32,16,8,48,192,
48,48,48,48,16,32,8,16,8,48,16,8,8,8],[9609600,40320,134400,3360,48,192,1120,
4480,560,960,48,3360,192,192,48,48,48,48,48,64,16,560,160,32,16,8,48,192,48,48
,48,560,16,32,8,16,8,48,32,8,8,8],[9609600,13440,4200,72,264,13440,120,24,48,
156,48,24,6,240,18,12,120,24,48,12,24,12,6,12,6,6,12,48,12,6,12,6,6,12,6,6],[
9609600,13440,134400,840,48,300,13440,12,24,12,96,48,48,12,24,6,6,13440,12,24,
12,24,12,6,12,6,6,6,6,6,12,12,12,12,24,12,6,6,6,6,12,6,6,6,6,6,6],[9609600,
13440,100800,1680,216,48,13440,480,48,48,1680,48,48,6,6,54,480,48,48,48,48,48,
48,6,6,6,48,48,48,6,48,6,48,6,6,6],[9609600,4480,1280,100800,1680,156,32,80,4,
160,128,80,52,16,8,1680,48,48,48,12,32,8,8,8,4,80,8,8,4,16,16,16,16,8,4,48,12,
12,8,8,8,8,4,16,4,8,4,4,12,8,4,4,4,4],[9609600,4480,3840,100800,1680,156,128,
640,48,40,160,52,16,48,1680,48,48,48,12,8,32,8,20,32,16,48,16,16,16,16,16,16,8
,4,48,12,12,16,8,8,8,8,4,16,16,4,8,4,8,12,8,4,4,8,4,4],[9609600,4480,1920,1920
,100800,1680,156,128,320,120,96,24,60,20,160,120,52,16,24,1680,48,48,48,12,8,
32,8,20,24,16,48,8,120,24,24,24,8,8,16,16,16,16,12,4,4,48,12,12,16,8,8,8,8,4,
16,24,8,4,12,4,4,12,4,12,8,4,4,12,4,4,4],[9609600,4480,3840,100800,1680,156,96
,576,96,16,160,52,16,12,1680,48,48,48,12,12,32,16,16,96,16,16,4,16,16,16,16,4,
48,12,12,16,16,16,4,16,16,4,4,4,12,16,4,4,4,4],[9609600,4480,100800,1680,156,
32,160,52,16,1680,48,48,48,12,8,4,32,8,8,16,16,16,16,4,48,12,12,8,8,8,4,8,16,4
,4,12,8,4,4,4],[9609600,4480,100800,1680,156,96,160,52,16,1680,48,48,48,12,32,
16,16,12,16,16,16,16,4,48,12,12,4,16,16,16,16,4,4,12,16,4,4,4],[9609600,13440,
4200,288,156,13440,12,24,156,48,24,6,6,3,240,72,12,12,24,12,6,24,6,6,3,12,6,6,
12,6,12,6,3,6,3,6,6,6,3,3],[9609600,1920,2560,100800,1680,156,64,320,40,288,24
,48,20,10,64,40,24,10,1680,48,48,48,12,16,8,8,6,16,48,8,8,8,40,24,4,4,8,8,4,4,
4,48,12,12,8,4,4,4,4,8,8,4,2,4,4,2,12,4,2,4,2,2,2],[9609600,4480,100800,1680,
156,144,160,384,60,48,10,64,160,10,1680,48,48,48,12,24,16,6,24,48,48,8,8,160,
24,24,4,4,4,4,12,48,12,12,24,4,4,4,4,24,8,12,2,4,12,2,12,4,2,12,2,2,2],[
9609600,4480,33600,840,120,192,144,120,192,40,24,20,16,64,40,16,48,12,24,12,12
,30,6,12,12,16,8,24,16,4,4,4,2,2,4,4,6,4,4,6,4,8,4,4,3,12,12,3,3,3,2,4,2,2,2,4
,4,4,3,1,4,1,1,1,1,2,1,6,3,3,3,3,2,1,2,1,1,3,1,1,1],[9266400,3360,7560,480,72,
240,360,24,120,360,240,12,12,120,12,24,12,360,120,24,60,6],[9266400,95040,1440
,7560,90720,2520,240,480,72,2520,72,2520,24,72,360,240,24,2520,72,24,24,24,
2520,540,24,8,24,360,2520,180,24,4,24,12,8,24,4,180,4],[9266400,4320,1440,1440
,7560,480,96,32,240,16,360,72,72,360,32,240,16,16,16,120,24,8,16,360,120,8,8,8
,8,60,4],[9266400,38880,1440,3360,129600,12960,1080,288,96,216,360,72,2880,288
,192,45,96,72,360,72,24,24,24,12960,48,21,9,9,24,9,360,72,96,3,9,9,9,3,3,3,9,3
,3,24,9,3,3,3,3,3,3,3,3,3,3,3,3,3],[9266400,38880,3360,1440,1080,38880,360,288
,288,72,360,72,360,72,24,45,288,24,360,72,24,24,24,360,24,9,21,9,24,9,360,24,
24,9,3,3,9,9,3,3,9,3,3,24,3,9,3,3,3,3,3,3,3,3,3,3,3,3],[9266400,12960,1440,480
,32400,240,96,48,720,240,48,360,240,48,48,24,48,24,24,48,18,24,24,24,6,24,30,6
,3,3],[9266400,4320,480,480,7560,240,32,16,120,72,24,360,240,16,16,60,8,8,16,
360,60,4,4,8,4,30,2,30,2],[9266400,21600,1440,1440,1890,12960,360,160,96,72,
120,24,90,90,18,45,96,24,120,24,8,8,8,54,18,18,10,6,6,6,9,9,5,8,45,6,6,6,6,2,2
,2,3,3,3,5,3,1,1,9,9,5,2,3,3,1,1,1,1,1,3,3,1,3,3,5,1,1,3,3,1,1,1,1,1,1],[
8648640,181440,604800,5040,181440,5040,5040,40320,40320,5040,5040,5040,40320,
181440,5040,5040,5040,5040,5040,40320,5040,5040],[8648640,2880,432,48,480,60,
144,24,144,12,12,144,12,48,12,12],[8648640,2880,5040,108,480,64,32,60,48,12,16
,36,12,120,4,4,8,4,4,12,4,4],[8648640,2880,5040,108,480,64,32,60,48,12,16,36,
12,120,4,4,8,4,4,12,4,4],[8648640,2880,432,48,32,60,24,8,108,12,12,12,4,4,4,4]
,[8648640,2880,432,48,32,60,24,8,108,12,12,12,4,4,4,4],[8648640,181440,332640,
5040,60480,15120,5040,6720,33600,5040,2160,5040,5040,6720,60480,720,720,2160,
720,120,5040,240,720,5040,720,720,120,720,240,6720,120,720,720,120,120],[
8648640,60480,1920,30240,2520,216,1680,480,5040,6720,840,360,96,72,720,120,240
,72,6720,1680,48,48,120,48,720,120,72,24,24,720,240,48,48,120,48,24,840,120,48
,120,24,24],[8648640,60480,1920,302400,252,216,60480,144,144,6720,6720,120,288
,72,192,36,144,72,6720,60480,36,36,36,48,36,12,72,12,12,48,144,36,36,12,36,12,
6720,12,36,48,12,12],[8648640,60480,1920,30240,2520,216,1680,192,144,6720,840,
320,72,24,720,24,48,72,6720,1680,48,48,48,24,16,120,24,24,8,48,48,16,16,120,48
,8,840,8,16,24,24,8],[8648640,60480,1920,332640,5040,60480,144,144,6720,6720,
384,48,720,192,144,5040,6720,60480,720,720,48,16,16,120,48,120,24,48,144,16,16
,120,720,8,6720,8,16,48,120,8],[8648640,60480,1920,2772,108,1680,192,144,6720,
840,96,36,36,24,48,36,6720,1680,12,12,12,24,36,12,36,6,6,48,48,12,12,12,12,6,
840,12,12,24,6,6],[8648640,60480,1920,302400,252,216,60480,144,144,6720,6720,
288,8,12,192,36,144,72,6720,60480,36,36,48,4,4,12,4,12,8,48,144,4,4,12,36,4,
6720,4,4,48,12,4],[8648640,1920,960,30240,2520,216,160,32,32,10,320,72,8,24,96
,24,16,72,2,40,4,16,16,4,16,10,24,8,8,2,8,4,8,2,4,4,2,2,4,2,2,2],[8648640,2880
,30240,108,108,80,32,10,96,12,6,12,96,6,8,27,2,2,2,8,8,2,16,10,3,3,3,2,2,2,4,2
,2,1,1,2,2,1,1,1],[8648640,72576,2880,332640,5040,60480,480,960,6720,7392,432,
48,2160,480,5040,6720,96,96,60480,720,720,144,48,120,48,240,96,480,48,120,12,
12,720,24,6720,12,48,96,120,12],[8648640,60480,2880,192,302400,252,216,60480,
192,192,6720,6720,960,12,36,24,192,36,192,72,6720,192,192,60480,36,36,192,12,
12,12,24,12,12,192,192,12,12,12,12,36,12,6720,12,12,192,12,12],[8648640,72576,
2880,30240,2520,216,1680,960,144,6720,672,840,144,24,12,720,72,48,72,6720,96,
96,1680,48,48,48,16,24,120,4,24,12,96,48,8,120,12,12,48,4,840,12,8,24,24,4],[
8648640,72576,2880,302400,252,216,60480,480,960,6720,6720,84,288,12,12,1440,36
,480,72,6720,96,96,60480,36,36,96,12,12,12,4,24,12,96,480,12,12,4,4,36,4,6720,
4,12,96,12,4],[8648640,72576,2880,2772,108,1680,960,144,6720,924,36,12,108,48,
36,6720,96,96,1680,12,12,36,4,12,4,12,96,48,4,12,4,4,12,4,840,4,4,24,6,2],[
8648640,3072,960,30240,2520,216,160,64,10,512,72,8,24,96,24,32,72,10,2,2,40,4,
16,32,4,10,24,8,8,2,8,16,2,10,2,4,4,2,2,4,2,2,2],[8648640,100800,332640,5040,
60480,5040,1680,6720,13440,1680,48,1680,5040,6720,60480,720,720,144,480,48,120
,240,48,240,1680,48,120,720,24,6720,12,48,240,120,12],[8648640,100800,302400,
252,216,60480,5040,1680,6720,13440,480,72,60,1680,72,6720,60480,36,36,36,480,
12,12,24,24,240,1680,12,12,36,24,6720,12,12,240,12,12],[8648640,60480,640,
30240,2520,216,1680,160,1680,6720,840,120,720,64,40,4,80,72,6720,1680,48,48,16
,40,48,120,24,12,4,240,80,8,120,48,4,840,12,8,40,24,4],[8648640,60480,640,
302400,252,216,60480,48,48,6720,6720,96,64,40,36,4,48,72,6720,60480,36,36,12,
16,12,12,24,12,4,16,48,12,12,36,4,6720,4,12,16,12,4],[8648640,60480,640,2772,
108,1680,64,48,6720,840,24,36,16,4,16,36,6720,1680,12,12,4,8,12,12,6,6,4,16,16
,4,12,12,2,840,4,4,8,6,2],[8648640,40320,960,30240,2520,216,160,320,160,10,840
,8,480,96,72,24,80,72,2,40,4,16,32,8,16,10,24,8,24,2,40,8,2,4,8,2,2,4,2,2,2],[
8648640,64512,960,30240,2520,216,1680,320,48,6720,840,8,768,96,72,24,16,72,
6720,32,32,1680,48,48,48,32,8,120,24,8,24,32,16,16,16,120,8,8,48,8,840,8,16,8,
24,8],[8648640,64512,960,332640,5040,60480,160,320,6720,6720,96,1248,96,48,160
,5040,6720,32,32,60480,720,720,32,16,32,120,120,24,48,32,160,16,16,120,8,8,720
,8,6720,8,16,32,120,8],[8648640,60480,960,64,302400,252,216,60480,64,64,6720,
6720,320,64,4,36,12,4,64,72,6720,64,64,60480,36,36,4,4,64,12,12,8,4,64,64,4,4,
12,4,4,36,4,6720,4,4,64,12,4],[8648640,56448,2880,60480,504,960,64,1120,4032,
504,288,24,480,24,64,504,1120,48,48,96,24,40,4,504,24,24,16,48,40,4,12,4,12,4,
8,24,16,4,12,4,8,4,4,4,4,4,4],[8648640,60480,1920,60480,504,3024,192,144,1120,
5376,504,24,288,24,48,504,64,80,288,24,40,4,504,24,24,24,16,8,4,4,16,4,8,24,24
,24,8,4,4,8,8,4,4,4,4,4,4,4],[8648640,36288,2304,60480,504,96,144,144,1120,
4032,504,24,96,192,24,16,504,32,64,48,24,48,40,4,504,24,24,16,8,8,8,4,4,12,4,4
,24,24,24,8,4,4,4,8,4,4,4,4,4,4,4],[8648640,84672,151200,2016,12096,3024,1008,
1120,12096,2016,144,1008,2016,112,12096,144,144,144,144,100,16,2016,16,24,8,
1008,144,144,36,16,4,144,8,16,16,4,4,4,4,144,16,8,4,4,4,4],[8648640,60480,384,
60480,504,3024,96,1008,1120,5376,504,24,288,24,48,504,64,80,288,24,40,4,504,24
,24,24,16,8,4,16,4,8,4,504,24,24,8,4,8,4,24,4,4,4,4,4,4,4],[8648640,36288,1920
,1920,60480,504,192,144,1008,1120,4032,504,96,24,192,24,48,504,64,32,48,48,24,
40,4,504,24,24,16,8,8,8,4,4,4,12,4,504,24,24,8,4,4,4,24,4,4,4,4,4,4,4],[
8648640,56448,2880,60480,504,960,3360,1120,4032,504,288,24,480,24,480,504,1120
,48,48,96,24,480,96,40,4,504,24,24,240,48,96,40,4,12,4,12,4,24,24,48,4,40,12,
12,4,24,4,4,4,12,4,4,4],[8648640,56448,2880,60480,504,960,96,1120,4032,504,288
,24,480,24,48,504,1120,48,48,96,24,24,24,40,4,504,24,24,16,48,24,40,4,12,4,12,
4,24,24,8,4,4,4,12,4,24,4,4,4,4,4,4,4],[8648640,32256,960,151200,2016,12096,
160,320,1120,1344,96,96,160,2016,1120,16,16,12096,144,144,32,16,100,16,96,16,
16,16,160,16,16,100,16,4,4,144,16,16,16,4,4,4,4,16,16,16,4,4,4,4],[8648640,
12096,5760,151200,2016,12096,144,144,1120,864,96,144,144,2016,96,16,12096,144,
144,16,16,100,16,96,16,8,8,144,16,16,36,16,4,144,8,16,16,4,4,4,4,16,16,8,4,4,4
,4],[8648640,56448,2880,60480,504,960,560,144,1120,4032,504,288,24,480,24,48,
504,1120,48,48,96,24,32,8,32,8,40,4,504,24,24,40,24,48,16,8,40,4,12,4,12,4,24,
8,8,8,4,8,4,4,4,12,4,8,4,4,4,4,4,4,4,4,4],[8648640,56448,1920,3264,60480,504,
96,960,128,192,64,1120,4032,504,24,288,24,24,480,24,24,24,32,504,1120,64,48,64
,48,8,24,96,8,24,8,8,24,40,4,504,24,24,24,24,16,64,48,16,16,8,40,4,4,4,12,4,4,
12,4,4,24,24,8,24,8,16,4,12,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4],[8648640,
80640,4800,60480,504,3024,1600,432,1120,5376,504,384,24,768,192,24,144,504,
1120,80,80,64,288,128,96,32,24,40,4,504,24,24,24,24,24,80,24,32,40,4,8,16,4,16
,4,8,24,24,8,24,8,24,4,16,8,4,8,8,8,8,4,4,4,4,4,8,4,4,4,4,4,4],[8648640,56448,
2880,60480,504,960,1008,144,1120,4032,504,288,24,480,24,48,504,1120,48,48,96,
24,40,4,504,24,24,48,8,8,40,4,12,4,12,4,504,24,24,8,4,12,4,24,4,4,4,4,4,4,4],[
8648640,32256,960,60480,504,320,1680,144,1120,672,48,624,96,24,48,504,1120,16,
16,32,16,240,32,8,48,40,4,12,12,24,120,24,16,8,16,40,4,4,2,2,4,4,12,8,8,4,20,8
,4,6,2,4,4,4,2,2,2,4,4,2,2,2],[8648640,20160,960,192,60480,504,64,192,1120,12,
12,480,12,24,12,16,504,1120,32,32,4,4,12,32,8,12,40,4,12,12,24,32,32,4,4,40,4,
2,2,2,2,4,12,8,8,4,2,8,4,2,2,2,4,4,2,2,2,2,4,2,2,2],[8648640,32256,960,60480,
504,320,2240,1120,672,48,624,96,24,160,504,1120,16,16,32,16,240,80,8,40,4,12,
12,24,160,16,16,16,40,4,4,2,2,4,4,12,8,16,4,20,10,4,2,4,4,4,2,2,2,4,4,2,2,2],[
8648640,20160,960,192,60480,504,64,560,48,1120,12,12,480,12,24,12,16,504,1120,
32,32,4,4,12,32,8,12,40,4,12,12,24,40,8,32,4,4,40,4,2,2,2,2,4,12,8,8,4,2,4,4,2
,2,2,4,4,2,2,2,2,4,2,2,2],[8236800,34560,57600,2160,144,288,3840,480,144,40,
480,96,48,72,24,8,480,48,24,40,4,4,4,4,24,8,4,4,24,4,4,4,4,4,4,4,4,4,4],[
8236800,1280,57600,2160,144,288,16,32,8,40,480,96,48,72,24,8,16,4,4,8,40,4,4,4
,4,24,8,2,2,2,4,4,4,4,4,4,2,2,2,2,4,2],[8236800,1280,57600,2160,144,288,64,128
,80,8,40,480,96,48,72,24,8,16,16,4,8,40,4,4,4,4,24,8,2,2,2,4,4,4,4,4,4,2,2,2,2
,4,2],[8108100,34020,3780,2340,3780,34020,1080,540,540,108,468,468,108,432,216
,180,36,180,108,108,630,540,468,108,108,540,108,108,216,108,108,126,216,108,
108,108,126,180,90,36,36,36,36,18,18,18,18,18,90,36,36,18,18,18,540,90,108,36,
36,540,126,216,108,108,108,108,108,108,108,108,126,90,18,18,18,90,18,18,18,18,
18,36,18,18,18,18,36,18,18,18,18,36,18,18,18,18,36,18,18,18,90,18,36,18,36,126
,108,108,108,90,18,18,18,18,18,18,18,18,36,18,18,18,18,18,18,18,18,18,18,18,36
,90,18,18,108,18,18,18,18,18,18,90,18,18,18,18,18,18,18,18],[8108100,79380,
1620,3780,3780,34020,3780,540,900,1380,180,468,324,132,108,324,108,108,1260,
108,60,12,1260,36,108,900,180,324,36,132,132,36,540,108,108,108,108,108,36,180
,108,108,108,108,108,108,1260,60,108,36,36,36,36,12,60,36,12,12,12,12,12,12,60
,60,12,12,12,12,36,36,36,12,12,12,540,90,108,36,36,540,108,108,108,108,108,108
,36,132,36,36,108,108,108,60,60,12,12,12,12,12,12,12,60,60,36,36,36,12,12,12,
12,12,12,12,12,12,12,12,12,12,36,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
36,12,12,12,12,12,12,12,180,30,12,6,36,18,36,108,36,108,108,60,12,12,12,12,12,
12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,18,36,90,6,12,6,12,108,12,12,12,12,12,12,12,12,12,12,30,6,12,6,18,12,18,
6,6,6],[8108100,34020,3780,2340,81,34020,1080,540,540,108,468,468,108,432,216,
180,36,27,3,9,630,540,468,108,108,540,108,108,216,108,108,126,216,108,108,108,
126,180,90,36,36,36,36,18,18,18,18,18,90,36,36,18,18,18,3,3,3,9,3,540,126,216,
108,108,108,108,108,108,108,108,126,90,18,18,18,90,18,18,18,18,18,36,18,18,18,
18,36,18,18,18,18,36,18,18,18,18,36,18,18,18,3,3,3,3,3,3,3,3,3,126,108,108,108
,90,18,18,18,18,18,18,18,18,36,18,18,18,18,18,18,18,18,18,18,3,3,3,3,3,3,3,3,3
,108,18,18,18,18,18,18,3,3,3,3,18,3,3,3,3],[8108100,34020,2340,1860,113400,
11340,1260,420,300,420,36,228,300,60,252,108,36,132,60,12,1080,312,420,180,60,
156,12,12,36,12,60,36,36,108,36,36,12,36,36,84,84,60,12,36,36,84,60,60,12,12,
12,12,12,12,12,12,12,60,12,12,12,60,60,12,12,12,12,12,12,12,12,11340,144,168,
24,48,24,84,36,84,36,24,12,12,12,12,12,24,12,84,60,60,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,60,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,180,156,168,24,24,
24,24,24,24,24,84,12,12,60,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,84,12,24,12,24,
24,24,12,12,12,12,12,12,12,84,12,12,12,24,12,12,12,12,12,12,12,12,12],[8108100
,34020,2340,1860,3780,11340,1260,420,300,420,36,228,300,60,252,108,36,132,60,
12,60,108,36,420,180,60,156,12,12,36,12,60,36,36,108,36,36,12,36,36,84,84,60,
12,36,36,84,60,60,12,12,12,12,12,12,12,12,12,60,12,12,12,60,60,12,12,12,12,12,
12,12,12,1260,60,108,12,12,84,36,84,36,24,12,12,12,12,12,24,12,84,60,60,12,12,
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,
12,12,60,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
60,60,36,36,12,12,12,60,84,12,12,60,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,
12,12,12,12,12,12,12,12,12,12,12,60,12,12,12,12,12,12],[8108100,34020,2340,
1860,113400,34020,720,540,540,108,372,372,108,216,144,60,12,1080,312,210,540,
372,108,108,540,108,108,144,108,108,42,144,108,108,108,42,60,30,12,12,12,12,6,
6,6,6,6,30,12,12,6,6,6,11340,1080,144,72,72,24,540,42,144,108,108,108,108,108,
108,108,108,42,30,6,6,6,30,6,6,6,6,6,12,6,6,6,6,12,6,6,6,6,12,6,6,6,6,12,6,6,6
,180,156,84,72,72,24,12,12,42,108,108,108,30,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,
6,6,6,180,72,36,36,72,12,12,12,108,6,6,6,6,6,6,42,36,36,6,12,12,6,6,36,6,6,6],
[8108100,49140,1620,2340,113400,34020,1260,540,660,820,132,372,324,116,108,108
,36,108,420,36,20,4,1800,216,660,60,324,12,116,116,12,540,108,108,108,108,36,
12,132,36,108,108,108,108,36,420,20,36,12,12,12,12,4,20,12,4,4,4,4,4,4,20,20,4
,4,4,4,12,12,12,4,4,4,11340,1080,144,72,88,72,48,8,540,36,108,108,108,108,108,
12,116,12,12,108,108,108,20,20,4,4,4,4,4,4,4,20,20,12,12,12,4,4,4,4,4,4,4,4,4,
4,4,4,4,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,300,108,24,72,72,48
,8,8,8,8,108,12,108,108,20,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,180,36,36,44,36,72,12,4,8,8,8,8,108,4,4,4,4,4,4,4,4,4,4,12,36,
36,4,4,8,12,4,4,4,36,4,4,4,4,4],[8108100,34020,2340,1860,648,11340,1260,420,
300,420,36,228,300,60,252,108,36,132,60,12,12,420,180,60,156,12,12,36,12,60,36
,36,108,36,36,12,36,36,84,84,60,12,36,36,84,60,60,12,12,12,12,12,12,12,12,12,
60,12,12,12,60,60,12,12,12,12,12,12,12,12,72,54,18,12,18,84,36,84,36,24,12,12,
12,12,12,24,12,84,60,60,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,60,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,6,6,12,6,12,6,6,84,12,12,60,12,12,12,12,12,12
,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
,12,12,12,12,12,18,6,12,12,12,12,12,12,12,12,6,6,6,6,6,6,6,6,12,6],[8108100,
79380,1620,3780,113400,34020,3780,540,900,1380,180,468,324,132,108,324,108,108
,1260,108,60,12,5040,216,1080,216,900,180,324,36,132,132,36,540,108,108,108,
108,108,36,180,108,108,108,108,108,108,1260,60,108,36,36,36,36,12,60,36,12,12,
12,12,12,12,60,60,12,12,12,12,36,36,36,12,12,12,11340,1080,72,72,72,180,72,72,
36,12,12,180,12,540,108,108,108,108,108,108,36,132,36,36,108,108,108,60,60,12,
12,12,12,12,12,12,60,60,36,36,36,12,12,12,12,12,12,12,12,12,12,12,12,12,36,36,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,630,54,180,
12,12,12,12,180,108,72,72,72,12,12,12,12,12,108,36,108,108,60,12,12,12,12,12,
12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,180,36,36,36,72,30,18,6,18,18,6,30,6,12,12,12,12,12,12,108,12,12,12,12,
12,12,12,12,12,12,36,36,30,6,6,6,6,18,6,6,6,12,6,6,12,36,6,6,6,6,6,6,6],[
8108100,83160,3180,3780,68040,3150,780,900,1260,138,54,1890,54,300,1260,360,12
,120,36,420,900,300,540,66,54,1890,180,54,30,30,300,180,18,6,60,60,180,180,18,
30,6,1260,60,12,120,36,12,12,540,30,54,60,60,180,6,6,6,60,180,180,6,18,18,18,
18,30,18,60,18,18,6,6,6,6,6,1260,120,60,60,12,120,60,12,12,60,60,180,60,6,6,60
,60,6,18,18,6,6,6,6,6,6,6,12,120,12,12,12,60,6,60,6,6,6,6,6,6,60,12,6,60,6,6,6
],[8108100,37800,720,3180,3780,3150,420,300,300,48,144,24,40,138,54,8,630,90,
60,16,180,36,24,120,36,420,300,16,12,12,60,36,30,8,4,18,90,12,48,60,18,6,10,60
,8,12,6,8,2,60,60,60,4,6,18,12,12,8,6,1260,60,12,12,12,8,4,30,6,4,6,6,4,4,2,4,
4,60,60,6,6,6,4,2,2,2,18,12,6,6,4,8,60,2,6,6,2,6,6,6,60,24,12,4,4,120,60,12,4,
60,60,6,4,4,2,6,4,4,2,6,6,6,2,2,2,6,6,12,8,4,4,12,4,6,6,4,6,2,2,2,2,60,4,2,4,6
,6,2],[8108100,37800,720,3180,162,3150,420,300,300,48,144,24,40,138,54,8,630,
90,60,16,18,6,6,54,6,420,300,16,12,12,60,36,30,8,4,18,90,12,48,60,18,6,10,60,8
,12,6,8,2,60,60,60,4,6,18,12,12,8,6,18,3,6,6,2,6,2,30,6,4,6,6,4,4,2,4,4,60,60,
6,6,6,4,2,2,2,18,12,6,6,4,8,60,2,6,6,2,6,6,6,6,2,2,1,1,6,6,3,2,3,60,6,4,4,2,6,
4,4,2,6,6,6,2,2,2,6,6,6,2,2,2,2,1,1,6,4,6,2,2,2,2,3,2,2,1,3,1,1],[8108100,
94500,2340,2820,28350,12600,420,120,2100,180,324,144,48,480,84,144,60,12,3150,
390,90,450,102,420,2100,24,60,180,180,180,480,84,84,12,12,12,48,60,72,60,12,12
,24,12,12,12,12,60,12,60,60,12,12,12,12,24,24,12,12,90,42,30,30,12,450,102,30,
30,90,36,12,30,30,42,12,6,36,6,480,84,180,180,12,24,24,12,12,60,60,24,12,12,12
,12,12,12,12,12,24,12,12,12,12,12,12,60,12,12,12,12,12,12,12,12,12,12,12,6,6,6
,6,6,42,30,30,6,12,90,30,30,30,30,30,42,42,6,6,6,30,30,12,6,6,6,12,6,6,6,6,36,
6,6,6,6,6,6,6,6,6,6,6,180,60,12,12,12,24,12,12,12,24,12,12,12,12,12,12,12,30,
42,30,30,30,30,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,24,12,12,12,12,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6
,6,6,6,6,6,6],[8108100,49140,3060,2820,28350,22680,1260,540,440,820,132,468,
312,104,108,108,420,36,140,28,630,510,90,450,102,420,360,60,216,72,88,220,36,
12,132,36,84,108,44,44,44,420,20,36,12,12,140,12,12,4,100,28,28,20,20,20,60,12
,60,20,100,12,12,28,12,12,4,20,20,270,36,54,22,26,102,66,22,30,18,78,26,12,54,
4,14,12,14,180,84,12,72,36,44,36,20,20,60,4,4,4,4,4,12,12,60,20,100,12,12,12,
12,20,12,12,4,4,4,4,4,20,28,20,20,20,20,60,12,12,12,12,12,12,4,20,12,4,2,4,2,
10,10,14,42,6,18,22,18,54,18,18,26,12,22,6,42,54,22,22,22,6,12,14,2,10,4,14,6,
2,10,4,14,10,2,6,6,10,2,6,2,10,6,36,60,12,12,12,60,20,12,12,12,4,4,4,4,4,20,20
,4,4,4,4,4,12,4,20,4,4,12,12,18,42,6,18,18,22,18,6,4,2,2,14,10,10,2,6,10,2,2,6
,6,6,10,10,2,2,6,2,10,2,2,6,6,2,10,6,2,10,2,2,2,6,6,6,6,6,6,6,20,4,4,4,4,4,12,
12,4,4,4,18,6,6,2,6,2,2,2,2,2,6,6,6,2,2,6,2,2,6,2,2,6,2,10,6,2,2,2,6,4,2,6,2,6
,2,2,2,2,2,2,2,2],[8108100,34020,2340,1860,3780,34020,720,540,540,108,372,372,
108,216,144,60,12,60,108,36,210,540,372,108,108,540,108,108,144,108,108,42,144
,108,108,108,42,60,30,12,12,12,12,6,6,6,6,6,30,12,12,6,6,6,540,90,108,12,12,
540,42,144,108,108,108,108,108,108,108,108,42,30,6,6,6,30,6,6,6,6,6,12,6,6,6,6
,12,6,6,6,6,12,6,6,6,6,12,6,6,6,30,36,6,18,12,42,108,108,108,30,6,6,6,6,6,6,6,
6,12,6,6,6,6,6,6,6,6,6,6,18,36,6,6,90,108,6,6,6,6,6,6,6,30,6,18,6,18,6,6,6],[
8108100,56700,780,1620,3780,6300,420,120,900,60,108,48,16,180,28,72,60,4,180,
108,12,420,900,8,60,60,60,60,180,28,28,4,4,4,24,60,24,60,4,4,12,4,4,4,4,60,4,
60,60,4,4,4,4,12,8,4,4,1260,60,36,36,12,180,28,60,60,4,12,12,4,4,60,60,12,4,4,
4,4,4,4,4,4,8,4,4,4,4,4,4,60,4,4,4,4,4,4,4,4,4,180,60,12,36,4,4,12,60,60,60,4,
4,4,12,4,4,4,12,4,4,4,4,4,4,4,12,12,36,4,4,12,4,4,4,4,60,12,4,12,4,4],[8108100
,71820,1500,2580,3780,68040,1260,780,720,900,108,316,216,72,36,52,1260,36,300,
20,1260,180,36,12,60,36,12,420,720,60,216,72,72,540,12,4,108,12,28,52,36,36,36
,1260,60,36,12,12,300,12,12,4,180,20,20,12,12,12,60,4,60,60,180,4,4,20,12,12,4
,12,12,1260,60,4,60,12,12,4,4,12,540,28,4,72,36,36,36,60,60,180,4,4,4,4,4,12,
12,60,60,180,4,4,4,4,12,12,12,4,4,4,4,4,12,20,12,12,12,12,60,4,4,4,4,4,4,4,12,
4,1260,60,60,60,12,12,4,4,60,60,12,12,4,4,4,60,36,60,4,4,4,180,60,12,12,12,4,4
,4,4,4,60,60,4,4,4,4,4,4,4,12,4,4,12,4,4,4,60,12,4,4,4,12,60,4,4,4,4,4,4,60,4,
4,4,4,4,4,12,4,4,4,60,4,4,4,60,4,4,4],[8108100,26460,2220,2580,3780,1260,780,
360,180,108,172,144,96,72,36,100,72,60,36,72,24,60,36,12,420,60,48,24,180,48,
48,24,48,12,4,12,12,28,52,12,60,36,24,60,24,60,16,16,4,20,12,20,4,4,4,8,8,60,4
,60,60,4,4,4,4,12,8,16,20,4,8,1260,60,4,12,4,8,12,28,36,12,24,4,12,24,8,8,4,4,
8,8,12,60,60,12,4,4,4,4,4,4,4,4,8,8,4,4,4,20,4,4,8,8,8,8,8,60,4,4,4,4,4,4,4,8,
4,4,24,24,8,8,60,60,12,12,4,4,4,60,12,60,4,4,4,8,8,4,4,4,12,4,4,4,8,8,4,4,4,4,
8,4,4,4,4,4,4,4,4,4,4,8,12,4,4,8,4,4,4,4,4,8,4,4,4,4,4,4,4,4,60,4,4,4,8,4,4],[
8108100,34020,900,4260,113400,11340,1260,60,460,420,132,132,108,44,36,252,108,
28,1260,108,140,12,288,1080,120,180,60,60,36,28,20,20,20,12,12,20,12,36,28,36,
36,12,20,4,12,60,120,72,48,24,24,16,20,24,36,4,20,4,8,12,12,12,140,60,12,12,12
,4,12,12,12,12,4,4,11340,144,24,24,16,48,16,8,360,8,8,36,12,12,8,4,12,12,20,12
,8,4,60,12,12,12,4,8,4,4,4,8,4,4,20,36,12,12,4,4,20,12,4,4,8,4,4,4,4,12,12,4,
12,12,8,8,4,4,8,12,12,4,4,12,4,4,12,4,4,4,4,12,4,4,12,12,4,4,72,48,16,8,8,180,
60,24,8,8,8,8,8,8,12,4,12,8,4,4,4,8,4,4,4,12,4,4,12,4,4,4,4,12,4,4,4,4,12,12,
12,4,4,4,4,4,4,4,4,4,4,4,4,36,12,12,8,8,12,4,60,4,4,8,8,8,8,8,12,4,4,4,4,4,4,4
,4,4,4,12,4,12,8,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4],[8108100,56700,780,1620,324,
6300,180,120,900,92,108,48,32,24,180,28,72,60,4,12,900,16,8,60,16,16,8,16,60,
60,60,180,12,4,20,12,24,24,60,12,4,4,4,4,60,4,4,4,4,12,8,36,12,20,180,12,4,8,
60,60,4,8,12,12,8,8,4,4,4,4,60,12,4,4,4,4,4,4,4,4,8,4,4,4,4,12,12,4,4,4,60,4,
12,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,12,4,4,4,4,4],[8108100,
26460,780,1140,3780,1260,420,120,180,12,76,48,16,36,28,420,12,60,20,60,36,12,
420,60,8,60,12,4,12,12,28,28,4,4,4,60,60,4,4,4,4,4,60,4,60,60,60,20,4,4,12,4,4
,8,8,4,4,1260,60,4,12,12,28,4,4,8,4,4,60,60,4,4,4,4,4,4,4,4,4,4,4,60,4,4,4,4,4
,12,8,4,4,4,4,4,60,60,12,12,4,4,60,4,60,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4
,4,60,4,4,4,4],[8108100,34020,900,1380,113400,11340,1260,60,220,420,36,132,108
,28,36,108,36,28,144,20,36,1080,120,180,60,60,12,12,20,12,20,12,12,20,12,36,12
,36,36,12,20,4,12,36,20,4,4,4,4,4,20,36,4,4,8,24,16,20,20,11340,144,24,24,16,
32,8,36,12,12,8,4,12,12,12,12,8,4,24,8,16,8,8,8,20,4,4,4,4,4,4,4,4,4,4,4,4,4,4
,4,20,4,4,8,180,60,24,8,8,16,8,12,4,12,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,36,12,
12,8,16,4,16,8,4,4,4,4,8,12,4,4,4,8,8,4,4,8,4],[8108100,34020,900,1380,113400,
11340,1260,60,220,420,36,132,108,28,36,108,36,28,20,4,1080,120,180,60,60,12,12
,20,12,20,12,12,20,12,36,12,36,36,12,20,4,12,36,20,4,4,4,4,4,20,4,4,4,4,4,12,4
,11340,144,24,24,16,8,36,12,12,8,4,12,12,12,12,8,4,20,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,12,4,4,4,4,4,180,60,24,8,8,8,8,12,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4
,4,4,36,12,12,8,4,8,8,4,4,4,4,4,12,4,4,4,8,4,4,4,4,4],[8108100,26460,780,1140,
3780,1260,420,120,180,12,76,48,16,36,28,72,180,12,60,36,12,420,60,8,60,12,4,12
,12,28,28,4,4,4,60,60,4,4,4,4,4,60,4,180,60,12,12,12,4,12,8,4,4,4,1260,60,4,36
,4,28,4,4,12,8,4,4,60,60,4,4,4,4,4,4,4,4,4,4,4,60,4,4,4,4,4,12,4,4,4,12,4,4,4,
4,60,60,12,12,4,4,60,4,60,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,
4,4,60,4,4,4,4,4],[8108100,34020,900,1380,113400,11340,1260,60,220,420,36,132,
108,28,36,108,36,28,100,20,1080,120,180,60,60,12,12,20,12,20,12,12,20,12,36,12
,36,36,12,20,4,12,36,20,4,4,4,4,4,20,40,4,4,20,20,4,8,8,8,11340,144,24,24,16,
40,36,12,12,8,4,12,12,12,12,8,4,20,4,4,4,20,4,4,4,4,4,4,4,4,4,4,4,4,4,4,20,4,4
,4,8,8,8,180,60,24,8,8,8,16,12,4,20,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,36,12,12,8,
20,8,8,4,4,4,4,4,12,4,4,8,4,8,4,4,4,4],[8108100,18900,1620,900,113400,11340,
240,100,140,12,132,156,20,144,64,420,36,60,12,360,216,210,60,108,4,12,20,12,12
,56,12,12,42,48,20,4,12,42,20,10,4,4,4,4,2,2,2,2,2,20,30,12,4,12,12,12,4,12,6,
6,6,11340,96,8,16,48,24,42,48,12,8,4,4,8,4,42,20,10,4,4,4,2,2,2,10,2,2,2,2,2,4
,2,2,2,2,4,2,2,2,2,4,2,2,2,2,12,12,4,4,4,6,6,6,60,108,84,8,8,4,8,12,42,4,10,2,
2,2,2,2,6,4,4,2,2,2,2,2,2,2,4,4,4,2,2,2,48,4,8,12,12,4,8,4,2,4,2,2,2,2,2,42,4,
6,4,4,2,4,2,2,4,2,2],[8108100,124740,900,2820,113400,11340,16380,60,220,2580,
180,228,108,28,36,540,36,28,1260,108,20,20,10080,144,1080,120,180,2580,60,12,
12,20,12,20,12,12,20,12,180,180,180,540,12,20,4,12,36,1260,180,36,36,60,36,12,
12,20,12,4,4,20,4,12,12,20,180,20,4,4,4,12,36,12,20,12,12,11340,144,24,24,16,
1080,144,24,24,16,8,540,36,12,12,8,4,180,180,12,12,12,8,4,12,12,8,8,4,8,4,8,8,
12,4,20,180,12,20,4,4,4,4,4,4,4,36,36,36,12,20,12,12,12,12,12,12,4,4,12,12,12,
4,12,4,4,36,4,12,4,4,4,12,12,1260,36,16,8,180,60,24,8,144,24,24,8,8,8,180,12,4
,12,4,4,4,8,12,12,8,4,4,12,4,36,4,12,4,4,4,4,4,12,12,12,12,12,4,4,4,4,12,4,4,4
,4,36,12,12,8,180,12,12,36,8,24,4,8,8,8,8,12,4,12,4,4,4,4,4,4,4,4,12,4,8,4,36,
12,12,4,4,4,8,4,12,4,4,4,4,4],[8108100,26460,780,4020,3780,1260,420,360,180,
108,76,48,32,180,72,28,1260,36,60,4,360,24,60,36,12,420,60,24,16,8,8,60,12,20,
12,12,28,28,4,4,4,24,120,48,24,60,24,8,60,4,4,12,12,4,4,4,4,4,60,4,60,60,60,4,
4,4,12,12,4,4,4,12,1260,60,4,36,12,8,4,28,4,8,4,60,60,12,12,4,4,4,4,4,4,4,4,4,
4,4,12,12,8,4,4,8,4,4,4,4,4,4,60,4,4,4,4,4,4,4,4,4,12,4,12,4,4,12,4,12,4,120,
24,60,60,12,12,4,4,4,60,60,4,4,4,4,4,4,4,4,4,12,4,4,4,12,4,12,4,4,4,12,4,4,4,4
,4,4,4,8,4,12,12,12,4,4,4,12,4,4,4,4,4,60,4,4,4,12,4,4],[8108100,34020,2340,
1860,648,34020,720,540,540,108,372,372,108,216,144,60,12,12,210,540,372,108,
108,540,108,108,144,108,108,42,144,108,108,108,42,60,30,12,12,12,12,6,6,6,6,6,
30,12,12,6,6,6,162,54,27,540,42,144,108,108,108,108,108,108,108,108,42,30,6,6,
6,30,6,6,6,6,6,12,6,6,6,6,12,6,6,6,6,12,6,6,6,6,12,6,6,6,6,6,3,42,108,108,108,
30,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,54,27,27,108,6,6,6,6,6,6,6,3,3,6,27,
3],[8108100,18900,900,660,113400,11340,60,60,140,12,84,60,4,36,12,1260,36,160,
16,360,120,60,60,4,4,12,12,12,10,10,2,2,2,2,2,2,2,2,2,30,6,6,6,140,60,20,12,12
,16,12,12,4,8,4,4,4,4,6,2,11340,24,8,360,8,16,12,4,60,4,4,4,2,2,2,2,2,2,2,10,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,8,4,4,12,4,4,4,4,6,6,12,12,4,6,2,2,2,2,2,60,60,4,4,
12,8,8,8,4,6,4,4,12,4,2,2,4,4,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,4,60,4,8,
8,4,4,2,4,2,2,2,2,2,6,4,4,2,2,4,4,2,2,4,2,2,2],[8108100,18900,900,3540,113400,
11340,60,300,140,108,84,60,20,36,144,72,12,72,40,8,288,360,120,60,60,24,20,4,8
,12,16,12,12,24,72,10,8,10,2,2,2,2,12,12,2,2,2,4,4,2,2,30,6,6,6,20,20,4,4,8,4,
12,8,8,4,4,4,4,6,2,11340,24,8,48,16,8,16,12,4,8,4,12,12,4,4,4,4,2,4,4,4,8,2,2,
2,2,2,2,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,4,4,4,4,4,4,4,6,6,4,6,2,2,2,2,2,6,2,2
,2,6,2,2,2,72,60,60,8,4,4,8,12,8,8,4,6,4,4,4,2,2,4,4,4,4,4,6,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,4,8,12,4,8,8,4,4,4,4,2,4,2,2,2,2,2,2,2,2,2
,4,6,4,4,4,2,2,2,4,2,4,2,2,2,2,2],[8108100,71820,540,4500,113400,22680,3780,
180,720,1140,156,252,72,56,396,144,12,840,144,20,12,5040,360,720,72,600,180,72
,48,56,48,40,180,108,44,108,108,12,12,12,12,120,630,90,126,30,30,18,18,18,30,
12,8,10,4,4,4,20,40,12,4,4,12,36,24,24,16,8,8,11340,540,24,12,180,72,96,36,20,
16,8,24,8,180,108,36,48,40,36,12,12,12,10,12,6,12,8,2,2,4,10,4,2,4,6,4,6,30,12
,18,30,18,8,4,6,10,6,10,10,10,4,4,6,6,6,18,6,18,6,6,14,6,2,2,10,4,4,4,24,4,8,4
,4,12,8,8,6,4,2,630,90,8,4,120,36,12,72,12,16,12,24,4,8,4,8,4,12,36,6,8,2,2,2,
4,4,4,8,4,2,18,4,4,6,6,6,10,6,6,2,6,6,4,2,4,4,2,2,4,4,2,2,6,6,6,2,2,2,4,4,90,
12,6,30,18,10,18,24,8,4,12,6,4,4,4,8,4,4,4,6,2,4,2,4,2,2,2,4,4,2,2,2,2,6,4,2,
18,6,8,6,4,2,6,2,4,2,4,2,6,2,4,2,2,2,2,2],[8108100,26460,2220,2580,3780,22680,
360,360,300,84,124,120,64,108,72,36,80,72,60,36,72,24,60,36,12,210,240,72,12,
32,24,4,180,24,24,12,12,8,36,26,24,12,20,20,12,18,72,60,8,30,16,16,4,20,12,14,
6,14,4,14,14,12,12,8,30,8,8,4,4,12,8,16,12,22,6,14,540,90,4,12,4,8,12,180,14,4
,24,4,12,12,12,6,30,8,8,4,4,14,2,6,30,12,8,4,4,4,4,2,4,8,4,4,4,4,4,6,6,2,8,14,
4,2,10,2,6,10,10,10,6,8,6,6,2,2,4,4,4,4,4,4,8,8,4,8,4,4,4,4,4,10,2,2,4,8,12,4,
30,12,2,6,4,12,4,4,6,4,4,2,2,2,4,30,14,2,2,8,4,4,6,6,4,4,4,4,4,4,4,4,6,2,4,2,4
,2,4,4,2,6,4,2,2,2,90,4,2,2,2,6,4,4,4,4,2,2,2,2,2,4,2,6,2,2,2,12,4,30,2,2,6,2,
4,2,2,6,2,2,2],[8108100,26460,1740,3060,3780,22680,720,360,300,84,156,88,64,36
,72,36,88,72,180,28,180,36,24,36,24,630,240,72,12,32,24,4,180,24,24,4,12,8,36,
46,48,12,20,20,12,6,72,180,8,90,8,8,12,20,12,18,10,10,4,10,10,12,12,8,90,8,8,
12,4,12,8,8,12,18,10,10,540,90,4,4,12,8,12,180,42,4,24,4,12,12,12,2,90,8,8,4,4
,10,6,2,90,12,8,4,4,4,4,6,4,8,4,4,4,4,4,6,2,2,8,10,12,6,14,6,10,6,6,6,2,4,6,6,
2,2,4,4,4,4,4,4,8,8,4,8,4,4,4,4,4,6,2,6,4,90,8,6,4,12,4,6,4,12,4,4,6,4,4,2,2,2
,4,90,10,6,6,8,4,4,2,2,4,4,4,4,4,4,4,4,2,2,4,2,4,6,4,4,6,2,4,2,2,2,90,4,6,2,2,
2,4,4,4,4,2,2,2,2,2,4,6,2,2,2,2,90,6,4,4,2,6,2,4,2,2,6,2,2,2],[8108100,71820,
2460,1620,3780,22680,3780,180,240,660,60,156,328,24,144,108,76,1260,36,60,36,
1260,72,12,36,24,240,180,72,24,24,180,24,24,32,36,12,60,36,16,12,60,12,12,24,
1260,60,36,12,12,12,12,4,60,20,20,8,16,4,4,28,12,12,12,12,8,60,60,20,4,4,12,12
,4,16,8,16,8,16,540,90,4,12,4,24,12,180,24,12,24,12,12,12,8,60,60,4,4,4,4,4,16
,8,60,60,20,4,4,4,4,12,12,4,4,4,4,4,8,8,8,12,16,8,4,8,8,8,16,8,4,4,4,4,12,12,4
,4,4,4,4,4,4,8,8,8,4,4,8,4,4,180,30,4,12,2,12,4,6,4,12,12,4,4,4,4,4,8,60,16,4,
4,4,4,4,8,8,8,8,4,4,4,4,8,4,8,4,4,4,4,8,4,4,2,90,2,4,4,2,2,6,8,4,4,4,4,4,4,8,4
,4,4,30,12,2,4,2,6,4,4,2,2,6,2,2,2],[8108100,71820,1500,2580,3780,22680,3780,
900,480,660,60,220,168,56,108,60,1260,36,300,20,1260,180,36,12,60,36,12,840,
240,180,72,24,40,300,36,12,60,36,56,60,20,20,20,1260,60,36,12,12,300,12,12,4,
240,20,20,16,16,16,180,12,180,60,240,12,12,20,12,12,4,16,16,540,90,4,60,12,12,
4,4,12,180,56,12,24,12,20,12,60,60,120,4,4,4,4,4,8,8,180,60,240,12,12,12,12,16
,12,12,4,4,4,4,4,16,20,16,16,16,16,180,12,12,12,12,12,12,4,16,12,180,30,90,4,6
,2,30,12,2,6,4,12,180,12,12,12,120,60,8,8,8,4,4,4,4,4,60,60,4,4,4,4,4,12,4,16,
4,4,8,12,2,90,30,2,2,2,6,2,4,60,4,4,4,4,4,12,8,4,4,4,90,30,6,2,30,2,2,6,4,30,2
,2,2,6,2,2,2],[8108100,56700,2700,1620,81,6300,180,120,900,60,108,240,16,192,
180,76,72,60,36,27,3,9,900,8,60,16,16,32,60,60,60,180,24,12,36,4,4,36,24,24,60
,12,12,8,8,12,4,4,36,4,16,16,12,12,8,60,36,4,4,4,12,8,16,16,8,8,12,9,3,3,9,3,
180,16,60,60,4,12,12,12,4,4,16,60,12,36,4,4,4,4,4,4,4,8,16,16,16,16,8,8,4,4,4,
4,12,4,4,4,4,4,12,12,4,4,4,4,4,4,4,8,8,16,4,4,4,4,4,3,1,1,3,3,1,3,3,1,1,3,60,
12,4,4,4,4,4,8,12,4,4,4,16,16,4,4,4,4,4,4,16,4,4,4,4,16,4,4,1,3,1,1,1,1,3,1,1,
4,4,4,4,16,4,4,4,3,3,1,1,1,1,1,3,4,1,1,1,1,3,1,1,1],[8108100,83160,3180,28350,
22680,6930,540,620,1420,198,54,1050,126,140,2520,108,450,102,420,540,780,220,
126,54,1050,140,54,30,54,140,100,30,6,60,60,140,100,30,30,6,270,36,54,22,26,
270,60,36,18,10,6,90,14,12,14,180,90,54,20,20,60,18,18,6,60,140,100,6,18,18,30
,18,30,18,60,18,18,6,6,6,6,6,90,12,14,6,6,2,10,42,6,18,22,36,36,6,10,6,6,12,14
,2,10,12,2,12,2,2,6,6,10,6,2,10,2,60,60,20,18,6,20,20,18,18,18,6,6,6,6,6,6,6,
18,6,6,12,2,2,2,6,6,2,2,6,2,10,6,6,6,2,10,2,2,6,2,2,2,2,6,2,6,2,2,20,18,6,6,6,
6,6,6,6,2,6,2,2,2,2,6,6,2,2,2,2,2,2,2,6,2,6,2,2,2,2,2,2],[8108100,37800,720,
3180,28350,3150,420,300,300,48,144,24,40,138,54,8,630,90,60,16,120,108,450,102
,420,300,16,12,12,60,36,30,8,4,18,90,12,48,60,18,6,10,60,8,12,6,8,2,60,60,60,4
,6,18,12,12,8,6,90,42,30,30,12,36,8,18,6,10,12,4,6,90,6,8,36,6,30,6,4,6,6,4,4,
2,4,4,60,60,6,6,6,4,2,2,2,18,12,6,6,4,8,60,2,6,6,2,6,6,6,6,6,6,18,4,6,4,2,4,42
,30,30,6,4,6,6,12,4,2,6,12,6,6,6,12,2,4,2,2,6,6,4,6,6,6,6,2,60,6,4,4,2,6,4,4,2
,6,6,6,2,2,2,6,6,30,2,6,4,2,2,2,6,2,2,2,2,6,4,2,6,6,6,6,6,6,6,6,2,2,2,2,2,2,2,
6,2,2,6,4,6,2,2,2,2,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2],[
8108100,109620,1620,5220,28350,22680,12600,180,840,3140,372,660,216,120,840,
180,36,1260,108,20,4,3150,270,198,630,126,840,2100,216,72,120,120,72,180,324,
228,372,600,36,36,36,36,180,1260,240,108,76,76,48,48,32,20,24,8,4,4,4,12,4,20,
240,4,4,4,12,24,76,48,32,270,90,18,66,62,18,30,450,126,102,62,126,54,54,30,66,
42,18,18,90,10,2,18,18,2,180,480,180,180,228,120,72,72,36,36,36,20,20,8,8,8,4,
4,4,4,4,4,4,4,20,240,8,24,24,24,4,4,4,4,12,12,12,12,12,4,4,12,4,4,12,12,60,76,
60,48,32,32,32,32,24,24,32,24,60,4,12,12,24,32,8,8,4,4,90,18,10,10,6,18,10,10,
10,6,2,6,2,2,6,30,30,42,18,18,54,54,18,30,30,30,18,18,90,66,42,62,30,42,18,18,
18,18,30,42,18,18,18,18,10,10,6,2,6,2,18,10,10,18,2,2,6,6,18,18,10,10,6,2,6,2,
2,10,6,6,2,6,6,10,180,36,72,20,8,8,4,4,4,4,4,4,4,4,4,4,4,24,12,4,4,24,60,4,4,
12,12,12,12,12,12,24,24,24,24,32,8,4,4,4,4,4,4,4,4,8,8,4,4,4,4,4,4,8,4,4,4,30,
18,18,30,42,30,30,18,18,18,18,30,18,18,18,6,6,18,10,10,10,10,10,10,6,6,6,6,18,
6,6,6,6,2,6,6,6,6,6,2,6,2,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,6,6,2,6,10,6,6,6,6,6,6
,6,10,6,6,2,2,6,6,6,6,10,6,6,2,2,2,2,2,2,2,2,6,6,6,10,6,6,6,2,2,6,6,6,6,6,10,6
,2,2,2,2,2,2,2,2,4,24,12,4,4,4,8,4,4,4,4,4,4,4,4,30,18,18,6,6,2,2,2,2,2,2,6,6,
6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6,6,6,6,6,10
,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,6,6,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[8108100,34020,900,3300,28350,1260,60,200,
420,132,132,48,32,228,60,12,840,120,100,20,630,150,126,270,78,60,24,16,8,8,20,
36,28,36,36,12,4,4,4,20,80,40,16,24,8,20,8,8,4,4,4,4,4,20,60,40,4,4,20,8,16,8,
12,20,8,8,36,6,12,6,6,8,30,18,22,18,12,12,8,12,16,6,6,90,10,10,30,6,10,12,8,4,
20,16,8,4,4,20,8,8,4,4,4,4,4,4,4,4,4,4,4,8,12,8,4,4,8,4,8,4,8,8,4,12,2,12,8,2,
2,2,2,2,2,6,2,2,6,4,4,2,2,12,6,6,4,6,2,2,2,6,2,2,4,4,2,2,2,2,6,2,10,6,10,2,4,4
,4,4,2,2,2,2,2,2,4,4,2,4,2,4,20,8,4,4,4,4,4,4,4,4,8,4,4,4,8,4,6,2,2,4,4,2,2,2,
2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,4,2,4,2,2,2,2,4,2,4,8,4,4,
4,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2],[8108100,83160,1440
,2700,28350,22680,6930,180,540,1420,96,198,54,24,1050,78,20,24,2520,240,108,
450,54,540,780,180,126,12,8,54,1050,140,54,30,30,24,20,4,12,18,6,16,4,4,20,140
,8,22,30,12,4,2,270,36,18,22,18,270,60,36,24,18,10,12,6,90,6,12,24,12,2,180,90
,54,20,20,10,6,6,4,12,20,140,6,18,18,18,8,4,18,30,18,12,4,4,4,18,18,6,6,2,2,2,
90,12,6,6,6,2,8,6,6,6,18,18,36,36,6,4,6,10,6,6,12,2,2,12,2,2,12,24,2,4,2,2,4,6
,6,6,2,2,4,2,2,4,20,6,6,12,4,2,4,4,4,18,18,6,2,6,6,6,2,2,18,6,6,12,2,2,2,2,6,2
,6,2,2,4,6,2,6,6,6,6,2,2,4,2,2,2,2,4,2,4,2,2,2,2,2,2,2,4,2,2,2,2,6,2,2,6,6,2,2
,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[8108100,37800,2160,2700,28350
,3150,60,220,300,48,144,120,40,138,54,32,630,138,100,8,360,108,450,54,300,16,
12,12,20,36,30,12,8,8,4,18,90,12,40,42,6,10,20,20,4,8,6,8,8,6,4,20,40,8,4,14,
18,12,12,4,4,2,90,6,30,30,4,36,8,18,30,10,12,16,6,90,14,4,12,10,30,6,4,20,14,2
,4,4,2,4,4,20,6,6,2,8,4,4,2,2,2,18,12,6,6,4,4,8,4,4,4,2,6,6,2,2,2,2,6,14,6,18,
4,6,4,4,2,2,30,30,2,4,6,6,12,6,4,4,2,6,4,2,2,12,2,2,4,10,2,4,2,4,6,2,6,4,2,2,4
,2,2,4,2,4,4,4,2,20,6,4,4,2,6,6,2,2,2,2,2,2,30,2,6,4,2,2,2,2,6,4,2,4,2,2,4,4,6
,2,2,6,6,6,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,4,2,2,2,2,2,6,2,4,6,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[8108100,71820,540,1620,113400,22680,
3780,180,240,660,60,156,72,24,108,12,2100,108,140,20,5040,72,720,72,240,180,72
,24,24,180,36,12,60,36,12,12,12,12,1260,60,36,12,12,12,12,4,60,4,4,4,140,220,
20,20,20,8,24,60,36,20,16,16,11340,540,24,12,180,24,12,4,360,16,24,8,180,12,24
,12,12,12,60,100,12,4,12,12,4,12,4,8,4,60,60,4,4,4,4,4,12,12,4,4,4,4,4,24,36,
16,16,16,20,8,8,12,20,24,12,12,4,8,4,630,18,180,4,4,4,120,36,12,4,24,4,16,12,8
,4,12,60,4,4,4,4,4,12,16,8,12,4,8,4,4,4,4,8,4,4,12,4,8,8,8,12,4,4,4,90,12,6,30
,6,2,6,60,8,6,4,12,8,4,4,4,4,4,8,4,4,8,4,4,4,4,4,6,30,2,2,2,2,4,2,6,2,8,6,4,4,
6,4,2,2,2,2,2,2],[8108100,41580,540,3060,113400,22680,1260,180,480,580,108,156
,72,40,180,72,12,840,144,60,20,144,1440,72,360,60,72,24,40,32,16,180,36,20,60,
36,12,12,12,12,48,210,70,90,18,18,6,6,14,18,12,8,6,4,4,4,60,40,20,12,12,12,36,
24,24,16,16,16,11340,540,144,40,12,24,8,4,180,20,24,180,36,12,32,16,12,12,12,
12,30,12,6,12,8,6,6,4,14,4,2,4,10,4,6,10,12,6,18,6,8,4,2,6,2,6,6,6,4,4,2,2,6,6
,6,6,2,2,10,2,2,2,6,4,4,4,24,12,16,12,12,12,8,8,6,4,2,36,24,8,4,4,240,36,24,12
,4,24,4,12,16,4,12,12,6,8,2,2,2,4,4,12,8,4,2,6,4,4,2,2,2,6,2,2,2,2,6,4,2,4,4,2
,6,4,4,6,6,10,6,6,2,2,2,4,4,90,36,20,6,4,6,2,30,10,6,12,8,4,4,4,4,4,2,6,4,2,4,
2,2,2,4,4,2,2,2,2,12,6,6,4,2,2,2,2,6,2,6,8,4,2,6,2,2,4,2,2,2,2],[8108100,68040
,2160,2220,28350,6930,60,140,780,48,144,120,40,174,42,32,210,102,100,8,2520,
360,72,270,78,780,16,12,12,20,36,90,12,8,8,4,14,50,4,40,42,6,10,20,20,4,8,2,8,
8,6,4,20,40,8,4,10,14,12,12,4,4,6,36,6,12,6,6,8,270,48,12,8,36,6,30,10,18,6,16
,4,8,4,30,6,10,90,6,4,20,10,6,4,4,2,4,4,20,2,2,6,8,4,4,2,2,2,14,12,6,6,4,4,8,4
,4,4,2,6,2,2,6,2,2,4,4,2,8,2,4,2,2,2,6,2,2,4,2,4,4,2,36,12,6,4,4,2,6,6,2,4,4,2
,2,2,2,4,4,2,2,2,6,30,2,2,10,4,4,4,2,2,2,2,4,2,4,2,2,4,6,4,4,4,2,20,2,4,4,2,6,
2,6,2,2,2,2,2,6,2,2,4,4,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,4,2,2,2,2,4,
2,4,2,4,2,2,2,2,2,2,2,4,2,2,6,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2],[8108100,132300,540,4500,113400,22680,16380,180,720,3220,252,
348,72,56,756,144,12,2100,108,60,4,10080,288,1440,72,720,2580,72,48,56,56,48,
180,252,204,252,612,12,12,12,12,144,2100,340,108,84,84,36,36,28,60,24,12,4,4,4
,8,4,60,340,4,4,4,8,24,84,36,28,11340,540,144,40,12,1080,192,72,48,32,12,180,4
,24,180,540,144,180,204,56,48,48,12,12,12,60,60,12,12,12,4,4,4,4,4,4,4,4,60,
340,12,24,24,24,4,4,4,4,8,8,8,8,8,4,4,8,4,4,8,8,72,84,72,36,28,28,28,28,24,24,
28,24,72,4,8,8,24,28,12,12,4,4,1260,72,180,24,4,4,4,4,240,36,24,12,72,144,24,
32,12,12,24,4,24,4,24,4,4,4,180,12,48,60,12,12,4,4,4,4,4,4,4,4,4,4,4,24,8,4,4,
24,72,4,4,8,8,8,8,8,8,24,24,24,24,28,12,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,4,12,4
,4,4,90,36,20,6,180,24,16,48,18,6,30,2,24,12,6,24,4,4,4,4,4,4,4,4,4,24,8,4,4,4
,12,4,4,4,4,4,4,4,4,12,6,30,6,2,2,2,2,18,36,12,16,6,6,2,6,2,6,2,6,2,2,4,4,12,6
,2,2,6,2,2,2,2,2,2,2],[8108100,86940,1260,4500,945,45360,6300,540,1080,2100,
204,428,192,96,468,144,36,1680,120,60,4,315,135,27,15,45,45,9,1080,900,192,48,
96,96,48,540,156,92,204,276,36,36,36,36,144,1680,240,120,72,72,40,40,24,60,36,
12,4,4,4,12,4,60,240,4,4,4,12,36,72,40,24,315,27,9,9,5,3,45,27,9,9,3,15,9,5,5,
9,15,3,9,1,3,3,540,180,144,60,92,96,48,48,36,36,36,60,60,12,12,12,4,4,4,4,4,4,
4,4,60,240,12,36,36,36,4,4,4,4,12,12,12,12,12,4,4,12,4,4,12,12,48,72,48,40,24,
24,24,24,16,16,24,36,48,4,12,12,16,24,12,12,4,4,315,45,15,9,9,3,3,1,1,1,1,1,45
,9,15,3,3,9,3,5,3,9,9,3,3,3,3,9,3,3,1,1,3,1,3,1,3,1,3,1,1,1,60,36,48,60,12,12,
4,4,4,4,4,4,4,4,4,4,4,16,12,4,4,36,48,4,4,12,12,12,12,12,12,16,16,16,16,24,12,
4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,4,12,4,4,4,9,3,5,9,3,45,9,5,5,5,3,9,15,9,9,3,3
,3,1,3,3,3,1,3,3,1,1,1,1,1,1,1,1,1,1,1,4,16,12,4,4,4,12,4,4,4,4,4,4,4,4,3,3,3,
3,1,1,1,1,1,1,9,3,3,3,3,9,3,3,3,3,5,1,3,1,1,1,3,1,1,1,3,1,1,1,1,1,4,3,3,1,1,3,
1,1,1,1,1,1,1,1,1,1,1],[8108100,68040,720,2700,28350,6930,420,220,780,48,144,
24,40,174,42,8,210,150,60,16,2520,120,72,270,126,420,780,16,12,12,60,36,90,8,4
,14,50,4,64,60,18,6,10,60,8,20,2,8,2,60,60,60,4,18,14,12,12,8,2,36,42,12,6,6,
16,270,48,12,8,36,6,6,10,18,6,4,4,16,8,6,6,6,90,6,4,18,18,4,4,2,4,4,60,60,2,2,
18,4,2,2,2,14,12,6,6,4,8,60,2,6,2,2,2,2,2,4,4,2,16,2,2,4,6,4,42,6,6,2,4,2,4,4,
2,36,12,4,2,6,6,2,4,4,6,2,6,2,2,4,4,2,2,6,6,2,2,6,4,2,6,6,2,6,2,60,18,4,4,2,18
,4,4,2,6,2,2,2,2,2,2,2,6,2,2,4,4,2,2,2,2,2,2,6,2,2,2,2,2,4,6,2,2,6,2,2,2,6,2,2
,2,2,2,6,2,6,2,2,2,18,4,2,2,2,2,2,6,2,2,2,6,2,6,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,
2,2,2,2],[8108100,34020,2340,3780,28350,1260,420,280,420,132,228,144,64,228,60
,84,840,24,60,12,630,390,126,270,126,420,60,24,16,24,8,60,36,28,36,36,84,84,12
,12,12,20,80,40,16,60,24,8,60,12,12,8,8,12,12,12,4,4,60,12,60,60,60,12,12,12,8
,12,4,12,12,8,36,42,12,6,6,16,78,18,22,18,12,36,16,12,16,42,6,90,2,6,6,6,6,84,
12,8,12,60,60,8,8,12,12,12,4,4,4,12,12,4,4,4,8,12,8,4,4,8,12,12,12,12,12,12,60
,12,12,12,12,12,12,4,12,12,8,4,8,4,4,8,4,8,4,12,2,12,8,2,6,2,6,2,2,6,42,6,6,2,
6,4,12,2,2,12,6,6,4,42,42,6,6,6,6,2,2,4,4,6,2,6,2,2,6,2,2,6,6,6,6,4,4,6,2,6,2,
2,6,6,2,6,6,2,6,6,2,2,60,12,12,12,4,4,12,4,4,12,8,4,4,4,8,4,8,4,4,4,8,4,12,4,4
,4,42,6,6,2,6,4,4,2,2,6,6,6,2,2,2,2,2,2,6,6,2,2,6,6,2,2,2,6,6,2,2,6,2,2,2,6,2,
6,2,6,2,6,2,2,6,6,6,6,2,6,2,6,6,2,2,2,2,2,2,2,2,2,2,12,4,8,4,4,4,4,4,6,6,6,2,2
,2,6,2,2,2,6,2,2,2,2,2,2,2,2,2,6,2,2,2,2,6,2,2,2,2,2,2,2,4,6,2,2,2,2,2,2,2,2,2
,2,2],[8108100,52920,1440,1260,28350,22680,3150,180,300,620,96,66,18,24,630,90
,20,24,240,630,126,300,300,180,42,12,8,18,630,60,18,10,10,24,20,4,12,6,2,16,4,
4,20,60,8,18,10,12,4,6,270,90,18,66,62,18,30,24,12,8,12,18,18,2,180,30,18,20,
20,14,2,2,4,12,20,60,2,6,6,6,8,4,6,10,6,12,4,4,4,6,6,2,2,6,2,2,8,8,4,6,30,30,
42,18,18,6,4,18,18,10,10,6,2,6,2,2,2,4,6,4,2,6,6,10,2,2,4,20,2,2,12,4,6,4,4,4,
6,6,2,6,2,2,2,2,2,30,18,18,6,6,2,4,4,6,4,4,6,2,2,6,6,6,6,10,6,6,2,2,2,2,2,2,2,
2,2,2,2,2,4,2,2,6,2,2,2,6,6,2,2,2,6,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2],[8108100,94500,900,2340,28350,12600,60,40,2100,180,228,48,16,480,12,48,100,
20,3150,150,90,450,54,2100,8,20,180,180,180,480,12,4,4,4,16,24,20,8,4,4,4,4,20
,40,4,4,20,4,8,8,8,8,8,90,6,30,30,4,450,54,30,30,90,12,4,30,30,6,4,10,12,10,
480,180,180,4,20,8,8,4,4,4,4,20,8,4,4,4,4,4,4,4,4,8,4,4,8,8,4,4,4,4,2,2,2,2,30
,30,2,4,90,30,30,30,30,30,6,2,2,2,30,30,4,2,2,4,10,2,2,4,12,2,2,2,4,2,2,2,4,2,
2,180,8,4,4,4,20,4,4,4,4,8,4,4,4,4,4,30,30,30,30,30,2,4,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,4,8,4,4,4,30,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,4,2,2,2,2,2,2,2,2],[8108100,49140,1620,2340,28350,22680,1260,180,360,
820,132,372,216,72,108,36,420,132,20,4,630,270,90,450,54,360,60,216,72,72,180,
36,12,132,36,36,36,36,36,420,20,36,12,12,12,12,4,20,4,4,4,20,20,4,4,4,8,16,12,
12,20,8,270,36,18,22,18,54,66,22,30,18,54,18,12,18,12,2,24,12,2,180,12,72,36,
36,36,20,20,16,4,4,4,4,8,4,20,20,4,4,4,4,4,12,12,4,4,4,4,4,4,8,4,8,4,4,4,2,4,2
,2,2,6,18,18,18,54,18,18,18,12,22,6,18,18,18,18,6,12,2,2,4,8,2,2,4,2,4,2,2,2,2
,4,2,2,4,2,2,36,20,4,4,4,4,4,8,4,4,4,8,4,4,8,4,4,18,6,18,18,18,18,4,2,2,2,2,2,
4,2,2,2,2,2,2,2,2,4,2,2,2,4,2,2,2,2,2,2,4,2,2,2,2,4,8,4,4,4,18,2,2,2,4,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2],[8108100,52920,1740,28350,22680,3150,
540,380,620,66,18,630,42,140,630,174,420,300,300,220,42,18,630,60,18,10,18,140
,100,10,2,60,60,60,100,10,10,2,270,90,54,66,62,18,38,42,18,14,180,30,18,20,20,
60,6,6,2,60,60,100,2,6,6,10,6,10,6,60,6,6,2,2,2,2,2,42,30,30,42,22,18,18,18,18
,10,14,6,10,10,2,6,6,6,10,10,10,2,60,60,20,6,2,20,20,6,6,6,2,2,2,2,2,2,2,30,18
,18,6,6,6,2,10,6,6,6,10,6,6,10,6,6,2,2,2,6,2,2,6,2,2,2,20,6,2,2,2,2,2,6,6,6,6,
6,2,2,2,2,6,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2],[8108100,64260,900,2820,113400,
11340,3780,60,220,500,84,132,108,28,36,180,36,28,1680,144,60,12,5040,216,360,
120,60,180,60,12,12,12,4,20,12,12,20,12,36,20,36,36,12,20,4,12,12,630,90,54,30
,30,18,18,10,18,8,8,6,8,8,60,200,12,4,4,8,24,48,24,24,4,4,11340,24,8,16,180,24
,24,12,12,4,180,12,48,12,12,8,4,12,4,4,8,4,20,30,12,6,12,4,6,6,12,4,6,4,2,12,6
,2,30,6,6,6,8,8,2,2,2,6,2,2,2,2,6,6,6,6,6,6,6,2,2,2,6,4,4,4,4,8,4,4,12,36,4,4,
8,4,12,16,12,18,4,4,6,630,54,8,8,8,60,60,8,4,4,24,4,24,4,4,4,8,4,4,4,4,4,4,4,
12,4,4,4,6,4,4,2,2,2,2,2,6,4,2,4,4,4,2,2,4,2,2,8,2,2,6,6,2,2,2,2,2,2,6,2,2,2,
12,4,8,30,6,6,6,6,2,30,6,12,4,4,4,8,4,4,4,4,2,2,6,2,2,4,2,4,2,2,2,2,2,2,4,4,4,
4,2,2,4,6,2,6,2,2,2,4,2,2,4,2,2,2,2,2,2],[8108100,11340,2700,2340,81,180,120,
60,52,60,96,40,192,72,36,92,120,16,27,3,9,12,8,4,28,28,24,12,8,4,24,12,8,8,8,
12,36,30,30,10,10,14,6,12,6,14,6,4,10,10,90,6,6,10,60,60,4,12,8,4,8,4,12,8,6,2
,1,3,9,3,4,4,4,12,12,8,4,4,2,4,4,8,8,4,4,4,2,2,6,4,2,8,4,4,6,4,4,4,4,2,4,4,8,8
,30,2,2,6,6,6,6,2,2,6,2,10,6,2,6,4,4,4,4,6,2,4,6,2,2,2,2,2,6,2,2,2,6,2,2,2,1,1
,1,1,1,1,1,3,6,6,2,2,4,4,2,2,4,4,4,2,2,4,2,4,4,4,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2
,2,4,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,2,4,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,2,1,1
,1,1,1,1,1,1],[7783776,36288,1440,480,480,2016,6,480,24,2016,48,6,48,24,48,6,
48,6,48,6,6,6,6,6,6,6,6],[7783776,36288,1440,480,1008,144,480,2016,6,480,48,
2016,48,6,48,48,72,48,24,6,48,8,8,6,48,8,8,6,6,8,6,6,6,2,2,6,2,2],[7783776,
36288,1152,1440,480,32,480,32,2016,6,16,16,16,480,16,2016,48,2,6,48,2,16,48,6,
2,48,2,6,48,2,6,6,2,6,2,6,6,2,6,2,2,2,2,2],[7413120,51840,259200,51840,5760,
5760,36,5760,51840,12,18,12,6,6,5760,6,12,6],[7413120,51840,2160,1440,5760,720
,36,5760,1440,12,18,12,6,6,720,6,12,6],[7413120,17280,1512,96,960,72,36,960,24
,4,12,16,36,4,12,1,4,4,1,4,1,1,1,1],[7207200,100800,4320,75600,1260,36,10080,
7560,720,1440,648,216,10080,1260,432,36,1440,432,36,36,720,216,216,1260,36,36,
360,36,36,144,72,1080,144,144,216,72,36,36,72,216,1260,36,180,108,36,36,36,36,
36,72,144,36,72,72,72,36,180,108,36,36,36,36,36,36,36,36,36,36,36,72,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36],[7207200,40320,2880,2400,
75600,1260,36,10080,480,480,192,480,96,96,3360,420,480,60,192,36,12,12,12,720,
144,60,36,36,36,240,192,48,96,48,1260,36,36,360,36,36,48,24,12,12,48,60,48,72,
120,24,48,12,12,12,36,12,12,12,12,12,12,48,420,12,12,12,60,60,36,36,12,12,12,
12,12,12,36,36,36,24,12,48,48,24,48,24,12,12,12,12,12,12,12,36,60,36,12,12,12,
12,12,12,12,36,36,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,12,36,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12],[7207200,20160,480,226800,10080,576,20160,160,160,160,
1200,48,96,160,160,10080,576,576,20160,1200,160,96,16,1200,96,16,16,16,160,96,
160,16,16,16,576,1200,96,96,96,16,96,160,16,160,16,16,16,96,160,16,16,16,16,16
],[7207200,20160,480,126000,2520,288,360,10080,280,80,160,24,8,720,48,72,72,80
,8,8,1680,120,96,144,48,10080,280,120,72,40,24,16,8,8,120,72,40,24,24,16,16,8,
8,8,48,24,80,8,8,8,8,8,8,48,120,72,24,24,24,40,24,16,16,16,8,24,16,8,8,8,8,8,8
,8,8,8,24,16,8,8,8,8,8,8,8,8],[7207200,40320,1440,75600,1260,36,10080,240,480,
840,72,3360,420,144,12,720,144,36,36,240,24,24,1260,36,36,360,36,36,48,24,48,
48,12,12,72,24,24,420,12,60,36,12,12,36,36,36,24,48,12,24,24,36,420,12,36,36,
36,12,12,12,12,12,12,24,36,12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12]
,[7207200,161280,1440,151200,3780,144,10080,20160,240,1440,1680,23520,3780,144
,12,3120,12,240,1440,1680,240,240,3780,144,144,10080,240,12,240,144,12,3120,
144,48,12,12,240,48,240,3780,12,600,144,12,1680,240,240,48,240,48,144,12,48,48
,48,144,240,12,12,12,600,12,12,12,12,12,12,240,48,144,240,12,48,12,48,12,12,12
,12,12,144,12,48,12,12,12,12],[7207200,40320,3360,151200,3780,144,10080,720,
480,48,72,48,3360,420,120,336,48,12,1680,120,12,240,24,48,24,24,3780,144,144,
10080,240,12,240,12,12,120,48,144,12,12,12,12,12,12,24,420,48,12,120,240,48,48
,48,12,48,12,12,12,240,48,12,12,12,12,12,144,240,12,12,12,120,12,48,12,12,12,
12,12,24,12,48,48,12,12,12,12,48,12,12,12,12,12,48,12,12,12,12,12,12],[7207200
,70560,1440,1440,126000,1890,72,90,10080,2520,288,96,168,840,24,10080,1680,240
,90,120,18,30,6,120,288,18,42,96,72,840,24,24,24,24,1680,30,24,36,12,10080,120
,18,6,120,18,6,24,18,120,96,24,24,42,72,6,18,6,6,120,6,24,6,24,1680,30,6,48,18
,18,12,12,6,840,120,24,6,120,24,6,6,96,24,24,18,6,6,24,6,24,6,24,6,12,120,18,6
,6,6,6,48,6,18,6,6,6,6,6,6,6,24,24,6,12,12,120,6,6,24,6,6,6,24,6,6,6,6,6,6,6,6
,12,6,24,6,6,6,6,6,6],[7207200,40320,3360,50400,1260,72,144,280,160,480,216,72
,1680,3360,420,240,240,48,12,240,192,84,24,24,80,48,240,420,48,24,36,12,280,16
,4,16,4,16,48,16,72,48,16,12,16,4,240,48,24,420,48,12,24,24,24,12,12,12,80,16,
16,16,24,8,8,4,8,48,8,12,16,4,4,4,24,24,4,4,12,4,4,12,24,8,12,12,16,4,4,8,8,4,
12,4,4,4,12,4,8,4,4,4,4],[7207200,40320,1920,1440,50400,1260,72,144,280,480,
256,72,32,48,3360,420,144,72,12,24,240,84,24,24,32,16,8,24,420,48,24,36,12,280
,16,4,16,4,4,48,16,28,4,24,12,4,12,12,8,420,12,24,24,24,12,12,12,12,16,4,4,4,
24,4,8,4,4,12,4,12,16,4,4,4,24,4,12,4,12,4,4,12,8,4,12,12,4,4,4,4,8,4,12,4,4,4
,12,4,4,4,4,4,4],[7207200,10080,1440,2400,100800,144,36,10080,96,96,32,48,72,
48,192,12,12,2,8,192,36,6,96,8,48,8,8,12,36,12,10080,36,36,6,16,12,2,12,2,2,2,
6,8,12,12,2,6,12,2,2,12,48,2,2,2,96,12,2,6,2,2,12,36,12,2,2,2,12,12,12,2,2,8,2
,12,2,2,12,6,2,12,2,2,2,2,2,12,2,2,12,2,2],[7207200,40320,1440,151200,3780,144
,10080,240,480,840,72,3360,420,144,12,1680,12,240,24,24,3780,144,144,10080,240
,12,240,12,48,48,12,12,96,24,420,12,240,48,12,240,48,12,144,420,12,240,12,12,
12,12,12,12,24,48,12,48,12,12,12,48,12,12,12,12],[7207200,40320,1440,50400,
1260,72,144,10080,240,480,840,72,3360,420,144,12,240,84,240,24,24,420,48,24,36
,12,60,18,12,240,12,48,48,12,12,24,24,420,12,24,12,12,12,48,12,12,420,12,6,12,
6,6,12,12,12,12,12,12,6,6,12,12,12,6,12,6,6],[7207200,40320,1440,50400,1260,72
,144,280,480,72,840,72,3360,420,144,12,240,84,24,24,16,420,48,24,36,12,280,16,
4,16,4,48,16,12,4,24,8,420,12,24,12,12,24,8,4,12,420,12,16,4,4,4,4,12,4,8,12,4
,8,4,12,4,12,4,4,4,4],[7207200,10080,1440,480,100800,144,36,10080,96,96,80,16,
12,12,192,36,96,16,16,12,36,12,10080,36,36,12,12,32,16,12,12,12,12,96,12,12,4,
4,36,12,12,12,12,16,12,12,12,4,4,4,12,4,12,4],[7207200,154560,4320,75600,1260,
36,25200,4320,720,13440,1260,576,84,12,2640,144,12,84,4320,720,1260,36,36,576,
36,144,2640,576,144,144,84,12,36,720,1260,84,12,12,300,36,36,12,12,84,12,12,
144,576,144,144,36,36,300,36,36,84,12,12,36,84,36,12,12,84,12,12,36,144,12,36,
12,12,12,36,84,36,36,12,36,36,12,12,12,12,12,12,12,12,36,12,12,12,12,12,12],[
7207200,53760,960,4960,75600,1260,36,840,400,1120,192,96,96,328,168,4480,420,
160,100,528,12,12,76,4,12,960,112,100,12,36,12,4,48,48,48,72,56,1260,36,36,48,
16,12,16,24,16,28,4,12,40,64,16,100,160,24,24,24,28,28,40,56,12,12,12,12,28,16
,4,4,12,20,4,24,420,12,76,4,12,12,100,100,12,12,12,12,12,4,4,4,4,4,4,36,12,12,
4,8,12,8,16,16,8,16,12,12,12,12,24,8,8,12,28,4,36,100,12,12,8,28,12,24,4,4,4,4
,4,4,4,4,4,4,4,12,4,28,4,4,20,12,12,4,28,4,4,4,4,4,4,4,4,4,12,4,4,4,8,12,12,12
,12,4,4,12,4,4,12,4,28,4,4,4,4,4,4,4,4,12,12,4,4,12,4,4,12,4,4,12,4,4,4,4,4,4,
4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4],[7207200,94080,1440,75600,1260,36,7560,480
,216,840,72,10080,1260,144,12,1200,144,12,12,72,240,72,1260,36,36,48,1080,48,
72,24,12,120,24,12,12,48,12,72,1260,12,180,36,36,12,12,12,12,24,48,24,12,24,24
,36,180,36,12,12,12,12,12,12,12,12,12,12,24,12,36,12,12,12,12,12,12,12,36,12,
12,12,12,12,12,12,12,12],[7207200,33600,960,1440,75600,1260,36,240,160,64,96,
32,280,88,3360,420,160,60,96,12,12,4,4,480,48,60,12,12,12,16,16,8,24,16,1260,
36,36,16,4,16,60,16,24,24,8,4,12,4,4,4,4,40,4,24,12,12,16,16,4,4,4,8,420,12,4,
4,60,60,12,12,12,12,12,4,4,4,12,12,12,8,4,16,8,4,4,4,8,4,4,8,4,8,4,36,60,12,4,
12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,12,12,4,4,8,4,12,12,12,4,4,4,4,4,4,4,4,4,4
,4,4,4,4,4,4,12,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4],[7207200,33600,1920,1120,75600
,1260,36,160,160,256,16,24,32,280,72,3360,420,320,40,48,24,4,8,480,112,40,12,
12,24,4,32,8,16,8,24,1260,36,36,16,16,24,16,4,4,4,40,16,64,4,4,16,4,4,24,4,4,
40,24,12,12,16,4,8,420,4,8,40,60,24,12,12,4,4,4,8,8,12,12,12,4,16,4,4,8,4,8,16
,4,4,4,8,4,4,8,36,40,24,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,12,12,4,4,8,
12,12,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4],[
7207200,23520,1440,1760,75600,1260,36,840,80,96,32,32,56,32,80,1120,240,50,120
,18,6,8,6,600,128,50,12,36,18,2,24,8,24,8,4,4,8,1260,36,36,48,8,12,8,14,2,6,2,
40,32,8,16,8,8,14,8,16,2,4,6,4,4,4,2,2,2,24,12,12,8,2,2,4,6,8,6,50,40,18,24,6,
6,4,2,2,8,6,6,36,12,12,2,2,8,8,2,2,2,4,4,2,6,8,4,6,2,2,4,2,4,2,2,8,2,2,36,4,2,
4,4,2,4,4,12,2,4,2,2,14,4,2,2,2,2,2,4,6,2,2,4,2,4,2,2,2,2,12,12,12,2,2,4,2,12,
6,8,6,4,2,2,2,2,2,2,2,2,2,6,2,2,4,2,4,4,2,2,2,2,2,2,2,2,4,4,12,4,2,2,4,2,2,2,2
,2,2,2,2,2,2,4,2,2,2,2],[7207200,73920,2400,75600,1260,36,6720,160,480,144,72,
280,72,5600,420,240,20,1440,240,12,60,480,24,80,48,24,1260,36,36,240,24,48,16,
560,48,32,48,16,8,4,24,40,24,12,12,16,4,24,420,20,140,60,12,8,20,60,12,12,16,
16,16,8,48,48,8,8,8,8,4,16,8,36,40,24,8,4,12,24,4,8,32,8,4,8,8,12,4,4,12,12,12
,4,8,8,12,12,20,8,4,4,4,4,4,12,4,8,8,8,4,4,4,12,8,12,8,4,4,8,4,4,4,4,4,4,4,8,4
,4],[7207200,40320,1440,151200,3780,144,10080,240,480,144,32,3360,420,144,12,
1680,12,240,32,16,3780,144,144,10080,240,12,240,12,48,48,12,12,32,16,420,12,
240,48,12,240,48,12,144,24,4,240,12,12,12,12,12,12,16,48,12,48,12,4,4,12,8,4,
12,4],[7207200,40320,1440,50400,1260,72,144,280,480,72,144,32,3360,420,144,12,
240,84,24,32,24,420,48,24,36,12,280,16,4,16,4,48,16,12,4,8,8,420,12,24,12,12,
24,8,4,12,24,4,16,4,4,4,4,12,4,8,12,4,8,4,12,4,4,4,4,4,4],[7207200,40320,1440,
50400,1260,72,144,10080,240,480,144,32,3360,420,144,12,240,84,240,32,16,420,48
,24,36,12,60,18,12,240,12,48,48,12,12,8,16,420,12,24,12,12,12,48,12,12,24,4,6,
12,6,6,12,12,12,4,12,12,6,6,4,4,6,4,4,6,2],[7207200,33600,480,75600,1260,36,
160,1120,96,32,3360,420,48,4,480,48,12,12,32,32,1260,36,36,16,16,4,40,24,16,12
,12,24,40,4,16,420,4,60,12,12,4,12,12,12,8,4,16,8,8,36,420,4,4,4,4,4,4,4,12,12
,12,4,8,12,12,4,4,4,4,4,4,12,4,12,4,4,4,4,4,4,4,4],[7207200,33600,480,75600,
1260,36,160,280,264,3360,420,48,4,480,48,12,12,8,24,16,1260,36,36,16,16,4,40,
40,12,12,48,16,4,8,420,4,60,12,12,4,12,12,12,8,4,8,8,8,36,32,4,4,4,4,4,12,12,
12,4,8,12,12,4,4,4,4,4,4,8,12,4,4,4,4,4,4,4,4],[7207200,80640,1440,75600,1260,
36,10080,6720,240,800,560,5600,420,144,12,1680,144,36,84,240,480,560,80,80,
1260,36,36,360,36,240,36,24,80,24,560,80,48,12,12,80,32,8,80,420,12,140,36,12,
8,12,84,36,36,80,16,48,24,48,48,12,32,8,8,16,16,8,36,40,4,36,36,36,24,12,12,32
,8,12,12,12,20,8,8,8,16,8,36,12,12,8,12,4,4,4,8,8,4,12,12,12,8,4,4,36,8,8,12,
12,4,4,4,4,12,8,4,4,4,4],[7207200,40320,2080,75600,1260,36,10080,400,480,16,24
,16,3360,420,40,144,12,720,208,40,36,36,4,240,8,16,8,8,1260,36,36,360,36,36,16
,48,24,40,4,4,40,48,48,4,4,12,12,4,16,4,4,8,420,12,40,60,36,12,4,4,12,36,36,36
,4,4,4,24,8,48,12,4,16,4,8,4,4,4,8,36,40,4,36,36,36,4,12,12,4,4,4,4,12,12,12,
12,4,4,4,4,4,4,8,36,12,12,4,12,4,4,4,4,4,4,4,12,12,4,4,4,4,36,4,4,12,12,4,4,4,
4,12,4,4,4,4,4],[7207200,30240,1440,800,75600,1260,36,10080,840,160,96,56,280,
8,1120,240,50,24,18,6,6,840,32,50,36,60,18,2,96,24,280,8,8,8,8,1260,36,36,360,
36,48,36,8,12,14,2,10,6,40,32,24,24,14,8,6,10,6,6,40,2,8,16,4,2,2,8,6,6,50,40,
18,6,6,4,2,2,6,6,60,36,36,2,40,8,2,2,6,6,24,8,6,6,6,16,8,4,2,2,2,2,8,2,8,2,2,
36,2,2,36,36,36,12,2,6,6,14,4,2,2,6,6,2,4,10,6,6,6,2,2,2,4,2,4,4,2,8,2,2,36,6,
6,4,2,6,2,2,2,2,4,2,2,2,2,4,2,6,6,6,6,2,4,2,2,2,2,2,36,4,2,4,2,6,6,2,2,2,2,2,6
,4,2,2,2,2,2,2],[7207200,60480,4320,151200,3780,144,10080,840,240,1440,216,280
,72,5600,420,720,132,24,2160,36,240,72,280,72,24,24,24,3780,144,144,10080,240,
12,240,48,12,12,240,48,48,12,36,12,16,4,16,4,24,420,132,24,24,320,48,8,36,280,
72,16,4,16,8,4,4,240,48,12,24,12,16,4,8,4,8,4,144,240,12,12,12,48,8,12,12,36,
12,12,4,4,24,8,4,48,24,8,16,4,4,4,12,12,16,4,48,12,4,4,4,4,4,12,8,8,4,4,12,4,4
,4],[7207200,60480,4320,50400,1260,72,144,30240,280,720,1440,72,280,72,3360,
700,432,60,24,24,720,108,720,24,280,72,24,24,24,420,48,24,36,12,280,16,4,720,
16,36,4,144,144,16,36,60,4,16,4,16,4,24,420,36,8,12,4,8,16,24,16,36,280,24,8,4
,16,8,4,4,24,144,36,8,4,16,4,8,4,8,4,12,16,4,4,4,8,8,36,4,36,36,4,4,4,24,8,4,
12,4,4,8,4,4,4,36,4,16,4,8,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4],[7207200,60480,4320,
50400,1260,72,144,10080,840,240,1440,216,280,72,3360,700,432,60,24,24,720,108,
240,72,280,72,24,24,24,420,48,24,36,12,60,18,12,240,48,12,12,144,48,48,12,60,
12,16,4,16,4,24,420,36,8,12,4,8,16,24,16,36,20,4,6,4,16,8,4,4,12,48,12,24,12,
16,4,8,4,8,4,12,6,12,6,6,8,8,12,12,36,12,12,4,4,4,8,4,12,4,4,2,4,2,2,12,12,2,2
,6,6,4,4,4,4,4,6,4,2,2,4,6,2,2,2],[7207200,10080,1440,3680,126000,1890,72,90,
10080,96,96,32,80,72,80,240,30,488,18,6,60,6,18,24,120,224,20,18,6,2,96,8,80,8
,8,1680,30,24,36,12,10080,120,18,6,120,18,6,8,2,2,24,24,8,6,8,6,6,4,24,6,2,6,6
,2,2,8,6,2,8,2,2,8,6,48,6,8,12,4,6,32,8,12,2,6,6,2,80,8,6,2,8,2,4,6,2,2,96,24,
4,2,6,6,2,8,2,2,4,2,2,2,4,2,12,120,18,6,6,6,6,4,8,2,6,2,6,6,2,2,2,2,2,8,2,4,2,
6,4,2,8,6,2,2,2,2,6,2,8,2,2,24,6,6,2,2,2,2,2,6,2,2,4,2,2,6,2,2,2],[7207200,
10080,1440,3680,25200,1890,36,198,10080,96,96,32,80,72,80,240,30,168,18,10,60,
6,36,12,120,32,20,18,6,8,96,8,80,8,8,36,54,36,36,9,18,120,9,15,120,18,6,8,2,2,
24,24,8,6,8,6,6,4,8,6,2,6,6,2,4,8,6,2,8,2,2,8,6,6,12,12,3,6,6,10,4,6,4,4,3,1,6
,2,1,8,3,5,8,2,4,6,2,2,3,24,4,2,6,6,2,8,2,2,4,2,2,2,4,2,9,9,9,3,6,3,6,3,2,2,2,
1,6,2,6,6,2,2,2,2,2,1,2,4,2,3,3,1,3,3,1,1,2,2,1,6,2,1,1,1,1,3,3,3,3,2,2,2,2,2,
3,1,1,1,1,1,2,3,1,1,1],[7207200,40320,1440,75600,1260,36,10080,240,480,144,32,
3360,420,144,12,720,144,36,36,240,32,16,1260,36,36,360,36,36,48,24,48,48,12,12
,16,16,16,420,12,60,36,12,12,36,36,36,24,48,12,16,8,36,24,4,36,36,36,12,12,12,
12,12,12,8,36,12,12,12,4,4,12,12,36,12,12,4,4,4,12,4,4,4],[7207200,33600,3040,
75600,1260,36,320,160,160,96,32,3360,420,40,240,20,480,304,40,12,12,4,32,16,32
,1260,36,36,16,16,24,32,4,4,40,16,32,4,4,48,16,8,4,24,16,16,420,20,40,60,60,12
,4,4,20,12,12,12,4,8,8,8,8,4,16,36,4,40,24,8,4,12,4,4,8,4,4,4,4,4,8,8,4,4,8,12
,12,20,4,4,4,4,4,4,4,12,8,4,4,8,4,4,4,4,4,4,4,4,4],[7207200,73920,1920,480,
75600,1260,36,6720,480,256,32,32,5600,420,320,48,24,4,8,1440,48,12,60,24,480,
32,32,32,1260,36,36,240,24,48,4,560,48,64,16,4,4,24,4,4,16,32,420,4,8,140,24,
12,12,8,4,8,8,60,12,12,16,48,48,16,4,16,36,4,40,24,4,8,4,4,24,4,4,32,8,4,4,4,4
,12,16,12,12,4,8,8,4,4,4,4,4,12,8,4,8,4,4,4,4,4,4,4,4,4,4,4],[7207200,94080,
2080,75600,1260,36,7560,160,480,232,24,144,10080,1260,40,144,12,1200,208,40,12
,12,4,72,8,48,16,16,1260,36,36,16,48,24,16,4,4,1080,40,48,4,4,72,24,12,16,8,
1260,12,40,180,36,36,4,4,12,12,12,12,4,8,16,8,24,4,8,36,24,180,40,36,12,4,4,12
,4,4,4,4,12,12,4,8,12,36,12,4,8,12,4,4,12,4,36,12,4,12,4,4,4,4,12,4,4,4,4,4],[
7207200,73920,960,1440,75600,1260,36,6720,240,480,64,96,32,144,5600,420,160,60
,96,12,12,4,4,1440,48,60,12,60,12,480,16,48,48,16,1260,36,36,240,24,48,4,560,
16,60,48,24,24,8,4,12,4,4,4,4,16,16,420,12,4,4,60,140,12,12,12,12,12,8,4,4,4,
60,12,12,16,8,48,8,48,4,8,36,24,40,60,12,4,12,4,4,4,4,24,4,4,32,4,4,8,4,4,12,8
,12,12,12,4,4,8,8,12,4,4,4,4,12,12,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4],[7207200,
40320,320,2400,50400,1260,72,144,280,240,480,64,32,32,120,72,3360,420,60,144,4
,12,240,60,84,20,8,16,16,16,24,24,420,48,24,36,12,280,16,4,16,4,12,4,8,60,48,
12,12,16,4,4,4,4,12,4,8,420,12,60,4,24,12,4,4,12,8,16,24,4,4,4,4,4,4,8,4,12,12
,16,4,4,4,60,4,4,12,4,12,4,12,4,4,8,4,12,4,4,4,4,8,4,12,4,4,4,4,4,4,4,4,4,4,4]
,[7207200,60480,2400,151200,3780,144,10080,2520,400,800,216,72,4480,420,192,12
,2880,96,108,400,72,72,3780,144,144,10080,240,12,240,288,12,32,16,240,64,64,48
,16,12,12,16,72,420,12,340,12,48,16,108,400,16,16,64,12,16,16,16,144,240,12,12
,12,20,12,4,4,12,12,12,48,4,4,72,16,48,16,12,64,12,4,4,4,4,16,4,12,8,4,16,12,4
,4],[7207200,40320,960,1760,151200,3780,144,10080,320,480,64,160,32,32,3360,
420,20,144,12,12,1680,128,20,12,12,8,240,64,16,32,16,3780,144,144,10080,240,12
,240,12,32,4,4,20,48,48,4,4,4,12,4,4,12,12,16,420,12,20,240,12,48,8,8,12,8,240
,64,4,4,48,4,12,4,4,4,4,144,240,12,12,12,20,12,4,4,12,12,12,4,4,8,16,4,48,8,12
,48,4,4,12,4,4,4,4,4,12,8,4,4,12,4,4],[7207200,100800,1760,50400,1260,72,144,
12880,1760,240,6720,420,160,12,960,32,80,84,8,1760,240,420,48,24,36,12,280,16,
4,160,4,32,24,960,160,32,32,12,4,240,420,12,60,4,16,24,12,4,12,8,80,24,8,32,
160,32,32,4,12,16,4,4,4,60,4,4,12,4,12,4,12,4,8,24,32,12,4,4,16,8,4,4,12,4,4,8
,4,4,4,4,8,4,4,4],[7207200,20160,1920,1120,126000,1890,72,90,10080,160,160,128
,224,32,32,70,320,30,32,18,6,2,6,720,304,10,18,54,6,4,80,128,16,32,16,1680,30,
24,36,12,10080,120,18,6,120,18,6,16,40,2,2,32,10,8,56,8,16,6,2,6,6,2,2,2,2,6,6
,16,6,6,32,2,10,12,2,2,4,2,6,48,6,4,80,128,8,2,8,2,32,8,16,8,2,2,6,2,2,2,6,12,
120,18,6,6,6,6,2,2,2,2,2,6,6,6,2,2,2,8,2,4,16,8,2,6,4,2,6,32,6,2,2,6,2,2,2,2,2
,8,2,2,2,6,2,2,8,2,6,2,2,2],[7207200,53760,1920,3360,75600,1260,36,840,1120,
256,216,32,16,4480,420,320,480,24,76,8,12,960,48,12,36,24,72,32,16,8,8,1260,36
,36,48,12,16,4,40,160,64,24,56,16,4,4,24,28,4,12,20,4,16,4,4,8,420,76,8,12,12,
100,24,12,12,4,4,8,8,36,12,12,4,4,16,4,24,8,12,4,4,16,4,8,4,8,36,24,8,24,8,4,4
,4,4,12,28,4,20,12,12,4,4,4,4,4,4,4,4,4,4,4,4,8,12,12,4,8,12,4,12,4,4,4,4,4,4,
4,4,4,4,4,4,4,8,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4],[7207200,3360,1440,4640,
75600,1260,36,80,32,32,64,80,72,32,280,8,240,50,552,18,6,80,6,12,120,128,50,12
,12,18,2,8,8,24,8,4,4,8,1260,36,36,8,8,2,2,2,2,8,16,8,16,2,12,24,16,2,4,2,8,8,
4,8,2,2,2,12,12,2,40,2,8,16,4,2,2,4,6,80,6,12,12,50,18,24,6,6,2,2,8,6,6,12,12,
12,2,8,2,8,2,4,4,2,2,2,2,2,4,2,8,2,2,2,2,4,8,4,2,2,36,8,12,4,4,2,2,2,2,4,4,2,4
,2,2,2,12,12,12,2,2,2,2,2,2,2,2,2,4,2,4,2,2,4,2,4,4,2,2,4,2,12,6,8,6,12,2,2,2,
2,2,2,2,2,2,2,2,2,2,4,2,4,2,2,4,2,2,2,2,2,4,4,12,2,4,2,4,2,2,2,2,2,2,2,2,2,2,4
,2,2,2,2],[7207200,53760,5280,75600,1260,36,840,160,1120,360,72,560,4480,420,
672,92,12,960,240,12,36,72,24,80,48,80,1260,36,36,48,12,16,16,40,160,32,72,72,
8,28,24,12,20,80,32,8,24,420,92,12,12,100,60,12,4,20,36,12,12,16,16,24,8,8,8,
12,8,16,16,16,8,8,36,24,16,24,12,4,4,12,28,8,20,12,12,4,4,4,8,8,4,8,8,8,8,8,12
,12,20,12,4,12,4,4,4,4,4,4,8,8,4,8,4,4,12,8,12,4,8,4,8,4,4,4,4,4,4,4,8,4,4],[
7207200,33600,1920,480,75600,1260,36,160,256,32,560,144,3360,420,320,48,24,4,8
,480,48,12,12,24,32,80,16,1260,36,36,16,4,16,64,16,4,4,24,4,4,80,16,32,8,16,
420,4,8,60,24,12,12,4,8,8,12,12,12,16,4,16,8,8,36,24,24,8,4,4,4,4,4,4,4,4,4,8,
8,8,8,12,12,4,8,4,4,4,4,4,8,4,8,4,4,4,4,4,4,4,4],[7207200,33600,960,1440,75600
,1260,36,240,160,64,96,32,560,32,3360,420,160,60,96,12,12,4,4,480,48,60,12,12,
12,16,80,32,1260,36,36,16,4,16,60,16,24,24,8,4,12,4,4,4,4,80,16,32,8,16,420,12
,4,4,60,60,12,12,12,12,12,4,4,4,12,12,12,8,4,16,16,8,36,4,60,12,4,12,4,4,4,4,4
,4,4,4,4,4,8,8,8,8,12,12,12,4,4,4,4,4,4,4,12,4,4,8,4,4,4,4,4,4,4,4],[7207200,
33600,2400,75600,1260,36,160,160,144,72,160,3360,420,240,20,480,240,12,12,24,8
,16,1260,36,36,16,16,16,32,48,16,8,4,24,4,16,16,4,4,8,420,20,60,60,12,20,12,12
,12,8,8,4,8,8,36,24,24,8,12,4,8,4,8,8,4,4,4,4,4,8,12,12,20,4,4,4,4,4,12,8,4,4,
8,4,4,4,4,4,4],[7207200,94080,1440,75600,1260,36,7560,480,216,16,32,10080,1260
,144,12,1200,144,12,12,72,32,8,1260,36,36,48,1080,48,72,24,12,4,16,16,4,4,8,
1260,12,180,36,36,12,12,12,12,24,4,16,8,36,4,180,36,12,12,12,12,4,4,4,4,8,12,
36,12,4,4,12,4,36,12,4,12,4,4,12,4,4,4],[7207200,33600,1920,2400,75600,1260,36
,160,160,256,144,72,32,840,24,3360,420,320,240,24,20,8,480,240,12,12,24,32,24,
48,8,8,1260,36,36,16,16,4,16,32,64,48,16,16,4,4,24,8,4,24,4,24,24,8,420,20,8,
60,24,60,12,20,8,8,12,12,12,16,4,8,8,16,8,8,36,420,4,24,24,8,8,4,12,4,4,8,4,4,
4,4,8,4,8,4,8,12,12,20,8,24,4,4,4,4,4,4,12,8,8,4,12,4,4,8,4,4,8,4,4,4,4,4],[
7207200,94080,1920,1440,75600,1260,36,7560,480,256,216,32,48,10080,1260,320,
144,24,12,8,1200,144,12,12,24,72,32,48,8,8,1260,36,36,48,4,1080,48,64,72,24,16
,4,4,24,12,4,48,8,1260,12,8,180,24,36,36,12,8,8,12,12,12,16,4,24,48,8,8,36,8,
180,24,36,12,8,4,4,12,4,12,4,4,4,12,8,12,36,12,8,8,4,4,12,4,4,36,8,12,4,8,12,4
,4,8,4,12,4,4,4],[7207200,33600,960,3360,75600,1260,36,400,160,64,96,32,144,72
,48,3360,420,160,60,288,12,12,20,4,480,240,60,12,12,12,16,24,16,8,8,1260,36,36
,16,16,4,16,60,16,56,24,8,48,16,4,12,4,4,8,4,24,4,48,8,420,12,20,4,60,60,12,60
,12,12,12,20,4,4,12,12,12,8,4,8,8,16,8,8,36,8,60,12,4,24,8,12,4,4,4,12,4,8,4,4
,4,4,4,8,8,4,8,12,12,12,20,4,8,4,4,4,4,4,4,12,12,4,4,8,8,4,8,4,4,8,4,4,4,4,4],
[7207200,94080,960,2400,75600,1260,36,7560,240,480,64,96,32,216,840,24,10080,
1260,160,60,192,12,12,12,4,1200,144,60,12,12,12,16,72,120,24,24,8,8,1260,36,36
,48,4,1080,16,60,48,24,24,8,72,24,4,12,4,4,12,4,24,24,8,1260,12,12,4,60,180,12
,36,12,12,36,12,4,4,12,12,12,8,4,24,24,24,8,8,8,36,420,4,180,60,12,4,36,12,12,
4,4,4,12,4,4,4,12,4,12,8,12,36,12,12,4,60,12,4,4,4,4,12,4,36,12,4,4,12,12,4,12
,4,4,12,4,4,4,12,4,4,4],[7207200,73920,1120,75600,1260,36,6720,160,480,16,24,
840,24,5600,420,40,48,4,1440,112,40,12,60,4,480,8,80,16,8,1260,36,36,240,16,24
,48,24,16,4,4,560,40,48,4,4,4,24,24,8,420,4,40,140,12,12,8,4,4,4,60,12,12,4,48
,8,48,4,16,8,8,36,420,4,40,40,4,4,24,4,4,4,32,4,4,4,8,4,12,4,8,12,12,4,8,4,40,
4,4,4,4,12,4,12,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4],[7207200,53760,3360,75600,1260,
36,840,1120,216,840,168,4480,420,480,76,12,960,48,12,36,72,56,48,1260,36,36,48
,12,16,40,160,24,56,28,12,20,16,24,24,24,420,76,12,12,100,12,12,4,4,36,12,12,
24,8,12,16,8,8,8,36,420,28,8,24,4,4,12,28,20,12,12,4,4,4,4,8,12,12,4,12,4,12,
28,12,4,4,12,4,12,4,4,4,4,4,12,4,4,4,4,4,4],[7207200,53760,3360,75600,1260,36,
840,1120,216,48,32,4480,420,480,76,12,960,48,12,36,72,32,8,1260,36,36,48,12,16
,40,160,24,56,28,12,20,16,48,8,420,76,12,12,100,12,12,4,4,36,12,12,24,8,12,16,
8,36,8,4,8,24,4,4,12,28,20,12,12,4,4,4,4,8,12,12,4,12,4,12,4,4,4,4,8,12,4,4,4,
4,4,4,4,4,4,4],[7207200,33600,480,75600,1260,36,160,1400,40,3360,420,48,4,480,
48,12,12,80,8,8,1260,36,36,16,16,4,80,4,40,56,8,4,4,8,420,4,60,12,12,4,12,12,
12,16,4,8,8,8,36,420,4,4,4,4,4,4,8,4,8,8,4,8,12,12,4,4,4,4,4,4,12,4,8,4,4,4,4,
4,4,4],[7207200,33600,1120,75600,1260,36,160,160,16,24,560,48,3360,420,40,48,4
,480,112,40,12,12,4,8,80,8,1260,36,36,16,16,24,16,4,4,40,16,4,4,4,80,48,32,8,8
,420,4,40,60,12,12,4,4,4,12,12,12,4,8,4,16,8,8,36,8,40,4,4,4,4,4,4,4,4,4,4,8,8
,8,8,12,12,4,4,4,4,4,4,4,8,4,8,4,4,4,4,4,4,4,4],[7207200,73920,480,75600,1260,
36,6720,480,64,5600,420,48,4,1440,48,12,60,480,16,1260,36,36,240,24,48,560,48,
4,4,64,4,4,16,420,4,140,12,12,8,4,60,12,12,48,48,4,16,36,8,40,4,24,4,32,8,4,12
,4,4,4,4,16,12,12,4,8,4,4,4,12,4,8,8,4,4,4,4,4,4,4,4,4],[7207200,60480,4320,
75600,1260,36,10080,840,240,1440,216,280,72,4480,420,576,84,12,1200,144,36,60,
240,72,280,72,24,24,24,1260,36,36,360,36,48,36,12,48,24,40,192,48,24,56,12,36,
12,20,40,24,12,12,16,4,24,420,84,12,12,100,36,12,4,12,60,36,36,40,8,8,24,8,12,
12,4,24,48,12,24,8,12,16,4,8,4,8,4,8,36,8,24,4,4,36,36,36,12,36,12,20,12,12,4,
4,12,12,12,12,4,4,12,12,12,4,8,4,8,36,12,12,12,4,12,12,4,4,4,4,4,4,12,12,4,4,4
,4,12,12,12,4,4,4,4,36,12,12,4,4,12,12,4,4,4,4,4,12,12,4,4,4,4,4,4],[7207200,
10080,1440,3680,75600,1260,36,10080,96,96,32,80,72,80,240,50,456,18,6,72,6,12,
360,32,50,36,36,18,2,96,8,80,8,8,1260,36,36,360,36,36,8,2,2,6,6,24,24,8,2,12,
24,6,6,4,4,8,6,2,6,12,12,2,2,24,12,12,8,2,2,8,6,72,6,12,12,50,18,6,6,2,2,6,6,
36,36,36,2,2,24,2,2,2,4,12,12,2,6,24,4,2,2,6,6,2,8,2,2,4,2,2,2,4,2,2,36,4,12,2
,2,2,2,36,36,36,2,6,6,2,12,12,12,2,2,2,2,6,6,6,6,6,6,2,2,2,12,12,12,2,2,4,2,2,
36,6,6,12,2,6,2,2,2,2,2,2,2,2,2,2,6,6,6,2,2,2,12,12,12,2,2,2,2,2,2,2,36,12,12,
2,2,6,6,2,2,2,2,2,2,12,6,2,2,2,2,2,2],[7207200,3360,480,480,2520,252,32,240,16
,12,4,120,84,24,24,240,16,16,108,36,8,4,16,4,12,12,4,36,12,60,36,12,4,4,4,4,12
,12,4,12,4,4,4,4,12,4],[7207200,80640,3360,151200,3780,144,10080,2520,80,1120,
216,840,72,10640,1680,600,120,24,1560,48,60,80,72,840,72,24,24,24,3780,144,144
,10080,240,12,240,72,12,16,8,120,200,8,24,32,48,4,120,16,4,24,24,1680,120,24,
24,230,6,48,8,60,840,120,72,16,4,120,8,8,16,4,4,80,8,8,8,12,8,24,4,4,8,144,240
,12,12,12,4,36,8,12,48,4,6,2,2,6,4,24,8,4,8,48,24,8,120,16,4,4,4,24,6,8,2,2,8,
2,6,2,4,2,2,12,8,4,2,8,2,6,4,2,2],[7207200,10080,480,4000,126000,1890,72,90,
10080,32,32,32,96,72,96,80,60,536,24,60,18,24,120,160,10,18,6,6,4,32,8,96,8,8,
1680,30,24,36,12,10080,120,18,6,120,18,6,24,2,2,8,8,8,6,6,8,4,24,6,2,4,6,8,6,2
,24,8,24,48,8,12,4,6,32,2,6,2,2,6,6,4,96,6,8,6,2,6,8,2,2,4,6,2,32,2,2,8,4,2,24
,4,4,2,12,120,18,6,6,6,6,2,2,8,2,6,2,4,6,2,2,6,2,2,8,4,2,6,4,2,6,8,6,2,2,2,2,
24,6,8,2,2,2,2,6,2,2,2,2,6,2,4,2,2,2,6,2,2,2],[7207200,10080,480,4000,100800,
630,36,225,10080,32,32,32,96,72,96,60,384,25,36,1,39,12,64,10,9,18,6,7,32,8,96
,8,8,9,72,36,36,9,18,10080,9,18,9,18,3,2,2,6,6,4,16,1,1,1,3,6,5,6,3,6,3,8,24,
12,12,3,6,3,12,1,3,1,4,4,3,1,9,4,96,6,3,6,6,2,2,3,6,1,32,2,2,2,1,1,3,1,1,2,9,9
,9,9,9,18,1,1,2,2,1,9,3,4,3,1,1,3,3,2,8,1,2,3,3,1,6,3,3,3,3,6,3,3,3,1,1,1,1,2,
1,3,1,3,1,1,9,1,1,1,1,2,1,3,3,1,1],[7207200,40320,4000,50400,1260,72,144,2800,
320,160,144,72,840,72,1680,120,344,24,48,24,24,600,112,40,12,4,160,24,160,48,
24,420,48,24,36,12,280,16,4,88,4,16,8,120,8,56,12,24,16,12,16,4,120,16,4,24,24
,24,24,8,12,4,8,30,14,8,12,2,6,12,4,40,24,8,8,4,32,8,12,4,40,4,16,8,8,4,4,4,24
,8,12,16,4,4,4,4,4,4,2,4,12,4,6,2,2,6,4,12,4,4,8,6,4,2,8,8,4,4,4,2,4,8,2,2,4,6
,2,2,4,2,2,4,2,4,2,4,2,2,4,2,2],[7207200,10080,1120,3360,50400,1260,72,144,280
,240,32,32,32,24,32,96,30,288,38,48,12,24,24,240,30,12,22,4,8,8,24,8,12,4,8,
420,48,24,36,12,280,16,4,16,4,6,2,2,48,6,2,8,2,4,4,12,4,6,16,4,6,4,24,12,8,12,
4,8,30,14,8,2,6,12,4,24,8,2,8,4,6,8,2,2,2,4,8,2,2,2,2,2,2,2,6,2,12,16,4,4,4,4,
4,4,2,4,12,4,6,2,2,6,4,4,2,2,2,6,4,2,2,8,4,4,4,2,2,2,2,2,2,6,2,2,4,2,2,4,2,2,2
,2,2,2,4,2,2],[7207200,80640,3360,126000,1890,72,90,10080,2520,80,1120,216,840
,72,10080,1750,432,62,18,24,720,48,18,90,80,72,840,72,24,24,24,1680,30,24,36,
12,10080,120,18,6,120,18,6,18,16,8,120,144,24,8,2,62,6,6,120,8,6,2,6,24,1680,
48,8,12,4,6,10,18,2,16,48,6,840,120,72,8,6,2,120,8,8,8,6,2,2,80,8,8,2,8,6,6,2,
2,8,12,120,18,6,6,6,6,2,8,6,6,48,2,6,2,2,6,2,24,8,2,8,12,4,4,120,8,6,2,2,2,2,6
,6,2,2,2,8,2,6,2,2,2,2,6,4,2,2,8,2,6,2,2,2],[7207200,10080,480,4000,151200,
3780,144,10080,32,32,32,96,72,96,70,672,6,24,120,24,240,64,70,12,6,4,32,8,96,8
,8,3780,144,144,10080,240,12,240,12,6,2,2,6,12,16,2,2,4,4,16,4,4,6,16,4,6,8,24
,120,24,24,70,6,24,24,4,4,12,4,96,6,16,4,6,16,2,2,2,4,32,2,2,2,2,2,6,2,2,2,144
,240,12,12,12,4,12,4,4,12,4,4,6,2,2,6,4,2,8,2,2,24,24,4,6,16,4,4,4,6,6,2,2,2,2
,2,6,2,4,2,2,12,4,2,2,2,2,6,4,2,2],[7207200,100800,480,151200,3780,144,10080,
8400,80,480,1120,12880,1680,24,2040,48,84,80,480,1120,80,80,3780,144,144,10080
,240,12,240,264,12,12,48,8,840,24,8,120,40,4,80,1680,310,6,48,16,84,1120,120,
120,8,80,8,48,8,8,24,40,4,8,8,8,8,144,240,12,12,12,80,12,12,42,2,6,6,4,80,8,8,
48,16,120,40,4,6,8,2,8,6,2,2,6,4,2,2,12,8,8,8,2,6,4,2,2],[7207200,20160,1760,
126000,1890,72,90,10080,240,160,32,24,32,70,60,128,24,2,720,176,20,18,54,2,80,
8,32,8,8,1680,30,24,36,12,10080,120,18,6,120,18,6,32,16,24,24,2,2,20,32,6,2,2,
2,6,32,2,2,8,24,32,8,10,6,2,4,2,6,48,6,2,32,6,6,2,80,8,8,8,2,2,32,2,8,2,2,2,8,
12,120,18,6,6,6,6,8,6,2,6,2,2,8,2,2,6,2,8,2,8,6,4,2,6,32,2,2,6,2,2,8,6,2,2,2,2
,2,2,6,2,2,8,2,6,2,2,2],[7207200,70560,480,480,126000,1890,72,90,10080,2520,96
,32,56,840,8,10080,1680,80,40,120,96,30,18,42,6,6,32,24,840,8,8,8,8,1680,30,24
,36,12,10080,120,18,6,120,18,6,8,18,14,2,6,2,120,32,8,8,24,120,8,6,2,2,8,1680,
16,10,18,2,12,4,6,6,840,120,8,120,8,32,2,2,6,8,8,8,6,2,2,2,2,8,8,2,12,120,18,6
,6,6,6,16,6,2,2,2,6,2,6,6,2,8,8,2,12,4,120,8,6,2,2,6,8,2,2,2,6,2,2,2,2,2,6,4,8
,2,2,6,2,2,2],[7207200,60480,1120,50400,1260,72,144,30240,2800,240,480,1120,
1680,280,120,56,24,1080,112,40,36,4,240,160,1120,80,80,420,48,24,36,12,280,16,
4,720,88,36,4,48,24,120,40,24,24,120,40,4,80,24,30,14,8,16,12,4,2,6,36,4,280,
40,8,120,8,40,4,16,24,24,8,40,4,8,8,8,8,12,16,4,4,4,8,36,4,6,6,6,4,6,4,40,8,8,
6,4,2,8,16,4,2,4,8,2,4,6,2,6,2,4,2,2,4,2,8,4,2,2,4,2,2],[7207200,30240,480,
1120,151200,3780,144,10080,840,96,32,72,280,24,2240,70,96,6,24,720,64,70,36,6,
4,32,24,280,24,8,8,8,3780,144,144,10080,240,12,240,48,12,12,18,6,2,18,16,2,6,6
,16,4,6,8,24,70,80,6,24,24,8,4,4,36,4,280,24,6,6,2,32,2,2,6,6,2,16,4,6,2,2,2,2
,2,144,240,12,12,12,4,12,12,18,6,2,4,6,4,8,2,2,24,8,4,6,16,4,6,6,2,2,2,6,2,2,6
,4,2,2,12,4,2,2,2,6,4,2,2],[7207200,30240,1120,480,50400,1260,72,144,30240,280
,96,96,24,280,24,280,30,38,12,720,30,36,22,4,96,8,280,24,8,8,8,420,48,24,36,12
,280,16,4,720,16,36,4,6,6,6,6,6,6,8,6,16,4,6,8,12,30,14,16,4,8,2,6,36,4,280,8,
2,6,2,8,2,6,2,2,6,16,4,6,2,2,2,2,2,12,16,4,4,4,2,36,4,6,6,6,2,6,4,8,2,2,6,4,2,
2,16,4,2,2,2,2,2,6,2,6,2,4,2,2,4,2,2,2,2,2,4,2,2],[7207200,60480,3680,75600,
1260,36,2520,320,800,264,72,96,5040,420,80,360,12,44,6,1080,128,80,36,2,72,24,
32,16,16,1260,36,36,72,32,8,12,240,80,104,24,12,12,56,40,12,8,8,2,8,24,8,420,
12,44,6,6,80,120,24,12,12,12,6,2,2,8,36,2,4,4,12,16,4,12,8,8,8,36,16,20,80,12,
12,12,12,16,2,2,2,4,2,12,8,2,12,12,8,2,2,4,12,12,8,6,6,2,8,8,4,12,4,4,2,12,4,4
,4,2,2,2,2,2,4,2,4,4,2,2,2,2,2,2,2],[7207200,60480,960,2720,75600,1260,36,2520
,80,800,64,96,32,216,840,72,5040,420,160,20,312,12,44,4,6,1080,128,20,36,12,2,
16,72,40,24,24,8,24,1260,36,36,72,32,8,4,240,32,20,104,24,8,48,40,4,12,4,4,12,
2,8,8,24,8,420,44,4,6,6,20,120,12,24,12,6,2,2,8,4,4,36,2,8,4,8,4,12,16,4,4,8,
36,420,12,20,20,12,4,12,12,16,2,4,2,2,4,2,12,2,8,12,2,4,8,2,4,12,8,4,6,6,2,20,
12,4,4,12,2,4,4,4,4,4,12,4,2,2,2,2,2,4,2,4,4,2,2,2,2,2,2,2],[7207200,120960,
960,1760,75600,1260,36,15120,80,1440,64,96,32,96,11760,1260,160,20,216,12,36,4
,6,1800,32,20,36,12,2,1440,16,32,48,16,1260,36,36,216,8,4,1800,32,20,216,24,8,
4,12,4,4,36,2,8,24,16,1260,36,4,6,6,20,240,12,36,6,2,2,4,4,36,2,8,8,8,216,4,8,
8,24,36,16,240,20,12,4,36,2,4,2,2,6,36,2,36,2,4,2,8,36,4,6,6,2,8,8,4,36,2,4,36
,4,4,6,2,6,2,2,2,4,4,6,2,2,2,2,2,2],[7207200,120960,2720,75600,1260,36,15120,
320,1440,48,72,840,72,11760,1260,80,264,12,36,6,1800,32,80,36,2,1440,24,160,48
,24,1260,36,36,216,8,12,1800,80,216,24,12,12,8,36,8,2,8,24,24,1260,12,36,6,6,
80,240,12,12,36,6,2,2,36,2,8,4,216,4,12,4,4,24,36,420,12,240,80,12,12,36,2,2,2
,6,36,2,12,36,2,2,4,36,12,6,6,2,80,12,12,36,12,2,36,12,12,6,2,6,2,2,2,12,12,6,
2,2,2,2,2,2],[7207200,40320,1280,2720,50400,630,18,36,160,480,192,96,72,32,840
,72,3360,490,60,208,28,12,18,6,6,6,240,128,20,30,20,2,2,32,24,32,8,24,420,12,6
,9,3,16,6,6,20,48,16,18,6,32,10,6,20,18,16,2,2,2,6,8,420,12,12,6,2,3,1,2,16,16
,4,4,6,6,4,4,1,3,1,3,12,2,2,2,2,6,8,6,2,2,6,3,420,12,16,16,4,6,2,4,4,4,2,1,2,2
,1,12,2,2,4,4,2,2,2,2,3,3,3,1,1,1,1,16,4,12,4,4,2,2,3,3,3,1,1,1,1,1,1,1,1,4,3,
1,1,1,1,1,1,1],[7207200,2400,2520,252,72,240,120,12,24,6,120,6,12,240,12,108,
36,12,2,12,12,2,12,6,6,60,36,12,2,2,6,12,2,6,2,12,2,2,2,12,2],[7207200,2400,
108,144,72,240,24,8,4,12,12,240,12,12,36,3,4,12,12,4,6,2,1,3,3,12,2,2,1,3,1,1,
2,12,2,1,2,3,1],[7207200,2400,108,144,72,240,24,8,4,12,12,240,12,12,36,3,4,12,
12,4,6,2,1,3,3,12,2,2,1,3,1,1,2,12,2,1,2,3,1],[7207200,2400,108,144,72,16,24,8
,4,12,4,16,4,12,36,3,4,4,12,4,6,2,1,1,3,4,2,2,1,3,1,1,2,4,2,1,2,1,1],[7207200,
2400,108,144,72,16,24,8,4,12,4,16,4,12,36,3,4,4,12,4,6,2,1,1,3,4,2,2,1,3,1,1,2
,4,2,1,2,1,1],[7207200,2400,108,144,72,16,48,4,4,12,4,16,4,48,9,3,4,4,48,1,3,4
,1,1,3,1,4,1,1,3,1,1,1,1,1,1,1,1,1],[7207200,2400,108,144,72,16,48,4,4,12,4,16
,4,48,9,3,4,4,48,1,3,4,1,1,3,1,4,1,1,3,1,1,1,1,1,1,1,1,1],[7207200,2400,25200,
36,36,72,240,96,12,2,4,48,6,12,240,12,12,9,3,8,2,24,12,12,1,3,3,2,1,4,24,4,3,
12,2,1,4,3,1,2,12,2,1,3,2,1,3,1,1],[7207200,10080,1440,2400,108,144,10080,96,
96,32,48,72,48,24,12,8,4,36,12,96,8,48,8,8,12,36,3,27,9,36,6,12,2,12,2,4,2,6,8
,12,12,4,6,2,1,12,3,1,1,2,2,3,12,2,6,2,2,3,9,3,2,2,2,12,12,12,2,2,1,2,3,1,1,1,
12,3,1,3,2,2,2,2,3,1,1,2,3,1,1,1],[7207200,10080,1440,2400,108,144,10080,96,96
,32,48,72,48,24,12,8,4,36,12,96,8,48,8,8,12,36,3,27,9,36,6,12,2,12,2,4,2,6,8,
12,12,4,6,2,1,12,3,1,1,2,2,3,12,2,6,2,2,3,9,3,2,2,2,12,12,12,2,2,1,2,3,1,1,1,
12,3,1,3,2,2,2,2,3,1,1,2,3,1,1,1],[7207200,10080,1440,2400,630,90,10080,96,96,
32,48,72,48,60,12,12,12,4,30,90,18,18,6,96,8,48,8,8,36,9,90,18,6,6,6,6,6,4,12,
2,12,4,2,2,6,4,2,6,8,12,12,1,3,3,3,4,36,9,6,2,2,4,2,2,6,2,12,2,6,2,2,2,9,1,1,2
,2,36,9,12,12,1,3,3,3,4,3,4,1,2,2,9,3,3,1,3,12,2,1,2,1,2,3,4,3,1,1,1,9,3,3,1,3
,1,3,1,1,2,1,3,3,1,1,1,1,1,1],[6486480,45360,5040,336,226800,45360,168,336,336
,504,168,5040,5040,1680,336,168,336,168,168,168,168,5040,336,336,45360,168,336
,168,168,168,168,168,336,168,336,168,168,168,168,168,168,168,168,168,5040,168,
168,336,168,168],[6486480,63504,720,4368,226800,45360,1008,720,1488,144,336,48
,48,432,144,5040,5040,240,432,2160,48,720,48,48,48,48,48,48,144,48,144,144,144
,5040,48,144,48,144,45360,288,48,48,144,48,144,96,144,48,48,48,48,48,48,48,48,
48,144,48,720,48,48,96,48,48,48,48,48,48,48,48,48,144,48,48,5040,48,48,48,144,
48,48,48],[6486480,57456,2160,3024,226800,54432,720,864,1008,144,432,288,96,48
,5040,5040,720,288,1440,144,864,288,96,96,720,144,48,48,48,48,5040,144,96,144,
96,45360,1080,48,24,144,144,48,96,72,72,24,720,96,48,48,48,72,48,24,144,48,48,
72,96,24,24,480,144,24,72,72,24,24,24,48,48,24,72,24,24,24,24,48,360,48,24,24,
5040,24,24,144,96,72,48,24,24],[6486480,51408,3600,1680,226800,45360,48,272,
496,48,336,432,80,144,112,5040,5040,1200,144,720,240,240,240,16,48,16,48,48,80
,48,48,48,80,16,48,5040,240,48,240,48,45360,48,16,32,240,48,16,48,96,32,48,48,
48,32,16,16,32,16,48,16,32,240,16,16,48,32,32,48,240,240,16,32,16,48,16,16,16,
16,16,48,16,16,16,32,16,48,16,32,16,5040,16,16,240,48,48,16,32,16],[6486480,
114912,2160,226800,54432,10080,720,720,1200,3360,240,5040,15120,216,1800,720,
720,720,3360,240,240,240,240,5040,72,72,45360,1080,72,1080,120,72,360,24,720,
240,240,240,240,360,24,72,72,72,2520,360,24,360,72,72,24,24,24,240,72,24,24,
360,120,120,24,5040,24,120,360,72,72,24,24,24],[6486480,54432,3120,226800,
54432,720,720,720,96,96,96,16,5040,5040,360,1080,96,720,720,16,96,16,16,16,16,
5040,72,72,45360,1080,24,32,72,72,24,8,8,24,720,16,16,16,16,24,8,72,72,72,72,8
,8,360,72,8,24,8,8,16,72,8,8,360,8,8,8,5040,8,8,24,72,72,8,8,8],[6486480,
108864,1440,816,226800,45360,10080,128,720,96,144,16,16,2520,24,16,5040,15120,
480,72,1080,96,120,720,96,8,16,8,2520,120,8,24,16,120,16,8,5040,96,24,96,24,
45360,72,8,1080,96,72,24,8,8,24,8,8,8,8,120,16,8,360,8,8,96,24,8,8,2520,8,8,
120,96,8,72,8,8,24,8,8,24,8,8,120,8,8,5040,8,8,360,96,24,8,8,24,8],[6486480,
48384,1440,1776,226800,45360,128,240,96,96,144,16,96,16,840,72,240,5040,5040,
480,216,360,192,120,96,8,16,16,8,72,8,24,8,16,240,120,8,5040,96,24,96,24,45360
,24,8,96,32,24,24,8,24,8,360,24,8,120,8,8,16,8,8,24,24,8,96,24,8,8,72,24,8,120
,96,8,8,8,24,8,8,8,24,8,8,8,120,8,5040,8,8,24,96,24,8,24,8,8],[6486480,54432,
3120,226800,45360,252,440,720,180,72,96,16,5040,5040,360,1080,96,360,36,48,72,
8,8,12,8,16,12,8,5040,72,72,45360,72,8,72,24,24,24,8,8,24,36,8,4,4,12,8,4,24,8
,12,72,12,72,4,4,360,12,4,8,8,8,4,12,8,4,36,12,8,4,5040,4,4,24,72,12,8,4,4],[
6486480,54432,3120,1890,9072,1260,600,720,132,72,2520,24,240,5040,630,180,18,
60,54,360,36,48,120,24,24,12,24,240,120,12,5040,72,72,1260,54,6,60,18,6,18,18,
18,6,36,120,12,12,24,12,12,360,24,72,72,72,120,18,6,36,18,6,6,6,6,12,72,24,24,
36,12,12,6,630,24,12,60,18,18,6,6,6],[6486480,48384,1440,1776,226800,45360,128
,240,96,96,144,16,96,16,96,16,5040,5040,480,216,360,192,120,96,8,16,16,8,72,8,
4,4,8,8,16,16,5040,96,24,96,24,45360,24,8,96,32,24,24,8,24,8,8,24,8,8,8,4,4,8,
8,24,8,8,96,24,8,8,72,4,4,120,96,8,8,4,8,4,4,8,8,8,8,8,8,4,5040,4,4,24,96,24,8
,8,8,4],[6486480,54432,3120,226800,45360,252,440,720,180,72,840,72,240,5040,
5040,360,1080,96,360,36,48,40,72,24,12,24,240,120,12,5040,72,72,45360,72,8,72,
24,24,24,8,360,24,36,120,12,12,24,12,12,24,24,12,72,12,72,24,8,360,12,4,4,24,4
,12,12,24,4,36,12,120,4,5040,4,12,24,72,12,24,4,4],[6486480,54432,960,2160,
1890,1512,720,96,128,216,16,96,240,5040,630,36,18,54,12,48,72,16,32,16,8,240,
24,5040,72,72,1260,18,2,6,2,12,18,6,18,6,24,24,8,16,8,24,24,12,72,12,24,6,2,36
,2,6,2,6,2,8,12,24,4,12,4,12,2,630,4,4,12,18,6,6,2,2],[6486480,45360,720,48,
226800,45360,48,48,24,24,5040,5040,240,48,48,24,24,24,24,24,24,5040,48,48,
45360,48,24,24,24,24,24,48,24,24,48,24,24,24,24,24,24,24,24,24,5040,24,24,48,
24,24],[6486480,51408,720,1488,226800,45360,240,496,48,144,48,16,16,16,5040,
5040,240,144,720,48,240,48,16,16,48,16,16,16,16,16,16,5040,48,48,48,48,45360,
16,48,48,16,48,16,16,16,16,16,16,16,16,48,16,16,48,16,16,240,48,16,16,16,16,16
,16,16,16,16,16,16,16,16,16,5040,16,16,48,48,16,16,16],[6486480,51408,720,1488
,226800,45360,240,496,48,144,48,16,168,72,5040,5040,240,144,720,48,240,48,16,
16,48,8,8,24,24,24,8,5040,48,48,48,48,45360,16,48,48,16,48,16,48,16,24,8,8,8,
16,48,16,16,48,8,8,240,48,16,16,8,8,8,8,16,8,8,8,8,16,24,8,5040,8,8,48,48,16,8
,8],[6486480,45360,2160,144,226800,45360,24,144,144,72,24,16,16,5040,5040,720,
144,144,24,24,8,16,16,8,8,8,5040,144,144,45360,24,144,24,16,16,24,16,8,8,8,24,
144,24,16,16,144,24,16,8,8,8,8,24,8,8,16,8,24,16,8,5040,8,8,144,24,16,8],[
6486480,84672,3600,226800,54432,3780,720,960,1200,324,108,1260,108,5040,10080,
432,1440,144,960,720,108,108,1260,108,36,36,36,36,36,5040,72,72,45360,1080,48,
24,360,144,144,72,24,24,720,108,36,36,36,36,36,180,36,72,72,72,1260,108,360,24
,144,24,24,24,36,72,12,12,360,36,36,24,5040,12,36,180,36,72,72,12,12,12],[
6486480,84672,3600,226800,45360,4032,360,1200,288,504,36,1260,108,5040,10080,
432,1440,144,360,144,168,36,1260,108,36,36,24,36,24,5040,72,72,45360,72,72,48,
360,96,144,72,72,36,72,36,24,12,12,12,180,36,12,72,12,1260,108,360,24,48,48,24
,24,12,12,24,12,36,24,36,24,5040,12,12,180,36,72,12,24,12,12],[6486480,111888,
720,2448,226800,45360,10080,240,1296,144,336,48,16,288,2520,72,5040,15120,240,
288,1440,144,240,720,48,16,16,144,48,144,96,2520,120,72,24,24,24,24,8,120,24,
24,8,5040,48,48,48,48,45360,72,72,48,1080,144,96,48,144,72,24,48,16,120,24,24,
8,8,8,8,8,8,360,24,16,48,16,16,48,2520,72,240,48,24,72,72,24,48,24,24,8,16,24,
24,8,8,16,120,24,8,24,24,5040,8,8,360,24,48,48,16,24,24,8,8,8],[6486480,145152
,2640,226800,45360,19152,360,2640,360,36,3780,36,5040,20160,288,2160,48,360,
2640,360,36,3780,360,36,36,36,360,36,5040,72,72,45360,288,48,2160,288,48,48,
360,36,360,36,36,36,36,540,12,12,72,12,3780,36,360,48,288,48,48,36,12,72,12,36
,360,36,48,5040,12,36,540,12,72,12,72,12,12],[6486480,51408,720,3408,226800,
45360,400,496,240,144,48,48,192,96,144,5040,5040,240,432,720,240,240,48,48,48,
16,16,32,48,32,144,16,24,8,8,24,16,5040,48,48,48,48,45360,48,16,24,16,48,48,80
,48,48,16,48,16,24,16,16,24,8,8,8,8,16,8,48,16,48,16,16,48,144,240,48,8,24,16,
8,8,16,16,8,8,8,16,16,8,8,16,16,24,8,8,5040,8,8,48,48,48,16,16,8,8,8],[6486480
,78624,1440,2256,226800,45360,3780,208,400,288,144,48,228,60,16,1260,108,5040,
10080,480,288,720,240,120,96,24,24,72,36,16,8,20,1260,108,12,12,24,24,12,8,8,
12,12,24,5040,96,24,96,24,45360,48,16,24,16,360,192,48,48,24,24,24,72,8,16,12,
8,12,4,4,8,4,4,12,24,4,180,36,8,96,24,8,8,1260,108,120,96,8,8,16,16,8,48,8,8,4
,8,24,8,4,4,8,24,12,12,8,8,5040,4,4,180,36,96,24,8,24,4,4,8,4],[6486480,54432,
480,3600,1890,1512,360,720,96,96,48,48,288,108,3780,36,5040,630,270,18,18,90,
54,6,24,24,24,48,72,36,180,72,12,36,12,360,36,5040,72,72,1260,18,18,6,90,54,18
,18,6,6,6,18,6,24,12,36,24,12,12,36,540,12,12,72,12,180,12,36,6,18,6,6,6,6,18,
12,12,72,12,12,12,36,6,630,12,12,90,6,18,6,18,6,6],[6486480,54432,1440,2640,
1890,9072,1260,480,720,96,240,48,108,36,48,1260,108,5040,630,90,54,18,30,54,18
,360,96,24,36,48,24,36,60,36,36,12,12,36,36,5040,72,72,1260,54,6,6,30,18,6,18,
18,6,6,18,18,36,24,12,12,12,12,36,180,36,72,72,72,60,36,36,6,6,18,18,6,6,6,12,
72,12,12,36,12,12,6,630,12,12,30,18,18,18,6,6,6],[6486480,33264,2160,1872,
90720,18144,144,384,624,144,432,288,96,48,840,1152,288,384,288,96,96,144,144,
48,48,48,48,840,72,24,72,24,9072,432,96,48,60,144,96,48,48,48,24,24,24,24,72,
24,24,24,24,24,24,24,192,144,48,60,12,12,48,24,24,24,24,24,24,24,24,24,24,24,
24,72,48,24,12,12,12,12,24,24,24,24,24,24,12,12,12,12,24,12,12,12,12],[6486480
,18144,1008,3024,18144,576,144,144,144,840,144,504,144,144,144,72,72,168,24,
432,72,24,144,72,72,24,96,24,24,24,72,24,72,84,24,24,12,24,12,72,12,12,24,12,
12,72,12,12,12,12],[6486480,54432,432,3024,18144,3024,144,144,240,1008,48,840,
1008,144,144,144,1008,48,48,48,48,72,72,432,72,24,144,48,48,48,48,24,24,40,24,
24,8,8,144,24,8,48,24,24,24,8,8,8,8,8,72,12,12,24,8,8,8,8,24,4,4,8,12,4],[
6486480,18144,2880,432,3024,18144,144,144,144,48,48,840,144,144,144,24,24,24,
24,96,72,24,432,72,24,144,24,24,24,24,24,24,24,24,24,24,24,24,24,12,12,12,12,
72,12,12,24,12,12,24,12,12,12,12],[6486480,18144,3312,3024,18144,144,144,144,
96,144,144,16,840,48,144,144,16,144,16,16,16,16,48,72,24,432,72,24,144,16,16,
16,16,24,24,24,24,16,8,8,8,16,8,8,16,24,24,8,8,8,8,8,8,72,12,12,24,8,8,8,8,8,4
,4,8,12,4],[6486480,33264,2160,1872,3024,18144,144,384,624,144,432,288,96,48,
840,144,384,288,96,96,144,144,48,48,48,48,840,72,24,72,24,432,72,24,144,96,48,
48,48,24,24,24,24,72,24,24,24,24,24,24,24,48,24,24,48,24,24,24,24,24,24,24,24,
24,24,24,24,72,12,12,24,24,24,24,24,24,12,12,24,12,12],[6486480,18144,624,3024
,1008,336,96,48,48,840,48,336,48,48,48,48,48,48,48,104,24,1008,48,24,48,48,48,
56,8,8,16,8,48,48,48,8,48,56,8,8,8,8,8,8,8,8,8,8,8,8,48,8,8,8,8,8],[6486480,
45360,3600,240,226800,45360,48,240,240,144,48,8,8,5040,5040,1200,240,240,48,48
,8,8,8,8,8,8,8,5040,240,240,45360,48,240,48,8,8,48,8,8,8,8,48,240,48,8,8,8,240
,48,8,8,8,8,48,8,8,8,8,48,8,8,5040,8,8,240,48,8,8],[6486480,54432,1440,2256,
226800,45360,252,368,720,96,144,16,108,36,16,84,36,5040,5040,480,216,1080,96,
360,96,8,36,16,8,36,4,12,12,4,4,12,12,5040,96,72,96,72,45360,72,8,96,72,24,8,
24,8,24,36,8,4,4,4,4,12,12,8,96,72,8,8,12,4,4,8,4,360,96,8,12,4,4,8,4,8,12,4,4
,4,4,4,36,8,12,4,5040,4,4,96,72,12,8,4,4],[6486480,60480,3600,226800,54432,252
,720,960,1200,108,36,84,36,5040,5040,360,1800,960,720,36,36,84,36,12,12,12,12,
12,5040,120,120,45360,1080,72,120,72,24,8,24,720,36,12,12,12,12,12,72,12,72,
120,12,4,4,8,4,600,72,12,24,4,4,12,72,12,4,4,4,4,4,360,36,12,4,5040,4,12,120,
72,12,4,4],[6486480,51408,2160,1584,226800,45360,24,240,496,48,240,144,16,72,
24,8,8,5040,5040,720,144,720,144,240,144,16,16,24,48,24,4,4,4,4,4,4,8,8,5040,
144,48,144,48,45360,24,16,144,48,16,48,24,8,8,24,16,4,4,4,4,8,24,16,144,16,16,
48,24,8,8,4,4,240,144,16,24,4,8,4,4,24,16,4,8,4,4,4,24,16,8,4,5040,4,4,144,48,
24,16,8,4],[6486480,60480,3600,1890,9072,1512,360,1200,96,288,36,84,36,5040,
630,30,90,360,48,96,36,84,36,12,12,8,12,8,5040,120,120,1260,54,18,18,30,6,2,6,
36,24,12,8,4,4,4,72,12,72,120,12,4,4,2,2,60,18,6,6,2,2,4,72,12,4,4,4,4,4,36,12
,4,2,630,4,4,30,18,6,2,2],[6486480,51408,720,1488,226800,45360,240,496,48,144,
48,16,840,24,240,16,5040,5040,240,144,720,48,240,48,16,16,48,240,120,16,16,16,
8,24,8,5040,48,48,48,48,45360,16,48,48,16,48,360,8,24,24,16,120,8,8,8,16,8,24,
8,16,48,16,16,48,240,48,16,24,8,8,24,8,8,8,16,24,8,8,8,16,120,8,8,5040,8,8,48,
48,16,24,8,8],[6486480,51408,720,1488,226800,45360,240,496,48,144,48,16,48,32,
5040,5040,240,144,720,48,240,48,16,16,48,32,8,8,16,16,16,5040,48,48,48,48,
45360,16,48,48,16,48,16,48,16,16,8,16,8,16,16,48,16,16,48,240,48,16,16,8,8,8,8
,16,16,8,8,16,16,8,5040,8,8,48,48,16,16,8],[6486480,108864,1680,226800,45360,
10080,200,720,72,36,2604,108,5040,15120,216,1080,96,120,720,12,2520,160,72,24,
12,120,24,12,5040,24,24,45360,72,8,1080,72,24,24,8,8,24,24,12,120,12,12,12,12,
360,24,24,4,4,2520,72,8,4,120,72,4,4,4,24,12,24,4,4,120,12,12,4,5040,4,12,360,
24,24,24,4,4,4],[6486480,48384,2640,226800,45360,200,240,96,168,36,84,180,5040
,5040,360,360,192,120,16,12,144,8,16,12,24,12,8,5040,24,24,45360,24,8,32,24,24
,48,8,8,8,24,8,4,12,8,4,12,4,48,24,4,4,144,8,4,120,8,4,8,4,4,4,8,4,4,8,12,12,4
,5040,4,4,48,24,8,4,4,4],[6486480,45360,720,1968,226800,45360,48,48,32,144,24,
144,8,8,5040,5040,240,288,240,48,8,144,4,8,4,8,8,8,5040,48,48,45360,24,48,16,
48,8,8,8,4,8,4,8,4,48,48,8,8,144,4,48,8,4,8,4,4,8,8,8,8,4,5040,4,4,48,48,8,8,4
],[6486480,48384,960,1680,1890,1260,240,240,128,60,36,16,2604,108,5040,630,180
,36,6,60,18,12,12,16,12,120,24,24,8,8,120,12,12,8,5040,24,24,1260,6,2,60,18,6,
6,2,12,6,2,6,8,4,4,4,12,4,12,360,24,24,4,4,120,24,2,2,12,2,6,2,2,6,4,24,4,4,12
,4,4,2,630,4,4,60,12,6,6,2,2,2],[6486480,18144,960,432,3024,18144,144,144,144,
16,16,840,48,144,144,8,8,8,8,32,72,24,432,72,24,144,8,8,24,24,24,24,8,8,8,8,8,
24,24,4,4,4,4,72,12,12,24,4,4,8,4,4,12,4],[6486480,27216,720,1104,90720,9072,
144,368,48,144,48,16,2520,72,240,16,840,864,96,144,48,16,16,48,240,120,16,16,
16,24,24,8,840,24,16,24,16,9072,32,720,16,60,16,120,8,8,8,16,8,180,12,12,4,12,
8,4,24,8,8,12,16,4,4,144,48,16,60,4,4,8,4,12,4,4,4,4,8,12,12,12,4,4,4,4,4,16,
120,8,60,4,12,4,4,12,4,4,4,4,4,8,12,4,4,4,4,12,4,4,4],[6486480,27216,720,1104,
90720,9072,144,368,48,144,48,16,144,32,840,864,96,144,48,16,16,48,32,8,24,16,
16,16,840,24,16,24,16,9072,32,32,60,16,16,8,16,8,24,8,12,8,4,24,8,8,12,16,4,4,
144,48,16,60,4,4,8,4,12,4,4,4,4,8,8,8,4,4,4,4,16,16,8,12,4,4,8,4,4,4,8,12,4,4,
4,4,8,4,4],[6486480,33264,240,1488,756,1008,528,48,112,144,144,240,16,840,12,
36,12,48,48,16,48,48,240,16,16,16,8,24,16,840,8,24,8,24,252,4,36,4,6,16,24,8,
16,8,12,24,4,8,8,8,8,8,24,8,12,12,12,4,6,2,2,8,8,8,8,8,8,12,8,4,4,4,4,4,4,12,4
,6,2,2,2,8,4,4,4,4,4,2,2,2,2,4,2,2,2,2],[6486480,78624,1200,226800,45360,3780,
120,400,108,2184,72,240,5040,10080,144,720,48,120,36,1260,36,12,12,240,200,12,
48,5040,24,24,45360,16,360,48,24,8,360,8,48,120,12,12,12,36,24,12,180,24,12,24
,4,4,1260,36,120,8,48,8,8,8,12,24,4,4,12,120,12,8,5040,4,12,180,12,24,24,4,4,4
],[6486480,78624,1200,226800,45360,3780,120,400,108,1344,96,16,5040,10080,144,
720,48,120,36,1260,36,12,12,16,12,32,24,5040,24,24,45360,16,360,48,24,8,16,24,
24,8,4,12,12,12,8,4,180,12,8,24,4,4,1260,36,120,8,16,8,8,8,4,8,4,4,12,8,12,8,
5040,4,4,180,12,24,8,4,4,4],[6486480,48384,480,1200,1890,1260,120,240,32,48,16
,36,1344,96,240,5040,630,90,18,6,30,18,6,8,12,60,12,12,4,240,8,12,24,8,8,5040,
24,24,1260,2,30,6,6,2,2,6,18,2,6,6,12,8,4,4,4,24,4,180,24,12,24,4,4,60,12,12,2
,6,2,6,2,2,2,4,24,4,4,4,12,4,2,630,4,4,30,6,6,6,2,2,2],[6486480,63504,720,3984
,90720,9072,3024,144,1424,144,336,48,16,432,504,72,840,4032,288,864,96,144,144
,48,16,16,144,48,144,144,504,24,72,24,24,24,24,8,24,24,24,8,840,24,64,24,64,
9072,32,144,96,48,16,60,48,16,24,24,24,8,8,8,8,8,8,12,24,24,4,24,24,24,12,64,4
,4,24,4,4,504,72,144,48,16,60,4,12,12,4,8,24,4,12,4,4,4,4,24,24,24,24,4,4,4,4,
4,4,4,4,4,4,4,4,16,24,24,8,24,12,12,4,4,4,4,24,4,4,4,4,4,4,4,4,4,4,8,12,4,4,4,
4,4,4,4,4,4,4,4,4],[6486480,51408,1680,3216,756,27216,1008,432,1104,144,400,
144,48,144,504,72,840,252,36,36,12,12,36,12,432,48,144,48,48,48,16,144,48,504,
24,72,24,24,24,24,8,24,24,24,8,840,56,48,56,48,252,4,12,12,12,4,4,12,6,16,48,
24,24,24,8,8,8,8,8,8,36,24,8,12,56,24,24,36,48,12,12,8,4,4,252,12,12,12,12,12,
12,4,6,2,6,2,6,2,2,8,8,12,36,12,12,12,12,24,8,8,8,4,4,4,4,4,4,4,4,4,4,4,4,4,12
,12,4,4,4,12,2,6,2,2,2,2,2,2,8,12,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,4,2,2,2,
2,2,2,2,2],[6486480,33264,3120,2064,756,240,96,528,48,304,192,64,80,48,16,840,
252,36,36,12,12,36,12,168,32,48,48,56,80,16,16,16,48,24,16,16,8,8,8,24,16,8,8,
840,104,24,104,24,6,4,12,12,12,4,4,12,6,56,16,24,8,8,16,8,8,8,8,8,40,8,16,104,
8,8,24,16,16,40,8,8,6,6,2,2,6,2,2,4,6,2,6,2,6,2,2,8,28,8,40,8,8,8,28,16,8,4,4,
8,4,8,4,8,4,4,4,8,2,6,2,2,2,2,2,1,6,2,2,2,2,2,2,28,8,4,4,4,4,4,8,4,4,4,2,1,1,1
,1,1,1,1,2,4,1,1,1,1,1,1,1,1],[6486480,48384,1440,624,90720,9072,3024,64,144,
96,144,16,16,504,72,16,840,4032,144,192,24,144,96,8,16,8,504,24,24,24,16,24,16
,8,48,8,24,64,9072,16,144,16,60,8,8,8,8,24,16,8,12,24,24,4,8,4,12,4,8,8,4,4,
504,16,24,96,8,12,4,8,24,4,8,4,8,4,8,4,4,4,4,4,4,8,8,24,8,12,4,4,4,4,4,8,4,4,4
,4,8,8,4,4,4,4,4,4,4,4],[6486480,27216,720,1104,90720,9072,144,368,48,144,48,
16,80,16,840,864,96,144,48,16,16,48,80,16,16,16,16,16,840,24,16,24,16,9072,32,
32,60,16,16,16,16,16,4,4,12,8,4,24,8,8,12,16,4,4,144,48,32,60,4,4,16,4,12,4,4,
4,4,8,4,4,4,4,4,4,16,16,12,4,4,4,4,4,4,4,16,12,4,4,4,4,4,4,4],[6486480,27216,
720,1104,90720,9072,144,368,48,144,48,16,840,72,840,864,96,144,48,16,16,48,40,
8,24,24,24,8,840,24,16,24,16,9072,32,96,60,16,24,8,8,8,60,12,12,8,4,24,8,8,12,
16,4,4,144,48,16,60,4,4,8,4,12,4,4,4,4,8,4,12,4,4,4,4,16,24,12,12,4,4,4,4,4,4,
8,12,4,4,4,4,4,4,4],[6486480,33264,240,1488,756,1008,528,48,112,144,1680,48,
840,12,36,12,48,48,16,48,48,240,48,16,16,840,8,24,8,24,252,4,12,12,6,16,48,16,
16,120,8,8,8,8,8,8,24,8,12,12,12,4,6,2,2,16,8,8,8,8,8,24,8,8,8,4,12,4,2,6,2,2,
8,8,8,8,4,2,2,2,2,8,2,2,2,2],[6486480,27216,720,1104,90720,9072,144,368,48,144
,48,16,504,72,48,16,840,864,96,144,48,16,16,48,48,24,16,16,16,24,24,8,840,24,
16,24,16,9072,32,144,16,60,16,24,8,8,8,16,8,12,8,4,24,8,8,12,16,4,4,8,4,8,4,
144,48,16,60,4,4,8,4,12,4,4,4,4,8,8,4,8,4,8,8,4,4,16,24,8,12,4,4,4,4,8,4,4,4,4
,4,8,12,4,4,4,4,4,4,4,4],[6486480,54432,432,90720,18144,3024,144,144,240,1008,
48,840,4032,432,144,144,144,1008,48,48,48,48,72,72,9072,432,144,144,60,144,48,
48,48,48,24,24,40,24,24,8,8,504,144,72,12,12,48,24,24,24,8,8,8,8,8,72,24,24,12
,12,4,4,24,8,8,8,8,24,12,4,4,8,12,4,4,4],[6486480,12096,1440,3504,90720,9072,
64,48,96,96,144,16,144,16,504,72,48,840,288,144,192,24,96,8,16,16,8,72,24,24,8
,16,48,24,8,48,56,24,16,9072,16,16,144,60,8,24,8,8,16,8,8,12,8,4,16,8,4,12,4,8
,8,4,8,4,72,16,24,96,8,12,4,8,4,8,4,8,4,8,4,8,4,4,4,8,4,4,8,8,24,12,4,4,4,4,8,
4,4,4,4,4,8,8,4,4,4,4,4,4,4,4],[6486480,18144,3312,90720,18144,144,144,144,96,
144,144,16,840,288,432,144,144,16,144,16,16,16,16,48,72,24,9072,432,16,16,60,
144,16,16,16,16,24,24,24,24,16,8,8,8,72,16,72,12,12,16,24,24,8,8,8,8,8,8,72,8,
8,12,12,4,4,24,8,8,8,8,8,12,4,4,8,12,4,4,4],[6486480,18144,624,3024,18144,288,
144,144,48,840,48,168,144,144,48,24,24,104,24,432,72,24,144,24,24,24,48,24,24,
8,24,8,24,28,24,24,4,8,4,72,12,12,24,4,4,24,4,4,12,4],[6486480,45360,720,48,
226800,45360,48,48,8,8,5040,5040,240,48,48,8,8,4,4,5040,48,48,45360,48,8,8,8,4
,4,48,8,8,48,8,4,4,4,8,4,8,4,5040,4,4,48,8,4],[6486480,30240,2880,240,22680,
2520,240,192,24,16,144,16,20,480,360,24,240,24,16,48,16,8,16,24,20,72,24,24,48
,8,16,8,20,24,24,8,16,8,16,8,8,24,24,8,8,8,20,8,24,8,8,8,8,4,8,4,4,4],[6486480
,30240,1200,22680,2520,240,160,240,24,48,80,20,360,120,240,80,24,16,80,8,80,8,
4,72,24,24,24,16,48,8,20,24,8,8,80,8,24,24,8,16,8,8,8,8,4,8,24,8,8,8,8,4,8,4,4
,4],[6486480,75600,144,1680,22680,10080,1680,144,144,384,20,2520,24,72,360,24,
1680,144,144,144,384,4,72,24,24,360,24,24,24,72,24,24,20,384,144,144,24,24,72,
24,24,24,24,24,24,24,4,144,24,24,24,24,24,4,24,4,4,4],[6486480,42336,2160,756,
27216,252,360,720,36,672,144,16,840,252,12,36,360,12,252,36,12,12,16,36,48,8,
840,36,36,252,12,4,12,6,8,4,12,36,4,8,4,30,18,4,36,2,36,36,2,2,2,252,12,12,4,6
,2,2,4,36,2,4,4,6,6,2,2,2,2,2,12,4,4,2,2,6,2,4,2,6,2,2,2,2,4,2,2,2,2,2,2,2,2,2
],[6486480,24192,1440,1008,756,252,24,240,96,48,16,36,672,144,240,840,36,36,36
,8,12,12,12,12,4,240,8,12,24,24,8,840,48,12,48,12,252,12,36,12,6,12,8,4,4,4,24
,4,30,12,18,2,4,48,12,4,4,2,2,2,12,12,12,12,6,6,6,4,4,2,12,12,4,4,2,2,2,2,2,2,
2,4,12,4,6,2,6,6,4,2,2,2,2,2,2,4,2,2,2,6,2,2,2,2,2],[6486480,24192,1440,1008,
756,252,24,240,96,48,16,36,1512,120,16,840,36,36,36,8,12,12,12,12,4,120,16,8,
12,24,24,840,48,12,48,12,252,12,4,12,6,8,4,4,12,4,12,8,90,14,4,2,4,48,12,4,4,2
,2,2,12,12,12,4,6,6,6,4,4,2,12,12,4,4,2,2,2,2,2,2,2,4,4,12,2,2,2,6,4,2,2,2,2,2
,2,4,2,2,2,2,2,2,2,2,2],[6486480,42336,2160,90720,9072,756,120,720,108,672,144
,16,840,2016,144,720,120,36,252,36,12,12,16,12,48,24,840,36,36,9072,48,16,48,
60,8,4,12,12,12,8,4,30,18,4,12,6,12,36,6,2,2,252,36,120,8,60,6,6,4,12,6,12,4,2
,6,2,2,2,2,2,12,8,12,4,12,6,6,4,2,2,6,2,2,2,4,12,2,2,2,2,4,2,2,2],[6486480,
42336,2160,90720,9072,756,120,720,108,3192,72,240,840,2016,144,720,120,36,252,
36,12,12,240,360,12,48,840,36,36,9072,48,720,48,60,120,12,12,12,36,24,12,210,
12,6,12,6,12,36,6,2,2,252,36,120,48,60,6,6,12,12,6,12,36,2,6,2,2,2,2,2,12,120,
12,60,12,6,6,12,2,2,6,2,2,2,12,12,2,2,6,2,12,2,2,2],[6486480,42336,2160,756,
27216,252,360,720,36,1512,120,240,840,252,12,36,360,12,252,36,12,12,240,120,36
,48,840,36,36,252,12,36,12,6,120,12,12,36,12,24,12,90,12,14,36,2,36,36,2,2,2,
252,12,12,12,6,2,2,12,36,2,12,12,6,6,2,2,2,2,2,12,12,12,6,2,2,2,12,2,6,2,2,2,2
,12,2,2,2,2,2,2,2,2,2],[6486480,42336,2160,22680,9072,756,120,720,108,2352,144
,80,840,1008,72,288,72,120,36,252,36,12,12,80,280,36,72,840,36,36,108,24,12,36
,24,12,4,216,16,24,8,15,40,12,12,36,36,24,12,150,4,18,12,6,12,36,6,2,2,36,4,4,
4,12,4,24,4,16,12,8,4,15,3,3,3,3,12,12,6,4,28,6,10,2,2,2,2,2,12,8,4,4,4,4,4,15
,3,3,3,1,3,1,1,1,1,3,3,1,4,2,6,6,2,2,2,4,3,3,1,1,1,1,3,3,1,1,1,1,1,2,3,1,1,1,1
,1,1,1],[6486480,15120,240,48,756,16,144,24,8,840,12,36,12,24,8,8,8,4,840,8,8,
4,36,4,6,8,4,4,24,8,4,4,6,4,6,2,2,4,4,4,4,4,2,2,6,2,2,4,2,2,2,2,1,2,1,1],[
6406400,1280,89600,2240,104,200,80,64,40,128,80,8,2240,32,128,128,32,32,32,50,
32,8,8,2,16,32,80,16,16,16,8,8,4,4,4,10,8,8,128,32,32,32,8,8,2,2,2,8,2,2,2,2,
16,8,4,4,8,2,2,8,4,4,8,2,2,2,32,8,2,2,2,2,2,8,4,2,2,2,2],[6406400,3840,89600,
2240,104,200,768,192,64,32,12,2240,32,128,128,32,32,32,50,32,8,8,2,192,32,32,
32,32,32,64,64,6,4,2,128,32,32,32,8,8,2,2,2,8,2,2,2,2,2,64,32,32,32,2,2,4,32,8
,2,2,2,2,2,32,4,2,2,2,2],[6406400,1280,89600,2240,104,200,80,64,16,4,8,128,80,
8,2240,32,128,128,32,32,32,50,32,8,8,2,16,2,80,16,16,16,8,8,4,4,4,4,4,2,8,128,
32,32,32,8,8,2,2,2,8,2,2,2,2,16,2,4,4,8,4,4,4,2,2,2,32,8,2,2,2,2,2,4,2,4,2,2,2
],[6177600,2880,216,1440,72,1080,1440,36,72,36,180,36],[6177600,60480,5220,216
,60480,1680,1680,1680,36,240,1680,72,1680,360,54,12,36,12,12,12,240,12,12,1680
,120,12,18,12,12,12,6,120,6],[6177600,60480,21600,5040,432,60480,1680,1680,
1680,720,240,1680,144,1680,360,48,36,720,48,48,48,240,12,12,1680,120,48,48,18,
12,48,6,120,6],[6177600,960,21600,5040,432,320,160,240,96,240,160,144,80,8,32,
16,24,240,12,12,80,16,8,12,8,40,4],[6177600,25920,1920,1920,43200,360,192,144,
720,2880,360,96,24,192,24,30,48,360,48,24,12,12,6,360,24,24,3,3,6,6,6,360,24,
24,3,3,3,3,3,3,6,3,24,3,3,3,3,3,3,3,3,3],[6177600,8640,1920,86400,1260,432,
8640,48,48,192,120,36,30,48,144,8640,36,36,12,12,12,2,48,30,6,6,48,12,2,2,2,36
,12,6,2,2,6,12,2,2,2,2,2,6,2,2,2,2],[6177600,8640,1920,1980,216,240,64,48,48,
36,24,30,16,72,240,12,12,4,12,12,2,12,30,6,6,16,4,2,2,2,12,12,6,2,2,6,4,2,2,2,
2,2,6,2,2,2,2],[6177600,8640,960,320,86400,1260,432,8640,64,64,128,20,36,12,8,
30,64,144,8640,36,36,4,4,2,6,2,8,30,6,6,64,4,4,2,2,2,36,2,6,2,2,2,2,6,4,2,2,2,
2,2,2,2,2,2,2,2],[6177600,8640,320,960,1980,216,240,64,48,60,36,20,8,30,16,72,
240,12,12,12,4,6,2,2,8,30,6,6,16,4,4,2,2,2,12,6,2,2,2,2,2,6,4,2,2,2,2,2,2,2,2,
2,2,2],[6177600,320,21600,5040,432,160,32,80,8,240,160,144,40,4,16,8,240,12,12
,40,4,16,4,20,12,4,20,2,2,2],[6177600,25920,86400,1260,432,8640,720,240,1920,
108,30,240,144,8640,36,36,36,12,6,24,30,6,6,240,12,2,6,2,36,6,2,2,6,12,2,6,2,2
,2,2,2,2,2,2],[6177600,25920,1980,216,25920,240,240,240,108,30,240,72,240,12,
108,12,12,6,12,30,6,6,240,12,6,2,2,12,6,2,2,6,12,6,2,2,2,2,2,2,2,2,2],[6081075
,59535,2295,3195,25515,4725,675,735,1395,159,423,387,123,243,297,81,159,945,
117,135,35,315,675,675,315,27,99,111,27,435,99,99,147,99,99,63,159,189,63,135,
111,87,99,81,63,945,135,81,45,57,105,39,27,15,105,21,21,21,21,33,9,21,21,29,11
,3,25,25,45,9,9,9,75,135,75,23,15,27,11,33,45,27,19,31,19,15,15,15,3,1,405,135
,63,81,135,99,81,93,87,45,63,99,27,27,93,87,81,63,45,45,45,15,15,9,9,9,13,13,5
,13,3,5,13,13,9,5,9,9,9,75,135,75,9,27,27,33,23,15,15,3,11,9,9,11,9,15,21,9,3,
3,9,11,27,45,27,27,19,15,15,15,9,9,15,15,15,19,19,19,21,25,21,15,15,21,15,15,
15,15,21,15,15,15,15,21,15,15,15,15,45,9,9,9,9,9,9,9,9,9,9,9,9,9,9,27,27,27,19
,15,15,11,9,9,15,15,15,15,9,9,9,9,3,3,3,3,3,1,1,1,1,1,3,1,1,1,3,1,1,1,45,63,81
,27,87,81,45,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,45,45,15,9,9,9,9,9,9,9,5,5,5,9,13,3
,3,3,9,9,9,13,9,11,11,9,9,9,9,15,15,9,3,3,3,3,3,3,3,3,3,3,3,3,3,3,9,9,15,15,9,
3,3,3,3,27,27,21,15,15,15,15,15,15,19,15,21,15,3,15,9,9,11,9,9,9,9,9,9,9,15,15
,9,3,3,3,3,3,3,5,5,3,1,1,1,1,1,9,5,3,5,9,9,9,9,11,11,11,5,9,9,9,9,9,3,3,3,3,3,
3,3,3,9,3,3,3,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,9,9,9,9,9,9,1,1,1,1,1,1,1,1,1,1,
1,1,81,15,9,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,9,9,9,9,3,3,9,15,15,9,9,9,9,9,
9,9,9,9,11,9,9,9,9,5,9,3,9,3,1,1,1,1,1,1,1,1,1,3,3,3,1,1,1,1,1,1,1,1,9,3,3,3,3
,3,3,1,1,1,3,3,3,1,1,1,3,3,3,3,5,5,5,3,3,3,3,3,3,3,3,3,3,3,5,3,3,1,1,1,1,5,5,3
,1,1,1,1,3,3,1,1,1,1,1,9,9,9,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,1,1,3,1
,1,1,1,1,1,5,3,3,1,1,1,1,1,3,1,1,1,1,1,3,1,3,3,1,1,3,3,3,1,1,1,1,1,1,1,1,1,1,1
,1,1],[5765760,40320,241920,7056,288,40320,4480,4480,960,48,7056,288,288,4480,
40320,960,48,960,48,160,16,160,16,48,288,160,16,960,48,48,48,48,16,16,4480,16,
48,160,16,16],[5765760,40320,40320,2016,144,288,1120,4480,560,960,48,336,96,48
,72,24,4480,1120,64,16,64,16,160,16,32,8,48,24,160,16,64,16,16,16,16,16,8,560,
16,16,32,8,8],[5559840,12960,1440,288,144,96,48,720,216,144,48,48,720,48,48,24
,48,24,48,24,6,24,24,24,18,6,24,6,3,3],[5405400,105840,1320,151200,5040,15120,
7560,840,600,360,2520,360,20160,5040,240,720,240,840,120,360,360,2520,120,360,
360,360,360,120,360,5040,15120,720,120,720,720,240,720,120,120,120,120,360,120
,360,360,5040,240,2520,720,120,120,720,120,120,360,120,120,120,120,720,240,120
,120,120,120,120,120,720,120,120,120,120,120,120,120,120,120],[5405400,15120,
960,1800,151200,5040,15120,120,120,120,48,72,48,72,24,288,48,48,720,48,120,120
,48,8,8,72,8,8,8,8,8,8,24,8,8,8,8,8,5040,15120,720,120,720,16,8,16,120,8,8,8,8
,8,8,8,8,8,8,48,48,72,16,8,8,16,120,8,8,8,8,8,8,720,8,120,120,8,8,8,8,16,8,8,8
,8,120,8,8,8,8],[5405400,15120,960,1800,151200,5040,15120,120,120,120,48,72,48
,72,24,288,48,48,720,48,120,120,48,8,8,72,8,8,8,8,8,8,24,8,8,8,8,8,5040,15120,
720,120,720,16,8,16,120,8,8,8,8,8,8,8,8,8,8,48,48,72,16,8,8,16,120,8,8,8,8,8,8
,720,8,120,120,8,8,8,8,16,8,8,8,8,120,8,8,8,8],[5405400,105840,960,360,151200,
5040,15120,7560,120,120,360,192,16,2520,120,16,20160,5040,48,720,48,120,360,
120,8,16,2520,120,120,8,8,16,8,120,120,16,8,8,5040,15120,720,120,720,720,48,
720,120,120,120,8,120,120,16,8,8,8,8,5040,48,2520,720,120,8,720,120,8,8,120,8,
8,8,720,48,120,120,120,8,120,8,720,120,8,8,120,120,8,120,8,8],[5405400,15120,
480,2280,151200,5040,15120,480,120,120,48,32,72,8,72,120,16,120,288,24,48,720,
120,24,420,120,120,8,4,8,72,120,8,60,8,12,4,4,8,60,8,8,8,12,4,5040,15120,720,
120,720,16,8,8,16,120,60,8,8,4,60,8,4,8,4,8,4,8,4,4,48,120,24,72,60,16,4,8,16,
120,60,4,4,60,4,8,4,4,4,720,8,120,120,8,4,4,8,4,16,60,4,8,60,4,8,120,4,4,8,60,
4,4],[5405400,15120,960,1800,1260,108,420,360,240,120,16,36,48,72,24,24,12,12,
36,12,120,16,8,12,24,24,8,8,12,8,8,8,24,8,12,8,8,8,36,420,12,4,12,12,4,4,4,4,4
,4,12,8,8,8,8,8,8,4,12,24,4,4,4,4,12,4,8,4,4,4,4,12,4,4,4,12,4,4,4,4,4,4,4,4,4
,4,4,4,4],[5405400,15120,960,1800,1260,108,420,360,240,120,16,36,48,72,24,24,
12,12,36,12,120,16,8,12,24,24,8,8,12,8,8,8,24,8,12,8,8,8,36,420,12,4,12,12,4,4
,4,4,4,4,12,8,8,8,8,8,8,4,12,24,4,4,4,4,12,4,8,4,4,4,4,12,4,4,4,12,4,4,4,4,4,4
,4,4,4,4,4,4,4],[5405400,15120,2400,360,1260,108,420,120,16,96,144,36,24,72,
120,16,72,48,36,12,8,8,8,12,8,12,24,8,8,8,8,8,4,4,4,8,120,12,8,8,4,36,420,12,4
,12,12,12,36,4,12,4,4,8,4,4,4,4,4,4,4,4,8,36,6,6,24,12,4,2,2,12,12,2,2,4,4,2,2
,4,2,2,12,6,4,4,4,2,2,12,2,12,2,2,4,2,2,4,4,2,2,4,2,2,2],[5405400,15120,480,
2280,3780,108,15120,480,120,120,48,32,72,8,72,120,16,120,48,4,6,36,24,6,420,
120,120,8,4,8,72,120,8,60,8,12,4,4,8,60,8,8,8,12,4,108,450,60,18,3,36,8,2,4,4,
120,60,8,8,4,60,8,4,8,4,8,4,8,4,4,6,6,4,60,12,4,1,2,1,4,6,4,3,4,60,4,8,4,4,4,
18,2,6,60,3,4,2,1,2,4,2,60,4,1,1,4,3,2,3,4,1,1,3,1,1],[5405400,22680,1080,1080
,151200,5040,22680,360,360,360,72,216,216,72,72,72,1440,288,144,360,216,72,72,
360,72,72,72,72,72,72,72,72,72,5040,15120,720,120,1440,144,96,96,96,360,72,72,
72,72,72,72,72,72,72,144,240,144,48,24,96,96,72,72,72,720,144,240,48,24,48,48,
48,120,96,72,48,48,48,24,120,48,48,24,24,24],[5405400,22680,1080,1080,7560,432
,22680,360,360,360,72,216,216,72,72,72,216,360,216,72,72,360,72,72,72,72,72,72
,72,72,72,432,1080,180,108,36,18,216,360,72,72,72,72,72,72,72,72,72,72,36,72,
72,72,108,36,72,180,36,18,18,72,36,36,18,36,18],[5405400,22680,1080,1080,162,
432,22680,360,360,360,72,216,216,72,72,72,18,360,216,72,72,360,72,72,72,72,72,
72,72,72,72,18,108,36,6,6,18,6,360,72,72,72,72,72,72,72,72,72,6,6,6,6,72,72,72
,6,6,6,36,6,18,18,72,6,6,18,6,6],[5405400,136080,1800,151200,5040,15120,16380,
120,360,1800,180,36,2940,36,120,23520,5040,144,2160,360,1800,120,180,36,2940,
360,36,36,36,120,12,12,120,360,12,36,5040,15120,720,120,720,144,2160,144,48,
720,48,120,180,36,120,120,12,12,12,120,360,12,12,12,12,36,36,36,12,36,12,12,
5040,240,2940,720,36,120,720,48,360,48,144,48,48,48,120,12,12,12,36,12,12,12,
12,720,240,120,36,120,360,36,12,120,12,48,12,720,48,48,120,120,12,12,36,12,12,
12,120,48,12,120,12,12],[5405400,75600,2760,75600,630,216,30240,5880,360,720,
1320,168,60,2100,60,120,5040,210,180,168,72,6,1080,60,18,720,600,360,96,60,
2100,240,60,36,36,120,24,12,120,240,24,36,72,7560,210,24,18,6,1080,24,18,6,360
,60,72,72,18,6,6,6,360,18,24,6,360,60,60,120,120,12,12,12,120,240,12,24,24,24,
24,36,24,24,24,12,12,72,24,24,630,210,60,42,6,24,18,6,360,24,18,6,180,60,6,72,
24,6,6,24,6,24,6,24,6,120,12,12,24,24,12,12,12,12,24,18,24,180,6,6,6,6,60,60,
18,6,6,6,6,18,60,6,6,6,24,6,12,24,18,24,6,24,6,6,60,6,6,6,6,18,6,6,6,6,6,6,6,6
,6,24,6,6,6,6,6,6,6],[5405400,15120,480,3240,1260,108,420,360,360,120,112,96,
16,48,108,36,16,1260,84,8,180,12,24,12,36,24,32,8,8,120,24,8,12,16,8,12,60,48,
24,4,12,12,24,8,4,4,120,8,8,12,12,24,36,420,12,4,12,4,36,4,12,8,12,4,12,4,4,8,
120,12,8,4,4,12,12,8,4,8,4,4,4,12,8,4,4,8,12,4,12,4,4,12,60,24,4,4,4,4,4,24,12
,12,4,4,4,12,8,4,4,4,4,4,12,4,4,12,4,4,4,4,8,4,12,12,4,4,12,4,4,4,4,12,4,4,4,4
,4,4,12,4,4,4,4,4,4,4],[5405400,45360,3240,1260,108,45360,420,1080,1080,1080,
16,108,36,420,108,8,420,36,12,108,1080,1080,8,36,36,420,108,36,36,8,36,8,4,8,
36,36,8,36,420,12,4,108,12,36,36,4,4,12,1080,36,4,8,4,8,4,4,36,36,36,8,4,36,8,
4,4,36,4,4,4,4,12,420,36,4,4,4,4,36,36,4,12,4,4,8,4,4,36,4,4,4,4,4,12,4,36,4,4
,4,36,36,4,4,4,4,4,12,4,4,4,4,36,4,4,4,4,4,4,4,4,4,4],[5405400,30240,1680,1800
,1260,108,22680,420,240,360,16,144,200,24,108,36,24,840,96,120,210,90,78,6,36,
72,12,180,144,12,4,12,8,24,24,12,24,210,30,54,18,6,26,30,10,6,12,8,10,120,60,4
,24,24,12,4,36,420,12,4,54,12,2,18,24,2,18,12,6,2,36,6,6,18,4,2,12,60,12,6,4,4
,4,2,12,6,8,8,8,6,4,2,2,6,6,12,4,4,6,2,4,18,6,2,2,12,6,2,36,6,6,210,30,6,26,12
,4,18,12,2,12,24,6,18,2,2,6,2,6,6,6,2,6,4,4,2,6,2,2,2,4,2,2,2,2,6,2,12,6,18,4,
2,4,12,6,2,6,6,8,2,12,6,2,6,2,2,12,6,2,6,2,4,6,4,2,6,2,2,2,6,2,2,2,2,2,4,6,2,2
,2,4,2,2,2],[5405400,45360,3240,151200,5040,15120,1260,120,360,1080,144,324,36
,420,108,8,3360,432,48,2160,360,120,72,108,36,420,108,36,36,24,12,8,4,8,12,36,
24,5040,15120,720,120,720,144,144,48,48,16,48,120,36,36,8,4,8,4,4,12,12,12,8,4
,36,24,12,12,12,12,4,4,48,240,420,108,16,8,16,8,360,48,24,48,8,8,8,4,4,12,12,4
,4,4,4,720,24,120,36,120,24,36,12,8,12,8,4,16,48,48,8,8,4,12,12,4,4,12,120,8,4
,8,12,4],[5405400,30240,720,2760,75600,630,216,7560,840,200,360,48,144,72,24,
216,60,8,1680,72,120,1680,210,216,18,72,360,96,54,60,48,12,12,36,24,36,8,4,24,
210,70,54,42,6,18,30,10,6,12,8,6,120,180,4,12,24,12,4,72,7560,210,24,18,6,24,
18,18,8,24,24,54,24,8,6,18,8,360,18,24,6,6,12,6,4,60,12,6,4,4,4,2,12,6,8,4,4,2
,4,2,2,6,18,12,12,4,6,2,8,6,18,2,2,12,6,2,72,12,12,210,70,54,6,24,18,6,24,18,8
,6,60,48,18,18,6,4,4,6,4,24,6,6,4,6,4,4,2,2,2,6,2,4,2,2,2,2,6,2,24,18,12,6,6,6
,4,6,12,4,6,6,18,6,2,4,60,6,6,2,6,4,2,24,18,6,4,6,4,6,6,6,4,2,2,2,6,2,6,2,2,2,
2,2,6,6,4,2,2,6,2,2,2],[5405400,45360,3240,75600,630,216,30240,840,360,720,
1080,48,216,60,420,108,8,1680,210,216,18,12,1080,54,720,360,24,72,60,420,108,
36,36,16,24,8,4,8,24,36,16,72,7560,210,24,18,6,1080,24,18,18,72,72,8,6,18,6,8,
2,24,6,360,60,12,8,4,8,4,4,24,24,24,8,4,36,16,8,8,24,8,4,4,4,24,12,210,210,54,
18,4,2,2,8,4,2,2,180,18,72,6,4,6,24,6,4,2,4,2,8,4,4,24,8,4,4,4,4,24,18,4,180,6
,6,6,6,4,6,18,6,18,18,4,2,6,2,4,2,4,4,2,24,6,6,4,2,4,2,2,2,6,18,2,6,2,2,2,2,6,
2,6,4,2,2,2,2,6,2,2],[5405400,60480,720,2280,75600,630,216,7560,5880,200,600,
144,72,24,168,60,8,840,96,8,5040,30,168,18,12,12,360,96,60,18,60,600,48,12,12,
36,60,8,4,24,630,130,42,6,42,30,18,6,6,8,6,4,60,8,4,12,24,12,12,72,7560,210,24
,18,6,24,18,8,6,360,24,24,6,24,6,6,4,8,2,8,2,24,6,60,6,6,4,12,6,4,4,4,2,4,60,6
,8,4,4,4,2,4,2,2,24,6,6,12,12,6,6,6,6,2,6,6,4,2,4,24,12,630,10,42,12,6,4,2,2,8
,4,2,2,60,60,48,6,24,2,6,4,6,4,2,4,24,2,4,4,2,2,6,2,2,6,4,6,2,2,2,2,2,24,18,4,
6,6,6,4,6,60,12,4,2,2,6,6,6,2,4,4,2,6,6,2,4,2,4,2,6,4,24,6,2,4,2,2,2,6,2,2,2,2
,2,6,2,6,2,6,2,4,2,2,2,6,2,2],[5405400,45360,3240,1260,108,30240,840,360,720,
1080,48,216,60,420,108,8,420,36,12,108,720,360,24,72,60,420,108,36,36,16,24,8,
4,8,24,36,16,36,210,45,27,6,3,72,24,24,36,8,4,12,360,60,12,8,4,8,4,4,24,24,24,
8,4,36,16,8,8,24,8,4,4,4,12,210,15,18,3,3,2,1,4,4,18,9,24,8,12,4,4,8,4,4,24,8,
4,4,4,4,9,6,4,6,9,3,6,3,6,6,18,3,1,3,2,1,3,2,4,4,1,2,6,3,2,3,1,2,2,1,1,6,6,1,3
,2,1,2,1,3,2,3,2,1,2,1,1,3,1,1],[5405400,60480,720,2280,75600,108,27,7560,5880
,200,600,144,72,24,168,60,8,840,96,8,5040,168,3,3,3,12,360,96,27,3,60,600,48,
12,12,36,60,8,4,24,630,130,42,6,42,30,18,6,6,8,6,4,60,8,4,12,24,12,12,27,7560,
27,3,6,3,27,24,8,3,360,24,24,24,8,3,1,3,3,1,8,3,24,3,60,6,6,4,12,6,4,4,4,2,4,
60,6,8,4,4,4,2,4,2,2,24,6,6,12,12,6,6,6,6,2,6,6,4,2,3,3,3,630,42,1,1,1,3,2,1,8
,4,3,1,60,48,3,3,24,3,4,1,4,3,4,1,24,1,4,4,2,2,6,2,2,6,4,6,2,2,2,2,2,27,3,1,6,
3,4,3,3,60,12,6,6,4,1,1,1,1,1,4,1,6,3,4,1,2,3,1,1,3,3,3,1,4,2,1,1,6,2,1,1,2,1,
6,1,3,2,3,1,1,2,1,1,3,1,1],[5405400,45360,3240,75600,630,216,15120,1260,120,
360,1080,144,324,36,420,108,8,1680,210,216,18,12,1080,54,360,120,72,108,36,420
,108,36,36,24,12,8,4,8,12,36,24,72,7560,45,36,6,360,72,18,18,72,24,24,6,18,6,8
,2,24,6,120,36,36,8,4,8,4,4,12,12,12,8,4,36,24,12,12,12,12,4,4,4,24,12,210,15,
54,3,4,2,8,4,2,2,180,9,24,6,12,6,24,6,4,2,4,2,8,4,4,12,12,4,4,4,4,18,9,4,60,18
,3,9,6,12,18,6,3,3,1,4,1,6,3,4,2,4,2,1,6,3,6,3,2,4,2,1,1,6,6,3,1,2,1,2,1,6,3,3
,2,1,2,1,1,3,1,1],[5405400,105840,360,151200,5040,15120,7560,120,120,360,2520,
144,120,20160,5040,720,120,360,120,2520,120,120,120,120,24,12,5040,15120,720,
120,720,720,720,120,120,120,24,120,120,12,5040,2520,720,120,720,120,120,12,12,
48,720,120,120,120,120,12,720,120,120,120,120,12],[5405400,15120,1800,151200,
5040,15120,120,120,120,48,72,72,40,288,48,720,120,120,8,72,8,8,8,8,16,4,5040,
15120,720,120,720,16,16,120,8,8,4,8,8,4,48,72,16,8,16,120,8,4,4,8,720,120,120,
8,8,4,16,8,8,120,8,4],[5405400,15120,1800,1260,108,420,360,240,120,16,36,72,40
,24,12,36,120,8,12,24,12,8,8,12,16,4,36,420,12,4,12,12,4,4,4,4,8,12,8,4,4,24,4
,4,4,12,4,8,4,4,12,4,4,12,4,4,4,4,4,4,4,4],[5405400,15120,1800,1260,108,420,
360,240,120,16,36,72,40,24,12,36,120,8,12,24,12,8,8,12,16,4,36,420,12,4,12,12,
4,4,4,4,8,12,8,4,4,24,4,4,4,12,4,8,4,4,12,4,4,12,4,4,4,4,4,4,4,4],[5405400,
22680,1080,1080,75600,2520,864,22680,360,360,360,72,216,216,72,72,72,720,144,
72,360,216,72,72,360,72,72,72,72,72,72,72,72,72,288,7560,360,60,216,72,36,720,
72,48,48,48,360,72,72,72,72,72,72,72,72,72,120,72,24,12,48,48,72,72,72,72,72,
24,120,24,12,24,24,24,60,72,36,36,48,72,24,24,12,24,12,24,24,36,12,12],[
5405400,108360,360,2040,151200,5040,15120,7560,120,160,920,72,168,48,16,216,8,
2520,72,120,8,20160,5040,288,48,960,96,48,160,360,48,16,16,120,72,24,72,72,8,8
,8,8,2520,120,72,24,24,24,24,8,120,8,8,8,120,120,8,8,8,24,24,8,5040,15120,720,
120,720,32,16,720,96,48,16,48,720,16,120,24,16,8,8,8,120,120,8,8,8,8,8,120,120
,8,8,8,8,8,24,24,8,8,8,8,8,8,8,5040,48,48,2520,720,72,120,16,8,720,16,16,16,
160,48,16,8,16,16,16,8,120,8,8,8,8,8,8,8,8,8,720,48,120,16,8,120,120,24,8,24,8
,16,120,8,16,8,720,16,16,120,8,8,120,8,8,8,8,8,8,120,16,8,8,120,8,8,8],[
5405400,17640,360,3480,151200,5040,15120,120,400,200,120,72,48,32,144,72,8,144
,16,576,96,960,96,48,160,48,24,32,16,8,120,16,24,8,8,8,8,24,144,16,24,16,8,8,8
,16,8,24,16,8,8,5040,15120,720,120,720,32,16,96,32,48,16,32,120,16,8,8,8,8,16,
16,8,8,24,16,8,8,8,8,16,8,8,8,8,8,96,48,144,32,16,32,16,160,48,16,8,16,16,16,8
,16,8,8,8,8,8,8,720,48,120,16,8,120,16,24,8,8,16,16,16,8,32,16,16,8,16,8,8,8,8
,120,16,8,8,16,8,8],[5405400,37800,1480,2040,1260,108,4200,360,240,600,40,136,
96,32,120,24,144,120,8,72,24,36,12,60,36,4,4,600,16,120,40,40,40,120,24,8,8,8,
48,48,120,24,8,8,8,8,120,8,8,8,8,24,16,36,420,12,4,12,12,4,12,4,8,12,4,36,4,
120,40,40,8,24,24,8,8,120,24,8,8,8,8,8,8,8,8,16,8,8,36,4,4,24,24,12,4,4,4,12,
12,4,4,60,4,12,4,4,4,4,4,40,24,8,8,8,8,8,8,8,12,4,4,4,12,4,8,12,4,4,4,4,12,4,4
,8,12,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4],[5405400,22680,120,3640,75600,
630,216,7560,840,360,280,120,56,8,24,216,96,1260,108,120,8,180,288,72,12,12,
720,16,10,18,6,4,120,40,8,32,24,8,16,24,24,24,24,48,120,72,24,24,16,12,24,4,8,
120,60,8,8,8,4,12,12,12,12,72,7560,210,24,18,6,96,18,16,2,2,48,18,6,16,4,8,2,4
,360,18,8,2,24,8,8,16,8,60,12,12,4,4,4,4,4,24,12,8,4,4,4,4,8,8,12,12,8,4,4,8,8
,4,4,72,4,4,60,72,12,24,18,6,4,2,2,48,18,8,2,2,2,120,10,8,6,6,4,2,2,16,2,2,8,8
,2,8,12,4,4,4,8,4,4,4,4,4,24,18,4,6,24,8,2,2,6,8,4,2,6,6,12,2,2,4,4,60,6,4,2,8
,2,4,24,18,4,2,4,2,6,2,8,2,12,6,4,2,2,2,2,4,2,4,2,6,4,2,2,4,2,6,2,2,2],[
5405400,52920,2520,3000,18900,630,54,30240,2100,360,720,1080,216,600,384,144,
180,60,72,840,72,1260,210,420,90,96,54,18,6,18,360,108,30,54,18,18,720,120,384
,24,144,144,24,360,72,24,216,60,72,72,72,72,60,840,60,72,24,24,36,36,12,24,12,
60,12,24,24,36,12,18,210,6,360,54,6,18,36,18,36,6,36,6,6,90,108,96,36,30,36,36
,96,36,18,6,36,18,6,18,18,6,6,6,6,6,18,18,90,6,18,6,360,60,24,144,24,24,72,72,
72,60,24,24,24,12,12,12,12,12,12,12,12,24,36,12,12,12,12,12,24,12,12,12,18,18,
6,6,6,6,18,210,30,6,18,6,6,90,18,6,6,6,6,6,6,6,6,30,18,6,6,36,6,36,6,6,36,96,6
,36,36,36,6,6,6,18,6,36,6,36,36,36,36,6,6,18,6,6,6,6,18,6,6,6,18,6,6,6,18,6,6,
6,6,6,18,6,6,6,6,6,6,6,72,24,12,24,12,12,12,12,12,12,12,6,6,6,6,6,6,18,18,18,6
,6,6,6,6,6,6,6,36,6,30,18,6,6,6,6,6,6,6,6,6,6,6,36,36,36,36,6,6,6,6,6,18,6,6,6
,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,18,6,6
,6,6,6,6,6,6,6,6,6,6,36,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6],[5405400,83160,1080,3960,94500,1260,15120,
6300,120,720,1560,216,504,144,96,540,180,24,840,72,9660,1260,180,432,36,1080,
252,36,720,360,144,72,96,96,72,120,216,72,216,180,24,24,24,24,180,840,60,72,24
,24,36,36,12,24,12,60,12,24,24,36,12,1260,7560,90,540,18,36,12,54,84,18,48,630
,108,72,36,156,144,36,24,126,42,12,36,36,42,90,6,18,6,120,180,72,96,72,72,24,
24,24,60,24,24,24,12,12,12,12,12,12,12,12,24,36,12,12,12,12,12,24,12,12,12,
1260,36,60,36,36,840,90,72,6,90,18,6,6,6,6,6,6,6,6,120,72,6,48,18,12,18,144,36
,18,24,24,24,18,18,18,54,18,36,18,12,12,12,12,36,42,42,42,6,18,6,6,6,18,6,6,6,
6,6,18,6,6,6,6,6,6,6,24,72,12,24,12,12,12,12,12,12,12,90,60,36,12,12,36,36,36,
12,12,60,6,24,12,12,18,60,36,12,24,24,12,6,6,18,42,12,12,12,24,18,18,18,6,18,6
,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,90,6,
36,6,18,6,18,12,12,12,6,12,12,12,18,24,12,12,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,18,6,6,6,12,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6],[5405400,128520,360,3960,94500
,1260,7560,21000,240,3960,360,360,24,24,960,60,1260,60,13860,1260,60,408,36,
2160,108,36,240,3960,24,24,24,24,24,360,360,360,960,60,1260,240,60,60,60,24,24
,24,240,60,24,24,1260,7560,90,90,408,60,12,108,6,6,2160,60,60,60,408,18,6,6,
108,108,36,6,12,90,6,6,18,960,60,360,360,24,24,24,240,60,60,60,24,24,24,24,24,
24,24,24,60,24,24,1260,36,180,12,36,1260,90,60,6,90,6,6,6,6,18,6,6,6,6,240,24,
6,108,6,60,6,18,6,6,6,6,6,6,6,408,60,60,60,60,60,108,108,6,6,12,18,6,6,6,6,6,6
,6,18,6,18,6,6,6,6,6,6,6,6,360,24,24,60,24,24,24,24,24,90,180,12,12,36,12,36,
12,36,12,60,6,24,60,6,240,24,24,60,6,6,60,60,60,108,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,24,90,6,12,18,6,18,
6,36,12,12,6,12,24,60,6,60,24,24,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,12,6
,6,6,6,6,6,24,6,6,6,6,6,6,6,6,6],[5405400,78120,840,4280,18900,630,54,22680,
8400,720,2360,264,456,72,72,680,180,1260,60,2100,210,140,150,168,18,18,14,6,6,
480,92,50,18,42,6,2,720,1400,72,72,72,72,72,264,168,264,440,180,1260,240,60,60
,60,24,24,24,240,60,24,24,18,210,6,270,60,56,18,44,18,18,14,2,6,300,92,68,44,
50,96,54,18,18,42,14,56,32,18,6,6,6,14,18,6,2,6,6,2,90,6,6,18,320,180,120,168,
72,72,72,240,60,60,60,24,24,24,24,24,24,24,24,60,24,24,18,6,2,6,6,6,6,2,2,6,2,
210,50,14,6,6,2,2,90,6,6,6,6,18,6,6,6,6,50,6,14,2,2,20,18,32,18,6,54,18,18,18,
18,18,18,18,60,56,32,44,20,32,18,6,6,6,20,32,18,18,6,14,2,18,6,6,6,6,6,6,6,18,
6,18,6,6,6,6,6,6,6,6,120,72,24,60,24,24,24,24,24,6,6,6,2,2,2,2,6,2,2,2,2,6,2,2
,2,6,2,2,2,6,2,2,2,6,6,14,2,20,18,50,6,6,6,6,6,14,14,14,2,2,2,2,20,32,20,20,18
,18,18,18,18,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,24,6,2,2,2,6,2,2,6,2,2,6,2,2,2,2,2,2,2,2,2,2,2,6,20,18,14,6,6,6,6,
6,2,6,6,6,6,6,6,6,6,6,6,6,6,6,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
6,6,2,2,2,2,2,2,2,2,2,2,2,2],[5405400,22680,2520,1560,18900,2520,216,15120,480
,240,360,72,312,144,48,96,120,24,420,420,120,36,72,24,180,84,72,420,240,144,48
,48,120,72,84,96,24,24,24,120,60,24,24,12,12,12,60,24,12,12,72,360,60,36,6,180
,48,12,12,84,36,12,12,12,36,12,48,24,12,12,120,84,48,24,24,24,60,12,12,60,12,
12,24,12,12,12,12,12,24,12,12,60,12,6,6,6,12,24,12,42,12,12,12,36,12,12,12,12,
42,48,12,12,12,12,6,12,6,12,6,6,6,24,60,12,12,12,12,12,18,6,12,60,6,12,12,42,
12,12,12,12,12,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,60,12,6,12,12,6,6,6,6,6,6,6,6,
12,6,6,6,6,6],[5405400,52920,1080,2520,18900,2520,216,15120,2520,120,240,920,
120,312,144,48,216,24,840,72,40,8,420,840,180,108,24,12,540,36,72,240,120,144,
48,48,120,72,24,120,72,24,24,24,24,840,40,72,24,24,24,24,8,40,8,8,8,40,40,8,8,
8,24,24,8,72,360,60,36,6,180,72,12,20,12,36,60,20,36,12,36,12,24,12,24,8,4,24,
4,120,24,48,24,24,24,40,40,8,8,8,8,8,40,40,8,8,8,8,8,24,24,8,8,8,8,8,8,8,4,24,
12,120,20,8,4,4,2,8,4,8,4,4,4,24,12,12,12,12,12,36,12,12,12,24,20,12,12,12,12,
12,12,24,4,4,8,4,4,4,8,4,4,4,4,4,4,24,40,8,8,8,8,8,8,8,8,8,18,6,4,60,6,12,4,8,
12,12,12,12,12,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,2,2,6,2,6,6,20,
4,2,12,12,4,4,4,4,4,4,4,4,4,4,2,2,6,4,4,2,2,6,2],[5405400,37800,360,3480,18900
,108,108,7560,2100,400,600,168,168,24,40,300,120,420,84,40,8,1260,60,132,12,6,
12,180,84,6,240,120,24,48,40,24,32,72,40,72,60,80,80,48,16,24,16,8,16,4,8,40,
20,8,8,8,4,8,12,12,12,27,27,12,9,6,3,3,90,6,30,12,12,10,90,36,24,28,24,30,6,10
,30,10,12,2,8,4,12,12,4,60,24,24,32,24,20,8,8,4,4,4,4,4,16,8,8,4,4,4,4,8,8,12,
8,8,4,4,8,8,4,4,3,3,3,4,3,1,2,3,1,2,1,1,8,2,4,4,2,2,4,2,6,3,3,6,6,8,18,6,12,10
,6,6,8,8,6,18,6,12,10,6,8,8,12,4,2,2,4,4,4,4,4,2,2,12,4,2,2,4,4,2,2,4,2,2,24,8
,4,4,4,8,4,4,4,4,4,9,3,3,1,3,3,6,1,1,2,6,6,6,6,8,6,4,4,2,2,2,4,2,2,2,4,2,2,2,4
,2,2,2,2,4,2,2,2,2,2,4,2,2,4,2,2,2,2,2,2,2,2,4,1,1,1,1,3,1,3,3,3,1,1,1,6,3,2,2
,2,2,2,2,2,2,2,2,2,4,2,2,1,1,1,3,1,2,1,1,3,1],[5405400,17640,840,1080,151200,
5040,15120,480,160,200,24,104,48,16,32,120,8,120,24,960,96,120,48,24,420,160,
48,16,16,120,24,28,32,8,8,8,120,60,8,8,4,4,4,60,8,4,4,5040,15120,720,120,720,
32,16,8,8,120,28,16,8,8,8,60,4,4,60,4,4,8,4,4,4,4,4,120,24,48,60,4,160,48,60,
16,4,8,16,8,60,4,4,4,4,4,720,8,120,16,8,4,120,4,4,16,60,4,8,60,4,8,120,4,4,60,
4,8,4],[5405400,17640,1320,600,151200,5040,15120,120,160,200,24,72,80,16,72,24
,16,48,960,96,48,48,160,48,16,16,120,8,24,8,8,8,8,8,12,8,8,8,8,4,4,8,8,4,5040,
15120,720,120,720,32,16,8,8,120,16,8,8,8,4,8,4,4,8,4,4,4,4,4,4,48,48,8,160,48,
16,8,8,16,8,8,4,4,4,4,720,8,120,16,8,4,120,4,4,16,8,8,8,8,120,4,4,8,8,4],[
5405400,37800,1000,600,1260,108,4200,600,40,40,96,24,120,16,16,12,60,36,4,16,
600,8,8,8,40,40,40,120,16,16,8,8,16,8,8,36,420,12,4,12,12,4,6,2,120,8,40,40,8,
16,8,8,8,8,8,6,6,4,2,2,60,4,12,4,4,2,2,4,40,8,8,8,8,12,2,4,4,12,2,4,2,8,4,2,2,
4,2,2,4,4,2,2,2,2,4,2],[5405400,17640,360,600,151200,5040,15120,120,160,200,24
,72,48,16,8,420,36,40,8,960,96,48,160,48,16,16,120,24,8,8,8,8,40,20,8,8,8,4,12
,12,12,4,8,8,5040,15120,720,120,720,32,16,120,8,48,16,120,16,8,8,8,20,4,4,4,4,
12,8,8,8,8,4,4,4,48,160,48,16,8,16,8,8,16,8,8,8,4,4,4,4,4,720,24,120,16,8,120,
20,4,12,8,8,8,4,16,8,8,8,4,4,4,120,8,8,4,4,8,4],[5405400,47880,360,2040,151200
,5040,15120,2520,120,400,760,72,168,48,32,216,72,8,420,36,3360,144,2400,96,48,
400,120,48,24,32,32,24,120,72,24,72,72,8,8,8,8,72,420,20,36,12,12,12,12,4,12,4
,20,4,12,12,12,4,5040,15120,720,120,720,288,64,16,120,48,48,24,8,8,48,120,72,
24,32,24,24,8,8,8,20,12,12,12,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,12,4,4,4,240,48,
420,36,400,48,16,8,48,16,48,8,8,8,48,8,8,8,24,4,12,4,4,4,4,4,4,4,720,24,120,72
,32,8,120,20,12,4,12,12,4,8,12,8,4,48,48,16,24,8,12,4,4,4,8,4,12,4,120,8,8,4,4
,8,12,4],[5405400,37800,840,1720,75600,630,216,30240,840,360,480,600,72,200,
128,48,72,24,24,420,36,210,30,18,6,1440,112,10,18,6,4,480,40,128,8,48,48,8,360
,24,8,72,24,24,24,24,24,24,420,20,36,12,12,12,12,4,12,4,20,4,12,12,12,4,72,
7560,210,24,18,6,1080,96,18,48,24,2,2,10,6,2,6,6,2,2,6,6,48,360,24,8,48,8,8,24
,24,24,20,12,12,12,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,12,4,4,4,24,12,4,210,10,6,6
,240,10,56,6,6,4,2,2,16,24,2,2,6,6,2,2,2,48,8,8,24,8,4,12,4,4,4,4,4,4,4,24,18,
4,180,6,24,24,2,12,2,6,10,6,2,2,2,6,6,2,2,2,12,8,4,24,4,6,6,4,2,8,12,2,6,2,2,2
,2,2,2,4,12,4,6,4,2,2,4,2,6,2,2],[5405400,83160,120,1720,75600,630,216,7560,
10920,120,1720,120,120,8,8,360,24,840,24,6720,96,720,16,70,54,6,4,120,1720,8,8
,8,8,8,120,120,120,360,24,840,120,24,24,24,8,8,8,120,24,8,8,72,7560,210,24,18,
6,96,18,18,16,18,6,2,720,96,16,16,6,6,360,24,120,120,8,8,8,120,24,24,24,8,8,8,
8,8,8,8,8,24,8,8,24,12,4,840,24,120,70,8,6,18,4,2,2,16,2,6,96,16,16,6,6,2,2,2,
120,8,8,24,8,8,8,8,8,24,18,4,6,24,8,6,6,18,2,6,120,8,8,24,16,6,2,2,8,6,6,24,4,
4,2,8,2,6,24,8,8,2,2,6,2,2,2,6,2,4,8,2,2,6,2,2],[5405400,52920,280,2040,1260,
108,22680,4200,360,1080,88,152,24,24,264,72,840,24,210,90,6,6,60,72,16,4,360,
600,24,24,24,24,24,88,56,88,168,72,840,120,24,24,24,8,8,8,120,24,8,8,36,420,12
,4,54,12,12,8,6,30,18,6,6,2,2,2,6,2,6,6,120,72,40,56,24,24,24,120,24,24,24,8,8
,8,8,8,8,8,8,24,8,8,6,6,4,210,30,6,2,60,16,24,4,4,6,4,6,2,2,2,2,6,6,6,2,2,2,40
,24,8,24,8,8,8,8,8,12,2,18,4,8,12,6,4,30,2,2,2,2,2,6,6,6,2,6,2,2,8,6,2,6,2,4,6
,4,6,2,2,2,2,2,4,2,6,2,2,2,4,2,2,2,2,4,2,2,2],[5405400,22680,1560,1240,75600,
630,216,7560,200,200,280,24,152,200,40,120,72,40,8,210,30,18,6,720,208,10,18,6
,4,140,120,104,8,24,40,24,24,56,24,24,28,40,40,8,24,28,40,20,8,8,8,8,4,4,4,4,4
,20,8,8,4,4,4,72,7560,5,18,2,3,18,80,16,32,2,2,10,6,2,6,6,2,2,6,6,16,28,40,24,
16,8,8,16,8,28,20,4,4,4,4,4,8,4,4,4,4,8,4,4,4,4,8,4,4,4,4,8,4,4,4,24,12,4,5,5,
1,1,120,104,5,1,1,2,2,1,56,16,2,2,6,6,2,2,2,16,8,8,28,8,4,8,4,4,4,4,4,4,4,18,2
,4,40,1,8,16,1,1,1,5,1,1,1,1,1,1,1,1,1,2,8,8,4,2,2,6,6,2,2,28,1,8,1,1,1,1,1,1,
1,4,8,4,1,2,2,1,4,1,1,1,1],[5405400,15120,1440,1960,18900,2520,216,840,280,200
,40,96,96,48,48,16,72,40,32,240,72,72,24,24,12,180,52,40,4,280,40,32,8,40,16,8
,24,40,24,40,16,16,40,40,40,8,16,72,840,24,40,4,24,28,4,8,24,16,12,12,12,8,8,4
,8,16,4,8,8,8,8,8,40,40,8,16,40,24,4,4,24,24,8,8,8,4,4,4,8,4,8,8,40,40,4,4,28,
4,4,8,4,8,4,40,4,4,4,4,8,4,4,4,40,8,8,8,8,24,4,4,8,8,4,4,4,4,4,8,4,4,4,4,4,4,8
,8,4,4,4,4,4,4,40,4,4,4,4,4,4,4,4,8,4,4,4,4],[5405400,45360,1000,18900,2520,
216,4620,280,80,520,60,72,40,1680,24,180,52,160,72,4,280,520,40,60,24,40,40,12
,40,40,40,12,72,840,24,40,4,24,28,4,8,24,180,24,4,4,8,4,60,12,12,40,40,12,40,
24,12,4,8,4,160,40,24,4,4,28,4,4,24,4,4,40,4,4,4,4,4,4,4,40,12,12,24,4,4,24,4,
4,4,4,4,4,4,12,24,4,4,4,4,40,4,4,4,4,4,4,12,4,4],[5405400,15120,1480,18900,
2520,216,840,280,160,40,24,12,420,12,40,120,8,180,148,40,4,280,40,40,4,40,8,8,
40,40,4,4,40,40,40,4,4,72,840,24,40,4,24,28,24,4,12,16,4,12,12,4,40,40,4,4,4,
40,4,4,4,4,12,8,4,40,8,40,40,4,4,28,4,4,4,40,4,8,8,4,4,4,4,4,4,4,4,4,4,40,4,4,
4,4,24,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,40,4,4,4,4,4,4,4,4,4,4,4,4],[
5405400,22680,1560,1240,18900,2520,216,840,280,80,280,24,152,96,32,72,56,40,8,
420,260,36,180,52,40,72,24,4,280,40,16,40,24,8,24,24,56,56,8,8,8,40,40,8,8,8,8
,8,40,8,40,40,8,8,8,8,8,72,840,24,40,4,24,28,4,8,8,52,12,4,12,24,8,8,28,4,4,56
,8,8,40,40,8,8,8,8,8,8,8,8,8,8,8,40,8,8,8,8,8,8,8,8,12,8,4,4,4,4,40,40,24,24,4
,8,8,4,28,4,4,8,8,4,4,28,28,4,4,4,4,40,4,4,4,4,4,4,4,4,4,4,4,4,4,4,40,8,8,8,8,
8,8,24,4,4,8,8,28,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,4,4,4,
4,4,4,40,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4],[5405400,45360,1000,18900,2520,216,
45360,840,520,360,360,840,200,840,120,540,100,40,4,280,360,40,360,840,40,200,
120,40,40,40,120,72,840,24,40,4,540,24,52,36,36,40,24,20,360,40,40,120,40,40,
120,40,24,12,4,840,40,40,40,40,40,4,4,28,4,36,36,40,4,24,20,4,12,4,4,4,12,40,
120,40,40,40,24,4,4,36,40,40,4,4,12,4,4,12,4,40,24,4,4,4,4,4,4,40,4,4,12,4,4,4
,4,4,40,4,4,4],[5405400,25200,680,18900,2520,216,2100,280,80,200,20,24,40,300,
68,80,72,24,8,280,200,40,20,8,40,40,4,40,40,40,4,72,840,24,40,4,60,28,20,20,8,
8,8,24,4,20,4,4,40,40,4,40,24,8,80,40,8,8,8,4,28,20,20,4,40,4,8,4,4,4,4,4,4,4,
40,4,4,24,4,8,8,8,20,4,4,4,4,4,4,4,8,8,4,4,40,4,4,4,4,8,4,4,4,4,4],[5405400,
15120,3400,18900,2520,216,840,280,320,40,72,36,1260,36,40,360,144,72,24,12,180
,52,40,4,280,40,40,12,120,24,24,40,40,12,12,40,40,40,12,12,72,840,24,40,4,24,
28,4,8,24,12,8,4,4,180,4,4,40,40,12,12,12,40,12,12,12,12,72,4,4,120,24,24,4,24
,8,4,4,40,40,4,4,28,4,4,4,40,4,4,4,4,4,4,4,4,4,40,12,12,12,12,24,4,4,12,4,4,4,
4,4,4,4,4,4,12,4,4,4,12,24,4,4,4,4,40,4,4,4,4,4,4,4,4,12,4,4,4,4],[5405400,
22680,1080,1080,432,22680,360,360,360,72,216,216,72,72,72,360,216,72,72,360,72
,72,72,72,72,72,72,72,72,9,108,36,18,360,72,72,72,72,72,72,72,72,72,72,72,72,
36,18,18,72,18,3],[5405400,47880,360,3960,94500,1260,7560,2520,240,760,168,168
,24,24,336,60,700,108,3780,60,504,48,960,108,12,80,120,24,24,24,8,8,72,40,72,
72,20,420,100,84,36,28,12,12,20,8,4,40,8,16,20,24,16,1260,7560,90,90,72,12,28,
6,6,120,12,36,28,80,50,6,6,36,52,12,14,4,30,10,18,46,4,24,8,8,16,8,8,4,20,8,4,
4,4,4,8,12,12,12,4,4,12,4,4,4,12,8,8,4,8,8,4,48,90,18,12,420,84,8,4,4,4,12,4,8
,4,2,2,80,24,2,12,2,2,6,6,6,6,2,2,2,2,24,12,12,4,12,8,10,2,12,12,4,4,2,6,6,6,2
,4,2,32,8,4,2,12,4,2,2,4,10,4,2,4,4,4,4,4,8,4,8,4,4,4,90,8,12,4,12,4,6,2,2,6,4
,8,20,12,12,12,8,4,2,2,12,2,2,2,8,2,4,4,4,2,2,4,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,
2,2,2,2,2,4,2,2,4,2,2,2,2,2,2,2,8,2,4,2,4,8,12,12,6,6,2,2,2,6,2,4,2,2,4,4,4,2,
8,4,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2]
,[5405400,32760,1560,3000,18900,630,54,2100,120,240,280,120,152,96,48,180,60,
24,840,104,1260,260,60,96,36,16,12,6,120,108,30,18,6,6,120,24,16,16,8,40,24,24
,24,20,24,8,8,8,20,80,32,40,24,24,8,16,8,100,4,8,32,20,20,18,210,6,6,12,18,4,6
,12,2,90,60,8,20,12,12,24,12,6,6,18,6,12,6,2,4,4,2,6,6,6,2,30,10,14,18,6,2,2,8
,8,8,40,8,8,8,4,8,8,4,4,8,4,4,12,8,8,8,4,4,8,20,4,8,12,8,4,12,2,6,6,4,2,6,20,
16,12,4,2,12,4,4,2,8,4,2,4,4,30,6,2,2,2,4,2,6,4,8,2,2,6,6,2,4,6,12,4,4,4,2,2,2
,2,2,4,8,2,4,2,6,6,6,2,4,12,12,4,6,2,2,4,2,2,2,2,4,2,4,2,2,2,8,4,4,4,4,8,4,8,4
,4,4,6,4,2,2,2,6,2,6,2,2,6,2,2,4,4,2,2,2,6,2,2,2,2,2,4,2,2,2,2,2,4,4,4,2,2,2,2
,2,2,4,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,4,2,2,2,2,2,2,4,2,4,4,2,4,2
,6,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[5405400,37800,360,3480,18900,630,54,7560,
2100,400,600,168,168,24,40,300,120,420,84,40,8,1260,60,60,132,12,6,180,84,30,
54,18,18,240,120,24,48,40,24,32,72,40,72,60,80,80,48,16,24,16,8,16,4,8,40,20,8
,8,8,4,8,12,12,12,18,210,6,90,54,6,18,30,12,12,10,6,6,90,36,24,28,24,30,6,10,6
,6,30,10,4,12,6,2,6,8,4,6,2,12,12,4,60,24,24,32,24,20,8,8,4,4,4,4,4,16,8,8,4,4
,4,4,8,8,12,8,8,4,4,8,8,4,4,2,6,6,6,18,20,12,2,8,2,6,4,4,2,2,2,2,4,2,6,2,30,18
,6,6,6,6,8,6,18,6,12,10,6,6,8,8,6,18,6,12,10,2,6,8,8,12,4,2,2,4,4,4,4,4,2,2,12
,4,2,2,4,4,2,2,2,4,2,2,24,8,4,4,4,8,4,4,4,4,4,6,2,2,18,2,6,6,6,6,2,6,6,6,6,6,4
,2,2,6,2,2,2,2,6,6,6,6,8,6,4,4,2,2,2,4,2,2,2,4,2,2,2,4,2,2,2,2,2,4,2,2,2,2,2,4
,2,2,4,2,2,2,2,2,2,2,2,4,2,2,6,6,2,6,2,6,6,2,2,2,6,2,2,2,2,2,6,2,2,2,2,2,2,2,2
,2,2,2,2,2,4,2,2,6,2,2,2,2,2,6,6,2,2,2,2,6,2,2,2,2,2,2,2],[5405400,63000,1560,
1880,18900,630,54,8400,120,80,1400,120,216,96,32,320,24,96,40,8,2100,260,60,36
,4,12,300,68,50,18,42,6,2,1400,16,40,120,120,120,320,24,8,8,8,32,48,40,16,8,8,
8,8,40,8,8,8,8,16,16,18,210,6,60,12,20,18,20,8,14,2,6,300,68,20,20,60,24,8,20,
20,12,6,2,4,2,6,6,8,4,6,2,24,4,320,120,120,8,16,16,8,8,40,16,8,8,8,8,8,8,8,8,
16,8,8,12,6,6,4,2,6,2,4,12,4,8,2,8,6,2,4,4,4,4,2,2,50,6,14,2,2,20,20,4,6,8,60,
20,20,20,20,20,12,4,4,4,2,20,20,8,4,4,8,4,4,4,24,4,4,4,4,2,4,4,120,16,8,8,8,8,
8,8,8,6,4,2,2,6,2,2,6,2,2,6,2,6,6,14,2,20,4,2,2,2,2,2,2,2,20,20,20,20,4,8,4,4,
4,4,4,4,4,4,4,4,4,2,4,4,4,4,4,4,4,4,4,4,4,8,4,4,6,2,2,2,2,2,6,2,2,2,2,2,6,2,2,
2,2,2,20,2,4,4,4,4,2,4,4,4,4,4,4,2,4,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2],
[5405400,37800,360,3480,94500,1260,7560,2100,400,600,168,168,24,40,300,120,420
,84,40,8,1260,60,324,24,1620,132,36,240,120,24,48,40,24,32,72,40,72,60,80,80,
48,16,24,16,8,16,4,8,40,20,8,8,8,4,8,12,12,12,1260,7560,90,90,246,30,12,60,12,
10,90,36,24,28,24,62,6,10,30,26,12,20,120,16,4,4,12,12,4,60,24,24,32,24,20,8,8
,4,4,4,4,4,16,8,8,4,4,4,4,8,8,12,8,8,4,4,8,8,4,4,24,90,18,36,48,4,8,2,32,4,4,
10,2,4,2,4,240,24,6,48,6,6,8,18,6,12,10,6,6,8,8,6,18,6,12,10,6,16,8,12,4,2,2,4
,4,4,4,4,2,2,12,4,2,2,4,4,8,2,2,4,2,2,24,8,4,4,4,8,4,4,4,4,4,90,4,4,12,12,18,2
,6,6,4,60,6,24,6,8,8,4,2,20,4,2,6,6,6,6,8,6,4,4,2,2,2,4,2,2,2,4,2,2,2,4,2,8,2,
2,2,4,2,2,2,2,2,4,2,2,4,2,2,2,2,2,2,2,2,4,4,12,18,6,2,6,6,2,6,4,2,2,24,8,4,2,6
,4,2,2,2,2,2,4,2,2,2,2,2,2,4,2,2,6,4,2,2,2,2,6,6,2,2,2,4,6,2,2,2,2,2,2,2],[
5405400,52920,1080,2520,94500,1260,15120,2520,120,240,920,120,312,144,48,216,
24,840,72,40,8,3780,180,252,24,1260,180,36,240,120,144,48,48,120,72,24,120,72,
24,24,24,24,840,40,72,24,24,24,24,8,40,8,8,8,40,40,8,8,8,24,24,8,1260,7560,90,
540,72,36,12,68,36,120,36,60,20,84,12,36,12,24,32,12,4,120,16,4,4,24,4,120,24,
48,24,24,24,40,40,8,8,8,8,8,40,40,8,8,8,8,8,24,24,8,8,8,8,8,8,8,24,90,18,36,
420,36,4,120,8,4,8,8,16,4,4,4,4,120,72,6,12,36,12,12,36,12,12,12,24,20,12,12,
12,12,12,12,8,24,4,4,8,4,4,4,8,4,4,4,8,4,4,4,24,40,8,8,8,8,8,8,8,8,8,90,4,12,
36,4,6,6,6,6,4,60,6,24,12,12,20,12,4,12,2,20,4,2,12,12,12,12,12,8,4,4,4,4,4,4,
4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,12,6,18,2,6,2,6,6,4,2,2,12,20,4,4,4,2,12
,4,4,4,4,4,4,4,4,4,4,4,4,6,4,2,2,2,2,6,6,2,2,4,4,6,2,2,2,2,2,2,2],[5405400,
100800,720,2280,94500,1260,7560,12600,200,1560,144,72,24,264,60,8,1120,72,8,
11760,1260,120,204,12,1320,156,12,140,1560,48,12,12,36,180,8,4,32,1050,170,30,
18,46,30,18,6,2,8,6,4,140,8,4,4,32,12,12,1260,7560,90,90,144,12,12,6,14,1320,
48,12,144,22,18,6,48,12,4,12,14,90,14,4,4,18,22,4,180,18,6,4,4,2,4,4,4,2,4,140
,2,8,4,4,4,2,4,2,2,32,18,18,12,12,6,6,2,18,2,6,2,4,2,1260,12,120,24,12,1050,90
,30,2,90,12,4,2,12,14,2,2,8,4,2,2,140,48,2,12,2,2,12,12,2,4,4,2,144,12,4,2,12,
12,2,8,12,12,4,8,2,12,4,12,2,8,4,22,18,2,2,4,2,4,2,2,2,4,2,4,4,2,2,18,2,2,6,4,
2,2,2,2,2,2,90,120,24,12,4,12,12,4,4,4,18,4,140,12,18,2,4,2,4,2,12,2,2,2,2,2,2
,12,4,2,2,12,2,2,8,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,4,2,2,2,2,4
,2,2,90,2,12,12,12,12,12,4,2,4,4,4,4,2,18,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,
2,2,12,12,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2],[5405400,25200,960,3240,
18900,630,54,840,120,240,280,144,192,32,64,216,60,16,1260,68,8,840,160,150,108
,18,18,4,6,120,108,18,42,12,32,16,16,40,48,24,32,16,8,20,80,56,16,8,24,16,16,8
,4,4,160,8,8,8,20,24,18,210,6,6,12,18,18,4,6,12,2,30,48,24,24,12,12,8,16,42,18
,10,8,2,18,4,2,6,6,90,6,4,6,2,14,18,2,2,12,8,8,40,8,8,4,4,8,8,8,4,8,4,4,4,20,
16,8,8,8,20,4,8,4,18,6,6,6,4,4,6,50,4,6,6,2,6,2,6,2,6,4,8,2,2,4,2,4,2,12,14,2,
2,4,2,8,4,4,4,4,12,4,4,4,8,4,18,2,2,2,2,2,4,8,2,4,2,12,4,12,4,2,2,2,6,2,6,6,2,
2,4,4,2,2,4,2,2,8,4,4,4,8,4,8,4,4,6,6,4,6,2,6,6,6,2,2,2,2,6,2,4,6,2,14,2,2,2,2
,2,4,2,2,2,2,2,4,4,4,2,2,2,2,2,2,4,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2
,2,4,2,2,2,4,2,2,4,6,2,4,2,4,2,6,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,4,2,2,2,2,2,2
,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[5405400,42840,
1080,2040,94500,1260,15120,2100,120,400,760,120,312,144,64,180,60,24,280,24,
1260,180,72,1920,204,60,400,120,144,24,64,64,24,120,72,24,120,60,24,24,24,24,
60,280,20,24,8,8,12,12,4,8,4,20,4,8,8,12,4,1260,7560,90,540,246,36,12,18,12,
100,6,40,90,60,48,20,28,24,36,16,18,6,12,6,30,2,6,34,4,120,60,24,64,24,24,24,
24,24,20,8,8,8,4,4,4,4,4,4,4,4,8,12,4,4,4,4,4,8,4,4,4,90,18,60,30,6,2,2,2,2,2,
2,2,2,280,72,10,48,40,6,12,6,24,36,6,16,16,16,6,6,6,18,6,20,6,12,12,12,12,6,6,
6,34,6,2,2,4,8,2,6,2,2,2,2,2,6,2,2,2,2,2,8,2,2,24,24,4,8,4,4,4,4,4,4,4,90,36,
12,18,6,10,6,4,60,60,6,6,40,12,12,6,6,6,12,12,12,16,6,6,6,2,8,2,6,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,2,2,2,2,2,2,2,2,4,18,18,10,6,2,6,6
,4,2,2,24,12,12,6,4,2,2,2,2,2,8,2,4,2,2,2,2,2,2,2,2,6,6,2,10,6,6,2,2,4,2,6,6,2
,2,2,2,2,2],[5405400,68040,360,2360,18900,630,54,7560,8400,240,1720,168,232,24
,24,440,60,420,20,2100,60,96,360,44,50,54,54,18,2,240,1400,24,24,24,24,24,168,
136,168,360,60,420,80,20,20,20,8,8,8,80,20,8,8,18,210,6,90,54,60,18,32,18,28,6
,6,14,2,10,6,300,44,36,28,72,18,6,6,32,24,6,30,2,2,6,6,2,2,320,60,120,136,24,
24,24,80,20,20,20,8,8,8,8,8,8,8,8,20,8,8,6,6,6,18,2,30,2,2,2,2,6,2,2,2,2,50,18
,18,6,2,20,6,24,6,6,6,18,6,6,6,6,6,6,6,60,32,24,28,20,24,20,24,6,6,6,2,2,2,6,2
,2,2,2,2,2,2,2,6,2,6,2,2,2,2,2,2,2,2,2,120,24,8,20,8,8,8,8,8,6,18,2,6,2,6,6,2,
6,2,6,6,6,10,14,2,6,20,6,20,24,20,20,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,6,6,2,6,2,2,6,6,2,2,2,2,6
,6,20,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,6,2,6,2,2,2,2,2,6,2,2,2,
2,2,2,2],[5405400,40320,720,4200,94500,1260,7560,1260,280,840,144,144,72,24,
396,72,8,700,84,40,2520,120,504,48,1140,132,12,140,48,12,12,36,72,96,8,4,36,
210,70,78,50,14,18,30,18,6,12,8,6,40,60,4,8,20,12,12,1260,7560,90,90,90,18,12,
10,30,36,24,92,50,18,6,42,54,4,12,16,4,120,8,12,28,4,4,18,36,6,4,20,8,6,4,4,4,
2,12,6,8,4,4,2,4,2,2,14,18,12,12,12,6,6,12,2,6,2,6,4,2,2,48,90,18,12,210,78,8,
4,4,2,24,8,8,2,2,2,140,48,2,2,6,12,12,6,6,12,12,12,4,2,18,6,8,6,6,6,2,2,4,4,4,
8,2,2,14,6,10,10,4,4,12,4,4,2,2,4,6,2,8,6,4,4,2,2,2,6,6,4,2,2,2,2,2,2,90,8,12,
4,12,4,6,2,2,6,4,18,4,12,12,14,6,4,2,2,20,6,2,2,6,2,6,2,2,4,4,2,2,4,2,2,2,2,2,
2,2,2,2,2,2,2,4,2,2,2,4,4,2,4,2,8,6,6,6,2,2,2,2,2,2,2,8,6,6,12,12,2,2,2,6,2,4,
2,2,6,4,6,2,2,2,6,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2],[5405400,40320,1680,3240,18900,630,54,22680,840,480,840,48,
144,200,24,240,72,24,420,92,40,840,210,280,144,36,14,12,6,300,36,18,42,12,420,
144,12,4,12,24,68,24,12,60,210,30,78,26,14,26,30,18,6,12,8,10,40,20,4,12,20,12
,12,18,210,6,270,6,6,18,12,6,2,30,36,8,36,42,50,6,18,14,12,6,2,12,14,8,6,6,6,6
,8,20,12,4,2,2,54,12,2,12,20,8,6,4,4,4,2,12,6,8,8,8,6,4,2,2,14,6,12,4,12,6,6,8
,6,2,2,6,4,2,2,12,2,6,6,2,4,6,210,14,12,4,2,4,4,2,8,2,6,2,2,2,12,14,2,6,2,36,
36,6,2,4,4,4,12,6,2,2,6,8,6,6,6,6,2,2,2,4,4,2,2,2,6,14,10,10,2,8,4,4,4,2,2,2,4
,2,6,8,6,4,4,2,6,2,2,6,4,2,2,2,2,2,2,6,4,2,2,2,6,2,6,2,2,6,2,6,2,12,6,14,2,2,2
,2,2,2,6,6,2,6,2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,4,4,6,8,6,4,2,6
,2,2,2,2,2,2,2,2,4,2,6,2,4,2,2,2,2,6,2,2,2,2,2,2,2,6,2,6,2,2,2,2,4,2,2,2,2,2,2
,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[5405400,45360,1920,
360,18900,2520,216,15120,2520,120,120,200,192,32,840,40,32,840,320,72,24,540,
36,24,120,120,120,16,16,840,40,40,8,16,24,8,40,40,16,16,8,72,360,60,36,6,180,
72,12,20,12,48,16,24,16,24,4,120,40,40,16,40,40,16,16,8,8,8,24,24,8,120,20,12,
6,12,8,4,12,12,12,8,8,24,4,4,4,4,8,8,4,4,4,8,40,16,8,8,18,6,8,60,6,12,4,4,8,8,
8,4,4,4,4,4,4,8,6,6,2,2,20,12,6,4,4,8,4,4,4,2,6,4,4,2,6,2,2],[5405400,15120,
480,2280,18900,2520,216,15120,480,120,120,48,32,72,8,72,120,16,80,120,72,24,12
,180,84,24,420,120,120,8,4,8,72,120,8,60,8,12,4,4,8,60,8,8,8,12,4,72,360,60,36
,6,180,48,12,12,8,8,8,4,8,8,8,12,120,60,8,8,4,60,8,4,8,4,8,4,8,4,4,4,12,8,60,8
,4,4,2,4,8,2,6,4,4,42,12,12,4,2,4,12,6,4,2,2,4,6,4,6,4,4,60,4,8,4,4,4,18,6,4,
60,6,12,4,2,2,4,4,2,4,2,4,4,6,6,4,2,2,4,2,2,6,2,60,4,2,4,6,2,4,2,2,2,2,2,6,4,2
,6,2,2,2],[5405400,45360,3240,94500,1260,15120,1260,120,360,1080,144,324,36,
420,108,8,2520,324,24,1440,108,36,360,120,72,108,36,420,108,36,36,24,12,8,4,8,
12,36,24,1260,7560,90,540,90,36,12,54,36,18,24,30,24,108,36,18,42,2,4,30,18,4,
4,18,30,120,36,36,8,4,8,4,4,12,12,12,8,4,36,24,12,12,12,12,4,4,24,90,18,36,210
,54,4,30,4,8,6,6,18,6,4,2,2,4,180,6,24,18,12,18,36,12,12,18,6,2,2,30,18,6,6,6,
4,6,4,6,4,6,8,2,6,6,8,4,4,12,12,4,4,4,4,90,4,12,36,4,6,6,6,6,4,60,18,6,12,18,
12,18,6,2,4,2,6,2,6,6,4,2,2,6,2,6,4,2,4,2,2,2,2,4,2,6,2,2,2,2,6,8,6,6,6,6,6,2,
2,2,2,2,4,4,6,18,12,2,6,2,6,6,4,2,2,4,2,2,6,6,2,6,4,2,2,2,6,6,2,2,2,2,2,2,2,2,
2,2,6,4,2,6,6,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2],[5405400,60480,720,2280,94500,
1260,7560,5880,200,600,144,72,24,168,60,8,840,96,8,5040,120,252,24,1080,156,36
,60,600,48,12,12,36,60,8,4,24,630,130,42,6,42,30,18,6,6,8,6,4,60,8,4,12,24,12,
12,1260,7560,90,90,192,60,12,60,6,14,360,36,24,38,18,6,24,12,4,12,14,30,18,4,4
,6,42,60,6,6,4,12,6,4,4,4,2,4,60,6,8,4,4,4,2,4,2,2,24,6,6,12,12,6,6,6,6,2,6,6,
4,2,24,90,18,36,630,42,4,6,10,6,14,8,4,10,4,4,2,2,4,60,48,6,60,6,60,6,12,6,6,
24,12,4,2,6,4,18,6,6,6,10,4,2,4,24,4,2,4,6,6,4,6,6,4,4,2,2,6,2,2,6,4,6,2,2,2,2
,2,90,4,4,12,12,18,2,6,6,4,6,6,4,60,6,60,12,6,6,4,2,4,2,2,6,6,6,4,4,2,2,2,2,6,
4,4,2,2,2,2,2,4,2,4,2,2,6,2,6,6,6,6,6,6,6,2,2,2,2,2,2,4,18,6,12,2,6,6,2,6,4,2,
2,4,2,2,6,2,2,6,4,2,6,2,6,2,2,2,2,2,2,2,2,2,2,2,6,4,2,6,6,2,2,2,2,2,2,2,6,2,2,
2,2,2,2,2],[5405400,40320,1680,1640,18900,630,54,22680,2100,240,440,144,200,24
,92,36,24,840,96,8,210,280,60,36,36,2,12,480,92,20,18,6,12,2,180,200,144,12,4,
12,32,24,12,24,630,90,42,6,18,30,26,6,6,8,10,4,60,8,4,24,24,12,4,18,210,6,270,
60,56,44,18,18,2,2,2,36,20,6,50,6,6,2,4,12,6,2,12,2,2,6,30,10,4,6,2,6,18,6,20,
18,2,12,12,6,4,4,4,2,4,60,6,8,4,8,8,6,4,2,2,12,6,6,12,4,6,2,18,6,2,2,6,4,2,12,
6,6,2,4,6,2,210,20,2,12,4,14,10,6,6,4,2,2,2,4,8,2,2,2,20,12,2,2,2,20,18,32,18,
36,6,2,4,12,6,2,2,2,18,6,6,6,6,2,4,2,2,4,6,2,4,6,2,8,6,6,4,4,2,2,6,6,2,2,4,6,2
,2,2,2,2,6,4,2,2,6,6,2,2,2,2,6,2,2,2,2,20,18,20,12,2,2,2,2,2,2,2,2,6,2,6,2,4,2
,2,2,2,6,2,4,4,2,2,2,2,2,4,6,8,2,6,2,2,2,2,6,6,6,6,6,2,2,2,2,2,2,4,6,2,2,4,2,2
,2,6,2,2,2,2,2,2,2,2,2,2,2,6,4,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2],[5405400,45360,3240,18900,630,54,30240,840,360,720
,1080,48,216,60,420,108,8,840,210,108,18,6,360,108,54,54,720,360,24,72,60,420,
108,36,36,16,24,8,4,8,24,36,16,18,210,6,360,54,6,18,36,18,18,36,6,36,30,8,36,
36,18,10,6,18,6,6,6,30,10,4,6,2,18,6,6,360,60,12,8,4,8,4,4,24,24,24,8,4,36,16,
8,8,24,8,4,4,2,6,6,6,18,210,18,2,30,4,4,6,6,10,2,4,2,6,6,2,2,18,6,36,6,36,6,36
,4,4,6,2,6,6,6,6,6,18,6,6,6,6,4,2,2,4,2,2,4,6,4,6,6,6,8,4,4,24,8,4,4,4,4,6,2,2
,18,2,6,6,6,6,2,6,6,6,36,6,6,6,18,2,2,2,2,6,6,2,4,2,2,2,2,6,2,4,2,4,2,2,2,2,4,
2,6,6,6,6,2,2,4,2,6,6,6,6,2,2,2,2,2,4,2,6,6,2,2,6,2,6,6,2,2,2,2,2,2,6,6,2,6,4,
2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,6,6,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2],[
5405400,65520,4200,94500,1260,15120,2100,120,520,1400,144,396,60,700,132,8,
7560,1260,540,60,840,60,60,520,120,72,132,60,700,132,44,44,24,20,8,4,8,20,44,
24,1260,7560,90,540,30,36,12,18,12,20,6,16,90,24,180,108,30,46,36,60,6,12,90,
22,4,4,6,10,4,120,60,36,8,4,8,4,4,20,20,20,8,4,44,24,12,12,20,12,4,4,1260,60,
60,630,90,90,10,90,4,8,10,10,22,6,4,2,6,4,4,100,10,16,6,12,6,108,12,12,36,18,
10,6,6,12,10,6,2,2,4,2,4,6,4,4,6,4,4,10,8,6,2,2,8,4,4,20,12,4,4,4,4,90,36,12,
60,36,12,4,4,60,6,6,6,12,6,12,30,18,10,6,6,4,2,6,6,2,2,2,4,2,2,6,4,6,6,4,2,4,2
,2,2,2,4,2,10,6,6,6,2,6,8,6,2,2,2,2,2,2,2,2,2,4,90,10,36,12,10,4,4,4,4,4,4,2,2
,2,18,6,6,6,2,2,2,4,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,10,6,2,2,4,2,2,2,6
,6,2,2,2,2,2,2],[5405400,30240,2160,2600,18900,630,54,7560,2100,240,280,240,
216,40,140,60,24,840,128,8,360,90,108,54,18,12,18,6,360,44,20,54,18,2,60,200,
144,20,12,36,24,24,12,24,210,110,38,2,38,42,30,10,6,8,10,4,20,8,4,24,32,12,12,
18,210,6,90,54,60,18,32,28,6,6,2,2,60,18,54,10,6,12,12,18,18,4,6,18,2,18,6,2,2
,90,14,4,6,2,2,6,2,2,20,6,6,12,12,6,4,4,4,2,4,20,6,8,4,8,8,6,4,2,2,20,2,2,12,
12,10,6,18,2,2,6,6,4,2,18,18,2,18,2,30,12,18,6,6,2,18,14,10,18,4,6,2,4,8,2,2,6
,2,2,20,6,6,2,20,6,24,6,36,10,6,12,12,6,2,18,18,6,2,6,2,2,2,2,2,2,4,2,2,2,4,2,
2,2,4,10,6,8,2,2,4,4,2,2,2,6,2,6,4,6,2,2,2,2,2,6,18,2,18,18,2,2,2,2,2,6,6,2,2,
20,6,4,6,2,6,6,6,2,2,6,2,2,2,6,6,2,2,2,4,2,2,2,2,2,6,6,4,4,2,2,2,2,2,4,6,8,2,6
,6,2,6,6,10,2,2,2,2,2,2,2,2,2,2,6,6,2,18,2,6,2,2,2,2,2,2,2,2,2,2,6,2,6,2,2,2,2
,4,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,6,2,6,6,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2
],[5405400,15120,1440,1960,18900,2520,216,15120,240,120,120,48,32,72,24,72,40,
32,240,72,72,24,24,12,180,52,40,4,140,120,120,8,12,8,72,40,8,20,16,12,4,12,8,
20,8,8,8,20,4,72,360,60,36,6,180,24,12,12,8,8,8,12,8,4,8,16,4,120,20,8,8,12,20
,8,4,8,12,8,4,8,4,4,24,4,4,8,12,4,6,4,2,4,8,6,6,8,20,2,14,12,12,4,6,4,4,2,4,2,
2,4,10,4,2,4,4,20,12,8,4,4,4,18,6,4,60,6,12,4,2,2,2,4,4,6,4,6,4,4,2,2,4,2,2,4,
2,6,2,2,12,4,6,2,20,2,2,6,4,2,2,2,2,6,2,4,2,2,6,2,2,2],[5405400,105840,3240,
94500,1260,15120,12600,120,600,2120,288,72,1680,72,40,11760,1260,360,36,1620,
36,36,600,1560,120,216,72,1680,280,72,48,48,40,24,12,40,280,24,48,1260,7560,90
,540,144,36,12,20,12,1320,216,120,24,16,36,36,8,240,8,48,4,120,180,72,40,40,12
,12,12,40,280,12,24,24,24,36,48,36,24,36,12,12,1260,36,120,36,1050,90,54,6,240
,48,8,8,8,4,8,180,6,12,12,12,120,144,36,12,16,8,8,48,4,4,48,4,48,4,4,8,8,4,4,
40,12,12,24,36,12,12,12,12,90,120,12,36,36,36,12,12,60,18,6,12,140,30,18,6,6,
20,12,8,6,48,4,4,4,8,4,4,4,8,4,8,8,8,4,4,4,4,4,4,4,4,4,12,90,6,36,12,12,12,12,
6,12,12,20,6,18,18,6,6,4,6,8,6,4,4,4,4,4,4,4,6,12,2,12,2,2,2,6,6,2,6,4,6,2,2,2
,2,2,2,2],[5405400,60480,720,3240,94500,1260,7560,2100,120,840,144,144,72,24,
372,48,8,1260,84,40,7560,1260,120,384,36,540,180,36,60,48,12,12,36,72,96,8,4,
20,630,30,66,46,18,18,30,18,2,4,8,6,40,140,4,8,36,12,12,1260,7560,90,90,30,30,
12,12,12,18,90,48,12,24,108,10,18,6,54,42,4,36,12,12,240,8,12,36,4,6,36,6,4,20
,8,2,4,4,4,2,4,2,8,4,4,2,4,2,2,18,14,12,12,12,6,6,12,6,18,2,6,12,6,2,1260,36,
24,36,630,90,66,6,90,18,2,2,8,10,6,18,6,4,60,48,6,6,6,8,12,2,4,4,2,12,12,12,4,
2,18,6,6,12,12,4,6,2,4,12,36,2,2,12,4,2,4,6,8,6,2,4,2,2,2,4,4,2,2,2,6,6,4,2,2,
2,2,6,2,90,24,4,12,36,12,4,12,6,6,4,6,12,12,18,2,4,6,6,20,6,2,2,6,12,4,2,2,6,2
,2,2,2,6,2,4,2,2,4,2,2,6,6,2,6,8,4,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,90,6,12,12,12
,12,4,6,4,4,2,4,6,2,6,6,2,2,2,6,2,2,2,2,2,2,4,2,2,2,2,2,2,6,12,2,4,2,2,2,6,6,2
,2,2,6,2,2,2,2,2,2,2],[5405400,25200,960,3560,18900,630,54,2100,120,320,200,96
,192,32,64,164,72,16,840,96,40,160,90,144,18,18,16,6,6,300,68,20,18,6,12,2,200
,32,16,16,40,48,20,16,8,24,120,24,56,24,8,16,40,16,12,4,40,8,4,24,24,16,18,210
,6,60,12,20,20,8,2,2,2,48,16,24,8,16,6,16,8,2,6,4,4,2,8,6,2,6,2,2,120,6,8,24,4
,6,20,8,8,4,4,8,8,4,40,12,12,4,8,4,4,4,24,16,8,8,8,4,8,12,4,18,6,2,4,4,6,2,30,
16,6,6,2,2,8,8,8,24,2,8,8,2,4,20,12,2,2,2,20,20,4,8,8,8,16,8,4,2,2,8,2,8,4,4,2
,24,4,6,8,4,4,2,8,8,4,4,4,8,4,4,8,12,4,4,4,6,4,2,2,6,2,2,2,2,2,6,6,2,2,2,20,4,
4,2,2,2,6,2,2,2,2,2,2,4,8,2,8,2,4,4,4,8,4,4,4,8,4,8,8,8,4,4,4,4,4,4,4,4,4,4,6,
2,2,2,4,4,6,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,8,2,4,4,4,4,4,4,4,2,4,2,2,2,2,2,2,2,
2,2,2,2,4,2,2,2,2,2,2,2,2],[5405400,30240,2160,2280,18900,630,54,7560,840,160,
360,48,240,216,40,192,48,24,1260,84,40,840,360,150,72,54,18,18,180,84,54,54,60
,144,20,12,36,24,36,24,12,20,210,50,30,34,6,30,42,14,2,4,8,10,40,140,4,20,36,
12,4,18,210,6,90,54,6,18,30,18,12,12,10,30,48,36,8,12,6,54,10,42,18,6,12,18,30
,4,18,18,120,6,8,12,12,4,6,6,12,6,12,20,8,2,4,4,4,2,4,2,8,8,8,6,4,2,2,6,14,12,
12,4,10,2,8,18,18,2,2,12,6,2,18,18,6,6,18,50,18,6,6,30,30,6,6,4,6,6,2,6,2,6,8,
18,6,6,6,8,36,6,4,4,2,12,4,4,12,6,18,18,2,2,18,2,12,4,6,2,2,4,12,12,2,6,2,12,4
,6,2,4,2,8,2,6,4,2,2,2,4,4,2,6,2,6,2,4,2,2,2,2,6,2,6,6,6,18,18,18,6,6,6,6,6,6,
6,6,10,14,6,6,6,2,2,6,2,2,12,4,2,2,6,2,2,2,2,6,2,2,4,2,2,8,6,6,2,2,6,2,4,4,2,2
,2,2,2,2,2,4,2,2,2,2,2,2,2,6,6,18,2,2,6,6,6,6,6,6,6,2,2,6,6,6,2,2,2,6,2,2,2,2,
2,2,2,4,2,2,2,2,2,2,6,2,2,6,2,2,2,6,6,2,2,2,6,2,2,2,2,2,2,2],[5405400,22680,
1560,1240,18900,2520,216,15120,240,240,360,72,248,144,48,48,40,8,420,260,36,
180,52,40,72,24,4,140,240,144,48,48,120,72,28,48,24,24,24,40,20,8,8,4,4,4,20,8
,4,4,72,360,60,36,6,180,24,12,12,8,52,36,12,12,12,36,12,24,4,4,120,28,48,24,24
,24,20,4,4,20,4,4,8,4,4,4,4,4,12,8,4,2,2,4,20,24,4,12,2,14,12,12,12,36,12,12,
12,12,14,24,12,12,12,4,2,4,2,4,2,2,2,24,20,4,4,4,4,4,18,6,4,4,60,6,12,14,12,12
,12,12,4,2,2,2,2,2,2,2,2,2,2,2,4,6,6,2,2,20,4,2,12,12,2,2,2,2,2,2,6,2,2,4,6,2,
2,2],[5405400,78120,360,1560,94500,1260,7560,6300,80,760,72,168,24,8,180,1540,
84,40,8,9660,1260,60,156,12,780,84,12,80,360,24,8,8,72,24,72,60,840,60,24,8,8,
12,12,4,40,260,8,8,8,4,8,68,36,28,1260,7560,90,90,18,18,28,2,630,36,24,12,64,6
,6,2,42,14,12,240,16,4,4,12,52,4,4,24,8,20,8,4,4,4,4,60,8,12,4,4,4,4,4,8,60,8,
4,4,24,28,16,8,8,4,1260,12,60,12,12,840,90,24,2,90,6,2,2,6,2,2,2,80,24,2,2,6,6
,6,2,2,2,18,18,6,12,6,14,6,6,2,2,12,8,8,52,4,4,2,14,4,6,6,2,2,4,16,6,2,4,14,2,
8,24,4,8,4,4,4,4,8,4,4,4,90,60,12,4,12,4,12,4,4,8,60,12,4,8,2,20,4,2,6,2,2,6,8
,2,6,2,2,2,2,2,2,6,2,6,2,2,4,2,2,4,2,2,2,2,2,2,4,2,4,2,2,2,8,6,6,14,2,2,2,2,2,
4,90,2,6,6,6,6,12,4,2,4,4,4,4,4,8,4,2,2,6,2,2,4,2,4,2,2,2,2,2,2,2,2,2,6,6,2,2,
2,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2],[5405400,47880,840,1560,18900,630,54,
22680,2100,240,600,72,200,72,24,60,1260,92,40,8,1260,210,140,90,60,18,18,2,6,
300,36,30,18,6,6,240,120,72,24,24,24,8,72,20,840,60,24,8,8,12,12,4,40,140,8,8,
8,12,24,44,44,20,18,210,6,270,6,6,12,6,2,90,36,32,12,30,24,18,18,6,6,2,6,6,2,2
,2,6,120,6,8,4,6,2,20,12,4,6,2,2,8,24,20,8,4,4,4,4,60,8,12,4,4,4,4,4,24,20,8,
12,12,8,20,16,8,8,4,18,6,6,6,2,2,6,210,30,2,6,6,2,90,6,2,2,6,2,2,2,30,6,2,2,6,
2,18,18,6,6,6,6,6,2,12,2,2,2,6,6,2,2,20,8,8,12,4,4,6,6,2,2,2,2,2,6,6,2,2,4,8,2
,6,2,4,2,6,8,2,8,12,8,4,4,4,4,8,4,4,4,6,6,2,2,2,6,2,2,6,6,2,2,2,30,6,2,2,2,2,2
,2,2,2,2,6,6,2,2,2,2,6,2,2,2,2,2,2,6,6,2,2,2,4,2,2,4,2,2,2,2,2,2,4,2,4,6,6,6,8
,2,2,2,2,2,2,2,2,2,4,6,2,6,2,6,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,4,2
,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[5405400,45360,
1640,18900,630,54,30240,2100,360,480,680,68,24,840,32,40,210,60,6,540,164,20,
54,18,2,480,200,360,36,24,840,80,32,16,16,40,12,4,40,80,12,16,18,210,6,360,54,
60,18,36,68,68,24,48,2,2,20,6,2,6,6,6,32,24,4,2,2,360,20,24,40,40,4,4,4,40,80,
4,12,12,12,8,16,8,12,8,4,4,6,6,6,18,2,210,20,6,6,2,20,6,6,2,20,48,36,36,24,6,2
,24,32,16,16,2,8,4,12,4,2,2,2,4,8,12,16,40,4,4,12,8,4,4,4,4,6,18,2,6,2,6,6,2,6
,2,6,6,2,2,20,36,24,20,6,6,2,2,2,12,8,2,2,2,4,4,12,12,12,8,16,8,8,4,4,4,4,4,4,
4,4,6,6,2,6,2,6,2,6,2,2,2,2,2,2,6,2,2,12,8,4,4,4,2,2,2,4,4,4,4,6,2,6,6,2,2,2,2
,2,2,2,4,6,2,2,2,2,2,2,2],[5405400,65520,1320,94500,1260,15120,5880,120,280,
840,96,24,1120,24,40,5040,72,1380,132,60,280,600,120,72,24,1120,120,24,16,16,
40,8,4,40,120,8,16,1260,7560,90,540,192,36,12,96,12,84,24,28,360,40,24,120,24,
40,4,4,120,60,24,40,40,4,4,4,40,120,4,8,8,8,12,16,12,8,12,4,4,90,18,60,630,18,
120,8,100,10,60,28,72,12,24,24,24,40,24,16,16,4,12,4,8,4,8,8,4,12,8,16,40,4,4,
8,12,4,4,4,4,90,36,12,18,6,10,6,4,60,6,6,6,60,12,24,60,10,6,20,8,12,2,2,8,4,4,
8,8,8,12,16,12,12,4,4,4,4,4,4,4,4,18,18,10,6,2,6,6,4,2,2,20,2,6,6,2,8,12,4,4,4
,2,2,2,4,4,4,4,6,6,6,6,10,2,2,2,2,4,6,6,2,2,2,2,2,2],[5405400,45360,1000,18900
,2520,216,15120,2520,600,280,200,840,200,840,120,540,100,40,4,560,120,120,200,
840,40,200,160,120,120,40,160,72,360,60,36,6,180,72,60,20,28,40,24,20,120,40,
40,80,120,40,160,120,24,12,4,120,20,60,20,2,56,12,12,20,24,20,4,16,12,12,4,16,
120,80,40,40,40,18,6,4,60,6,12,20,12,4,16,4,4,8,12,40,6,2,6,2,60,20,20,2,12,8,
4,4,4,6,2,20,4,6,2,2,2],[5405400,80640,720,3240,37800,315,7560,9660,480,1720,
80,120,40,324,108,24,1120,120,8,5040,315,45,216,9,15,840,72,45,15,9,300,1320,
48,20,12,12,216,24,12,72,490,190,30,18,54,34,22,10,6,8,10,4,100,8,4,24,48,4,12
,315,180,120,9,3,40,12,9,5,3,720,45,152,48,9,9,48,32,3,3,5,9,5,5,9,15,12,3,60,
3,4,1,16,1,3,180,54,6,12,12,6,4,4,4,2,4,100,6,8,4,8,8,6,4,2,2,36,18,18,4,12,10
,6,18,18,2,6,6,4,2,315,15,45,45,9,9,15,60,16,3,3,4,4,4,4,1,1,1,1,1,1,24,12,3,3
,48,120,3,3,5,3,9,3,3,3,3,24,32,12,12,3,9,16,1,3,4,1,1,16,1,1,3,4,1,16,1,1,3,4
,1,4,1,4,1,4,4,2,2,18,6,2,6,4,6,2,2,2,2,2,315,15,1,45,45,9,5,9,5,9,9,3,3,9,3,
15,9,3,9,9,5,3,3,5,3,3,1,1,24,12,3,3,16,3,1,1,1,1,1,1,4,4,4,1,4,4,1,1,4,1,4,1,
4,1,2,45,9,5,5,9,3,1,1,9,3,9,15,1,3,3,3,9,9,3,3,5,3,5,3,3,3,3,3,1,1,3,3,1,1,3,
3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,4,1,9,3,3,3,3,3,3,3,3,1,1,1,1,3,3,1,1,9,3,1,1,
3,3,3,3,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1],[
5405400,7560,120,2920,75600,630,216,7560,8,8,16,72,36,72,20,4,180,288,72,12,12
,16,10,18,6,4,8,4,72,6,4,2,20,4,4,4,4,4,4,6,2,72,7560,18,18,2,2,18,6,4,8,2,4,
18,2,8,2,4,2,4,4,4,2,2,2,6,2,2,2,72,4,4,72,18,2,18,2,2,2,8,2,2,2,5,2,1,1,4,8,2
,4,4,2,2,2,2,2,2,18,4,2,4,4,2,3,2,1,1,1,4,2,18,2,2,2,4,2,1,1,1,2,1,1,2,2,2,1,1
,1,1,1],[5405400,7560,1080,1320,27,7560,72,72,16,24,36,24,180,36,9,9,1,27,3,72
,4,24,6,4,2,180,36,36,36,36,4,36,6,2,9,27,3,9,1,9,1,1,1,3,2,4,2,36,36,36,2,2,2
,6,2,2,2,9,9,1,9,1,1,9,1,3,1,1,36,2,2,2,2,2,2,9,9,1,1,9,9,9,1,1,1,2,1,1,9,9,9,
9,9,9,9,1,1,1,1,1,1,9,1,1,9,9,1,1,1,1,1,1,1,1,9,1,1,1,1,1,1,1],[5189184,48384,
2880,181440,36288,480,960,4704,24,4032,288,1440,480,4704,144,24,144,36288,96,
120,48,48,144,480,24,120,12,12,48,24,24,4032,48,12,24,96,48,12,12],[5189184,
48384,2880,1512,1008,960,144,4704,24,504,24,72,48,4704,144,24,144,1008,24,12,8
,144,8,48,24,12,4,4,8,24,24,504,8,4,24,24,8,4,4],[5189184,60480,181440,36288,
3024,1008,4704,24,8064,288,1008,4032,80,36288,288,120,144,48,24,8,1008,24,24,8
,8,12,4032,48,8,4,144,8,12,4],[5189184,36288,384,1512,1008,96,1008,4704,24,504
,72,24,48,4032,64,48,1008,24,12,144,8,16,8,48,24,12,4,4,8,12,504,8,4,4,24,8,4,
4],[5189184,24192,960,18144,320,320,1344,4,288,96,320,1344,32,4,32,32,32,24,4,
32,4,32,32,4,24,8,4,8,32,4,4,8,4,8,4,4,4,4,8,4,4,4,4,4,4,4],[5189184,36288,
1920,1512,1008,192,144,4704,24,504,72,24,48,4032,64,48,1008,24,12,48,8,16,8,48
,24,4,12,4,8,12,504,8,4,4,24,8,4,4],[5189184,36288,1920,181440,36288,144,144,
4704,24,4032,288,192,144,4032,32,48,36288,48,120,48,48,8,8,144,24,8,12,12,8,12
,4032,48,4,4,48,8,12,4],[5189184,2304,960,18144,64,160,1344,4,384,96,32,32,4,4
,4,32,16,24,4,16,4,16,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4],[5189184,960,18144,
160,64,1344,4,96,32,32,4,32,16,24,4,16,4,16,4,8,4,4,4,4,4,4,4,4,4,4,4,4],[
5189184,1152,960,18144,32,160,32,1344,4,192,96,16,32,2,4,2,16,16,16,24,4,16,4,
2,2,8,4,8,4,2,2,2,4,2,2,4,4,2,4,2,4,2,2,4,2,2,4,2,2,2],[5189184,960,18144,160,
1344,4,96,8,32,4,16,24,4,16,4,8,4,8,4,4,4,4,4,4,4,2,4,2],[5189184,24192,960,
18144,320,1008,144,1344,4,288,96,48,1344,32,4,32,32,144,16,24,4,72,24,32,8,8,
16,4,24,8,4,8,8,8,4,4,12,4,4,8,4,4,4,2,2,4,4,4,4,2,4,2,2,2],[5189184,24192,
1152,960,18144,320,32,32,1344,4,192,288,96,16,1344,32,2,4,32,2,32,16,16,24,4,2
,32,2,8,4,24,8,4,2,2,8,4,4,2,2,2,8,4,2,4,2,4,4,2,2,4,2,2,2],[4864860,24948,
2340,1548,756,252,72,396,36,228,144,48,108,84,1260,36,36,60,630,252,36,24,36,
36,12,36,36,84,84,12,12,12,36,36,12,12,12,12,12,36,12,36,180,36,60,12,12,36,12
,12,24,24,12,12,630,78,18,78,18,84,12,12,24,12,12,36,36,12,12,12,12,12,12,12,
12,12,12,12,36,12,12,12,12,12,36,24,12,12,12,12,12,90,6,12,42,6,6,12,78,6,6,18
,12,12,42,6,6,6,36,12,12,12,12,12,12,12,12,12,12,12,12,42,6,6,42,6,6,6,42,12,6
,6,6,6,6,18,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,42,6,6,12,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6
,6,6,6,6,6],[4864860,24948,900,1260,756,36,24,396,36,132,48,16,108,12,72,180,
60,630,36,8,12,36,12,36,36,12,4,4,4,12,4,4,4,132,24,44,12,28,4,12,8,16,16,8,8,
630,30,18,30,18,12,4,12,12,8,4,4,8,4,4,12,4,4,4,4,4,16,12,4,8,12,4,6,12,10,6,6
,6,4,30,6,6,18,4,4,6,6,10,10,12,4,4,4,4,12,4,4,4,8,4,4,6,2,6,2,2,2,4,6,6,6,6,6
,4,10,2,2,2,2,4,4,2,4,2,4,2,10,2,4,2,2,2,4,4,4,6,2,4,2,2,2,4,2,2,2,4,2,2,2,2,4
,2,2,2,2,2,2,2,4,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[4864860,34020,1620,2124,
13608,756,108,288,732,132,372,216,72,108,36,252,36,12,36,630,288,36,216,72,72,
108,36,12,132,36,36,36,36,36,252,12,36,12,12,12,12,4,12,4,4,4,12,12,36,4,4,12,
12,4,16,16,4,630,54,30,54,30,108,12,72,36,36,36,12,12,4,4,4,4,4,8,12,12,4,4,4,
4,4,12,12,4,4,4,4,4,16,4,4,4,4,4,8,18,18,22,6,18,54,22,22,18,30,18,18,18,6,2,2
,2,2,36,12,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,6,18,18,18,18,18,18,18,18,18,18,18,22
,6,6,6,8,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,6,18,18,18,18
,18,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,4,18,2,2,4,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[4864860,24948,2340,1548,756,252,72,396,36,228
,144,48,108,84,72,156,20,630,252,36,24,36,36,12,36,36,84,84,12,12,12,36,36,12,
12,12,12,12,36,12,156,36,20,20,20,4,12,8,12,12,4,630,78,18,78,18,84,12,12,12,8
,4,4,36,36,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,12,20,4,12,12,12,4,
4,4,4,6,12,2,42,6,6,12,78,6,6,18,12,12,42,6,6,6,36,12,12,12,12,4,12,12,4,4,4,4
,4,4,12,4,4,4,42,6,6,42,6,6,6,42,12,6,6,6,6,6,6,4,2,2,2,2,2,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,2,12,4,4,4,4,42,6,6,4,2,2,2,6,6,6,6,6,6,6,6,6,6,6,2,2,6,6,6,6,6,6,
6,6,6,6,6,2,2,2,2,2,4,6,2,2,6,6,2,2,6,6,6,6,2,2,2,2,2,2,2,6,2,2,2,2,2],[
4864860,24948,900,1260,756,36,24,396,36,132,48,16,108,12,1260,36,60,36,630,36,
8,12,36,12,36,36,12,4,4,4,12,4,4,4,12,180,24,20,4,20,36,12,12,8,8,8,8,4,630,30
,18,30,18,12,4,12,8,4,4,4,4,12,4,4,4,4,4,36,8,4,12,12,8,4,4,4,90,6,4,6,6,6,4,
30,6,6,18,4,4,6,6,10,10,12,4,4,12,4,4,4,4,4,4,4,4,6,2,6,2,2,2,4,6,6,6,6,18,6,6
,4,2,2,6,2,4,2,4,2,10,2,4,2,2,2,2,4,4,4,6,2,4,2,2,2,2,2,4,2,2,2,2,6,6,6,2,2,2,
2,2,2,2,4,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[4864860,34020,3060,2412,13608,756,
324,336,732,132,468,312,104,108,108,252,36,84,28,630,252,288,36,216,72,88,132,
36,12,132,36,84,108,44,44,44,252,12,36,12,12,84,12,12,4,60,28,28,20,20,20,36,
12,36,12,60,12,12,28,12,12,4,20,20,630,102,30,102,30,108,84,12,72,36,44,36,12,
12,36,4,4,4,4,4,12,12,36,12,60,12,12,12,12,20,12,12,4,4,4,4,4,20,28,20,20,20,
20,36,12,12,12,12,12,12,4,20,12,18,54,22,6,26,102,22,22,18,30,26,26,54,6,14,2,
14,2,36,36,12,12,12,36,12,12,12,12,4,4,4,4,4,12,12,4,4,4,4,4,12,4,20,4,4,12,12
,42,6,18,22,18,54,22,22,22,42,18,26,18,18,22,6,6,6,6,6,2,10,6,2,10,14,2,2,10,
14,6,2,2,10,6,14,2,2,10,2,2,2,2,10,10,14,12,4,4,4,4,4,12,12,4,4,4,42,6,18,22,
18,18,18,6,6,2,10,6,2,10,6,10,2,6,6,2,2,10,10,2,2,6,2,2,6,6,2,2,2,6,6,6,6,6,6,
14,10,10,2,2,2,2,6,10,4,18,6,6,2,6,2,2,2,6,2,10,2,2,6,2,2,6,2,2,2,2,6,6,6,2,2,
2,6,6,6,6,2,2,2,2,2,2,2,2,2,2],[4864860,34020,1620,2124,13608,756,108,288,732,
132,372,216,72,108,36,1512,144,132,28,630,288,36,216,72,72,108,36,12,132,36,36
,36,36,36,252,12,36,12,12,12,12,4,12,4,4,4,132,192,28,28,28,12,36,72,48,24,24,
24,630,54,30,54,30,108,12,72,36,36,36,12,72,12,4,16,16,4,16,4,12,4,12,12,4,4,4
,4,4,12,12,4,4,4,4,4,36,36,24,24,24,28,12,12,12,24,24,12,12,4,8,4,90,6,18,6,18
,18,22,6,18,54,22,22,18,30,18,18,18,6,2,2,2,2,36,12,4,4,4,4,4,12,24,12,12,4,8,
4,4,4,4,8,4,4,16,4,12,12,12,12,4,4,4,6,18,18,18,18,18,18,18,18,18,18,18,22,6,6
,6,6,18,18,10,6,6,6,6,6,6,6,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,4,4,
8,4,4,4,4,4,6,18,18,18,18,18,6,6,6,6,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6
,10,6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,18,6,6,6,2,2,2,6,6,6,2,6,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2],[4864860,34020,756,1260,
3780,180,120,540,36,84,48,16,108,12,72,300,20,15,540,8,60,36,36,36,108,12,4,4,
4,24,24,60,12,4,4,4,4,60,120,4,4,20,4,12,8,8,8,12,5,3,1,108,36,36,4,60,12,12,4
,4,4,4,60,12,4,4,4,4,4,4,4,4,8,4,4,8,12,4,4,3,1,1,36,12,4,4,4,60,4,4,4,4,12,4,
4,4,4,4,1,4,12,4,4,4,3,4,3,1,1,3,1,1,1],[4804800,60480,1920,50400,840,240,5040
,480,1680,6720,840,120,96,96,720,120,240,840,96,24,24,24,72,720,120,48,48,840,
24,96,120,120,24,24,24,24,24,48,24,24,24,840,120,120,24,24,24,24,24,120,24,24,
24,24,24,24,24,24],[4804800,60480,1920,50400,840,240,5040,192,48,6720,840,320,
24,32,720,24,48,840,96,24,24,24,72,720,48,24,48,840,32,8,120,24,24,8,8,8,8,48,
24,24,24,8,120,24,8,24,8,8,8,8,24,24,8,8,8,8,24,8],[4804800,6720,5760,117600,
4200,96,312,6720,144,144,1440,432,168,96,240,24,24,144,4200,312,312,96,96,96,
96,96,6720,240,24,24,240,24,24,48,24,24,48,24,24,432,96,96,96,96,96,168,168,24
,24,24,144,48,24,24,48,24,24,312,96,96,96,240,24,24,24,24,24,24,24,24,24,24,24
,24,24,24,24,24,24,24,24,24,168,96,96,96,48,24,24,24,24,24,24,24,24,24,24,24,
24,24,96,24,24,24,24,24,24,24,24,24,96,24,24,24,24,24,24,24,24,24],[4804800,
2880,67200,1680,24,96,96,576,144,48,24,96,1680,96,96,24,24,24,24,24,144,24,24,
24,24,24,48,48,96,24,24,24,24,24,24,48,24,24,24,24,24,24,24,24],[4804800,2880,
67200,1680,24,96,96,576,144,48,24,96,1680,96,96,24,24,24,24,24,144,24,24,24,24
,24,48,48,96,24,24,24,24,24,24,48,24,24,24,24,24,24,24,24],[4804800,120960,
2880,67200,1680,24,96,20160,2880,13440,1680,576,144,48,24,2880,144,2880,1680,
96,96,24,24,24,24,24,576,2880,576,144,1680,144,24,24,24,24,24,48,48,480,96,48,
24,144,576,96,24,24,24,480,144,24,48,144,144,96,24,48,24,24,24,48,24,144,24,96
,48,24,48,24,24,48,24,24,24],[4804800,1920,2880,67200,1680,24,96,192,96,576,48
,144,12,48,24,48,12,48,1680,96,96,24,24,24,24,24,12,24,12,12,144,12,24,24,24,
24,24,48,48,48,12,12,12,12,12,12,12,96,24,24,24,24,12,12,12,12,12,12,12,12,12,
48,24,24,24,12,12,12,24,12,12,12,12,24,12,12,12,12,12],[4804800,40320,1280,
2880,67200,1680,24,96,960,256,64,4480,560,576,32,144,8,48,24,960,48,32,8,64,
1680,96,96,24,24,24,24,24,16,192,16,16,32,48,8,560,144,8,24,24,24,24,24,48,48,
160,32,32,16,8,8,8,8,8,8,48,8,16,96,24,24,24,32,48,16,8,8,8,8,8,8,16,48,8,16,8
,32,8,8,8,48,24,24,24,16,8,8,8,16,8,24,8,16,8,8,8,8,8,24,8,8,8,8,8,8,8],[
4804800,40320,4160,67200,1680,24,96,320,960,96,144,4480,560,80,640,16,144,48,
24,960,128,80,48,8,48,1680,96,96,24,24,24,24,24,32,24,80,192,32,24,24,32,48,32
,8,560,16,144,24,24,24,24,24,48,48,80,160,16,16,16,32,16,8,8,8,4,4,4,4,48,8,16
,24,96,24,24,24,80,16,24,16,48,8,8,8,8,8,16,4,4,4,48,8,24,8,8,8,32,16,8,4,4,48
,24,24,24,16,8,8,4,4,24,8,8,24,16,4,16,8,8,4,4,8,8,4,4,24,8,4,8,4,8,4,4,4,4],[
4804800,62720,960,50400,840,240,5040,320,144,6720,840,96,8,800,96,80,8,48,840,
96,24,24,24,72,32,720,32,48,16,8,840,8,120,24,24,8,8,32,8,8,8,24,16,24,24,24,
120,24,8,8,8,8,8,24,8,8,8,8,24,24,8,8,8,8,24,8],[4804800,40320,2880,67200,1680
,24,96,960,64,4480,560,576,144,48,24,960,48,64,1680,96,96,24,24,24,24,24,192,
48,560,144,24,24,24,24,24,48,48,160,32,16,8,48,96,24,24,24,16,8,8,8,8,48,8,16,
48,32,8,48,24,24,24,16,8,16,24,16,8,24,8,8,8,8,8],[4804800,640,2880,67200,1680
,24,96,32,64,576,16,144,4,48,24,16,4,16,1680,96,96,24,24,24,24,24,8,4,144,4,24
,24,24,24,24,48,48,16,4,4,4,4,4,4,96,24,24,24,16,8,8,8,8,8,4,4,4,4,4,4,4,48,24
,24,24,4,4,4,24,4,4,24,4,4,8,8,4],[4804800,26880,960,117600,4200,96,312,6720,
160,320,2240,280,96,8,1440,96,24,120,160,4200,312,312,96,96,96,96,96,6720,240,
24,24,240,24,24,32,16,32,32,8,8,280,8,200,24,40,32,8,16,120,24,24,160,16,16,32
,8,312,96,96,96,240,24,24,24,24,24,24,24,24,24,24,24,24,24,8,8,8,8,8,8,24,40,8
,16,32,16,8,32,8,8,8,16,8,8,96,24,24,24,24,24,24,24,8,8,16,8,8,8,8,8,24,8],[
4804800,6720,960,320,117600,4200,96,312,6720,64,64,160,20,16,12,4,4,240,128,20
,24,24,12,8,64,4200,312,312,96,96,96,96,96,6720,240,24,24,240,24,24,4,4,16,16,
4,4,4,4,4,4,20,12,16,4,4,8,8,4,4,4,4,4,4,24,24,24,8,64,4,4,16,4,4,312,96,96,96
,240,24,24,24,24,24,24,24,24,24,24,24,24,24,4,4,4,4,4,4,4,4,24,4,4,4,4,8,4,4,4
,16,4,4,4,4,4,4,4,4,4,4,96,24,24,24,24,24,24,24,4,4,4,4,4,4,4,4,4,24,4],[
4804800,47040,117600,4200,96,312,6720,1680,560,6720,1120,1200,24,72,560,4200,
312,312,96,96,96,96,96,6720,240,24,24,240,24,96,24,24,80,80,32,8,1120,240,64,
24,16,72,24,24,560,80,80,32,8,312,96,96,96,240,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,8,8,8,8,8,24,64,16,24,16,80,32,8,8,8,8,8,8,96,24,24,24,24,24,24,24
,8,8,16,8,8,8,8,8,24,8],[4804800,6720,640,117600,4200,96,312,6720,16,16,40,64,
16,240,64,40,24,24,4,16,4200,312,312,96,96,96,96,96,6720,240,24,24,240,24,24,
16,4,4,4,4,16,4,4,16,40,16,16,16,4,4,4,4,4,4,24,24,24,4,16,4,4,16,4,4,312,96,
96,96,240,24,24,24,24,24,24,24,24,24,24,24,24,24,4,4,4,4,4,4,4,4,24,16,4,4,4,4
,4,4,16,4,4,4,4,4,4,4,4,4,4,96,24,24,24,24,24,24,24,4,4,4,4,4,4,4,4,4,24,4],[
4804800,1280,2880,67200,1680,24,96,64,32,576,32,144,8,48,24,32,8,32,1680,96,96
,24,24,24,24,24,16,8,144,8,24,24,24,24,24,48,48,32,8,8,8,8,8,8,96,24,24,24,8,8
,8,16,8,8,8,8,8,8,8,48,24,24,24,8,8,8,24,8,8,24,8,8,8,8],[4804800,1280,2880,
67200,1680,24,96,64,32,576,32,144,8,48,24,32,8,32,1680,96,96,24,24,24,24,24,16
,8,144,8,24,24,24,24,24,48,48,32,8,8,8,8,8,8,96,24,24,24,8,8,8,16,8,8,8,8,8,8,
8,48,24,24,24,8,8,8,24,8,8,24,8,8,8,8],[4804800,40320,640,2880,67200,1680,24,
96,960,32,32,4480,560,576,16,144,4,48,24,960,48,16,4,16,1680,96,96,24,24,24,24
,24,192,8,48,4,560,144,4,24,24,24,24,24,48,48,160,16,32,16,8,4,4,4,4,4,48,4,96
,24,24,24,8,8,8,48,8,4,4,4,4,8,16,48,4,32,8,4,4,48,24,24,24,16,8,4,4,4,4,24,16
,8,4,4,24,8,4,8,4,8,4],[4804800,40320,640,2880,67200,1680,24,96,960,32,32,4480
,560,576,16,144,4,48,24,960,48,16,4,16,1680,96,96,24,24,24,24,24,192,8,48,4,
560,144,4,24,24,24,24,24,48,48,160,16,32,16,8,4,4,4,4,4,48,4,96,24,24,24,8,8,8
,48,8,4,4,4,4,8,16,48,4,32,8,4,4,48,24,24,24,16,8,4,4,4,4,24,16,8,4,4,24,8,4,8
,4,8,4],[4804800,4160,67200,1680,24,96,144,32,80,640,16,144,48,24,128,80,8,8,
1680,96,96,24,24,24,24,24,24,32,8,16,144,24,24,24,24,24,48,48,80,16,16,16,8,8,
4,4,4,4,8,96,24,24,24,8,8,8,24,8,8,8,4,4,4,8,16,4,4,48,24,24,24,8,4,4,4,4,24,8
,4,4,24,4,4,8,4],[4804800,4160,67200,1680,24,96,144,32,80,640,16,144,48,24,128
,80,8,8,1680,96,96,24,24,24,24,24,24,32,8,16,144,24,24,24,24,24,48,48,80,16,16
,16,8,8,4,4,4,4,8,96,24,24,24,8,8,8,24,8,8,8,4,4,4,8,16,4,4,48,24,24,24,8,4,4,
4,4,24,8,4,4,24,4,4,8,4],[4804800,6720,1920,67200,420,240,204,6720,48,48,120,
192,48,6,24,60,12,6,48,24,6,48,24,24,60,12,24,6720,60,12,60,12,6,12,6,12,6,6,
48,6,6,6,6,6,6,6,24,6,48,12,6,12,6,6,6,24,6,6,6,6,6,6,60,6,12,24,24,6,6,6,6,6,
6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,24,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6],[4804800,
6720,2880,960,50400,840,78,6720,192,192,480,60,48,36,30,30,240,60,78,24,36,192
,840,24,24,24,6,240,78,24,12,12,48,48,12,12,30,30,12,24,24,12,60,36,12,12,12,
12,24,24,24,24,6,6,6,12,48,12,30,24,6,6,24,24,24,24,24,24,12,12,12,12,12,12,12
,12,6,6,6,24,12,12,6,6,6,6,6,6,24,12,12,12,12,6,6,24,6,6,12,12,6,6,6,6,6,6,6,
12,6,6,6,6,6,6],[4804800,80640,960,50400,840,240,10080,960,7840,840,144,24,4,
1200,24,12,960,840,96,24,24,24,72,144,1200,144,24,840,24,4,4,160,24,4,4,24,12,
144,24,24,24,160,24,4,24,24,24,4,4,4,24,24,24,4,4,4,4,24,4],[4804800,1280,960,
840,9,240,96,32,24,24,7,4,3,8,12,5,16,96,24,6,3,3,3,3,4,5,3,6,2,1,4,4,4,3,1,4,
2,1,3,3,24,3,4,2,2,1,2,2,3,1,4,1,2,3,3,1,1,1,1,3,1],[4804800,60480,640,50400,
840,240,5040,160,144,6720,840,40,4,720,64,40,4,48,840,96,24,24,24,72,16,720,40
,16,840,40,120,24,4,4,4,4,4,16,24,24,24,24,120,40,4,24,4,4,12,24,24,4,4,4,4,24
,4],[4804800,60480,640,50400,840,108,24,5040,160,144,6720,840,40,4,720,64,40,4
,48,840,24,24,3,3,18,16,720,40,16,840,40,120,24,4,4,1,4,2,16,24,3,3,24,120,40,
4,24,4,1,12,3,24,4,4,1,4,3,1],[4804800,1600,50400,840,108,24,48,32,40,96,8,4,
160,40,4,8,840,24,24,3,3,3,24,4,8,16,8,40,24,4,4,8,1,4,1,4,24,3,3,4,4,4,4,8,4,
1,2,3,4,4,4,1,2,1,1],[4804800,40320,2880,67200,1680,24,96,960,560,144,4480,560
,576,144,48,24,960,48,48,1680,96,96,24,24,24,24,24,192,48,32,8,32,8,560,144,24
,24,24,24,24,48,48,160,32,16,8,48,16,8,96,24,24,24,280,24,48,8,16,48,8,8,32,8,
48,24,24,24,16,8,24,8,24,16,4,16,8,8,4,24,8,8,4,8,4,4,4],[4804800,2880,67200,
1680,24,96,32,576,144,48,24,8,1680,96,96,24,24,24,24,24,144,24,24,24,24,24,48,
48,96,24,24,24,8,8,8,48,24,24,24,4,24,24,8,4],[4804800,2880,67200,1680,24,96,
32,576,144,48,24,8,1680,96,96,24,24,24,24,24,144,24,24,24,24,24,48,48,96,24,24
,24,8,8,8,48,24,24,24,4,24,24,8,4],[4804800,6720,1920,67200,420,240,204,6720,
48,48,192,24,26,8,60,12,6,48,24,6,48,24,24,60,12,24,6720,60,12,60,12,6,2,4,2,4
,6,8,8,2,4,2,8,6,2,2,24,6,48,2,4,2,4,6,6,24,6,6,6,6,6,6,60,6,12,24,24,6,2,2,2,
2,2,2,6,2,2,2,2,2,2,2,4,6,2,2,2,6,24,6,6,6,6,6,2,2,2,2,2,2,2,2,6,2],[4804800,
60480,640,67200,1680,24,96,5040,160,144,6720,840,40,32,8,1440,64,40,72,4,48,
1680,96,96,24,24,24,24,24,144,16,720,40,16,32,8,840,8,40,240,8,8,8,48,24,4,4,
12,2,2,2,2,72,4,16,8,96,24,24,24,24,120,40,8,36,4,4,8,48,8,12,2,2,24,4,12,2,2,
12,4,24,24,8,12,4,2,8,4,12,2,4,4,6,2,4,2],[4804800,20160,640,640,67200,1680,24
,96,64,48,144,2240,280,40,32,16,8,4,480,64,40,24,16,4,4,8,1680,96,96,24,24,24,
24,24,12,4,12,16,4,8,32,8,280,8,4,40,80,16,8,8,8,16,8,4,4,4,4,4,4,4,4,2,2,2,2,
24,4,4,4,4,96,24,24,24,24,8,8,4,2,12,4,4,2,8,16,8,4,4,4,2,2,8,4,4,2,2,4,4,4,4,
24,2,2,4,2,2,2,8,4,4,4,2,2,2,2,2,4,2],[4804800,6720,960,320,67200,420,240,204,
6720,64,64,8,8,128,20,60,12,12,8,64,24,6,48,24,24,60,12,24,6720,60,12,60,12,4,
4,8,8,8,8,2,2,2,2,8,24,6,8,64,4,4,8,6,24,6,6,6,6,6,6,60,6,12,24,24,6,8,8,2,2,8
,6,2,2,2,2,2,8,2,2,8,4,2,6,24,6,6,6,6,6,2,2,2,8,2,2,2,2,6,2],[4804800,2240,
1920,640,50400,840,78,64,16,48,320,40,24,20,2,80,64,40,26,8,24,4,8,840,24,24,
24,6,16,4,4,4,16,4,4,10,2,16,8,8,6,16,8,40,24,4,4,8,8,2,8,8,8,8,4,4,2,4,4,8,4,
2,24,6,6,4,8,4,4,4,4,4,4,4,2,2,8,8,8,2,8,8,2,4,4,2,4,2,2,4,4,4,4,6,8,4,4,2,2,2
,2,4,2,2,4,2,2,2,2,2],[4804800,2240,1920,1920,50400,840,78,64,48,16,320,288,24
,48,20,8,80,26,8,24,6,8,840,24,24,24,6,6,4,16,16,4,10,8,8,4,2,16,4,4,16,48,8,8
,8,24,8,8,2,8,8,8,8,4,2,4,2,4,8,4,24,6,6,8,4,8,8,8,4,4,4,2,4,4,4,2,4,2,8,8,8,2
,4,2,2,4,4,4,4,2,4,6,8,4,4,2,2,2,2,4,2,2,4,2,2,2,2,2],[4804800,2240,960,3520,
50400,840,78,64,64,64,144,160,100,336,12,30,48,10,10,80,64,100,26,8,12,10,16,
840,24,24,24,6,16,4,10,4,16,16,4,24,16,4,8,8,16,10,6,10,8,6,12,8,48,24,4,8,8,
100,12,12,12,4,4,4,4,4,8,8,8,8,4,6,2,2,8,4,4,6,24,6,6,8,24,4,4,4,4,4,4,4,8,4,4
,8,8,8,4,4,4,4,4,4,4,4,2,8,12,4,8,2,6,2,2,4,2,6,2,2,4,4,4,4,4,6,8,4,4,2,4,4,2,
2,2,2,2,6,2,2,2,2,4,2,2,2,2,2,2,2],[4804800,320,16800,1680,168,312,160,8,32,80
,8,160,72,24,48,24,24,42,12,18,16,8,8,2,2,2,8,40,4,16,6,18,24,6,6,6,8,2,8,2,2,
2,8,4,6,2,2,8,2,2,2,2],[4804800,2240,960,960,50400,840,78,64,64,160,60,48,12,
30,10,80,60,26,8,12,16,840,24,24,24,6,4,16,4,10,4,16,10,8,16,4,10,12,8,24,4,60
,12,12,12,4,4,8,8,8,8,6,2,2,8,4,6,4,24,6,6,8,4,4,4,4,4,4,4,4,8,8,8,4,2,8,12,4,
2,6,2,2,6,2,4,4,4,4,4,6,8,4,4,2,2,2,2,6,2,2,4,2,2,2,2,2],[4804800,60480,640,
67200,1680,24,96,5040,160,560,6720,840,40,32,8,1440,64,40,72,4,80,1680,96,96,
24,24,24,24,24,144,16,720,40,16,32,8,840,8,40,240,8,8,8,48,24,4,4,12,2,2,2,2,
72,4,8,16,96,24,24,24,280,120,40,8,36,4,4,8,48,8,12,2,2,24,4,12,2,2,40,4,24,24
,8,16,4,12,4,2,12,2,8,4,6,2,4,2],[4804800,20160,640,640,67200,1680,24,96,64,48
,560,2240,280,40,32,16,8,4,480,64,40,24,16,4,4,16,1680,96,96,24,24,24,24,24,12
,4,12,16,4,8,32,8,280,8,4,40,80,16,8,8,8,16,8,4,4,4,4,4,4,4,4,2,2,2,2,24,4,4,4
,4,96,24,24,24,280,8,8,4,2,12,4,4,2,8,16,8,4,4,4,2,2,8,4,4,2,2,4,4,8,4,24,2,2,
16,4,4,2,2,2,4,4,2,2,2,2,2,4,2],[4804800,6720,1920,50400,840,78,6720,48,48,288
,48,8,240,78,24,6,48,840,24,24,24,6,240,78,24,6,16,8,8,16,8,8,6,48,8,8,2,24,24
,24,24,6,16,8,8,6,24,6,6,24,24,24,24,8,8,8,2,2,6,8,8,8,24,8,6,2,6,2,8,8,8,6,24
,8,8,6,6,2,2,6,2,8,2,6,2,2,2],[4804800,6720,640,50400,840,78,6720,16,16,40,2,
240,64,40,78,24,4,16,840,24,24,24,6,240,78,24,16,4,4,4,2,4,2,16,4,4,40,4,4,2,
24,24,24,24,4,6,4,2,16,4,4,24,6,6,24,24,24,24,4,4,4,4,2,4,4,4,2,6,4,24,6,4,6,2
,4,4,4,2,4,6,24,6,6,4,4,2,2,6,2,4,2,6,2,2,2],[4804800,6720,640,50400,840,108,
24,6720,16,16,40,4,240,64,40,24,24,4,16,840,24,24,3,3,27,240,24,24,16,4,4,4,4,
16,4,4,40,4,4,1,24,24,24,4,1,4,16,4,4,24,3,3,3,24,24,24,4,4,4,4,4,4,4,4,3,24,4
,1,1,4,4,4,4,3,24,3,4,4,3,1,4,1,3,1],[4804800,6720,1920,2100,36,132,6720,48,48
,72,14,12,60,12,6,48,24,78,24,12,3,120,9,6,60,12,6,2,4,2,4,6,8,4,14,2,24,6,8,3
,2,2,4,6,12,6,3,6,3,3,6,24,6,2,2,2,2,3,4,6,2,2,1,1,2,2,2,3,3,6,3,2,2,1,1,2,3,1
],[4804800,6720,960,320,67200,420,24,150,6720,64,64,2,2,128,20,6,12,12,8,64,6,
48,24,24,6,12,3,3,6720,6,12,6,12,4,4,2,2,2,2,2,2,2,6,8,1,1,3,64,4,4,2,6,3,3,3,
3,3,6,6,6,6,12,6,2,2,3,3,1,1,2,3,1,1,1,1,1,2,2,2,4,2,1,3,6,3,3,3,3,3,1,1,1,2,1
,1,1,1,3,1],[4717440,1920,324,48,60,36,6,6,12,2,12,2,2,6,2,1],[4717440,1920,
162,96,60,36,6,20,2,12,6,2,4,1],[4633200,6480,2160,720,3780,6480,240,144,144,
144,48,120,24,180,108,108,180,144,48,48,120,24,24,24,24,24,24,60,108,36,36,12,
48,24,24,24,24,180,60,12,12,36,12,24,12,12,12,12,12,12,30,6,6],[4633200,51840,
2160,3780,51840,1260,720,720,720,108,36,1260,108,1260,36,108,180,720,720,36,36
,1260,108,36,36,36,36,36,1260,270,108,36,36,12,720,36,36,36,36,36,36,180,1260,
90,36,6,36,18,36,12,36,12,36,18,36,36,6,6,12,36,6,90,6,6],[4633200,51840,2160,
3780,45360,1440,360,720,96,216,36,1260,108,1260,36,108,180,360,48,72,36,1260,
108,36,36,24,36,24,1260,270,36,36,12,12,36,24,36,24,12,12,12,180,1260,90,36,6,
36,18,12,12,12,12,18,12,12,36,6,6,12,12,6,90,6,6],[4633200,6480,720,240,64800,
6480,120,48,48,72,24,96,180,120,48,24,24,24,24,6480,48,12,24,24,24,36,48,48,12
,24,24,15,12,24,3,6,3,3],[4633200,6480,720,240,648,6480,120,48,48,72,24,12,180
,120,48,24,24,24,24,54,6,9,12,24,24,24,18,6,6,3,12,24,3,15,6,3,3,3,3,3],[
4633200,6480,720,240,648,6480,120,48,48,72,24,12,180,120,48,24,24,24,24,54,6,9
,12,24,24,24,18,6,6,3,12,24,3,15,6,3,3,3,3,3],[4633200,6480,720,240,3780,6480,
120,48,48,72,24,60,108,36,180,120,48,24,24,24,24,30,108,12,12,12,24,24,24,180,
30,6,6,12,12,24,12,6,6,6,15,12,6,3,15,3,3,3],[4633200,47520,720,3780,45360,
1260,120,240,36,1320,72,16,1260,12,36,180,120,12,1260,36,12,12,16,12,24,8,1260
,270,12,4,12,4,8,4,12,12,4,8,4,180,1260,90,12,2,12,6,4,4,4,4,12,2,4,2,6,4,4,4,
2,90,2,2],[4633200,2160,720,720,3780,240,48,16,48,120,8,180,36,36,180,16,120,8
,8,8,8,4,60,12,4,12,4,8,4,4,180,60,4,4,4,4,4,4,4,4,30,2,2],[4633200,2160,720,
2640,3780,240,48,32,48,72,16,120,8,180,36,24,120,36,180,8,16,120,8,8,12,4,8,12
,60,12,12,12,8,4,24,4,4,8,4,12,4,180,60,4,4,4,4,4,24,4,4,4,30,6,2,2],[4324320,
120960,480,302400,2520,90720,10080,240,480,5040,20160,26880,2520,120,1440,120,
240,480,5040,240,240,2520,20160,90720,2520,1440,120,240,2520,120,120,720,5040,
2520,120,240,120,2520,120,120,240,120,20160,2520,120,720,120,2520,120],[
4324320,90720,480,480,302400,2520,90720,2520,96,96,72,2520,72,20160,20160,2520
,96,24,192,24,96,24,2520,72,24,24,24,2520,20160,90720,2520,48,24,24,2520,24,24
,48,2520,2520,72,24,96,24,2520,24,24,24,24,20160,2520,24,48,24,2520,24],[
4324320,2400,216,96,96,240,16,30,72,4,12,32,24,8,16,72,6,6,4,8,72,4,2,6,2,2,24
,4,2,6,4,2,6,2],[4324320,30240,480,1440,2520,54,240,480,32,96,16,240,16,30,840
,24,6,6,72,6,32,16,120,8,8,8,16,18,6,60,2,24,2,8,2,6,6,6,60,4,2,2,4,2,2,2,2,4,
2,6,2,2,6,2,2,2],[4324320,30240,480,1440,2520,54,240,480,32,96,16,240,16,30,
840,24,6,6,72,6,32,16,120,8,8,8,16,18,6,60,2,24,2,8,2,6,6,6,60,4,2,2,4,2,2,2,2
,4,2,6,2,2,6,2,2,2],[4324320,2400,216,96,96,240,16,30,24,12,12,32,24,8,16,54,6
,6,4,8,6,6,6,6,2,2,2,2,2,2,2,2,2,2],[4324320,2400,216,96,96,240,16,30,24,12,12
,32,24,8,16,54,6,6,4,8,6,6,6,6,2,2,2,2,2,2,2,2,2,2],[4324320,960,1440,2520,54,
240,32,48,32,30,24,24,6,6,24,6,32,16,16,8,8,8,8,18,6,60,2,4,2,8,2,6,6,2,4,4,2,
2,4,2,2,2,2,4,2,6,2,2,2,2,2,2],[4324320,960,1440,2520,54,240,32,48,32,30,24,24
,6,6,24,6,32,16,16,8,8,8,8,18,6,60,2,4,2,8,2,6,6,2,4,4,2,2,4,2,2,2,2,4,2,6,2,2
,2,2,2,2],[4324320,36288,1440,211680,10080,36288,480,480,480,3360,3360,144,
2160,480,480,10080,3360,48,48,36288,2160,480,2160,48,48,240,480,240,48,48,48,
480,48,240,2160,48,480,480,3360,48,48,48,48,480,240,48,48],[4324320,36288,1440
,60480,1260,432,6048,840,240,480,72,24,3360,420,12,1440,36,240,24,24,144,3360,
48,48,6048,840,96,36,24,96,36,12,12,240,24,48,48,48,48,240,24,12,240,96,36,48,
24,24,24,420,48,12,12,48,24,48,12,12],[4324320,36288,1440,151200,504,432,30240
,168,240,480,72,24,3360,3360,144,720,72,240,24,24,144,3360,48,48,30240,168,48,
72,24,48,72,48,16,24,24,24,8,48,8,240,24,8,24,48,72,8,24,24,24,3360,8,8,48,8,
24,24,8,8],[4324320,36288,1440,151200,504,432,36288,480,480,480,3360,3360,144,
720,72,480,480,144,3360,48,48,30240,36,108,24,720,72,48,48,24,480,24,48,48,48,
240,12,48,24,72,18,48,240,12,24,3360,6,6,48,6,12,24,48,6],[4324320,36288,1440,
1764,216,6048,840,240,480,72,24,3360,420,12,108,240,24,24,72,3360,48,48,840,36
,54,24,12,36,24,12,12,24,24,12,48,48,48,24,12,12,24,18,24,48,24,12,12,420,6,6,
12,6,12,12,12,6],[4324320,36288,1440,1764,216,1008,480,64,144,3360,420,12,108,
32,48,72,3360,48,48,1008,36,16,36,12,4,24,16,12,8,48,8,48,4,24,36,8,16,16,420,
8,4,12,8,16,12,4,4],[4324320,30240,1440,96,151200,504,432,30240,16,96,96,48,16
,3360,3360,480,96,72,96,16,16,144,3360,96,96,30240,4,72,4,12,72,16,96,16,24,16
,24,16,96,16,96,4,16,24,72,4,16,16,4,4,3360,4,4,96,4,4,24,16,4],[4324320,92736
,1440,302400,2520,90720,2520,240,480,72,2520,72,20160,20160,2520,288,24,480,24
,240,24,2520,72,24,24,24,2520,20160,96,96,90720,2520,96,24,24,2520,24,24,96,
2520,2520,72,24,240,24,2520,24,24,24,24,20160,2520,24,96,24,2520,24],[4324320,
1472,1440,2520,54,240,32,48,32,30,72,24,18,6,8,2,32,16,16,8,8,8,8,18,10,6,2,60
,2,4,2,8,18,2,2,2,4,4,2,2,4,2,2,2,2,4,2,6,2,2,2,2,2,2],[4324320,1472,1440,2520
,54,240,32,48,32,30,72,24,18,6,8,2,32,16,16,8,8,8,8,18,10,6,2,60,2,4,2,8,18,2,
2,2,4,4,2,2,4,2,2,2,2,4,2,6,2,2,2,2,2,2],[4324320,12096,288,120960,4032,12096,
96,96,96,560,576,96,96,4032,48,16,12096,576,96,576,80,32,96,16,16,16,16,96,16,
576,16,16,32,96,96,16,16,16,16,16,16,96,16,16,16,16],[4324320,36288,1440,
166320,2520,36288,480,480,480,3360,3360,144,1152,144,72,480,480,2520,3360,48,
48,30240,360,1152,72,48,48,48,48,48,60,480,60,36,72,48,48,48,240,24,48,48,48,
60,12,12,360,72,12,12,48,240,24,48,3360,12,12,12,24,12,48,12,24,60,48,12,12],[
4324320,36288,1440,15120,1260,108,6048,840,240,480,72,24,3360,420,12,432,144,
108,36,240,24,24,36,3360,48,48,840,24,72,108,24,36,72,48,24,24,12,12,60,24,12,
12,36,48,48,48,24,24,24,24,24,12,60,12,12,24,36,12,12,48,24,24,24,420,12,12,12
,24,12,12,12,24,12,12,12,12],[4324320,116928,1440,166320,2520,30240,15120,240,
1440,3360,3360,20496,2520,216,24,2280,24,240,1440,3360,240,240,2520,3360,48,48
,30240,360,360,216,2280,216,24,24,360,24,60,240,2520,24,240,24,480,48,3360,360
,360,24,240,24,216,24,24,24,60,6,6,360,240,24,24,24,48,240,24,3360,60,6,6,360,
24,24,24,480,48,6,24,60,48,60,6,6,6],[4324320,50400,1440,1056,151200,126,108,
30240,2520,288,96,120,840,72,3360,6720,480,66,144,18,36,12,240,192,36,30,96,72
,840,72,24,24,24,36,3360,96,96,30240,18,18,48,18,240,192,48,30,48,6,18,12,18,6
,6,24,36,12,12,12,12,120,24,96,840,72,18,18,6,96,48,18,6,6,6,6,6,6,6,18,12,12,
12,12,12,24,24,6,3360,6,6,6,18,6,6,12,120,24,96,6,6,6,24,6,6,6,6],[4324320,
30240,1440,1376,151200,126,108,30240,96,96,32,96,24,96,3360,3360,480,6,192,18,
4,12,6,224,20,18,2,96,8,96,8,8,36,3360,96,96,30240,18,18,24,6,96,16,2,32,6,6,4
,8,2,2,2,6,6,8,12,2,12,6,6,4,2,32,96,96,2,2,2,96,8,2,6,6,2,2,6,6,6,18,6,4,2,2,
2,2,2,8,8,2,3360,2,2,6,2,6,6,2,32,96,2,2,6,8,2,6,2,2],[4324320,56448,2400,
166320,2520,30240,2520,240,800,216,840,72,3360,7056,408,48,1560,96,24,240,72,
840,72,24,24,24,2520,3360,48,48,30240,360,360,72,32,240,136,24,48,40,8,8,24,60
,24,48,180,12,24,120,24,48,840,72,8,8,4,240,24,12,16,24,4,4,60,6,6,360,8,24,8,
12,4,8,24,4,3360,4,6,6,8,24,24,4,120,24,48,2,4,60,8,4,6,6,2],[4324320,36288,
960,1760,15120,1260,108,840,80,480,64,96,32,72,840,72,3360,336,420,160,60,72,
36,12,12,6,360,32,20,36,12,2,16,24,40,24,24,8,24,36,3360,48,48,840,24,24,8,4,
32,20,24,24,8,8,12,12,4,4,12,2,8,24,60,8,12,2,12,6,6,4,2,120,24,48,40,24,8,8,4
,24,8,4,4,4,4,8,60,6,6,24,6,4,2,2,2,2,2,8,8,4,420,4,6,6,8,4,4,2,20,12,12,2,4,
12,4,4,2,2,2],[4324320,36288,2720,15120,1260,108,840,320,480,120,72,3360,3360,
336,420,240,120,36,12,6,360,32,80,36,2,24,24,160,48,240,36,3360,48,48,840,24,
24,8,12,80,24,24,36,12,8,8,12,8,2,360,24,60,24,36,2,12,12,6,6,2,480,48,160,24,
24,8,24,4,4,12,4,24,4,60,6,6,24,12,6,2,2,2,2,2,48,24,4,420,60,6,6,24,4,4,2,80,
12,6,4,12,12,12,2,2,2],[4324320,56448,2400,151200,126,108,30240,2520,240,800,
216,840,72,3360,6720,42,288,10,12,960,96,36,30,240,72,840,72,24,24,24,36,3360,
48,48,30240,18,18,18,32,240,96,48,16,6,10,12,6,2,6,6,24,4,12,12,4,12,120,24,48
,840,72,2,2,2,240,6,16,6,6,2,2,6,2,2,18,4,4,4,12,4,8,24,2,3360,2,6,2,2,6,6,4,
120,24,48,2,2,6,8,2,2,6,2],[4324320,36288,2720,151200,126,108,30240,400,480,96
,72,96,3360,3360,42,60,336,36,6,6,720,128,20,18,2,240,24,96,24,24,36,3360,48,
48,30240,18,18,16,6,20,48,48,18,6,32,6,6,16,2,18,6,6,24,36,2,12,12,6,6,2,32,48
,96,18,18,6,240,6,8,6,6,6,6,6,2,2,18,12,6,2,2,2,2,2,8,24,6,3360,6,2,2,18,6,6,2
,32,48,2,6,6,8,6,2,2,2],[4324320,20160,2496,480,15120,1260,108,80,160,256,48,
80,16,5,420,416,72,4,24,240,48,36,12,24,16,32,40,16,8,8,8,36,5,1,1,20,2,8,16,4
,64,24,12,4,24,4,12,8,8,5,8,24,12,4,8,12,1,1,1,20,4,2,4,4,4,8,16,4,4,4,8,1,5,1
,2,8,4,12,4,4,1,4,4,1,1,1,1,2,2,2,4,1,1,1,1,2,1,1,1,1,1,1],[4324320,36288,1280
,1440,1386,54,840,480,192,72,32,96,3360,462,60,18,18,6,54,20,2,24,32,32,8,24,
18,3360,48,48,840,6,6,6,18,6,20,18,2,2,18,6,6,8,18,2,6,6,2,32,48,32,6,6,2,24,6
,2,2,6,2,6,2,2,6,6,2,2,2,2,8,8,2,420,6,2,2,6,2,2,2,16,12,2,2,3,4,3,1,1,1],[
4324320,1440,216,24,720,30,72,12,720,12,72,6,6,12,72,6,6,72,6,72,6,6],[4324320
,1440,216,24,48,30,12,4,48,4,54,6,6,4,6,2,2,6,2,6,2,2],[4324320,1440,216,24,48
,30,12,4,48,4,54,6,6,4,6,2,2,6,2,6,2,2],[4324320,32256,480,15120,1260,108,840,
160,24,168,72,3360,420,4,384,48,36,12,8,24,16,36,3360,16,16,840,24,24,24,16,4,
24,8,12,4,12,60,8,12,4,12,16,8,8,8,8,8,4,8,8,60,4,4,24,4,12,4,8,8,8,420,4,4,4,
8,4,4,4,8,12,4,4,4],[4324320,32256,480,166320,2520,30240,80,160,168,72,3360,
3360,48,624,48,24,80,24,24,2520,3360,16,16,30240,360,360,16,8,16,24,24,8,48,60
,24,60,12,24,16,8,8,80,8,8,8,8,8,60,4,4,360,4,12,8,8,24,8,3360,4,4,4,8,4,16,4,
8,60,8,4,4],[4324320,44352,3360,15120,1260,108,1344,1120,192,384,3360,672,420,
144,28,12,384,48,36,84,96,128,36,3360,112,112,840,24,24,24,36,16,24,32,48,24,
24,28,12,12,60,48,4,12,12,4,12,24,112,24,56,8,8,16,16,8,8,12,60,4,12,12,4,24,4
,4,4,12,4,24,24,8,420,12,4,4,4,4,8,4,8,28,4,8,12,12,4,4,4],[4324320,44352,3360
,166320,2520,30240,504,560,1120,216,72,3360,4032,480,48,2064,48,24,560,72,72,
2520,3360,112,112,30240,360,360,144,16,8,24,160,48,24,56,8,8,60,72,48,180,12,
24,24,112,24,560,8,8,48,24,8,8,8,60,4,12,12,4,360,8,24,8,12,4,24,72,8,3360,12,
4,4,4,4,48,4,8,112,4,8,60,24,12,4,4],[4324320,36288,1920,1568,151200,126,108,
30240,256,480,128,224,32,32,3360,3360,42,640,6,144,18,6,12,6,720,128,2,18,6,2,
240,128,16,32,16,36,3360,128,48,128,48,30240,18,18,16,2,2,128,2,48,48,16,6,2,6
,6,2,2,6,6,2,6,16,12,2,12,6,6,4,2,16,128,48,16,16,240,128,2,2,16,2,6,6,2,2,2,6
,2,6,2,6,2,2,18,6,4,2,2,2,2,2,16,16,2,3360,6,2,2,2,2,2,2,6,6,2,2,128,48,2,2,6,
16,6,2,2,2],[4324320,32256,480,166320,2520,30240,80,160,560,160,3360,3360,48,
624,48,24,80,160,80,2520,3360,16,16,30240,360,360,16,8,16,240,32,16,8,60,80,60
,12,24,16,16,80,8,8,16,16,8,60,4,4,360,4,12,8,16,80,8,3360,4,4,8,4,16,4,8,60,
16,4,4],[4324320,32256,480,15120,1260,108,840,160,24,16,160,3360,420,4,384,48,
36,12,8,160,8,36,3360,16,16,840,24,24,24,16,4,12,16,16,4,4,60,8,12,4,12,16,16,
8,8,8,4,16,8,60,4,4,24,4,12,4,16,8,8,420,4,4,8,4,4,4,8,12,4,4,4],[4324320,
92736,1440,166320,2520,30240,7560,80,480,216,2520,72,3360,16800,2520,240,24,
1344,144,24,80,72,2520,72,24,24,24,2520,3360,16,16,30240,360,360,48,8,1080,80,
72,24,24,360,8,60,24,2520,24,120,24,24,360,24,16,2520,360,72,8,360,8,8,8,80,8,
8,24,8,60,4,4,360,120,24,8,24,8,8,24,8,8,3360,60,4,4,360,8,8,8,360,24,16,4,8,
60,8,60,4,4,4],[4324320,32256,1920,480,15120,1260,108,840,160,256,24,32,144,
3360,420,320,72,4,24,384,48,36,12,24,8,32,48,8,24,36,3360,16,16,840,24,24,24,
16,4,64,16,12,4,24,4,12,16,60,8,24,12,4,8,12,48,16,48,16,16,8,8,8,8,16,4,8,60,
4,4,24,8,4,12,4,4,8,8,8,8,420,8,4,16,4,8,24,4,4,8,12,4,8,4,4],[4324320,32256,
960,1440,15120,1260,108,840,240,160,64,96,32,24,2520,72,3360,420,160,180,48,36
,36,4,12,384,48,60,36,12,12,16,8,120,24,24,8,24,36,3360,16,16,840,24,24,24,16,
4,16,60,24,24,8,12,12,4,4,4,12,360,8,60,8,36,12,12,12,4,4,12,360,24,16,120,24,
24,8,24,8,8,24,8,8,8,8,4,8,60,4,4,24,12,4,4,4,12,4,4,8,8,8,8,420,60,4,4,24,8,4
,8,60,12,4,4,8,12,4,12,4,4,4],[4324320,32256,2400,166320,2520,30240,240,160,
144,72,144,3360,3360,432,48,624,240,24,80,24,144,24,24,2520,3360,16,16,30240,
360,360,16,24,16,64,48,16,24,24,16,60,24,48,60,36,24,48,16,144,16,16,8,80,8,8,
8,8,8,60,4,4,360,8,8,24,4,4,8,24,8,8,3360,8,4,16,4,8,48,16,4,8,60,8,8,4,4],[
4324320,30240,480,1952,151200,126,108,30240,32,32,32,144,24,144,3360,3360,160,
60,288,36,4,6,224,2,18,6,2,32,8,144,8,8,36,3360,32,32,30240,18,18,24,2,2,32,16
,18,2,48,4,8,2,2,18,2,6,8,36,2,6,6,4,4,2,48,32,144,18,2,18,2,2,2,32,2,2,8,2,2,
6,2,2,18,4,2,6,2,2,2,2,8,2,8,2,3360,6,2,2,18,2,2,2,48,32,2,2,6,8,6,2,2,2],[
4324320,32256,1120,15120,1260,108,840,160,160,40,24,1680,3360,420,120,4,384,
112,40,36,12,4,8,8,80,16,80,36,3360,16,16,840,24,24,40,16,24,16,4,4,40,12,4,4,
48,60,8,12,12,4,12,4,240,16,80,8,8,8,8,4,16,8,8,60,4,4,24,4,12,4,4,4,16,8,8,
420,12,4,8,8,4,40,4,4,8,12,4,4,4,4],[4324320,72576,480,166320,2520,30240,6720,
80,480,1680,3360,10080,48,1584,48,72,80,480,1680,80,80,2520,3360,16,16,30240,
360,360,240,24,48,8,720,48,48,60,80,180,12,72,240,16,1680,80,8,48,8,48,48,8,8,
60,4,4,360,24,36,12,16,80,8,3360,12,4,48,8,12,240,16,4,8,60,16,12,4,4],[
4324320,50400,480,352,151200,126,108,30240,2520,96,32,40,840,24,3360,6720,160,
48,240,64,22,36,30,6,4,32,24,840,24,8,8,8,36,3360,32,32,30240,18,18,16,18,10,4
,6,2,240,64,16,16,6,6,6,8,12,12,4,12,4,120,8,32,840,24,32,2,2,6,16,6,6,2,2,2,6
,2,2,18,4,4,4,12,4,8,8,2,3360,6,2,2,6,6,2,4,120,8,32,2,2,6,8,6,2,2,2],[4324320
,52416,3360,75600,1008,6048,1512,80,1120,216,504,72,560,6048,1008,432,48,672,
48,48,80,72,504,72,24,24,24,1008,560,56,56,6048,72,72,16,8,72,144,24,8,48,72,8
,50,8,24,1008,48,48,8,12,8,56,12,4,4,504,72,72,8,72,8,8,8,80,8,8,8,8,50,8,2,18
,8,18,8,2,72,48,8,12,4,4,4,4,4,8,24,8,8,8,2,2,18,2,8,2,2,2,2,2,2,72,8,8,4,8,8,
8,8,2,2,4,2,4,2,2,2,2,2,2,2,8,2,8,4,2,2,2,2,2,2],[4324320,16128,480,75600,1008
,6048,80,160,1680,160,560,672,48,48,80,160,80,1008,560,8,8,6048,72,72,16,8,480
,48,16,50,8,80,48,120,8,8,8,8,80,8,8,16,8,50,8,2,2,72,24,8,8,8,8,80,8,40,8,2,2
,6,2,2,2,8,8,8,8,2,2,2,2,8,2,4,8,2,2,2],[4324320,16128,480,75600,1008,6048,80,
160,840,72,560,672,48,48,80,24,24,1008,560,8,8,6048,72,72,16,8,120,8,96,50,8,
24,48,60,12,8,8,8,80,8,8,8,8,50,8,2,2,72,24,8,4,4,8,24,8,10,2,8,2,2,12,2,2,8,4
,8,8,2,2,2,2,8,2,4,2,4,2,2],[4324320,28224,960,1632,30240,252,48,480,64,96,32,
1680,32,560,2016,252,12,144,12,12,240,12,12,12,16,240,32,252,560,32,24,32,24,4
,12,48,4,12,4,4,12,240,48,20,2,16,252,12,12,12,12,120,8,8,32,24,8,8,4,48,20,2,
2,2,6,2,2,6,2,2,4,12,12,4,12,4,12,8,24,8,2,20,6,6,2,2,2,2,2,2,2,4,12,4,8,2,2,2
,2,2,6,2,4,2,2,2,2,2,2,2,2,2,2,2],[4324320,40320,2400,30240,252,1512,800,216,
48,32,560,2688,252,192,12,384,96,12,72,32,24,252,560,40,40,32,144,64,48,16,12,
12,12,20,2,8,252,12,12,12,12,8,8,12,40,12,16,12,20,2,4,8,2,8,2,4,4,12,12,4,12,
4,12,12,8,4,2,2,2,8,4,2,4,4,4,4,12,4,4,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,2],
[4324320,28224,1440,30240,252,480,2184,120,560,2016,252,144,12,240,12,240,24,
24,252,560,24,24,48,12,240,12,48,12,20,2,24,252,12,12,120,8,24,4,4,48,12,20,2,
6,2,6,2,252,12,12,12,12,24,4,4,2,20,2,6,2,6,2,12,12,12,4,2,2,2,6,2,12,2,2,2,2,
2,2,2,2,2],[4324320,40320,960,2592,30240,252,1512,48,800,64,96,32,216,504,72,
560,2688,252,12,192,12,12,384,96,12,12,12,16,72,24,24,24,8,24,252,560,32,40,32
,40,32,4,144,12,64,48,16,4,12,4,4,12,20,2,8,252,12,12,12,12,12,12,12,8,32,40,8
,8,12,4,4,4,16,20,2,4,2,2,8,2,2,8,2,4,2,252,12,12,12,12,4,12,4,12,4,4,8,12,4,4
,4,4,4,2,8,2,2,2,4,2,4,2,4,2,4,2,12,12,4,4,12,4,4,4,2,2,2,2,2,2,2,4,2,4,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[4324320,28224,1440,30240,252,480,784,144,32,
560,2016,252,144,12,240,12,32,48,252,560,24,24,48,12,16,4,16,4,20,2,16,252,12,
12,20,12,8,24,4,4,8,4,20,2,6,2,6,2,252,12,4,12,4,4,8,4,4,2,4,2,2,2,6,2,12,4,4,
4,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2],[4324320,28224,960,1632,30240,252,48,480,64
,96,32,280,120,560,2016,252,12,144,12,12,240,12,12,12,16,16,24,24,16,252,560,
32,24,32,24,4,12,48,4,12,4,4,12,12,16,4,16,4,12,20,2,8,252,12,12,12,12,20,20,8
,32,24,8,8,4,4,4,12,8,4,4,4,20,2,2,2,6,2,2,6,2,2,12,12,4,12,4,12,4,4,8,8,8,4,4
,2,4,2,4,2,2,2,2,6,2,2,2,2,2,2,2,12,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2],[4324320,40320,2400,30240,252,1512,800,216,1960,72,
560,2688,252,192,12,384,96,12,72,400,72,252,560,40,40,32,144,64,48,16,12,240,
16,4,64,4,20,2,72,252,12,12,12,12,140,12,12,40,12,16,64,16,4,16,16,20,2,4,8,2,
8,2,4,12,12,4,12,4,12,4,4,12,40,12,2,16,20,4,2,8,2,8,4,2,4,4,4,12,4,4,4,4,12,2
,2,2,2,2,8,4,2,4,4,4,4,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2],[4324320,1152,1440,216,
24,32,16,30,12,16,4,4,54,10,6,2,6,4,6,2,2,2,2,2,2,2],[4324320,1152,1440,216,24
,32,16,30,12,16,4,4,54,10,6,2,6,4,6,2,2,2,2,2,2,2],[4324320,1152,1440,216,24,
32,240,30,72,16,12,12,72,10,6,2,6,4,72,2,6,24,6,4,6,2],[4118400,17280,1280,
28800,1080,72,144,96,1920,240,64,128,80,72,8,20,240,48,24,36,12,24,32,8,4,240,
16,16,24,12,4,8,20,2,2,2,2,12,4,16,8,8,2,2,4,2,2,2,12,4,2,2,2,2,2,4,2,4,2,2,2,
2,2,2,2,2,2,2,2,2,2],[4118400,17280,1280,28800,1080,72,144,128,1920,240,16,72,
32,8,20,240,48,24,36,12,8,16,8,4,240,16,24,12,4,4,8,20,2,2,2,2,12,4,16,4,8,2,2
,4,2,2,2,12,4,2,2,2,2,2,4,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2],[4118400,17280,28800,
1080,72,144,480,1920,240,72,20,240,48,24,36,12,24,4,240,24,12,20,2,2,2,2,12,4,
240,4,2,2,12,2,2,2,2,2,4,12,2,2,2,2,2,2,2],[4054050,62370,1170,1650,56700,5670
,8190,210,150,1290,90,162,150,30,126,270,18,66,630,126,30,30,5040,72,540,156,
210,90,1290,78,6,6,18,6,30,18,18,54,18,90,90,90,270,42,42,30,6,18,18,42,630,90
,18,18,54,30,42,6,6,30,6,6,6,6,18,6,6,30,6,18,18,30,6,6,6,30,90,30,30,6,6,6,18
,18,6,18,18,18,6,6,6,5670,72,84,12,24,540,72,12,12,24,12,270,42,18,42,18,12,6,
90,90,6,6,6,12,6,42,18,18,12,12,6,12,6,12,12,18,6,30,90,30,18,30,6,6,6,6,6,6,6
,18,18,18,6,18,6,6,6,6,6,6,6,6,18,18,18,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6
,6,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,18,6,6,6,6,6,6,6,6,6,6,630,18,24,12,90,
78,84,12,12,72,12,12,12,12,12,12,12,12,90,42,6,6,30,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,18,6,6,6,12,18,18,12,6,6,18,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,18,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,18,42,6,12,90,6,6,18,12,12,6,12,
12,12,12,12,12,18,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,42,6,6,12,6
,18,6,6,6,12,6,6,6,6,6,12,12,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6],[
4054050,39690,2250,2370,1890,39690,630,930,810,810,162,474,474,162,234,54,18,
186,630,54,150,30,630,90,54,18,30,54,18,210,810,30,474,6,162,162,6,810,162,162
,186,162,18,6,162,18,42,186,162,162,162,18,42,630,30,54,18,18,150,18,18,6,90,
30,30,30,30,18,18,18,18,6,18,18,30,6,6,6,30,30,90,6,6,30,6,18,18,18,6,30,6,18,
18,18,630,30,54,6,6,30,18,6,18,18,6,6,18,18,810,42,18,186,162,162,162,162,6,
162,6,6,162,162,162,42,30,30,90,6,6,6,6,6,6,6,18,18,18,30,30,90,18,18,18,6,6,6
,6,6,6,6,6,6,18,6,6,6,18,18,6,6,6,6,6,6,6,6,6,6,18,18,18,6,18,30,18,18,18,18,
30,18,18,18,18,30,18,18,18,18,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,30,6,6,6,6,6,6
,18,18,18,6,6,630,30,30,30,18,18,6,6,30,30,18,18,6,6,6,6,18,18,6,6,6,30,42,162
,6,162,162,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,90,30,18,18,18,6,6,6,6,6,6,6,6,6,6
,18,18,18,18,30,30,6,6,6,6,6,6,6,6,6,6,6,18,6,18,30,18,18,18,18,18,6,6,6,18,6,
6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,18,18,18,6,6,6,6,6,6,18,6,6,6,6,6,30,18,6,6,6
,18,18,30,6,6,6,6,6,6,6,6,6,6,6,6,6,162,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6
,6,18,6,6,6,18,6,6,6,6,6,18,18,18,18,6,6,6,6,6,6,6,6,6,30,6,6,18,6,6,6,6,6,6,6
,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,30,6,6,6,6,6,6,6,6,6],[4054050,39690,2250,
2370,1890,17010,1890,630,570,690,90,330,402,114,270,162,54,174,630,54,150,30,
630,90,54,18,30,54,18,420,450,90,258,18,66,90,18,330,90,90,150,90,54,18,90,54,
84,126,114,66,90,54,84,630,30,54,18,18,150,18,18,6,120,30,30,30,30,18,24,24,24
,6,24,24,90,18,18,18,90,30,120,18,18,30,6,18,18,18,6,30,18,24,24,24,270,45,54,
6,6,30,18,6,18,18,6,6,18,18,270,84,54,126,90,54,78,66,18,66,18,18,78,66,54,84,
30,30,60,6,6,6,6,6,6,6,12,12,12,90,30,120,18,18,18,18,18,18,6,6,6,6,6,18,24,6,
6,6,18,18,6,6,6,6,6,18,18,18,18,18,24,24,24,18,24,30,24,24,24,24,30,24,24,24,
24,30,24,24,24,24,90,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,30,18,18,18,
6,6,6,24,24,24,18,18,90,15,45,6,9,3,15,18,3,9,6,6,18,18,6,6,6,84,54,18,66,54,
90,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,60,30,12,12,12,6,6,6,6,6,6,6,6
,6,6,12,12,12,12,30,30,6,6,6,6,6,6,6,6,6,18,18,24,6,18,30,24,24,24,24,24,18,18
,18,24,18,18,6,6,6,6,6,6,6,24,6,6,6,6,6,6,6,12,12,12,18,18,18,18,18,18,9,18,3,
3,45,15,3,3,3,9,3,6,3,3,3,9,6,6,54,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,18,18,18,
18,24,6,6,6,12,6,6,6,6,6,12,12,12,12,6,18,6,6,6,6,6,6,6,45,15,9,3,3,15,3,6,9,3
,3,3,3,3,9,18,12,6,6,6,6,6,6,6,6,6,15,3,3,3,3,3,9,3,9,9,3,3,3,3,6,9,3,3,3,3,3,
3,3],[4054050,28350,1830,810,162,3150,90,60,450,46,54,168,16,120,90,54,36,150,
34,36,6,450,8,4,30,20,20,24,8,30,30,30,90,12,6,26,10,6,18,12,12,30,14,14,20,4,
6,2,10,26,2,16,16,6,6,4,30,60,26,2,10,2,6,4,12,12,8,8,6,6,18,6,10,6,90,12,6,2,
4,30,30,2,4,6,30,6,6,4,4,2,2,2,2,12,2,6,4,30,6,26,2,2,2,2,2,2,2,4,12,12,12,12,
4,4,8,4,10,6,6,2,6,2,2,2,6,6,6,6,2,2,2,2,2,2,2,4,4,12,2,2,2,2,4,2,2,2,6,2,2,4,
8,8,6,6,2,2,2,30,2,6,2,2,2,2,2,4,6,4,4,2,2,2,12,12,2,2,2,2,2,4,30,2,4,2,2,2,2,
2,2,2,2,2,4,2,2,12,2,2,2,6,2,2,2,2,12,2,2,2,2,2,2,2,2,2,2,6,6,2,2,6,2,4,2,2,2,
2,2,2,2,12,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,6,6,4,6,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2
,2,2,2],[4054050,28350,1110,1530,162,3150,630,180,450,46,102,72,32,12,90,50,
108,90,22,18,6,6,630,450,8,12,90,8,8,4,8,30,30,30,90,42,42,6,14,10,36,90,36,90
,8,8,6,14,18,14,6,6,6,4,4,90,6,90,90,6,6,6,6,18,12,8,14,6,4,2,18,6,10,2,90,42,
6,2,4,30,30,6,4,18,18,4,4,6,6,2,2,4,4,6,90,90,18,6,6,6,6,6,6,6,6,12,4,6,6,6,14
,6,6,4,4,4,4,4,90,6,6,6,6,6,6,6,4,6,6,2,2,2,2,2,6,6,2,2,2,2,6,6,2,2,2,30,2,90,
6,6,6,18,4,4,6,6,6,2,2,2,6,2,2,2,18,4,4,6,2,2,2,2,2,2,4,6,6,6,2,2,2,6,6,2,2,2,
2,2,2,6,2,2,2,6,6,2,2,2,2,2,18,4,6,2,2,2,6,2,2,6,2,2,2,2,2,2,2,6,2,2,2,6,2,2,2
,6,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2],[4054050,17010,450,2130,56700,5670,630
,30,230,210,66,66,54,22,18,126,54,14,630,126,110,30,144,540,60,90,30,30,18,14,
10,10,10,6,6,10,6,18,14,18,18,6,10,2,6,30,60,36,24,12,12,8,10,12,18,2,10,2,4,6
,6,6,70,30,20,22,6,14,6,18,6,6,14,18,10,4,4,4,5670,72,12,12,8,24,8,4,180,20,20
,18,6,6,4,2,6,6,10,6,4,2,30,10,12,6,6,6,2,4,4,10,2,2,4,6,4,6,2,2,2,10,18,6,6,2
,2,10,6,2,2,4,2,2,2,2,6,6,2,6,6,4,4,2,2,4,6,6,2,2,6,2,2,6,2,10,10,2,6,6,2,4,4,
4,6,6,2,2,36,24,8,4,4,90,30,12,4,4,4,4,4,8,4,8,6,2,6,4,2,2,2,4,2,2,10,6,2,2,2,
2,2,2,2,2,2,2,4,6,2,2,6,2,2,2,2,6,2,2,2,2,6,6,6,2,2,2,2,4,2,2,2,4,2,2,4,6,2,2,
2,2,2,18,6,6,4,4,6,2,30,10,10,8,4,4,4,4,4,4,6,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,
2,2,2,4,2,2,6,2,6,4,2,2,2,2,4,2,2,4,2,4,4,4,2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,
2,2,2],[4054050,69930,810,3330,56700,17010,8190,270,690,1970,186,330,162,82,54
,486,126,54,1470,126,70,14,5040,216,900,108,690,1290,162,42,82,82,42,270,54,54
,54,54,162,114,186,342,54,54,54,54,126,1470,250,126,78,78,42,42,26,70,42,18,14
,14,14,14,6,14,14,70,250,14,14,14,14,42,78,42,26,14,14,5670,540,72,36,44,36,
540,120,72,36,20,12,180,12,24,4,270,270,126,54,54,54,54,54,90,114,82,42,42,54,
54,54,70,70,18,18,18,14,14,14,14,6,14,6,6,14,14,6,6,70,250,18,42,42,42,14,14,
14,6,14,14,14,14,14,14,14,14,6,6,14,14,54,78,54,42,26,26,26,26,18,18,26,14,14,
14,14,14,14,14,14,14,42,54,14,14,14,14,14,14,18,26,18,18,6,6,6,6,630,54,180,24
,12,12,12,4,12,150,54,12,36,36,72,72,12,20,12,12,24,4,4,24,4,24,4,4,12,12,4,4,
90,54,42,54,54,70,18,18,14,14,14,6,6,6,14,14,6,6,6,6,6,14,14,14,14,14,18,14,14
,6,6,6,6,42,54,14,14,14,14,14,6,14,14,14,14,14,14,14,18,18,18,18,26,18,6,6,6,6
,6,6,6,6,14,6,6,6,14,14,6,14,14,14,14,6,18,18,6,6,6,6,6,6,6,6,18,6,6,6,90,18,
18,22,18,36,90,18,10,30,18,6,30,6,12,12,6,2,24,4,4,4,12,4,4,4,12,4,12,12,12,4,
4,4,4,4,4,4,4,4,54,6,6,18,14,14,14,14,6,14,14,14,14,14,6,14,6,6,18,6,6,6,6,6,6
,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,18,30,6,6,6,6,2,6,18,18,6,10,6,6,2,2
,6,2,4,6,2,2,12,6,2,2,6,6,4,4,4,4,4,4,4,14,6,6,6,6,6,6,6,6,18,6,6,6,2,2,2,2,2,
2,2,2,2,6,2,2,2,2,2,2,4,2,6,6,6,6,6,2,6,2,2,2,2,2,2,2,2],[4054050,62370,450,
1410,56700,5670,8190,30,110,1290,90,114,54,14,18,270,18,14,630,54,50,18,5040,
72,540,60,90,1290,30,6,6,10,6,10,6,6,10,6,90,90,90,270,6,10,2,6,18,630,90,18,
18,30,18,6,6,10,6,2,2,10,2,6,6,10,90,20,10,2,10,2,6,18,6,10,14,6,4,4,4,6,2,
5670,72,12,12,8,540,72,12,12,8,20,270,18,6,6,4,2,90,90,6,6,6,4,2,10,6,6,4,4,2,
4,2,4,4,6,2,2,2,2,10,90,6,10,2,2,2,2,2,2,2,18,18,18,6,10,6,6,6,6,6,6,2,2,6,6,6
,2,6,2,2,18,10,6,2,2,2,6,6,4,4,4,6,2,2,2,2,2,630,18,8,4,90,30,12,4,72,12,12,4,
4,4,8,4,90,6,2,6,2,2,2,4,6,6,4,2,2,10,2,2,2,2,6,2,4,18,2,6,2,2,2,2,2,6,6,6,6,6
,2,2,6,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,18,6,6,4,90,6,6,18,4,12,10,4,4,4,
4,4,4,6,2,2,6,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,4,2,18,6,6,2,4,2,4,2,4
,4,2,2,2,2,2,2,2,2,6,2,2,2,2,2,4,2,2,2,2,2,2],[4054050,51030,750,2970,1890,
34020,3150,390,720,1290,126,270,108,60,306,108,26,1260,72,150,10,630,270,18,18
,90,54,6,210,720,450,108,36,60,60,36,270,102,54,126,162,14,26,18,18,18,108,
1260,180,72,48,48,150,24,24,16,90,10,10,18,6,6,6,6,6,2,30,2,30,180,90,2,2,10,6
,18,48,24,16,6,6,6,630,30,18,18,6,90,54,18,18,6,6,6,18,6,270,90,14,108,30,54,
60,36,36,18,18,18,30,30,90,6,6,6,2,2,2,2,2,2,2,2,6,6,30,180,90,6,18,18,18,2,2,
2,2,6,6,6,6,6,2,6,6,2,2,6,6,36,48,36,24,16,16,16,16,12,12,16,6,10,6,6,6,6,30,2
,2,2,2,2,18,36,2,6,6,12,16,6,2,6,6,2,2,6,2,2,6,2,6,2,630,90,30,30,18,6,2,2,90,
30,6,18,2,2,6,18,6,6,6,6,18,30,30,18,36,30,2,2,2,90,30,6,6,6,6,6,2,2,2,2,2,2,2
,2,2,2,2,30,30,6,2,2,2,2,2,2,12,6,2,2,18,36,2,2,6,6,6,6,6,6,12,12,12,12,16,6,6
,2,2,2,6,2,2,2,2,2,2,6,6,6,2,2,2,2,2,2,6,2,2,2,6,2,2,2,6,2,2,2,2,2,6,6,18,2,90
,6,6,6,6,6,18,18,18,30,2,2,2,2,2,6,6,2,30,6,2,2,2,2,2,2,2,2,12,6,6,2,2,2,6,2,2
,6,6,2,2,6,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,30,6,18,6,6,6,6,6,2,2,2,2,6,2,2,2,2
,2,2,2,2,30,2,6,6,6,2,2,6,2,2,2,2,2],[4054050,13230,1110,2730,1890,630,390,300
,90,102,86,72,56,36,90,36,50,840,60,30,26,180,36,24,30,18,6,210,30,12,32,12,4,
90,24,24,12,24,6,10,6,6,14,26,6,30,18,12,60,36,24,30,12,24,4,30,8,8,2,10,18,6,
18,2,2,6,2,8,8,30,2,30,60,30,10,2,2,2,6,12,8,8,12,4,10,2,4,6,630,30,2,18,6,6,2
,4,4,6,2,6,6,14,18,6,12,2,4,6,12,60,6,8,4,8,4,2,2,6,2,2,4,4,6,30,30,6,12,6,2,
10,2,2,2,4,6,2,2,2,2,4,2,6,6,4,8,2,2,4,4,8,4,2,2,2,10,2,2,4,4,4,4,4,30,2,2,2,2
,2,6,4,2,2,2,4,4,2,2,6,6,2,2,6,2,2,6,2,6,2,60,24,12,4,4,30,30,6,6,2,2,2,2,30,6
,2,6,2,2,6,30,2,2,2,4,8,4,6,2,2,4,6,2,2,2,4,4,2,2,2,2,2,2,2,2,2,4,4,2,2,4,2,2,
2,6,2,2,2,2,2,6,2,4,2,2,2,2,4,2,2,2,6,2,2,2,6,2,2,2,6,2,2,2,2,2,2,2,4,4,2,6,6,
6,2,2,4,2,2,2,2,6,2,2,6,2,4,2,2,2,2,2,4,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,30,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,4,6,2,2,2,2,2,2,2],[4054050,24570,810,
1170,56700,17010,630,270,330,410,66,186,162,58,54,54,18,54,210,90,10,18,900,
108,330,30,162,6,58,58,6,270,54,54,54,54,18,6,66,18,54,54,54,54,18,210,10,18,6
,6,6,6,2,10,6,2,2,2,2,2,2,10,10,18,2,2,6,18,6,6,10,10,10,6,2,5670,540,72,36,44
,36,16,24,4,270,18,54,54,54,54,54,6,58,6,6,54,54,54,10,10,12,2,2,2,2,4,10,2,6,
4,4,10,10,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,
10,2,2,6,2,2,6,2,2,2,2,2,150,54,12,36,36,24,4,4,8,4,4,4,54,6,54,54,10,2,2,2,2,
2,2,2,2,2,2,6,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,4,2,2,4,
2,2,2,6,4,2,2,2,2,90,18,18,22,18,36,8,6,2,8,4,4,4,4,4,54,2,2,2,2,2,2,2,2,2,2,6
,2,2,2,2,2,2,2,2,2,2,2,4,2,6,18,18,2,2,4,6,2,2,4,4,4,2,2,2,2,2,2,2,2,18,2,2,2,
2,4,4,2,2,2,2,2,2],[4054050,35910,750,1290,1890,34020,630,390,360,450,54,158,
108,36,18,26,840,60,210,22,630,90,18,6,30,18,6,210,360,30,108,36,36,270,6,2,54
,6,14,26,18,18,18,630,30,18,6,6,150,6,6,2,90,10,10,6,6,6,30,2,90,60,90,14,14,
22,6,18,24,20,8,12,12,6,6,2,630,30,2,30,6,6,2,2,6,18,2,6,6,270,14,2,36,18,18,
18,30,60,90,6,2,8,8,2,8,2,6,2,6,6,30,30,90,2,2,2,2,6,6,6,2,2,2,2,2,6,10,6,6,6,
6,30,2,2,2,2,2,18,6,12,12,12,14,6,6,2,8,6,2,12,6,6,2,4,2,2,2,2,630,30,30,30,6,
6,2,2,30,30,6,6,2,2,2,30,6,2,6,2,2,2,18,30,2,2,2,90,30,6,6,6,2,2,2,2,2,30,30,2
,2,2,2,2,2,2,2,12,6,6,2,4,2,2,2,6,2,4,2,2,2,2,8,2,6,6,6,6,6,2,2,2,2,2,2,2,2,2,
2,2,30,6,2,2,2,6,30,2,2,2,2,2,6,2,6,2,2,2,30,2,2,2,2,2,2,6,6,2,2,2,2,2,4,2,2,2
,2,2,2,2,2,2,2,30,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,30,2,2,2,2,2,2,2,2],[4054050
,17010,1170,2370,1890,5670,630,210,270,210,66,114,150,38,126,126,54,66,630,54,
90,10,180,12,30,54,18,210,90,30,78,18,14,18,10,30,18,18,54,18,18,14,18,18,42,
42,30,6,18,30,42,60,36,24,12,30,12,8,30,6,6,6,6,12,18,6,14,6,4,6,10,10,30,6,6,
6,90,30,30,10,10,10,2,6,6,6,6,6,6,6,6,6,6,2,630,30,54,6,6,18,6,4,2,18,2,42,18,
42,18,12,6,6,6,10,6,12,6,42,30,6,6,6,2,4,2,2,2,4,2,2,30,30,18,6,6,6,6,14,6,2,2
,4,2,6,6,2,6,6,2,6,6,4,4,2,2,4,10,10,6,6,10,6,6,10,6,6,6,6,6,6,6,6,6,6,6,6,6,6
,6,6,6,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,10,2,2,6,6,6,6,6,6,6,2,2,6,2,2,2,2
,2,6,2,2,2,6,2,2,2,60,12,18,2,2,2,30,30,18,18,6,6,6,2,30,2,42,6,6,30,6,6,6,6,6
,6,6,6,6,6,6,6,6,6,6,6,4,2,2,2,4,2,2,6,6,6,6,2,2,6,6,6,6,6,6,10,6,6,6,6,6,6,2,
2,2,6,6,6,6,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,6,2,2,2,2,2,2,
2,6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,18,6,6,6,6,6,4,2,6,6,6,2,2,6,6,6,6,6,6,6
,2,6,6,2,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
30,6,6,6,2,2,2,2,2,6,2,2,6,2,2,2,2,2,2,2,2,2,2,6,6,2,2,2,6,2,2,2],[4054050,
32130,1170,1170,1890,5670,3150,210,150,570,42,130,150,30,126,126,18,66,210,42,
30,14,90,90,18,210,90,450,78,6,6,18,6,30,18,18,54,18,42,34,42,102,42,42,30,6,
18,18,42,210,30,6,6,18,30,14,2,2,30,6,6,6,6,6,6,6,14,2,10,10,30,6,6,6,30,30,30
,14,6,6,2,6,6,2,6,10,10,6,6,6,630,30,54,18,18,10,6,6,6,90,42,18,42,18,12,6,30,
34,6,6,6,12,6,42,6,6,4,4,2,4,2,4,4,6,2,30,30,30,6,14,6,6,2,2,6,6,2,6,6,6,2,6,2
,2,2,2,2,2,6,6,10,10,10,6,10,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,30,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,10,6,6,2,2,2,6,6,6,6,6,90,30,18,30,6,6,6,6,30,6,6,2,2,2,
30,42,6,6,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,2,2,2,4,6,6,4,2,2,6,2,2,2,2,2,6,2
,6,6,6,6,6,6,6,6,6,6,10,6,6,6,6,2,2,2,2,2,2,6,2,2,2,2,6,2,2,2,2,6,6,6,6,6,6,18
,6,6,10,18,6,6,6,6,2,2,6,6,2,2,2,2,6,6,6,6,2,6,6,6,2,2,6,2,2,2,2,2,2,2,2,2,30,
6,6,6,2,6,2,2,2,6,6,2,2,2,2,2,2,6,2,6,2,6,2,2,2],[4054050,17010,1170,2370,
56700,5670,630,210,270,210,66,114,150,38,126,126,54,66,630,54,90,10,144,540,
156,210,90,30,78,18,14,18,10,30,18,18,54,18,18,14,18,18,42,42,30,6,18,30,42,60
,36,24,12,30,12,8,30,6,6,6,6,12,18,6,14,6,4,6,10,10,30,6,6,6,90,30,30,10,10,10
,2,6,6,6,6,6,6,6,6,6,6,2,5670,72,84,12,24,24,8,4,180,4,12,42,18,42,18,12,6,6,6
,10,6,12,6,42,30,6,6,6,2,4,2,2,2,4,2,2,30,30,18,6,6,6,6,14,6,2,2,4,2,6,6,2,6,6
,2,6,6,4,4,2,2,4,10,10,6,6,10,6,6,10,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,30,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,10,2,2,6,6,6,6,6,6,6,2,2,6,2,2,2,2,2,6,2,2,2,6,2
,2,2,36,24,8,4,4,90,78,84,12,12,4,12,12,4,12,4,12,12,4,42,6,6,30,6,6,6,6,6,6,6
,6,6,6,6,6,6,6,6,6,4,2,2,2,4,2,2,6,6,6,6,2,2,6,6,6,6,6,6,10,6,6,6,6,6,6,2,2,2,
6,6,6,6,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,6,
6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,18,42,6,12,4,6,2,30,2,6,4,4,4,12,12,4,4,12,4
,4,6,6,6,6,6,2,6,6,2,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,42,6,6,6,4,2,2,2,6,12,6,6,2,6,6,2,4,4,4,2,4,6,2,2,2,2,2,2,2,2,2,2,2
,6,6,2,2,2,4,2,6,2,2,2,6,2,2,2,2,2],[4054050,28350,1110,1530,1890,3150,390,180
,450,78,102,72,48,36,90,50,108,90,22,36,12,90,54,6,210,450,24,12,90,24,24,12,
24,30,30,30,90,14,26,6,30,18,36,30,36,90,8,8,2,10,18,14,6,6,6,4,4,30,2,90,30,6
,6,6,6,18,12,8,10,2,4,2,630,30,18,18,6,6,2,4,6,18,2,90,14,18,6,12,30,30,6,12,
18,18,12,12,6,6,6,6,4,4,6,90,30,18,6,6,6,6,6,6,6,6,12,4,2,2,2,10,2,2,4,4,4,4,4
,30,2,2,2,2,2,6,6,4,2,2,6,6,2,2,2,12,12,4,4,6,6,2,2,90,30,6,18,2,2,6,2,30,2,30
,6,30,2,2,2,18,4,12,6,6,6,6,6,6,6,2,2,2,6,4,4,2,2,2,2,2,6,6,4,6,6,2,6,2,2,6,6,
6,6,2,2,2,2,2,2,2,2,6,6,18,2,4,6,2,2,4,2,2,2,2,6,2,2,2,6,4,2,2,2,2,2,6,2,6,2,2
,2,2,6,2,2,2,2,2,6,30,6,6,2,2,2,2,2,2,2,2,2,6,2,2,2,2,4,6,2,2,2,2,2,2,2],[
4054050,24570,1530,1410,56700,17010,630,450,370,410,66,234,258,74,162,54,18,
106,210,18,70,14,900,204,210,330,30,210,6,58,66,6,290,66,66,98,66,18,6,66,18,
42,90,74,58,66,18,42,210,10,18,6,6,70,6,6,2,50,14,14,14,14,6,10,10,10,2,10,10,
30,6,6,6,30,10,50,6,6,14,2,6,6,6,2,14,6,10,10,10,5670,540,72,108,44,52,24,28,
270,42,18,90,66,54,62,58,6,58,6,6,62,58,54,42,10,10,30,2,2,2,2,2,2,2,6,6,6,30,
10,50,6,6,6,6,6,6,2,2,2,2,2,6,10,2,2,2,6,6,2,2,2,2,2,6,6,6,6,6,10,10,10,6,10,
14,10,10,10,10,14,10,10,10,10,14,10,10,10,10,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
14,6,6,6,2,2,2,10,10,10,6,6,150,102,84,12,36,44,24,28,4,20,12,12,4,20,42,54,6,
58,54,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,30,10,6,6,6,2,2,2,2,2,2,2,2,2,2,6,6,6,6
,10,10,2,2,2,2,2,2,2,2,2,6,6,10,2,6,14,10,10,10,10,10,6,6,6,10,6,6,2,2,2,2,2,2
,2,10,2,2,2,2,2,2,2,6,6,6,6,6,6,6,6,6,90,18,54,22,26,36,6,14,12,4,20,4,4,12,12
,54,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,10,2,2,2,6,2,2,2,2,2,6,6,6,6,2,6,
2,2,2,2,2,2,2,42,6,18,22,6,12,6,10,2,12,4,6,14,2,10,4,4,6,6,2,2,2,2,2,2,2,2,2,
18,4,6,10,2,2,2,6,6,2,6,6,2,2,2,2],[4054050,39690,810,1890,162,17010,3150,270,
450,930,106,234,162,66,54,198,54,54,630,54,30,6,18,450,450,162,18,66,66,18,270
,54,54,54,54,66,42,106,126,54,54,54,54,54,630,90,54,30,30,18,18,10,30,18,6,6,6
,6,6,2,6,6,30,90,6,6,6,6,18,30,18,10,6,6,18,6,10,6,270,90,54,54,54,54,54,54,30
,42,66,18,18,54,54,54,30,30,6,6,6,6,6,6,6,2,6,2,2,6,6,2,2,30,90,6,18,18,18,6,6
,6,2,6,6,6,6,6,6,6,6,2,2,6,6,18,30,18,18,10,10,10,10,6,6,10,6,6,6,6,6,6,6,6,6,
18,18,6,6,6,6,6,6,6,10,6,6,2,2,2,2,6,10,6,6,6,30,54,18,54,54,30,6,6,6,6,6,2,2,
2,6,6,2,2,2,2,2,6,6,6,6,6,6,6,6,2,2,2,2,18,18,6,6,6,6,6,2,6,6,6,6,6,6,6,6,6,6,
6,10,6,2,2,2,2,2,2,2,2,6,2,2,2,6,6,2,6,6,6,6,2,6,6,2,2,2,2,2,2,2,2,6,2,2,2,6,6
,6,6,2,54,2,2,6,6,6,6,6,2,6,6,6,6,6,2,6,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,6,6,2,2,2,2,6,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2],[4054050,
17010,1170,2370,324,5670,630,210,270,210,66,114,150,38,126,126,54,66,630,54,90
,10,36,6,6,210,90,30,78,18,14,18,10,30,18,18,54,18,18,14,18,18,42,42,30,6,18,
30,42,60,36,24,12,30,12,8,30,6,6,6,6,12,18,6,14,6,4,6,10,10,30,6,6,6,90,30,30,
10,10,10,2,6,6,6,6,6,6,6,6,6,6,2,36,27,9,6,9,2,42,18,42,18,12,6,6,6,10,6,12,6,
42,30,6,6,6,2,4,2,2,2,4,2,2,30,30,18,6,6,6,6,14,6,2,2,4,2,6,6,2,6,6,2,6,6,4,4,
2,2,4,10,10,6,6,10,6,6,10,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,30,6,6,6,6,6,6,6,6
,6,6,6,6,6,6,6,6,6,10,2,2,6,6,6,6,6,6,6,2,2,6,2,2,2,2,2,6,2,2,2,6,2,2,2,12,9,3
,2,1,1,6,3,3,6,3,6,3,3,42,6,6,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,4,2,2,2,4,2,2
,6,6,6,6,2,2,6,6,6,6,6,6,10,6,6,6,6,6,6,2,2,2,6,6,6,6,2,2,2,2,6,2,2,2,2,2,2,2,
2,2,2,2,2,2,6,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,
2,9,3,1,1,2,2,1,1,6,6,6,6,6,2,6,6,2,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,3,1,6,3,3,3,3,3,3,3,3,6,2,2,2,2,2,2,2,2,2,2,1,2,1,1,
1,1,1,2,3,1],[4054050,54810,1530,2850,14175,11340,6300,270,460,1570,186,378,
156,76,420,90,54,630,102,70,14,1575,255,99,315,87,210,420,1050,108,36,60,68,36
,110,162,114,186,300,42,54,22,22,22,90,630,120,54,38,54,70,48,24,16,50,14,14,
20,4,10,10,10,10,2,30,6,30,120,50,6,6,14,10,20,38,24,24,10,10,4,135,45,27,33,
31,9,19,225,87,51,31,63,27,39,19,33,21,27,9,45,9,7,21,9,7,90,240,42,90,90,114,
60,36,36,18,22,18,10,10,30,12,12,4,2,2,2,2,6,2,2,6,6,6,30,120,50,4,12,12,20,6,
6,6,2,10,6,6,10,6,6,10,6,2,2,6,10,30,38,30,24,24,16,16,16,12,12,16,10,14,10,10
,10,10,30,6,6,6,6,6,12,30,6,10,6,12,16,10,6,4,4,2,2,4,2,2,4,2,4,2,45,9,9,5,3,9
,9,5,5,3,5,5,5,1,5,7,21,15,15,21,11,9,27,27,9,15,15,19,9,9,45,33,21,31,15,21,
21,27,11,11,11,15,21,9,9,9,9,9,5,7,3,5,5,1,9,5,9,9,7,3,5,3,5,9,21,5,5,7,5,5,3,
1,3,3,5,5,3,5,3,3,5,5,5,3,1,1,90,18,36,30,6,6,6,30,10,12,4,6,6,6,2,2,2,6,6,6,2
,2,2,2,2,10,10,12,2,2,2,6,2,2,12,6,2,2,12,30,2,6,6,6,10,6,6,6,12,12,12,12,16,
10,4,2,2,2,4,2,2,6,2,6,2,6,4,4,2,2,2,2,2,2,4,2,2,2,4,2,2,2,4,2,6,2,2,2,15,9,9,
21,15,21,15,15,9,9,9,11,15,9,9,9,3,3,3,9,5,5,9,5,5,5,3,3,3,3,9,7,5,5,3,3,3,3,1
,5,3,3,3,5,1,5,3,5,3,3,3,1,3,1,1,3,1,1,1,1,1,3,3,3,5,1,3,5,3,5,5,5,3,3,3,3,3,5
,3,3,3,1,5,3,3,3,5,3,3,5,3,3,1,1,1,3,1,1,3,5,3,3,5,3,3,3,5,1,3,3,3,5,3,3,5,3,5
,1,1,1,3,1,3,1,3,3,3,3,3,1,3,1,3,3,1,1,1,1,1,1,1,1,1,1,10,12,2,2,2,2,6,2,6,2,
12,6,6,6,2,2,4,2,2,4,4,2,2,4,2,2,2,2,2,4,2,2,2,2,2,6,2,2,2,2,15,9,9,3,3,3,3,3,
1,1,3,3,1,1,3,3,3,3,3,3,3,3,1,1,3,3,1,1,3,1,3,3,3,1,1,1,3,1,1,1,1,3,3,1,1,1,1,
1,1,3,3,3,3,1,1,3,1,3,3,5,3,3,3,3,3,3,3,5,3,3,3,3,5,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,3,1,1,1,1,1,1,1,6,
2,4,2,2,2,2,2,2,2,2,3,1,3,3,1,3,3,3,1,3,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,3,1,1,3,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1],[3891888,18144,576,720,240,16,504,72,240,16,1008,3,8,8,8,240,24,8,12,
1008,24,1,3,24,1,8,24,12,36,24,12,3,1,24,1,4,4,3,4,24,4,1,4,3,3,1,4,3,1,3,3,1,
1,1,3,1,3,1,1,1,1,3,1,1,1],[3706560,576,3024,192,96,480,144,144,96,96,48,24,32
,16,144,48,24,4,16,8,4,8,24,4],[3706560,36288,3024,36288,1008,1008,480,1008,
144,1008,48,1008,216,24,48,8,8,144,1008,72,8,4,8,8,6,4,8,2,72,2],[3706560,
25920,1920,129600,25920,144,144,2880,2880,288,192,18,144,2880,25920,48,12,6,48
,9,144,6,6,6,3,9,3,3,6,2880,3,6,3,48,3,6,3,3],[3706560,25920,1920,1080,720,192
,144,2880,360,72,24,18,48,2880,720,24,12,6,48,9,48,6,6,6,3,9,3,3,6,360,3,6,3,
24,3,6,3,3],[3706560,192,3024,96,480,48,144,96,32,24,24,16,144,24,8,4,16,12,4,
4,4,12,2,2],[3603600,70560,240,113400,5040,288,10080,5040,80,80,240,1680,80,
13440,3360,1320,24,48,80,240,80,1680,80,80,80,80,5040,288,288,10080,600,80,48,
8,600,144,48,8,24,8,480,480,48,8,80,80,80,80,80,3360,240,96,48,1680,480,80,480
,80,8,24,8,8,48,8,8,8,8,288,80,600,48,48,48,8,48,24,24,80,8,80,8,8,80,80,8,8,8
,8,96,480,48,24,8,8,24,80,80,8,48,80,8,8,8,8,8,8,24,80,8,8,8,8],[3603600,10080
,1200,63000,1260,144,180,5040,140,120,80,36,16,840,24,80,120,96,48,360,120,36,
36,40,4,8,40,24,8,4,8,80,40,4,840,60,48,72,24,5040,140,60,36,20,12,8,4,4,60,36
,20,12,36,8,8,16,12,16,12,240,12,24,24,8,4,40,4,4,8,4,4,48,24,12,12,24,12,40,
24,16,12,4,16,12,40,4,4,4,4,4,8,24,8,4,4,8,8,4,4,24,4,60,36,12,12,12,20,12,8,8
,8,4,12,8,12,4,12,12,4,4,4,4,4,4,4,4,4,40,4,8,4,4,4,4,4,12,16,12,24,4,4,12,4,4
,4,12,4,4,4,4,4,12,8,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4],[3603600,15120,
720,720,113400,5040,288,10080,80,160,240,48,144,96,32,16,280,120,24,1080,216,
144,160,96,32,32,80,48,16,16,16,16,5040,288,288,10080,600,80,48,8,600,48,8,72,
40,24,24,8,8,8,24,8,8,80,32,16,16,16,40,24,16,144,160,96,40,16,40,8,8,24,8,8,8
,8,8,8,8,8,288,16,600,48,48,48,8,48,8,8,80,8,32,16,80,8,8,8,8,8,8,16,8,24,8,8,
40,8,16,8,16,48,80,8,8,8,8,8,8,8,16,8,8,8,8],[3603600,25200,240,1040,63000,
1260,144,180,5040,1400,160,400,48,112,16,16,120,40,840,40,40,1080,56,20,36,36,
12,8,160,80,16,16,16,16,16,48,16,48,40,40,840,60,48,72,24,5040,140,60,36,20,12
,8,4,4,60,36,164,12,12,8,40,4,4,4,4,60,24,16,8,16,12,4,4,12,4,4,40,16,16,16,16
,60,4,4,4,4,24,12,8,160,20,16,12,4,4,4,8,4,4,32,4,4,4,4,12,4,4,4,4,4,4,4,4,12,
4,8,4,4,4,4,24,16,60,36,12,12,12,20,12,8,8,8,4,12,8,12,4,4,4,4,40,4,4,16,4,4,4
,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,8,4,4,4,16,4,4,4,12,8,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4],[3603600,10080,3120,113400,5040,288,10080,80,80,80,96,144
,144,16,720,192,48,600,24,48,80,80,16,144,16,16,16,16,5040,288,288,10080,600,
80,48,8,600,48,8,8,8,16,48,16,48,8,16,80,16,16,16,16,192,48,48,48,144,48,16,16
,8,8,48,8,16,80,8,8,8,8,8,8,288,16,600,48,48,48,8,48,16,16,80,8,80,8,8,16,8,16
,8,8,8,8,8,48,48,16,16,16,8,8,16,16,8,16,8,8,48,80,8,8,8,8,8,8,16,16,8,8,8,8,8
,8],[3603600,10080,3120,63000,1260,144,180,5040,140,280,80,84,40,144,16,432,72
,36,48,360,24,36,36,40,4,16,72,24,8,12,8,16,12,8,840,60,48,72,24,5040,140,60,
36,20,12,8,4,4,60,36,20,12,12,8,8,4,4,72,8,24,4,12,4,32,8,12,12,4,8,4,4,12,8,4
,48,16,24,8,12,24,12,72,24,8,12,12,4,8,4,4,8,8,12,4,4,12,4,8,40,4,4,4,4,4,4,4,
8,4,4,24,4,60,36,12,12,12,20,12,8,8,8,4,12,8,24,4,8,4,4,4,4,4,4,4,4,4,12,4,4,8
,4,4,4,4,4,4,4,4,4,8,8,12,12,4,4,4,4,8,8,8,4,4,4,8,4,4,4,4,4,4,4,4,12,8,4,4,4,
4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4],[3603600,50400,1440,2640,37800,630,18,
5040,3780,480,720,96,240,48,324,108,48,420,36,5040,630,240,30,240,18,6,18,6,
720,216,30,18,18,18,360,96,24,108,48,24,108,60,36,36,12,12,12,12,630,18,18,180
,18,18,72,36,6,6,540,24,30,72,84,60,12,108,36,24,6,6,6,18,6,6,18,18,36,6,6,36,
12,108,24,12,12,12,12,12,630,6,18,6,30,90,18,54,6,6,18,18,6,6,18,18,18,36,6,72
,24,12,24,12,6,18,6,6,6,6,36,6,36,36,12,36,12,12,12,12,12,18,12,210,6,90,30,18
,6,54,18,6,6,6,6,6,18,6,18,18,18,18,18,6,6,6,6,18,6,6,6,18,6,18,18,36,12,6,12,
12,12,12,12,18,18,6,18,6,30,18,6,6,6,18,6,6,6,6,18,18,18,6,6,6,6,6,6,6,18,6,6,
18,12,18,18,6,18,6,6,18,6,6,6,18,18,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,18,18,6,6,6
,18,6,6,6,6,18,6,6,6,6,6,6,6],[3603600,80640,1680,75600,1890,72,5040,10080,360
,720,24,36,1260,60,11760,1890,60,168,24,6,1560,60,6,120,720,12,840,240,24,24,
12,120,24,12,1890,72,72,5040,120,6,120,72,6,6,1560,60,72,72,6,6,6,6,120,6,72,6
,24,12,120,12,12,12,12,1890,24,6,60,300,24,24,72,6,840,120,24,6,120,24,6,6,120
,24,72,6,6,24,6,24,6,72,6,72,12,210,6,120,6,6,6,300,60,6,24,6,6,6,6,6,6,6,6,
120,12,12,24,6,72,24,120,6,60,6,6,24,6,6,6,24,6,6,6,6,6,6,6,6,6,6,6,12,72,24,
24,6,6,24,6,6,6,6,6,6,6,24,6,6,6,6,6,6,6,6],[3603600,20160,960,1680,25200,630,
36,72,140,80,240,128,108,36,16,1260,60,1680,210,120,120,36,24,6,12,120,96,42,
12,12,16,12,40,24,8,24,8,120,12,12,8,210,24,12,18,6,140,8,2,8,2,8,2,24,8,36,24
,8,14,2,12,6,8,2,120,6,24,12,6,8,4,4,4,12,4,12,210,24,6,12,12,12,12,12,6,6,6,6
,6,40,8,8,2,8,8,2,2,12,2,4,4,2,4,2,24,6,12,2,4,6,4,210,6,8,2,2,2,12,12,12,2,2,
6,2,6,2,2,2,6,6,12,4,4,2,4,6,6,6,8,2,12,2,2,2,4,2,2,4,2,6,2,6,6,2,2,2,2,2,2,4,
6,6,6,2,2,2,4,6,2,2,2,2,2,6,2,2,2,2,2,2,2,2],[3603600,5040,720,2160,50400,72,
18,5040,48,48,32,48,72,48,40,8,192,6,6,2,8,96,18,6,48,8,48,12,8,4,8,8,8,6,18,6
,5040,18,18,6,16,6,2,6,2,2,2,16,6,4,8,4,8,4,6,6,2,6,6,2,2,6,48,2,2,2,48,6,2,6,
2,8,2,6,4,2,2,18,6,2,2,2,6,6,6,2,2,8,8,2,6,2,2,2,2,6,6,2,6,2,2,2,2,2,2,4,2,2,6
,2,2,2,2,2,2,2,6,2,2,2,2,2],[3603600,5040,720,240,216,234,5040,48,48,120,24,6,
6,18,12,48,120,24,24,24,24,24,6,72,6,54,18,18,6,6,24,24,24,6,6,6,6,6,6,6,6,6,
24,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6],[3603600,5040,720,240
,216,234,5040,48,48,120,24,6,6,18,12,48,120,24,24,24,24,24,6,72,6,54,18,18,6,6
,24,24,24,6,6,6,6,6,6,6,6,6,24,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6],[3603600,5040,720,240,1260,126,5040,48,48,120,24,6,6,60,126,36,36,48,
120,24,24,24,24,24,54,18,126,36,12,12,6,6,24,24,24,6,6,6,6,54,18,12,6,30,18,24
,6,6,54,18,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6],[3603600
,5040,720,240,50400,72,18,5040,48,48,120,24,6,6,96,18,48,120,24,24,24,24,24,6,
18,6,5040,18,18,6,6,48,24,24,24,6,6,6,6,48,6,48,6,24,6,6,18,6,6,6,6,24,6,6,6,6
,6,6,6,6,6,24,6,6,6,6,6,6,6,6,6,6],[3603600,80640,3600,37800,630,18,5040,12600
,360,2640,576,108,420,36,6720,630,432,54,6,1440,216,18,54,360,2160,432,108,420
,120,36,36,36,120,36,630,18,18,180,18,288,18,18,120,36,1320,336,72,144,96,18,
54,36,6,18,60,12,6,6,24,6,360,108,120,36,36,36,36,630,54,6,6,150,54,18,6,18,54
,18,18,60,24,12,12,12,12,6,6,6,72,36,72,288,18,72,96,36,36,18,24,6,12,24,12,6,
24,12,6,12,12,18,36,150,54,30,42,18,6,6,18,18,18,18,54,18,18,6,6,42,6,18,18,18
,30,6,6,6,6,6,6,72,36,24,12,12,12,6,12,12,12,12,12,18,18,18,6,6,18,18,6,42,18,
18,30,18,6,6,6,6,6,6,6,18,18,18,6,6,6,6,6,6,6,6,6,6,6,6,6,12,18,18,18,18,6,6,6
,6,18,18,6,6,6,6,18,18,6,6,6,6,6,6,6,6,6,6,18,18,6,18,6,6,6,6,6,6,6,6,6,6,6,18
,6,6,6,6,6,6,6],[3603600,30240,1440,2960,37800,630,18,5040,420,320,720,160,240
,80,164,84,48,140,44,2240,210,240,50,312,18,6,42,6,6,600,104,50,18,30,18,2,120
,96,40,24,24,36,48,24,28,140,44,12,12,8,8,4,8,8,4,12,8,630,18,18,180,18,24,18,
8,6,24,12,20,14,2,10,6,20,32,24,50,96,36,60,20,14,14,20,28,24,6,6,10,18,10,10,
6,18,8,6,2,6,6,10,2,20,2,12,6,6,8,8,2,2,2,12,24,4,4,4,8,4,4,12,8,4,210,6,42,6,
6,6,50,50,18,18,6,6,6,2,2,2,6,6,6,30,18,18,2,20,8,2,2,4,4,12,4,2,2,2,2,4,6,6,2
,2,12,4,6,6,24,24,12,8,8,4,8,24,12,6,6,10,6,6,6,6,6,6,12,4,6,4,6,14,2,8,8,2,2,
4,2,2,2,8,4,2,2,2,4,2,2,8,2,2,2,4,4,2,2,4,2,4,2,18,4,50,18,10,4,14,6,12,2,6,6,
6,2,2,2,2,2,6,2,6,2,18,18,18,6,2,18,6,6,6,2,10,6,6,2,14,2,2,2,6,6,2,2,2,6,10,6
,6,6,6,6,6,2,2,2,2,2,2,2,6,6,6,2,2,12,4,6,6,8,2,2,2,2,2,2,2,4,4,4,4,2,2,4,4,2,
2,4,2,4,2,4,2,18,6,6,6,6,6,2,2,6,6,6,2,2,2,14,2,6,2,2,2,2,2,2,10,6,6,6,2,6,6,6
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,6,6,6,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,18,6,6,6,6,6,6,2,2,2,2,6,6,6,6,2,2,2,2,2,2,2,2,
6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2],[3603600,20160,720,
113400,5040,288,10080,420,80,160,240,36,12,140,12,1120,48,1200,72,96,160,80,12
,12,140,12,4,4,4,4,4,5040,288,288,10080,600,80,48,8,600,60,48,8,36,24,24,12,16
,16,16,12,20,8,80,12,4,4,4,4,4,100,12,16,96,140,12,160,16,16,12,8,12,16,20,12,
4,4,8,4,4,4,288,4,600,48,48,48,8,48,24,4,4,8,80,12,8,12,80,8,8,12,4,4,4,4,4,4,
4,4,4,16,20,12,8,16,4,16,4,8,4,4,4,4,48,80,8,8,8,12,8,4,4,4,8,4,4,4,4,4,8,4],[
3603600,40320,400,63000,1260,144,180,5040,3920,40,400,40,4,420,4,3360,16,720,
40,40,36,36,4,40,400,40,4,420,40,4,4,4,40,4,840,60,48,72,24,5040,140,60,36,20,
12,8,4,4,60,36,128,12,40,8,40,4,4,4,4,240,16,4,12,4,4,40,4,40,4,4,4,4,60,4,16,
4,24,12,4,420,4,40,40,4,4,4,4,40,4,40,4,16,12,4,4,4,4,4,4,4,4,24,4,60,36,12,12
,12,20,12,8,8,8,4,12,8,4,12,4,4,4,4,4,4,4,4,4,4,40,4,40,4,4,4,4,4,4,4,4,4,12,4
,4,4,16,4,4,4,4,4,4,4,4,4,4,12,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4],[
3603600,20160,720,63000,1260,144,180,20160,140,240,240,240,12,4,140,12,140,4,
960,72,36,84,240,240,4,4,140,12,4,4,4,4,4,840,60,48,72,24,5040,140,60,36,20,12
,8,4,4,960,36,20,84,24,12,8,24,4,24,4,4,12,20,8,240,4,4,4,4,4,4,20,4,8,72,12,
140,4,120,4,4,12,24,4,24,4,4,20,12,4,4,8,4,4,4,24,4,60,36,12,12,12,20,12,8,8,8
,4,72,12,8,4,4,8,120,4,4,4,12,4,4,4,24,4,4,4,4,4,4,4,4,4,4,8,20,4,8,4,4,12,4,4
,8,4,4,4,4,12,8,4,4,4,4,12,4,4,4,4,4,4,8,4,4,4,4,4,4,4],[3603600,10080,560,
113400,5040,288,10080,320,80,80,80,80,600,56,80,48,8,280,80,80,80,40,40,5040,
288,288,10080,600,80,48,8,600,48,32,8,8,8,80,40,40,80,8,8,48,8,40,80,40,8,4,28
,8,8,8,4,4,288,40,600,48,48,48,8,48,80,8,80,8,8,4,4,8,4,8,4,40,40,4,4,48,80,8,
8,8,8,40,4,4,4,8,4],[3603600,40320,1680,113400,5040,288,10080,1260,80,320,560,
108,36,420,36,5040,840,216,24,2040,24,48,320,80,36,36,420,36,12,12,12,12,12,
5040,288,288,10080,600,80,48,8,600,144,48,8,8,8,60,72,72,12,4,24,24,4,60,4,48,
80,36,12,12,12,12,12,840,24,360,96,48,420,60,36,4,60,4,4,4,4,320,8,8,8,72,24,4
,4,4,48,4,4,288,12,600,48,48,48,8,48,24,24,12,12,80,36,8,80,8,8,12,12,4,4,4,12
,4,4,4,4,4,96,60,4,24,48,12,72,24,8,12,12,4,4,12,48,80,8,8,8,8,4,4,4,4,24,12,4
,12,4,4,8,4],[3603600,10080,1440,720,63000,1260,144,180,5040,140,80,80,96,144,
16,12,4,16,420,36,240,60,24,36,12,12,360,216,36,36,40,96,8,4,16,8,4,20,12,12,4
,4,12,12,840,60,48,72,24,5040,140,60,36,20,12,8,4,4,60,36,20,12,12,8,8,4,20,24
,4,36,4,8,12,12,12,12,60,4,48,4,8,4,4,4,4,12,12,12,24,24,12,24,12,20,12,4,4,12
,4,4,4,4,40,96,4,4,4,4,4,4,24,4,8,4,12,12,8,4,4,24,4,60,36,12,12,12,20,12,8,8,
8,4,12,8,12,12,4,12,4,4,4,4,8,4,4,4,4,4,4,4,4,12,4,4,4,4,4,12,4,4,12,4,8,24,12
,12,4,4,4,4,4,4,4,12,8,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4],[3603600,40320,
1680,63000,1260,144,180,5040,1400,40,560,96,192,4,420,36,5040,840,216,24,360,
24,36,108,40,48,64,4,420,36,12,12,8,12,8,840,60,48,72,24,5040,140,60,36,20,12,
8,4,4,60,36,20,12,12,44,8,4,4,60,16,72,12,28,24,8,60,4,12,4,24,12,8,4,4,4,840,
24,36,24,24,12,420,60,36,4,60,4,4,4,4,40,28,4,4,4,4,4,8,8,12,4,8,12,4,4,24,4,
60,36,12,12,12,20,12,8,8,8,4,12,8,24,8,12,12,4,4,4,4,12,4,4,4,8,12,4,4,4,4,4,4
,4,4,4,24,60,4,8,12,12,12,8,4,4,12,4,4,4,4,12,8,4,4,4,4,4,4,4,4,4,4,4,8,12,4,4
,4,4,4,4],[3603600,10080,960,240,113400,5040,288,10080,80,80,80,16,16,160,48,
16,600,24,48,48,80,80,8,8,8,8,5040,288,288,10080,600,80,48,8,600,48,8,8,8,8,8,
80,8,8,16,48,16,16,48,8,4,4,4,80,8,8,8,8,4,4,288,8,600,48,48,48,8,48,80,8,80,8
,8,4,4,16,4,4,8,8,4,8,4,48,80,8,8,8,8,8,4,4,4,8,4],[3603600,60480,3280,25200,
630,36,72,15120,6440,600,1680,336,108,980,36,3360,350,120,272,24,30,12,12,720,
112,40,54,4,600,880,192,108,980,200,36,36,36,200,36,210,24,12,18,6,140,8,2,360
,80,18,2,48,24,12,480,40,144,96,36,12,64,32,18,30,24,2,4,120,8,2,32,2,120,108,
200,36,36,36,36,210,24,18,4,6,2,4,30,14,8,8,12,12,8,2,6,18,4,140,40,12,8,4,2,
120,32,8,8,8,8,2,2,40,12,4,16,24,96,80,18,16,32,24,24,2,12,32,2,8,32,8,2,32,8,
2,8,8,6,36,8,2,2,2,30,14,6,8,6,12,4,6,4,4,2,18,2,18,18,2,4,6,6,6,4,4,6,2,2,12,
40,12,12,12,4,16,24,32,8,8,8,2,8,8,8,8,8,6,6,2,2,2,8,4,2,2,2,18,2,8,2,2,4,8,4,
2,2,6,6,6,6,6,2,4,4,6,2,6,2,6,2,2,2,2,2,2,2,2,2,2,12,8,6,2,2,2,2,2,8,4,4,4,2,2
,2,6,6,2,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2],[3603600,100800,2640
,75600,1890,72,5040,16800,200,2640,360,36,980,36,13440,1890,384,66,12,2400,48,
66,200,2640,360,36,980,200,36,36,36,200,36,1890,72,72,5040,120,6,120,384,6,6,
48,8,2400,384,32,48,48,6,66,8,6,120,8,2,32,2,360,36,200,36,36,36,36,1890,66,12
,12,390,6,72,12,66,980,120,36,8,2,120,32,8,8,8,8,2,2,200,8,48,8,32,384,6,48,48
,8,8,6,32,2,8,32,8,2,32,8,2,8,8,72,36,120,6,6,6,390,6,6,66,2,12,6,6,66,6,6,66,
2,6,6,2,2,36,200,36,8,48,8,32,8,8,8,2,8,8,8,8,8,72,12,12,120,8,2,2,2,6,6,32,2,
6,32,6,2,6,66,2,2,6,6,8,6,2,6,2,2,6,2,2,2,2,2,2,2,2,2,36,8,72,6,12,12,32,8,2,2
,6,2,6,2,8,8,8,2,2,2,2,2,2,2,6,6,12,2,2,2,8,2,6,2,2,2,2,2],[3603600,30240,480,
3280,75600,1890,72,5040,420,400,720,96,80,48,180,108,16,140,60,2800,210,70,456
,6,24,66,12,1080,64,70,18,6,4,120,32,24,24,24,36,16,8,36,140,60,12,12,8,8,12,8
,8,12,12,8,1890,72,72,5040,120,6,120,24,6,6,16,18,6,2,70,120,72,18,18,16,24,2,
2,6,6,6,6,6,18,16,6,4,6,8,2,8,2,6,12,8,12,4,4,8,4,4,12,8,4,210,24,66,12,12,70,
160,6,24,24,24,4,4,4,18,4,140,60,6,8,2,6,6,8,4,2,2,2,2,2,2,120,32,2,2,6,24,6,6
,6,6,6,2,2,2,2,12,8,6,18,8,2,6,2,2,2,2,6,4,2,2,2,6,4,2,2,2,72,4,120,6,6,6,70,6
,6,18,24,24,4,4,4,2,4,6,6,18,6,6,4,18,6,2,4,4,6,2,2,8,8,12,12,2,8,2,6,6,2,2,2,
2,2,2,4,2,2,2,2,2,2,24,24,12,4,4,6,8,2,2,2,6,6,8,2,6,6,24,2,2,6,6,18,6,6,2,2,4
,2,6,2,6,2,2,6,2,2,2,2,2,2,2,2,2,4,2,24,6,4,4,4,4,2,2,2,6,4,2,6,2,6,2,2,2,2,2,
2,2,2,2,2,2,6,6,4,2,2,2,2,2,6,2,2,2,2,2],[3603600,30240,1120,2640,25200,630,36
,72,15120,140,480,720,96,208,48,60,36,48,140,60,1680,350,30,216,38,30,12,12,12
,360,30,54,22,4,360,96,24,8,8,12,48,24,12,140,60,12,12,8,8,12,8,8,12,12,8,210,
24,12,18,6,140,8,2,360,8,18,2,6,6,10,30,72,72,6,6,8,18,10,6,22,6,6,18,30,2,4,6
,8,2,8,2,6,4,24,12,4,4,8,4,4,12,8,4,210,18,12,4,6,2,4,30,14,8,12,8,8,2,6,18,4,
140,12,8,2,4,2,6,6,8,4,2,2,2,2,2,2,8,12,2,6,2,72,2,2,6,2,18,6,6,10,6,4,2,6,8,2
,6,2,2,2,2,6,4,2,2,2,6,4,2,2,2,6,4,8,2,2,2,30,14,6,6,6,8,4,2,4,4,18,2,18,18,2,
4,6,6,6,4,6,2,2,4,8,12,4,4,2,6,2,6,2,2,2,2,2,2,4,2,2,2,2,2,2,6,6,2,2,2,2,4,2,2
,2,18,2,8,2,2,2,2,2,4,2,6,6,6,2,6,6,4,2,6,2,6,2,6,2,2,2,2,2,2,2,2,2,2,4,2,6,2,
2,2,2,2,2,2,2,2,4,2,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[
3603600,40320,960,2640,63000,945,36,45,5040,1260,160,560,192,112,48,220,84,16,
420,52,5040,875,160,45,296,9,15,31,3,9,12,360,216,15,9,45,3,3,40,64,24,24,48,
36,16,8,28,420,52,12,12,16,16,4,8,8,4,12,16,840,15,12,18,6,5040,60,9,3,60,9,3,
16,9,8,12,28,7,1,3,1,60,64,16,15,72,20,28,12,21,7,60,4,8,3,1,9,3,3,3,1,31,24,3
,1,3,3,3,3,60,3,4,3,1,16,3,1,1,12,8,4,4,4,8,4,4,12,16,4,840,15,24,3,4,6,2,3,32
,5,5,9,9,1,1,8,2,6,24,3,3,420,60,52,3,4,3,1,60,16,3,1,4,4,4,3,1,1,1,4,3,1,1,1,
40,64,4,1,4,4,1,3,16,4,8,8,4,16,8,4,9,3,3,3,1,3,1,1,1,4,3,12,3,7,1,16,3,1,4,1,
1,1,16,4,3,1,1,1,1,16,3,1,1,4,1,1,4,1,4,1,6,4,60,9,3,3,3,3,32,5,3,1,1,1,1,9,3,
8,1,4,1,3,2,3,1,24,3,3,1,1,3,3,1,1,1,3,1,1,8,1,3,3,3,3,1,1,8,16,12,4,1,8,4,4,4
,1,3,16,1,3,1,1,1,1,1,4,4,4,1,1,4,4,1,1,4,1,4,1,4,1,6,6,2,2,2,60,3,4,3,1,1,1,1
,3,1,16,3,1,1,3,3,16,3,1,1,3,1,3,3,1,1,1,1,1,8,1,1,1,1,3,4,1,3,3,1,1,3,1,1,3,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,1,6,3,2,2,2,2,16,3,1,1,4,1,1,1,1,1,1,3,1,
4,1,4,1,4,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,2,1,1,1,1,4,1,1,3,1,1,1,1,1,1,1],[
3603600,80640,480,880,75600,1890,72,5040,10080,160,720,32,80,16,16,840,72,16,
11760,1890,10,72,6,6,1560,64,10,6,6,4,120,720,32,8,16,8,840,120,24,24,16,120,
16,8,1890,72,72,5040,120,6,120,72,6,16,2,2,1560,10,72,24,2,2,2,6,2,2,6,6,120,
16,24,8,8,8,8,120,16,8,1890,6,10,300,6,72,4,4,6,4,840,120,120,24,16,120,32,2,2
,24,72,2,6,2,2,2,2,24,24,24,72,8,12,2,120,6,6,6,300,10,6,2,6,2,6,6,6,6,2,2,4,6
,8,120,8,2,24,72,4,120,4,6,2,6,24,6,24,2,2,6,2,2,6,6,2,2,2,2,6,6,2,8,72,6,4,4,
24,2,2,2,6,2,2,2,2,6,6,4,2,2,6,2,2,2],[3603600,30240,2160,75600,1890,72,5040,
1260,440,400,132,72,96,16,2240,210,60,192,24,6,1440,48,60,54,200,36,48,24,24,8
,12,8,16,12,8,1890,72,72,5040,120,6,120,144,6,16,8,6,120,60,32,80,6,6,24,8,6,6
,8,6,16,6,36,8,4,4,12,8,4,210,24,6,60,170,6,24,24,24,8,54,24,6,6,6,8,200,8,8,
32,6,8,8,8,6,6,6,6,72,4,12,2,120,6,6,6,10,60,6,2,6,24,2,6,6,6,6,24,2,2,6,36,12
,8,8,6,24,24,8,6,4,6,2,6,6,6,32,6,2,2,2,6,6,2,2,2,8,6,6,2,4,24,6,4,4,6,2,2,2,6
,2,2,8,2,6,6,4,2,2,6,2,2,2],[3603600,20160,160,2160,25200,630,36,72,140,200,
240,32,16,16,132,72,840,72,16,1680,210,150,120,2,24,6,120,96,30,42,10,4,8,8,8,
12,24,40,24,8,4,8,120,16,12,210,24,12,18,6,140,8,2,8,2,8,6,2,4,30,24,8,42,6,24
,8,2,2,2,2,6,8,2,120,4,24,4,12,8,4,8,4,12,210,24,6,30,2,12,12,12,6,2,2,6,6,4,
40,8,8,8,4,8,12,2,2,2,2,2,2,4,4,2,6,4,24,4,6,4,12,2,8,2,2,2,30,2,2,12,6,12,2,2
,6,2,6,2,2,2,6,4,12,4,2,4,6,6,2,8,4,2,2,2,2,4,2,2,4,2,6,2,6,6,2,2,2,2,2,2,2,4,
6,2,2,2,4,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[3603600,50400,960,880,25200,630,
36,72,6440,880,128,120,16,96,16,3360,210,80,36,6,12,480,16,40,42,12,4,880,120,
16,32,16,8,16,24,210,24,12,18,6,140,8,2,80,2,16,12,2,480,80,16,16,14,2,12,6,2,
6,4,6,120,24,8,16,8,210,6,12,30,12,2,8,12,6,6,6,2,6,4,8,2,2,2,4,40,12,4,16,80,
2,16,16,2,2,6,2,6,8,12,2,8,2,2,2,30,12,2,2,6,2,6,2,6,2,6,2,2,4,6,12,4,4,16,2,6
,6,2,2,4,2,2,2,2,2,8,4,2,2,6,2,6,6,2,2,2,4,2,2,2,4,6,2,2,2,2,2,6,2,2,2,2,4,2,2
,2,2,2,2,2,2,2,2],[3603600,36960,960,1520,37800,630,18,3360,160,240,128,80,48,
16,560,48,16,2800,210,160,20,120,12,10,4,720,152,20,6,30,12,2,240,16,16,80,32,
32,16,8,8,16,16,630,18,18,120,8,12,24,12,16,2,2,2,280,20,24,16,32,2,2,24,8,8,2
,2,12,4,2,12,2,20,12,8,6,6,12,20,2,16,8,8,16,8,210,10,4,20,70,12,30,6,4,2,2,10
,4,4,30,6,6,2,8,8,8,8,2,2,8,4,4,4,2,24,4,24,8,2,4,4,2,8,8,2,4,2,8,8,2,4,8,4,4,
18,8,210,2,2,20,20,12,12,4,2,2,4,2,6,2,12,2,2,4,2,2,16,2,2,2,4,2,2,2,4,2,4,6,2
,2,2,6,6,6,2,2,4,4,8,4,4,4,4,4,6,6,10,4,4,2,20,12,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,6,2,2,4,2,4,4,2,2,2,2,2,2,2,4,6,4,4,2,6,2,6,4,2,2,2,4,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,4,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[3603600,26880,
960,2640,37800,630,18,420,80,560,128,180,36,16,700,92,2240,210,160,336,12,46,4
,6,480,120,6,18,12,36,16,12,40,24,8,24,8,40,4,28,24,630,18,18,24,6,8,8,2,20,80
,16,32,36,36,8,2,2,12,4,14,12,2,6,10,40,2,8,20,28,4,2,2,8,4,4,4,12,12,4,210,46
,4,6,6,50,12,30,6,2,10,4,4,18,6,6,8,8,2,2,8,2,12,4,4,4,6,4,2,8,8,2,4,8,8,8,2,8
,8,4,2,4,4,4,4,18,4,210,14,12,12,8,12,4,2,6,2,2,2,6,14,4,2,10,6,6,2,2,2,2,2,4,
2,4,2,2,2,4,2,4,4,2,2,4,4,4,4,4,4,4,4,6,6,10,4,6,2,12,2,6,14,6,2,2,2,2,2,2,2,2
,2,2,2,2,4,2,4,2,2,4,2,2,2,2,2,4,6,4,4,2,6,2,6,2,4,2,2,4,2,2,2,2,6,2,2,2,2,2,2
,2,2,4,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[3603600,50400,160,1360,
25200,630,36,72,6440,120,880,32,16,16,144,36,420,36,3360,210,30,80,2,6,480,16,
70,42,10,4,4,880,8,8,8,120,12,60,24,12,4,4,12,8,210,24,12,18,6,140,8,2,80,2,16
,18,2,4,480,30,80,6,6,16,16,2,2,2,2,6,2,12,120,4,12,8,4,4,4,210,6,30,30,2,2,8,
12,6,2,2,2,6,4,4,40,8,12,4,2,16,2,80,2,2,2,2,16,16,2,6,4,6,4,210,6,8,2,2,2,30,
30,2,2,2,2,6,6,2,6,2,6,6,2,2,4,2,12,4,16,2,4,6,2,2,30,2,2,2,6,2,8,2,2,4,2,2,6,
2,6,6,2,2,2,2,4,2,2,2,4,6,2,2,2,2,2,2,6,2,2,2,4,2,2,2,2,2,2,2,2,2,2],[3603600,
30240,480,1360,75600,1890,72,5040,1260,240,400,32,80,16,108,36,16,420,36,2240,
210,10,96,6,6,1440,112,10,54,6,4,200,32,8,36,16,8,36,20,12,12,4,4,12,12,1890,
72,72,5040,120,6,120,144,6,16,24,2,2,120,10,32,32,24,8,2,2,2,6,2,2,6,6,8,48,36
,8,4,4,4,4,12,210,6,10,170,6,6,24,8,4,4,54,4,200,32,8,2,8,2,32,2,6,2,2,2,2,8,8
,8,8,72,4,210,6,120,6,6,6,10,10,6,2,6,2,2,2,6,6,6,24,2,2,2,2,4,36,8,8,2,12,24,
8,4,10,6,2,2,2,6,32,2,2,6,2,6,6,2,2,2,2,2,2,8,2,2,2,4,24,6,4,4,6,2,2,2,2,2,2,8
,2,6,4,2,2,2,6,2,2,2],[3603600,40320,1040,37800,630,18,5040,3360,200,400,8,12,
700,44,2800,210,20,72,6,840,104,20,18,42,2,120,240,4,280,80,8,8,4,40,16,12,630
,18,18,180,18,120,18,8,12,40,12,20,2,2,280,20,40,24,2,2,6,6,40,2,44,28,4,2,2,8
,4,40,4,4,12,4,210,6,20,70,18,6,4,2,2,6,42,18,18,2,40,8,2,2,24,12,4,24,24,6,2,
16,8,8,4,2,8,4,2,8,2,8,2,4,16,12,18,4,210,6,20,20,2,2,18,18,18,12,2,6,6,2,16,2
,2,2,4,6,6,6,10,2,2,2,4,2,4,4,2,12,8,2,4,4,4,8,4,4,18,6,6,4,2,20,2,6,6,6,2,2,2
,2,2,2,4,2,2,2,2,4,2,6,6,6,2,4,2,2,2,2,2,4,18,6,6,4,2,4,2,6,6,2,2,2,2,6,2,2,2,
2,2,2,2,2,6,4,2,2,2,6,6,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2],[3603600,30240,2160,
37800,630,18,5040,420,120,720,108,560,144,16,2240,210,288,42,6,600,72,18,30,
120,36,140,36,12,12,16,12,48,24,630,18,18,180,18,24,18,6,24,12,20,96,24,12,28,
6,18,6,10,20,20,8,6,6,36,20,2,8,4,12,12,12,8,4,210,42,6,6,50,18,6,2,6,30,18,18
,20,4,4,12,4,6,6,2,12,24,6,12,4,6,8,2,8,8,2,4,2,8,4,4,12,12,18,4,210,18,2,4,12
,2,2,18,18,18,6,18,6,10,6,6,2,2,6,6,6,6,2,2,6,6,6,2,12,4,2,4,4,4,4,4,4,18,6,6,
6,2,6,6,6,18,2,6,2,2,2,2,2,2,6,6,2,2,2,2,6,6,6,2,2,2,2,4,18,6,6,6,6,2,2,6,6,2,
2,2,2,6,6,2,2,2,2,2,2,2,6,6,2,2,2,2,2,2,6,6,2,2,2,2,6,2,2,2,2,2,2,2],[3603600,
36960,480,1680,37800,630,18,3360,200,240,32,48,16,72,36,140,140,2800,210,80,30
,144,6,6,10,2,720,120,30,6,30,6,240,8,12,40,48,24,8,4,8,8,12,8,8,630,18,18,120
,12,24,8,2,280,8,30,24,28,12,4,24,8,2,6,2,2,4,2,12,2,20,2,20,6,6,32,8,2,2,2,8,
4,4,12,8,4,4,210,6,10,2,30,70,6,30,6,6,6,4,10,2,2,30,6,6,8,8,8,12,4,24,4,24,2,
4,4,4,8,4,2,2,2,4,2,2,8,8,4,4,4,2,8,2,18,4,16,20,30,6,2,12,4,6,2,2,2,2,6,12,2,
4,2,16,2,2,4,2,2,4,4,6,2,2,2,2,2,6,6,6,2,2,4,4,4,4,8,4,2,4,4,6,6,6,10,2,4,4,4,
6,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,4,4,4,2,2,2,2,2,2,2,2,2,4,6,6,2,2,4,4,6,4,2,2,
2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2]
,[3603600,47040,960,1040,37800,630,18,3780,80,240,128,116,12,16,420,132,5040,
630,160,20,72,12,6,4,600,104,20,6,6,12,2,36,16,4,24,24,8,8,8,120,4,36,8,630,18
,18,8,24,12,8,2,2,2,540,20,24,32,2,2,36,12,8,2,2,12,6,2,60,20,6,6,24,24,6,4,8,
4,4,4,36,4,630,6,4,20,90,12,18,18,2,2,6,4,4,6,6,6,2,8,4,8,2,2,4,2,4,8,2,12,2,2
,24,12,6,24,2,4,12,4,12,4,18,4,16,90,20,12,18,6,2,4,2,2,2,6,2,2,2,2,2,6,2,2,2,
6,2,6,6,6,6,6,6,2,4,4,4,4,12,4,4,6,18,6,4,2,4,4,6,2,2,2,6,2,6,2,2,2,2,2,6,2,2,
2,2,6,6,6,2,4,18,4,6,2,4,6,2,6,6,2,2,2,2,2,2,2,2,2,2,6,2,4,2,6,2,6,6,2,2,2,2,2
,2,2,2,6,2,2,2,2,2,2,2],[3603600,30240,2160,75600,1890,72,5040,420,120,720,108
,560,144,16,2800,210,360,66,12,1080,18,120,36,140,36,12,12,16,12,48,24,1890,72
,72,5040,120,6,120,24,6,6,120,24,24,6,18,6,24,2,56,2,8,4,12,12,12,8,4,210,66,
12,12,160,24,4,18,140,36,8,2,8,4,2,2,120,24,6,12,6,8,2,12,2,4,2,72,4,210,18,2,
120,6,6,6,24,4,6,6,18,6,6,2,2,12,8,12,4,2,24,12,4,8,2,2,2,6,6,8,2,24,6,6,18,2,
6,2,2,2,2,2,4,24,6,4,4,6,6,4,2,2,2,2,2,2,6,2,2,4,2,6,2,2,2],[3603600,30240,
2160,25200,630,36,72,15120,140,360,720,36,560,144,16,1680,350,216,30,12,12,360
,54,360,12,140,36,12,12,16,36,48,8,210,24,12,18,6,140,8,2,360,8,18,2,72,72,8,
18,30,2,8,6,8,14,8,4,12,36,4,8,4,210,18,4,6,2,4,8,12,8,18,140,12,4,2,8,4,2,2,
12,72,18,4,2,8,2,4,6,4,2,6,4,210,18,2,8,2,2,2,4,4,18,2,18,18,2,2,2,12,4,4,4,2,
6,2,2,4,2,2,2,18,2,8,2,4,2,18,18,2,2,2,2,2,2,2,4,6,2,2,2,18,2,4,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2],[3603600,30240,2160,25200,630,36,72,5040,420,120,720,108,560,
144,16,1680,350,216,30,12,12,360,54,120,36,140,36,12,12,16,12,48,24,210,24,12,
18,6,30,9,6,120,24,6,6,72,24,24,6,30,6,8,6,8,14,8,4,12,12,12,8,4,210,18,4,6,2,
4,8,12,8,18,10,2,3,2,8,4,2,2,6,24,6,12,6,8,2,4,6,4,2,6,4,210,18,2,3,6,3,3,4,4,
6,6,18,6,6,2,2,2,2,6,4,2,6,2,2,1,2,1,1,6,6,1,1,3,3,6,18,2,6,2,2,2,2,2,2,6,3,2,
2,6,6,1,1,2,2,2,2,2,3,1,1,2,2,3,1,1,1],[3603600,50400,2480,37800,630,18,5040,
3780,440,720,332,120,80,16,5040,630,20,216,18,720,248,20,18,18,2,360,108,112,8
,24,8,4,8,16,4,8,630,18,18,180,18,18,8,72,12,44,2,2,540,20,72,72,2,2,108,36,18
,18,36,2,8,8,8,2,2,108,8,4,4,4,8,4,630,18,20,90,54,18,2,2,18,18,18,18,2,4,2,2,
8,4,36,4,72,18,36,36,36,2,8,2,4,2,2,2,8,4,4,18,4,12,2,90,20,54,18,2,18,18,18,
18,2,18,18,2,2,2,2,18,18,18,18,2,2,2,2,2,36,2,4,4,4,4,4,4,18,18,18,2,4,6,2,18,
2,2,2,2,18,18,18,2,2,2,2,2,18,18,2,2,2,2,4,18,18,18,18,2,2,18,18,2,2,2,2,18,2,
2,2,2,2,2,2,18,18,18,2,2,2,2,2,2,2,2,2,2,18,2,2,2,2,2,2,2],[3603600,40320,1440
,1200,37800,630,18,5040,3360,240,400,96,240,48,48,280,72,16,2800,210,240,30,96
,18,6,6,6,840,72,30,18,42,18,120,240,96,24,48,24,280,40,24,24,16,40,16,8,630,
18,18,180,18,120,18,12,40,12,6,6,280,24,30,40,36,60,12,24,6,6,6,18,6,6,6,6,6,6
,40,8,8,16,4,24,8,8,8,40,16,8,210,6,6,6,30,70,18,18,6,6,6,4,6,6,6,42,18,18,40,
8,8,4,8,24,12,6,24,24,12,24,24,12,6,6,6,6,6,6,6,16,4,4,8,8,8,4,4,18,8,12,2,20,
30,18,6,6,2,6,6,6,6,6,18,18,18,12,6,6,6,6,16,6,6,4,6,6,6,6,6,6,6,10,4,4,4,12,6
,8,4,8,4,4,4,4,18,6,6,6,6,4,4,6,2,6,6,2,2,2,2,6,6,6,6,6,6,6,2,4,4,2,6,6,6,6,6,
6,4,2,2,4,18,6,6,6,6,4,4,6,6,6,6,2,2,2,2,6,6,2,2,2,2,2,2,2,6,6,6,6,6,4,2,2,2,2
,2,2,2,2,2,6,2,2,2,2,2,2,2],[3603600,47040,480,1200,37800,630,18,3780,120,240,
32,48,16,108,840,56,16,5040,630,80,30,96,6,6,6,2,600,72,30,6,6,6,8,36,60,12,12
,4,120,16,8,4,40,8,630,18,18,24,2,540,8,30,24,12,12,4,36,12,2,6,2,2,6,2,60,2,
12,8,6,6,20,36,6,2,2,8,4,4,36,4,4,8,630,6,6,2,30,90,6,18,6,6,18,6,2,2,6,6,6,4,
2,12,8,24,4,2,2,2,12,6,2,12,12,4,4,8,12,2,12,4,4,2,18,4,210,2,2,90,30,6,2,18,6
,6,2,2,2,6,2,2,2,6,2,6,2,2,6,2,6,6,6,6,6,2,4,4,4,12,2,4,4,4,6,18,6,6,2,30,6,2,
2,2,2,6,2,2,2,6,2,6,2,6,2,2,2,2,6,6,2,2,4,18,6,2,2,6,6,2,6,6,2,6,2,2,2,2,2,2,2
,2,6,2,6,2,2,2,6,2,6,2,2,2,6,2,2,2,6,2,2,2,2,2,2,2],[3603600,5040,720,240,
50400,72,18,5040,48,48,40,8,6,6,96,18,48,8,8,12,4,6,18,6,5040,18,18,6,6,16,8,4
,4,6,6,6,6,48,6,8,6,4,2,2,18,6,6,6,6,8,6,6,6,2,2,2,2,4,2,6,2,2,2,6,2,2,2,2],[
3603600,77280,960,2160,37800,630,18,12600,2160,128,360,16,32,16,6720,630,160,
288,12,42,4,6,1320,72,6,42,12,2160,360,16,32,16,8,16,8,630,18,18,288,18,72,2,
1320,288,32,72,72,8,2,2,12,42,2,6,18,2,8,32,2,2,360,8,8,16,8,630,42,4,6,6,150,
12,18,18,6,6,4,4,42,6,6,2,2,8,72,288,8,2,72,72,18,2,2,32,2,8,2,8,8,18,8,4,2,
150,12,18,18,42,4,2,6,2,6,18,42,2,18,6,6,42,6,6,2,2,2,18,2,2,2,2,72,2,8,8,8,8,
6,18,6,4,6,6,4,2,2,18,2,2,2,42,18,18,2,6,2,2,2,2,2,2,18,2,2,2,8,18,4,6,2,4,6,6
,2,6,2,6,6,6,6,2,18,2,2,2,2,2,2,2,4,2,6,2,6,6,2,2,6,2,2,6,2,2,2,6,2,2,2,2,2,2,
2],[3603600,26880,480,3440,37800,630,18,420,280,560,96,48,48,236,120,280,24,16
,2240,210,80,50,360,6,6,46,2,6,480,152,50,6,18,6,2,24,24,24,36,40,40,24,8,4,8,
40,16,4,630,18,18,24,8,6,8,12,16,14,2,6,20,32,8,50,80,28,12,12,14,14,44,36,6,6
,6,6,4,14,20,2,2,6,10,2,40,8,24,16,4,12,4,8,4,8,4,12,210,6,46,2,6,6,50,50,6,30
,6,6,6,2,2,2,10,2,2,18,6,6,2,8,8,4,4,6,4,8,8,4,8,6,6,6,6,12,4,4,8,6,14,2,4,8,8
,8,4,8,4,8,4,4,18,4,4,2,50,6,6,12,8,14,6,12,2,2,2,2,2,2,2,2,2,6,2,2,6,2,14,4,2
,2,10,6,6,2,14,2,2,2,2,2,2,2,2,2,6,4,4,2,2,2,4,4,4,4,6,4,4,4,4,4,4,4,6,6,6,10,
2,6,2,2,4,2,2,6,2,2,2,2,14,2,2,2,2,2,2,2,2,2,2,6,6,2,2,2,4,4,2,6,2,2,4,2,2,4,6
,6,2,2,4,4,6,2,2,4,2,4,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2
,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[3603600,77280,480,2960,37800,630,18,12600
,200,2160,96,48,48,416,84,420,84,6720,630,80,50,312,6,6,42,2,6,1320,104,50,6,
42,6,2,2160,24,24,24,360,28,100,56,36,12,12,28,24,630,18,18,288,8,18,72,12,8,
14,2,6,1320,32,8,50,288,12,12,12,14,14,80,72,6,6,6,6,42,8,2,2,6,18,2,8,12,12,
360,12,28,24,12,12,12,630,6,42,2,6,6,50,150,6,18,6,6,18,6,2,2,6,2,2,42,6,6,2,8
,4,8,4,72,4,6,4,8,8,4,288,8,6,6,6,6,72,72,4,18,14,2,8,4,8,4,12,12,4,4,4,4,18,
12,210,14,150,50,6,6,18,18,14,6,42,2,2,2,2,2,2,2,2,2,6,6,18,2,42,2,2,18,6,6,2,
14,42,2,2,2,2,2,2,6,6,6,18,2,2,72,4,6,8,4,4,4,4,4,4,4,4,6,18,6,6,2,6,6,2,50,6,
6,6,14,18,2,14,6,42,14,2,2,2,2,2,2,2,18,18,6,6,6,2,18,6,2,2,4,18,6,2,2,6,6,2,6
,6,2,6,2,6,6,2,2,6,2,2,2,2,6,2,6,18,6,2,14,6,6,6,6,2,2,2,6,2,6,2,2,2,6,2,6,2,2
,6,2,2,2,2,2,2,2,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,2],[3603600,1680,240,2160,1260,
126,16,32,48,72,120,8,120,6,24,2,6,60,42,12,12,6,8,12,4,120,8,8,12,54,18,6,4,
12,12,8,2,2,6,4,2,4,8,4,12,4,2,6,2,6,6,2,6,18,6,4,2,30,18,4,6,2,2,2,2,2,2,2,6,
2,6,6,2,6,6,2,2,6,2,2,6,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2],[3603600,
1680,240,240,1260,126,16,48,120,8,6,2,60,42,12,12,120,8,8,8,4,54,18,4,2,12,6,4
,6,8,4,4,2,6,6,2,18,6,30,2,4,18,4,6,2,2,2,6,6,2,2,6,6,2,6,2,2,2,2,2,2,6,2,2,2,
2,2,6,2,2,2,2],[3459456,24192,133056,2016,24192,3136,16,2688,288,2016,2688,32,
24192,288,288,136,16,16,48,32,16,48,8,8,288,16,8,2688,32,8,8,16,8,8,48,8,8,8],
[3243240,31752,3240,2376,113400,31752,792,792,792,216,648,648,216,216,216,2520
,2520,1080,216,1080,216,792,648,216,216,792,216,216,216,216,216,216,216,216,
216,2520,216,72,216,72,22680,1080,72,72,72,216,216,72,72,72,216,72,72,792,216,
216,216,216,216,216,216,216,216,72,72,72,72,216,72,72,72,72,72,72,72,360,216,
72,72,72,216,72,72,72,72,72,72,72,72,216,216,216,72,72,72,72,72,72,72,72,72,72
,72,72,360,72,72,72,72,72,72,72,72,2520,216,72,72,72,72,72,72,72,72,216,72,72,
72,72,72,72,72,72,72,72],[3243240,92232,360,3144,113400,22680,15624,360,3144,
360,360,24,24,840,72,2520,72,2520,12600,120,360,1800,120,360,3144,24,24,24,24,
24,360,360,360,840,72,2520,360,72,72,72,24,24,24,360,72,24,24,2520,24,72,24,72
,22680,360,120,120,1800,120,120,120,360,120,120,840,72,360,360,24,24,24,360,72
,72,72,24,24,24,24,24,24,24,24,72,24,24,360,24,24,24,24,24,24,72,24,2520,72,
360,24,120,120,360,120,120,120,120,120,120,120,360,24,24,72,24,24,24,24,24,24,
24,24,24,24,72,24,24,24,72,24,120,360,24,24,72,120,120,120,120,2520,24,24,24,
24,24,24,120,72,24,24,360,24,24,72,24,24,24,24,72,24,24,24,24,24,24,24,24],[
3243240,58968,1080,2952,113400,27216,5040,360,672,1224,216,504,144,96,432,144,
24,1260,108,2520,7560,360,360,1080,216,672,360,144,72,96,96,72,360,216,72,216,
144,24,24,24,24,144,1260,60,108,36,36,36,36,12,36,12,60,12,36,36,36,12,2520,72
,48,72,48,22680,540,36,108,72,36,36,540,216,144,72,144,108,36,36,108,36,36,360
,144,72,96,72,72,24,24,24,60,36,36,36,12,12,12,12,12,12,12,12,36,36,12,12,12,
12,12,36,12,12,12,180,36,36,24,12,72,24,24,36,48,12,12,1260,108,240,72,36,36,
36,108,36,36,36,36,36,36,36,36,108,36,72,36,36,36,36,24,72,12,36,12,12,12,12,
12,12,12,12,36,12,12,12,12,24,12,36,12,12,12,12,180,24,12,36,60,36,12,36,36,12
,36,36,36,36,36,36,2520,12,12,12,12,12,12,12,36,36,12,12,12,180,36,72,48,12,12
,36,24,12,12,36,12,12,12,12,12,12,12,12,12,12],[3243240,15120,1560,3780,1260,
840,240,120,12,72,120,60,24,120,36,840,120,120,12,24,120,120,12,120,120,120,12
,12,1260,120,12,12,36,12,12,12,120,120,12,120,24,12,120,120,12,120,120,12,12,
12,12,12,12,12,12,120,12,12,12,12],[3243240,28728,1080,1512,113400,27216,360,
432,504,72,216,144,48,24,420,36,120,24,2520,2520,360,144,720,72,432,144,48,48,
360,72,24,24,24,24,120,60,24,24,24,12,12,12,36,12,24,24,2520,72,48,72,48,22680
,540,24,12,72,72,24,48,36,36,12,180,12,36,12,360,48,24,24,24,60,12,12,12,12,12
,24,24,24,24,12,12,12,12,12,36,24,12,72,24,24,36,48,12,12,240,72,12,36,36,12,
12,12,24,36,12,12,12,12,12,12,12,12,24,24,12,12,12,12,12,12,36,12,12,12,12,24,
12,12,12,12,12,12,180,24,12,60,12,12,12,12,12,12,12,12,2520,12,12,12,12,12,12,
12,12,12,12,72,48,12,12,36,24,12,12,12,12,12,12,12],[3243240,25704,360,744,
113400,22680,120,248,24,72,24,8,840,24,248,24,2520,2520,120,72,360,24,120,24,8
,8,24,248,120,24,24,24,8,24,8,8,8,2520,24,24,24,24,22680,8,24,24,8,24,360,8,8,
24,24,8,8,120,8,8,8,8,8,8,24,8,8,24,8,24,8,8,24,8,8,24,8,8,120,24,8,24,8,8,24,
8,8,8,8,8,8,8,24,8,8,8,8,24,8,8,8,8,8,8,8,8,120,8,8,8,8,8,8,8,2520,8,8,8,8,8,8
,8,24,24,8,8,8,24,8,8,8,8,8],[3243240,31752,360,2184,113400,22680,504,360,744,
72,168,24,24,216,72,48,32,2520,2520,120,216,1080,24,360,24,24,24,24,24,24,72,
24,72,72,72,32,8,8,16,16,16,2520,24,72,24,72,22680,144,24,24,72,24,72,48,16,48
,72,24,24,24,24,8,8,16,8,8,8,16,8,16,24,24,24,24,24,72,24,360,24,24,48,24,24,
24,16,8,8,8,24,8,8,8,8,24,24,24,24,24,16,8,8,72,24,16,24,8,8,8,8,2520,8,24,8,8
,24,8,8,24,72,8,8,24,24,16,24,8,8],[3243240,25704,360,2664,113400,22680,280,
248,216,72,24,40,192,96,144,8,8,2520,2520,120,360,360,216,120,24,48,40,8,16,32
,24,32,144,16,24,8,8,8,8,8,8,8,8,24,16,8,8,2520,24,24,24,24,22680,48,8,24,16,
24,24,72,24,48,16,48,16,24,8,8,8,16,8,8,24,8,8,8,8,8,8,8,16,8,8,8,8,8,8,48,8,
24,8,8,24,8,8,144,8,120,24,8,24,16,8,8,8,16,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16
,8,8,8,8,8,8,8,16,24,8,8,8,8,8,8,8,8,8,2520,8,8,8,8,8,8,8,8,48,24,24,8,8,8,16,
8,8,8,8,8,8,8],[3243240,55944,360,2184,113400,22680,5040,200,648,168,168,24,24
,240,48,1344,144,2520,7560,120,288,720,168,120,360,24,24,24,8,8,72,40,72,48,16
,1260,100,108,20,36,12,12,20,12,4,64,8,24,24,24,16,2520,24,24,24,24,22680,36,
60,24,12,8,540,72,48,56,72,24,8,60,20,12,8,24,24,8,8,24,12,8,4,60,12,4,4,4,4,
12,12,4,12,4,4,12,4,4,4,12,12,8,4,8,12,4,180,36,8,24,8,8,24,4,4,1260,108,8,4,8
,4,120,24,12,4,12,8,4,4,36,36,12,24,20,12,4,4,8,4,8,4,24,4,4,4,4,4,4,4,4,8,4,
12,4,4,4,8,12,12,12,4,4,4,4,4,4,4,8,60,12,12,12,12,4,12,4,12,8,4,4,4,4,4,4,4,4
,2520,4,4,4,4,4,4,4,4,4,12,4,4,180,36,24,24,4,4,8,12,12,12,4,4,4,4,4,4,4,4,4,4
],[3243240,31752,1800,2280,113400,22680,504,24,376,744,72,264,216,56,72,216,72
,56,8,8,2520,2520,600,216,1080,120,360,24,120,24,24,40,24,8,24,24,40,24,72,24,
72,72,24,40,8,24,72,8,8,8,8,8,8,8,8,8,8,8,8,2520,120,72,120,72,22680,144,24,24
,16,120,72,24,72,48,16,48,24,8,8,72,24,24,16,8,24,24,24,24,16,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,24,24,24,16,120,24,24,72,16,16,24,24,8,8,8,8,360,120,
24,8,16,48,24,24,24,8,8,8,24,8,8,8,8,8,8,24,8,8,8,8,8,8,8,8,24,8,24,8,8,8,16,
24,24,24,24,8,8,8,8,8,8,8,8,72,24,24,16,24,8,8,8,8,8,8,8,8,8,2520,8,24,8,8,8,8
,8,8,8,8,24,8,8,8,8,120,72,8,8,24,24,24,16,8,24,8,8,8,8],[3243240,34776,1080,
2952,113400,27216,504,360,672,1000,120,312,144,64,216,72,24,84,36,2520,2520,
360,288,1440,72,672,24,144,24,64,64,24,360,72,24,120,72,24,24,24,24,72,84,4,36
,12,12,12,12,4,12,4,4,4,12,12,12,4,2520,72,96,72,96,22680,540,144,40,12,72,120
,40,96,36,36,12,48,8,24,360,72,24,64,24,24,24,24,24,4,12,12,12,4,4,4,4,4,4,4,4
,12,12,4,4,4,4,4,12,4,4,4,36,40,24,12,72,40,40,36,96,12,12,24,4,4,8,4,8,4,480,
72,24,12,36,36,12,12,12,48,40,24,24,24,4,8,4,8,4,4,4,24,24,4,12,4,4,4,4,4,4,4,
24,12,36,12,12,12,12,40,24,24,24,4,4,4,4,4,4,4,4,4,4,4,4,180,72,40,12,24,12,12
,8,4,4,4,4,4,4,4,4,2520,4,24,12,4,4,4,4,4,4,4,4,4,24,12,4,12,4,4,72,96,4,4,36,
40,24,12,4,24,12,4,4,4,4],[3243240,25704,3240,936,113400,22680,96,136,248,24,
264,312,40,288,128,8,8,2520,2520,1080,72,360,216,84,120,216,8,24,8,24,24,112,
24,24,84,96,40,8,24,84,8,4,8,8,8,8,4,4,4,4,4,4,8,8,4,4,4,2520,216,24,216,24,
22680,96,8,16,216,24,8,24,48,16,96,8,8,84,96,24,16,8,8,16,8,84,4,4,4,4,4,4,8,4
,4,4,4,8,4,4,4,4,8,4,4,4,4,8,4,4,4,96,8,16,216,8,8,24,16,16,96,8,8,4,4,8,120,
216,84,8,16,8,84,96,8,8,8,8,4,8,4,8,4,4,4,84,8,4,8,4,4,4,4,4,4,4,84,8,96,8,8,8
,84,16,8,4,4,8,4,8,4,8,4,4,4,8,96,8,16,84,8,8,8,4,4,4,4,4,4,4,4,2520,4,84,8,4,
4,4,4,4,8,4,4,4,84,8,4,8,4,4,216,24,4,4,96,8,16,8,84,8,4,8,4,4],[3243240,25704
,1800,840,113400,22680,24,136,248,24,168,216,40,72,56,168,72,2520,2520,600,72,
360,120,120,120,8,24,8,24,24,40,24,24,24,40,8,24,8,8,24,24,24,8,2520,120,24,
120,24,22680,24,8,16,120,24,8,24,48,16,24,16,48,24,24,16,8,8,16,8,8,8,8,8,24,8
,8,8,24,8,16,120,8,8,24,16,16,24,8,8,120,120,8,16,8,24,8,8,8,16,8,8,8,8,8,8,8,
8,8,24,8,8,8,16,8,8,8,8,8,24,8,16,8,24,8,8,8,8,2520,8,8,8,8,8,8,8,8,8,120,24,8
,8,24,8,16,8,8,8,8],[3243240,28728,1080,1512,113400,27216,360,432,504,72,216,
144,48,24,84,36,8,8,2520,2520,360,144,720,72,432,144,48,48,360,72,24,24,24,24,
8,4,8,8,8,4,12,12,12,4,8,8,2520,72,48,72,48,22680,540,24,12,72,72,24,48,36,36,
12,8,8,24,8,360,48,24,24,24,4,4,4,4,4,12,8,8,8,8,4,4,4,36,24,12,72,24,24,36,48
,12,12,8,4,8,4,240,72,12,36,36,12,12,12,24,8,8,8,4,8,4,8,4,24,8,4,4,4,4,4,12,
36,12,12,12,12,24,8,4,8,4,8,8,4,4,180,24,12,12,12,8,4,4,8,4,4,4,2520,4,12,8,4,
4,4,4,4,12,8,4,4,72,48,4,4,36,24,12,8,4,12,8,4,4],[3243240,25704,1800,840,
113400,22680,24,136,248,24,168,216,40,72,56,16,16,2520,2520,600,72,360,120,120
,120,8,24,8,24,24,40,24,24,24,40,8,24,8,16,16,8,8,8,2520,120,24,120,24,22680,
24,8,16,120,24,8,24,48,16,24,16,16,24,24,16,8,8,16,8,4,4,4,4,16,8,8,8,24,8,16,
120,8,8,24,16,16,24,16,16,120,120,8,16,8,24,8,8,8,16,8,8,8,8,8,4,4,4,8,24,8,8,
8,16,8,8,8,16,8,24,8,16,8,16,4,4,8,4,2520,4,8,8,4,4,4,8,8,4,120,24,4,4,24,8,16
,16,8,8,4],[3243240,16632,1080,936,45360,9072,72,192,312,72,216,144,48,24,1260
,108,120,24,420,576,144,192,144,48,48,72,72,24,24,24,24,120,60,24,24,24,12,36,
36,36,12,24,24,420,36,12,36,12,4536,216,48,24,360,24,30,72,48,24,24,24,60,12,
12,12,12,36,24,24,24,24,12,12,12,90,6,18,6,12,12,12,12,36,12,12,12,12,12,12,12
,96,72,24,24,24,30,6,6,24,24,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,6,6,18,6,6,6,6,6,6,6,6,6,36,24,12,60,12,24,30,6,6,6,6,6,12,12,12,12,12,12,6
,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,6,6,6,6,6,6,12,6,6,6,6,6,6,12,6,6,6,6,6,6,6,
6,6,6,6],[3243240,16632,2520,1224,1512,9072,288,192,312,72,312,144,48,96,72,24
,420,72,72,72,252,192,144,48,48,72,72,84,96,24,24,24,72,36,24,24,12,12,12,36,
24,12,12,420,84,12,84,12,216,36,24,12,72,84,48,24,24,24,36,12,12,36,12,12,24,
12,12,12,12,12,12,48,12,12,84,12,12,12,12,12,12,48,12,12,36,12,24,12,12,12,12,
24,36,12,12,12,12,12,42,12,12,12,48,12,12,12,42,12,12,12,12,12,6,6,12,6,12,6,
12,6,6,6,12,36,12,6,6,12,12,42,12,12,12,12,12,6,6,6,6,6,6,6,6,12,6,6,6,36,12,
12,6,6,6,6,12,6,6,6,6,6,6,12,6,6,6,6,6,6,6],[3243240,34776,1080,2376,1512,9072
,1512,72,192,840,120,312,144,48,216,24,504,72,24,8,420,504,24,72,192,72,144,48
,48,72,72,24,120,72,24,24,24,24,504,24,72,24,24,24,24,8,24,8,8,8,24,24,8,8,8,
24,24,8,420,36,36,36,36,216,36,24,12,72,24,48,24,24,24,24,24,8,8,8,8,8,24,24,8
,8,8,8,8,24,24,8,8,8,8,8,8,8,12,12,20,12,12,36,20,20,12,36,12,12,12,12,4,4,4,4
,72,12,8,4,24,12,12,4,4,24,24,8,8,8,8,8,8,8,8,8,12,12,12,12,12,12,12,12,12,12,
12,12,20,12,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,36,4,8,6,6,4,8,12,12
,12,12,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,12,6,6,2,2,2,2
,12,4,4,4,4,4,4,4,4,4,4,4,6,2,2,4,2,2,6,2],[3243240,25704,1800,840,113400,
22680,24,120,248,24,168,120,8,72,24,16,16,2520,2520,600,72,360,120,120,120,8,8
,24,24,24,4,4,4,4,4,4,4,4,4,4,4,12,12,12,12,8,8,8,8,16,16,8,8,8,8,2520,120,24,
120,24,22680,24,8,120,24,8,24,24,16,16,24,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,16,8,8,8,8,8,8,12,12,24,8,120,8,8,24,24,16,16,4,4,4,120,120,8,24,4,4
,16,8,8,4,4,12,8,8,8,8,12,12,8,8,4,4,4,4,4,4,4,4,24,8,12,8,8,8,8,4,4,16,8,8,12
,4,4,4,4,4,24,8,12,16,4,4,8,8,4,4,4,4,4,4,2520,4,12,8,8,4,4,4,4,4,4,4,4,12,8,8
,4,4,4,120,24,4,4,24,8,16,12,8,8,4,4,4],[3243240,55944,360,1224,113400,22680,
5040,120,648,72,168,24,8,144,1260,60,8,24,2520,7560,120,144,720,72,120,360,24,
8,8,72,24,72,48,1260,60,36,12,12,12,12,4,8,60,24,8,8,4,4,12,12,12,16,16,2520,
24,24,24,24,22680,36,36,24,540,72,48,24,72,36,12,8,8,24,8,24,8,4,8,4,4,8,60,12
,12,4,4,4,4,4,8,16,8,8,4,4,180,12,8,8,24,8,8,24,8,8,1260,36,120,24,12,36,36,12
,24,12,12,8,8,8,4,8,4,8,4,8,4,4,4,4,8,4,8,12,12,4,8,4,4,4,8,8,8,8,8,60,12,4,12
,8,12,8,4,4,8,4,4,4,2520,4,8,4,4,4,8,4,4,180,12,24,24,4,4,8,8,12,12,4,4,8,8,4,
4,4],[3243240,25704,360,1704,113400,22680,200,248,120,72,24,24,96,48,84,132,16
,2520,2520,120,216,360,120,120,24,24,24,8,8,16,24,16,72,8,12,4,4,16,12,28,12,
12,20,8,8,2520,24,24,24,24,22680,24,8,12,8,24,24,40,24,24,8,24,8,12,16,24,24,8
,8,4,8,4,4,4,12,4,4,4,4,8,12,8,12,4,4,24,8,8,24,8,8,24,4,4,72,120,24,4,12,8,4,
4,8,8,4,4,8,8,4,4,4,4,4,4,4,4,12,4,4,4,4,8,8,8,4,4,4,4,4,4,4,4,8,8,12,4,8,4,12
,4,4,4,4,4,4,2520,4,4,4,4,4,4,4,4,24,24,24,4,4,8,8,8,4,4,4,4,4,4,4],[3243240,
16632,1560,1032,1512,504,168,48,264,24,152,96,32,72,56,24,8,420,24,72,24,168,
24,16,24,24,8,24,24,56,56,8,8,8,24,24,8,8,8,8,8,24,8,24,24,8,8,8,8,8,420,52,12
,52,12,504,24,8,12,56,8,8,24,24,8,8,8,8,8,8,8,8,8,8,8,24,8,8,8,8,8,8,8,8,28,4,
4,8,52,4,4,12,8,8,28,4,4,4,24,24,24,24,8,8,24,12,4,4,24,8,8,8,8,8,8,28,4,4,28,
4,4,4,28,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,4,4,4,8,28,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,24,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4
,4,4],[3243240,28728,1080,2472,113400,27216,360,512,504,168,216,144,64,96,48,
24,96,16,2520,2520,360,288,720,168,432,144,24,64,48,8,360,16,72,24,24,24,24,16
,96,16,16,16,8,8,8,16,8,16,16,8,8,2520,72,48,72,48,22680,540,24,24,12,20,72,72
,56,48,60,36,20,24,8,12,8,24,360,48,8,24,24,24,16,16,8,8,16,16,8,8,8,8,16,8,8,
8,8,8,24,8,36,24,12,72,24,24,36,48,12,12,72,8,8,4,4,240,72,12,4,36,36,12,20,12
,12,4,4,24,8,4,4,24,4,8,4,8,4,4,4,24,16,8,8,8,8,8,8,12,36,12,12,12,12,24,8,8,4
,4,4,4,180,24,12,8,12,4,8,12,4,8,4,4,4,4,4,4,4,4,2520,8,12,8,4,4,4,12,8,4,4,4,
4,24,72,48,4,4,36,24,12,8,8,4,4,12,8,4,4,4,4],[3243240,25704,1800,1800,113400,
22680,24,216,248,120,168,216,56,72,96,48,56,420,84,120,8,2520,2520,600,216,360
,216,120,120,24,24,24,8,8,24,24,40,24,16,24,24,40,8,24,16,72,8,24,8,16,16,8,8,
8,120,60,8,8,8,4,12,4,12,12,2520,120,24,120,24,22680,24,24,8,12,24,120,24,40,
24,24,48,24,24,8,24,12,180,4,12,12,24,24,16,8,8,8,16,8,60,12,4,8,4,8,4,4,12,16
,4,4,8,4,4,4,8,8,8,8,8,8,8,4,4,12,24,4,24,8,16,120,8,8,24,16,16,24,72,24,8,4,4
,120,120,8,4,12,8,16,4,4,8,8,24,8,8,8,4,4,8,4,12,4,4,12,8,4,4,4,8,8,8,4,4,8,4,
4,4,4,4,8,24,8,8,8,16,8,12,8,4,4,4,4,4,24,8,16,8,12,4,60,4,8,4,8,4,4,4,4,4,4,4
,4,2520,4,8,8,4,4,4,8,8,4,4,4,4,24,120,24,4,4,24,8,16,12,4,8,4,4,8,8,4,4,4,4],
[3243240,55944,1800,1320,113400,22680,5040,24,136,648,72,264,216,40,72,144,56,
1260,60,16,2520,7560,600,144,720,168,120,360,120,8,24,8,24,24,40,24,72,24,72,
48,24,40,8,24,1260,60,36,12,20,36,12,4,4,16,4,8,8,60,16,4,4,12,12,12,8,8,2520,
120,24,120,24,22680,36,24,36,24,16,540,168,48,24,72,48,16,36,12,24,8,24,24,24,
16,8,24,8,16,8,8,8,8,8,8,60,4,16,4,4,4,12,12,12,4,4,4,4,8,8,8,8,8,4,4,180,12,8
,24,8,16,120,8,8,24,16,16,24,1260,36,8,8,4,4,120,120,12,8,16,36,36,12,24,12,24
,8,8,8,12,8,4,8,4,24,4,4,4,8,8,8,4,4,8,4,4,4,4,4,8,24,8,8,8,16,8,12,12,4,8,4,4
,4,24,8,16,60,12,4,12,8,12,8,8,4,4,4,4,4,4,4,4,2520,4,8,8,4,4,4,8,8,4,4,4,4,
180,12,120,24,4,4,24,8,16,8,12,12,4,4,8,8,4,4,4,4],[3243240,31752,360,3144,
113400,22680,504,440,744,168,168,24,40,312,120,420,84,120,8,2520,2520,120,360,
1080,120,360,24,24,48,40,24,32,72,40,72,72,88,40,72,24,8,16,12,24,4,8,120,60,8
,8,8,4,12,4,12,12,2520,24,72,24,72,22680,144,24,24,12,8,24,72,56,72,24,8,24,56
,12,180,4,12,12,72,24,24,32,24,60,12,12,4,4,4,4,4,24,12,8,4,4,4,4,8,8,4,12,8,4
,4,8,8,4,4,12,24,4,24,24,24,24,24,72,24,72,4,24,8,4,360,24,24,4,12,8,4,4,48,24
,24,8,24,4,4,8,4,12,4,4,12,8,4,4,4,24,12,4,4,4,8,4,4,4,4,4,24,24,24,24,24,12,8
,4,4,4,4,4,72,24,8,12,4,60,4,24,4,8,4,4,4,4,4,4,4,4,2520,4,24,4,4,4,4,24,12,4,
4,4,4,24,24,72,4,4,24,24,12,4,8,4,4,24,4,4,4,4,4],[3243240,58968,1080,1992,
113400,27216,5040,360,432,904,120,312,144,48,144,24,1680,48,120,8,2520,7560,
360,216,1080,120,432,360,144,48,48,360,72,24,120,48,24,24,24,24,1680,120,48,16
,16,24,24,8,120,8,8,8,120,120,8,8,8,16,24,8,2520,72,48,72,48,22680,540,36,36,
40,12,540,120,96,40,96,36,36,12,36,12,180,4,12,12,360,24,48,24,24,24,120,120,8
,8,8,8,8,120,120,8,8,8,8,8,16,24,8,8,8,8,8,8,8,180,12,12,4,36,24,12,72,24,24,
36,48,12,12,1260,36,180,12,4,4,12,4,4,4,240,72,12,12,36,36,12,12,12,36,36,12,
40,12,12,12,12,4,4,12,4,4,12,12,12,4,4,4,4,24,120,8,8,8,8,8,8,8,8,8,12,36,12,
12,12,12,24,12,12,12,4,4,4,4,4,180,24,12,60,12,4,12,60,4,12,12,12,4,4,4,4,4,4,
12,4,4,4,4,4,2520,8,12,12,4,4,4,4,4,12,60,4,4,4,4,4,4,180,12,72,48,4,4,36,24,
12,12,4,12,12,4,4,12,12,4,4,4,4,4,4],[3243240,25704,360,744,113400,22680,120,
248,24,72,24,8,504,72,120,24,2520,2520,120,72,360,24,120,24,8,8,24,120,64,24,8
,8,8,16,16,24,16,8,8,2520,24,24,24,24,22680,8,24,24,8,24,180,20,36,36,8,60,4,4
,12,4,12,8,8,8,4,8,4,8,4,12,12,8,24,8,8,24,4,4,120,24,8,12,12,12,12,4,4,4,4,4,
4,4,4,4,8,4,4,4,4,4,8,12,12,4,4,4,4,4,4,4,4,8,60,12,12,4,4,4,4,4,4,4,2520,4,4,
4,4,4,4,4,4,24,24,4,4,8,12,12,4,4,4,4,4],[3243240,27216,600,1512,27216,504,312
,216,216,504,120,420,504,72,24,168,216,24,216,504,24,120,72,24,24,24,72,100,36
,504,24,24,12,216,24,24,72,24,24,72,24,36,52,36,4,36,20,4,504,24,24,24,24,24,
24,12,4,4,24,72,24,24,24,28,4,36,36,4,4,4,12,20,4,4,12,24,24,4,4,4,24,36,4,4,
12,4,4,12,4,24,4,4,4,4,4,4,4,4,12,4,4,4,24,4,4,4,4,4],[3243240,25704,360,744,
113400,22680,120,248,24,72,24,8,8,8,2520,2520,120,72,360,24,120,24,8,8,24,8,8,
8,8,8,8,4,4,2520,24,24,24,24,22680,8,24,24,8,24,8,8,8,8,8,8,8,4,4,4,4,4,4,8,24
,8,8,24,8,8,120,24,8,8,8,8,8,4,4,8,4,4,4,4,8,8,8,8,8,4,8,8,8,4,4,4,4,2520,4,8,
4,4,4,8,4,4,24,24,4,4,8,8,8,4,4],[3243240,55944,360,1224,113400,22680,5040,120
,648,72,168,24,8,144,1764,84,120,8,2520,7560,120,144,720,72,120,360,24,8,8,72,
24,72,48,1260,60,36,12,12,12,12,4,120,204,8,8,8,4,12,60,36,28,2520,24,24,24,24
,22680,36,36,24,540,72,48,24,72,36,12,180,12,12,36,24,8,60,12,4,4,4,4,60,12,12
,4,4,4,4,4,12,48,8,4,4,24,28,24,12,8,4,180,12,12,4,8,24,8,8,24,4,4,1260,36,120
,24,12,36,36,12,24,12,12,12,12,12,36,12,12,12,12,12,24,4,8,4,4,4,4,12,4,4,4,8,
12,12,12,4,4,4,4,4,4,4,4,4,8,60,12,4,12,60,4,12,12,12,12,12,12,12,12,2520,4,4,
4,4,4,4,4,4,12,4,12,4,180,12,24,24,4,4,8,12,4,12,12,4,4,4,4,4,4,4,4,4],[
3243240,9072,1440,1752,1512,504,168,168,24,96,96,48,48,16,72,24,32,420,72,24,
24,168,24,32,8,24,16,8,24,24,24,24,16,16,24,24,24,8,16,48,24,52,12,504,24,8,12
,8,8,8,8,8,24,24,8,16,24,28,4,4,8,16,8,12,4,12,8,16,4,4,24,24,8,8,24,24,24,12,
4,4,24,8,8,8,8,28,4,4,8,4,4,8,4,4,8,4,4,4,4,4,4,8,8,8,8,4,4,4,8,4,4,4,4,8,4,4,
4,4,4,24,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4],[3243240,37800,1512,1320,11340,
5040,120,80,840,72,168,96,32,192,24,96,40,8,10,1260,252,36,180,60,840,16,40,72
,72,72,192,24,8,8,8,32,48,40,16,8,8,8,8,40,8,8,8,8,16,16,10,2,2,36,12,12,12,8,
180,60,12,12,36,24,8,12,12,12,8,4,24,4,10,192,72,72,8,16,16,8,8,40,16,8,8,8,8,
8,8,8,8,16,8,8,2,8,8,4,4,4,4,12,12,4,8,36,12,12,12,12,12,12,4,4,4,12,12,8,4,4,
8,4,4,4,24,4,4,4,4,4,4,2,10,2,72,16,8,8,8,8,8,8,8,12,12,12,12,12,4,8,4,4,4,4,4
,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,8,2,12,4,4,4,4,4,4,4,4,4,4,2,2,2,4,2,2,2,
2,2,2],[3243240,22680,1800,1080,113400,22680,24,120,120,16,72,72,12,24,72,4,4,
2520,2520,600,144,216,120,4,24,24,72,4,4,4,4,4,2,4,2,4,4,4,2,2,2520,120,120,
22680,24,12,120,8,24,24,4,4,4,24,2,4,2,4,4,4,4,2,2,2,2,2,2,2,24,24,120,24,4,4,
72,2,4,120,4,24,4,2,4,4,2,2,2,4,2,2,2,2,2,2,24,4,4,4,4,4,2,24,4,4,4,2,2,2,2,2,
2,2520,2,4,2,2,2,4,2,2,24,120,2,2,24,4,4,4,2,2,2],[3243240,27216,1920,216,1512
,9072,1512,72,72,120,192,32,504,24,32,420,504,72,24,72,72,72,16,16,504,24,24,8
,16,24,8,24,24,16,16,8,64,36,36,216,36,24,12,72,24,24,16,24,24,16,16,8,8,8,12,
12,20,12,12,16,16,16,4,4,72,12,12,4,4,12,4,8,24,16,8,8,12,12,12,8,8,8,8,4,4,4,
4,4,4,4,4,12,8,36,4,6,6,4,8,12,4,4,8,8,8,4,4,4,4,4,12,12,4,2,2,2,6,8,4,4,4,4,4
,6,2,4,2,6,2,2],[3243240,9072,480,1944,1512,9072,288,72,72,48,32,72,8,72,72,16
,420,72,24,24,252,72,72,8,4,8,72,72,8,36,8,12,4,4,8,36,8,8,8,12,4,16,24,84,12,
216,36,8,12,72,36,8,8,4,36,8,4,8,4,8,4,8,4,4,12,48,12,12,8,8,4,4,8,4,12,36,8,4
,4,4,4,12,4,36,4,8,4,4,4,42,12,12,4,2,4,4,4,6,6,12,6,4,2,4,2,4,4,2,6,4,36,4,6,
6,4,4,12,6,4,4,2,4,4,4,2,6,2,4,2,2,2,36,4,4,2,6,2,2,2,4,6,2,2,2,2,4,6,2,2,6,2,
2,2],[3243240,72576,720,1848,113400,22680,9576,224,1320,144,72,24,240,48,8,
1932,84,8,2520,10080,240,216,1080,120,180,1320,48,12,12,36,180,8,4,28,1890,202
,54,18,38,30,18,6,6,8,6,4,180,8,4,12,28,12,12,2520,48,36,48,36,22680,144,24,24
,12,8,1080,96,24,144,12,12,12,48,24,8,8,12,12,180,18,6,4,12,6,4,4,4,2,4,180,6,
8,4,4,4,2,4,2,2,28,18,18,12,12,6,6,6,18,2,6,6,4,2,270,18,4,6,4,48,36,4,4,6,2,2
,1890,54,8,4,8,4,180,48,24,4,4,8,8,4,144,24,24,24,4,8,4,8,4,12,12,4,4,4,4,4,4,
2,2,18,2,2,6,4,6,2,2,2,2,2,4,6,36,12,4,4,2,6,2,2,2,2,2,18,4,180,12,18,6,4,4,24
,4,6,8,4,4,4,4,4,4,4,4,2520,2,4,2,6,2,2,2,2,4,2,18,2,2,6,2,4,270,18,48,36,2,2,
6,4,4,36,12,2,6,4,2,4,2,6,2,2,2,2,2],[3243240,45360,3000,113400,27216,2016,360
,600,1000,144,360,72,672,120,8,2520,5040,360,1080,120,600,360,72,120,72,672,
120,40,40,24,24,8,4,8,24,40,24,2520,60,60,22680,540,36,36,40,12,180,48,120,72,
60,44,12,8,12,12,360,72,36,8,4,8,4,4,24,24,24,8,4,40,24,12,12,24,12,4,4,90,30,
4,36,6,36,60,6,2,2,630,90,8,4,8,4,300,12,12,72,24,24,12,20,12,12,12,12,4,4,8,4
,8,4,4,4,8,4,4,24,12,4,4,4,4,36,6,12,4,6,10,2,2,2,2,2,180,18,12,30,18,4,12,12,
6,8,4,4,4,4,4,4,4,4,2520,4,4,2,6,6,2,2,2,4,2,18,6,2,2,6,4,90,30,60,2,2,36,6,4,
12,6,10,2,4,2,6,6,2,2,2,2],[3243240,42336,720,2328,113400,22680,2016,224,600,
144,144,72,24,312,48,8,1092,108,120,2520,5040,240,288,720,168,180,48,12,12,36,
72,84,8,4,28,630,22,90,38,18,18,30,18,6,12,8,6,120,100,4,12,36,12,12,2520,48,
36,48,36,22680,36,60,24,12,8,180,96,24,48,72,12,12,12,60,36,8,180,4,24,18,36,6
,4,60,12,6,4,4,4,2,12,6,8,4,4,2,4,2,2,18,10,12,12,12,6,6,12,6,18,2,6,12,6,2,90
,12,30,6,4,48,36,4,4,6,2,2,630,90,12,4,4,4,12,8,180,48,12,4,4,8,8,4,24,24,24,
12,12,4,8,4,24,4,8,4,4,4,6,4,4,2,2,2,6,6,4,2,2,2,2,6,2,4,6,12,12,12,4,2,6,2,2,
2,2,2,18,4,12,12,18,6,4,60,12,4,6,8,4,4,4,4,4,4,4,4,2520,2,4,2,6,2,2,2,2,6,4,6
,2,6,2,2,4,90,30,48,36,2,2,6,4,12,12,12,2,6,4,2,4,2,6,2,2,2,2,2],[3243240,
75600,2520,113400,27216,9576,360,600,1720,288,72,2352,72,120,2520,10080,288,
1440,72,600,1320,360,216,72,2352,280,72,48,48,120,24,12,120,280,24,48,2520,60,
60,22680,540,144,40,12,1080,192,72,48,32,12,180,4,24,360,180,72,120,120,12,12,
12,120,280,12,24,24,24,36,48,36,24,36,12,12,270,12,18,36,6,36,60,6,2,2,1890,54
,180,24,4,4,4,4,300,24,12,72,144,24,32,12,12,24,4,24,4,24,4,4,4,120,12,12,24,
36,12,12,12,12,36,6,12,36,6,10,2,2,2,2,2,180,18,180,30,18,60,24,12,6,24,4,4,4,
4,4,4,4,4,2520,12,12,2,6,6,2,2,2,60,6,18,18,6,6,6,4,270,18,60,2,6,36,6,12,36,6
,10,2,12,2,6,6,2,2,2,2],[3243240,30240,720,2520,945,4536,756,360,600,48,80,120
,40,180,72,24,1932,84,120,2520,315,135,27,15,45,45,9,180,48,20,12,12,24,48,24,
12,36,42,90,30,42,6,22,34,14,6,12,8,10,120,180,4,24,36,4,4,2520,60,60,630,27,9
,9,5,3,45,27,9,9,3,15,9,5,5,9,15,3,9,1,3,3,18,12,6,12,60,12,6,4,4,4,2,12,6,8,8
,8,6,4,2,2,6,18,4,12,4,10,2,8,18,18,2,2,12,6,2,270,12,18,36,6,36,60,6,2,2,90,
18,9,3,3,1,1,1,1,1,30,3,3,9,3,5,3,9,9,3,3,3,3,9,3,3,1,1,3,1,3,1,3,1,3,1,1,1,6,
4,4,2,6,2,6,2,4,2,2,2,2,6,2,36,6,12,36,6,10,2,2,2,2,2,18,6,10,18,6,6,3,3,2,3,3
,1,1,1,1,1,1,1,1,1,1,1,315,2,12,2,6,6,2,2,2,6,2,6,6,2,2,2,1,45,9,15,2,2,9,3,3,
9,5,3,1,3,1,3,3,1,1,1,1],[3243240,13608,360,552,45360,4536,72,184,24,72,24,8,
672,144,24,24,420,432,48,72,24,8,8,24,24,32,24,8,8,8,24,24,24,16,8,8,420,12,8,
12,8,4536,16,72,24,48,30,8,12,4,4,12,4,12,8,8,8,4,8,12,8,4,30,18,4,6,4,2,12,4,
4,6,8,2,2,4,2,4,2,72,24,8,8,8,30,2,2,4,8,4,4,4,4,4,2,6,2,2,2,2,4,2,6,6,4,4,4,2
,2,2,4,2,4,2,4,4,2,2,8,12,12,12,8,4,6,6,2,2,2,4,2,4,2,4,2,2,2,2,2,2,4,2,2,2,2,
2,4,4,4,4,6,2,2,2,2,2,2,2,2,4,2,2,2,4,4,2,2,2,2,2,2,2,2,2,2],[3243240,13608,
360,552,45360,4536,72,184,24,72,24,8,1512,72,184,24,420,432,48,72,24,8,8,24,
184,72,24,24,24,24,24,8,8,8,420,12,8,12,8,4536,16,432,16,16,30,8,72,8,8,8,8,8,
8,24,8,24,24,8,90,8,6,4,6,4,2,12,4,4,6,8,2,2,4,2,4,2,72,24,16,16,30,2,2,8,24,8
,8,8,2,6,2,2,2,2,4,8,6,6,2,4,4,4,2,2,2,4,2,4,2,4,4,2,2,8,72,8,8,16,30,2,6,2,2,
2,2,8,2,6,2,2,2,4,2,2,2,2,2,2,2,4,2,2,2,2,4,8,8,6,2,2,2,2,2,2,2,2,4,2,2,2,8,6,
2,2,2,2,2,2,2,2,2,2,2],[3243240,31752,360,1992,45360,4536,1512,72,712,72,168,
24,8,216,1932,108,120,8,420,2016,144,432,48,72,72,24,8,8,72,24,72,72,252,12,36
,12,12,12,12,4,120,332,8,8,8,4,12,84,36,28,420,12,32,12,32,4536,16,72,48,24,8,
360,8,48,30,24,8,60,12,4,4,4,4,12,12,12,4,4,4,4,4,12,72,8,4,4,24,28,24,12,8,4,
120,6,12,2,6,12,12,2,12,12,12,6,32,2,2,12,2,2,252,36,72,24,8,48,8,8,8,30,2,6,6
,2,24,4,8,4,4,4,4,12,4,4,4,12,2,6,2,2,2,2,12,12,12,12,6,32,12,12,2,2,2,2,2,12,
2,2,2,2,2,2,2,2,2,2,2,2,8,12,12,4,12,60,4,12,8,30,2,6,6,6,2,2,2,2,4,12,2,6,2,2
,2,2,2,2,2,2,2,2,2,12,12,12,2,2,2,2,2,2,2,2,2,2,2,4,4,12,4,4,6,2,2,2,2,6,2,2,2
,2,12,2,2,2,2,2,2,2,2,2,2,4,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[3243240,25704,
840,1608,378,13608,504,216,552,72,200,72,24,72,1092,132,120,8,420,126,18,18,6,
6,18,6,216,24,72,24,24,24,8,72,24,252,12,36,12,12,12,12,4,120,132,8,8,8,12,36,
60,44,20,420,28,24,28,24,126,2,6,6,6,2,2,6,18,2,6,6,3,8,24,60,12,4,4,4,4,12,12
,12,4,4,4,4,4,36,24,8,12,12,8,20,24,12,8,4,60,6,16,2,18,12,4,6,28,12,12,18,24,
6,6,4,2,2,126,6,6,6,6,6,6,2,6,2,6,2,2,2,3,1,3,1,3,1,1,8,12,8,4,4,4,4,12,4,4,4,
4,6,18,6,6,6,6,12,4,4,4,6,12,16,8,2,2,2,6,6,8,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,2,
2,2,6,6,2,6,2,2,3,1,1,3,1,3,1,1,1,1,1,1,4,4,6,6,2,2,2,2,2,2,2,2,2,2,6,4,4,8,6,
2,6,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,1,1,1,1,1,1,1,3,1,1,1,1,1,1,4,6,2,2,2,2,2,2,
2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[3243240,27216,600,1512,
9072,1512,360,168,120,504,120,420,504,72,24,336,72,72,120,504,24,120,96,72,72,
24,96,100,36,216,36,24,12,72,24,24,48,72,24,96,72,12,60,20,12,28,20,4,72,12,36
,12,12,4,4,72,48,24,24,24,56,12,12,20,12,12,4,16,20,4,4,16,36,12,6,6,4,24,12,
12,4,16,4,4,8,12,36,12,12,2,2,6,2,12,8,4,4,4,12,6,2,4,6,2,2,2],[3243240,22680,
360,984,113400,22680,24,24,16,72,12,72,12,12,2520,2520,120,144,120,24,4,72,2,4
,2,12,12,12,12,12,4,12,2,2,2520,24,24,22680,12,24,8,24,4,12,12,2,4,2,12,12,12,
2,2,2,2,2,2,2,24,24,12,12,72,2,24,4,2,12,2,12,12,2,2,12,2,2,2,2,2,2,12,4,12,12
,2,4,12,12,2,2,2,2,2,2,2520,2,12,2,2,12,2,2,2,24,24,2,2,4,12,12,2,2,2],[
3243240,16632,1560,1032,1512,9072,144,192,312,72,248,144,48,48,24,8,420,24,72,
24,84,192,144,48,48,72,72,28,48,24,24,24,24,12,8,8,4,4,4,12,8,4,4,420,52,12,52
,12,216,36,8,12,72,28,48,24,24,24,12,4,4,12,4,4,8,4,4,4,4,4,12,24,12,12,52,12,
12,12,12,12,12,24,4,4,12,24,4,12,12,4,4,24,12,4,4,4,4,4,14,12,12,12,24,12,12,
12,14,12,12,12,12,12,2,2,4,2,4,2,4,2,2,2,4,4,36,6,6,4,4,14,12,12,12,12,12,2,2,
2,2,2,2,2,2,4,2,2,2,12,4,12,6,2,6,2,12,2,2,2,2,2,2,4,6,2,2,6,2,2,2],[3243240,
16632,1080,936,45360,9072,72,192,312,72,216,144,48,24,420,36,40,8,420,576,144,
192,144,48,48,72,72,24,24,24,24,40,20,8,8,8,4,12,12,12,4,8,8,420,36,12,36,12,
4536,216,48,24,48,16,30,72,48,24,24,24,20,4,4,4,4,12,8,8,8,8,4,4,4,30,2,6,2,12
,12,12,12,36,12,12,12,12,12,12,12,96,72,24,16,8,30,6,6,24,8,4,4,4,4,4,12,12,12
,12,12,12,12,12,12,12,12,12,2,2,6,2,2,2,2,2,2,2,2,2,36,24,12,12,8,8,6,6,6,2,6,
6,4,12,12,12,12,12,2,2,2,2,2,2,2,2,2,2,2,2,2,12,8,4,6,6,6,6,2,2,12,2,2,2,2,2,2
,4,6,6,6,2,2,2,2,6,2,2,2],[3243240,34776,1080,2376,45360,9072,1512,72,192,840,
120,312,144,48,216,24,504,72,24,8,420,2016,144,576,144,192,72,144,48,48,72,72,
24,120,72,24,24,24,24,504,24,72,24,24,24,24,8,24,8,8,8,24,24,8,8,8,24,24,8,420
,36,36,36,36,4536,216,48,24,72,48,24,8,72,8,30,72,24,48,24,24,24,24,24,8,8,8,8
,8,24,24,8,8,8,8,8,24,24,8,8,8,8,8,8,8,12,12,20,12,12,36,20,20,12,36,12,12,12,
12,4,4,4,4,252,36,72,8,8,8,96,72,24,8,8,30,6,6,6,6,24,24,8,8,8,8,8,8,8,8,8,12,
12,12,12,12,12,12,12,12,12,12,12,20,12,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4
,4,4,4,36,24,12,12,12,4,12,12,4,8,6,6,6,2,2,2,2,6,6,2,8,12,12,12,12,12,12,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,6,6,6,6,2,2,2,2,2,2,
2,2,12,4,4,4,4,4,4,4,4,4,4,4,6,6,6,2,2,2,2,2,2,2,4,6,2,2,2,2,2,2,2],[3243240,
31752,360,1992,45360,4536,1512,72,712,72,168,24,8,216,252,108,40,24,420,2016,
144,432,48,72,72,24,8,8,72,24,72,72,252,12,36,12,12,12,12,4,40,12,24,8,8,4,12,
12,12,12,16,16,420,12,32,12,32,4536,16,72,48,24,8,16,16,30,24,8,12,8,4,4,8,12,
12,12,4,4,4,4,4,8,16,8,8,4,4,2,12,6,6,12,12,2,12,12,12,6,32,2,2,12,2,2,252,36,
72,24,8,8,16,30,2,6,6,2,8,4,4,4,4,8,4,12,2,6,2,2,2,2,12,12,12,12,2,4,6,2,2,2,2
,4,4,2,2,2,2,2,2,2,2,2,2,2,2,8,12,12,4,12,8,8,8,4,6,2,6,2,2,2,2,4,12,2,4,2,2,2
,4,2,2,2,2,2,2,4,2,2,2,2,2,2,2,4,8,4,6,2,2,2,2,2,2,2,2,4,2,2,2,2,2,4,4,2,2,2,2
,2,2,2,2,2,2,2,2],[3243240,9072,1440,1752,1512,9072,144,72,72,48,32,72,24,72,
24,32,420,72,24,24,84,72,72,8,12,8,72,24,8,12,16,12,4,12,8,12,8,8,8,20,4,48,24
,52,12,216,36,8,12,72,12,8,8,12,12,8,4,8,12,8,4,8,4,4,12,24,12,12,8,8,12,4,16,
4,4,8,12,4,12,12,4,4,4,12,12,8,4,4,4,14,12,12,4,6,4,4,4,10,2,4,2,4,2,4,2,4,4,6
,6,8,36,4,6,6,4,4,12,2,4,4,6,4,4,4,6,2,2,4,2,2,2,12,4,12,2,6,2,2,6,4,2,2,2,2,2
,4,6,2,2,6,2,2,2],[3243240,15120,600,11340,1260,120,80,120,12,24,40,32,10,180,
60,120,40,12,8,40,4,40,4,16,12,2,36,12,12,12,8,16,24,4,10,12,4,4,8,40,4,12,2,
12,12,4,8,4,4,8,4,4,4,2,4,8,12,12,4,4,4,4,4,4,2,4,2,4,4,4,2,4,2,2,2,2],[
3243240,15120,600,11340,1260,120,80,120,12,24,200,10,180,60,120,40,12,8,40,4,
40,80,4,4,2,36,12,12,12,8,24,20,10,12,40,4,4,40,4,4,2,12,12,4,8,4,4,4,4,8,4,2,
4,40,4,12,4,4,4,4,4,4,2,4,2,4,4,4,2,4,2,2,2,2],[3203200,4480,78400,2800,208,
244,4480,160,52,16,2800,16,208,208,64,64,64,100,64,16,4,4,4480,160,52,16,160,
52,16,16,16,16,16,4,208,64,64,64,16,4,4,4,4,4,4,4,4,4,160,16,16,52,16,16,16,16
,16,16,16,16,16,16,16,16,4,4,16,4,4,64,4,4,4,4,4,4,16,16,16,16,16,16,16,16,4,4
,4,4,4,4,4,4,4,4,4,16,4,4,4,4,4,4,4],[3203200,40320,44800,1120,160,208,3360,
4480,560,960,48,1120,64,64,64,16,16,16,52,16,16,16,4,48,24,96,480,560,160,32,
16,8,48,64,16,16,16,16,16,4,4,4,16,4,4,4,4,12,80,24,32,8,16,8,16,16,4,4,4,4,4,
16,8,8,4,16,4,4,4],[3203200,640,44800,1120,160,208,32,16,4,16,4,1120,64,64,64,
16,16,16,52,16,16,16,4,8,2,2,2,4,16,4,4,4,4,4,4,64,16,16,16,16,16,4,4,4,16,4,4
,4,4,2,2,2,4,4,4,4,16,16,4,4,4,4,4,2,2,4,4,2,2,2,2],[3203200,3200,44800,1120,
52,100,144,80,448,28,96,34,20,128,80,14,1120,16,64,64,16,16,16,25,16,4,4,1,24,
32,10,16,96,16,16,16,16,17,16,32,32,80,16,16,16,8,8,4,4,7,7,4,2,8,4,64,16,16,
16,4,4,1,1,1,4,1,1,1,1,24,8,8,8,4,4,4,5,8,16,4,2,4,4,32,16,16,16,4,1,1,1,1,2,8
,4,4,4,1,1,1,2,1,1,1,16,4,1,1,1,1,1,2,8,4,4,2,1,1,16,4,4,1,2,1,2,1,1,1,1,1,4,2
,1,1,1,1,1],[3088800,1440,1440,1440,108,720,96,48,36,12,36,540,720,48,48,18,12
,36,36,12,48,18,6,6,12,6,90,6,18,6],[3088800,2400,10800,2520,216,160,72,80,120
,96,24,12,48,120,120,80,12,12,72,40,4,16,12,8,8,24,12,4,24,12,120,6,6,40,8,4,4
,4,4,24,6,4,6,4,6,20,6,2,2],[3088800,1120,10800,2520,216,160,24,80,120,8,112,
40,4,120,80,4,4,72,40,4,16,24,4,8,8,4,12,8,4,120,6,6,40,8,4,4,4,4,8,2,2,4,6,4,
2,20,2,2,2],[3088800,4320,1440,480,10800,2520,216,160,96,32,80,16,240,240,120,
72,24,48,72,120,32,80,16,16,16,72,40,4,16,48,16,24,8,8,8,16,24,12,12,120,6,6,
40,8,4,8,8,16,8,8,8,4,12,8,2,8,8,6,4,4,4,2,4,20,4,2,2],[3088800,34560,1440,
10800,2520,216,30240,840,240,480,72,840,72,240,840,72,24,12,360,72,120,240,24,
840,72,24,24,24,72,840,180,24,18,360,24,24,24,8,24,8,24,8,24,4,24,12,120,6,6,
840,60,24,4,4,2,8,4,24,12,24,4,24,4,4,24,9,4,8,2,24,4,4,6,4,1,24,3,4,3,2,4,1,
60,4,3,1],[3088800,34560,1440,2610,108,30240,840,240,480,72,840,72,870,30,12,
90,120,240,24,840,72,24,24,24,36,840,180,27,6,18,6,6,30,2,2,6,8,24,4,12,120,6,
6,840,60,24,4,3,2,2,2,24,12,6,2,6,2,2,9,6,4,8,2,24,4,2,6,1,2,6,3,2,3,2,2,1,60,
4,3,1],[3088800,12960,480,1120,43200,630,216,4320,360,96,32,72,120,24,960,96,
64,70,54,6,4,15,32,24,120,24,8,8,8,72,4320,18,18,18,18,6,2,16,6,6,7,3,3,8,24,
12,4,15,3,3,120,24,32,2,2,6,6,6,2,2,2,1,3,3,3,1,1,1,18,4,7,3,1,3,3,1,1,8,2,3,1
,1,1,1,1,1,3,6,6,2,1,3,1,1,1,3,1,3,1,1,1,3,1,1,2,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1],[3088800,12960,1120,480,990,108,12960,120,96,96,24,120,24,120,24,30,
54,22,4,15,96,8,120,24,8,8,8,36,120,6,54,6,6,6,6,8,6,6,3,7,3,8,6,6,4,15,3,3,
120,8,8,2,6,2,6,6,2,2,2,3,1,1,3,3,1,1,6,2,3,7,1,3,3,1,1,8,2,1,3,1,1,1,1,1,3,6,
2,2,3,1,1,1,1,1,3,3,1,1,1,3,1,1,2,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[
3088800,4320,480,160,10800,2520,216,80,32,16,240,80,16,40,72,24,4,120,80,16,16
,72,20,2,8,8,16,8,8,16,12,8,4,120,6,6,20,4,4,2,8,8,8,2,4,8,2,4,8,10,6,2,2,2,2,
2,2,10,1,1,1,2,1,1],[2882880,60480,211680,5040,144,60480,1680,1680,13440,13440
,1680,720,1680,5040,144,144,13440,60480,1680,720,48,720,48,48,240,1680,240,48,
1680,1680,48,144,240,1680,720,48,48,13440,1680,48,48,48,240,48,1680,48],[
2882880,60480,201600,1764,72,144,60480,1680,1680,13440,13440,1680,36,1680,1680
,48,24,36,12,13440,60480,1680,36,12,36,12,12,24,1680,24,12,1680,1680,12,12,24,
1680,36,12,12,13440,1680,12,12,12,24,12,1680,12],[2882880,960,10080,144,144,16
,160,20,48,96,8,48,36,12,4,4,4,16,16,20,48,12,4,8,12,4,16,4,12,4,4,4,4,4,4],[
2882880,33600,120960,3528,144,20160,1680,560,2240,4480,960,48,72,560,3528,144,
144,2240,20160,480,24,480,96,24,24,160,32,8,80,8,160,16,72,48,48,80,560,32,8,
144,80,8,480,24,24,24,24,24,16,16,8,8,48,16,2240,8,8,32,8,8,8,24,16,80,80,8,8,
8,8,8,8,8],[2882880,20160,1920,120960,3528,144,20160,144,144,2240,2240,480,112
,24,480,192,24,144,3528,144,144,2240,20160,480,24,480,24,48,32,8,32,8,80,8,112
,24,24,80,48,8,16,24,48,144,32,8,32,8,144,80,8,480,24,24,24,16,8,24,8,8,8,16,
24,8,2240,16,8,32,8,8,8,8,8,24,8,48,80,8,8,8,16,8,8,8],[2882880,32256,2880,
120960,3528,144,20160,480,960,2240,3584,168,576,120,24,1920,24,480,3528,144,
144,2240,96,96,20160,480,24,480,24,192,96,24,24,80,8,168,120,24,24,320,48,8,24
,96,480,96,24,144,80,8,24,8,24,8,480,24,24,24,48,8,24,24,24,8,48,24,8,2240,24,
8,24,96,24,8,8,8,24,8,96,80,8,8,24,24,8,8,8],[2882880,32256,2880,20160,1008,72
,144,560,960,144,2240,1344,448,288,48,24,24,480,96,48,168,48,24,36,12,2240,96,
96,560,32,8,32,8,96,32,48,8,80,8,168,24,8,12,4,8,16,24,16,24,96,48,16,8,12,80,
8,24,8,24,8,32,8,8,8,8,8,8,24,8,8,12,4,4,280,24,8,8,16,8,8,8,8,8,4,24,16,4,8,8
,8,4,4,4],[2882880,20160,640,120960,3528,144,20160,48,48,2240,2240,40,96,24,
480,64,40,24,4,48,3528,144,144,2240,20160,480,24,480,24,12,12,16,12,12,80,8,24
,40,80,24,24,8,4,4,24,4,16,48,12,12,12,144,80,8,480,24,24,24,4,24,12,4,12,8,24
,8,4,2240,4,4,12,12,12,12,8,24,4,16,80,8,4,12,4,4,8,4],[2882880,60480,120960,
3528,144,20160,5040,1680,2240,11200,1680,1440,72,1680,3528,144,144,2240,20160,
480,24,480,144,24,720,240,48,80,8,1680,280,48,16,72,240,1680,240,240,48,144,80
,8,480,24,24,24,80,24,36,12,8,48,16,2240,40,12,240,48,12,12,8,24,8,240,80,8,4,
12,40,12,8,4],[2882880,20160,640,20160,1008,72,144,560,160,1680,2240,280,120,
32,24,480,64,40,24,4,80,168,48,24,36,12,2240,560,32,8,32,8,16,40,16,240,48,80,
8,24,8,8,16,12,4,2,6,24,4,240,80,16,16,8,12,80,8,32,8,8,8,8,8,4,4,12,8,6,4,2,
280,40,12,16,4,8,4,8,8,2,40,16,4,4,4,8,4,4,2],[2882880,20160,640,20160,1008,72
,144,560,64,48,2240,280,32,12,480,24,16,4,16,168,48,24,36,12,2240,560,32,8,32,
8,4,4,8,12,12,80,8,12,8,16,4,8,2,6,24,4,16,16,4,4,4,12,80,8,32,8,8,8,2,8,4,2,
12,8,6,4,2,280,4,4,4,4,4,4,8,8,2,8,16,4,4,4,2,2,4,2],[2882880,24192,960,120960
,3528,144,20160,160,320,2240,2464,144,16,1008,96,72,160,3528,144,144,2240,32,
32,20160,480,24,480,24,32,16,48,16,80,8,16,124,36,16,16,72,32,160,16,16,16,144
,80,8,8,4,4,8,480,24,24,24,8,24,4,12,8,16,16,2240,4,8,16,4,16,4,8,4,4,24,8,32,
80,8,4,4,4,8,8,4],[2882880,20160,960,64,120960,3528,144,20160,64,64,2240,2240,
320,4,12,8,480,64,4,24,12,4,64,3528,144,144,2240,64,64,20160,480,24,480,24,4,4
,64,4,4,80,8,8,4,80,12,8,4,4,8,8,24,4,64,64,4,4,4,144,80,8,4,4,4,4,480,24,24,
24,4,24,4,4,4,8,8,8,4,2240,4,4,4,4,4,4,8,4,4,24,4,64,80,8,4,4,4,4,8,4],[
2702700,56700,540,2700,75600,2520,11340,3780,180,540,1020,108,252,108,60,36,
324,108,36,1260,108,60,12,10080,2520,432,72,720,144,72,540,180,108,36,60,60,36
,180,36,36,36,36,108,36,108,108,36,36,36,36,108,1260,60,108,36,36,36,36,12,60,
36,12,12,12,12,12,12,60,60,12,12,12,12,36,36,36,12,12,12,2520,7560,360,60,720,
72,48,48,48,360,144,144,72,24,72,72,24,360,24,180,108,36,36,36,36,36,36,60,36,
36,36,36,36,60,60,12,12,12,12,12,12,12,60,60,36,36,36,12,12,12,12,12,12,12,12,
12,12,12,12,12,36,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,
12,12,12,2520,72,72,1260,360,108,60,24,12,360,24,24,24,24,120,72,24,12,48,48,
144,72,24,24,24,24,24,36,36,36,36,60,12,12,12,12,12,12,12,12,12,12,12,12,36,12
,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,360,72,72,72,120,24,
12,24,24,24,60,48,60,36,12,36,36,12,12,24,12,24,60,12,24,24,24,24,24,24,36,12,
12,12,12,12,12,12,12,12,12,360,24,72,24,60,12,24,24,60,12,12,12,12,36,12,12,12
,24,12,12,24,12,12,12,60,24,24,24,24,12,12,12,12,12,12,12,12,12,60,12,12,24,12
,12,12,12,12,12],[2702700,11340,1260,780,37800,1260,432,11340,360,180,180,36,
156,156,36,144,72,60,12,60,36,360,168,36,210,180,156,36,36,180,36,36,72,36,36,
42,72,36,36,36,42,60,30,12,12,12,12,6,6,6,6,6,30,12,12,6,6,6,144,3780,180,30,
108,36,18,360,36,96,24,24,12,12,24,180,42,72,36,36,36,36,36,36,36,36,42,30,6,6
,6,30,6,6,6,6,6,12,6,6,6,6,12,6,6,6,6,12,6,6,6,6,12,6,6,6,24,30,6,60,84,12,6,
84,24,24,12,24,12,12,42,36,36,36,30,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,36,
36,12,60,48,6,12,12,12,30,36,18,18,24,6,6,12,12,12,36,6,6,6,6,6,6,12,12,30,6,
42,12,12,6,6,6,12,12,6,6,12,6,12,12,18,6,6,6,6,6,6,12,6,6,6,6],[2702700,26460,
540,1260,37800,1260,432,11340,1260,180,300,460,60,156,108,44,36,108,36,36,420,
36,20,4,420,12,1080,72,36,300,60,108,12,44,44,12,180,36,36,36,36,36,12,60,36,
36,36,36,36,36,420,20,36,12,12,12,12,4,20,12,4,4,4,4,4,4,20,20,4,4,4,4,12,12,
12,4,4,4,144,3780,180,30,108,36,18,360,144,36,24,40,24,12,12,48,8,180,36,36,36
,36,36,36,12,44,12,12,36,36,36,20,20,4,4,4,4,4,4,4,20,20,12,12,12,4,4,4,4,4,4,
4,4,4,4,4,4,4,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,48,60,10,4,2,
180,36,12,6,24,24,24,12,48,8,8,8,8,36,12,36,36,20,4,4,4,4,4,4,4,4,4,4,4,4,12,4
,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,36,36,12,60,36,12,6,12,20,12,30,36,18,
18,24,2,4,2,4,12,4,8,8,8,8,36,4,4,4,4,4,4,4,4,4,4,12,4,12,10,2,12,12,12,4,2,6,
4,4,8,12,4,4,4,12,6,12,12,18,6,2,2,4,4,4,4,4,2,4,2,4,6,2],[2702700,68040,1380,
75600,2520,7560,8190,420,420,900,90,18,1470,90,180,11760,2520,120,72,1080,120,
420,180,900,180,90,18,1470,180,18,18,42,180,180,18,6,180,180,180,180,18,18,6,
2520,7560,360,60,360,72,1080,120,72,24,360,24,60,90,18,60,60,60,18,18,6,180,
180,180,6,6,6,18,18,18,18,180,6,18,6,6,6,6,6,2520,120,120,1470,360,18,60,60,
360,24,180,60,24,72,24,24,24,180,60,60,18,6,60,60,18,6,18,6,6,6,6,6,6,6,24,360
,120,120,60,18,60,180,18,6,60,60,6,24,60,18,6,6,6,6,6,360,12,24,24,60,60,60,60
,6,6,18,6,6,6,6,60,24,60,6,60,60,6,60,6,6,6],[2702700,22680,480,1620,630,54,
22680,210,540,540,540,8,54,18,24,210,54,28,210,18,6,6,54,6,540,540,8,4,18,12,
18,210,54,18,18,4,4,12,18,4,12,2,4,12,4,18,18,4,4,12,4,2,18,210,6,2,54,6,18,18
,2,2,2,6,540,18,2,4,2,4,2,2,2,12,18,18,18,4,2,18,4,2,2,4,12,4,4,4,18,2,2,2,2,2
,2,2,6,6,210,18,2,2,2,2,2,18,2,18,2,6,2,2,4,12,4,2,2,2,4,2,4,2,18,2,2,2,2,2,2,
2,2,2,6,2,2,18,2,2,2,18,18,2,2,2,2,4,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,18,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2],[2702700,22680,480,1620,630,54,22680,210,540,540,540,
8,54,18,24,210,54,28,210,18,6,6,54,6,540,540,8,4,18,12,18,210,54,18,18,4,4,12,
18,4,12,2,4,12,4,18,18,4,4,12,4,2,18,210,6,2,54,6,18,18,2,2,2,6,540,18,2,4,2,4
,2,2,2,12,18,18,18,4,2,18,4,2,2,4,12,4,4,4,18,2,2,2,2,2,2,2,6,6,210,18,2,2,2,2
,2,18,2,18,2,6,2,2,4,12,4,2,2,2,4,2,4,2,18,2,2,2,2,2,2,2,2,2,6,2,2,18,2,2,2,18
,18,2,2,2,2,4,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,18,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
],[2702700,7560,720,1620,630,54,210,180,180,60,56,48,8,24,54,18,32,630,42,28,
90,6,12,6,6,18,12,6,16,4,4,60,8,12,4,6,12,8,4,6,30,24,12,2,6,6,4,16,4,12,4,4,2
,2,12,12,60,4,4,6,6,12,4,12,4,2,18,210,6,2,6,2,18,2,6,4,6,2,2,6,2,2,4,60,6,4,2
,2,2,4,4,6,6,4,2,4,2,2,2,6,4,2,2,4,4,4,8,4,4,4,6,2,6,2,2,2,2,2,6,6,30,12,2,2,2
,2,2,2,12,6,2,6,2,2,2,6,4,4,2,2,2,4,4,4,2,2,2,2,2,2,6,2,2,2,2,2,6,2,2,2,2,2,4,
2,6,6,2,2,2,6,2,4,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,
2,2],[2702700,7560,720,1620,630,54,210,180,180,60,56,48,8,24,54,18,32,630,42,
28,90,6,12,6,6,18,12,6,16,4,4,60,8,12,4,6,12,8,4,6,30,24,12,2,6,6,16,4,4,12,4,
4,2,2,12,12,60,4,4,6,6,12,4,12,4,2,18,210,6,2,6,2,18,2,6,4,6,2,2,6,2,2,4,60,6,
4,2,2,2,4,4,6,6,4,2,4,2,2,2,6,4,2,2,4,4,4,8,4,4,4,6,2,6,2,2,2,2,2,6,6,30,12,2,
2,2,2,2,2,12,6,2,6,2,2,2,6,4,4,2,2,2,4,4,4,2,2,2,2,2,2,6,2,2,2,2,2,6,2,2,2,2,2
,4,2,6,6,2,2,2,6,2,4,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2
,2,2,2],[2702700,68040,480,900,75600,2520,7560,8190,60,180,900,96,90,18,8,1470
,90,60,8,11760,2520,72,24,1080,24,180,900,60,90,4,8,18,1470,180,18,18,18,24,60
,4,4,6,6,8,4,4,60,180,8,18,18,4,4,6,2520,7560,360,60,360,72,1080,72,24,24,360,
24,60,90,18,60,60,18,6,6,4,4,60,180,6,6,6,6,8,4,18,18,18,4,4,4,4,6,18,6,6,6,2,
2,2520,120,24,1470,360,18,60,4,360,24,180,4,24,72,24,24,24,4,60,6,6,4,4,6,4,4,
4,6,18,6,6,6,6,6,2,2,24,360,120,24,60,18,60,180,18,6,4,60,6,24,4,2,2,6,2,6,2,
360,8,24,24,60,4,4,60,6,6,18,6,6,6,2,60,24,4,6,60,4,6,4,6,6,2],[2702700,22680,
480,1620,75600,2520,7560,630,60,180,540,72,162,18,24,210,54,28,1680,216,24,24,
1080,24,180,60,24,36,54,4,18,210,54,18,18,12,4,4,6,4,12,2,12,12,4,6,18,12,12,4
,4,2,2520,7560,360,60,360,72,72,24,24,4,8,24,60,18,18,4,2,4,2,2,6,4,6,6,6,4,2,
18,12,6,6,12,4,4,4,4,6,6,2,2,2,2,2,24,120,24,210,54,8,4,4,8,4,180,4,24,12,24,4
,4,4,4,4,2,2,6,4,2,4,2,6,6,2,2,2,2,2,2,2,4,360,12,4,60,18,60,12,18,6,4,4,6,4,4
,2,2,2,2,2,2,8,2,24,24,4,4,4,4,2,6,6,2,2,6,2,60,4,4,2,4,4,6,4,2,2,2],[2702700,
22680,480,1620,75600,2520,7560,630,60,180,540,72,162,18,24,210,54,28,1680,216,
24,24,1080,24,180,60,24,36,54,4,18,210,54,18,18,12,4,4,6,4,12,2,12,12,4,6,18,
12,12,4,4,2,2520,7560,360,60,360,72,72,24,24,4,8,24,60,18,18,4,2,4,2,2,6,4,6,6
,6,4,2,18,12,6,6,12,4,4,4,4,6,6,2,2,2,2,2,24,120,24,210,54,8,4,4,8,4,180,4,24,
12,24,4,4,4,4,4,2,2,6,4,2,4,2,6,6,2,2,2,2,2,2,2,4,360,12,4,60,18,60,12,18,6,4,
4,6,4,4,2,2,2,2,2,2,8,2,24,24,4,4,4,4,2,6,6,2,2,6,2,60,4,4,2,4,4,6,4,2,2,2],[
2702700,11340,1260,780,75600,2520,11340,360,180,180,36,156,156,36,144,72,60,12
,60,36,720,144,60,72,36,210,180,156,36,36,180,36,36,72,36,36,42,72,36,36,36,42
,60,30,12,12,12,12,6,6,6,6,6,30,12,12,6,6,6,2520,7560,360,60,720,72,48,48,48,
12,12,12,12,180,42,72,36,36,36,36,36,36,36,36,42,30,6,6,6,30,6,6,6,6,6,12,6,6,
6,6,12,6,6,6,6,12,6,6,6,6,12,6,6,6,60,36,72,30,6,120,72,30,24,6,12,48,48,12,12
,42,36,36,36,30,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,360,72,12,12,120,24,12,
24,24,24,6,6,60,48,6,6,36,6,6,6,6,6,6,24,12,30,6,6,24,24,30,6,6,12,6,60,24,24,
12,6,6,6,6,30,6,12,6,6,12,6,6,6],[2702700,54180,660,1500,75600,2520,7560,3780,
420,320,460,36,116,120,40,108,28,1260,36,180,12,10080,2520,120,144,24,24,480,
48,120,24,24,420,80,180,24,8,24,180,36,12,36,36,28,28,12,12,12,1260,60,36,12,
12,180,12,12,4,180,12,12,12,12,12,180,12,180,60,180,12,12,12,12,12,4,12,12,
2520,7560,360,60,360,16,8,8,360,120,48,24,8,8,24,8,8,24,360,8,60,28,12,8,4,12,
4,60,60,60,4,4,4,4,4,4,4,180,60,180,12,12,12,12,12,12,12,4,4,4,4,4,12,12,12,12
,12,12,180,12,12,12,12,12,12,4,12,12,2520,24,120,24,24,1260,360,36,60,60,8,4,4
,360,8,8,8,80,24,60,8,4,4,8,8,8,8,4,180,12,12,12,60,60,4,4,4,4,4,4,4,4,60,60,4
,4,4,4,4,12,4,12,4,4,4,12,360,120,24,8,24,8,60,8,4,4,60,60,12,4,12,60,4,4,4,4,
4,8,60,4,8,60,4,4,4,4,4,12,4,4,4,4,360,8,8,8,60,60,4,4,4,60,4,60,4,4,4,4,4,4,4
,4,60,8,60,4,4,4,4,4,4,4,60,4,60,4,4,4,60,4,4,4,4,4],[2702700,54180,1140,1020,
75600,2520,7560,3780,60,80,460,36,84,248,8,72,108,52,1260,36,60,20,10080,2520,
144,48,24,480,48,24,48,80,180,24,8,8,60,24,24,24,36,12,36,36,8,4,52,4,4,12,
1260,60,36,12,12,12,12,4,60,12,12,8,8,4,4,20,8,8,12,12,8,60,60,20,4,4,12,12,4,
8,8,8,8,12,2520,7560,360,60,360,16,8,8,360,48,24,8,8,8,48,24,360,8,60,24,12,8,
4,4,4,4,60,60,4,4,4,4,4,8,4,60,60,20,4,4,4,4,12,12,4,4,4,4,4,8,8,8,8,8,8,4,4,4
,4,12,4,4,4,4,4,12,12,4,4,4,4,4,4,4,8,8,8,4,4,4,4,4,2520,24,48,24,1260,360,36,
60,8,8,4,360,8,8,8,80,24,8,8,4,8,8,8,8,4,12,4,4,4,4,4,8,60,8,4,4,4,4,4,4,4,8,8
,4,4,4,4,4,4,8,4,4,4,4,4,4,4,360,48,8,24,8,60,8,4,4,60,60,12,4,12,4,8,8,4,4,4,
60,4,8,8,4,4,4,4,4,4,4,4,4,4,360,8,8,8,60,8,4,4,8,60,4,4,4,4,4,4,4,4,60,8,8,4,
4,4,4,4,4,60,4,8,4,4,4,4,8,4,4,4],[2702700,8820,900,1980,75600,2520,7560,240,
200,100,60,52,40,48,36,72,36,56,72,60,20,60,288,36,48,480,48,60,24,36,210,80,
24,12,16,8,4,60,24,24,4,12,8,12,18,16,4,12,12,12,6,72,60,8,30,8,8,4,12,12,14,6
,6,4,10,10,12,12,8,30,8,8,4,4,12,8,8,12,14,6,10,2520,7560,360,60,360,16,8,4,4,
48,16,4,8,4,8,8,24,8,16,60,14,4,8,4,4,4,4,2,30,8,8,4,4,6,2,2,30,12,8,4,4,4,4,2
,4,8,4,4,4,4,4,6,2,2,8,6,4,2,10,2,6,6,6,6,2,4,6,6,2,2,4,4,4,4,4,4,8,8,4,8,4,4,
4,4,4,6,2,2,4,48,60,36,24,72,30,16,6,8,16,8,80,24,30,8,6,4,8,4,4,8,8,4,4,4,6,4
,4,2,2,2,4,30,6,2,2,8,4,4,2,2,4,4,4,4,4,4,4,4,2,2,4,2,4,2,4,4,2,2,4,2,2,360,8,
8,24,4,4,60,8,4,2,2,60,8,12,4,4,2,4,4,4,4,2,8,8,8,4,4,4,2,2,2,2,2,4,2,2,2,2,2,
16,4,8,30,6,8,4,30,6,8,4,4,2,2,4,4,2,60,8,4,4,4,4,2,2,4,4,2,2,8,30,6,4,2,2,4,4
,4,4,2,2,2],[2702700,18900,1700,1020,630,54,2100,180,120,300,20,68,144,16,168,
60,60,72,60,20,36,12,30,6,30,18,2,14,300,8,60,8,8,24,20,20,20,60,24,12,20,4,4,
36,24,24,60,12,12,8,8,12,4,4,20,4,8,8,12,12,8,60,20,4,4,4,12,8,8,8,8,8,12,18,
210,6,2,6,6,2,6,6,2,4,6,14,6,18,2,60,8,20,20,4,12,12,12,4,4,8,60,12,20,4,4,4,4
,4,4,4,8,8,8,8,8,8,8,4,4,4,4,12,4,4,4,4,4,12,12,4,4,4,4,4,4,4,8,8,8,4,4,4,4,4,
18,2,6,6,2,12,12,6,2,2,2,2,2,6,6,2,2,30,2,6,2,2,2,2,2,2,6,2,20,12,4,4,4,4,4,8,
12,4,4,4,8,8,4,4,4,4,4,4,8,4,4,4,4,8,4,4,6,6,2,2,2,2,2,2,6,2,2,4,6,2,2,2,2,2,2
,2,2,2,6,2,2,4,4,4,4,8,4,4,4,6,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,4,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[2702700,84420,180,2460,75600,2520,7560,
13860,60,320,2460,180,180,24,24,540,72,4,1680,72,60,4,13440,2520,288,24,1920,
48,24,320,2460,24,24,24,24,24,60,180,180,180,540,4,4,4,4,72,1680,320,72,72,72,
24,24,24,60,12,12,4,4,4,4,4,60,320,4,4,4,4,12,72,24,24,2520,7560,360,60,360,
288,48,8,1920,288,48,48,48,24,8,360,8,48,60,540,72,180,180,24,24,24,4,4,4,60,
60,12,12,12,4,4,4,4,4,4,4,4,60,320,12,12,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4
,72,72,72,24,24,24,24,24,24,24,24,12,72,4,4,4,24,24,12,12,4,4,2520,24,240,24,
1680,360,72,60,8,4,360,48,8,8,8,8,320,24,8,4,48,8,48,288,48,48,8,8,48,8,48,8,
48,8,8,8,180,4,24,60,12,12,4,4,4,4,4,4,4,4,4,4,4,24,4,4,4,12,72,4,4,4,4,4,4,4,
4,24,24,24,24,24,12,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,4,12,4,4,4,360,240,24,24,
24,60,72,24,4,60,320,24,24,72,12,4,4,8,60,4,48,8,12,48,8,8,8,8,8,8,8,8,4,24,4,
4,4,4,12,4,4,4,4,4,4,4,4,360,8,48,48,24,8,60,4,24,4,60,12,4,4,4,4,12,72,24,24,
4,4,4,4,12,4,12,4,12,4,4,8,4,60,48,8,8,8,8,24,4,4,4,4,12,4,4,4,4,4,4,60,4,4,12
,8,4,12,4,4,4,4],[2702700,34020,980,2460,630,54,22680,2100,540,720,1020,116,
276,168,72,204,72,36,840,96,60,4,210,90,42,18,18,6,30,54,14,2,720,300,168,24,
72,72,24,540,68,36,116,108,36,36,36,36,72,840,120,96,48,48,32,32,16,60,36,12,4
,4,4,12,4,60,120,4,4,4,12,36,48,32,16,18,210,6,2,54,6,6,6,6,30,18,6,18,6,18,14
,6,6,18,18,2,2,18,2,6,6,540,60,72,20,36,72,24,24,36,36,36,60,60,12,12,12,4,4,4
,4,4,4,4,4,60,120,12,36,36,36,4,4,4,4,12,12,12,12,12,4,4,12,4,4,12,12,24,48,24
,32,16,16,16,16,8,8,16,36,24,4,12,12,8,16,12,12,4,4,18,2,6,6,2,210,30,18,14,6,
2,2,2,18,6,6,2,2,2,2,2,30,14,18,2,2,6,2,6,2,6,2,18,18,6,6,6,2,6,6,6,2,2,6,2,6,
2,6,2,6,2,2,2,20,36,24,60,12,12,4,4,4,4,4,4,4,4,4,4,4,8,12,4,4,36,24,4,4,12,12
,12,12,12,12,8,8,8,8,16,12,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,4,12,4,4,4,6,6,2,2,
2,2,18,2,6,6,6,2,30,14,6,6,6,2,18,18,6,6,6,6,2,2,6,2,6,2,6,2,6,6,2,2,2,2,2,2,2
,2,2,2,2,4,8,12,4,4,4,12,4,4,4,4,4,4,4,4,6,2,6,2,6,2,2,2,2,2,6,2,6,6,2,2,2,2,2
,2,18,6,6,6,6,6,2,2,2,2,6,2,2,6,2,2,2,6,2,2,2,6,2,2,2,2,2,4,2,6,2,2,2,2,2,2,2,
6,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[2702700,49140,420,
2780,37800,315,108,15120,5460,180,600,1500,132,228,64,48,396,120,12,1260,84,60
,4,3360,105,105,192,9,36,9,6,720,56,35,27,3,2,600,860,64,40,48,48,40,180,132,
84,132,252,12,12,12,12,120,1260,220,84,60,60,28,28,20,60,24,12,4,4,4,8,4,60,
220,4,4,4,8,24,60,28,20,36,3780,105,12,9,3,540,48,9,9,24,12,9,3,1,360,35,96,72
,27,9,32,16,3,1,9,3,3,3,3,9,12,3,2,180,9,4,1,24,3,3,180,180,120,60,84,48,40,40
,12,12,12,60,60,12,12,12,4,4,4,4,4,4,4,4,60,220,12,24,24,24,4,4,4,4,8,8,8,8,8,
4,4,8,4,4,8,8,48,60,48,28,20,20,20,20,16,16,20,24,48,4,8,8,16,20,12,12,4,4,36,
2,12,12,6,6,2,420,105,35,48,9,3,12,9,3,2,1,1,180,24,9,3,4,4,4,4,3,1,1,1,1,1,
120,35,28,3,9,2,1,1,8,12,1,3,72,48,9,3,3,3,3,3,1,1,1,8,16,12,12,3,9,24,3,3,4,1
,1,24,3,1,3,4,1,24,3,1,3,4,1,4,1,4,1,60,12,40,60,12,12,4,4,4,4,4,4,4,4,4,4,4,
16,8,4,4,24,48,4,4,8,8,8,8,8,8,16,16,16,16,20,12,4,4,4,4,4,4,4,4,12,12,4,4,4,4
,4,4,12,4,4,4,12,9,12,6,2,2,2,2,2,90,3,12,12,3,3,9,6,1,3,60,35,16,8,3,3,3,3,3,
24,3,9,9,9,18,1,1,1,1,6,2,30,3,2,1,8,12,1,3,6,3,1,24,3,3,1,1,1,1,1,4,4,4,1,4,4
,1,1,4,1,4,1,4,1,4,16,8,4,4,4,12,4,4,4,4,4,4,4,4,12,9,2,1,12,3,3,2,12,3,3,2,2,
2,1,3,1,4,6,1,3,30,6,3,3,2,2,2,2,1,1,1,1,1,1,3,18,12,4,8,1,1,1,1,9,3,3,3,3,3,6
,6,1,2,1,3,6,2,1,1,1,6,3,1,1,1,2,3,6,1,1,1,2,2,1,4,1,4,3,12,3,1,3,2,2,2,1,2,1,
2,1,2,1,4,6,3,1,1,2,1,2,1,6,3,1,1,1,1,1,1,1,2,2,2,2,1,2,2,1,1,3,1,1,3,3,1,1,2,
1,2,1,3,1,1,1,1,1,1,1],[2702700,54180,180,1020,75600,2520,7560,3780,60,80,460,
36,84,24,8,108,4,1680,72,100,12,10080,2520,144,24,480,48,24,80,180,24,8,8,60,
36,12,36,36,4,4,4,4,1260,60,36,12,12,12,12,4,60,4,4,4,100,200,12,12,12,4,12,48
,24,16,8,8,2520,7560,360,60,360,16,8,360,48,24,8,24,480,16,48,16,60,12,8,4,4,4
,60,80,12,4,8,8,4,8,4,4,4,60,60,4,4,4,4,4,12,12,4,4,4,4,4,12,36,8,8,8,12,4,4,
12,16,24,12,12,4,8,4,2520,24,24,1260,360,36,60,8,4,360,8,8,8,80,24,8,4,8,8,48,
8,16,8,16,8,4,60,4,4,4,4,4,12,8,4,12,4,8,4,4,4,4,8,4,4,8,4,4,4,4,12,4,4,4,360,
24,24,60,8,4,60,60,12,4,12,4,8,80,8,12,8,8,16,8,8,8,8,8,4,4,4,8,4,4,4,4,4,360,
8,24,8,60,4,4,60,4,4,4,4,4,8,4,12,4,8,4,8,4,60,8,8,8,4,4,8,4,4,4,4,4,60,4,4,8,
4,4,4,4],[2702700,11340,780,620,37800,1260,432,3780,420,140,100,140,12,76,100,
20,84,36,12,44,20,4,360,104,20,36,12,8,140,60,20,52,4,4,12,4,20,12,12,36,12,12
,4,12,12,28,28,20,4,12,12,28,20,20,4,4,4,4,4,4,4,4,4,20,4,4,4,20,20,4,4,4,4,4,
4,4,4,144,3780,420,48,20,36,12,8,12,48,36,56,8,16,4,4,8,28,12,28,12,8,4,4,4,4,
4,8,4,28,20,20,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,20,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,60,20,52,20,12,12,8,4,4,4,4,8,
4,56,8,8,4,20,8,4,4,8,8,8,8,8,28,4,4,20,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,48,36,8,12,12,28,4,4,4,8,4,4,4,12,4,4,8,8,
8,4,4,4,4,4,4,4,4,8,4,8,8,20,8,4,4,4,4,28,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,12,4
,4,4,4,4,4,4,8,4,4,4,4,4],[2702700,54180,180,1020,75600,2520,7560,3780,60,80,
460,36,84,24,8,108,4,1260,36,60,36,10080,2520,144,24,480,48,24,80,180,24,8,8,
60,36,12,36,36,4,4,4,4,1260,60,36,12,12,12,12,4,60,4,4,4,60,60,36,4,4,12,12,4,
16,16,4,2520,7560,360,60,360,16,8,360,48,24,8,24,360,8,60,12,8,4,4,4,60,60,4,4
,4,4,4,8,60,60,4,4,4,4,4,12,12,4,4,4,4,4,16,4,4,4,4,4,2520,24,24,1260,360,36,
60,8,4,360,8,8,8,80,24,8,4,8,8,8,4,60,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,8,360,24,
60,8,4,60,60,12,4,12,4,8,60,4,8,4,4,4,4,4,360,8,8,8,60,4,4,60,4,4,4,4,4,4,4,60
,8,4,4,60,4,4,4,4,4],[2702700,54180,180,1020,75600,2520,7560,3780,60,80,460,36
,84,24,8,108,4,1260,180,60,4,10080,2520,144,24,480,48,24,80,180,24,8,8,60,36,
12,36,36,4,4,4,4,1260,60,36,12,12,12,12,4,60,4,4,4,60,60,4,4,4,8,24,12,12,20,
12,2520,7560,360,60,360,16,8,360,48,24,8,24,360,8,60,12,8,4,4,4,60,60,24,4,4,4
,4,8,4,60,60,4,4,4,4,4,12,12,4,4,4,4,4,4,8,4,12,4,4,2520,24,24,1260,360,36,60,
8,4,360,8,8,8,80,24,8,4,8,8,8,4,60,4,4,4,4,4,12,4,4,4,12,4,4,8,4,4,48,360,24,
60,8,4,60,60,12,4,12,4,8,60,4,8,4,12,4,4,4,360,8,8,8,60,4,4,60,4,4,4,4,4,4,4,
60,8,4,4,60,4,4,12,4,4],[2702700,18900,740,1020,630,54,2100,180,120,300,20,68,
48,16,60,12,72,60,36,36,12,18,6,30,18,2,2,300,8,60,20,20,20,60,12,4,4,4,24,24,
60,12,4,4,4,4,60,4,4,4,4,12,8,16,16,8,4,18,210,6,2,6,6,2,6,2,4,6,2,18,2,60,20,
20,4,12,12,4,4,8,4,60,12,4,4,4,4,4,4,4,4,8,4,4,8,4,4,4,18,2,2,12,12,6,2,2,2,6,
6,2,2,30,2,6,2,2,2,2,2,20,12,4,4,4,8,4,4,4,4,4,4,4,4,4,4,2,2,6,2,2,2,6,2,4,6,2
,2,2,2,6,2,2,4,4,4,4,4,6,2,2,2,2,2,2,6,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2],[
2702700,11340,1260,780,3780,216,11340,360,180,180,36,156,156,36,144,72,60,12,
60,36,108,12,210,180,156,36,36,180,36,36,72,36,36,42,72,36,36,36,42,60,30,12,
12,12,12,6,6,6,6,6,30,12,12,6,6,6,216,540,90,54,18,9,108,12,12,180,42,72,36,36
,36,36,36,36,36,36,42,30,6,6,6,30,6,6,6,6,6,12,6,6,6,6,12,6,6,6,6,12,6,6,6,6,
12,6,6,6,12,30,6,36,18,6,6,3,12,42,36,36,36,30,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,
6,6,6,6,54,18,36,90,18,9,9,6,6,36,6,6,6,6,6,6,6,30,6,6,3,6,18,3,6,18,9,18,6,6,
6,6,3,9,3],[2702700,11340,1260,780,81,216,11340,360,180,180,36,156,156,36,144,
72,60,12,9,1,12,9,210,180,156,36,36,180,36,36,72,36,36,42,72,36,36,36,42,60,30
,12,12,12,12,6,6,6,6,6,30,12,12,6,6,6,9,54,18,3,3,9,3,3,1,180,42,72,36,36,36,
36,36,36,36,36,42,30,6,6,6,30,6,6,6,6,6,12,6,6,6,6,12,6,6,6,6,12,6,6,6,6,12,6,
6,6,1,1,1,1,1,6,6,3,3,3,3,3,1,42,36,36,36,30,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,
6,6,6,3,3,3,18,3,9,9,1,1,1,1,1,1,36,6,6,6,6,6,6,1,1,1,6,3,1,3,3,6,3,9,3,1,1,1,
1,3,3,1],[2702700,37800,2180,9450,1260,108,22680,2310,260,540,900,138,54,1050,
54,100,840,420,240,84,36,12,6,270,50,80,36,2,140,540,260,180,66,54,1050,140,54
,30,30,100,60,18,6,20,20,140,60,18,30,6,36,420,12,20,2,270,12,26,18,18,12,90,
80,36,36,36,12,14,6,12,6,2,90,6,12,10,180,30,54,20,20,60,6,6,6,20,140,60,6,18,
18,18,18,30,18,20,18,18,6,6,6,6,6,36,2,12,12,6,6,2,420,80,20,20,12,12,2,90,12,
6,6,6,2,6,80,20,12,2,2,14,2,18,18,36,12,2,6,6,6,12,20,2,12,10,2,6,12,2,12,2,2,
2,6,6,2,2,6,2,20,60,20,6,6,20,20,6,18,18,6,6,6,6,6,6,6,12,2,12,6,2,2,2,2,2,12,
18,80,12,12,12,20,2,2,6,12,2,2,2,6,2,2,2,6,2,6,6,6,2,2,6,2,2,6,2,2,2,2,2,2,2,6
,2,2,2,20,6,6,6,6,6,6,12,2,12,2,2,2,12,2,2,2,2,2,20,2,12,2,6,2,6,2,2,2,2,2,2,2
,2,2,2,2,2,2,6,12,2,2,2,2,2,2,2,2,20,2,2,6,6,2,2,2,2,2,2,2,2,6,2,2,2,2,2],[
2702700,31500,780,940,9450,1260,108,4200,140,40,700,60,108,48,16,160,28,48,20,
4,1050,130,30,150,34,100,36,84,12,4,140,700,8,20,60,60,60,160,28,28,4,4,4,16,
20,24,20,4,4,8,4,4,4,4,20,4,20,20,4,4,4,4,8,8,4,4,36,420,12,20,2,30,14,10,36,
10,4,28,4,12,150,34,10,10,30,12,4,10,10,14,4,2,12,2,160,28,60,60,4,8,8,4,4,20,
20,8,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,20,4,4,4,4,4,4,4,4,4,12,12,4,12,4,4,4,2,2,2
,2,2,100,20,12,28,4,4,4,4,2,14,10,10,2,12,4,30,10,10,10,10,10,14,14,2,2,2,10,
10,20,2,4,2,2,2,4,2,2,2,2,12,2,2,2,2,2,2,2,2,2,2,2,60,20,4,4,4,8,4,4,4,8,4,4,4
,4,4,4,4,12,2,4,4,4,12,4,12,12,28,4,4,10,14,10,10,10,10,2,2,4,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,8,4,4,4,4,12,4,4,2,2
,4,4,2,4,2,20,2,12,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,2,2,2,
2,2,8,2,4,2,2,2,2,4,2,2,4,2,2,2,2],[2702700,11340,780,2540,9450,1260,108,420,
140,200,140,108,76,48,32,156,60,28,840,24,20,4,210,130,240,90,36,16,6,90,74,20
,36,12,2,140,20,24,16,8,8,20,12,20,12,12,28,28,4,4,4,20,80,40,16,20,24,8,20,4,
4,8,8,4,4,4,4,4,20,4,20,60,20,4,4,4,8,12,4,4,4,8,36,420,12,20,2,12,14,12,2,6,8
,4,26,6,18,6,12,12,8,36,8,12,8,14,8,6,4,2,90,2,2,6,6,2,28,4,8,4,20,20,8,8,4,4,
4,4,4,4,4,4,4,4,4,8,12,8,4,4,8,4,4,4,4,4,4,20,4,4,4,4,4,4,4,4,4,8,4,8,4,4,8,4,
8,4,36,2,6,6,4,4,2,80,16,12,2,12,2,12,8,2,2,2,2,2,2,2,20,20,12,12,2,4,4,2,14,2
,2,2,6,4,4,2,2,4,2,2,4,14,14,2,2,2,4,2,2,2,20,2,4,4,2,2,2,2,2,6,2,2,6,2,2,2,4,
4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,20,4,4,4,4,4,4,4,4,4,8,4,4,4,8,4,8,4,4,4,8,4,4
,4,4,4,12,2,4,2,6,2,2,2,2,4,4,8,4,12,8,2,14,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,2,2,2,
2,4,2,2,2,2,2,2,2,4,4,8,4,4,4,4,4,12,2,4,2,4,2,2,2,2,2,2,2,20,2,4,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,
2,2,8,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2],[2702700,26460,1500,1580,9450
,1260,108,22680,420,260,360,540,108,316,216,72,36,52,420,36,100,20,210,420,250
,60,54,36,12,12,6,270,50,20,36,12,2,140,360,20,216,72,72,180,12,4,108,12,28,52
,36,36,36,420,20,36,12,12,100,12,12,4,60,20,20,12,12,12,20,4,20,20,60,4,4,20,
12,12,4,12,12,36,420,12,20,2,270,12,26,18,18,4,50,54,18,20,18,18,54,18,4,26,12
,12,4,4,12,2,4,10,12,10,180,28,4,72,36,36,36,20,20,60,4,4,4,4,4,12,12,20,20,60
,4,4,4,4,12,12,12,4,4,4,4,4,12,20,12,12,12,12,20,4,4,4,4,4,4,4,12,4,12,2,12,6,
6,4,2,420,20,20,20,12,12,4,4,4,2,2,2,4,2,4,2,6,6,10,20,20,12,12,2,4,4,2,14,2,
18,18,18,54,18,18,18,4,18,2,14,26,18,18,18,4,2,20,2,12,10,2,6,4,10,2,2,6,4,10,
6,2,2,2,6,2,2,2,6,2,36,20,4,4,4,60,20,12,12,12,4,4,4,4,4,20,20,4,4,4,4,4,4,4,
12,4,4,12,4,12,2,6,4,2,2,2,2,2,4,4,18,20,12,4,4,4,12,20,4,4,4,4,4,2,2,14,2,18,
18,18,18,2,4,2,2,10,6,6,2,2,6,2,2,6,2,2,6,6,2,2,2,2,6,2,2,6,2,2,6,2,2,6,2,2,2,
6,2,2,2,2,2,2,4,20,4,4,4,4,4,4,12,4,4,4,4,2,2,2,12,2,2,2,4,2,2,2,2,2,2,2,20,2,
18,4,4,2,6,2,6,2,2,2,2,2,6,2,2,2,2,6,2,2,6,2,2,2,2,6,2,2,2,2,2,4,4,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,20,4,2,2,2,2,4,6,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2],[2702700,
23940,180,2460,75600,2520,7560,1260,60,320,380,84,84,24,24,180,72,4,420,108,20
,12,1680,360,48,1200,48,24,200,60,24,24,24,16,16,60,36,20,36,36,4,4,4,4,48,210
,70,90,18,18,6,6,14,18,12,8,6,4,4,4,20,20,12,4,4,8,24,12,12,12,8,8,2520,7560,
360,60,360,144,32,8,60,24,72,12,20,24,12,60,20,48,8,60,36,12,16,16,12,4,4,4,10
,12,6,12,8,2,2,4,10,4,2,4,6,4,6,10,12,6,18,6,8,4,2,6,2,6,6,6,4,4,2,2,6,6,6,6,2
,2,10,2,2,2,6,4,4,4,12,4,8,4,4,8,4,4,6,4,2,48,120,24,210,90,16,8,24,16,4,8,200
,24,8,4,24,8,24,4,12,4,24,4,24,4,8,4,12,8,8,4,12,6,8,2,2,2,4,4,4,4,4,2,6,4,4,2
,2,2,6,2,2,2,2,6,4,2,4,4,2,2,4,4,2,2,6,6,6,2,2,2,4,4,360,24,12,12,60,36,16,4,
60,10,6,10,6,18,6,4,8,10,10,4,12,4,4,8,4,4,8,4,4,8,4,8,4,2,2,4,2,4,2,2,2,4,4,2
,2,2,2,16,24,24,8,12,8,12,4,6,8,2,4,6,2,6,2,4,4,4,6,2,4,6,2,2,6,4,4,2,60,4,4,4
,8,4,2,2,4,2,2,2,4,2,4,2,4,2,4,8,4,6,4,4,2,2,4,2,2,2],[2702700,12600,720,2500,
9450,1260,108,1050,140,220,100,48,144,24,40,118,54,8,630,66,20,16,120,180,108,
36,36,24,12,12,150,34,40,36,12,4,140,100,16,12,12,20,36,10,8,4,18,90,12,40,20,
18,6,10,20,8,8,6,8,2,20,20,20,4,2,18,12,12,8,6,36,420,12,20,2,30,14,10,10,4,4,
4,36,8,18,6,10,12,12,4,12,8,6,12,4,12,4,4,90,6,8,12,2,10,6,4,2,2,4,4,2,4,4,20,
20,6,6,2,4,2,2,2,18,12,6,6,4,8,20,2,6,6,2,6,6,6,36,12,4,12,4,60,24,12,12,4,4,4
,4,2,2,6,6,6,18,4,6,4,2,4,40,20,4,4,4,2,14,10,10,2,4,6,6,12,4,2,4,6,4,20,2,4,2
,2,2,12,2,4,2,2,2,6,4,6,2,2,2,2,20,2,4,4,2,2,4,4,2,6,6,6,2,2,2,6,6,12,2,4,12,4
,4,4,4,4,10,8,4,4,12,4,4,4,4,4,2,2,6,4,2,2,2,6,2,2,2,2,6,4,2,6,6,6,2,2,2,2,2,2
,2,2,2,2,2,2,2,6,2,2,2,2,4,6,2,2,2,2,12,4,4,2,2,4,4,4,2,2,20,2,4,4,2,2,6,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,2,2,4,2,2,2,2,2,6,2,2,2,2,2,2,4,2,2,2,2,2,2
,2,2],[2702700,26460,540,1260,75600,2520,11340,1260,180,300,460,60,156,108,44,
36,108,36,36,420,36,20,4,1680,72,1440,144,72,300,60,108,12,44,44,12,180,36,36,
36,36,36,12,60,36,36,36,36,36,36,420,20,36,12,12,12,12,4,20,12,4,4,4,4,4,4,20,
20,4,4,4,4,12,12,12,4,4,4,2520,7560,360,60,720,144,72,48,64,48,60,24,24,12,4,4
,60,4,48,8,180,36,36,36,36,36,36,12,44,12,12,36,36,36,20,20,4,4,4,4,4,4,4,20,
20,12,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4
,4,4,4,4,4,120,72,210,18,60,4,4,4,4,240,72,24,12,24,48,48,24,4,4,4,48,8,8,4,4,
8,8,36,12,36,36,20,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,360,72,12,12,120,36,24,12,24,32,24,60,48,10,6,2,6,6,2,10,2,4,12,4,4,4,
4,4,4,8,8,8,8,36,4,4,4,4,4,4,4,4,4,4,24,24,24,12,12,24,24,10,2,2,2,2,6,2,2,2,
12,4,4,8,4,12,4,4,2,2,4,60,24,4,4,4,4,24,12,2,2,4,4,4,4,2,2,2,2,12,6,4,4,4,2,
12,2,2,2],[2702700,11340,780,620,37800,1260,432,11340,240,180,180,36,124,124,
36,72,48,20,4,360,104,20,36,12,8,70,180,124,36,36,180,36,36,48,36,36,14,48,36,
36,36,14,20,10,4,4,4,4,2,2,2,2,2,10,4,4,2,2,2,144,3780,180,30,108,36,18,360,36
,48,24,24,4,4,8,180,14,48,36,36,36,36,36,36,36,36,14,10,2,2,2,10,2,2,2,2,2,4,2
,2,2,2,4,2,2,2,2,4,2,2,2,2,4,2,2,2,8,60,52,10,12,2,6,4,4,2,28,24,24,4,8,4,4,14
,36,36,36,10,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,36,36,12,60,24,6,12,12,12,2
,2,30,36,18,18,24,4,4,4,36,2,2,2,2,2,2,4,4,14,2,12,12,10,2,4,2,6,2,2,4,4,2,2,
12,6,12,12,18,6,2,2,2,2,2,4,2,2,2,6,2],[2702700,27720,1060,9450,1260,108,22680
,1050,260,300,420,46,18,630,18,100,420,120,4,330,106,40,36,12,4,140,300,100,
180,22,18,630,60,18,10,10,100,60,6,2,20,20,60,60,6,10,2,36,420,12,20,2,270,30,
26,46,42,18,30,4,4,40,12,4,4,18,18,10,180,10,18,20,20,60,2,2,2,20,60,60,2,6,6,
6,6,10,6,20,6,6,2,2,2,2,2,12,12,4,12,4,420,40,20,20,4,40,20,4,4,4,2,14,10,30,
22,18,18,4,20,2,18,18,10,10,10,6,6,6,2,2,2,6,6,10,6,2,20,60,20,2,2,20,20,2,6,6
,2,2,2,2,2,2,2,12,2,4,12,4,4,4,4,4,10,18,18,40,4,4,4,20,6,6,2,2,6,6,6,6,10,6,6
,6,2,2,2,2,2,6,2,2,2,2,2,2,2,20,2,2,2,2,2,2,12,4,4,2,2,4,4,2,4,2,20,2,4,2,6,6,
6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,2,2,20,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2
,2,2],[2702700,22680,720,1700,9450,1260,108,2310,140,140,260,48,144,24,40,114,
42,8,210,78,20,16,840,120,60,48,36,16,12,6,90,74,80,36,2,140,260,16,12,12,20,
36,30,8,4,14,50,4,40,20,18,6,10,20,8,8,2,8,2,20,20,20,4,6,14,12,12,8,2,36,420,
12,20,2,12,14,12,2,6,8,12,90,48,12,8,12,6,6,10,8,14,2,4,12,8,4,2,4,8,8,6,6,2,
30,6,4,6,6,4,4,2,4,4,20,20,2,2,6,4,2,2,2,14,12,6,6,4,8,20,2,6,2,2,2,2,2,12,2,
12,6,6,4,2,20,16,12,4,4,4,2,2,2,4,4,2,8,2,2,4,2,4,80,20,12,2,2,14,2,2,2,4,2,4,
4,2,12,12,4,2,4,2,2,2,20,2,4,4,2,2,2,2,2,4,4,2,2,6,6,2,2,2,4,2,2,2,2,2,2,20,6,
4,4,2,6,4,4,2,6,2,2,2,2,2,2,2,12,2,6,4,2,2,2,2,2,12,8,4,4,8,4,2,2,2,2,2,4,4,2,
2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,4,2,2,2,2,2,
4,2,2,2,4,2,12,2,2,2,2,2,20,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,
2,2,2,2,4,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[2702700,66780,540,3180,47250,
630,7560,10500,60,440,2380,252,348,72,56,660,120,12,980,84,20,4,6930,630,90,
342,30,1230,138,30,440,1980,72,48,56,56,48,60,252,204,252,540,12,12,12,12,120,
980,220,84,68,68,36,36,28,20,16,8,4,4,4,8,4,20,220,4,4,4,8,16,68,36,28,630,
3780,45,270,204,18,6,48,6,82,12,26,1080,66,54,42,250,78,18,14,96,68,6,18,30,24
,6,120,12,2,2,12,32,2,2,60,480,120,180,204,56,48,48,12,12,12,20,20,8,8,8,4,4,4
,4,4,4,4,4,20,220,8,16,16,16,4,4,4,4,8,8,8,8,8,4,4,8,4,4,8,8,60,68,60,36,28,28
,28,28,24,24,28,16,60,4,8,8,24,28,8,8,4,4,630,30,90,18,30,630,45,54,5,120,12,8
,8,6,32,12,12,12,10,2,4,2,2,4,2,2,140,36,5,54,26,36,6,12,78,18,12,14,14,14,12,
12,204,48,36,42,30,36,6,6,6,6,18,54,68,24,24,6,32,12,8,8,2,10,2,4,2,12,8,8,32,
2,2,4,10,2,32,12,8,8,4,2,10,2,2,2,12,6,4,2,10,4,8,180,12,48,20,8,8,4,4,4,4,4,4
,4,4,4,4,4,24,8,4,4,16,60,4,4,8,8,8,8,8,8,24,24,24,24,28,8,4,4,4,4,4,4,4,4,8,8
,4,4,4,4,4,4,8,4,4,4,45,90,18,10,18,6,18,6,30,18,6,18,6,10,6,2,2,30,30,3,3,20,
6,30,6,12,120,24,16,38,12,6,5,3,3,10,2,1,30,36,30,54,24,6,6,6,14,12,12,12,4,6,
4,1,12,8,8,8,8,8,8,6,6,6,6,32,10,10,10,4,2,4,4,4,4,4,2,4,2,2,2,4,6,2,2,2,2,2,2
,2,2,2,2,2,2,4,4,2,4,12,10,4,4,4,6,6,6,8,6,6,2,2,4,4,4,6,8,6,10,2,2,2,2,2,2,2,
2,4,4,4,8,6,6,10,2,2,4,4,4,6,6,8,10,2,2,2,2,2,2,2,2,4,24,8,4,4,4,8,4,4,4,4,4,4
,4,4,45,5,18,6,9,9,9,9,6,18,6,6,10,6,5,6,2,6,2,6,6,2,2,2,2,2,2,2,2,2,12,6,10,4
,2,2,2,2,1,1,30,6,12,12,30,12,16,6,6,3,3,2,4,2,1,4,6,2,2,2,2,2,2,4,6,4,6,4,2,1
,4,4,6,6,4,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,6,6
,6,8,6,6,6,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,
3,3,9,9,5,5,3,3,6,6,6,2,3,3,5,1,1,3,5,3,5,3,3,1,1,2,2,2,2,2,2,2,12,6,2,2,4,2,2
,2,1,4,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,1,3,3,3,5,3,3,3,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1
],[2702700,41580,1260,2860,9450,315,27,15120,4200,180,600,1420,204,428,192,96,
400,120,36,840,88,20,4,1050,105,210,75,102,27,9,9,9,3,270,82,25,27,27,9,1,600,
700,192,48,96,96,48,180,156,92,204,240,36,36,36,36,120,840,160,88,56,56,40,40,
24,20,24,8,4,4,4,12,4,20,160,4,4,4,12,24,56,40,24,9,105,3,180,27,30,9,18,34,9,
34,12,24,7,1,5,3,150,82,66,34,25,54,36,48,24,21,7,34,18,18,9,3,15,9,5,5,3,9,12
,9,1,9,3,3,1,60,3,8,2,3,1,16,12,2,3,1,1,180,160,120,60,92,96,48,48,36,36,36,20
,20,8,8,8,4,4,4,4,4,4,4,4,20,160,8,24,24,24,4,4,4,4,12,12,12,12,12,4,4,12,4,4,
12,12,40,56,40,40,24,24,24,24,16,16,24,24,40,4,12,12,16,24,8,8,4,4,9,9,1,3,3,3
,3,3,3,9,1,105,25,9,9,3,3,1,60,16,8,8,4,12,3,1,8,8,8,4,3,1,1,1,2,6,2,2,6,3,1,1
,1,25,9,9,3,1,10,24,18,18,12,3,3,36,48,12,24,24,24,12,12,30,34,18,34,10,18,18,
18,18,18,9,3,5,3,3,9,3,3,3,10,18,9,12,12,3,7,1,12,16,8,8,3,1,4,2,6,2,1,1,1,16,
8,8,12,2,2,6,3,1,1,4,1,1,12,16,8,8,3,1,1,6,2,4,2,1,1,2,8,4,6,1,2,4,6,8,1,60,36
,48,20,8,8,4,4,4,4,4,4,4,4,4,4,4,16,12,4,4,24,40,4,4,12,12,12,12,12,12,16,16,
16,16,24,8,4,4,4,4,4,4,4,4,8,8,4,4,4,4,4,4,8,4,4,4,3,3,3,3,3,3,1,3,1,1,3,1,9,1
,9,9,1,1,1,3,3,1,1,3,3,3,3,1,1,3,3,1,1,3,3,3,5,7,1,3,10,18,12,25,9,5,5,5,3,3,9
,7,7,3,3,3,1,1,3,1,1,1,1,10,18,10,10,12,18,18,18,24,12,12,12,3,3,6,4,1,1,1,16,
8,8,8,8,8,8,4,4,4,4,12,1,3,1,1,1,1,1,4,4,4,6,2,6,6,6,6,6,2,6,2,2,1,1,6,4,2,2,2
,2,2,2,2,2,2,2,2,2,6,6,2,6,8,4,6,6,6,4,4,4,8,4,4,1,1,2,2,6,6,6,4,8,4,4,1,2,2,2
,2,2,2,2,2,6,6,6,8,4,4,4,1,2,2,6,6,6,4,4,8,4,1,2,2,2,2,2,2,2,2,4,16,12,4,4,4,8
,4,4,4,4,4,4,4,4,3,3,1,9,1,3,3,1,3,3,1,3,3,3,1,1,1,1,1,3,3,3,1,3,1,3,3,1,1,3,1
,1,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1,1,1,10,18,12,3,3,3,
3,3,7,3,3,3,3,5,3,1,1,1,1,1,1,1,6,4,2,2,2,2,2,2,6,4,6,4,1,1,1,1,1,6,6,4,4,1,1,
1,1,1,2,2,2,2,2,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6,6,4,4,4,8,4,4,
4,4,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,3,1,3,3,
3,3,1,1,1,1,1,1,3,3,1,3,1,3,3,1,1,1,1,1,3,3,1,1,1,1,3,1,3,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,3,3,1,1,1,1,1,1,1,1,1,1,1,6,4,2,2,2,1,2,2,2,1,1,2,2,2,2,2,2,2,2,2,2,2,
3,1,3,1,3,1,1,1,1,3,1,1,1,1,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,2,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[2702700,26460,1500,1580,9450,1260,108,
7560,1260,300,200,460,60,220,168,56,108,60,420,36,100,20,210,420,250,60,54,36,
12,12,6,270,50,20,36,12,2,280,120,60,72,24,40,100,36,12,60,36,56,60,20,20,20,
420,20,36,12,12,100,12,12,4,80,20,20,16,16,16,60,12,60,20,80,12,12,20,12,12,4,
16,16,36,180,30,18,3,90,36,30,10,14,4,50,30,10,20,18,6,42,14,12,30,12,12,4,4,
12,2,4,10,12,10,60,56,12,24,12,20,12,20,20,40,4,4,4,4,4,8,8,60,20,80,12,12,12,
12,16,12,12,4,4,4,4,4,16,20,16,16,16,16,60,12,12,12,12,12,12,4,16,12,12,2,12,6
,6,4,2,60,10,30,4,6,2,3,2,1,4,2,4,2,8,8,10,10,12,2,6,1,28,6,6,10,6,18,6,6,14,
12,10,6,28,30,10,10,10,4,6,12,10,2,8,4,10,6,2,8,4,10,8,2,6,6,8,2,6,2,8,6,12,60
,12,12,12,40,20,8,8,8,4,4,4,4,4,20,20,4,4,4,4,4,12,4,16,4,4,8,12,9,3,6,4,2,2,2
,2,2,2,30,3,6,10,2,2,2,6,2,4,1,28,6,6,6,10,6,6,4,2,2,10,8,8,2,6,8,2,2,4,6,6,8,
8,2,2,6,2,8,2,2,4,6,2,8,6,2,8,2,2,2,4,6,6,6,6,6,6,20,4,4,4,4,4,12,8,4,4,4,1,3,
1,3,1,3,3,3,1,2,1,30,10,6,2,3,1,10,2,1,6,2,6,6,4,2,4,2,2,2,2,2,4,6,6,2,2,4,2,2
,4,2,2,6,2,8,6,2,2,2,6,4,1,1,1,3,1,3,1,1,1,10,2,2,2,1,2,6,2,6,2,4,2,2,2,2,2,2,
2,2,3,1,3,1,3,1,1,1,2,2,3,1,1,1,1,1,1,1],[2594592,24192,1440,90720,18144,240,
480,1680,480,2352,12,2016,144,720,240,480,240,2352,72,12,72,18144,48,720,48,60
,240,120,72,12,24,24,72,240,48,12,60,6,6,24,72,24,240,12,12,2016,60,24,6,6,24,
12,12,12,48,24,6,12,48,24,6,6,6],[2594592,24192,1440,756,504,480,72,48,480,
2352,12,252,12,36,24,480,24,2352,72,12,72,504,12,36,12,6,24,72,8,12,4,72,4,24,
12,12,6,2,2,4,72,4,24,12,12,252,6,4,2,2,4,12,12,12,12,4,2,12,12,4,2,2,2],[
2594592,36288,2400,90720,18144,1512,240,800,216,504,72,2352,12,4032,288,864,96
,240,72,504,72,24,24,24,2352,88,12,88,18144,32,144,96,48,16,60,24,72,24,24,12,
24,88,12,4,4,504,72,240,16,12,60,4,12,12,4,24,12,8,4,4,4,4,4,24,12,12,2016,24,
12,4,4,4,4,4,12,2,2,72,24,48,24,4,4,4,2,8,4,6,6,2,2,2],[2594592,24192,960,1632
,756,504,48,480,64,96,32,72,504,72,2352,12,252,36,36,12,12,36,12,16,24,24,24,
24,8,24,2352,32,72,12,32,72,504,4,12,12,12,4,4,12,6,8,72,24,4,8,32,72,8,8,4,4,
4,24,24,24,4,12,6,2,6,2,6,2,2,8,4,8,4,4,4,4,4,8,12,12,252,4,6,2,2,2,2,2,2,4,12
,2,2,12,12,12,4,4,4,2,2,4,4,2,2,2,2,2],[2594592,24192,1440,90720,18144,240,480
,168,72,2352,12,2016,144,720,240,24,24,2352,72,12,72,18144,48,16,48,60,24,12,
12,24,24,72,8,8,240,8,12,60,6,6,24,4,4,8,24,12,12,2016,4,24,6,6,4,12,2,2,48,24
,2,2,8,4,6,6,2],[2594592,24192,1440,756,504,480,72,168,72,2352,12,252,12,36,24
,24,16,2352,72,12,72,504,12,4,12,6,8,12,12,4,72,4,8,8,24,4,12,6,2,2,4,8,4,8,8,
12,12,252,2,4,6,2,4,12,2,2,12,4,2,2,4,4,2,2,2],[2594592,12096,1152,480,9072,
160,32,160,32,672,2,192,144,48,16,16,16,160,16,672,16,2,2,16,2,16,16,16,16,12,
2,16,16,2,2,16,2,8,8,8,16,8,2,12,4,2,2,2,4,16,2,8,2,2,2,2,4,2,2,4,2,2,2,2,2,2,
2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[2594592,12096,480,9072,160,160,
672,2,144,48,160,8,672,16,2,16,16,16,12,2,8,16,2,16,16,8,2,12,4,2,4,16,8,2,2,4
,2,4,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2],[2594592,12096,480,9072,160,1008,144,160
,672,2,144,48,160,48,672,16,2,16,16,144,16,16,12,2,48,72,16,24,2,16,8,8,16,16,
2,12,4,2,4,16,8,8,16,2,2,12,4,4,2,4,4,4,2,8,2,2,2,2,2,4,4,4,2,2,2,2,4,2,2,2,2,
2,2,2,2,2],[2471040,17280,86400,504,432,17280,1920,1920,72,12,144,1920,17280,
72,72,4,24,24,12,6,6,4,24,2,72,4,2,1920,6,2,4,4,4,2,2,24,2,4,2,2],[2471040,
17280,1224,216,480,1920,240,72,12,72,1920,480,24,24,4,24,12,12,6,6,4,24,2,24,4
,2,240,6,2,4,4,4,2,2,12,2,4,2,2],[2432430,17010,1530,1206,6804,378,162,168,366
,66,234,156,52,54,54,756,72,102,42,315,126,144,18,108,36,44,66,18,6,66,18,42,
54,22,22,22,126,6,18,6,6,42,6,6,2,30,14,14,10,10,10,18,6,78,96,30,34,18,26,6,
18,36,24,12,20,20,10,10,2,315,51,15,51,15,54,42,6,36,18,22,18,6,36,18,6,2,8,16
,2,8,2,10,6,6,6,18,6,30,6,6,6,6,10,6,6,2,2,2,2,2,10,14,10,10,10,10,18,6,6,6,6,
6,18,18,12,20,12,18,6,6,6,12,10,6,12,6,6,2,4,2,2,2,2,45,3,9,7,9,27,11,3,13,51,
11,11,9,15,13,13,27,3,7,1,7,1,18,18,6,6,6,18,6,6,6,6,2,2,2,2,2,6,6,2,2,2,2,2,6
,6,6,12,6,6,2,4,2,6,2,10,2,8,2,2,2,2,8,6,6,10,6,6,6,2,2,2,2,2,6,2,2,2,21,3,9,
11,9,27,11,11,11,21,9,13,9,9,11,3,3,3,3,3,9,9,5,7,3,3,3,3,5,5,5,3,1,5,3,1,5,7,
1,1,5,7,3,1,1,5,3,7,1,1,5,1,1,1,1,5,5,7,1,6,2,2,2,2,2,6,6,6,2,2,2,2,2,4,2,6,2,
6,2,2,2,2,2,2,21,3,9,11,9,9,9,3,3,7,3,1,1,5,3,3,3,1,5,3,1,5,3,5,1,3,3,1,1,5,5,
1,1,3,1,1,3,3,3,3,5,3,5,3,3,3,3,3,1,1,1,3,3,3,3,3,3,7,5,5,1,1,1,1,3,5,1,1,1,1,
1,1,1,1,1,6,2,2,2,2,2,2,9,3,3,3,3,3,1,3,1,1,1,3,5,3,3,1,3,3,1,5,1,1,3,1,1,3,1,
1,1,1,3,1,1,1,1,3,3,1,3,1,1,1,1,3,3,3,1,1,3,1,1,1,1,1,1,1,1,1,2,3,3,3,1,1,3,1,
1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1],[2402400,33600,1440,58800
,2100,48,156,3360,2520,240,480,216,72,3360,420,144,12,1920,144,12,156,240,72,
72,2100,156,156,48,48,48,48,48,3360,120,12,12,120,12,288,12,48,24,360,48,48,72
,24,12,12,24,72,420,12,300,36,60,48,12,24,156,12,12,240,24,24,48,12,24,24,24,
156,48,48,48,120,12,12,12,12,12,12,12,12,12,12,60,36,12,12,12,12,12,12,12,72,
12,12,12,12,72,24,12,60,12,24,48,24,12,48,12,12,12,12,12,12,24,12,12,48,12,12,
12,12,12,12,12,12,12,12,12,12,24,12,24,24,12,12,12,12,12,12,12,12,12,12,12,12,
12],[2402400,13440,960,800,58800,2100,48,156,3360,160,160,64,160,32,32,1120,
140,160,20,64,12,4,4,4,720,176,20,12,60,12,8,80,64,16,32,16,2100,156,156,48,48
,48,48,48,3360,120,12,12,120,12,12,16,40,4,4,16,20,16,24,40,8,16,4,4,4,12,4,4,
4,4,4,4,16,140,4,4,4,20,100,12,28,4,4,20,16,8,8,4,4,4,8,4,4,4,4,60,12,12,8,80,
64,8,4,8,4,16,16,8,16,8,4,4,4,4,4,4,4,156,48,48,48,120,12,12,12,12,12,12,12,12
,12,12,20,12,4,4,4,4,4,4,4,12,12,12,4,4,4,4,4,4,4,4,4,4,12,4,4,4,8,16,8,4,12,
20,4,4,8,4,4,4,16,8,8,4,4,4,4,16,16,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,
4,4,48,12,4,4,4,4,12,12,12,12,12,12,4,4,4,4,8,4,4,4,8,4,8,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,12,4,4,4,4,4,4,4],[2402400,33600,1440,25200,420,120,3360,2520,240,
480,216,72,3360,420,144,12,480,144,120,12,240,72,72,420,48,12,12,12,36,120,120
,12,48,24,360,48,48,72,24,12,12,24,72,420,12,60,36,12,12,12,48,12,12,12,36,24,
48,12,24,24,24,12,12,12,60,36,12,12,12,48,12,12,12,12,12,12,12,12,12,36,24,12,
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],[2402400,33600,1440,25200,420,216,12,3360,2520,240,480,216,72,3360,
420,144,12,480,144,12,12,240,72,72,420,12,12,6,6,54,36,18,120,12,12,48,24,360,
48,48,72,24,12,12,24,72,420,12,60,36,12,12,12,12,12,24,48,12,24,24,24,12,6,6,6
,60,36,12,12,12,12,12,12,12,12,12,12,12,6,18,24,12,12,12,12,12,12,12,12,12,6,
12,12,12,12,6,12,12,6,12,12,12,12,6,6,6,12,6],[2402400,53760,480,58800,2100,48
,156,3360,6720,80,480,560,7840,1260,48,4,1680,48,12,108,80,480,560,80,80,2100,
156,156,48,48,48,48,48,3360,120,12,12,120,12,240,12,24,48,8,1040,48,16,4,4,80,
32,8,80,1260,4,340,12,84,40,4,24,108,12,12,560,80,80,16,80,8,48,8,16,48,4,32,8
,8,16,16,8,156,48,48,48,120,12,12,12,12,12,12,12,12,12,12,200,4,12,12,12,24,4,
4,56,8,4,4,4,12,8,8,8,80,16,8,12,84,4,24,40,24,80,4,32,8,8,8,16,4,4,4,4,4,8,4,
8,8,4,4,12,4,8,4,4,48,12,48,12,12,12,12,12,12,8,8,4,4,20,4,16,4,8,4,24,4,4,4,8
,8,8,4,8,8,4,4,4,4,12,12,4,4,4,4,8,4],[2402400,13440,1120,58800,2100,48,156,
3360,240,160,16,24,16,1120,140,40,112,16,4,720,112,40,12,60,4,80,8,16,8,8,2100
,156,156,48,48,48,48,48,3360,120,12,12,120,12,12,16,16,24,24,4,4,40,16,48,4,4,
4,4,4,16,4,4,8,140,16,4,40,100,28,16,16,20,16,4,4,4,8,4,4,4,4,60,12,12,4,16,4,
4,4,80,8,8,8,16,4,4,16,4,8,4,4,4,8,156,48,48,48,120,12,12,12,12,12,12,12,12,12
,12,40,4,16,12,12,12,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,8,4,8,12,20,16,4,8,4,4,
16,4,8,4,4,4,4,16,4,4,4,4,4,4,16,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,48,12,16,12
,12,12,12,12,12,4,4,4,4,4,4,4,4,4,8,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4
,4,4,4,4],[2402400,23520,480,480,58800,2100,48,156,3360,840,96,32,56,280,8,
3360,560,80,30,40,6,10,2,600,96,30,12,36,6,6,32,24,280,8,8,8,8,2100,156,156,48
,48,48,48,48,3360,120,12,12,120,12,48,12,8,12,14,2,6,2,40,32,8,8,14,24,2,6,2,2
,40,2,8,16,4,2,2,8,560,10,2,30,120,6,16,10,10,32,12,6,6,2,2,8,4,4,4,4,36,12,12
,6,280,40,8,2,40,8,2,2,32,2,2,6,8,8,6,2,2,16,8,4,2,2,2,2,8,2,8,2,2,156,48,48,
48,120,12,12,12,12,12,12,12,12,12,12,16,2,6,12,12,12,12,2,2,2,14,4,2,2,2,2,2,4
,6,2,2,2,6,2,2,4,2,4,4,2,8,8,2,2,12,32,10,8,2,4,4,12,6,8,4,4,40,2,2,16,8,4,2,2
,2,2,2,2,4,4,8,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,4,2,2,2,2,6,2,4,2,2,2,2,2,48,12
,4,12,12,12,12,12,12,4,2,4,2,2,2,2,6,4,8,2,2,2,2,2,8,4,2,2,2,4,2,2,2,4,4,2,2,4
,4,2,2,2,2,2,2,2,2,12,4,2,2,2,2,2,4,2,2],[2402400,13440,480,58800,2100,48,156,
3360,80,160,144,32,1120,140,48,4,720,48,12,60,80,32,16,2100,156,156,48,48,48,
48,48,3360,120,12,12,120,12,12,16,8,16,16,4,4,48,16,16,16,140,4,100,12,20,16,4
,8,60,12,12,80,8,8,16,4,16,8,156,48,48,48,24,4,120,12,12,12,12,12,12,12,12,12,
12,12,12,12,4,4,4,4,4,4,16,16,8,8,12,20,4,8,16,8,4,16,4,4,4,4,4,8,4,4,48,12,12
,12,12,12,12,12,4,4,12,4,8,8,4,8,4,4,4,4,4,4,4,12,8,4,4,4,4,4],[2402400,31360,
480,25200,420,120,2520,160,72,280,24,3360,420,48,4,400,48,40,4,24,80,24,420,48
,12,12,12,36,16,360,16,24,8,4,40,8,4,4,16,4,12,24,420,4,60,12,12,4,4,16,4,4,4,
12,8,16,8,4,8,8,12,12,12,60,12,4,4,4,4,4,4,4,4,4,4,4,12,8,4,12,4,4,4,4,4,4,4,4
,4,12,12,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4],[2402400,31360,1120,25200,420,120,
2520,160,160,88,24,144,3360,420,40,48,4,4,400,112,40,40,4,4,24,8,48,16,16,420,
48,12,12,12,36,16,16,24,16,4,4,360,40,16,4,4,24,8,4,4,16,8,420,4,40,60,12,12,4
,4,4,4,4,16,4,4,4,4,4,8,16,12,8,8,4,8,12,12,12,24,60,40,12,4,4,4,4,4,4,4,4,4,4
,4,4,4,8,4,12,4,4,4,4,4,8,12,4,4,4,4,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,
4,4,4,4],[2402400,13440,480,58800,2100,48,156,3360,80,160,280,24,1120,140,48,4
,720,48,12,60,80,8,8,2100,156,156,48,48,48,48,48,3360,120,12,12,120,12,12,16,8
,16,16,4,4,24,40,16,8,140,4,100,12,20,16,4,8,60,12,12,80,8,8,16,4,8,8,156,48,
48,48,140,4,120,12,12,12,12,12,12,12,12,12,12,12,12,12,4,4,4,4,4,4,16,8,8,8,12
,20,4,8,16,8,4,16,4,4,4,4,4,8,4,4,48,12,20,4,8,12,12,12,12,12,12,4,4,4,8,8,4,4
,4,4,4,4,4,12,8,4,4,4,4,4],[2402400,20160,1440,33600,840,12,48,480,560,144,32,
2240,280,288,72,24,12,480,24,32,48,840,48,48,12,12,12,12,12,96,24,32,8,32,8,16
,280,72,12,12,12,12,12,24,24,80,16,8,4,24,16,8,48,12,12,12,280,24,8,4,4,4,4,24
,4,8,24,8,8,16,4,24,12,12,12,8,4,24,8,8,12,16,4,8,4,8,4,8,12,4,8,4,4,4,4,4,4,4
,4,4],[2402400,31360,480,25200,420,120,2520,160,72,16,32,3360,420,48,4,400,48,
40,4,24,32,8,420,48,12,12,12,36,16,360,16,24,8,4,4,16,4,16,4,4,8,420,4,60,12,
12,4,4,16,4,4,4,12,8,4,16,8,12,12,12,4,60,12,4,4,4,4,4,4,4,4,4,4,8,4,12,4,4,4,
4,4,4,4,12,12,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4],[2402400,20160,1440,33600,840,12
,48,480,32,2240,280,288,72,24,12,480,24,32,8,840,48,48,12,12,12,12,12,96,24,8,
280,72,12,12,12,12,12,24,24,80,16,8,4,24,48,12,12,12,8,4,4,4,4,24,4,8,24,16,4,
24,12,12,12,8,4,8,4,12,8,4,12,4,4,4,4,4,4,4],[2402400,20160,1440,33600,840,12,
48,480,32,2240,280,288,72,24,12,480,24,32,8,840,48,48,12,12,12,12,12,96,24,8,
280,72,12,12,12,12,12,24,24,80,16,8,4,24,48,12,12,12,8,4,4,4,4,24,4,8,24,16,4,
24,12,12,12,8,4,8,4,12,8,4,12,4,4,4,4,4,4,4],[2402400,33600,3360,58800,2100,48
,156,3360,840,80,1120,216,280,72,4480,700,768,220,84,48,1200,48,12,84,80,72,
280,72,24,24,24,2100,156,156,48,48,48,48,48,3360,120,12,12,120,12,48,12,12,16,
8,40,256,16,24,56,4,76,12,20,40,24,12,12,16,4,24,700,220,48,48,48,48,48,84,84,
220,12,52,28,4,16,84,12,12,280,40,72,24,12,12,40,8,8,24,8,12,12,4,80,8,8,16,4,
24,8,12,16,4,8,4,8,4,8,156,48,48,48,120,12,12,12,12,12,12,12,12,12,12,8,72,4,
16,28,12,12,12,12,76,4,20,12,12,4,4,4,4,4,4,4,4,12,12,12,4,24,8,8,4,8,12,52,4,
16,84,48,48,48,28,16,40,24,12,12,12,12,12,12,12,12,12,12,4,12,16,4,4,4,16,4,4,
4,4,4,8,4,4,4,4,4,4,4,4,4,4,12,12,12,4,4,4,4,48,12,12,12,12,12,12,12,12,12,4,4
,4,4,4,28,16,8,4,4,4,8,4,4,4,48,16,4,4,12,4,4,4,4,4,12,12,12,12,12,12,4,4,4,4,
4,4,4,12,16,4,4,4,4,4,12,4,4,4],[2402400,3360,480,3360,58800,2100,48,156,3360,
32,32,32,80,72,80,80,30,760,6,10,216,2,84,48,120,96,30,12,12,6,6,32,8,80,8,8,
2100,156,156,48,48,48,48,48,3360,120,12,12,120,12,12,8,2,2,2,2,8,8,8,2,12,24,2
,2,4,4,24,2,2,2,12,12,6,2,24,12,12,8,2,2,8,10,216,2,48,48,48,48,48,84,84,30,6,
16,10,10,6,6,2,2,4,4,4,4,12,12,12,6,80,2,24,12,12,2,24,2,2,2,4,12,12,2,32,2,2,
8,4,2,2,2,2,2,8,2,2,4,2,2,2,4,2,2,156,48,48,48,120,12,12,12,12,12,12,12,12,12,
12,4,12,2,2,6,6,8,4,4,4,12,12,12,2,2,2,2,12,12,12,6,2,2,2,2,2,2,2,2,2,2,2,2,12
,12,12,2,2,8,2,4,2,2,12,10,2,4,4,84,48,48,48,6,4,4,2,24,12,12,12,12,12,12,12,
12,12,12,2,2,8,2,2,2,2,2,2,8,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,12
,12,2,2,2,2,2,2,2,48,12,12,12,12,12,12,12,12,12,2,2,2,2,6,2,4,4,2,2,4,2,2,2,2,
2,2,2,2,2,48,4,2,2,12,2,2,2,2,2,2,12,12,12,12,12,12,2,2,2,2,2,2,2,2,12,4,2,2,2
,2,2,2,12,2,2,2],[2402400,60480,640,1440,33600,840,12,48,10080,1440,128,32,32,
6720,840,288,16,72,4,24,12,1440,72,16,4,1440,32,32,32,840,48,48,12,12,12,12,12
,288,8,1440,288,8,8,16,72,4,32,840,72,4,12,12,12,12,12,24,24,240,16,48,24,12,4
,4,4,4,4,72,4,288,8,48,12,12,12,8,4,4,4,4,240,16,72,8,4,4,4,4,4,12,24,72,4,72,
8,4,48,12,4,4,24,12,12,12,24,12,4,4,8,4,4,8,72,8,4,12,48,4,24,12,4,4,24,4,4,8,
12,12,4,24,4,12,4,4,4,12,4,12,4,4,4,4,4],[2402400,20160,2720,33600,840,12,48,
320,480,96,144,32,2240,280,80,352,16,72,24,12,480,128,80,24,8,48,16,32,840,48,
48,12,12,12,12,12,32,24,80,96,32,24,24,32,24,32,8,16,280,16,72,12,12,12,12,12,
24,24,80,80,16,16,16,16,8,8,8,4,4,4,4,4,24,8,16,24,48,12,12,12,8,4,4,4,4,80,16
,24,16,24,8,8,8,8,4,8,4,4,4,24,8,24,8,8,8,16,16,4,4,4,24,12,12,12,8,8,4,4,4,8,
4,4,8,24,8,8,12,16,4,8,8,4,4,4,8,8,4,4,8,12,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4],[
2402400,20160,1280,1440,33600,840,12,48,480,128,96,64,32,2240,280,288,32,72,8,
24,12,480,24,32,8,32,24,16,16,16,8,840,48,48,12,12,12,12,12,8,6,96,8,16,16,24,
6,8,8,280,72,8,12,12,12,12,12,24,24,80,32,16,8,4,8,8,8,8,8,24,8,8,6,48,12,12,
12,8,4,4,4,4,16,24,16,6,4,8,8,8,8,4,8,24,8,8,4,6,16,4,8,8,24,12,12,12,8,4,8,8,
4,4,4,2,2,2,8,4,6,12,6,4,8,4,8,8,4,4,6,2,12,4,8,6,4,4,8,4,4,6,4,6,4,2,4,4,2,2,
2],[2402400,20160,640,1440,33600,840,12,48,480,32,64,2240,280,288,16,72,4,24,
12,480,24,16,4,16,16,48,32,16,840,48,48,12,12,12,12,12,96,8,24,4,16,280,72,4,
12,12,12,12,12,24,24,80,16,16,8,4,4,4,4,4,4,24,4,48,12,12,12,16,12,4,12,4,24,8
,4,4,4,4,4,8,24,4,16,4,4,4,24,12,12,12,8,4,4,4,4,4,4,12,8,4,12,8,4,4,4,12,4,4,
4,4,12,4,12,4,4,4,4,4],[2402400,20160,640,1440,33600,840,12,48,480,32,64,2240,
280,288,16,72,4,24,12,480,24,16,4,16,16,48,32,16,840,48,48,12,12,12,12,12,96,8
,24,4,16,280,72,4,12,12,12,12,12,24,24,80,16,16,8,4,4,4,4,4,4,24,4,48,12,12,12
,16,4,12,4,12,24,8,4,4,4,4,4,8,24,4,16,4,4,4,24,12,12,12,8,4,4,4,4,4,4,12,8,4,
12,8,4,4,4,12,4,4,4,4,4,12,12,4,4,4,4,4],[2402400,31360,960,1440,25200,420,120
,2520,240,160,64,96,32,72,840,24,3360,420,160,60,96,12,48,4,16,400,48,60,40,4,
12,16,24,120,24,24,8,8,420,48,12,12,12,36,16,4,360,16,60,16,24,24,8,24,8,4,12,
4,4,4,16,24,24,8,420,12,16,4,48,4,60,60,12,12,12,12,12,4,4,4,4,16,4,4,12,4,4,
12,4,12,8,4,8,24,24,8,8,8,12,12,12,420,4,60,60,12,4,12,4,12,4,4,4,16,4,4,4,4,4
,4,4,4,4,8,4,12,12,4,4,4,12,4,4,12,4,60,12,4,4,4,4,4,4,12,12,12,4,4,4,12,4,4,4
,4,4,4,12,4,4,12,4,4,4,4,4,4,12,4,4,12,4,4,4],[2402400,31360,1920,480,25200,
420,120,2520,160,256,72,32,48,3360,420,320,48,24,4,32,400,48,40,4,24,24,32,48,
8,8,420,48,12,12,12,36,16,4,360,16,64,24,8,16,4,4,24,4,16,48,8,420,32,4,8,60,
24,12,12,4,8,8,4,16,4,4,8,4,8,12,16,4,8,48,8,8,12,12,12,8,60,24,12,4,8,4,4,4,
16,4,4,4,4,4,4,4,4,8,4,12,4,8,4,8,4,8,8,4,4,4,4,4,12,12,8,4,4,8,4,4,4,4,4,8,4,
8,4,4,4,4,12,4,4,8,4,4],[2402400,51520,1440,25200,420,120,8400,1440,240,4480,
420,192,28,4,880,48,40,28,12,1440,240,420,48,12,12,12,36,192,12,48,12,880,192,
48,48,28,4,12,240,420,28,4,4,100,12,12,4,4,4,28,16,4,4,4,12,12,48,192,48,48,12
,12,12,12,100,12,12,28,4,4,12,28,12,4,4,28,4,4,12,4,12,48,4,12,4,4,4,4,4,4,12,
28,12,12,4,12,12,12,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,12,4,4,4,4,4],[2402400,
2080,33600,840,12,48,72,48,40,320,8,72,24,12,64,40,4,4,48,4,840,48,48,12,12,12
,12,12,12,16,4,4,8,72,12,12,12,12,12,24,24,40,8,8,8,4,4,2,2,2,2,4,48,12,12,12,
12,12,12,12,4,4,4,2,2,2,4,8,2,2,24,12,12,12,4,2,2,2,2,12,2,12,4,2,2,2,12,2,2,
12,12,2,2,2],[2402400,2080,33600,840,12,48,72,48,40,320,8,72,24,12,64,40,4,4,
48,4,840,48,48,12,12,12,12,12,12,16,4,4,8,72,12,12,12,12,12,24,24,40,8,8,8,4,4
,2,2,2,2,4,48,12,12,12,12,12,12,12,4,4,4,2,2,2,4,8,2,2,24,12,12,12,4,2,2,2,2,
12,2,12,4,2,2,2,12,2,2,12,12,2,2,2],[2402400,20160,640,2080,33600,840,12,48,
160,480,128,48,72,32,280,72,2240,280,40,320,16,8,72,4,24,12,480,64,40,24,16,4,
4,32,24,16,8,24,840,48,48,12,12,12,12,12,16,12,8,40,96,16,12,12,16,8,8,16,24,
16,4,4,16,4,16,4,8,280,8,72,4,12,12,12,12,12,24,24,40,80,16,8,8,8,16,8,4,4,4,4
,4,4,4,4,2,2,2,2,24,4,4,4,4,8,8,12,4,8,4,4,48,12,12,12,140,12,40,16,8,12,8,24,
4,4,4,8,4,4,4,4,4,4,4,8,2,2,2,24,4,4,12,4,8,4,4,4,4,4,4,16,8,4,4,4,2,2,24,12,
12,12,8,4,4,2,2,4,4,8,4,12,12,4,8,4,4,4,4,4,12,8,2,4,8,2,8,4,4,4,4,2,2,4,4,2,2
,4,4,4,2,4,4,12,4,4,2,2,4,4,2,2,2,2,4,2,4,4,2,2,2,4,2,2,2,4,2,2,2,2,2],[
2402400,60480,2080,33600,840,12,48,10080,160,1440,48,72,280,72,6720,840,40,320
,8,72,24,12,1440,64,40,72,4,1440,24,80,48,24,840,48,48,12,12,12,12,12,288,16,
12,1440,40,288,16,12,12,16,72,16,4,16,4,16,4,24,840,8,72,12,12,12,12,12,24,24,
40,240,8,8,8,48,24,4,4,12,2,2,2,2,72,4,16,8,288,8,12,8,8,4,16,48,12,12,12,140,
12,240,40,8,12,8,72,4,4,4,4,12,24,2,2,2,72,4,12,72,4,4,4,4,4,8,48,8,12,2,2,24,
12,12,12,24,4,12,2,2,40,12,12,72,12,4,4,4,4,4,12,48,8,2,8,2,24,4,12,2,2,24,4,4
,2,2,4,2,12,4,12,12,2,8,24,4,2,4,4,4,4,2,12,2,12,2,2,2,2,4,12,2,2,2,2,2],[
2402400,40320,960,800,25200,420,120,5040,80,480,64,96,32,96,3920,420,160,20,72
,12,12,16,4,600,32,20,12,12,8,480,16,32,48,16,420,48,12,12,12,36,72,8,4,600,32
,20,72,24,8,4,12,4,4,12,4,8,24,16,420,16,12,4,2,2,20,80,12,12,2,2,2,4,4,4,12,2
,4,4,2,8,8,6,8,72,4,8,8,24,12,12,12,16,80,20,12,4,12,2,4,2,2,2,4,12,2,12,2,4,2
,2,8,12,4,2,4,2,2,2,4,2,8,8,4,12,2,4,12,12,4,4,2,2,2,2,2,2,2,4,4,2,2,4,2,2,2,2
,2,2,12,2,2,4,2,2,2],[2402400,40320,1760,25200,420,120,5040,320,480,48,72,840,
72,3920,420,80,120,48,12,4,600,32,80,12,8,480,24,160,48,24,420,48,12,12,12,36,
72,8,12,600,80,72,24,12,12,8,12,8,4,8,24,24,420,12,12,48,2,2,80,80,12,12,12,2,
2,2,4,12,2,12,12,2,8,4,6,72,4,12,4,4,24,12,12,12,420,12,80,80,12,12,12,2,2,2,4
,2,12,2,12,12,2,2,2,4,12,12,2,12,2,2,2,12,2,80,12,12,12,12,2,12,12,12,12,2,2,2
,2,2,2,2,12,12,2,2,12,2,2,2,2,2,2,12,2,2,12,2,2,2],[2402400,640,2080,33600,840
,12,48,72,32,16,40,320,16,8,72,4,24,12,64,40,16,4,4,16,4,4,840,48,48,12,12,12,
12,12,12,8,16,4,4,4,8,72,4,12,12,12,12,12,24,24,40,16,8,8,8,4,4,4,4,4,4,4,2,2,
2,2,4,4,48,12,12,12,4,4,4,12,4,4,8,4,4,4,4,4,2,2,2,4,4,8,4,4,2,2,24,12,12,12,4
,2,2,4,4,2,4,2,2,12,4,4,4,2,2,12,4,2,4,2,4,4,2,2,2],[2402400,640,2080,33600,
840,12,48,72,32,16,40,320,16,8,72,4,24,12,64,40,16,4,4,16,4,4,840,48,48,12,12,
12,12,12,12,8,16,4,4,4,8,72,4,12,12,12,12,12,24,24,40,16,8,8,8,4,4,4,4,4,4,4,2
,2,2,2,4,4,48,12,12,12,4,4,4,12,4,4,8,4,4,4,4,4,2,2,2,4,4,8,4,4,2,2,24,12,12,
12,4,2,2,4,4,2,4,2,2,12,4,4,4,2,2,12,4,2,4,2,4,4,2,2,2],[2402400,2080,8400,840
,84,156,72,80,120,96,28,24,18,12,16,40,10,12,80,12,36,12,24,12,12,21,6,9,12,8,
6,8,12,24,4,4,4,3,2,2,4,4,6,4,4,3,1,6,3,4,20,2,4,8,4,3,9,12,3,3,3,4,2,2,2,2,1,
4,6,2,4,1,3,3,1,4,1,1,1,1,2,1,6,3,3,3,2,4,2,2,3,1,1,1,2,1,1,2,2,3,1,1,4,1,1,1,
1,1,1,2,1,1,1,1,1],[2402400,3360,480,2080,33600,210,120,102,3360,32,32,32,48,
72,48,60,192,28,12,4,16,16,64,10,30,6,6,10,32,8,48,8,8,12,3,24,12,12,30,6,12,
3360,30,6,30,6,6,2,2,6,6,4,16,4,2,4,4,2,6,6,4,2,6,8,24,4,4,4,4,4,2,1,4,1,3,1,4
,4,6,4,4,4,12,3,4,48,6,4,2,6,2,2,4,2,2,32,2,2,2,4,2,6,2,2,2,3,12,3,3,3,3,3,3,
30,3,6,12,1,1,2,2,2,2,2,12,3,4,4,1,4,3,1,1,4,3,4,1,2,8,2,2,4,4,3,1,3,1,1,1,1,1
,1,1,1,3,3,3,3,6,4,1,1,1,2,4,6,3,3,4,1,1,4,2,1,2,2,1,2,3,4,1,1,1,1,3,2,12,3,3,
3,3,3,3,3,1,1,1,1,1,1,1,1,1,2,1,1,2,2,1,3,1,1,4,3,4,1,1,1,1,3,1,3,3,3,1,1,1,1,
1,1,1,3,1,2,1,1,1,1,3,1,1,1],[2402400,3360,1440,1760,25200,420,39,3360,96,96,
32,32,72,32,240,50,168,18,15,24,15,5,120,32,50,39,12,18,5,96,8,32,8,8,420,12,
12,12,3,120,39,12,8,2,5,6,6,24,24,8,2,12,8,6,6,4,4,8,15,3,15,5,4,3,2,8,5,4,8,2
,5,8,6,12,24,12,6,4,4,50,18,6,6,2,2,6,6,2,12,12,12,12,2,3,3,3,2,8,2,2,2,4,5,4,
3,6,24,4,2,2,6,15,3,8,2,5,4,2,3,2,4,3,2,12,3,3,4,12,2,2,2,2,2,2,12,12,12,12,2,
12,12,6,6,2,4,4,4,2,2,2,2,6,6,6,6,6,6,2,2,2,2,2,3,4,4,4,2,3,3,2,4,3,2,12,6,6,4
,3,3,3,1,2,3,3,3,1,12,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,3,2,2,2,4,4,4,2,2,2,
2,2,2,2,3,12,4,4,3,3,2,2,6,6,1,1,2,2,1,3,1,3,1,1,3,3,2,2,2,2,2,3,3,3,1,1,4,6,2
,2,2,2,2,3,1,3,1,1,1,1,1,3,1,3,3,1,1,1,1,1,2,1,3,1,1,1,1,1,1,1],[2316600,45360
,840,7560,45360,2520,600,360,360,2520,360,2520,360,120,720,480,360,120,360,
2520,120,360,240,120,120,120,240,2520,1080,240,120,360,120,120,240,120,120,240
,120,720,2520,360,120,120,240,120,120,120,120,240,120,120,120,180,120,120,60,
120,180,60,120,60,360,120,60,120,60,60],[2316600,3240,1080,1320,1890,3240,120,
72,72,16,72,24,36,24,24,60,12,90,54,12,60,54,90,72,4,24,24,24,60,12,12,12,12,6
,4,2,12,4,12,6,2,30,54,6,6,18,18,4,2,2,6,12,6,24,2,4,2,12,12,12,12,2,2,2,6,2,2
,2,90,30,6,2,2,6,2,18,6,2,2,6,2,2,12,2,2,2,2,2,2,12,6,6,6,6,2,2,2,6,2,2,6,15,2
,3,3,3,1,1,1],[2316600,28080,1800,1890,25920,720,360,480,600,48,144,36,660,108
,8,630,30,90,90,480,360,24,48,36,660,108,36,36,16,24,8,4,8,24,36,16,630,135,54
,18,18,30,6,2,6,10,360,36,12,8,4,8,4,4,24,24,24,8,4,36,16,8,8,24,8,4,4,90,630,
45,30,5,2,2,30,15,18,6,6,2,2,6,6,2,8,4,4,24,8,4,4,4,4,10,18,9,9,6,6,18,30,5,3,
3,2,1,3,2,2,2,4,6,6,2,2,2,1,1,18,6,3,3,2,1,2,1,3,2,45,2,2,1,5,3,3,1,1],[
2162160,48384,2160,151200,1260,48384,1260,720,720,720,108,36,1260,108,10080,
10080,1260,432,36,720,36,720,720,36,36,1260,108,36,36,36,36,36,1260,10080,144,
144,45360,1260,720,36,144,144,36,36,720,36,36,36,36,36,36,1260,36,36,144,144,
144,1260,1260,108,36,360,36,144,36,36,1260,36,36,36,36,144,360,36,36,36,36,36,
10080,1260,36,36,36,36,36,144,36,36,144,36,1260,36,36],[2162160,48384,2160,
151200,1260,45360,1344,360,720,96,216,36,1260,108,10080,10080,1260,432,36,720,
36,360,48,72,36,1260,108,36,36,24,36,24,1260,10080,144,144,45360,1260,48,12,
144,48,36,12,36,24,36,24,12,12,12,1260,36,36,24,144,24,1260,1260,108,36,360,36
,24,12,12,1260,36,12,36,12,24,36,12,24,12,36,36,10080,1260,12,36,12,12,12,144,
36,12,24,12,1260,36,12],[2162160,78624,720,105840,5040,18144,10080,240,240,720
,3360,240,1680,18480,5040,72,1800,240,720,240,3360,240,240,240,240,5040,1680,
24,24,18144,1080,240,1080,72,1800,72,24,1080,24,120,240,240,240,240,240,5040,
240,360,24,24,24,24,3360,1080,240,1080,24,240,24,72,24,24,24,120,240,1080,240,
24,24,24,240,240,240,240,24,1680,120,24,1080,24,24,24,240,240,360,24,24,240,24
,120,24,24,24,24,240,120,24,24,24],[2162160,18144,1680,105840,5040,18144,240,
240,240,96,96,96,16,1680,1680,312,48,1080,96,240,240,16,96,16,16,16,16,5040,
1680,24,24,18144,1080,240,1080,24,32,24,24,24,24,24,24,120,240,16,16,16,16,48,
120,24,24,8,24,24,24,96,24,16,8,24,240,24,8,24,8,8,120,16,1080,8,24,8,8,240,
240,16,16,8,1680,8,24,24,24,24,8,16,16,24,24,24,240,8,120,24,8,8,8,16,8,8,24,8
],[2162160,18144,1680,30240,630,216,3024,420,360,240,60,48,2520,24,240,1680,
210,180,96,72,6,720,60,18,120,12,24,120,24,24,12,24,240,120,12,72,1680,24,24,
3024,420,48,18,12,48,18,6,60,48,18,6,6,6,720,18,6,120,12,120,12,12,24,12,12,72
,24,24,360,24,24,24,24,120,24,48,18,12,48,18,6,120,12,6,6,6,6,6,120,12,48,18,
24,24,24,24,12,12,12,12,12,120,12,6,210,120,24,48,18,6,6,24,12,12,12,60,6,24,
12,6,24,6,6,6,24,12,24,6,6,6],[2162160,18144,1680,75600,252,216,15120,84,200,
240,108,48,96,16,1680,1680,216,8,12,360,96,36,120,12,24,72,8,8,12,8,16,12,8,72
,1680,24,24,15120,84,24,36,12,24,36,8,24,24,24,8,8,4,8,4,24,12,12,8,4,4,12,8,4
,4,12,8,24,8,4,24,4,72,8,4,4,4,4,4,4,120,12,4,4,8,8,8,12,4,24,36,4,4,8,4,12,12
,12,4,12,8,4,4,1680,4,4,4,4,8,4,4,4,4,4,24,24,4,12,4,12,4,8,4,4,4,4,4,4,4],[
2162160,18144,1680,75600,252,216,15120,84,200,240,108,48,840,72,240,1680,1680,
120,216,72,360,96,36,120,12,24,40,72,24,12,24,240,120,12,72,1680,24,24,15120,
84,24,36,12,24,36,8,24,24,36,24,8,8,360,36,24,12,12,120,12,12,24,12,12,72,12,
12,24,24,4,24,4,40,72,24,36,12,24,36,8,120,12,4,4,4,24,4,12,12,24,36,12,4,24,4
,12,12,12,12,12,120,12,4,1680,12,4,24,36,4,4,4,12,12,12,24,24,4,12,4,12,4,24,4
,4,12,12,4,4,4],[2162160,18144,960,720,882,108,504,240,32,128,72,16,96,240,
1680,210,60,6,36,54,12,16,24,16,32,16,8,240,24,36,1680,24,24,504,18,8,18,2,18,
2,12,6,2,54,6,12,8,24,8,16,8,36,6,6,24,24,4,24,4,32,18,8,18,2,24,2,2,2,6,2,12,
8,18,6,4,24,4,8,8,8,24,2,210,12,4,18,2,2,4,8,8,12,6,4,8,2,6,2,6,2,4,8,6,2,2,2]
,[2162160,76608,1200,151200,1260,45360,10080,360,1200,120,36,3780,36,10080,
16800,1260,120,144,12,1680,120,12,360,1200,120,36,3780,360,36,36,36,360,36,
1260,10080,48,48,45360,1260,144,12,1680,120,144,12,12,12,120,36,360,36,36,36,
36,1260,12,120,120,12,720,48,3780,1260,120,36,12,360,120,12,144,12,36,1260,12,
120,120,12,12,12,12,12,48,36,12,360,120,36,12,12,12,10080,1260,120,12,12,12,12
,36,12,720,120,48,12,12,48,12,1260,120,12,12],[2162160,46368,480,1200,151200,
1260,45360,1260,160,240,96,112,16,108,36,16,1260,108,10080,10080,1260,240,24,
12,240,192,12,24,120,96,8,8,24,12,16,8,12,1260,108,12,12,24,24,12,8,8,12,12,24
,1260,10080,48,48,45360,1260,16,4,48,16,48,4,4,24,12,16,4,8,12,4,4,8,4,4,12,24
,4,1260,12,24,24,12,48,48,1260,1260,108,12,24,120,96,24,12,4,8,4,1260,12,24,24
,4,4,12,4,4,8,8,4,24,24,12,12,12,4,4,8,10080,1260,24,4,12,4,4,4,4,48,24,48,12,
4,8,4,1260,24,12,4],[2162160,61488,240,1200,151200,1260,45360,5040,240,560,48,
112,48,16,144,2520,72,10080,13440,1260,60,192,12,12,960,96,60,12,12,240,240,48
,16,16,48,16,48,48,2520,120,72,24,24,24,24,8,120,24,24,8,1260,10080,48,48,
45360,1260,32,4,720,60,64,48,16,4,12,4,4,12,16,16,120,24,24,8,8,8,8,8,8,1260,
12,60,60,12,12,12,360,24,48,2520,1260,60,72,12,12,240,60,48,12,12,4,16,8,1260,
12,60,60,12,4,12,4,12,4,4,8,16,4,120,60,24,8,12,4,4,4,24,12,10080,1260,60,12,4
,4,12,4,4,8,4,360,60,24,12,48,12,4,8,4,1260,60,12,12,4],[2162160,15120,1456,
720,1260,27,120,240,16,48,160,120,56,120,24,15,420,48,12,15,3,36,16,7,16,16,24
,16,16,8,32,24,60,16,16,16,8,4,4,12,4,4,8,8,8,8,9,5,3,1,30,1,4,3,12,4,16,12,7,
3,16,8,4,4,8,8,8,4,4,4,4,4,4,9,1,3,3,3,3,1,3,1,1,30,4,2,1,1,1,1,4,2,1,1,1,4,3,
4,1,1,3,3,1,1,1,1,1,1,1,1,2,1,2,4,2,2,2,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,2,1,3,1,
1,1,1,1,1,1,1,1,1,1,1,1],[2162160,15120,1456,720,1260,27,120,240,16,48,160,120
,56,120,24,15,420,48,12,15,3,36,16,7,16,16,24,16,16,8,32,24,60,16,16,16,8,4,4,
12,4,4,8,8,8,8,9,5,3,1,30,1,4,3,12,4,16,12,7,3,16,8,4,4,8,8,8,4,4,4,4,4,4,9,1,
3,3,3,3,1,3,1,1,30,4,2,1,1,1,1,4,2,1,1,1,4,3,4,1,1,3,3,1,1,1,1,1,1,1,1,2,1,2,4
,2,2,2,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,2,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1],[2162160
,46368,720,151200,1260,45360,1260,120,240,36,1680,48,240,10080,10080,1260,144,
12,240,12,120,12,1260,36,12,12,240,120,12,24,1260,10080,48,48,45360,1260,48,12
,240,12,48,12,120,12,12,12,12,24,12,1260,12,12,48,48,1260,1260,36,12,120,12,48
,12,12,1260,12,12,12,12,48,12,12,120,12,12,12,10080,1260,12,12,12,12,12,48,12,
12,48,12,1260,12,12],[2162160,11088,720,624,60480,2016,6048,48,128,208,48,144,
96,32,16,280,768,192,96,128,96,32,32,48,48,16,16,16,16,2016,280,24,8,24,8,6048
,288,48,288,64,32,40,16,48,32,16,16,16,96,8,8,8,8,24,8,8,8,8,8,8,8,128,96,32,
16,32,40,16,8,8,16,288,8,8,8,8,8,8,8,8,8,8,8,8,16,48,32,16,48,8,8,8,8,8,8,32,8
,8,8,8,8,16,16,16,8,8,8,8,8,8,48,8,8,8,8,8,8,16,8,8,8,8,8],[2162160,42336,144,
60480,2016,6048,3024,48,48,144,1008,48,280,8064,2016,288,48,144,48,1008,48,48,
48,48,2016,24,56,6048,288,48,288,288,288,40,16,48,48,48,48,48,2016,8,8,24,24,8
,8,8,1008,288,48,288,48,24,16,8,48,288,24,8,8,8,8,8,8,8,16,48,48,48,48,8,8,8,8
,8,8,288,8,8,8,8,8,16,48,48,8,8,8,8,8,48,8,8,8,8,8,8,48,8,8,8,8,8],[2162160,
19152,720,1008,105840,5040,18144,240,288,336,48,144,96,32,16,1680,1680,240,96,
1248,144,48,288,96,32,32,240,48,16,16,16,16,5040,1680,48,32,48,32,18144,1080,
240,1080,48,24,48,48,16,32,24,24,8,120,240,32,16,16,16,120,24,48,24,16,8,48,16
,16,24,32,8,8,288,96,24,16,24,24,24,8,8,8,16,120,8,8,16,1080,8,8,24,8,8,8,8,16
,240,32,16,240,8,1680,24,8,24,24,24,8,16,16,48,32,24,8,8,240,8,120,24,16,8,8,
16,8,8,24,8],[2162160,21168,240,1456,75600,252,216,15120,336,240,496,48,112,16
,16,144,48,1680,1680,80,144,720,16,4,36,12,4,240,16,16,16,16,16,16,48,16,48,48
,48,72,1680,16,48,16,48,15120,84,24,36,12,96,36,16,4,4,16,48,16,48,32,12,48,16
,16,16,16,12,8,4,16,16,16,16,16,48,16,240,4,16,12,12,4,4,4,16,4,32,16,16,16,12
,4,4,16,24,36,4,16,16,16,16,16,12,48,16,4,4,12,16,1680,4,4,8,4,4,4,16,16,4,4,
16,48,4,4,4,12,4,12,16,16,4,4,4,16,4,4],[2162160,15120,1680,112,75600,252,216,
15120,56,112,112,168,56,1680,1680,560,112,4,36,12,4,56,112,56,56,56,56,72,1680
,112,112,15120,2,36,2,6,36,56,4,4,112,56,12,56,56,56,12,8,4,56,112,56,112,2,2,
2,4,2,2,56,4,56,56,12,4,4,56,36,2,4,56,56,56,56,2,2,2,2,56,1680,2,4,2,2,4,2,56
,56,2,2,112,2,2,2,2,2,12,56,2,2,4,56,2,2],[2162160,6048,3024,60480,2016,6048,
48,48,48,96,144,144,16,280,576,96,288,48,48,16,144,16,16,16,16,2016,48,24,8,
6048,288,48,288,32,32,40,16,48,16,16,16,16,96,8,8,8,8,16,8,8,8,144,32,16,32,48
,24,16,8,16,288,8,8,8,8,8,8,8,8,16,48,48,16,16,8,8,8,8,8,8,32,8,8,8,8,8,16,16,
16,8,8,8,8,8,48,8,8,8,8,8,8,16,8,8,8,8,8],[2162160,48384,2160,83160,1260,18144
,3780,240,480,720,324,108,1260,108,1680,8400,1260,360,36,936,216,36,480,240,
108,108,1260,108,36,36,36,36,36,1260,1680,24,24,15120,180,576,36,24,72,48,540,
120,120,108,36,36,36,36,180,12,30,240,108,36,36,36,36,36,1260,36,60,36,36,180,
36,24,24,24,1260,180,108,12,180,12,12,12,12,120,12,48,24,120,36,36,36,36,12,12
,30,6,6,36,180,60,36,12,12,36,36,36,12,12,24,12,12,120,12,24,36,36,12,12,36,12
,12,12,12,12,1680,30,6,6,6,6,180,12,36,12,12,12,12,12,12,36,12,12,180,36,24,6,
6,6,12,12,12,12,30,24,12,12,6,12,30,6,6,12,6,6,6,6],[2162160,18144,1440,1200,
7560,630,54,3024,420,240,240,96,240,48,36,12,48,1260,108,1680,210,240,90,24,54
,18,6,18,216,72,30,54,18,18,120,96,24,12,48,24,12,60,36,36,12,12,36,36,18,1680
,24,24,420,12,36,54,12,18,36,24,12,12,6,6,24,30,12,60,12,24,18,6,18,18,6,6,6,6
,18,18,180,12,30,12,24,12,12,12,12,36,18,18,6,6,6,6,18,180,36,24,24,24,60,36,
12,12,36,12,12,12,12,12,12,12,12,12,6,24,12,24,12,6,6,18,6,6,6,18,12,12,30,6,6
,12,12,6,6,6,6,6,18,18,18,6,6,6,6,24,12,12,12,12,12,12,12,12,12,12,6,12,12,12,
12,12,210,30,6,6,6,6,12,12,18,6,6,6,6,12,6,6,12,12,12,12,30,18,6,6,6,6,12,6,12
,12,6,6,6,6,6,12,6,6,6,6,6,6,6,6],[2162160,28224,1200,75600,252,216,15120,1344
,120,400,96,168,12,420,36,1680,3360,144,480,48,72,60,120,48,56,12,420,36,12,12
,8,12,8,72,1680,24,24,15120,84,24,36,12,24,36,24,36,16,120,32,48,24,24,12,12,
12,24,12,8,4,4,4,24,24,60,12,4,24,4,420,36,120,20,8,8,16,16,8,8,12,12,4,24,36,
24,4,8,4,12,12,12,12,8,12,8,4,1680,4,12,12,8,8,4,4,4,60,12,24,4,12,8,12,4,8,4,
4,4,12,4,4,4],[2162160,28224,1200,105840,5040,18144,1260,240,320,400,108,36,
420,36,1680,3360,144,1680,48,48,320,240,36,36,420,36,12,12,12,12,12,5040,1680,
24,24,18144,1080,240,1080,144,16,8,120,48,48,24,8,8,48,120,240,36,12,12,12,12,
12,240,48,60,12,24,24,24,420,36,320,8,8,48,8,8,8,48,120,12,1080,24,24,4,4,240,
36,240,12,12,8,12,1680,24,12,48,48,8,4,12,12,60,12,24,24,240,8,120,24,4,4,4,12
,12,4,24,4],[2162160,48384,880,75600,252,216,15120,6384,120,880,120,12,1260,12
,1680,6720,96,720,16,40,36,4,120,880,120,12,1260,120,12,12,12,120,12,72,1680,
24,24,15120,84,24,36,12,96,36,16,12,720,96,16,16,12,12,120,12,120,12,12,12,12,
24,12,4,180,4,4,24,4,1260,12,120,40,12,4,16,96,16,16,12,12,12,24,36,4,4,24,4,
12,12,12,12,120,12,16,12,1680,4,4,12,24,4,4,4,12,12,180,4,24,4,12,4,12,4,24,4,
4,12,4,4,4,4],[2162160,18144,160,1200,882,108,504,120,240,32,32,16,16,96,36,
1260,12,1680,210,90,6,6,30,54,10,4,8,8,8,16,24,12,60,24,4,12,4,120,12,36,1680,
24,24,504,18,8,18,6,2,4,30,18,6,6,2,2,2,6,2,12,12,8,4,12,8,4,4,12,6,6,4,180,4,
4,24,4,60,4,8,24,2,2,6,2,2,2,2,6,4,12,4,18,2,4,24,4,8,4,8,4,12,2,12,210,4,4,4,
6,2,2,4,4,4,30,2,6,4,8,2,6,2,6,2,4,4,2,2,2,2],[2162160,18144,480,880,30240,630
,216,3024,420,160,240,32,80,16,36,12,16,420,36,1680,210,30,18,6,720,64,10,18,6
,4,120,32,8,12,16,8,12,20,12,12,4,4,12,12,72,1680,24,24,3024,420,48,18,12,48,
18,16,2,2,10,6,2,6,6,2,2,6,6,48,120,12,8,4,4,4,4,12,24,12,4,60,12,24,24,24,20,
12,120,32,12,2,2,2,6,6,2,2,2,8,120,4,48,18,4,24,4,4,12,12,8,12,4,4,2,12,210,24
,12,8,6,6,2,4,4,4,10,6,6,24,12,2,24,6,2,2,4,4,4,2,6,2],[2162160,24192,2160,
105840,5040,18144,252,240,480,720,108,36,84,36,1680,2352,360,48,1800,480,240,
36,36,84,36,12,12,12,12,12,5040,1680,72,72,18144,1080,240,1080,72,120,72,24,8,
24,120,240,36,12,12,12,12,12,48,240,24,12,24,72,12,4,4,84,36,8,8,4,480,72,12,
24,4,4,120,12,12,12,1080,24,24,12,4,4,4,4,4,240,36,240,12,12,12,4,1680,24,12,8
,24,72,4,12,12,72,24,4,4,240,4,120,24,12,4,4,12,12,4,24,4],[2162160,24192,2160
,75600,252,216,24192,84,720,720,720,36,12,84,36,1680,1680,84,216,12,12,1080,36
,720,720,12,12,84,36,12,12,12,12,12,72,1680,72,72,15120,84,24,36,12,1080,24,36
,72,72,8,12,12,8,24,12,720,12,12,12,12,12,12,4,24,12,72,4,72,72,4,4,4,84,12,4,
8,4,360,12,72,12,4,24,4,4,12,4,4,12,24,36,4,72,4,4,4,4,4,4,360,12,12,12,12,12,
12,4,1680,4,4,4,24,12,4,4,12,12,72,4,4,4,12,4,12,72,4,4,4,12,4,4,4,4],[2162160
,18144,1440,816,75600,252,216,15120,84,128,240,96,144,16,36,12,16,84,36,1680,
1680,480,12,72,36,24,360,96,36,120,96,8,12,16,8,12,4,12,12,4,4,12,12,72,1680,
96,24,96,24,15120,84,24,36,12,24,36,8,96,24,24,8,8,12,12,8,24,12,12,8,4,4,4,4,
12,24,12,12,4,8,96,24,8,8,4,4,4,4,12,8,8,4,120,96,12,8,12,4,4,4,8,12,12,12,4,
24,36,12,8,4,4,4,4,4,4,12,12,8,12,4,4,12,4,1680,4,12,8,4,12,4,4,4,4,96,24,4,4,
4,12,4,12,4,8,4,4,4,12,4,4,4],[2162160,24192,2160,882,108,9072,504,360,720,32,
144,36,84,36,1680,294,30,12,90,360,16,48,36,84,36,12,12,8,12,8,36,1680,72,72,
504,18,8,54,18,18,30,6,2,6,12,36,8,12,8,4,4,4,4,12,72,4,72,72,4,4,4,84,12,2,2,
2,48,18,6,6,2,2,12,4,4,4,18,4,72,4,4,4,4,4,4,36,8,8,4,12,4,2,210,4,4,2,6,6,4,4
,4,18,4,4,4,8,2,6,18,2,2,4,4,2,2,2,2],[2162160,24192,2160,30240,630,216,3024,
672,120,720,96,216,12,84,36,1680,672,210,144,18,12,720,54,120,48,72,12,84,36,
12,12,8,12,8,72,1680,72,72,3024,420,48,18,12,48,18,18,48,16,6,18,6,2,6,120,12,
24,12,8,4,4,4,4,24,12,24,12,24,72,12,4,4,84,36,2,2,2,120,36,6,8,6,6,2,2,120,12
,12,4,48,18,4,24,12,4,4,4,4,4,12,12,12,12,8,12,4,2,210,24,12,2,6,6,8,4,4,4,18,
24,4,4,12,2,24,6,6,2,4,4,4,2,6,2],[2162160,21168,720,1488,75600,252,216,15120,
8,240,496,48,144,48,16,24,8,8,8,1680,1680,84,240,144,12,12,720,48,36,240,48,16
,16,8,48,8,4,4,4,4,4,4,8,8,72,1680,48,48,48,48,15120,2,36,2,6,36,8,16,48,48,16
,48,8,12,12,8,8,12,8,16,4,4,4,4,8,4,24,12,8,16,48,16,16,48,8,8,8,2,2,2,4,4,240
,48,2,16,8,12,4,8,4,12,4,4,4,36,2,4,8,16,4,8,4,4,4,8,2,16,2,2,2,8,4,1680,2,4,2
,2,12,2,4,2,4,48,48,2,2,2,2,2,12,8,16,8,2,2,4,4,2,2],[2162160,15120,2160,144,
75600,252,216,15120,32,144,144,96,32,8,8,1680,1680,720,12,36,24,144,36,144,32,
32,8,8,8,8,8,8,8,72,1680,144,144,15120,2,36,2,6,36,32,144,32,12,12,8,8,12,32,8
,8,8,8,24,12,12,32,144,32,8,8,2,2,2,8,144,2,32,12,8,8,8,12,12,12,8,36,2,12,32,
8,8,8,8,32,2,2,2,2,8,8,1680,2,12,2,2,12,2,8,2,8,144,2,2,2,2,2,12,32,8,2,2,12,8
,2,2],[2162160,24192,2160,75600,252,216,18144,252,240,480,720,108,36,84,36,
1680,1680,84,216,12,12,1080,36,480,240,36,36,84,36,12,12,12,12,12,72,1680,72,
72,15120,18,54,12,360,72,36,72,24,24,12,12,8,24,12,240,36,12,12,12,12,12,4,24,
12,24,12,24,72,12,4,4,6,2,2,8,4,360,6,24,12,12,24,4,4,12,4,4,12,36,9,4,24,12,4
,4,4,4,4,120,36,6,12,2,2,12,4,1680,3,4,1,3,12,3,4,2,12,72,3,1,1,6,1,12,24,12,4
,1,2,4,4,3,1],[2162160,24192,2160,882,108,3024,672,120,720,96,216,12,84,36,
1680,294,30,12,90,120,48,72,12,84,36,12,12,8,12,8,36,1680,72,72,420,18,27,12,6
,18,30,6,30,10,2,6,12,12,24,12,8,4,4,4,4,12,24,12,24,72,12,4,4,6,2,3,2,2,36,6,
6,10,6,2,2,12,4,4,4,9,12,4,24,12,4,4,4,4,4,12,6,12,6,2,2,4,2,210,3,4,1,3,4,3,4
,2,4,18,3,1,1,6,1,6,6,6,2,1,2,2,2,3,1],[2162160,6048,336,60480,2016,6048,192,
48,48,48,280,48,288,48,168,48,48,48,24,24,2016,56,8,6048,288,48,288,40,16,48,
24,24,48,8,32,8,8,8,24,48,24,8,8,8,24,288,28,8,8,4,8,4,16,48,48,8,8,8,8,8,4,4,
8,24,24,8,4,4,48,4,8,8,8,24,4,4,8,4],[2162160,46368,720,151200,1260,45360,1260
,120,240,36,1288,72,16,10080,10080,1260,144,12,240,12,120,12,1260,36,12,12,16,
12,24,8,1260,10080,48,48,45360,1260,48,12,16,4,16,4,8,4,12,12,4,8,4,1260,12,12
,48,8,8,1260,1260,36,12,120,12,8,4,4,1260,12,4,12,4,4,8,12,12,8,4,12,4,10080,
1260,12,4,4,4,4,48,12,4,8,4,1260,12,4],[2162160,6048,960,144,60480,2016,6048,
48,48,48,16,16,280,48,288,48,48,48,8,8,8,8,2016,32,24,8,6048,288,48,288,40,16,
48,8,8,48,8,8,8,8,8,8,8,48,8,8,8,8,8,288,8,8,4,4,4,4,16,48,48,8,8,8,8,8,4,4,8,
8,8,4,8,4,48,4,8,8,8,8,4,4,8,4],[2162160,72576,2160,83160,1260,15120,12432,280
,2160,360,36,2100,36,1680,12096,1260,336,36,1872,72,36,280,2160,360,36,2100,
280,36,36,36,280,36,1260,1680,56,56,15120,180,180,336,12,72,4,1872,336,24,72,
72,36,4,12,180,4,24,30,360,36,280,36,36,36,36,1260,36,180,12,36,300,12,12,56,
12,2100,180,36,4,180,24,4,4,4,4,280,4,72,4,24,336,72,72,4,4,12,24,4,24,4,24,4,
4,4,30,2,6,6,2,36,180,180,12,12,36,12,36,12,36,12,12,56,12,36,280,36,4,72,4,24
,4,4,4,4,4,4,4,4,1680,30,2,6,6,2,2,2,2,180,4,12,24,24,36,12,12,4,12,12,36,4,
300,12,56,6,2,2,2,2,24,4,12,4,4,4,30,12,56,12,2,4,30,2,6,6,2,12,6,2,2,2,2,2],[
2162160,22176,480,2480,7560,630,54,672,200,560,96,96,48,48,248,84,2100,36,1680
,336,210,80,150,96,18,18,14,6,6,192,56,50,18,42,6,2,24,24,24,48,64,28,100,56,
12,36,12,280,36,18,1680,56,56,420,12,12,20,18,8,12,8,14,2,6,12,32,8,16,50,24,
12,12,12,42,14,20,12,18,6,6,6,14,8,6,2,6,6,2,180,4,24,30,24,12,28,24,12,12,36,
18,6,2,6,6,6,6,2,2,6,2,300,12,12,56,12,100,12,12,4,12,4,4,4,12,8,28,4,4,4,6,4,
8,8,4,8,8,8,18,6,6,6,4,4,4,6,14,2,8,4,24,4,8,4,4,4,30,2,6,6,2,12,12,6,6,2,2,2,
2,6,2,2,2,2,6,2,2,2,6,2,2,2,6,2,2,2,12,56,12,12,12,28,4,4,4,6,8,4,4,4,4,4,4,4,
4,210,30,2,6,6,2,2,2,2,12,4,2,4,4,6,2,2,2,2,2,2,2,4,2,2,12,12,4,50,6,14,6,2,2,
2,2,4,4,2,4,4,4,6,6,14,6,2,4,6,2,2,2,2,6,2,2,2,2,2,2],[2162160,28224,960,1904,
75600,63,54,15120,1260,208,400,192,112,48,188,60,16,420,84,1680,3360,21,320,33
,240,9,18,5,6,6,480,176,11,18,15,3,2,120,64,24,24,48,36,16,8,20,420,84,12,12,
16,16,12,8,8,12,12,16,18,1680,64,24,64,24,15120,9,9,32,9,16,24,16,5,2,3,1,120,
128,32,11,48,24,24,24,15,5,56,8,3,1,9,3,3,3,3,5,16,6,2,6,3,2,9,1,3,3,3,12,8,12
,4,4,8,4,4,12,16,4,18,6,2,6,6,6,6,2,2,6,2,60,28,8,64,24,8,8,420,84,9,1,9,3,3,1
,1,1,1,1,120,64,1,8,1,3,8,16,16,8,32,9,3,3,3,3,3,1,1,1,8,8,3,5,2,3,3,1,1,3,1,3
,1,3,1,3,1,1,1,3,1,3,1,3,1,1,4,9,6,6,2,2,2,2,6,2,2,2,2,6,2,2,2,6,2,2,2,6,2,2,2
,8,16,8,4,4,8,16,12,12,1,8,8,1,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1680,3,1,3,1,3,1,1,
1,1,1,1,9,1,2,3,3,3,3,6,2,2,2,2,2,2,2,1,2,2,4,4,1,60,28,64,24,3,1,1,1,1,1,1,3,
1,3,1,2,1,1,1,3,8,16,4,4,8,1,1,3,1,3,1,3,1,1,4,3,1,1,1,1,1,1,1],[2162160,24192
,2160,83160,1260,18144,252,240,480,720,108,36,84,36,1680,2016,288,24,1296,72,
36,480,240,36,36,84,36,12,12,12,12,12,1260,1680,72,72,15120,180,576,72,36,24,
24,24,12,96,48,12,28,4,4,12,12,4,24,30,240,36,12,12,12,12,12,24,90,18,36,24,12
,24,72,12,4,4,12,4,4,12,4,4,4,360,12,24,24,48,12,4,4,4,24,4,4,4,4,30,6,6,6,6,
12,180,4,12,36,4,6,6,6,6,4,24,12,4,4,4,4,4,120,36,12,24,4,12,4,4,4,4,4,4,1680,
6,6,2,2,2,2,6,6,2,24,2,12,2,6,6,4,2,2,4,4,12,72,6,2,2,2,2,2,2,12,4,4,2,30,24,
12,4,2,4,6,6,4,6,2,2,2],[2162160,24192,2160,7560,630,54,3024,672,120,720,96,
216,12,84,36,1680,336,210,72,18,6,216,72,54,54,120,48,72,12,84,36,12,12,8,12,8
,18,1680,72,72,420,12,36,54,12,18,36,18,24,12,12,12,16,24,12,12,6,18,6,6,12,4,
6,2,6,30,12,24,12,8,4,4,4,2,6,6,6,18,24,12,24,72,12,4,4,12,4,4,4,4,6,2,2,36,12
,12,12,12,8,8,6,4,4,6,6,2,2,4,4,30,6,6,6,6,4,12,2,2,18,2,6,6,6,6,2,24,12,4,4,4
,4,4,12,12,12,12,4,4,2,4,4,4,4,4,210,6,6,2,2,2,2,6,6,2,4,2,12,2,6,6,2,2,2,4,4,
4,18,6,2,2,2,2,2,2,12,4,4,2,6,6,6,2,2,4,2,6,2,6,2,2,2],[2162160,38304,720,
83160,1260,18144,3360,240,240,400,1120,80,1680,5040,72,1056,72,60,240,240,240,
1120,80,80,80,80,1260,1680,24,24,15120,180,576,120,36,24,12,40,24,360,40,24,
120,40,8,4,30,240,80,80,80,80,90,18,60,120,8,24,24,24,840,120,8,120,12,24,24,
24,24,24,40,4,8,8,8,8,8,8,30,6,6,80,180,36,12,18,6,10,6,4,24,8,8,120,12,24,40,
40,8,8,8,8,8,1680,6,6,2,6,6,24,12,6,2,6,6,4,2,2,8,40,8,120,24,6,2,2,12,4,4,2,
30,24,8,8,2,4,6,6,8,6,2,2,2],[2162160,18144,1040,7560,630,54,3024,420,200,240,
44,24,840,8,80,1680,210,60,6,216,104,20,54,18,2,120,12,16,40,8,8,4,8,80,40,4,
18,1680,24,24,420,12,36,54,12,18,44,24,24,20,2,2,20,6,2,6,6,6,8,24,8,2,2,30,12
,40,4,4,8,4,4,6,6,6,18,2,120,8,24,24,24,40,6,2,12,12,12,12,16,6,2,8,8,2,4,4,8,
2,2,2,8,4,4,30,6,6,4,12,18,2,6,2,6,6,2,6,2,24,8,8,12,12,12,4,4,2,8,4,4,4,4,4,
210,6,6,2,6,6,4,12,6,2,6,2,2,2,2,8,4,4,20,6,6,2,2,12,4,4,2,6,6,2,2,2,4,2,6,2,6
,2,2,2],[2162160,22176,2640,83160,1260,15120,252,360,560,180,72,280,72,80,1680
,2016,432,48,1032,120,12,280,36,48,40,72,24,12,24,80,40,12,1260,1680,56,56,
15120,180,180,72,8,12,12,80,56,36,36,12,16,4,120,8,16,8,4,30,36,40,12,12,24,12
,12,48,90,18,12,8,24,12,56,12,72,8,24,8,8,4,280,4,4,24,12,4,8,8,4,8,8,8,8,4,4,
8,4,30,2,6,6,2,12,180,8,12,4,12,4,6,2,2,6,4,12,8,4,36,12,4,40,4,4,4,4,8,4,4,4,
1680,4,2,6,2,2,2,2,8,24,2,2,4,6,2,4,2,2,4,12,4,24,56,2,2,2,4,4,4,2,30,12,8,4,2
,4,4,6,2,4,2,2,2,2],[2162160,22176,960,1680,7560,630,54,672,560,96,128,192,16,
80,80,1680,336,210,160,72,36,14,12,6,192,24,18,42,12,48,64,16,32,16,8,80,16,18
,1680,56,56,420,12,12,12,18,8,2,12,16,24,32,12,12,8,6,2,12,14,6,6,6,6,8,8,8,2,
2,30,24,16,8,16,8,12,2,6,6,2,4,6,8,24,12,56,12,24,8,8,6,2,4,28,4,4,8,8,8,2,4,4
,6,2,2,8,2,4,8,2,4,8,4,30,2,6,6,2,8,12,4,2,2,2,6,2,6,2,2,6,2,12,8,4,12,4,4,4,4
,2,4,4,8,4,4,4,210,4,2,6,2,2,2,2,8,4,2,2,4,6,2,2,2,2,4,4,4,12,14,2,2,2,4,4,4,2
,6,6,2,2,2,4,4,2,2,2,2,2,2,2],[2162160,16128,960,560,7560,630,54,420,80,80,128
,20,12,16,924,108,1680,210,160,60,36,2,12,192,56,20,18,6,12,2,4,16,4,40,8,24,8
,8,40,12,12,8,18,1680,8,8,420,12,12,20,8,12,8,2,2,2,20,32,6,2,8,6,2,12,2,6,12,
12,6,2,24,6,30,8,4,4,4,4,4,12,12,6,6,2,4,6,2,120,24,8,4,4,40,24,8,8,8,2,2,8,2,
4,4,4,4,8,2,2,8,4,2,2,6,4,4,4,4,30,2,2,4,12,4,2,2,6,6,2,2,2,2,6,2,8,4,4,4,4,4,
4,2,4,4,4,4,4,4,4,210,4,6,2,2,2,8,4,2,4,6,2,2,2,2,2,4,4,4,20,12,2,2,2,2,4,4,4,
2,6,2,2,2,2,4,4,2,2,2,2,2,2,2],[2162160,36288,1200,83160,1260,15120,3360,120,
240,72,36,924,108,1680,5040,216,24,792,120,36,40,240,12,840,80,72,24,12,40,24,
12,1260,1680,8,8,15120,180,180,120,12,24,12,360,24,32,24,8,12,12,12,20,4,48,30
,24,12,40,12,12,12,12,24,90,18,36,120,24,8,4,4,840,72,8,8,8,8,8,4,4,40,4,24,4,
24,4,4,24,8,4,24,4,8,4,30,2,2,12,180,4,4,12,12,18,2,6,6,4,8,4,4,40,12,4,12,4,4
,8,4,4,4,4,4,1680,4,6,2,2,2,8,24,2,4,6,2,6,4,2,2,4,12,4,120,24,8,2,2,2,4,4,4,2
,30,8,4,4,2,4,4,6,2,4,2,2,2,2],[2162160,16128,480,720,7560,630,54,420,120,80,
32,48,16,12,1344,80,80,1680,210,80,90,24,18,18,2,6,192,24,30,18,6,6,8,4,60,12,
12,4,80,8,4,24,8,8,18,1680,8,8,420,12,12,12,8,2,8,30,12,12,4,6,6,2,2,2,6,192,6
,8,6,2,8,8,6,2,2,30,4,8,4,4,4,24,4,18,6,6,6,2,2,6,180,8,12,8,4,4,60,12,12,4,12
,4,4,12,4,4,4,4,2,8,4,6,2,2,2,2,8,4,2,8,4,2,30,2,2,4,12,6,2,2,2,6,2,2,6,6,2,2,
8,4,4,4,4,4,4,4,8,4,4,4,4,2,4,210,30,2,2,2,2,2,12,4,6,2,4,2,2,2,2,2,4,4,4,30,6
,2,2,2,2,4,4,4,2,6,2,2,2,2,4,6,2,2,2,2,2,2,2],[2162160,46368,720,83160,1260,
15120,3780,40,240,108,1624,72,80,1680,8400,1260,120,12,672,72,12,40,36,1260,36
,12,12,80,120,12,48,1260,1680,8,8,15120,180,180,24,4,540,40,36,12,12,312,16,4,
40,8,4,30,40,12,12,12,36,24,12,1260,12,60,12,12,180,8,12,8,4,4,1260,180,36,4,
180,4,4,4,40,4,4,12,40,12,4,16,4,8,12,30,2,2,12,180,60,12,4,12,4,12,4,4,8,4,4,
12,4,40,12,4,8,4,4,4,12,4,1680,30,2,2,2,2,2,180,4,12,4,4,4,4,4,4,12,4,180,12,8
,2,2,2,4,4,4,4,30,8,4,4,2,4,30,2,2,4,2,2,2,2],[2162160,15120,240,16,75600,252,
216,15120,16,16,8,8,1680,1680,80,16,4,36,12,4,16,8,8,8,8,8,8,72,1680,16,16,
15120,36,36,4,4,16,8,8,12,8,8,8,12,8,4,16,8,8,16,4,4,2,2,2,2,8,8,8,12,4,4,8,36
,4,8,8,8,8,8,2,1680,4,4,2,8,8,2,2,2,16,2,2,12,8,2,2,4,8,2],[2162160,26208,1680
,37800,504,3024,756,40,560,108,1512,72,80,280,3024,504,216,24,336,24,24,40,36,
252,36,12,12,80,280,12,48,504,280,28,28,3024,36,36,8,4,36,72,12,4,24,336,8,72,
8,25,4,40,12,12,12,36,24,12,504,24,24,90,4,6,4,6,4,28,6,2,2,252,36,36,4,36,4,4
,4,40,4,4,4,72,4,8,4,8,4,25,4,1,9,4,9,4,1,12,36,24,24,4,6,4,28,2,6,2,2,2,2,2,4
,12,4,40,12,4,8,4,4,4,4,4,25,1,4,1,1,9,1,9,1,4,1,1,1,1,1,1,36,4,24,4,4,2,2,6,2
,2,2,4,4,4,12,4,4,1,1,2,1,2,1,9,1,1,1,1,1,1,1,1,1,1,1,4,4,4,2,1,4,4,4,1,2,1,2,
1,1,1,1,1,1,4,1,4,1,1,2,1,1,1,1,1],[2162160,576,1200,108,48,48,16,120,24,15,12
,6,6,16,8,12,4,8,24,8,8,4,27,5,3,1,3,2,4,8,4,4,4,3,3,3,1,1,3,1,1,4,3,1,1,1,1,1
,3,1,1,1,1,1,1,1,1],[2162160,576,1200,108,48,48,16,120,24,15,12,6,6,16,8,12,4,
8,24,8,8,4,27,5,3,1,3,2,4,8,4,4,4,3,3,3,1,1,3,1,1,4,3,1,1,1,1,1,3,1,1,1,1,1,1,
1,1],[2162160,576,1200,108,48,48,16,360,8,15,36,2,6,16,8,12,8,4,360,8,8,12,36,
5,3,1,3,2,4,8,4,12,4,36,2,3,1,1,3,1,1,4,36,2,1,1,3,2,36,2,1,2,3,1,3,1,1],[
2162160,20160,480,1296,15120,126,756,24,400,32,48,16,108,1232,96,16,280,1344,
126,6,96,6,6,192,48,6,6,6,8,36,12,12,12,4,200,16,8,12,48,8,126,280,16,20,16,20
,16,2,72,6,32,24,8,2,6,2,2,6,120,6,8,2,32,2,6,10,1,8,4,4,36,4,12,8,126,6,6,6,6
,6,6,70,10,4,6,4,16,20,4,4,6,2,2,2,8,32,2,2,6,8,2,8,2,8,2,10,1,2,1,1,4,1,1,4,1
,2,1,4,126,6,2,6,6,6,2,6,2,6,2,2,6,6,2,2,4,6,20,4,4,4,2,6,2,2,2,2,2,1,8,2,10,1
,2,1,4,1,1,4,1,1,1,2,1,2,1,2,1,2,1,6,6,2,2,6,2,6,6,2,2,2,2,2,2,2,4,2,6,2,2,2,2
,1,1,1,1,1,1,1,4,1,1,2,1,1,2,1,2,1,2,1,6,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[2059200,960,
5040,72,480,24,240,360,480,72,36,120,24,24,12,360,120,36,24,12,60,60,12,12],[
2059200,960,288,480,24,12,360,480,72,12,3,6,24,6,12,9,6,3,3,3,60,3,12,3],[
2059200,960,288,480,24,12,360,480,72,12,3,6,24,6,12,9,6,3,3,3,60,3,12,3],[
2059200,20160,14400,1800,144,288,20160,560,560,560,480,24,80,560,120,96,48,72,
24,560,120,36,32,24,8,480,32,24,8,32,8,32,8,24,80,8,8,8,8,560,40,32,8,24,12,24
,12,32,12,8,8,8,24,8,8,8,8,8,8,8,8,32,8,4,4,8,12,8,40,8,8,4,4,4,4],[2059200,
960,7200,72,72,480,24,96,360,480,18,12,3,48,24,6,12,18,48,3,6,3,60,6,12,3],[
2059200,8640,640,640,14400,540,36,72,64,48,240,960,120,32,8,64,40,36,16,4,4,10
,16,120,24,12,18,6,12,4,16,8,12,4,4,2,120,8,8,8,12,6,2,2,2,4,4,10,1,1,1,1,4,6,
2,2,2,120,8,8,4,2,4,4,1,1,1,1,2,1,1,1,1,6,2,2,2,1,1,1,1,1,8,2,2,2,1,1,6,2,2,1,
1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1],[2027025,27405,1125,2025,
945,19845,1575,465,585,825,117,293,237,93,117,171,63,93,735,75,105,21,315,135,
27,15,45,45,9,105,585,225,237,21,93,93,21,405,81,81,93,81,57,29,117,87,21,93,
81,81,81,63,21,735,105,75,39,39,75,25,25,13,75,15,15,15,15,27,9,15,15,15,9,3,
15,15,15,3,3,3,45,105,45,9,9,21,9,27,39,25,13,21,9,9,9,9,3,1,315,15,27,9,9,5,3
,45,27,9,9,3,15,9,5,5,9,15,3,9,1,3,3,405,45,21,63,93,81,81,81,81,15,29,93,21,
21,81,81,81,21,45,45,45,9,9,9,9,9,9,9,3,9,3,3,9,9,3,3,9,9,9,45,105,45,9,27,27,
27,9,9,9,3,9,9,9,9,9,9,15,9,3,3,9,9,21,39,21,25,13,13,13,13,7,7,13,9,9,9,9,9,
15,15,15,9,9,15,9,9,9,9,15,9,9,9,9,15,9,9,9,9,15,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
27,21,21,9,9,9,9,9,7,13,9,9,9,3,3,9,9,3,3,3,3,3,1,1,1,1,1,3,1,1,1,3,1,1,1,315,
45,15,15,15,9,3,3,9,3,3,1,1,1,1,1,45,15,9,15,3,3,3,3,9,3,5,3,9,9,3,3,3,3,9,15,
3,3,1,1,3,1,3,1,3,1,3,1,1,1,15,21,81,21,81,81,15,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3
,45,45,9,9,9,9,9,9,9,9,3,3,3,9,9,3,3,3,3,3,9,9,9,9,9,9,9,9,9,15,15,3,3,3,3,1,3
,3,3,3,1,3,3,1,1,1,3,7,9,9,9,3,3,3,3,27,21,15,9,9,9,9,9,9,9,9,15,9,3,9,9,9,9,9
,9,9,7,7,7,7,13,9,9,3,3,3,3,3,3,3,3,3,1,1,1,1,1,9,3,3,3,9,9,3,9,9,9,9,3,9,9,9,
9,9,3,3,3,3,3,3,3,3,9,3,3,3,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,3,3,3,3,3,3,1,1,1,
1,1,1,1,1,1,1,1,1,9,3,3,5,9,3,3,3,45,9,5,5,5,3,9,15,9,9,15,3,3,3,3,3,3,3,3,3,3
,3,3,1,3,3,3,1,3,3,1,1,1,1,1,1,1,1,1,1,1,3,3,81,15,3,3,3,3,3,1,3,3,3,3,3,3,3,3
,3,1,1,3,1,3,3,3,3,3,3,7,9,9,9,9,9,9,3,9,9,9,9,9,9,9,9,9,3,9,3,3,3,1,1,1,1,1,1
,1,1,1,3,3,3,1,1,1,1,1,1,1,1,9,3,3,3,3,3,3,1,1,1,3,3,3,1,1,1,3,3,3,3,3,3,3,3,3
,1,3,3,3,3,1,3,1,3,3,3,3,1,1,1,1,3,3,3,1,1,1,1,3,3,1,1,1,1,1,15,3,3,3,3,3,1,1,
1,1,1,1,9,3,3,3,3,9,3,3,3,3,5,3,3,3,3,3,3,1,3,1,1,1,3,1,1,1,3,1,1,1,1,1,3,1,1,
3,9,9,1,1,1,3,1,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,3,3,3,1,1,1,
1,1,1,1,1,1,1,1,3,1,3,3,1,1,15,3,3,3,3,3,3,1,3,1,3,1,1,1,1,1,1,1,1,1,1,1,1,3,3
,1,1,1,1,1,1,1,1,1,1,1,1,3,3,1,1,3,3,1,1,1,1,1,3,1,1,1,1,1,1,1],[2027025,34965
,765,1785,28350,8505,4095,225,365,985,93,189,129,49,81,243,63,53,735,99,65,21,
2520,108,450,102,105,345,645,105,21,41,45,21,145,33,33,49,33,81,57,93,171,21,
45,37,29,33,63,21,735,125,63,39,51,35,33,21,13,55,7,7,7,7,27,9,11,11,19,9,3,15
,15,15,3,3,3,45,125,25,17,9,13,9,27,39,21,17,17,13,5,5,5,3,1,2835,270,36,54,22
,26,270,60,36,18,10,6,90,14,12,14,135,135,21,63,45,33,27,31,29,45,57,41,21,21,
31,29,27,21,35,35,15,15,15,9,7,7,11,11,5,11,3,5,11,11,9,5,3,3,3,45,125,25,9,21
,21,27,17,9,9,3,9,7,7,9,7,9,11,7,3,3,7,9,27,39,27,21,17,13,13,13,9,9,13,9,9,13
,13,13,11,15,11,9,5,7,5,5,5,5,7,5,5,5,5,7,5,5,5,5,15,3,3,3,3,3,3,3,3,3,3,3,3,3
,3,21,27,13,13,9,9,9,7,9,13,5,5,5,3,3,9,9,3,3,3,3,3,1,1,1,1,1,3,1,1,1,3,1,1,1,
315,27,90,12,14,6,6,2,10,75,51,42,6,18,22,36,36,6,10,6,6,12,14,2,10,12,2,12,2,
2,6,6,10,6,2,10,2,45,21,27,21,29,27,15,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,15,35,15,
9,3,3,3,7,7,7,5,5,5,7,11,3,3,3,9,9,7,11,7,9,9,3,3,3,3,5,5,9,1,1,1,3,1,1,1,1,3,
1,1,3,3,3,3,9,9,5,7,3,3,3,3,21,27,7,5,5,5,5,5,9,13,9,11,9,3,9,7,7,9,7,7,7,9,9,
9,9,13,5,9,3,3,3,3,3,3,5,5,3,1,1,1,1,1,7,5,3,5,7,7,9,7,9,9,9,5,3,3,3,9,9,3,3,3
,3,3,3,3,3,9,3,3,3,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,3,3,3,3,3,3,1,1,1,1,1,1,1,1
,1,1,1,1,45,9,27,11,13,18,45,9,5,15,9,3,15,7,6,6,3,7,12,2,2,2,6,6,2,2,6,2,10,6
,6,6,2,10,2,2,6,2,2,2,2,6,2,6,2,2,27,5,9,1,1,1,1,3,1,1,1,1,1,1,1,1,1,3,3,1,3,3
,3,3,3,3,3,9,9,5,7,7,7,3,9,7,7,7,7,9,3,3,3,3,5,7,3,3,3,1,1,1,1,1,1,1,1,1,3,3,3
,1,1,1,1,1,1,1,1,9,3,3,3,3,3,3,1,1,1,3,3,3,1,1,1,3,3,3,3,5,5,5,3,1,3,1,1,1,1,3
,1,3,1,5,3,3,1,1,1,1,5,5,3,1,1,1,1,3,3,1,1,1,1,1,21,3,9,11,15,3,3,3,7,1,5,9,9,
3,5,3,3,3,6,3,5,1,3,1,6,2,3,1,1,6,3,7,1,5,2,2,3,5,2,2,6,6,2,2,2,2,2,1,2,2,3,3,
7,3,3,3,1,3,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,5,3,3,1,1,1,1,1,
3,1,1,1,1,1,3,1,3,3,1,1,9,3,3,3,2,6,1,1,3,5,1,1,1,3,1,1,3,3,1,1,1,1,2,3,1,2,2,
1,3,3,5,3,2,2,1,3,1,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,1,3,1,3,1,1,1,3,1,1,1,
2,1,1,1,1,1,3,1,1,1,1,1,1,1],[2027025,19845,1485,1305,81,8505,1575,405,285,465
,53,189,225,57,189,99,27,105,315,63,105,29,27,3,9,315,225,225,153,9,33,45,9,
165,45,45,93,45,33,21,53,63,63,81,57,33,45,27,63,315,45,27,15,27,105,21,9,5,75
,21,21,21,21,15,3,15,15,23,5,1,19,19,45,9,9,9,45,45,75,17,9,21,5,15,15,9,9,25,
13,15,15,15,3,1,9,3,5,3,9,3,135,45,63,27,81,45,27,39,33,15,21,33,9,9,39,33,27,
63,15,15,45,9,9,3,3,3,7,7,3,7,1,3,7,7,7,3,9,9,9,45,45,75,3,9,9,15,17,9,9,1,5,3
,3,5,3,9,15,3,1,1,3,5,9,15,9,9,9,5,5,5,3,3,5,9,9,13,13,13,15,19,15,9,15,21,15,
15,15,15,21,15,15,15,15,21,15,15,15,15,45,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,21,
13,9,9,5,3,3,5,15,15,15,9,9,3,3,1,1,1,1,3,1,1,1,1,1,3,1,1,1,3,1,1,1,3,3,3,5,5,
1,3,5,3,3,3,3,15,63,27,9,33,27,45,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,45,15,9,3,9,9,
9,3,3,3,3,3,3,3,7,1,1,1,7,7,3,7,3,5,5,9,9,9,9,15,15,9,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,9,3,9,15,3,1,1,1,1,9,9,21,15,15,15,15,15,9,13,9,15,9,1,9,3,3,5,3,3,3,3,3,3
,3,5,15,3,1,1,1,1,1,1,3,3,3,1,1,1,1,1,3,3,1,3,3,3,7,3,5,5,5,3,9,9,9,3,3,1,1,1,
1,1,1,1,1,3,1,1,1,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,9,9,9,9,9,9,1,1,1,1,1,1,1,1,
1,1,1,1,3,3,3,3,3,3,3,3,5,3,1,1,27,15,9,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,9,
9,9,9,1,1,3,9,15,3,3,3,9,7,3,3,3,3,5,9,9,9,9,3,3,1,9,3,1,1,1,1,1,1,1,1,1,1,3,3
,1,1,1,1,1,1,1,1,3,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,1,3,3,3,3,3,3,3
,3,3,3,3,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,1,1,1,1,3,3,3,1,1,1,1
,1,1,1,1,9,9,3,3,3,3,3,3,3,3,3,3,3,3,3,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1
,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,1,1,1,1,1,1,1,1,1,1,3,1,3
,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1853280,4320,1440,288,1512,96,96,
32,48,16,240,72,72,72,72,32,48,16,16,16,240,48,48,24,24,8,12,16,16,48,16,8,8,
72,24,8,8,12,12,12,2,16,8,8,8,8,8,8,4,12,2,8,2,4,4,4,12,2,4,4,2,2],[1853280,
22464,1440,1512,18144,504,240,480,72,504,72,240,504,24,72,72,240,24,504,72,24,
24,24,240,24,24,504,108,24,8,12,24,24,4,24,24,4,4,4,72,504,36,24,4,24,12,12,4,
4,2,24,4,4,4,4,4,4,8,24,4,4,3,4,2,4,2,4,3,4,1,4,1,36,2,4,1,4,1,1],[1853280,
4320,480,96,1512,48,32,16,240,24,72,24,72,48,16,16,240,16,16,12,8,8,12,16,8,16
,8,72,12,4,4,12,4,4,2,8,8,8,8,4,6,2,4,2,8,2,2,2,2,2,6,2,2,1,2,1,1,1],[1801800,
7560,360,360,75600,5040,576,7560,120,120,120,24,72,72,24,24,24,720,144,144,120
,72,24,24,120,24,24,24,24,24,24,24,24,24,5040,576,576,7560,720,120,144,48,24,
720,144,48,48,48,120,24,24,24,24,24,24,24,24,24,144,120,72,48,24,48,48,576,24,
24,24,720,144,144,144,48,144,120,24,24,48,24,24,120,48,24,24,48,24,48,24,24,24
,144,120,48,48,24,48,48,24,24,24,24,48,24,24,24,24],[1801800,7560,360,360,2520
,162,144,7560,120,120,120,24,72,72,24,24,24,72,18,120,72,24,24,120,24,24,24,24
,24,24,24,24,24,144,18,360,60,36,12,6,6,6,72,6,120,24,24,24,24,24,24,24,24,24,
24,12,6,6,6,6,18,24,24,24,36,6,12,24,6,6,60,12,6,6,6,24,12,6,12,6,6,12,6,6,6,6
],[1801800,45360,600,56700,2520,144,5040,5460,40,120,600,60,12,980,12,40,7840,
1680,48,1260,60,72,120,600,40,60,12,980,120,12,12,12,40,4,4,40,120,4,12,2520,
144,144,5040,300,40,24,4,300,204,24,4,60,24,60,12,12,720,48,16,240,12,44,4,8,
40,60,12,40,40,4,4,4,40,120,4,4,4,4,12,12,12,4,12,4,4,1680,220,12,48,16,72,980
,240,12,40,240,16,120,12,60,12,60,4,12,16,48,44,12,12,12,8,12,4,4,4,16,16,4,12
,4,12,144,40,4,4,4,12,4,4,4,4,300,24,24,24,4,80,24,24,36,4,12,12,8,40,12,4,12,
40,4,60,4,12,120,12,4,40,4,12,4,4,16,4,4,4,4,4,12,12,12,12,4,4,4,4,4,4,4,48,16
,4,240,44,12,8,12,4,16,4,12,12,4,4,12,8,4,4,40,40,4,4,12,4,4,12,4,4,4,4,4,4,4,
4,4,4,24,8,40,4,4,4,12,16,4,12,4,12,4,4,4,4,4,12,8,4,40,4,4,4,4,12,4,4,4,4,4,4
,4,4,4,4,4,4],[1801800,25200,920,31500,630,72,90,10080,1960,120,240,440,56,20,
700,20,40,1680,70,60,56,24,2,660,92,20,18,42,2,240,200,120,32,20,700,80,20,12,
12,40,8,4,40,80,8,12,420,30,24,36,12,2520,70,30,18,10,6,4,2,2,480,18,64,42,12,
56,4,44,20,24,2,2,120,20,24,24,6,2,2,2,120,6,20,28,4,4,2,2,120,20,20,40,40,4,4
,4,40,80,4,8,8,8,8,12,8,8,8,4,4,24,30,14,8,10,6,2,4,2,6,36,6,2,210,70,20,14,2,
8,6,2,120,8,6,2,60,20,2,2,6,2,20,24,32,12,20,24,8,2,2,28,20,12,12,4,2,8,4,8,4,
2,8,2,8,2,4,8,8,12,12,40,4,4,8,8,4,4,4,4,30,18,6,6,6,10,6,4,4,4,2,8,36,6,4,2,6
,6,2,2,6,2,6,2,6,6,4,2,60,2,2,2,6,2,2,2,2,2,20,12,20,20,20,6,2,2,2,2,6,20,2,8,
8,2,2,2,2,8,2,4,4,8,8,8,8,12,8,8,4,4,4,4,4,4,4,6,4,2,4,8,6,6,14,10,2,2,4,2,2,2
,6,2,8,2,2,2,6,2,2,6,6,2,2,6,2,2,2,4,2,2,2,2,2,2,20,2,2,2,2,6,2,2,2,2,8,8,4,4,
4,2,2,2,2,2,2,4,4,4,4,6,4,2,2,2,2,2,6,2,2,2,8,2,2,2,2,6,2,2,2,6,2,2,2,2,2,2,2,
2,2,4,6,2,4,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2]
,[1801800,65520,1560,56700,2520,144,5040,11340,40,280,1560,180,36,1260,36,40,
11760,2520,216,24,2100,12,24,280,1560,40,180,36,1260,280,36,36,36,40,12,12,40,
280,12,36,2520,144,144,5040,300,40,24,4,300,216,24,4,12,4,2100,216,72,12,12,24
,24,4,300,4,72,4,40,180,36,40,40,12,12,12,40,280,12,12,12,12,36,36,36,12,36,12
,12,2520,24,480,144,24,1260,300,36,40,4,300,72,4,4,4,4,4,280,4,12,4,4,72,216,
24,12,12,4,4,72,4,4,72,4,72,4,4,4,4,4,4,144,40,12,12,12,36,12,12,12,12,300,24,
24,24,4,480,24,24,24,24,24,24,40,36,4,40,4,4,280,36,12,4,4,40,12,4,12,72,4,4,4
,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,144,12,300,4,24,72,24,4,72,24,24,24,4,24,
24,40,40,12,12,36,4,12,4,12,4,12,4,4,4,4,4,4,4,144,24,40,4,4,4,72,4,4,24,4,4,4
,4,4,4,12,4,24,24,40,4,12,4,4,4,4,4,4,4,4,4,24,12,4,4,4,4],[1801800,20160,720,
1560,31500,630,72,90,2520,700,80,280,48,144,72,24,180,44,8,840,48,40,2520,420,
120,90,168,18,30,12,6,180,156,18,54,20,48,12,12,36,24,32,8,4,16,210,30,30,34,6
,18,30,10,2,4,8,6,40,140,4,8,24,12,4,420,30,24,36,12,2520,70,30,18,10,6,4,2,2,
30,18,10,6,18,22,4,8,14,30,48,12,8,36,10,18,6,42,42,14,4,6,18,12,12,6,6,4,180,
6,4,12,36,4,6,2,12,6,4,20,8,2,4,4,4,2,4,2,8,4,4,2,4,2,2,6,14,12,12,4,6,2,8,6,
18,2,2,12,6,2,420,30,12,6,24,18,18,12,12,12,6,210,30,30,30,6,10,6,2,2,2,30,18,
2,2,4,10,6,2,14,2,6,4,20,48,14,2,2,2,2,4,12,2,4,4,2,12,4,4,4,2,18,6,6,2,6,6,4,
12,4,6,6,2,4,12,36,2,6,2,12,4,6,2,4,6,4,2,2,4,2,2,12,2,4,4,2,2,2,6,2,4,2,2,2,2
,6,2,30,18,6,6,6,10,6,4,4,4,2,24,6,18,4,6,4,12,6,6,4,6,6,4,6,6,12,2,2,2,2,6,4,
2,2,2,12,4,6,6,14,2,2,4,2,2,2,2,20,2,2,2,2,6,2,12,4,2,2,6,6,2,2,2,2,2,2,4,2,2,
4,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,4,2,2,2,2,2,2,12,12,2,30,10,6,2,2,6,4,12,6,4,6
,6,2,6,12,6,6,4,6,12,6,6,4,2,2,6,6,4,6,6,4,2,2,2,4,2,2,2,6,2,2,2,6,2,2,2,2,2,2
,2,2,2,2,2,2,2,4,2,2,2,2,2,2,12,6,4,2,2,2,2,2,2,12,2,6,6,2,2,6,4,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,6,4,6,6,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,4,2,2,2
,2,2,2,2],[1801800,35280,120,56700,2520,144,5040,2520,40,40,120,840,144,40,
6720,1680,660,12,24,40,120,40,840,40,40,40,40,24,12,2520,144,144,5040,300,40,
24,4,300,72,24,4,12,4,240,240,16,24,4,40,40,40,24,40,40,12,1680,120,48,24,840,
240,40,240,40,4,12,4,4,24,4,4,8,4,4,4,144,40,12,12,48,300,24,24,24,4,24,12,12,
40,4,40,4,4,40,40,8,4,4,4,4,4,48,12,240,24,12,4,4,12,40,40,4,4,4,24,8,40,4,4,4
,4,4,4,4,12,40,4,4,4,12,4,4],[1801800,35280,960,120,56700,2520,144,5040,2520,
40,40,120,192,16,840,40,16,6720,1680,160,48,16,660,12,24,48,40,120,40,8,16,840
,40,40,8,8,16,8,40,40,16,8,8,2520,144,144,5040,300,40,24,4,300,72,24,4,12,4,
240,48,8,48,240,8,24,4,40,40,40,8,40,40,16,8,8,8,8,1680,16,120,48,48,16,16,24,
840,240,40,8,4,240,8,4,40,4,8,12,4,4,4,8,24,4,4,4,4,8,4,4,4,4,144,8,40,8,8,8,
300,24,24,24,4,48,16,24,12,12,40,4,40,4,4,40,8,40,4,4,8,4,4,4,4,4,4,4,48,16,8,
240,4,24,12,4,4,4,12,40,8,4,8,40,4,4,4,4,4,16,24,40,4,4,4,4,4,4,4,8,4,12,40,8,
4,4,4,4,4,4,8,4,4,4,4],[1801800,35280,120,56700,2520,144,5040,2520,40,40,120,
840,48,40,6720,1680,660,12,24,40,120,40,840,40,40,40,40,8,4,2520,144,144,5040,
300,40,24,4,300,72,24,4,12,4,240,240,48,24,4,40,40,40,8,40,40,4,1680,120,48,24
,840,240,40,240,40,4,12,4,4,24,4,4,4,4,8,4,144,40,4,4,16,300,24,24,24,4,24,12,
12,40,4,40,4,4,40,40,4,4,8,4,4,4,48,4,240,24,12,4,4,12,40,40,4,4,4,16,24,40,4,
4,4,4,4,4,4,12,40,4,4,4,4,4,4],[1801800,37800,360,1800,56700,2520,144,5040,
2520,40,80,680,72,168,48,16,216,8,840,72,40,8,6860,1680,60,372,96,24,900,108,
72,80,120,48,16,16,40,72,24,72,72,8,8,8,8,840,40,72,24,24,24,24,8,40,8,8,8,40,
40,8,8,8,24,24,8,2520,144,144,5040,300,40,24,4,300,72,24,4,44,20,240,12,36,12,
124,4,12,4,48,40,4,48,8,240,24,4,8,24,4,40,24,16,8,8,8,40,40,8,8,8,8,8,40,40,8
,8,8,8,8,24,24,8,8,8,8,8,8,8,1680,96,24,24,140,12,48,8,72,840,240,72,40,24,8,8
,4,240,8,4,16,16,24,4,4,4,8,80,48,20,8,12,20,4,4,12,4,4,4,24,12,12,4,4,4,4,12,
16,24,4,4,8,4,4,4,8,4,4,4,16,4,4,4,144,8,40,8,8,8,8,8,8,8,8,8,300,24,24,24,4,8
,24,8,24,48,8,12,4,4,12,8,40,4,16,8,40,4,4,40,24,8,24,8,16,4,40,8,4,12,4,4,4,4
,8,4,4,4,4,4,4,4,4,4,16,4,4,4,4,4,4,4,4,4,4,4,4,4,48,24,8,8,240,24,8,8,8,4,24,
12,4,4,12,4,4,4,20,4,12,4,8,4,4,40,8,4,8,40,8,8,8,4,4,8,8,4,4,4,4,8,4,4,4,4,4,
4,24,8,40,4,4,4,8,4,4,4,4,4,4,4,16,4,4,4,4,8,4,8,12,8,4,40,8,4,4,8,4,4,4,4,4,4
,4,4,4,4,4,4,8,4,4,4,4,4,4],[1801800,12600,120,2440,31500,630,72,90,2520,700,
240,200,120,56,8,24,180,80,420,84,40,8,420,20,60,284,24,36,18,24,540,76,10,18,
18,6,4,80,40,8,32,24,8,16,24,24,24,20,40,80,48,16,24,16,8,16,4,8,40,20,8,8,8,4
,8,12,12,12,420,30,24,36,12,2520,70,30,18,10,6,4,2,2,30,18,82,6,18,4,20,8,6,2,
2,30,12,8,20,8,50,2,6,6,6,18,22,4,12,16,6,2,4,120,6,16,4,6,6,12,12,4,20,8,8,16
,8,20,8,8,4,4,4,4,4,16,8,8,4,4,4,4,8,8,12,8,8,4,4,8,8,4,4,24,24,8,12,4,6,30,14
,2,6,2,2,6,12,6,4,20,48,12,8,6,2,4,6,6,2,4,2,2,8,2,32,6,4,4,10,2,2,2,4,2,6,2,4
,80,10,8,6,2,2,2,4,2,2,16,2,2,4,2,6,2,8,6,2,2,4,4,2,6,2,4,6,2,2,12,4,12,4,2,2,
4,4,4,4,4,2,2,12,4,2,2,4,4,8,2,2,2,4,2,2,12,8,8,4,4,4,8,4,4,4,4,4,30,18,6,6,6,
10,6,4,4,4,2,4,2,2,4,2,6,4,12,2,4,6,6,2,2,2,2,6,6,4,2,2,20,2,2,8,2,2,2,2,2,8,4
,2,2,6,8,2,2,4,2,2,4,20,2,4,2,2,2,2,2,2,2,4,2,4,4,2,2,2,4,2,2,2,4,2,2,2,4,2,8,
2,2,2,2,4,2,2,2,2,2,4,2,2,4,2,2,2,2,2,2,2,2,6,4,2,4,8,6,4,6,6,2,2,2,2,4,4,4,2,
12,2,2,6,2,6,2,2,2,2,2,2,2,2,2,2,4,2,6,2,6,2,2,2,4,2,2,2,2,2,2,2,2,8,2,8,2,4,2
,2,2,2,2,2,2,4,2,2,2,2,2,2,4,2,2,2,2,2,2,2,4,2,2,6,4,2,2,2,2,2,2,2,4,2,2,2,2,2
,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,4,2,6,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[1801800,35280,440,56700,2520,
144,5040,2520,280,200,120,840,120,6720,1680,80,660,44,80,24,8,280,40,120,120,
840,40,120,120,120,120,40,120,2520,144,144,5040,300,40,24,4,300,72,24,28,12,20
,240,80,240,24,12,40,40,40,40,120,40,120,120,1680,80,120,48,8,8,24,8,840,240,
40,40,240,40,40,4,4,28,12,4,12,24,12,4,12,12,12,4,12,144,120,40,40,40,40,300,
24,24,24,4,80,24,12,8,12,40,4,40,4,4,40,40,40,12,4,12,4,4,4,12,48,8,40,240,24,
12,4,4,4,4,12,40,40,40,4,40,12,4,4,4,4,24,8,40,4,4,4,4,4,4,4,40,4,12,40,40,4,4
,4,4,4,4,40,4,4,4,4],[1801800,7560,360,360,2520,144,7560,120,120,120,24,72,72,
24,24,24,72,120,72,24,24,120,24,24,24,24,24,24,24,24,24,144,9,360,60,36,12,6,
72,120,24,24,24,24,24,24,24,24,24,24,12,9,24,24,24,36,12,24,60,12,6,6,24,12,12
,6,12,6,3,3],[1801800,25200,2520,56700,2520,144,5040,840,40,200,840,144,288,24
,280,96,8,3080,420,492,108,24,1320,36,48,200,40,72,96,24,280,96,32,32,24,8,8,4
,8,8,32,24,2520,144,144,5040,300,40,24,4,300,102,24,4,18,12,12,6,8,30,24,164,
44,18,66,12,36,2,16,30,26,4,8,6,34,4,40,24,36,8,4,8,4,4,8,8,8,8,4,32,24,12,12,
8,12,4,4,420,108,24,24,230,6,48,8,48,280,30,96,26,8,8,4,30,4,8,6,6,26,10,4,2,2
,8,4,200,8,8,6,4,6,44,12,12,12,30,6,2,2,12,34,6,2,2,4,2,4,10,4,4,10,4,4,6,8,2,
2,2,144,8,4,4,8,12,4,4,4,4,300,24,24,24,4,4,36,8,24,12,36,12,16,6,2,2,6,8,4,40
,24,4,6,40,4,4,6,24,32,8,6,8,2,8,4,6,2,2,8,2,4,2,2,10,4,2,6,4,2,4,2,2,2,2,4,2,
6,2,2,2,2,6,8,6,2,2,2,2,2,2,2,2,2,48,24,8,4,30,26,8,8,8,4,12,12,34,6,4,6,44,12
,2,2,8,2,6,2,4,4,4,4,8,2,2,8,4,8,4,2,4,8,12,6,2,4,2,2,4,2,4,2,2,6,8,2,2,2,2,2,
2,2,2,2,2,2,24,8,40,4,4,4,6,4,10,4,2,4,2,2,2,8,6,2,2,4,2,4,2,4,2,2,12,6,8,4,2,
8,4,4,6,2,8,2,2,2,4,2,2,2,2,2,2,2,4,2,2,4,4,2,4,2,2,2,4,2,2,2],[1801800,25200,
2520,31500,630,72,90,10080,700,120,480,840,48,204,56,280,96,8,2520,490,324,50,
18,24,480,36,18,78,480,120,24,68,56,280,96,32,32,16,20,8,4,8,20,32,16,420,30,
24,36,12,2520,70,30,18,10,6,4,2,2,480,18,10,42,12,6,22,12,2,12,30,8,108,108,18
,18,38,50,6,6,10,30,18,4,6,6,6,10,10,120,56,12,8,4,8,4,4,20,20,20,8,4,32,16,8,
8,20,8,4,4,420,36,8,12,4,6,10,18,2,16,36,6,210,70,30,54,14,6,6,6,2,4,2,2,30,4,
4,6,6,18,6,4,2,6,6,6,6,60,14,2,6,12,2,12,2,108,4,4,38,6,6,6,6,10,10,6,2,2,10,2
,4,6,6,4,6,6,4,6,4,6,2,2,12,8,4,4,20,8,4,4,4,4,30,18,6,6,6,10,6,4,4,4,2,2,8,6,
36,6,4,36,36,4,2,6,2,2,6,4,2,4,60,2,2,2,6,2,6,2,2,12,2,4,6,18,2,14,18,2,6,2,6,
4,2,2,2,2,6,2,2,2,2,4,2,2,6,6,6,2,4,2,4,2,2,2,2,4,2,6,6,6,6,2,2,4,2,2,2,2,2,2,
2,2,2,2,12,4,4,4,30,6,6,6,2,2,2,2,4,4,4,2,36,4,10,2,6,4,6,2,6,4,2,2,6,2,2,6,2,
4,4,4,4,4,2,2,2,2,2,4,2,2,2,2,2,2,2,18,2,6,2,6,2,2,2,2,4,2,2,2,2,6,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,6,4,4,2,2,2,2,6,2,2,2,6,2,4,2,2,2,2,2,2,2,6,6,2,2,2,2,4,2,2,2
,2,2,4,6,4,2,4,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2
,2,2,2],[1801800,20160,720,1880,31500,630,72,90,2520,1960,160,200,144,72,24,
128,56,8,420,92,8,1680,120,30,236,18,6,36,6,18,24,360,116,20,18,18,2,20,200,48
,12,12,36,20,8,4,20,210,90,38,2,38,30,18,6,6,8,6,4,20,8,4,12,20,12,12,420,30,
24,36,12,2520,70,30,18,10,6,4,2,2,30,18,64,6,20,4,20,2,10,2,2,120,36,8,38,18,6
,6,24,12,4,6,6,4,12,14,6,2,6,6,2,2,30,18,4,6,6,2,30,2,2,20,2,6,4,12,6,4,4,4,2,
4,20,6,8,4,4,4,2,4,2,2,20,2,2,12,12,6,6,6,2,2,6,6,4,2,6,24,6,8,12,4,6,30,14,8,
12,2,6,12,6,2,210,10,38,12,6,2,4,2,6,6,2,4,2,2,6,10,6,14,8,4,10,2,4,4,2,2,6,2,
4,2,20,20,48,2,2,2,2,20,2,20,2,12,6,6,8,12,4,2,2,6,6,6,4,2,6,2,2,2,2,6,2,4,2,2
,4,2,24,4,2,2,2,4,6,6,4,2,2,12,4,4,2,2,2,2,2,6,4,6,2,2,2,2,2,30,18,6,6,6,10,6,
4,4,4,2,4,4,4,2,6,4,2,12,6,6,2,2,2,6,2,2,6,4,2,2,2,2,2,2,2,4,2,2,2,20,2,20,12,
4,2,2,2,6,6,2,4,2,2,2,2,2,2,4,2,2,2,2,6,2,6,2,2,4,2,4,2,2,2,2,2,6,4,4,2,2,2,2,
2,4,2,4,2,2,6,2,6,6,6,2,2,2,2,2,2,2,2,2,6,4,2,2,2,4,2,6,6,2,2,2,2,4,4,4,2,6,2,
6,2,2,2,4,2,12,8,6,2,6,2,2,2,2,6,2,2,2,2,2,4,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,4,2,6,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,6,4,2,2,2,2,2,2,2,2,4,2,4
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[1801800,5040,480,1720,56700
,2520,144,5040,160,40,40,48,32,72,8,72,40,16,80,40,360,24,96,8,24,300,28,40,24
,24,4,140,40,40,8,4,8,72,40,8,20,8,12,4,4,8,20,8,8,8,12,4,2520,144,144,5040,
300,40,24,4,300,24,16,4,4,8,8,24,4,8,8,4,8,24,8,8,4,40,20,8,8,4,20,8,4,8,4,8,4
,8,4,4,96,8,24,24,40,24,4,4,8,8,24,4,72,20,24,4,8,2,8,4,4,24,2,6,4,8,40,20,4,4
,2,14,4,4,4,2,4,4,2,4,2,2,4,6,4,2,4,144,4,20,4,8,4,4,4,300,24,24,24,4,8,4,4,24
,4,8,8,40,4,40,4,4,8,4,4,4,2,8,4,2,2,4,4,2,4,2,4,4,2,2,4,2,2,8,24,4,4,24,8,8,8
,2,4,2,2,4,2,8,20,4,8,2,4,20,4,2,8,4,2,2,4,2,2,2,2,24,4,40,4,4,4,2,4,4,2,4,4,4
,2,2,8,8,4,4,20,4,2,2,2,2,4,4,2,2,4,4,2,2,2,4,2,2,2],[1801800,27720,360,1320,
56700,2520,144,5040,2100,40,240,520,72,168,48,32,180,60,8,280,24,3220,420,60,
144,12,1560,132,96,240,120,48,24,32,32,24,40,72,24,72,60,8,8,8,8,60,280,20,24,
8,8,12,12,4,8,4,20,4,8,8,12,4,2520,144,144,5040,300,40,24,4,300,246,24,4,18,12
,76,6,24,210,36,24,12,52,48,12,8,42,14,4,12,12,14,30,2,6,34,4,40,60,24,32,24,
24,8,8,8,20,8,8,8,4,4,4,4,4,4,4,4,8,12,4,4,4,4,4,8,4,4,4,420,12,250,18,48,16,
96,280,30,24,2,30,6,2,2,2,2,2,2,2,2,240,48,24,8,48,24,6,4,6,48,12,6,8,8,8,6,6,
6,18,6,12,6,4,4,4,4,12,14,14,14,34,6,2,2,4,8,2,6,2,2,2,2,2,6,2,2,2,2,2,8,2,2,
144,8,24,4,8,4,4,4,4,4,4,4,300,24,24,24,4,20,12,4,4,24,12,12,12,42,6,10,6,4,40
,60,4,6,32,8,40,4,4,6,20,12,4,8,8,4,2,2,6,14,4,4,4,8,6,6,6,2,8,2,6,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,2,2,2,2,2,2,2,2,48,16,4,30,2,12,
34,6,4,6,48,12,12,6,4,4,4,4,24,6,2,6,6,4,2,2,24,8,4,6,8,4,4,4,2,8,4,2,2,2,2,2,
8,2,4,2,2,2,2,2,2,2,2,24,8,40,4,4,4,6,2,6,2,2,2,4,4,8,2,2,2,2,2,8,4,14,2,2,4,4
,2,12,6,4,6,8,2,8,2,2,4,6,2,4,2,2,2,2,2,2,2,2,2,4,4,2,2,4,2,4,2,2,2],[1801800,
42840,120,1320,31500,630,72,90,2520,7000,80,1320,120,120,8,8,320,20,420,20,
4620,420,20,136,12,720,36,30,18,54,6,6,80,1320,8,8,8,8,8,120,120,120,320,20,
420,80,20,20,20,8,8,8,80,20,8,8,420,30,24,36,12,2520,70,30,18,10,6,4,2,2,30,18
,136,6,20,22,36,2,2,14,2,6,2,720,20,20,20,136,6,2,2,36,36,12,2,4,30,2,2,6,6,2,
2,320,20,120,120,8,8,8,80,20,20,20,8,8,8,8,8,8,8,8,20,8,8,420,12,60,4,10,18,2,
12,4,12,6,6,420,30,20,2,30,2,2,2,2,6,2,2,2,2,80,30,8,6,14,2,2,6,2,2,36,2,20,2,
2,6,6,2,2,2,2,2,2,2,136,20,20,20,20,20,36,36,2,2,4,6,2,2,2,6,2,2,2,2,2,2,2,2,6
,2,6,2,2,2,2,2,2,2,2,2,12,120,8,8,20,8,8,8,8,8,30,18,6,6,6,10,6,4,4,4,2,60,4,4
,12,6,4,2,12,4,12,2,2,6,2,4,6,6,2,2,20,2,2,8,6,6,14,2,2,2,2,20,2,80,8,8,20,2,2
,20,20,20,36,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,12,4,8,30,2,4,6,2,6,2,2,6,6,2,10,2,6,4,4,2,2,12,4,4
,2,2,6,2,2,6,2,4,2,2,2,2,8,2,6,20,2,20,8,8,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,6,4,4,2,2,2,2,2,2,2,6,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,8,2,2,4
,6,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2],[1801800
,17640,840,1000,31500,630,72,90,10080,700,120,240,360,72,200,128,48,60,20,24,
280,24,420,70,140,30,32,18,6,2,6,840,148,10,18,42,6,4,240,40,128,8,48,48,8,120
,24,8,72,20,24,24,24,24,20,280,20,24,8,8,12,12,4,8,4,20,4,8,8,12,4,420,30,24,
36,12,2520,70,30,18,10,6,4,2,2,480,18,82,42,12,6,4,60,2,36,2,2,30,36,32,12,10,
12,12,32,12,6,2,12,6,2,6,6,2,2,2,2,2,6,6,30,2,6,34,4,120,20,8,48,8,8,24,24,24,
20,8,8,8,4,4,4,4,4,4,4,4,8,12,4,4,4,4,4,8,4,4,4,6,6,30,14,2,10,12,2,2,4,2,6,36
,6,4,70,10,2,6,2,2,30,6,2,2,2,2,2,2,2,2,120,10,56,6,2,2,6,4,2,2,16,36,2,12,2,2
,12,32,2,12,12,12,2,2,2,6,2,12,2,12,12,12,12,2,2,6,2,2,2,2,6,2,2,34,6,2,2,4,8,
2,6,2,2,2,2,2,6,2,2,2,2,2,8,2,2,12,24,8,4,8,4,4,4,4,4,4,4,30,18,6,6,6,10,6,4,4
,4,2,2,2,2,2,2,36,6,4,6,6,6,2,2,2,6,2,6,4,6,4,60,2,20,2,6,2,24,2,12,2,2,2,12,2
,10,6,2,2,2,2,2,2,2,2,2,2,2,12,12,12,12,2,2,2,2,2,8,2,6,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,2,2,2,2,2,2,2,2,6,4,2,4,2,2,6,10,2,4,2,4,6,
14,2,2,6,2,2,2,6,2,2,2,2,2,2,6,2,4,2,6,2,6,2,2,2,4,2,2,8,12,2,12,2,2,2,2,2,2,2
,2,2,4,2,2,2,2,2,8,2,4,2,2,2,2,2,2,2,2,6,4,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,4
,2,2,2,6,2,6,2,2,2,2,2,2,4,2,6,2,4,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2],[1801800,7560,840,520,56700,2520,144,5040,160,80,120,
24,104,48,16,32,40,8,140,140,40,12,24,8,540,124,40,72,24,4,140,80,48,16,16,40,
24,28,32,8,8,8,40,20,8,8,4,4,4,20,8,4,4,2520,144,144,5040,300,40,24,4,300,24,
16,36,20,8,28,12,4,4,4,12,4,16,8,4,4,40,28,16,8,8,8,20,4,4,20,4,4,8,4,4,4,4,4,
8,40,20,24,12,8,4,4,8,8,72,4,20,4,2,2,2,4,80,48,20,20,4,8,2,14,20,4,4,12,4,4,4
,4,14,16,4,4,4,4,2,4,2,4,2,2,2,144,8,20,4,4,4,4,4,300,24,24,24,4,4,24,4,8,4,4,
40,4,16,8,4,40,4,4,4,14,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,8,8,4,4,2,2,4,12,4,4,2
,20,2,4,20,4,2,8,20,4,2,4,8,2,2,2,2,2,2,24,4,40,4,4,4,2,4,4,4,2,4,2,4,4,20,4,2
,2,8,4,2,2,4,2,2,4,2,4,2,4,2,2,2],[1801800,30240,560,1880,12600,315,18,36,7560
,3220,360,840,48,104,24,180,72,24,700,84,8,1680,175,75,136,19,12,15,6,6,6,360,
56,35,27,11,2,2,300,440,48,12,4,4,96,24,12,60,490,130,30,18,30,22,18,6,6,8,10,
4,100,8,4,24,36,4,4,105,12,6,9,3,70,4,1,180,40,9,1,24,12,9,3,5,240,35,72,48,21
,9,32,16,9,5,3,11,3,3,9,15,12,1,2,2,60,3,4,3,16,7,3,60,54,2,12,12,6,4,4,4,2,4,
100,6,8,4,8,8,6,4,2,2,24,18,18,4,4,6,2,18,18,2,2,6,4,2,105,12,9,6,2,3,1,2,15,
15,7,7,4,4,6,6,4,4,1,3,1,3,9,2,2,70,20,6,4,4,1,2,1,60,16,3,3,4,4,4,4,1,1,3,3,1
,1,20,4,6,2,1,8,12,3,1,48,40,1,1,3,1,9,3,3,5,3,8,16,12,12,1,9,16,1,3,4,3,1,16,
1,1,3,4,3,16,7,1,3,4,1,4,1,4,1,3,4,4,2,2,18,6,2,2,4,6,2,2,2,2,2,105,9,1,4,1,1,
1,15,15,7,3,7,3,3,4,3,6,2,3,3,4,2,1,2,2,1,9,1,9,9,1,2,2,3,3,3,3,3,3,2,2,2,3,3,
1,1,6,2,20,4,6,6,6,2,2,2,1,2,8,12,3,1,2,16,3,1,1,1,1,3,1,4,4,4,1,4,4,1,1,4,1,4
,1,4,1,3,3,3,1,1,1,1,2,4,1,2,1,1,1,15,7,3,3,3,3,1,1,9,1,4,1,1,2,1,1,4,1,1,2,1,
1,9,9,1,1,3,3,3,3,3,3,3,1,3,1,3,3,2,2,2,1,3,3,1,1,3,3,1,1,3,3,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,2,2,2,6,2,2,2,4,1,3,3,3,1,1,1,1,1,1,1,1,1,9,1,4,1,1,1,1,2,2,2,1,
1,1,1,3,3,3,3,3,1,1,1,1,3,3,1,1,3,3,1,1,3,3,1,1,3,2,1,2,1,2,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,2,3,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,3,1,2,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1801800,50400,240,1880,37800,
945,36,2520,8400,240,1320,48,40,24,216,72,8,700,84,8,6720,945,35,240,3,12,33,6
,1200,56,35,33,3,2,100,1320,16,12,12,12,180,8,4,36,490,170,30,18,54,22,10,6,6,
8,6,4,100,8,4,12,36,4,12,945,36,36,2520,60,3,60,192,3,3,24,12,9,3,1,1200,35,
192,40,9,9,32,24,1,1,3,3,3,3,3,33,12,3,2,60,3,12,1,40,1,3,180,18,6,4,12,6,4,4,
4,2,4,100,6,8,4,4,4,2,4,2,2,36,18,18,4,12,6,6,6,18,2,6,6,4,2,945,12,33,6,6,35,
195,3,3,12,12,36,6,2,2,33,2,490,60,30,3,4,1,60,16,3,3,12,4,4,8,1,1,1,1,1,1,100
,16,4,1,24,4,1,3,16,192,3,3,3,3,3,1,1,1,1,24,24,4,8,3,9,16,1,3,8,1,1,16,1,1,3,
8,1,40,1,1,3,4,1,4,1,4,1,36,4,4,2,2,18,2,2,6,4,6,2,2,2,2,2,105,9,1,60,3,3,3,
195,35,3,3,3,3,9,12,33,2,2,2,1,1,6,3,3,33,3,3,2,9,33,3,1,1,3,2,2,3,3,1,1,18,4,
100,4,18,6,1,4,4,4,24,4,1,3,6,16,3,1,1,1,1,1,1,4,4,8,1,4,4,1,1,4,1,4,1,4,1,36,
12,6,6,2,2,60,3,4,1,1,1,35,3,3,3,9,1,1,1,3,3,16,1,3,3,3,16,1,1,3,1,3,9,1,3,3,3
,33,9,1,1,3,3,3,3,1,1,2,4,1,3,3,1,1,3,3,1,1,1,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,
4,2,18,2,2,6,2,4,1,36,12,12,3,6,2,6,2,2,2,3,3,16,1,1,1,3,4,1,1,3,3,1,1,3,3,3,1
,1,1,1,3,3,1,1,9,1,1,1,1,1,3,3,3,4,1,4,1,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,2,12,3,3,3,6,2,1,1,2,2,2,1,1,2,1,3,3,1,4,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,1,1,1,
1,1,1,1,1,2,1,3,1,1,1,1,1,1,1],[1801800,40320,720,2200,18900,315,9,2520,6300,
280,1320,80,120,40,316,96,24,420,76,8,3360,315,120,25,228,9,3,27,3,3,720,124,
25,9,27,9,1,180,1080,48,20,12,12,216,24,12,68,210,110,22,18,46,34,22,10,2,8,10
,4,60,8,4,8,36,4,12,315,9,9,90,9,144,9,4,9,60,6,22,7,1,5,3,660,16,12,25,168,42
,30,10,7,7,76,48,12,3,3,5,9,5,5,9,27,22,3,1,3,3,9,1,30,1,10,4,3,3,22,18,3,1,1,
180,54,6,12,4,2,4,4,4,2,4,60,2,8,4,8,8,6,4,2,2,32,18,18,4,12,10,6,6,18,2,6,2,4
,2,315,3,27,3,3,3,25,75,9,27,3,3,9,3,1,1,9,3,3,27,9,9,1,30,4,4,2,12,1,1,10,6,6
,8,1,1,1,1,4,2,2,3,3,3,1,36,18,2,3,3,36,12,6,4,4,2,144,4,12,6,3,3,5,3,9,3,3,3,
3,36,48,3,18,20,9,7,1,12,4,4,3,1,8,2,1,1,1,4,4,12,2,1,1,1,8,3,1,18,22,6,6,1,1,
1,8,6,3,1,4,6,2,1,6,8,6,1,9,4,4,2,2,18,6,2,6,4,2,2,2,2,2,2,105,9,1,75,25,9,5,
27,15,7,3,21,1,3,3,3,1,1,1,1,1,3,9,3,3,3,9,9,9,9,1,27,9,3,3,1,9,3,3,1,7,21,1,1
,3,3,1,1,3,9,5,3,3,9,3,9,15,1,1,1,1,3,1,3,3,3,3,3,1,36,18,6,2,3,3,6,4,4,2,2,12
,1,1,1,1,1,1,1,6,6,8,2,2,2,3,1,2,2,2,4,2,2,6,6,2,2,1,1,2,2,6,1,4,2,2,2,2,6,1,6
,6,8,6,6,1,2,2,4,2,9,9,3,9,3,3,3,1,2,25,9,5,5,7,3,1,1,9,3,9,1,3,9,1,3,3,1,1,21
,7,1,3,1,1,1,1,1,9,9,15,9,5,3,3,3,3,3,3,3,1,3,1,1,1,1,1,3,1,3,3,1,1,1,1,1,3,3,
1,3,9,3,3,9,9,3,1,1,3,1,3,1,3,1,3,3,3,3,1,3,3,1,1,1,3,1,1,1,1,3,3,1,1,3,1,1,1,
6,4,2,2,2,2,2,6,1,2,2,2,2,2,2,2,9,9,3,9,3,3,9,3,3,3,3,3,3,1,3,1,9,9,3,3,3,3,1,
1,3,1,1,1,1,3,1,1,3,3,9,3,9,3,3,1,1,1,1,1,1,1,1,1,3,1,1,3,1,7,3,1,1,3,3,3,3,5,
1,1,3,1,1,3,1,1,3,1,1,1,1,1,3,1,3,3,1,1,1,1,1,1,3,1,1,1,3,2,3,3,3,3,3,9,9,3,3,
3,3,9,3,3,1,1,1,3,3,1,3,1,1,1,3,1,1,3,1,3,1,3,3,3,1,1,3,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,3,3,3,1,1,1,1,1,1,1,1,1,3,1,1,1,1,9,3,3,3,1,3,1,1,1,3,1,1,3,1,1,1,1,1,1,
1,1,1,3,1,1,1,1,3,3,3,3,1,1,1,1,1,1,3,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,
1,1],[1801800,2520,360,1080,108,117,2520,24,24,16,24,36,24,60,12,15,3,7,4,9,9,
24,4,24,6,4,2,60,12,12,12,12,4,12,6,2,3,36,3,27,9,9,3,3,1,3,1,3,1,3,2,4,2,12,
12,12,2,2,2,6,2,2,2,3,3,4,6,1,1,3,3,1,1,1,1,3,3,1,3,3,3,1,1,3,12,2,2,2,2,2,2,3
,3,9,3,1,1,2,3,3,3,1,1,1,1,1,1,3,1,1,2,1,1,1,3,3,3,3,3,3,1,3,3,3,1,1,1,1,1,1,3
,3,1,3,1,1,1,3,3,1,1,1,1,1,1,1,1,1,3,3,3,1,1,3,1,1,1,1,1,1,1,1,1,1,3,1],[
1801800,2520,360,1080,108,117,2520,24,24,16,24,36,24,60,12,15,3,7,4,9,9,24,4,
24,6,4,2,60,12,12,12,12,4,12,6,2,3,36,3,27,9,9,3,3,1,3,1,3,1,3,2,4,2,12,12,12,
2,2,2,6,2,2,2,3,3,4,6,1,1,3,3,1,1,1,1,3,3,1,3,3,3,1,1,3,12,2,2,2,2,2,2,3,3,9,3
,1,1,2,3,3,3,1,1,1,1,1,1,3,1,1,2,1,1,1,3,3,3,3,3,3,1,3,3,3,1,1,1,1,1,1,3,3,1,3
,1,1,1,3,3,1,1,1,1,1,1,1,1,1,3,3,3,1,1,3,1,1,1,1,1,1,1,1,1,1,3,1],[1801800,
2520,360,1080,630,63,2520,24,24,16,24,36,24,60,12,60,3,12,3,3,30,63,18,18,3,24
,4,24,6,4,2,60,12,12,12,12,4,12,6,2,27,9,63,18,3,6,6,6,6,4,3,1,3,3,2,1,6,3,2,3
,2,4,2,12,12,12,2,2,2,6,2,2,2,3,3,1,3,3,3,3,27,9,6,2,2,3,2,1,6,2,3,1,15,3,1,1,
2,9,12,2,2,2,2,2,2,3,3,1,1,1,1,27,9,3,3,1,3,3,3,3,3,3,1,1,2,3,3,9,3,3,1,3,2,1,
1,3,3,3,3,3,3,3,1,1,1,1,1,3,3,3,1,1,1,1,1,3,1,1,9,3,3,1,3,1,3,1,1,3,1,1,3,3,1,
1,1,1,1,1,1,1,1,1,3,3,3,1,1,1,1,1,3,1,1,1,1,1,1,3,1,1,1,3,1,1,1],[1801800,2520
,360,1080,25200,36,9,2520,24,24,16,24,36,24,60,12,96,3,3,1,4,48,9,3,24,4,24,6,
4,2,60,12,12,12,12,4,12,6,2,3,9,3,2520,9,9,3,8,3,1,3,1,1,1,24,3,2,4,2,12,12,12
,2,2,2,6,2,2,2,3,3,1,3,3,1,1,3,24,1,1,1,24,3,1,3,1,4,1,24,4,3,12,2,2,2,2,2,2,3
,3,9,3,1,1,1,3,3,3,1,1,4,12,1,4,3,1,2,1,1,1,3,3,3,3,3,3,1,3,3,3,1,1,1,1,1,1,12
,2,2,1,3,3,3,1,1,1,3,3,1,1,1,1,1,1,1,1,2,1,3,1,3,1,3,1,1,1,1,1,1,1,3,1,1,1,3,1
,1],[1729728,36288,120960,1008,36288,1008,1008,8288,48,8064,1008,1008,1008,
8064,48,36288,1008,80,8,1008,48,8,8,1008,1008,48,24,8,1008,8,8,24,8064,1008,48
,8,8,8,8,8,24,8,1008,8],[1729728,16128,960,66528,1008,12096,160,320,1568,8,
1344,96,672,96,48,160,1008,1568,48,8,48,12096,144,144,32,16,32,68,8,8,24,24,48
,16,16,48,160,16,16,8,68,8,12,8,4,4,12,144,8,16,8,8,8,1344,16,4,4,4,12,4,16,8,
8,4,4,8,32,16,4,4,8,8,24,4,4,4,8,8,4,4,4,4],[1729728,12096,1920,66528,1008,
12096,144,144,1568,8,1344,384,48,144,192,144,1008,1344,32,16,12096,144,144,48,
16,16,68,8,8,48,24,24,48,16,8,8,144,16,16,8,24,8,16,8,4,4,144,8,8,8,4,1344,8,
16,4,4,4,4,4,16,8,8,4,4,4,48,8,4,4,4,24,4,4,4,4,8,4,4,4,4],[1729728,36288,
66528,1008,12096,3024,1008,1568,8,6720,1008,432,1008,1008,1344,48,12096,144,
144,432,144,68,8,8,1008,48,144,16,24,8,1008,144,144,8,24,20,8,12,144,48,8,8,4,
1344,24,16,4,4,4,12,144,8,8,8,4,144,8,4,4,4,24,4,8,4,4,24,4,4,4,4],[1621620,
15876,2340,1236,56700,11340,252,84,204,372,36,228,300,60,252,108,36,132,12,12,
1260,1260,780,108,540,156,84,180,12,156,12,12,36,12,12,36,36,108,36,36,12,36,
36,84,84,60,12,36,36,84,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,1260,156,36,156,36,11340,72,84,12,24,156,36,12,36,72,24,
24,84,12,12,84,36,84,36,24,12,12,12,12,12,24,12,84,12,12,12,12,12,12,12,12,12,
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,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,84,12,12,24,156
,12,12,36,24,24,84,12,12,12,12,12,12,180,156,84,12,12,24,24,12,12,84,84,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,84,12,12,12,12,12,12,12,12,12,12,
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,
12,12,12,12,84,12,12,84,12,12,12,84,24,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,36,84,12,24,84,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,1260,12,12,12,12,12,12,12,84,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,84,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,156,36,12,12,12,12,12,12,12,12,12,12,12,12,84,12,12,24
,12,12,12,84,12,12,12,12,12,12,12,12,12,12,12],[1621620,22680,1500,1890,22680,
630,780,540,540,42,18,630,42,300,30,630,180,18,60,54,420,540,60,540,18,18,630,
60,42,18,18,300,180,18,6,60,60,60,180,18,18,6,6,630,60,54,6,60,18,6,18,18,18,6
,540,6,18,60,60,180,6,6,6,60,60,180,6,18,18,18,6,18,6,60,18,6,6,6,6,6,6,6,630,
60,60,60,18,18,6,60,60,18,18,6,60,6,6,6,60,180,60,6,6,60,60,6,18,6,6,6,6,6,6,6
,6,18,6,60,18,18,6,6,60,6,6,6,6,6,60,6,6,6,6,6,6,6,60,6,6,18,6,6,6,6,6,6,6,60,
6,6,6,6,6,6,6],[1621620,7560,240,1500,1890,630,420,180,60,48,48,8,24,42,18,8,
210,54,60,16,30,90,18,24,60,18,12,420,60,16,4,4,60,12,6,8,4,6,30,12,24,60,6,2,
6,60,8,12,6,8,2,60,60,60,4,6,6,12,4,8,6,6,630,60,6,2,6,2,6,4,4,6,2,18,6,6,2,4,
6,6,4,4,2,4,4,60,60,6,6,6,4,2,2,2,6,4,2,2,4,8,60,2,2,6,2,6,6,6,2,30,24,6,4,4,6
,2,60,60,12,6,2,2,60,2,6,2,60,6,4,4,2,6,4,4,2,2,6,6,2,2,2,6,6,6,2,4,4,2,2,6,6,
2,4,6,2,2,6,6,6,4,6,2,2,2,2,6,60,6,2,2,2,2,2,2,2,2,6,4,6,6,2,2,2,6,2],[1621620
,30996,1620,1908,56700,15876,2520,396,516,756,180,468,324,132,108,216,72,108,
840,72,60,12,1260,3780,540,216,720,180,516,180,324,36,132,132,36,396,108,108,
108,108,108,36,180,72,108,108,108,108,72,840,60,72,24,24,36,36,12,60,24,12,12,
12,12,12,12,60,60,12,12,12,12,24,24,36,12,12,12,1260,108,36,108,36,11340,540,
18,36,54,60,18,48,270,180,144,60,84,72,108,48,54,18,36,18,90,6,18,6,396,72,108
,108,108,108,108,36,132,36,36,108,108,108,60,60,12,12,12,12,12,12,12,60,60,24,
24,24,12,12,12,12,12,12,12,12,12,12,12,12,12,24,36,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,24,12,12,12,12,12,12,12,90,6,18,6,36,36,36,36,108,36,36,36,36,
36,36,36,630,54,90,18,6,6,6,6,6,6,6,6,180,108,48,18,36,18,72,108,18,48,48,48,
18,18,18,54,18,60,18,36,36,36,36,18,18,18,6,18,6,6,6,18,6,6,6,6,6,18,6,6,6,6,6
,6,6,108,36,108,108,60,12,12,12,12,12,12,12,12,12,12,12,12,24,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,36,36,36,36,36,36,36,36,36,36,
36,6,6,18,6,6,6,6,6,6,6,6,6,180,36,36,36,36,18,30,18,6,18,18,6,30,6,18,18,36,
36,36,48,18,18,18,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6
,6,6,6,6,6,6,6,1260,108,12,12,12,12,12,12,12,12,12,12,36,36,36,36,36,6,6,6,6,6
,6,6,6,6,6,6,6,6,36,36,30,6,6,6,6,36,18,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6
,90,18,108,36,12,36,6,6,6,6,6,6,36,6,6,6,6,6,6,6,36,36,36,36,6,6,6,18,6,6,6,6,
6,6,36,36,6,6,6,6,6,6,6,6,6,6,6,36,6,6,6,6,6,6,6],[1621620,15876,2340,1236,
56700,15876,432,396,396,108,372,372,108,216,144,12,12,1260,1260,780,108,540,
156,42,396,372,108,108,396,108,108,144,108,108,42,144,108,108,108,42,12,6,12,
12,12,12,6,6,6,6,6,6,12,12,6,6,6,1260,156,36,156,36,11340,540,72,36,36,156,108
,36,36,36,108,36,72,12,12,396,42,144,108,108,108,108,108,108,108,108,42,6,6,6,
6,6,6,6,6,6,6,12,6,6,6,6,12,6,6,6,6,12,6,6,6,6,12,6,6,6,36,72,36,36,156,36,36,
36,36,36,36,72,12,12,6,6,12,180,156,42,36,36,36,108,36,36,36,36,42,72,36,36,36
,12,6,12,6,12,6,6,6,42,108,108,108,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,42
,36,36,36,72,36,36,36,42,36,36,36,36,36,6,6,12,6,12,6,12,6,6,6,12,180,72,36,36
,36,42,36,36,36,36,12,12,6,6,6,6,6,6,6,6,6,6,6,1260,108,6,6,6,6,6,6,42,36,36,
36,36,36,6,6,6,6,6,6,6,6,12,6,6,6,42,36,36,36,6,6,6,12,6,6,6,6,6,156,36,6,36,6
,6,6,6,6,6,36,6,6,6,36,72,36,36,12,6,6,42,36,36,6,12,6,36,6,6,6],[1621620,
18900,1620,1908,56700,15876,252,396,516,644,132,372,324,116,108,108,36,108,84,
36,4,4,1260,1260,540,180,900,108,516,12,324,12,116,116,12,396,108,108,108,108,
36,12,132,36,108,108,108,108,36,84,4,36,12,12,12,12,4,4,12,4,4,4,4,4,4,4,4,4,4
,4,4,12,12,12,4,4,4,1260,108,60,108,60,11340,540,72,36,44,36,108,132,44,60,36,
108,36,24,36,8,4,24,4,396,36,108,108,108,108,108,12,116,12,12,108,108,108,4,4,
4,4,4,4,4,4,4,4,4,12,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,4,4,4,4,4
,4,4,4,4,12,4,4,4,4,4,4,4,36,36,44,12,36,108,44,44,36,60,36,36,36,12,4,4,4,4,8
,4,8,4,4,4,300,108,12,36,36,36,108,36,36,36,24,44,12,36,36,36,36,12,24,4,4,8,4
,4,4,8,4,4,4,4,4,4,108,12,108,108,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4
,4,4,4,4,4,4,4,4,4,4,4,4,12,36,36,36,36,36,36,36,36,36,36,36,44,12,12,12,4,4,4
,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,180,36,36,44,36,36,12,36,36,36,36,12,4,8,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1260,108,4,4,4,4,4,4,4,4,4,4,12,36,
36,36,36,36,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,36,36,36,4,4,4,4,
12,4,4,4,4,4,4,4,4,4,4,108,60,4,36,4,4,4,4,4,4,4,4,4,4,36,4,4,4,4,4,36,36,44,
12,36,4,4,4,4,12,36,36,4,4,4,4,4,36,4,4,4,4,4],[1621620,15876,900,2100,56700,
11340,252,12,268,372,132,132,108,44,36,204,84,28,420,84,124,12,1260,1260,300,
252,540,156,180,12,60,36,28,20,20,4,12,12,20,12,36,28,36,36,12,20,4,12,52,40,
72,32,8,24,16,4,16,28,4,20,4,8,12,12,12,124,60,12,12,12,4,12,4,12,12,4,4,1260,
60,36,60,36,11340,72,12,24,12,12,16,60,36,44,36,24,24,16,24,32,12,12,180,4,4,
12,12,4,36,12,12,8,4,12,12,20,12,8,4,60,12,12,12,4,8,4,4,4,8,4,4,4,28,4,12,4,4
,20,12,4,4,8,4,4,4,4,12,12,4,4,12,8,8,4,4,8,12,12,4,4,12,4,4,12,4,4,4,4,12,4,4
,4,12,4,4,12,24,4,12,12,12,8,60,12,12,36,8,8,12,12,4,4,72,24,4,24,16,4,4,4,4,4
,4,180,60,12,4,4,12,8,8,4,4,24,12,12,8,12,4,4,4,12,4,4,8,8,4,4,4,4,12,4,4,12,4
,4,8,8,4,4,4,4,4,4,4,4,12,4,12,8,4,4,4,8,4,4,4,12,4,4,12,4,4,4,4,12,4,4,4,4,4,
12,12,4,4,4,4,4,4,4,4,4,4,4,4,12,4,12,4,4,4,8,12,12,12,12,12,8,4,4,4,4,4,4,4,4
,4,4,4,4,4,36,12,12,8,8,12,4,60,4,12,4,4,4,8,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4
,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1260,12,4,4,4,4,4,4,4,4,4,4,12,4,8,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,12,4,12,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,24,60,36,4,4,4,4,4
,4,4,4,4,4,4,4,12,12,12,8,12,4,8,4,4,4,4,4,12,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4]
,[1621620,15876,900,1140,56700,11340,252,12,188,372,36,132,108,28,36,108,36,28
,20,20,1260,1260,300,108,540,60,180,12,60,12,12,20,12,4,12,12,20,12,36,12,36,
36,12,20,4,12,36,4,4,4,4,4,4,4,8,4,4,20,20,4,8,8,8,1260,60,36,60,36,11340,72,
12,12,8,60,36,12,36,24,8,24,12,20,20,36,12,12,8,4,12,12,12,12,8,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,20,4,4,4,8,8,8,12,12,12,8,60,12,12,36,8,8,12,12,20,
20,4,4,180,60,12,4,8,24,12,12,12,4,4,4,12,4,20,4,8,4,4,8,4,8,12,4,4,4,4,4,4,4,
8,4,4,4,4,4,4,4,4,4,12,4,12,4,4,4,8,12,12,12,12,4,8,4,8,4,20,4,8,4,4,4,36,12,
12,8,12,4,20,4,4,4,4,4,4,4,4,8,4,4,1260,4,4,4,4,4,12,4,4,4,4,8,4,4,4,4,4,4,4,
12,4,4,8,4,4,4,4,4,4,60,36,4,4,4,4,4,4,4,4,4,12,12,12,8,20,4,4,12,4,4,8,4,4,4,
4],[1621620,12852,1620,468,56700,11340,48,68,124,12,132,156,20,144,64,84,36,12
,12,1260,1260,540,36,180,108,42,60,108,4,12,4,12,12,56,12,12,42,48,20,4,12,42,
4,2,4,4,4,4,2,2,2,2,2,4,6,12,4,12,12,12,4,12,6,6,6,1260,108,12,108,12,11340,48
,4,8,108,12,4,12,24,8,48,8,12,24,12,42,48,12,8,4,4,8,4,42,4,2,4,4,4,2,2,2,2,2,
2,2,2,2,4,2,2,2,2,4,2,2,2,2,4,2,2,2,2,12,12,4,4,4,6,6,6,48,4,8,108,4,4,12,8,8,
48,12,4,12,4,2,2,4,60,108,42,4,8,4,42,48,4,4,4,4,2,8,12,4,6,4,2,6,4,4,6,42,4,2
,2,2,2,2,2,6,4,4,2,2,2,2,2,2,2,4,4,4,2,2,2,42,4,48,4,4,4,42,8,4,4,6,4,6,4,2,12
,4,4,6,4,2,2,2,4,48,4,8,42,4,12,12,4,2,2,2,4,2,2,2,2,4,2,4,6,2,4,2,1260,2,4,2,
2,2,2,2,42,4,2,2,6,4,2,2,4,2,4,2,4,2,4,2,2,2,42,4,6,4,4,2,2,4,2,2,2,2,2,108,12
,2,2,2,2,4,2,2,2,2,4,2,2,48,4,8,12,4,2,2,42,4,4,6,4,2,2,4,2,2],[1621620,46116,
900,1620,56700,11340,7812,12,188,1572,180,228,108,28,36,420,36,28,1260,60,4,20
,1260,6300,300,180,900,108,180,1572,60,12,12,20,12,4,12,12,20,12,180,180,180,
420,12,20,4,12,36,1260,180,36,36,44,36,12,12,4,4,4,4,20,4,12,12,4,180,20,4,4,4
,4,36,12,20,12,12,1260,60,36,60,36,11340,180,12,60,60,8,900,108,60,60,180,24,8
,60,60,12,8,4,24,4,420,36,12,12,8,4,180,180,12,12,12,8,4,4,4,8,8,4,8,4,8,8,12,
4,4,180,4,20,4,4,4,4,4,4,4,36,36,36,12,20,12,12,12,12,12,12,4,4,12,12,12,4,12,
4,4,36,4,12,4,4,4,12,12,180,12,8,12,12,12,8,60,12,12,36,8,8,12,12,4,4,1260,36,
8,8,4,4,4,4,180,60,60,60,4,8,180,60,60,60,60,60,12,4,4,4,60,60,8,4,4,8,4,4,4,
24,4,4,4,4,4,4,180,12,4,4,4,4,4,8,12,12,8,4,4,12,4,36,4,12,4,4,4,4,4,12,12,12,
12,12,4,4,4,4,12,4,4,4,4,12,4,12,4,4,4,8,12,12,12,12,36,12,12,8,4,4,12,4,4,4,4
,4,4,4,4,36,12,12,8,60,180,12,12,36,8,60,60,60,60,4,4,8,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,1260,12,4,12,4,4,4,4,4,4,4,4,12,4,8,4,4,4,4,4,4,4,12,12,
12,4,4,4,12,4,8,4,60,36,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,180,12,60,36,4,12,4,4,
4,4,12,4,4,4,4,4,12,12,12,8,8,36,12,12,12,4,4,4,12,4,8,4,4,12,12,12,4,4,12,4,4
,4,4,4],[1621620,15876,900,1140,56700,11340,252,12,188,372,36,132,108,28,36,
108,36,28,4,4,1260,1260,300,108,540,60,180,12,60,12,12,20,12,4,12,12,20,12,36,
12,36,36,12,20,4,12,36,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1260,60,36,60,36,11340,72,
12,12,8,60,36,12,36,24,8,24,12,4,4,36,12,12,8,4,12,12,12,12,8,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,12,12,8,60,12,12,36,8,8,12,12,4,4,4,4,
180,60,12,4,8,24,12,12,12,4,4,4,12,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,12,4,12,4,4,4,8,12,12,12,12,4,4,4,4,4,4,4,4,4,36,12,12,8,12,4,4,4,
4,4,4,4,4,4,4,4,4,4,1260,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4
,4,60,36,4,4,4,4,4,4,4,4,12,12,12,8,4,4,4,12,4,4,4,4,4,4,4],[1621620,15876,900
,1140,56700,11340,252,12,188,372,36,132,108,28,36,108,36,28,48,4,36,1260,1260,
300,108,540,60,180,12,60,12,12,20,12,4,12,12,20,12,36,12,36,36,12,20,4,12,36,4
,4,4,4,4,4,4,36,4,4,8,8,16,20,20,1260,60,36,60,36,11340,72,12,12,8,60,36,12,36
,24,8,24,12,16,4,48,4,36,12,12,8,4,12,12,12,12,8,4,8,8,16,8,8,8,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,20,4,4,8,16,12,12,12,8,60,12,12,36,8,8,12,12,4,4,4,4,180,60,
12,4,8,24,12,12,12,4,4,4,12,4,16,4,4,8,4,4,8,4,8,12,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,8,8,8,8,12,4,12,4,4,4,8,12,12,12,12,16,8,8,4,4,4,4,4,4,4,4,36,12,12,8,16,12,
4,4,4,4,8,4,4,4,8,4,8,4,8,1260,4,4,4,4,8,12,4,8,4,4,4,4,4,8,4,4,12,4,4,4,4,8,8
,4,4,4,60,36,4,8,4,4,4,4,8,4,12,12,12,8,16,4,4,4,12,4,4,4,8,8,4,4],[1621620,
17388,540,1956,56700,13608,252,180,376,500,108,156,72,40,156,60,12,252,84,60,
20,1260,1260,180,216,720,84,336,12,72,24,40,32,16,180,36,20,60,36,12,12,12,12,
44,42,22,66,18,10,6,6,14,14,12,8,6,4,4,4,60,32,20,12,12,12,20,12,24,16,16,16,
1260,36,48,36,48,11340,270,72,12,20,6,10,36,60,36,48,30,18,10,12,28,6,90,14,30
,18,180,36,12,32,16,12,12,12,12,30,4,6,8,8,6,6,4,14,4,2,4,10,4,6,2,12,6,14,6,8
,4,2,6,2,6,6,6,4,4,2,2,2,6,6,6,2,2,10,2,2,2,6,4,4,4,12,12,16,12,12,12,8,8,2,4,
2,6,12,10,18,20,12,6,36,20,20,18,48,6,6,12,2,2,36,4,4,4,12,4,8,4,2,2,240,36,12
,6,2,18,18,6,10,6,6,2,2,24,20,12,4,12,2,2,12,12,4,4,2,18,10,10,6,8,2,8,4,2,4,6
,2,8,2,8,6,12,12,6,8,2,2,2,4,4,12,8,4,2,6,4,4,2,2,2,6,2,2,2,2,6,4,2,4,4,2,6,4,
4,6,6,10,6,2,2,2,2,4,4,12,6,18,6,6,6,6,20,12,12,12,6,4,10,6,6,2,2,8,8,2,2,2,2,
2,2,2,2,2,2,2,2,90,36,20,6,4,6,2,30,10,12,6,2,6,6,4,4,4,2,2,4,2,2,2,2,2,6,4,2,
2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,8,6,6,6,2,2,2,2,2,4,2,1260,2,6,4,2,4,2,2,2,4,4,2
,2,2,2,12,6,4,2,2,2,4,2,2,2,2,2,6,8,6,2,6,2,2,2,2,12,6,6,4,2,2,2,2,6,6,2,4,2,6
,8,2,2,2,2,2,2,2,2,2,2,2,2,12,36,48,2,6,4,2,2,2,2,2,6,2,2,4,2,2,2,2,18,20,12,6
,6,10,4,2,2,2,2,2,12,6,4,2,2,2,2,2,2,2,6,8,6,4,2,2,2,2,2,2],[1621620,29484,540
,1956,56700,13608,2520,180,376,612,156,252,72,56,264,96,12,672,120,4,12,1260,
3780,180,252,540,156,336,180,72,48,56,48,40,180,108,44,108,72,12,12,12,12,80,
630,50,102,22,30,18,18,18,26,4,8,10,4,4,4,4,32,12,4,4,12,32,24,24,16,8,8,1260,
36,24,36,24,11340,270,18,66,36,24,22,270,108,72,52,72,66,18,22,66,22,24,8,4,12
,12,4,180,72,36,48,40,36,12,12,12,2,12,2,8,8,2,2,4,10,4,2,4,6,4,6,30,4,18,26,
18,8,4,6,10,6,10,10,10,4,4,6,6,6,18,2,18,6,6,14,6,2,2,10,4,4,4,24,4,8,4,4,12,8
,8,6,4,2,90,30,4,18,12,6,36,12,12,18,24,6,6,4,2,4,2,630,90,8,2,4,4,2,2,4,2,120
,36,18,18,20,54,18,24,22,18,18,20,20,18,54,18,36,22,18,20,20,12,4,2,2,4,4,4,4,
4,2,2,12,4,2,2,4,4,2,2,4,2,2,12,36,2,8,2,2,2,4,4,4,8,4,2,18,4,4,6,6,6,10,6,6,2
,6,6,4,2,4,4,2,2,4,4,2,2,6,6,6,2,2,2,4,4,6,18,6,6,6,6,12,6,18,10,4,8,8,2,2,6,4
,2,4,2,4,4,2,2,90,12,6,18,30,18,10,18,24,8,4,18,18,18,18,20,18,6,4,4,4,2,2,2,4
,2,2,2,4,2,2,2,4,2,2,2,2,4,2,2,2,2,2,4,2,2,4,2,2,2,2,2,2,2,2,1260,6,2,4,2,4,2,
2,2,4,4,2,2,2,2,6,4,2,4,2,2,2,6,6,2,8,6,2,2,2,2,4,6,4,2,18,18,6,8,6,4,2,2,2,6,
2,4,2,2,2,2,2,2,2,2,2,2,4,2,2,90,30,36,24,2,6,2,2,4,2,2,2,6,2,4,2,2,2,2,2,18,
12,6,4,6,18,10,8,6,8,4,2,2,2,6,4,2,4,2,6,6,8,6,2,2,2,4,6,4,2,2,2,2,2,2],[
1621620,47628,540,2436,56700,13608,7812,180,456,1860,252,348,72,56,564,108,12,
1512,96,60,4,1260,6300,180,288,1080,132,456,1572,72,48,56,56,48,180,252,204,
252,468,12,12,12,12,108,1512,252,96,72,72,36,36,28,60,24,12,4,4,4,8,4,60,252,4
,4,4,8,24,72,36,28,1260,36,48,36,48,11340,270,180,96,84,18,18,900,132,108,84,
216,54,18,18,96,72,18,90,6,6,18,180,420,108,180,204,56,48,48,12,12,12,60,60,12
,12,12,4,4,4,4,4,4,4,4,60,252,12,24,24,24,4,4,4,4,8,8,8,8,8,4,4,8,4,4,8,8,60,
72,60,36,28,28,28,28,24,24,28,24,60,4,8,8,24,28,12,12,4,4,180,6,24,2,18,20,12,
6,36,20,20,18,48,6,6,12,2,2,1260,72,90,6,6,6,6,18,6,6,6,6,240,36,60,18,72,18,
54,18,18,18,18,18,18,18,180,96,72,84,60,72,60,72,18,18,18,6,6,6,6,6,6,6,18,6,
18,6,6,6,6,6,6,6,6,180,12,48,60,12,12,4,4,4,4,4,4,4,4,4,4,4,24,8,4,4,24,60,4,4
,8,8,8,8,8,8,24,24,24,24,28,12,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,4,12,4,4,4,12,6
,18,6,6,6,6,20,12,12,12,6,36,24,16,2,2,2,6,6,16,2,2,2,2,2,2,2,2,2,2,2,2,90,36,
20,6,60,18,180,24,16,48,18,6,30,2,60,72,60,60,18,18,18,18,18,6,6,6,6,6,6,6,6,6
,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,1260,4,24,8,4,4,4,
12,4,4,4,4,4,4,4,4,12,6,6,2,2,2,2,2,2,2,2,2,2,6,12,12,16,6,2,6,2,2,2,2,2,2,2,2
,12,6,30,6,2,2,2,2,60,18,18,36,12,16,6,6,2,6,2,6,6,6,6,2,6,6,6,2,2,6,6,6,6,6,6
,6,6,180,24,36,48,4,12,6,2,2,2,2,2,2,2,2,2,12,6,2,2,6,2,2,2,6,2,2,2,18,20,12,6
,6,2,36,24,16,6,16,6,2,2,2,12,6,6,2,2,2,2,2,2,6,12,16,12,6,6,2,2,2,2,2,2,2,12,
6,2,2,2,2,2,2,2,2,2,2],[1621620,29484,540,996,56700,13608,2520,180,216,452,60,
156,72,24,72,12,1092,60,124,20,1260,3780,180,108,540,60,216,180,72,24,24,180,
36,12,60,24,12,12,12,12,840,60,24,8,8,12,12,4,60,4,4,4,124,132,20,20,20,8,12,
36,36,20,16,16,1260,36,24,36,24,11340,270,18,18,20,6,270,60,48,20,48,18,18,6,
18,6,180,12,4,24,24,4,180,12,24,12,12,12,60,92,8,4,12,12,4,12,4,8,4,60,60,4,4,
4,4,4,8,12,4,4,4,4,4,12,24,16,16,16,20,8,8,12,20,16,8,12,4,8,4,90,12,6,8,18,12
,6,36,12,12,18,24,6,6,4,2,4,2,630,18,90,6,2,2,6,2,2,2,120,36,6,6,18,18,6,6,6,
18,18,6,20,6,6,6,6,2,2,24,12,12,24,4,4,6,6,6,6,2,2,4,12,6,6,4,6,6,12,12,60,4,4
,4,4,4,12,16,8,12,4,8,4,4,4,4,8,4,4,12,4,8,8,8,8,4,4,4,6,18,6,6,6,6,12,12,6,6,
2,8,8,8,6,6,2,4,2,4,2,4,4,2,2,90,12,6,30,6,2,6,60,8,6,6,6,6,6,4,6,2,2,2,2,2,2,
6,6,6,2,2,4,2,2,4,2,2,2,2,2,2,4,2,4,6,6,6,12,6,6,6,2,2,2,2,2,1260,8,4,4,8,4,4,
4,4,4,6,6,2,2,2,4,2,2,2,2,6,6,6,8,2,2,2,2,4,6,30,2,2,2,2,4,2,6,2,6,6,2,2,8,6,2
,4,2,2,2,2,2,2,2,2,2,90,6,36,24,4,6,2,2,4,2,2,2,6,4,2,2,2,2,2,2,18,12,6,12,8,6
,6,2,2,4,2,2,2,6,6,2,2,2,4,2,2,8,6,2,2,6,4,2,2,2,2,2,2],[1621620,11340,732,900
,1890,1260,420,120,180,12,60,48,16,36,28,72,60,4,30,36,12,90,54,6,420,180,8,60
,12,12,12,36,28,28,4,4,4,24,60,24,60,4,4,12,4,4,4,4,60,4,60,60,4,4,4,4,12,8,4,
4,10,6,2,630,60,18,18,6,6,2,4,6,18,2,36,28,12,12,4,12,12,4,4,60,60,12,4,4,4,4,
4,4,4,4,8,4,4,4,4,4,4,60,4,4,4,4,4,4,4,4,4,2,12,12,6,6,2,2,90,60,6,18,4,4,6,2,
60,2,12,60,4,4,4,12,4,4,4,12,4,4,4,4,4,4,4,6,6,18,4,4,6,2,2,6,2,2,4,6,12,4,4,4
,4,6,60,6,6,2,2,2,2,2,2,4,6,2,2,12,4,2,2,4,6,2],[1621620,8316,780,516,756,252,
84,24,132,12,76,48,16,36,28,420,12,12,20,210,12,36,12,84,12,8,12,12,4,12,12,28
,28,4,4,4,12,12,4,4,4,4,4,12,4,12,60,12,20,4,4,12,4,4,8,8,4,4,210,26,6,26,6,
252,12,4,12,12,6,28,4,4,8,4,4,12,12,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,12,8,4,
4,4,4,4,30,2,4,14,2,2,4,26,2,2,6,4,4,14,2,2,2,12,12,12,12,4,4,12,4,6,2,2,12,4,
4,4,4,4,4,4,4,4,4,4,4,14,2,2,14,2,2,2,14,4,2,2,2,2,2,6,2,2,4,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,4,4,12,4,4,2,2,6,2,2,4,4,4,14,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,4,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,
2,2,4,2,2,2,2,2,2,2,2,4,2,2,2,2,2],[1621620,27972,900,1140,56700,11340,2520,12
,108,324,84,132,108,28,36,120,24,28,924,108,60,12,1260,3780,300,144,360,132,60
,180,60,12,12,12,4,4,12,12,20,12,36,20,36,24,12,20,4,12,8,630,50,54,14,22,18,
18,10,10,8,8,6,8,8,60,104,12,4,4,8,20,36,24,24,4,4,1260,60,12,60,12,11340,18,
12,30,12,6,12,270,84,24,28,36,12,24,12,30,10,12,6,90,14,18,30,12,12,8,4,12,4,4
,8,4,4,30,12,6,8,4,6,6,12,4,6,4,2,12,6,2,30,2,6,2,8,8,2,2,2,6,2,2,2,2,6,6,2,6,
6,6,6,2,2,2,6,4,4,4,4,8,4,4,12,24,4,4,8,4,12,16,12,14,4,4,6,90,6,18,6,12,4,8,
60,4,4,12,8,8,12,4,4,630,54,12,4,4,2,8,4,2,4,4,60,60,6,4,2,6,4,8,2,2,18,18,6,
12,10,12,4,4,4,6,2,2,4,8,2,4,6,10,10,18,2,8,12,12,4,4,2,6,8,2,8,2,6,4,4,4,4,4,
4,4,12,4,4,4,6,4,4,2,2,2,2,2,6,4,2,4,4,4,2,2,4,2,2,8,2,2,6,2,2,2,2,2,2,2,6,2,2
,2,4,12,4,4,4,8,4,6,6,6,6,6,2,2,2,2,2,2,2,4,4,4,4,12,4,8,30,6,6,6,6,2,30,6,6,4
,2,6,12,4,4,4,2,2,2,2,2,2,4,2,6,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,6,6,8,6,2,
2,2,2,4,2,1260,4,2,2,6,2,2,4,2,4,2,2,2,2,2,2,4,4,4,4,4,4,4,2,2,2,2,4,2,2,2,2,4
,4,4,4,2,2,4,6,2,6,6,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,90,18,60,12,2,2,2,4,2,2
,2,2,2,4,2,2,2,2,2,2,12,4,8,6,6,6,6,6,2,2,2,4,2,2,4,4,4,4,4,2,2,2,2,2,2,2,2,2,
4,2,2,2,2,2,2],[1621620,12852,900,1380,56700,11340,12,140,124,108,84,60,20,36,
96,48,12,72,8,8,1260,1260,300,180,180,156,60,60,24,20,4,8,12,16,12,12,16,72,2,
8,2,2,2,2,2,12,4,2,2,2,4,4,2,2,6,6,6,6,4,4,4,4,8,4,12,8,8,4,4,4,4,2,2,1260,60,
12,60,12,11340,12,24,4,12,8,60,12,36,12,24,8,24,8,12,12,8,8,12,4,8,4,4,12,4,4,
4,4,2,4,4,4,8,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,4,4,4,4,4,4,4,6,6,4,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,24,12,4,60,4,4,12,12,8,8,72,2,2,4,2,60,60,4,12,8,4
,4,4,8,12,4,4,2,2,4,8,4,4,2,2,4,6,4,4,4,4,6,2,2,6,4,4,4,2,2,4,4,4,4,4,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,4,6,8,4,4,4,4,4,4,2,2,8,4,4,6,2
,2,2,2,2,2,12,4,8,12,4,4,6,8,2,4,4,2,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,1260,2,4,2,2,2,2,2,2,2,2,2,6,4,4,4,2,2,2,2,2,2,2,2,4,2,2,2,4,6,4,4,4,2,2,
4,2,2,2,2,2,2,2,2,2,2,2,24,60,12,2,4,2,2,2,2,4,2,2,2,2,2,12,4,8,4,4,8,2,2,6,4,
4,4,2,2,4,2,4,2,2,2,2,2],[1621620,11340,732,900,162,1260,180,120,180,44,60,48,
32,24,36,28,72,60,4,30,18,6,6,180,16,8,60,16,16,8,16,12,12,12,36,12,4,20,12,24
,24,60,12,4,4,4,4,60,4,4,4,4,12,8,10,6,2,18,12,14,2,36,12,4,8,12,12,4,8,12,12,
8,8,4,4,4,4,60,12,4,4,4,4,4,4,4,4,8,4,4,4,4,2,6,2,2,2,6,6,4,4,4,12,4,12,8,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,12,6,2,2,4,2,2,2,4,4,4,4,6,2,2,6,4,4,4,2,2,2,4,6,2,2
,2,2,4,2],[1621620,17388,1500,1380,756,13608,252,156,288,468,108,316,216,72,36
,52,252,36,60,20,210,252,36,36,12,12,36,12,84,288,12,216,72,72,108,12,4,108,12
,28,52,36,36,36,252,12,36,12,12,60,12,12,4,36,20,20,12,12,12,12,4,12,12,36,4,4
,20,12,12,4,12,12,210,50,18,50,18,252,12,4,12,12,12,4,4,12,6,108,28,4,72,36,36
,36,12,12,36,4,4,4,4,4,12,12,12,12,36,4,4,4,4,12,12,12,4,4,4,4,4,12,20,12,12,
12,12,12,4,4,4,4,4,4,4,12,4,18,26,18,2,18,50,18,18,18,18,18,18,26,2,10,2,10,2,
252,12,12,12,12,12,4,4,12,12,12,12,4,4,4,12,6,2,6,2,6,2,2,36,12,4,4,4,36,12,12
,12,12,4,4,4,4,4,12,12,4,4,4,4,4,4,4,12,4,4,12,4,14,2,18,18,18,26,18,18,18,14,
18,18,18,18,18,2,2,2,2,2,2,6,2,2,6,10,2,2,6,10,2,2,2,6,2,10,2,2,6,2,2,2,2,6,6,
10,4,4,12,12,4,4,4,12,12,4,4,4,4,4,4,2,2,6,2,2,2,2,2,2,12,4,4,4,4,4,4,12,4,4,4
,14,2,18,18,18,18,18,2,2,2,6,2,2,6,2,6,2,2,2,2,2,6,6,2,2,6,2,2,6,2,2,2,2,6,2,2
,2,2,2,10,6,6,2,2,2,2,2,6,12,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,18,2,6,2,6,
2,2,2,2,2,6,2,2,6,2,2,6,2,2,2,2,6,2,2,2,2,2,2,2,12,4,4,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,6,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2],[1621620,12852,900,420,56700,
11340,12,60,124,12,84,60,4,36,12,420,12,128,16,1260,1260,300,36,180,60,60,60,4
,4,12,12,12,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,124,60,4,12,12,16,4,12,4,8,4,4,4,4,2
,2,1260,60,12,60,12,11340,12,4,60,12,4,12,12,180,4,8,12,12,8,12,4,60,4,4,4,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,4,4,12,4,4,4,4,6,6,4,12,4,2,2,2,2,2
,2,12,4,12,4,60,4,4,12,12,8,8,2,2,2,60,60,4,12,2,2,12,4,4,12,8,4,4,2,2,6,4,4,4
,4,4,4,6,2,2,6,4,4,12,4,2,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,4,6,12,
4,4,4,4,4,4,4,2,2,8,4,4,6,2,2,2,2,2,2,12,4,60,4,6,8,2,2,4,4,4,4,4,4,2,2,2,2,2,
2,2,2,2,2,1260,2,4,2,2,2,2,2,6,4,4,4,2,2,2,2,2,2,2,2,4,2,2,2,6,4,4,2,2,4,4,2,2
,2,2,2,2,2,60,12,2,4,2,2,2,2,4,2,2,2,12,4,12,4,8,2,2,6,4,4,2,2,4,2,4,2,2,2],[
1621620,8316,780,516,756,252,84,24,132,12,76,48,16,36,28,72,132,12,210,12,36,
12,84,12,8,12,12,4,12,12,28,28,4,4,4,12,12,4,4,4,4,4,12,4,132,12,12,12,12,4,12
,8,4,4,4,210,26,6,26,6,252,12,4,36,4,6,28,4,4,12,8,4,4,12,12,4,4,4,4,4,4,4,4,4
,4,4,12,4,4,4,4,4,12,4,4,4,12,4,4,4,4,6,12,2,14,2,2,4,26,2,2,6,4,4,14,2,2,2,12
,12,12,12,4,4,12,4,6,2,2,12,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,14,2,2,14,2,2,2
,14,4,2,2,2,2,2,6,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,12,4,4,6,2,2
,2,2,4,4,4,4,4,14,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,12,4,4,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2
,2,2,2,2,2,2,2,4,2,2,2,2,2,2],[1621620,17388,1500,1380,756,4536,756,180,144,
420,60,220,168,56,108,60,252,36,60,20,210,252,36,36,12,12,36,12,168,96,36,72,
24,40,60,36,12,60,36,56,60,20,20,20,252,12,36,12,12,60,12,12,4,48,20,20,16,16,
16,36,12,36,12,48,12,12,20,12,12,4,16,16,210,50,18,50,18,108,18,4,12,12,12,4,4
,12,6,36,56,12,24,12,20,12,12,12,24,4,4,4,4,4,8,8,36,12,48,12,12,12,12,16,12,
12,4,4,4,4,4,16,20,16,16,16,16,36,12,12,12,12,12,12,4,16,12,6,30,10,6,14,50,10
,10,6,18,14,14,30,6,10,2,10,2,36,6,18,4,6,2,6,12,2,6,4,6,2,6,2,6,2,2,12,36,12,
12,12,24,12,8,8,8,4,4,4,4,4,12,12,4,4,4,4,4,12,4,16,4,4,8,12,28,6,6,10,6,30,10
,10,10,28,6,14,6,6,10,6,6,6,6,6,2,8,6,2,8,10,2,2,8,10,6,2,2,8,6,10,2,2,8,2,2,2
,2,8,8,10,2,18,6,2,2,2,6,2,4,3,3,6,2,2,2,2,2,2,12,4,4,4,4,4,12,8,4,4,4,28,6,6,
10,6,6,6,6,6,2,8,6,2,8,6,8,2,6,6,2,2,8,8,2,2,4,2,2,4,6,2,2,2,4,6,6,6,6,6,10,8,
8,2,2,2,2,6,8,18,6,6,2,6,2,2,6,3,1,3,1,1,3,1,3,1,1,2,4,6,6,4,2,4,2,2,2,6,2,8,2
,2,4,2,2,4,2,2,2,2,4,6,6,2,2,2,6,6,6,2,2,2,6,2,2,3,1,1,1,1,3,1,1,1,6,4,2,2,2,2
,2,2,2,2,2,2,3,1,3,1,3,1,1,1,2,3,1,1,1,1,1,1,1],[1621620,17388,540,1188,22680,
4536,756,36,96,420,60,156,72,24,108,12,1092,108,92,20,210,1008,72,288,72,96,36
,72,24,24,36,36,12,60,36,12,12,12,12,252,12,36,12,12,12,12,4,12,4,4,4,92,172,
20,20,20,8,24,60,36,20,16,16,210,18,18,18,18,2268,108,24,12,36,24,12,4,216,16,
24,8,15,36,12,24,12,12,12,12,52,12,4,12,12,4,12,4,8,4,12,12,4,4,4,4,4,12,12,4,
4,4,4,4,24,36,16,16,16,20,8,8,12,20,24,12,12,4,8,4,60,4,12,4,6,6,10,6,6,18,10,
10,6,18,6,6,6,6,2,2,2,2,126,18,36,4,4,4,48,36,12,4,24,4,16,12,8,4,15,3,3,3,3,
12,12,4,4,4,4,4,12,16,8,12,4,8,4,4,4,4,8,4,4,12,4,8,8,8,12,4,4,4,6,6,6,6,6,6,6
,6,6,6,6,6,10,6,6,6,4,16,12,8,4,4,4,4,4,4,4,8,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,18,12,6,6,6,2,6,36,8,6,4,12,8,4,4,4,4,4,15,3,3,3,3,1,3,1,1,1,1,3,3,1,8
,4,4,8,4,4,4,4,4,6,6,6,6,6,6,4,4,4,4,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,6,6
,8,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,2,2,2,2,4,2,6,2,8,6,4,3,3,3,3
,1,1,3,1,1,1,1,3,3,1,1,1,1,1,4,6,6,4,4,2,2,2,4,4,4,2,4,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,6,4,2,2,2,2,2,3,3,3,3,3,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,4,2,2,2,2
,2,2,2,2,2,3,3,3,1,1,1,1,1,1,1,1,1,1,1,2,3,1,1,1,1,1,1,1],[1621620,18900,756,
660,5670,2520,60,40,420,36,84,48,16,96,12,48,100,20,5,630,126,18,90,30,420,8,
20,36,36,36,96,12,4,4,4,16,24,20,8,4,4,4,4,20,40,4,4,20,4,8,8,8,8,8,5,1,1,18,6
,6,6,4,90,30,6,6,18,12,4,6,6,6,4,10,12,10,5,96,36,36,4,20,8,8,4,4,4,4,20,8,4,4
,4,4,4,4,4,4,8,4,4,8,8,4,4,1,1,1,4,4,2,2,2,2,6,6,2,4,18,6,6,6,6,6,6,2,2,2,6,6,
4,2,2,4,10,2,2,4,12,2,2,2,4,2,2,2,4,2,2,1,5,1,36,8,4,4,4,20,4,4,4,4,8,4,4,4,4,
4,1,6,6,6,6,6,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,
1,1,1,4,8,4,4,4,1,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,4,1,1,1,2,2,2,2,2,2,
2,1,1,1,1,2,1,1,1,1,1,1,1,1],[1601600,20160,640,22400,560,80,104,1680,160,144,
2240,280,40,32,8,4,8,480,64,40,24,4,48,560,32,32,32,8,8,8,26,8,8,8,2,24,12,48,
16,240,40,16,32,8,280,8,2,40,80,8,8,8,16,8,4,4,4,2,2,2,2,4,2,24,4,4,4,16,8,32,
8,8,8,8,8,2,2,2,8,2,2,2,2,24,6,40,40,8,12,4,4,8,16,8,4,2,2,2,8,4,4,2,2,4,2,2,2
,2,12,4,8,8,2,2,2,2,2,8,8,4,4,2,8,4,4,2,2,4,2,4,4,2,8,2,2,2,4,2,4,2,2,2,2],[
1601600,40320,960,22400,560,80,104,6720,960,4480,560,192,48,16,8,960,48,12,960
,560,32,32,32,8,8,8,26,8,8,8,2,24,12,192,960,192,48,560,48,8,8,8,8,8,16,16,160
,32,16,8,6,4,2,48,12,192,32,8,8,8,8,8,2,2,2,8,2,2,2,2,6,160,48,8,16,48,48,32,8
,2,16,8,8,8,2,2,4,16,8,6,48,8,8,2,2,2,2,2,32,16,8,16,8,8,4,2,2,16,2,8,2,8,8,2,
8,4,2,2],[1601600,640,960,22400,560,80,104,64,32,192,16,48,4,16,8,16,12,4,16,
560,32,32,32,8,8,8,26,8,8,8,2,4,1,4,8,4,4,48,4,8,8,8,8,8,16,16,16,4,4,4,4,4,6,
4,2,4,1,4,32,8,8,8,8,8,2,2,2,8,2,2,2,2,1,8,4,4,4,4,4,4,4,2,4,4,16,8,8,8,2,2,4,
4,4,1,4,8,8,2,2,2,2,2,4,4,4,4,8,4,4,2,2,4,2,1,1,4,4,2,4,1,1,1],[1601600,960,
22400,560,80,104,32,192,48,16,8,12,32,560,32,32,32,8,8,8,26,8,8,8,2,48,8,8,8,8
,8,16,16,6,4,2,2,32,8,8,8,8,8,2,2,2,8,2,2,2,2,8,8,8,2,16,8,8,8,2,2,4,8,8,8,2,2
,2,2,2,8,4,2,2,2,2,8,2,8,2],[1601600,960,22400,560,80,104,32,192,48,16,8,12,32
,560,32,32,32,8,8,8,26,8,8,8,2,48,8,8,8,8,8,16,16,6,4,2,2,32,8,8,8,8,8,2,2,2,8
,2,2,2,2,8,8,8,2,16,8,8,8,2,2,4,8,8,8,2,2,2,2,2,8,4,2,2,2,2,8,2,8,2],[1601600,
2240,960,320,39200,1400,104,122,2240,64,64,160,20,16,12,10,10,80,128,20,26,8,
12,8,64,1400,8,104,104,32,32,32,50,32,8,2,2,2240,80,26,8,80,26,8,4,4,16,16,4,4
,10,10,4,8,8,4,20,12,16,4,4,8,8,4,4,4,4,4,10,8,8,8,8,8,2,2,2,64,4,4,16,4,10,
104,32,32,32,8,2,2,2,2,2,2,2,2,2,80,8,8,26,8,8,8,8,8,8,8,8,8,8,8,8,8,8,4,4,4,4
,4,4,4,4,2,2,2,2,8,4,8,4,4,4,2,2,2,2,2,8,4,4,2,2,2,2,2,2,8,4,16,4,4,4,4,4,10,4
,4,4,4,2,32,2,2,2,2,2,2,8,8,8,8,8,8,8,8,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,4,2,
2,2,8,4,4,4,2,2,2,4,4,4,2,2,2,2,2,8,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2],[1601600,
2240,1920,39200,1400,104,122,2240,48,48,480,144,56,32,80,26,8,6,48,1400,8,104,
104,32,32,32,50,32,8,2,2,2240,80,26,8,80,26,8,6,16,8,8,16,8,8,6,144,32,32,32,
32,32,56,56,6,2,2,8,8,8,8,2,48,16,8,8,16,8,8,6,104,32,32,32,8,2,2,2,2,2,2,2,2,
2,80,8,8,26,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,2,2,2,8,8,8,2,8,2,56,32,32,32,2,2,2,
2,2,16,8,8,8,8,8,8,8,8,8,8,6,2,2,8,8,8,32,2,2,2,2,2,2,8,8,8,8,8,8,8,8,8,8,2,2,
2,2,2,2,2,2,2,2,2,32,2,2,2,2,8,2,8,8,8,8,8,8,2,2,2,2,8,2,2,2,2,2,2,2,2,2,8,2,2
,2,2,2],[1601600,20160,640,22400,560,80,104,1680,160,560,2240,280,40,32,32,480
,64,40,24,4,80,560,32,32,32,8,8,8,26,8,8,8,2,24,12,48,16,240,40,16,32,8,280,8,
32,40,80,8,8,8,16,8,4,4,4,2,2,2,8,24,4,8,8,8,16,32,8,8,8,8,8,2,2,2,8,2,2,2,2,
280,6,40,40,8,12,4,4,8,16,8,4,8,2,2,8,2,2,8,4,4,2,2,8,2,2,2,40,2,4,8,8,2,2,2,2
,2,8,8,16,4,4,4,2,8,4,2,2,2,8,4,2,8,2,2,2,4,2,8,2,2,2],[1601600,2240,640,39200
,1400,104,122,2240,16,16,40,64,16,2,8,80,64,40,26,8,4,16,1400,8,104,104,32,32,
32,50,32,8,2,2,2240,80,26,8,80,26,8,16,4,4,4,2,4,2,16,4,4,16,2,40,16,16,16,4,4
,4,4,4,4,2,2,8,8,8,8,4,2,16,4,2,4,2,16,4,4,104,32,32,32,8,2,2,2,2,2,2,2,2,2,80
,8,8,26,8,8,8,8,8,8,8,8,8,8,8,8,4,4,4,4,2,4,4,4,2,2,4,2,8,16,2,4,4,2,4,4,4,2,2
,2,2,2,4,2,16,4,4,4,4,4,4,2,4,4,4,2,4,32,2,2,2,2,2,2,8,8,8,8,8,8,8,8,2,2,2,2,2
,4,4,2,2,2,2,2,2,4,2,2,2,2,4,4,4,2,4,4,4,2,2,2,2,2,8,2,2,2,2,2,2,2,2,2,4,2,2,2
,2,2],[1544400,2160,2160,720,54,2160,360,144,144,216,72,18,18,54,270,360,144,
72,72,72,72,9,54,18,18,18,54,18,72,72,72,9,9,9,18,18,18,18,72,9,9,9,45,18,9,9,
9,9,9,9],[1544400,17280,720,21600,1260,432,17280,420,240,240,240,36,12,420,36,
420,12,720,36,60,240,240,12,12,420,36,12,12,12,12,12,144,2160,420,90,48,72,12,
12,720,48,36,12,12,48,4,240,12,12,12,12,12,12,48,60,12,12,420,30,12,2,120,12,6
,12,48,4,12,48,36,18,4,120,12,12,6,12,12,12,12,2,2,12,12,48,6,12,4,4,4,12,2,12
,12,6,30,4,12,2,2,6,2,2],[1544400,2160,720,240,21600,1260,432,2160,80,48,48,48
,16,40,8,60,36,96,36,60,48,16,16,40,8,8,8,8,8,8,144,2160,20,36,8,12,36,32,12,
12,16,4,16,8,8,8,8,24,60,12,12,20,4,48,4,12,16,4,8,36,8,4,16,4,4,4,4,8,12,8,12
,4,4,4,4,8,4,10,4,4,2,4,2,2],[1544400,17280,720,1440,216,15120,480,120,240,32,
72,12,420,36,420,12,72,60,120,16,24,12,420,36,12,12,8,12,8,72,480,90,54,24,8,6
,36,24,12,4,12,4,12,8,12,8,4,4,4,12,60,12,12,420,30,12,2,24,6,4,12,4,4,18,24,4
,12,6,8,8,6,4,12,2,2,4,12,12,6,4,4,4,4,4,2,4,8,6,30,4,2,4,2,6,2,2],[1544400,
2160,240,80,21600,1260,432,2160,40,16,16,24,8,32,20,36,12,8,60,40,16,8,8,8,8,
144,2160,10,36,4,6,36,16,4,4,4,8,8,8,8,60,12,12,16,10,2,2,4,4,2,16,4,4,8,36,4,
4,8,2,2,2,2,5,12,4,4,4,4,4,8,2,2,1,2,5,2,2,1,4,2,1,2,1,1,1,1,1],[1544400,2160,
720,1520,5400,1260,108,80,48,32,48,48,16,40,8,120,120,60,48,36,16,12,6,56,80,
36,2,60,8,16,40,8,8,8,4,8,8,36,20,2,8,12,12,24,8,8,8,8,12,8,4,2,4,4,4,16,4,4,8
,4,8,4,12,2,12,6,6,4,2,60,3,3,20,4,2,2,4,4,4,8,4,4,2,4,4,2,2,2,4,4,2,6,4,2,2,2
,2,2,16,1,3,4,1,1,4,4,2,2,2,2,2,2,3,2,2,2,2,4,1,2,3,1,1,2,10,1,4,2,1,2,1,1,1,1
],[1441440,60480,480,105840,2520,72,30240,8400,240,480,3360,6720,15120,2520,
120,24,24,1800,120,240,480,3360,240,240,2520,72,72,6720,30240,840,360,24,360,
24,1800,120,24,24,360,24,120,240,2520,24,120,360,24,24,72,720,3360,840,360,120
,24,360,24,240,120,24,24,24,24,24,72,120,840,360,24,360,120,24,240,120,24,72,
24,6720,840,120,360,24,120,24,24,24,24,72,24,24,720,120,24,24,120,24,24,840,
120,24,120,24,24],[1441440,30240,480,480,105840,2520,72,30240,840,96,96,72,840
,72,6720,6720,840,80,120,24,16,8,360,192,24,96,24,840,72,24,24,24,2520,72,72,
6720,30240,840,360,24,360,24,24,24,48,8,24,8,24,120,24,840,16,8,120,24,48,24,
16,8,8,48,840,840,72,24,8,8,8,8,96,24,24,8,24,8,8,72,120,840,360,24,24,24,8,8,
24,24,8,24,16,8,6720,840,8,8,8,24,24,24,24,8,8,8,24,48,24,8,8,120,24,8,840,8,8
,24,24,8],[1441440,30240,480,480,100800,882,36,72,30240,840,96,96,72,840,72,
6720,6720,840,30,96,30,24,12,192,18,24,96,24,840,72,24,24,24,840,24,12,18,6,
6720,30240,840,18,6,18,6,18,48,6,6,24,18,6,12,24,840,24,12,24,24,12,12,6,6,6,6
,48,840,840,72,24,18,6,18,6,96,24,6,6,6,6,6,6,12,840,18,6,24,24,12,6,24,24,6,6
,6,6,6720,840,12,18,6,24,6,6,6,6,6,6,6,48,24,6,6,12,6,6,840,12,6,24,6,6],[
1441440,1440,5040,72,72,96,80,80,16,10,48,24,4,8,48,12,32,16,8,16,24,18,6,2,2,
2,8,16,8,4,8,8,10,8,24,2,6,6,4,2,2,2,2,2,4,2,8,4,8,4,6,2,8,2,4,2,2,4,6,2,2,2,2
,4,2,2,2,2,2,2,2,2,2,2,2,2,2],[1441440,30912,480,105840,2520,72,30240,840,80,
160,24,840,24,6720,6720,840,96,8,528,48,24,24,80,8,840,24,8,8,8,2520,72,72,
6720,32,32,30240,840,360,24,360,24,24,16,8,32,8,24,24,120,8,840,8,120,24,24,8,
24,24,24,32,840,840,24,8,80,8,8,8,8,8,24,24,8,8,8,72,120,8,8,840,8,360,24,8,8,
8,8,8,8,24,24,8,6720,840,8,24,24,24,8,8,8,8,24,8,8,32,8,8,8,120,24,8,840,8,8,8
,24,8],[1441440,16128,1440,60480,1764,72,10080,240,480,168,72,1120,1792,84,288
,60,12,960,12,240,24,24,1764,72,72,1120,48,48,10080,240,12,240,12,96,48,12,12,
16,48,40,4,24,84,60,12,12,160,24,4,12,48,8,8,240,48,12,8,72,40,4,12,4,12,4,84,
12,240,12,12,12,24,4,12,12,12,8,4,24,24,12,4,1120,12,4,12,48,12,12,12,4,4,4,24
,12,4,4,48,12,40,4,4,4,4,12,4,8,12,4,4,12,4,4,4],[1441440,16128,1440,10080,504
,36,72,280,480,72,168,72,1120,672,224,144,24,12,12,240,48,24,24,16,84,24,12,18
,6,1120,48,48,280,16,4,16,4,48,16,24,4,4,12,40,4,8,84,12,4,6,2,4,8,12,8,12,48,
8,8,24,8,4,4,6,40,4,12,4,12,4,84,12,16,4,4,4,4,4,4,12,4,8,4,8,6,2,2,140,12,4,4
,8,4,12,4,4,4,4,6,4,2,2,12,4,8,2,4,4,4,4,2,4,4,2,4,4,2,2,2],[1441440,32256,
1440,105840,2520,72,30240,840,240,480,72,840,72,6720,6832,840,360,72,12,840,24
,240,24,840,72,24,24,24,2520,72,72,6720,96,96,30240,840,360,24,360,24,120,24,8
,24,8,24,120,24,840,72,12,12,160,24,4,24,96,840,840,72,24,8,4,8,4,240,24,24,4,
24,4,4,72,120,12,12,840,24,360,24,24,4,24,24,24,4,24,12,4,6720,840,12,8,4,24,
24,24,4,24,24,4,4,96,24,4,4,120,24,4,840,12,4,24,24,4],[1441440,32256,1440,
100800,882,36,72,30240,840,240,480,72,840,72,6720,6720,854,288,30,12,12,480,42
,240,24,840,72,24,24,24,840,24,12,18,6,6720,96,96,30240,840,18,6,18,6,96,6,30,
2,2,6,12,24,840,24,4,6,2,4,8,12,8,24,96,840,840,72,24,2,2,2,2,240,24,6,2,6,2,2
,6,12,4,4,840,24,18,6,4,4,24,24,24,2,6,2,2,6720,840,4,2,2,6,6,6,2,24,6,2,2,96,
24,2,2,12,6,2,840,4,2,24,6,2],[1441440,16128,1440,60480,1764,72,10080,240,480,
48,32,1120,1792,84,288,60,12,960,12,240,32,16,1764,72,72,1120,48,48,10080,240,
12,240,12,96,48,12,12,16,48,40,4,16,84,60,12,12,160,24,4,12,16,48,240,48,12,16
,72,40,4,12,4,12,4,8,4,240,12,12,12,24,4,12,12,12,16,4,16,24,12,4,1120,12,4,12
,48,12,4,4,4,4,4,8,12,4,4,48,4,40,4,4,4,12,4,16,12,4,4,4,4,4,4],[1441440,12096
,480,75600,4536,288,12096,160,160,160,1120,1120,48,864,48,72,160,160,4536,288,
288,1120,16,16,12096,864,160,72,16,864,72,16,16,16,16,16,100,16,160,100,12,16,
72,16,16,16,160,16,16,16,16,288,100,16,4,4,864,72,72,72,16,72,4,4,16,16,160,16
,160,16,16,16,1120,16,4,4,4,4,16,4,16,4,16,72,16,16,4,4,160,16,16,16,16,100,16
,4,4,16,4,4,16,16,16,4,4,4],[1441440,12096,480,25200,756,144,180,2016,280,80,
160,24,8,1120,140,4,624,48,36,60,80,8,8,336,60,48,72,24,1120,16,16,2016,280,24
,36,40,12,16,8,8,24,36,40,12,24,16,16,8,8,4,4,100,16,8,20,4,8,48,12,16,16,16,
80,8,8,8,8,8,8,4,24,100,16,4,4,24,36,12,12,12,40,12,16,16,16,8,12,16,4,4,16,16
,8,8,8,8,8,8,8,8,140,16,4,4,4,4,4,4,8,8,4,16,12,16,4,16,4,4,8,8,8,8,8,8,8,20,8
,4,4,4,4,4,8,8,4,4,4,4],[1441440,16128,2080,60480,1764,72,10080,400,480,48,72,
48,1120,1792,84,40,384,24,60,12,960,64,40,12,4,240,24,48,24,24,1764,72,72,1120
,48,48,10080,240,12,240,12,16,12,40,96,96,12,12,16,12,12,16,4,12,12,40,4,24,84
,24,60,12,12,40,160,24,24,24,4,4,4,12,4,16,48,48,12,12,12,240,48,12,8,12,12,12
,12,72,40,4,12,4,12,4,240,12,12,12,40,12,24,24,4,4,4,4,12,12,12,4,12,4,4,12,8,
4,24,12,24,24,12,4,4,1120,4,4,12,4,12,12,12,12,48,12,12,12,4,12,12,4,4,4,24,12
,4,4,4,4,16,48,4,12,12,40,4,4,4,12,12,4,8,4,12,4,4,4,12,4,4,4,4,4],[1441440,
56448,1440,60480,1764,72,10080,10080,240,1440,1680,1120,10752,1764,288,60,12,
1920,60,240,1440,1680,240,240,1764,72,72,1120,48,48,10080,240,12,240,288,12,
1920,288,48,12,60,240,48,40,4,240,1764,60,12,12,360,72,12,60,240,48,1680,240,
240,48,240,48,288,12,48,48,48,72,40,4,12,4,12,4,240,12,12,12,360,60,12,12,60,
12,60,12,48,4,240,48,72,12,12,1120,40,12,12,4,240,12,48,12,48,12,12,60,12,12,4
,4,4,72,12,12,12,240,48,12,48,12,40,4,4,4,12,12,12,48,40,12,4,12,4,12,4,12,4,4
,4],[1441440,16128,640,1440,10080,504,36,72,280,480,128,72,32,48,1120,672,224,
144,32,24,12,12,12,240,48,16,4,24,32,16,8,24,84,24,12,18,6,1120,48,48,280,16,4
,16,4,8,48,16,16,8,16,24,4,4,12,12,40,4,8,84,12,12,4,6,2,4,8,8,12,8,8,2,6,12,4
,16,48,16,4,4,4,24,8,8,4,4,12,4,6,40,4,12,4,12,4,16,4,4,4,8,4,8,4,2,4,4,4,12,4
,4,4,4,12,8,4,8,4,6,6,2,2,2,140,4,4,12,4,4,4,4,4,8,4,12,4,4,4,4,4,4,4,6,4,2,2,
2,2,8,12,4,4,4,8,2,4,4,4,4,2,4,2,4,2,2,4,4,2,2,2,2,2],[1441440,16128,2080,
10080,504,36,72,280,160,480,120,72,1680,1120,672,224,120,176,24,24,12,12,240,
64,40,48,4,24,24,80,48,240,84,24,12,18,6,1120,48,48,280,16,4,16,4,16,12,40,48,
16,36,12,16,16,24,16,4,4,240,48,40,4,24,84,24,12,4,6,2,4,8,8,8,12,12,8,2,6,12,
4,240,48,80,16,16,16,24,8,8,4,12,8,48,8,6,40,4,12,4,12,4,16,4,4,4,8,8,12,4,4,4
,4,2,4,12,4,4,4,4,4,12,48,4,24,8,6,6,2,2,2,140,40,12,12,4,16,4,4,8,8,4,12,4,4,
4,4,4,4,4,6,4,2,2,2,2,40,12,12,8,4,8,2,4,4,4,4,2,12,8,4,2,4,4,4,2,4,2,2,2],[
1441440,40320,160,105840,2520,72,30240,3360,80,160,1680,6720,8960,840,40,960,
16,40,48,4,80,160,1680,80,80,2520,72,72,6720,30240,840,360,24,360,96,16,8,480,
40,48,120,80,840,40,200,24,8,4,4,48,4,240,1680,840,40,80,40,8,4,16,8,48,8,8,72
,120,840,360,24,40,40,24,4,80,40,8,24,8,4,6720,840,12,40,48,24,4,8,4,24,4,4,
240,40,8,4,120,24,4,840,12,4,40,24,4],[1441440,30240,160,160,100800,882,36,72,
30240,840,32,32,24,840,24,6720,6720,840,32,8,64,10,18,10,4,4,32,8,840,24,8,8,8
,840,24,12,18,6,6720,30240,840,18,6,18,6,6,2,2,16,8,6,6,12,8,840,8,8,8,12,6,2,
2,2,4,4,16,840,840,24,8,32,8,2,2,2,2,6,6,2,2,2,6,12,840,18,6,8,8,4,2,8,8,2,6,2
,2,6720,840,4,8,6,6,6,2,2,2,6,2,2,16,8,2,2,12,6,2,840,4,2,8,6,2],[1441440,
22848,2400,60480,1764,72,10080,840,240,800,216,280,72,1120,2912,84,528,116,24,
1200,96,24,36,240,72,280,72,24,24,24,1764,72,72,1120,48,48,10080,240,12,240,48
,12,12,32,80,176,48,48,64,12,20,24,28,16,4,16,4,40,4,24,84,116,24,24,200,24,24
,8,8,36,24,24,40,24,48,280,72,16,4,16,8,4,4,240,48,12,24,16,12,16,4,8,4,8,4,72
,40,4,12,4,12,4,240,12,12,12,16,48,8,8,12,12,20,12,28,24,24,8,8,8,8,4,4,8,4,24
,8,4,24,24,8,24,8,1120,8,4,4,4,12,4,16,4,4,4,12,12,16,4,48,12,8,8,4,4,4,4,4,4,
4,4,12,24,8,8,8,8,40,24,48,4,4,8,4,4,40,4,4,4,4,12,4,4,8,8,8,4,12,4,4,4,4,4,4,
4,4,4,4,4,4],[1441440,20160,2400,60480,1764,72,10080,504,400,800,216,72,1120,
2016,84,432,76,12,1488,96,60,400,72,72,1764,72,72,1120,80,80,10080,240,12,240,
144,12,32,16,48,144,64,48,64,12,12,16,16,40,4,72,84,76,12,12,204,36,24,12,16,
60,24,80,24,400,16,16,64,12,24,16,16,16,72,40,4,8,16,4,16,4,8,240,12,12,12,4,
12,20,32,4,8,4,12,12,12,16,24,4,12,24,4,72,16,24,16,12,12,1120,16,8,4,8,8,8,12
,64,12,4,4,4,4,8,16,4,4,4,4,4,4,8,12,8,4,4,8,80,8,4,16,40,4,4,4,4,4,4,12,4,4,
24,16,4,8,4,4,4,8,4,4,4],[1441440,16128,960,1504,60480,1764,72,10080,256,480,
64,160,32,32,1120,1792,84,320,4,288,12,60,8,12,960,64,4,12,12,4,240,64,16,32,
16,1764,72,72,1120,64,48,64,48,10080,240,12,240,12,16,4,4,64,4,96,48,48,16,4,4
,4,12,4,4,12,12,4,40,4,16,84,60,8,12,12,4,160,12,24,4,4,4,8,8,12,4,16,64,48,16
,16,240,64,4,4,48,16,4,12,4,4,4,4,72,40,4,4,4,12,4,4,12,4,4,240,12,12,12,4,12,
4,24,4,8,4,4,4,4,12,12,12,4,4,4,4,4,16,4,16,4,24,8,12,4,4,1120,12,4,4,4,4,4,4,
4,12,48,4,4,12,4,4,4,4,4,4,4,4,4,4,4,8,12,4,4,4,4,64,48,4,4,4,40,4,4,4,4,4,4,
12,4,4,16,12,4,4,4,4,4,4,4,4,4,4],[1441440,10080,480,1312,60480,1764,72,10080,
32,32,32,96,24,96,1120,1120,160,22,288,6,12,56,4,12,240,160,22,12,6,4,32,8,96,
8,8,1764,72,72,1120,32,32,10080,240,12,240,12,24,6,2,2,32,16,6,4,32,16,2,2,4,4
,8,2,4,2,6,16,4,6,40,4,8,12,56,4,12,12,22,40,6,24,12,12,4,4,4,8,4,4,12,4,32,32
,96,6,16,4,6,16,2,2,2,4,32,2,2,8,2,2,2,6,2,2,2,72,40,4,2,2,2,2,240,12,12,12,4,
8,4,2,4,4,2,2,2,2,2,4,12,2,4,2,6,2,4,2,2,2,6,4,8,4,2,8,2,2,12,8,4,12,4,4,1120,
2,8,4,2,2,2,6,16,4,4,4,6,6,2,2,2,2,2,2,2,6,2,4,2,2,4,2,2,4,12,4,2,2,4,2,2,32,
32,2,2,2,2,2,2,40,4,4,2,2,6,2,4,2,8,2,8,4,2,2,2,2,2,4,2,2,4,2,2,2],[1441440,
32256,1440,60480,1764,72,10080,2520,80,480,216,840,72,1120,5712,840,312,64,12,
984,144,60,80,72,840,72,24,24,24,1764,72,72,1120,16,16,10080,240,12,240,72,12,
48,8,360,104,8,72,48,24,12,120,16,4,24,40,4,24,840,64,12,12,162,42,24,12,16,60
,120,24,16,840,120,72,16,4,120,8,8,16,4,4,80,8,8,8,12,24,24,4,4,8,72,40,4,4,2,
2,4,240,12,12,12,40,24,20,20,8,4,12,24,12,18,2,14,6,4,8,4,24,8,4,8,24,16,12,12
,1120,20,8,4,6,2,4,120,16,4,4,4,24,6,8,2,8,6,8,2,6,2,4,2,2,4,2,2,8,12,8,4,4,8,
120,24,16,2,4,4,2,8,2,40,4,4,2,2,6,4,4,2,8,20,8,4,2,6,4,2,2,4,2,4,4,2,2,2],[
1441440,16800,480,352,60480,1764,72,10080,840,96,32,40,280,24,1120,2240,160,22
,48,6,12,4,480,64,22,24,36,6,4,32,24,280,24,8,8,8,1764,72,72,1120,32,32,10080,
240,12,240,48,12,16,12,10,4,6,2,80,64,16,10,16,2,6,4,6,16,4,6,40,4,8,12,4,22,
80,6,12,12,8,4,4,4,4,36,24,24,4,40,8,32,280,24,6,6,2,32,2,2,6,16,6,2,16,4,6,2,
2,2,2,2,72,40,4,2,2,2,2,240,12,12,12,4,4,12,12,4,4,10,8,4,4,4,4,4,8,6,2,4,6,4,
8,4,8,2,2,24,12,4,8,4,1120,2,4,4,2,2,2,6,16,4,6,6,2,2,4,2,6,2,2,6,4,4,2,2,4,2,
2,12,8,4,4,4,4,40,8,32,2,2,2,2,2,40,4,4,2,2,6,4,4,2,8,2,2,4,4,2,2,2,2,4,2,2,4,
2,2,2],[1441440,38976,480,60480,1764,72,10080,5040,80,480,1120,1120,6832,840,
72,8,1224,48,24,84,80,480,1120,80,80,1764,72,72,1120,16,16,10080,240,12,240,
216,12,36,48,8,760,72,8,8,120,40,4,40,4,80,840,8,202,18,24,16,8,84,24,24,160,
16,1120,120,120,8,80,8,48,8,8,72,40,4,8,8,8,8,72,40,4,4,2,2,4,240,12,12,12,80,
8,12,36,8,46,16,8,2,18,6,4,16,4,80,8,8,24,24,8,16,1120,20,10,4,2,4,120,40,4,6,
8,2,8,8,6,2,2,18,4,2,2,4,2,2,12,16,8,8,8,160,16,2,4,8,8,2,40,4,4,2,2,6,4,8,2,
16,20,2,10,4,4,2,2,4,2,4,4,2,2,2],[1441440,480,5040,72,72,8,240,10,24,48,4,240
,4,24,18,6,2,2,2,8,24,10,4,24,6,2,2,4,24,4,6,2,24,2,4,6,2,2,24,2,6,2,6,2,2,2,2
],[1441440,1152,480,5040,72,72,8,32,80,10,192,24,48,16,4,12,24,18,6,10,2,2,2,2
,8,16,8,10,4,24,6,2,2,4,8,4,6,2,10,2,8,2,4,6,2,2,2,4,2,2,2,2,2,2,2],[1351350,
28350,990,1590,37800,1260,5670,1890,270,390,510,54,174,246,78,126,162,54,102,
630,54,90,18,5040,1260,60,216,36,36,360,72,60,36,36,210,270,90,102,18,30,54,18
,150,54,54,78,54,54,18,54,54,42,54,78,30,54,54,42,630,30,54,18,18,90,18,18,6,
90,18,18,18,18,18,18,18,18,6,18,18,90,18,18,18,90,30,90,18,18,18,6,18,18,18,6,
18,18,18,18,18,1260,3780,180,30,360,36,24,24,24,12,12,180,60,72,72,36,12,12,12
,12,36,12,12,36,36,12,180,12,90,42,54,54,54,18,42,30,18,30,18,18,42,30,18,42,
30,30,30,6,6,6,6,6,6,6,6,6,6,90,30,90,18,18,18,18,18,18,6,6,6,6,6,18,18,6,6,6,
18,18,6,6,6,6,6,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18
,18,18,18,18,90,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,6,6,6
,18,18,18,18,18,1260,36,60,36,36,630,180,54,30,30,12,6,6,180,12,12,12,12,60,36
,30,12,6,6,24,24,12,72,12,36,12,12,12,12,12,12,12,12,12,42,18,18,30,18,90,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,30,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,30,30,6,6,6,6,6,6,6,6,6,18,18,18,6,18,18,18,18,18,18,18,18,18,18,18,18,18,
6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,18,18,18,18,18,18,180,60,36,12,12,36,36,
36,12,12,60,12,6,12,12,12,6,6,30,24,30,18,6,18,18,30,6,6,6,6,6,6,12,6,6,6,6,12
,30,6,12,12,12,12,12,12,12,18,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,18,18,18,18,18
,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,180,12,36,12,12,12,12,12,30,30,6
,6,6,12,12,30,6,30,6,6,6,6,18,6,6,6,12,6,6,6,6,6,6,6,12,6,6,18,6,6,6,6,6,6,6,6
,6,6,30,12,12,12,12,12,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,30,6,30,6,6,
12,6,6,6,6,6,6,6,6,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6],[1351350,13230,750,790,
18900,630,216,13230,210,310,270,270,54,158,158,54,78,18,6,62,210,18,50,10,210,
30,18,6,540,100,10,18,6,4,70,270,10,158,2,54,54,2,270,54,54,62,54,6,2,54,6,14,
62,54,54,54,6,14,210,10,18,6,6,50,6,6,2,30,10,10,10,10,6,6,6,6,2,6,6,10,2,2,2,
10,10,30,2,2,10,2,6,6,6,2,10,2,6,6,6,72,1890,210,24,10,18,6,4,6,540,24,18,52,
36,36,2,2,10,6,2,6,6,2,2,6,6,24,20,270,14,6,62,54,54,54,54,2,54,2,2,54,54,54,
14,10,10,30,2,2,2,2,2,2,2,6,6,6,10,10,30,6,6,6,2,2,2,2,2,2,2,2,2,6,2,2,2,6,6,2
,2,2,2,2,2,2,2,2,2,6,6,6,2,6,10,6,6,6,6,10,6,6,6,6,10,6,6,6,6,10,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,6,10,2,2,2,2,2,2,6,6,6,2,2,24,12,4,210,10,10,10,6,6,2,2,90,10,
50,10,6,6,4,2,2,2,2,4,2,28,4,36,36,2,2,6,6,2,2,2,10,4,2,2,24,20,4,12,4,4,4,12,
14,54,2,54,54,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,30,10,6,6,6,2,2,2,2,2,2,2,2,2,2
,6,6,6,6,10,10,2,2,2,2,2,2,2,2,2,2,2,6,2,6,10,6,6,6,6,6,2,2,2,6,2,2,2,2,2,2,2,
2,2,6,2,2,2,2,2,2,2,6,6,6,2,2,2,2,2,2,24,18,4,4,90,6,6,26,2,18,2,18,2,2,2,6,2,
36,10,6,2,2,2,6,6,10,2,2,2,2,2,2,2,2,2,2,2,2,6,10,4,4,12,4,4,12,4,2,54,10,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,6,2,2,2,2,2,6,6,6,6,2,2,2,2,2,2,2,2,
2,24,4,4,4,6,6,4,2,4,4,10,4,2,2,2,2,14,2,2,18,2,18,6,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,4,2,6,2,12,4,6,10,2,6,4,4,2,2,2,2,6,2,2,2,2,2,2,2,2,2,6,2,4,4,2,10,2,18,2,2
,4,2,6,2,2,2,6,2,2,2,2,2,6,2,2,2,4,2,2,2,6,2,2,2,2,2,2,2,2,4,2,2,2,2],[1351350
,43470,270,2070,37800,1260,5670,6930,90,390,1510,126,174,54,38,18,378,90,18,
1050,90,50,10,6720,1260,288,36,1080,72,36,390,1230,54,30,38,38,30,90,18,18,18,
18,126,102,126,306,18,18,18,18,90,1050,230,90,66,66,30,30,22,50,30,18,10,10,10
,10,6,10,10,50,230,10,10,10,10,30,66,30,22,10,10,1260,3780,180,30,360,144,36,
24,40,24,960,192,96,48,32,36,36,16,240,16,48,8,90,270,90,18,18,18,18,18,90,102
,38,30,30,18,18,18,50,50,18,18,18,10,10,10,10,6,10,6,6,10,10,6,6,50,230,18,30,
30,30,10,10,10,6,10,10,10,10,10,10,10,10,6,6,10,10,54,66,54,30,22,22,22,22,18,
18,22,10,10,10,10,10,10,10,10,10,30,54,10,10,10,10,10,10,18,22,18,18,6,6,6,6,
1260,36,120,36,840,180,72,30,12,6,240,48,16,16,16,8,16,180,36,12,6,24,24,24,96
,144,36,24,32,16,16,48,8,8,48,8,48,8,8,16,16,8,8,90,18,30,18,18,50,18,18,10,10
,10,6,6,6,10,10,6,6,6,6,6,10,10,10,10,10,18,10,10,6,6,6,6,30,54,10,10,10,10,10
,6,10,10,10,10,10,10,10,18,18,18,18,22,18,6,6,6,6,6,6,6,6,10,6,6,6,10,10,6,10,
10,10,10,6,18,18,6,6,6,6,6,6,6,6,18,6,6,6,180,120,12,36,36,36,12,12,60,36,12,6
,12,20,12,30,24,160,24,16,48,24,8,6,12,6,12,40,8,24,16,12,4,48,8,8,8,16,8,8,8,
16,8,16,16,16,8,8,8,8,8,8,8,8,8,18,6,6,18,10,10,10,10,6,10,10,10,10,10,6,10,6,
6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,180,12,36,24,24,12,12,12,
12,12,30,6,12,12,12,40,12,8,8,8,4,8,24,36,12,16,8,8,12,6,6,4,4,12,4,8,12,4,4,
16,12,4,4,8,8,8,8,8,8,8,8,8,10,6,6,6,6,6,6,6,6,30,12,24,4,12,4,4,4,12,12,4,12,
6,12,8,8,6,6,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,8,4,8,8,8,8,6,30,6,6,12,6,4,4,4,
4,4,4,6,4,8,4,4,4,4,4,4,4,6,6,2,6,6,2,2,4,4,6,2,2,2,2,2],[1351350,27090,330,
750,37800,1260,3780,1890,210,160,230,18,58,60,20,54,14,840,36,110,26,5040,1260
,60,72,12,12,240,24,60,12,12,210,40,90,12,4,12,90,18,6,18,18,14,14,6,6,6,630,
30,18,6,6,90,6,6,2,90,6,6,6,6,6,90,6,110,100,90,26,10,10,2,6,24,12,8,12,12,6,6
,2,1260,3780,180,30,180,8,4,4,180,60,24,12,4,4,12,4,4,12,240,8,24,8,30,14,6,4,
2,6,2,30,40,30,6,2,4,12,2,4,2,6,6,2,2,90,30,90,6,6,6,6,6,6,6,2,2,2,2,2,6,6,6,6
,6,6,90,6,6,6,6,6,6,18,4,12,4,10,2,2,6,8,6,6,12,6,6,2,4,2,2,2,2,1260,12,60,12,
12,630,180,18,30,30,4,2,2,180,4,4,4,40,12,30,4,2,2,4,4,4,24,4,8,4,8,4,2,90,6,6
,6,30,30,2,2,2,2,2,2,2,2,30,30,2,2,2,2,2,6,6,6,4,2,6,2,4,2,6,2,6,2,8,2,2,2,2,4
,6,2,6,2,2,6,2,2,2,2,2,6,2,2,2,4,180,60,12,4,12,4,12,30,4,2,2,30,30,6,2,6,30,2
,2,2,2,2,4,40,4,6,4,4,8,4,4,4,4,4,30,2,2,2,2,2,6,2,2,2,2,2,2,2,4,2,6,2,6,2,2,2
,2,2,2,180,4,4,12,4,4,30,30,2,2,2,30,2,30,2,2,2,2,2,2,4,2,6,2,4,2,4,6,2,2,2,2,
2,2,30,4,4,4,4,30,2,2,2,2,2,2,4,2,2,2,2,2,2,2,30,2,30,2,2,4,2,2,30,2,2,2,2,2,2
,2,2,2,2],[1351350,27090,570,510,37800,1260,3780,1890,30,40,230,18,42,124,4,36
,54,26,840,108,50,14,5040,1260,72,24,12,240,24,12,24,40,90,12,4,4,30,12,12,12,
18,6,18,18,4,2,26,2,2,6,630,30,18,6,6,6,6,2,30,6,6,4,4,2,2,10,4,4,6,6,4,50,100
,14,6,6,6,18,24,12,16,8,8,4,4,6,6,1260,3780,180,30,180,8,4,4,180,24,12,4,4,4,
24,12,240,8,24,8,30,12,6,4,2,2,2,2,30,40,12,6,2,4,4,10,4,4,2,8,2,2,4,2,30,30,
10,2,2,2,2,6,6,2,2,2,2,2,4,4,4,4,4,4,2,2,2,2,6,2,2,2,2,2,6,6,2,2,2,2,2,2,2,4,4
,6,18,4,8,4,6,6,2,6,8,2,2,2,12,6,6,2,4,2,6,2,2,1260,12,24,12,630,180,18,30,4,4
,2,180,4,4,4,40,12,4,4,2,4,4,4,24,4,8,4,8,4,2,6,2,2,2,2,2,4,30,4,2,2,2,2,2,2,2
,6,4,4,2,2,2,2,2,2,2,6,4,2,6,2,4,2,2,2,4,2,2,6,4,6,2,2,4,2,4,2,2,2,4,2,2,6,2,2
,2,2,2,2,2,2,2,2,24,180,24,4,12,4,12,30,4,2,2,30,30,6,2,6,2,4,4,2,2,2,40,4,6,4
,4,8,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,6,2,2,2,4,2,2,4,2,2,2,2,2,2,2,2,2,180,4,4,
12,4,4,30,4,2,2,4,30,2,2,2,2,2,2,4,2,6,2,4,2,4,2,2,2,2,2,2,2,30,4,4,4,4,4,2,2,
2,2,2,4,2,2,2,2,2,2,2,30,2,4,2,4,2,2,2,2,4,6,2,2,2,2,2,2,2],[1351350,5670,390,
1750,18900,630,216,1890,210,70,170,70,54,38,50,18,42,90,42,22,630,54,70,6,180,
144,72,12,12,180,52,10,18,6,4,70,30,10,26,14,10,6,6,10,6,6,18,6,6,10,6,6,14,14
,10,2,6,18,14,60,36,24,12,10,12,8,10,2,2,2,2,12,18,2,10,2,4,6,6,6,10,2,2,2,70,
30,10,6,6,6,2,6,6,6,6,2,2,2,2,2,6,2,72,1890,210,24,10,18,6,4,6,24,18,28,4,8,2,
2,24,18,6,8,4,4,2,4,180,18,4,2,4,14,6,14,6,4,2,2,2,6,2,4,2,14,30,6,6,6,2,4,2,2
,2,4,2,2,10,10,18,6,6,2,2,10,6,2,2,4,2,2,2,2,6,6,2,6,6,4,4,2,2,4,6,6,2,2,6,2,2
,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,
2,2,2,2,2,2,6,6,2,2,6,2,2,2,2,2,6,2,2,2,6,2,2,2,72,4,4,60,36,12,24,18,6,4,2,2,
24,18,8,4,2,2,4,2,30,10,26,10,6,6,4,2,2,2,2,4,2,28,4,4,2,2,4,10,4,2,2,4,4,4,4,
4,2,4,4,4,14,2,2,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,4,2,2,2,4,2,2,2,2,2,6,2,2,
2,2,2,2,2,2,6,2,2,2,2,6,2,2,2,2,2,6,6,6,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,6,
2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,24,18,4,4,6,
6,14,2,2,2,4,2,2,2,6,2,4,4,2,6,6,6,2,2,2,4,30,6,2,2,2,4,4,4,2,4,4,4,4,4,6,4,2,
2,4,2,4,2,2,2,2,6,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,24,18,4,2,4,2,4,4,6,2,10,4,2,2,2,2,14,2,2,2,2,6,6,4,2,2,2,2,2,
2,2,2,2,2,4,2,2,2,2,2,2,2,4,4,2,2,2,4,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,4,2,4,
2,6,4,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,6,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,
4,2,2,2,2,2,2],[1351350,42210,330,1470,37800,1260,3780,6930,210,280,1230,90,
106,60,28,270,36,14,840,108,90,6,6720,1260,60,144,12,12,960,24,60,12,12,210,
160,1230,12,12,12,20,12,90,90,90,90,270,14,14,6,6,6,36,840,160,36,36,60,90,36,
12,12,90,6,6,18,6,6,6,6,6,2,90,6,90,160,90,6,6,6,6,18,36,12,20,6,6,6,1260,3780
,180,30,180,144,24,4,4,960,60,144,24,24,24,4,12,4,4,12,4,180,4,24,30,270,14,36
,90,90,12,12,12,2,6,2,30,30,30,18,18,6,2,2,2,2,6,2,2,6,2,2,90,160,90,6,6,6,18,
6,6,6,2,6,2,2,6,2,6,6,2,2,2,2,6,36,36,36,12,20,12,12,12,12,12,12,6,6,6,6,6,6,
90,6,6,6,6,6,6,36,6,6,2,12,12,6,6,6,6,2,2,6,2,2,6,2,6,2,1260,12,60,120,12,12,
840,180,36,30,30,4,2,2,180,24,4,4,4,4,160,12,30,4,2,2,24,4,24,144,4,24,24,4,4,
24,4,24,4,24,4,4,4,90,2,12,90,6,6,6,30,30,18,6,2,2,2,2,2,2,6,6,6,2,2,2,2,2,30,
30,18,2,2,2,6,2,2,12,2,2,2,6,36,2,6,2,2,6,2,2,2,12,12,12,12,12,6,6,2,2,2,6,2,2
,6,2,6,2,2,6,6,2,2,2,2,2,2,6,2,2,2,6,2,2,2,6,2,6,2,2,2,24,180,120,60,12,4,12,
12,12,4,30,36,12,2,2,30,160,12,12,36,6,30,2,2,2,2,2,2,4,30,2,24,4,6,24,4,4,4,4
,4,4,4,4,30,18,2,2,2,2,6,2,6,2,12,2,2,6,2,2,6,2,2,6,6,2,2,6,2,2,2,2,2,6,2,2,2,
2,2,6,2,2,2,2,180,4,8,12,24,24,4,12,4,4,30,30,2,2,12,2,30,2,30,6,2,2,2,2,6,36,
12,12,2,2,2,2,2,6,2,6,2,6,2,2,4,6,2,6,2,2,2,2,2,2,2,2,30,24,4,4,4,4,4,30,2,2,2
,12,2,2,2,2,2,6,2,2,2,2,2,2,2,2,30,2,30,2,2,6,4,2,2,30,2,2,6,2,6,2,2,2,6,2,2,2
,2,2],[1351350,42210,570,1230,37800,1260,3780,6930,30,160,1230,90,90,124,12,36
,270,36,26,840,36,30,26,6720,1260,144,24,12,960,24,12,24,160,1230,12,12,12,12,
12,30,12,12,12,90,90,90,270,4,2,26,2,2,36,6,840,160,36,36,36,12,12,12,30,6,6,4
,4,6,6,2,2,26,2,2,12,12,6,6,4,30,160,26,2,2,2,6,36,12,12,12,12,4,4,6,2,1260,
3780,180,30,180,144,24,4,4,960,144,24,24,24,4,4,24,12,4,180,4,24,30,270,36,12,
90,90,12,12,12,2,2,2,2,30,30,6,6,6,2,2,2,2,2,2,2,2,12,4,2,30,160,6,6,6,6,26,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,36,36,36,12,12,12,12,12,12,12,12,12,12,12,12,4,4,2
,2,2,2,6,2,2,2,2,2,6,6,2,2,2,2,2,2,2,4,4,6,36,12,2,2,2,12,12,2,2,2,6,6,2,2,2,2
,2,2,2,2,2,1260,12,120,24,12,840,180,36,30,4,4,2,180,24,4,4,4,4,160,12,4,4,2,
24,4,24,144,4,24,24,4,4,24,4,24,4,24,4,4,4,90,2,12,6,2,2,2,2,2,4,30,6,6,4,2,2,
2,2,2,2,2,2,2,2,2,12,12,2,2,4,4,2,2,2,2,2,2,2,2,12,2,2,2,6,36,2,2,12,2,2,2,2,2
,2,2,2,12,12,12,12,12,6,2,2,2,2,2,2,2,2,2,2,12,2,6,6,2,2,2,2,2,2,6,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,4,180,120,24,12,4,12,12,4,30,36,12,2,2,30,160,12,12,36,6,2,2,
4,4,2,2,2,30,2,24,4,6,24,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,12,2,12,2,2,2,2
,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,180,4,4,24,24,4,12,4,4,30,4
,2,12,2,4,30,6,2,2,2,2,6,36,12,12,2,2,2,2,2,6,2,6,2,6,2,2,4,2,2,2,2,2,2,2,2,2,
2,2,30,24,4,4,4,4,4,4,2,2,12,2,2,2,2,2,6,2,2,2,2,2,2,2,2,30,2,4,2,6,4,2,2,2,2,
4,6,2,2,2,2,2,2,2,2,2,2,2],[1351350,17010,970,1230,315,27,11340,1050,270,360,
510,58,138,132,36,84,102,36,42,420,48,30,26,105,45,21,9,15,3,15,27,7,7,360,150
,84,12,36,36,12,270,4,4,12,34,18,58,54,12,18,26,18,18,36,18,420,60,48,24,24,16
,16,8,30,14,14,4,12,18,6,2,2,18,6,2,8,8,6,6,4,30,60,10,2,2,6,18,24,16,8,12,4,
12,4,10,2,9,105,3,1,27,3,3,3,3,3,15,9,3,9,3,9,7,3,3,9,9,1,7,3,9,1,3,3,270,30,
36,4,10,18,36,12,12,18,18,18,6,30,30,6,6,6,2,2,2,2,2,2,2,2,4,12,6,30,60,6,18,
18,18,10,2,2,2,6,6,6,6,6,2,2,6,2,2,6,6,12,24,12,16,8,8,8,8,4,4,8,4,4,4,8,12,4,
2,6,6,6,10,6,2,2,2,2,6,6,2,2,2,2,2,2,2,4,4,18,12,4,2,6,6,4,8,6,2,2,6,6,2,2,2,2
,2,2,2,2,2,9,1,3,3,3,3,1,105,15,9,7,3,1,1,1,1,1,9,3,3,1,1,1,1,1,15,7,9,1,1,1,1
,3,1,3,1,3,1,9,9,3,3,3,1,3,3,3,3,1,1,3,1,3,1,3,1,3,1,1,1,10,18,12,6,2,2,2,2,2,
4,30,6,6,12,2,2,2,2,2,2,2,2,2,2,2,4,4,6,6,4,4,2,2,2,2,2,2,2,2,4,6,2,2,18,12,6,
2,4,2,2,6,6,6,6,6,6,4,4,4,4,8,6,2,2,2,2,2,2,2,2,2,2,4,6,6,6,2,2,2,2,2,2,6,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,1,1,3,3,3,1,1,1,1,1,1,1,9,1,3,3,3,1,1,15,7,3,3,3,1,9,9
,3,3,3,3,1,1,1,1,1,1,1,3,1,3,1,3,1,3,3,1,1,1,1,1,1,1,1,1,1,1,4,2,2,2,2,2,2,2,2
,2,2,4,6,4,6,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,1,1,1,1
,1,3,1,3,1,1,1,1,1,1,1,1,1,3,1,1,1,3,3,1,1,1,1,1,1,9,3,3,3,3,3,1,1,1,1,3,1,1,1
,3,1,1,1,3,1,1,1,3,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,3,1,1,1,1,1,1,1,1,1,1,1,1
,3,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1],[1351350,20790,390,550,18900,630,216,1890,2730,70,50,430,30,
54,50,10,42,90,6,22,210,42,10,10,1680,24,180,52,70,54,6,4,70,30,430,26,2,2,6,2
,10,6,6,18,6,30,30,30,90,14,14,10,2,6,6,14,210,30,6,6,18,10,14,2,2,10,2,2,2,2,
6,2,2,10,2,6,6,10,2,2,2,10,30,10,10,2,2,2,6,6,2,6,6,6,2,2,2,72,1890,210,24,10,
18,6,4,6,24,18,28,18,4,8,18,6,2,180,24,4,4,8,4,6,6,90,14,6,14,6,4,2,30,30,2,2,
2,4,2,14,6,6,4,4,2,4,2,4,4,6,2,10,30,10,6,10,2,2,2,2,2,2,2,6,6,6,2,6,2,2,2,2,2
,2,2,2,6,6,6,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,6,2,6,2,2,2,2,2,2,2,2,2,2,24,12,4,210,6,8,4,30,70,26,10,6,18,4,2,2,2,2,4
,2,28,4,4,2,6,24,4,4,10,4,2,2,4,6,6,4,2,2,4,4,4,4,2,30,14,2,2,10,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,6,2,2,2,4,6,6,4,2,2,6,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,6,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,24,18,4,4,6,6,14,2,2,6,6,18,4
,2,2,2,6,2,30,2,2,6,4,4,6,2,2,4,4,4,4,2,4,4,2,6,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,
2,2,2,2,2,2,2,2,2,6,6,24,4,4,2,4,4,10,4,2,2,2,2,14,2,2,2,6,2,4,2,6,2,2,2,2,2,4
,2,2,2,6,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,6,2,2,4,2,4,6,2,2,2,2,2,2,2,2,2,2
,2,6,2,4,2,2,2,2,2,2,2,2,2,4,2,2,2,2],[1351350,28350,270,1350,37800,1260,5670,
1890,90,270,510,54,126,54,30,18,162,54,18,630,126,30,22,5040,1260,216,36,360,
72,36,270,90,54,18,30,30,18,90,18,18,18,18,54,18,54,54,18,18,18,18,54,630,30,
54,18,18,18,18,6,30,18,6,6,6,6,6,6,30,30,22,6,6,10,30,18,18,14,14,14,6,2,1260,
3780,180,30,360,36,24,24,24,180,72,72,36,12,36,36,12,180,12,90,54,18,18,18,18,
18,18,30,18,18,18,18,18,30,30,12,6,6,6,6,4,14,6,10,4,4,30,30,18,18,18,6,6,6,6,
6,6,6,6,6,6,6,6,6,18,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,14,6,6,10,6,6,6,2,2,2
,2,2,1260,36,36,630,180,54,30,12,6,180,12,12,12,12,60,36,12,6,24,24,72,36,12,
12,12,12,12,18,18,18,18,30,6,6,6,6,6,6,6,6,6,6,6,2,2,2,2,2,6,6,18,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,2,2,2,2,2,6,4,6,6,4,6,6,6,10,4,2,2,2,2,24,4,180,36,36,36,60,12
,6,12,12,12,30,24,30,18,6,18,18,6,6,12,6,12,30,6,12,12,12,12,12,12,18,6,6,6,6,
6,6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,4,2,180,12,36,4,4,12,30,6,12,12,30,6,6,6,6
,18,6,6,6,12,6,6,12,6,6,6,2,2,2,2,2,2,30,12,12,12,4,12,6,6,6,6,6,6,6,6,6,2,30,
6,6,12,6,6,6,6,2,6,6,6,2,2,2],[1351350,13230,750,790,18900,630,216,5670,630,
210,190,230,30,110,134,38,90,54,18,58,210,18,50,10,210,30,18,6,540,100,10,18,6
,4,140,150,30,86,6,22,30,6,110,30,30,50,30,18,6,30,18,28,42,38,22,30,18,28,210
,10,18,6,6,50,6,6,2,40,10,10,10,10,6,8,8,8,2,8,8,30,6,6,6,30,10,40,6,6,10,2,6,
6,6,2,10,6,8,8,8,72,1890,90,15,54,18,9,180,72,18,60,20,28,2,2,10,6,2,6,6,2,2,6
,6,24,20,90,28,18,42,30,18,26,22,6,22,6,6,26,22,18,28,10,10,20,2,2,2,2,2,2,2,4
,4,4,30,10,40,6,6,6,6,6,6,2,2,2,2,2,6,8,2,2,2,6,6,2,2,2,2,2,6,6,6,6,6,8,8,8,6,
8,10,8,8,8,8,10,8,8,8,8,10,8,8,8,8,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,10,6,6,6,2
,2,2,8,8,8,6,6,24,12,4,30,5,15,2,3,1,90,50,5,6,1,3,2,2,1,56,12,12,20,2,2,6,6,2
,2,2,24,20,4,16,12,12,4,16,28,18,6,22,18,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,20,
10,4,4,4,2,2,2,2,2,2,2,2,2,2,4,4,4,4,10,10,2,2,2,2,2,2,2,2,2,6,6,8,2,6,10,8,8,
8,8,8,6,6,6,8,6,6,2,2,2,2,2,2,2,8,2,2,2,2,2,2,2,4,4,4,6,6,6,6,6,6,18,18,6,4,30
,18,30,3,6,10,14,1,1,15,18,9,9,12,5,1,1,1,3,1,2,1,1,1,3,2,2,6,10,12,4,16,4,4,8
,12,18,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,8,2,2,2,4,2,2,2,2,2,4,4,4,4,2,
6,2,2,2,2,2,2,2,6,2,6,6,6,2,2,15,5,3,1,28,1,6,6,10,5,1,2,1,2,3,1,1,1,1,1,6,3,1
,12,6,8,2,8,4,6,10,2,8,4,4,6,4,2,2,2,2,2,2,2,2,2,6,3,6,2,2,6,5,1,1,1,1,1,9,3,1
,4,3,3,1,1,6,8,2,2,2,4,6,1,1,2,1,2,1,3,6,2,2,3,1,6,4,2,1,2,2,1,1,1,1,1,3,1,2,1
,2,3,1,1,1],[1351350,23310,750,1910,4725,630,54,11340,2100,130,420,870,126,270
,108,60,260,90,26,630,54,50,10,525,210,125,150,69,18,18,14,6,6,165,53,50,18,42
,6,2,70,420,350,108,36,60,60,36,90,102,54,126,140,14,26,18,18,18,90,630,120,54
,38,38,50,24,24,16,30,10,10,12,4,6,6,6,6,2,10,2,10,120,30,2,2,10,6,12,38,24,16
,6,6,4,18,210,6,10,1,135,15,13,23,18,21,9,15,14,2,6,75,53,41,21,50,33,27,27,15
,42,14,23,11,13,18,6,6,6,14,9,6,2,6,6,2,45,5,5,9,9,5,90,80,14,90,30,54,60,36,
36,18,18,18,10,10,30,4,4,4,2,2,2,2,2,2,2,2,6,6,10,120,30,4,12,12,12,2,2,2,2,6,
6,6,6,6,2,6,6,2,2,6,6,30,38,30,24,16,16,16,16,12,12,16,6,10,6,6,6,6,10,2,2,2,2
,2,12,30,2,6,6,12,16,6,2,4,4,2,2,4,2,2,4,2,4,2,18,6,2,6,6,6,6,2,2,6,2,210,50,
10,10,14,6,6,2,2,2,2,1,1,45,9,5,5,3,9,5,5,5,3,3,3,3,1,3,5,50,10,6,14,2,2,2,2,1
,7,5,15,11,9,9,6,27,27,9,15,15,15,9,9,15,23,11,21,5,11,7,13,9,9,9,18,6,6,6,5,
11,9,9,6,14,2,10,1,9,9,5,5,5,3,3,3,1,9,5,5,9,5,1,3,3,3,9,9,5,5,5,3,3,3,1,1,1,5
,3,3,3,1,3,3,5,3,1,1,1,30,18,36,10,2,2,2,30,10,4,4,6,6,6,2,2,2,2,2,2,2,2,2,2,2
,10,10,4,2,2,2,2,2,2,12,6,2,2,12,30,2,2,6,6,6,6,6,6,12,12,12,12,16,6,4,2,2,2,4
,2,2,2,2,2,2,6,4,4,2,2,2,2,2,2,4,2,2,2,4,2,2,2,4,2,2,2,2,2,6,1,6,6,2,2,2,2,6,2
,2,2,2,6,2,2,2,6,2,2,2,6,2,2,2,6,6,14,2,2,5,9,9,50,6,6,6,6,6,14,14,14,10,2,2,2
,2,2,2,2,2,2,1,7,5,11,5,5,9,9,9,9,15,9,9,9,6,1,3,3,9,5,5,5,5,5,5,3,3,3,3,9,5,3
,3,3,3,3,3,1,3,3,3,3,3,1,3,1,3,3,3,1,1,1,1,1,3,1,1,1,1,1,1,1,3,3,1,3,5,3,3,3,3
,3,3,3,3,3,5,3,3,1,1,3,3,3,3,5,3,3,3,1,1,1,1,1,3,1,1,1,3,3,3,5,3,3,3,3,1,1,3,3
,3,3,3,5,3,3,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,4,1,1,1,1,2,1,1,1,1,1,1,1,10,4,
2,2,2,2,2,2,2,2,12,6,6,2,2,2,4,2,2,4,4,2,2,4,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,6
,2,2,1,1,2,6,2,2,1,1,6,2,2,1,1,6,2,2,2,2,2,2,2,2,2,1,2,2,1,10,1,6,5,9,9,14,6,6
,6,6,6,2,2,1,3,3,3,1,1,1,3,1,1,1,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1
,1,1,1,1,1,3,1,1,1,1,1,1,1,1,3,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,5,3,3,3,3,3,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,2,1,1,1,1,2,2,4,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,1,1,1,1,2,2,2
,2,2,1,2,2,2,2,1,2,2,2,2,1,1,1,1,10,2,1,6,1,1,1,1,1,4,1,4,1,2,3,3,3,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,2,2,2,2,1,2,2,2,2,2,2,2,2,1,1,4,2,1,1,1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,
2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1],[1297296,12096,480,816,378,252,24,240,32,
48,16,36,336,96,240,1176,6,126,18,18,6,6,18,6,8,12,12,12,12,4,240,8,12,24,8,8,
1176,16,36,6,16,36,252,2,6,6,6,2,2,6,18,2,6,6,3,12,8,4,4,4,24,4,42,36,22,6,2,4
,16,36,4,4,2,6,6,12,12,12,2,6,2,6,2,2,2,6,3,1,3,1,3,1,1,4,4,2,36,4,4,4,2,6,2,6
,2,2,2,4,12,4,2,6,6,126,3,1,2,3,1,3,1,1,1,1,1,1,4,2,2,2,2,6,2,4,6,6,6,2,2,6,6,
6,2,2,2,3,1,1,1,1,1,1,2,6,2,6,2,2,2,2,2,1,1,2,2,2,1,1,1,1,1,1,1],[1297296,
18144,1200,45360,9072,756,120,400,108,1176,72,240,1176,6,2016,144,432,48,120,
36,252,36,12,12,240,200,12,48,1176,44,6,44,9072,16,72,48,24,8,360,8,48,30,120,
12,12,12,36,24,12,102,36,18,6,12,6,12,44,6,6,6,252,36,120,8,48,8,8,8,6,30,2,6,
6,2,12,12,6,36,20,2,10,2,6,2,2,2,12,120,12,8,6,6,1008,30,2,12,6,6,2,2,2,2,12,2
,2,6,2,2,6,12,6,6,6,2,2,36,12,24,12,2,2,6,2,2,2,2,2,6,2,24,4,12,4,2,2,2,3,2,4,
2,3,1,1,3,1,1,1],[1297296,6048,576,240,4536,80,16,504,72,80,16,336,1,96,72,24,
8,8,8,80,24,8,4,336,8,1,1,8,1,8,8,72,8,8,8,6,1,8,24,4,36,8,12,1,1,8,1,4,4,4,4,
4,8,8,4,4,1,6,2,1,1,1,2,4,8,4,1,4,8,4,4,1,1,1,6,2,1,2,1,1,2,2,2,1,4,4,1,1,1,1,
1,1,1,1,2,2,2,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1235520,60480,151200,5040,60480,5040,5040,20160,20160,5040,720,720,5040,
5040,20160,60480,5040,720,720,720,720,5040,720,720,5040,5040,720,720,5040,720,
20160,5040,720,720,720,5040,720],[1235520,25920,86400,720,25920,720,720,5760,
5760,720,6,720,720,5760,25920,720,6,720,6,6,720,720,6,6,6,6,720,6,6,6,5760,720
,6,6,6,6,6,6,6,6,720,6,6,6],[1235520,8640,640,43200,252,216,8640,48,48,960,960
,96,64,40,36,4,6,48,72,960,8640,36,36,12,16,12,4,2,12,24,12,4,16,6,3,3,48,12,2
,2,2,12,1,36,4,4,1,3,2,1,1,2,960,4,3,1,12,2,2,2,2,2,1,1,16,3,1,1,1,2,2,12,1,2,
1,4,1,1,2,1,1,1],[1235520,8640,640,612,108,240,64,48,960,120,24,36,16,4,6,16,
36,960,240,12,12,4,8,12,4,2,12,6,6,4,16,6,3,3,16,4,2,2,2,12,1,12,2,4,1,3,2,1,1
,2,120,4,3,1,4,2,2,2,2,2,1,1,8,3,1,1,1,2,2,6,1,2,1,2,1,1,2,1,1,1],[1201200,
47040,2160,29400,1050,24,78,1680,10080,120,2160,360,36,420,36,6720,1050,432,
114,42,24,1680,72,6,114,120,2160,360,36,420,120,36,36,36,120,36,1050,78,78,24,
24,24,24,24,1680,60,6,6,60,6,432,6,18,72,12,1680,432,24,72,72,6,114,12,6,18,60
,12,6,6,24,6,360,36,120,36,36,36,36,1050,114,24,24,24,24,24,42,42,330,18,78,42
,6,24,114,6,6,420,60,36,12,6,6,60,24,12,12,12,12,6,6,6,120,12,72,12,24,432,6,
72,72,12,12,18,24,6,12,24,12,6,24,12,6,12,12,78,24,24,24,36,60,6,6,6,6,6,6,6,6
,6,6,330,18,18,114,6,6,24,42,6,6,6,18,114,6,18,6,6,114,6,6,6,6,18,6,6,6,6,6,6,
36,120,36,12,72,12,24,12,12,12,6,12,12,12,12,12,6,78,6,24,42,24,24,24,42,24,60
,12,6,6,6,6,6,6,6,6,6,6,6,18,24,6,6,6,24,6,6,6,6,114,6,6,18,18,6,12,6,6,6,6,6,
6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,24,36,12,6,78,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6
,42,24,42,6,24,12,6,6,6,18,6,6,6,12,12,12,6,6,6,6,6,6,6,6,24,24,6,6,6,6,6,6,6,
6,42,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,24,24,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,24,6,6,6,6,6,6,6,6],[1201200,16800,480,2160,29400,1050,24,78,1680,420,
160,560,96,80,48,164,84,16,140,44,2240,350,80,30,424,6,10,110,2,42,24,600,120,
30,6,42,6,6,40,32,24,24,24,36,16,8,28,140,44,12,12,8,8,4,8,8,4,12,8,1050,78,78
,24,24,24,24,24,1680,60,6,6,60,6,24,6,8,6,8,12,28,14,2,6,2,20,32,8,30,128,28,
20,12,14,14,36,28,8,2,2,6,6,6,6,2,38,24,2,2,2,6,10,6,20,2,12,6,6,8,8,2,2,2,12,
8,4,4,4,8,4,4,12,8,4,350,10,110,2,24,24,24,24,24,42,42,30,110,6,22,10,10,26,14
,6,6,2,2,2,8,4,4,4,4,42,6,6,6,140,20,44,2,12,6,6,20,8,2,2,4,4,12,4,2,2,2,2,4,6
,6,2,2,40,32,4,2,4,4,2,6,8,8,4,8,8,4,8,8,4,6,6,6,6,2,2,2,2,2,12,4,2,12,6,14,2,
8,8,2,2,4,2,2,2,8,4,2,2,2,4,2,2,8,2,2,2,4,4,2,2,4,2,4,2,78,24,24,24,4,60,6,6,6
,6,6,6,6,6,6,6,30,6,6,16,4,14,10,36,2,2,2,2,2,2,6,6,6,2,8,2,8,2,14,4,4,4,6,6,6
,6,2,38,2,2,2,2,10,6,6,6,14,2,2,2,2,2,2,2,2,2,6,2,2,10,2,2,2,6,6,2,2,2,2,2,6,6
,6,2,2,8,8,12,4,2,8,4,4,4,2,6,8,2,2,2,2,2,2,2,4,4,4,4,2,2,4,4,2,2,4,2,4,2,4,2,
6,26,10,2,8,2,4,4,42,24,24,24,14,6,8,4,4,20,2,12,6,6,6,6,6,6,6,6,6,6,2,2,6,2,8
,8,2,2,2,2,2,2,2,2,2,8,8,2,2,2,2,2,2,2,2,2,2,2,14,2,2,2,2,2,2,2,8,2,6,6,2,2,2,
2,2,2,6,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,6,6,
6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,24,4,4,2,6,10,2,2,4,2,6,6,6,6,6,6,6,6,2,2,
2,2,2,2,2,2,2,14,6,2,8,4,4,2,2,6,6,4,4,8,2,2,2,2,4,4,2,2,2,2,2,2,2,6,2,2,2,2,2
,2,2,4,2,4,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,24,8,4,2,2,2,2,2,2,2,
6,2,2,2,2,2,2,2,6,2,2,4,2,2,2,2,6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,4,2,2,2,6,8,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,6,4,2,2,2,2,2,2,2,2,2,2,2,2,2],[1201200,16800,1440,1200,12600,210,60,1680,
1260,240,240,96,240,48,108,36,48,420,36,1680,210,240,30,96,18,24,6,24,240,72,
30,60,6,18,120,96,24,36,48,24,36,60,36,36,12,12,12,12,210,24,6,6,6,18,60,60,6,
24,12,6,6,180,24,30,24,36,60,12,36,12,24,6,6,6,18,6,6,6,6,12,24,24,36,12,36,24
,12,12,12,12,12,210,6,24,6,24,6,30,30,18,18,6,6,6,6,6,6,6,24,6,6,6,6,6,6,6,18,
12,6,24,24,12,24,12,6,6,6,6,6,6,12,24,12,12,12,36,12,12,12,12,12,6,6,6,12,210,
6,30,30,18,6,18,6,6,6,6,6,6,6,6,6,24,6,6,24,6,6,24,6,6,6,6,6,6,6,6,6,6,6,6,6,6
,6,18,6,6,12,12,6,12,12,12,12,12,6,6,6,6,6,6,6,6,6,6,6,30,18,6,6,6,24,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6
,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6
,6,6,6,6,6,6,6,6,6],[1201200,30240,960,720,16800,420,6,24,5040,720,192,96,48,
48,3360,420,144,24,36,6,12,6,720,36,24,6,720,48,24,24,24,48,24,24,48,24,420,24
,24,6,6,6,6,6,144,12,6,720,144,12,12,24,36,6,6,48,24,24,24,420,36,6,6,6,6,6,6,
12,12,120,24,24,12,6,6,6,6,6,6,36,6,144,12,6,24,6,6,6,24,12,6,6,6,6,120,24,36,
12,6,6,6,6,6,6,6,12,36,6,36,12,6,6,24,6,6,6,12,6,6,6,12,6,6,6,12,6,6,6,6,6,6,
12,6,36,12,6,6,6,24,6,6,12,6,6,6,12,6,6,6,12,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6],[1201200,16800,1040,29400,1050,24,78,1680,1260,
200,240,116,48,80,16,1680,210,20,104,8,6,960,104,20,6,78,2,120,36,40,8,24,8,4,
8,16,4,8,1050,78,78,24,24,24,24,24,1680,60,6,6,60,6,144,6,8,24,12,20,2,2,180,
20,24,40,2,2,36,12,6,6,12,2,24,8,8,8,2,2,36,8,4,4,4,8,4,210,8,6,20,150,26,8,8,
30,24,2,2,6,12,2,2,2,2,78,6,6,2,8,2,4,2,2,8,8,4,120,12,12,4,24,6,12,12,12,2,8,
2,4,2,2,2,8,4,4,78,24,24,24,4,12,2,60,6,6,6,6,6,6,6,6,6,6,30,20,18,6,2,8,6,6,6
,6,2,6,6,2,36,2,2,2,6,10,6,6,2,2,2,2,8,2,36,4,8,4,12,2,4,4,4,4,4,4,6,30,8,6,12
,2,2,24,2,12,2,2,2,4,6,2,6,8,2,2,2,2,2,2,24,6,6,6,2,2,2,2,6,6,6,12,2,2,2,2,2,6
,6,2,2,4,2,2,24,4,4,6,6,8,6,6,6,6,6,6,6,6,2,2,6,6,12,2,2,2,6,2,4,2,6,2,2,2,2,2
,4,12,4,2,2,12,2,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,4,2,2,2,6,6,2,4,2,6,6,2,4,6,2,2
,2,2,2,2,2,6,2,2,2,6,2,2,2,2,6,2,2,2],[1201200,26880,480,400,29400,1050,24,78,
1680,3360,80,240,32,80,16,16,280,72,16,3920,630,80,10,32,6,2,2,2,840,88,10,6,
54,6,4,40,240,32,8,16,8,280,40,24,24,16,40,16,8,1050,78,78,24,24,24,24,24,1680
,60,6,6,60,6,120,6,12,24,20,2,2,520,8,10,24,12,20,4,8,2,2,2,6,2,2,2,2,2,2,40,
24,8,8,16,4,8,8,8,8,40,16,8,630,2,2,2,10,170,6,14,2,2,42,20,4,4,2,2,2,12,2,2,2
,2,54,6,6,4,280,40,40,8,8,16,4,8,40,32,4,2,24,4,2,8,8,4,24,8,4,2,2,2,2,2,2,2,
16,4,4,8,8,8,4,4,78,24,24,24,8,12,2,60,6,6,6,6,6,6,6,6,6,6,100,10,6,2,2,2,2,2,
2,2,2,6,6,6,12,2,2,2,2,28,2,2,4,2,2,2,2,6,2,2,6,4,4,4,8,4,8,40,8,4,4,2,8,4,8,4
,4,4,4,6,42,2,2,12,2,2,2,20,4,12,2,2,40,4,6,2,2,2,16,4,4,4,8,8,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,4,2,2,2,2,2,6,2,4,4,2,2,24,8,4,6,24,2,2,2,2,6
,6,6,6,6,6,4,4,2,2,2,2,10,4,2,2,6,2,4,8,2,2,2,2,2,2,2,4,4,2,4,2,2,12,2,2,2,2,2
,2,2,2,2,2,4,4,4,2,2,2,4,4,2,2,4,2,2,2,2,2,2,2,2,4,2,6,6,2,4,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,4,2,2,2,2,2,2,2],[1201200,10080,320,1360,16800,420,6,24,160,240,
48,72,16,32,1120,140,40,176,8,8,36,2,12,6,240,64,40,12,8,4,2,24,8,8,8,24,16,8,
4,420,24,24,6,6,6,6,6,16,12,40,48,16,12,12,16,4,12,16,4,2,8,8,4,4,4,140,8,36,2
,6,6,6,6,6,12,12,40,40,8,8,8,8,8,4,4,4,2,2,2,2,2,2,2,2,2,2,12,4,2,8,12,24,6,6,
6,4,8,2,6,2,6,40,8,12,8,12,4,4,4,4,4,2,2,2,2,2,4,2,2,2,12,4,2,12,4,4,4,8,8,2,2
,2,2,2,12,6,6,6,4,4,2,2,2,2,2,2,4,2,2,2,2,6,4,2,12,4,4,2,6,8,2,4,4,2,2,2,2,2,4
,4,2,2,4,2,6,2,2,2,4,2,2,2,2,2,6,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[1201200,
10080,320,1360,16800,420,6,24,160,240,48,72,16,32,1120,140,40,176,8,8,36,2,12,
6,240,64,40,12,8,4,2,24,8,8,8,24,16,8,4,420,24,24,6,6,6,6,6,16,12,40,48,16,12,
12,16,4,12,16,4,2,8,8,4,4,4,140,8,36,2,6,6,6,6,6,12,12,40,40,8,8,8,8,8,4,4,4,2
,2,2,2,2,2,2,2,2,2,12,4,2,8,12,24,6,6,6,4,8,6,2,6,2,40,8,12,8,12,4,4,4,4,4,2,2
,2,2,2,4,2,2,2,12,4,2,12,4,4,4,8,8,2,2,2,2,2,12,6,6,6,4,4,2,2,2,2,2,2,4,2,2,2,
2,6,4,2,12,4,4,2,6,8,2,4,4,2,2,2,2,2,4,4,2,2,4,2,6,2,2,2,4,2,2,2,2,6,2,2,2,6,2
,2,2,2,2,2,2,2,2,2,2,2,2,2],[1201200,26880,560,29400,1050,24,78,1680,3360,120,
240,8,12,420,20,3920,630,20,56,8,2,840,56,20,6,54,2,40,240,4,280,80,8,8,4,40,8
,4,1050,78,78,24,24,24,24,24,1680,60,6,6,60,6,120,6,8,12,24,12,12,2,2,520,20,
24,24,2,2,2,2,40,2,20,36,12,2,2,8,4,40,4,4,4,4,630,8,2,20,170,14,8,8,42,20,2,2
,2,12,2,2,2,2,54,6,6,2,280,40,8,2,40,8,2,2,40,4,24,4,4,8,24,2,2,16,8,8,4,2,8,4
,2,8,2,24,2,4,8,4,78,24,24,24,4,70,2,60,6,6,6,6,6,6,6,6,6,6,100,20,2,8,2,6,6,6
,12,2,2,2,2,28,2,2,2,4,2,6,2,6,2,2,2,4,2,4,12,2,40,4,4,4,4,8,2,4,4,4,8,4,4,6,
42,8,2,12,2,2,20,2,12,2,2,40,2,20,2,2,16,8,4,2,2,2,2,2,2,4,4,8,2,2,2,2,2,2,2,2
,2,4,2,2,4,2,2,2,2,4,2,2,6,2,2,4,2,2,2,6,2,24,4,4,6,24,8,10,2,4,6,6,6,6,6,6,4,
2,4,2,2,2,10,2,2,2,2,2,8,2,2,2,2,2,2,2,4,4,4,2,2,12,2,8,2,2,2,4,2,2,2,4,4,2,2,
2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,4,6,6,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,
2,2,2,2,2],[1201200,10080,320,720,16800,420,6,24,240,16,280,72,32,1120,140,144
,8,36,2,12,6,240,12,8,2,8,8,24,16,24,8,4,420,24,24,6,6,6,6,6,48,4,12,2,16,4,16
,4,8,8,4,140,36,2,6,6,6,6,6,12,12,40,8,8,4,2,2,2,2,2,2,12,2,8,4,24,6,6,6,4,140
,12,8,6,2,6,2,12,4,2,2,2,2,2,4,12,2,4,4,8,2,2,2,12,6,6,6,4,2,2,2,2,2,2,6,12,4,
2,4,2,6,8,2,4,2,2,2,4,2,4,6,2,2,4,2,2,2,6,2,2,2,6,2,2,2,2,2,2,2,2,2,2],[
1201200,10080,320,720,16800,420,6,24,240,16,280,72,32,1120,140,144,8,36,2,12,6
,240,12,8,2,8,8,24,16,24,8,4,420,24,24,6,6,6,6,6,48,4,12,2,16,4,16,4,8,8,4,140
,36,2,6,6,6,6,6,12,12,40,8,8,4,2,2,2,2,2,2,12,2,8,4,24,6,6,6,4,140,12,8,2,6,2,
6,12,4,2,2,2,2,2,4,12,2,4,4,8,2,2,2,12,6,6,6,4,2,2,2,2,2,2,6,12,4,2,4,2,6,8,2,
4,2,2,2,4,2,4,6,2,2,4,2,2,2,2,6,2,2,6,2,2,2,2,2,2,2,2,2,2],[1201200,16800,480,
880,29400,1050,24,78,1680,1260,160,240,32,80,16,108,36,16,140,12,1680,210,80,
10,80,6,2,6,2,960,136,10,6,78,6,4,120,32,8,36,16,8,36,20,12,12,4,4,4,4,1050,78
,78,24,24,24,24,24,1680,60,6,6,60,6,144,6,24,28,2,2,180,8,10,24,28,20,4,36,12,
8,2,2,2,6,2,2,6,6,12,2,2,12,20,8,36,8,4,4,4,4,4,210,2,6,2,10,150,6,26,2,2,30,
24,4,4,6,2,2,12,2,2,2,2,78,6,6,4,120,32,12,2,12,2,24,8,4,8,4,2,6,2,2,2,2,12,2,
12,12,8,4,12,4,4,4,4,4,78,24,24,24,4,70,2,60,6,6,6,6,6,6,6,6,6,6,30,10,6,2,18,
6,2,2,2,2,2,6,2,6,6,6,6,6,2,2,36,2,2,6,2,2,2,10,2,6,6,4,8,36,8,12,4,2,4,4,4,4,
4,4,4,6,30,2,6,12,2,2,2,24,4,12,2,2,10,6,2,2,2,6,2,24,8,2,2,6,2,2,2,2,6,6,2,2,
2,6,6,6,2,2,2,2,2,2,12,2,2,6,2,2,6,4,24,4,4,6,6,2,6,2,2,6,2,10,2,4,6,6,6,6,6,6
,6,6,2,2,12,4,2,2,6,2,2,2,2,2,2,4,12,2,4,12,2,2,2,2,2,2,6,6,2,2,2,6,6,2,2,6,2,
2,2,4,2,6,2,2,6,2,4,6,6,2,4,6,2,2,2,2,6,2,2,2,2,2,2,6,2,2,2,2,6,2,2,2],[
1201200,30240,320,720,16800,420,6,24,5040,720,64,16,16,3360,420,144,8,36,2,12,
6,720,36,8,2,720,16,16,16,8,420,24,24,6,6,6,6,6,144,4,720,144,4,4,8,36,2,16,8,
420,36,2,6,6,6,6,6,12,12,120,8,24,12,6,2,2,2,2,2,36,2,144,4,24,6,6,6,8,4,2,2,2
,2,120,8,36,4,2,2,2,2,2,6,12,36,2,36,4,2,24,6,2,2,12,6,6,6,12,6,2,2,4,2,2,4,36
,4,2,2,2,6,24,2,12,6,2,2,12,2,2,4,6,6,2,12,2,6,2,2,2,6,2,6,2,2,2,2,2,2,2,2,2,2
],[1201200,30240,320,1360,16800,420,6,24,5040,160,720,64,48,72,16,280,72,16,
3360,420,40,176,8,8,36,2,12,6,720,64,40,36,8,4,2,720,16,24,80,48,16,16,8,8,16,
24,420,24,24,6,6,6,6,6,144,16,12,4,720,40,144,16,12,12,16,4,4,8,36,16,4,2,16,4
,16,4,16,8,8,24,8,420,8,36,2,6,6,6,6,6,12,12,40,120,8,8,8,8,24,12,4,4,6,2,2,2,
2,2,2,2,2,2,36,4,2,16,8,4,4,144,4,8,12,8,4,8,4,16,4,24,6,6,6,8,140,12,4,2,2,2,
2,120,40,8,8,12,8,36,4,4,4,4,4,2,2,2,2,2,6,12,2,2,2,36,4,2,12,36,4,4,4,4,2,4,4
,4,8,24,8,6,2,2,2,2,12,6,6,6,12,4,6,2,2,2,2,40,8,12,4,4,4,2,2,2,2,12,4,36,12,4
,4,4,2,4,4,4,4,4,6,24,8,2,2,8,2,12,4,6,2,2,2,2,12,4,4,2,2,2,2,4,2,12,4,4,4,4,4
,4,6,6,2,2,8,2,12,4,2,2,4,4,2,2,4,2,4,2,4,6,2,2,2,2,6,2,2,2,2,2,4,2,6,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2],[1201200,16800,1680,29400,1050,24,78,1680,420,40,
560,108,280,120,16,2240,350,384,110,42,24,600,24,6,42,40,36,140,36,12,12,16,4,
40,24,1050,78,78,24,24,24,24,24,1680,60,6,6,60,6,24,6,6,8,4,20,128,8,12,28,2,
38,6,10,20,36,8,6,14,12,28,10,8,4,12,4,12,8,4,350,110,24,24,24,24,24,42,42,110
,6,26,14,2,8,42,6,6,140,20,36,12,6,6,20,4,4,12,4,6,6,2,40,4,4,8,2,12,4,6,8,2,8
,16,10,4,2,8,4,4,4,4,78,24,24,24,4,70,14,2,60,6,6,6,6,6,6,6,6,6,6,4,36,2,8,14,
6,6,6,6,38,2,10,6,6,2,2,2,2,2,2,2,2,14,6,6,10,12,4,8,4,4,4,4,4,2,4,4,4,4,4,4,6
,26,2,8,42,24,24,24,14,8,20,12,6,6,6,6,6,6,6,6,6,6,2,6,8,2,2,2,8,2,2,2,2,14,2,
6,2,2,4,2,2,2,2,2,2,2,10,2,2,6,6,6,2,2,2,2,24,4,4,4,6,10,2,4,6,6,6,6,6,6,6,6,2
,2,2,2,2,14,8,6,2,4,2,6,4,2,2,2,4,4,4,2,2,2,2,2,2,2,24,8,2,2,6,2,2,2,2,2,6,6,6
,6,6,6,2,2,2,2,2,2,2,2,2,2,2,6,2,4,4,2,6,8,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6
,2,2,4,2,2,2,2,2,2,2],[1201200,25760,960,720,12600,210,60,4200,720,128,120,16,
32,16,2240,210,160,96,12,14,16,2,440,24,20,14,12,6,720,120,16,32,16,8,16,8,210
,24,6,6,6,18,96,6,24,6,2,440,96,32,24,24,8,2,2,12,14,8,2,6,2,8,2,32,2,2,120,8,
8,16,8,210,16,14,4,2,2,50,12,6,6,2,2,4,4,2,14,8,2,2,4,2,4,2,2,8,2,6,6,24,96,8,
2,24,24,6,2,2,32,2,8,2,8,8,6,6,6,8,4,2,50,12,6,6,14,4,2,2,2,2,6,14,8,2,6,2,2,
14,2,2,2,2,2,6,2,2,2,2,2,2,2,6,2,2,24,2,8,8,8,8,2,6,2,4,2,2,4,2,2,2,4,4,2,2,6,
2,2,2,14,6,6,2,2,2,2,2,2,2,2,2,6,2,2,2,6,2,8,6,4,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,6,2,2,2,2,2,2,2,4,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2
,2,4,2,2,2,2,2,2,2,2],[1201200,15680,480,720,12600,210,60,1260,120,80,32,48,16
,36,560,32,16,1680,210,80,30,48,6,24,2,8,200,24,30,20,2,6,8,12,60,12,12,4,40,
16,8,4,16,8,210,24,6,6,6,18,8,2,180,8,30,8,12,12,4,12,4,2,6,2,2,2,8,20,2,4,8,4
,2,20,20,2,2,8,8,4,4,12,4,4,8,210,6,8,2,24,2,30,30,6,6,6,6,6,2,2,2,2,8,2,2,6,2
,2,6,2,6,4,2,4,8,8,4,2,2,2,4,2,4,12,12,4,4,8,4,2,4,4,4,2,6,6,6,4,210,2,2,30,30
,6,2,6,2,6,2,2,2,8,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,6,4,4,4,4,2,4,4,4
,2,6,6,2,2,2,6,2,2,6,2,30,6,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,4,
6,6,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,6,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2],[1201200,16800,1040,12600,210
,60,1680,1260,200,240,116,48,80,16,1680,210,20,72,6,2,240,104,20,60,6,2,120,36
,40,8,24,8,4,8,16,4,8,210,24,6,6,6,18,60,60,6,8,24,12,20,2,2,180,20,24,24,2,2,
36,12,6,6,12,2,2,8,8,2,8,2,2,36,8,4,4,4,8,4,210,6,20,30,18,6,2,2,6,2,6,24,6,6,
2,6,2,4,2,2,8,4,2,18,12,4,24,6,12,12,12,2,8,2,4,2,2,2,8,4,4,6,6,6,4,12,2,30,20
,18,6,2,6,6,24,6,6,2,6,6,2,2,2,2,6,6,6,6,2,2,2,2,2,2,6,2,18,2,2,12,2,4,4,4,4,4
,4,6,6,6,6,2,6,2,4,6,2,6,2,2,2,2,6,6,6,2,2,2,2,2,2,6,6,2,2,2,2,6,2,4,6,6,6,6,6
,6,2,2,6,6,2,2,2,2,2,2,6,2,2,2,2,2,2,2,6,2,6,6,6,2,2,2,2,2,2,2,2,2,2,2,6,6,2,2
,6,2,2,2,2,2,2,6,2,2,2,6,2,2,2],[1201200,26880,1200,12600,210,60,1680,4200,120
,880,192,36,140,12,2240,210,144,18,2,480,72,60,18,6,120,720,144,36,140,40,12,
12,12,40,12,210,24,6,6,6,18,60,60,96,6,6,40,12,6,440,112,24,48,32,6,18,12,2,6,
20,4,2,2,8,2,6,120,36,40,12,12,12,12,210,18,2,2,50,18,6,2,6,2,18,24,6,6,6,20,8
,4,4,4,4,2,2,2,18,6,24,12,24,96,6,24,32,12,12,6,8,2,4,6,8,4,2,8,4,2,4,4,6,6,6,
12,50,18,10,14,6,2,2,6,24,6,6,6,18,6,6,2,2,14,2,6,6,6,10,2,2,2,2,6,2,2,2,2,18,
6,24,12,6,8,4,4,4,2,4,4,4,4,4,6,6,6,2,6,2,2,6,6,6,2,14,6,6,10,6,2,2,2,2,2,2,2,
2,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,4,6,6,6,6,2,2,6,6,2,2,6,6,2,2,2,2,2,2,6,
6,2,2,2,2,2,2,2,2,2,2,6,2,6,6,2,6,2,2,2,2,2,2,2,2,2,2,2,2,6,6,2,2,6,2,2,2,2,2,
2,6,2,2,2,6,2,2,2],[1201200,15680,960,560,12600,210,60,1260,80,80,128,44,12,16
,140,108,1680,210,160,20,24,12,2,16,2,200,56,20,20,2,12,2,12,16,4,24,24,8,8,8,
40,4,12,8,210,24,6,6,6,18,8,8,12,8,2,2,2,180,20,8,32,2,2,12,4,8,2,2,12,2,8,2,
20,12,2,2,24,8,2,6,4,8,4,4,4,12,4,210,16,2,4,20,30,12,6,6,2,2,2,4,4,2,2,8,2,2,
2,4,2,4,2,8,4,8,2,2,4,2,6,4,8,2,4,2,2,8,4,2,24,2,4,2,4,4,4,4,6,6,6,4,16,30,20,
12,6,2,2,4,2,2,2,2,8,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,4,4,4,4,4
,4,4,2,6,2,4,2,4,2,2,4,2,4,4,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,4
,6,4,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2],[1201200,25760,480,1520,
12600,210,60,4200,200,720,96,48,48,176,84,420,84,2240,210,80,50,120,6,24,14,8,
4,440,56,50,20,14,6,8,720,24,24,24,120,28,100,56,36,12,12,28,24,210,24,6,6,6,
18,96,8,6,24,12,8,14,8,6,440,32,8,50,96,12,12,12,14,14,32,24,6,6,6,6,14,8,8,4,
4,6,4,8,12,12,120,12,28,24,12,12,12,210,6,8,14,24,2,2,2,50,50,6,6,6,6,6,2,2,2,
2,2,2,4,14,8,2,2,2,6,2,2,6,2,2,8,4,8,4,6,6,24,4,6,4,8,8,4,96,8,6,6,6,6,24,24,4
,6,14,4,8,4,8,4,12,12,4,4,4,4,6,6,6,12,210,14,50,50,6,6,6,6,14,6,14,2,2,2,2,2,
2,2,2,2,4,2,2,4,6,2,8,14,2,2,6,2,2,2,14,14,2,2,2,2,2,2,2,2,6,6,2,2,4,2,6,2,2,2
,2,24,4,6,8,4,4,4,4,4,4,4,4,2,6,6,2,2,2,2,6,2,2,2,2,2,6,2,2,50,6,6,6,14,6,2,14
,6,14,14,2,2,2,2,2,2,2,6,6,6,6,2,4,2,6,6,2,2,6,2,4,6,6,2,2,2,6,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,2,14,6,6,6,6,2,2,2,2,6,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,
2,2,2,2,2,2,2,2,2],[1201200,1680,240,80,16800,420,168,186,1680,16,16,40,8,2,2,
32,20,42,12,12,8,16,40,8,8,8,8,8,18,6,48,24,24,42,12,18,1680,42,12,42,12,4,4,2
,2,16,8,8,8,2,2,2,2,2,2,2,18,6,8,16,4,4,2,10,4,2,2,16,6,18,6,6,6,6,8,2,2,6,6,
42,6,12,18,18,6,2,2,2,2,8,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,4,6,8,2,2,2,
2,18,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2],[
1201200,16800,1040,12600,210,108,6,1680,1260,200,240,116,48,80,16,1680,210,20,
72,6,4,240,104,20,6,6,2,120,36,40,8,24,8,4,8,16,4,8,210,6,6,3,3,27,18,9,60,6,6
,8,24,12,20,2,2,180,20,24,24,2,2,36,12,6,6,12,2,8,8,8,2,2,36,8,4,4,4,8,4,210,6
,20,30,18,6,2,2,6,1,6,6,6,2,1,2,1,4,2,2,8,4,12,4,24,6,12,12,12,2,8,2,4,2,2,2,8
,4,4,6,3,3,4,12,2,3,30,20,18,6,2,6,6,6,6,2,6,6,2,2,2,2,6,6,6,6,2,2,2,2,2,3,9,
12,2,4,4,4,4,4,4,6,6,6,2,1,4,6,2,6,1,2,2,2,2,6,6,6,2,2,2,2,2,6,6,2,2,2,2,3,1,4
,6,6,6,6,3,2,2,6,6,3,2,2,2,2,6,2,2,2,2,2,2,2,1,6,6,6,2,2,2,2,2,2,2,2,2,1,2,3,3
,3,6,2,2,2,2,2,2,1,1,1,2,3,1],[1158300,23220,420,780,3780,22680,1260,300,240,
300,36,100,72,24,36,20,1260,36,180,12,1260,180,36,12,60,36,12,360,240,240,60,
72,24,24,180,12,4,36,12,16,20,12,12,12,1260,60,36,12,12,180,12,12,4,120,12,12,
8,8,8,60,4,60,60,120,4,4,12,12,12,4,8,8,1260,540,120,4,60,12,12,4,4,12,8,180,
16,4,24,12,12,12,60,60,120,4,4,4,4,4,8,8,60,60,120,4,4,4,4,8,12,12,4,4,4,4,4,8
,12,8,8,8,8,60,4,4,4,4,4,4,4,8,4,360,1260,180,60,60,120,12,12,4,8,4,60,60,12,
12,12,4,8,4,60,12,60,4,4,4,120,60,8,8,8,4,4,4,4,4,60,60,4,4,4,4,4,4,4,8,4,4,8,
4,8,4,4,90,60,12,4,4,4,12,60,4,4,4,8,4,4,4,30,60,4,4,4,4,4,4,8,4,4,4,90,30,6,2
,60,30,2,4,4,6,2,4,180,60,30,60,4,30,2,2,2,6,2,4,2,4,4,2,4,2,30,2],[1081080,
10584,1080,792,52920,2520,10584,264,264,264,72,216,216,72,72,72,840,840,360,72
,792,216,72,264,216,72,72,264,72,72,72,72,72,72,72,72,72,2520,840,72,24,72,24,
9072,540,120,792,72,72,72,72,72,72,24,24,24,72,24,24,60,264,72,72,72,72,72,72,
72,72,72,60,36,72,24,24,24,24,72,24,24,24,24,24,24,24,192,144,36,24,72,72,24,
72,24,24,24,24,24,24,24,24,60,12,12,72,72,72,540,72,12,12,24,24,24,24,24,24,24
,24,24,24,24,24,192,48,24,36,48,48,120,72,24,24,24,24,840,12,12,12,12,72,12,36
,36,12,24,24,24,24,24,48,48,24,24,72,24,12,12,12,12,120,36,12,12,24,60,48,24,
24,24,24,24,12,12,12,24,12,12,24,24,12,24,12,12,24,12,12],[1081080,10584,1080,
792,37800,504,432,10584,264,264,264,72,216,216,72,72,72,840,840,360,72,360,72,
72,264,216,72,72,264,72,72,72,72,72,72,72,72,72,144,840,72,24,72,24,7560,72,12
,144,60,36,360,72,24,24,24,72,72,24,24,24,72,24,24,24,264,72,72,72,72,72,72,72
,72,72,24,24,24,24,24,72,24,24,24,24,24,24,24,120,72,24,12,24,24,24,72,24,24,
24,24,24,24,24,24,24,72,72,72,72,36,12,24,24,24,24,24,24,24,24,24,24,24,24,120
,24,12,24,24,24,12,60,36,36,24,24,24,24,24,840,12,12,72,12,12,24,24,24,24,24,
24,24,24,12,72,24,12,12,24,12,12,24,24,24,36,12,24,24,24,24,12,12,24,24,12,12,
12,12,24,12],[1081080,31752,360,1560,75600,630,24192,2520,360,480,600,72,168,
96,48,216,72,24,1260,108,5040,6720,630,30,288,18,18,720,144,30,18,18,480,120,
96,24,48,48,24,360,72,24,72,72,24,24,24,24,72,1260,60,108,36,36,36,36,12,36,12
,60,12,36,36,36,12,630,5040,72,72,22680,630,360,18,48,24,6,6,360,30,96,96,72,
24,6,6,6,18,6,6,18,18,24,360,72,24,48,24,24,24,24,24,60,36,36,36,12,12,12,12,
12,12,12,12,36,36,12,12,12,12,12,36,12,12,12,630,18,30,30,18,18,18,180,36,72,
72,72,1260,630,30,108,18,18,240,30,72,18,18,24,6,96,6,18,6,6,6,6,24,24,24,24,
24,12,36,12,12,12,12,12,12,12,630,18,30,30,18,6,18,6,6,6,18,18,18,6,6,6,6,72,
12,12,180,18,24,6,12,6,60,30,36,12,18,6,6,6,36,18,18,36,6,6,12,24,6,5040,630,
12,30,18,6,6,6,18,18,18,6,6,6,6,6,6,6,6,12,12,6,18,36,12,6,6,6,6,6,12,12,180,
30,36,18,72,18,18,6,6,6,6,6,6,12,6,72,18,12,12,6,6,6,630,12,6,30,18,18,18,6,6,
6],[1081080,46872,120,1560,75600,630,22680,8232,360,1560,120,120,24,24,360,72,
2520,72,5040,10080,630,90,240,6,18,1440,48,90,18,6,360,1560,24,24,24,24,24,120
,120,120,360,72,2520,360,72,72,72,24,24,24,360,72,24,24,630,5040,72,72,22680,
630,240,6,48,18,6,1440,90,240,18,18,48,48,6,6,6,6,18,6,360,72,120,120,24,24,24
,360,72,72,72,24,24,24,24,24,24,24,24,72,24,24,630,18,90,90,6,6,18,540,12,12,
72,12,2520,630,90,72,18,6,360,90,24,6,18,48,6,240,6,6,6,6,48,48,6,18,120,24,24
,72,24,24,24,24,24,630,18,90,90,6,6,6,6,18,18,6,18,6,18,18,6,6,12,72,12,72,24,
6,6,18,360,90,24,24,6,6,6,6,6,72,18,18,18,48,6,5040,630,24,90,6,6,6,18,6,18,6,
18,18,6,6,6,6,6,6,12,24,6,72,24,24,18,6,6,6,6,6,540,90,12,6,72,18,6,6,6,18,6,6
,6,24,6,12,6,72,18,12,6,6,630,12,6,90,6,18,6,18,6,6],[1081080,39312,1320,75600
,630,24192,5040,360,480,840,96,36,2100,60,120,5040,8400,630,60,216,18,1080,60,
18,480,600,360,72,36,2100,240,60,36,36,120,24,12,120,240,24,36,630,5040,72,72,
22680,630,360,72,18,6,840,60,120,72,6,6,18,18,120,6,24,6,360,60,36,120,120,12,
12,12,120,240,12,24,24,24,24,36,24,24,24,12,12,630,18,60,60,18,360,24,72,72,72
,1890,630,60,54,18,120,24,6,6,300,60,18,72,72,18,6,24,6,24,6,24,6,120,12,12,24
,24,12,12,12,12,630,18,60,60,6,6,18,18,18,6,6,6,6,72,24,24,180,18,18,6,180,60,
30,18,18,6,6,18,60,6,6,6,24,6,5040,630,12,60,6,18,18,18,6,6,6,6,6,6,6,6,24,60,
6,6,6,18,18,18,6,6,6,6,6,6,6,360,60,72,18,18,6,6,6,6,6,6,6,6,72,18,24,6,24,6,6
,630,24,6,60,18,18,6,6,6],[1081080,24192,240,1320,75600,630,22680,672,200,360,
48,48,56,8,144,36,8,840,96,120,5040,5040,630,264,12,18,360,96,18,12,180,48,4,4
,12,24,36,8,4,24,630,10,90,30,18,14,18,14,6,12,8,6,120,60,4,12,24,12,12,630,
5040,72,72,22680,630,24,6,8,2,72,8,24,24,2,2,12,18,8,6,120,6,24,6,18,12,2,4,60
,12,6,4,4,4,2,12,6,8,4,4,2,4,2,2,18,6,12,4,12,2,6,8,6,6,2,6,12,6,2,630,18,12,
12,18,24,24,12,72,12,630,630,90,18,12,8,8,2,2,180,48,12,18,2,12,4,6,4,2,24,6,2
,4,6,4,4,2,2,2,2,6,4,2,2,2,2,6,2,630,18,12,12,2,2,6,18,6,2,2,6,6,12,24,4,18,6,
4,2,12,12,12,6,18,18,6,2,2,4,60,6,6,6,2,4,5040,630,2,12,2,6,18,6,6,6,2,2,2,2,2
,2,4,6,4,2,2,6,2,6,2,6,6,2,2,2,2,24,12,72,18,6,6,2,2,2,2,2,2,2,12,6,24,6,4,2,2
,630,4,2,12,18,6,2,6,2],[1081080,39816,360,984,52920,2520,9072,5040,120,144,
568,72,168,48,16,144,8,1680,48,120,8,840,9240,2520,120,168,24,984,120,24,144,
360,48,16,16,120,72,24,72,48,8,8,8,8,1680,120,48,16,16,24,24,8,120,8,8,8,120,
120,8,8,8,16,24,8,2520,840,24,16,24,16,9072,540,120,540,36,36,40,12,900,72,48,
24,80,12,12,4,60,20,24,540,12,12,12,60,120,24,16,8,8,8,120,120,8,8,8,8,8,120,
120,8,8,8,8,8,16,24,8,8,8,8,8,8,8,2520,24,120,24,24,180,12,12,4,12,8,4,24,8,8,
12,16,4,4,1680,540,48,120,12,8,540,12,4,4,12,12,12,12,144,48,12,8,12,12,12,12,
4,4,4,36,36,12,24,12,20,12,12,4,4,12,4,4,12,12,12,4,4,12,4,60,4,4,8,120,8,8,8,
8,8,8,8,8,8,540,120,24,8,24,8,4,12,4,4,4,4,8,12,12,12,4,4,4,4,4,120,16,8,120,
120,24,8,16,8,12,120,8,12,4,12,4,4,4,4,4,4,12,12,4,4,4,4,840,60,4,12,4,8,540,
12,12,12,12,12,8,12,4,12,4,4,4,4,4,120,8,8,120,8,8,8,8,8,8,4,180,12,24,16,12,4
,4,4,120,12,12,4,4,4,12,4,4,60,8,8,12,8,4,12,4,12,12,4,4,12,4,4,120,8,8,4,60,4
,4,4,12,4,4,4,4,4,4,8,12,4,4,12,4,4,4],[1081080,9576,360,1464,52920,2520,9072,
120,224,168,120,72,48,32,96,48,8,96,16,840,840,120,288,48,624,168,24,144,48,24
,32,16,8,120,16,24,8,8,8,8,16,96,16,16,16,8,8,8,16,8,16,16,8,8,2520,840,24,16,
24,16,9072,540,120,540,24,24,12,20,24,24,40,16,52,12,12,24,24,24,20,24,24,60,
120,16,8,8,8,8,16,16,8,8,16,16,8,8,8,8,16,8,8,8,8,8,48,60,36,24,24,8,12,8,4,24
,8,8,12,16,4,4,96,24,16,8,24,4,12,144,48,12,8,12,4,12,12,12,12,4,4,4,4,8,8,12,
4,24,4,8,4,8,4,12,4,60,4,4,8,16,8,8,8,8,8,8,540,8,8,24,4,4,4,12,4,4,4,4,8,8,8,
4,4,4,4,120,16,8,120,16,16,8,8,12,16,4,4,8,4,4,4,4,12,4,4,4,840,8,12,4,8,24,24
,12,12,4,12,4,8,4,4,4,16,8,16,8,8,8,8,4,24,24,16,12,4,4,4,120,8,4,4,12,4,4,60,
8,8,12,8,4,8,8,4,4,8,4,16,8,4,8,4,4,8,4,4,4,4,8,12,4,4,8,4,4],[1081080,10584,
120,1688,37800,126,108,7560,168,200,248,120,56,8,24,168,72,420,84,120,8,840,
840,40,60,216,36,4,6,360,104,2,18,6,2,120,8,8,32,24,8,16,24,24,24,24,40,40,72,
24,8,16,12,24,4,8,120,60,8,8,8,4,12,4,12,12,36,840,8,24,8,24,7560,42,12,18,6,
48,18,24,8,12,8,2,2,8,24,40,24,24,8,18,2,24,24,4,12,2,2,180,18,4,2,12,12,6,24,
8,8,16,8,60,12,12,4,4,4,4,4,24,12,8,4,4,4,4,8,8,4,12,8,4,4,8,8,4,4,36,2,6,6,4,
4,2,12,24,4,8,8,8,8,8,24,8,20,72,4,12,18,6,2,2,2,4,24,18,8,4,2,2,2,120,2,8,6,6
,2,2,2,8,4,2,12,8,4,4,16,8,8,8,2,8,4,4,8,4,12,4,4,12,8,4,4,2,4,6,2,2,8,12,4,4,
4,8,4,4,4,4,4,12,18,4,2,6,2,2,2,2,8,8,8,8,8,12,8,4,4,4,4,4,6,24,8,2,2,6,8,4,2,
6,2,12,2,2,4,2,60,6,4,2,8,4,8,4,4,4,4,4,2,4,4,4,840,6,2,2,2,4,12,18,2,2,4,2,4,
2,2,2,2,8,4,4,4,4,6,2,8,2,12,6,4,2,2,2,2,4,2,4,2,4,24,8,24,2,2,2,2,6,4,2,2,2,2
,2,2,2,4,6,2,4,2,8,8,12,4,8,4,4,2,2,2,6,2,2,2,6,2,2,8,4,4,4,4,2,2,2,2,4,2,2,2,
2],[1081080,9576,360,504,52920,2520,9072,120,144,168,24,72,48,16,8,84,36,8,8,
840,840,120,48,624,72,24,144,48,16,16,120,24,8,8,8,8,8,4,8,8,8,4,12,12,12,4,8,
8,2520,840,24,16,24,16,9072,540,120,540,24,12,24,24,8,16,12,12,4,24,16,8,8,24,
8,60,120,16,8,8,8,4,4,4,4,4,12,8,8,8,8,4,4,4,60,12,24,12,8,4,24,8,8,12,16,4,4,
8,4,8,4,144,48,12,8,12,12,12,4,4,4,8,8,8,8,4,8,8,4,8,8,4,60,4,4,8,8,4,4,4,4,4,
540,4,12,8,4,12,4,4,4,4,8,8,4,8,4,8,8,4,4,120,16,8,120,4,4,4,4,12,8,8,4,4,8,4,
4,4,840,12,4,4,4,4,12,12,12,4,4,8,4,4,4,4,4,8,8,8,4,4,4,4,24,16,12,4,4,4,120,4
,8,4,4,4,60,4,4,12,8,4,8,4,4,4,4,8,4,4,4,8,4,4,4,12,4,4,4,4],[1081080,15624,
360,1944,52920,2520,9072,504,120,384,664,72,168,48,32,216,72,8,84,36,840,1512,
120,336,48,1344,72,24,384,24,48,24,32,32,24,120,72,24,72,72,8,8,8,8,72,84,4,36
,12,12,12,12,4,12,4,4,4,12,12,12,4,2520,840,24,64,24,64,9072,540,120,540,144,
40,12,24,24,72,24,112,60,12,4,24,56,8,8,8,24,60,120,72,24,32,24,24,8,8,8,4,12,
12,12,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,12,4,4,4,48,180,12,24,12,24,24,4,24,24,
24,12,64,4,4,24,4,4,84,36,8,8,4,8,4,384,48,12,8,24,12,60,12,4,4,4,48,24,24,24,
8,8,8,24,4,8,4,8,4,4,4,60,4,12,12,4,8,24,4,12,4,4,4,4,4,4,4,540,8,24,8,12,4,24
,4,12,4,4,4,4,24,24,24,24,4,4,4,4,4,4,4,4,4,4,4,4,120,72,32,8,120,4,12,4,12,12
,4,4,24,8,4,12,8,4,4,4,4,4,4,4,4,840,12,12,4,4,4,4,4,8,24,60,12,4,12,24,4,4,4,
4,4,4,4,4,4,4,24,8,12,4,4,4,8,4,12,4,4,24,64,12,4,4,4,4,4,120,8,4,4,4,4,8,4,60
,4,4,12,24,24,4,4,4,4,4,4,4,8,12,4,12,4,24,4,4,4,4,4,4,12,4,4,4,4,4],[1081080,
13608,840,1496,37800,126,108,12096,168,360,432,504,72,200,128,48,72,24,24,84,
36,840,840,42,280,6,144,18,6,12,6,720,56,2,18,6,2,432,8,128,8,48,48,8,360,24,8
,72,24,24,24,24,24,24,84,4,36,12,12,12,12,4,12,4,4,4,12,12,12,4,36,840,56,48,
56,48,7560,42,12,18,6,540,48,18,24,12,2,2,56,72,24,2,48,36,36,12,16,6,2,6,6,2,
2,6,6,2,8,24,6,360,24,8,48,8,8,24,24,24,4,12,12,12,4,4,4,4,4,4,4,4,12,12,4,4,4
,4,4,12,4,4,4,12,2,12,6,6,4,2,36,24,8,12,56,24,24,36,48,12,12,8,4,4,42,2,6,6,4
,2,8,4,8,4,240,2,56,6,6,2,2,2,8,12,2,36,36,12,12,12,16,24,8,2,6,6,2,2,2,8,24,4
,8,4,8,4,4,4,6,2,6,2,6,2,2,24,8,4,12,4,4,4,4,4,4,4,12,18,6,4,2,2,2,2,2,8,12,36
,12,12,12,12,24,8,8,8,4,4,4,4,4,4,4,4,4,4,4,4,180,6,24,24,2,12,2,6,2,6,2,2,2,6
,6,2,2,2,8,12,2,12,8,4,4,4,4,4,4,4,4,840,2,6,2,2,2,2,2,2,4,4,2,12,2,4,6,6,2,2,
2,2,8,12,4,4,4,4,4,4,4,4,4,8,12,2,6,2,2,2,2,2,2,4,12,4,4,56,48,2,2,2,2,2,2,2,2
,6,4,2,2,2,2,2,2,2,4,6,2,4,36,24,8,12,4,2,2,2,2,2,2,2,2,6,2,2,6,2,2,8,12,4,4,4
,2,2,2,2,4,2,2,2,2],[1081080,10584,1560,824,37800,126,108,7560,40,136,248,24,
152,200,40,120,72,8,8,840,840,42,520,6,72,18,6,12,6,360,104,2,18,6,2,28,120,
104,8,24,8,24,24,56,24,24,28,40,40,8,24,28,8,4,8,8,8,8,4,4,4,4,4,4,8,8,4,4,4,
36,840,104,24,104,24,7560,1,18,1,3,18,40,8,16,2,2,104,24,8,2,24,48,16,40,6,2,6
,6,2,2,6,6,2,8,8,6,28,40,24,16,8,8,16,8,28,4,4,4,4,4,4,8,4,4,4,4,8,4,4,4,4,8,4
,4,4,4,8,4,4,4,12,2,12,6,6,4,2,40,8,16,104,8,8,24,16,16,40,8,8,1,1,1,1,1,1,4,4
,8,120,104,1,1,1,2,1,1,28,8,2,16,8,28,40,8,8,8,2,6,6,2,2,2,8,4,8,4,8,4,4,4,6,2
,6,2,6,2,2,28,8,4,8,4,4,4,4,4,4,4,18,1,6,4,2,2,2,2,2,28,8,40,8,8,8,28,16,8,4,4
,8,4,8,4,8,4,4,4,8,40,1,8,16,1,1,1,1,1,1,1,1,1,1,1,1,1,1,28,8,2,8,8,4,4,4,4,4,
4,4,4,840,1,6,2,2,2,2,2,2,4,1,1,1,1,6,6,1,1,2,2,1,28,8,4,4,4,4,4,8,4,4,4,28,1,
8,1,1,1,1,1,1,1,4,8,4,4,104,24,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,2,1,4,6,1,4,40,8,
16,8,1,1,1,1,1,1,1,1,1,1,1,6,2,2,28,8,4,8,4,1,1,1,2,4,1,1,1,1],[1081080,5040,
520,3780,1260,108,420,280,80,40,4,24,40,20,8,60,52,40,36,12,4,280,40,40,4,8,40
,40,4,40,40,40,4,36,4,420,12,40,4,12,28,4,4,8,4,4,4,12,24,4,20,4,4,4,40,40,4,
40,8,12,4,8,4,40,40,4,4,4,4,28,4,4,4,40,4,8,4,4,4,4,4,4,4,4,40,4,4,12,4,4,4,12
,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,40,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4],[1081080,21168,960,72,30240,1008,3024,1512,24,24,72,192,16,504,24,16,
140,4032,1008,48,144,48,24,72,24,8,16,504,24,24,8,8,16,8,24,24,16,8,8,1008,32,
12,28,3024,144,24,144,144,48,144,20,8,24,24,24,8,24,24,16,8,8,8,8,1008,48,4,4,
12,12,4,16,8,8,4,4,504,144,24,8,144,24,8,8,8,12,8,4,8,24,8,8,8,144,48,12,4,4,8
,4,8,4,4,4,4,4,4,4,4,4,8,4,8,24,24,24,8,24,4,4,4,4,8,4,4,8,144,4,4,4,8,4,4,4,4
,4,4,4,8,8,24,8,8,24,4,4,4,4,4,4,4,24,4,4,4,4,4,4,8,8,4,4,4,4,4,24,8,4,4,4,4,4
,4,8,4,4,4,4,4],[1081080,9576,360,504,52920,2520,9072,120,144,168,24,72,48,16,
8,140,12,40,8,840,840,120,48,624,72,24,144,48,16,16,120,24,8,8,8,8,40,20,8,8,8
,4,4,4,12,4,8,8,2520,840,24,16,24,16,9072,540,120,540,24,12,24,24,8,16,12,12,4
,60,4,12,20,16,8,60,120,16,8,8,8,20,4,4,4,4,4,8,8,8,8,4,4,4,60,12,24,4,4,12,8,
4,24,8,8,12,16,4,4,144,48,12,8,12,12,12,4,4,4,8,12,4,4,4,4,4,4,16,8,4,4,60,4,4
,8,8,4,4,4,4,4,540,4,12,8,4,12,4,4,4,4,8,4,4,4,4,4,4,120,16,8,120,20,4,4,4,4,8
,4,4,8,4,4,4,4,840,12,4,4,4,12,12,12,4,4,4,4,4,4,8,8,8,4,4,4,4,24,16,12,4,4,4,
120,8,4,4,4,4,60,4,4,12,8,4,4,4,4,4,8,4,4,4,4,4,4,4,12,4,4,4,4],[1081080,19656
,360,984,52920,2520,9072,1680,120,224,408,72,168,48,32,144,48,8,420,36,840,
2520,120,120,1224,120,72,224,120,48,24,32,32,24,120,72,24,72,48,8,8,8,8,48,420
,20,36,12,12,12,12,4,12,4,20,4,12,12,12,4,2520,840,24,16,24,16,9072,540,120,
540,204,36,24,72,12,20,180,72,48,24,48,36,12,12,36,12,12,48,60,120,48,24,32,24
,24,8,8,8,20,12,12,12,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,12,4,4,4,180,12,72,60,12
,12,8,4,24,8,8,12,16,4,4,420,36,224,48,20,8,48,20,12,12,36,12,12,12,12,12,12,
12,12,36,12,24,12,12,12,12,48,8,8,60,4,4,8,24,4,12,4,4,4,4,4,4,4,540,24,36,12,
4,12,4,4,4,4,8,4,12,4,4,4,4,120,48,12,32,8,120,12,20,12,4,12,12,4,12,12,12,12,
12,12,12,8,840,12,12,4,4,48,36,12,20,12,4,4,4,4,4,24,8,12,12,4,4,4,8,4,12,4,60
,12,24,16,12,4,4,4,120,12,8,12,12,4,60,4,4,12,8,4,4,12,4,4,4,4,4,4,8,12,12,12,
4,4,4,4,4,4,4,4,12,4,4,4,4,4],[1081080,30744,120,1048,37800,126,108,7560,5208,
120,1048,120,120,8,8,280,24,840,24,840,4200,40,120,600,40,22,36,30,6,4,120,
1048,8,8,8,8,8,120,120,120,280,24,840,120,24,24,24,8,8,8,120,24,8,8,36,840,8,
24,8,24,7560,42,12,18,6,120,18,40,18,40,10,4,6,2,600,40,40,40,120,40,40,6,6,6,
280,24,120,120,8,8,8,120,24,24,24,8,8,8,8,8,8,8,8,24,8,8,12,12,4,12,4,120,8,8,
8,8,8,8,24,8,840,24,120,22,8,6,10,4,4,2,2,40,40,2,6,120,40,40,40,40,40,40,40,6
,6,2,2,2,6,2,2,120,8,8,24,8,8,8,8,8,12,18,4,4,4,12,4,8,8,8,8,8,24,8,8,8,6,24,8
,6,6,10,4,2,6,40,120,8,8,24,40,40,40,40,6,2,2,840,2,6,2,2,8,6,6,12,4,4,4,4,2,4
,8,8,8,8,8,2,6,40,24,8,8,2,2,6,2,2,2,120,8,8,24,2,2,2,2,6,4,2,4,4,4,4,8,6,8,2,
8,8,24,8,8,8,2,2,2,2,6,2,4,6,2,2,8,8,8,8,2,2,2,2,8,2,2,2,2],[1081080,21168,264
,30240,1008,3024,1512,168,120,72,504,72,140,4032,1008,48,144,48,168,24,72,72,
504,24,72,72,72,72,24,72,1008,44,28,3024,144,24,144,144,48,144,20,8,24,24,24,
24,72,24,72,72,1008,48,4,28,12,12,20,12,4,504,144,24,24,144,24,24,8,12,8,4,8,
72,24,24,24,24,144,48,28,12,4,12,12,12,4,12,12,4,4,12,8,24,24,24,24,24,4,4,4,4
,4,4,8,24,144,4,12,4,12,4,4,4,12,8,8,24,24,24,24,4,4,4,4,4,4,4,24,12,4,4,4,4,4
,8,24,4,4,4,4,4,24,24,4,4,4,4,4,4,24,4,4,4,4,4],[1081080,23688,360,1752,30240,
1008,3024,1512,24,64,632,72,168,48,16,216,8,504,72,24,8,140,4032,1008,288,48,
384,96,48,64,72,48,16,16,24,72,24,72,72,8,8,8,8,504,24,72,24,24,24,24,8,24,8,8
,8,24,24,8,8,8,24,24,8,1008,140,12,28,12,28,3024,144,24,144,32,16,144,96,48,16
,48,144,16,20,8,24,24,16,8,8,8,24,24,8,8,8,8,8,24,24,8,8,8,8,8,24,24,8,8,8,8,8
,8,8,1008,48,48,4,4,12,12,4,12,12,12,4,28,4,4,4,12,4,4,4,4,504,144,72,24,16,8,
144,16,16,16,64,48,16,8,16,16,16,20,8,4,12,8,12,8,4,8,24,8,8,8,8,8,8,8,8,8,144
,48,12,4,4,4,4,4,4,4,4,4,4,4,12,12,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4
,4,8,24,16,8,24,24,24,8,24,8,16,24,8,16,4,4,4,4,12,4,8,4,4,4,4,4,4,8,144,16,16
,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,24,8,8,24,8,
8,8,8,8,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,24,16,4,4,4,4,4,4,4,4,4,4,4,4,8,
8,8,4,4,4,4,4,4,4,4,4,4,4,4,4,24,8,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4
,4,4],[1081080,47376,1320,52920,2520,9072,8316,120,280,1320,180,36,1932,36,120
,840,10416,2520,216,24,1560,24,24,280,1320,120,180,36,1932,280,36,36,36,120,12
,12,120,280,12,36,2520,840,36,36,9072,540,120,540,216,24,4,1560,216,48,24,24,
24,4,540,4,48,60,120,180,36,120,120,12,12,12,120,280,12,12,12,12,36,36,36,12,
36,12,12,2520,24,240,24,210,12,6,12,6,12,36,6,2,2,1932,540,36,120,4,540,48,4,4
,4,4,280,4,24,4,48,216,24,24,4,4,48,4,48,4,48,4,4,4,60,6,6,120,12,12,12,36,12,
12,12,12,540,240,24,24,24,12,6,12,36,2,6,2,2,2,2,2,120,36,120,280,36,12,4,120,
24,4,12,48,4,4,4,4,4,4,4,4,840,60,12,6,6,12,540,4,48,48,24,4,12,2,2,6,2,2,2,
120,120,12,12,36,12,12,12,4,210,6,36,12,2,2,6,120,48,4,4,4,4,2,60,12,12,6,12,
36,2,6,12,2,2,2,120,12,4,60,6,6,12,2,2,6,2,2,2,2,12,12,6,2,12,2,2,2],[1081080,
14112,720,1128,37800,126,108,7560,672,104,200,48,144,72,24,144,36,8,672,72,120
,840,1680,240,66,144,18,36,12,240,120,36,30,60,48,12,12,36,24,28,8,4,16,210,22
,54,26,6,18,30,10,6,12,8,6,120,100,4,12,24,12,4,36,840,48,12,48,12,7560,42,12,
18,6,12,18,36,18,8,12,8,60,96,24,16,24,12,12,12,30,36,12,6,18,8,12,180,18,4,24
,6,6,6,12,6,4,60,12,6,4,4,4,2,12,6,8,4,4,2,4,2,2,6,10,12,12,4,6,2,8,6,18,2,2,
12,6,2,36,12,12,12,12,30,12,18,2,4,48,12,4,4,2,2,2,210,22,54,6,12,18,6,4,12,4,
4,4,12,18,8,6,60,48,10,4,4,4,4,8,8,4,24,8,8,18,6,4,4,4,8,6,4,24,6,4,8,6,4,4,4,
6,6,6,6,4,4,2,2,2,6,2,4,2,2,2,2,6,2,12,18,12,12,12,12,12,4,2,12,12,4,4,2,2,2,2
,2,2,2,6,6,6,4,6,12,4,6,6,10,6,2,4,4,60,6,4,4,6,2,8,4,4,6,4,4,4,4,4,4,840,6,2,
6,6,2,12,18,4,6,4,6,4,12,4,4,2,2,2,2,2,2,6,6,6,4,2,2,2,6,2,6,2,2,2,2,2,4,30,18
,48,12,2,2,2,6,6,4,6,4,4,4,4,2,6,2,2,2,4,12,12,4,2,2,4,2,2,2,2,6,2,2,4,6,6,6,4
,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2],[1081080,17136,1800,37800,126,108,12096,672,
360,480,600,48,192,60,252,84,8,840,1680,42,216,10,12,600,72,36,30,480,360,24,
64,60,252,84,28,28,16,24,8,4,8,24,28,16,36,840,36,36,7560,42,12,18,6,540,12,18
,12,18,24,12,60,16,72,72,36,20,6,10,12,12,6,8,2,12,12,6,6,360,60,12,8,4,8,4,4,
24,24,24,8,4,28,16,8,8,24,8,4,4,4,12,12,4,12,30,18,4,36,2,36,36,2,2,2,210,42,
54,10,4,2,2,8,4,8,4,2,2,180,10,4,12,4,72,8,8,6,4,12,12,12,6,12,12,4,4,6,8,4,2,
8,4,2,4,4,6,2,2,8,4,4,24,8,4,4,4,4,12,18,4,4,4,12,4,36,2,4,4,6,6,2,2,2,2,2,180
,6,6,6,6,4,6,18,6,10,18,4,4,2,4,12,6,2,8,4,4,4,2,4,4,4,4,4,840,2,2,6,2,4,4,2,
12,4,6,6,4,4,4,4,2,6,2,2,2,2,2,4,2,2,2,6,18,2,6,2,2,2,2,6,2,4,30,18,36,2,2,2,2
,6,4,4,2,4,4,4,2,6,2,2,36,2,4,4,6,6,2,2,2,2,2,6,2,4,2,2,6,4,2,6,2,2,2,2,2,2,2,
2,2,2,2,2,2],[1081080,24192,720,968,37800,126,108,7560,3192,104,440,144,72,24,
120,36,8,672,72,8,840,3360,240,6,120,18,4,12,6,360,104,20,18,2,60,440,48,12,12
,36,60,8,4,16,630,82,42,6,26,30,18,6,6,8,6,4,60,8,4,12,16,12,12,36,840,48,12,
48,12,7560,42,12,18,6,48,18,24,8,12,8,6,360,96,24,48,12,12,12,2,32,8,6,6,4,8,2
,2,8,2,12,12,6,6,60,6,6,4,12,6,4,4,4,2,4,60,6,8,4,4,4,2,4,2,2,16,6,6,12,12,6,6
,6,6,2,6,6,4,2,12,2,12,6,6,4,2,90,14,4,2,4,48,12,4,4,2,2,2,630,2,42,4,6,4,2,2,
2,8,4,8,4,2,2,60,20,48,6,2,8,4,4,8,8,4,48,24,2,6,8,8,4,8,6,4,8,2,4,12,12,4,4,2
,4,4,6,6,6,4,4,2,2,6,2,2,6,4,6,2,2,2,2,2,12,18,6,4,2,2,2,2,2,4,2,12,12,4,4,2,2
,2,2,2,2,2,6,6,6,4,6,60,12,4,2,2,6,2,6,2,4,2,4,2,8,4,6,6,8,4,4,2,4,4,4,4,4,4,
840,2,2,2,6,2,4,2,2,4,6,2,12,6,2,2,2,4,2,2,2,2,2,2,2,4,2,2,2,6,2,2,2,2,2,6,2,6
,2,4,90,14,48,12,2,2,2,2,6,4,2,2,2,2,2,2,2,2,6,2,2,2,4,4,12,12,2,2,4,2,2,2,2,2
,6,2,2,2,6,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[1081080,17136,1800,52920,2520,
9072,756,120,280,600,144,252,36,252,84,8,840,2016,336,48,1200,72,24,280,120,72
,84,36,252,84,28,28,24,12,8,4,8,12,28,24,2520,840,36,36,9072,540,120,540,108,
36,24,4,60,48,112,48,36,60,4,8,16,12,36,60,120,36,36,8,4,8,4,4,12,12,12,8,4,28
,24,12,12,12,12,4,4,48,180,12,24,30,18,4,12,6,12,36,6,2,2,252,84,16,8,8,4,16,8
,280,4,4,12,48,24,24,24,12,4,4,36,12,4,4,8,8,8,8,4,4,60,6,6,8,4,4,12,12,4,4,4,
4,540,8,24,8,12,4,12,6,12,4,2,6,2,2,2,2,2,120,36,120,24,28,12,4,8,12,4,12,8,4,
4,8,4,4,4,4,4,840,4,12,6,6,4,16,36,12,48,4,4,4,2,2,6,2,2,2,8,8,4,12,12,4,4,12,
4,30,18,36,12,2,2,2,120,8,8,4,4,4,2,60,4,12,6,4,12,2,6,4,2,2,2,8,12,4,4,6,6,4,
2,2,6,2,2,2,2,4,12,2,2,4,2,2,2],[1081080,27216,1640,37800,126,108,12096,3192,
360,480,840,168,60,1092,60,120,840,3360,42,60,192,36,6,6,720,56,20,18,2,480,
440,360,96,60,1092,160,60,36,36,120,24,12,120,160,24,36,36,840,36,36,7560,42,
12,18,6,540,48,18,24,12,6,360,20,96,72,18,6,32,16,6,6,12,2,180,18,4,24,6,6,360
,60,60,120,120,12,12,12,120,160,12,24,24,24,24,36,24,24,24,12,12,36,2,12,12,6,
6,2,90,12,14,36,2,36,36,2,2,2,630,42,20,42,6,12,18,6,2,180,24,18,6,4,4,4,4,180
,20,6,2,8,12,72,48,6,8,16,12,12,6,24,6,4,24,6,4,24,6,4,4,4,6,2,2,120,12,12,24,
24,12,12,12,12,12,18,12,6,2,2,2,2,2,36,2,12,12,6,6,2,2,2,2,2,180,6,6,6,6,60,20
,18,6,6,6,6,18,2,60,6,8,12,6,6,24,6,4,4,4,4,4,4,4,4,840,6,2,2,2,12,12,18,2,12,
6,2,12,6,2,2,2,12,2,6,2,2,2,2,6,60,6,6,6,6,18,6,6,6,6,6,6,6,6,4,90,14,36,2,2,2
,2,6,12,6,2,2,2,2,2,2,2,6,6,6,36,2,12,12,6,6,2,2,2,2,6,6,6,2,6,2,2,12,2,6,2,2,
2,2,2,6,2,2,2,2,2,2,2],[1081080,12096,560,1320,441,54,4536,252,240,360,16,48,
104,24,84,36,24,672,72,120,840,147,45,33,15,18,6,15,45,11,2,180,48,12,4,4,8,24
,24,12,24,42,30,30,18,6,18,22,10,6,12,8,10,120,60,4,24,24,4,4,18,840,36,36,252
,9,4,27,9,3,3,5,15,9,3,15,5,9,11,3,3,9,15,3,2,27,1,3,9,6,18,4,2,12,60,12,6,4,4
,4,2,12,6,8,8,8,6,4,2,2,6,6,4,4,4,6,2,4,18,6,2,2,12,6,2,18,2,6,6,2,90,12,14,36
,2,36,36,2,2,2,42,30,6,18,9,4,1,9,3,9,3,1,1,1,1,4,24,1,3,1,3,1,3,1,9,9,3,5,3,3
,3,3,3,1,3,3,1,9,1,3,3,3,1,1,1,6,2,2,6,4,4,2,6,2,2,2,4,2,2,2,2,6,2,9,6,2,2,2,2
,36,2,12,12,6,6,2,2,2,2,2,18,4,2,4,4,6,2,6,6,8,2,1,12,3,1,6,2,3,3,1,3,1,1,1,1,
1,1,1,1,1,105,6,2,2,2,2,9,1,3,3,3,3,2,1,12,2,6,2,2,2,2,4,6,4,2,6,2,2,2,6,2,2,2
,2,2,1,15,7,9,2,2,2,2,4,3,3,1,1,1,1,1,2,3,2,2,9,1,3,3,3,3,2,1,2,2,4,2,2,1,3,1,
1,3,1,1,3,1,1,1,2,2,1,1,1,1,1,1,1],[1081080,12096,240,1640,15120,315,108,1512,
336,200,360,48,48,40,24,144,60,8,1512,48,120,840,336,105,105,120,9,36,9,6,360,
32,35,27,3,2,60,16,12,12,12,24,36,8,4,24,42,70,30,42,6,10,22,10,6,12,8,6,120,
180,4,12,24,4,4,36,840,36,36,1512,210,24,9,6,24,9,9,8,9,3,1,35,24,24,27,9,8,8,
3,1,9,3,3,3,3,9,8,3,2,360,9,1,24,3,3,60,6,12,6,4,60,12,6,4,4,4,2,12,6,8,4,4,2,
4,2,2,6,18,4,12,4,6,2,8,6,18,2,2,12,6,2,36,2,12,12,6,6,2,210,12,6,12,6,12,36,6
,2,2,42,70,30,6,24,9,6,1,24,9,3,8,3,1,1,1,1,1,60,16,18,1,1,3,9,3,3,3,3,3,1,1,1
,4,4,3,9,3,3,4,1,1,24,3,1,3,1,3,1,3,4,1,1,1,60,6,6,6,4,4,2,2,2,6,2,4,2,2,2,2,6
,2,24,9,12,6,2,2,2,2,2,12,6,12,36,2,6,2,2,2,2,2,6,6,6,4,6,4,4,6,6,18,6,2,1,4,
60,6,1,3,6,2,3,3,1,1,1,1,1,4,1,1,1,1,1,1,105,60,12,6,6,2,24,9,1,3,3,4,3,3,4,2,
1,12,2,2,6,2,2,2,6,6,6,4,2,2,2,6,2,6,2,2,2,2,2,1,35,3,9,12,2,2,6,6,3,1,3,4,1,1
,1,1,2,12,2,2,3,3,3,9,3,1,12,1,2,2,6,2,2,1,12,2,2,3,1,3,1,1,1,1,2,2,3,2,1,3,1,
1,1],[1081080,38304,240,840,75600,630,22680,5040,200,600,48,56,8,96,36,8,1904,
72,8,5040,8400,630,60,120,12,6,840,96,60,6,12,180,600,48,4,4,12,60,8,4,24,1890
,190,54,18,30,18,14,2,6,8,6,4,180,8,4,12,24,12,4,630,5040,24,24,22680,630,72,8
,6,2,840,60,72,8,6,6,24,2,2,12,6,8,8,2,8,2,60,18,2,4,12,6,4,4,4,2,4,180,6,8,4,
4,4,2,4,2,2,24,18,18,12,4,2,2,6,18,2,2,6,4,2,630,6,60,60,12,12,6,360,24,24,4,4
,1890,630,60,54,6,12,8,4,2,2,180,60,48,12,6,72,2,4,6,4,2,4,2,8,2,4,4,2,2,18,2,
2,2,4,6,2,2,2,2,2,630,6,2,60,60,12,12,6,6,2,2,6,6,6,2,2,2,2,24,4,4,18,6,4,2,
180,60,12,12,18,6,6,6,6,2,2,4,4,2,6,2,2,4,5040,630,2,60,12,6,2,2,2,6,2,6,6,2,2
,2,2,2,2,2,4,4,2,2,2,18,2,6,2,2,2,6,2,2,2,360,60,24,12,24,6,6,2,2,2,2,2,2,2,2,
24,6,4,2,4,2,2,630,4,2,60,12,6,6,2,2,2],[1081080,3024,1512,30240,1008,3024,24,
24,24,48,72,72,40,140,288,48,144,24,24,8,72,8,8,8,8,16,4,1008,24,12,4,3024,144
,24,144,16,16,20,8,24,8,8,4,8,8,4,48,8,4,4,4,4,8,4,4,4,72,16,8,16,24,12,8,4,8,
4,4,8,144,4,4,4,4,4,4,4,4,4,2,8,24,24,8,8,4,4,4,4,4,4,4,16,4,2,4,4,4,4,2,8,8,8
,4,4,4,4,4,24,4,2,2,4,4,4,4,4,4,8,2,4,4,4,4,4,4,2],[1081080,25200,1800,75600,
630,24192,672,360,480,600,48,144,36,644,108,8,5040,5040,630,360,30,600,30,480,
360,24,48,36,644,108,36,36,16,24,8,4,8,24,36,16,630,5040,120,120,22680,630,360
,24,18,6,120,72,24,18,30,6,8,2,8,2,360,36,12,8,4,8,4,4,24,24,24,8,4,36,16,8,8,
24,8,4,4,630,30,30,72,12,72,120,12,4,4,630,630,90,30,8,4,2,2,300,30,72,18,12,6
,8,2,4,2,4,2,8,4,4,24,8,4,4,4,4,630,30,2,18,6,30,18,6,2,2,72,12,4,4,4,4,4,180,
18,18,6,12,6,30,18,30,18,4,2,6,2,4,2,5040,630,4,18,6,18,30,2,6,2,2,2,2,2,4,4,2
,2,2,18,18,6,6,2,2,2,2,6,2,120,30,18,6,2,2,2,2,2,2,2,72,18,12,6,4,2,2,630,4,2,
30,18,6,2,2],[1081080,5544,840,408,30240,1008,3024,96,64,104,24,104,48,16,32,
24,8,140,24,24,384,96,24,48,24,84,64,48,16,16,24,24,28,32,8,8,8,24,12,8,8,4,4,
4,12,8,4,4,1008,140,28,4,28,4,3024,144,24,144,32,16,8,8,20,8,24,28,16,8,8,8,12
,4,4,12,4,4,8,4,4,4,4,4,24,24,48,4,16,4,4,28,4,4,4,4,4,4,16,4,4,12,4,64,48,12,
16,4,8,16,20,8,4,4,4,4,4,4,8,12,4,4,4,4,4,144,8,14,4,4,4,16,4,4,4,14,4,4,4,4,4
,2,2,4,2,4,2,4,2,2,2,4,8,24,16,8,4,24,4,4,4,4,4,4,4,4,4,4,16,14,4,4,4,4,4,2,2,
2,2,2,2,2,2,4,2,2,2,8,4,4,12,4,8,12,4,8,4,4,4,2,4,4,2,4,2,2,24,4,2,2,2,2,2,2,4
,4,4,4,4,4,4,4,2,2,12,4,8,2,4,4,2,2,4,2,2,4,4,2,2,4,2,2,2],[1081080,3024,480,
1608,30240,1008,3024,96,24,24,48,32,72,8,72,24,16,140,24,288,24,48,144,24,24,
84,24,24,8,4,8,72,24,8,12,8,12,4,4,8,12,8,8,8,12,4,1008,16,24,28,4,3024,144,24
,144,16,8,8,16,20,8,24,12,8,8,4,12,8,4,8,4,8,4,8,4,4,48,24,24,4,16,4,4,8,8,4,4
,8,4,4,72,12,16,4,8,16,24,12,4,4,4,12,8,4,4,4,4,12,4,8,4,4,4,144,8,14,4,4,4,2,
4,4,4,6,2,4,2,4,2,4,2,4,4,2,6,4,8,24,24,8,4,4,8,4,4,4,4,4,4,4,4,4,16,4,2,4,4,2
,4,4,4,2,2,2,4,2,2,2,8,4,4,12,4,8,12,4,8,2,4,2,2,4,2,4,4,4,24,2,4,2,2,2,2,2,4,
4,4,4,4,4,4,4,2,2,8,12,4,2,4,2,2,4,2,4,2,4,4,2,2,4,2,2,2],[1081080,30744,120,
600,75600,630,22680,2520,120,280,24,56,24,8,72,1484,60,120,8,5040,6720,630,30,
96,6,6,480,48,30,6,6,120,120,24,8,8,24,8,24,24,1260,60,36,12,12,12,12,4,120,
140,8,8,8,4,12,36,20,12,630,5040,24,24,22680,630,16,2,360,30,32,24,8,2,6,2,2,6
,120,6,8,2,32,2,6,8,8,60,12,4,4,4,4,60,12,12,4,4,4,4,4,12,24,8,4,4,8,12,24,12,
8,4,630,6,30,30,6,6,6,180,24,12,24,4,4,1260,630,30,36,6,6,120,30,24,6,6,2,8,32
,2,2,6,8,2,8,2,8,2,8,4,8,4,4,4,4,12,4,4,4,630,6,2,30,30,6,2,6,2,6,2,2,6,6,2,2,
24,4,4,8,2,60,30,12,4,6,2,2,2,12,6,60,6,4,2,12,6,2,8,2,5040,630,4,30,6,2,2,6,2
,6,6,2,2,2,2,2,2,2,4,4,2,4,2,6,12,4,2,2,2,4,2,180,30,12,6,24,6,6,2,2,2,2,2,2,4
,2,24,6,4,2,4,2,2,630,4,2,30,6,6,2,6,2,2],[1081080,5544,360,312,30240,1008,
3024,24,64,104,24,72,48,16,8,420,36,40,8,140,384,96,48,64,48,16,16,24,24,8,8,8
,8,40,20,8,8,8,4,12,12,12,4,8,8,1008,140,12,4,12,4,3024,144,24,144,32,16,120,8
,48,16,20,8,24,16,8,8,8,20,4,4,4,4,12,8,8,8,8,4,4,4,48,30,2,6,2,4,4,4,4,12,4,4
,4,4,4,4,4,64,48,16,8,16,8,8,16,8,20,8,4,4,8,8,4,4,4,4,4,144,24,4,4,4,4,4,4,4,
4,4,4,4,4,2,2,6,2,2,2,2,2,2,2,2,2,8,24,16,8,24,20,4,12,8,8,8,10,2,4,4,4,4,6,2,
4,4,4,16,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,8,8,8,8,4,4,4,4,4,4,4,4,4,2,2,2,2
,24,8,8,4,2,2,2,2,2,2,4,4,4,4,2,2,4,4,4,4,2,2,2,2,8,2,4,4,4,2,2,2,2,4,4,2,2,2,
2,4,2],[1081080,37296,1800,41580,630,9072,6216,120,360,1320,288,72,1232,72,40,
840,6048,630,288,30,1068,108,30,360,1080,120,216,72,1232,200,72,48,48,40,24,12
,40,200,24,48,630,840,36,36,7560,90,288,168,18,12,6,60,24,936,208,72,72,48,18,
30,20,6,156,12,2,32,4,2,15,120,180,72,40,40,12,12,12,40,200,12,24,24,24,36,48,
36,24,36,12,12,630,30,90,18,30,150,4,18,12,6,12,36,6,2,2,1050,90,54,6,156,32,
12,12,12,8,8,2,2,180,6,36,24,12,72,168,18,36,48,20,20,6,32,2,8,4,32,8,2,32,8,4
,2,12,8,4,8,15,3,3,3,3,40,12,12,24,36,12,12,12,12,90,90,18,10,18,6,18,6,30,18,
6,18,6,10,6,2,2,12,6,4,28,6,10,2,2,2,2,2,60,18,6,12,140,30,18,6,6,20,36,20,6,
32,8,8,8,2,8,4,4,4,12,8,8,8,8,4,8,4,4,8,4,8,4,4,840,15,3,3,3,1,3,1,1,1,1,3,3,1
,12,90,6,18,6,12,12,6,18,6,6,10,6,6,6,2,6,2,6,6,2,2,2,2,2,2,2,2,2,4,2,6,6,2,2,
2,20,6,18,18,6,6,4,6,8,6,4,4,8,4,4,4,4,150,18,36,3,3,1,1,1,1,3,3,1,1,1,1,1,6,
12,2,6,6,6,2,2,2,2,6,6,2,2,2,2,2,2,2,2,2,15,6,4,12,6,4,28,6,10,2,3,1,1,1,1,1,1
,6,2,2,2,2,2,2,2,15,3,3,3,3,4,2,6,6,2,2,2,1,2,3,3,1,1,1,1,3,3,1,2,3,1,1,1,1,1,
1,1],[1081080,12096,720,1480,3780,315,27,1512,336,160,360,48,80,120,40,136,48,
24,1092,76,40,840,168,105,120,75,48,27,9,9,9,3,108,52,25,27,27,9,1,60,48,20,12
,12,24,36,24,12,20,42,50,22,34,6,22,34,14,2,4,8,10,40,140,4,20,36,4,4,9,840,36
,36,210,6,18,27,6,9,22,9,12,12,10,7,1,5,3,6,16,12,8,25,12,6,30,10,21,7,10,6,12
,9,3,15,9,5,5,3,9,4,9,1,9,3,3,1,96,3,8,3,1,4,12,4,3,1,1,15,6,12,6,12,20,8,2,4,
4,4,2,4,2,8,8,8,6,4,2,2,6,14,4,12,4,10,2,8,18,18,2,2,12,6,2,9,9,1,3,3,3,3,3,3,
9,1,150,4,18,12,6,12,36,6,2,2,50,18,6,6,6,22,6,6,4,6,3,1,2,6,2,3,1,1,1,8,3,1,1
,1,18,6,6,6,8,3,3,12,6,4,4,2,4,4,4,12,6,9,3,5,3,3,9,3,3,3,2,2,9,2,3,7,1,4,4,3,
1,2,2,4,1,1,1,4,12,2,3,1,1,2,1,1,4,4,3,1,1,2,4,2,1,1,8,2,6,1,4,2,2,1,15,3,3,3,
3,2,4,4,2,6,2,6,2,4,2,2,2,2,6,2,6,3,3,3,3,3,1,3,1,1,3,1,9,1,9,9,1,1,1,3,3,1,1,
3,3,3,3,1,1,3,3,1,1,12,6,4,28,6,10,2,2,2,2,2,6,6,6,6,10,14,6,6,6,2,2,6,2,3,3,2
,4,4,2,2,1,3,1,1,1,1,1,2,2,2,2,1,1,6,2,2,4,2,2,8,6,6,2,2,6,2,4,1,1,4,2,2,1,2,2
,2,2,2,1,4,2,2,1,2,2,2,2,105,15,3,3,3,1,3,1,1,1,1,3,3,1,2,6,6,9,1,2,2,3,3,3,1,
1,1,1,1,3,3,3,1,6,3,3,1,1,3,1,1,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,2,6,6,2,
2,2,2,2,6,6,6,2,2,2,6,2,2,2,2,2,2,2,1,4,2,2,2,2,2,2,25,9,9,3,3,1,1,1,1,3,3,1,1
,1,1,1,6,2,2,3,1,3,1,2,2,2,6,6,2,1,1,1,1,1,1,1,1,1,1,1,2,3,2,2,3,3,1,7,5,3,1,3
,1,1,1,1,1,1,6,2,2,2,2,2,2,1,3,3,1,1,3,1,1,3,3,1,1,1,1,2,3,1,1,1,1,1,3,3,1,1,3
,1,1,1,1,1,1,1],[1081080,7560,120,968,37800,126,108,7560,8,8,16,72,12,72,4,4,
840,840,40,60,144,36,4,6,104,2,18,6,2,8,4,72,2,4,2,4,4,4,4,4,4,4,2,2,36,840,8,
8,7560,18,18,12,2,2,8,8,18,2,24,4,4,2,2,18,4,2,4,6,2,4,2,4,4,4,2,2,2,2,2,2,2,
36,2,6,6,4,4,2,24,8,4,4,72,18,2,18,2,2,2,2,8,2,2,4,2,1,1,1,1,2,4,2,4,2,4,2,2,6
,2,2,4,2,2,2,2,2,2,18,4,2,6,2,2,2,2,4,4,4,4,2,2,4,4,4,2,2,1,1,1,1,2,1,2,2,2,2,
840,6,2,2,2,18,2,2,2,1,4,2,2,4,2,1,1,1,2,1,2,1,24,8,2,1,2,1,1,1,2,6,2,1,1,1,4,
4,1,1,1,6,2,2,4,2,2,1,1,2,2,1,1],[1029600,14400,1440,7200,900,72,144,10080,280
,240,480,72,280,72,480,340,144,36,24,24,240,84,40,240,24,280,72,24,24,24,60,48
,24,36,12,280,60,18,16,12,4,240,16,12,4,48,48,16,12,36,4,16,4,16,4,8,24,60,12,
8,12,4,8,16,24,16,12,40,4,4,4,4,280,20,24,4,8,6,4,4,16,8,4,4,24,12,48,12,8,4,
16,4,8,4,8,4,12,6,12,6,16,6,4,4,4,8,8,12,4,12,12,4,4,4,8,4,4,24,4,8,4,12,4,4,4
,4,4,4,4,8,2,4,2,2,4,4,4,12,4,16,4,2,2,8,4,6,6,4,4,4,4,4,6,4,4,4,4,4,8,2,4,2,4
,20,4,6,4,4,2,4,2,4,4,4,2,2,2,2,2,2,2],[1029600,480,480,480,2520,36,240,32,16,
12,4,120,12,24,24,180,240,16,16,36,18,60,8,4,12,12,4,16,12,4,12,6,2,6,180,60,4
,4,18,4,4,2,12,12,4,4,6,6,2,30,4,2,2,30,2,6,2,6,2],[960960,20160,73920,2856,48
,192,20160,560,560,4480,4480,560,480,24,560,2856,192,192,48,48,48,48,48,4480,
20160,560,480,32,24,8,480,32,24,8,32,8,160,16,560,160,32,16,8,24,560,560,32,8,
192,48,48,48,160,16,560,480,32,24,24,24,8,8,8,24,8,8,16,32,8,16,8,4480,560,32,
32,8,8,8,48,16,32,8,24,8,8,160,32,16,8,8,8,8,560,16,8,32,8,8],[926640,6480,720
,48,32400,6480,24,48,48,72,24,720,720,240,48,36,24,48,24,24,24,24,720,48,48,
6480,24,48,24,12,24,24,24,24,48,24,18,48,24,24,24,12,24,6,24,24,24,6,24,24,3,
720,6,24,12,24,3,48,3,3,24,3,3,6,24,3,3,3],[926640,2160,720,144,756,48,48,16,
48,24,8,120,36,36,36,36,16,24,8,8,8,8,4,120,24,24,12,12,4,12,4,6,8,4,4,8,8,24,
8,4,4,36,12,4,4,4,4,6,6,6,4,1,8,4,4,4,4,4,2,4,4,2,2,2,6,1,4,2,2,4,1,2,2,2,2,1,
2,6,1,2,2,1,2,1,1,1],[900900,18900,180,900,37800,2520,288,3780,1260,60,180,340
,36,84,36,20,12,108,36,12,420,36,20,4,3360,840,144,24,1080,72,72,180,60,36,12,
20,20,12,60,12,12,12,12,36,12,36,36,12,12,12,12,36,420,20,36,12,12,12,12,4,20,
12,4,4,4,4,4,4,20,20,4,4,4,4,12,12,12,4,4,4,2520,288,288,3780,360,60,72,24,12,
360,144,72,24,40,24,120,48,48,24,8,24,24,8,120,8,48,8,60,36,12,12,12,12,12,12,
20,12,12,12,12,12,20,20,4,4,4,4,4,4,4,20,20,12,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4
,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,840,24,240,96,72,420,120,
36,20,8,4,120,8,8,8,8,180,36,24,12,24,24,24,48,24,8,8,8,48,8,8,8,8,8,8,288,12,
12,12,12,20,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4
,360,72,72,72,24,72,24,24,24,24,60,36,12,12,24,20,12,60,24,12,12,24,20,12,4,12
,12,4,4,8,4,8,20,4,8,12,4,8,8,8,8,8,8,8,8,8,96,12,4,4,4,4,4,4,4,4,4,4,120,8,24
,48,24,8,48,24,24,24,20,4,12,12,12,20,4,4,4,4,12,4,4,4,8,4,12,4,4,8,8,12,4,4,4
,4,72,4,60,24,24,12,24,24,8,8,8,8,8,8,12,12,12,4,4,4,4,4,4,4,4,4,4,4,4,24,24,
20,4,12,8,12,8,4,8,8,8,4,4,4,24,12,12,12,4,4,4,4,8,8,4,4,4,12,4],[900900,3780,
900,420,1260,81,72,3780,240,60,60,12,84,84,12,120,48,60,12,60,36,27,3,36,12,9,
210,60,84,12,12,60,12,12,48,12,12,42,48,12,12,12,42,60,30,12,12,12,12,6,6,6,6,
6,30,12,12,6,6,6,72,9,180,30,18,6,3,3,3,36,3,12,12,9,3,60,42,48,12,12,12,12,12
,12,12,12,42,30,6,6,6,30,6,6,6,6,6,12,6,6,6,6,12,6,6,6,6,12,6,6,6,6,12,6,6,6,
12,3,30,6,3,3,3,3,12,6,6,6,3,3,3,3,3,12,3,9,42,12,12,12,30,6,6,6,6,6,6,6,6,12,
6,6,6,6,6,6,6,6,6,6,18,3,6,12,3,3,30,6,3,3,3,6,6,3,3,3,3,3,3,3,12,6,6,6,6,6,6,
6,3,30,6,3,3,6,3,6,3,6,3,3,6,6,3,3,6,3,6,6,3,3,6,3,6,3,3,3,3,3,3,3,3],[900900,
22680,480,300,28350,1260,72,2520,2730,20,60,300,96,30,6,8,490,78,20,8,3920,840
,80,24,24,8,630,30,36,24,60,300,20,30,4,8,6,490,60,6,6,6,24,20,4,4,2,2,8,4,4,
20,60,8,14,6,4,4,6,1260,72,72,2520,150,20,12,2,150,102,12,2,30,12,30,6,6,360,
24,8,24,4,24,120,8,4,6,22,2,4,20,30,6,20,20,14,2,2,4,4,20,60,2,2,2,2,8,4,6,6,6
,4,4,4,4,2,6,2,2,6,2,2,840,8,110,24,6,24,8,8,8,36,490,120,6,20,4,2,120,8,8,4,4
,2,60,6,4,30,6,30,2,6,8,24,2,4,22,6,6,6,4,6,2,2,2,8,2,8,2,4,2,4,2,6,2,6,2,2,72
,4,20,2,2,4,4,6,4,4,4,2,6,2,6,2,2,2,2,2,24,150,12,12,12,2,40,24,8,12,12,18,2,6
,6,4,20,6,2,6,20,2,30,2,6,60,6,2,4,20,2,6,2,2,8,2,4,4,2,4,4,2,2,2,2,2,2,6,6,6,
6,2,2,2,2,2,2,2,2,2,2,2,2,24,8,8,4,2,2,6,2,2,2,120,2,8,22,6,4,6,2,8,2,2,6,6,2,
2,6,4,2,2,20,4,2,4,20,2,2,6,2,2,6,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,12
,4,4,2,20,2,2,2,6,8,2,2,6,2,6,2,2,2,4,2,2,2,2,2,2,2,2,6,4,4,2,20,4,2,2,2,2,2,6
,2,2,2,2,2,2,2,2,2,2,4,2,6,2,2,2,2,2,2,2,2,2,2],[900900,22680,460,28350,1260,
72,2520,2730,140,140,300,30,6,490,30,60,3920,840,40,24,630,46,40,36,4,140,60,
300,60,30,6,490,60,6,6,14,60,60,6,2,60,60,60,60,6,6,2,1260,72,72,2520,150,20,
12,2,150,102,12,14,30,12,30,6,14,360,40,24,8,120,30,22,6,4,20,30,6,20,20,20,6,
6,2,60,60,60,2,2,2,6,6,6,6,60,2,6,2,2,2,2,2,840,40,110,6,24,8,4,4,36,4,490,120
,6,20,20,120,8,60,20,6,2,14,30,6,30,6,6,8,24,22,6,14,6,6,4,6,6,6,2,8,8,6,6,6,6
,6,6,2,72,60,20,20,6,2,20,20,6,2,6,2,2,2,2,2,2,2,8,150,12,12,12,2,40,40,12,12,
18,2,6,4,6,4,20,6,2,6,20,2,30,2,6,60,6,2,20,20,2,6,2,2,8,6,2,6,2,2,6,6,6,6,6,6
,6,2,2,2,2,2,2,6,2,2,2,24,8,4,20,6,2,2,2,2,2,120,4,22,6,4,6,2,2,8,2,6,2,6,2,2,
6,4,2,2,20,20,20,2,20,2,2,6,6,2,2,6,2,6,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,8,12,4,4
,2,20,2,2,2,6,8,2,6,2,6,2,2,2,2,20,6,2,2,2,2,2,2,2,6,4,4,2,20,20,2,2,2,2,2,2,6
,2,2,2,2,2,2,2,2,2,20,2,2,2,2,2,2,2,2,2,2,2,2],[900900,18900,660,1060,28350,
1260,72,2520,1260,140,120,340,36,116,120,40,108,28,420,36,60,12,3430,840,110,
40,186,24,48,8,12,450,70,40,36,24,4,140,40,60,24,8,24,60,36,12,36,36,28,28,12,
12,12,420,20,36,12,12,60,12,12,4,60,12,12,12,12,12,60,12,60,20,60,12,12,12,12,
12,4,12,12,1260,72,72,2520,150,20,12,2,150,36,12,14,22,18,8,120,22,18,6,40,62,
2,30,10,24,20,14,8,24,8,8,24,4,4,120,12,6,4,12,6,20,28,12,8,4,12,4,20,20,20,4,
4,4,4,4,4,4,60,20,60,12,12,12,12,12,12,12,4,4,4,4,4,12,12,12,12,12,12,60,12,12
,12,12,12,12,4,12,12,840,48,8,12,12,40,70,24,6,24,4,4,4,8,8,36,4,420,120,36,20
,20,12,4,4,2,4,2,120,4,2,8,8,12,2,6,6,6,4,40,24,20,10,4,4,2,14,6,10,6,2,6,2,2,
10,12,6,6,14,14,6,6,6,8,6,8,12,6,2,6,4,6,6,2,6,4,6,6,2,6,6,8,6,2,6,2,6,6,72,4,
60,12,12,12,20,20,4,4,4,4,4,4,4,4,20,20,4,4,4,4,4,12,4,12,4,4,4,12,150,12,12,
12,2,40,24,8,4,12,4,8,4,4,4,12,24,4,4,6,4,8,2,2,4,6,4,20,2,8,4,4,20,2,2,20,12,
4,12,20,4,4,4,4,4,8,2,2,20,4,2,14,6,2,2,6,2,6,4,2,2,6,6,6,2,6,6,2,2,2,6,6,8,6,
6,2,2,6,2,6,2,2,2,6,2,6,6,2,6,2,2,2,2,6,6,6,6,6,6,24,8,12,4,4,20,4,4,4,4,4,12,
4,4,4,4,120,12,4,4,4,2,2,12,6,2,2,2,6,2,2,2,4,2,8,10,2,2,6,2,4,2,2,20,20,4,4,2
,2,4,20,4,2,20,4,4,4,2,2,4,4,4,6,2,2,2,2,2,2,2,2,2,6,6,4,2,2,2,2,2,2,2,2,6,2,6
,6,2,2,2,6,8,12,4,4,4,4,4,20,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,8,2,2,2,2,2,2,20,4,
4,4,2,2,4,4,6,2,2,2,2,2,4,2,2,2,2,4,6,4,4,2,20,4,2,2,20,4,2,2,4,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,4,2,2,20,4,4,2,4,2,2,4,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2
],[900900,18900,180,900,28350,1260,72,2520,1260,20,40,340,36,84,24,8,108,4,420
,132,20,4,3430,840,30,186,48,12,450,54,36,40,60,24,8,8,20,36,12,36,36,4,4,4,4,
420,20,36,12,12,12,12,4,20,4,4,4,20,20,4,4,4,8,16,12,12,20,8,1260,72,72,2520,
150,20,12,2,150,36,12,2,22,10,120,6,18,6,62,2,6,2,24,20,2,24,4,120,20,2,4,24,
12,2,20,12,8,4,4,4,20,20,16,4,4,4,4,8,4,20,20,4,4,4,4,4,12,12,4,4,4,4,4,4,8,4,
8,4,4,840,48,12,12,70,6,24,4,36,420,120,36,20,12,4,4,2,120,4,2,8,8,12,2,2,2,4,
40,24,10,4,6,10,2,2,6,2,2,2,12,6,6,2,2,2,2,6,8,12,2,2,4,8,2,2,4,2,4,2,2,2,8,2,
4,2,2,4,2,2,72,4,20,4,4,4,4,4,8,4,4,4,8,4,4,8,4,4,32,150,12,12,12,2,4,12,4,12,
24,4,6,2,2,6,4,20,2,8,4,20,2,2,20,12,4,12,4,8,2,20,4,2,6,2,2,2,2,4,2,2,2,2,2,4
,2,2,2,2,8,2,2,2,2,4,2,2,2,4,2,2,2,2,2,2,4,2,2,2,2,24,12,4,4,8,4,4,4,120,12,4,
4,4,2,12,6,2,2,6,2,2,8,2,10,2,6,2,4,2,2,20,4,2,4,20,4,4,4,2,2,4,4,2,2,2,4,2,2,
2,4,2,2,2,2,2,2,2,2,2,2,2,8,12,4,4,4,20,2,2,2,4,2,2,2,2,2,2,2,8,2,2,2,2,4,2,2,
2,4,2,2,2,2,6,4,2,4,20,4,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,8,4,2,2,2,2,2,4,2,2,2
,2],[900900,3780,420,260,37800,2520,288,3780,120,60,60,12,52,52,12,48,24,20,4,
20,12,360,104,20,72,12,8,70,60,52,12,12,60,12,12,24,12,12,14,24,12,12,12,14,20
,10,4,4,4,4,2,2,2,2,2,10,4,4,2,2,2,2520,288,288,3780,360,60,72,24,12,360,72,48
,24,24,4,4,4,4,8,60,14,24,12,12,12,12,12,12,12,12,14,10,2,2,2,10,2,2,2,2,2,4,2
,2,2,2,4,2,2,2,2,4,2,2,2,2,4,2,2,2,20,12,8,8,72,8,10,2,60,52,10,24,2,12,4,4,2,
28,24,24,4,4,8,4,4,288,14,12,12,12,10,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,
360,72,72,72,24,72,4,4,60,24,12,24,12,12,2,2,60,24,12,12,24,2,2,4,4,4,8,12,2,2
,2,2,2,2,4,4,4,24,4,4,4,10,2,14,2,12,12,10,2,4,2,2,12,2,2,4,4,2,72,2,60,24,24,
12,24,24,12,12,12,2,2,2,2,2,2,4,10,2,4,12,2,2,4,4,2,2,2,2,24,12,12,12,2,2,4,2,
2,2,2,12,2],[900900,32760,480,780,28350,1260,72,2520,5670,20,140,780,96,90,18,
8,630,42,20,8,5880,1260,80,108,24,12,8,1050,6,12,24,140,780,20,90,4,8,18,630,
140,18,18,18,24,20,4,4,6,6,8,4,4,20,140,8,10,18,4,4,2,1260,72,72,2520,150,20,
12,2,150,108,12,2,6,2,1050,108,36,24,6,6,4,24,12,12,2,150,2,4,24,36,2,20,90,18
,20,20,10,6,6,4,4,20,140,6,6,6,6,8,4,18,18,18,4,4,4,4,6,18,6,6,2,2,2,1260,12,8
,240,24,72,8,8,12,630,150,18,20,2,4,2,150,36,2,2,2,2,4,2,2,140,2,4,6,2,2,36,
108,2,4,12,6,6,2,2,36,2,2,36,2,2,36,24,2,4,2,2,4,2,2,2,2,2,4,2,2,72,4,20,6,6,4
,4,2,4,4,4,6,18,6,2,6,6,6,2,2,8,150,12,12,12,2,240,24,12,8,12,12,12,12,12,20,
18,2,20,2,2,140,18,6,4,2,2,20,6,2,6,36,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,4,2
,2,2,2,4,2,4,2,2,2,2,2,2,2,72,8,4,2,2,2,2,6,2,150,2,2,8,12,36,12,2,36,12,2,12,
12,2,12,12,20,4,2,4,20,6,6,18,2,6,2,2,6,2,6,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,72
,8,8,12,2,20,2,2,2,36,2,2,2,12,2,2,2,2,2,2,4,6,2,2,2,2,2,2,2,8,12,12,20,4,2,2,
6,2,2,2,2,2,2,2,2,2,2,2,2,12,4,6,2,2,2,2,2,2,2,2,2,2,2],[900900,32760,940,
28350,1260,72,2520,5670,140,220,780,90,18,630,90,60,5880,1260,40,108,12,1050,
22,40,12,4,140,140,780,60,90,18,630,140,18,18,42,60,60,18,6,60,60,140,60,18,18
,6,1260,72,72,2520,150,20,12,2,150,108,12,14,6,10,1050,40,108,36,6,6,12,12,2,
150,10,36,6,20,90,18,20,20,20,18,18,6,60,140,60,6,6,6,18,18,18,18,60,6,18,6,6,
6,6,6,1260,12,40,240,72,4,4,12,4,630,150,18,20,20,2,150,36,10,2,2,2,6,140,20,2
,2,14,6,2,6,36,108,12,6,6,2,2,36,6,2,6,36,2,36,2,2,6,2,6,6,2,6,2,72,60,20,20,
18,6,20,20,18,6,18,6,6,6,6,6,6,6,24,150,12,12,12,2,240,40,12,12,12,12,12,4,12,
20,18,2,20,2,2,140,18,6,20,2,2,20,6,2,6,36,2,2,2,2,6,2,2,2,2,6,2,2,6,2,6,2,2,2
,2,2,2,2,6,2,6,2,2,72,4,20,18,6,6,6,6,6,150,2,12,12,36,12,2,2,36,12,12,12,2,2,
12,12,20,20,20,2,20,6,6,18,2,6,6,2,2,6,2,6,2,2,2,2,6,6,2,2,2,2,2,2,2,72,12,4,4
,6,20,2,2,2,36,2,2,12,2,2,2,2,2,2,2,20,2,6,6,2,2,2,2,2,12,12,4,20,20,2,2,6,2,2
,2,2,2,2,2,2,2,2,2,2,12,20,6,6,2,2,2,2,2,6,2,2,2,2],[900900,39060,180,1860,
28350,1260,72,2520,8400,20,200,1860,180,180,24,24,480,60,4,700,60,20,4,6510,
1260,30,318,60,12,1470,78,60,200,1860,24,24,24,24,24,20,180,180,180,480,4,4,4,
4,60,700,200,60,60,60,24,24,24,20,8,8,4,4,4,4,4,20,200,4,4,4,4,8,60,24,24,1260
,72,72,2520,150,20,12,2,150,318,12,2,30,12,78,6,14,1470,30,30,30,318,46,6,6,78
,78,2,12,60,14,12,150,14,2,4,6,46,2,4,20,480,60,180,180,24,24,24,4,4,4,20,20,8
,8,8,4,4,4,4,4,4,4,4,20,200,8,8,8,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,60,60,60,
24,24,24,24,24,24,24,24,8,60,4,4,4,24,24,8,8,4,4,1260,60,12,12,300,12,72,12,60
,700,150,60,20,14,4,4,2,150,6,6,6,6,46,14,14,14,14,2,2,2,2,2,4,4,200,24,14,4,
78,14,30,2,6,46,6,6,6,6,6,6,6,318,30,30,30,30,30,2,2,2,2,12,78,78,14,14,12,46,
6,6,6,4,14,2,2,2,6,6,6,46,2,2,2,14,4,46,6,6,6,2,2,14,2,4,2,14,6,2,2,14,2,6,72,
180,4,24,20,8,8,4,4,4,4,4,4,4,4,4,4,4,24,4,4,4,8,60,4,4,4,4,4,4,4,4,24,24,24,
24,24,8,4,4,4,4,4,4,4,4,8,8,4,4,4,4,4,4,8,4,4,4,150,12,12,12,2,300,12,12,60,4,
12,12,12,60,12,12,60,4,12,12,4,4,20,60,2,6,24,4,20,2,30,2,6,200,24,24,60,8,4,4
,14,6,2,20,4,2,30,30,30,78,14,2,2,2,6,6,6,6,2,6,8,2,6,6,6,6,6,6,6,6,6,6,6,46,
14,14,14,2,2,2,2,2,2,2,2,2,2,2,4,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,14,14,2,2
,2,6,6,6,6,6,6,2,2,2,2,2,6,6,6,14,2,2,2,2,2,2,2,2,2,2,2,6,6,6,14,2,2,2,2,2,6,6
,6,14,2,2,2,2,2,2,2,2,72,12,12,4,24,4,4,4,4,8,4,4,4,4,4,4,4,4,150,14,4,4,4,2,
12,12,46,6,4,12,2,46,6,12,4,2,12,60,4,4,12,12,14,12,4,12,4,4,12,4,4,4,4,4,4,4,
4,4,20,4,2,24,4,20,8,4,4,4,4,2,2,30,2,6,8,60,24,24,4,4,6,2,4,4,8,4,2,2,6,2,2,2
,2,2,2,2,6,2,6,8,4,2,2,2,6,6,8,2,4,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,6,6,6,6,6,6,6,14,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,72,12,12,12,4,20,2,2,2,6,46,6,6,6,14,2,2,4,4,2,12,4,12,4,14,
2,6,2,2,6,14,2,6,2,14,2,2,4,4,4,4,4,4,4,24,4,4,4,4,8,4,4,4,2,2,6,2,2,2,4,2,2,2
,4,4,2,2,2,2,2,2,2,2,2,2,2,12,12,12,4,4,4,20,4,2,2,4,6,2,8,2,2,2,6,2,2,6,2,2,2
,2,2,2,6,6,6,14,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,4,2,12,4,4,4,4,8
,4,2,4,2,6,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2],[900900,
23940,420,1860,15750,315,36,45,5040,3500,60,360,1060,132,228,64,48,340,100,12,
560,64,20,4,2310,245,70,45,206,9,15,25,3,9,12,510,102,15,9,39,3,3,360,660,64,
40,48,48,40,60,132,84,132,220,12,12,12,12,100,560,140,64,48,48,28,28,20,20,16,
8,4,4,4,8,4,20,140,4,4,4,8,16,48,28,20,210,15,12,18,6,1260,35,15,9,5,3,2,1,1,
240,9,68,21,6,28,11,46,10,24,7,1,3,1,360,46,34,22,15,114,72,16,12,21,7,60,32,6
,3,1,9,3,3,3,19,25,22,3,1,3,3,5,3,90,3,10,2,3,3,10,26,2,5,1,1,60,160,100,60,84
,48,40,40,12,12,12,20,20,8,8,8,4,4,4,4,4,4,4,4,20,140,8,16,16,16,4,4,4,4,8,8,8
,8,8,4,4,8,4,4,8,8,40,48,40,28,20,20,20,20,16,16,20,16,40,4,8,8,16,20,8,8,4,4,
210,15,18,3,4,6,2,3,30,14,5,5,9,9,1,1,8,2,6,18,3,3,210,35,15,15,34,7,3,5,3,1,3
,1,3,3,1,2,1,1,90,10,6,6,4,26,3,1,10,10,10,8,3,1,1,1,2,4,2,2,4,3,3,3,1,60,15,
28,3,7,1,3,3,1,1,18,24,16,6,10,1,3,72,16,10,12,12,12,10,10,68,28,16,22,10,16,6
,6,6,6,9,3,3,3,19,3,1,1,1,18,32,3,22,22,5,7,1,26,10,6,6,5,1,8,2,4,2,1,1,1,10,6
,6,26,2,2,4,3,1,1,8,3,1,26,10,6,6,3,1,1,4,2,8,2,3,1,2,10,4,4,1,2,8,4,6,1,6,60,
12,40,20,8,8,4,4,4,4,4,4,4,4,4,4,4,16,8,4,4,16,40,4,4,8,8,8,8,8,8,16,16,16,16,
20,8,4,4,4,4,4,4,4,4,8,8,4,4,4,4,4,4,8,4,4,4,15,9,3,3,3,5,3,2,2,2,1,30,14,6,5,
6,3,1,1,1,1,9,3,6,1,4,1,3,2,18,3,2,1,18,18,3,3,1,2,1,3,6,3,1,1,1,3,1,1,6,1,6,3
,3,3,3,6,2,1,2,1,30,1,10,1,3,1,12,3,3,7,6,1,1,1,1,10,6,10,40,15,16,8,3,3,3,3,3
,18,1,7,7,7,12,1,1,1,1,6,1,1,1,3,1,3,1,3,10,1,2,1,1,1,10,16,10,18,22,6,6,6,12,
10,10,10,1,3,4,4,4,1,1,1,1,10,6,6,6,6,6,6,4,4,4,4,26,1,3,1,1,1,1,1,8,8,8,4,2,4
,4,4,4,4,2,4,2,2,3,1,4,4,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,4,10,8,4,4,4,4,4,4,6,4,
4,1,1,2,2,4,4,4,4,6,4,8,1,2,2,2,2,2,2,2,2,4,4,4,6,4,4,8,1,2,2,4,4,4,4,4,6,8,1,
2,2,2,2,2,2,2,2,6,6,2,2,2,4,16,8,4,4,4,8,4,4,4,4,4,4,4,4,15,5,3,3,1,3,3,1,1,1,
1,2,2,2,1,18,3,2,1,3,7,5,1,3,1,2,2,3,1,3,1,3,3,7,5,1,3,1,3,2,2,1,3,1,1,6,3,6,3
,1,1,1,1,1,6,6,6,2,1,1,1,1,3,3,1,3,1,6,3,3,1,2,1,6,3,1,1,3,2,6,1,2,1,1,1,2,1,2
,1,2,1,2,2,1,1,1,2,1,2,1,1,2,1,1,2,1,1,1,1,1,4,6,1,3,10,4,1,1,2,2,2,2,1,1,1,1,
1,1,1,1,1,1,10,6,10,1,12,10,4,8,1,1,1,1,7,3,3,3,3,3,6,6,1,3,1,1,1,2,1,1,4,2,1,
1,1,1,1,4,4,2,2,2,2,2,2,4,4,4,4,4,1,1,1,1,2,1,1,4,4,4,4,1,4,1,1,1,1,1,2,2,2,2,
2,2,2,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,6,4,4,4,8,1,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,3,2,2,2,2,2,4,1,1,
1,1,3,1,1,1,3,5,7,3,3,1,1,1,1,1,1,3,1,1,1,3,3,3,3,1,1,1,1,1,2,2,1,1,2,6,1,1,6,
3,1,2,1,1,3,1,1,1,3,3,1,1,1,1,1,1,1,1,1,1,3,3,3,1,3,1,1,1,3,1,1,3,1,1,1,1,1,2,
1,2,1,2,1,1,1,2,2,2,1,1,1,1,1,1,2,4,6,3,1,1,2,1,2,1,4,1,1,1,1,1,1,1,1,2,2,2,1,
1,4,4,2,2,2,2,1,2,2,2,2,2,1,1,2,2,2,2,2,2,2,2,2,2,2,3,2,3,3,2,2,2,1,2,1,2,1,1,
1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,3,1,1,1,1,3,1,1,1,1,1,1,1,3,3,3,1,1,1,1,1,
1,1,1,1,1,3,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,2,1,1,3,2,2,1,2,1,1,2,1,1,1,2,1,1,1,1,1,1,1,
1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,2,1,1,1,1,1,1,1,1,1,1,1,1],[864864,12096,1440,60480,5040,12096,480,480,480,
1344,24,1344,288,48,1440,480,480,5040,1344,96,24,96,12096,1440,480,1440,96,96,
240,480,48,240,96,96,96,480,96,24,240,24,24,1440,24,96,480,480,24,24,1344,24,
96,24,96,24,96,96,480,240,96,24,24,24,96,24],[864864,12096,1440,504,108,336,
480,64,144,1344,24,168,24,12,72,32,48,36,1344,96,24,96,336,24,16,24,24,8,24,16
,4,12,16,96,16,48,8,24,24,8,8,24,4,16,16,16,24,24,168,4,4,16,8,8,24,24,16,16,
12,8,8,4,8,8,4],[864864,12096,1440,30240,252,216,6048,168,240,480,72,24,1344,
24,672,84,144,12,12,720,36,240,24,24,72,1344,96,24,96,6048,168,48,36,24,48,36,
48,16,12,12,120,12,24,4,24,12,48,8,48,96,8,240,24,12,8,24,120,12,12,4,12,4,48,
36,4,48,8,24,24,24,24,24,672,84,4,48,8,12,4,12,8,24,48,12,48,8,24,24,12,12,8,
12,4,4,4,12,4,12,8,4],[864864,20160,1440,60480,504,18144,504,240,480,72,504,72
,4144,24,4032,504,288,24,480,24,240,24,504,72,24,24,24,504,4144,120,24,120,
18144,504,96,24,40,4,24,504,24,24,24,4,24,120,4,4,4,504,504,72,24,240,24,24,40
,4,12,4,12,4,504,24,24,24,4,4,4,4,4,4,4,24,24,24,24,4032,504,24,4,12,4,24,4,4,
4,4,24,96,24,24,4,4,4,4,4,4,4,4,4,4,12,4,504,4,12,4,24,4,4],[864864,18144,480,
480,60480,504,18144,504,96,96,72,504,72,4144,24,4032,504,96,24,192,24,96,24,
504,72,24,24,24,504,4032,16,8,24,18144,504,48,24,40,4,24,504,24,24,48,24,4,8,8
,4,4,4,504,504,72,24,96,24,24,8,4,4,4,12,4,504,24,24,8,4,4,4,4,4,4,4,24,24,12,
4032,504,24,4,4,4,24,4,4,4,4,4,48,24,8,4,4,4,4,4,4,4,4,4,4,12,4,504,4,4,4,24,4
,4],[864864,24192,96,60480,504,18144,2016,48,96,1008,4144,24,5376,504,24,288,
24,48,96,1008,48,48,504,4032,16,32,18144,504,288,24,40,4,48,504,24,24,144,24,
16,16,8,8,1008,504,24,48,24,24,4,16,4,8,4,504,24,24,16,8,8,8,8,4,48,24,12,4032
,504,24,4,8,4,24,8,4,4,4,4,144,24,8,4,4,8,4,4,4,4,8,4,12,4,504,4,4,4,24,4,4],[
864864,8064,480,33264,504,6048,80,160,168,72,784,4,672,48,336,48,24,80,24,24,
504,784,24,4,24,6048,72,72,16,8,16,24,24,8,48,34,4,4,24,12,12,24,12,12,8,8,24,
8,8,80,8,8,8,8,8,4,34,4,6,4,2,2,6,72,4,12,8,8,4,4,8,4,24,8,4,4,672,2,6,4,8,2,2
,6,2,4,6,2,4,8,4,4,4,4,2,2,4,2,2,16,8,2,2,2,2,2,4,8,4,4,12,2,4,2,2,2,8,2,4,2,4
,2,2,4,2,2,2,2,4,2,2,2,2,2],[864864,20160,1440,33264,504,6048,1512,80,480,216,
504,72,784,4,3360,504,240,24,480,144,24,80,72,504,72,24,24,24,504,784,40,4,40,
6048,72,72,48,8,216,80,72,24,24,72,8,34,4,4,24,504,24,24,24,24,72,24,8,12,8,40
,12,4,4,504,72,72,8,72,8,8,8,80,8,8,24,8,4,34,4,10,4,10,4,10,4,10,72,24,24,8,
24,8,8,12,8,4,4,4,4,4,4,24,8,8,4,4,672,12,4,8,2,2,10,6,4,2,6,6,10,2,2,72,8,8,8
,4,4,4,4,4,4,4,4,2,2,72,24,16,8,2,2,4,2,4,2,2,6,2,4,2,2,2,8,4,4,12,2,4,4,4,4,4
,2,8,4,2,2,2,4,2,2,12,4,4,2,2,2,4,2,2,2,2,4,2,2,2,2,2,2,2],[864864,8064,480,
33264,504,6048,80,160,560,160,784,4,672,48,336,48,24,80,160,80,504,784,24,4,24
,6048,72,72,16,8,16,240,32,16,8,34,4,4,80,12,12,24,40,24,4,8,8,24,80,8,8,16,16
,8,4,34,4,6,4,2,2,6,72,4,12,8,8,24,8,4,80,8,4,4,672,20,8,2,2,4,4,6,4,2,6,2,8,4
,4,8,4,2,2,4,4,4,16,8,2,2,2,6,2,8,4,4,12,2,4,2,2,4,16,8,2,2,4,4,4,4,2,2,2,4,4,
2,2,2,2,2],[810810,23058,1170,858,28350,5670,3906,42,102,786,90,162,150,30,126
,210,18,66,630,54,6,30,630,3150,390,90,450,102,42,90,786,78,6,6,18,6,6,18,18,
54,18,90,90,90,210,42,42,30,6,18,18,42,630,90,18,18,30,6,42,6,6,6,6,6,6,6,6,6,
6,30,6,18,18,6,6,6,6,6,90,6,30,6,6,6,6,18,6,18,18,18,6,6,6,630,78,18,78,18,
5670,90,42,30,30,12,450,102,30,30,90,36,12,30,30,42,12,6,36,6,210,42,18,42,18,
12,6,90,90,6,6,6,12,6,42,6,6,12,12,6,12,6,12,12,18,6,6,90,6,6,30,6,6,6,6,6,6,6
,18,18,18,6,18,6,6,6,6,6,6,6,6,18,18,18,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6
,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,18,6,6,6,6,6,6,6,6,6,6,90,6,12,42,6,6,12
,78,6,6,18,12,12,42,6,6,6,630,18,12,12,6,6,6,6,6,90,78,42,30,30,6,12,90,30,30,
30,30,30,42,42,6,6,6,30,30,12,6,6,6,12,6,6,6,6,36,6,6,6,6,6,6,6,6,6,6,6,90,42,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,18,18,12,6,6,6,6,6,6,6,6,6,6,6,
6,18,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,42,
6,6,42,6,6,6,42,12,6,6,6,6,6,18,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,
42,6,12,30,90,6,6,18,12,42,30,30,30,30,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,630,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6
,6,6,6,6,6,6,6,6,6,42,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6
,6,6,6,42,6,6,12,6,30,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6
,90,6,78,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,42,6,6,12,12,18,6,6,6,6,6,6,6,6,6,6,6,6,42,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6],[810810,24570,810,1674,28350,7938,3906,198,378,1082,186,
330,162,82,54,354,90,54,882,90,62,14,630,3150,270,198,630,126,378,786,162,42,
82,82,42,198,54,54,54,54,162,114,186,258,54,54,54,54,90,882,162,90,58,58,42,42
,26,62,30,14,14,14,14,14,6,14,14,62,162,14,14,14,14,30,58,42,26,14,14,630,54,
30,54,30,5670,270,90,18,66,62,18,30,450,126,102,62,126,54,54,30,66,42,18,18,90
,10,2,18,18,2,198,210,90,54,54,54,54,54,90,114,82,42,42,54,54,54,62,62,14,14,
14,14,14,14,14,6,14,6,6,14,14,6,6,62,162,14,30,30,30,14,14,14,6,14,14,14,14,14
,14,14,14,6,6,14,14,42,58,42,42,26,26,26,26,18,18,26,14,14,14,14,14,14,14,14,
14,30,42,14,14,14,14,14,14,18,26,14,14,6,6,6,6,90,6,18,6,18,18,22,6,18,54,22,
22,18,30,18,18,18,6,2,2,2,2,630,54,90,18,10,10,6,18,10,10,10,6,2,6,2,2,6,150,
54,30,30,42,18,18,54,54,18,30,30,30,18,18,90,66,42,62,30,42,18,18,18,18,30,42,
18,18,18,18,10,10,6,2,6,2,18,10,10,18,2,2,6,6,18,18,10,10,6,2,6,2,2,10,6,6,2,6
,6,10,90,54,42,54,54,62,14,14,14,14,14,6,6,6,14,14,6,6,6,6,6,14,14,14,14,14,18
,14,14,6,6,6,6,30,42,14,14,14,14,14,6,14,14,14,14,14,14,14,18,18,18,18,26,14,6
,6,6,6,6,6,6,6,14,6,6,6,14,14,6,14,14,14,14,6,14,14,6,6,6,6,6,6,6,6,14,6,6,6,6
,18,18,18,18,18,18,18,18,18,18,18,22,6,6,6,6,18,18,10,6,6,6,6,6,6,6,10,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,90,18,18,22,18,30,18,18,90,18,10,30,18,6,30,6
,30,42,30,30,18,18,18,18,30,18,18,18,6,6,6,2,18,10,10,10,10,10,10,6,6,6,6,18,6
,6,6,6,2,6,6,6,6,6,2,6,2,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,6,6,2,6,10,6,6,6,6,6,6,
6,10,6,6,2,2,6,6,6,6,10,6,6,2,2,2,2,2,2,2,2,6,6,6,10,6,6,6,2,2,6,6,6,6,6,10,6,
2,2,2,2,2,2,2,2,630,54,6,6,18,14,14,14,14,6,14,14,14,14,14,6,14,6,6,14,6,6,6,6
,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,18,18,18,18,6,6,6,6,2,2,6,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,10,6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,
18,18,30,6,6,6,6,2,6,30,18,18,18,18,6,10,6,6,2,2,6,2,6,6,2,2,2,2,2,2,6,6,6,6,6
,2,2,6,6,6,6,6,2,2,2,2,2,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6
,6,6,6,6,10,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,90,18,54,30,14,6,6,6,6,6,6,6,6,18,6,6,6,2,2,2,6,6,6,2,6,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,18,6,6,6,2,2,2,2,2,2,2,2,2,6,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2
,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,18,18,22,6,18,6,6,18,18,10,6,10,6,2,2,6,6,2,2,2
,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,6,18,18,6,6,6,6,2,6,2,2,2,6,6,10,6,6,6,2,2,2,6,
6,2,2,2,2,2,2,2,18,6,6,6,2,2,2,2,2,2,2,2,2,2,6,6,6,2,6,2,2,2,2,2,2,6,2,2,2,2,2
,2,2,2,2],[810810,9450,810,954,28350,7938,126,198,258,322,66,186,162,58,54,54,
18,54,42,42,2,18,630,630,270,90,450,54,258,6,162,6,58,58,6,198,54,54,54,54,18,
6,66,18,54,54,54,54,18,42,2,18,6,6,6,6,2,2,6,2,2,2,2,2,2,2,2,18,2,2,6,10,6,6,
10,10,10,2,2,630,54,30,54,30,5670,270,36,18,22,18,54,66,22,30,18,54,18,12,18,
12,2,24,12,2,198,18,54,54,54,54,54,6,58,6,6,54,54,54,2,2,4,2,2,2,2,4,10,2,6,4,
4,2,2,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,10,2
,2,6,2,2,2,2,2,2,2,2,8,18,18,22,6,18,54,22,22,18,30,18,18,18,6,2,2,2,2,4,2,4,2
,2,2,150,54,6,18,18,18,54,18,18,18,12,22,6,18,18,18,18,6,12,2,2,4,8,2,2,4,2,4,
2,2,2,2,4,2,2,4,2,2,54,6,54,54,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,2,2,2,6,4,2,2,2,2,6,18,18,18,18,18,18
,18,18,18,18,18,22,6,6,6,8,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,90,18
,18,22,18,18,8,6,18,18,18,18,6,2,4,2,2,2,2,2,4,2,2,2,2,2,2,2,2,4,2,2,2,4,2,2,2
,2,2,2,4,2,2,2,2,630,54,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,6,18,
18,18,18,18,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,6,18,18,18
,2,2,2,2,6,2,2,2,4,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,54,30,2,2,2,2,2,2,2,18,2,2,
4,2,2,2,2,2,2,2,2,2,2,2,2,2,18,2,2,2,2,4,2,2,2,2,2,2,2,2,18,18,22,6,18,8,2,2,2
,2,2,2,2,2,2,2,2,2,6,18,18,2,2,2,2,2,4,2,2,2,18,4,2,2,2,2,2,2,2,2,2],[810810,
23058,450,810,28350,5670,3906,6,94,786,90,114,54,14,18,210,18,14,630,30,10,18,
630,3150,150,90,450,54,90,786,30,6,6,10,6,2,6,6,10,6,90,90,90,210,6,10,2,6,18,
630,90,18,18,22,18,6,6,2,2,2,2,10,2,6,6,2,90,4,10,2,10,2,2,18,6,10,14,6,4,4,4,
2,2,630,30,18,30,18,5670,90,6,30,30,4,450,54,30,30,90,12,4,30,30,6,4,10,12,10,
210,18,6,6,4,2,90,90,6,6,6,4,2,2,2,2,4,4,2,4,2,4,4,6,2,2,2,2,2,90,2,10,2,2,2,2
,2,2,2,18,18,18,6,10,6,6,6,6,6,6,2,2,6,6,6,2,6,2,2,18,10,6,2,2,2,6,6,4,4,4,2,2
,2,2,2,2,90,6,4,6,6,6,4,30,6,6,18,4,4,6,6,10,10,630,18,4,4,2,2,2,2,90,30,30,30
,2,4,90,30,30,30,30,30,6,2,2,2,30,30,4,2,2,4,10,2,2,4,12,2,2,2,4,2,2,2,4,2,2,
90,6,2,2,2,2,2,4,6,6,4,2,2,2,2,2,2,2,6,2,4,18,2,6,2,2,2,2,2,6,6,6,6,6,2,2,2,2,
2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,6,2,6,2,2,2,4,6,6,6,6,18,6,6,4,2,2,6,2,4,2
,4,2,10,2,4,2,2,2,2,18,6,6,4,30,90,6,6,18,4,30,30,30,30,2,10,4,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,630,6,2,2,6,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,6,2,4,2,2,2,2,2,4,2,2,2,2,6,6,6,2,2,2,2,2,2,2,6,2,4,2,30,18,6
,6,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,90,6,30,18,2,2,2,2,2,2,2,6,2,
2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,4,4,18,6,6,6,10,2,2,2,2,
2,2,2,2,6,2,4,2,2,4,6,6,6,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2],[810810,7938,450,
1050,28350,5670,126,6,134,186,66,66,54,22,18,102,42,14,210,66,70,30,630,630,
150,126,270,78,90,6,30,18,14,10,10,2,6,6,10,6,18,14,18,18,6,10,2,6,26,20,36,16
,4,12,8,2,8,14,2,10,2,4,6,6,6,62,30,4,22,6,14,6,10,2,6,14,18,10,4,4,4,630,30,
18,30,18,5670,36,6,12,6,6,8,30,18,22,18,12,12,8,12,16,6,6,90,10,10,30,6,10,18,
6,6,4,2,6,6,10,6,4,2,30,2,4,6,6,6,2,4,4,10,2,2,4,6,4,6,2,2,2,2,14,2,6,2,2,10,6
,2,2,4,2,2,2,2,6,6,2,2,6,4,4,2,2,4,6,6,2,2,6,2,2,6,2,10,10,2,6,6,2,4,4,4,2,6,2
,2,6,12,10,6,6,6,4,30,6,6,18,4,4,6,6,10,10,36,12,2,12,8,2,2,2,2,2,2,90,30,6,2,
2,6,4,4,2,2,12,6,6,4,6,2,2,2,6,2,2,4,4,2,2,2,2,6,2,10,6,10,2,4,4,4,4,2,2,2,2,2
,2,4,4,2,4,2,4,6,2,6,4,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,6,2,2,6,2,2,2,2,6
,2,2,2,2,2,6,6,2,2,2,2,4,2,2,2,4,2,2,4,6,2,2,2,2,2,6,2,6,2,2,2,4,6,6,6,6,6,4,
10,2,2,2,2,4,4,2,4,2,4,2,10,2,4,2,2,2,18,6,6,4,4,6,2,30,10,6,2,2,10,4,4,2,2,2,
2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,4,2,4,2,2,2,2,4,2,630,6,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,6,2,4,2,2,2,4,2,2,2,4,2,2,2,2,4,2,2,
2,2,2,2,2,6,2,6,4,2,2,2,2,4,2,2,2,2,4,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,
30,18,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,6,6,6,
4,6,10,4,2,2,10,2,2,2,2,2,2,2,2,6,2,4,2,2,2,2,4,2,2,2,4,2,2,2,2,4,2,2,2,2,2,2,
2,2,2],[810810,9450,1530,1002,28350,7938,126,234,266,322,66,234,258,74,162,54,
18,106,42,18,14,14,630,630,510,90,450,102,42,258,6,210,6,58,66,6,202,66,66,98,
66,18,6,66,18,42,90,74,58,66,18,42,42,2,18,6,6,14,6,6,2,10,14,14,14,14,6,10,10
,10,2,10,10,6,6,6,6,6,2,10,6,6,14,2,6,6,6,2,14,6,10,10,10,630,102,30,102,30,
5670,270,36,54,22,26,102,66,22,30,18,78,26,12,54,4,14,12,14,198,42,18,90,66,54
,62,58,6,58,6,6,62,58,54,42,2,2,6,2,2,2,2,2,2,2,6,6,6,6,2,10,6,6,6,6,6,6,2,2,2
,2,2,6,10,2,2,2,6,6,2,2,2,2,2,6,6,6,6,6,10,10,10,6,10,14,10,10,10,10,14,10,10,
10,10,14,10,10,10,10,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,14,6,6,6,2,2,2,10,10,10,6
,6,18,54,22,6,26,102,22,22,18,30,26,26,54,6,14,2,14,2,4,2,4,2,10,10,14,150,102
,42,6,18,22,18,54,18,18,26,12,22,6,42,54,22,22,22,6,12,14,2,10,4,14,6,2,10,4,
14,10,2,6,6,10,2,6,2,10,6,42,54,6,58,54,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,2,6,
6,6,2,2,2,2,2,2,2,2,2,2,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,6,6,10,2,6,14,10,10,10,
10,10,6,6,6,10,6,6,2,2,2,2,2,2,2,10,2,2,2,2,2,2,2,6,6,6,6,6,6,6,6,6,42,6,18,22
,18,54,22,22,22,42,18,26,18,18,22,6,6,6,6,6,2,10,6,2,10,14,2,2,10,14,6,2,2,10,
6,14,2,2,10,2,2,2,2,10,10,14,90,18,54,22,26,18,42,6,18,18,22,18,6,6,14,4,2,2,
14,10,10,2,6,10,2,2,6,6,6,10,10,2,2,6,2,10,2,2,6,6,2,10,6,2,10,2,2,2,6,6,6,6,6
,6,6,630,54,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,10,2,2,2,6,2,2,2,2,2,6,6,6
,6,2,6,2,2,2,2,2,2,2,42,6,18,22,18,18,18,6,6,2,10,6,2,10,6,10,2,6,6,2,2,10,10,
2,2,6,2,2,6,6,2,2,2,6,6,6,6,6,6,14,10,10,2,2,2,2,6,10,42,6,18,22,18,6,6,6,10,2
,6,2,6,2,6,14,2,10,2,2,2,2,6,6,6,2,2,6,2,2,6,2,2,6,2,10,6,2,2,2,6,102,30,6,6,2
,2,2,2,2,2,2,2,2,18,6,6,2,6,2,2,2,6,2,10,2,2,6,2,2,6,2,2,2,2,6,6,6,2,2,2,6,6,
18,2,6,2,6,10,2,2,2,6,6,2,2,2,2,2,2,2,6,18,54,22,6,26,14,2,2,6,6,2,2,2,2,2,2,2
,2,2,6,6,2,2,2,2,42,6,18,22,6,6,2,10,14,2,2,10,2,2,18,6,2,10,2,2,6,6,6,6,2,2,2
,2],[810810,7938,1170,1098,28350,5670,126,42,142,186,66,114,150,38,126,102,42,
66,210,42,66,10,630,630,390,126,270,126,42,90,6,78,18,14,18,10,6,18,18,54,18,
18,14,18,18,42,42,30,6,18,26,42,20,36,16,4,6,12,8,6,6,6,6,6,8,14,6,14,6,4,6,10
,10,6,6,6,6,66,30,6,10,10,10,2,6,2,6,6,6,6,6,6,6,2,2,630,78,18,78,18,5670,36,
42,12,6,6,16,78,18,22,18,12,36,16,12,16,42,6,90,2,6,6,6,6,42,18,42,18,12,6,6,6
,10,6,12,6,42,30,6,6,6,2,4,2,2,2,4,2,2,6,6,14,2,6,6,6,14,6,2,2,4,2,6,6,2,6,6,2
,2,6,4,4,2,2,4,10,10,6,6,10,6,6,10,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6
,6,6,6,6,6,6,6,6,6,6,6,6,6,10,2,2,6,6,6,6,6,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,6,12,2,42,6,6,12,78,6,6,18,12,12,42,6,6,6,36,12,2,12,8,2,6,2,6,2,2,6,90,78,
42,6,6,2,6,4,12,2,2,12,6,6,4,42,42,6,6,6,6,2,2,4,4,6,2,6,2,2,6,2,2,6,6,6,6,4,4
,6,2,6,2,2,6,6,2,6,6,2,6,6,2,2,42,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,4,2,2,
2,4,2,2,6,6,6,6,2,2,6,6,6,6,6,6,10,6,6,6,6,6,6,2,2,2,6,2,6,6,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6,2,2,2,2,2,2,2,2
,2,2,2,2,42,6,6,42,6,6,6,42,12,6,6,6,6,6,6,4,2,2,2,2,2,6,6,6,6,6,6,6,6,6,6,6,6
,6,6,6,2,18,42,6,12,4,6,2,30,2,42,6,6,2,6,6,4,4,2,2,6,6,6,2,2,2,2,2,2,6,6,2,2,
6,6,2,2,2,6,6,2,2,6,2,2,2,6,2,6,2,6,2,6,2,2,6,6,6,6,2,6,2,6,6,2,2,2,2,2,2,2,2,
2,2,630,6,6,6,6,6,2,6,6,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,42,6,6,4,2,2,2,6,6,6,6,6,6,6,6,6,6,6,2,2,6,6,6,6,6,6,6,6,6,6,6
,2,2,2,2,2,42,6,6,6,4,2,2,2,6,6,6,6,2,6,6,6,6,2,2,2,2,6,2,2,2,6,2,2,2,2,2,2,2,
2,2,6,2,2,2,2,2,6,2,2,2,2,2,2,2,12,78,18,6,2,2,2,2,2,2,2,2,2,2,6,2,2,6,6,2,2,6
,6,6,6,2,2,2,2,2,2,2,6,2,6,6,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,42,6,6,12,6,2,4
,2,2,6,2,6,2,2,2,2,6,2,2,2,2,2,42,6,6,4,2,2,2,6,6,6,2,6,6,2,2,2,2,2,2,2,6,6,6,
2,2,2,2,2,6,2,2,2,2,2],[810810,13230,486,1170,945,11340,630,390,360,450,54,134
,84,36,90,36,26,420,48,150,10,15,315,135,27,15,45,45,9,210,360,90,84,12,36,36,
12,270,30,14,54,42,14,26,18,18,18,36,420,60,48,24,24,150,16,16,8,90,10,10,18,6
,6,6,6,6,2,30,2,30,60,90,2,2,10,6,18,24,16,8,6,6,6,5,3,1,315,30,27,9,9,5,3,45,
27,9,9,3,15,9,5,5,9,15,3,9,1,3,3,270,18,14,36,6,14,36,12,12,18,18,18,30,30,90,
6,6,6,2,2,2,2,2,2,2,2,6,6,30,60,90,6,18,18,18,2,2,2,2,6,6,6,6,6,2,6,6,2,2,6,6,
12,24,12,16,8,8,8,8,4,4,8,6,10,6,6,6,6,30,2,2,2,2,2,18,12,2,6,6,4,8,6,2,6,6,2,
2,6,2,2,6,2,6,2,3,1,1,315,45,30,30,15,9,2,2,9,3,3,1,1,1,1,1,45,30,9,15,2,2,3,3
,9,3,5,3,9,9,3,3,3,3,9,30,3,3,1,1,3,1,3,1,3,1,3,1,1,1,6,18,12,30,2,2,2,90,30,6
,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,30,30,6,2,2,2,2,2,2,4,6,2,2,18,12,2,2,6,6,6,6,6
,6,4,4,4,4,8,6,6,2,2,2,6,2,2,2,2,2,2,6,6,6,2,2,2,2,2,2,6,2,2,2,6,2,2,2,6,2,2,2
,2,2,1,9,3,5,9,3,2,45,9,5,5,5,3,9,15,9,9,30,3,3,2,2,2,2,2,3,1,3,3,3,1,3,3,1,1,
1,1,1,1,1,1,1,1,1,6,2,3,30,6,2,2,2,2,2,2,2,2,4,6,6,2,2,2,6,2,2,6,6,2,2,6,2,2,2
,2,2,6,2,2,2,2,2,2,2,2,2,2,3,30,3,3,3,3,1,1,1,1,1,1,9,3,3,3,3,9,3,3,3,3,5,2,1,
3,1,1,1,3,1,1,1,3,1,1,1,1,1,2,3,1,1,2,2,6,2,2,2,2,2,2,2,2,3,1,1,30,2,3,3,6,6,1
,2,1,3,1,1,1,1,1,1,1,1,1,1,1,2,3,1,1,6,2,2,2,2,1,1,2,3,3,1,1,1],[810810,5670,
846,450,81,630,90,60,90,22,30,72,16,96,18,38,36,150,18,15,27,3,9,90,8,4,30,12,
12,16,8,6,6,6,18,12,6,10,10,6,18,12,12,30,14,14,20,4,6,2,10,10,2,8,8,6,6,4,30,
60,10,2,10,2,6,4,4,4,8,8,6,6,5,3,1,9,6,7,3,9,3,18,4,6,2,4,6,6,2,4,6,30,6,6,4,4
,2,2,2,2,4,2,6,4,30,6,10,2,2,2,2,2,2,2,4,4,4,4,4,4,4,8,4,10,6,6,2,6,2,2,2,6,6,
6,6,2,2,2,2,2,2,2,4,4,4,2,2,2,2,4,2,2,2,6,2,2,3,1,1,3,1,5,5,5,1,3,3,3,3,2,3,6,
2,6,2,2,2,2,2,4,6,4,4,2,2,2,4,4,2,2,2,2,2,4,30,2,4,2,2,2,2,2,2,2,2,2,4,2,2,4,2
,2,2,6,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,1,1,6,3,1,1,3,3,3,1,1,2,1,1,1,4,2,2,2,2,2
,2,2,4,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,3,3,3,4,1,1,1,1,1,3,2,2,2,2,2,1,1,1,1,1,1
,1,2,2,2,2,2,2,2,3,1,1,1,1,1,1,3,2,1,1,2,1,1,2,3,1,1,2,1,1,2,1,1],[810810,8694
,750,690,378,6804,126,78,144,234,54,158,108,36,18,26,336,60,90,22,105,126,18,
18,6,6,18,6,42,144,6,108,36,36,54,6,2,54,6,14,26,18,18,18,126,6,18,6,6,30,6,6,
2,18,10,10,6,6,6,6,2,66,36,18,14,14,22,6,18,24,20,8,12,12,6,6,2,105,25,9,25,9,
126,6,2,6,6,6,2,2,6,18,2,6,6,3,54,14,2,36,18,18,18,6,36,18,6,2,8,8,2,8,2,6,2,6
,6,6,6,18,2,2,2,2,6,6,6,2,2,2,2,2,6,10,6,6,6,6,6,2,2,2,2,2,18,6,12,12,12,14,6,
6,2,8,6,2,12,6,6,2,4,2,2,2,2,15,3,7,3,9,13,9,1,9,25,9,9,9,9,9,9,13,1,5,1,5,1,
126,6,6,6,6,6,2,2,6,6,6,6,2,2,2,6,6,2,6,2,2,2,3,1,3,1,3,1,1,18,6,2,2,2,18,6,6,
6,6,2,2,2,2,2,6,6,2,2,2,2,2,2,2,2,12,6,6,2,4,2,2,2,6,2,4,2,2,2,2,8,2,6,6,6,6,6
,2,2,2,2,2,2,2,2,2,7,1,9,9,9,13,9,9,9,7,9,9,9,9,9,1,1,1,1,3,3,7,3,3,3,3,3,3,3,
3,3,1,1,3,1,1,3,5,1,1,3,5,1,1,1,3,1,5,1,1,3,1,1,1,1,3,3,5,1,2,2,6,6,2,2,2,6,6,
2,2,2,2,2,6,2,6,2,2,2,3,1,1,1,3,1,3,1,1,1,1,1,1,6,2,2,2,2,2,2,6,6,2,2,2,2,2,4,
2,2,2,2,2,2,2,2,2,2,7,1,9,9,9,9,9,3,3,3,3,1,1,3,1,1,1,1,3,1,1,3,1,3,1,1,1,1,1,
3,3,1,1,3,1,1,3,3,1,1,3,3,3,3,3,3,3,1,1,1,1,3,1,1,1,1,1,5,3,3,1,1,1,1,1,3,1,1,
1,1,1,1,1,1,1,6,2,2,2,6,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,
2,2,2,2,2,2,2,9,1,1,3,3,3,1,3,1,1,1,1,3,3,3,1,3,1,1,3,1,1,3,1,1,3,1,1,1,1,3,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,6,2,2,2,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,2,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,
2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1],[800800,11200,480,
19600,700,160,88,1120,840,80,160,72,24,1120,140,48,4,640,48,40,52,80,24,24,700
,16,52,52,16,16,16,52,16,16,4,4,1120,40,40,12,4,24,12,40,40,96,4,16,8,120,16,
16,24,8,4,4,8,24,140,4,100,12,20,16,4,8,52,16,4,4,4,80,12,8,8,16,4,8,8,8,52,16
,16,16,16,4,4,4,4,4,4,4,4,4,40,4,4,40,4,4,4,4,4,4,4,12,16,20,12,4,4,4,16,4,4,4
,4,24,4,4,4,4,4,4,24,12,12,8,4,20,4,8,4,16,8,4,4,16,4,4,4,4,4,4,8,4,4,16,4,4,4
,4,4,4,4,4,4,4,16,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,12,4,8,8,4,4,4,4,4,4,4,4
,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4],[800800,20160,1120,11200,280,40,
52,3360,160,480,48,72,280,72,2240,280,40,128,20,24,10,8,480,64,40,24,10,480,24
,80,48,24,280,16,16,16,4,4,4,13,4,4,4,1,12,6,96,16,12,480,40,96,16,12,12,16,24
,16,6,16,4,16,4,24,280,8,24,16,4,4,4,5,4,8,8,40,80,8,8,8,16,8,4,4,4,2,2,5,5,4,
2,24,4,4,4,2,2,16,8,6,96,8,12,8,8,4,16,16,4,4,4,4,4,1,1,1,4,1,1,1,1,140,12,3,
80,40,8,12,8,24,4,4,4,4,4,4,8,2,2,3,24,4,12,24,4,4,4,4,4,2,8,16,8,4,4,2,2,2,8,
4,4,4,4,1,1,1,1,2,8,4,4,2,2,4,1,1,1,2,1,1,1,1,40,12,1,3,12,24,12,4,4,4,4,4,4,4
,1,1,1,1,1,16,8,2,2,8,2,8,4,4,2,2,8,4,4,2,2,4,2,2,1,1,1,12,4,4,4,4,2,1,2,1,2,1
,1,1,1,8,8,4,2,4,4,4,4,2,1,4,1,4,2,4,2,2,2,2,2,1,4,1,1,1,4,4,2,2,2,1,2,2,2,1,1
,2,2,1,1,1,1],[800800,1120,11200,280,40,52,72,16,40,128,20,24,10,8,64,40,10,4,
16,4,280,16,16,16,4,4,4,13,4,4,4,1,12,16,6,4,8,24,16,4,4,4,5,4,8,8,40,8,8,8,4,
4,2,2,5,5,4,2,4,4,1,16,4,4,4,4,4,1,1,1,4,1,1,1,1,4,4,4,12,4,4,4,4,2,2,3,4,1,8,
4,2,2,2,8,4,4,4,4,1,1,1,1,2,4,2,2,4,1,1,1,2,1,1,1,2,2,4,2,4,4,1,1,1,1,1,2,4,2,
2,2,1,1,2,4,4,2,1,2,1,2,1,1,1,1,1,1,2,4,2,1,1,1,1,1,4,2,2,1,2,1,1],[800800,
1120,11200,280,40,52,72,16,40,128,20,24,10,8,64,40,10,4,16,4,280,16,16,16,4,4,
4,13,4,4,4,1,12,16,6,4,8,24,16,4,4,4,5,4,8,8,40,8,8,8,4,4,2,2,5,5,4,2,4,4,1,16
,4,4,4,4,4,1,1,1,4,1,1,1,1,4,4,4,12,4,4,4,4,2,2,3,4,1,8,4,2,2,2,8,4,4,4,4,1,1,
1,1,2,4,2,2,4,1,1,1,2,1,1,1,2,2,4,2,4,4,1,1,1,1,1,2,4,2,2,2,1,1,2,4,4,2,1,2,1,
2,1,1,1,1,1,1,2,4,2,1,1,1,1,1,4,2,2,1,2,1,1],[800800,1120,480,1440,19600,700,
52,61,1120,32,32,32,32,72,32,80,30,280,6,13,72,5,29,20,40,96,30,13,4,6,9,32,8,
32,8,8,700,4,52,52,16,16,16,25,16,4,1,1,1120,40,13,4,40,13,4,8,2,5,2,2,8,8,8,2
,12,8,2,2,4,4,24,5,3,5,5,4,7,2,8,5,4,8,2,5,8,10,4,72,4,2,16,16,16,17,16,28,28,
30,6,16,10,10,6,6,2,2,4,4,7,7,2,2,4,4,4,4,6,1,1,1,32,2,8,5,4,2,8,2,2,2,4,5,4,3
,32,2,2,8,4,2,2,2,5,3,8,2,5,4,2,3,2,4,3,2,52,16,16,16,4,1,1,1,1,1,1,1,1,1,40,4
,4,13,4,4,4,4,4,4,4,4,4,12,2,2,6,6,8,2,2,4,4,5,4,4,4,4,2,4,4,2,2,2,4,4,4,6,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,1,4,4,4,2,1,1,1,2,8,2,4,3,2,4,10,4,2,2,4,4,28,16,16,
16,1,1,1,1,1,1,1,1,6,4,4,1,1,1,1,1,1,1,1,1,1,2,8,5,4,4,4,4,4,4,4,4,4,4,2,2,8,2
,2,5,2,2,2,2,8,2,2,2,2,2,5,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,2,2,2,4,4,4,2,2
,2,2,2,2,2,16,1,1,1,1,1,1,4,2,4,4,4,4,4,4,4,4,4,1,1,1,1,1,2,2,2,2,1,1,1,6,2,4,
4,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,4,3,2,2,2,2,2,2,2,2,2,16,1,1,4,1,1,1,1,1,1,1,1
,1,4,2,2,4,2,2,2,2,2,2,2,4,4,4,4,4,4,2,2,2,2,2,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,1,1,1,1,1,1,4,2,2
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1],[772200,15120,280,2700,2520,216,
15120,840,200,120,120,840,120,840,120,180,28,40,4,240,160,120,40,120,840,40,
120,80,40,40,40,80,72,840,360,24,80,36,8,180,24,20,12,12,40,24,12,120,40,40,80
,40,40,80,40,24,12,4,240,12,12,840,120,40,40,80,40,40,4,4,16,4,12,12,40,4,24,
12,4,8,4,4,4,8,40,80,40,40,40,24,18,8,4,60,6,12,40,40,4,4,8,4,4,8,4,20,12,40,
24,4,6,4,8,4,4,4,60,20,40,4,20,2,4,8,4,4,4,6,4,4,120,40,20,2,2,40,20,4,6,2,4,2
,6,4,2,4,2,20,2],[772200,1080,360,1080,10800,630,216,1080,40,24,24,16,24,24,36
,8,24,20,4,30,96,18,12,12,48,60,18,30,24,4,8,8,24,20,4,4,4,4,6,4,2,4,4,4,6,2,
72,1080,10,18,4,6,18,16,6,6,6,6,4,8,2,2,8,6,12,2,8,2,4,2,4,4,4,4,2,2,2,6,2,2,2
,4,24,12,30,6,6,24,10,2,2,2,2,24,2,2,6,8,6,2,2,4,4,2,2,2,4,2,2,2,2,2,2,18,4,4,
12,6,2,8,2,2,4,2,2,4,2,4,2,6,2,2,6,4,6,2,2,2,2,2,2,2,4,2,6,2,2,5,2,2,2,2,2,3,1
,2,2,1,1,1,2,1,1,1],[772200,10800,1080,10800,630,216,8640,300,120,240,360,48,
108,24,240,72,8,240,210,72,18,12,360,54,30,240,120,24,36,24,240,72,24,24,16,12
,8,4,8,12,24,16,72,1080,210,45,24,36,6,6,360,24,18,18,24,24,8,6,18,6,8,2,24,6,
6,120,24,12,8,4,8,4,4,12,12,12,8,4,24,16,8,8,12,8,4,4,4,24,12,30,6,6,30,210,15
,18,18,3,4,2,4,2,8,4,2,2,60,18,9,24,6,4,6,24,6,4,2,4,2,2,6,2,8,4,4,12,8,4,4,4,
4,24,18,9,4,6,2,60,6,6,3,9,6,6,6,4,6,6,6,18,6,3,3,1,4,2,1,6,3,2,4,2,2,6,4,4,2,
1,24,6,3,6,4,3,2,6,2,2,2,2,2,4,2,2,2,1,1,6,6,2,6,3,1,2,2,1,2,2,1,6,3,2,2,6,3,4
,2,1,15,2,2,2,2,1,2,2,1,6,3,2,1,3,3,2,2,1,1,3,1,1,1,1,1],[772200,10800,1080,
720,108,10800,240,360,360,360,16,72,24,240,72,8,240,24,12,72,30,360,360,8,24,
24,240,72,24,24,8,24,8,4,8,24,24,8,36,240,45,27,12,4,3,72,12,24,24,4,4,12,6,
360,24,4,8,4,8,4,4,24,24,24,8,4,24,8,4,4,24,4,4,4,4,12,30,6,6,240,15,24,3,4,3,
4,1,4,4,24,9,24,4,12,4,4,6,2,2,8,4,4,24,4,4,4,4,4,9,12,4,6,2,24,9,3,4,4,3,4,24
,24,3,1,3,4,1,3,4,4,2,6,4,1,4,12,3,4,3,6,2,2,2,2,4,1,4,4,1,1,24,4,1,3,4,1,4,1,
3,4,2,4,3,4,1,15,2,2,4,1,2,4,1,3,1,4,3,3,2,4,1,3,1,1,1,1,1,1],[720720,16128,
720,60480,3780,144,16128,420,240,240,240,36,12,420,36,3360,3360,420,144,12,960
,12,240,240,12,12,420,36,12,12,12,12,12,3780,144,144,3360,48,48,16128,420,960,
48,240,12,12,960,48,12,48,48,12,12,48,240,240,12,12,12,12,12,12,420,12,240,48,
12,48,48,48,420,420,36,12,240,12,48,12,48,144,240,12,420,12,960,48,12,12,12,12
,12,12,48,240,12,12,240,12,12,12,12,12,12,48,3360,420,48,12,48,48,48,12,12,12,
12,12,12,48,12,48,12,48,240,12,12,240,48,12,48,12,12,12,420,12,48,12,12,48,12,
12],[720720,16128,720,50400,504,72,144,16128,420,240,240,240,36,12,420,36,3360
,3360,420,144,12,240,48,240,240,12,12,420,36,12,12,12,12,12,420,48,24,36,12,
3360,48,48,15120,420,6,18,48,12,12,6,240,48,12,48,48,12,12,12,24,240,12,12,12,
12,12,12,420,12,24,12,12,48,48,48,420,420,36,12,120,12,6,48,12,12,12,24,12,420
,12,6,12,6,36,6,12,12,12,12,48,120,12,6,6,12,6,12,12,12,12,6,12,3360,420,6,12,
12,12,6,6,12,12,12,12,6,12,6,48,12,6,6,6,12,24,12,6,48,12,6,6,420,6,6,6,12,12,
12,6],[720720,16128,720,50400,504,72,144,15120,448,120,240,32,72,12,420,36,
3360,3360,420,144,12,240,48,120,16,24,12,420,36,12,12,8,12,8,420,48,24,36,12,
3360,48,48,15120,448,16,36,16,12,8,16,36,16,48,16,12,4,12,24,12,8,12,8,4,4,4,
420,12,24,12,12,8,48,8,420,420,36,12,120,24,8,4,12,12,24,4,420,12,16,36,16,4,4
,4,12,4,8,12,12,8,12,8,8,4,12,12,4,12,3360,420,8,4,12,12,8,4,12,4,4,4,4,12,4,
48,12,8,12,8,4,24,12,4,8,4,4,4,420,4,8,4,12,12,4,4],[720720,16128,720,52920,
1260,36,16128,420,240,240,240,36,12,420,36,3360,3360,420,144,12,432,72,36,36,
240,240,12,12,420,36,12,12,12,12,12,1260,36,36,3360,48,48,15120,420,180,12,432
,36,12,36,24,36,24,12,24,48,48,12,12,36,12,60,240,12,12,12,12,12,12,420,12,60,
36,12,12,36,36,36,48,48,48,420,420,36,12,120,12,12,12,24,12,24,12,48,12,12,36,
12,12,12,12,12,36,60,12,12,12,420,12,180,12,36,36,36,12,12,12,12,12,12,48,120,
12,12,12,24,12,12,12,12,12,12,12,12,12,12,36,12,12,3360,420,12,12,12,12,12,36,
12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,48,12,12,12,12,12,12,12,12,12,
60,12,12,12,12,48,12,12,12,420,12,12,12,12,12,12,12,12,12,12],[720720,15456,
240,52920,1260,36,15120,420,40,80,12,560,16,80,3360,3360,420,48,4,264,24,12,12
,40,4,420,12,4,4,80,40,4,8,1260,36,36,3360,16,16,15120,420,180,12,180,12,12,8,
4,16,4,80,4,16,32,8,8,4,4,60,40,4,4,4,4,8,4,420,4,60,12,12,4,12,12,12,16,16,
420,420,12,4,40,4,4,4,4,4,12,12,4,4,16,4,8,4,4,8,36,60,4,4,4,420,4,180,12,4,4,
4,4,4,8,4,8,8,4,16,4,4,40,4,4,4,4,4,4,4,4,4,4,8,4,12,12,4,3360,420,4,4,12,12,
12,4,4,4,4,4,4,4,4,4,4,4,12,4,8,4,4,16,4,4,4,4,4,4,4,4,4,60,12,4,4,4,16,4,4,4,
420,4,4,4,4,4,4,12,4,4,4],[720720,25536,400,52920,1260,36,15120,3360,120,400,
40,12,1260,12,3360,5600,420,40,48,4,864,40,40,12,60,4,120,400,40,12,1260,120,
12,12,12,120,12,1260,36,36,3360,16,16,15120,420,180,12,180,144,40,24,40,12,12,
4,4,560,40,48,4,4,4,12,36,60,40,12,120,12,12,12,12,420,4,40,140,12,12,8,4,4,4,
60,12,12,4,240,16,1260,420,40,12,4,120,40,4,4,12,4,40,12,40,12,48,4,36,12,12,
12,12,12,12,36,60,4,4,12,420,4,180,12,40,40,4,4,24,4,4,4,32,4,4,4,8,4,12,4,16,
12,12,4,4,40,12,120,40,12,4,4,4,12,12,12,12,12,12,12,4,8,4,3360,420,12,4,40,4,
36,12,12,4,4,4,4,4,12,4,4,12,4,12,4,12,12,4,8,4,4,4,4,4,4,240,40,16,4,4,12,4,4
,12,4,4,4,12,4,60,12,4,4,4,4,4,16,4,12,4,420,12,4,4,4,4,40,4,4,4,12,4,4,4,4],[
720720,15456,480,720,52920,1260,36,15120,420,80,80,96,112,16,84,36,16,420,84,
3360,3360,420,80,168,24,20,8,264,216,12,12,24,40,96,8,8,24,4,16,8,12,420,84,4,
4,24,24,12,8,8,12,4,24,1260,36,36,3360,16,16,15120,420,180,12,180,12,12,8,20,4
,24,16,20,28,4,48,8,8,4,4,24,8,4,20,4,8,12,12,60,4,8,12,4,4,8,4,4,4,24,4,420,
20,8,60,24,60,12,20,8,8,12,12,12,48,16,420,420,84,4,24,8,8,8,8,4,4,40,96,24,4,
4,4,4,4,24,4,4,8,8,4,4,4,8,12,12,4,4,8,4,8,4,4,4,36,60,4,4,4,420,4,180,12,24,
24,8,8,4,12,4,4,8,4,4,4,4,8,4,8,4,8,8,4,24,24,4,4,12,4,4,8,4,4,4,4,8,4,4,4,4,4
,4,4,4,12,12,20,8,3360,420,8,4,8,8,24,4,12,12,12,4,24,8,4,4,4,4,4,4,4,4,4,4,12
,8,8,4,12,4,4,8,4,48,24,16,4,4,8,8,4,4,4,4,4,4,4,4,4,60,12,8,4,4,4,4,8,4,4,4,
420,8,8,4,4,4,24,4,4,4,12,4,8,4,4],[720720,30576,240,720,52920,1260,36,15120,
4200,160,400,48,112,48,16,120,1680,48,3360,7560,1260,40,60,120,12,12,12,4,984,
120,60,12,12,12,160,240,48,16,16,48,16,48,40,1680,120,48,16,16,24,24,8,120,16,
24,8,1260,36,36,3360,16,16,15120,420,180,12,180,12,12,40,4,4,900,24,16,8,60,48
,12,12,4,60,20,4,12,4,4,12,4,180,4,12,12,60,16,16,120,16,24,8,8,8,8,8,8,1260,
12,12,4,60,180,12,36,12,12,36,12,4,4,12,12,12,360,24,16,1680,420,180,60,48,4,
12,12,4,4,180,12,4,4,12,4,4,4,160,60,48,12,4,4,4,4,4,12,12,4,4,4,12,12,4,8,4,4
,20,12,12,4,4,12,4,4,12,12,12,4,4,4,4,36,60,4,4,8,420,4,180,12,180,60,12,4,36,
12,12,4,4,4,12,4,4,4,12,4,12,8,16,4,120,60,24,8,12,4,4,4,16,4,4,4,4,4,12,4,4,4
,4,4,4,12,4,4,4,4,4,12,36,12,12,4,3360,420,60,4,4,180,12,4,4,60,12,4,4,12,12,
12,4,12,12,12,4,4,4,12,4,4,4,8,4,4,36,12,4,4,12,12,4,12,4,360,60,24,12,16,4,4,
12,12,12,4,4,4,4,4,4,4,4,4,4,4,4,60,12,12,4,4,4,12,4,4,8,4,4,4,420,60,12,4,4,4
,4,4,60,12,4,4,4,12,4,12,4,4,4],[720720,15456,240,52920,1260,36,15120,420,40,
80,12,448,48,16,3360,3360,420,48,4,264,24,12,12,40,4,420,12,4,4,16,12,16,8,
1260,36,36,3360,16,16,15120,420,180,12,180,12,12,8,4,16,4,4,20,8,12,12,12,28,4
,60,8,4,4,12,4,8,4,420,4,60,12,12,4,12,12,12,16,8,8,420,420,12,4,40,4,4,4,4,4,
12,12,4,4,8,4,8,4,4,4,4,36,60,4,4,4,420,4,4,180,12,4,4,4,4,4,12,12,12,4,8,4,4,
8,4,4,4,12,4,4,4,4,4,4,4,4,12,12,4,3360,420,4,4,4,12,12,12,4,4,4,4,4,4,4,4,4,4
,4,12,4,12,4,4,4,16,4,4,4,4,4,4,4,4,4,60,12,4,4,4,8,4,4,4,420,4,4,4,4,4,4,12,4
,4,4],[720720,17472,1680,52920,1260,36,15120,504,280,560,96,192,36,420,84,3360
,3472,420,408,76,12,744,24,12,36,280,48,64,36,420,84,28,28,24,28,24,1260,36,36
,3360,112,112,15120,420,180,12,180,60,12,12,8,4,4,16,136,24,12,60,28,4,12,20,8
,12,12,60,36,24,28,24,12,12,12,420,76,12,12,100,12,12,4,4,36,12,12,24,112,24,
420,420,84,28,8,4,8,4,8,4,280,28,4,4,4,4,24,8,8,28,4,4,4,12,12,12,4,4,8,4,8,4,
4,4,36,60,4,12,12,4,12,420,28,180,12,8,24,4,4,12,28,20,12,12,4,4,4,4,24,36,12,
24,12,28,28,4,4,4,4,8,4,4,4,4,4,4,4,4,12,12,4,12,4,3360,420,12,4,4,4,4,8,4,12,
12,12,12,4,24,4,28,12,4,4,4,4,12,12,4,12,4,12,4,4,4,4,4,112,28,4,12,8,4,4,4,4,
4,4,4,4,4,60,12,4,4,4,4,4,24,12,4,4,420,12,4,4,4,4,28,4,4,12,12,4,4,4],[720720
,12096,1680,37800,2268,144,6048,252,80,320,560,108,36,84,36,560,1568,168,384,
96,24,1152,24,36,320,80,36,36,84,36,12,12,12,12,12,2268,144,144,560,56,56,6048
,432,80,36,8,432,72,36,8,8,8,12,128,80,12,28,24,24,4,4,12,12,4,24,50,8,80,36,
12,12,12,12,12,168,96,24,24,230,6,48,8,36,8,12,8,56,12,4,4,84,12,36,12,4,12,4,
4,12,4,4,4,320,8,8,8,80,24,12,4,4,4,24,4,4,4,4,144,50,8,2,18,8,18,8,2,12,432,
36,36,36,8,4,36,8,36,24,24,4,6,2,2,6,4,8,12,4,4,4,4,4,8,80,36,8,80,8,8,12,12,4
,4,4,12,4,4,4,4,4,4,48,24,8,560,8,2,2,18,2,8,2,2,2,2,2,2,12,12,4,4,4,24,24,6,
80,24,2,2,8,2,6,2,4,2,2,4,8,8,8,12,4,4,12,36,8,56,8,2,2,4,2,4,2,2,2,2,2,2,2,80
,8,8,8,4,2,8,4,4,4,4,2,50,8,2,8,24,6,4,2,8,12,4,4,2,2,4,12,4,4,18,8,2,2,2,2,8,
2,4,8,8,2,2,2,2,2,4,8,4,2,2,2,2],[720720,12096,1680,12600,378,72,90,1008,392,
40,560,96,192,4,84,36,560,1008,238,216,38,18,24,312,24,18,66,40,48,64,4,84,36,
12,12,8,12,8,168,30,24,36,12,560,56,56,1008,140,12,18,20,6,8,4,4,12,18,20,6,12
,26,8,4,4,12,16,72,12,28,2,38,6,14,12,4,6,2,6,50,8,4,24,12,8,4,4,4,168,24,8,12
,4,6,10,18,2,16,24,6,8,12,8,56,12,4,4,84,12,36,4,6,2,12,4,4,4,4,6,2,2,40,28,4,
4,4,4,4,8,8,2,12,4,14,6,2,2,4,4,12,50,8,2,18,8,18,8,2,4,12,18,6,6,6,20,6,8,8,8
,4,2,8,6,6,8,24,8,2,6,2,2,6,2,8,12,4,4,4,4,4,8,4,4,4,4,12,4,4,4,8,12,4,4,4,4,2
,4,4,4,4,4,12,4,4,70,8,2,2,18,2,8,2,2,2,2,2,2,12,4,6,2,2,2,2,8,6,6,2,12,8,2,2,
4,4,2,6,2,2,2,2,4,8,8,8,4,4,4,4,6,8,4,14,8,2,2,4,2,4,2,2,2,2,2,2,2,4,4,4,4,4,4
,2,2,4,4,4,4,4,2,10,4,2,8,8,6,2,2,2,6,2,4,2,2,4,4,4,4,6,4,2,2,2,2,4,2,2,4,2,2,
2,2,2,2,4,4,2,2,2,2,2],[720720,11424,1200,30240,882,36,5040,420,120,400,108,
224,96,16,560,1456,42,264,58,12,600,48,12,18,120,36,140,36,12,12,16,12,32,24,
882,36,36,560,24,24,5040,120,6,120,24,6,6,16,40,88,24,24,32,6,10,12,14,24,2,24
,32,2,20,2,8,4,12,12,12,8,4,42,58,12,12,100,12,12,4,4,18,12,12,20,12,8,24,4,4,
140,36,8,2,8,4,2,2,120,24,6,12,8,6,8,2,16,12,2,4,2,8,8,36,20,2,6,2,6,2,4,42,10
,2,120,6,6,6,8,24,4,4,6,6,10,6,14,12,12,4,4,4,4,2,2,8,4,4,2,12,8,12,4,2,8,12,
12,4,12,4,560,4,2,2,2,6,2,8,2,2,2,6,6,8,2,24,6,6,10,2,6,4,4,2,2,2,2,2,4,2,2,2,
4,12,4,6,12,4,4,4,4,4,20,12,24,2,2,6,6,4,2,2,2,2,2,2,20,2,2,2,2,2,2,2,6,2,4,2,
4,4,4,4,8,4,4,2,4,2,6,2,2,2,2,2,2,6,2,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2],[720720,
6048,480,400,12600,378,72,90,1008,140,80,80,32,80,16,12,4,16,420,36,560,70,80,
30,8,18,6,2,6,312,88,10,18,30,6,4,40,32,8,4,16,8,4,20,12,12,4,4,12,12,168,30,
24,36,12,560,8,8,1008,140,12,18,20,6,8,4,4,12,18,20,6,12,8,8,4,20,2,2,8,10,4,
20,4,8,6,2,6,6,2,2,2,2,6,6,60,4,48,50,8,4,8,4,4,4,4,12,6,6,8,2,10,12,2,2,4,2,6
,24,6,4,60,12,8,8,8,20,12,4,4,12,4,4,4,4,40,32,4,4,4,2,4,4,4,2,8,4,8,4,2,2,6,2
,2,2,6,8,4,4,12,50,8,2,2,4,12,18,6,6,6,20,6,8,8,8,4,2,2,2,2,2,6,8,6,6,2,2,2,4,
2,4,12,8,4,4,8,4,4,4,4,8,4,4,4,4,4,4,4,4,2,12,4,4,4,4,4,6,4,2,70,10,2,8,2,2,12
,2,2,4,4,6,4,8,8,6,2,2,6,2,2,2,2,2,4,4,2,4,2,2,4,8,4,4,4,4,6,8,2,10,6,2,8,2,2,
2,2,4,4,4,4,4,4,4,2,4,4,4,4,2,10,4,2,4,6,4,2,2,2,2,2,2,4,4,4,4,4,2,2,4,2,2,4,2
,2,4,2,2,2,2,2,2,4,2,2,2,2,2],[720720,16128,720,37800,2268,144,6048,1260,80,
160,240,108,36,420,36,560,2800,420,120,12,1032,72,84,160,80,36,36,420,36,12,12
,12,12,12,2268,144,144,560,8,8,6048,432,80,36,8,432,144,36,8,24,16,180,40,40,
36,12,12,12,12,60,4,48,50,8,80,36,12,12,12,12,12,420,12,220,12,48,16,84,60,12,
8,8,8,420,60,36,4,60,4,4,4,4,160,16,16,8,40,12,12,12,12,48,4,4,144,50,8,2,2,12
,432,36,36,36,8,20,12,4,4,36,12,12,36,4,4,12,8,4,4,8,80,36,8,80,8,8,12,12,4,4,
12,12,4,4,4,4,4,48,16,560,10,2,8,2,2,12,2,2,60,4,12,48,12,40,12,4,4,4,4,16,12,
4,4,8,12,4,4,12,36,8,60,12,8,8,2,2,2,2,80,8,8,8,8,4,4,4,4,12,50,8,2,4,12,12,4,
8,4,4,2,4,4,12,4,4,10,2,12,2,2,8,4,4,8,8,2,2,2,2,2,4,4,2,4,2,2],[720720,36288,
1040,52920,1260,36,15120,6720,280,1040,120,36,2100,36,3360,8736,1260,80,192,12
,36,6,1440,8,80,36,2,280,1040,120,36,2100,280,36,36,36,280,36,1260,36,36,3360,
48,48,15120,420,180,12,180,192,8,4,12,1440,80,192,24,12,12,8,8,36,4,2,180,4,24
,60,120,36,280,36,36,36,36,1260,12,36,6,6,80,240,12,12,36,6,2,2,36,2,480,48,
2100,420,180,80,36,12,12,4,2,180,24,4,4,4,4,280,80,12,4,2,8,4,24,192,8,8,4,4,
12,24,4,24,4,24,4,4,4,36,60,6,6,36,420,12,180,12,240,80,12,12,36,2,2,2,6,36,2,
12,36,2,2,48,36,12,280,80,36,12,12,12,4,2,8,4,24,4,4,4,4,4,4,4,4,36,12,6,6,2,
3360,420,60,6,6,180,12,4,2,80,12,24,12,2,24,12,2,12,36,12,2,4,2,36,12,4,36,12,
12,6,2,6,2,2,2,480,80,48,12,6,24,12,4,2,2,2,12,4,2,4,2,4,2,60,12,12,6,2,2,2,2,
2,48,12,4,2,420,60,12,6,2,6,2,2,80,12,6,2,12,12,12,2,2,2],[720720,21168,240,
1040,52920,1260,36,15120,1680,160,400,48,112,48,16,144,840,72,3360,4536,420,40
,20,240,12,44,4,6,720,104,20,36,12,2,160,80,48,16,16,48,16,48,48,840,40,72,24,
24,24,24,8,40,24,24,8,1260,36,36,3360,48,48,15120,420,180,12,180,48,40,4,4,240
,8,24,8,20,80,12,12,4,48,32,4,12,4,4,12,2,8,8,24,60,16,16,40,24,24,8,8,8,8,8,8
,420,44,4,6,6,20,120,12,24,12,6,2,2,8,4,4,36,2,120,24,48,840,420,20,72,12,12,8
,4,2,8,4,8,4,160,20,48,12,12,4,2,8,4,12,12,4,4,4,16,8,8,4,8,16,24,4,8,4,8,4,4,
4,36,60,6,6,8,420,12,180,12,20,20,12,4,12,12,16,2,4,2,2,4,2,12,2,8,12,2,4,8,2,
8,16,4,40,20,24,8,12,4,4,4,24,12,2,4,8,4,8,4,4,4,4,4,4,4,4,12,8,4,6,6,2,3360,
420,4,6,6,8,4,2,20,12,4,4,24,12,2,12,12,4,2,12,2,4,4,4,4,2,8,4,4,4,4,12,4,2,2,
2,2,2,4,2,120,20,24,12,48,12,2,8,4,2,2,4,2,4,4,2,4,2,4,2,60,12,4,2,2,2,2,2,2,8
,4,2,4,420,4,4,6,2,6,2,2,20,12,12,2,2,12,4,4,2,2,2],[720720,16128,320,1040,
50400,441,18,36,15120,420,160,240,64,80,16,84,36,16,420,84,3360,3360,427,15,
208,19,12,15,6,6,6,240,128,5,21,17,2,2,120,64,8,8,16,12,16,8,12,420,84,12,12,
16,16,12,8,8,12,12,16,420,12,6,9,3,3360,48,48,15120,420,9,3,9,3,16,3,1,5,5,48,
16,9,3,32,7,5,3,17,1,1,3,15,16,1,2,2,9,1,3,3,6,4,8,12,4,4,8,4,4,12,16,4,420,12
,12,6,2,3,1,2,16,16,4,4,6,6,4,4,1,3,1,3,12,2,2,32,48,420,420,84,12,16,9,3,1,1,
9,3,3,1,1,1,1,1,120,64,16,12,1,1,1,1,3,1,1,1,3,3,1,5,1,8,1,3,3,3,1,1,3,1,3,1,3
,1,3,1,1,1,3,6,2,2,4,420,12,9,3,16,16,4,6,2,4,4,4,2,1,2,2,1,12,2,2,4,4,2,2,2,8
,8,4,16,16,12,12,12,4,4,1,8,1,1,1,3,3,1,1,1,1,1,1,1,1,1,1,1,3,3,3,1,1,1,1,3360
,420,6,2,2,9,3,1,1,16,4,3,3,3,1,3,3,3,1,12,4,4,2,2,1,1,4,4,1,3,3,3,1,1,1,1,1,1
,1,1,32,16,48,12,2,3,1,3,1,1,3,1,1,4,1,1,1,1,1,1,6,3,3,1,1,1,1,1,1,8,4,1,1,420
,6,3,2,1,2,1,1,16,12,2,1,3,4,3,1,1,1],[720720,28224,480,752,30240,882,36,5040,
5040,128,720,32,80,16,16,840,24,16,560,5376,882,160,2,144,6,30,4,6,960,32,2,30
,6,2,120,720,32,8,16,8,840,120,8,24,16,120,16,8,882,36,36,560,32,24,32,24,5040
,120,6,120,144,6,8,2,2,960,32,2,144,24,24,8,2,2,2,6,2,2,6,30,2,120,8,24,24,20,
2,8,8,8,8,120,16,8,882,30,4,6,6,2,180,6,36,6,2,2,4,4,30,2,120,8,8,32,24,8,8,
840,120,120,8,24,8,120,32,2,2,24,8,144,2,6,2,2,2,2,24,8,8,24,24,24,36,20,2,2,2
,6,2,2,6,2,2,8,4,2,120,6,6,6,180,2,6,2,30,2,4,2,2,2,6,6,30,6,2,30,2,2,2,2,6,8,
24,8,2,8,120,8,2,8,24,36,4,6,6,2,560,20,6,6,2,2,2,2,2,2,2,120,4,2,2,6,24,6,24,
2,2,6,2,2,6,30,2,2,2,2,2,6,6,2,8,2,2,2,2,2,8,36,4,4,6,6,2,6,2,2,2,120,32,24,6,
2,24,2,2,2,6,2,2,2,2,20,2,2,2,2,2,2,2,2,4,6,6,6,2,2,2,2,2,2,8,8,24,2,20,6,2,2,
6,2,2,2,2,6,2,2,2,8,2,6,2,2,2,2,2,2,2,2,2,2],[720720,10080,1520,30240,882,36,
5040,252,280,400,132,72,48,16,560,1008,42,20,264,12,38,6,744,80,20,30,2,200,36
,48,24,8,8,12,8,16,12,8,882,36,36,560,40,40,5040,120,6,120,72,6,16,16,6,24,20,
72,56,6,6,32,32,6,6,16,8,2,6,8,24,6,20,2,36,8,4,4,12,8,4,42,12,38,6,6,20,102,
18,12,12,12,6,2,2,8,30,2,8,8,12,40,12,24,6,4,6,6,4,200,8,8,32,6,12,8,8,12,6,8,
6,8,6,8,6,36,20,2,4,8,2,8,2,4,4,4,2,120,6,6,6,2,20,6,10,6,12,16,2,2,2,2,4,2,6,
6,6,8,2,6,12,2,6,2,2,6,12,8,4,2,36,12,8,8,4,6,12,12,8,6,6,2,560,2,2,8,4,2,4,4,
4,6,4,2,2,6,6,6,32,6,2,2,2,6,6,2,2,2,4,2,8,6,6,2,4,2,2,2,2,2,4,12,4,4,6,4,2,2,
2,2,2,4,2,8,40,2,4,6,2,2,2,6,2,2,8,2,20,2,2,2,2,2,2,2,2,4,6,6,2,2,2,2,2,2,2,12
,8,4,2,2,8,2,2,4,2,2,2,6,2,2,2,4,2,2,4,2,2,2,2,2,2,2,2,2],[720720,26208,240,
37800,2268,144,6048,3360,80,80,240,1120,80,560,6160,1680,24,912,24,60,80,240,
80,1120,80,80,80,80,2268,144,144,560,8,8,6048,432,80,36,8,432,120,36,8,12,24,8
,600,24,8,360,40,8,4,50,8,80,80,80,80,80,1680,190,6,48,16,60,120,8,8,8,8,1120,
360,80,360,8,80,8,24,8,8,8,24,40,4,8,8,8,8,8,8,144,50,8,2,2,80,432,36,36,36,8,
80,36,12,30,2,6,18,4,8,8,8,8,80,8,80,8,8,80,80,8,8,8,8,8,48,16,560,40,8,2,2,6,
2,2,2,360,40,4,18,8,8,2,8,18,2,2,6,4,2,2,8,8,80,80,8,36,8,120,8,8,2,2,2,2,80,8
,8,8,8,8,8,8,2,50,8,2,4,18,4,2,8,8,8,8,2,80,8,8,40,6,2,2,8,2,8,8,8,2,2,2,2,2,8
,4,8,2,2,2],[720720,6048,560,12600,378,72,90,1008,140,120,80,20,16,840,8,80,
560,70,60,32,24,2,312,56,20,18,30,2,40,4,8,40,8,8,4,8,80,40,4,168,30,24,36,12,
560,8,8,1008,140,12,18,20,6,8,4,4,12,18,20,6,20,8,8,16,12,2,2,20,16,6,2,2,2,
240,6,8,24,8,2,2,50,8,4,40,4,4,8,4,4,24,8,8,10,6,2,4,2,6,24,6,2,120,8,8,8,8,40
,8,16,6,4,16,6,2,40,4,4,4,4,4,8,2,2,8,8,2,4,4,8,2,2,2,8,4,4,12,50,8,2,2,4,12,
18,6,6,6,20,6,8,8,8,4,8,6,8,2,6,2,2,4,2,2,6,12,2,8,8,8,8,4,4,4,4,4,4,4,4,4,40,
4,2,8,4,4,4,4,4,6,4,2,70,40,8,2,2,6,2,2,2,16,6,8,2,4,4,2,6,4,2,2,4,4,6,2,4,2,2
,2,2,2,8,8,4,4,4,4,6,8,2,20,2,8,2,2,2,2,4,4,4,4,4,4,2,4,4,4,4,4,2,10,4,2,4,6,4
,2,2,2,2,2,8,2,4,4,4,4,8,2,2,2,4,2,2,4,2,2,2,2,2,2,4,2,2,2,2,2],[720720,11424,
480,1552,30240,882,36,5040,420,208,400,96,80,48,148,60,16,140,60,560,1456,42,
160,22,312,6,12,58,4,12,600,112,22,12,18,6,4,120,32,24,24,24,36,16,8,20,140,60
,12,12,8,8,12,8,8,12,12,8,882,36,36,560,32,24,32,24,5040,120,6,120,24,6,16,6,
16,24,16,10,4,6,2,40,64,16,22,88,48,24,24,10,10,40,32,2,2,6,6,6,6,6,10,16,4,4,
12,14,4,6,8,2,8,2,6,20,2,12,8,12,4,4,8,4,4,12,8,4,42,12,58,4,12,12,22,100,6,12
,12,12,12,4,4,4,4,4,4,18,12,12,4,20,20,8,32,24,8,8,140,60,6,8,2,6,6,8,4,2,2,2,
2,2,2,120,32,2,8,2,6,24,8,16,16,8,16,6,6,6,6,6,2,2,2,2,12,8,8,6,10,4,8,2,6,2,2
,2,2,6,4,2,2,2,6,4,2,2,2,36,20,2,2,2,6,2,2,6,2,2,4,120,6,6,6,22,6,6,8,10,12,24
,4,4,4,4,4,4,4,4,4,2,4,4,6,6,4,10,6,4,4,14,12,12,4,10,4,4,4,4,4,4,4,4,4,6,2,4,
4,4,6,2,2,8,8,8,4,4,2,8,8,12,12,2,8,8,2,6,6,2,2,2,2,2,2,4,2,2,2,2,2,2,12,12,12
,4,4,12,4,4,560,2,4,2,2,2,2,6,2,2,2,2,2,2,2,6,8,2,2,2,6,6,4,8,2,6,6,24,2,2,6,6
,10,4,4,4,4,4,4,4,4,6,6,2,2,4,4,2,6,2,6,2,2,6,4,4,2,2,2,2,2,2,2,2,2,4,2,2,2,2,
2,4,2,12,4,4,6,12,4,4,4,4,4,4,4,4,4,4,4,4,20,20,32,24,2,2,2,2,2,2,2,2,2,2,2,6,
4,2,6,2,4,6,2,2,2,2,2,2,2,2,2,2,2,20,2,2,2,2,2,2,2,2,2,4,6,6,4,4,4,2,2,4,4,4,4
,2,8,8,4,4,8,2,2,2,2,4,2,6,2,2,2,2,2,2,2,2,2,2,2,6,4,2,2,2,2,4,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[720720,33600,1680,30240,882,36,5040,7392,200,
1680,360,36,980,36,560,6048,882,336,66,12,1344,96,12,66,200,1680,360,36,980,
200,36,36,36,200,36,882,36,36,560,40,40,5040,120,6,120,336,6,30,96,8,1344,336,
32,96,96,6,66,8,12,30,120,8,2,32,2,20,2,360,36,200,36,36,36,36,882,66,12,12,
222,30,36,12,12,66,12,12,140,12,12,40,12,980,120,36,8,2,120,32,8,8,8,8,2,2,200
,8,96,8,32,336,6,96,96,8,8,30,32,2,8,32,8,2,32,8,2,8,8,36,20,2,4,8,2,8,2,4,36,
120,6,6,6,222,30,30,66,2,12,12,6,30,66,6,30,12,12,66,12,12,2,30,6,2,2,12,40,12
,2,36,200,36,8,96,8,32,8,8,8,2,8,8,8,8,8,12,36,12,12,12,560,20,4,2,8,2,8,4,2,4
,4,4,120,8,2,2,2,6,30,32,2,6,32,6,2,6,66,2,2,30,30,12,8,6,2,6,2,2,30,2,2,2,2,2
,2,2,2,2,12,2,2,2,2,2,36,8,36,12,6,12,12,12,12,12,12,12,140,12,40,8,4,2,4,4,4,
32,8,2,2,30,2,6,2,8,8,8,2,2,2,2,2,2,2,20,2,2,2,2,2,2,2,2,2,12,6,6,12,12,2,2,12
,12,2,12,40,12,4,8,2,20,4,2,8,2,8,2,4,2,2,2,2,2,6,12,2,2,2,2,12,2,8,4,2,4,4,4,
2,2,2,2,2,2,2,4,2,2,2,2,2,2],[720720,10080,480,1232,30240,882,36,5040,252,208,
400,32,80,16,108,36,16,84,36,560,1008,42,160,2,216,6,38,4,6,744,80,2,30,6,2,
200,32,8,36,16,8,36,4,12,12,4,4,12,12,882,36,36,560,32,40,32,40,5040,120,6,120
,72,6,16,16,2,2,24,32,2,72,32,24,8,24,32,2,2,2,6,2,2,6,6,8,2,8,8,24,20,2,36,8,
4,4,4,4,12,42,38,4,6,6,2,102,6,18,12,6,2,2,8,4,4,30,2,12,8,32,40,8,8,12,4,4,8,
4,200,32,8,2,8,2,32,8,2,6,2,2,2,2,12,8,8,8,4,4,8,36,20,2,4,2,2,8,2,2,8,2,4,2,4
,42,6,120,6,6,6,2,2,6,2,6,10,16,2,4,2,2,2,2,4,2,6,6,6,2,8,12,2,2,2,2,6,2,8,12,
4,4,4,4,4,2,36,8,8,2,12,4,12,8,4,6,6,2,560,8,2,2,2,4,2,4,2,4,2,4,2,2,6,2,2,2,6
,32,2,2,6,2,6,6,2,2,2,2,4,2,2,2,8,2,2,2,4,2,2,2,2,2,2,2,4,4,4,12,6,4,2,2,2,2,2
,4,2,32,40,4,2,6,2,2,2,2,2,2,8,2,20,2,2,2,2,2,2,2,2,2,2,2,2,4,6,2,2,2,2,2,2,2,
2,12,8,4,2,8,2,2,4,2,2,2,2,2,2,2,2,6,2,2,2,4,2,4,2,2,2,2,2,2,2,2,2,2],[720720,
28224,1040,30240,882,36,5040,5040,200,720,24,36,924,60,560,5376,882,20,192,12,
30,6,960,32,20,30,2,120,720,12,840,160,24,24,12,120,24,12,882,36,36,560,24,24,
5040,120,6,120,144,6,8,6,960,20,144,48,6,6,8,6,30,8,2,120,6,8,48,6,20,2,24,12,
120,12,12,12,12,882,12,30,6,6,20,180,12,12,36,6,2,2,30,2,120,8,24,4,4,840,120,
24,6,120,24,6,6,8,4,120,24,144,6,4,6,24,6,4,24,6,4,48,6,36,20,2,6,2,6,2,12,42,
6,120,6,6,6,180,20,6,12,30,2,2,2,6,6,30,6,2,6,30,2,2,6,6,24,4,4,2,120,12,12,24
,6,4,36,12,6,6,2,560,20,2,6,2,6,2,120,6,20,6,6,24,6,6,6,24,6,6,6,6,6,30,6,2,6,
6,6,6,4,2,2,2,12,36,12,12,6,6,2,6,2,2,2,120,8,24,6,2,6,24,6,6,6,6,6,6,6,20,2,2
,2,2,2,2,12,6,6,6,6,2,2,2,2,2,24,4,4,6,20,2,6,2,6,2,2,2,2,6,6,6,2,4,2,6,2,2,6,
2,2,2,2,2,2,2],[720720,8064,320,1040,5040,252,18,36,140,80,240,64,60,36,16,924
,60,560,336,112,60,88,16,12,12,6,6,6,120,32,20,24,8,2,2,12,16,12,40,24,8,8,8,
120,12,12,8,42,12,6,9,3,560,24,24,140,8,2,8,2,8,6,4,20,24,8,18,6,8,8,8,4,8,12,
8,2,2,2,120,6,2,24,6,6,20,2,8,4,4,4,12,4,12,42,12,6,6,2,3,1,2,4,4,4,4,6,6,4,4,
1,3,1,3,6,2,2,120,8,24,4,4,40,8,8,2,8,8,2,2,2,2,12,4,4,4,2,6,4,2,2,24,6,2,6,2,
4,3,20,2,6,2,6,2,4,42,6,8,2,2,2,4,4,4,6,2,2,2,4,2,1,2,2,1,2,6,2,2,2,2,2,2,2,2,
6,6,24,4,4,2,12,4,4,2,2,4,3,3,3,1,1,1,1,70,20,2,6,2,6,2,8,2,4,2,2,2,4,2,2,4,2,
6,2,6,6,2,2,2,2,2,2,2,2,4,2,2,2,4,3,3,3,2,1,1,1,1,1,1,1,1,20,4,6,6,2,2,2,4,6,2
,2,2,2,2,4,1,2,2,2,2,2,3,2,2,2,1,1,1,1,1,1,6,2,2,2,4,1,2,1,2,1,2,2,2,2,2,2,1,2
,1,2,1,2,2,1,1,1,1,1,1,1],[720720,576,720,2520,36,36,48,40,16,120,8,5,96,24,12
,2,4,24,6,16,8,8,8,4,120,8,8,8,12,9,3,5,1,1,1,1,4,8,8,4,2,4,12,5,4,8,4,8,4,12,
1,3,3,2,1,1,1,1,1,1,1,2,1,4,2,4,4,4,4,2,12,2,2,3,1,5,1,4,12,1,2,1,1,1,2,4,2,2,
2,2,2,3,1,1,1,1,1,1,2,12,1,1,2,2,1,3,1,1,1,2,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1],
[686400,320,2400,1680,24,168,160,8,32,80,8,120,160,24,48,24,24,6,12,12,3,40,4,
16,8,8,2,2,2,8,4,120,6,6,40,4,16,6,12,3,3,3,3,4,8,2,2,2,4,1,1,1,20,6,4,3,2,1,
20,2,2,4,2,4,1,1,1,1],[675675,14175,375,1235,9450,315,108,6615,1365,155,315,
555,63,135,79,39,39,153,57,31,525,57,55,11,840,105,105,84,9,36,9,6,270,50,35,
27,3,2,35,315,215,79,19,39,39,19,135,27,27,31,27,51,27,63,81,7,31,27,27,27,57,
7,525,95,57,33,33,25,19,19,11,45,5,5,5,5,21,9,9,9,9,7,3,9,9,5,1,1,1,35,95,15,7
,7,11,7,21,33,19,11,11,7,3,3,3,3,1,36,945,105,12,5,9,3,2,3,270,12,9,26,9,18,18
,9,3,1,90,35,36,36,27,9,14,6,3,1,9,3,3,3,3,9,6,3,2,90,9,6,1,12,10,3,3,135,45,7
,57,31,27,27,27,27,15,27,39,19,19,27,27,27,7,35,35,15,9,9,9,7,7,7,7,3,7,3,3,7,
7,3,3,3,3,3,35,95,15,9,21,21,21,7,7,7,3,7,7,7,7,7,7,9,7,3,3,7,7,21,33,21,19,11
,11,11,11,7,7,11,7,7,7,7,7,9,9,9,7,3,5,3,3,3,3,5,3,3,3,3,5,3,3,3,3,5,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,21,21,11,7,7,7,7,7,7,11,3,3,3,1,1,9,9,3,3,3,3,3,1,1,1,1,1,3
,1,1,1,3,1,1,1,36,2,12,12,6,6,2,105,105,35,21,5,5,9,3,12,9,3,1,1,2,1,1,90,12,9
,3,6,6,6,2,3,1,1,1,6,1,1,45,35,25,5,3,9,2,1,1,1,1,2,1,14,2,18,18,1,3,36,12,9,3
,3,3,3,3,1,1,1,2,6,6,6,3,9,5,2,1,1,12,10,3,3,2,6,1,1,12,3,1,3,2,1,12,3,1,3,2,2
,1,2,6,6,1,2,2,6,1,2,15,7,27,19,27,27,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,15,35,9,
9,3,3,3,7,7,7,3,3,3,7,7,3,3,3,3,3,7,7,7,7,7,3,3,3,3,5,5,3,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,7,7,3,7,3,3,3,3,21,21,5,3,3,3,3,3,7,7,7,9,7,3,7,7,7,7,7,7,7,7,7,7,7,
11,3,9,3,3,3,3,3,3,3,3,3,1,1,1,1,1,7,3,3,3,7,7,3,7,7,7,7,3,3,3,3,9,9,3,3,3,3,3
,3,3,3,9,3,3,3,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,12,9,2,12,6,2,2,2,2,2,45,3,3,13,1,9,3,3,9,9,1,1,1,3,1,18,15,35,7,3,3,3,3,
3,3,9,3,9,9,9,9,5,1,1,1,1,3,1,1,1,1,1,1,1,1,1,2,15,3,3,1,2,6,1,3,3,3,5,1,12,3,
3,1,1,1,1,1,2,2,2,1,6,2,2,2,6,2,6,6,6,1,1,2,2,6,1,2,2,6,2,1,2,2,1,2,2,2,2,3,2,
1,1,2,1,2,27,5,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,7,7,3,7,7,7,3
,3,7,7,7,7,7,3,3,3,3,3,7,3,1,3,1,1,1,1,1,1,1,1,1,3,3,3,1,1,1,1,1,1,1,1,9,3,3,3
,3,3,3,1,1,1,3,3,3,1,1,1,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,1,1,1,3,3,3,1,1,1,1,3,3
,3,1,1,1,1,3,3,1,1,1,1,1,12,9,2,1,12,3,3,2,2,2,12,3,3,2,2,2,1,2,2,3,1,5,2,1,1,
1,1,7,1,1,9,1,3,9,15,3,3,3,3,3,3,1,1,1,1,1,1,1,3,3,9,3,1,3,1,1,1,1,9,3,3,3,3,3
,3,3,1,1,1,1,1,1,1,1,1,2,1,3,1,1,3,3,1,1,1,1,6,2,3,3,1,1,1,1,1,6,3,3,5,1,1,1,1
,3,2,2,3,3,1,2,2,2,2,2,1,2,1,1,1,2,2,2,1,2,2,1,1,1,3,7,1,1,1,1,1,1,1,1,1,1,1,1
,3,3,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,3,3,3,1,1,1,1,1,1,1,1,1,1,1,3,1,3,3,1,1,3
,1,12,3,1,3,2,2,2,1,2,1,2,2,1,2,1,2,5,1,9,1,3,3,1,1,3,2,1,2,3,3,2,1,1,1,1,1,1,
3,1,1,1,1,3,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,2,2,1,3,3,3,3,1,1,2,2,
1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,3,3,1,1,1,1,2,2,1,1,1,1,3,
1,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,3,1,1,1,1,1,1,1,2,2,2,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1],[675675,21735,495,1155,18900,
630,2835,3465,135,255,755,63,111,123,43,63,189,45,51,525,81,55,19,3360,630,30,
144,18,18,540,36,30,18,18,105,195,615,51,15,19,31,15,75,27,27,39,27,63,51,63,
153,21,27,39,15,27,45,21,525,115,45,33,45,45,27,15,11,55,9,9,9,9,21,9,11,11,19
,7,3,15,15,45,9,9,9,55,115,45,19,11,11,7,21,33,15,15,15,15,9,9,9,3,1,630,1890,
90,15,180,72,18,12,20,12,6,6,480,30,96,48,24,16,6,6,6,18,6,6,18,18,8,120,8,24,
4,45,135,21,45,27,27,9,21,15,45,51,19,15,15,21,15,9,21,25,25,15,15,15,9,5,5,9,
9,5,9,3,5,9,9,9,5,3,3,3,55,115,45,9,15,15,21,19,11,11,3,7,5,5,7,5,11,11,5,3,3,
5,7,27,33,27,15,15,11,11,11,9,9,11,11,11,15,15,15,11,15,11,11,9,9,9,9,9,9,9,9,
9,9,9,9,9,9,9,9,45,9,9,9,9,9,9,9,9,9,9,9,9,9,9,15,27,11,15,11,11,7,5,9,11,9,9,
9,9,9,9,9,3,3,3,3,3,1,1,1,1,1,3,1,1,1,3,1,1,1,630,18,30,60,18,18,420,90,36,15,
15,6,3,3,120,24,8,8,8,4,8,90,18,15,6,3,3,12,12,12,6,48,72,6,18,6,6,6,6,12,16,8
,8,24,4,4,24,4,24,4,4,8,8,4,4,45,21,9,15,15,9,45,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9
,15,25,15,9,3,3,3,5,5,5,5,5,5,5,9,3,3,3,9,9,5,9,5,7,7,3,3,3,3,15,15,9,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,9,9,11,9,5,3,3,3,3,15,27,9,9,9,9,9,9,11,15,11,11,11,3,11,5
,5,7,5,5,5,9,9,9,9,11,9,9,3,3,3,3,3,3,5,5,3,1,1,1,1,1,5,5,3,5,5,5,9,5,7,7,7,5,
3,3,3,9,9,3,3,3,3,3,3,3,3,9,3,3,3,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,9,9,9,9,9,9,
1,1,1,1,1,1,1,1,1,1,1,1,12,2,90,60,30,18,6,6,6,18,18,18,6,6,6,6,30,18,6,3,6,10
,6,3,3,15,12,80,12,8,24,12,15,4,3,3,3,3,3,6,3,3,3,3,6,20,4,12,8,6,6,2,24,4,4,4
,8,4,4,4,8,4,8,8,8,4,4,4,4,4,4,4,4,4,9,15,9,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,9,9,9,9,3,3,9,11,9,5,5,5,3,9,5,5,5,5,7,3,3,3,3,5,5,3,9,3,1,1,1,1,1,1,1,1,1,3
,3,3,1,1,1,1,1,1,1,1,9,3,3,3,3,3,3,1,1,1,3,3,3,1,1,1,3,3,3,3,5,5,5,3,3,3,3,3,3
,3,3,3,3,3,5,3,3,1,1,1,1,5,5,3,1,1,1,1,3,3,1,1,1,1,1,90,6,4,6,2,18,12,12,2,2,6
,6,6,6,6,6,6,6,6,15,15,3,3,3,6,6,6,15,3,20,6,4,4,4,2,4,12,18,6,8,4,4,6,3,3,3,3
,3,3,3,2,2,6,2,4,6,2,2,8,6,2,2,4,4,4,4,4,4,4,4,4,9,3,5,3,3,3,3,3,3,3,3,3,3,3,3
,3,3,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,5,3,3,1,1,1,1,1,3,1,1,1,1,1,3,1,3,3,1,1,
15,6,12,2,6,2,2,6,2,2,2,2,2,6,6,2,2,6,15,3,3,3,3,3,3,6,4,3,4,3,3,3,3,2,2,2,2,2
,2,2,2,2,6,2,2,2,2,2,2,4,2,4,4,4,4,3,3,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,15,3,15,3
,3,6,3,2,2,2,2,2,2,2,3,3,2,4,3,2,2,2,3,3,3,3,2,2,2,2,1,15,3,3,3,3,3,3,1,3,1,3,
3,3,3,1,1,2,3,2,3,3,1,1,1,3,3,3,3,1,1,1,1,1,1,3,1,1,1,1,1,1,1],[617760,36288,
480,75600,2520,30240,5040,240,480,3360,10080,11760,2520,120,72,1080,120,360,
240,480,3360,240,240,2520,10080,48,48,30240,2520,360,360,72,1080,120,72,24,360
,24,24,240,2520,120,120,720,48,360,3360,2520,360,120,360,24,240,120,24,72,24,
24,24,2520,360,120,120,48,24,240,120,24,10080,2520,360,120,24,24,720,120,48,24
,360,48,2520,120,360,24],[617760,30240,480,96,75600,2520,30240,2520,96,96,24,
2520,24,10080,10080,2520,240,24,24,360,96,24,360,96,24,2520,24,24,24,24,2520,
10080,96,96,30240,2520,360,360,24,360,96,24,24,24,24,360,24,24,24,2520,24,24,
360,24,96,360,2520,2520,360,24,24,360,24,96,24,24,24,24,24,24,2520,360,24,24,
24,24,24,24,24,10080,2520,360,24,24,24,360,24,24,96,24,360,24,2520,24,360,24],
[617760,30528,480,75600,2520,30240,2520,80,160,72,2520,72,10080,10080,2520,144
,24,480,48,24,360,80,24,2520,72,24,24,24,2520,10080,48,48,30240,2520,360,360,
16,8,360,48,24,8,24,360,8,8,24,2520,24,24,360,24,48,360,2520,2520,360,72,24,8,
360,8,8,8,80,24,8,8,8,8,2520,24,360,24,8,8,24,24,8,8,10080,2520,360,8,24,8,360
,24,48,24,8,360,8,8,2520,24,360,8],[617760,12960,480,480,43200,360,12960,360,
96,96,72,360,72,2880,2880,360,96,24,192,24,3,96,24,360,72,24,24,24,360,2880,
12960,360,48,24,3,3,3,24,360,24,24,48,3,3,360,360,72,24,96,24,3,3,3,3,3,3,3,3,
360,24,24,3,3,3,3,3,3,24,24,3,3,3,3,3,3,3,2880,360,3,3,24,3,3,3,3,3,48,24,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,360,3,3,3,24,3,3,3,3],[600600,2520,120,120,25200,
1680,54,192,2520,40,40,40,8,24,24,8,8,8,240,48,48,6,40,24,8,8,40,8,8,8,8,8,8,8
,8,8,1680,192,192,6,6,2520,240,40,48,16,2,2,8,240,48,16,16,16,2,40,8,8,8,8,8,8
,8,8,8,48,40,24,16,8,2,2,2,2,16,16,192,6,6,8,8,8,240,48,48,48,16,2,48,40,8,8,
16,8,8,2,2,40,16,2,8,8,16,8,16,6,8,8,8,2,48,40,16,16,8,2,16,16,8,8,8,2,8,16,8,
8,2,8,2,8,2,2,2],[600600,13440,720,1000,6300,105,30,840,2100,160,440,80,120,40
,124,60,24,280,64,8,1120,105,120,25,84,9,12,9,12,2,240,52,25,30,9,9,4,60,360,
48,20,12,12,72,24,12,32,70,70,10,6,34,34,22,10,2,8,10,4,20,8,4,8,24,4,12,105,
12,3,3,3,9,30,30,48,3,4,3,20,6,10,7,4,5,3,220,16,12,25,56,18,30,10,7,7,28,16,
12,3,3,5,9,5,5,3,9,10,12,2,12,2,3,2,10,1,6,4,2,1,22,10,1,1,4,60,18,6,12,4,2,4,
4,4,2,4,20,2,8,4,8,8,6,4,2,2,20,6,6,4,12,10,6,6,6,2,6,2,4,2,105,3,12,9,12,3,1,
1,25,25,9,9,3,3,3,1,1,1,3,3,3,2,9,12,3,3,1,3,3,3,3,3,1,10,4,4,2,4,1,1,6,2,2,4,
1,1,1,1,4,2,2,2,1,1,2,9,3,12,6,2,3,3,12,12,6,4,4,2,48,4,12,6,3,3,5,3,3,3,3,3,3
,12,16,12,6,8,3,7,2,4,4,4,1,1,4,2,4,1,1,4,4,4,2,1,1,1,4,1,2,10,22,6,6,1,1,1,8,
2,1,2,4,2,2,1,2,8,6,1,3,3,3,4,4,2,2,6,6,2,6,4,2,2,2,2,2,2,105,9,1,25,25,9,5,9,
5,7,3,7,1,3,3,3,1,1,1,1,1,3,3,2,1,3,1,2,3,12,3,3,3,1,12,9,3,12,3,3,1,3,1,1,1,7
,7,1,1,3,3,1,1,1,3,5,3,3,3,3,3,5,1,1,2,1,1,1,1,1,2,3,1,1,1,1,1,3,3,9,3,3,1,1,3
,1,1,12,6,6,2,3,3,6,3,4,4,2,2,4,1,1,1,1,1,1,1,2,2,4,2,2,2,1,2,2,2,2,4,2,2,2,2,
2,2,1,1,2,2,2,1,4,2,2,2,2,2,1,6,6,8,6,2,1,2,2,4,2,3,3,3,3,3,1,3,3,3,1,1,1,3,3,
3,1,2,25,9,5,5,7,3,1,1,12,3,3,3,1,3,9,1,3,1,1,1,2,7,7,1,3,1,1,1,1,1,3,3,5,3,5,
3,3,3,1,2,3,3,3,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,2,3,3,3,3,3,3,3,1,1,3,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,3,1,1,6,1,3,4,
2,2,2,2,2,2,1,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,1,1,3,3,1,1,1,1,3,3,3,3,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,3,1,3,1,1,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,2,7,3,1,1,3,3,3,3,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,3,3,3,1,1,1,2,3,3,3,3,3,3,3,3,3,3,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
3,3,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,3,3,1,3,3,1,1,1,1,1,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,3,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,1,1,1,1,1,1,1,1,3,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,3,1,1,1,3,3,1,1,1,1,1,3,1,1,1,1,1,1,1],[600600,23520,240,
1320,14700,525,12,39,840,5040,120,1080,48,40,24,208,60,8,280,64,8,3360,525,40,
15,236,3,5,57,1,21,12,840,84,15,3,57,3,3,60,1080,16,12,12,12,180,8,4,32,210,90
,22,18,46,22,10,6,2,8,6,4,60,8,4,4,32,4,12,525,39,39,12,12,12,12,12,840,30,3,3
,30,3,216,3,4,9,36,6,18,7,1,3,1,840,16,4,15,216,22,10,6,7,7,48,36,4,1,1,3,3,3,
3,3,57,18,1,1,1,3,9,3,30,1,18,4,3,7,10,22,7,1,1,180,18,6,4,4,2,4,4,4,2,4,60,2,
8,4,4,4,2,4,2,2,32,18,18,4,12,6,6,2,18,2,6,2,4,2,525,5,57,1,12,12,12,12,12,21,
21,15,165,3,17,5,5,39,21,3,3,3,1,1,12,2,2,2,2,57,3,3,3,210,30,22,1,6,3,3,30,4,
4,2,12,1,1,18,6,6,12,1,1,1,1,4,2,2,3,3,3,1,60,16,6,1,36,6,2,1,3,12,4,2,4,4,2,
216,4,4,2,3,3,3,3,3,1,1,1,1,36,36,1,6,12,9,7,1,12,4,4,3,1,12,2,1,1,1,4,4,12,2,
1,1,1,12,7,1,22,10,2,2,1,1,1,4,6,3,1,4,6,2,1,6,4,2,1,39,12,12,12,4,4,2,2,18,2,
2,6,4,2,2,2,2,2,2,35,7,1,30,3,3,3,3,3,3,3,3,3,3,165,15,3,3,17,9,7,5,57,1,1,1,1
,1,1,3,3,3,1,7,3,12,1,21,2,2,2,3,3,3,9,1,57,3,1,1,1,9,3,3,3,7,57,1,1,1,1,1,1,3
,3,3,1,1,7,1,3,9,3,3,1,1,3,1,3,7,3,3,7,1,18,4,60,4,18,2,1,4,6,4,2,36,6,2,2,1,3
,2,2,2,4,4,2,2,12,1,1,1,1,1,1,1,6,6,12,2,2,2,3,1,2,2,2,4,2,2,6,6,2,2,1,1,2,2,6
,1,4,2,2,2,2,6,1,2,2,4,2,6,1,2,2,4,2,3,39,5,3,12,1,2,2,21,12,12,12,21,3,12,2,2
,2,30,1,6,3,3,3,3,3,3,3,3,3,3,15,3,3,3,7,1,1,1,3,1,9,1,12,4,3,1,1,1,1,1,1,3,3,
12,4,1,1,3,1,1,1,1,3,3,1,7,1,3,3,1,1,57,7,1,1,1,1,1,1,1,7,3,9,9,3,3,1,1,3,1,1,
1,3,6,1,3,1,1,1,1,1,3,1,3,3,1,1,1,1,1,3,3,1,1,3,1,1,9,3,3,1,1,3,1,7,1,3,1,3,3,
3,3,1,3,7,1,1,1,3,1,1,1,1,3,3,1,1,7,1,1,1,12,4,2,18,2,2,2,2,2,2,4,2,2,2,2,2,6,
1,2,2,2,2,2,2,2,3,39,5,3,1,1,3,2,1,5,1,2,3,3,3,3,3,3,3,3,3,1,3,1,3,3,1,1,3,21,
3,1,12,2,2,21,1,1,3,3,3,2,2,3,1,2,1,3,12,4,1,1,1,1,6,2,1,1,1,1,3,3,3,9,3,3,1,1
,1,1,1,1,1,1,1,1,1,3,1,1,3,1,7,1,1,1,1,1,3,3,3,6,2,1,6,1,2,6,1,2,2,1,1,3,1,1,7
,1,1,3,1,1,1,1,1,3,1,3,3,1,1,1,1,1,1,3,1,1,1,3,12,12,2,2,2,5,1,1,1,1,3,3,1,1,1
,3,3,1,1,3,3,1,3,1,1,1,3,21,3,1,1,3,2,3,1,3,1,3,3,3,3,3,3,1,1,3,1,1,3,3,1,1,3,
1,3,1,1,1,3,1,1,3,1,3,3,1,1,1,1,1,3,1,3,1,1,3,3,1,2,1,1,1,3,1,3,1,1,2,6,1,2,2,
2,2,2,1,1,1,1,1,1,1,3,1,1,1,1,3,12,2,12,2,2,2,2,3,1,1,3,1,1,1,1,3,1,3,1,1,1,3,
1,1,1,1,3,1,1,3,3,1,1,1,1,1,1,1,3,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,3,
1,1,3,1,3,1,1,1,1,1,1,3,2,1,3,12,2,3,1,3,1,2,2,2,1,1,3,1,3,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,3,1,3,1,1,1,1,3,1,2,1,1,3,1,1,1,1,1,1,1],[600600,840,120,
1000,8400,210,84,93,840,8,8,16,24,36,24,20,4,60,96,25,12,1,15,12,16,10,21,6,6,
7,8,4,24,6,4,2,20,4,4,4,4,4,4,6,2,9,3,24,12,12,21,6,9,840,21,6,21,6,3,2,2,6,6,
4,8,1,1,1,3,2,5,6,3,2,8,3,2,4,2,4,4,4,2,2,2,6,2,2,2,24,1,1,4,4,3,2,1,4,1,3,1,4
,4,3,1,3,3,9,3,4,24,6,3,2,6,2,2,3,2,1,8,2,2,2,1,1,5,2,1,1,3,1,4,1,8,2,4,3,9,3,
3,3,3,4,2,2,2,2,2,2,1,1,3,3,21,3,6,9,1,1,1,1,2,2,1,9,3,1,1,1,4,3,1,1,3,3,3,1,2
,4,4,1,2,3,2,1,1,1,4,1,3,3,1,3,1,1,1,1,1,1,1,1,3,3,3,3,2,6,3,1,1,1,2,1,1,1,1,1
,1,1,3,3,3,3,1,1,1,1,1,1,1,1,2,1,1,3,3,1,1,2,1,1,1,1,3,4,2,1,1,1,2,1,1,1,1,9,3
,3,3,3,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,1,1,1,1,3,1,1,2,1
,1,1,1,1,1,1,1,1,1,3,3,1,1,1,1,1,3,1,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[
600600,15120,480,680,8400,210,3,12,2520,80,360,96,48,24,36,24,140,36,24,1680,
210,20,88,12,4,18,3,6,3,360,32,20,18,12,2,3,360,24,12,12,40,24,8,12,12,24,4,4,
12,12,24,12,12,4,210,12,12,3,3,3,3,3,72,8,6,6,3,360,20,72,8,6,6,8,6,6,12,18,8,
3,2,3,8,2,8,2,24,4,4,12,12,12,12,4,4,2,2,2,2,210,4,18,3,3,3,3,3,3,6,6,20,60,12
,4,4,4,12,6,2,2,3,3,3,3,3,3,1,1,1,1,18,2,3,8,4,2,2,72,6,4,6,3,4,2,4,2,8,2,12,3
,3,3,12,4,4,2,2,2,2,70,6,6,3,3,3,3,60,20,12,4,6,4,18,2,2,2,6,2,3,3,3,3,3,3,3,6
,1,1,1,18,2,3,6,18,2,6,2,2,3,3,2,2,2,4,12,4,3,3,3,1,1,6,3,3,3,6,2,3,1,1,3,3,2,
20,4,6,2,6,2,3,3,1,1,3,3,3,3,6,6,3,18,6,2,6,2,3,3,2,2,2,1,1,2,2,3,12,4,3,1,3,4
,1,6,2,3,3,3,1,1,6,2,2,1,1,3,3,3,2,1,6,2,6,2,3,2,2,2,1,1,3,3,3,1,4,1,6,2,3,3,1
,2,2,1,1,2,1,2,1,2,3,3,1,3,3,3,3,1,1,3,1,1,2,1,3,3,3,3,3,1,3,3,3,3,3,3,1,1,1,1
,1,1,1,1,1,1,1,1,3,1,3,3,3,1,1,1,1,1,1,3,1,1,1,1,1,1,1],[579150,12150,630,750,
1890,12150,630,330,270,270,54,150,150,54,90,54,18,66,630,54,90,18,630,90,54,18
,30,54,18,180,120,270,30,150,6,54,54,6,270,54,54,66,54,18,6,54,18,24,66,54,54,
54,18,24,630,30,54,18,18,90,18,18,6,60,18,18,18,18,18,12,12,12,6,12,12,30,6,6,
6,30,30,60,6,6,18,6,18,18,18,6,18,6,12,12,12,630,270,60,54,6,6,30,18,6,18,18,6
,6,18,18,12,270,24,18,66,54,54,54,54,6,54,6,6,54,54,54,24,30,30,60,6,6,6,6,6,6
,6,12,12,12,30,30,60,18,18,18,6,6,6,6,6,6,6,6,6,12,6,6,6,18,18,6,6,6,6,6,6,6,6
,6,6,12,12,12,6,12,18,12,12,12,12,18,12,12,12,12,18,12,12,12,12,30,6,6,6,6,6,6
,6,6,6,6,6,6,6,6,18,18,6,6,6,6,6,6,12,12,12,6,6,180,630,90,30,30,60,18,18,6,12
,6,30,30,18,18,18,6,12,6,6,18,18,6,6,6,30,12,24,54,6,54,54,30,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,60,30,12,12,12,6,6,6,6,6,6,6,6,6,6,12,12,12,12,30,30,6,6,6,6,6,6
,6,6,6,6,6,12,6,18,18,12,12,12,12,12,6,6,6,12,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6
,6,12,12,12,6,6,6,6,6,6,12,18,12,18,6,6,6,6,45,30,18,6,6,6,18,18,30,6,6,6,6,6,
12,6,6,6,6,6,12,6,6,6,15,54,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,
12,6,6,6,6,6,12,12,12,12,6,6,6,6,6,6,6,6,6,12,45,15,9,3,30,6,6,15,3,18,6,6,6,6
,6,6,12,6,6,6,6,6,9,6,3,6,12,6,6,6,6,6,6,6,6,6,90,30,15,30,6,15,3,3,3,3,3,9,6,
6,9,9,3,3,6,3,3,3,6,6,6,3,9,3,6,3,6,6,3,3,3,3,6,6,3,6,3,15,3,3],[554400,480,
108,36,24,16,12,2,4,6,4,16,4,12,9,3,3,2,2,4,12,1,3,2,1,1,1,3,4,1,2,1,2,1,3,1,1
,2,1,4,1,2,1,1,2,1,1,1,1,1,1],[554400,480,108,36,24,16,12,2,4,6,4,16,4,12,9,3,
3,2,2,4,12,1,3,2,1,1,1,3,4,1,2,1,2,1,3,1,1,2,1,4,1,2,1,1,2,1,1,1,1,1,1],[
540540,20412,540,1116,26460,1260,5292,2520,132,252,492,108,252,108,60,36,216,
72,36,840,72,60,12,420,4620,1260,180,216,36,576,180,36,252,180,108,36,60,60,36
,132,36,36,36,36,108,36,108,72,36,36,36,36,72,840,60,72,24,24,36,36,12,60,24,
12,12,12,12,12,12,60,60,12,12,12,12,24,24,36,12,12,12,1260,420,36,12,36,12,
4536,270,60,396,18,36,36,54,60,18,48,450,108,72,36,84,72,36,24,90,30,12,36,36,
30,270,18,18,6,30,132,72,36,36,36,36,36,36,60,36,36,36,36,36,60,60,12,12,12,12
,12,12,12,60,60,24,24,24,12,12,12,12,12,12,12,12,12,12,12,12,12,24,36,12,12,12
,12,12,12,12,12,12,12,12,12,12,12,24,12,12,12,12,12,12,12,1260,36,60,36,36,90,
6,18,6,12,12,12,12,36,12,12,12,12,12,12,12,840,270,72,60,18,12,270,18,6,6,6,18
,18,18,6,18,96,72,18,12,48,18,36,18,72,36,18,24,24,24,18,18,18,54,18,36,18,12,
12,12,12,36,30,30,30,6,18,6,6,6,18,6,6,6,6,6,18,6,6,6,18,18,6,6,30,6,6,36,36,
36,36,60,12,12,12,12,12,12,12,12,12,12,12,12,24,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,270,60,36,12,12,36,36,36,12,12,12,12,12,12,12,12
,12,12,12,12,12,12,6,6,18,6,6,6,6,6,6,6,6,6,96,24,12,18,24,24,60,36,18,60,36,
12,24,24,12,12,18,12,18,60,12,18,30,12,12,12,24,18,18,18,6,18,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,18,6,6,6,18,18,18,18,6,6,6,6,6,6,6,6,6,6,6,6,6,420,30,6,6,6,6,6,36
,12,12,12,12,12,12,12,12,12,12,270,18,36,6,18,6,18,12,12,12,18,12,12,12,12,12,
12,6,6,6,6,6,6,6,6,6,6,6,6,6,60,12,24,24,60,12,12,12,12,12,18,24,12,12,12,18,
12,12,6,6,6,6,18,12,12,6,6,6,6,6,6,6,6,90,18,36,12,6,6,6,6,6,6,12,60,18,6,18,6
,6,6,12,6,6,18,18,6,6,12,6,6,6,6,6,6,30,24,12,12,12,12,12,6,12,12,12,12,12,12,
12,12,6,6,6,18,6,6,6,6,6,6,6,6,6,6,60,12,12,18,6,6,6,6,6,6,6,30,6,6,12,12,12,
12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,6,6,6,6,6,12,6,6,6,6,6,6,6,12,6,6,6,6,
6,6,6,6,6],[540540,5292,1260,444,18900,252,216,5292,168,132,132,36,156,156,36,
144,72,12,12,420,420,420,12,36,36,24,180,84,36,42,132,156,36,36,132,36,36,72,
36,36,42,72,36,36,36,42,12,6,12,12,12,12,6,6,6,6,6,6,12,12,6,6,6,72,420,84,12,
84,12,3780,36,6,72,30,18,180,36,48,12,12,84,36,12,12,12,36,12,48,12,12,12,12,
12,132,42,72,36,36,36,36,36,36,36,36,42,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,12,6,6,
6,6,12,6,6,6,6,12,6,6,6,24,12,12,12,48,12,12,84,12,12,12,12,12,12,48,12,12,6,6
,6,6,6,12,60,84,12,6,42,12,12,12,36,12,12,12,12,42,48,12,12,12,12,12,6,12,6,12
,6,6,6,12,12,12,42,36,36,36,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,36,18,6,
12,42,12,12,12,48,12,12,12,42,12,12,12,12,12,6,6,12,6,12,6,12,6,6,6,12,60,48,6
,12,12,12,6,30,18,18,12,6,6,42,12,12,12,12,12,12,6,6,6,6,6,6,6,6,6,6,6,420,6,6
,12,36,6,6,6,6,6,6,6,6,12,6,6,42,12,12,12,12,12,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6
,42,12,12,12,6,6,6,6,6,12,6,6,6,6,6,84,12,6,6,6,6,6,12,6,6,6,12,6,6,6,6,6,6,12
,12,18,6,6,6,6,6,6,12,48,12,12,6,12,6,6,6,6,6,6,12,6,6,42,12,12,6,6,6,6,12,6,6
,6,6,6,12,6,6,6,6,6,6,6,6],[540540,8316,540,1116,18900,252,216,5292,252,132,
252,380,60,156,108,44,36,108,36,36,84,36,4,4,420,420,84,180,108,12,12,540,36,
36,252,12,108,12,44,44,12,132,36,36,36,36,36,12,60,36,36,36,36,36,36,84,4,36,
12,12,12,12,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,12,12,12,4,4,4,72,420,36,36,36,36,
3780,36,6,72,30,18,180,72,36,12,20,12,36,60,20,36,12,36,12,24,12,12,12,8,4,24,
4,12,132,36,36,36,36,36,36,12,44,12,12,36,36,36,4,4,4,4,4,4,4,4,4,4,4,12,12,12
,4,4,4,4,4,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,
4,24,12,12,12,20,12,12,36,20,20,12,36,12,12,12,12,4,4,4,4,12,2,4,2,4,2,8,4,8,4
,4,4,180,36,12,6,12,12,12,12,36,12,12,12,24,20,12,12,12,12,12,12,12,24,4,4,8,4
,4,4,8,4,4,4,4,4,4,12,4,4,36,12,36,36,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4
,4,4,4,4,4,4,4,4,4,4,4,4,4,4,36,18,6,4,12,12,12,12,12,12,12,12,12,12,12,12,20,
12,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,60,36,12,6,12,20,12,6,30,18,
18,12,2,4,2,4,12,12,12,12,12,12,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,420,6,6,4,36,4,4,4,4,4,4,4,4,4,4,2,2,6,2,12,6,6,12,12,12,12,12,12,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,12,12,12,12,4,2,6,4,4,4,4,12,4,4,4,4
,4,4,4,4,4,4,36,36,6,6,2,2,2,2,4,12,6,2,2,6,12,4,4,4,4,4,4,4,4,4,4,12,12,18,6,
2,2,4,4,4,4,4,12,12,20,12,12,6,4,4,2,2,4,2,2,2,6,4,4,2,4,12,12,12,4,4,2,2,6,4,
4,4,6,2,6,6,12,4,4,4,4,2,2,2,2,4,6,2],[540540,5292,780,412,18900,252,216,3780,
84,28,68,124,12,76,100,20,84,36,12,44,4,4,420,420,260,36,180,52,4,36,12,4,28,
60,4,52,4,4,12,4,4,12,12,36,12,12,4,12,12,28,28,20,4,12,12,28,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,72,420,52,12,52,12,3780,84,24,4,36,12,4,12,
24,36,28,4,8,4,4,52,12,4,12,24,8,8,28,4,4,12,28,12,28,12,8,4,4,4,4,4,8,4,28,4,
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,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,8,4,28,4,4,8,52,4,4,12,8,8,28,4,4,4,4,4,4,
60,4,52,4,12,12,4,4,4,4,4,4,4,28,4,4,4,8,8,4,4,28,28,4,4,4,4,4,4,4,4,4,4,4,4,4
,4,4,4,4,4,4,4,4,12,4,4,28,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4
,4,4,4,4,4,4,4,4,4,4,4,4,4,4,24,36,4,4,28,4,4,28,4,4,4,28,8,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,12,12,28,4,4,4,8,4,4,4,12,4,28,4,4,4,4,4,4,4,4,4,4,4,4,4
,4,4,4,4,4,4,4,4,4,4,4,4,4,420,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,28,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,28,4,4,4,4,4,4,4,4,4,4,4,4
,4,4,4,4,4,4,4,4,4,52,12,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4
,28,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,28,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4
,4],[540540,11844,180,876,15120,504,1512,756,12,32,316,36,84,24,8,108,4,252,36
,12,36,70,2016,504,144,24,192,48,24,32,36,24,8,8,12,36,12,36,36,4,4,4,4,252,12
,36,12,12,12,12,4,12,4,4,4,12,12,36,4,4,12,12,4,16,16,4,504,70,6,14,6,14,1512,
72,12,72,16,8,72,48,24,8,24,72,8,10,4,12,12,8,4,4,4,12,12,4,4,4,4,4,8,12,12,4,
4,4,4,4,12,12,4,4,4,4,4,16,4,4,4,4,4,504,24,24,8,2,2,6,6,2,6,6,6,2,14,2,2,2,6,
2,2,2,2,252,72,36,12,8,4,72,8,8,8,32,24,8,4,8,8,8,10,4,2,6,4,6,4,2,4,12,4,4,4,
4,4,4,4,4,4,4,4,4,4,8,4,8,72,24,6,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,8,4,4,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,12,8,4,12,12,12,4,12,4,8,12,4,8,2,2,2,2,6,
2,4,2,2,2,2,2,2,4,4,4,4,4,72,8,8,8,6,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4
,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,12,4,4,12,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,4,12,8,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,2,2,2,2,2,2,2,2,
2,2,2,2,2,12,4,4,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,2,4,2,2,2,2
,2,2],[540540,10332,540,636,26460,1260,5292,840,132,172,252,60,156,108,44,36,
72,24,36,280,24,20,4,420,1260,180,72,696,132,60,172,60,108,12,44,44,12,132,36,
36,36,36,36,12,60,24,36,36,36,36,24,280,20,24,8,8,12,12,4,20,8,4,4,4,4,4,4,20,
20,4,4,4,4,8,8,12,4,4,4,1260,420,36,12,36,12,4536,270,60,396,102,36,36,18,12,
60,6,40,90,60,48,20,28,24,36,16,18,6,12,6,30,2,6,34,8,4,30,132,24,36,36,36,36,
36,12,44,12,12,36,36,36,20,20,4,4,4,4,4,4,4,20,20,8,8,8,4,4,4,4,4,4,4,4,4,4,4,
4,4,8,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,90,18,60,30,2,6,2,12,12,
12,12,36,12,12,12,12,12,12,12,210,18,30,6,2,2,2,2,2,2,2,2,136,72,22,12,24,40,6
,36,6,24,36,6,16,16,16,6,6,6,18,6,20,6,12,12,12,12,6,6,6,34,6,2,2,4,8,8,2,6,2,
2,2,2,2,6,2,2,2,2,2,8,8,2,2,30,6,6,36,12,36,36,20,4,4,4,4,4,4,4,4,4,4,4,4,8,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,270,36,12,18,6,10,6,4,12,12,12,12,12,12,
12,12,12,12,12,12,2,2,6,2,2,2,2,2,2,2,2,2,96,24,24,12,18,6,32,24,60,36,6,10,6,
2,6,6,2,10,2,6,6,12,12,12,16,6,6,6,2,8,4,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,8,2,2,2,2,8,8,8,2,2,2,2,2,2,2,2,420,6,6,6,2,6,6,36,4,4,4,4,4,4,4,
4,4,4,24,18,18,22,6,2,6,6,4,2,2,12,12,12,12,12,2,2,2,2,2,2,2,2,2,2,2,2,2,12,24
,24,10,2,2,2,2,12,6,6,2,2,2,12,4,4,2,8,2,2,2,2,8,2,4,4,2,2,2,2,2,2,2,2,2,2,30,
6,36,12,6,6,6,6,2,2,4,60,18,6,4,4,2,10,6,6,2,2,12,2,2,2,2,2,2,30,24,12,2,2,4,4
,4,4,2,2,2,2,2,12,12,12,12,2,2,2,6,2,2,2,2,6,6,6,2,2,2,12,6,6,6,2,4,2,2,2,2,2,
6,6,4,2,12,12,2,2,2,2,2,2,2,2,2,6,2,2,2,2,12,2,2,2,6,6,2,2,12,2,2,2,2,2,2,2,2,
6,2,2,2,6,2,2,2],[540540,8316,540,1116,26460,1260,5292,252,132,252,380,60,156,
108,44,36,108,36,36,84,36,4,4,420,756,180,180,24,756,108,36,252,12,108,12,44,
44,12,132,36,36,36,36,36,12,60,36,36,36,36,36,36,84,4,36,12,12,12,12,4,4,12,4,
4,4,4,4,4,4,4,4,4,4,4,12,12,12,4,4,4,1260,420,36,36,36,36,4536,270,60,396,72,
36,36,44,36,12,36,60,20,60,36,36,12,12,28,12,4,4,12,12,4,4,24,4,30,132,36,36,
36,36,36,36,12,44,12,12,36,36,36,4,4,4,4,4,4,4,4,4,4,4,12,12,12,4,4,4,4,4,4,4,
4,4,4,4,4,4,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,24,90,18,36,12,
12,20,12,12,36,20,20,12,36,12,12,12,12,4,4,4,4,42,18,4,12,8,4,4,4,12,4,4,4,4,4
,216,72,18,12,12,36,36,36,36,12,12,12,24,20,12,12,12,12,12,12,4,4,4,24,4,4,8,4
,4,4,8,4,4,4,4,4,4,4,4,30,6,6,6,6,36,12,36,36,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4
,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,270,4,12,36,4,6,6,6,6,4,12,12,12,12,12,12
,12,12,12,12,12,12,20,12,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,96,36,
24,12,18,32,24,60,36,2,6,2,6,6,2,2,2,2,2,12,4,12,12,12,12,12,4,8,4,4,4,4,4,4,4
,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,420,6,6,6,2,2,2,2,6,6,2,36,4,4,4,4,4,
4,4,4,4,4,4,12,30,18,2,18,2,6,6,4,2,2,12,12,12,12,12,12,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,12,24,24,2,2,2,2,2,2,12,6,2,2,2,12,4,4,4,4,4,12,4,4,4,
4,2,2,4,4,4,4,4,4,36,36,6,6,6,6,2,2,2,2,2,2,2,2,4,60,18,4,2,2,2,4,2,6,6,4,2,2,
12,4,4,4,4,4,4,4,4,4,4,30,24,12,2,2,4,4,4,4,4,2,2,2,2,12,12,20,12,12,6,4,4,6,6
,2,2,2,2,2,2,2,12,6,6,2,2,2,4,2,2,2,4,6,6,4,2,12,12,12,4,4,6,4,4,4,2,2,2,2,2,2
,12,2,2,2,6,6,2,2,12,4,4,4,4,2,2,6,2,2,4,6,2,2,2],[540540,11844,180,876,15120,
504,1512,756,12,32,316,36,84,24,8,108,4,672,72,52,12,70,2016,504,144,24,192,48
,24,32,36,24,8,8,12,36,12,36,36,4,4,4,4,252,12,36,12,12,12,12,4,12,4,4,4,52,
152,12,12,12,4,12,48,24,16,8,8,504,70,6,14,6,14,1512,72,12,72,16,8,72,48,24,8,
24,192,16,48,16,10,4,12,12,8,4,4,4,12,32,12,4,8,8,4,8,4,4,4,12,12,4,4,4,4,4,12
,12,4,4,4,4,4,12,36,8,8,8,12,4,4,12,16,24,12,12,4,8,4,504,24,24,30,2,6,2,2,2,6
,6,2,6,6,6,2,14,2,2,2,6,2,2,2,2,252,72,36,12,8,4,72,8,8,8,32,24,8,4,8,8,48,8,
16,8,16,8,10,4,2,6,4,6,4,2,4,12,4,4,4,4,4,12,8,4,12,4,8,4,4,4,4,8,4,4,8,4,4,4,
4,12,4,4,4,72,24,24,6,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,2,14,6,6,2,2,2,2,2,2,2,6,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,12,8,4,12,12,12,4,12,4,8,32,8,12,8,8,
16,8,8,8,8,8,10,2,2,2,2,2,6,2,6,2,4,2,2,2,2,2,2,4,4,4,8,4,4,4,4,4,72,8,24,8,6,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,12,4,4,12,4,4,4,4,4,8,4,12,4,8,4,8,2,2,2,2,2,2
,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,4,12,8,8,8,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,8,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,12,4,4,8,2,2,2,2,2,2,2,2,2,2,4,2,2,4,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2],[540540,19908,
180,492,26460,1260,4536,2520,60,72,284,36,84,24,8,72,4,952,48,84,12,420,4620,
1260,60,84,12,492,60,12,72,180,24,8,8,60,36,12,36,24,4,4,4,4,840,60,24,8,8,12,
12,4,60,4,4,4,84,112,12,12,12,4,8,32,24,16,8,8,1260,420,12,8,12,8,4536,270,60,
270,18,18,20,6,450,36,24,12,40,6,6,2,30,10,12,312,16,4,4,12,28,12,4,30,60,12,8
,4,4,4,60,72,8,4,8,8,4,8,4,4,4,60,60,4,4,4,4,4,8,12,4,4,4,4,4,8,24,8,8,8,12,4,
4,12,16,16,8,12,4,8,4,1260,12,60,12,12,90,8,6,4,6,4,2,12,4,4,6,8,2,2,4,2,4,2,
840,270,24,60,6,4,270,6,2,2,6,6,6,6,72,24,6,4,6,6,6,6,2,2,2,18,18,6,12,6,10,6,
6,2,2,12,8,8,28,4,4,2,10,4,6,6,2,2,4,16,6,6,12,10,2,8,30,2,2,4,60,4,4,4,4,4,12
,8,4,12,4,8,4,4,4,4,8,4,4,8,4,4,4,4,8,4,4,4,270,60,12,4,12,4,12,4,4,2,6,2,2,2,
2,4,8,6,6,2,4,4,4,2,2,2,4,2,4,2,4,4,2,2,60,8,4,60,60,12,4,8,4,6,72,8,2,6,2,2,6
,8,8,2,6,2,2,2,2,2,2,6,6,6,2,2,12,6,2,4,2,6,2,2,2,6,4,2,4,2,2,2,8,6,6,10,2,2,2
,2,6,420,30,2,6,2,2,2,2,4,4,4,8,4,4,4,4,4,270,6,6,6,6,6,12,4,6,4,4,4,2,6,2,2,2
,4,2,2,2,2,2,2,2,4,2,2,2,2,4,60,4,4,60,4,4,4,4,4,8,4,8,4,2,2,6,2,2,8,4,2,4,2,2
,2,2,2,2,2,2,6,90,6,12,8,6,2,2,2,2,2,4,60,6,6,2,2,2,6,6,6,2,2,2,4,2,2,2,4,2,2,
2,30,4,4,8,4,4,4,4,4,2,6,4,2,8,4,6,6,2,2,6,2,4,2,2,2,2,2,2,60,4,4,2,2,6,2,2,2,
2,2,30,2,2,4,2,6,2,2,2,4,2,2,4,2,2,2,2,2,2,4,4,2,6,2,2,2,2,4,2,2,2,2,2,2,4,6,2
,2,2,2,2,2,2,2],[540540,11844,660,972,15120,504,1512,756,84,80,316,36,116,120,
40,108,28,252,36,36,12,70,2016,504,24,144,24,24,192,48,24,24,24,84,32,36,24,8,
24,36,36,12,36,36,28,28,12,12,12,252,12,36,12,12,36,12,12,4,36,12,12,12,12,12,
36,12,36,12,36,12,12,12,12,12,4,12,12,504,70,22,14,22,14,1512,72,12,72,16,8,8,
72,24,48,24,8,8,24,8,8,24,72,8,10,4,12,28,12,8,4,12,4,12,12,12,4,4,4,4,4,4,4,
36,12,36,12,12,12,12,12,12,12,4,4,4,4,4,12,12,12,12,12,12,36,12,12,12,12,12,12
,4,12,12,504,24,24,24,24,2,14,6,6,10,22,6,6,2,14,10,10,14,6,6,2,6,2,252,72,36,
12,12,8,4,4,72,8,8,8,32,24,12,8,4,4,8,8,8,8,10,4,2,4,4,6,4,4,6,4,2,4,4,36,12,
12,12,12,12,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,12,4,12,4,4,4,12,72,24,24,8,24,8,
14,6,2,6,2,14,6,6,6,14,2,10,2,2,6,6,6,6,6,6,2,6,6,2,6,6,2,2,6,6,6,2,2,6,6,6,2,
2,6,2,2,2,2,6,6,6,4,12,8,4,4,12,12,12,4,12,12,4,4,4,4,4,8,12,4,8,2,2,2,2,6,4,4
,4,2,4,2,2,4,2,4,2,2,4,2,12,4,4,4,4,4,12,4,4,4,4,72,8,8,8,14,6,2,6,2,2,2,6,6,2
,6,6,2,6,6,6,2,6,6,2,2,6,6,2,2,2,2,2,2,6,2,2,2,2,6,6,6,6,6,6,6,6,2,2,2,2,6,6,4
,4,4,4,4,12,12,4,4,4,12,4,12,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,4,2,2,2,2,4,12,8,2,6,2,2,2,2,2,2,6,2,6,2,2,2,2,2,2,2,2,2,2,2,6,6,2,2,2,6,6,2,
4,4,4,4,4,12,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,4,12,4,4,6
,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,4,4,4,4,2,2,2,
2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2],[540540,27972,180,1452,26460,1260,
4536,6132,60,232,1452,180,180,24,24,420,60,4,1092,60,60,4,420,5796,1260,60,264
,36,1152,84,36,232,1452,24,24,24,24,24,60,180,180,180,420,4,4,4,4,60,1092,232,
60,60,60,24,24,24,60,12,12,4,4,4,4,4,60,232,4,4,4,4,12,60,24,24,1260,420,12,32
,12,32,4536,270,60,270,264,60,12,84,6,10,1152,60,60,60,264,42,6,6,84,84,36,10,
12,270,10,6,42,30,60,420,60,180,180,24,24,24,4,4,4,60,60,12,12,12,4,4,4,4,4,4,
4,4,60,232,12,12,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,60,60,60,24,24,24,24,24
,24,24,24,12,60,4,4,4,24,24,12,12,4,4,1260,36,180,12,36,120,6,12,2,6,12,12,2,
12,12,12,6,32,2,2,12,2,2,1092,270,60,60,10,4,270,6,6,6,6,42,10,10,10,10,232,24
,10,4,84,10,60,6,42,6,6,6,6,6,6,6,264,60,60,60,60,60,84,84,10,10,12,42,6,6,6,
10,6,6,6,42,10,42,6,6,6,10,10,6,10,6,30,2,6,6,2,180,4,24,60,12,12,4,4,4,4,4,4,
4,4,4,4,4,24,4,4,4,12,60,4,4,4,4,4,4,4,4,24,24,24,24,24,12,4,4,4,4,4,4,4,4,12,
12,4,4,4,4,4,4,12,4,4,4,270,180,12,12,36,12,36,12,36,12,12,2,6,2,2,2,2,12,12,
12,12,6,32,12,12,2,2,2,2,2,12,2,2,2,2,2,2,2,2,2,2,2,2,60,60,6,24,4,60,60,6,232
,24,24,60,12,4,4,10,6,60,4,60,60,60,84,10,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,
42,10,10,10,6,10,10,6,6,6,6,6,6,6,6,6,10,6,6,6,10,6,6,6,10,420,30,2,6,6,6,2,2,
2,2,4,24,4,4,4,4,12,4,4,4,4,4,4,4,4,270,10,12,42,6,42,6,36,12,12,10,12,12,2,6,
2,2,2,2,2,2,2,2,2,2,2,12,12,12,2,2,2,2,2,2,2,2,2,2,2,60,4,24,4,60,12,4,4,4,4,
60,6,12,60,24,24,4,4,6,4,4,12,4,6,6,6,12,4,6,6,12,4,4,6,6,6,6,6,6,6,10,120,12,
12,32,6,2,2,2,2,6,2,2,2,2,4,60,6,42,6,6,6,10,12,10,6,6,10,6,10,12,2,2,2,2,2,2,
2,2,2,2,30,24,4,4,4,4,12,4,4,4,6,4,4,4,6,12,12,2,6,2,32,12,12,2,12,2,6,2,2,2,2
,2,2,2,2,2,60,4,4,6,12,6,6,6,6,6,10,2,30,2,6,6,2,4,12,2,6,2,2,2,2,2,2,2,12,12,
12,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,4,4,6,4,6,6,2,2,2,2,12,2,2,2,2,2,2,2,2,2,2,2
,4,6,2,2,2,2,2,2,2,2,2,2,2,2],[540540,16884,420,1388,18900,63,54,6048,2604,180
,336,812,132,228,64,48,284,84,12,672,72,60,4,420,2100,21,140,33,168,9,18,5,6,6
,480,92,11,18,15,3,2,336,524,64,40,48,48,40,180,132,84,132,188,12,12,12,12,84,
672,132,72,48,48,28,28,20,60,24,12,4,4,4,8,4,60,132,4,4,4,8,24,48,28,20,18,420
,28,24,28,24,3780,21,6,9,3,270,60,9,56,9,44,18,18,5,2,3,1,300,92,68,44,11,96,
54,18,18,15,5,56,32,3,1,9,3,3,3,3,5,18,6,2,6,3,2,90,9,6,1,6,18,3,3,3,180,140,
84,60,84,48,40,40,12,12,12,60,60,12,12,12,4,4,4,4,4,4,4,4,60,132,12,24,24,24,4
,4,4,4,8,8,8,8,8,4,4,8,4,4,8,8,36,48,36,28,20,20,20,20,16,16,20,24,36,4,8,8,16
,20,12,12,4,4,18,6,2,6,6,6,6,2,2,6,2,60,6,16,2,18,12,4,6,28,12,12,18,24,6,6,4,
2,2,420,21,11,48,5,3,6,9,3,2,2,1,1,90,6,6,6,6,18,9,3,6,6,6,6,3,1,1,1,1,1,120,
11,28,3,5,2,2,1,1,20,18,32,18,1,3,54,18,18,18,18,18,18,18,60,56,32,44,20,32,9,
3,3,3,3,3,1,1,1,20,32,18,18,3,5,2,18,6,6,6,3,3,6,1,1,6,6,6,18,3,1,3,6,1,18,6,6
,6,3,1,3,6,1,6,6,1,6,6,1,3,1,3,1,3,1,1,60,12,40,60,12,12,4,4,4,4,4,4,4,4,4,4,4
,16,8,4,4,24,36,4,4,8,8,8,8,8,8,16,16,16,16,20,12,4,4,4,4,4,4,4,4,12,12,4,4,4,
4,4,4,12,4,4,4,6,9,6,6,2,2,2,2,6,2,2,2,2,6,2,2,2,6,2,2,2,6,2,2,2,4,6,18,6,6,6,
6,12,4,4,4,6,12,16,8,2,2,2,6,6,8,2,2,2,2,2,2,2,2,2,2,2,2,90,3,12,12,3,3,5,6,2,
1,3,20,18,60,11,16,8,3,3,3,3,3,24,3,5,5,5,18,1,1,1,1,6,2,2,2,2,30,3,2,1,20,32,
20,20,18,18,18,18,18,1,3,6,6,3,1,6,6,6,6,6,6,6,6,6,6,6,18,3,3,1,1,1,1,1,6,6,6,
1,6,6,6,6,6,6,6,6,6,1,1,6,6,6,6,1,6,6,6,6,1,6,6,6,6,1,420,3,1,1,3,1,3,1,1,1,1,
1,1,4,16,8,4,4,4,12,4,4,4,4,4,4,4,4,6,9,2,2,1,2,6,2,3,3,2,6,2,3,3,2,6,2,2,2,2,
2,2,2,2,2,1,2,2,4,6,6,2,2,2,2,2,2,2,2,2,2,6,4,4,8,6,2,6,2,2,2,2,2,2,2,2,3,1,4,
6,1,3,30,6,3,3,2,2,2,2,1,1,1,1,1,1,20,18,3,18,12,4,8,1,1,1,1,5,3,3,3,3,3,6,6,2
,1,2,1,3,6,2,1,1,1,6,6,6,6,3,1,1,1,2,6,6,3,6,1,1,1,2,2,1,6,6,6,6,6,6,6,6,1,60,
16,28,24,1,1,1,1,1,1,1,3,1,1,1,1,1,1,4,3,2,6,2,2,2,2,2,2,3,1,3,2,2,2,1,2,2,2,2
,2,1,2,2,2,2,1,2,2,2,2,1,4,6,2,2,2,2,2,2,2,2,2,3,4,6,3,1,1,2,1,2,1,6,3,1,1,1,1
,1,1,1,2,2,2,6,2,1,2,2,1,1,18,12,4,6,6,2,12,16,8,6,8,6,1,1,2,1,1,1,1,1,1,1,1,1
,1,3,1,1,2,3,3,1,1,2,2,2,2,2,2,2,2,2,2,1,2,3,1,3,1,3,1,1,2,1,4,6,6,2,2,2,2,2,2
,6,4,8,4,6,6,2,2,2,2,2,1,2,2,1,1,1,1,1,1,3,1,1,1,1,2,1,1,1,3,1,1,1,1,1,1,4,6,2
,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[540540,7812,180,1452,
26460,1260,4536,252,60,232,332,84,84,24,24,156,60,4,112,72,20,12,420,756,60,
288,48,672,84,12,192,12,24,24,24,16,16,60,36,20,36,36,4,4,4,4,44,42,22,66,18,
10,6,6,14,14,12,8,6,4,4,4,20,12,12,4,4,8,16,8,12,12,8,8,1260,420,12,32,12,32,
4536,270,60,270,72,12,20,6,10,12,12,36,28,56,50,6,6,24,40,12,14,4,30,18,18,22,
8,4,30,60,36,12,16,16,12,4,4,4,10,4,6,8,8,2,2,4,10,4,2,4,6,4,6,2,12,6,14,6,8,4
,2,6,2,6,6,6,4,4,2,2,2,6,6,6,2,2,10,2,2,2,6,4,4,4,8,4,8,4,4,8,4,4,2,4,2,48,90,
18,12,2,12,6,6,12,12,2,12,12,12,6,32,2,2,12,2,2,42,66,16,8,4,4,4,12,4,16,4,2,6
,192,24,6,4,12,6,2,30,6,6,6,2,2,2,2,24,12,12,4,12,4,10,6,12,12,4,4,2,6,6,6,2,4
,2,8,8,4,2,8,8,4,2,2,8,8,6,4,2,30,2,6,6,2,4,12,6,8,2,2,2,4,4,4,4,4,2,6,4,4,2,2
,2,6,2,2,2,2,6,4,2,4,4,2,2,4,4,2,2,6,6,2,2,2,2,4,4,270,8,12,4,12,4,6,2,2,6,4,
12,2,6,2,2,2,2,12,12,12,12,2,4,6,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,60,36,16,
4,60,2,6,10,6,14,6,4,2,6,10,10,12,4,2,2,2,8,4,2,4,4,4,2,2,4,2,2,2,2,2,2,4,2,2,
2,2,2,2,6,2,2,2,2,2,2,4,2,4,2,4,2,2,2,2,8,2,2,2,4,2,4,6,4,420,4,6,2,6,2,2,2,2,
2,2,4,2,4,2,2,2,4,4,2,2,2,2,16,12,12,30,6,2,2,6,6,2,4,2,2,12,2,4,2,2,2,4,2,2,2
,2,2,2,4,2,2,2,2,2,2,2,8,12,4,6,8,2,4,6,2,6,2,4,4,4,2,2,2,4,2,6,2,4,2,2,6,4,2,
2,2,2,2,2,2,2,2,2,2,2,12,12,32,6,2,2,2,2,2,2,2,2,60,4,4,2,2,2,2,4,2,2,6,2,4,2,
2,2,4,2,2,2,2,2,30,2,2,4,2,2,2,4,2,4,2,4,2,4,2,6,12,12,2,2,6,4,2,2,4,2,2,2,2,2
,2,2,2,8,4,6,2,2,2,2,2,4,2,2,2,4,6,2,2,2,12,2,4,2,2,2,2,2,2,2,2,4,2,2,2,4,2,2,
2,6,2,2,2,2,4,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2],[540540,5292,780,412,18900,252,
216,5292,144,132,132,36,124,124,36,72,48,4,4,420,420,260,36,180,52,4,36,12,4,
14,132,124,36,36,132,36,36,48,36,36,14,48,36,36,36,14,4,2,4,4,4,4,2,2,2,2,2,2,
4,4,2,2,2,72,420,52,12,52,12,3780,36,6,72,30,18,180,36,24,12,12,4,4,52,36,12,
12,12,36,12,24,4,4,12,132,14,48,36,36,36,36,36,36,36,36,14,2,2,2,2,2,2,2,2,2,2
,4,2,2,2,2,4,2,2,2,2,4,2,2,2,2,4,2,2,2,12,8,4,12,24,12,12,52,12,12,12,12,12,12
,24,4,4,2,2,4,60,52,2,12,2,6,4,2,2,14,12,12,4,12,36,12,12,12,12,14,24,12,12,12
,4,2,4,2,4,2,2,2,12,4,4,14,36,36,36,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,36
,18,6,4,14,12,12,12,24,12,12,12,14,12,12,12,12,12,2,2,4,2,4,2,4,2,2,2,4,60,24,
6,12,12,12,2,2,6,30,18,18,12,14,12,12,12,12,4,4,2,2,2,2,2,2,2,2,2,2,2,420,6,6,
4,36,2,2,2,2,2,2,6,6,2,4,2,14,12,12,12,12,12,2,2,2,2,2,2,2,2,4,2,2,2,14,2,12,
12,2,2,2,2,12,6,2,2,2,2,4,2,2,2,2,2,52,12,6,2,6,2,2,12,6,6,2,12,2,2,2,2,2,2,12
,12,18,6,2,2,2,2,2,12,24,12,12,6,4,2,2,6,2,2,2,4,2,2,2,14,12,12,2,6,4,2,2,2,6,
2,6,6,12,2,2,2,2,2,2,6,2],[540540,7560,500,1890,630,54,7560,210,260,180,180,14
,6,210,14,100,10,210,60,6,90,50,20,54,18,2,140,180,20,180,6,6,210,20,14,6,6,
100,60,6,2,20,20,20,60,6,6,2,18,2,210,6,20,2,90,54,6,18,26,14,18,6,18,2,2,20,6
,2,6,6,6,14,6,10,2,2,10,180,2,6,20,20,60,2,2,2,20,20,60,2,6,6,6,2,6,2,20,6,2,2
,2,2,2,2,6,6,6,18,2,2,210,20,20,20,6,6,2,20,20,6,6,2,2,14,2,18,6,18,6,6,2,20,2
,6,14,6,6,10,2,2,6,6,2,2,2,2,2,2,2,6,6,6,2,2,20,60,20,2,2,20,20,2,6,2,2,2,2,2,
2,2,2,6,2,18,2,6,2,6,6,2,6,2,6,6,2,2,2,18,6,20,6,6,2,2,20,2,6,2,2,2,2,2,2,6,6,
6,2,6,2,2,6,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,20,2,2,2,2,2,2,6,6,2,2,2,6,2,2,6,2,6
,2,2,2,2,2,2,20,2,2,2,6,2,2,2,6,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,6,
6,2,2,2,2,2,2,2,2,2,2,20,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2],[540540,6300,732,380,1890,630,54,840,140,40,140,12,60,48,16,
32,28,48,20,4,10,210,122,6,36,4,12,30,26,50,18,42,6,2,140,140,8,20,12,12,12,32
,28,28,4,4,4,16,20,24,20,4,4,8,4,4,4,4,20,4,20,20,4,4,4,4,8,8,4,4,18,10,2,2,
210,6,20,2,6,14,2,18,2,4,14,2,6,30,26,2,2,6,12,4,2,2,14,6,2,4,2,6,6,4,2,6,2,12
,2,10,32,28,12,12,4,8,8,4,4,20,20,8,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,20,4,4,4,4,4
,4,4,4,4,12,6,6,4,2,6,2,2,4,12,4,4,2,4,6,2,2,2,2,2,2,2,2,50,20,6,14,2,2,4,4,2,
14,2,2,2,6,4,6,2,2,2,2,2,14,14,2,2,2,2,2,2,20,2,4,2,2,2,4,2,2,2,2,12,2,2,2,2,2
,2,2,2,2,2,2,2,2,10,2,12,20,4,4,4,8,4,4,4,8,4,4,4,4,4,4,4,6,2,4,2,2,6,2,2,6,2,
2,6,2,6,6,14,2,4,2,4,2,2,2,2,2,2,2,14,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,8,4,4,4,4,4,4,6,2,2,2,2,
2,2,2,2,6,2,2,2,2,2,2,2,20,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,4,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,2,4,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2],[540540,9828,180,972,26460,1260,
4536,840,60,152,204,84,84,24,24,120,48,4,252,84,4,12,420,1260,60,180,24,612,
108,36,112,60,24,24,24,16,16,60,36,20,36,24,4,4,4,4,32,210,30,66,10,18,6,6,14,
14,4,8,6,4,4,4,4,12,12,4,4,8,20,12,12,12,8,8,1260,420,12,8,12,8,4536,270,60,
270,102,30,12,36,12,14,90,36,24,28,24,38,6,10,30,18,12,16,12,20,4,4,12,36,4,30
,60,24,12,16,16,12,4,4,4,2,12,2,8,8,2,2,4,10,4,2,4,6,4,6,10,4,6,14,6,8,4,2,6,2
,6,6,6,4,4,2,2,6,6,2,6,2,2,10,2,2,2,6,4,4,4,12,4,8,4,4,8,4,4,6,4,2,24,90,18,36
,30,18,4,6,4,2,12,4,4,6,8,2,2,4,2,4,2,210,66,12,8,8,2,8,4,12,6,2,4,6,4,112,24,
10,4,24,10,6,8,18,6,12,10,6,6,8,8,6,18,6,12,10,6,12,8,24,12,4,6,2,4,4,4,4,4,2,
2,12,4,2,2,4,4,4,2,10,4,6,2,30,2,2,4,12,2,8,2,2,2,4,4,4,4,4,2,6,4,4,2,2,2,6,2,
2,2,2,6,4,2,4,4,2,2,4,4,2,2,6,6,6,2,2,2,4,4,270,4,4,12,12,18,2,6,6,4,2,6,2,2,2
,2,4,2,6,6,4,4,4,2,2,2,4,2,4,2,4,4,2,2,60,24,6,16,4,60,6,10,6,10,6,14,6,4,6,2,
10,2,6,6,6,6,8,6,12,4,4,4,2,2,2,4,2,2,2,4,4,8,2,2,2,4,4,2,4,6,2,2,4,2,2,4,2,2,
2,4,2,2,4,2,2,2,2,2,2,6,2,420,4,6,6,2,2,2,2,2,4,2,4,2,2,2,4,4,2,2,2,2,12,24,12
,18,6,2,10,6,2,6,4,2,2,2,4,2,4,2,2,2,2,2,2,4,2,2,2,2,2,4,8,12,4,2,8,2,4,2,6,6,
2,6,2,4,4,4,2,2,6,2,4,6,2,2,2,2,2,6,2,2,2,2,2,2,4,2,2,4,30,18,12,8,6,2,2,2,2,2
,2,60,6,4,2,4,2,2,4,6,6,6,2,2,2,2,2,4,2,2,2,30,2,2,4,2,2,2,4,2,4,2,2,4,2,4,6,4
,2,4,2,6,6,4,2,4,4,4,2,2,2,2,2,2,8,4,6,6,2,2,4,2,2,2,2,2,4,6,2,2,2,2,4,2,4,2,2
,2,4,2,2,2,2,4,2,2,2,4,2,2,2,6,2,2,2,2,4,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2],[
540540,2520,240,980,1890,630,54,210,140,100,20,48,48,8,24,38,18,8,210,30,20,16
,10,40,90,36,18,18,16,6,6,30,26,20,18,6,12,2,140,20,16,4,4,20,12,2,8,4,6,30,12
,16,20,6,2,6,20,8,8,6,8,2,20,20,20,4,2,6,12,4,8,6,18,2,210,6,20,2,6,14,2,2,4,2
,2,2,12,8,6,2,6,6,4,4,2,6,4,4,2,2,6,2,6,2,2,30,6,2,8,12,2,6,10,2,2,4,2,2,4,4,2
,4,4,20,20,6,6,2,4,2,2,2,6,4,2,2,4,8,20,2,2,6,2,6,6,6,18,6,2,4,4,6,2,2,30,16,6
,6,2,4,4,2,2,2,2,2,2,6,2,4,2,2,4,2,4,20,20,12,2,2,2,2,14,2,2,2,4,2,2,4,4,2,2,2
,2,2,20,2,4,2,2,2,2,12,2,6,4,2,2,2,2,2,4,2,2,2,2,2,2,20,2,4,4,2,2,4,4,2,2,6,6,
2,2,2,6,6,6,2,4,2,2,6,2,2,2,2,2,6,6,2,2,2,2,4,4,2,2,2,6,2,4,2,2,2,2,2,2,2,2,2,
4,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,4,6,2,
2,2,2,6,2,2,2,2,2,4,4,6,2,2,2,2,2,2,2,2,2,2,20,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,6,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[540540,23940,180,
1260,37800,315,12096,4116,180,360,940,84,116,48,32,252,72,12,1372,84,60,4,2520
,5040,315,45,216,9,15,840,72,45,15,9,360,780,48,24,32,32,24,180,84,68,84,204,
12,12,12,12,72,1372,220,84,60,60,28,28,20,60,24,12,4,4,4,8,4,60,220,4,4,4,8,24
,60,28,20,315,2520,60,60,11340,315,180,120,9,3,40,12,9,5,3,720,45,152,48,9,9,
48,32,3,3,5,9,5,5,9,15,12,3,60,3,4,1,16,1,3,180,180,72,60,68,32,24,24,12,12,12
,60,60,12,12,12,4,4,4,4,4,4,4,4,60,220,12,24,24,24,4,4,4,4,8,8,8,8,8,4,4,8,4,4
,8,8,48,60,48,28,20,20,20,20,16,16,20,24,48,4,8,8,16,20,12,12,4,4,315,15,45,45
,9,9,15,270,12,18,36,6,36,60,6,2,2,1260,315,45,72,15,9,60,16,3,3,4,4,4,4,1,1,1
,1,1,1,240,45,36,9,15,24,12,3,3,48,120,3,3,5,3,9,3,3,3,3,24,32,12,12,3,9,16,1,
3,4,1,1,16,1,1,3,4,1,16,1,1,3,4,1,4,1,4,1,60,12,24,60,12,12,4,4,4,4,4,4,4,4,4,
4,4,16,8,4,4,24,48,4,4,8,8,8,8,8,8,16,16,16,16,20,12,4,4,4,4,4,4,4,4,12,12,4,4
,4,4,4,4,12,4,4,4,315,15,1,45,45,9,5,9,5,9,9,3,3,9,3,15,9,3,9,9,5,3,3,5,3,3,1,
1,36,6,12,36,6,10,2,2,2,2,2,90,9,36,20,3,5,9,6,3,180,45,24,16,9,5,5,5,3,48,9,
15,9,9,18,3,3,6,30,3,2,1,24,12,3,3,6,3,1,16,3,1,1,1,1,1,1,4,4,4,1,4,4,1,1,4,1,
4,1,4,1,2520,315,4,16,8,4,4,4,12,4,4,4,4,4,4,4,4,45,9,5,5,9,3,1,1,9,3,9,15,1,3
,3,3,9,9,3,3,5,3,5,3,3,3,3,3,1,1,3,3,1,1,3,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,12,
2,6,6,2,2,2,12,6,3,3,30,6,3,3,2,2,2,2,1,1,1,1,1,1,9,18,36,12,16,3,3,3,3,9,3,3,
3,3,5,6,6,2,1,3,6,2,1,1,1,6,3,1,1,1,2,3,6,1,1,1,2,2,1,4,1,270,45,18,9,60,15,4,
9,3,3,3,3,3,3,3,3,1,1,1,1,3,3,1,1,9,3,1,1,3,3,3,3,5,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,2,12,6,3,3,2,1,2,1,6,3,1,1,1,1,1,1,1,2,2,2,2,1,2,2,1,1,36,9,6,3,12,3,
36,9,6,10,5,3,2,1,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,315,2,1,12,3,2,1,6,6,3,3,2,1,2
,1,2,1,1,45,9,15,2,1,9,3,9,3,5,3,1,3,3,3,1,1,1,1,1],[514800,720,720,240,1260,
18,720,120,48,48,72,24,6,6,60,18,36,36,90,120,48,24,24,24,24,18,9,30,18,36,12,
12,6,6,6,18,6,24,24,24,6,6,18,3,3,9,90,30,6,6,12,6,9,6,6,6,24,18,6,6,9,3,3,6,
18,6,6,6,6,9,3,3,15,6,6,3,6,6,6,6,9,3,3,3,15,6,3,3,3,3,3,3,3,3,3,3],[514800,
720,720,240,234,720,120,48,48,72,24,6,6,18,12,90,120,48,24,24,24,24,72,3,3,18,
6,9,18,6,6,6,18,6,24,24,24,6,3,3,3,9,6,6,3,6,3,6,6,6,24,18,3,3,3,3,3,3,3,15,6,
6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3],[514800,720,720,240,234,720,120,48,48,72,24,6
,6,18,12,90,120,48,24,24,24,24,72,3,3,18,6,9,18,6,6,6,18,6,24,24,24,6,3,3,3,9,
6,6,3,6,3,6,6,6,24,18,3,3,3,3,3,3,3,15,6,6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3],[
514800,720,720,240,7200,72,18,720,120,48,48,72,24,6,6,96,18,90,120,48,24,24,24
,24,18,3,3,720,18,18,48,6,6,6,18,6,24,24,24,6,3,3,3,18,48,48,6,3,6,6,6,24,18,3
,3,3,3,6,24,3,15,6,6,3,6,24,3,3,6,6,3,3,3,3,3,3,3,3],[514800,7200,720,3600,450
,36,72,5040,140,120,240,36,200,72,16,240,170,72,18,12,12,120,42,20,120,12,140,
36,12,12,16,12,24,8,30,24,12,18,6,140,30,9,8,6,2,120,8,6,2,24,24,8,6,18,2,8,6,
8,14,4,8,4,12,12,4,8,4,30,6,4,6,2,4,8,12,8,6,20,2,2,2,2,140,10,12,2,4,3,2,2,8,
4,2,2,12,6,24,6,4,2,8,2,4,6,4,2,6,4,4,30,6,2,3,6,3,8,3,2,2,2,4,4,6,2,6,6,2,2,2
,4,2,2,12,2,4,2,6,4,4,2,6,2,2,2,2,2,2,2,4,1,2,1,1,2,2,2,6,2,8,2,1,1,4,2,3,3,6,
6,2,2,2,2,2,2,2,4,4,2,6,3,2,2,2,2,2,2,6,2,4,1,2,1,2,2,2,2,2,10,2,3,2,2,1,2,1,2
,2,2,2,2,3,2,2,1,2,1,1,1,2,2,2,1,1,1,1,1,1],[480480,12096,1440,36960,1428,24,
96,10080,280,240,480,72,280,72,2240,2464,308,432,132,48,24,720,36,240,24,280,
72,24,24,24,1428,96,96,24,24,24,24,24,2240,96,96,10080,280,240,16,12,4,240,16,
12,4,144,48,16,12,36,4,16,4,16,4,80,8,24,308,132,24,24,24,24,24,48,48,160,32,
16,8,36,96,280,280,72,24,16,8,4,4,16,8,4,4,240,24,48,12,8,4,16,4,8,4,8,4,96,24
,24,24,80,8,24,8,24,8,280,24,240,16,12,12,12,4,4,4,48,8,16,12,4,36,12,4,4,4,8,
24,24,8,4,32,8,48,24,24,24,16,8,2240,280,24,8,16,8,4,4,4,4,4,4,12,4,16,16,4,4,
48,12,8,4,24,4,4,4,4,4,24,8,8,8,16,4,12,4,16,8,8,4,96,24,8,8,4,4,4,24,8,80,16,
8,4,8,12,4,4,4,4,4,8,4,8,4,4,280,24,8,8,4,4,4,8,4,4,24,16,4,8,4,8,4,4,4],[
480480,10080,160,160,36960,1428,24,96,10080,280,32,32,24,280,24,2240,2240,280,
10,32,10,8,4,240,64,10,12,10,4,4,32,8,280,24,8,8,8,1428,96,96,24,24,24,24,24,
2240,10080,280,240,16,12,4,240,16,12,4,6,2,2,6,16,2,2,8,6,16,4,6,80,8,8,280,8,
4,10,80,10,8,8,8,16,8,4,4,4,4,4,4,4,4,2,2,2,2,12,4,4,16,280,280,24,8,6,2,6,2,
32,8,2,2,2,2,2,2,16,4,6,2,2,2,2,2,96,24,24,24,80,8,280,240,16,12,12,12,4,4,4,8
,8,4,2,12,4,6,2,2,4,2,6,4,8,8,8,2,2,16,8,4,4,4,2,2,8,4,4,2,2,4,4,2240,280,4,4,
6,2,8,16,16,4,6,6,4,2,2,2,2,2,2,2,2,6,2,2,2,4,2,2,24,8,2,2,16,4,12,4,4,2,2,2,
16,8,2,2,2,2,2,4,4,2,80,16,8,4,4,2,6,2,4,4,2,2,2,2,2,4,280,4,2,4,2,2,2,8,4,2,8
,16,4,4,2,2,2,4,2],[480480,20160,160,36960,1428,24,96,10080,2800,80,160,1120,
2240,5040,840,40,8,8,840,16,40,60,4,80,160,1120,80,80,1428,96,96,24,24,24,24,
24,2240,10080,280,240,16,12,4,240,88,12,4,16,8,600,40,8,8,120,40,4,80,8,80,840
,8,40,210,2,8,8,48,24,4,4,12,2,2,2,2,60,4,240,1120,280,120,40,8,120,8,80,40,8,
4,16,8,8,8,40,4,8,8,8,8,96,24,24,24,80,8,280,240,16,12,12,12,4,4,4,120,40,8,12
,4,30,2,2,4,6,4,8,80,40,8,8,48,8,12,2,2,24,4,12,2,2,2240,280,40,12,120,8,40,40
,16,4,4,2,4,6,8,8,2,2,8,4,6,2,2,2,4,2,2,24,8,24,8,16,4,12,4,12,4,2,240,40,8,8,
8,4,2,12,2,80,16,8,4,4,8,6,2,4,4,4,2,2,6,2,4,280,40,8,12,4,2,2,8,4,2,40,16,4,4
,2,8,4,4,2],[463320,9072,168,1512,9072,504,120,72,72,504,72,60,504,72,24,144,
96,72,24,72,504,24,72,48,24,24,24,48,28,12,504,216,48,24,12,72,24,24,48,24,24,
48,24,12,20,12,4,12,12,4,144,504,72,24,24,48,24,24,24,12,4,4,24,48,24,24,24,4,
16,4,12,12,4,4,4,8,12,4,4,8,36,24,24,12,4,6,8,4,24,12,4,4,8,4,4,8,4,36,12,24,
12,4,4,4,4,4,4,8,2,4,4,8,4,4,4,72,24,12,24,12,6,4,4,2,4,6,2,4,2,4,2,2,4,2,12,2
],[450450,24570,90,1170,18900,1260,144,1890,5670,30,210,1170,90,90,18,18,6,270
,54,6,630,54,30,6,5040,1260,216,36,1260,36,36,210,1170,18,18,18,18,18,30,6,6,6
,6,90,90,90,270,6,6,6,6,54,630,210,54,54,54,18,18,18,30,18,18,6,6,6,6,6,6,6,30
,210,6,6,6,6,18,54,18,18,6,6,1260,144,144,1890,180,30,36,12,6,180,216,36,12,36
,12,1260,216,72,36,36,36,36,12,180,12,72,12,30,270,54,6,6,6,6,6,90,90,18,18,18
,6,6,6,30,30,18,18,18,6,6,6,6,6,6,6,6,6,6,6,6,30,210,18,18,18,18,6,6,6,6,6,6,6
,6,6,6,6,6,6,6,6,6,54,54,54,18,18,18,18,18,18,18,18,6,6,6,6,6,6,6,6,6,18,54,6,
6,6,6,6,6,18,18,18,18,6,6,6,6,1260,36,360,144,36,630,180,54,30,12,6,180,72,12,
12,12,12,12,210,18,12,6,36,12,12,72,216,36,36,36,12,12,72,12,12,72,12,72,12,12
,12,12,12,12,144,90,6,18,6,6,30,18,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6
,6,6,6,6,6,18,54,6,6,6,6,6,6,6,6,6,6,6,6,6,18,18,18,18,18,18,6,6,6,6,6,6,6,6,6
,6,6,6,6,6,6,6,6,6,6,6,18,18,6,6,6,6,6,6,6,6,18,6,6,6,180,36,36,36,12,360,36,
36,36,36,36,36,30,54,6,6,12,18,6,30,12,6,6,12,210,18,18,54,18,6,6,12,6,12,30,6
,36,12,18,6,72,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
144,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,180,12,36,72,36,12,72,36,36,36,12,36,36,30,6,18,6,6,30,18,6,6,6,
6,6,18,54,18,18,6,6,12,6,6,6,6,18,6,12,18,6,6,12,18,6,6,6,6,12,12,12,12,12,12,
12,144,36,6,6,6,6,6,6,6,6,6,30,12,12,6,12,72,12,12,36,12,12,12,12,12,12,6,6,6,
18,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,12,6,6,6,6,6,36,36,6,30,6,6,12,18,
12,6,12,12,12,12,12,12,12,6,6,6,6,6,6,6,6,6,6,12,36,6,6,18,6,6,6,6,6,6,12,6,12
,12,6,6,6,6,6,6,6,12,6,6,6],[450450,9450,330,530,18900,1260,144,1890,630,90,
130,170,18,58,82,26,42,54,18,34,210,18,30,6,1680,420,20,72,12,12,540,68,20,36,
12,8,70,90,30,34,6,10,18,6,50,18,18,26,18,18,6,18,18,14,18,26,10,18,18,14,210,
10,18,6,6,30,6,6,2,30,6,6,6,6,6,6,6,6,2,6,6,30,6,6,6,30,10,30,6,6,6,2,6,6,6,2,
6,6,6,6,6,1260,144,144,1890,180,30,36,12,6,180,72,36,36,20,28,4,4,60,20,24,24,
12,4,4,4,4,12,4,4,12,12,4,60,4,24,12,30,14,18,18,18,6,14,10,6,10,6,6,14,10,6,
14,10,10,10,2,2,2,2,2,2,2,2,2,2,30,10,30,6,6,6,6,6,6,2,2,2,2,2,6,6,2,2,2,6,6,2
,2,2,2,2,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,30,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,2,2,2,6,6,6,6,6,420,12,20,120,12,48,8,8,36,8,210,60,18,
10,10,4,2,2,60,4,4,4,4,90,34,10,12,2,6,4,4,2,28,12,12,20,4,24,4,12,4,4,4,4,4,4
,4,24,12,4,12,12,4,4,12,4,12,144,14,6,6,10,6,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10,2,2,2,2,2,2,2,2,2,6,6,6,2,6,6,6,
6,6,6,6,6,6,6,6,6,6,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6,180,36,36,
36,12,20,12,4,4,36,12,12,12,4,4,8,12,30,18,18,6,12,10,14,2,2,30,12,6,6,12,10,6
,2,6,6,10,2,2,2,2,2,2,4,2,2,2,2,4,10,2,4,4,6,6,4,4,4,4,4,12,4,12,4,4,4,12,48,8
,6,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,
2,2,2,2,2,2,60,4,12,24,12,4,4,24,4,4,12,4,4,4,12,4,4,12,4,10,10,2,2,14,2,6,6,
10,10,2,4,2,10,2,2,2,2,6,2,2,2,4,2,2,2,2,2,2,6,6,2,12,6,6,2,4,4,4,6,6,2,6,4,4,
2,2,36,8,6,2,2,2,2,2,2,2,2,2,2,30,12,12,6,12,12,4,4,4,4,4,4,4,4,4,6,10,2,2,2,2
,2,6,6,2,2,2,4,2,2,2,2,6,6,2,2,2,2,2,2,2,2,6,2,2,12,12,4,2,10,2,10,2,4,6,2,4,6
,4,2,2,4,4,4,4,4,2,2,6,2,2,2,2,2,2,2,2,2,2,2,12,4,10,2,2,2,2,6,6,6,2,2,2,2,2,2
,2,4,2,2,4,4,4,2,2,2,2,2,2,2,2,2,2,6,4,2,2,2,2,2],[450450,9450,90,450,18900,
1260,144,1890,630,30,90,170,18,42,18,10,6,54,18,6,210,90,10,18,1680,420,72,12,
540,36,36,90,30,18,6,10,10,6,30,6,6,6,6,18,6,18,18,6,6,6,6,18,210,10,18,6,6,6,
6,2,10,6,2,2,2,2,2,2,10,10,18,2,2,6,18,6,6,10,10,10,6,2,1260,144,144,1890,180,
30,36,12,6,180,72,36,12,20,12,60,24,24,12,4,12,12,4,60,20,24,4,30,18,6,6,6,6,6
,6,10,6,6,6,6,6,10,10,12,2,2,2,2,4,10,2,6,4,4,10,10,6,6,6,2,2,2,2,2,2,2,2,2,2,
2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,10,2,2,6,2,2,6,2,2,2,2,2,420,12,120,
48,36,210,60,18,10,4,2,60,4,4,4,4,90,18,12,6,12,12,12,24,12,4,4,4,24,4,4,4,12,
4,4,4,144,6,6,6,6,10,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2
,2,2,2,6,2,2,2,2,2,2,4,2,2,4,2,2,2,6,4,2,2,2,2,24,4,180,36,36,36,12,36,12,12,
12,12,30,18,6,6,12,10,6,30,12,6,6,12,10,6,2,6,6,2,2,4,2,4,10,10,4,6,2,4,8,4,4,
4,4,4,4,4,4,4,48,6,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,4,2,60,4,12,24,
12,4,24,12,4,4,12,12,10,2,6,6,6,10,2,2,2,2,6,2,2,2,4,2,6,2,2,4,4,6,2,2,2,6,4,4
,2,36,8,2,2,2,2,2,2,2,30,12,12,6,12,12,4,4,4,4,4,4,4,6,6,6,2,2,2,2,2,2,2,2,4,4
,2,2,2,2,2,12,12,2,10,2,6,4,6,4,2,4,4,4,2,2,2,2,2,12,4,6,6,6,2,6,2,2,2,2,2,4,4
,2,2,2,2,2,6,4,2,2,2],[450450,19530,330,1010,14175,630,36,1260,4200,70,140,930
,90,106,60,28,240,30,14,350,78,30,6,3255,630,55,20,159,12,30,4,6,735,47,20,30,
12,2,70,100,930,12,12,12,20,12,30,90,90,90,240,14,14,6,6,6,30,350,100,30,30,46
,30,36,12,12,30,6,6,12,4,6,6,6,6,2,30,6,30,100,30,6,6,6,6,12,30,12,20,6,6,4,
630,36,36,1260,75,10,6,1,75,159,6,7,15,6,39,3,11,4,735,23,15,15,20,159,23,15,7
,39,39,7,4,12,4,4,6,30,7,2,6,75,11,3,2,15,23,3,2,10,240,14,30,90,90,12,12,12,2
,6,2,10,10,10,12,12,4,2,2,2,2,6,2,2,6,2,2,30,100,30,4,4,4,12,6,6,6,2,6,2,2,6,2
,6,6,2,2,2,2,6,30,30,30,12,20,12,12,12,12,12,12,6,6,6,6,6,6,30,6,6,6,6,6,4,30,
6,6,2,12,12,6,6,4,4,2,2,4,2,2,4,2,4,2,630,30,4,6,6,20,150,12,6,36,6,2,2,4,4,30
,2,350,75,30,10,10,7,2,2,1,2,1,75,3,7,3,3,23,11,7,7,7,3,3,3,1,3,3,2,2,100,12,
10,7,2,2,1,7,39,7,15,3,3,23,3,3,3,3,7,3,3,159,15,15,15,15,15,7,7,3,3,3,4,6,39,
39,7,7,6,23,3,7,3,3,2,7,3,3,1,3,3,7,23,3,3,3,7,3,2,23,15,3,3,3,3,3,7,1,2,3,3,7
,3,3,3,3,7,3,3,3,3,1,1,36,90,2,12,30,6,6,6,10,10,12,4,2,2,2,2,2,2,6,6,6,2,2,2,
2,2,10,10,12,2,2,2,6,2,2,12,2,2,2,4,30,2,6,2,2,6,2,2,2,12,12,12,12,12,6,4,2,2,
2,4,2,2,6,2,6,2,2,4,4,2,2,2,2,2,2,4,2,2,2,4,2,2,2,4,2,6,2,2,2,16,75,6,6,6,1,
150,20,12,4,6,6,30,2,4,2,2,2,6,6,6,30,6,2,6,30,2,4,2,6,2,6,2,2,10,30,1,3,12,2,
2,10,1,15,1,3,100,12,12,30,4,10,2,2,2,2,2,2,7,3,1,1,10,2,1,7,15,15,15,39,7,1,1
,3,3,3,3,3,3,1,3,4,1,3,3,3,7,3,3,3,3,3,3,3,23,3,3,3,7,7,7,1,1,3,1,1,1,3,1,3,3,
3,2,1,3,3,1,3,1,1,1,1,1,1,1,1,3,3,1,3,1,1,7,7,3,3,3,1,1,3,3,3,3,3,3,3,1,3,1,1,
3,3,3,7,3,3,3,1,1,1,1,1,1,3,3,1,1,3,3,3,7,3,1,3,1,1,3,3,3,3,7,3,1,1,1,3,1,3,1,
3,1,3,3,3,1,3,1,3,3,1,1,1,1,1,1,1,1,1,1,36,4,6,6,2,10,12,2,2,2,2,6,2,6,2,12,2,
2,6,2,2,4,2,2,4,4,2,2,4,2,2,2,2,2,4,2,2,2,2,2,6,2,2,2,2,75,7,2,2,2,1,1,8,8,6,6
,23,3,2,6,1,1,23,3,6,2,1,1,4,6,30,2,2,2,6,6,4,7,1,6,2,6,2,2,6,2,2,2,2,2,2,2,2,
2,10,10,2,2,1,1,12,2,10,2,1,10,4,2,2,2,2,1,1,15,1,3,4,30,12,12,2,2,3,1,2,2,3,2
,4,2,1,1,3,1,3,1,1,1,3,1,1,1,3,1,3,4,2,1,1,1,3,3,4,1,2,1,1,3,3,1,1,3,1,1,3,3,1
,1,2,1,3,1,1,1,1,3,1,1,1,1,1,1,1,3,3,1,3,1,1,3,1,1,1,3,1,1,1,1,3,3,3,3,3,3,3,7
,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1
,3,1,1,1,1,3,1,1,1,1,1,1,1,36,4,4,6,6,2,6,2,2,2,6,2,4,2,2,2,2,2,2,2,2,10,1,1,1
,3,23,3,3,3,7,1,1,1,1,1,2,2,1,6,2,6,2,4,7,1,3,1,1,1,3,7,1,1,3,1,7,1,1,1,2,2,2,
2,2,2,2,10,2,2,2,1,12,2,3,1,2,2,3,3,1,2,2,4,2,2,2,1,1,3,1,1,3,1,2,1,1,1,1,1,1,
1,1,1,1,3,1,1,2,2,1,3,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,
1,1,4,6,6,6,2,2,2,2,2,2,2,2,2,10,2,1,1,10,2,1,1,2,3,1,4,1,1,1,3,1,1,1,3,1,1,1,
1,1,1,1,3,3,3,7,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,1,2,1,1,1,
1,1,1,1,2,1,1,1,1,1,1,1,6,2,2,2,2,2,10,2,2,1,4,2,1,4,2,1,3,1,1,2,2,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1
,2,1,1,1,1,1,1,1,1],[432432,26208,720,30240,2520,6048,5040,240,240,720,1680,
240,672,12,7392,2520,144,24,1200,24,240,720,240,1680,240,240,240,240,2520,672,
48,12,48,6048,720,240,720,144,1200,144,48,24,720,48,120,240,240,240,240,240,
2520,24,240,24,240,48,12,48,48,48,1680,720,240,720,48,240,48,144,48,48,48,12,
120,12,12,240,720,240,24,24,24,48,48,48,240,240,240,240,48,12,12,672,12,120,48
,12,12,720,48,48,24,48,240,240,12,12,12,240,12,48,48,12,240,48,120,12,48,48,48
,48,240,12,120,12,12,48,12,48,12,12,48,12,12],[432432,6048,1040,15120,126,108,
3024,84,200,240,60,48,840,24,240,672,12,336,42,60,120,36,6,6,360,32,20,18,2,
120,12,24,40,24,24,12,24,240,120,12,36,672,48,12,48,3024,84,24,18,12,24,18,8,6
,20,24,24,18,6,8,8,6,6,8,2,360,18,24,6,60,6,12,120,12,12,24,12,12,36,2,12,12,6
,6,2,120,48,8,12,24,4,24,48,4,40,24,24,18,12,24,18,6,8,120,12,6,4,4,6,6,4,24,6
,6,4,12,60,6,6,2,6,2,12,24,18,12,6,2,2,2,2,2,24,4,48,24,4,12,12,12,12,12,120,
12,6,4,12,12,336,42,2,60,6,24,4,6,2,6,2,24,18,6,4,6,4,2,24,4,12,12,12,12,12,12
,20,8,2,24,6,24,4,6,2,12,6,4,12,6,12,6,4,24,6,6,4,24,4,12,6,2,12,6,2,2,2,2,6,4
,6,2,6,4,2,2,6,2,6,4,2,2],[432432,6048,320,720,252,54,168,240,32,64,72,16,48,
240,672,12,84,24,12,18,6,36,8,2,16,24,16,16,16,8,240,24,18,672,48,12,48,168,12
,8,12,4,12,4,8,12,4,2,36,12,12,8,24,8,16,8,18,2,6,6,2,48,16,12,8,48,8,16,12,8,
12,4,24,4,4,4,12,4,12,12,4,4,8,12,6,2,2,2,2,8,48,8,8,8,8,24,4,12,12,84,2,2,12,
8,4,4,12,4,4,2,8,8,8,12,12,12,8,2,2,12,8,4,8,4,6,12,4,12,4,8,8,4,6,2,2,4,4,4,2
,4,4,2,2],[432432,8064,1200,30240,2520,6048,252,240,320,400,108,36,84,36,672,
12,1008,264,48,984,48,24,320,240,36,36,84,36,12,12,12,12,12,2520,672,64,12,64,
6048,720,240,720,72,16,8,24,88,72,24,32,8,8,8,24,120,240,36,12,12,12,12,12,48,
180,12,24,12,12,48,12,48,64,12,4,4,84,36,8,8,4,320,8,8,72,12,8,8,8,24,4,4,12,
120,4,18,18,4,12,720,8,24,8,12,4,48,12,4,4,4,4,4,4,4,240,36,240,12,12,8,12,4,
12,12,672,12,4,48,6,18,4,4,4,4,8,24,72,4,8,4,4,12,12,12,2,2,12,12,64,48,4,4,2,
4,240,4,8,120,2,48,12,4,4,4,4,4,12,12,4,18,6,4,4,4,12,2,2,48,2,4,2,2,4,4,12,2]
,[432432,8064,1200,15120,126,108,3024,336,120,400,96,168,12,84,36,672,12,672,
42,144,10,12,384,48,36,30,120,48,56,12,84,36,12,12,8,12,8,36,672,64,12,64,3024
,84,24,18,12,24,18,24,18,16,24,32,48,24,24,6,10,12,6,2,6,60,6,12,24,12,8,4,4,4
,4,12,12,4,12,12,12,24,16,24,64,16,4,4,84,36,2,2,2,120,20,8,8,16,16,6,8,8,6,6,
2,2,12,60,6,4,12,2,12,2,4,4,24,18,4,4,4,12,4,24,16,8,4,4,4,4,4,4,12,12,12,12,8
,12,8,4,2,12,12,336,42,2,2,24,4,6,12,4,2,4,4,4,2,6,6,8,4,8,4,4,4,4,12,2,2,12,
12,24,10,24,4,4,4,2,4,12,2,8,12,6,2,6,4,6,8,4,2,4,4,4,6,2,2,4,2,6,4,4,2,6,2,2,
2,6,4,2,4,2,2,4,2,2,2],[432432,6048,480,752,15120,126,108,3024,84,128,240,32,
80,16,36,12,16,84,36,672,12,336,42,160,6,72,18,6,12,6,360,32,2,18,6,2,120,32,8
,12,16,8,12,4,12,12,4,4,12,12,36,672,32,48,12,32,48,3024,84,24,18,12,24,18,8,2
,2,32,2,24,24,8,8,6,2,6,6,2,2,6,6,2,8,24,60,6,12,8,4,4,4,4,12,12,2,12,6,6,4,2,
12,12,24,4,8,32,24,48,8,8,4,4,4,4,12,8,8,4,120,32,12,2,2,8,2,6,6,2,2,2,4,4,4,8
,12,60,6,2,6,6,2,6,6,2,2,4,24,18,6,4,2,2,2,2,2,24,8,4,4,4,4,4,4,4,4,12,12,8,12
,4,4,2,12,4,12,12,336,42,2,4,24,4,6,6,6,2,2,2,2,2,2,8,4,6,6,4,2,2,4,4,4,4,12,2
,2,2,6,32,24,6,24,4,4,4,2,2,12,4,2,12,6,2,6,4,8,2,2,4,4,4,4,6,2,4,6,2,2,2,2,2,
4,6,2,2,2,6,4,2,2,2,2,2,4,2,2],[432432,6048,192,720,30240,2520,6048,240,240,
240,16,16,672,12,672,144,24,24,720,24,240,240,8,8,8,8,2520,672,48,2,12,48,2,
6048,720,240,720,48,48,4,120,240,8,8,24,120,24,2,48,48,48,2,8,240,8,48,12,120,
12,12,8,4,720,12,4,48,240,240,12,12,2,672,12,48,12,2,48,8,8,2,12,2,2,48,2,48,
240,120,2,48,8,12,12,12,48,12,2],[432432,6048,192,720,252,54,168,240,32,72,16,
16,672,12,84,12,6,6,36,6,16,16,24,8,8,8,18,672,48,2,12,48,2,168,12,8,12,12,4,2
,12,8,4,8,2,6,6,2,8,48,8,2,4,24,4,4,12,12,4,4,4,2,12,2,2,8,8,8,12,12,2,84,2,2,
8,4,2,4,4,4,2,12,2,2,12,2,8,8,6,2,4,4,4,2,4,4,2,2],[432432,6048,192,720,252,54
,168,240,32,72,16,16,672,12,84,12,6,6,36,6,16,16,24,8,8,8,18,672,48,2,12,48,2,
168,12,8,12,12,4,2,12,8,4,8,2,6,6,2,8,48,8,2,4,24,4,4,12,12,4,4,4,2,12,2,2,8,8
,8,12,12,2,84,2,2,8,4,2,4,4,4,2,12,2,2,12,2,8,8,6,2,4,4,4,2,4,4,2,2],[432432,
10080,720,30240,252,9072,252,120,240,36,280,72,16,2072,12,2016,252,144,12,240,
12,120,12,252,36,12,12,16,12,24,8,252,2072,60,12,60,9072,252,48,12,16,4,16,4,
20,2,8,4,12,12,4,8,4,252,12,12,2,6,4,12,2,12,60,2,10,10,252,252,36,12,120,12,8
,4,12,20,2,6,2,6,2,4,252,12,4,12,4,4,12,2,4,4,2,2,2,10,2,2,2,2,12,12,8,4,12,4,
12,12,2016,252,4,2,12,2,2,2,6,2,12,4,4,4,2,2,2,2,2,2,2,2,2,4,4,12,2,2,48,12,12
,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,4,2,8,4,2,2,2,2,6,2,252,2,2,2,2,2,6,2,12,2,2,
2,4,2,2,2],[432432,10080,720,30240,252,9072,252,120,240,36,672,48,240,2072,12,
2016,252,144,12,240,12,120,12,252,36,12,12,240,120,12,24,252,2072,60,12,60,
9072,252,48,12,240,12,48,12,20,2,120,12,12,12,12,24,12,252,12,12,30,60,2,12,12
,2,12,60,2,2,2,252,252,36,12,120,12,48,12,12,20,2,6,2,6,2,12,252,12,12,12,12,
12,2,60,12,2,2,2,2,2,2,2,2,12,12,120,12,12,12,12,12,2016,252,20,2,12,2,6,2,6,2
,12,12,12,12,2,2,2,2,2,2,2,2,2,12,12,12,12,12,48,12,12,2,2,2,2,2,6,2,12,2,2,2,
2,2,2,12,48,12,12,2,2,2,2,2,6,2,252,2,2,2,2,2,6,2,12,2,6,2,12,2,2,2],[432432,
13104,240,1008,30240,252,9072,1008,144,368,48,112,48,16,144,504,72,2072,12,
2688,252,12,192,12,12,384,96,12,12,12,144,48,48,16,16,48,16,48,48,504,24,72,24
,24,24,24,8,24,24,24,8,252,2072,8,64,12,8,64,9072,252,32,4,144,12,64,48,16,4,
12,4,4,12,20,2,16,16,24,24,24,8,8,8,8,8,8,252,12,12,12,12,12,12,72,24,12,8,8,4
,8,8,8,12,64,4,4,8,4,4,504,252,12,72,12,12,144,12,48,12,12,4,16,12,20,2,4,2,2,
8,2,2,8,2,4,2,8,252,12,12,12,12,4,12,4,12,4,4,8,4,12,4,4,4,4,8,8,8,8,8,4,4,4,4
,4,4,4,4,4,4,4,4,2,16,4,24,12,24,8,12,4,4,4,24,12,12,12,2016,252,12,2,8,2,2,2,
4,2,4,2,4,2,4,2,12,12,4,4,12,4,4,8,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,8,4,12,2,
2,72,12,24,12,48,12,12,4,2,2,4,2,2,4,2,4,2,2,4,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,8
,4,4,2,4,2,4,2,2,2,2,4,4,2,6,2,252,2,2,2,2,2,2,2,4,2,6,2,2,2,2,2,12,12,12,2,2,
2,4,2,2,2,2,2],[432432,10080,720,16632,252,3024,756,40,240,108,616,72,80,392,2
,1680,252,120,12,240,72,12,40,36,252,36,12,12,80,120,12,48,252,392,20,2,20,
3024,36,36,24,4,108,40,36,12,12,168,16,4,40,8,4,17,2,2,40,12,12,12,36,24,12,
252,12,12,12,12,62,12,18,2,4,6,4,20,6,6,6,252,36,36,4,36,4,4,4,40,4,4,12,40,12
,4,16,4,8,12,2,17,2,5,2,5,2,5,2,5,12,36,12,12,4,12,4,12,4,4,4,6,12,12,2,10,2,6
,2,2,2,2,12,4,40,12,4,8,4,4,4,12,4,2,2,336,17,5,2,4,1,1,5,2,3,2,5,3,2,3,3,3,5,
1,3,36,4,12,4,4,4,4,4,2,4,2,2,6,2,2,6,2,2,2,2,2,12,4,2,2,2,2,2,36,12,8,4,1,1,2
,1,2,1,5,3,2,1,3,1,1,5,3,1,1,3,3,4,4,4,4,2,2,2,6,1,2,2,2,2,2,2,2,2,2,2,8,4,4,4
,1,2,1,2,1,3,3,1,1,1,4,1,2,2,2,2,2,6,2,2,1,2,1,1,2,2,2,2,2,4,2,1,1,1,2,1,2,2,2
,2,1,1,1,2,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1],[411840,20160,51840,2520,144,20160,
1680,1680,6720,6720,1680,480,24,240,1680,2520,144,144,6720,20160,1680,480,48,
24,480,48,24,240,240,48,120,1680,120,48,24,240,240,12,12,1680,1680,240,240,48,
144,120,1680,480,48,24,24,24,24,12,12,48,6720,1680,12,12,240,48,48,12,12,48,24
,240,240,120,48,12,1680,12,12,48,240,12],[411840,20160,50400,1692,72,36,20160,
1680,1680,6720,6720,1680,240,36,12,240,1680,1680,12,24,36,12,6720,20160,1680,
240,36,12,12,240,36,12,12,240,240,12,12,1680,12,12,12,240,240,12,12,1680,1680,
240,240,12,12,12,1680,240,36,12,12,12,12,12,12,12,12,12,6720,1680,12,12,240,12
,12,12,12,12,12,240,240,12,12,12,1680,12,12,12,240,12],[411840,8640,28800,324,
72,144,8640,240,240,1920,1920,240,36,2,240,240,48,24,36,12,1920,8640,240,36,12
,36,12,12,2,24,240,24,12,2,2,2,2,2,240,240,12,12,2,2,2,24,2,240,36,12,2,2,2,12
,2,1920,240,2,2,2,2,2,2,12,12,2,2,2,2,2,2,2,2,12,2,2,2,2,2,2,24,12,2,2,2,2,2,
240,2,2,2,2,2,2,12,2,2,2,2],[405405,12285,765,861,14175,3969,1953,117,193,541,
93,189,129,49,81,177,45,53,441,57,37,21,315,1575,255,99,315,87,21,189,393,105,
21,41,45,21,101,33,33,49,33,81,57,93,129,21,45,37,29,33,45,21,441,81,45,29,33,
7,33,21,13,35,7,7,7,7,17,7,11,11,19,9,3,15,15,3,3,3,3,33,81,5,17,9,13,9,17,29,
21,17,17,13,5,5,5,1,1,315,51,15,51,15,2835,135,45,27,33,31,9,19,225,87,51,31,
63,27,39,19,33,21,27,9,45,9,7,21,9,7,99,105,21,45,45,33,27,31,29,45,57,41,21,
21,31,29,27,21,31,31,3,9,9,7,7,7,11,11,5,11,3,5,11,11,9,5,3,3,3,33,81,5,7,15,
15,17,17,9,9,3,9,7,7,9,7,9,11,7,3,3,7,9,21,29,21,21,17,13,13,13,9,9,13,9,9,13,
13,13,11,15,11,9,5,7,5,5,5,5,7,5,5,5,5,7,5,5,5,5,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3
,15,21,13,13,9,9,9,7,9,13,5,5,5,3,3,7,7,3,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,45
,3,9,7,9,27,11,3,13,51,11,11,9,15,13,13,27,3,7,1,7,1,315,27,45,9,9,5,3,9,9,5,5
,3,5,5,5,1,5,7,75,51,21,15,15,21,11,9,27,27,9,15,15,19,9,9,45,33,21,31,15,21,
21,27,11,11,11,15,21,9,9,9,9,9,5,7,3,5,5,1,9,5,9,9,7,3,5,3,5,9,21,5,5,7,5,5,3,
1,3,3,5,5,3,5,3,3,5,5,5,3,1,1,45,21,27,21,29,27,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,31,9,7,3,3,3,7,7,7,5,5,5,7,11,3,3,3,9,9,7,11,7,9,9,3,3,3,3,1,1,3,1,1,1,3,1
,1,1,1,3,1,1,3,3,3,3,9,9,5,7,3,3,3,3,15,21,7,5,5,5,5,5,9,13,9,11,9,3,9,7,7,9,7
,7,7,9,9,9,9,13,5,7,3,3,3,3,3,3,5,5,1,1,1,1,1,1,7,5,3,5,7,7,9,7,9,9,9,5,3,3,3,
7,7,3,3,3,3,3,3,3,3,7,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,1,1,1,
1,1,1,1,1,1,1,1,1,21,3,9,11,9,27,11,11,11,21,9,13,9,9,11,3,3,3,3,3,9,9,5,7,3,3
,3,3,5,5,5,3,1,5,3,1,5,7,1,1,5,7,3,1,1,5,3,7,1,1,5,1,1,1,1,5,5,7,1,45,9,27,11,
13,15,9,9,45,9,5,15,9,3,15,7,21,15,21,15,15,9,9,9,11,15,9,9,9,3,3,3,3,7,9,5,5,
9,5,5,5,3,3,3,3,9,7,5,5,3,3,3,3,1,5,3,3,3,5,1,5,3,5,3,3,3,1,3,1,1,3,1,1,1,1,1,
3,3,3,5,1,3,5,3,5,5,5,3,3,3,3,3,5,3,3,3,1,5,3,3,3,5,3,3,5,3,3,1,1,1,3,1,1,3,5,
3,3,5,3,3,3,5,1,3,3,3,5,3,3,5,3,5,1,1,1,3,1,3,1,3,3,3,3,3,1,3,1,3,3,1,1,1,1,1,
1,1,1,1,1,315,27,1,3,1,1,1,1,3,1,1,1,1,1,1,1,1,1,3,3,1,3,3,3,3,3,3,3,9,9,5,7,7
,7,3,9,7,7,7,7,9,3,3,3,3,5,7,3,3,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,7,3
,3,3,3,3,1,1,1,1,3,3,3,1,1,1,3,3,3,3,5,5,5,3,1,3,1,1,1,1,3,1,3,1,5,3,3,1,1,1,1
,5,5,3,1,1,1,1,3,3,1,1,1,1,1,21,3,9,11,9,9,9,3,3,7,3,1,1,5,3,3,3,1,5,3,1,5,3,5
,1,3,3,1,1,5,5,1,1,3,1,1,3,3,3,3,5,3,5,3,3,3,3,3,1,1,1,3,3,3,3,3,3,7,5,5,1,1,1
,1,3,5,1,1,1,1,1,1,1,1,1,21,3,9,11,15,3,3,3,7,1,5,15,9,9,9,9,3,5,3,3,3,3,3,5,1
,3,1,3,3,3,3,1,1,3,3,1,1,3,3,3,3,3,1,1,3,3,3,3,3,7,1,5,1,1,3,3,1,1,3,1,3,3,3,1
,1,3,5,1,3,1,1,1,1,3,3,1,1,1,1,1,1,3,3,3,3,1,1,3,1,3,3,5,3,3,3,3,3,3,3,5,3,3,3
,3,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,3,1,1,1,1,3,1,1,1,1,1,1,1,45,9,51,15,3,3,7,3,3,3,1,3,1,1,1,1,1,1,1,3,1,1,
1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,5,3,3,1,1,1,1,1,3,1,1,1,1,1,3,1,3,3,1,1,9,3,3,3,
3,3,1,3,1,1,1,3,5,3,3,1,3,3,1,5,1,1,3,1,1,3,1,1,1,1,3,1,1,1,1,3,3,1,3,1,1,1,1,
3,3,3,1,1,3,1,1,1,1,1,1,1,1,1,9,3,3,3,3,1,3,3,1,1,1,3,5,1,1,1,3,1,1,3,3,1,1,1,
3,3,3,1,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,3,1,1,1,3,3,5,3,1,3,1,1,3,1,1,1,1,1,1,1,
1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,9,27,11,3,13,3,7,9,9,5,3,5,3,7,1
,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,1,1,3,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,3,3,1,3,3,1,1,3,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,21,3,9,11,3
,3,7,3,1,5,1,3,3,1,5,3,3,5,3,3,3,7,1,1,5,3,5,1,1,1,1,1,1,1,3,1,1,1,1,1,1,3,1,1
,1,1,1,1,1,9,3,3,3,1,3,1,1,3,1,5,1,1,3,3,3,1,3,3,5,1,3,1,1,1,1,1,1,1,1,1,1,1,3
,3,3,1,1,1,1,3,1,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1],[400400,5600,560,9800,350,80
,44,560,420,120,80,44,24,80,16,560,70,20,56,8,2,2,8,320,56,20,20,26,2,40,12,16
,8,24,8,4,8,16,4,8,350,8,26,26,8,8,8,26,8,8,2,2,560,20,20,6,2,12,6,20,20,48,2,
8,8,12,12,2,2,60,20,8,24,2,2,12,4,2,2,4,2,2,24,8,2,8,8,2,2,12,8,4,4,4,8,4,70,8
,2,2,20,50,14,8,8,10,8,2,2,2,4,2,2,2,2,2,2,26,8,2,2,2,2,8,2,2,2,4,2,4,2,2,8,8,
4,2,40,6,4,4,4,8,2,4,4,4,2,8,2,4,2,2,2,8,4,4,26,8,8,8,8,2,2,2,2,2,2,2,2,2,4,12
,2,20,2,2,20,2,2,2,2,2,2,2,6,8,10,20,6,2,2,8,2,2,8,2,2,2,2,2,2,12,2,2,2,2,6,2,
2,2,2,2,2,2,2,2,8,2,2,12,6,6,4,2,8,4,2,4,2,4,4,4,4,4,4,2,10,8,2,4,2,2,2,2,8,2,
4,2,2,2,2,2,2,2,2,2,2,4,6,2,2,8,2,2,2,2,2,2,2,8,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,
2,2,2,2,2,2,4,2,2,8,2,2,2,2,2,2,2,4,2,4,2,2,8,2,2,8,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,4,2,2,2,6,2,4,2,2,2,6,2,2,2,2,2,2,2,4,4,4,2,2,4,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,4,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2],[400400,5600,480,400,9800,350,80,44,560,420,80,80,32,80,16,36,12,16,
140,12,560,70,80,10,32,6,8,2,8,320,88,10,20,26,6,4,40,32,8,12,16,8,12,20,12,12
,4,4,4,4,350,8,26,26,8,8,8,26,8,8,2,2,560,20,20,6,2,12,6,20,20,48,2,8,20,2,2,
60,8,10,8,12,20,4,12,4,8,2,2,2,6,2,2,2,2,4,8,8,12,20,8,12,8,4,4,4,4,4,70,2,8,2
,8,2,10,50,6,14,2,2,10,8,4,4,2,2,2,4,2,2,2,8,26,8,2,2,4,2,2,2,2,2,40,32,6,4,2,
4,2,8,8,4,8,4,2,2,2,2,2,2,4,8,4,4,8,4,12,4,4,4,4,4,26,8,8,8,8,2,2,2,2,2,2,2,2,
2,4,70,2,20,2,2,20,2,2,2,2,2,2,2,6,8,10,10,6,2,6,2,2,2,2,2,2,2,2,2,8,2,2,8,2,2
,8,2,2,12,2,2,2,2,2,2,6,2,2,2,4,2,8,2,2,2,12,6,8,6,2,2,4,4,2,4,4,4,4,4,4,4,2,
10,2,2,4,8,2,2,2,2,2,2,2,2,8,4,4,2,2,2,2,2,2,2,2,10,6,2,2,2,8,2,2,2,8,8,2,2,2,
2,2,2,8,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,4,8,2,2,2,2,2,2,2,4,4,2,2,
2,2,2,2,2,2,10,2,4,8,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,6,2,2
,2,2,2,2,2,2,4,4,2,4,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,2,2,2,2,2,2,2,2,2,2
,4,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[400400,15680,720,
9800,350,80,44,560,3360,40,720,120,12,140,12,2240,350,144,38,14,8,560,24,20,38
,6,40,720,120,12,140,40,12,12,12,40,12,350,8,26,26,8,8,8,26,8,8,2,2,560,20,20,
6,2,12,6,20,20,144,2,6,24,4,6,560,144,8,24,24,2,38,4,2,6,20,4,2,2,8,2,6,120,12
,40,12,12,12,12,350,38,8,8,8,8,8,14,14,110,6,26,14,2,8,6,2,2,38,8,2,2,2,140,20
,12,4,2,2,20,8,4,4,4,4,2,2,2,40,6,4,6,24,4,8,144,2,24,24,4,4,6,8,2,4,6,8,4,2,8
,4,2,4,4,26,8,8,8,8,2,2,2,2,2,2,2,2,2,12,20,2,2,20,2,2,2,2,2,2,2,6,8,110,6,6,
38,2,2,8,14,2,8,2,2,6,38,2,6,2,2,38,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,12,6,6,6,40,
12,4,24,4,6,8,4,4,4,2,4,4,4,4,4,2,26,2,8,2,14,8,8,8,2,2,2,2,14,8,2,20,4,2,2,2,
2,2,2,2,2,2,2,2,6,8,2,6,2,2,2,8,2,6,2,2,2,38,2,2,6,6,2,4,2,2,2,2,2,2,2,2,6,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,8,2,2,2,2,2,2,12,6,4,2,26,2,2,2,8,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,14,8,14,2,2,2,2,2,2,6,8,4,2,2,2,6,2,2,2,4,4,4,2,2,2,2,2,2,2,2
,8,8,2,2,2,2,2,2,2,2,2,2,2,2,2,14,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,6,4,2,2,2,2,2,8,8,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[400400,10080,320,240,5600,140,74,80,
1680,240,64,32,16,16,1120,140,48,8,12,2,4,2,240,12,8,12,2,240,16,8,8,8,16,8,8,
16,8,140,32,8,8,2,2,2,20,2,8,8,2,24,12,8,2,48,4,2,240,48,4,4,8,12,2,2,16,8,8,8
,140,12,2,2,2,2,2,2,4,4,40,8,8,4,2,2,2,2,2,2,6,4,2,12,2,12,2,48,4,2,2,2,8,2,2,
2,8,8,2,2,2,8,2,2,2,2,8,4,2,2,2,2,6,2,40,8,12,4,2,2,2,2,2,2,2,4,12,2,12,4,2,2,
8,2,2,2,2,4,2,2,2,2,2,4,4,2,2,2,4,2,2,2,2,2,2,6,2,4,2,12,4,2,2,2,8,2,2,2,2,2,2
,8,2,2,4,2,2,2,4,2,2,2,4,2,2,2,2,4,2,2,2,2,4,2,2,2,8,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2],[393120,480,108,24,240,30,36,2
,6,12,240,12,36,6,2,6,2,12,36,2,6,6,3,36,2,1,2,6,1,2,36,2,1,2,6,1,6,1],[393120
,480,108,24,16,30,12,6,6,4,16,4,27,6,2,6,2,4,3,3,2,2,1,3,1,1,2,3,2,1,3,1,1,1,2
,1,2,1],[393120,480,108,24,16,30,12,6,6,4,16,4,27,6,2,6,2,4,3,3,2,2,1,3,1,1,2,
3,2,1,3,1,1,1,2,1,2,1],[386100,8100,420,500,1350,1260,108,7560,420,100,120,180
,36,100,72,24,36,20,420,36,60,12,30,420,70,60,18,36,12,12,6,90,14,20,36,12,2,
120,80,120,20,72,24,24,60,12,4,36,12,16,20,12,12,12,420,20,36,12,12,60,12,12,4
,40,12,12,8,8,8,20,4,20,20,40,4,4,12,12,12,4,8,8,36,420,180,12,40,18,4,90,12,
10,6,6,4,14,18,6,20,6,6,18,6,4,10,12,12,4,4,12,2,4,6,12,6,8,60,16,4,24,12,12,
12,20,20,40,4,4,4,4,4,8,8,20,20,40,4,4,4,4,8,12,12,4,4,4,4,4,8,12,8,8,8,8,20,4
,4,4,4,4,4,4,8,4,12,2,12,6,6,4,2,120,6,6,420,60,20,20,40,12,12,4,4,8,4,2,4,2,2
,4,2,4,2,4,4,6,20,20,12,12,12,2,4,8,2,8,2,6,6,6,18,6,6,6,4,6,2,8,10,6,6,6,4,2,
20,2,12,6,2,4,4,6,2,2,4,4,6,4,2,2,2,4,2,2,2,4,2,12,20,4,4,4,40,20,8,8,8,4,4,4,
4,4,20,20,4,4,4,4,4,4,4,8,4,4,8,4,12,9,4,6,4,2,2,2,2,2,8,2,4,4,30,3,6,20,12,4,
4,4,12,20,4,4,4,8,4,2,4,2,8,2,6,6,6,6,2,4,2,2,6,4,4,2,2,4,2,2,4,2,2,4,4,2,2,2,
2,4,2,2,4,2,2,4,2,2,4,2,2,2,4,2,2,2,2,2,2,4,10,6,20,4,4,4,4,4,4,8,4,4,4,4,2,1,
4,2,12,2,3,2,4,4,2,3,4,2,2,2,2,2,30,10,6,2,3,1,20,2,10,2,1,6,4,4,6,2,4,2,4,2,2
,2,2,2,4,2,2,2,2,4,2,2,4,2,2,2,2,4,2,2,2,2,2,2,2,4,4,2,2,2,2,2,2,4,1,3,2,2,2,2
,2,2,2,60,20,10,1,1,20,4,2,10,2,2,2,1,2,6,2,2,2,4,4,2,2,2,2,2,2,2,2,3,1,3,1,3,
2,2,2,1,1,4,4,1,2,2,4,2,3,2,1,3,1,2,2,2,1,1,1,1,1,2,1,1,2,1,10,2,1,1],[360360,
3528,360,264,22680,2016,288,3528,88,88,88,24,72,72,24,24,24,280,280,120,24,408
,120,96,88,72,24,24,88,24,24,24,24,24,24,24,24,24,2016,288,288,280,24,8,24,8,
3528,408,88,96,40,24,408,96,40,40,40,24,24,8,8,8,24,8,8,40,16,88,24,24,24,24,
24,24,24,24,24,40,24,16,96,8,8,8,8,24,8,8,8,8,8,8,8,88,72,40,24,40,40,8,24,8,8
,8,8,8,8,8,8,288,40,16,8,8,24,24,24,408,96,96,96,40,96,8,8,8,8,8,8,8,8,8,8,8,8
,8,8,16,88,24,24,40,24,24,88,40,24,24,40,8,8,8,8,16,280,8,8,8,8,8,8,24,8,24,8,
8,40,8,8,8,8,8,8,16,24,24,8,24,96,24,8,8,8,8,8,8,8,88,40,40,24,40,40,8,8,8,40,
16,8,24,24,24,8,8,8,8,8,8,8,8,8,24,8,8,8,8,40,8,8,8,8,16,24,24,24,8,8,8,8,8,8,
8,8,8,24,8,8,8,8],[360360,15624,360,840,26460,630,18,8064,2100,120,240,360,72,
168,96,48,180,60,24,840,72,1680,3780,630,60,30,168,18,6,18,6,576,180,30,18,18,
18,240,120,96,24,48,48,24,120,72,24,72,60,24,24,24,24,60,840,60,72,24,24,36,36
,12,24,12,60,12,24,24,36,12,630,18,18,1680,24,24,7560,210,90,6,216,18,6,18,12,
18,60,6,36,6,6,450,36,24,12,30,60,60,24,12,90,30,12,6,6,6,18,6,6,18,18,30,6,6,
90,6,18,6,30,120,60,24,48,24,24,24,24,24,60,24,24,24,12,12,12,12,12,12,12,12,
24,36,12,12,12,12,12,24,12,12,12,630,6,18,6,30,90,18,54,6,6,18,18,6,6,18,18,18
,180,36,24,24,24,840,210,90,30,72,6,18,6,6,6,90,18,6,6,6,6,6,6,6,6,120,30,72,
18,6,6,6,36,6,12,6,6,60,24,6,12,12,12,6,6,6,18,6,12,6,12,12,12,12,6,18,6,6,6,6
,30,6,30,30,6,18,6,6,6,18,6,6,6,6,6,18,6,6,6,6,6,6,6,18,30,6,6,24,24,12,24,12,
12,12,12,12,12,12,210,6,90,6,90,30,18,6,54,18,6,6,6,6,6,18,6,18,18,18,18,18,6,
6,6,6,18,6,6,6,18,6,18,18,24,12,12,60,6,6,6,24,6,12,6,12,6,60,30,36,12,18,6,6,
6,24,6,6,24,6,6,12,6,6,6,6,6,30,12,12,12,12,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6
,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,18,6,18,6,1680,210,30,6,6,
6,6,12,90,6,6,6,30,18,6,6,6,18,6,6,18,6,6,6,18,6,6,6,6,6,18,18,18,6,6,6,6,6,6,
6,6,6,18,6,6,18,12,12,6,12,6,6,24,12,6,6,6,6,6,12,12,6,6,6,6,6,6,6,6,6,6,6,6,6
,6,6,18,18,6,18,6,6,18,6,6,6,18,18,6,6,180,30,36,18,24,6,6,6,6,6,6,6,6,6,18,6,
6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,30,6,12,6,6,6,6,6,6,6,18,18
,6,6,6,18,6,6,6,24,6,12,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,210,30,6,6,6,6,
6,18,6,6,6,6,6,6,12,6,6,6,30,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6],[
360360,23184,600,30240,1890,72,8064,4620,120,240,600,60,24,1680,24,120,1680,
6720,1890,60,96,24,6,1200,60,6,240,600,120,60,24,1680,240,24,24,24,120,12,12,
120,240,12,24,1890,72,72,1680,24,24,8064,210,480,24,120,6,6,480,96,6,6,1200,60
,96,48,6,6,6,6,480,6,48,6,120,120,60,24,120,120,12,12,12,120,240,12,12,12,12,
24,24,24,12,24,12,12,1890,24,6,60,300,24,24,72,6,360,24,24,24,24,1680,210,480,
60,24,120,6,24,6,6,480,48,6,6,240,60,6,48,96,6,6,48,6,48,6,48,6,72,120,120,12,
12,12,24,12,12,12,12,210,6,480,24,6,6,6,300,60,6,24,6,6,6,6,6,6,6,6,24,24,24,
120,6,24,6,120,6,240,60,24,6,6,6,6,12,120,6,12,6,48,6,72,24,1680,210,120,24,12
,480,24,6,60,6,6,48,24,6,6,6,48,24,6,6,6,6,6,6,6,6,6,6,6,24,120,6,120,12,6,6,6
,12,24,6,6,12,12,6,6,12,72,24,24,6,360,60,24,6,24,120,6,6,48,24,6,6,6,6,6,6,6,
120,24,12,6,24,6,6,6,24,6,24,6,24,6,24,120,6,12,6,6,6,210,120,24,6,6,6,24,6,12
,6,60,24,6,6,6,24,6,24,6,6,6,24,6,6,6],[360360,8064,240,600,25200,252,36,72,
7560,224,80,120,16,48,56,8,72,24,8,420,60,120,1680,1680,210,30,120,18,24,6,12,
120,96,24,12,60,48,4,4,12,8,12,8,4,12,210,10,54,18,6,14,18,6,6,12,8,6,120,60,4
,12,12,12,4,210,24,12,18,6,1680,24,24,7560,224,8,18,8,6,4,8,18,8,8,2,24,8,18,
24,8,8,2,6,12,6,8,2,120,24,24,6,6,12,6,4,2,4,60,12,6,4,4,4,2,12,6,8,4,4,2,4,2,
2,6,6,12,4,4,2,2,4,6,6,2,2,12,6,2,210,24,6,12,12,12,12,12,6,6,6,6,6,24,24,4,24
,4,210,210,10,54,6,14,8,18,6,8,4,8,18,8,8,2,60,48,12,12,6,6,2,4,4,2,6,4,2,24,6
,6,6,2,4,6,12,6,4,4,2,2,2,2,2,4,2,2,2,2,6,2,210,6,8,18,8,2,2,12,12,12,2,2,6,2,
6,2,2,2,6,6,4,24,4,6,6,4,4,2,6,4,12,4,12,2,2,6,6,6,6,4,2,4,60,12,6,6,2,6,2,4,6
,6,6,1680,210,12,4,2,8,18,8,12,2,2,6,6,2,4,2,2,6,6,4,2,6,2,6,6,2,2,2,2,2,2,4,6
,4,6,6,4,4,2,2,2,2,2,2,2,6,6,2,2,2,2,2,2,2,6,6,6,2,24,12,24,6,4,6,4,2,6,6,2,4,
6,2,2,2,2,2,12,6,2,2,2,6,2,2,2,4,2,24,6,4,2,4,6,4,2,2,2,2,2,210,12,6,2,2,2,4,2
,2,2,12,4,2,6,2,6,2,4,2,2,6,6,2,2,2],[360360,9072,1080,30240,1890,72,8064,252,
120,240,360,48,108,24,224,72,8,1680,1792,210,288,66,12,720,18,240,120,24,36,24
,224,72,24,24,16,12,8,4,8,12,24,16,1890,72,72,1680,72,72,8064,210,480,24,120,6
,6,480,48,6,6,96,48,32,6,18,6,16,2,32,2,120,120,24,12,8,4,8,4,4,12,12,12,8,4,
24,16,8,8,12,8,4,4,210,66,12,12,160,24,4,18,24,12,24,72,12,4,4,224,210,72,18,
16,8,4,2,2,16,8,2,2,240,18,48,6,16,6,32,2,8,2,8,2,72,120,12,12,8,4,4,12,8,4,4,
4,4,210,18,2,480,24,6,6,6,24,4,6,6,18,6,6,2,2,24,12,4,4,4,4,4,120,6,24,6,120,6
,16,6,24,6,18,12,8,2,12,2,8,2,24,12,4,1680,210,24,12,4,16,4,2,2,2,6,6,32,24,2,
48,6,4,6,18,2,6,2,2,2,2,2,4,8,2,8,4,2,2,6,12,8,6,4,2,2,4,12,2,24,6,4,4,72,18,
24,4,4,120,6,6,6,8,4,2,2,2,2,2,2,120,24,2,4,6,2,2,4,24,6,12,6,4,2,4,8,2,12,6,2
,2,210,12,4,6,2,2,4,2,4,2,24,6,18,2,24,6,6,4,2,2,4,2,6,2],[360360,9072,1080,
25200,252,36,72,9072,224,360,360,360,16,72,24,224,72,8,1680,1680,224,216,24,12
,12,360,36,360,360,8,24,24,224,72,24,24,8,24,8,4,8,24,24,8,210,24,12,18,6,1680
,72,72,7560,224,8,18,8,6,4,360,8,36,8,72,72,8,24,24,4,8,4,8,8,12,360,24,4,8,4,
8,4,4,24,24,24,8,4,24,8,4,4,24,4,4,4,210,18,4,6,2,4,8,12,8,18,72,4,72,72,4,4,4
,210,224,54,24,4,4,2,4,2,8,4,4,4,180,24,72,24,4,4,8,8,4,4,4,4,6,12,4,4,8,4,4,
24,4,4,4,4,4,210,18,2,8,18,8,2,2,4,4,18,2,18,18,2,2,2,72,4,4,4,4,4,4,180,24,6,
4,6,4,4,4,18,24,24,18,4,4,6,4,4,4,6,2,2,1680,210,4,4,4,4,2,4,2,2,18,2,8,6,8,6,
4,4,18,18,2,2,2,2,2,2,2,4,4,2,4,2,4,4,24,18,2,4,2,4,4,2,6,4,6,2,2,2,72,18,4,4,
4,6,4,18,2,4,2,4,2,2,2,2,2,12,6,4,2,2,2,2,2,72,18,4,2,4,2,4,4,2,6,2,4,2,210,4,
2,2,2,2,4,2,4,2,4,2,18,2,6,18,2,4,2,2,2,2,2,2],[360360,9072,1080,25200,252,36,
72,8064,252,120,240,360,48,108,24,224,72,8,1680,1680,224,216,24,12,12,360,36,
240,120,24,36,24,224,72,24,24,16,12,8,4,8,12,24,16,210,24,12,18,6,1680,72,72,
7560,210,3,9,24,6,6,3,120,24,24,12,72,24,24,12,24,8,8,4,8,8,12,120,24,12,8,4,8
,4,4,12,12,12,8,4,24,16,8,8,12,8,4,4,210,18,4,6,2,4,8,12,8,18,24,12,24,72,12,4
,4,210,210,1,54,18,1,3,2,4,2,1,8,4,4,4,180,18,3,24,12,12,8,8,8,4,4,4,4,6,12,4,
4,8,4,4,12,8,4,4,4,4,210,18,2,3,6,3,18,3,6,4,4,6,6,18,6,6,2,2,24,12,4,4,4,4,4,
60,6,18,3,3,6,6,3,12,6,18,6,18,6,1,1,1,4,2,1,6,3,2,4,4,6,2,2,1680,210,3,4,4,1,
2,1,2,1,2,6,6,6,6,1,1,6,2,3,3,6,18,2,6,2,2,2,2,2,4,2,1,4,2,2,2,1,1,6,6,6,6,1,1
,2,2,1,2,2,1,6,3,2,6,3,2,2,72,18,3,1,1,3,3,6,6,2,1,2,1,2,2,2,2,2,12,6,2,2,1,3,
1,1,2,24,6,12,6,4,2,1,1,1,3,3,1,1,2,210,4,2,3,1,1,4,2,1,1,3,3,18,1,6,6,6,1,1,2
,2,2,3,1],[360360,10584,120,520,30240,1890,72,8064,840,120,160,200,24,56,32,16
,72,24,8,420,36,1680,2240,210,10,96,6,6,720,64,10,54,6,4,160,40,32,8,16,16,8,
120,24,8,24,24,8,8,8,8,24,420,20,36,12,12,12,12,4,12,4,20,4,12,12,12,4,1890,72
,72,1680,24,24,8064,210,480,24,120,6,6,480,96,6,32,16,2,2,120,10,32,32,24,8,2,
2,2,6,2,2,6,6,8,48,120,120,24,8,16,8,8,8,8,8,20,12,12,12,4,4,4,4,4,4,4,4,12,12
,4,4,4,4,4,12,4,4,4,210,6,10,170,6,6,24,8,4,4,54,4,60,12,24,24,24,420,210,10,
36,6,6,160,10,32,6,6,16,4,8,2,2,16,16,2,32,2,6,2,2,2,2,8,8,8,48,8,8,72,120,8,8
,4,12,4,4,4,4,4,4,4,210,6,480,24,6,6,6,10,10,6,2,6,2,2,2,6,6,6,24,2,2,2,2,4,24
,4,4,120,6,24,16,2,8,2,120,6,20,10,12,4,6,2,2,2,12,6,6,12,2,2,4,8,2,12,8,24,8,
4,1680,210,24,12,4,10,6,2,2,2,6,48,24,4,32,2,2,6,2,6,6,2,2,2,2,2,2,16,4,2,2,2,
4,8,8,2,6,12,4,2,2,2,2,2,4,4,8,2,4,12,4,24,6,4,4,60,10,12,6,24,6,24,120,6,6,2,
2,2,2,2,2,8,4,8,2,120,24,4,2,4,6,4,2,2,24,6,4,4,2,2,4,8,2,12,6,2,2,210,12,4,6,
2,2,4,2,4,2,10,6,24,6,6,2,24,6,2,2,4,2,4,2,6,2],[360360,15624,40,520,25200,252
,36,72,7560,2744,120,520,40,40,8,8,120,24,840,24,1680,3360,210,30,80,2,6,480,
16,40,24,4,4,4,120,520,8,8,8,8,8,40,40,40,120,24,840,120,24,24,24,8,8,8,120,24
,8,8,210,24,12,18,6,1680,24,24,7560,224,8,18,8,6,4,80,18,8,16,12,4,2,480,30,80
,6,6,16,16,2,2,2,2,6,2,6,6,12,120,24,40,40,8,8,8,120,24,24,24,8,8,8,8,8,8,8,8,
24,8,8,210,6,30,30,2,2,8,12,6,2,2,2,6,4,4,180,4,4,24,4,840,210,30,24,6,2,120,
40,8,4,12,4,2,2,4,4,16,2,4,80,2,2,2,2,16,16,2,6,6,6,2,2,2,6,12,40,8,8,24,8,8,8
,8,8,210,6,8,18,8,2,2,30,30,2,2,2,2,6,6,2,6,2,6,6,2,2,4,2,4,24,4,6,24,8,4,4,12
,2,6,4,120,30,8,8,2,2,2,2,2,24,6,6,6,16,2,6,2,2,6,2,2,1680,210,4,4,8,30,2,2,2,
6,2,6,6,6,2,8,2,2,4,2,2,6,2,6,6,2,2,2,2,4,4,2,2,2,4,8,2,4,24,8,8,6,2,2,2,2,2,4
,2,2,6,2,2,2,6,2,2,2,180,30,4,2,24,6,4,6,4,2,2,2,6,2,2,2,2,2,4,2,12,6,8,2,2,2,
2,2,2,4,2,24,6,4,2,4,4,2,6,2,2,2,2,210,4,2,2,2,2,4,2,2,2,30,2,4,2,6,2,6,2,6,2,
4,2,2,2,2,2],[360360,13104,440,26460,630,18,8064,1680,120,160,280,32,12,700,20
,40,1680,2800,210,20,72,6,516,44,20,18,42,2,160,200,120,24,12,700,80,20,12,12,
40,8,4,40,80,8,12,630,18,18,1680,24,24,7560,210,90,6,216,18,72,18,12,32,12,28,
12,16,2,2,280,20,40,24,2,2,6,6,40,2,20,28,4,4,2,2,30,120,20,12,40,40,4,4,4,40,
80,4,8,8,8,8,12,8,8,8,4,4,210,6,20,70,18,6,4,2,2,6,42,18,18,2,120,8,24,24,24,
630,210,20,18,6,40,8,2,2,100,20,6,6,10,2,20,16,24,12,12,24,24,6,2,28,20,12,12,
4,2,8,4,8,4,2,8,2,8,2,4,8,8,12,18,30,6,6,40,4,4,8,8,4,4,4,4,210,6,90,6,20,20,2
,2,18,18,18,12,2,6,6,2,16,2,2,2,4,6,6,6,10,2,2,2,4,2,4,4,2,24,8,8,60,6,6,6,6,6
,2,2,20,12,12,60,20,10,6,6,2,2,6,20,2,8,8,2,2,2,2,8,2,4,4,8,8,8,8,12,8,8,4,4,4
,4,4,4,4,18,6,6,4,2,1680,210,6,6,2,6,6,4,20,2,6,18,18,6,6,2,6,6,2,2,2,2,10,6,2
,2,2,4,2,2,2,2,4,2,6,6,6,2,4,2,2,2,2,2,8,20,2,2,2,6,6,6,2,2,2,8,8,4,4,4,2,2,2,
2,2,2,4,4,4,4,18,6,6,4,2,4,2,6,6,2,2,2,2,120,20,24,6,6,2,2,6,6,6,6,2,2,2,2,2,2
,2,6,6,6,6,2,2,10,2,2,2,2,2,2,2,30,6,2,2,4,6,4,2,2,2,6,6,2,2,2,2,2,2,24,6,8,2,
8,2,2,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,210,6,2,6,6,6,2,2,2,2,2,2,8,2,2,2,20,6,6,6
,2,2,2,2,2,6,6,2,2,2,2,6,2,2,6,2,2,2],[360360,8736,240,1080,26460,630,18,7560,
252,160,280,48,48,56,8,132,36,8,280,80,40,1680,1736,210,40,264,12,46,4,6,372,
108,6,18,12,140,48,4,4,12,24,32,8,4,24,210,10,78,26,14,14,18,14,6,12,8,6,40,20
,4,8,16,12,12,630,18,18,1680,56,56,7560,210,90,6,90,30,6,6,4,10,2,2,12,8,68,22
,14,2,30,34,4,2,2,12,4,14,12,2,6,10,40,2,8,8,16,4,4,2,2,30,18,12,2,4,20,8,6,4,
4,4,2,12,6,8,4,4,2,4,2,2,14,6,12,4,12,2,6,8,2,2,2,6,4,2,2,210,46,4,6,6,50,12,
30,6,2,10,4,4,18,6,6,8,24,12,56,12,210,210,78,14,12,8,4,2,4,4,2,8,8,8,2,2,2,2,
2,140,48,12,14,2,2,2,2,12,12,2,2,4,4,4,4,2,2,14,2,4,6,6,6,6,2,2,4,2,4,4,8,2,2,
2,2,2,6,6,2,4,4,8,4,4,2,2,2,4,2,2,4,18,30,2,6,6,2,6,4,4,2,2,2,2,6,4,2,2,2,2,2,
2,210,14,90,6,12,12,8,12,4,2,6,2,2,2,6,14,4,2,10,6,6,2,2,2,2,2,4,2,4,2,2,2,4,2
,4,4,2,12,8,4,18,6,4,2,12,12,12,6,14,14,6,2,2,4,2,2,2,2,20,2,2,2,2,2,2,2,2,2,2
,2,4,4,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,4,4,2,4,2,4,2,2,2,2,2,2,2,2,2,6
,6,10,4,6,2,1680,210,4,2,6,2,2,2,2,2,8,4,2,12,2,6,6,6,6,2,12,12,4,2,14,6,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,4,2,4,2,2,4,2,2,2,2,2,4,6,4,2,2,6,2,6,2,2,2,2,2,2,2,2,2
,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,6,4,4,2,6,2,6,2,4,2,2,4,2,2,2,2,24,12,56,14,2,2
,2,6,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,30,6,2,2,2,4,
2,2,2,2,2,2,2,4,2,2,2,2,2,2,12,6,8,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,210,4
,4,6,2,2,2,2,2,2,2,2,2,2,4,2,2,2,12,14,2,2,2,2,2,2,2,6,6,2,2,2,2,4,2,2,2,2,2,2
,2],[360360,9072,1080,26460,630,18,8064,252,120,240,360,48,108,24,224,72,8,
1680,1736,210,252,42,6,456,36,18,30,240,120,24,36,24,224,72,24,24,16,12,8,4,8,
12,24,16,630,18,18,1680,72,72,7560,210,90,6,216,18,30,18,12,18,6,12,6,12,2,8,
84,36,6,30,6,18,2,6,10,2,14,4,6,6,18,14,2,30,120,24,12,8,4,8,4,4,12,12,12,8,4,
24,16,8,8,12,8,4,4,210,42,6,6,50,18,6,2,6,30,18,18,24,12,24,72,12,4,4,210,210,
54,18,4,2,2,4,4,2,2,14,6,4,2,2,6,6,2,180,18,6,6,12,6,12,6,36,4,4,6,14,2,2,2,6,
14,18,6,6,2,6,4,6,2,4,6,2,4,2,4,2,6,6,18,30,6,6,6,6,8,4,4,12,8,4,4,4,4,210,18,
2,90,6,4,12,2,2,18,18,18,6,18,6,10,6,6,2,2,6,6,6,6,2,2,6,6,6,2,24,12,4,4,4,4,4
,60,6,18,6,6,6,12,6,12,6,18,6,18,6,2,2,4,2,2,2,2,2,6,6,2,4,2,2,6,2,2,2,4,2,4,2
,2,2,2,4,2,2,2,2,2,2,2,4,2,6,6,6,6,2,2,2,2,2,18,6,6,6,2,1680,210,6,6,2,2,2,2,6
,6,2,4,4,2,6,6,6,18,6,6,12,2,6,18,2,6,2,2,6,6,2,2,2,2,6,6,2,2,2,2,6,6,6,2,2,2,
2,4,4,2,2,2,2,2,6,6,6,6,2,2,6,4,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,18,6,6,6,6,2
,2,6,6,2,2,2,2,72,18,6,2,2,2,2,2,2,6,6,6,6,4,2,2,2,6,6,6,6,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,30,6,2,2,2,6,6,2,2,2,2,2,2,6,6,2,2,2,24,6,12,6,4,2,2,6,6,2,2,2,2,2,
2,2,2,2,2,2,2,2,210,6,2,6,6,6,2,2,2,2,2,2,4,2,2,2,18,6,6,2,2,2,2,2,6,6,6,2,2,2
,6,2,2,6,2,2,2],[360360,15288,120,360,26460,630,18,7560,2100,80,200,24,56,24,8
,60,924,44,40,8,1680,3780,630,20,30,60,6,6,6,2,492,60,30,6,6,6,80,120,24,8,8,
24,8,24,20,840,60,24,8,8,12,12,4,40,100,8,8,8,4,8,28,20,12,630,18,18,1680,8,8,
7560,210,90,6,90,6,6,20,2,2,450,12,8,4,30,24,6,6,2,30,10,2,6,2,2,6,2,132,2,12,
4,6,6,8,24,4,6,2,2,30,8,8,20,8,4,4,4,4,60,8,12,4,4,4,4,4,8,20,8,4,4,8,12,16,8,
8,4,630,6,6,2,30,90,6,18,6,6,18,6,2,2,6,6,6,180,8,12,8,4,4,840,210,90,30,24,2,
6,6,2,2,90,6,2,2,6,2,2,2,80,30,24,6,2,2,2,2,2,6,6,2,2,2,6,6,2,4,2,2,10,6,6,2,2
,8,4,4,24,4,4,2,2,2,2,10,6,2,6,6,2,2,4,12,2,2,2,4,10,2,4,2,18,30,2,2,8,4,8,4,4
,4,4,8,4,4,4,210,2,2,90,6,90,30,6,2,18,6,6,2,2,2,6,2,2,2,6,2,6,2,2,6,2,6,6,6,6
,6,2,8,4,4,8,2,60,30,12,4,6,2,2,2,8,2,2,2,20,2,4,2,2,2,2,2,2,2,8,2,2,2,2,6,2,2
,2,2,2,2,6,2,2,2,2,4,2,2,4,2,2,2,2,2,2,4,2,4,2,2,2,4,2,2,10,2,2,2,2,2,2,6,18,6
,6,2,1680,210,30,2,2,2,2,2,4,90,6,2,2,30,6,2,2,6,6,6,2,6,6,6,2,2,2,6,2,2,2,6,2
,2,2,6,2,6,2,2,2,2,6,6,2,2,4,4,2,4,2,2,8,4,2,2,2,2,2,2,2,2,2,4,2,2,4,2,2,2,2,2
,2,2,2,2,18,6,2,2,6,6,2,6,6,2,6,2,2,180,30,12,6,8,2,2,2,2,6,6,6,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,30,6,4,2,2,6,2,2,2,6,2,6,2,2,2,6,2,2,8
,2,4,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,210,30,6,2,2,2,2,6,2,2,2,2,2,2,4,2,
2,2,30,6,2,2,2,2,2,2,2,2,6,2,2,2,2,2,6,2,2,2,2,2,2,2],[360360,12768,240,440,
26460,630,18,7560,1680,80,200,48,56,8,56,24,8,644,60,8,1680,2800,210,40,20,84,
12,10,4,432,116,20,6,30,12,2,60,200,48,4,4,12,20,8,4,12,630,70,42,6,18,18,14,2
,6,8,6,4,60,8,4,12,12,12,4,630,18,18,1680,8,8,7560,210,90,6,90,72,20,12,20,6,
14,2,2,2,280,12,20,24,10,14,2,2,2,24,4,4,2,2,12,4,2,10,2,2,14,4,6,6,6,26,2,30,
20,6,2,4,12,6,4,4,4,2,4,60,6,8,4,4,4,2,4,2,2,12,6,6,12,4,2,2,6,6,2,2,6,4,2,210
,10,4,20,70,12,30,6,4,2,2,10,4,4,30,6,6,2,120,24,8,4,4,630,210,20,42,2,12,4,4,
2,6,2,2,8,4,6,2,2,4,4,2,2,4,2,60,20,48,12,2,2,6,2,20,6,20,6,12,2,2,24,4,4,2,2,
2,4,2,18,6,6,6,10,2,4,2,4,2,8,4,2,2,4,2,2,4,6,6,18,30,2,2,4,4,2,2,6,2,2,2,4,6,
2,2,2,2,2,210,2,2,90,6,20,20,12,12,4,2,2,4,2,6,2,12,2,2,4,2,2,16,2,2,2,4,2,2,2
,4,2,4,6,2,2,2,6,6,6,2,8,4,4,6,6,2,4,2,2,20,6,60,20,12,12,6,2,2,2,6,2,2,4,2,2,
4,2,2,2,2,2,6,6,2,4,2,4,2,2,2,2,2,4,4,2,2,2,2,2,4,2,4,2,2,2,2,2,2,2,6,6,6,6,2,
2,2,2,2,6,6,10,4,4,2,1680,210,4,6,2,2,2,2,4,4,20,12,2,2,2,2,18,6,6,2,2,12,4,2,
2,2,2,2,2,2,2,6,2,2,2,2,2,2,6,2,2,4,2,4,4,2,2,2,2,2,2,2,4,4,2,2,2,2,2,6,2,2,2,
2,2,6,4,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,4,4,2,6,2,6,4,2,2,2,4,2,2,2,2,2,2,
120,20,24,12,8,2,2,2,2,6,2,4,4,2,2,2,2,2,2,6,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,30,6,2,2,2,4,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,8,2,4,2,4,2,2,6,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,210,4,4,6,2,2,2,2,2,2,2,2,2,2,4,2,2,2,20,12,2,2,2,2,2,2,2,2,6,2,
2,2,2,2,4,2,2,2,2,2,2,2],[360360,21336,120,1160,26460,630,18,7560,4872,240,
1160,120,120,24,24,320,60,1260,60,1680,4956,630,20,50,240,6,6,42,2,6,1032,68,
50,6,42,6,2,240,1160,24,24,24,24,24,120,120,120,320,60,1260,240,60,60,60,24,24
,24,240,60,24,24,630,18,18,1680,56,56,7560,210,90,6,90,240,20,18,68,6,6,14,2,6
,1032,20,20,20,50,240,18,6,6,14,14,68,68,6,6,6,6,42,6,2,2,6,18,2,90,6,6,18,30,
320,60,120,120,24,24,24,240,60,60,60,24,24,24,24,24,24,24,24,60,24,24,630,6,42
,2,6,6,50,150,6,18,6,6,18,6,2,2,6,2,2,42,6,6,2,300,12,12,56,12,1260,210,90,50,
60,14,6,6,6,2,2,90,6,6,6,6,18,6,6,6,6,240,50,24,6,14,2,6,2,68,6,20,6,6,18,6,6,
6,6,6,6,6,240,20,20,20,20,20,6,6,6,6,68,68,6,6,18,14,2,18,6,6,6,6,6,6,6,18,6,
18,6,6,6,6,6,6,6,6,18,30,2,6,6,2,120,24,24,60,24,24,24,24,24,210,14,90,6,150,
50,6,6,18,18,14,6,42,2,2,2,2,2,2,2,2,2,6,6,18,2,42,2,2,18,6,6,2,14,42,2,2,2,2,
2,2,6,6,6,18,2,2,12,56,12,60,6,24,6,6,14,2,20,6,240,50,24,24,6,6,6,6,6,60,14,
14,14,2,2,2,6,6,2,20,20,20,68,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6
,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,2,6,6,2,1680,210,30,2,6,6,2,2,
2,2,24,90,6,6,2,2,50,6,6,6,14,18,2,18,6,6,2,2,18,6,6,2,2,14,6,42,14,2,2,2,2,2,
2,2,18,18,6,6,6,2,6,2,2,18,6,2,2,12,24,6,20,6,60,24,24,14,6,6,6,6,6,6,2,6,6,6,
6,6,6,6,6,6,6,6,6,6,18,6,2,2,6,6,2,6,6,2,6,2,6,6,2,2,6,2,2,2,2,6,2,300,50,12,6
,56,14,6,2,2,2,2,6,6,2,18,6,6,6,6,2,2,2,2,2,2,6,2,2,2,18,6,2,14,6,6,6,6,2,2,2,
6,2,6,2,2,2,6,2,6,2,2,2,6,2,30,6,24,6,6,6,2,2,2,6,2,6,2,2,2,6,2,6,2,2,6,2,2,2,
2,2,2,2,2,2,2,12,6,56,14,12,6,2,6,2,6,2,6,2,6,2,2,2,2,2,2,2,6,6,6,6,2,210,30,6
,2,2,6,2,6,2,2,2,6,2,2,2,2,2,2,2,2,2,2,12,6,6,2,50,6,14,6,2,2,2,2,2,2,2,2,2,2,
6,6,14,6,2,2,6,2,2,2,2,6,2,2,2,2,2,2],[360360,6048,240,1080,6300,189,36,45,504
,196,80,280,48,48,40,24,124,44,8,672,40,40,280,504,119,40,45,128,9,15,19,3,9,
12,156,60,15,9,33,3,3,20,16,12,12,12,24,32,8,4,16,42,30,22,34,6,10,22,10,2,4,8
,6,40,140,4,8,24,4,4,84,15,12,18,6,280,28,28,504,70,6,9,10,3,4,2,2,6,9,10,3,10
,13,4,8,14,7,1,3,1,6,16,4,8,15,36,10,10,6,21,7,18,14,4,3,1,9,3,3,3,1,19,12,3,1
,3,3,7,3,156,3,4,3,1,4,36,4,3,1,1,25,4,2,12,6,4,20,8,2,4,4,4,2,4,2,8,4,4,2,4,2
,2,6,14,4,12,4,6,2,8,6,18,2,2,12,6,2,84,15,12,3,4,6,2,3,8,5,5,9,9,1,1,8,2,6,12
,3,3,90,4,6,4,6,4,28,6,2,2,42,6,30,22,6,10,3,2,2,2,3,1,6,10,2,2,4,10,3,1,2,14,
2,3,1,1,1,4,3,1,1,1,20,16,14,2,2,1,2,2,4,1,3,4,2,4,4,2,4,4,4,4,2,9,3,3,3,1,3,1
,1,1,6,2,3,6,7,7,1,4,4,3,1,6,2,4,1,1,1,4,36,2,3,1,1,2,1,1,4,4,3,1,1,2,4,6,1,1,
4,2,2,1,4,2,2,1,6,25,4,1,9,4,9,4,1,2,4,4,2,2,2,6,2,4,2,2,2,2,6,2,6,9,3,3,3,10,
3,4,4,4,2,8,5,3,1,1,1,1,9,3,4,1,4,1,3,2,3,4,1,12,3,3,1,4,1,3,3,1,1,1,3,1,1,4,1
,3,3,3,3,12,1,1,4,6,4,28,2,6,2,2,2,2,2,4,2,2,2,2,6,4,2,2,2,4,4,6,6,14,2,2,1,4,
2,2,2,2,20,2,2,2,2,1,3,6,2,4,4,2,2,1,3,1,1,1,1,1,6,2,2,2,1,1,2,2,2,4,2,2,4,2,2
,2,2,2,2,4,1,1,4,2,2,1,2,2,2,2,2,1,4,2,2,1,2,2,2,2,6,6,2,2,2,35,25,1,4,1,1,9,1
,9,1,4,1,1,1,1,1,1,2,6,10,3,2,2,3,1,1,1,1,3,4,1,4,3,1,4,6,1,3,2,3,4,3,1,6,4,1,
3,1,12,3,3,1,1,1,1,1,4,1,1,1,1,3,2,2,1,3,3,1,4,1,3,1,1,3,4,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,4,2,2,6,2,2,2,4,4,4,2,2,2,4,2,2,2,6,2,2,2,6,2,2,2,2,2,2,2,2,2,2
,2,2,2,1,4,2,2,2,2,2,2,6,3,4,2,2,2,2,15,3,7,4,1,1,2,1,2,1,9,1,1,1,1,1,1,1,1,1,
1,1,2,2,2,2,2,2,4,2,3,1,1,6,2,1,1,1,1,2,1,1,3,1,4,2,2,1,2,2,2,2,2,2,2,2,1,2,2,
1,1,1,1,1,1,1,1,1,1,1,1,2,5,2,1,4,4,2,2,2,3,4,3,3,4,2,1,1,1,1,1,3,1,7,3,1,4,1,
1,2,1,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,1,2,2,2,2,2,2,2,2,2,2,1,5,1,3,2,3,1,1,
4,1,1,2,3,4,1,1,1,1,1,1,1,1,3,1,1,1,1,2,1,2,2,2,2,1,1,1,1,3,1,1,1,1,1,1,1,1,1,
2,2,2,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,1,1,1,1],[360360,21168,1080,
18900,1134,72,3024,4956,40,200,1080,180,36,812,36,40,280,4704,1134,240,54,12,
1116,36,54,200,1080,40,180,36,812,200,36,36,36,40,12,12,40,200,12,36,1134,72,
72,280,28,28,3024,216,40,18,4,216,240,18,4,6,36,8,1116,240,56,36,36,18,54,8,6,
216,8,2,56,4,2,25,4,40,180,36,40,40,12,12,12,40,200,12,12,12,12,36,36,36,12,36
,12,12,1134,54,12,12,270,6,72,12,54,90,4,6,4,6,4,28,6,2,2,812,216,36,40,8,2,
216,56,8,8,8,8,4,2,2,200,8,36,8,4,56,240,18,36,36,8,8,6,56,2,8,4,56,8,2,56,8,4
,2,8,4,4,8,72,25,4,1,9,4,9,4,1,40,12,12,12,36,12,12,12,12,216,18,18,18,4,270,6
,6,54,2,12,18,6,54,18,6,54,2,6,18,2,2,4,6,4,28,2,6,2,2,2,2,2,4,40,36,4,40,4,4,
200,36,12,8,4,40,36,8,12,56,8,8,8,2,4,4,4,4,8,8,4,4,4,4,8,4,4,8,4,8,4,4,72,12,
12,280,25,1,4,1,1,9,1,9,1,4,1,1,1,1,1,1,12,216,8,2,2,2,18,6,56,2,18,4,56,18,2,
18,54,2,2,6,6,8,18,2,18,2,2,6,2,2,2,2,2,2,2,2,2,4,2,2,6,2,2,2,4,4,4,40,40,12,
12,36,4,12,4,12,4,12,4,4,8,4,4,4,4,72,18,12,12,90,6,28,4,1,1,2,1,2,1,9,1,1,1,1
,1,1,1,1,1,1,1,40,4,4,4,56,8,2,2,4,6,2,18,2,8,4,4,8,4,8,2,2,2,2,2,2,2,2,25,4,1
,4,4,12,4,18,18,12,2,2,2,4,6,4,28,2,6,4,2,1,2,1,2,1,1,1,1,1,1,40,4,12,4,4,8,4,
4,4,4,4,2,25,1,9,4,9,1,1,4,1,1,4,18,2,2,2,2,4,2,2,6,2,2,2,2,1,4,12,4,4,1,1,9,1
,1,1,1,1,1,1,1,1,1,4,4,2,2,4,4,4,1,2,2,1,1,1,1,1,1,1,1,4,1,4,2,1,1,1,1,1],[
360360,16800,240,1016,15120,441,18,2520,3696,144,840,48,40,24,200,48,8,532,60,
8,280,3024,441,80,11,192,3,6,33,2,6,672,80,11,6,33,3,2,100,840,16,12,12,12,180
,8,4,28,490,122,30,18,38,22,10,6,6,8,6,4,100,8,4,12,28,4,12,441,18,18,280,16,
20,16,20,2520,60,3,60,168,3,8,15,48,12,12,5,2,3,1,672,32,8,11,168,28,12,12,5,5
,56,48,1,1,3,3,3,3,3,33,12,2,2,6,15,2,60,3,12,1,12,28,1,3,10,1,180,18,6,4,12,6
,4,4,4,2,4,100,6,8,4,4,4,2,4,2,2,28,18,18,4,12,6,6,6,18,2,6,6,4,2,441,6,33,2,6
,6,11,111,3,15,6,6,18,6,2,2,6,2,2,33,6,6,2,70,10,4,6,4,16,20,4,4,6,2,2,490,60,
30,3,4,1,60,8,4,16,3,3,12,4,4,8,1,1,1,1,1,1,100,16,4,1,48,4,4,1,3,16,4,8,8,4,
168,8,3,3,3,3,3,1,1,1,1,48,48,4,8,15,5,2,16,8,1,3,8,1,1,8,16,1,1,3,8,1,28,12,4
,4,1,1,3,4,1,4,4,1,4,4,1,18,10,1,2,1,1,4,1,1,4,1,2,1,4,4,2,2,18,2,2,6,4,6,2,2,
2,2,2,21,5,1,60,3,3,3,111,11,3,3,15,15,5,6,33,2,2,2,2,2,2,2,2,2,1,1,6,6,3,15,2
,33,3,2,2,15,6,6,2,5,33,2,2,2,2,2,2,6,6,3,1,1,15,2,2,3,3,1,1,4,6,20,4,4,4,2,6,
2,2,2,2,2,1,18,4,100,4,18,6,1,4,4,4,48,4,4,1,3,6,8,4,4,16,3,1,1,1,1,1,1,4,4,8,
1,4,4,4,4,1,1,4,4,1,4,4,1,4,4,1,6,18,6,6,2,6,6,2,280,10,1,2,1,4,1,1,4,1,1,1,2,
1,2,1,2,1,2,1,2,60,3,4,1,1,1,11,3,3,3,5,1,1,1,3,15,2,16,1,3,3,3,16,1,1,3,1,3,5
,1,3,3,3,33,5,2,2,2,2,2,2,2,1,1,15,15,3,3,1,1,6,2,4,1,3,3,1,1,3,3,1,1,1,1,15,3
,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,4,2,6,2,2,2,2,1,1,1,1,1,1,1,4,2,18,2,2,6,2,4,4,
1,18,6,2,2,6,6,2,3,6,6,2,6,2,6,6,2,2,6,2,2,2,2,6,2,70,10,16,20,4,1,1,2,1,1,2,1
,2,1,2,1,3,3,16,1,1,1,3,4,1,1,15,3,1,1,2,3,3,3,1,1,1,1,3,3,1,1,5,1,1,1,1,1,3,3
,3,4,1,4,1,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,10,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,2,6,2,2,2,6,2,3,3,3,6,2,2,2,6,1,2,1,6,2,2,6,2,2,2,2,2,2,2,2,1,1,2,2,
6,4,4,20,4,2,6,4,2,2,1,1,3,3,1,4,1,1,1,1,1,1,1,1,1,1,1,1,10,1,2,1,4,1,1,4,1,1,
2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,6,2,1,1,2,2,1,1,2,2,2,1,1,1,1,2,2,2,2,
4,2,6,2,2,2,2,1,1,4,1,1,2,1,1,2,1,2,1,2,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,2,2,1,1,
1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[308880,15552,720,
37800,1260,15552,1260,240,240,240,108,36,1260,108,5040,5040,1260,216,36,360,72
,36,180,240,240,36,36,1260,108,36,36,36,36,36,1260,5040,72,72,15120,1260,180,
360,36,24,24,24,180,72,72,36,12,36,36,12,180,12,12,240,36,36,36,36,36,36,1260,
36,36,180,36,72,72,72,180,1260,1260,180,108,36,12,180,12,12,12,12,120,36,12,24
,24,72,36,12,12,12,12,12,12,36,1260,36,180,36,36,36,72,12,12,12,120,36,12,24,
36,36,36,36,12,12,12,12,12,12,12,12,5040,1260,180,12,36,36,36,12,12,12,36,36,
12,12,180,36,72,36,36,12,12,12,180,72,36,12,12,12,12,1260,12,12,36,36,180,12,
12],[308880,15552,720,37800,1260,15120,1272,120,240,96,144,12,1260,108,5040,
5040,1260,216,36,360,72,36,180,120,48,48,12,1260,108,36,36,24,36,24,1260,5040,
72,72,15120,1260,180,180,12,36,12,24,12,12,180,48,72,36,36,36,12,180,12,12,12,
24,36,24,12,12,12,1260,36,36,180,36,12,72,12,180,1260,1260,180,108,36,12,180,
12,12,12,12,120,36,12,12,12,12,24,24,12,12,12,12,12,12,12,1260,36,180,12,36,12
,12,24,12,12,12,12,12,12,24,12,36,36,12,12,12,12,12,12,12,12,5040,1260,180,12,
12,36,12,12,12,12,12,12,12,12,180,36,72,36,12,12,12,12,180,12,12,24,12,12,12,
1260,12,12,36,12,180,12,12],[308880,15264,240,37800,1260,15120,1260,40,80,36,
1264,48,16,5040,5040,1260,72,12,240,24,12,180,40,12,1260,36,12,12,16,4,16,8,
1260,5040,24,24,15120,1260,180,180,8,4,180,24,12,4,12,180,12,8,4,12,4,4,4,8,4,
12,4,4,8,4,1260,12,12,180,12,8,24,4,4,180,1260,1260,180,36,12,4,180,4,4,4,40,
12,4,4,4,8,4,4,8,4,4,4,4,4,4,1260,12,4,180,12,4,4,8,4,4,4,12,12,4,8,4,4,4,4,4,
4,4,4,4,4,4,4,5040,1260,180,4,12,4,4,4,4,4,4,4,4,4,180,12,24,12,4,4,4,4,180,8,
4,4,4,4,4,1260,4,4,12,4,180,4,4],[308880,21312,720,37800,1260,15120,4032,280,
720,120,36,2100,36,5040,6720,1260,120,144,12,960,24,120,12,180,280,720,120,36,
2100,280,36,36,36,280,36,1260,5040,72,72,15120,1260,180,180,144,24,4,12,960,
120,144,24,12,12,24,24,12,4,180,4,24,24,4,120,36,280,36,36,36,36,1260,12,120,
120,12,540,12,12,72,12,180,2100,1260,180,120,36,12,4,180,24,4,4,4,4,280,120,12
,4,24,4,24,144,24,24,4,4,12,24,4,24,4,24,4,4,4,4,36,1260,12,180,120,120,12,12,
12,12,12,12,72,12,24,4,36,12,280,120,36,12,12,12,4,24,4,24,4,4,4,4,4,4,4,4,
5040,1260,180,4,120,12,24,24,12,12,12,4,12,4,36,12,4,540,120,12,72,12,24,4,12,
4,4,4,180,12,72,12,12,4,4,1260,12,120,12,12,180,24,4,4],[308880,18288,240,528,
37800,1260,15120,2520,160,336,48,112,48,16,72,1680,48,5040,5880,1260,120,60,
120,12,12,600,72,60,12,12,180,160,240,48,16,16,48,16,48,24,1680,120,48,16,16,
24,24,8,120,16,24,8,1260,5040,48,48,48,48,15120,1260,180,180,36,36,24,4,4,540,
72,48,24,60,64,12,12,4,36,12,4,12,4,4,12,180,4,12,12,12,12,4,16,16,120,16,24,8
,8,8,8,8,8,1260,12,60,60,12,12,12,360,24,16,48,16,16,48,180,1680,1260,180,60,
48,12,12,4,180,12,4,4,12,4,4,4,160,60,48,12,12,4,4,12,12,12,4,4,4,36,36,12,24,
12,4,12,12,12,4,4,12,4,4,12,12,12,4,4,4,4,4,8,1260,12,180,60,60,12,4,12,4,12,4
,4,16,24,24,8,8,12,12,4,16,4,120,60,24,8,12,4,4,4,16,12,4,12,4,12,4,4,4,4,4,4,
12,4,4,4,4,4,5040,1260,180,4,60,12,4,4,12,12,12,12,12,4,4,4,8,4,8,4,4,360,60,
24,12,48,48,12,12,12,4,4,4,4,4,4,180,16,24,24,8,8,4,4,4,1260,8,60,12,12,4,180,
12,12,4,4],[308880,15264,480,336,37800,1260,15120,1260,48,80,96,112,16,60,12,
16,1260,60,5040,5040,1260,240,96,24,12,240,120,12,24,180,40,96,8,8,24,12,16,8,
4,1260,60,12,12,24,24,4,8,8,4,12,24,1260,5040,96,24,96,24,15120,1260,180,180,
24,8,12,12,4,180,96,24,24,4,36,12,36,4,8,4,4,24,12,8,180,4,24,24,4,4,8,4,4,4,8
,4,4,12,24,4,1260,12,24,24,12,180,36,8,96,24,8,8,180,1260,1260,180,60,12,24,4,
180,24,4,4,4,4,40,96,24,12,4,4,4,24,4,8,8,4,24,8,4,4,4,4,24,4,24,4,24,4,4,4,4,
4,1260,12,180,24,24,4,4,12,4,4,8,24,8,4,4,24,4,8,4,24,24,12,12,4,4,4,8,4,4,4,
24,4,4,4,4,4,4,4,4,5040,1260,180,4,24,4,24,24,12,4,4,4,4,4,4,4,4,180,36,24,96,
24,12,24,4,4,4,4,4,180,8,24,4,4,8,4,4,4,1260,4,24,12,4,180,24,4,4],[308880,
15264,240,37800,1260,15120,1260,40,80,36,1344,48,80,5040,5040,1260,72,12,240,
24,12,180,40,12,1260,36,12,12,80,40,12,24,1260,5040,24,24,15120,1260,180,180,8
,4,180,24,12,4,12,240,12,8,24,8,12,4,40,12,12,12,12,24,12,1260,12,12,180,24,12
,24,4,4,180,1260,1260,180,36,12,4,180,4,4,4,40,12,4,4,4,24,12,4,8,4,8,4,4,12,
1260,12,180,12,12,12,24,4,4,4,12,12,4,40,12,12,12,4,8,4,4,4,4,4,5040,1260,180,
4,12,12,12,4,4,4,12,12,4,180,12,24,12,12,4,4,4,180,24,12,4,4,4,4,1260,4,12,12,
180,4,4],[308880,2160,720,48,10800,252,216,2160,16,48,48,48,16,8,8,240,240,240
,12,36,24,48,36,12,48,16,16,8,8,8,8,8,8,8,72,240,48,48,2160,4,36,4,12,36,16,48
,16,12,12,8,8,4,12,16,8,8,8,8,24,12,12,16,48,16,8,8,12,6,6,4,4,4,8,48,4,16,12,
8,8,8,4,12,12,12,8,2,36,4,12,16,8,8,8,8,4,2,16,4,4,4,4,8,8,240,4,12,6,2,4,4,12
,4,8,4,4,4,4,8,2,48,4,4,4,2,4,4,2,12,2,16,8,4,4,4,2,12,2,8,2,2,4,2,2,2,4,2,2,2
],[308880,5184,720,342,108,3024,144,120,240,32,72,12,84,36,240,114,18,12,54,12
,120,16,24,12,84,36,12,12,8,12,8,36,240,24,24,144,18,27,18,8,6,18,18,6,18,6,2,
6,4,12,12,8,12,8,4,4,4,4,12,24,4,24,24,4,4,4,12,6,6,84,6,12,2,3,2,2,2,24,6,6,6
,6,2,2,4,12,4,4,4,2,9,18,4,24,4,4,4,4,4,4,4,2,12,6,8,8,6,4,12,2,2,4,2,30,4,3,4
,6,2,1,2,6,3,6,3,4,4,4,4,4,2,4,2,6,4,3,4,1,4,1,2,8,6,2,1,6,6,2,6,2,2,4,1,4,2,4
,2,2,2,2,3,2,3,2,1,1,2,2,1,1,2,1],[308880,5184,720,10800,252,216,5184,84,240,
240,240,36,12,84,36,240,240,84,72,12,12,360,36,12,240,240,12,12,84,36,12,12,12
,12,12,72,240,24,24,2160,84,18,24,54,12,12,360,24,36,24,24,8,12,12,8,24,4,12,
240,12,12,12,12,12,12,4,24,12,24,4,24,24,4,4,4,12,6,6,84,6,12,2,4,2,8,4,120,12
,6,24,12,4,24,4,4,4,12,4,4,12,2,24,36,9,4,24,4,4,4,4,4,4,4,2,120,12,12,6,12,12
,12,12,2,2,12,4,240,4,3,4,6,2,4,1,24,3,12,4,3,4,4,4,4,12,2,12,2,24,4,3,4,1,4,1
,2,12,6,4,1,6,12,2,24,4,4,4,1,4,12,2,2,4,2,4,3,2,4,3,1,1,2,4,1,1,2,1],[308880,
2160,240,16,10800,252,216,2160,8,16,16,24,8,240,240,80,16,4,36,12,4,12,8,16,8,
8,8,8,72,240,16,16,2160,2,36,2,6,36,8,4,4,16,8,4,12,8,8,8,12,8,4,8,16,8,12,6,6
,16,2,2,2,4,2,2,8,4,8,8,4,12,4,4,8,2,36,2,4,8,8,8,4,2,8,2,2,2,2,8,1,240,2,4,6,
2,2,2,4,2,8,4,4,4,8,2,2,2,1,16,2,2,2,2,2,2,1,1,1,12,2,1,8,2,4,1,2,1,1,4,2,8,1,
1,1,1,1,1,2,1,1,2,2,1,1,1,1],[300300,1260,300,140,12600,840,27,96,1260,80,20,
20,4,28,28,4,40,16,20,4,20,12,9,1,120,56,20,24,12,8,3,70,20,28,4,4,20,4,4,16,4
,4,14,16,4,4,4,14,20,10,4,4,4,4,2,2,2,2,2,10,4,4,2,2,2,840,96,96,3,3,1260,120,
20,24,8,1,1,4,120,24,32,8,8,4,4,1,4,4,3,1,8,20,14,16,4,4,4,4,4,4,4,4,14,10,2,2
,2,10,2,2,2,2,2,4,2,2,2,2,4,2,2,2,2,4,2,2,2,2,4,2,2,2,20,12,8,8,1,24,8,10,2,1,
1,1,1,20,28,10,8,2,4,4,4,1,1,1,1,2,28,8,8,4,4,1,8,4,4,96,3,3,14,4,4,4,10,2,2,2
,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,120,24,24,24,8,1,24,4,4,20,16,4,8,4,4,2,2,1,1
,20,8,1,4,4,8,2,2,1,1,1,1,1,1,4,4,4,8,1,4,2,2,2,2,2,2,4,4,4,1,8,4,4,4,3,10,2,1
,1,14,2,4,4,10,2,4,2,2,1,4,1,2,2,4,4,2,24,2,20,8,8,4,1,8,8,1,4,4,4,1,2,2,1,1,2
,2,2,2,4,10,2,4,1,4,2,2,4,4,2,1,2,2,2,8,4,4,1,4,2,2,1,4,2,2,2,1,2,4,1,1,1,2,1,
1],[288288,4032,480,21168,2016,144,4032,160,160,160,448,8,448,96,16,528,48,48,
160,160,2016,144,144,448,32,8,32,4032,528,160,48,16,528,48,16,16,16,32,32,88,
16,8,160,16,88,24,16,16,48,32,32,32,160,16,16,16,32,8,144,88,16,8,8,8,8,8,528,
48,48,48,16,8,48,8,8,32,16,160,16,160,16,16,8,8,16,16,448,8,32,8,8,8,8,8,32,8,
16,8,8,16,8,8,8,48,8,32,32,8,8,160,16,16,16,16,8,8,88,16,8,8,8,8,32,8,8,8,8,8,
16,16,8,32,8,8,8,8,8,8,8,8],[270270,1890,362,390,630,54,210,210,60,30,18,26,24
,16,12,6,22,36,30,18,30,36,12,18,6,30,18,2,2,210,30,8,4,30,8,8,4,8,2,2,2,6,14,
14,2,10,6,12,30,12,30,8,8,2,10,6,10,2,2,2,4,4,30,2,30,30,2,2,2,2,6,4,8,10,2,4,
2,18,10,6,2,210,30,6,6,6,6,6,2,6,2,4,6,2,18,2,6,14,6,2,4,2,2,2,4,6,6,4,4,2,2,2
,2,4,4,6,30,30,6,2,2,2,2,2,2,2,2,4,4,2,2,2,10,2,2,4,4,4,4,4,30,2,2,2,2,2,2,2,4
,2,2,2,2,2,2,2,18,2,2,2,12,12,4,4,6,6,2,2,2,2,6,6,2,2,30,30,2,6,2,2,2,2,2,2,2,
2,2,30,2,2,2,30,2,2,2,6,4,4,2,2,2,2,2,2,6,2,2,2,6,4,4,2,2,2,2,2,2,2,4,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,6,2,6,2,4,6,2,2,4,2,2,2,2,2,2,2,2,6,2,
2,2,2,6,2,2,2,6,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,6,6,2,2,2,30,2
,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,4,2,2,6,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2],[270270,2646,390,686,9450,126,108,
1890,42,14,74,62,54,38,50,18,42,66,30,22,210,42,62,6,210,210,130,60,90,36,4,6,
90,74,2,18,6,2,14,30,2,26,14,10,6,6,2,6,6,18,6,6,10,6,6,14,14,10,2,6,14,14,20,
36,16,4,2,12,8,2,2,2,2,2,8,14,2,10,2,4,6,6,6,2,2,2,2,62,30,2,6,6,6,2,6,2,6,6,2
,2,2,2,2,2,2,36,210,26,6,26,6,1890,42,12,2,18,6,2,6,12,18,14,12,2,6,8,2,2,26,6
,18,6,12,12,8,18,2,12,8,14,4,6,2,2,90,18,2,2,2,6,6,2,6,14,6,14,6,4,2,2,2,6,2,4
,2,14,30,6,6,6,2,4,2,2,2,4,2,2,2,2,14,2,6,2,2,10,6,2,2,4,2,2,2,2,6,6,2,2,6,4,4
,2,2,4,6,6,2,2,6,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,36,2,6,6,4,
4,2,6,12,2,14,2,2,4,26,2,2,6,4,4,14,2,2,2,20,36,4,12,18,6,2,2,2,12,2,12,18,8,2
,2,2,2,2,2,2,2,2,2,30,2,26,2,6,6,2,2,2,2,2,2,2,14,2,2,2,2,6,4,4,2,2,4,2,2,4,14
,14,2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,2,6,2,2,6,2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,6,2,2,14,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,4,2,2,2,4,2,2,2,2,2
,6,2,2,2,2,2,2,2,2,6,2,2,2,2,6,2,2,2,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,18
,2,4,2,6,2,2,2,2,14,2,2,14,2,2,2,14,4,2,2,2,2,2,6,4,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,6,6,14,2,2,2,4,2,2,2,6,2,4,4,2,6,2,6,2,2,2,2,30,6,2,2,14,2,2,2
,2,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,210,6,2,2,2,2,2,2,2,2,6
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
12,18,2,2,4,2,4,2,2,2,2,2,2,2,2,14,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,14,2,2,2,2,6,6,4,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,12,26,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,4,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,14,2,2,4,6,2,4,2,2,2,2,2,2,2,2,2,6,2,2,2,2
,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,14,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2],[270270,4158,750,590,9450,126,108,4158,42,206,198,198,54,158,158,54
,78,18,6,62,42,18,10,10,210,210,42,250,6,54,18,6,12,6,270,50,2,18,6,2,14,198,2
,158,2,54,54,2,198,54,54,62,54,6,2,54,6,14,62,54,54,54,6,14,42,2,18,6,6,10,6,6
,2,6,10,10,10,10,6,6,6,6,2,6,6,2,2,2,2,2,2,6,2,2,10,2,6,6,6,2,10,2,6,6,6,36,
210,50,18,50,18,1890,42,12,2,18,6,2,6,270,12,18,26,18,18,2,2,50,54,18,2,18,18,
54,18,4,26,6,2,6,6,2,2,6,6,2,4,10,12,10,6,198,14,6,62,54,54,54,54,2,54,2,2,54,
54,54,14,2,2,6,2,2,2,2,2,2,2,6,6,6,2,2,6,6,6,6,2,2,2,2,2,2,2,2,2,6,2,2,2,6,6,2
,2,2,2,2,2,2,2,2,2,6,6,6,2,6,10,6,6,6,6,10,6,6,6,6,10,6,6,6,6,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,6,10,2,2,2,2,2,2,6,6,6,2,2,12,2,12,6,6,4,2,18,26,18,2,18,50,18,
18,18,18,18,18,26,2,10,2,10,2,42,2,2,2,6,6,4,2,2,2,2,2,4,2,4,2,6,6,10,90,2,50,
2,6,6,2,2,2,2,2,2,2,14,2,18,18,2,18,54,18,18,18,4,18,2,14,26,18,18,18,2,6,6,2,
2,2,2,2,2,2,2,12,10,2,6,4,10,2,2,6,4,10,6,2,2,2,6,2,2,2,6,2,6,2,6,2,6,2,2,14,
54,2,54,54,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,6,6,6,2,2,2,2,2,2,2,2,2,2,6,6,6
,6,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,6,10,6,6,6,6,6,2,2,2,6,2,2,2,2,2,2,2,2,2,6,2,
2,2,2,2,2,2,6,6,6,2,2,2,2,2,2,12,18,2,6,4,2,2,2,2,2,14,2,18,18,18,26,18,18,18,
14,18,18,18,18,18,2,2,2,2,2,2,6,2,2,6,10,2,2,6,10,2,2,2,6,2,10,2,2,6,2,2,2,2,6
,6,10,90,6,6,26,2,18,2,18,2,2,2,6,2,18,2,6,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,14,2,18,18,18,18,2,2,6,10,4,2,2,10,6,6,2,2,6,2,2,6,2,2,6,6,2,2,2,2,6,2,2,6,
2,2,6,2,2,6,2,2,2,6,2,2,2,2,2,2,2,210,2,2,6,2,2,2,2,2,2,54,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,6,2,2,2,6,2,2,2,2,2,6,6,6,6,2,2,2,2,2,2,2,2,2,4,2,2,2,12,
2,2,2,4,6,6,2,2,2,2,2,2,2,2,14,2,18,18,18,18,18,2,2,2,6,2,2,6,2,6,2,2,2,2,2,6,
6,2,2,6,2,2,6,2,2,2,2,6,2,2,2,2,2,10,6,6,2,2,2,2,2,6,2,2,2,2,2,2,14,2,2,18,2,
18,18,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,6,2,6,2,6,10,2,6,2,2,2,2,6,2,2,2,2
,6,2,2,6,2,2,2,2,6,2,2,2,2,2,2,2,2,50,18,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2
,2,2,2,2,2,2,2,2,6,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,18,2,6,2,6,2,2,2,2,2,6,2,
2,6,2,2,6,2,2,2,2,6,2,2,2,2,2,2,2,6,2,2,2,18,2,2,2,2,2,2,6,2,2,2,6,2,6,2,2,2,2
,2,2,2,2,18,26,18,2,18,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,
2,2,6,2,2,2,2,2,2,2,2,2,6,2,2,2,2,6,2,2,2,2,2,2,2,14,2,18,18,2,2,2,6,2,10,2,2,
6,2,2,2,2,2,2,2,2,2,2,2,2,2,18,2,2,6,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2
,2,2,2,2,2,2,2],[270270,7686,390,286,9450,126,108,1890,1302,14,34,262,30,54,50
,10,42,70,6,22,210,18,2,10,210,1050,130,30,150,34,22,36,30,6,4,14,30,262,26,2,
2,6,2,2,6,6,18,6,30,30,30,70,14,14,10,2,6,6,14,210,30,6,6,10,2,14,2,2,2,2,2,2,
2,2,2,2,10,2,6,6,2,2,2,2,2,30,2,10,2,2,2,2,6,2,6,6,6,2,2,2,36,210,26,6,26,6,
1890,42,12,2,18,6,2,6,30,18,14,10,18,10,4,10,4,6,2,150,34,10,10,30,12,4,10,10,
14,4,2,12,2,6,6,6,70,14,6,14,6,4,2,30,30,2,2,2,4,2,14,2,2,4,4,2,4,2,4,4,6,2,2,
30,2,2,10,2,2,2,2,2,2,2,6,6,6,2,6,2,2,2,2,2,2,2,2,6,6,6,2,6,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,6,2,2,2,2,2,2,2,2,2,2,12,
12,4,12,4,30,2,4,14,2,2,4,26,2,2,6,4,4,14,2,2,2,210,6,4,4,2,2,2,2,2,30,22,26,2
,6,10,4,4,2,2,2,2,2,2,14,10,10,2,2,6,4,30,10,10,10,10,10,14,14,2,2,2,10,10,2,2
,2,2,4,2,6,6,2,2,2,2,4,2,2,2,2,12,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,30,14,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,6,6,4,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,
2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,12,18,2,4,4,4,12,4
,14,2,2,14,2,2,2,14,4,2,2,2,2,2,6,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,
6,14,2,2,6,6,10,4,4,2,2,2,6,2,10,30,2,2,6,4,14,10,10,10,10,2,2,6,2,2,4,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,210,2,2,6
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,6,6,12,4,4,2,2,4,4,2,2,
4,2,14,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,14,2,2,2,6,2,4,2,10,6,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,30,2,26,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,4,2,4,4,4,4,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,14,2,2,4,4,
6,2,2,2,2,2,2,2,2,2,2,2,2,6,2,4,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,14,2,2,4,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2],[270270,5670,486,670,945,315,27,3780,420,130,180,270,54,134,84,36,76
,30,26,210,34,50,10,5,105,105,81,75,21,27,9,9,9,3,45,25,25,27,27,9,1,70,180,70
,84,12,36,36,12,90,30,14,54,36,14,26,18,18,18,30,210,40,34,18,18,50,16,16,8,30
,10,10,12,4,6,6,6,6,2,10,2,10,40,30,2,2,10,6,12,18,16,8,6,6,4,9,5,1,1,105,3,10
,1,45,27,3,9,13,7,9,9,3,9,7,1,5,3,15,25,21,9,25,9,9,21,9,21,7,7,3,13,9,3,15,9,
5,5,3,9,3,9,1,9,3,3,1,15,3,3,5,3,1,7,3,5,3,1,1,5,90,16,14,30,6,14,36,12,12,18,
18,18,10,10,30,4,4,4,2,2,2,2,2,2,2,2,6,6,10,40,30,4,12,12,12,2,2,2,2,6,6,6,6,6
,2,6,6,2,2,6,6,10,18,10,16,8,8,8,8,4,4,8,6,10,6,6,6,6,10,2,2,2,2,2,12,10,2,6,6
,4,8,6,2,4,4,2,2,4,2,2,4,2,4,2,9,9,1,3,3,3,3,3,3,9,1,1,1,1,105,25,10,10,9,9,3,
3,2,2,1,1,1,15,7,3,3,1,3,3,1,3,3,3,1,3,1,1,1,3,3,3,1,3,5,3,1,1,1,25,10,9,9,3,1
,2,2,1,7,1,9,3,9,3,3,3,9,21,3,9,9,9,3,3,3,7,3,9,1,3,7,13,9,9,9,9,3,5,3,3,9,3,3
,3,1,3,9,3,3,3,7,1,10,1,3,7,3,3,5,3,1,1,3,3,1,1,1,1,7,3,3,3,5,1,3,3,1,1,1,3,1,
1,3,7,3,3,5,3,1,1,3,3,1,1,1,1,1,1,3,3,1,3,1,1,1,3,3,3,1,1,1,1,1,5,1,6,18,12,10
,2,2,2,30,10,4,4,6,6,6,2,2,2,2,2,2,2,2,2,2,2,10,10,4,2,2,2,2,2,2,4,6,2,2,12,10
,2,2,6,6,6,6,6,6,4,4,4,4,8,6,4,2,2,2,4,2,2,2,2,2,2,6,4,4,2,2,2,2,2,2,4,2,2,2,4
,2,2,2,4,2,2,2,2,2,3,1,3,3,3,3,3,1,3,1,1,3,1,9,1,9,9,1,1,1,3,3,1,1,3,3,3,3,1,1
,3,3,1,1,1,3,3,3,5,7,1,3,2,1,9,3,25,9,5,5,5,3,3,9,7,7,10,3,3,2,2,2,2,2,3,1,1,3
,1,1,1,1,1,7,1,3,1,1,3,9,9,9,9,3,3,3,3,3,1,3,1,1,1,1,7,3,3,3,3,3,3,1,1,1,1,3,5
,3,3,1,3,1,1,1,1,1,1,1,1,3,1,3,3,3,3,3,1,3,1,3,1,1,3,1,1,1,1,1,1,3,1,1,1,1,1,1
,1,3,3,1,3,3,1,3,3,3,3,3,1,1,1,3,1,1,1,1,1,1,3,3,3,1,3,1,1,3,1,1,1,1,1,1,3,1,1
,1,3,3,3,3,1,1,1,3,1,1,1,3,3,3,1,1,3,1,3,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,4
,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,10,4,2,2,2,2,2,2,2,2,4,6,6,2,2,2,4,2,2,4,4,2,
2,4,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,3,3,1,1,1,9,1,3,3,1,1,1,3,3,1,1,1,3,3,3,1,
1,1,1,1,3,3,3,1,3,1,1,3,3,1,1,3,1,1,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,10
,1,3,3,1,1,1,1,1,1,1,1,1,1,1,9,3,3,3,3,3,3,7,3,3,3,3,5,3,1,2,1,1,1,1,1,1,1,3,1
,3,1,1,1,3,1,1,1,3,1,3,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1
,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,3,1,1,1,1,1,3,3,3,3,3,3,3,1,1,1,3,1,1,1,1,3
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,2,2,4,2,2,2,2,2,2,2,2,3,1,3,3,3,3,1,1,1,1
,1,1,1,3,1,1,1,3,1,3,1,3,3,1,1,1,1,1,1,3,3,1,1,1,1,1,3,1,3,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,10,2,1,3,3,1,1,1,1,1,4,1,4,1,1,2,1,1,1,1,1,1,1,1,1,1,
3,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,1,3,1,3,1,1,1,1,1,3,1,1,1,1,3,3,3,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,2,1,1,1,2,2,2,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[270270,5922,330,486,7560,252,
756,378,42,40,158,18,58,60,20,54,14,336,36,38,26,35,1008,252,12,72,12,12,96,24
,12,12,12,42,16,18,12,4,12,18,18,6,18,18,14,14,6,6,6,126,6,18,6,6,18,6,6,2,18,
6,6,6,6,6,18,6,38,76,18,26,10,10,2,6,24,12,8,12,12,6,6,2,252,35,11,7,11,7,756,
36,6,36,8,4,4,36,12,24,12,4,4,12,4,4,12,96,8,24,8,5,2,6,14,6,4,2,6,2,6,16,6,6,
2,4,12,2,4,2,6,6,2,2,18,6,18,6,6,6,6,6,6,6,2,2,2,2,2,6,6,6,6,6,6,18,6,6,6,6,6,
6,18,4,12,4,10,2,2,6,8,6,6,12,6,6,2,4,2,2,2,2,252,12,12,12,12,15,1,3,5,1,7,3,3
,5,11,3,3,1,7,5,5,7,3,3,1,3,1,126,36,18,6,6,4,2,2,36,4,4,4,16,12,6,4,2,2,4,4,4
,24,4,8,4,8,4,5,2,1,2,2,3,2,2,3,2,1,2,2,18,6,6,6,6,6,2,2,2,2,2,2,2,2,6,6,2,2,2
,2,2,6,6,6,4,2,6,2,4,2,6,2,6,2,8,2,2,2,2,4,6,2,6,2,2,6,2,2,2,2,2,6,2,2,2,4,36,
12,12,4,12,4,12,7,3,1,3,1,7,3,3,3,7,1,5,1,1,3,3,3,3,3,1,7,3,3,5,1,1,1,1,3,3,3,
3,1,3,3,1,3,3,1,1,3,3,3,1,1,3,3,3,1,1,3,1,1,1,1,3,3,3,1,2,6,4,2,2,6,6,6,2,6,6,
2,2,2,2,2,4,16,4,6,4,4,8,4,4,4,4,4,5,1,1,1,1,1,3,1,3,2,2,2,1,2,1,1,2,1,2,1,1,2
,1,6,2,2,2,2,2,6,2,2,2,2,2,2,2,4,2,6,2,6,2,2,2,2,2,2,36,4,4,12,4,4,7,3,1,3,1,1
,1,1,1,5,1,1,1,3,3,3,3,1,3,3,1,3,3,3,1,3,3,1,1,3,3,1,1,1,1,1,1,1,3,3,3,1,3,1,1
,1,1,3,1,1,1,1,3,3,3,3,3,3,3,3,1,1,1,1,3,3,1,1,1,1,1,1,1,1,1,2,2,2,2,2,6,6,2,2
,2,6,2,6,2,2,2,2,2,2,4,2,6,2,4,2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,2,1
,1,1,1,1,1,1,1,6,2,2,2,2,2,2,6,4,4,4,4,1,3,3,1,1,1,1,1,1,1,1,3,3,1,1,1,1,3,1,3
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,1,3,1,1,1,1,3,3,3,1,1,3,1,1,1,1,1,1,1,1,1,1
,2,2,2,2,2,2,2,6,2,2,2,2,2,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,2,6,2,6,2,2,4,3,1,1,1,1,3,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,2,1,2,1,1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,6,2,2,2,2
,2,2,3,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1
,1,2,1,1,1,1,1,1,1,1,1,1,1],[270270,4158,750,590,9450,126,108,2646,126,90,134,
190,30,110,134,38,90,54,18,58,42,18,10,10,210,210,42,250,6,54,18,6,12,6,270,50
,2,18,6,2,28,126,6,86,6,22,30,6,70,30,30,50,30,18,6,30,18,28,42,38,22,30,18,28
,42,2,18,6,6,10,6,6,2,8,10,10,10,10,6,8,8,8,2,8,8,6,6,6,6,6,2,8,6,6,10,2,6,6,6
,2,10,6,8,8,8,36,210,50,18,50,18,1890,18,3,36,15,9,90,36,18,30,10,14,2,2,50,30
,10,2,18,6,42,14,12,30,6,2,6,6,2,2,6,6,2,4,10,12,10,6,66,28,18,42,30,18,26,22,
6,22,6,6,26,22,18,28,2,2,4,2,2,2,2,2,2,2,4,4,4,6,2,8,6,6,6,6,6,6,2,2,2,2,2,6,8
,2,2,2,6,6,2,2,2,2,2,6,6,6,6,6,8,8,8,6,8,10,8,8,8,8,10,8,8,8,8,10,8,8,8,8,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,10,6,6,6,2,2,2,8,8,8,6,6,12,2,12,6,6,4,2,6,30,10,6
,14,50,10,10,6,18,14,14,30,6,10,2,10,2,6,1,3,2,3,1,3,2,1,4,2,4,2,8,8,10,90,50,
1,6,1,3,2,1,1,28,6,6,10,2,6,18,6,6,14,12,10,6,28,30,10,10,10,2,6,6,2,2,2,6,12,
10,2,8,4,10,6,2,8,4,10,8,2,6,6,8,2,6,2,8,6,6,2,6,2,6,2,2,28,18,6,22,18,6,6,6,6
,6,6,6,6,6,6,6,6,6,6,6,6,4,2,4,4,4,2,2,2,2,2,2,2,2,2,2,4,4,4,4,2,2,2,2,2,2,2,2
,2,2,2,6,6,8,2,6,10,8,8,8,8,8,6,6,6,8,6,6,2,2,2,2,2,2,2,8,2,2,2,2,2,2,2,4,4,4,
6,6,6,6,6,6,18,9,3,6,4,2,2,2,2,2,28,6,6,10,6,30,10,10,10,28,6,14,6,6,10,6,6,6,
6,6,2,8,6,2,8,10,2,2,8,10,6,2,2,8,6,10,2,2,8,2,2,2,2,8,8,10,30,18,30,3,6,10,14
,1,1,3,15,9,9,6,1,1,1,1,3,1,2,1,1,1,3,2,1,28,6,6,6,10,6,2,6,6,10,4,2,2,10,8,8,
2,6,8,2,2,4,6,6,8,8,2,2,6,2,8,2,2,4,6,2,8,6,2,8,2,2,2,4,6,6,6,6,6,6,210,3,3,6,
2,2,2,2,2,2,18,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,8,2,2,2,4,2,2,2,2,2,4,4
,4,4,2,6,2,2,2,2,2,2,2,1,3,1,3,1,3,6,6,3,3,1,2,2,1,28,6,6,10,6,6,6,6,6,2,8,6,2
,8,6,8,2,6,6,2,2,8,8,2,2,4,2,2,4,6,2,2,2,4,6,6,6,6,6,10,8,8,2,2,2,2,6,8,3,1,3,
1,3,1,28,1,6,6,10,1,1,1,1,6,2,3,1,1,1,1,1,6,3,1,6,6,8,2,4,2,4,2,6,10,2,8,2,2,2
,2,4,6,6,2,2,4,2,2,4,2,2,6,2,8,6,2,2,2,6,50,18,3,1,3,1,1,3,1,3,1,1,2,6,4,2,2,2
,2,2,2,2,2,2,6,3,1,1,1,3,1,3,1,1,2,1,6,6,4,2,4,2,2,2,6,2,8,2,2,4,2,2,4,2,2,2,2
,4,6,6,2,2,2,6,6,6,6,1,1,1,1,1,1,1,9,3,1,2,3,3,1,1,6,2,6,8,2,2,2,4,4,2,2,2,2,2
,2,2,6,1,1,6,30,10,6,14,3,10,2,1,1,1,1,3,1,1,1,2,1,2,1,3,3,1,3,1,3,1,1,1,6,4,2
,2,2,2,2,2,2,2,2,6,2,2,3,1,6,4,2,2,1,2,2,1,1,1,1,1,28,6,6,10,6,6,2,8,3,1,3,1,3
,10,2,2,8,1,1,1,3,3,1,1,1,1,1,1,1,2,3,3,2,1,2,6,6,2,8,2,2,4,3,1,6,1,1,1,1,1,3,
1,1,1,1,1,3,1,6,4,2,2,2,1,1,3,1,2,3,1,1,1],[270270,14238,270,1038,13230,630,
2646,3066,66,206,830,126,174,54,38,18,282,66,18,602,66,42,10,210,2898,630,90,
198,30,618,102,30,206,726,54,30,38,38,30,66,18,18,18,18,126,102,126,234,18,18,
18,18,66,602,142,66,50,50,30,30,22,42,22,14,10,10,10,10,6,10,10,42,142,10,10,
10,10,22,50,30,22,10,10,630,210,18,18,18,18,2268,135,30,198,132,18,18,48,6,62,
12,26,576,66,54,42,154,54,18,14,72,52,6,18,30,20,6,156,16,2,2,12,32,6,2,15,66,
210,66,18,18,18,18,18,90,102,38,30,30,18,18,18,42,42,14,14,14,10,10,10,10,6,10
,6,6,10,10,6,6,42,142,14,22,22,22,10,10,10,6,10,10,10,10,10,10,10,10,6,6,10,10
,42,50,42,30,22,22,22,22,18,18,22,10,10,10,10,10,10,10,10,10,22,42,10,10,10,10
,10,10,18,22,14,14,6,6,6,6,630,30,90,18,30,60,4,12,4,6,6,10,6,6,18,10,10,6,18,
6,6,6,6,2,2,2,2,546,135,54,30,11,6,156,12,8,8,6,32,16,16,16,10,2,4,2,2,12,2,2,
128,36,11,6,42,26,36,18,12,54,18,12,14,14,14,12,12,132,48,36,42,30,36,6,6,6,6,
18,42,52,20,20,6,32,12,8,8,2,10,6,4,2,12,8,8,32,2,2,4,10,2,32,12,8,8,4,2,10,6,
2,2,16,6,12,6,10,4,8,15,3,3,3,3,90,18,30,18,18,42,14,14,10,10,10,6,6,6,10,10,6
,6,6,6,6,10,10,10,10,10,18,10,10,6,6,6,6,22,42,10,10,10,10,10,6,10,10,10,10,10
,10,10,18,18,18,18,22,14,6,6,6,6,6,6,6,6,10,6,6,6,10,10,6,10,10,10,10,6,14,14,
6,6,6,6,6,6,6,6,14,6,6,6,135,90,18,10,18,6,18,6,30,18,6,18,6,10,6,2,2,6,6,6,6,
6,6,6,6,6,6,6,6,10,6,6,6,4,16,12,8,4,4,4,4,4,4,4,8,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,48,30,12,6,9,3,20,12,30,30,18,12,116,24,16,38,18,8,6,11,6,3,9,36,
8,1,30,36,30,42,20,6,6,6,14,12,12,12,4,6,10,4,1,12,8,8,8,8,8,8,6,6,6,6,32,10,
10,10,4,2,4,4,4,4,4,2,4,2,2,2,12,6,6,2,2,2,2,6,6,2,2,2,2,2,4,4,2,4,16,10,12,12
,12,6,6,6,8,6,6,6,2,4,4,4,6,8,6,10,2,2,2,6,6,2,2,2,4,4,4,8,6,6,10,6,2,4,4,4,6,
6,8,10,2,2,2,2,2,2,6,6,210,15,3,3,3,3,1,3,1,1,1,1,3,3,1,18,6,6,18,10,10,10,10,
6,10,10,10,10,10,6,10,6,6,14,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
135,11,18,6,21,9,21,9,6,18,6,6,10,6,11,6,2,6,2,6,6,2,2,2,2,2,2,2,2,2,6,6,6,6,6
,6,4,4,4,4,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,6,6,8,4,4,4,4,4,4,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,30,6,12,12,12,36,10,8,8,8,4,8,1,1,30,6,12,18,30,12,16,8,8,3
,9,6,6,4,4,10,4,1,4,6,2,2,6,2,2,2,4,6,4,6,10,4,4,1,4,12,6,6,10,1,4,4,2,2,2,2,2
,2,8,8,2,2,2,2,2,2,6,2,2,2,2,2,2,6,2,2,4,4,4,4,4,4,4,6,6,6,8,6,6,6,10,2,2,2,2,
2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,6,2,2,2,2,2,6,60,12,18,18,3,3,3,3,1,1,
3,1,1,1,1,3,3,1,1,1,1,1,10,6,6,6,6,6,6,6,6,30,9,3,21,9,5,5,5,3,6,6,6,2,5,3,5,3
,3,3,11,9,5,3,5,1,1,2,2,2,2,2,2,2,6,6,4,4,2,2,2,4,4,4,2,4,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,15,12,6,12,8,8,6,6,4,4,4,4,4,4,4,4,4,10,4,4,4,1,4,6,2,2,2,4,
4,4,6,2,2,4,8,8,8,8,2,2,2,2,2,2,2,2,2,2,2,6,6,10,6,6,4,4,16,12,8,4,8,4,3,3,3,2
,2,3,3,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,6,30,6,6,3,9,6,3,3,3,3,1,3,3,3,5,3,3,5,1,
3,3,1,3,3,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,2,4,2,2,2,2,2,2,2,2,15,3,3,3,3,6,4,8,4
,4,4,2,4,4,4,4,6,6,6,4,4,4,4,2,4,2,2,2,4,6,8,6,4,4,3,2,2,2,4,4,2,2,2,3,3,2,2,1
,1,1,1,1,1,1,1,1,1,1,6,6,2,6,6,3,3,2,2,1,1,1,1,1,1,1,1,1,3,1,1,1,2,3,3,3,1,1,1
,1,3,3,1,4,6,6,4,4,2,2,2,2,2,2,2,2,3,2,2,4,4,4,2,4,2,2,2,2,2,2,1,1,1,1,1,1,6,2
,2,2,2,1,3,3,3,3,1,1,1,1,1,1,1,1,4,2,2,2,2,2,2,2,2,1,2,3,3,3,1,1,1,1,1,1,1,2,3
,1,1,1,1,1,1,1],[247104,12096,30240,1008,12096,1008,1008,4064,24,4032,1008,144
,144,1008,1008,4032,16,12096,1008,144,144,144,144,20,8,1008,144,16,8,8,144,
1008,1008,144,144,24,12,8,4,4,1008,144,8,8,12,4032,1008,16,8,4,4,4,4,144,8,4,4
,144,8,8,4,4,144,4,8,12,8,1008,4,4,4,8,144,4],[240240,5376,240,21000,1596,48,
156,5376,140,80,80,80,12,4,140,12,1120,1120,140,48,4,384,24,12,36,80,80,4,4,
140,12,4,4,4,4,4,1596,156,156,48,48,48,48,48,1120,16,16,5376,140,384,12,20,80,
36,8,4,8,4,384,12,20,36,8,12,8,8,4,8,16,16,4,4,12,20,8,100,16,80,4,4,4,4,4,4,
140,4,100,12,20,16,4,8,36,12,12,16,16,16,140,140,12,4,80,4,4,8,8,4,8,4,16,4,20
,12,4,4,8,4,4,4,156,48,48,48,100,16,4,4,4,140,4,384,12,12,12,12,12,12,12,20,36
,36,36,8,8,8,8,4,36,12,12,8,4,4,4,4,4,4,8,16,16,80,4,4,4,8,4,80,8,4,4,8,4,4,4,
4,4,4,4,4,4,4,4,4,12,20,4,8,16,8,1120,140,16,4,4,4,4,4,20,12,20,4,8,8,16,4,4,4
,4,4,8,4,4,4,8,48,16,4,4,4,4,4,12,20,4,8,36,12,12,12,12,12,8,4,4,16,4,16,4,4,
80,4,4,4,4,8,8,4,8,4,4,8,4,4,4,4,4,4,8,100,20,16,8,4,4,4,4,8,8,4,4,4,4,16,4,4,
4,4,4,4,4,4,12,8,140,4,4,4,8,4,4,4,4,16,8,4,16,4,4,4,4,4,4,4,4,20,8,4,4,4,4,4,
8,4,4,4,4],[240240,6048,160,880,18480,714,12,48,5040,140,160,240,32,48,16,60,
36,16,140,60,1120,1232,154,10,248,10,8,66,4,24,12,360,64,10,18,10,4,4,120,32,8
,8,8,12,16,8,12,140,60,12,12,8,8,12,8,8,12,12,8,714,48,48,12,12,12,12,12,1120,
48,48,5040,140,120,8,6,2,120,8,6,2,16,6,2,6,10,72,40,6,6,16,8,6,6,2,10,2,2,6,
18,16,2,4,4,6,8,2,8,2,6,40,4,4,8,12,4,4,8,4,4,12,8,4,154,8,66,4,12,12,12,12,12
,24,24,10,80,10,8,8,8,16,8,4,4,4,4,4,4,4,4,2,2,2,2,18,4,4,16,48,140,140,60,12,
8,6,8,2,4,2,2,6,6,8,4,2,2,2,2,2,2,120,32,8,12,2,2,2,2,24,2,2,2,2,6,2,2,6,2,4,8
,2,6,8,2,6,2,2,2,2,6,4,2,2,2,6,4,2,2,2,48,12,12,12,40,4,12,4,12,4,4,140,12,120
,8,6,6,6,2,2,2,10,10,2,8,6,8,24,4,4,4,6,4,4,4,4,4,4,4,8,2,2,2,6,2,18,6,2,4,4,6
,2,4,6,4,4,4,6,2,2,8,4,8,4,8,8,12,12,12,4,4,2,8,2,2,2,6,2,2,2,2,2,2,4,2,2,2,2,
2,2,16,8,4,4,4,2,2,24,12,12,12,8,4,4,2,2,4,4,1120,140,4,4,12,4,6,8,2,4,2,2,2,2
,2,2,8,4,6,2,8,8,2,6,6,2,2,2,24,2,2,2,2,6,4,2,12,6,6,4,2,2,6,2,4,4,2,2,6,2,6,2
,2,2,2,2,2,2,2,2,2,2,2,12,4,4,4,4,4,2,8,2,4,8,2,6,2,8,4,4,4,4,2,2,4,4,2,2,4,4,
4,2,16,8,48,12,4,2,2,2,2,2,2,2,6,4,4,2,2,2,2,6,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,
12,4,4,2,40,8,4,2,4,4,2,6,2,6,2,4,4,2,2,2,2,2,2,2,2,2,2,4,2,8,4,2,2,2,4,4,2,2,
2,4,2,2,140,4,2,12,4,4,2,4,2,4,6,2,2,2,2,2,2,2,2,2,2,4,2,4,2,2,2,2,8,12,4,2,2,
2,8,2,4,2,4,2,2,4,2,4,2,4,2,2,2,2,2,2,2],[240240,16128,880,18480,714,12,48,
5040,3920,200,880,120,36,980,36,1120,4032,714,40,224,8,66,24,12,960,16,40,66,4
,200,880,120,36,980,200,36,36,36,200,36,714,48,48,12,12,12,12,12,1120,48,48,
5040,140,120,8,6,2,120,224,6,2,16,8,12,960,40,224,32,12,12,16,16,6,66,8,2,4,
120,8,2,32,2,40,4,120,36,200,36,36,36,36,714,8,66,12,12,12,12,12,24,24,40,210,
2,8,8,48,24,4,4,12,2,2,2,2,66,4,240,48,980,140,120,40,36,12,8,8,4,2,2,120,32,8
,8,8,8,2,2,200,40,12,8,4,16,8,32,224,6,16,16,8,8,2,12,32,2,8,32,8,2,32,8,2,8,8
,48,12,12,12,40,4,12,4,12,4,36,140,12,120,8,6,6,6,2,2,2,210,40,2,2,12,8,66,4,4
,4,2,12,24,2,2,2,6,2,66,6,2,4,12,66,2,2,4,4,6,2,2,48,4,36,12,200,40,36,12,12,
12,8,4,16,8,32,8,8,8,2,8,8,8,8,8,48,8,12,2,2,24,12,12,12,24,4,12,2,2,1120,140,
40,12,12,4,120,8,8,4,2,2,2,2,2,2,40,12,6,2,32,8,2,2,2,4,6,32,8,6,4,2,2,2,12,6,
66,12,2,2,2,2,4,8,4,6,2,6,2,2,2,2,2,2,2,2,2,2,2,2,12,4,4,4,36,12,8,48,8,2,8,2,
6,2,24,4,12,2,2,24,4,4,2,2,4,2,240,40,48,12,12,32,8,8,4,4,4,2,2,2,2,2,2,6,2,12
,8,4,8,4,8,4,2,2,2,2,2,2,2,12,12,2,40,8,4,2,4,4,8,6,2,6,2,24,4,2,2,2,2,2,4,4,4
,2,2,4,2,48,12,8,4,2,12,2,12,2,2,2,2,140,40,8,12,4,4,2,12,4,4,6,2,2,2,2,2,2,2,
2,2,4,4,2,12,2,2,2,2,40,12,12,4,2,2,8,2,4,2,4,2,2,12,8,4,2,4,2,4,2,4,2,2,2],[
240240,6048,720,18480,714,12,48,5040,140,120,240,36,168,72,16,1120,1232,154,
216,66,24,12,360,18,120,12,140,36,12,12,16,12,24,8,714,48,48,12,12,12,12,12,
1120,48,48,5040,140,120,8,6,2,120,8,6,2,72,24,8,6,18,2,24,6,24,6,40,4,8,4,12,
12,4,8,4,154,66,12,12,12,12,12,24,24,80,16,8,4,18,48,8,8,140,140,36,12,8,4,2,2
,8,4,2,2,120,12,24,6,4,2,8,2,12,6,4,2,48,12,12,12,40,4,12,4,12,4,4,154,18,6,4,
4,4,4,120,8,6,6,6,2,2,2,24,4,8,6,2,18,6,2,6,6,8,4,12,12,8,4,12,4,4,2,16,4,24,
12,12,12,8,4,1120,140,12,4,8,4,2,2,2,2,2,2,6,2,8,8,2,2,24,6,4,2,6,18,6,2,2,6,2
,2,2,12,4,4,4,4,4,16,4,6,2,8,4,8,4,48,12,6,2,4,4,2,2,6,2,2,2,2,12,4,40,8,4,2,4
,4,4,6,2,2,2,2,2,8,4,8,4,2,4,4,4,4,4,140,12,4,4,2,4,6,2,2,2,2,2,4,2,4,4,12,2,2
,8,2,4,2,4,4,4,2,4,2,2,2,2],[231660,5076,420,444,756,4536,252,60,96,156,36,100
,72,24,36,20,252,36,36,12,30,252,36,36,12,12,36,12,72,48,96,12,72,24,24,36,12,
4,36,12,16,20,12,12,12,252,12,36,12,12,36,12,12,4,24,12,12,8,8,8,12,4,12,12,24
,4,4,12,12,12,4,8,8,30,14,6,14,6,252,108,24,4,12,12,12,4,4,12,8,6,36,16,4,24,
12,12,12,12,12,24,4,4,4,4,4,8,8,12,12,24,4,4,4,4,8,12,12,4,4,4,4,4,8,12,8,8,8,
8,12,4,4,4,4,4,4,4,8,4,6,10,6,2,6,14,6,6,6,6,6,6,10,2,6,2,6,2,72,252,36,12,12,
24,12,12,4,8,4,12,12,12,12,12,4,8,4,12,6,2,6,2,6,2,2,12,12,4,4,4,24,12,8,8,8,4
,4,4,4,4,12,12,4,4,4,4,4,4,4,8,4,4,8,4,2,8,2,6,6,6,10,6,6,6,8,6,6,6,6,6,2,2,2,
2,2,2,4,2,2,4,6,2,2,4,6,2,2,2,4,2,6,2,2,4,2,2,2,2,4,4,6,8,4,4,18,12,12,4,4,4,
12,12,4,4,4,8,4,4,4,6,2,3,4,6,2,2,2,2,2,2,12,4,4,4,4,4,4,8,4,4,4,2,8,2,6,6,6,6
,6,2,2,2,4,2,2,4,2,4,2,2,2,2,2,4,4,2,2,4,2,2,4,2,2,2,2,4,2,2,2,2,2,6,4,4,2,2,2
,2,2,4,18,6,6,2,12,6,2,4,4,6,2,2,2,2,3,2,4,2,2,2,2,2,4,1,2,2,4,2,1,2,2,4,6,2,4
,2,4,2,2,2,2,2,4,2,2,4,2,2,4,2,2,2,2,4,2,2,2,2,2,2,2,36,12,6,12,4,6,2,2,2,6,2,
4,2,2,3,2,2,2,2,2,2,2,2,2,2,2,4,2,2,1,2,1,2,4,2,2,2,2,2,2,2,2,2,4,4,2,4,2,3,1,
3,1,3,2,1,2,2,1,1,2,2,1,1,3,1,2,2,2,1,1,1,1,1,6,2,1,1,2,1,2,1,1],[225225,12285
,165,625,9450,630,72,945,2835,45,125,585,45,53,41,17,21,135,27,17,315,63,25,13
,2520,630,10,108,6,18,630,34,10,18,6,4,35,105,585,17,9,9,13,9,25,9,9,13,9,45,
45,45,135,7,9,13,5,9,27,7,315,105,27,27,39,15,21,9,9,25,3,3,3,3,15,9,5,5,13,5,
3,9,9,15,3,3,3,25,105,15,13,5,5,5,15,27,9,13,9,9,3,3,3,3,1,630,72,72,945,90,15
,18,6,3,90,108,18,18,18,14,2,2,630,10,108,36,18,18,2,2,2,6,2,2,18,18,6,90,14,
36,10,15,135,7,27,9,9,3,7,5,45,45,9,9,9,7,5,3,7,15,15,5,15,15,9,3,3,7,7,5,7,3,
5,7,7,9,5,1,1,1,25,105,15,9,9,9,15,13,5,5,3,5,3,3,5,3,5,5,3,3,3,3,5,27,27,27,9
,13,9,9,9,9,9,9,5,5,9,9,9,5,9,5,5,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,15,3,3,3,3,3
,3,3,3,3,3,3,3,3,3,9,27,5,9,5,5,5,3,9,9,3,3,3,3,3,9,9,3,3,3,3,3,1,1,1,1,1,3,1,
1,1,3,1,1,1,630,18,10,180,6,72,4,4,18,4,315,90,27,15,5,6,1,3,90,36,14,6,6,6,10
,105,17,5,6,1,3,2,2,1,14,18,6,10,2,36,108,2,18,2,2,2,2,18,18,6,6,36,6,6,10,36,
6,36,6,6,6,6,10,10,6,6,2,72,45,7,3,9,5,3,15,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,5,15
,15,9,1,1,1,3,3,3,5,5,5,3,7,3,3,3,9,9,3,7,3,5,5,1,1,1,1,5,5,9,1,1,1,3,1,1,1,1,
3,1,1,3,3,3,3,9,5,3,3,3,3,3,3,9,27,3,3,3,3,3,3,5,9,5,5,5,3,5,3,3,5,3,3,3,9,9,9
,9,9,3,9,3,3,3,3,3,3,5,5,3,1,1,1,1,1,3,5,3,5,3,3,9,3,5,5,5,5,1,1,1,9,9,3,3,3,3
,3,3,3,3,9,3,3,3,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,3,3,3,3,3,3,1,1,1,1,1,1,1,1,1
,1,1,1,12,2,90,18,18,18,6,180,10,6,2,18,2,18,18,18,18,2,2,4,18,15,27,9,3,6,9,7
,1,1,15,6,3,3,6,105,9,9,27,9,5,3,3,1,1,1,1,6,3,1,1,1,6,15,7,18,6,2,9,5,36,6,6,
6,6,10,6,6,6,6,10,6,6,10,6,6,6,6,2,6,6,6,6,10,2,6,2,2,72,4,3,5,9,1,1,1,1,3,1,1
,1,1,1,1,1,1,1,3,3,1,3,3,3,3,3,3,3,9,5,3,3,3,3,1,9,3,3,3,3,5,1,1,1,1,5,3,3,3,3
,1,1,1,1,1,1,1,1,1,3,3,3,1,1,1,1,1,1,1,1,9,3,3,3,3,3,3,1,1,1,3,3,3,1,1,1,3,3,3
,3,5,5,5,3,1,3,1,1,1,1,3,1,3,1,5,3,3,1,1,1,1,5,5,3,1,1,1,1,3,3,1,1,1,1,1,90,6,
4,6,2,18,36,18,6,2,36,2,2,18,2,2,18,18,2,2,2,6,2,2,18,18,2,5,15,1,3,7,1,9,3,5,
5,1,2,1,15,9,3,3,7,3,5,9,27,9,9,3,3,6,1,1,1,1,3,1,3,3,1,6,5,3,3,9,3,2,6,9,3,3,
6,9,3,3,5,2,2,3,5,2,6,10,6,6,6,2,6,6,1,6,2,72,18,4,4,3,1,3,3,3,3,1,3,1,1,1,1,1
,1,1,3,3,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,5,3,3,1,1,1,1,1,3,1,1,1,1,1,3,1,3,3,1
,1,15,6,6,3,6,36,6,6,2,2,2,18,2,2,6,2,6,6,6,6,6,2,2,3,5,1,1,1,1,1,3,3,9,3,1,3,
2,1,1,3,3,6,3,3,5,3,3,3,3,1,3,3,5,9,3,3,3,3,2,5,3,2,6,3,3,3,5,3,2,2,1,3,1,1,1,
1,18,18,4,2,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,15,3,5,1,2,3,1,6,9,6,3,1,2,6,6,6,6,6
,6,6,2,2,1,3,3,1,3,3,1,3,3,1,1,1,5,1,1,1,3,1,1,1,1,2,3,3,3,3,6,18,2,2,1,5,1,1,
1,1,3,3,9,3,3,1,3,3,3,1,1,3,3,1,6,2,3,1,1,3,1,1,1,1,6,2,6,2,3,1,3,3,1,1,1,1,1,
1,1,3,3,1,1,1,3,3,1,1,3,6,2,2,1,3,1,1,1,1,1,1,3,1,2,1,3,1,1,1],[216216,13104,
360,15120,1260,3024,2520,120,120,360,840,48,120,336,6,3696,1260,72,12,600,12,
120,360,120,840,120,120,120,120,24,12,1260,336,24,6,24,3024,360,120,360,72,600
,72,24,12,360,12,24,12,60,120,120,120,24,120,120,12,1260,12,120,12,120,24,6,24
,24,24,840,360,120,360,24,120,24,72,24,24,12,24,6,60,6,6,120,12,12,24,360,120,
12,12,12,12,24,24,24,120,120,120,120,24,6,6,336,6,60,24,6,6,12,360,24,24,12,12
,12,24,120,120,6,6,6,120,6,24,24,6,120,24,12,60,6,6,24,24,24,24,120,6,60,6,6,6
,24,12,6,24,6,6,24,6,6,6],[216216,13104,192,360,15120,1260,3024,2520,120,120,
360,64,16,840,120,16,336,6,3696,1260,72,24,12,600,12,24,120,360,120,8,16,840,
120,120,8,8,16,8,120,120,16,8,8,1260,336,24,2,6,24,2,3024,360,120,360,72,4,600
,72,24,4,4,24,12,360,24,60,120,120,120,8,120,120,16,8,8,8,8,1260,12,120,24,12,
120,24,6,2,24,24,24,2,840,360,120,8,360,24,120,8,24,72,4,24,24,24,6,60,6,6,8,
120,8,8,8,4,360,120,24,12,4,12,12,4,24,24,24,2,120,120,120,8,120,24,6,6,2,336,
6,60,24,6,6,8,360,4,24,24,4,12,4,24,120,8,8,120,6,2,6,6,2,120,6,2,24,2,24,6,
120,24,4,60,8,6,2,2,2,2,24,24,24,2,24,120,8,6,60,6,6,2,24,8,6,24,6,6,24,6,6,2,
2],[216216,3024,352,360,126,27,84,120,16,32,48,36,24,24,120,16,336,6,42,12,6,
15,3,18,4,7,8,8,8,12,8,12,8,8,8,8,8,8,4,4,4,8,120,12,8,8,4,9,336,24,2,6,24,2,
84,6,4,6,2,3,6,2,4,6,2,7,3,18,6,6,4,12,4,4,8,4,4,4,4,4,4,4,4,8,9,1,3,3,3,3,1,
24,8,6,2,4,24,4,2,8,6,4,2,2,6,2,12,2,2,2,2,3,2,6,2,6,6,2,2,4,4,2,2,4,2,2,1,1,6
,3,3,1,1,1,1,1,1,1,4,24,4,2,4,4,4,2,2,12,2,6,6,2,42,1,1,6,4,2,2,2,6,1,1,1,1,2,
2,1,1,1,4,2,2,4,2,2,4,6,2,6,6,2,4,1,1,1,1,6,1,1,4,2,4,2,1,3,2,2,6,2,2,2,2,2,6,
2,1,1,4,4,2,2,2,3,1,1,2,2,2,2,2,1,2,2,1,1,1,1,1],[216216,15120,840,15120,1260,
3024,3612,120,200,840,180,36,924,36,120,336,6,4032,1260,192,36,864,48,36,200,
840,120,180,36,924,200,36,36,36,120,12,12,120,200,12,36,1260,336,40,6,40,3024,
360,120,360,192,12,48,8,864,192,48,48,48,36,8,12,360,8,48,60,120,180,36,120,
120,12,12,12,120,200,12,12,12,12,36,36,36,12,36,12,12,1260,36,180,12,36,132,24
,12,6,24,12,24,40,12,4,4,924,360,36,120,8,360,48,8,8,8,8,200,8,48,8,48,192,48,
48,8,8,12,48,8,48,8,48,8,8,8,6,60,4,12,12,4,120,12,12,12,36,12,12,12,12,360,
180,12,12,36,12,36,12,36,12,24,12,24,40,4,12,4,4,4,4,4,120,36,120,200,36,12,8,
120,48,8,12,48,8,8,8,8,8,8,8,8,6,6,336,6,60,4,24,12,12,4,4,4,4,12,360,8,12,48,
48,36,12,12,8,12,24,4,4,12,4,4,4,120,120,12,12,36,12,12,12,8,6,6,6,2,2,132,12,
6,40,24,4,4,12,4,4,4,4,120,48,8,12,8,8,8,4,60,12,6,2,24,12,24,40,4,12,24,4,4,4
,4,120,12,8,6,60,4,12,12,4,2,24,4,4,12,4,4,4,4,12,6,2,2,24,12,4,4,4,4,4,6,2,2,
24,4,4,4,2,4,6,6,2,2],[216216,4032,240,776,7560,63,54,1512,168,104,200,48,48,
40,24,104,36,8,504,48,120,336,6,336,21,80,33,96,9,18,5,6,6,192,56,11,18,15,3,2
,60,16,12,12,12,24,28,8,4,16,42,22,30,26,6,10,22,10,6,12,8,6,120,100,4,12,24,4
,4,18,336,16,32,6,16,32,1512,42,12,9,6,12,9,20,9,8,12,8,5,2,3,1,12,32,8,16,11,
24,12,12,12,15,5,20,12,3,1,9,3,3,3,3,5,8,6,2,6,3,2,180,9,4,1,24,3,3,30,3,6,12,
6,4,60,12,6,4,4,4,2,12,6,8,4,4,2,4,2,2,6,10,4,12,4,6,2,8,6,18,2,2,12,6,2,18,6,
2,6,6,6,6,2,2,6,2,72,24,16,6,12,8,4,16,12,32,4,4,8,4,4,42,22,30,6,12,9,6,4,1,
12,4,4,4,12,9,3,8,3,1,1,1,1,1,60,16,10,4,1,4,4,1,3,4,8,8,4,8,8,8,9,3,3,3,3,3,1
,1,1,4,4,4,3,5,2,8,3,3,4,1,1,24,3,1,3,4,1,8,3,1,3,4,1,4,1,4,1,6,30,3,2,1,3,6,1
,3,6,1,2,1,6,4,4,2,2,2,6,2,4,2,2,2,2,6,2,12,9,6,6,2,2,2,2,6,2,2,2,2,6,2,2,2,6,
2,2,2,6,2,2,2,12,4,8,24,20,4,4,4,4,8,2,2,4,2,2,2,2,2,2,6,6,6,4,6,4,4,6,6,10,6,
2,1,4,4,60,6,4,4,1,3,6,2,8,4,4,3,3,1,1,1,1,1,4,1,4,4,1,1,4,1,4,1,4,1,6,6,168,
21,1,30,3,2,1,12,2,6,3,1,6,3,1,1,2,1,2,1,2,1,2,1,2,12,9,4,1,2,3,3,4,3,3,4,6,2,
2,2,2,2,2,2,4,1,2,2,12,4,4,2,6,2,2,2,2,2,4,2,6,6,6,4,2,2,2,6,2,6,2,2,2,2,2,4,1
,6,6,6,2,2,6,11,10,3,1,16,12,5,12,2,2,2,2,2,6,3,1,2,1,1,2,1,2,1,2,1,6,4,3,1,3,
4,1,2,4,1,4,1,4,1,2,2,6,3,2,2,6,2,3,2,4,3,12,3,4,4,5,2,2,4,3,1,12,2,2,1,2,2,2,
2,2,1,6,2,2,4,1,3,1,6,3,2,1,3,2,1,3,2,1,2,1,2,4,3,2,1,2,2,3,1,2,1,2,1,2,1,2,2,
2,3,1,1,1,1,1,3,2,3,1,2,2,1,1,2,1,2,1,2,1,2,1,3,1,1,1,1,1,3,2,2,1,2,1,2,1,1,1,
2,1,1,1,1,1,1],[216216,6552,120,504,15120,126,4536,504,72,184,24,56,24,8,72,
476,60,120,8,1036,6,1344,126,6,96,6,6,192,48,6,6,6,72,24,24,8,8,24,8,24,24,252
,12,36,12,12,12,12,4,120,92,8,8,8,4,12,36,20,12,126,1036,4,32,6,4,32,4536,126,
16,2,72,6,32,24,8,2,6,2,2,6,120,6,8,2,32,2,6,10,1,8,8,60,12,4,4,4,4,12,12,12,4
,4,4,4,4,12,24,8,4,4,8,12,24,12,8,4,126,6,6,6,6,6,6,52,30,16,2,6,6,4,4,2,4,4,4
,6,32,2,2,4,6,6,252,126,6,36,6,6,72,6,24,6,6,2,8,32,2,2,6,8,2,8,2,8,2,6,10,1,2
,1,1,4,1,1,4,1,2,1,8,4,8,4,4,4,4,12,4,4,4,126,6,2,6,6,6,2,6,2,6,2,2,6,6,2,2,4,
2,6,2,2,2,2,4,4,4,4,30,8,4,4,2,2,2,2,2,8,2,2,2,2,6,2,2,2,2,2,2,2,1,8,2,12,6,12
,4,6,2,2,2,12,6,60,6,4,2,12,6,2,8,2,6,6,1008,126,10,1,2,1,6,1,4,1,1,4,1,1,1,2,
1,2,1,2,1,2,1,4,6,6,2,2,6,2,6,6,2,2,2,2,2,2,2,4,2,6,2,2,2,2,2,2,2,2,2,2,2,4,4,
4,2,2,2,2,2,2,2,2,6,2,2,1,1,1,1,1,1,1,4,2,4,2,6,12,4,2,2,2,4,2,6,6,6,2,2,36,6,
12,6,24,6,6,2,1,1,2,1,1,2,1,2,1,1,4,1,1,2,1,1,2,1,2,1,2,1,6,2,2,2,2,2,2,4,2,2,
2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,2,6,2,24,6,4,2,6,2,1,1,4,2,2
,1,2,1,2,1,1,1,1,2,2,1,2,1,1,2,1,2,3,1,2,126,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2
,1,4,2,2,1,2,1,1,1,1,2,2,1,3,1,1,1,1,1,6,6,6,1,1,1,1,1,1,1,2,1,3,1,1,1,1,1,2,6
,2,1,1,1,1,2,1,1,1,1,1,1,1],[205920,16128,480,25920,1260,72,10080,3360,240,480
,1680,3360,5376,1260,120,96,24,12,960,120,12,120,240,480,1680,240,240,1260,72,
72,3360,48,48,10080,840,240,24,12,240,96,12,960,120,96,48,12,12,240,48,24,60,
240,1260,24,12,120,240,24,24,72,12,480,48,120,6,6,1680,840,240,120,24,240,48,
240,120,48,96,12,48,48,48,72,60,6,6,840,240,24,12,12,12,240,120,24,12,12,12,12
,12,12,48,24,6,240,120,48,72,24,3360,840,60,6,6,6,240,24,120,12,48,24,12,48,24
,12,12,12,12,12,72,24,24,12,480,120,48,6,6,48,24,12,120,60,24,24,12,12,48,840,
60,24,6,6,12,6,120,6,24,24,120,24,6,6],[205920,10080,480,96,25200,846,36,18,
10080,840,96,96,24,840,24,3360,3360,840,240,6,24,30,6,12,6,120,96,18,6,24,120,
96,24,840,24,24,24,24,840,6,12,18,6,3360,96,96,10080,840,120,18,6,6,120,18,6,
24,6,120,96,24,24,6,24,6,6,24,6,6,120,6,24,6,24,6,24,840,6,12,6,24,24,6,6,6,6,
6,6,6,120,24,96,120,6,6,840,840,120,24,24,6,6,120,24,6,6,96,24,24,24,6,6,6,24,
6,24,6,24,6,6,6,6,6,840,120,18,6,6,6,6,6,24,24,6,6,6,6,6,6,6,6,6,6,24,24,6,24,
24,24,6,6,6,6,3360,840,6,6,6,6,120,6,6,24,6,24,6,6,6,6,24,6,6,6,6,6,6,6,6,6,6,
6,6,6,120,24,24,96,6,6,24,6,6,6,120,6,6,6,6,6,6,24,840,6,6,6,6,6,6,24,6,6,6,
120,24,6,6],[205920,10368,480,25920,1260,72,10080,840,80,160,72,840,72,3360,
3376,840,168,48,12,360,48,36,120,80,24,840,72,24,24,24,1260,72,72,3360,48,48,
10080,840,240,24,12,240,24,12,16,8,120,56,8,24,16,24,4,120,16,4,24,8,60,24,840
,48,12,12,70,6,24,4,36,120,24,48,120,6,6,840,840,120,72,24,16,4,4,120,8,8,16,4
,4,80,24,8,8,8,4,8,24,4,4,8,72,60,6,6,840,24,240,24,12,12,12,4,12,4,12,24,4,6,
2,2,6,4,8,8,2,24,24,8,4,8,24,12,4,3360,840,4,6,6,6,120,16,4,4,4,4,24,24,6,8,4,
2,24,2,8,2,6,2,4,2,2,24,12,4,4,120,24,48,24,2,2,4,4,2,8,2,120,60,24,6,4,2,4,8,
8,840,4,6,4,6,2,6,24,2,2,24,4,120,8,6,2],[205920,10368,480,25200,846,36,18,
10080,840,80,160,72,840,72,3360,3360,842,144,26,6,12,240,48,18,30,120,80,24,
840,72,24,24,24,840,6,12,18,6,3360,48,48,10080,840,120,18,6,6,120,18,6,6,16,8,
120,48,24,8,2,26,6,2,120,8,6,2,6,8,6,24,840,24,4,6,2,2,2,6,2,8,24,6,120,24,48,
120,6,6,840,840,120,72,24,8,6,2,2,120,8,8,8,6,2,2,80,24,8,8,2,8,2,6,2,2,8,6,6,
2,2,840,24,120,18,6,6,6,6,6,2,4,2,6,24,2,6,2,2,6,2,8,8,2,24,24,8,2,8,6,2,2,
3360,840,2,6,2,6,120,8,6,2,2,2,2,2,6,6,6,2,2,2,24,2,8,2,6,2,2,2,2,6,6,2,2,120,
24,48,24,2,2,2,2,2,8,2,120,6,6,6,2,2,2,8,8,840,2,2,2,6,2,6,24,2,2,6,2,120,8,6,
2],[205920,12096,160,25920,1260,72,10080,1680,80,160,1120,3360,3920,840,40,24,
504,16,40,36,4,120,80,160,1120,80,80,1260,72,72,3360,16,16,10080,840,240,24,12
,240,72,12,12,16,8,360,40,24,8,120,40,4,8,60,80,840,40,110,6,24,8,4,4,36,4,240
,16,120,6,6,1120,840,120,40,120,8,80,40,8,4,16,8,8,24,40,4,8,8,8,8,72,60,4,4,
840,240,24,12,12,12,40,40,12,12,18,2,6,4,6,4,16,8,2,2,80,40,8,8,24,8,4,3360,
840,12,4,6,120,40,40,24,4,4,6,8,2,8,4,6,2,2,6,4,2,2,24,12,4,4,240,40,16,4,2,8,
8,4,2,120,60,24,6,4,4,2,16,840,12,4,4,2,6,40,4,24,4,120,8,6,2],[205920,10080,
160,32,25200,846,36,18,10080,840,32,32,8,840,8,3360,3360,840,80,8,8,120,32,2,
18,6,10,2,4,120,32,8,840,8,8,8,8,840,6,12,18,6,3360,32,32,10080,840,120,18,6,6
,120,18,6,8,6,2,2,2,2,120,32,8,8,8,8,120,8,6,2,2,8,6,8,840,8,8,2,6,2,6,2,2,2,6
,2,4,120,8,32,120,6,6,840,840,120,8,8,120,8,32,8,2,2,2,2,8,8,8,6,2,2,2,2,8,8,2
,6,6,2,2,840,120,18,6,6,6,6,6,8,8,6,2,2,2,6,2,2,2,6,2,8,8,2,2,8,8,8,2,6,2,2,
3360,840,6,2,2,6,120,8,8,6,2,6,2,6,2,8,2,2,2,2,6,2,2,2,2,2,6,6,2,2,120,8,8,32,
2,2,8,2,2,2,120,6,6,6,2,2,2,8,840,6,2,2,2,2,6,8,2,6,2,120,8,6,2],[205920,4320,
160,160,14400,162,36,72,4320,120,32,32,24,120,24,960,960,120,32,8,64,10,18,10,
4,4,1,32,8,120,24,8,8,8,120,24,12,18,6,960,4320,120,18,6,18,6,6,2,2,16,8,6,6,1
,1,1,12,8,120,8,8,8,12,6,2,2,2,4,4,16,1,1,1,1,1,120,120,24,8,32,8,2,2,2,2,6,6,
2,2,2,6,1,1,1,1,1,1,1,12,1,120,18,6,8,8,4,2,1,1,1,1,1,1,1,1,1,1,1,8,8,2,6,2,2,
1,1,1,1,1,1,1,960,120,4,1,1,1,1,1,1,8,6,6,6,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
6,2,2,1,16,8,1,1,1,1,1,1,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,12,6,1,
1,2,1,1,1,1,1,1,1,1,1,1,120,4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,8,1,1,1,1,1,1,1,6,1,
1,1,2,1,1,1,1,1,1],[200200,5040,160,440,2800,70,37,40,840,80,120,32,16,24,36,8
,140,36,8,560,70,20,40,4,16,6,1,4,5,120,32,20,6,4,8,1,120,8,12,4,40,24,8,4,4,8
,4,4,4,4,8,12,4,4,70,16,4,4,1,1,1,10,1,4,4,1,12,6,4,1,24,8,6,2,1,120,20,24,8,6
,6,8,2,2,4,6,8,1,4,1,8,2,8,2,8,4,4,12,4,4,4,4,4,2,2,2,2,70,4,6,1,16,1,1,1,2,1,
2,2,20,20,4,4,4,4,4,2,2,2,1,1,1,1,1,1,1,1,4,4,4,2,6,2,1,4,4,2,2,8,4,2,2,6,1,24
,2,4,6,1,1,1,4,2,4,2,8,2,4,1,1,1,4,4,1,1,1,4,1,1,1,1,4,4,4,2,2,2,2,70,6,2,1,1,
1,1,3,1,20,20,4,4,6,4,6,2,2,2,2,2,1,1,1,1,1,1,4,1,2,1,1,2,6,2,1,6,6,2,2,2,2,1,
1,2,2,2,2,4,1,1,4,4,1,4,2,1,1,1,1,2,1,1,1,4,1,1,1,1,2,2,2,1,1,1,1,1,4,1,1,1,2,
1,1,1,2,1,20,4,6,2,2,2,1,1,1,1,1,1,1,1,1,3,1,6,2,1,6,6,2,2,2,1,1,2,2,2,1,1,2,2
,1,4,1,1,1,1,1,1,4,4,1,1,1,2,4,1,2,2,1,1,1,1,1,2,2,2,1,1,1,1,1,2,1,2,1,1,1,6,2
,2,2,1,2,2,2,1,1,1,4,1,1,1,1,2,1,2,1,1,1,1,1,1,1,4,1,2,2,1,1,1,2,2,1,1,2,1,2,1
,1,2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,1,1,1,1,4,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1],[200200,7840,240,600,4900,175,40,22,280,1680,80,360,
48,40,24,88,48,8,140,52,8,1120,175,40,15,92,3,8,19,4,8,8,280,60,15,10,19,3,6,
20,360,16,12,12,12,60,8,4,20,70,50,10,6,34,22,10,6,2,8,6,4,20,8,4,4,20,4,12,
175,4,13,13,4,4,4,13,4,4,1,1,280,10,10,3,1,6,3,10,10,72,1,4,3,12,6,14,7,4,3,1,
280,16,4,15,72,14,10,6,7,7,24,12,4,1,1,3,3,3,3,1,19,14,4,2,4,2,3,4,10,1,14,4,2
,5,10,14,5,1,4,60,6,6,4,4,2,4,4,4,2,4,20,2,8,4,4,4,2,4,2,2,20,6,6,4,12,6,6,2,6
,2,6,2,4,2,175,5,4,19,4,1,4,4,4,5,4,7,7,15,55,3,11,5,5,13,7,3,3,1,1,1,4,2,2,5,
5,2,2,19,4,1,1,3,1,1,1,70,10,10,1,1,2,1,1,2,2,1,1,10,4,4,2,4,1,1,14,2,2,8,1,1,
1,1,4,2,2,2,1,1,2,20,16,3,2,3,1,12,2,2,1,3,4,4,2,4,4,2,72,4,4,2,3,3,3,3,1,1,1,
1,1,12,12,4,2,8,3,7,2,4,4,4,1,1,8,2,4,1,1,4,4,4,2,1,1,1,8,5,2,14,10,2,2,1,1,1,
4,2,1,2,4,2,2,1,2,4,2,1,13,4,4,4,4,1,1,1,1,1,1,1,1,1,4,4,2,2,6,2,2,6,4,2,2,2,2
,2,2,35,7,1,10,1,1,10,1,1,1,1,1,1,1,3,4,55,15,3,3,11,3,7,5,19,1,1,1,1,1,1,3,3,
3,1,5,2,1,4,1,7,2,2,2,3,1,4,1,1,3,1,4,19,1,4,1,1,1,3,1,1,3,7,19,1,1,1,1,1,1,1,
1,3,1,1,5,1,1,3,3,3,2,1,1,1,1,1,2,1,5,1,1,5,1,1,1,1,6,3,4,3,3,20,4,6,2,1,4,1,1
,1,2,1,1,4,2,1,12,2,2,2,1,3,2,2,2,3,4,4,2,2,4,1,1,1,1,1,1,1,2,2,8,2,2,2,1,2,2,
2,2,4,2,2,2,2,2,2,1,1,2,2,2,1,4,2,2,2,2,2,1,2,2,4,2,2,1,2,2,4,2,1,13,5,1,4,4,2
,1,2,2,7,4,4,4,1,1,1,1,1,1,1,1,7,3,4,2,2,1,1,1,1,1,1,1,1,1,1,2,10,1,2,2,1,1,1,
1,1,1,1,1,1,1,15,3,3,3,7,1,1,1,4,1,1,3,1,4,4,1,1,1,1,4,1,1,1,1,1,2,4,4,1,1,1,3
,1,1,1,4,1,1,1,7,1,3,1,1,1,2,19,7,1,1,1,1,1,1,1,5,1,3,3,3,3,1,1,1,2,1,1,1,3,2,
1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,2,1,1,1,1,3,1,3,1,1,1,1,1,5,1,1,1,1,1,
1,1,1,1,5,1,1,1,1,1,1,1,1,1,1,1,1,5,1,1,1,4,1,1,1,1,1,1,1,4,2,1,1,6,2,1,1,2,2,
1,2,2,1,3,2,4,2,2,2,2,2,2,1,2,2,2,2,2,2,2,1,13,5,1,1,1,1,2,1,2,5,1,2,1,4,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,7,3,1,4,2,2,7,1,1,3,3,1,2,2,3,1,2,1
,1,1,1,1,1,1,1,1,1,1,1,1,3,1,3,4,4,1,1,1,1,2,2,2,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,2,7,1,1,1,1,1,3,3,3,2,2,1,2,1,2,2,1,2,2,1,1,1,1,1,5,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,1,1,4,2,1,1,1,1,1,1,1,1,1,2,1,2,5
,1,1,1,1,1,1,1,1,1,1,4,1,1,1,1,1,1,1,1,1,1,1,2,7,3,1,1,1,2,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,1,1,1,1,1,3,1,1,1,1,1,3,1
,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,3,1,1,2,2,1,2,2,2,2,2,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,4,2,4,2,2,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,2,1,1,1,1,4,2,1,1
,1,1,1,1,1,1,1,1,1,2,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1
,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],[193050,4050,210,250,
2700,630,216,4050,210,110,90,90,18,50,50,18,30,18,6,22,210,18,30,6,210,30,18,6
,180,28,10,18,6,4,60,40,90,10,50,2,18,18,2,90,18,18,22,18,6,2,18,6,8,22,18,18,
18,6,8,210,10,18,6,6,30,6,6,2,20,6,6,6,6,6,4,4,4,2,4,4,10,2,2,2,10,10,20,2,2,6
,2,6,6,6,2,6,2,4,4,4,72,270,210,90,24,20,54,6,20,12,180,24,18,20,12,12,2,2,10,
6,2,6,6,2,2,6,6,24,12,4,90,8,6,22,18,18,18,18,2,18,2,2,18,18,18,8,10,10,20,2,2
,2,2,2,2,2,4,4,4,10,10,20,6,6,6,2,2,2,2,2,2,2,2,2,4,2,2,2,6,6,2,2,2,2,2,2,2,2,
2,2,4,4,4,2,4,6,4,4,4,4,6,4,4,4,4,6,4,4,4,4,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6
,2,2,2,2,2,2,4,4,4,2,2,24,12,4,60,12,12,210,30,10,10,20,6,6,2,4,2,30,10,14,10,
6,6,6,4,2,4,2,2,4,2,16,4,12,12,2,2,6,6,2,2,2,10,4,2,2,24,12,4,8,4,4,4,8,4,8,18
,2,18,18,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,20,10,4,4,4,2,2,2,2,2,2,2,2,2,2,4,4,
4,4,10,10,2,2,2,2,2,2,2,2,2,2,2,4,2,6,6,4,4,4,4,4,2,2,2,4,2,2,2,2,2,2,2,2,2,4,
2,2,2,2,2,2,2,4,4,4,2,2,2,2,2,2,24,18,18,8,4,4,30,6,6,10,4,6,6,2,6,2,2,2,15,18
,6,10,9,12,10,6,2,2,2,6,6,10,2,2,2,2,2,4,2,2,2,2,2,4,2,2,6,6,4,4,8,4,4,8,4,2,5
,12,18,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,4,2,2,2,2,2,4,4,4,4,2,
2,2,2,2,2,2,2,2,24,4,6,4,8,6,6,4,2,4,4,4,4,4,15,5,3,1,10,4,2,2,2,2,8,2,2,6,2,6
,5,1,2,1,6,2,2,2,2,2,2,4,2,2,2,2,2,2,3,2,2,4,2,4,2,8,4,6,6,2,4,4,4,2,2,2,1,2,4
,2,2,2,2,2,2,2,2,2,6,6,4,6,4,4,2,30,10,5,2,2,10,2,6,5,1,1,1,1,1,9,3,2,2,4,3,3,
1,1,2,4,2,2,2,4,2,2,1,1,1,4,2,2,2,6,2,2,2,4,6,2,4,2,2,2,2,1,3,1,2,2,4,2,2,1,2,
2,2,2,1,1,1,1,1,6,4,2,3,2,2,4,2,2,2,1,1,1,1,2,1,2,3,1,2,1,5,2,2,1,2,1,1,2,1,1]
,[180180,4788,180,852,11340,1008,144,1764,252,44,164,292,36,84,36,20,12,108,36
,12,84,36,4,4,140,812,168,60,228,72,24,564,60,48,164,12,36,12,20,20,12,44,12,
12,12,12,36,12,36,36,12,12,12,12,36,84,4,36,12,12,12,12,4,4,12,4,4,4,4,4,4,4,4
,4,4,4,4,12,12,12,4,4,4,1008,144,144,140,12,28,12,28,1764,204,44,48,20,12,204,
72,48,20,28,20,24,12,36,12,76,52,12,4,24,32,4,24,24,8,8,24,16,4,8,24,4,20,8,44
,36,12,12,12,12,12,12,20,12,12,12,12,12,4,4,4,4,4,4,4,4,4,4,4,12,12,12,4,4,4,4
,4,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,168,72,
24,24,140,12,48,8,48,4,4,12,12,4,12,12,12,4,28,4,4,4,12,4,4,4,4,84,24,36,4,16,
4,8,4,24,8,4,8,8,16,4,4,4,8,8,164,36,20,12,12,20,20,52,12,4,4,4,24,12,12,4,4,4
,4,24,12,8,8,8,24,4,4,8,4,4,4,8,4,4,4,8,4,8,4,4,144,20,8,4,12,8,12,8,4,12,12,
12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,204
,48,48,48,20,8,24,8,48,24,24,8,12,4,4,12,8,12,4,4,4,4,4,4,4,4,4,4,4,12,12,12,
12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,44,36,12,12,20,20,12,44,20,12,12,
20,4,12,4,12,12,4,4,8,4,4,8,4,4,4,12,8,4,4,4,4,12,4,8,4,4,4,4,4,8,4,4,4,4,8,8,
8,8,4,4,4,4,4,4,4,4,4,4,4,4,4,48,24,8,140,4,4,4,4,12,4,8,4,4,4,4,4,4,12,4,4,4,
4,4,4,4,4,4,4,24,16,8,8,8,4,24,24,12,4,52,12,24,4,4,4,20,4,12,4,8,4,4,12,4,4,4
,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,4,4,4,12,12,12,4,4,4,
4,4,4,4,12,4,4,4,8,4,12,4,4,4,4,8,12,4,4,4,4,4,4,4,4,4,4,4,4,48,8,12,28,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,44,20,20,12,20,8,4,4,4,20,4,4,8,4,8,8,4,4,8,4,
4,4,4,4,4,4,4,4,4,4,4,4,20,8,4,8,12,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,24,12,8,4,
4,4,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,8,12,8,4,4,4,4,4,4,4,4,8,
4,4,4,4,12,8,4,4,4,4,4,4,4,20,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,12,12,
12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,
12,4,4,4,4,4,4,4,4,4,4,4,4,4,4],[180180,6804,180,372,11340,1008,144,1764,840,
44,84,164,36,84,36,20,12,72,24,12,280,24,20,4,140,1540,420,60,72,12,504,84,72,
84,60,36,12,20,20,12,44,12,12,12,12,36,12,36,24,12,12,12,12,24,280,20,24,8,8,
12,12,4,20,8,4,4,4,4,4,4,20,20,4,4,4,4,8,8,12,4,4,4,1008,144,144,140,12,4,12,4
,1764,204,44,48,20,12,204,102,48,20,18,12,44,6,24,150,36,24,12,28,24,12,8,30,
10,4,12,12,10,90,6,6,34,8,4,20,8,44,24,12,12,12,12,12,12,20,12,12,12,12,12,20,
20,4,4,4,4,4,4,4,20,20,8,8,8,4,4,4,4,4,4,4,4,4,4,4,4,4,8,12,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,8,4,4,4,4,4,4,4,420,12,130,18,48,16,72,30,2,6,2,4,4,4,4,12,4,4,4,4,4
,4,4,280,90,24,20,6,4,90,6,2,2,2,6,6,6,2,6,84,36,24,12,24,24,6,20,6,24,12,6,8,
8,8,6,6,6,18,6,12,6,4,4,4,4,12,10,10,10,34,6,2,2,4,8,8,2,6,2,2,2,2,2,6,2,2,2,6
,6,8,8,2,2,144,20,8,4,4,12,12,12,12,20,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4
,4,4,4,4,4,4,4,4,4,4,4,4,4,204,48,48,48,20,20,12,4,4,48,12,12,12,30,6,10,18,4,
4,4,4,4,4,4,4,4,4,4,4,4,2,2,6,2,2,2,2,2,2,2,2,2,8,44,24,12,12,20,6,20,12,44,20
,12,12,20,6,20,12,4,8,8,4,4,6,4,6,20,4,6,10,4,4,4,8,6,6,6,2,8,4,2,6,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,6,2,2,2,6,6,6,6,2,8,2,2,2,2,8,8,8,2,2,2,2,2,2,2,2,48,16,140,
10,2,4,4,4,4,6,2,4,4,12,4,4,4,4,4,4,4,4,4,4,90,6,12,34,6,4,18,8,24,12,12,6,4,4
,4,4,24,18,2,6,6,4,2,2,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,8,20,4,12,12,12,20,
4,4,4,4,4,6,8,4,4,4,6,4,12,4,4,2,8,2,2,2,6,8,2,4,4,4,4,2,2,2,2,2,2,2,2,48,8,30
,6,12,4,4,4,4,4,4,4,2,2,2,2,4,44,20,20,12,20,6,2,6,2,2,2,20,4,8,2,2,8,6,6,6,8,
4,10,2,2,4,2,2,2,2,2,2,20,8,4,4,12,12,12,4,4,4,4,4,4,4,4,2,4,4,4,4,12,18,4,6,4
,4,4,4,2,2,2,6,2,2,2,2,2,2,4,4,4,4,2,2,2,2,20,4,12,6,8,2,6,4,4,6,8,2,4,2,2,2,2
,2,8,6,2,2,2,2,10,2,6,4,4,4,4,4,20,4,2,4,4,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,2,2,8
,12,12,12,4,4,2,4,4,2,4,4,4,4,4,2,2,2,2,2,2,8,4,2,6,4,2,2,2,2,2,2,2,2,4,4,4,4,
2,2,4,4,2,2,2,12,2,2,4,4,4,2,2,2,2,2,4,2,2,2,2,4,2],[180180,1764,420,148,11340
,1008,144,1764,56,44,44,12,52,52,12,48,24,4,4,140,140,140,4,12,12,8,204,76,4,
48,12,4,14,44,52,12,12,44,12,12,24,12,12,14,24,12,12,12,14,4,2,4,4,4,4,2,2,2,2
,2,2,4,4,2,2,2,1008,144,144,140,28,4,28,4,1764,204,44,48,20,12,204,48,32,20,20
,4,4,28,12,4,4,4,12,4,16,4,4,4,4,20,8,44,14,24,12,12,12,12,12,12,12,12,14,2,2,
2,2,2,2,2,2,2,2,4,2,2,2,2,4,2,2,2,2,4,2,2,2,2,4,2,2,2,8,4,20,12,12,8,4,4,8,8,
48,4,4,16,4,4,28,4,4,4,4,4,4,16,4,4,2,2,2,2,2,4,44,52,2,20,2,12,4,2,2,14,20,20
,4,4,12,4,4,4,4,14,16,4,4,4,4,4,2,4,2,4,2,2,2,144,20,8,4,4,4,4,4,4,14,12,12,12
,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,204,48,48,48,20,4,48,4,4,4,4,4,14,4,4
,4,16,4,4,4,14,4,4,4,4,4,2,2,4,2,4,2,4,2,2,2,4,8,44,24,12,20,12,12,2,2,44,20,
12,12,20,2,2,14,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,8,8,4,140,4,4,4,4,4,4,4,4,12
,2,2,2,2,2,2,2,2,4,12,4,4,4,4,2,20,4,2,4,4,14,4,4,4,4,4,2,2,2,2,2,2,2,2,4,2,2,
2,8,4,4,2,2,2,14,2,12,12,2,2,2,2,4,2,12,2,2,2,2,4,2,2,2,2,2,48,4,28,4,4,4,4,2,
4,4,2,4,2,2,2,44,20,20,12,20,2,20,4,4,2,4,2,2,2,2,2,2,20,8,4,4,12,12,12,2,2,2,
2,2,2,2,4,4,4,16,4,4,4,4,4,4,4,2,2,2,2,2,2,12,2,2,4,2,2,4,2,2,2,4,4,4,4,2,2,2,
2,20,14,4,4,2,4,2,2,4,4,2,2,2,8,12,12,12,2,2,2,2,4,4,4,4,4,4,2,2,4,2,2,2,2,4,2
,2,2,2,4,4,2,2,2,2,12,2,2,4,4,4,2,2,2,2,4,2],[180180,13356,60,740,15120,945,36
,4032,3276,60,200,740,60,60,16,16,180,48,4,952,48,60,4,840,3696,945,35,168,3,
12,33,6,840,32,35,33,3,2,200,740,16,16,16,16,16,60,60,60,60,180,4,4,4,4,48,952
,200,48,48,48,16,16,16,60,12,12,4,4,4,4,4,60,200,4,4,4,4,12,48,16,16,945,36,36
,840,36,36,4032,105,240,12,60,3,3,240,168,3,3,32,8,9,3,1,840,35,168,40,9,9,32,
32,1,1,3,3,3,3,3,33,8,3,2,240,3,8,1,40,1,3,60,60,180,48,60,60,16,16,16,4,4,4,
60,60,12,12,12,4,4,4,4,4,4,4,4,60,200,12,12,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,48,48,48,16,16,16,16,16,16,16,16,12,48,4,4,4,16,16,12,12,4,4,945,12,33,6,6
,35,195,3,3,12,12,36,6,2,2,33,2,210,12,6,12,6,12,36,6,2,2,952,105,240,35,48,60
,9,3,12,3,3,8,4,2,1,1,240,40,3,3,8,8,8,8,1,1,1,1,1,1,200,35,16,3,9,8,2,4,1,1,
32,8,1,3,40,168,3,3,3,3,3,1,1,1,1,32,32,8,8,3,9,40,1,3,8,1,1,40,1,1,3,8,1,40,1
,1,3,8,1,8,1,8,1,36,60,6,6,60,4,16,60,12,12,4,4,4,4,4,4,4,4,4,4,4,16,4,4,4,12,
48,4,4,4,4,4,4,4,4,16,16,16,16,16,12,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,4,12,4,4,
4,105,9,1,240,12,3,3,3,195,35,3,3,3,3,9,12,33,2,2,2,1,1,6,3,3,33,3,3,2,9,33,3,
1,1,3,2,2,3,3,1,1,12,6,12,36,2,6,2,2,2,2,2,60,3,48,16,3,3,9,4,1,60,3,200,35,16
,16,3,3,3,3,3,48,3,9,9,9,12,1,1,1,1,4,4,8,2,60,3,4,1,32,8,1,3,12,3,1,40,3,1,1,
1,1,1,1,8,8,8,1,8,8,1,1,8,1,8,1,8,1,36,12,6,6,2,840,105,60,12,6,6,4,16,4,4,4,4
,12,4,4,4,4,4,4,4,4,240,12,3,8,2,1,1,1,35,3,3,3,9,1,1,1,3,3,40,12,1,3,3,2,3,40
,12,1,1,3,2,1,3,9,1,3,3,3,33,9,1,1,3,3,3,3,1,1,2,8,2,1,3,3,1,1,3,3,1,1,1,1,3,3
,1,1,1,1,1,1,1,1,1,1,1,1,1,12,2,2,6,2,2,2,60,4,3,1,16,4,1,3,60,12,3,3,4,4,4,4,
1,1,1,1,1,1,3,12,48,16,16,1,1,1,1,9,3,3,3,3,3,4,4,4,1,4,1,3,12,4,1,1,1,12,3,1,
1,1,4,3,12,1,1,1,4,4,1,8,1,36,12,12,3,6,2,6,2,2,2,210,35,6,3,36,9,12,2,2,6,4,
60,3,3,3,40,12,1,1,1,3,8,2,2,2,1,1,3,3,1,1,3,3,3,1,1,1,1,3,3,1,1,9,1,1,1,1,1,3
,3,3,8,2,1,8,2,1,8,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,60,12,16,4,3,1,4,1,
4,1,4,1,12,3,1,1,1,1,1,1,1,4,4,4,4,1,4,4,1,1,12,3,3,3,6,2,1,1,2,2,2,1,1,2,12,3
,6,3,12,3,36,9,2,6,3,1,12,2,1,2,2,60,4,3,1,4,1,12,3,3,1,1,1,3,3,1,8,2,1,1,1,1,
1,1,1,1,1,1,1,1,105,60,12,6,2,6,2,4,1,3,3,3,1,1,1,1,1,1,1,1,2,12,3,2,1,2,6,3,1
,2,1,2,1,2,1,2,12,3,4,1,1,1,4,1,4,1,1,1,35,3,12,3,9,6,2,3,1,1,1,1,1,1,2,1,12,4
,1,3,3,12,3,9,1,3,3,2,1,2,1,1,1,12,2,2,1,3,3,1,2,1,1,1,1,3,2,1,3,1,1,1],[
180180,8316,140,740,12600,126,18,36,4536,1372,180,240,420,44,76,40,24,132,48,
12,532,60,60,4,840,1680,112,30,136,10,12,12,6,6,6,360,56,20,18,8,2,2,240,260,
40,16,24,24,16,180,44,28,44,84,12,12,12,12,48,532,100,60,36,36,20,20,12,60,24,
12,4,4,4,8,4,60,100,4,4,4,8,24,36,20,12,105,12,6,9,3,840,36,36,3780,112,4,9,4,
3,2,180,40,18,4,24,12,6,4,4,240,20,72,48,12,6,32,16,6,4,6,8,4,4,12,12,12,2,2,2
,60,12,4,2,16,4,6,6,180,60,48,20,28,24,16,16,12,12,12,60,60,12,12,12,4,4,4,4,4
,4,4,4,60,100,12,24,24,24,4,4,4,4,8,8,8,8,8,4,4,8,4,4,8,8,24,36,24,20,12,12,12
,12,8,8,12,24,24,4,8,8,8,12,12,12,4,4,105,12,9,6,2,3,1,2,15,15,7,7,4,4,6,6,4,4
,1,3,1,3,9,2,2,90,12,14,36,2,36,36,2,2,2,420,112,20,48,12,8,4,9,3,4,2,2,2,1,2,
1,60,16,12,6,4,4,4,4,4,2,2,2,2,2,120,20,28,8,12,2,1,1,2,2,8,12,4,2,48,40,4,2,4
,2,12,6,4,4,4,8,16,12,12,2,6,16,4,6,4,2,2,16,4,2,6,4,2,16,4,2,6,4,2,4,2,4,2,3,
6,2,2,20,12,16,60,12,12,4,4,4,4,4,4,4,4,4,4,4,8,8,4,4,24,24,4,4,8,8,8,8,8,8,8,
8,8,8,12,12,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,4,12,4,4,4,105,9,1,4,9,4,1,1,15,15
,7,3,7,3,3,4,3,6,2,3,3,4,2,1,2,2,1,9,1,9,9,1,2,2,3,3,3,3,3,3,2,2,2,3,3,1,1,36,
2,12,12,6,6,2,2,2,2,2,90,12,12,12,2,4,6,6,4,3,2,60,20,16,8,8,4,4,4,2,24,12,12,
6,6,18,4,4,1,1,6,2,2,2,30,6,2,2,8,12,4,2,6,6,2,16,6,4,2,2,2,2,2,4,4,4,2,4,4,2,
2,4,2,4,2,4,2,3,3,3,1,1,1,1,840,105,6,2,2,2,4,8,8,4,4,4,12,4,4,4,4,4,4,4,4,4,9
,4,2,1,2,1,1,15,7,3,3,3,3,1,1,9,1,4,3,3,4,1,2,2,1,4,3,4,1,3,2,1,2,9,9,1,1,3,3,
3,3,3,3,3,1,3,1,3,3,2,2,2,2,1,3,3,1,1,3,3,1,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,12,2,6,2,2,2,2,3,2,2,1,4,6,4,2,30,6,6,6,2,2,2,2,2,2,2,2,2,2,12,18,12,4,8,4,4
,4,4,6,2,2,2,2,4,6,6,2,1,2,2,6,6,2,2,2,2,6,6,2,2,2,2,6,6,2,2,2,2,2,2,4,2,3,3,3
,1,1,1,1,1,1,1,1,1,90,15,14,7,36,9,2,2,2,2,4,3,2,9,1,4,3,1,4,2,2,1,3,2,2,2,1,2
,1,1,1,3,3,3,3,3,1,1,1,1,3,3,1,1,3,3,1,1,3,3,1,1,3,2,1,2,2,2,1,2,1,2,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,2,6,3,4,6,2,4,2,1,2,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,3,1,1,1,1,1,1,1,1,1,1,1,1,1,36,9,2,1,12,3,12,3,6,6,3,3,2,2,1,2,2,3,2,
2,1,2,1,3,3,1,1,2,2,3,1,3,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,105,6,3,2,1,2,1,2,2,1,
1,1,1,1,1,1,1,1,1,1,1,12,3,2,1,6,2,1,3,2,1,2,1,2,1,2,3,2,2,2,1,1,1,2,1,1,1,2,1
,15,7,2,1,9,2,1,1,1,1,1,1,1,1,2,1,3,2,1,9,1,2,1,3,3,3,3,2,1,2,1,1,1,3,1,1,3,1,
3,1,2,1,1,1,1,1,1,1,1,1,1,1],[180180,10836,180,820,13230,315,9,4032,2436,60,
200,660,84,116,48,32,220,60,12,672,64,20,4,840,2478,315,30,25,174,9,3,27,3,3,
558,94,25,9,27,9,1,200,580,48,24,32,32,24,60,84,68,84,180,12,12,12,12,60,672,
140,64,48,48,28,28,20,20,16,8,4,4,4,8,4,20,140,4,4,4,8,16,48,28,20,315,9,9,840
,36,36,3780,105,45,3,108,9,120,9,6,16,9,54,6,20,7,1,5,3,516,22,18,14,25,138,36
,12,8,7,7,64,44,6,3,3,5,9,5,5,9,27,18,3,1,3,3,9,1,66,1,10,2,3,3,10,18,2,3,1,1,
15,60,160,60,60,68,32,24,24,12,12,12,20,20,8,8,8,4,4,4,4,4,4,4,4,20,140,8,16,
16,16,4,4,4,4,8,8,8,8,8,4,4,8,4,4,8,8,40,48,40,28,20,20,20,20,16,16,20,16,40,4
,8,8,16,20,8,8,4,4,315,3,27,3,3,3,25,75,9,27,3,3,9,3,1,1,9,3,3,27,9,9,1,150,4,
18,12,6,12,36,6,2,2,630,105,45,25,54,9,9,3,5,3,1,66,10,6,6,4,18,1,1,10,10,10,8
,1,1,1,1,2,4,2,2,4,3,3,3,1,140,25,36,9,9,3,5,1,34,20,12,6,6,3,3,36,12,6,8,8,8,
6,6,120,16,12,14,10,12,6,6,6,6,3,3,5,3,9,3,3,3,3,34,44,3,18,18,9,7,1,18,10,6,6
,3,1,8,2,4,2,1,1,1,10,6,6,18,2,2,4,1,1,1,8,3,1,18,10,6,6,1,1,1,4,2,8,2,3,1,2,
10,4,4,1,2,8,4,6,1,9,15,3,3,3,3,60,12,24,20,8,8,4,4,4,4,4,4,4,4,4,4,4,16,8,4,4
,16,40,4,4,8,8,8,8,8,8,16,16,16,16,20,8,4,4,4,4,4,4,4,4,8,8,4,4,4,4,4,4,8,4,4,
4,105,9,1,45,3,75,25,9,5,27,15,7,3,21,1,3,3,3,1,1,1,1,1,3,9,3,3,3,9,9,9,9,1,27
,9,3,3,1,9,3,3,1,7,21,1,1,3,3,1,1,3,9,5,3,3,9,3,9,15,1,1,1,1,3,1,3,3,3,3,3,1,
12,6,4,28,6,10,2,2,2,2,2,30,3,30,3,3,3,20,3,5,7,6,1,3,10,6,6,120,25,24,16,9,5,
5,5,3,38,3,9,7,7,12,3,3,6,3,1,1,5,3,3,3,1,10,1,2,1,1,1,10,12,10,34,18,6,6,6,8,
6,6,6,3,3,4,4,4,1,1,1,1,10,6,6,6,6,6,6,4,4,4,4,18,1,1,1,1,1,1,1,8,8,8,4,2,4,4,
4,4,4,2,4,2,2,3,1,4,4,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,4,10,8,4,4,4,4,4,4,6,4,4,1
,1,2,2,4,4,4,4,6,4,8,1,2,2,2,2,2,2,2,2,4,4,4,6,4,4,8,1,2,2,4,4,4,4,4,6,8,1,2,2
,2,2,2,2,2,2,9,9,3,9,3,3,3,1,840,105,15,3,3,3,1,3,1,1,1,1,3,3,1,4,16,8,4,4,4,8
,4,4,4,4,4,4,4,4,45,3,5,3,1,25,9,5,5,7,3,1,1,9,3,9,1,9,9,3,3,1,9,9,3,3,1,3,9,1
,3,3,1,1,21,7,1,3,1,1,1,1,1,9,9,15,9,5,3,3,3,3,3,3,3,1,5,3,1,3,1,1,1,1,1,3,1,3
,3,1,1,1,1,1,3,3,1,3,9,3,3,9,9,3,1,1,3,1,3,1,3,1,3,3,3,3,1,3,3,1,1,1,3,1,1,1,1
,3,3,1,1,3,1,1,1,4,2,6,6,2,2,2,12,6,3,3,10,4,1,1,2,2,2,2,1,1,1,1,1,1,1,1,1,1,
10,6,6,3,12,30,12,16,3,3,3,3,7,3,3,3,3,5,6,6,3,3,3,1,2,1,1,4,2,1,1,1,1,1,4,4,2
,2,2,2,2,2,4,4,4,4,4,1,1,1,1,2,1,1,4,4,4,4,1,4,1,1,1,1,1,2,2,2,2,2,2,2,2,1,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,6,4,4,4,8,1,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,9,9,3,9,3,3,9,3,3,3,3,3,3,1,3,1,9
,9,3,3,3,3,1,1,3,1,1,1,1,3,1,1,150,25,18,9,36,9,3,3,1,1,1,1,3,3,1,1,1,1,1,4,3,
3,3,3,3,1,9,3,9,5,5,3,3,3,1,1,1,3,1,1,1,3,3,9,3,9,3,3,1,1,1,1,1,1,1,1,1,3,1,1,
3,1,7,3,1,1,3,3,3,3,5,3,3,3,3,1,1,5,1,1,1,1,1,3,3,3,1,1,5,3,1,5,1,3,1,3,3,3,1,
1,1,1,1,1,1,3,1,1,3,1,1,3,1,1,1,1,1,3,1,3,3,1,1,1,1,1,1,3,1,1,1,3,2,15,3,12,6,
3,3,2,1,2,1,4,1,1,1,1,1,1,1,1,2,2,2,1,1,4,4,2,2,2,2,1,2,2,2,2,2,1,1,2,2,2,2,2,
2,2,2,2,2,2,3,3,3,3,3,9,9,3,3,3,3,9,3,3,1,1,1,3,3,1,3,1,1,1,3,1,1,3,1,3,1,3,3,
3,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,12,3,6,3,4,1,28,7,6,10,5,3,2,1,3,1,1,1,1
,1,1,3,3,3,1,3,3,3,1,3,3,3,1,3,3,1,1,1,1,3,3,3,1,1,3,1,1,1,1,3,3,3,5,3,3,3,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,3,1,1,1,1,105,15,3,3,3,3,1,3,1,3,3,2,2,1,9,3,3,3,1,3,1,1,1,
3,1,1,3,1,1,1,1,1,1,1,1,1,3,1,1,1,1,3,3,3,3,1,1,1,1,1,1,3,1,1,1,1,1,4,1,2,1,6,
6,3,3,2,1,2,1,2,1,1,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,25,9,9,3,3,3,1,1,1,1,1,1,1,1,1,3,3,3,3,1,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,2
,1,3,1,1,3,3,7,3,5,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,1,1,3,3,1,1,1,1,1,1
,1,3,1,1,3,3,1,1,1,1,1,3,1,1,1,1,1,1,1],[171600,240,240,80,2400,420,24,150,240
,40,16,16,24,8,2,2,32,20,6,12,12,8,30,40,16,8,8,8,8,6,48,24,24,6,12,3,3,240,6,
10,12,4,6,6,12,16,4,4,2,2,2,6,2,8,8,8,2,2,2,2,2,6,8,1,1,3,30,6,6,16,10,2,2,4,4
,2,16,4,2,6,3,3,3,3,3,2,2,2,8,6,6,6,6,12,4,6,2,2,3,3,1,1,2,6,2,2,2,8,2,2,2,2,2
,3,1,1,1,1,1,5,2,6,2,2,2,4,4,2,1,3,2,2,2,2,2,8,2,2,6,3,3,3,3,3,1,1,1,2,2,1,5,2
,2,2,2,2,2,1,1,1,1,1,2,2,3,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[
154440,15120,120,30240,2520,15120,2520,120,120,120,2520,120,6720,6720,2520,120
,720,120,720,120,120,120,120,2520,120,120,120,120,120,120,120,2520,6720,15120,
2520,720,120,720,720,120,720,120,120,120,120,120,120,120,120,120,2520,120,120,
720,720,2520,2520,720,120,120,120,720,120,120,120,120,120,120,120,120,120,120,
2520,720,120,120,120,120,120,120,120,120,120,6720,2520,120,120,720,120,120,120
,120,120,120,720,120,120,720,120,120,120,120,120,120,120,2520,120,120,120,120,
720,120],[154440,12312,120,744,18900,630,7560,2904,240,744,120,120,24,24,240,
60,1260,60,2520,3780,630,60,90,168,6,18,720,60,90,18,6,90,240,744,24,24,24,24,
24,120,120,120,240,60,1260,240,60,60,60,24,24,24,240,60,24,24,630,2520,24,72,
24,72,7560,630,90,90,168,60,6,60,6,6,18,6,720,60,60,60,90,168,18,6,6,18,18,60,
60,6,6,6,6,18,6,6,90,6,6,18,18,6,6,240,60,120,120,24,24,24,240,60,60,60,24,24,
24,24,24,24,24,24,60,24,24,630,18,90,90,6,6,18,360,24,24,24,24,24,24,72,24,90,
1260,630,90,90,60,18,6,6,90,6,6,6,6,18,6,6,6,6,240,90,24,6,18,6,60,6,60,6,6,18
,6,6,6,6,6,6,6,168,60,60,60,60,60,6,6,6,6,60,60,6,6,6,18,18,6,6,6,6,6,6,6,18,6
,18,6,6,6,6,6,6,6,6,6,6,6,120,24,24,60,24,24,24,24,24,630,18,90,90,90,6,6,6,6,
18,18,6,18,6,18,18,6,6,24,24,24,24,24,72,24,24,24,18,6,6,60,6,24,6,6,18,60,6,
240,90,24,24,6,6,6,6,6,60,18,18,18,6,6,60,60,60,60,6,6,6,6,6,6,6,6,6,6,6,6,6,6
,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,2520,630,24,90,6
,90,6,6,6,18,6,18,6,18,6,18,6,18,18,6,6,6,6,6,6,6,24,24,24,24,6,6,6,24,6,60,6,
60,24,24,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,360,90,24,6,24,72,18,6,6,18,
6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,24,90,6,24,6,6,24,24,6,72,24,24,18,24,6,6,6,6
,6,6,6,6,6,6,630,24,24,24,24,6,6,6,90,6,18,24,6,18,6,90,6,18,6,6,6,6,6,6],[
154440,9288,360,552,18900,630,7776,1260,120,192,264,72,168,96,48,108,36,24,840
,72,2520,2940,630,180,30,144,18,18,360,108,30,18,18,90,192,120,96,24,48,48,24,
120,72,24,72,36,24,24,24,24,36,840,60,72,24,24,36,36,12,24,12,60,12,24,24,36,
12,630,2520,72,48,72,48,7560,630,90,180,18,18,12,54,36,18,24,6,6,270,108,72,36
,30,60,48,36,24,54,18,12,6,6,6,18,6,6,18,18,18,90,6,18,6,6,18,6,120,36,24,48,
24,24,24,24,24,60,24,24,24,12,12,12,12,12,12,12,12,24,36,12,12,12,12,12,24,12,
12,12,630,18,30,30,18,18,18,180,36,36,24,12,72,24,24,36,48,12,12,90,840,630,90
,30,72,18,18,6,90,18,6,6,6,6,6,6,6,6,120,30,72,18,18,6,24,18,12,18,6,48,36,18,
24,24,24,18,18,18,54,18,36,18,12,12,12,12,6,18,6,6,6,6,18,18,18,6,18,6,6,6,18,
6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,24,24,12,24,12,12,12,12,12,12,12,630,18,90,30
,30,18,6,18,6,6,6,18,18,18,6,6,6,6,12,36,12,12,12,12,24,12,36,12,12,12,12,6,18
,6,60,18,6,24,6,12,6,12,18,60,30,36,12,18,6,6,6,24,18,18,24,6,6,12,6,6,18,18,
12,12,12,24,18,18,18,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,2520,630,12,90,6,30,18,6,6,6,18,6,18,6,18,18,18,6,6,6,6,
6,6,6,6,6,12,12,12,12,12,6,6,6,12,6,12,18,18,24,12,6,6,6,6,6,12,12,6,6,6,6,6,6
,6,6,6,6,6,6,6,6,180,30,36,18,72,48,18,18,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6
,12,90,6,12,6,6,36,18,24,12,12,36,12,12,12,12,6,6,6,6,6,6,6,6,6,6,6,630,12,12,
12,12,12,6,6,6,30,18,18,12,18,6,6,90,6,6,18,6,6,6,6,6],[154440,7920,600,18900,
630,7776,636,120,160,200,48,108,24,632,96,8,2520,2520,630,180,30,240,60,30,90,
160,120,24,36,24,632,96,32,32,16,20,8,4,8,20,32,16,630,2520,60,60,7560,630,90,
180,6,18,12,18,6,20,6,16,90,24,60,36,30,22,18,30,6,6,90,14,4,2,6,2,2,10,120,24
,12,8,4,8,4,4,20,20,20,8,4,32,16,8,8,20,8,4,4,630,30,30,90,30,4,36,6,36,60,6,2
,2,90,630,630,90,90,30,10,90,4,8,10,10,14,2,4,2,6,2,2,100,30,10,16,6,12,6,36,
12,12,18,6,10,6,6,6,2,6,2,2,2,2,4,2,2,4,2,2,4,10,8,6,2,2,6,6,2,8,4,4,20,8,4,4,
4,4,630,30,2,90,18,6,30,18,6,2,2,36,6,12,4,6,10,2,2,2,2,2,10,60,18,6,6,6,6,12,
6,12,6,30,18,30,18,10,6,6,4,2,2,6,6,2,2,2,2,4,2,2,2,2,6,6,4,2,4,2,2,2,2,4,2,10
,6,6,6,2,6,8,6,2,2,2,2,2,2,2,2,2,2,2520,630,4,90,10,18,6,18,30,2,6,10,2,2,2,2,
2,4,2,6,6,2,2,2,6,6,2,4,2,2,2,2,2,18,18,6,6,6,6,2,2,2,2,4,2,2,2,2,6,6,2,2,2,2,
2,2,2,2,2,2,2,2,2,90,30,60,30,18,6,6,6,6,10,6,2,2,2,2,2,2,2,2,90,2,2,2,2,2,36,
18,6,6,4,12,6,10,2,2,6,6,2,2,2,2,2,2,10,630,4,2,6,6,2,2,2,2,2,6,6,2,30,2,2,18,
6,2,90,2,10,6,6,2,2],[154440,9144,120,264,18900,630,7560,1260,80,168,24,56,24,
8,36,884,36,40,8,2520,2940,630,60,30,60,6,6,300,36,30,6,6,90,80,120,24,8,8,24,
8,24,12,840,60,24,8,8,12,12,4,40,84,8,8,8,4,8,20,20,12,630,2520,24,24,24,24,
7560,630,90,90,18,18,12,2,2,270,36,24,12,30,32,6,6,2,18,6,2,6,2,2,6,120,6,8,4,
2,12,20,4,2,6,6,6,2,8,8,20,8,4,4,4,4,60,8,12,4,4,4,4,4,8,12,8,4,4,8,12,16,8,8,
4,630,6,30,30,6,6,6,180,12,12,4,8,24,8,8,24,4,4,90,840,630,90,30,24,6,6,2,90,6
,2,2,6,2,2,2,80,30,24,6,6,2,2,6,6,6,2,2,2,18,18,6,12,6,2,6,6,6,2,2,12,8,8,20,4
,4,2,2,2,6,6,2,6,6,2,2,4,8,6,2,2,4,6,2,8,2,2,2,2,8,4,8,4,4,4,4,8,4,4,4,630,6,2
,90,30,30,6,2,6,2,6,2,2,6,6,2,2,8,12,12,12,4,4,4,4,4,4,4,4,4,6,6,2,8,2,60,30,
12,4,6,2,2,2,8,6,2,20,6,4,2,2,6,2,2,6,8,6,2,2,6,2,2,2,2,2,2,6,2,6,2,2,4,2,2,4,
2,2,2,2,2,2,4,2,4,2,2,2,8,6,6,6,2,2,2,2,2,2,2,2520,630,4,90,2,30,6,2,2,6,6,6,6
,6,2,6,6,2,2,2,2,2,2,2,2,4,4,4,4,4,2,2,2,4,2,4,2,6,8,4,2,2,2,2,2,6,2,2,4,2,2,4
,2,2,2,2,2,2,2,2,2,180,30,12,6,24,24,6,6,6,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,4,
90,2,4,2,2,8,12,4,6,12,12,4,4,2,4,2,2,2,2,2,2,2,2,2,2,630,4,4,4,4,4,2,2,2,30,6
,6,4,2,6,2,90,2,6,6,2,2,2,2,2],[154440,10656,240,408,18900,630,7560,2016,144,
360,48,56,8,72,24,8,1052,36,8,2520,3360,630,120,60,84,12,6,480,60,60,6,12,90,
140,360,48,4,4,12,60,8,4,20,1050,142,30,18,22,18,14,2,2,8,6,4,140,8,4,4,20,12,
4,630,2520,48,36,48,36,7560,630,90,90,72,12,12,6,6,6,2,480,48,12,60,72,14,18,6
,6,6,24,12,4,2,2,12,6,6,90,6,4,2,18,14,2,12,12,2,60,18,2,4,4,2,4,4,4,2,4,140,2
,8,4,4,4,2,4,2,2,20,18,18,12,4,2,2,2,18,2,2,2,4,2,630,6,60,60,12,12,6,270,18,4
,6,4,48,36,4,4,6,2,2,90,1050,630,90,60,30,6,12,2,90,12,4,2,12,6,2,2,4,2,2,4,2,
2,140,60,48,12,6,2,12,2,2,12,12,2,4,4,2,72,12,4,2,2,12,12,2,4,6,12,12,4,4,2,2,
12,4,12,2,4,2,14,18,2,2,2,4,2,4,2,2,2,4,2,2,2,2,4,4,2,2,18,2,2,2,4,2,2,2,2,2,2
,630,6,2,90,60,60,12,12,6,6,2,2,6,6,6,2,2,2,2,4,6,36,12,4,4,2,6,2,2,2,2,2,12,
12,2,18,6,4,2,140,60,12,12,18,6,6,6,2,2,2,4,2,4,2,2,12,2,2,2,2,2,2,2,12,4,2,2,
12,2,2,2,4,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,4,2,2,2,2,4,2,2,
2520,630,2,90,2,60,12,6,2,2,2,12,12,12,12,6,2,6,6,2,2,2,2,2,2,2,2,4,2,6,2,2,2,
2,2,2,2,4,2,2,2,18,2,6,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,270,60,18
,12,48,36,6,12,12,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,90,2,2,2,2,6,4,4,36,12,6,2
,6,4,2,2,2,2,2,2,2,2,2,2,2,2,630,4,2,6,2,2,2,2,2,2,2,60,12,6,2,6,2,2,90,2,12,
12,2,2,2,2,2],[154440,10800,600,18900,630,7776,2016,120,240,440,96,36,1092,60,
40,2520,3360,630,60,144,18,540,36,60,18,90,240,360,120,72,36,1092,160,60,36,36
,40,24,12,40,160,24,36,630,2520,60,60,7560,630,90,180,72,18,12,20,12,6,480,60,
96,48,6,6,24,16,18,18,8,120,6,8,24,4,6,12,6,120,60,36,40,40,12,12,12,40,160,12
,24,24,24,24,36,24,24,24,12,12,630,18,60,60,18,270,12,18,36,6,36,60,6,2,2,90,
1050,630,90,60,54,18,6,120,24,6,6,8,8,8,4,8,180,60,18,6,12,12,12,48,72,18,12,
16,8,8,6,24,6,4,4,24,6,4,24,6,4,4,8,8,4,4,6,2,2,40,12,12,24,24,12,12,12,12,630
,18,90,60,60,6,6,18,18,18,6,6,6,6,36,6,12,36,6,10,2,2,2,2,2,12,6,60,18,18,6,6,
12,140,60,30,18,18,6,6,18,6,6,20,6,12,8,6,6,24,6,4,4,4,8,4,4,4,8,4,8,8,8,4,4,4
,4,4,4,4,4,4,2,2520,630,12,90,6,60,6,18,12,12,18,18,6,6,6,6,6,6,6,6,6,12,2,6,6
,2,2,2,6,2,2,20,6,6,6,18,18,18,6,6,6,6,4,6,6,8,6,6,4,4,4,4,4,4,4,270,60,18,60,
18,18,6,12,2,6,6,6,6,6,6,2,2,2,6,6,2,2,90,2,6,6,4,36,18,6,12,6,36,6,6,10,2,6,6
,2,2,2,2,2,2,6,630,12,6,2,6,6,2,2,2,2,6,60,18,2,18,6,6,90,6,12,6,6,2,2,2],[
154440,7776,240,408,18900,630,7560,636,64,120,48,48,56,8,84,12,8,672,72,40,
2520,2520,630,120,120,12,18,180,84,18,12,90,60,48,4,4,12,24,24,8,4,8,630,2,66,
22,18,14,18,14,2,4,8,6,40,20,4,8,24,12,12,630,2520,48,36,48,36,7560,630,90,90,
6,30,6,12,12,10,2,90,48,12,24,36,2,18,6,30,18,4,2,2,12,18,4,6,120,6,8,12,12,4,
6,12,6,6,12,2,4,20,8,2,4,4,4,2,4,2,8,4,4,2,4,2,2,18,2,12,4,12,2,6,8,6,6,2,6,12
,6,2,630,18,12,12,18,90,12,30,6,4,48,36,4,4,6,2,2,90,630,630,90,66,18,12,6,90,
18,2,2,8,2,6,10,6,2,2,4,60,48,12,18,6,6,6,8,12,2,4,4,2,12,12,12,4,2,2,6,6,2,6,
12,4,2,2,4,2,12,12,2,6,2,12,4,2,2,4,2,8,6,2,4,2,2,6,2,2,2,4,4,2,2,2,2,6,4,2,2,
2,2,6,2,630,18,90,12,12,2,2,6,18,6,2,2,6,6,4,6,12,12,12,4,2,6,2,2,2,2,2,12,6,6
,6,6,4,2,6,12,12,12,6,18,18,2,2,2,4,6,6,20,6,6,2,2,6,6,12,4,2,2,2,2,2,2,2,2,6,
2,4,2,2,4,2,2,6,6,2,6,8,4,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2520,630,2,90,6,12,2,6
,12,12,18,6,6,6,2,2,6,2,2,2,2,4,2,6,2,2,2,2,6,2,2,2,4,2,2,6,2,6,2,6,6,6,2,2,2,
2,6,2,2,2,2,2,2,2,4,2,2,2,2,2,2,90,30,12,48,36,18,6,6,12,2,6,2,2,2,2,2,2,2,2,6
,6,2,2,90,2,2,2,2,6,4,6,12,6,12,12,2,6,4,2,2,6,2,2,2,2,2,2,2,6,630,4,2,2,6,2,2
,2,2,2,6,12,18,2,6,2,6,90,2,12,6,6,2,2,2],[154440,1080,360,344,5400,126,108,
1080,8,24,24,16,24,24,12,8,24,4,4,120,120,120,6,48,18,4,12,6,56,20,18,2,6,24,4
,8,8,24,4,4,4,4,4,2,4,2,4,4,4,2,2,36,120,24,24,1080,2,18,2,6,18,8,12,6,24,8,2,
8,8,6,6,4,4,2,2,4,2,4,6,4,2,6,8,2,4,2,4,4,4,4,2,2,2,2,2,2,2,12,2,12,6,6,4,2,8,
8,24,8,4,4,6,3,3,24,2,2,2,2,2,2,4,2,24,2,4,8,2,6,4,6,2,4,2,4,2,2,2,2,2,2,2,6,6
,6,4,2,2,2,2,2,2,1,18,2,6,4,2,2,2,2,2,8,4,4,4,4,4,2,4,1,3,2,1,1,8,2,2,4,2,2,4,
4,2,2,2,2,2,2,2,2,120,2,2,2,6,3,2,1,2,2,6,2,6,2,2,4,2,2,2,2,2,2,2,1,2,2,4,2,2,
1,8,24,2,2,2,2,3,1,1,1,2,2,2,2,1,2,2,6,2,1,8,4,4,2,2,1,2,1,1,2,6,2,1,1,4,2,2,1
,2,1,1,1,2,2,1,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[150150,8190,30,390,6300,420,
54,48,630,1890,10,70,390,30,30,6,6,2,90,18,2,210,18,10,2,1680,420,72,12,420,12
,12,6,70,390,6,6,6,6,6,10,2,2,2,2,30,30,30,90,2,2,2,2,18,210,70,18,18,18,6,6,6
,10,6,6,2,2,2,2,2,2,2,10,70,2,2,2,2,6,18,6,6,2,2,420,48,48,6,6,630,60,10,12,18
,4,2,6,2,60,72,12,4,12,4,2,420,72,24,12,12,12,12,4,60,4,24,4,10,90,18,2,2,2,2,
2,30,30,6,6,6,2,2,2,10,10,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,10,70,6,6,6,6,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,18,18,18,6,6,6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,6,18,2,2,2,
2,2,2,6,6,6,6,2,2,2,2,420,12,120,48,12,210,60,18,10,4,2,60,24,4,4,4,4,4,70,6,4
,2,6,6,2,2,2,12,4,4,24,72,12,12,12,4,4,24,4,4,24,4,24,4,4,4,4,4,4,48,6,6,30,2,
6,2,2,10,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,6,18,2,2,2,2,2,
2,2,2,2,2,2,2,2,6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,2,2,2,
2,2,2,2,2,6,2,2,2,60,12,12,12,4,2,120,12,12,12,12,12,12,10,18,2,2,4,6,2,2,2,10
,4,2,6,2,2,4,70,6,6,18,6,2,2,4,2,4,10,2,12,4,6,2,24,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,2,48,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,60,4,12,24,12,4,24,12,12,12,4,12,12,6,10,2,6,2,2,
2,2,10,6,2,2,2,2,2,6,18,6,6,2,2,4,2,2,6,2,2,2,6,2,4,6,2,2,4,6,2,2,2,2,4,4,4,4,
4,4,4,2,2,2,2,48,12,2,2,2,2,2,2,2,2,2,10,4,4,2,2,4,24,4,4,12,4,4,4,4,4,4,2,2,2
,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,12,12,2,10,2,2,
4,6,4,2,4,4,4,4,4,4,4,6,2,2,2,2,2,2,2,2,2,2,2,4,12,2,2,2,6,2,2,2,2,2,2,2,4,2,2
,4,4,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2],[144144,4032,720,15120,1764,72,4032,84,240
,240,240,36,12,84,36,784,24,784,84,216,60,12,600,12,240,240,12,12,84,36,12,12,
12,12,12,1764,72,72,784,72,24,72,4032,84,600,24,240,12,12,600,24,12,72,72,8,12
,12,8,24,160,4,240,12,12,12,12,12,12,84,60,12,12,160,24,4,12,72,4,72,72,4,4,4,
84,84,36,12,8,4,8,4,240,12,72,12,4,24,4,4,24,72,160,4,24,4,24,4,12,84,12,600,
24,12,12,12,24,4,12,12,12,72,4,4,4,4,4,4,4,240,12,12,240,12,12,12,12,12,12,4,
24,24,24,12,4,784,84,24,4,72,4,24,4,8,4,12,24,24,72,12,4,12,12,4,4,4,4,12,12,
12,24,24,12,4,4,72,12,72,4,4,4,4,4,240,12,12,4,4,160,24,4,4,4,4,12,4,72,12,4,4
,4,4,12,12,24,4,84,24,4,4,4,12,4,4,24,4,72,12,4,12,24,4,12,4,4,4,4,4,24,4,4,12
,4],[144144,4032,720,10080,126,36,72,3024,112,120,240,32,72,12,84,36,784,24,
672,98,144,18,12,12,240,30,120,16,24,12,84,36,12,12,8,12,8,84,24,12,18,6,784,
72,24,72,3024,112,16,18,10,12,8,16,18,10,48,16,6,18,6,2,6,40,16,12,8,12,8,4,4,
4,84,12,4,6,2,4,8,12,8,12,24,12,24,72,12,4,4,84,84,36,12,2,2,2,2,120,24,6,8,6,
6,2,2,24,6,40,16,12,8,12,8,4,84,12,16,18,10,4,4,4,4,4,12,4,24,12,4,4,4,4,4,4,
12,12,8,12,8,8,4,12,12,4,2,24,24,6,2,2,672,98,4,4,4,24,12,12,8,2,2,4,6,6,6,8,6
,12,4,4,4,4,4,4,4,4,24,6,4,2,2,48,18,24,12,4,4,4,4,12,8,4,2,2,8,12,8,4,4,4,4,2
,6,8,6,2,4,4,4,4,12,8,84,4,4,4,4,4,2,2,12,8,6,8,6,12,6,2,4,2,2,4,2,2,4,4,4,4,2
],[144144,8736,240,10584,1008,72,2016,1680,80,80,240,560,80,224,4,2464,840,48,
8,504,24,24,48,80,240,80,560,80,80,80,80,1008,72,72,224,16,4,16,2016,264,80,24
,8,264,96,24,8,24,24,8,400,48,16,8,240,32,8,8,44,8,4,80,80,80,80,80,840,8,124,
12,24,16,8,48,24,24,80,16,4,16,16,16,560,240,80,240,16,80,8,24,8,8,16,48,32,8,
8,8,16,16,8,8,4,72,44,8,4,4,4,4,4,80,264,24,24,24,8,80,8,24,24,8,28,16,8,4,12,
12,8,16,16,16,8,80,8,80,8,8,80,80,16,8,8,8,8,4,4,24,24,8,16,224,4,40,16,4,4,8,
8,4,4,4,4,4,240,32,8,12,8,16,4,8,8,12,4,4,12,8,4,4,4,16,8,4,4,80,80,8,4,4,4,24
,16,8,8,8,80,4,16,16,4,4,4,4,4,80,8,8,8,16,8,8,8,4,4,4,44,8,4,4,8,4,4,4,12,8,8
,4,16,16,16,16,4,80,8,8,4,4,4,4,40,4,8,8,4,4,4,4,8,4,16,8,4,4,16,4,4,4,4,4,4,8
,4,8,4,4,4,16,4,4,4,4,4,4,4,4,4,4],[144144,4032,720,10584,1008,72,2016,252,80,
160,240,108,36,84,36,224,4,672,84,192,52,12,528,72,48,160,80,36,36,84,36,12,12
,12,12,12,1008,72,72,224,32,4,32,2016,264,80,24,8,264,72,24,8,24,16,36,64,48,
36,36,12,12,12,12,12,12,4,24,44,8,4,80,36,12,12,12,12,12,84,52,12,12,126,30,24
,12,16,48,12,12,16,12,16,32,12,4,4,84,12,36,12,4,12,4,4,12,4,4,4,160,16,16,8,
48,12,12,12,12,12,24,4,4,4,4,4,72,44,8,8,4,12,4,12,4,8,12,264,24,24,24,8,4,12,
16,20,4,8,4,24,12,12,12,18,6,10,6,4,16,12,4,4,4,4,4,4,4,8,80,36,8,80,8,8,12,12
,4,4,12,12,4,4,4,4,4,4,4,4,24,16,12,12,224,4,2,6,4,16,4,4,6,12,6,4,2,6,6,8,4,2
,12,12,4,4,4,12,24,6,48,12,6,4,4,4,6,16,2,6,6,4,2,2,4,4,4,8,4,4,6,6,12,4,4,12,
4,2,2,8,24,8,4,4,8,12,12,32,16,4,4,4,2,4,2,2,2,6,2,2,2,2,2,2,80,8,8,8,4,2,8,4,
4,4,4,12,2,4,4,44,8,4,4,4,4,4,4,4,6,2,2,12,6,4,4,6,16,12,4,4,4,2,4,2,4,2,4,12,
4,4,4,4,2,2,2,6,4,12,4,6,8,2,4,2,4,2,8,4,2,4,4,8,4,2,2,2,16,4,4,2,2,6,2,2,2,2,
4,4,4,4,2,6,2,2,2,4,4,2,2,4,2,2,4,4,2,4,2,2,2,2,2,4,2],[144144,2016,192,240,
10584,1008,72,2016,80,80,80,16,16,224,4,224,32,48,24,8,8,264,24,24,24,80,80,8,
8,8,8,1008,72,72,224,16,2,4,16,2,2016,264,80,24,8,264,24,8,8,8,16,16,8,4,8,44,
8,4,80,8,8,8,8,44,24,12,8,8,8,8,24,2,16,16,16,2,8,4,4,4,80,8,8,8,8,16,4,4,4,72
,44,8,4,4,4,2,4,2,4,8,4,264,24,24,24,8,4,4,4,24,4,4,16,8,80,8,80,8,8,4,4,4,4,2
,8,8,8,224,4,2,16,4,4,4,2,4,4,4,2,16,4,4,8,4,4,8,4,4,8,4,8,4,2,4,2,4,24,4,4,2,
16,2,16,4,4,80,8,8,8,8,4,4,2,44,8,4,4,4,2,2,4,16,8,4,4,4,4,4,2,2,2,4,2,4,4,8,8
,4,2,16,4,4,4,4,4,4,4,4,2,4,2],[137280,6720,17760,1128,48,120,6720,560,560,
2240,2240,560,240,24,24,80,560,1128,120,120,48,48,48,48,48,2240,6720,560,240,
24,32,24,8,240,24,32,24,8,80,80,32,8,80,8,560,80,32,8,8,24,24,24,80,80,8,8,8,8
,560,560,80,80,32,8,120,48,48,48,80,8,560,240,24,24,24,24,24,24,24,32,24,24,24
,8,8,8,24,24,24,8,8,8,8,8,8,8,24,32,8,8,8,2240,560,8,8,8,8,8,8,8,80,32,32,8,8,
8,8,8,8,8,48,8,24,32,8,24,24,24,24,24,24,8,8,8,80,8,80,80,32,8,8,8,8,8,8,8,8,8
,8,24,8,560,8,8,8,8,8,8,8,32,8,8,8,80,8,8,8,8],[135135,4599,375,575,4725,63,54
,2079,651,103,159,279,63,135,79,39,39,107,39,31,231,39,35,11,105,525,21,125,33
,69,9,18,5,6,6,165,53,11,18,15,3,2,7,159,131,79,19,39,39,19,99,27,27,31,27,51,
27,63,59,7,31,27,27,27,39,7,231,51,39,23,23,5,19,19,11,33,5,5,5,5,15,7,9,9,9,7
,3,9,9,1,1,1,1,31,51,3,7,7,11,7,15,23,19,11,11,7,3,3,3,1,1,18,105,25,9,25,9,
945,21,6,1,9,3,1,3,135,15,9,13,23,9,21,9,15,5,2,3,1,75,53,41,21,11,33,27,27,15
,15,5,23,11,13,3,1,9,3,3,3,3,5,9,6,2,6,3,2,45,9,5,5,1,9,9,5,3,3,3,99,35,7,39,
31,27,27,27,27,15,27,39,19,19,27,27,27,7,31,31,3,7,7,7,7,7,7,7,3,7,3,3,7,7,3,3
,3,3,3,31,51,3,7,15,15,15,7,7,7,3,7,7,7,7,7,7,9,7,3,3,7,7,15,23,15,19,11,11,11
,11,7,7,11,7,7,7,7,7,9,9,9,7,3,5,3,3,3,3,5,3,3,3,3,5,3,3,3,3,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,15,15,11,7,7,7,7,7,7,11,3,3,3,1,1,7,7,3,3,3,3,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,18,6,2,6,6,6,6,2,2,6,2,15,3,7,3,9,13,9,1,9,25,9,9,9,9,9,9,13,1,5,1,5,
1,105,21,11,21,1,1,5,3,6,9,3,2,1,1,2,1,1,1,1,45,9,5,5,3,9,9,3,5,5,5,3,3,1,1,1,
3,3,3,1,3,5,1,1,45,11,25,1,3,5,2,2,1,1,1,1,1,1,7,5,15,11,9,9,1,3,27,27,9,15,15
,15,9,9,15,23,11,21,5,11,7,13,9,9,9,9,3,3,3,3,3,1,1,1,5,11,9,9,3,5,2,1,1,1,1,9
,9,5,5,5,3,3,3,3,3,1,1,1,9,5,5,9,5,1,3,3,1,3,3,3,1,9,9,5,5,5,3,1,3,3,3,3,1,1,1
,1,5,3,3,3,1,1,3,3,5,3,1,1,1,1,3,1,3,1,3,1,1,15,7,27,19,27,27,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,3,31,7,7,3,3,3,7,7,7,3,3,3,7,7,3,3,3,3,3,7,7,7,7,7,3,3,3,3,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,7,7,3,7,3,3,3,3,15,15,5,3,3,3,3,3,7,7,7,9,7,3
,7,7,7,7,7,7,7,7,7,7,7,11,3,7,3,3,3,3,3,3,3,3,1,1,1,1,1,1,7,3,3,3,7,7,3,7,7,7,
7,3,3,3,3,7,7,3,3,3,3,3,3,3,3,7,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,6,9,1,6,6,2,2,2,2,6,2,2,2,2,6,2,2,2,6,2,2,2,6,2,2,
2,7,1,9,9,9,13,9,9,9,7,9,9,9,9,9,1,1,1,1,3,3,7,3,3,3,3,3,3,3,3,3,1,1,3,1,1,3,5
,1,1,3,5,1,1,1,3,1,5,1,1,3,1,1,1,1,3,3,5,1,45,3,3,13,1,9,3,3,5,9,2,1,1,1,3,1,5
,9,9,15,11,7,3,3,3,3,3,3,9,3,5,5,5,9,1,1,1,1,1,3,1,1,1,1,1,2,2,2,1,1,1,1,2,1,
15,3,3,1,7,5,11,5,5,9,9,9,9,15,9,9,9,1,3,1,3,3,3,3,5,1,9,5,5,5,5,5,5,3,3,3,3,9
,5,3,3,3,3,1,1,1,1,1,3,3,3,3,1,3,3,3,3,3,1,3,1,3,1,3,3,1,1,1,1,1,3,1,1,1,1,1,1
,1,3,3,1,3,5,3,3,3,3,3,3,3,3,3,5,3,3,1,1,1,1,3,3,3,3,5,3,3,3,1,1,1,1,1,1,3,1,1
,1,3,3,3,5,3,3,3,3,1,1,1,3,3,3,3,3,5,3,3,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,105,3,1,1,1,3,1,3,1,1,1,1,1,1,27,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,7,7,3,7,7,7,3,3,7,7,7,7,7,3,3,3,3,3,7,3,1,
1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,7,3,3,3,3,3,1,1,1,1,3,3,3,1,1,1,3,3,
3,3,3,3,3,3,1,1,1,1,1,1,1,1,1,1,3,3,3,1,1,1,1,3,3,3,1,1,1,1,3,3,1,1,1,1,1,6,9,
2,2,1,1,1,2,6,2,3,3,2,1,1,6,2,3,3,2,1,1,6,2,2,2,2,2,2,2,2,2,1,1,2,2,1,7,1,9,9,
9,9,9,3,3,3,3,1,1,3,1,1,1,1,3,1,1,3,1,3,1,1,1,1,1,3,3,1,1,3,1,1,3,3,1,1,3,3,3,
3,3,3,3,1,1,1,1,3,1,1,1,1,1,5,3,3,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,
1,7,1,1,9,1,3,9,15,3,3,3,3,3,3,1,1,1,1,1,1,1,3,5,9,9,3,9,3,1,3,1,1,1,1,5,3,3,3
,3,3,3,3,1,1,1,1,1,2,1,1,1,1,1,1,3,1,1,3,3,1,1,1,1,3,3,3,1,1,1,3,1,1,1,3,3,3,3
,3,3,1,1,1,1,1,3,3,3,3,3,3,5,1,1,1,1,3,1,1,1,1,1,1,1,1,3,1,1,1,1,3,3,1,1,1,1,1
,1,1,1,3,1,1,1,1,1,1,1,1,3,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,5,3,3,3,3,3,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,15,7,25,9,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1
,1,1,1,3,7,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,3,3,3,1
,1,1,1,1,1,1,1,1,1,1,3,1,3,3,1,1,3,1,2,6,2,2,2,2,2,2,3,1,3,2,2,2,1,1,1,1,1,2,2
,2,2,2,1,1,2,2,2,2,1,1,2,2,2,2,1,1,1,1,1,9,1,1,3,3,3,1,3,1,1,1,1,3,3,3,1,3,1,1
,3,1,1,3,1,1,3,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,3,1,1,1,9,1,3,3,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,3,1,1,1,1,1,3
,3,1,1,1,1,1,1,1,1,1,1,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,9,13,9,1,9,3,3,3,7,3,3,3,3,1,1,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,
1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,2,3,3,1,1,1,1,2,2,1,2,2,2,2,2,2,2,2,1,1,1,1,
1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,3,1,3,1,1,1,1,3,1,1,3,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,7,1,
9,9,3,3,3,3,1,3,1,1,1,1,3,3,1,3,1,3,3,1,5,1,1,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,3,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,9,1,3,3,1,1,1,1,1,1,3,1,1,3,1,1,1,1,3,3,3,1,3,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1],[135135,2835,331,375,315,27,2835,105,195,135,135,27,75,75,27,63,21,9,
39,105,21,75,15,15,105,45,21,9,15,3,15,27,7,7,105,135,15,75,3,27,27,3,135,27,
27,39,27,7,3,27,9,21,39,27,27,27,9,21,105,15,21,9,9,75,7,7,3,45,15,15,15,15,9,
3,9,9,9,3,1,9,9,15,3,3,3,15,15,45,3,3,15,3,9,9,7,3,15,3,9,9,9,3,1,9,5,3,1,105,
15,3,3,3,27,3,3,3,3,3,15,9,3,9,3,9,7,3,3,9,9,1,7,3,9,1,3,3,135,3,21,9,39,27,27
,27,27,1,3,27,3,3,27,27,27,21,15,15,45,3,3,3,3,3,3,3,1,3,1,1,3,3,1,1,9,9,9,15,
15,45,3,9,9,9,3,3,3,1,3,3,3,3,3,3,9,3,1,1,3,3,3,9,3,7,3,3,3,3,1,1,3,3,3,3,3,3,
9,9,9,3,9,15,9,9,9,9,15,9,9,9,9,15,9,9,9,9,15,3,3,3,3,3,3,3,3,3,3,3,3,3,3,9,3,
15,3,3,3,3,3,1,3,9,9,9,3,3,3,3,1,1,1,1,3,1,1,1,1,1,3,1,1,1,3,1,1,1,9,1,3,3,3,3
,1,3,1,1,105,15,15,15,9,7,3,3,3,3,3,3,3,1,9,3,3,1,1,1,1,1,15,15,7,9,3,3,1,3,3,
3,3,3,1,3,1,3,1,9,9,3,3,3,1,3,3,15,3,3,1,1,3,1,3,1,3,1,3,1,1,1,1,21,27,3,27,27
,15,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,45,15,3,3,9,9,9,3,3,3,1,1,1,3,3,1,1,1,1,1,3,
3,3,3,3,9,9,9,9,15,15,3,3,3,3,1,3,3,3,3,1,3,3,1,1,1,3,1,3,9,3,1,1,1,1,9,3,15,9
,9,9,9,9,3,3,3,9,3,1,3,3,3,3,3,3,3,1,1,1,1,3,9,3,1,1,1,1,1,1,1,1,3,1,1,1,1,1,3
,1,1,1,3,3,1,3,3,3,3,1,9,9,9,3,3,1,1,1,1,1,1,1,1,3,1,1,1,3,1,1,1,1,1,1,1,3,1,1
,1,1,1,1,1,3,3,3,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,1,1,1,1,1,1,1,1,9,3,1
,3,3,3,3,3,3,3,3,1,15,7,3,3,3,1,9,9,3,3,15,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1
,3,1,3,1,3,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,1,1,1,27,15,3,3,3,3,3,1,3,3,3,3
,3,3,3,3,3,1,1,3,1,3,3,3,3,1,1,1,3,9,3,3,3,9,1,3,3,3,3,3,9,9,9,9,1,3,1,3,3,1,1
,1,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1,3,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,3,1,3,3,3,3,1,3,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1
,1,3,1,3,1,1,1,1,1,3,1,1,3,3,1,1,15,3,3,1,1,1,3,3,1,1,1,1,1,1,9,3,3,3,3,3,1,1,
1,1,3,3,3,3,3,3,3,3,1,3,1,3,1,1,1,3,1,1,1,3,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,3,
1,1,1,1,1,1,1,1,1,3,9,3,1,1,1,3,1,3,3,3,3,3,3,3,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,3,1,1,15,3,1,1
,1,1,3,1,3,3,1,3,3,1,3,3,1,3,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,3,3,3,1,1,3,3,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1
,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[123552,6336,480,15120,504,6048,504,80,160,72,
504,72,2032,12,2016,504,144,24,192,48,24,72,80,24,504,72,24,24,24,504,2032,56,
12,56,6048,504,72,72,16,8,72,48,24,8,24,72,8,8,10,4,24,504,24,24,72,24,8,4,8,
56,4,4,4,72,504,504,72,72,24,8,72,8,8,8,80,24,8,8,8,8,12,10,4,2,6,4,6,4,2,2,
504,24,72,24,8,4,8,4,4,4,4,4,8,4,24,24,8,8,12,12,2016,504,8,4,2,2,6,2,4,2,2,2,
2,2,2,2,72,8,24,8,4,4,4,4,12,2,2,2,72,24,48,24,8,4,2,2,4,4,2,4,4,2,2,2,2,2,2,2
,8,72,2,4,4,4,2,2,8,4,4,2,2,6,4,8,504,2,2,2,4,6,4,2,2,24,2,2,2,2,4,72,4,8,2,2]
,[120120,7728,200,10500,798,24,78,2688,1540,40,80,200,20,8,560,8,40,560,2240,
630,20,32,8,2,492,20,20,6,42,2,80,200,40,20,8,560,80,8,8,8,40,4,4,40,80,4,8,
798,78,78,24,24,24,24,24,560,8,8,2688,70,192,6,10,40,18,4,2,4,2,192,6,76,18,4,
20,16,20,8,8,2,2,400,20,32,16,2,2,2,2,160,2,8,32,4,8,2,2,50,8,40,20,8,40,40,4,
4,4,40,80,4,4,4,4,8,8,8,4,8,4,4,630,8,2,20,140,8,8,8,42,20,2,2,2,12,2,2,2,2,42
,6,6,2,120,8,8,8,8,560,70,160,20,8,40,2,8,2,2,160,16,2,2,80,20,2,2,8,2,20,8,20
,4,8,16,32,2,2,32,8,8,8,8,2,8,4,4,4,2,16,2,16,2,4,8,4,8,78,24,24,24,50,8,2,2,
40,4,4,4,8,4,4,4,4,70,2,192,6,6,6,6,6,6,6,10,18,18,18,4,4,4,4,2,100,20,2,8,2,
18,6,6,16,2,2,2,2,22,2,2,2,4,2,4,2,8,2,2,2,4,2,10,8,2,8,8,8,8,40,2,8,2,4,8,2,2
,40,4,2,2,20,4,8,80,20,8,2,2,2,2,4,40,2,4,8,4,2,4,2,16,2,4,4,4,4,4,8,8,8,8,4,4
,4,4,4,4,4,6,42,8,2,12,2,2,20,2,12,2,2,560,70,40,8,2,2,6,2,2,2,4,160,8,2,20,2,
2,32,8,10,2,8,2,2,4,2,2,2,2,2,2,2,10,4,4,16,8,2,2,2,4,2,2,2,2,2,2,8,2,2,2,2,10
,2,2,2,2,4,4,4,8,2,2,8,2,4,2,4,2,8,24,8,40,2,40,4,2,2,2,4,8,2,2,4,4,8,4,4,4,4,
2,2,4,4,2,4,4,4,4,6,24,8,10,2,4,18,6,6,6,6,6,4,4,2,4,2,2,2,10,2,2,2,2,120,20,8
,2,8,2,2,2,2,40,2,2,2,2,4,4,2,4,2,8,2,16,8,2,4,2,2,2,2,2,2,2,8,2,4,2,2,2,8,2,4
,2,2,4,2,4,12,2,50,10,8,4,2,4,4,2,4,8,2,2,2,4,2,2,2,10,2,4,2,2,2,8,4,4,2,2,2,2
,2,2,2,2,2,4,2,2,2,8,2,8,2,8,2,8,2,40,2,4,2,2,4,2,2,4,2,4,8,2,2,2,4,4,2,2,2,4,
4,2,4,2,6,6,2,4,70,40,8,6,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,8,2,8,4,4,2,
2,4,2,4,2,2,20,8,2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,2,2,2,10,4,4,2,2,2,2,2,8,2,2,2,
2,2,4,2,8,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2],[120120,5208,120,280,10500,
798,24,78,2688,700,40,80,120,24,56,32,16,60,20,8,280,24,560,1260,210,20,10,56,
6,2,6,2,432,76,10,6,66,6,4,80,40,32,8,16,16,8,40,24,8,24,20,8,8,8,8,20,280,20,
24,8,8,12,12,4,8,4,20,4,8,8,12,4,798,78,78,24,24,24,24,24,560,8,8,2688,70,192,
6,10,40,18,4,2,4,2,192,6,82,18,4,6,4,36,2,20,2,2,150,12,8,4,10,20,20,8,4,30,10
,4,2,2,2,6,2,2,6,6,10,2,2,30,2,6,34,4,50,8,40,20,8,16,8,8,8,8,8,20,8,8,8,4,4,4
,4,4,4,4,4,8,12,4,4,4,4,4,8,4,4,4,210,2,6,2,10,120,6,20,2,2,30,24,4,4,6,2,2,12
,2,2,2,2,66,6,6,4,60,12,8,8,8,280,70,30,10,24,2,6,2,2,2,30,6,2,2,2,2,2,2,2,2,
80,10,32,6,2,2,20,4,8,2,2,16,20,2,4,2,2,20,8,2,4,4,4,2,2,2,6,2,4,2,4,4,4,4,2,6
,2,2,2,2,10,2,10,10,34,6,2,2,4,8,2,6,2,2,2,2,2,6,2,2,2,2,2,8,2,2,78,24,24,24,
50,8,2,2,8,8,4,8,4,4,4,4,4,4,4,70,2,192,6,6,6,6,6,6,6,10,18,18,18,4,4,4,4,2,30
,10,6,2,18,6,2,2,2,2,2,6,2,18,6,6,4,6,6,2,2,30,2,2,6,2,2,2,8,2,6,8,4,6,4,8,4,4
,8,40,2,20,2,4,2,16,2,8,2,40,4,2,2,4,2,20,10,12,4,6,2,2,2,8,2,2,8,2,2,4,2,2,2,
2,2,10,4,4,4,4,2,2,2,2,2,8,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,8,2,2,2,2,2,2,2,2,6,30,2,6,12,2,2,2,24,4,12,2,2,560,70,10,2,8,2,2,12,2,
2,4,30,2,2,2,10,6,2,2,2,6,2,34,6,10,2,4,4,2,4,6,20,8,2,2,2,2,6,2,2,2,2,2,2,6,8
,4,2,2,2,6,6,6,2,2,2,2,2,2,20,2,4,2,6,2,2,8,2,2,2,6,4,2,2,4,24,8,8,8,2,4,2,2,8
,4,2,2,2,2,2,4,4,2,2,8,2,4,2,2,2,2,2,8,2,4,2,2,2,2,2,2,2,2,6,6,2,6,2,2,6,2,10,
2,4,18,6,6,6,6,6,4,6,6,2,2,12,4,2,60,10,12,6,8,2,8,2,2,2,2,40,2,2,2,2,4,4,2,4,
2,2,2,2,6,2,2,2,2,2,2,2,4,2,6,2,2,2,2,2,2,8,2,2,2,2,4,2,2,2,2,2,4,2,4,10,2,2,2
,2,12,2,50,10,8,4,2,4,4,2,4,2,2,2,2,2,2,6,6,2,2,2,6,6,2,2,6,2,6,2,4,4,2,2,4,2,
2,8,2,2,6,8,2,4,4,2,2,2,4,8,2,2,2,8,2,2,2,2,2,2,4,2,2,2,2,4,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,6,6,2,4,70,10,2,2,2,12,4,2,2,2,6,2,4,2,2,2,2,6,2,2,2,2,2,2,2,2,4,2
,8,4,2,2,4,2,2,6,2,2,10,6,8,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,10,4,4,2,6,2
,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,4,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2],[120120,3696,
840,10500,798,24,78,2688,112,40,160,280,48,96,20,84,60,8,560,728,98,276,98,42,
24,432,12,6,30,160,40,24,32,20,84,60,20,20,16,8,8,4,8,8,20,16,798,78,78,24,24,
24,24,24,560,56,56,2688,70,192,6,10,40,18,4,2,4,2,192,6,34,18,4,6,10,4,2,4,2,8
,92,44,6,38,14,26,2,6,14,2,22,4,6,10,6,18,6,50,8,40,20,12,8,4,8,4,4,8,8,8,8,4,
20,16,8,8,8,8,4,4,98,98,24,24,24,24,24,42,42,110,6,26,14,2,8,30,6,6,8,12,8,56,
12,4,4,84,70,2,60,14,22,8,6,6,2,4,10,4,2,2,4,4,2,2,22,10,4,2,2,6,10,6,160,14,2
,4,4,2,4,2,44,4,4,14,18,2,2,2,10,18,6,2,2,6,2,4,10,6,4,10,6,4,2,4,2,2,2,78,24,
24,24,50,8,2,18,8,18,8,2,8,4,4,8,8,4,4,4,4,70,14,2,192,6,6,6,6,6,6,6,10,18,18,
18,4,4,4,4,2,4,36,2,8,14,18,6,6,10,26,14,14,6,6,2,2,2,2,2,2,2,2,10,6,6,6,8,12,
4,4,4,4,4,8,40,2,20,2,4,2,6,40,4,2,2,4,2,16,6,20,2,14,8,2,2,4,2,8,2,4,2,2,2,2,
8,2,2,4,2,2,10,6,2,2,4,2,4,2,2,2,2,4,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,6,26,
2,8,42,24,24,24,14,8,560,70,8,2,2,18,2,8,2,2,2,2,2,2,4,2,22,6,6,6,6,6,6,6,6,10
,10,10,4,4,4,4,2,14,10,18,6,10,2,6,4,2,2,44,14,6,4,2,2,2,14,2,6,2,2,4,2,2,2,2,
2,2,2,6,6,6,6,10,6,6,2,2,2,2,4,24,8,8,8,8,4,2,2,8,4,2,2,2,4,2,2,8,8,6,2,2,4,2,
2,2,4,2,2,4,2,2,2,8,2,2,2,2,2,2,2,2,2,2,2,2,6,10,2,4,6,18,6,6,6,6,6,4,6,2,2,2,
2,2,14,8,6,2,4,56,14,8,2,2,4,2,4,2,2,2,2,2,2,2,40,2,2,2,2,4,4,2,6,4,2,2,4,2,10
,6,6,2,4,2,4,2,2,2,2,2,2,2,4,2,2,2,2,2,2,4,2,2,2,6,2,2,2,2,24,8,50,10,8,4,2,8,
2,4,2,2,14,2,4,6,2,2,2,2,2,10,4,6,6,6,6,6,2,2,6,4,2,2,2,2,2,2,2,2,6,2,4,8,2,12
,6,4,2,4,2,2,8,2,4,4,2,2,2,2,2,8,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,4,2,2
,2,2,2,2,6,8,4,4,70,18,6,8,4,2,2,2,2,2,4,2,2,2,2,2,2,2,2,6,4,2,2,2,2,2,2,2,4,2
,8,4,4,2,2,2,2,2,2,6,2,2,4,8,2,2,2,14,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,10,4,8,4
,2,2,2,2,6,4,2,2,2,2,2,2,2,2,2,6,4,2,2,2,2,4,2,2,2,2,2,2,2,4,2,2,2,2,2],[
120120,8064,80,520,9240,357,6,24,2520,1960,120,440,16,24,8,72,36,8,504,48,8,
560,2016,357,25,128,5,8,33,2,12,6,480,40,25,33,5,4,2,100,440,16,4,4,4,60,8,4,
24,490,110,30,18,30,10,6,2,6,8,6,4,100,8,4,12,24,4,4,357,24,24,6,6,6,6,6,560,
24,24,2520,70,60,4,3,1,60,112,3,1,8,12,9,1,3,480,25,112,24,9,9,16,8,3,3,1,5,1,
1,3,33,12,1,4,2,60,3,12,3,24,3,3,20,2,60,18,2,4,12,6,4,4,4,2,4,100,6,8,4,4,4,2
,4,2,2,24,18,18,4,4,2,2,6,18,2,2,6,4,2,357,8,33,2,6,6,6,6,6,12,12,25,105,5,5,8
,8,24,12,4,4,6,2,2,2,2,2,2,2,2,2,33,4,2,120,8,24,4,4,490,70,60,20,30,6,4,4,3,4
,1,2,1,1,60,16,3,3,12,4,4,8,1,1,3,3,1,1,100,20,16,4,6,4,2,1,1,8,4,1,1,16,112,1
,1,1,1,3,1,1,3,1,8,8,4,8,1,9,16,1,3,8,3,1,16,1,1,3,8,3,24,3,1,3,4,1,4,1,4,1,24
,6,6,6,20,2,6,2,6,2,4,4,2,2,18,2,2,2,4,6,2,2,2,2,2,77,9,3,2,2,2,2,60,4,3,3,3,1
,1,1,105,25,5,1,5,1,9,8,33,4,4,4,3,3,2,2,2,2,2,6,12,2,2,2,3,1,33,3,1,4,2,9,33,
1,3,3,1,4,4,2,3,3,3,3,24,4,4,2,18,6,4,2,100,20,4,4,18,6,6,6,6,2,2,1,4,4,2,1,4,
2,8,4,1,1,6,2,16,3,1,1,1,1,3,1,4,4,8,1,4,4,1,1,4,1,4,1,4,1,24,8,6,2,2,2,2,12,6
,6,6,12,4,6,2,2,2,2,560,70,20,2,6,2,6,2,2,60,4,3,4,1,2,1,1,1,1,1,1,25,5,1,1,9,
3,3,3,2,2,2,2,3,1,16,4,1,3,3,1,1,2,3,1,1,16,4,1,1,1,1,3,2,1,1,1,3,9,3,1,3,3,33
,9,3,1,1,1,1,1,3,1,4,2,4,2,1,1,3,3,1,1,3,3,1,1,1,1,1,1,1,3,1,1,1,3,3,1,1,1,1,3
,3,4,6,2,2,2,4,2,2,2,18,2,6,2,2,2,6,2,2,2,4,1,24,8,2,2,8,2,3,1,12,4,6,2,2,2,2,
12,4,4,2,2,2,2,4,2,120,20,8,4,24,6,6,2,3,1,16,4,1,1,1,1,1,1,1,3,4,2,2,2,1,1,1,
1,1,1,1,1,3,3,3,1,1,1,1,3,3,1,1,9,1,3,3,3,1,1,1,1,4,2,1,1,4,2,1,1,4,2,1,1,3,1,
1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,6,6,2,2,20,4,2,1,2,2,2,2,2,2,2,8,2,3,1,3,3,1,1,
12,4,2,2,1,1,1,1,4,4,2,2,4,2,1,1,1,1,4,2,24,6,4,2,4,2,1,1,3,1,4,2,1,1,1,1,1,1,
1,1,1,1,1,1,3,6,2,2,2,2,6,2,2,2,2,2,70,20,4,2,1,6,2,2,1,6,2,2,1,2,2,2,3,3,1,1,
3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,2,4,2,2,1,1,6,2,2,2,2,2,2,2,2,2,2,2,2,20
,4,6,6,2,2,1,2,3,1,1,1,1,1,1,1,1,1,1,1,1,1,4,1,2,1,2,2,1,1,2,2,2,2,2,6,2,2,1,1
,4,1,2,1,2,1,2,2,1,1,2,1,2,2,1,2,1,2,1,1,1,1,1,1,1,1],[108108,7560,96,420,7560
,630,1512,1806,60,100,420,32,90,18,8,462,42,60,8,168,3,2016,630,96,12,18,432,
24,18,12,100,420,60,90,4,8,18,462,100,18,18,18,8,60,4,4,6,6,8,4,4,60,100,8,18,
18,4,4,6,630,168,20,1,3,20,1,1512,180,60,180,96,6,24,4,2,432,96,24,24,24,2,2,
12,18,4,6,180,6,4,24,6,30,60,90,18,60,60,18,6,6,4,4,60,100,6,6,6,6,8,4,18,18,
18,4,4,4,4,6,18,6,6,6,2,2,630,18,90,12,6,18,66,12,6,3,1,12,6,12,20,6,1,2,2,462
,180,18,60,4,4,180,24,4,4,4,4,2,2,100,4,4,24,4,24,96,2,24,24,4,4,6,24,4,2,24,6
,4,24,2,4,4,4,3,30,2,6,6,2,4,60,6,6,4,4,6,4,4,4,6,18,6,6,6,6,6,2,2,12,2,180,90
,12,6,6,18,2,6,18,6,18,2,6,6,12,6,12,20,2,6,1,2,2,2,2,2,60,18,60,100,18,6,4,4,
60,24,4,6,24,2,4,4,4,4,4,4,4,4,3,3,1,168,3,30,2,12,6,6,2,2,2,2,4,2,2,6,2,6,2,
180,4,4,2,2,6,24,24,6,2,6,18,6,6,2,4,2,2,6,12,2,2,6,2,2,2,60,4,4,60,6,6,18,6,6
,6,4,3,1,3,3,1,1,1,66,6,3,1,20,1,12,2,2,6,2,2,2,2,2,60,24,4,6,6,2,2,2,2,4,4,4,
2,2,30,4,6,3,1,3,1,1,1,1,12,6,12,20,2,6,1,12,2,2,2,2,60,4,6,4,2,3,30,2,6,6,2,3
,1,1,12,2,2,6,2,2,2,2,4,6,6,3,1,1,12,6,2,2,2,2,1,2,2,3,1,1,12,2,2,2,1,2,3,3,1,
1,3,1,1,1],[102960,5184,240,14040,1260,144,5184,420,80,80,80,36,12,420,36,1680
,1680,420,72,12,360,24,36,60,80,80,12,12,420,36,12,12,12,12,12,1260,144,144,
1680,24,24,5184,420,360,48,80,36,12,8,360,48,36,8,8,8,60,24,24,12,4,12,12,4,60
,4,48,4,120,80,12,12,12,12,12,12,420,12,120,48,36,60,12,24,24,24,60,12,12,420,
420,60,36,12,4,60,4,4,4,4,80,12,8,8,8,24,12,4,4,4,48,4,4,144,4,120,12,420,12,
360,48,36,36,36,8,36,12,12,12,12,24,4,4,4,80,12,12,8,80,8,12,8,12,12,12,12,4,4
,4,12,4,4,4,4,4,48,1680,420,24,12,12,60,4,12,48,48,12,24,12,12,12,8,12,4,4,4,4
,12,12,4,4,12,48,36,60,12,24,12,24,80,12,8,8,12,8,8,4,4,4,4,60,120,48,12,12,24
,12,4,4,4,4,4,12,12,4,4,4,420,12,8,12,4,12,4,24,12,12,4,48,12,4,4,60,12,4,12,4
,4],[102960,5184,240,12600,432,72,36,5040,424,40,80,32,48,4,420,36,1680,1680,
420,72,12,120,24,36,24,60,40,16,16,4,420,36,12,12,8,12,8,420,12,24,36,12,1680,
24,24,5040,424,60,36,4,12,16,4,8,4,60,36,4,12,12,16,8,4,4,60,16,24,12,12,12,4,
60,4,12,4,12,4,8,12,8,4,4,4,420,12,12,12,12,12,60,12,4,24,4,60,12,12,420,420,
60,36,12,4,60,4,4,4,4,40,16,4,4,4,4,4,8,8,4,4,4,12,4,4,12,4,12,4,420,12,60,36,
12,12,12,4,12,16,4,4,4,12,4,12,4,12,12,4,8,4,4,4,4,4,4,8,4,8,4,4,8,4,12,12,4,4
,4,4,4,4,4,4,4,12,1680,420,4,12,12,60,4,4,12,12,12,4,4,12,4,4,4,12,4,4,4,4,4,4
,4,4,4,12,12,4,60,12,24,12,4,4,8,4,4,4,4,4,4,4,4,4,4,4,60,12,12,4,12,4,4,8,4,4
,4,4,4,4,4,4,4,420,12,4,4,4,12,4,4,4,12,4,12,4,4,4,60,4,4,12,4,4],[102960,5184
,320,304,12600,423,18,9,5040,420,48,80,64,80,16,52,12,16,420,52,1680,1680,421,
160,3,88,19,3,13,6,3,3,6,120,88,1,9,15,17,1,2,60,40,64,8,8,16,12,16,8,4,420,52
,12,12,16,16,4,8,8,4,12,16,420,3,6,9,3,1680,64,24,64,24,5040,420,60,9,3,3,60,9
,3,16,3,8,12,12,1,1,1,5,60,64,16,1,24,4,28,12,3,1,28,4,8,7,5,3,17,1,1,1,13,8,3
,1,3,3,1,1,2,60,3,4,3,1,16,3,1,1,16,4,3,4,8,4,4,4,8,4,4,12,16,4,420,3,12,6,3,2
,3,1,1,16,16,1,1,3,3,1,1,4,4,1,3,1,3,12,3,1,2,60,28,8,64,24,8,8,60,3,3,420,420
,60,52,12,16,3,4,3,3,1,1,60,16,3,1,4,4,4,3,1,1,1,4,3,1,1,1,40,64,16,12,4,1,1,4
,4,1,1,16,4,8,8,4,16,8,4,3,1,1,1,1,3,1,5,1,4,3,4,1,1,1,16,3,1,4,1,1,1,16,4,3,1
,1,1,1,16,3,1,1,4,1,1,4,1,4,1,3,4,3,1,3,1,3,1,1,4,420,12,60,9,3,3,3,3,3,16,16,
1,3,1,1,1,1,3,1,4,4,4,2,1,1,2,1,1,1,3,1,12,3,3,1,1,1,2,3,1,1,1,3,1,1,4,4,1,1,1
,2,3,3,1,1,8,16,8,4,4,16,1,3,4,1,1,8,4,16,16,12,12,4,4,4,1,8,4,1,4,4,1,1,16,1,
3,1,1,1,1,1,4,4,4,1,1,4,4,1,1,4,1,4,1,4,1,3,3,3,1,1,1,1,1680,420,3,1,3,1,3,1,1
,1,1,1,1,3,60,3,4,3,3,1,1,1,1,1,16,4,3,1,16,3,1,3,1,3,3,1,16,3,3,1,1,1,3,1,12,
3,3,1,1,1,1,1,4,4,1,1,1,1,1,2,4,1,1,3,3,1,1,3,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,4,4,1,4,4,4,1,3,3,3,3,1,1,1,1,1,1,1,1,60,28,16,64,24,12,3,1,1,1,1,1,1,
3,1,1,16,3,1,3,1,1,1,4,1,1,1,1,1,1,1,3,1,4,4,1,1,4,1,1,4,1,1,1,1,1,1,1,1,1,1,1
,1,1,60,3,3,3,3,3,3,1,1,1,1,1,1,1,1,1,1,8,16,4,4,8,4,1,1,4,1,1,1,4,420,3,3,1,3
,1,1,3,1,1,1,3,1,1,1,1,1,1,1,4,3,16,12,3,1,1,1,1,1,1,1,1,1,3,4,1,3,1,1,60,1,16
,4,3,4,3,1,1,1],[102960,9216,560,12960,630,36,5040,2352,200,560,120,36,980,36,
1680,2976,630,80,144,12,30,6,672,32,80,30,2,60,200,560,120,36,980,200,36,36,36
,200,36,630,36,36,1680,56,56,5040,420,120,12,6,120,144,6,6,32,8,12,672,80,144,
32,12,12,32,32,6,30,8,6,2,120,8,2,32,2,16,4,30,120,36,200,36,36,36,36,630,12,
30,6,6,80,150,6,12,12,36,6,2,2,30,2,300,12,12,56,12,60,3,3,980,420,120,80,36,
12,12,8,2,2,120,32,8,8,8,8,2,2,200,80,12,8,2,32,8,32,144,6,32,32,8,8,6,12,32,2
,8,32,8,2,32,8,2,8,8,36,4,30,2,6,6,2,36,420,12,120,12,6,6,6,150,80,6,6,12,12,
30,2,2,2,2,6,6,6,30,6,6,2,12,30,2,6,2,2,6,2,2,12,56,12,16,1,3,4,1,1,36,12,200,
80,36,12,12,12,8,2,32,8,32,8,8,8,2,8,8,8,8,8,36,12,6,6,2,1680,420,30,2,6,6,2,2
,2,2,3,120,12,8,2,2,2,2,80,12,6,6,32,12,2,2,6,32,12,6,2,2,12,6,30,12,2,2,6,6,2
,8,2,6,2,6,2,2,6,2,2,2,2,2,2,2,2,2,12,4,1,36,12,8,36,12,12,6,6,2,6,2,2,2,300,
80,12,56,12,6,2,2,2,2,3,1,1,32,12,8,2,2,2,2,2,6,2,6,2,12,8,2,8,2,8,2,2,2,2,2,2
,2,2,60,30,12,12,6,6,6,2,2,2,2,2,2,2,2,12,56,12,12,2,1,8,2,2,4,420,30,12,2,6,2
,6,2,2,6,2,2,2,2,2,12,3,80,12,6,2,2,2,2,2,2,1,12,12,2,12,2,2,60,2,16,4,3,4,3,1
,1,1],[90090,2394,90,426,5670,504,72,882,126,22,82,146,18,42,18,10,6,54,18,6,
42,42,2,18,70,406,84,30,114,36,12,282,30,24,82,6,18,6,10,10,6,22,6,6,6,6,18,6,
18,18,6,6,6,6,18,42,2,18,6,6,6,6,2,2,6,2,2,2,2,2,2,2,2,18,2,2,6,10,6,6,10,10,
10,2,2,504,72,72,70,6,14,6,14,882,102,22,24,10,6,102,36,24,10,14,10,12,6,18,6,
38,26,6,2,12,16,2,12,12,4,4,12,16,2,4,24,12,2,10,4,22,18,6,6,6,6,6,6,10,6,6,6,
6,6,2,2,4,2,2,2,2,4,10,2,6,4,4,2,2,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,6,2,10,2,2,6,2,2,2,2,2,2,2,2,84,36,12,12,70,6,24,4,24,8,2
,2,6,6,2,6,6,6,2,14,2,2,2,6,2,2,2,2,42,12,18,2,8,2,4,2,12,4,2,4,4,8,2,2,2,4,4,
82,18,10,6,6,10,10,26,6,2,2,2,12,6,6,2,2,2,2,12,6,4,4,4,12,2,2,4,8,2,2,4,2,4,2
,2,2,4,2,8,2,2,4,2,2,72,10,4,2,6,4,6,4,2,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,2,2,2,6,4,2,2,2,2,8
,4,102,24,24,24,10,4,12,4,24,12,12,4,6,2,2,6,4,6,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6
,8,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,22,18,6,6,10,10,6,22,10,6,6
,10,2,6,2,6,6,2,2,4,2,2,4,2,10,2,6,4,2,2,2,2,6,2,4,2,2,2,2,2,4,4,2,2,2,2,4,4,4
,4,2,2,2,2,4,2,2,2,4,2,2,2,2,2,2,4,2,2,2,2,24,12,4,70,2,2,2,2,6,2,4,2,2,2,2,2,
2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,12,8,4,4,4,2,12,12,6,2,26,
6,12,2,2,4,4,2,10,2,6,2,4,2,2,6,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,
2,2,2,2,2,2,2,2,2,2,4,4,4,2,2,2,6,6,6,2,2,2,2,2,2,2,6,2,2,2,4,2,6,2,2,2,2,4,6,
2,2,2,4,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,8,24,4,4,6,14,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,22,10,10,6,10,4,2,2,2,10,2,2,4,2,4,4,2,2,4,2,4,2,2
,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,10,4,2,4,4,6,6,6,2,2,2,2,2,2,2,2,4,2,2,2,2,2,
2,2,2,2,2,2,2,12,6,4,2,4,2,2,6,6,2,8,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6
,4,6,4,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,6,4,2,4,2,2,2,2,2,2,2,2,2,10,4,2,6,2,
2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,4,6,6,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,4,2,4,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,4,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[90090,7434,90,666,5670,504,72,882,2226,22,
122,666,90,90,18,18,6,210,42,6,322,42,22,6,70,1806,504,30,174,48,12,582,54,48,
122,666,18,18,18,18,18,22,6,6,6,6,90,90,90,210,6,6,6,6,42,322,122,42,42,42,18,
18,18,22,14,14,6,6,6,6,6,6,6,22,122,6,6,6,6,14,42,18,18,6,6,504,72,72,70,6,14,
6,14,882,102,22,24,10,6,102,174,24,10,30,12,54,6,14,582,30,30,30,174,46,6,6,54
,54,2,24,48,14,12,102,14,2,4,6,46,10,4,10,4,22,210,42,6,6,6,6,6,90,90,18,18,18
,6,6,6,22,22,14,14,14,6,6,6,6,6,6,6,6,6,6,6,6,22,122,14,14,14,14,6,6,6,6,6,6,6
,6,6,6,6,6,6,6,6,6,42,42,42,18,18,18,18,18,18,18,18,6,6,6,6,6,6,6,6,6,14,42,6,
6,6,6,6,6,18,18,14,14,6,6,6,6,504,48,12,12,180,12,72,12,48,30,2,6,2,2,2,6,6,2,
6,6,6,2,14,2,2,2,6,2,2,2,2,322,102,42,22,14,6,4,2,102,6,6,6,6,46,14,14,14,14,2
,2,2,2,10,4,4,122,18,14,6,54,14,30,10,6,46,6,6,6,6,6,6,6,174,30,30,30,30,30,2,
2,2,2,24,54,54,14,14,12,46,6,6,6,4,14,10,2,2,6,6,6,46,2,2,2,14,4,46,6,6,6,2,2,
14,10,4,2,14,6,10,10,14,2,6,72,10,4,2,6,4,6,4,2,90,6,18,6,6,22,14,14,6,6,6,6,6
,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,14,42,6,6,6,6,6,6,6,6,6,6,6,6,6,18,
18,18,18,18,14,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,14,14,6,6,6,6,6,6,6,6,
14,6,6,6,102,24,24,24,10,180,12,12,48,4,12,24,12,48,24,12,48,4,12,24,4,4,6,2,2
,2,2,2,2,2,2,2,2,2,6,6,6,6,2,14,6,6,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,4,22,42,6,6,10,6,18,6,22,10,6,6,30,10,6,122,18,18,42,14,6,6,14,6
,6,10,22,6,2,30,30,30,54,14,2,2,2,6,6,6,6,2,6,14,6,2,6,6,6,6,6,6,6,6,6,6,6,46,
14,14,14,2,2,2,2,2,2,2,2,2,2,2,4,10,6,10,2,2,2,2,10,10,2,2,2,2,2,2,2,2,2,14,14
,10,10,10,6,6,6,6,6,6,10,2,2,2,2,6,6,6,14,2,2,2,10,10,2,2,2,2,2,2,6,6,6,14,10,
2,2,2,2,6,6,6,14,2,2,2,2,2,2,10,10,72,12,12,70,10,2,2,2,2,2,6,2,6,2,4,2,2,2,2,
2,2,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,14,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,102,14,4,4,4,2,24,12,46,6,4,24,10,46,6,24,4,2,24,48,4,4,12,12,14
,24,4,24,4,4,12,4,4,4,4,4,4,4,4,4,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,22,6,2,18,
6,6,22,14,6,6,6,6,6,2,2,30,2,6,14,42,18,18,6,6,6,10,6,6,6,6,14,6,2,2,6,2,2,10,
2,2,2,2,6,2,6,14,6,6,2,2,10,6,6,14,2,6,6,2,2,2,2,2,2,6,6,2,2,2,2,2,2,10,2,2,2,
2,2,2,10,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6,6,14,2,2,2,2,2,10,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,10,2,2,2,10,2,2,2,2,2,10,72,24,12,12,30,6,6,14,2,2,2,2,2,2,2,2,2,2,2,2,
6,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6,6,6,6,22,10,10,6,10,6,46,6,6,6,14,2,2,4,4,
10,12,4,24,4,14,2,6,10,10,6,14,10,6,2,14,2,2,4,4,4,4,4,4,4,2,6,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,4,2,4,4,6,6,6,18,6,6,6,6,6,6,6,6
,6,6,6,6,6,14,6,6,6,2,2,6,2,2,2,6,6,6,10,2,2,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,
24,24,12,4,4,4,2,2,6,6,2,2,2,14,6,6,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,6,22,6,2,2,6,6,10,14,2,10,6,2,6,10,2,6,2,2,2,2,2,2,6,6,6,14,2,10
,10,2,10,10,2,2,10,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,10,2,6,4,6,2,2,
4,2,2,6,6,6,6,6,6,2,6,6,6,6,10,24,4,4,4,4,6,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,6,6,14,6,2,6,6,6,2,6,2
,6,6,2,2,2,2,2,2,2,2,2,10,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,6,10,2,2,2,
10,4,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,6,6
,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,10,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,4,6,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2]
,[90090,2394,330,442,5670,504,72,882,126,34,90,146,18,58,82,26,42,54,18,34,42,
18,6,6,70,406,84,110,4,114,12,36,8,12,282,46,4,24,12,4,14,82,6,34,6,10,18,6,26
,18,18,26,18,18,6,18,18,14,18,26,10,18,18,14,42,2,18,6,6,6,6,6,2,6,6,6,6,6,6,6
,6,6,2,6,6,6,6,6,6,6,2,6,6,6,6,2,6,6,6,2,6,6,6,6,6,504,72,72,70,22,14,22,14,
882,102,22,24,10,6,102,36,24,22,14,18,4,4,12,22,18,6,4,38,26,30,10,12,16,14,4,
4,4,12,4,4,12,12,4,4,4,12,8,6,4,12,6,10,4,22,14,18,18,18,6,14,10,6,10,6,6,14,
10,6,14,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,6,6,6,6,6,6,6,2,2,2,2,2,6,6,2,2,2,6,6,2,
2,2,2,2,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,2,2,2,6,6,6,6,6,84,36,8,12,12,4,70,12,6,24,4,4,4,8,8,24,4,
2,14,6,6,10,22,6,6,2,14,10,10,14,6,6,2,6,2,42,12,18,2,2,8,2,2,2,4,2,12,4,2,4,4
,8,2,6,6,4,6,4,82,34,2,10,2,6,4,2,2,14,6,10,14,4,26,6,2,2,10,12,6,6,14,14,6,6,
6,4,12,4,4,4,4,6,4,4,4,12,6,2,6,4,6,6,2,6,4,6,6,2,6,6,4,6,2,4,6,2,6,6,72,10,4,
2,4,4,6,4,4,6,4,2,4,14,6,6,10,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,2,6,6,6,6,6,6,6,6,6,6,6,6,
6,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6,102,24,24,24,10,4,12,4,4,12,
4,8,4,4,4,4,24,12,12,4,4,6,4,4,2,4,2,4,6,4,14,6,2,6,2,14,6,6,6,14,2,10,2,2,6,6
,6,6,6,6,2,6,6,2,6,6,2,2,6,6,6,2,2,6,6,6,2,2,6,2,2,2,2,6,6,6,4,22,18,18,6,10,
10,14,2,2,22,10,6,6,10,2,6,2,6,6,2,2,2,2,2,2,2,4,2,2,2,2,2,4,2,2,2,2,14,6,4,2,
2,6,2,4,6,6,6,4,2,2,6,6,6,2,6,6,4,2,2,2,6,6,4,6,6,4,4,4,2,2,6,2,6,2,2,2,6,2,6,
6,2,6,2,2,2,2,6,6,6,6,6,6,24,8,12,4,4,70,2,2,2,2,6,4,4,4,2,4,2,2,4,2,4,2,2,4,2
,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2
,2,2,2,2,2,12,8,4,4,4,2,2,12,12,6,2,2,26,6,4,4,12,2,2,2,4,2,4,4,4,10,4,2,2,6,4
,2,4,2,2,14,6,2,6,2,2,2,6,6,2,6,6,2,6,6,6,2,6,6,2,2,6,6,2,2,2,2,2,2,6,2,2,2,2,
6,6,6,6,6,6,6,6,2,2,2,2,6,6,4,4,4,4,4,2,2,2,2,2,2,14,2,6,6,10,2,2,2,2,2,2,2,2,
2,2,2,6,2,2,2,4,2,2,2,2,2,2,6,6,2,6,6,6,2,2,2,2,2,4,6,6,2,6,2,2,2,2,2,6,6,2,2,
2,2,2,2,2,2,2,2,6,2,6,6,2,2,2,6,8,24,4,4,4,4,22,14,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,4,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,22,10,10,6,10,4,2,2,2,2,2,2,10,4,2,2,
2,4,2,4,4,2,2,2,4,4,2,2,2,2,6,2,2,2,2,2,2,6,2,6,2,2,2,2,2,2,2,2,2,2,2,6,6,2,2,
2,6,6,10,4,2,4,4,4,4,4,6,2,2,2,2,2,2,2,6,6,2,2,2,2,2,2,2,2,6,2,6,6,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,6,2,2,12,6,4,4,4,2,2,14,6,6,10,2,2,6,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,4,6,4,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,
2,6,2,2,2,2,2,2,2,2,2,2,6,4,4,2,4,2,2,2,4,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,10,4,2
,14,6,2,6,6,6,2,6,2,2,2,2,2,2,6,2,2,6,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,6,6,6,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,4,2,2,6,2,6,2,2,2,
2,2,6,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,
2,6,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2],[
77220,8568,300,15120,1260,7560,1890,60,180,300,30,18,1470,18,60,3360,3696,1260
,120,72,12,600,120,12,360,60,180,300,60,30,18,1470,180,18,18,18,60,60,6,6,60,
60,180,60,6,18,6,1260,3360,48,48,7560,1260,360,60,360,72,12,600,120,72,24,12,
12,12,360,24,24,60,60,30,18,60,60,60,6,6,6,60,180,60,6,6,6,6,18,18,18,60,6,18,
6,6,6,6,6,1260,12,120,120,12,480,48,360,1470,1260,360,120,18,60,60,12,360,24,
180,120,60,12,24,72,12,60,24,24,24,60,6,6,60,60,60,6,6,60,60,6,6,18,6,6,6,6,6,
6,6,1260,12,360,120,120,12,12,12,12,12,48,24,60,18,12,60,180,120,18,12,12,12,6
,60,60,6,24,6,60,3360,1260,60,6,6,60,6,6,6,6,6,6,360,120,12,24,24,12,12,12,60,
60,60,60,60,6,6,18,12,6,6,6,480,120,48,12,6,6,60,24,12,360,60,60,60,60,60,6,6,
6,48,12,60,60,6,6,1260,60,6,6,6,60,6,6,120,12,6,6,60,12,360,24,60,6],[77220,
7596,60,180,15120,1260,7560,1260,60,80,100,12,28,24,8,36,4,1260,36,60,4,3360,
3360,1260,60,48,12,12,384,48,60,12,12,360,60,80,60,24,8,8,60,12,4,12,12,4,4,4,
4,4,1260,60,36,12,12,60,12,12,4,60,4,4,4,4,4,60,4,60,60,60,4,4,4,12,12,4,4,4,
1260,3360,16,16,7560,1260,360,60,360,16,8,4,360,60,16,24,8,4,12,4,4,12,360,8,8
,60,60,4,4,8,4,4,4,60,60,60,4,4,4,4,4,4,4,60,60,60,4,4,4,4,4,12,12,4,4,4,4,4,4
,4,4,4,4,4,60,4,4,4,4,4,4,4,4,4,1260,12,60,60,12,12,12,360,24,16,360,1260,1260
,360,60,36,60,60,12,12,8,4,4,360,8,8,8,80,60,24,60,12,12,8,4,4,8,4,8,60,8,60,4
,4,4,60,4,4,4,60,60,4,4,4,4,4,4,4,4,60,60,4,4,4,4,4,4,4,4,4,4,4,4,1260,12,360,
60,60,12,4,12,4,12,4,4,8,8,60,8,4,4,4,60,60,60,12,4,12,4,4,4,12,12,60,4,4,4,4,
4,8,60,4,8,4,60,3360,1260,60,4,4,60,4,4,4,4,4,4,4,4,4,4,360,8,60,12,4,4,12,4,4
,8,60,60,4,4,60,4,60,4,60,4,4,4,4,4,4,4,4,4,360,60,24,12,16,12,4,4,60,4,8,360,
60,60,60,60,4,60,4,4,4,4,4,4,4,4,8,4,60,4,60,4,4,8,4,4,1260,60,4,4,4,4,60,4,4,
4,4,60,12,12,4,4,60,4,360,4,8,60,4],[77220,6228,180,516,9450,315,3888,1452,60,
176,420,84,116,48,32,156,48,12,652,60,20,4,1260,1890,315,90,45,126,9,15,390,66
,45,15,9,45,176,372,48,24,32,32,24,60,84,68,84,132,12,12,12,12,48,652,132,60,
44,44,28,28,20,20,16,8,4,4,4,8,4,20,132,4,4,4,8,16,44,28,20,315,1260,36,48,36,
48,3780,315,45,90,84,9,6,48,3,42,12,14,9,5,3,360,66,54,42,45,98,30,18,14,9,9,
48,36,6,3,3,5,9,5,5,9,15,12,3,60,3,8,2,1,12,16,2,1,3,9,9,5,60,120,48,60,68,32,
24,24,12,12,12,20,20,8,8,8,4,4,4,4,4,4,4,4,20,132,8,16,16,16,4,4,4,4,8,8,8,8,8
,4,4,8,4,4,8,8,36,44,36,28,20,20,20,20,16,16,20,16,36,4,8,8,16,20,8,8,4,4,315,
15,45,45,9,9,15,180,6,24,2,18,20,12,6,36,20,20,18,48,6,6,12,2,2,45,630,315,45,
45,54,15,9,5,60,12,8,8,6,16,3,3,8,8,8,6,1,1,1,1,2,4,2,2,4,1,1,140,45,36,9,15,5
,30,14,36,6,12,3,3,30,18,12,14,14,14,12,12,84,48,36,42,30,36,6,6,6,6,3,3,5,3,9
,3,3,3,3,30,36,12,12,3,9,16,12,8,8,1,3,6,2,4,2,1,1,12,8,8,16,2,2,4,1,1,3,6,1,
16,12,8,8,1,1,3,4,2,6,2,1,2,8,6,4,1,2,6,4,8,1,3,3,3,5,3,1,1,60,12,24,20,8,8,4,
4,4,4,4,4,4,4,4,4,4,16,8,4,4,16,36,4,4,8,8,8,8,8,8,16,16,16,16,20,8,4,4,4,4,4,
4,4,4,8,8,4,4,4,4,4,4,8,4,4,4,315,15,1,45,45,45,9,5,9,5,9,9,3,3,9,3,15,9,3,9,9
,5,3,3,5,3,3,1,1,12,6,18,6,6,6,6,20,12,12,12,6,36,24,16,2,2,2,6,6,16,2,2,2,2,2
,2,2,2,2,2,2,2,9,9,5,30,9,30,3,3,20,3,5,9,6,3,30,6,12,120,45,24,16,9,5,5,5,3,
38,9,15,9,9,12,3,3,6,5,3,3,10,3,2,1,1,30,36,30,30,12,6,6,6,14,12,12,12,3,3,4,6
,4,3,1,1,12,8,8,8,8,8,8,6,6,6,6,16,3,1,1,1,1,1,1,6,6,6,4,2,4,4,4,4,4,2,4,2,2,1
,4,6,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,4,8,6,4,4,4,6,6,6,8,6,6,1,1,2,2,4,4,4,6,8,6
,6,1,2,2,2,2,2,2,2,2,4,4,4,8,6,6,6,1,2,2,4,4,4,6,6,8,6,1,2,2,2,2,2,2,2,2,3,3,1
,1,1,1,1,1260,315,4,16,8,4,4,4,8,4,4,4,4,4,4,4,4,45,5,45,9,5,5,9,3,1,1,9,3,9,9
,9,9,9,15,1,3,3,3,9,9,3,3,5,3,5,3,3,3,5,3,3,1,1,3,3,1,1,3,3,3,3,1,1,1,1,1,1,1,
1,1,1,1,1,1,12,6,6,2,2,2,2,2,2,2,2,2,2,6,12,12,16,6,2,6,2,2,2,2,2,2,2,2,3,3,1,
3,3,5,1,12,6,3,3,10,4,3,3,2,2,2,2,1,1,1,1,1,1,1,1,30,6,12,9,12,30,12,16,3,3,3,
3,9,3,3,3,3,5,6,6,3,3,2,1,3,4,2,1,1,1,1,4,6,2,2,2,2,2,2,4,6,4,6,4,3,1,1,1,2,1,
4,4,6,6,3,4,1,1,1,1,2,2,2,2,2,2,2,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,
4,4,4,6,6,6,8,6,6,6,6,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,1,180,45,24,9,36,48,15,4,9,3,3,3,9,9,5,5,3,3,3,3,3,3,3,3,3,1,1,1,1,3,3
,1,1,9,3,1,1,3,3,3,3,5,3,3,5,1,1,3,5,3,5,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,12,6,2,2,2,2,2,2,2,2,2,45,3,3,1,1,1,1,1,12,6,3,3,2,1,2,1,4,3,1,1,1,1,1,1,
1,2,2,2,1,4,6,2,2,2,2,1,2,2,2,2,2,1,1,2,2,2,2,2,2,2,2,2,2,2,18,9,20,12,6,3,6,2
,3,36,24,16,9,6,16,6,5,3,2,1,3,3,3,3,3,3,3,3,3,1,1,3,3,3,5,3,3,3,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,5,1,315,2,2,1,12,6,6,2,2,
2,2,3,2,1,2,6,12,16,12,6,6,3,3,2,2,1,2,2,2,1,2,2,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,3,3,1,45,9,15,12,6,2,2,2,2,2,2,2,2,2,1,1,1,9,3,9,3,5,3,1,2,45,3,3,3,1,1,1
,1,9,9,5,1,3,3,1,3,5,3,1,3,3,1,1,1,1,1,1],[75075,4095,135,235,3150,210,27,24,
315,945,35,55,195,15,23,35,11,19,45,9,15,105,45,15,11,840,210,10,36,6,6,9,1,
210,22,10,6,6,4,3,35,35,195,11,3,3,7,3,15,7,7,11,7,15,15,15,45,7,7,11,3,7,9,7,
105,35,9,9,21,15,15,3,3,15,3,3,3,3,9,3,3,3,11,3,1,7,7,15,3,3,3,15,35,15,11,3,3
,3,9,9,3,7,7,7,3,3,3,3,1,210,24,24,3,3,315,30,5,6,9,2,1,3,1,30,36,6,14,6,10,2,
2,1,210,10,36,12,6,6,2,2,2,6,2,2,6,6,2,3,1,30,10,12,6,5,45,7,9,7,7,1,5,3,15,15
,3,3,3,5,3,1,7,5,5,5,9,9,3,1,1,5,5,3,5,1,3,5,5,7,3,1,1,1,15,35,15,3,3,3,9,11,3
,3,1,3,1,1,3,1,3,3,1,1,1,1,3,9,9,9,3,7,3,3,3,3,3,3,3,3,7,7,7,3,7,3,3,3,3,3,3,3
,3,3,3,3,3,3,3,3,3,3,3,15,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,9,3,7,3,3,3,1,3,3,3,3,
3,3,3,3,3,1,1,1,1,3,1,1,1,1,1,3,1,1,1,3,1,1,1,210,6,10,60,6,24,4,4,1,6,4,105,
30,9,5,5,2,1,1,3,1,1,3,3,1,30,12,10,2,2,2,6,35,11,5,2,1,1,2,2,3,3,1,1,1,1,14,6
,2,6,2,12,36,2,6,2,2,2,2,6,6,2,2,1,12,6,2,6,12,2,12,2,2,6,2,6,6,2,6,2,24,3,3,
15,7,1,3,3,1,15,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,5,5,9,3,1,1,1,1,1,1,3,3,3,1,5,1,
1,1,7,7,1,5,1,3,3,1,1,1,1,5,5,9,1,1,1,3,1,1,1,1,3,1,1,3,3,3,3,3,3,3,1,1,1,1,1,
3,9,3,3,3,3,3,3,3,7,3,3,3,1,3,1,1,3,1,1,1,3,3,3,3,3,3,3,1,1,1,1,1,1,3,3,3,1,1,
1,1,1,1,3,1,3,1,1,7,1,3,3,3,3,1,1,1,3,3,1,1,1,1,1,1,1,1,3,1,1,1,3,1,1,1,1,1,1,
1,3,1,1,1,1,1,1,1,3,3,3,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,12,2,30,6,6,6,2,1,60,10,
6,2,6,2,6,6,6,6,2,2,4,6,5,9,7,1,2,3,5,1,1,1,1,5,2,1,3,1,1,2,35,3,3,9,3,5,1,1,1
,1,1,1,2,1,1,1,1,2,1,1,1,1,3,1,1,5,5,6,2,2,3,3,12,2,2,2,2,6,2,2,2,2,6,2,2,6,2,
6,2,2,2,2,2,2,2,6,1,2,6,2,2,24,4,1,1,5,9,1,1,1,1,3,1,1,1,1,1,1,1,1,1,3,3,1,3,3
,3,3,3,1,1,3,3,3,1,1,1,1,7,1,1,1,1,3,1,1,1,1,3,1,1,3,3,1,1,1,1,1,1,1,1,1,1,3,3
,1,1,1,1,1,1,1,1,3,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,1,1,3,1,1,1,1,3
,1,3,1,3,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,30,2,4,6,2,6,12,6,2,2,12,2,2,
6,1,2,2,6,6,2,2,2,2,2,2,6,6,2,3,5,5,1,3,3,1,1,1,1,1,7,1,3,1,3,5,1,2,1,1,1,5,3,
1,1,5,1,3,3,9,3,3,1,1,2,1,1,1,1,1,1,1,3,1,3,1,1,6,3,3,1,3,1,2,2,3,1,1,2,3,3,1,
3,2,2,1,3,2,2,6,6,2,2,2,2,2,1,2,2,1,1,1,1,1,1,1,1,24,6,4,4,3,1,1,3,3,3,1,3,1,1
,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1
,1,1,1,1,5,2,2,1,1,2,12,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,1,1,5,1,1,1,1,1,1,1,
1,1,1,1,1,3,1,1,1,2,1,1,3,1,1,1,1,1,6,1,1,3,3,1,1,1,1,1,1,3,3,1,1,1,1,2,3,1,2,
2,1,1,1,3,1,2,2,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,6,6,4,2,3,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,5,1,5,1,2,1,1,1,2,3,2,1,1,2,2,2,2,2,2,2,2,2,2,3,1,1,1,3,1,1,1,1,1,1,3,1,
1,1,3,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,2,6,2,2,1,5,1,1,1,1,1,1,1,3,1,3,1,1,1,1,1,
1,1,1,1,1,2,2,1,3,1,1,1,1,1,1,1,1,1,1,2,2,2,2,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1],[72072,2520
,120,488,7560,882,36,2016,168,120,144,168,24,56,32,16,72,24,8,84,36,392,12,504
,42,40,2,144,6,38,4,6,384,56,2,30,6,2,144,8,32,8,16,16,8,120,24,8,24,24,8,8,8,
8,24,84,4,36,12,12,12,12,4,12,4,4,4,12,12,12,4,882,36,36,392,8,40,12,8,40,2016
,42,300,12,120,6,6,300,48,6,24,12,2,2,24,8,24,8,2,48,44,12,4,24,24,2,2,2,6,2,2
,6,6,8,2,8,8,24,80,2,120,24,8,16,8,8,8,8,8,4,12,12,12,4,4,4,4,4,4,4,4,12,12,4,
4,4,4,4,12,4,4,4,42,38,4,6,6,2,102,6,18,12,6,2,2,8,4,4,30,2,12,12,36,8,8,4,8,8
,8,36,40,4,4,8,4,4,84,42,2,36,6,6,8,4,2,8,4,8,4,144,2,32,6,6,12,2,8,2,2,8,12,2
,44,12,4,4,4,16,8,8,2,6,2,2,2,2,8,8,8,8,24,4,8,4,8,4,4,4,12,36,80,2,4,2,2,14,2
,2,14,2,4,2,8,8,4,12,4,4,4,4,4,4,4,42,6,300,12,6,6,6,2,2,6,2,6,10,16,2,4,2,2,2
,2,4,2,6,6,6,2,8,12,2,2,2,2,6,2,8,4,36,4,4,4,4,8,8,8,8,4,4,4,4,4,4,4,4,4,4,4,4
,4,4,2,120,6,24,16,2,8,2,120,6,4,2,12,4,6,2,2,2,12,6,6,12,2,2,4,2,4,8,8,4,2,12
,8,4,4,4,4,4,4,4,4,12,12,12,8,4,6,6,2,392,42,12,2,4,36,2,6,14,2,2,2,4,2,4,2,4,
2,4,2,4,8,4,2,2,6,2,2,2,6,24,12,2,44,12,4,2,2,6,2,2,6,6,2,2,2,2,4,2,2,2,12,2,2
,2,2,8,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,8,8,2,6,12,4,2,2,2,2,2,4,4,8,2,4,12
,4,4,12,2,2,4,4,12,6,4,2,2,2,2,2,4,2,12,2,12,6,8,40,6,36,4,2,2,4,2,2,4,2,4,2,2
,2,4,2,120,6,6,8,4,2,2,4,2,2,2,2,2,2,2,4,2,4,2,4,2,8,2,4,80,12,2,2,2,2,2,2,2,2
,2,2,2,2,4,2,4,2,4,6,2,2,2,2,2,2,2,2,36,6,8,8,4,4,4,2,2,4,4,2,4,2,4,2,2,2,2,4,
4,2,4,8,2,12,6,2,2,2,4,12,2,42,4,4,14,2,2,2,6,2,4,2,2,2,2,2,2,2,2,6,2,2,2,8,4,
4,4,2,4,4,4,2,2,4,2,12,2,2,2,2,2,2,6,36,6,2,6,2,2,4,2,2,2,4,12,2,2,2,2,2,2,6,2
,2,4,2,4,2,4,2,2,2,4,2,2,2,2,2,2,4,2,12,2,2,2,2,6,2,2,2,2,2,2,2,2],[72072,2352
,600,7560,882,36,2016,84,120,160,200,48,84,24,56,48,8,392,12,448,42,192,58,12,
384,24,12,18,160,120,24,28,24,56,48,16,16,16,12,8,4,8,12,16,16,882,36,36,392,
52,12,52,2016,42,300,12,120,6,6,300,36,6,12,6,8,4,4,16,64,48,12,36,6,10,4,12,
14,16,2,12,20,2,80,2,120,24,12,8,4,8,4,4,12,12,12,8,4,16,16,8,8,12,8,4,4,42,58
,12,12,100,12,12,4,4,18,12,12,2,6,4,36,14,36,52,14,6,6,56,42,48,10,16,8,4,2,2,
8,4,16,8,2,2,160,10,4,4,4,4,48,8,8,6,16,4,4,4,6,20,12,4,4,2,8,8,2,8,8,2,4,4,12
,36,80,2,4,18,2,18,2,4,8,4,4,12,8,4,4,4,4,42,10,2,300,12,6,6,6,8,24,4,4,6,6,10
,6,14,12,12,4,4,4,4,2,2,36,14,4,4,2,2,6,6,6,6,6,2,120,6,24,6,120,6,16,6,16,6,
10,12,4,4,8,2,4,4,12,2,8,4,4,8,2,4,4,4,4,4,12,12,12,12,4,12,4,392,42,12,2,4,2,
36,2,2,2,18,4,2,4,4,4,4,16,4,2,2,2,6,6,20,12,12,4,2,48,6,4,6,10,2,6,4,4,4,4,2,
2,2,2,2,4,2,2,2,6,2,2,2,2,2,8,2,8,4,2,2,6,12,8,6,4,2,2,4,12,2,4,12,2,2,12,4,6,
12,4,4,4,4,4,2,6,52,10,36,2,2,6,6,2,2,2,4,120,6,6,6,8,4,8,4,2,4,4,4,4,4,4,2,2,
2,2,2,2,80,12,2,2,2,2,2,2,2,2,4,2,6,2,4,2,4,4,4,4,36,6,14,6,4,4,2,2,4,2,6,2,6,
2,2,2,8,2,12,6,2,4,4,2,12,2,42,4,2,18,4,2,2,2,4,4,2,2,2,6,2,2,4,4,2,2,2,6,2,2,
2,2,2,2,4,2,12,2,2,2,36,6,2,10,2,2,4,4,2,2,2,12,2,2,2,2,2,2,6,6,4,2,2,2,6,2,2,
2,2,4,2,4,2,2,2,2,2,12,2,2,6,4,2,2,2,2,2,2,2],[72072,7056,440,7560,882,36,2016
,1932,120,160,440,60,24,672,24,120,392,12,2352,882,20,120,12,30,6,600,8,20,30,
2,160,440,120,60,24,672,160,24,24,24,120,12,12,120,160,12,24,882,36,36,392,36,
12,36,2016,42,300,12,120,6,6,300,120,6,8,4,6,600,20,120,48,6,6,8,8,6,30,4,2,
300,6,4,48,6,80,2,120,60,24,120,120,12,12,12,120,160,12,12,12,12,24,24,24,12,
24,12,12,882,12,30,6,6,20,180,12,12,36,6,2,2,30,2,150,36,2,12,36,2,36,36,2,2,2
,672,42,300,20,24,120,6,12,6,6,4,2,300,48,6,6,4,4,4,4,160,20,6,4,2,8,4,48,120,
6,8,8,4,4,6,48,6,4,48,6,4,48,6,4,4,4,12,36,80,2,12,2,12,2,120,12,12,12,24,12,
12,12,12,42,6,300,12,6,6,6,180,20,6,12,30,2,2,2,6,6,30,6,2,6,30,2,2,6,6,36,2,
36,36,2,2,2,2,2,2,2,2,120,6,24,6,120,6,160,20,24,6,6,6,6,12,4,2,120,6,8,4,12,6
,48,6,4,4,4,4,4,4,4,4,12,12,36,12,6,6,2,392,42,12,2,80,2,36,2,12,2,12,2,12,300
,12,6,4,2,20,6,6,48,12,6,6,2,6,48,12,6,2,6,6,6,6,30,6,2,4,2,6,6,6,6,36,2,2,2,2
,2,2,2,2,2,120,6,120,12,6,6,6,12,24,6,6,12,12,6,6,12,4,12,12,12,36,12,12,6,6,2
,6,2,2,2,150,20,2,12,2,36,6,36,2,2,2,2,2,12,2,120,6,6,48,12,6,4,2,2,2,6,6,6,6,
6,6,4,2,4,2,4,2,2,80,12,2,2,2,2,2,2,12,6,12,12,6,6,6,6,2,2,2,2,2,36,6,2,36,6,
36,6,2,2,36,2,2,2,2,2,2,120,6,12,6,6,6,4,2,12,2,42,80,12,2,12,2,2,12,2,2,2,2,2
,6,6,6,2,36,6,2,2,2,2,2,2,2,2,2,12,6,12,2,20,36,6,2,6,12,2,2,2,6,2,12,2,2,2,12
,2,6,36,6,2,6,6,2,2,2,2,2,12,2,2,2,2,2,6,2,2,12,2,2,6,2,2,12,2,2,6,2,2],[72072
,2016,80,440,5040,63,18,36,1512,56,80,120,16,16,24,8,48,24,8,252,36,120,392,12
,336,49,15,88,7,12,9,6,6,6,120,32,5,15,5,2,2,60,16,4,4,4,8,12,8,4,12,42,10,30,
18,6,6,10,6,6,12,8,6,120,60,4,12,12,4,4,42,12,6,9,3,392,36,12,36,1512,56,8,9,5
,6,4,8,9,5,8,3,1,3,5,24,8,9,3,8,8,5,3,3,5,1,1,3,9,8,3,2,2,120,15,1,24,3,9,20,8
,6,4,2,4,60,12,6,4,4,4,2,12,6,8,4,4,2,4,2,2,6,6,4,4,4,2,2,4,6,6,2,2,12,6,2,42,
12,6,6,2,3,1,2,4,4,4,4,6,6,4,4,1,3,1,3,6,2,2,30,36,10,12,12,6,12,36,6,2,2,42,
42,10,30,6,6,8,9,6,5,4,1,1,8,9,3,8,5,3,1,1,1,1,60,16,4,12,1,1,1,1,3,1,1,1,3,3,
1,3,1,4,4,3,3,3,3,4,1,3,24,3,1,9,1,3,3,3,4,1,1,1,12,3,20,8,6,4,6,4,6,4,4,2,2,2
,2,2,4,2,2,2,2,6,2,42,6,8,9,5,2,2,4,4,4,6,2,2,2,4,2,1,2,2,1,2,6,2,2,2,2,2,2,2,
2,6,6,12,6,36,12,6,2,2,2,2,2,2,2,6,6,4,4,2,6,4,4,4,4,2,2,6,6,6,6,4,2,1,4,1,60,
12,1,1,6,6,2,3,3,1,3,1,1,1,4,1,1,1,1,1,1,12,12,3,3,3,1,1,1,1,336,49,2,2,2,20,8
,12,6,6,4,6,4,2,8,9,5,1,1,4,2,2,3,3,3,2,4,3,2,3,3,3,4,3,6,2,6,6,2,2,2,2,1,1,2,
2,2,2,12,6,2,2,2,2,2,2,2,2,6,4,6,6,4,4,2,2,2,2,2,2,2,6,6,2,2,2,2,2,2,2,1,12,12
,12,3,3,3,2,1,1,1,1,1,1,1,1,5,8,5,2,2,2,24,9,12,6,2,2,2,2,6,4,6,4,2,3,1,3,3,1,
3,4,1,1,6,2,2,2,2,2,1,1,1,1,1,1,2,4,6,4,2,2,2,2,2,2,2,2,12,3,2,2,2,1,1,1,1,1,1
,3,4,3,24,9,3,4,1,3,12,6,1,2,2,2,2,6,4,2,2,2,2,2,1,1,6,4,42,4,6,4,2,2,2,2,2,2,
2,2,2,2,2,2,1,3,4,3,1,1,1,1,1,2,2,1,2,2,6,4,4,3,4,3,6,2,2,2,2,2,1,3,1,1,1,6,4,
2,3,4,3,2,6,1,1,1,1,2,3,1,1,1,1,1,2,1,1,2,2,2,2,1,1,2,2,2,2,1,1],[72072,4368,
192,120,5292,504,36,1008,840,40,40,120,64,16,280,40,16,112,2,1232,420,32,24,24
,4,8,252,12,12,24,24,40,120,40,8,16,280,40,40,8,8,16,8,40,40,16,8,8,504,36,36,
112,8,2,2,8,2,1008,132,40,12,4,132,48,12,4,12,12,4,4,200,24,8,16,8,4,4,24,4,4,
120,8,16,4,4,22,4,2,40,40,40,8,40,40,16,8,8,8,8,420,4,8,62,24,6,12,8,4,8,8,24,
12,12,40,8,2,2,8,8,8,2,280,120,40,8,4,120,8,8,4,40,4,8,12,4,4,8,24,4,8,4,16,4,
4,4,8,4,8,4,8,4,4,4,4,2,36,22,4,2,2,2,2,2,2,2,8,40,8,8,8,4,132,12,12,12,4,40,
24,4,8,4,4,12,12,4,4,14,8,4,4,4,2,4,6,6,4,8,8,8,2,4,40,4,40,4,4,40,8,40,8,4,4,
8,4,4,4,4,4,4,4,2,2,2,12,12,4,8,8,112,2,20,2,8,2,2,4,4,2,2,2,2,2,2,8,120,4,4,
16,4,6,4,8,2,4,4,4,4,4,4,6,2,2,6,4,2,2,2,8,4,2,2,40,8,4,8,40,4,4,4,4,4,2,2,2,2
,2,8,4,12,8,4,4,4,4,4,40,2,2,8,2,8,2,2,2,2,2,2,40,4,4,4,8,4,4,4,4,4,2,2,2,2,22
,4,2,2,4,2,2,8,4,2,2,2,2,2,4,6,4,4,4,4,2,8,8,8,2,8,2,40,8,4,4,4,4,4,2,2,2,2,2,
2,20,2,2,2,4,4,2,2,2,2,2,4,4,2,8,4,8,4,2,2,2,2,2,2,8,2,2,2,2,2,2,2,4,4,2,4,2,2
,2,2,8,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2],[72072,6384,600,5292,504,36,1008,1932,40
,120,600,180,36,364,36,40,112,2,1680,504,168,48,12,516,60,12,48,120,600,40,180
,36,364,120,36,36,36,40,12,12,40,120,12,36,504,36,36,112,24,2,24,1008,132,40,
12,4,132,168,12,4,24,60,12,516,168,40,60,60,12,48,12,12,24,132,12,4,40,4,4,22,
4,2,40,180,36,40,40,12,12,12,40,120,12,12,12,12,36,36,36,12,36,12,12,504,48,12
,12,144,24,36,12,12,48,12,12,52,8,12,2,8,12,8,24,12,4,4,364,132,36,40,12,4,132
,40,12,12,12,12,4,4,4,120,12,60,12,4,40,168,12,60,60,12,12,24,40,4,12,4,40,12,
4,40,12,4,4,12,4,4,12,2,36,22,4,6,2,10,4,10,4,6,40,12,12,12,36,12,12,12,12,132
,12,12,12,4,144,24,24,48,4,12,12,12,24,48,12,24,12,12,48,12,12,4,24,12,4,4,8,
12,8,24,4,12,4,4,4,4,4,4,40,36,4,40,4,4,120,36,12,12,4,40,60,12,12,40,12,12,12
,4,4,4,4,4,12,12,4,4,4,4,12,4,4,12,4,12,4,4,2,2,12,36,12,12,12,112,2,22,6,4,8,
2,2,10,4,2,2,10,6,4,2,6,6,6,2,2,12,132,12,4,4,4,12,24,40,4,12,4,40,12,4,12,48,
4,4,24,24,12,12,12,4,12,4,4,24,4,4,4,4,4,4,4,4,4,2,8,4,4,12,4,4,4,4,4,4,4,4,40
,40,12,12,36,4,12,4,12,4,12,4,4,12,4,4,4,4,2,2,2,2,2,36,12,12,12,12,12,12,12,
12,12,52,12,2,24,8,2,2,4,2,4,2,10,6,4,2,6,2,2,6,2,2,2,2,6,40,4,4,4,40,12,4,4,4
,24,4,12,4,12,4,4,12,4,12,4,4,4,4,4,4,4,2,2,4,22,4,2,2,4,4,4,4,4,4,4,4,12,4,2,
2,12,12,12,12,12,4,4,12,12,4,8,12,8,24,4,12,8,4,2,4,2,4,2,2,6,2,2,2,40,4,12,4,
4,12,4,4,4,4,4,4,2,2,2,2,2,2,22,6,4,10,4,10,4,2,6,2,4,2,2,4,4,4,4,2,4,12,12,4,
4,4,4,8,4,4,12,4,4,4,4,2,4,12,4,2,2,2,2,2,8,2,2,10,6,4,2,6,2,6,2,6,2,2,2,4,4,4
,4,2,4,4,4,4,4,4,2,2,2,2,8,2,4,4,2,6,2,2,2,2,2,2,4,2,2,2,2,4,4,4,4,4,2,4,2,2,2
,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2],[72072,4368,120,5292,504,36,1008,840,40,40,120
,280,16,40,112,2,1232,420,24,4,252,12,12,24,40,120,40,280,40,40,40,40,8,4,504,
36,36,112,8,2,8,1008,132,40,12,4,132,48,12,4,12,12,4,200,24,8,4,120,4,16,16,4,
4,4,4,22,4,2,40,40,40,8,40,40,4,420,4,62,6,12,8,4,24,12,12,40,8,2,8,8,8,280,
120,40,120,8,40,4,12,4,4,8,24,16,4,4,4,8,4,8,4,4,8,4,2,36,22,4,2,2,2,2,2,40,4,
4,8,132,12,12,12,4,40,4,12,12,4,14,8,4,2,6,4,4,4,6,4,4,8,8,8,4,40,4,40,4,4,40,
40,8,4,4,8,4,4,4,2,2,12,12,4,8,112,2,20,8,2,2,4,4,2,2,2,2,2,4,120,16,4,6,4,8,2
,4,4,4,4,6,2,2,6,4,2,4,2,2,8,4,2,2,40,40,4,4,4,2,2,2,8,12,8,4,4,4,4,40,2,8,8,2
,2,2,2,2,40,4,4,4,8,4,4,4,4,2,2,2,22,4,2,2,4,2,2,4,2,2,6,4,4,4,4,2,8,8,8,8,2,
40,4,4,2,2,2,2,20,2,4,4,2,2,2,2,2,4,4,2,8,4,4,2,2,2,8,2,2,2,2,2,2,4,2,4,2,2,2,
2,8,2,4,2,2,2,2,2,2,2,2,2,2,2],[68640,3648,480,8880,564,24,60,3360,280,80,160,
72,280,72,1120,1152,284,192,76,36,24,240,48,12,36,40,80,24,280,72,24,24,24,564
,60,60,24,24,24,24,24,1120,48,48,3360,280,120,12,16,12,4,120,12,16,12,4,16,8,
40,64,16,24,24,4,28,12,12,40,24,12,12,16,4,8,40,4,24,284,76,24,24,24,24,24,36,
36,60,12,20,12,4,8,36,12,12,40,24,48,40,4,4,4,4,280,280,40,72,24,24,8,12,4,12,
40,8,8,24,8,12,12,4,80,24,8,8,16,4,8,8,4,16,4,8,4,8,4,8,60,24,24,24,40,4,12,4,
12,4,280,24,120,12,12,12,12,12,12,12,16,12,12,12,4,4,4,8,24,4,8,12,12,12,12,4,
28,4,12,12,12,4,4,4,4,4,4,4,4,12,12,12,4,8,8,4,4,4,24,24,8,8,4,8,12,20,4,8,36,
24,24,24,12,8,1120,280,8,4,4,4,12,4,4,4,4,4,4,40,24,8,12,12,12,12,12,12,12,12,
12,12,4,4,4,4,4,16,16,4,4,4,4,16,4,8,4,4,4,24,4,4,8,4,4,4,4,4,4,4,4,4,4,12,12,
12,4,4,4,4,24,4,4,4,12,16,4,12,12,12,12,12,12,12,4,12,4,4,4,4,4,12,8,8,4,40,24
,48,24,4,4,4,4,4,8,8,4,4,4,4,8,4,4,4,24,8,40,40,16,4,4,4,4,4,4,4,4,4,12,4,4,4,
4,4,12,4,12,12,12,12,12,4,4,4,4,4,4,4,4,8,4,8,12,8,4,4,8,280,8,4,12,8,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,24,4,4,4,4,16,4,4,4,4,4,4,4,8,4,4,40,4,4,8,4,
4,4,4,4,4,4],[68640,5376,160,8880,564,24,60,3360,1120,80,160,560,1120,1792,420
,40,32,8,4,384,16,40,12,36,4,40,80,160,560,80,80,564,60,60,24,24,24,24,24,1120
,16,16,3360,280,120,12,16,12,4,120,12,64,12,16,16,8,320,40,32,16,4,4,80,32,8,8
,40,4,80,420,8,4,40,112,8,8,8,36,16,4,4,4,12,2,2,2,2,36,12,12,4,160,16,40,4,4,
4,4,560,280,80,40,8,80,16,80,40,8,4,16,8,16,32,4,32,8,8,16,16,8,60,24,24,24,40
,4,4,2,2,4,280,120,12,12,12,12,12,12,12,16,12,12,12,4,4,4,80,40,8,4,12,12,12,
16,4,4,20,8,4,4,4,8,4,8,8,8,16,8,2,2,2,4,80,40,16,8,12,36,8,4,12,2,2,16,4,12,2
,2,1120,280,20,10,4,2,4,4,4,4,4,4,80,8,40,4,32,16,8,4,2,4,8,8,16,8,4,2,4,4,4,4
,8,4,4,8,8,4,4,8,4,8,4,4,24,4,2,2,12,24,8,16,4,12,12,12,12,12,12,4,8,8,4,4,8,4
,4,2,160,40,16,2,4,2,2,2,2,16,8,4,8,4,4,12,2,40,40,16,4,4,4,2,2,4,8,4,4,4,8,8,
2,8,4,8,4,8,4,4,2,4,4,4,16,12,6,2,4,280,20,8,2,10,4,4,4,2,2,4,4,4,2,4,4,4,4,4,
8,2,40,2,4,16,4,4,2,2,2,4,4,8,4,2,40,4,8,2,4,4,2,2,4,2],[68640,3360,160,32,
8880,564,24,60,3360,280,32,32,8,280,8,1120,1120,280,80,2,8,10,2,4,2,120,32,2,
12,12,10,2,4,40,32,8,280,8,8,8,8,564,60,60,24,24,24,24,24,1120,32,32,3360,280,
120,12,16,12,4,120,12,16,12,8,4,2,2,2,2,40,32,8,8,2,8,2,2,8,2,2,40,2,8,16,4,2,
2,8,40,4,8,280,2,4,2,2,40,10,8,2,2,16,4,2,2,2,2,4,4,4,4,4,4,2,2,2,2,12,12,12,2
,4,40,8,32,40,4,4,4,4,280,280,40,8,8,2,2,40,8,2,2,32,8,2,2,2,2,8,8,2,2,2,16,8,
4,2,2,2,2,8,2,8,2,2,60,24,24,24,40,4,2,2,2,2,280,120,12,12,12,12,12,12,12,16,
12,12,12,4,4,4,8,8,2,2,2,12,12,12,4,2,2,2,2,4,2,2,2,2,2,4,2,2,2,2,2,2,2,2,4,2,
4,4,2,8,8,2,2,2,4,8,8,8,2,2,12,16,2,4,2,4,4,2,2,4,2,4,2,2,4,4,1120,280,2,4,4,2
,2,2,4,4,4,4,4,40,2,2,8,2,16,8,16,4,2,2,4,2,2,2,2,4,4,2,2,8,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,4,2,2,2,2,4,2,2,2,2,2,2,4,2,2,2,2,2,24,4,2,2,12,2,2,16,4,12,12,12,12
,12,12,4,4,2,4,2,2,2,2,2,2,2,2,40,8,8,32,2,2,2,2,2,2,8,2,2,2,2,2,2,2,4,4,2,40,
40,16,4,4,4,2,2,4,2,2,2,2,4,2,2,2,4,2,4,2,2,4,4,4,2,2,2,2,2,2,2,2,2,2,8,12,2,2
,4,280,2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,4,4,4,4,2,4,2,2,8,2,2,16,4,4,2,2,2,2,4,2,
2,2,40,4,8,2,4,4,2,2,4,2],[61776,3168,240,7560,252,3024,252,40,80,36,336,48,80
,1016,6,1008,252,72,12,96,24,12,36,40,12,252,36,12,12,80,40,12,24,252,1016,28,
6,28,3024,252,36,36,8,4,36,24,12,4,12,96,12,8,24,8,12,4,5,2,40,12,12,12,12,24,
12,252,12,12,42,28,14,6,4,2,4,28,2,6,6,36,252,252,36,36,12,4,36,4,4,4,40,12,4,
4,4,24,12,4,8,4,8,4,6,4,5,2,1,3,2,3,2,1,12,1,252,12,36,12,12,12,4,2,28,4,2,6,2
,6,2,2,2,4,2,12,12,4,40,12,12,12,4,8,4,4,4,4,4,6,6,1008,252,5,2,1,4,2,1,1,3,1,
2,3,1,2,1,1,1,1,1,1,1,36,4,12,12,12,4,4,2,2,2,2,2,6,4,2,2,2,12,12,4,6,6,6,2,2,
1,36,12,24,12,4,2,1,1,2,2,1,2,2,1,3,1,2,1,1,1,1,1,1,1,1,1,1,1,12,4,4,4,2,36,1,
2,2,2,2,2,6,2,1,24,12,4,4,2,4,1,2,2,1,2,2,1,1,1,1,1,1,4,3,2,4,252,1,2,2,1,1,2,
2,1,4,2,2,1,3,2,1,1,12,1,1,1,2,1,3,2,1,1,12,1,1,2,1,36,2,4,2,4,1,1,1],[60060,
5628,60,540,5250,399,12,39,1344,1736,20,120,540,60,60,16,16,160,40,4,392,40,20
,4,280,1554,399,10,15,158,3,5,51,1,21,12,486,42,15,3,51,3,3,120,540,16,16,16,
16,16,20,60,60,60,160,4,4,4,4,40,392,120,40,40,40,16,16,16,20,8,8,4,4,4,4,4,20
,120,4,4,4,4,8,40,16,16,399,39,39,12,12,12,12,12,280,28,28,1344,35,96,3,5,20,9
,2,1,2,1,96,3,158,9,2,10,11,42,4,12,7,1,3,1,486,10,10,10,15,158,32,4,4,7,7,42,
42,2,1,1,3,3,3,3,9,51,12,1,1,1,3,11,3,96,1,12,2,3,5,4,32,2,5,1,1,25,4,20,160,
40,60,60,16,16,16,4,4,4,20,20,8,8,8,4,4,4,4,4,4,4,4,20,120,8,8,8,8,4,4,4,4,4,4
,4,4,4,4,4,4,4,4,4,4,40,40,40,16,16,16,16,16,16,16,16,8,40,4,4,4,16,16,8,8,4,4
,399,5,51,1,12,12,12,12,12,21,21,15,135,3,11,5,5,39,21,3,3,3,1,1,12,2,2,2,2,51
,3,3,3,90,4,6,4,6,4,28,6,2,2,392,35,96,15,40,20,7,3,5,1,1,12,1,4,3,3,1,2,5,2,1
,96,4,4,4,4,32,1,1,12,12,12,12,1,1,1,1,2,2,2,2,2,3,5,5,1,120,15,16,3,7,1,12,3,
4,1,1,42,12,10,2,4,1,3,32,4,4,4,4,4,4,4,158,10,10,10,10,10,2,2,2,2,3,3,3,3,9,1
,1,1,1,42,42,1,12,12,11,7,1,32,4,4,4,5,1,12,2,2,2,1,1,1,4,4,4,32,2,2,2,1,1,1,
12,5,1,32,4,4,4,1,1,1,2,2,12,2,5,1,2,12,4,2,1,2,12,2,4,1,39,12,12,12,25,4,1,9,
4,9,4,1,60,4,16,20,8,8,4,4,4,4,4,4,4,4,4,4,4,16,4,4,4,8,40,4,4,4,4,4,4,4,4,16,
16,16,16,16,8,4,4,4,4,4,4,4,4,8,8,4,4,4,4,4,4,8,4,4,4,35,7,1,96,3,3,3,3,3,3,3,
5,9,9,9,2,2,2,2,1,135,15,3,3,11,11,7,5,51,1,1,1,1,1,1,3,3,3,1,5,3,12,1,21,2,2,
2,9,3,3,11,1,51,9,1,1,1,11,3,3,3,7,51,1,1,1,1,1,1,3,3,3,1,1,5,1,3,11,3,3,1,1,3
,1,9,5,3,3,5,1,4,6,4,28,2,6,2,2,2,2,2,4,20,1,40,1,2,4,16,3,3,7,4,1,1,20,2,1,1,
10,2,4,120,15,16,16,3,3,3,3,3,40,1,7,7,7,8,1,1,1,1,4,4,1,1,1,12,4,2,1,3,20,1,4
,1,2,1,10,10,10,42,12,2,2,2,4,4,4,4,1,3,2,4,8,1,2,1,1,4,4,4,4,4,4,4,4,4,4,4,32
,1,1,1,1,1,1,1,12,12,12,2,2,2,2,2,2,2,2,2,2,2,5,1,2,4,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,12,12,2,2,2,4,4,4,4,4,4,1,1,2,2,2,2,2,4,4,4,12,1,2,2,2,2,2,2,2,2,2,2,2
,4,4,4,12,1,2,2,2,2,2,4,4,4,12,1,2,2,2,2,2,2,2,2,3,39,5,3,12,1,2,2,21,12,12,12
,21,3,12,2,2,280,35,25,1,4,1,1,9,1,9,1,4,1,1,1,1,1,1,4,16,4,4,4,4,8,4,4,4,4,4,
4,4,4,96,5,1,12,1,3,3,3,3,3,3,3,3,5,5,5,2,2,2,2,1,15,3,3,3,7,1,1,1,9,1,11,1,32
,4,5,1,5,1,1,2,2,3,1,1,1,1,1,9,3,2,32,4,5,1,1,1,9,3,2,2,1,1,1,1,1,3,5,2,1,7,1,
3,9,1,1,51,7,1,1,1,1,1,1,1,5,5,11,11,3,3,1,1,3,1,1,1,3,12,1,3,1,9,1,1,1,1,1,5,
1,3,9,1,1,1,1,1,3,5,1,1,5,1,1,11,3,3,1,1,5,1,5,1,5,1,5,5,3,3,1,3,5,1,1,1,5,1,1
,1,1,5,3,1,1,5,1,1,1,4,2,2,6,2,2,2,12,4,4,4,20,4,1,2,1,1,16,4,1,3,20,8,1,1,4,4
,4,4,1,1,1,1,1,1,2,2,1,1,10,2,4,1,8,40,16,16,1,1,1,1,7,3,3,3,3,3,4,4,4,2,1,1,4
,1,4,1,1,8,4,1,1,1,2,1,2,4,2,2,2,2,2,2,2,4,2,4,8,1,1,1,1,4,1,2,2,2,4,4,1,8,2,1
,1,1,1,4,2,2,2,2,2,2,4,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4
,4,4,4,12,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,39
,5,3,1,1,3,2,1,5,1,2,3,9,3,3,3,3,3,2,3,3,1,3,1,3,3,1,1,3,21,3,1,12,2,2,21,1,1,
3,3,3,2,2,3,1,2,90,15,6,3,28,7,4,1,1,2,1,2,1,9,1,1,1,1,1,1,1,1,1,1,1,4,20,1,1,
1,1,2,2,1,3,2,1,4,1,32,5,4,4,4,1,1,1,1,1,1,1,1,1,1,12,3,3,3,2,2,1,1,1,1,1,1,5,
5,2,2,3,2,1,11,3,5,1,1,1,1,1,1,1,1,1,1,1,9,1,1,5,1,7,1,1,1,1,1,3,3,3,12,1,2,1,
1,1,4,3,1,2,1,2,1,1,4,1,1,1,12,2,3,1,4,1,1,1,2,12,1,3,1,1,2,1,2,1,1,5,1,1,5,1,
1,5,1,1,1,1,1,5,1,5,5,1,1,1,1,1,1,3,1,1,1,5,2,12,12,2,25,5,4,2,1,4,4,16,4,3,1,
4,1,4,1,4,1,8,1,1,1,1,1,1,1,1,4,4,4,2,1,2,4,2,2,2,4,1,2,2,2,4,4,1,1,2,2,2,2,2,
2,2,2,2,2,2,5,1,1,1,1,3,3,1,1,1,9,3,1,1,2,3,3,1,3,1,1,1,9,2,21,3,1,1,3,2,3,1,3
,1,5,2,3,3,3,3,3,1,1,3,1,1,5,2,3,1,1,3,1,3,1,1,1,3,1,1,3,1,3,3,1,1,1,1,1,3,1,2
,5,1,1,3,3,1,2,1,1,1,3,4,1,6,3,4,1,28,7,2,6,3,1,4,2,1,1,2,1,2,1,1,1,1,1,1,20,4
,1,1,2,2,1,1,1,4,1,1,4,2,1,8,1,1,2,1,1,1,1,1,1,2,2,4,1,1,2,1,2,4,1,1,2,1,2,1,1
,3,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1,1,1,4,4,4,12,3,1,2,2,1,1,2,1,2,1,1,2,1,1,2,2,
2,1,1,1,2,2,1,2,2,1,2,1,2,2,1,1,2,1,2,1,1,1,2,2,1,2,1,2,1,1,1,1,1,1,1,5,1,1,1,
1,3,12,2,12,2,2,2,2,35,25,5,1,1,9,3,4,2,9,3,1,1,1,4,1,1,2,4,1,3,1,2,1,1,9,1,1,
2,1,1,3,1,3,1,1,1,3,1,1,1,1,3,1,1,5,2,3,1,1,1,1,1,1,1,5,1,2,1,1,1,3,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,3,1,5,1,1,2,3,1,5,1,1,2,1,1,1,1,3,4,1,2,1,2,6,3,1,2,1,2,1,2,
1,2,1,4,2,8,1,4,1,1,1,1,1,2,4,1,1,2,4,1,2,1,4,1,1,2,1,1,1,2,2,2,1,2,1,2,1,2,2,
1,1,2,1,2,2,1,1,2,1,1,2,1,3,12,2,3,1,3,1,2,2,2,15,3,4,1,1,1,7,1,1,9,1,1,3,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,2,1,1,1,3,1,2,1,1,2,1,1,2,5,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,2,1,5,2,4,2,4,2,4,1,2,1,3,1,3,1,1,1,1,3,1,2,1,3,4,1,7,1,
3,1,1,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,2,1,2,1,1,2,1,1,1,1,5,
1,1,3,2,1,1,4,2,3,3,1,1,1,1,1,1,1,3,1,1,2,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,3,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1],[51480,5040
,40,10260,1008,72,5040,840,40,40,40,840,40,2240,2240,840,40,300,4,40,24,4,240,
40,40,40,40,840,40,40,40,40,40,40,40,1008,72,72,2240,5040,840,300,24,40,24,4,
300,24,24,4,4,4,240,40,240,24,4,80,8,40,40,40,40,40,40,40,40,840,40,80,24,8,4,
4,24,4,240,240,12,12,840,840,240,40,40,40,240,40,40,40,4,4,4,4,4,4,4,40,4,24,4
,4,4,4,4,4,4,72,80,8,40,40,40,40,40,840,300,24,24,24,24,4,40,40,24,12,4,12,8,
40,4,40,4,4,40,40,40,40,4,4,4,4,4,4,4,24,8,4,40,2240,840,40,12,12,40,240,40,24
,24,4,12,4,4,4,4,4,12,4,8,40,40,40,4,40,4,40,4,4,4,4,4,24,24,4,4,240,40,40,4,4
,4,4,4,4,4,4,240,40,40,4,4,80,24,8,4,40,40,4,12,4,40,40,4,4,4,4,4,4,840,40,12,
4,4,12,4,4,8,40,4,4,40,4,4,24,4,40,4,4,240,4,12,40,4],[51480,2736,360,7020,630
,72,2592,216,40,80,120,48,72,12,212,60,8,840,856,210,132,42,12,240,36,30,30,80
,40,24,24,12,212,60,20,20,16,8,8,4,8,8,20,16,630,72,72,840,36,36,2592,210,180,
24,40,18,6,4,180,30,18,4,18,6,12,6,8,30,24,44,20,18,26,6,18,2,10,30,18,4,6,6,
26,2,6,60,40,12,12,8,4,8,4,4,8,8,8,8,4,20,16,8,8,8,8,4,4,210,42,12,12,70,6,24,
4,30,30,18,4,12,6,12,36,6,2,2,30,6,6,212,210,30,60,18,18,8,4,2,6,4,30,4,8,6,6,
18,6,4,2,2,6,2,80,18,8,8,6,4,6,20,12,12,6,10,6,2,2,6,26,6,2,2,2,2,4,6,2,4,6,2,
4,6,8,2,2,2,72,2,6,2,60,6,6,8,4,4,8,8,4,4,4,4,210,18,2,180,24,18,18,18,4,4,12,
4,18,6,18,6,10,6,2,2,6,6,2,12,6,12,4,2,6,2,2,2,2,2,6,2,40,6,12,4,6,6,40,4,6,4,
6,16,6,20,6,18,8,6,8,2,8,2,4,6,2,2,8,2,2,4,2,2,6,2,2,6,4,2,4,2,2,2,2,4,2,6,2,2
,2,2,6,8,6,2,2,2,2,2,2,2,2,2,24,12,4,2,840,210,4,12,6,6,6,4,30,18,4,6,6,6,4,6,
6,26,6,24,2,6,20,6,4,2,6,18,2,6,2,8,2,6,2,2,2,2,2,6,2,2,4,2,2,6,2,2,2,2,6,2,2,
2,8,4,2,8,4,2,2,2,4,6,8,8,6,6,2,4,2,2,2,4,2,2,4,2,2,6,8,2,2,2,2,2,2,2,2,2,2,2,
2,24,18,4,4,30,18,36,18,12,2,2,2,2,40,6,4,4,6,6,4,6,4,6,4,2,2,4,2,2,2,8,6,2,2,
4,2,2,2,2,2,2,2,2,30,2,2,60,24,2,4,2,2,6,6,6,2,2,4,12,6,6,6,4,12,2,6,4,2,2,2,2
,2,8,2,4,4,6,2,8,6,2,2,2,2,4,2,2,2,2,2,2,2,4,2,2,2,6,210,4,6,4,6,4,6,2,2,2,4,2
,2,6,2,2,2,2,2,6,2,4,2,2,2,2,2,6,2,12,6,18,2,4,2,2,2,2,2,24,2,6,6,4,2,2,2,2,2,
2,4,30,2,2,2,6,6,6,2,2,6,2,2,2,2,2],[51480,2736,360,6300,216,36,18,2736,212,
120,120,120,16,60,20,212,60,8,840,840,212,108,20,6,12,120,36,18,24,30,120,120,
8,20,20,212,60,20,20,8,20,8,4,8,20,20,8,210,6,12,18,6,840,36,36,2520,212,30,18
,2,6,8,2,4,2,120,18,2,24,12,6,8,12,2,12,30,8,36,36,18,10,20,20,6,6,4,30,10,4,6
,4,6,2,8,6,6,120,20,4,8,4,8,4,4,20,20,20,8,4,20,8,4,4,20,4,4,4,210,18,4,6,2,2,
2,6,2,8,18,6,30,18,4,36,2,36,36,2,2,2,30,6,6,210,212,30,54,20,6,4,2,6,2,4,2,2,
30,4,4,6,6,10,2,4,2,6,6,4,4,60,20,2,6,12,2,12,2,36,4,4,20,2,6,6,6,4,2,6,2,2,8,
2,4,2,4,4,2,4,4,6,4,6,2,2,6,6,2,2,6,2,2,8,4,4,20,4,4,4,4,4,210,18,2,30,18,6,6,
6,2,6,8,2,2,2,2,4,2,18,6,2,18,18,2,2,6,2,2,6,2,2,2,36,2,4,4,6,6,2,2,2,2,2,6,2,
60,20,2,2,6,2,4,2,4,2,12,2,4,4,18,20,20,18,2,6,2,6,4,4,2,2,2,6,2,2,2,4,4,2,2,2
,4,6,2,4,2,4,2,2,2,2,4,2,6,6,6,6,2,2,4,2,2,2,2,2,2,2,2,2,2,6,2,2,2,840,210,2,2
,6,2,6,4,30,6,2,6,2,2,2,2,4,2,2,2,18,2,2,2,6,8,6,2,2,4,2,18,18,2,2,2,6,2,2,6,2
,2,2,2,2,2,2,2,2,4,2,6,2,2,2,2,6,2,2,2,2,4,2,2,4,2,4,4,2,2,2,20,18,2,4,2,6,2,4
,2,2,4,2,4,2,2,6,2,2,2,4,2,2,2,2,2,2,2,2,2,2,6,6,2,2,2,30,18,36,18,2,2,2,2,2,2
,4,2,2,2,18,2,6,2,2,2,2,2,4,2,2,2,2,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,2,30,2,2,6,6
,4,2,2,2,2,6,2,2,2,2,2,36,18,2,2,4,4,6,6,2,2,2,2,2,2,4,2,2,2,2,2,6,2,2,2,2,4,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,6,210,2,2,2,6,2,2,2,2,2,4,2,6,2,2,2,2,2,2,6,2,4,2,2
,2,2,6,2,2,2,2,18,2,2,2,2,2,2,2,6,2,18,2,2,2,2,2,2,2,2,2,30,2,2,2,2,6,6,2,6,2,
2,2,2,2,2],[51480,4104,40,248,6300,216,36,18,2520,968,80,248,40,40,8,8,80,20,
420,20,840,1260,210,20,30,56,2,6,240,20,32,18,12,4,2,4,30,80,248,8,8,8,8,8,40,
40,40,80,20,420,80,20,20,20,8,8,8,80,20,8,8,210,6,12,18,6,840,8,24,8,24,2520,
212,30,18,2,6,8,2,4,2,30,18,56,6,20,8,20,2,2,8,2,4,2,240,20,20,20,30,56,6,2,2,
6,6,20,20,2,2,2,2,6,2,2,30,2,2,6,6,2,2,6,2,2,6,80,20,40,40,8,8,8,80,20,20,20,8
,8,8,8,8,8,8,8,20,8,8,210,6,30,30,2,2,2,6,2,6,2,2,2,6,6,2,4,120,8,8,8,8,8,8,24
,8,30,6,6,420,210,30,30,20,6,2,2,30,2,2,2,2,6,2,2,2,2,80,32,8,4,8,2,2,2,2,2,4,
4,20,2,20,2,2,4,6,2,2,2,2,2,2,2,56,20,20,20,20,20,2,2,2,2,20,20,2,2,2,6,6,2,2,
2,6,2,2,2,2,2,2,2,2,6,2,6,2,2,2,2,2,2,2,2,2,6,2,2,2,6,2,2,40,8,8,20,8,8,8,8,8,
210,6,30,18,6,6,6,2,6,8,2,2,2,30,30,2,2,2,2,6,6,6,2,2,6,2,6,6,2,2,6,2,2,2,2,2,
6,2,8,8,8,8,8,24,8,8,8,6,2,2,2,2,2,20,2,2,8,4,4,8,2,2,2,4,2,20,2,80,30,8,8,2,2
,2,2,2,20,6,6,6,2,2,20,20,20,20,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,840,210,2,6,2,2,6,8,30
,2,30,2,2,2,6,2,6,2,6,2,6,2,6,2,6,2,2,2,2,2,2,2,2,2,2,6,2,6,6,2,2,2,2,2,2,2,4,
2,2,6,2,2,2,2,2,2,2,8,8,8,8,2,2,2,2,2,8,2,4,20,2,20,8,8,6,2,2,2,2,2,2,4,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,2,2,2,120,30,8,2,8,24,6,2,2,2,2,2,2,4,2,
2,2,2,2,2,2,6,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,30,2,2
,2,6,6,8,2,2,2,2,6,2,2,2,2,2,8,8,2,24,8,8,6,8,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,210,6,2,2,2,2,2,2,2,2,8,8,8,8,2,2,6,2,2,2,2,2,2,30
,2,2,2,6,2,2,2,2,2,8,6,2,6,2,2,2,2,2,2,2,2,30,2,2,2,6,2,2,6,2,2,2,2,2,2,2,2],[
51480,3096,120,184,7020,630,72,2592,420,40,64,88,24,56,32,16,36,12,8,280,24,
840,980,210,60,10,48,6,6,264,52,10,42,6,4,30,64,40,32,8,16,16,8,40,24,8,24,12,
8,8,8,8,12,280,20,24,8,8,12,12,4,8,4,20,4,8,8,12,4,630,72,72,840,24,16,24,16,
2592,210,180,24,40,18,6,4,180,54,18,4,18,12,28,6,16,2,2,90,36,24,12,10,20,16,
12,8,18,6,4,2,2,2,6,2,2,6,6,6,30,2,6,34,4,2,6,2,60,40,12,8,16,8,8,8,8,8,20,8,8
,8,4,4,4,4,4,4,4,4,8,12,4,4,4,4,4,8,4,4,4,210,6,10,80,6,12,24,8,4,4,42,4,60,12
,12,8,4,24,8,8,12,16,4,4,30,6,6,280,210,30,10,24,6,6,2,30,6,2,2,2,2,2,2,2,2,64
,10,32,6,6,16,4,8,2,2,16,16,6,4,6,2,16,12,6,8,8,8,6,6,6,18,6,12,6,4,4,4,4,2,6,
2,2,2,2,6,6,6,34,6,2,2,4,8,2,6,2,2,2,2,2,6,2,2,2,2,2,8,2,2,72,2,2,2,60,4,4,8,8
,4,8,4,4,4,4,4,4,4,210,6,180,24,18,18,18,4,10,10,6,2,6,2,2,2,18,12,6,6,18,2,4,
2,8,4,6,4,4,12,4,4,4,4,8,4,12,4,4,4,4,2,6,2,2,2,40,6,12,4,6,16,2,8,2,40,4,6,4,
6,20,10,12,4,6,2,2,2,8,6,6,8,2,2,4,2,2,6,6,4,4,4,8,6,6,6,2,2,8,2,6,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,2,2,2,2,2,2,2,2,24,8,4,2,840,210,
12,12,4,6,4,30,2,10,6,2,2,2,6,34,6,24,4,4,6,16,12,2,2,6,4,4,6,6,2,2,2,2,2,2,16
,4,2,6,2,2,4,6,4,2,2,4,4,4,4,4,2,2,2,2,2,8,8,2,4,6,6,8,4,2,2,2,2,2,4,4,2,8,2,4
,2,2,2,2,2,8,2,4,2,2,2,2,2,2,2,2,24,18,4,4,60,10,12,6,24,16,6,12,4,4,4,2,40,6,
4,4,6,4,6,2,6,2,2,2,4,2,2,2,2,2,2,8,2,2,4,2,2,2,8,4,6,2,2,2,4,30,2,2,2,60,24,4
,2,4,2,6,6,4,4,2,4,12,6,8,4,4,12,4,4,4,4,2,2,4,4,2,8,2,2,8,6,2,2,2,4,6,2,4,2,2
,2,2,2,2,2,2,2,2,2,210,12,4,4,4,6,2,2,2,4,4,4,4,4,2,4,6,2,2,4,2,2,2,10,6,12,6,
6,4,4,2,2,2,4,24,6,2,2,4,4,2,2,2,4,30,2,4,6,2,6,2,6,2,2,2,2,2,2,2,2],[51480,
5616,360,7020,630,72,2592,1596,40,160,360,60,24,672,24,40,840,2016,630,60,96,
24,18,540,12,60,18,30,160,360,40,60,24,672,160,24,24,24,40,12,12,40,160,12,24,
630,72,72,840,36,36,2592,210,180,24,40,18,6,4,180,96,18,4,12,4,6,540,60,96,48,
6,6,12,12,18,18,4,180,6,4,48,4,6,12,2,60,40,60,24,40,40,12,12,12,40,160,12,12,
12,12,24,24,24,12,24,12,12,630,24,18,60,180,24,24,72,18,210,12,6,12,6,12,36,6,
2,2,30,6,6,672,210,180,60,24,40,6,24,6,6,4,180,48,6,6,4,4,4,4,4,160,60,6,4,12,
4,4,48,96,18,12,12,4,4,6,48,6,4,4,48,6,4,48,6,4,4,4,4,4,4,72,2,2,2,60,6,6,40,
12,12,12,24,12,12,12,12,210,6,180,24,18,18,18,4,180,60,6,24,18,18,18,18,6,18,6
,18,12,6,12,36,2,6,2,2,2,2,2,12,6,2,40,6,24,4,6,40,4,6,4,160,60,24,6,6,6,6,12,
4,4,40,6,12,4,12,6,48,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,72,24,2,840,
210,60,12,6,6,6,12,180,24,6,4,60,6,18,48,24,6,6,18,4,48,24,18,6,6,18,6,18,6,4,
18,6,18,6,12,2,2,6,2,2,2,2,2,2,2,2,40,6,40,12,6,6,6,12,24,6,4,6,12,4,12,6,4,6,
12,4,4,4,4,4,4,4,72,24,24,18,210,60,6,36,6,12,2,2,6,6,40,6,4,4,6,4,48,24,6,4,4
,6,6,6,6,18,6,4,4,4,4,4,4,2,30,2,2,60,24,12,6,4,24,18,6,18,12,6,6,12,6,36,6,2,
6,12,2,2,2,2,40,6,4,12,6,6,4,4,6,4,4,4,4,4,4,2,210,60,24,6,6,4,18,6,6,12,6,2,2
,6,2,2,2,2,6,2,12,6,4,2,60,12,6,6,6,4,6,4,2,24,6,12,6,6,6,2,2,4,2,24,30,6,2,6,
12,2,6,6,2,2,2,6,2,2,2],[51480,2592,240,168,6300,216,36,18,2520,212,24,40,16,
48,56,8,36,8,8,252,36,40,840,840,210,120,6,48,18,6,6,12,6,60,60,18,12,12,30,20
,48,4,4,12,8,8,8,4,4,210,2,30,10,6,14,18,6,2,4,8,6,40,20,4,8,12,12,4,210,6,12,
18,6,840,48,12,48,12,2520,212,30,18,2,6,8,2,4,2,30,18,2,6,18,8,4,8,6,2,30,48,
12,8,12,2,18,6,6,18,6,4,8,2,6,12,6,4,6,6,2,60,12,4,12,12,4,6,6,12,2,6,2,4,2,4,
20,8,2,4,4,4,2,4,2,8,4,4,2,4,2,2,6,2,12,4,4,2,2,4,6,6,2,2,12,6,2,210,6,6,12,6,
12,12,6,6,6,6,6,6,6,6,30,12,18,2,4,48,12,4,4,2,2,2,30,6,6,210,210,30,2,30,6,14
,2,6,2,2,2,8,4,30,18,2,2,4,2,6,2,6,2,8,2,4,20,48,12,8,2,2,2,2,4,12,2,4,4,2,12,
4,4,4,2,6,6,2,2,2,6,2,2,12,4,6,2,2,4,2,12,12,2,6,6,2,12,4,6,2,2,4,2,4,2,2,4,2,
2,6,2,2,2,6,6,6,2,4,4,2,2,2,2,2,4,2,2,2,2,6,2,210,6,30,18,6,6,6,2,6,8,2,2,2,12
,12,6,6,2,2,6,6,2,6,6,6,2,6,6,2,2,6,6,6,6,4,2,12,12,4,4,2,2,2,2,2,2,2,12,6,2,2
,2,2,2,4,4,2,2,4,2,2,12,4,12,2,2,6,6,2,2,4,2,4,2,2,2,2,20,8,2,2,2,6,6,2,12,4,2
,2,6,2,2,2,2,2,2,2,2,4,2,2,4,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,4,2,2,2,2,2,2,6,6,6
,2,840,210,6,2,6,6,6,2,30,2,6,2,2,8,12,2,6,2,12,6,6,2,2,6,2,6,2,2,12,6,6,2,2,6
,6,2,6,6,6,6,2,2,2,2,6,6,2,2,6,6,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,4,2,2,2
,2,2,2,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,6,6,6,6,2,30,18,
12,48,12,6,2,2,2,6,6,2,4,2,2,2,2,2,2,12,2,6,6,2,2,2,2,6,2,2,6,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,30,2,2,6,6,2,2,2,2,6,6,2,6,6,2,2,2,4,2,12,6,12,4,2,2,4,2,2,2,2
,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,210,6,6,6,6,2,6,2,2,2,4
,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,12,2,2,6,6,2,2,2,2,2,6,2,2,2,2,6,2,2,2,2,6,30,2
,2,2,12,2,6,2,2,2,2,6,2,2,2],[51480,1584,360,3600,72,36,72,1584,44,120,120,120
,16,36,12,44,36,8,240,240,44,72,12,12,12,120,24,2,120,120,8,12,12,44,36,12,12,
8,12,8,4,8,12,12,8,30,24,12,18,6,240,24,24,1080,44,3,9,8,24,8,6,6,4,3,120,8,24
,8,24,24,8,12,12,4,8,4,8,8,2,12,120,12,4,8,4,8,4,4,12,12,12,8,4,12,8,4,4,12,4,
4,4,30,6,4,6,2,4,8,12,8,6,24,4,24,24,4,4,4,2,2,2,2,2,30,44,1,18,12,1,4,4,3,2,4
,4,2,1,8,4,4,4,60,12,3,24,12,4,4,8,8,4,4,4,4,6,2,2,2,12,4,4,8,4,4,12,4,4,4,4,4
,2,30,6,2,3,6,3,8,18,3,8,2,2,4,4,6,2,6,6,2,2,2,24,4,4,4,4,4,4,2,2,2,60,12,6,3,
3,4,6,6,4,3,4,4,6,12,12,6,1,1,1,4,4,1,6,3,4,4,4,6,2,2,2,240,30,4,3,4,2,2,2,2,2
,4,2,4,1,2,1,2,1,4,2,2,6,2,8,6,8,1,1,6,4,4,3,3,6,6,2,2,2,2,2,2,2,4,2,2,2,2,2,2
,2,4,2,2,1,4,2,4,4,1,1,12,6,2,4,1,1,2,4,1,4,2,1,6,3,4,2,6,3,2,2,2,24,6,4,3,4,1
,4,1,2,2,2,6,4,3,3,6,2,4,2,1,4,1,2,2,2,2,2,1,2,2,2,12,6,2,4,2,1,2,3,2,2,1,2,1,
2,24,6,4,2,4,2,4,1,2,2,2,4,2,1,1,6,3,3,1,2,4,1,2,1,30,4,2,2,2,2,3,2,2,1,2,1,4,
2,1,1,2,2,4,2,1,1,1,1,1,4,3,3,2,6,2,1,2,1,1,1,6,2,2,1,6,2,4,2,1,1,2,1,1,1,1,2,
2,2,1,1,1,3,2,1,2,2,1,1,1,1],[45045,3717,165,341,2835,252,36,441,1113,17,65,
333,45,53,41,17,21,105,21,17,161,33,13,13,35,903,252,55,2,87,6,24,4,6,291,35,2
,24,6,2,7,61,333,17,9,9,13,9,13,9,9,13,9,45,45,45,105,7,9,13,5,9,21,7,161,61,
21,21,25,3,21,9,9,13,3,3,3,3,9,7,5,5,13,5,3,9,9,3,3,3,3,13,61,3,13,5,5,5,9,21,
9,13,9,9,3,3,3,1,1,252,36,36,35,11,7,11,7,441,51,11,12,5,3,51,87,12,11,15,6,27
,3,11,2,2,291,23,15,15,2,87,23,15,7,27,27,7,2,2,2,6,2,2,12,24,7,2,6,51,11,3,2,
15,23,7,2,5,2,11,105,7,21,9,9,3,7,5,45,45,9,9,9,7,5,3,7,11,11,1,9,9,7,3,3,7,7,
5,7,3,5,7,7,9,5,1,1,1,13,61,3,7,7,7,9,13,5,5,3,5,3,3,5,3,5,5,3,3,3,3,5,21,21,
21,9,13,9,9,9,9,9,9,5,5,9,9,9,5,9,5,5,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,7,21,5,9,5,5,5,3,9,9,3,3,3,3,3,7,7,3,3,3,3,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,252,24,4,6,6,2,90,6,6,36,6,2,2,4,4,24,2,15,1,3,5,1,7,3,3,5,11,3
,3,1,7,5,5,7,3,3,1,3,1,161,51,21,11,1,7,1,3,1,2,1,51,3,7,3,3,23,11,7,7,7,3,3,3
,1,7,3,2,2,61,17,1,7,1,3,2,1,1,7,27,7,15,7,3,2,23,3,3,3,3,7,3,3,87,15,15,15,15
,15,7,7,3,3,3,2,12,2,2,2,2,27,27,7,7,6,23,3,7,3,3,2,7,7,3,1,3,3,7,23,3,3,3,7,3
,2,23,15,3,3,3,3,3,7,5,2,3,3,7,3,3,7,7,7,3,3,3,3,1,1,36,5,2,1,2,2,3,2,2,3,2,1,
2,45,7,3,9,5,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,11,9,7,1,1,1,3,3,3,5,5,5,3,7,
3,3,3,9,9,3,7,3,5,5,1,1,1,1,1,1,3,1,1,1,3,1,1,1,1,3,1,1,3,3,3,3,9,5,3,3,3,3,3,
3,7,21,3,3,3,3,3,3,5,9,5,5,5,3,5,3,3,5,3,3,3,9,9,9,9,9,3,7,3,3,3,3,3,3,5,5,1,1
,1,1,1,1,3,5,3,5,3,3,9,3,5,5,5,5,1,1,1,7,7,3,3,3,3,3,3,3,3,7,3,3,3,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,4,2,51,12,12,12,5,90,
2,6,2,6,6,24,2,4,2,2,2,2,6,12,6,24,12,2,6,24,2,2,2,2,6,2,12,2,2,7,3,1,3,1,7,3,
3,3,7,1,5,1,1,3,3,3,3,3,1,7,3,3,5,1,1,1,1,3,3,3,3,1,3,3,1,3,3,1,1,3,3,3,1,1,3,
3,3,1,1,3,1,1,1,1,3,3,3,1,2,11,21,9,3,5,3,9,7,1,1,11,5,3,3,15,5,3,61,9,9,21,7,
1,3,3,1,1,1,1,7,3,1,1,1,3,5,1,11,7,1,7,15,15,15,27,7,1,1,3,3,3,3,3,2,3,1,3,7,5
,1,3,3,3,7,3,3,3,3,3,3,3,23,3,3,3,7,7,7,1,1,3,1,1,1,3,1,3,3,3,2,5,3,7,1,3,1,1,
1,5,5,1,1,1,3,3,1,3,1,1,7,7,3,3,7,5,5,3,3,3,3,3,3,7,1,3,1,1,3,3,3,7,3,3,3,1,5,
5,1,1,1,3,3,1,1,3,3,3,7,3,5,3,1,1,3,3,3,3,7,3,1,1,1,3,1,3,5,7,1,3,3,3,1,3,1,3,
3,1,1,1,1,1,1,1,1,1,1,36,4,6,6,2,35,5,1,1,1,1,1,3,1,3,2,2,2,1,2,1,1,2,1,2,1,1,
2,1,3,1,3,1,1,1,1,3,1,1,1,1,1,1,1,1,1,3,3,1,3,3,3,3,3,3,3,9,5,3,3,3,3,1,9,3,3,
3,3,5,1,1,1,1,5,3,3,3,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,7,3,3,3,3,3,1,
1,1,1,3,3,3,1,1,1,3,3,3,3,5,5,5,3,1,3,1,1,1,1,3,1,3,1,5,3,3,1,1,1,1,5,5,3,1,1,
1,1,3,3,1,1,1,1,1,51,7,2,2,2,1,1,4,2,2,12,6,23,3,2,12,5,1,23,3,2,2,12,2,1,1,2,
2,12,24,2,2,2,6,6,2,2,2,7,2,1,12,2,12,2,2,2,6,2,2,2,2,2,2,2,2,2,7,3,1,3,1,1,1,
1,1,5,1,1,1,3,3,3,3,1,3,3,1,3,3,3,1,3,3,1,1,3,3,1,1,1,1,1,1,1,3,3,3,1,3,1,1,1,
1,3,1,1,1,1,3,3,3,3,3,3,3,3,1,1,1,1,3,3,1,1,1,1,1,1,1,1,1,2,2,2,2,2,1,11,1,3,1
,1,7,1,9,3,5,1,1,1,1,11,7,3,3,7,3,5,1,1,15,1,3,7,21,9,9,3,3,3,5,1,1,1,1,3,1,3,
3,1,3,5,3,3,7,3,1,1,3,1,3,1,5,1,3,1,1,1,3,1,3,7,3,3,1,1,5,3,3,7,3,1,3,5,1,1,3,
3,1,1,3,1,1,3,3,1,1,3,5,1,3,1,1,1,1,3,1,5,1,1,1,1,1,3,7,1,3,1,1,3,1,1,1,3,1,1,
1,1,3,3,3,3,3,3,3,7,3,1,1,1,1,1,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,1,1,3,1,1,1,
1,5,1,1,1,1,1,1,1,5,1,3,1,1,1,1,3,1,1,1,1,1,1,1,36,4,4,12,6,2,6,2,2,2,15,3,11,
7,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,2,1,1,1,1,1,1,1,1,3,1,3,3,3,3,1,3,1,
1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,5,3,3,1,1,1,1,1,3,1,1,1,1,1,3,
1,3,3,1,1,11,5,5,3,5,3,23,3,3,3,7,1,1,1,1,1,2,2,5,6,2,2,2,2,12,2,2,2,7,1,3,1,5
,5,3,7,5,1,3,1,7,2,1,1,1,2,2,2,2,2,2,2,2,1,3,3,1,1,1,1,1,1,1,1,3,3,1,1,1,1,3,1
,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,1,3,1,1,1,1,3,3,3,1,1,3,1,1,1,1,1,1,1,1,1
,5,2,1,2,2,2,2,2,2,2,3,1,1,1,1,1,1,1,3,3,9,3,1,3,3,1,1,1,3,3,3,3,1,3,3,5,3,3,3
,3,1,3,3,5,7,3,3,3,1,1,3,1,1,3,1,3,1,1,1,1,1,5,3,1,1,5,1,1,3,1,1,3,3,3,5,3,1,3
,1,1,3,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,12,12
,6,2,2,2,2,2,2,2,2,2,1,7,3,3,5,1,5,7,3,3,1,3,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,11,3,1,1,1,1,1,1,
3,1,3,5,7,1,5,3,1,1,3,1,5,1,3,1,1,1,1,1,1,1,3,3,3,7,1,1,5,5,1,5,5,1,1,5,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,2,2,3,1,1,1,1,3,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,
1,3,2,2,3,1,2,2,1,2,1,1,2,1,3,3,1,3,3,3,1,1,3,3,1,1,1,5,1,1,1,3,1,1,1,1,1,1,1,
1,1,1,3,3,1,3,1,1,1,1,1,1,3,5,12,2,2,2,2,2,2,2,7,3,1,3,1,1,5,1,1,3,1,3,3,1,3,1
,3,3,3,1,1,1,1,1,1,1,1,3,1,1,3,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,2,1,1,1,1,1,1,3,3,7,3,1,1,1,3,3,3,1,3,1,1,1,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1
,5,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,2,1,1,1,1,1,1,1,2,3,1,1,3,1,1,1,1
,1,5,1,1,1,1,5,1,2,2,1,3,1,1,1,3,1,1,3,1,3,1,1,1,1,1,1,3,3,1,1,1,3,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,1,3,1,1,1,1,1,1,1,1,3,3,1,1,1,3,3,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,5,1,1,1,1,1,1,1,1,1,3,1
,1,1,1,1,1,3,1,3,1,1,1,1,1,1,1,1,1,2,1,2,2,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[38610,3834,90,210,7560,630,3834
,630,90,90,90,18,42,42,18,18,54,18,18,630,54,30,6,1680,1680,630,30,72,18,18,
216,72,30,18,18,180,30,90,30,42,6,18,18,6,90,18,18,18,18,18,6,18,18,6,18,18,18
,18,18,6,630,30,54,18,18,30,18,18,6,30,6,6,6,6,18,6,6,6,6,6,6,30,6,6,6,30,30,
30,6,6,6,6,18,18,18,6,6,6,6,6,6,630,1680,24,24,3780,630,180,30,216,18,24,24,24
,6,6,180,30,24,24,36,12,6,6,6,18,6,6,18,18,12,180,12,12,30,90,6,18,18,18,18,18
,18,6,18,6,6,18,18,18,6,30,30,30,6,6,6,6,6,6,6,6,6,6,30,30,30,18,18,18,6,6,6,6
,6,6,6,6,6,6,6,6,6,18,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6
,6,6,6,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,630,18,30,30,
18,18,18,180,36,24,24,24,180,630,630,180,30,54,30,30,18,18,12,6,6,180,12,12,12
,12,60,30,36,30,18,18,12,6,6,24,24,6,24,6,18,6,6,6,6,12,12,12,30,12,12,12,30,6
,6,6,18,6,18,18,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,30,30,6,6,6,6,6,6,6,6,6,6,6,6
,6,6,6,6,6,30,30,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,630,18,180,30,30,18,6,18,6,6,6,18,18,
18,6,6,6,6,24,12,12,12,60,18,12,6,12,12,6,12,6,6,6,30,24,30,30,18,6,18,6,6,6,
18,18,18,18,30,6,6,6,6,6,6,6,6,12,6,6,6,6,12,30,6,12,6,12,12,12,12,12,6,30,
1680,630,30,6,6,6,6,18,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,180,12,30,18,6,6,6,18,18,18,6,6,6,6,6,6,12,6,6
,12,12,30,30,6,6,30,6,12,6,12,30,6,30,6,6,6,6,18,18,6,6,6,6,6,6,6,6,12,6,6,6,6
,6,6,6,12,6,6,6,6,180,30,36,18,24,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,30,18,12,6,6,
6,6,6,6,12,12,180,30,30,30,30,6,12,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,24,18,12,12,6,6,6,6,30,6,30,6,6,12,6,12,6,6,630,30,6,6,6,6,6,6,6,6,6,6,6,6
,6,12,6,30,6,6,6,6,6,6,6,6,6,6,12,6,30,18,18,6,6,6,6,6,6,6,6,6,6,30,18,6,6,6,6
,180,6,6,12,6,12,30,6,6],[38610,4806,30,330,7560,630,3780,1302,30,160,330,30,
30,12,12,90,36,2,840,36,30,2,1680,2016,630,90,96,6,18,432,24,90,18,6,180,30,
160,330,12,12,12,12,12,30,30,30,30,90,2,2,2,2,2,36,840,160,36,36,36,30,12,12,
12,30,2,2,6,6,2,2,2,2,2,30,2,30,160,30,2,2,2,2,6,36,12,12,2,2,6,630,1680,56,56
,3780,630,180,30,180,96,6,24,4,18,6,432,90,96,24,18,18,24,24,6,6,6,6,18,4,6,
180,4,24,24,4,30,30,90,2,36,30,30,12,12,12,2,2,2,30,30,30,6,6,6,2,2,2,2,2,2,2,
2,2,2,30,160,30,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,36,36,36,12,12,12,12,
12,12,12,12,2,2,2,2,2,2,30,2,2,2,2,2,6,36,2,2,2,12,12,2,2,6,6,2,2,6,2,2,6,2,6,
2,630,18,90,90,6,6,18,300,12,12,56,12,180,840,630,180,90,36,30,30,18,6,4,2,2,
180,24,4,4,4,4,160,90,12,30,6,18,4,2,2,24,4,6,24,96,6,6,6,6,24,24,4,4,6,18,30,
24,4,24,4,24,4,4,4,4,30,2,6,6,2,30,2,12,30,2,2,2,30,30,6,6,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,30,30,6,2,2,2,2,2,2,12,2,2,2,6,36,2,2,2,2,2,2,2,2,12,12,12,12,12,2,6,
2,2,2,6,2,2,2,2,2,2,2,6,6,2,2,2,2,2,2,6,2,2,2,6,2,2,2,6,2,2,2,2,2,630,18,180,
90,90,6,6,6,6,18,18,6,18,6,18,18,6,6,12,56,12,24,4,30,36,12,6,6,18,2,2,30,160,
90,12,12,6,6,6,6,6,36,18,18,18,6,30,2,2,2,2,2,2,4,30,2,24,4,6,6,24,4,4,4,4,4,4
,4,4,6,2,30,1680,630,30,2,6,6,2,2,2,2,30,6,2,2,2,2,2,2,2,2,12,2,2,2,2,2,6,2,2,
6,6,2,2,6,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,180,4,90,6,6,6,18,6,24,24,18,6,18,18
,6,6,6,6,4,6,6,12,4,30,30,2,2,30,12,2,6,30,2,30,6,2,2,2,2,6,36,12,12,18,6,6,6,
6,6,2,2,2,2,2,6,2,6,2,6,2,2,4,2,2,300,90,12,6,56,18,6,2,2,2,2,2,2,6,2,2,2,2,2,
2,2,2,30,6,24,4,6,6,18,6,6,6,4,4,4,180,30,30,30,30,2,30,2,2,2,12,2,6,2,2,6,6,2
,2,2,6,2,2,2,2,2,2,2,12,6,56,18,12,6,2,2,30,2,30,2,2,6,6,4,6,4,2,2,630,30,2,6,
6,2,6,2,2,2,2,2,2,12,6,30,2,2,6,2,6,2,2,2,2,90,6,18,6,2,2,2,2,2,6,2,2,2,2,30,6
,18,6,2,2,180,2,6,24,4,4,30,6,2,2],[38610,3798,30,90,7560,630,3780,630,30,40,
50,6,14,12,4,18,2,644,24,50,6,1680,1680,630,30,24,6,6,192,24,30,6,6,180,30,40,
30,12,4,4,30,6,2,6,6,2,2,2,2,2,630,30,18,6,6,30,6,6,2,30,2,2,2,2,2,30,2,50,40,
30,6,6,6,2,6,12,8,4,4,4,2,2,2,630,1680,8,8,3780,630,180,30,180,8,4,2,180,30,8,
12,4,2,6,2,2,6,192,6,8,2,8,8,2,6,4,30,30,2,2,4,2,2,2,30,40,30,6,2,4,4,2,4,2,2,
2,2,2,30,30,30,2,2,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,2,30,2,2,2,2,2,6,6,4,4,4,6,2,
2,2,4,2,2,12,6,6,2,4,2,2,2,2,630,6,30,30,6,6,6,180,8,12,8,4,4,180,630,630,180,
30,18,30,30,6,6,4,2,2,180,4,4,4,40,30,12,30,6,6,4,2,2,4,2,4,30,8,2,2,6,4,2,8,4
,2,8,4,2,4,30,2,2,2,30,2,2,2,30,30,2,2,2,2,2,2,2,2,30,30,2,2,2,2,2,2,2,2,4,2,6
,2,4,2,2,2,2,2,4,2,2,2,2,4,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,630,6,2,180,30,30,6,2
,6,2,6,2,2,6,6,2,2,8,4,4,4,30,4,2,2,2,30,30,30,6,2,6,2,2,2,6,6,30,2,2,2,2,2,4,
40,6,4,2,6,6,4,2,4,8,4,4,4,4,2,4,2,30,1680,630,30,2,2,2,2,2,30,2,2,2,2,2,2,2,2
,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,180,4,30,6,2,2,6,2,6,6,2,2,4,2,2,2,2,2,4,4,30
,30,2,2,30,2,30,2,30,2,2,2,2,2,2,2,4,2,2,6,6,2,2,2,2,4,2,2,4,2,2,180,30,12,6,8
,6,2,2,2,2,2,2,2,2,2,2,30,6,2,2,2,4,4,4,2,2,2,180,30,30,30,30,2,30,2,2,2,2,2,2
,4,2,2,2,2,2,2,2,2,8,6,4,2,4,2,2,2,30,2,30,2,2,4,2,4,2,2,630,30,2,2,2,2,2,2,2,
4,2,30,2,2,2,2,2,2,2,30,6,6,2,2,2,2,2,2,2,30,2,6,2,2,2,180,2,2,4,4,30,2,2],[
38610,1026,210,194,1350,126,108,1026,42,70,66,66,18,50,50,18,30,18,6,22,42,18,
6,6,30,30,42,70,6,18,18,6,12,6,90,14,2,18,6,2,12,8,66,2,50,2,18,18,2,66,18,18,
22,18,6,2,18,6,8,22,18,18,18,6,8,42,2,18,6,6,6,6,6,2,4,6,6,6,6,6,4,4,4,2,4,4,2
,2,2,2,2,2,4,2,2,6,2,6,6,6,2,6,2,4,4,4,36,30,14,6,14,6,270,42,18,12,4,36,6,16,
12,90,12,18,10,6,6,2,2,14,18,6,2,6,6,18,6,4,10,6,2,6,6,2,2,6,6,2,4,6,12,6,4,6,
66,8,6,22,18,18,18,18,2,18,2,2,18,18,18,8,2,2,4,2,2,2,2,2,2,2,4,4,4,2,2,4,6,6,
6,2,2,2,2,2,2,2,2,2,4,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,4,4,4,2,4,6,4,4,4,4,6,4,4,
4,4,6,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,2,2,2,2,2,2,4,4,4,2,2,12,2,12,
6,6,4,2,6,10,6,2,6,14,6,6,6,6,6,6,10,2,6,2,6,2,12,6,6,42,6,2,2,4,6,6,2,4,4,2,2
,4,2,2,4,2,4,2,4,4,6,30,2,14,2,6,6,6,2,2,4,2,2,2,2,8,2,6,6,2,6,18,6,6,6,4,6,2,
8,10,6,6,6,2,6,6,2,2,2,2,2,2,2,2,12,6,2,4,4,6,2,2,4,4,6,4,2,2,2,4,2,2,2,4,2,4,
6,2,6,2,6,2,2,8,18,2,18,18,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,4,4,4,2,2,2,2,2
,2,2,2,2,2,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,6,6,4,4,4,4,4,2,2,2,4,2,2,2,2
,2,2,2,2,2,4,2,2,2,2,2,2,2,4,4,4,2,2,2,2,2,2,2,12,18,9,4,6,4,2,2,2,2,2,8,2,6,6
,6,10,6,6,6,8,6,6,6,6,6,2,2,2,2,2,2,4,2,2,4,6,2,2,4,6,2,2,2,4,2,6,2,2,4,2,2,2,
2,4,4,6,4,2,30,6,6,10,4,6,6,2,6,2,2,2,3,15,6,10,9,6,2,6,2,2,2,6,6,2,2,2,2,2,2,
4,2,2,2,2,2,2,4,2,2,8,2,6,6,6,6,2,2,6,6,4,2,2,6,4,4,2,2,4,2,2,4,2,2,4,4,2,2,2,
2,4,2,2,4,2,2,4,2,2,4,2,2,2,4,2,2,2,2,2,2,2,1,30,2,3,4,6,2,2,2,2,2,2,6,18,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,4,2,2,2,2,2,4,4,4,4,2,2,2,2,2,2,2,
2,2,2,4,2,1,4,2,12,2,3,2,4,4,6,6,2,3,4,2,2,2,2,2,2,8,2,6,6,6,6,6,2,2,2,4,2,2,4
,2,4,2,2,2,2,2,4,4,2,2,4,2,2,4,2,2,2,2,4,2,2,2,2,2,6,4,4,2,2,2,2,2,4,4,4,4,3,1
,3,1,3,1,2,2,2,2,2,2,8,2,2,6,2,6,1,1,1,1,6,6,2,2,2,2,2,2,4,2,2,2,2,2,2,3,2,2,2
,2,4,2,4,2,4,2,6,6,2,4,2,2,2,2,4,2,2,2,2,4,2,2,4,2,2,2,2,4,2,2,2,2,2,2,2,2,2,1
,14,6,2,2,3,2,4,2,2,2,2,2,4,1,2,2,4,2,1,2,2,2,2,4,2,2,2,2,2,2,2,2,2,6,6,4,4,2,
2,2,2,2,2,4,1,3,2,2,2,2,2,2,2,2,6,2,4,2,4,2,2,2,2,2,4,2,2,4,2,2,4,2,2,2,2,4,2,
2,2,2,2,2,2,6,2,1,1,1,6,2,2,2,6,1,1,1,1,1,1,1,9,3,2,2,2,3,3,1,1,2,2,2,4,2,2,2,
4,2,4,2,2,2,2,2,2,2,2,1,1,2,1,6,10,6,2,6,3,6,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,1,2
,4,2,1,2,2,6,2,2,2,4,3,1,3,1,3,2,2,2,1,1,2,2,4,2,2,2,2,2,2,2,2,2,2,2,1,1,6,2,2
,3,1,2,2,4,2,2,2,1,2,2,2,2,1,1,1,1,1,2,8,2,6,6,2,2,2,4,3,1,3,1,3,2,6,2,2,4,1,2
,2,1,3,2,1,1,3,3,1,2,2,2,2,2,1,1,1,1,1,2,2,2,1,1,1,1,2,3,4,2,2,1,2,2,1,1,6,2,2
,4,2,2,4,3,1,2,2,2,2,1,1,1,1,1,2,1,1,3,1,2,2,1,1,2,1,2,2,2,2,2,4,1,2,2,1,1,2,4
,2,2,2,2,1,2,2,1,2,1,1,3,2,2,1,2,1,1,3,1,2,1,1,1,2,1,1,2,1,1,1,1],[36036,3192,
96,300,2646,252,18,504,966,20,60,300,32,90,18,8,182,26,20,8,56,1,840,252,16,84
,12,24,4,6,258,30,6,24,12,60,300,20,90,4,8,18,182,60,18,18,18,8,20,4,4,6,6,8,4
,4,20,60,8,10,18,4,4,2,252,18,18,56,12,1,1,12,1,504,66,20,6,2,66,84,6,2,12,30,
6,2,258,84,20,8,30,30,4,2,2,12,6,24,6,2,6,12,66,2,6,4,2,8,20,2,2,2,2,11,2,1,20
,90,18,20,20,10,6,6,4,4,20,60,6,6,6,6,8,4,18,18,18,4,4,4,4,6,18,6,6,2,2,2,252,
24,4,6,6,72,12,12,18,6,6,4,4,24,6,6,26,4,6,1,1,4,6,4,12,6,1,2,2,182,66,18,20,6
,4,2,2,66,20,6,6,6,6,2,2,4,2,2,2,2,60,6,4,30,6,2,20,84,2,4,6,2,30,30,6,6,12,20
,2,6,2,2,20,2,6,2,2,20,8,2,2,4,6,2,2,2,4,6,2,2,2,6,4,2,2,1,18,11,2,3,1,5,1,2,5
,2,1,3,4,20,6,6,4,4,2,4,4,4,6,18,6,2,6,6,6,2,2,4,2,66,6,6,6,2,72,12,12,12,24,4
,2,2,6,2,6,6,12,24,6,2,12,6,6,24,6,6,2,2,2,2,12,2,2,2,6,2,2,2,4,6,4,12,2,6,1,2
,2,2,2,2,2,20,18,2,20,2,2,60,18,6,4,6,2,20,30,6,6,20,2,2,6,6,6,2,2,2,2,2,2,4,6
,6,2,2,2,2,2,6,4,2,2,6,2,4,6,4,2,2,2,2,2,2,2,1,1,1,6,18,6,4,6,6,56,1,11,3,2,1,
4,1,1,5,2,1,1,5,3,2,1,1,3,3,3,1,1,4,2,2,2,2,6,2,66,6,2,2,2,2,4,2,2,6,12,20,2,6
,2,20,6,2,2,2,2,6,2,24,2,2,12,12,2,6,2,6,6,2,2,2,2,2,6,2,2,2,12,2,2,2,2,2,2,2,
2,2,2,2,2,1,4,2,2,6,2,2,2,2,2,2,2,2,20,4,2,4,20,6,6,18,2,6,2,2,6,2,6,2,2,2,4,2
,2,2,6,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,18,4,6,2,4,6,6,6,2,6,2,6,6,6,6,2,26,6,1,1
,12,1,4,1,1,2,1,2,1,5,3,2,1,1,3,1,1,3,1,1,1,1,3,2,20,2,2,2,20,6,2,2,2,2,12,2,2
,2,6,2,2,2,2,6,2,2,6,2,6,2,2,2,2,2,2,2,2,2,1,1,1,2,11,2,1,1,2,2,2,2,2,2,2,2,4,
6,2,2,2,2,2,2,2,1,1,1,1,1,1,1,4,2,6,2,6,6,6,6,2,2,2,2,6,2,2,6,2,2,2,4,6,4,12,2
,6,1,4,2,1,2,1,2,1,1,3,1,1,1,20,4,2,2,6,2,2,2,6,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
1,11,3,2,1,5,2,1,5,2,1,3,1,2,1,1,2,2,2,2,2,1,1,1,2,6,6,2,2,2,2,2,2,2,2,2,2,4,2
,2,6,2,2,2,2,1,2,4,6,2,2,2,1,1,1,1,1,1,1,1,1,1,4,1,1,5,3,2,1,1,3,1,3,1,3,1,1,1
,2,1,2,2,2,2,2,1,2,2,2,2,2,2,2,1,1,1,1,1,1,4,1,2,2,1,3,1,1,1,1,1,1,2,2,2,1,1,1
,1,2,2,2,2,2,1,1,2,1,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[
36036,3948,60,404,3780,441,18,1008,1260,60,112,404,60,60,16,16,140,36,4,364,36
,60,4,196,6,1260,441,20,11,120,3,6,33,2,6,384,44,11,6,33,3,2,112,404,16,16,16,
16,16,60,60,60,60,140,4,4,4,4,36,364,112,36,36,36,16,16,16,60,12,12,4,4,4,4,4,
60,112,4,4,4,4,12,36,16,16,441,18,18,196,4,28,6,4,28,1008,21,150,6,60,3,3,150,
120,3,20,15,44,6,10,5,2,3,1,384,20,20,20,11,120,34,6,6,5,5,44,44,1,1,3,3,3,3,3
,33,10,2,2,6,15,2,150,3,10,1,6,34,1,3,40,1,60,140,36,60,60,16,16,16,4,4,4,60,
60,12,12,12,4,4,4,4,4,4,4,4,60,112,12,12,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4
,36,36,36,16,16,16,16,16,16,16,16,12,36,4,4,4,16,16,12,12,4,4,441,6,33,2,6,6,
11,111,3,15,6,6,18,6,2,2,6,2,2,33,6,6,2,82,18,10,2,6,18,4,10,2,4,4,4,18,28,2,2
,10,4,4,364,21,150,11,36,60,5,3,6,3,3,10,2,4,2,1,1,150,6,6,6,6,34,3,3,10,10,10
,10,1,1,1,1,1,1,112,11,16,3,5,2,10,2,4,1,1,44,10,20,6,1,3,34,6,6,6,6,6,6,6,120
,20,20,20,20,20,3,3,3,3,3,1,1,1,1,44,44,10,10,15,5,2,34,6,6,6,1,3,10,1,1,6,6,6
,34,1,1,3,10,1,34,6,6,6,1,1,3,10,1,10,6,1,10,6,1,6,18,40,1,4,1,1,10,1,1,10,1,4
,1,60,4,16,60,12,12,4,4,4,4,4,4,4,4,4,4,4,16,4,4,4,12,36,4,4,4,4,4,4,4,4,16,16
,16,16,16,12,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,4,12,4,4,4,21,5,1,150,6,3,3,3,111
,11,3,3,15,15,5,6,33,2,2,2,2,2,2,2,2,2,1,1,6,6,3,15,2,33,3,2,2,15,6,6,2,5,33,2
,2,2,2,2,2,6,6,3,1,1,15,2,2,3,3,1,1,4,2,18,2,2,2,2,4,4,4,10,18,28,4,4,2,2,2,2,
4,10,2,2,2,4,4,2,2,4,2,2,4,4,1,60,3,36,6,16,3,3,5,4,2,1,60,3,20,6,112,11,16,16
,3,3,3,3,3,36,3,5,5,5,12,1,1,1,1,4,4,2,2,2,10,6,2,60,3,4,1,20,20,20,44,10,6,6,
6,6,1,3,6,12,3,1,6,6,6,6,6,6,6,6,6,6,6,34,3,1,1,1,1,1,1,10,10,10,1,6,10,10,6,6
,6,6,6,6,1,1,6,6,6,10,1,6,6,6,10,1,6,6,6,10,1,6,6,6,18,6,6,2,6,6,2,196,21,6,1,
40,1,4,1,18,1,10,1,1,10,1,1,1,4,1,4,1,4,1,4,1,4,16,4,4,4,4,12,4,4,4,4,4,4,4,4,
150,6,3,10,2,2,1,1,1,11,3,3,3,5,1,1,1,3,15,2,34,6,6,2,1,3,3,2,3,34,6,6,2,1,1,3
,2,1,3,5,1,3,3,3,33,5,2,2,2,2,2,2,2,1,1,15,15,3,3,1,1,6,2,10,2,2,1,3,3,1,1,3,3
,1,1,1,1,15,3,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,4,2,18,2,2,2,2,4,2,2,2,2,2,4,10,4,
4,2,2,2,2,2,2,4,4,4,2,2,1,1,1,1,1,1,1,60,4,3,1,16,4,1,3,60,12,3,3,4,4,4,4,1,1,
1,1,1,1,20,6,3,12,36,16,16,1,1,1,1,5,3,3,3,3,3,4,4,6,2,4,1,4,1,3,12,4,1,1,1,6,
6,6,12,3,1,1,1,4,6,6,3,12,1,1,1,4,4,1,6,6,6,6,6,6,6,10,1,6,6,6,2,2,18,6,2,2,6,
6,2,3,6,6,2,6,2,6,6,2,2,6,2,2,2,2,6,2,82,11,10,3,6,1,4,28,5,18,2,1,1,2,1,1,4,1
,4,1,1,10,1,1,4,1,1,4,1,4,1,4,1,4,60,3,3,3,6,2,34,6,6,6,6,2,2,2,2,2,2,1,1,1,3,
10,2,2,2,1,1,15,3,1,1,2,3,3,3,1,1,1,1,3,3,1,1,5,1,1,1,1,1,3,3,3,10,2,2,2,6,2,1
,6,2,2,2,10,2,1,6,2,2,2,10,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,2,2,2,2,2,2
,2,2,2,4,40,6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,16,4,3,1,4,1,4,1,4,1,12,3,1,1,
1,1,1,1,1,4,4,4,6,4,1,4,4,1,1,6,2,6,2,2,2,6,2,3,3,3,6,2,2,2,6,1,2,1,6,2,2,6,2,
2,2,2,2,2,2,2,1,1,2,2,18,3,4,10,2,3,18,2,3,28,4,4,5,4,10,2,3,1,18,2,1,1,4,1,2,
1,2,1,2,1,1,1,1,2,4,1,4,1,1,4,1,60,4,3,1,4,1,6,2,12,3,3,1,1,6,2,6,2,1,3,3,1,2,
2,2,2,2,2,2,6,6,6,10,2,1,1,1,1,1,1,1,1,1,1,1,1,6,1,2,21,40,6,1,2,4,1,10,1,2,1,
10,1,2,1,2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,1,2,3,3,3,6,2,1,1,2,2,1,1,2,2,2
,1,1,1,1,2,2,2,2,4,2,18,2,2,2,2,3,4,1,2,4,4,4,10,2,2,3,1,2,4,1,2,4,2,1,2,1,4,2
,1,2,1,2,1,1,1,1,2,4,1,1,12,3,4,1,1,1,4,1,6,2,4,1,1,1,6,1,2,1,1,2,11,3,18,3,1,
5,10,1,1,4,2,2,1,1,2,4,1,4,2,1,2,4,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,2,4,2,2,2,2,2
,2,2,2,2,4,1,2,1,6,1,1,1,1,1,1,1,4,1,6,1,2,1,2,1,3,3,18,2,3,1,1,5,1,3,3,2,1,1,
4,1,1,4,1,1,1,1,4,2,1,1,1,1,2,6,2,2,1,2,1,1,1,2,1,1,1,1,1,1,1,1,2,1,3,3,1,2,1,
2,1,2,1,4,1,1,1,2,1,1,1,1,1,6,1,1,1,1,3,2,2,2,1,2,2,1,1,1,1,1,1,2,1,1,6,1,2,1,
1,1,1,1,3,1,1,2,1,2,1,1,1,1,1,1,1,1],[34320,3840,400,4440,282,12,30,1680,1232,
120,400,120,36,420,36,560,1248,282,40,128,8,42,18,12,384,40,40,6,42,4,20,120,
400,120,36,420,120,36,36,36,120,36,282,30,30,12,12,12,12,12,560,40,40,1680,140
,60,6,8,6,2,60,6,128,6,14,40,12,12,384,40,128,24,12,12,40,40,6,42,12,6,14,4,60
,12,6,6,24,6,8,4,20,2,120,36,120,36,36,36,36,282,8,42,12,12,12,12,12,18,18,40,
102,14,8,8,30,18,4,4,6,12,2,2,2,2,42,6,6,4,140,12,12,40,12,20,2,2,2,2,420,140,
60,40,36,12,8,12,4,6,2,6,60,24,12,12,12,12,6,6,6,120,40,12,12,4,40,12,24,128,6
,40,40,12,12,14,12,24,6,12,24,12,6,24,12,6,12,12,30,12,12,12,4,20,2,4,8,2,8,2,
4,36,140,12,60,6,6,6,6,6,6,6,8,6,6,6,2,2,2,102,40,14,14,12,8,42,4,4,4,6,6,12,
18,2,2,2,6,6,6,14,42,6,14,6,6,4,12,42,6,6,6,6,14,4,4,6,6,6,6,6,6,12,40,12,8,2,
2,4,2,2,2,2,36,12,120,40,36,12,12,12,12,4,40,12,24,12,12,12,6,12,12,12,12,12,6
,30,8,6,12,2,2,18,12,12,12,18,4,12,2,2,560,140,20,4,2,8,2,8,4,2,4,4,4,2,2,2,2,
2,60,8,12,4,6,6,6,6,6,6,6,6,6,6,2,2,2,40,12,6,14,24,8,6,2,2,4,6,6,24,8,6,4,2,2
,6,6,12,6,42,12,6,6,14,14,6,4,12,4,6,6,6,6,6,6,6,14,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,12,12,4,2,2,2,2,2,2,36,12,12,6,30,8,6,6,2,8,2,6,6,6,6,6,6,6,2,6,6,6,6,6,6,18
,4,12,2,2,18,4,4,6,2,2,4,2,140,40,12,40,12,8,4,2,4,4,4,2,2,2,2,2,2,2,24,8,12,4
,4,4,6,6,2,2,6,14,6,6,6,12,12,4,12,4,12,4,6,6,6,6,6,6,6,6,12,12,2,20,20,8,2,2,
2,2,2,2,2,2,2,2,2,8,6,6,6,6,2,6,6,6,6,2,18,4,6,2,6,6,6,2,6,6,6,6,6,6,6,2,6,6,6
,6,6,4,4,4,2,6,6,4,2,6,12,40,12,12,4,2,2,12,4,6,6,12,2,12,2,2,2,2,4,140,20,8,4
,2,8,4,2,2,8,2,4,4,2,2,2,2,2,2,2,6,6,2,6,6,6,6,6,2,6,6,2,6,6,6,2,6,6,2,4,12,2,
2,2,2,6,12,2,6,6,2,2,2,40,12,8,4,4,2,4,4,4,2,2,6,2,6,2,2,8,2,2,2,2,2,2,2,2,6,6
,6,2,12,4,2,8,4,2,2,2,4,2,2,2,2,20,6,2,2,4,2,8,4,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2
],[34320,1824,160,272,4440,282,12,30,1680,140,48,80,32,48,16,44,12,16,140,44,
560,576,142,80,2,104,10,2,38,4,2,18,12,120,56,2,6,18,10,2,4,20,40,32,8,8,8,12,
16,8,4,140,44,12,12,8,8,4,8,8,4,12,8,282,30,30,12,12,12,12,12,560,32,24,32,24,
1680,140,60,6,8,6,2,60,6,8,6,8,2,8,12,12,2,2,2,6,20,32,8,2,32,12,20,12,2,2,20,
12,8,6,6,2,10,2,2,2,14,8,2,2,2,6,6,2,4,20,2,12,6,6,8,8,2,2,2,8,4,20,2,4,8,4,4,
4,8,4,4,12,8,4,142,2,38,4,2,12,12,12,12,12,18,18,2,30,10,14,2,2,10,6,2,2,2,2,2
,4,4,4,4,4,4,2,2,2,2,18,6,6,2,4,20,20,8,32,24,8,8,20,2,2,2,2,140,140,20,44,12,
8,2,12,2,4,6,2,6,20,8,2,2,4,4,12,4,2,2,2,2,4,6,6,2,2,40,32,8,12,4,2,2,4,4,2,2,
8,8,4,8,8,4,8,8,4,2,2,2,2,2,2,2,6,2,4,4,2,4,2,2,2,8,8,2,2,4,2,2,2,8,4,2,2,2,4,
2,2,8,2,2,2,4,4,2,2,4,2,4,2,30,12,12,12,4,20,2,2,2,6,2,2,6,2,2,4,140,12,60,6,6
,6,6,6,6,6,8,6,6,6,2,2,2,2,10,2,8,4,2,2,12,2,2,2,2,2,2,2,2,2,6,4,4,4,4,4,4,2,4
,2,6,2,2,2,6,6,6,2,2,14,2,2,2,2,6,6,6,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,2,2,2,
2,4,2,2,2,2,2,6,6,6,2,2,8,8,8,4,4,8,2,2,4,2,2,2,2,8,4,8,8,12,12,4,4,4,2,8,4,2,
4,4,2,2,8,2,2,2,2,2,2,2,4,4,4,4,2,2,4,4,2,2,4,2,4,2,4,2,6,10,2,2,4,2,4,4,2,2,
18,12,12,12,6,2,4,2,2,4,4,560,140,2,4,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,20,2,
12,2,4,6,6,6,6,6,6,6,6,6,6,2,2,2,8,4,2,2,2,2,8,8,8,2,2,2,2,2,2,2,2,2,2,2,2,8,8
,2,2,2,2,2,4,2,2,2,2,2,2,2,12,2,2,2,2,2,2,2,2,2,2,4,2,2,2,6,2,2,2,2,2,2,4,4,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,4,12,4,2,2,2,2,2,2,4,4,4,2,6,2,2,2,2,4,2,8,2,6,6,6,6
,6,6,6,2,6,2,2,2,2,2,2,2,2,2,6,2,2,4,4,4,2,2,2,2,2,2,2,2,4,4,4,2,20,20,8,32,24
,12,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,2,2,2,2,2,2,2,2,4,4,4,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,4,4,2,2,4,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,4,4
,2,20,20,8,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,4,2
,2,2,2,2,6,2,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2
,2,8,8,4,4,8,4,2,2,2,4,2,2,2,2,6,4,4,2,2,2,4,2,2,4,140,2,4,2,2,6,2,4,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,4,2,2,2,2,6,4,2,2,2,2,2,2,2,2,8,12,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,4,2,2,2,2,2,2,2,2,20,2,2,2,2,2,8,4,2,2,2,2
,4,2,2,2,2,2,2,2,2,2,2],[34320,1824,240,4440,282,12,30,1680,140,40,80,36,144,
48,16,560,576,142,96,38,18,12,120,24,6,18,20,40,12,140,36,12,12,16,4,16,8,282,
30,30,12,12,12,12,12,560,24,24,1680,140,60,6,8,6,2,60,6,8,6,2,8,4,20,32,8,12,
12,2,14,6,6,20,20,8,6,10,12,12,6,4,20,2,8,4,12,4,4,8,4,142,38,12,12,12,12,12,
18,18,30,6,10,6,2,4,18,6,6,20,12,8,24,4,4,20,2,2,2,2,140,140,20,36,12,12,4,6,2
,6,20,4,4,12,4,6,6,2,40,12,4,4,8,2,4,4,2,8,2,8,8,6,4,2,8,4,4,4,4,30,12,12,12,4
,20,2,6,2,6,2,4,142,14,6,4,4,4,4,60,6,6,6,6,6,6,6,8,6,6,6,2,2,2,4,12,2,4,6,6,6
,6,2,14,2,6,6,6,2,2,2,2,2,2,2,2,10,6,6,6,8,4,4,4,2,2,2,12,12,4,8,4,4,4,4,4,4,4
,2,4,4,4,4,4,4,6,10,2,4,18,12,12,12,6,4,560,140,4,2,2,2,6,2,2,2,2,2,2,20,12,4,
6,6,6,6,6,6,6,6,6,6,2,2,2,2,2,8,8,2,2,2,2,8,2,4,2,2,2,2,14,6,2,2,2,4,2,2,2,2,2
,2,2,6,2,2,6,6,6,2,2,2,2,4,12,4,2,2,2,4,4,4,4,6,10,2,4,6,6,6,6,6,6,6,2,6,2,2,2
,2,2,6,4,6,2,4,20,12,24,12,2,2,2,2,2,2,2,4,4,2,2,2,2,4,4,4,6,2,2,2,2,2,2,12,4,
20,20,8,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,6,2,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,
2,2,6,2,4,8,4,4,4,2,4,2,6,4,4,4,4,4,4,140,4,2,6,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,6,4,2,2,4,4,12,2,2,2,2,2,2,2,2,2,2,8,2,2,2,2
,2,2,2,4,2,4,2,2,2,4,2,2,2,20,2,2,2,2,4,2,2,2,2,4,2,2,2,2,2,2],[32760,96,120,
27,36,8,16,12,8,60,4,15,12,9,2,1,6,3,4,8,4,4,4,6,4,2,4,60,4,4,4,6,2,12,9,3,5,3
,1,2,3,4,2,1,1,3,2,1,2,4,4,4,4,2,2,2,6,2,2,2,12,1,3,2,1,3,1,1,3,2,2,1,1,2,1,1,
3,1,3,4,2,2,2,2,2,2,12,1,1,2,1,1,1,2,2,1,1,3,1,1,2,3,1,1,2,2,2,1,12,1,1,2,1,1,
2,2,2,1,1,1,1,1,1,2,1,1,2,3,1,1,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[32760,96,
120,27,36,8,16,12,8,60,4,15,12,9,2,1,6,3,4,8,4,4,4,6,4,2,4,60,4,4,4,6,2,12,9,3
,5,3,1,2,3,4,2,1,1,3,2,1,2,4,4,4,4,2,2,2,6,2,2,2,12,1,3,2,1,3,1,1,3,2,2,1,1,2,
1,1,3,1,3,4,2,2,2,2,2,2,12,1,1,2,1,1,1,2,2,1,1,3,1,1,2,3,1,1,2,2,2,1,12,1,1,2,
1,1,2,2,2,1,1,1,1,1,1,2,1,1,2,3,1,1,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[30888,
3024,24,6048,504,3024,504,24,24,24,504,24,1348,8,1344,504,24,144,24,144,24,24,
24,24,504,24,24,24,24,24,24,24,504,1344,4,4,3024,504,144,24,144,144,24,144,28,
4,8,24,24,24,24,24,24,24,24,504,24,24,144,4,4,4,4,4,4,4,144,504,504,144,24,24,
24,144,24,24,24,24,8,24,4,4,4,4,4,24,24,24,24,24,4,504,144,24,24,4,4,4,4,4,4,4
,4,4,4,4,4,4,24,24,24,24,24,24,4,24,1344,504,24,4,4,4,4,4,4,4,4,24,144,24,8,4,
4,4,4,4,4,4,4,4,4,4,24,24,24,24,24,4,4,144,24,4,4,4,4,4,4,4,4,4,4,4,24,4,4,4,4
,4,4,144,24,24,24,4,4,4,4,24,24,4,4,4,4,4,4,4,24,24,4,4,4,4,504,24,4,4,4,4,4,4
,4,24,4,4,24,4,4,4,4,4,4,4,24,4,4,4,4,144,4,4,4,4,24,4],[25740,2556,60,140,
5130,504,36,2520,420,20,40,60,12,28,24,8,36,4,420,36,20,4,1120,1122,420,10,20,
54,12,20,4,6,174,50,20,24,12,2,120,20,40,20,24,8,8,20,12,4,12,12,4,4,4,4,4,420
,20,36,12,12,20,12,12,4,20,4,4,4,4,4,20,4,20,20,20,4,4,4,12,12,4,4,4,504,36,36
,1120,16,16,2520,420,150,12,20,12,2,150,12,12,2,18,10,4,120,2,6,2,20,18,2,6,2,
24,12,2,4,12,4,4,12,2,4,120,12,2,4,12,2,8,40,4,20,4,4,8,4,4,4,20,20,20,4,4,4,4
,4,4,4,20,20,20,4,4,4,4,4,12,12,4,4,4,4,4,4,4,4,4,4,4,20,4,4,4,4,4,4,4,4,4,420
,20,4,6,6,20,42,12,18,12,6,2,2,8,4,4,24,2,120,24,16,120,6,6,420,420,120,20,36,
20,20,12,12,12,4,4,4,2,2,4,2,120,4,2,8,8,12,2,2,2,2,4,40,20,24,20,12,12,10,2,4
,4,2,2,2,10,2,2,6,2,2,2,4,2,2,2,2,2,2,2,4,2,8,20,2,12,2,2,2,4,2,2,2,2,4,2,2,2,
2,2,8,2,2,2,2,2,2,36,40,4,4,2,2,4,4,20,4,4,4,20,20,4,4,4,4,4,4,4,4,20,20,4,4,4
,4,4,4,4,4,4,4,4,4,420,12,150,12,12,12,12,2,20,20,12,4,12,8,4,2,4,2,2,4,2,12,
12,2,4,6,2,4,2,6,2,6,4,8,8,2,4,20,2,8,4,4,4,20,2,2,20,20,12,4,12,4,4,4,12,12,
20,4,4,4,4,4,2,8,2,2,20,4,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,8,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,12,8,4,6,6,2,20,1120,420,20,8,
4,6,2,4,6,20,4,4,4,4,4,4,4,4,4,4,120,12,4,2,4,4,4,2,2,20,12,4,4,12,12,2,6,2,2,
2,6,4,2,2,2,2,12,2,4,2,4,10,2,2,2,6,2,4,2,2,2,4,2,2,20,20,4,4,2,2,20,2,4,20,4,
2,20,4,4,4,2,2,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,4,4,12,12,4,2,2,2,2,2,4,2,4,120,20,24,12,16,12,2,4,2,4,20,2,2,2,4,4,2,2,2,2
,2,2,2,2,2,2,4,2,2,2,2,2,2,8,2,2,2,2,2,2,2,2,120,20,20,2,2,40,12,4,4,2,2,20,4,
2,20,4,4,4,2,2,4,4,2,2,4,2,2,2,2,4,2,2,2,2,4,4,6,2,2,4,2,2,2,2,2,8,4,20,4,2,2,
20,4,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,4,2,4,420,20,4,8,4,2,2,6,2,4,2,
2,4,4,2,2,2,6,2,2,4,20,4,4,2,4,2,2,4,2,2,2,2,2,2,2,2,2,20,12,12,2,2,4,2,2,2,2,
2,2,2,2,12,4,2,2,4,2,2,20,4,2,2,2,2,2,4,2,2,2,120,4,2,2,2,8,6,2,2,20,4,2,2],[
25740,2856,100,5130,504,36,2520,630,20,60,100,10,6,490,6,20,1120,1232,420,40,
24,4,234,10,40,12,24,4,120,20,60,100,20,10,6,490,60,6,6,6,20,20,2,2,20,20,60,
20,2,6,2,504,36,36,1120,16,16,2520,420,150,12,20,12,2,150,42,12,2,10,12,10,6,6
,4,4,200,40,24,8,4,4,4,120,6,22,2,4,8,40,4,20,10,6,20,20,20,2,2,2,20,60,20,2,2
,2,2,6,6,6,20,2,6,2,2,2,2,2,420,4,40,62,6,12,8,4,4,4,24,12,12,4,160,16,120,6,6
,490,420,120,40,6,20,20,4,120,8,60,40,20,4,4,6,4,2,2,10,6,10,2,6,8,24,4,20,2,
22,6,6,6,2,4,6,2,2,2,8,8,2,2,6,2,6,2,2,36,40,4,4,2,2,4,20,20,20,2,2,20,20,2,2,
6,2,2,2,2,2,2,2,420,4,150,12,12,12,12,2,40,40,4,4,12,12,4,4,4,14,4,4,4,8,4,2,6
,4,6,4,16,8,2,2,4,20,6,2,6,4,4,20,2,10,2,6,60,40,6,4,4,4,2,20,20,2,6,2,2,8,2,2
,2,2,2,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,12,4,8,4,20,1120,420,20,10,4,2,4
,6,20,2,2,2,2,2,2,120,40,4,22,6,12,4,4,4,6,2,2,8,2,4,4,4,6,4,4,2,6,2,2,6,4,4,2
,2,2,4,2,2,20,20,20,2,20,2,20,2,2,6,4,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,12,4,12,8,4,4,4,4,4,4,160,40,16,4,2,4,2,2,20,2,2,2,6,4,8,2,4,6,2,4,4,4,6,4,2
,2,2,2,2,120,20,20,2,2,40,12,4,4,2,2,20,20,2,2,2,2,2,2,2,2,2,2,2,6,4,4,4,4,4,4
,2,16,4,20,20,2,2,2,2,2,2,6,4,2,2,2,2,2,2,2,2,420,20,2,10,4,4,4,4,2,2,2,2,4,2,
6,2,2,4,20,2,2,2,2,2,2,2,40,4,2,4,4,2,2,2,2,12,4,2,2,2,2,20,4,2,2,2,4,4,2,120,
2,2,4,8,6,2,20,2,2,2],[25740,3528,260,5130,504,36,2520,1050,20,140,260,30,18,
630,18,20,1120,1512,504,80,84,12,24,6,390,2,80,24,2,120,20,140,260,20,30,18,
630,140,18,18,18,20,20,6,6,20,20,140,20,6,18,6,504,36,36,1120,48,48,2520,420,
150,12,20,12,2,150,84,12,2,2,2,12,390,80,84,36,12,12,2,2,12,24,2,2,150,2,36,2,
24,40,4,20,30,18,20,20,20,6,6,6,20,140,20,6,6,6,6,18,18,18,20,6,18,6,6,6,6,6,
504,12,24,6,6,80,120,12,12,36,6,2,2,24,2,240,48,120,6,6,630,420,150,80,18,20,
20,12,12,2,2,150,36,2,2,2,2,2,140,80,20,12,2,2,2,2,2,2,2,36,84,12,2,2,2,2,12,
20,2,36,2,2,2,36,2,36,2,2,2,2,2,2,2,2,2,36,40,4,12,4,12,4,20,20,20,6,6,20,20,6
,6,18,6,6,6,6,6,6,6,420,12,150,12,12,12,12,2,120,80,12,12,24,2,2,2,6,12,24,12,
2,12,24,2,2,12,48,24,6,4,20,18,2,12,20,2,2,140,80,18,12,12,12,6,20,2,2,2,20,2,
2,6,36,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,36,12,6,6,2,
20,1120,420,40,12,12,4,6,20,6,6,6,6,6,6,150,12,2,2,80,12,12,36,12,2,12,2,2,36,
12,12,2,12,12,24,12,2,2,2,2,12,12,2,4,4,4,20,20,20,2,20,2,20,6,6,18,12,2,2,6,2
,2,6,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,36,12,12,12,6,2,6,2,2,2,240,80,48,12,12,6,6
,20,2,2,2,36,12,2,2,2,2,2,12,12,2,2,2,2,2,2,2,2,2,2,2,120,20,20,2,2,40,12,4,4,
4,20,20,2,2,6,6,2,6,2,2,2,2,2,12,12,12,6,2,2,2,2,2,48,12,20,20,2,2,6,2,2,2,2,2
,2,2,2,2,2,2,2,6,420,40,12,12,2,4,12,2,4,6,2,2,12,2,6,2,2,4,20,6,6,2,2,2,2,2,
80,12,12,2,2,2,2,2,12,4,4,6,2,20,12,2,2,2,12,2,4,2,120,2,2,2,24,6,6,20,6,2,2],
[25740,3132,60,332,3510,315,36,1296,1032,20,112,332,60,60,16,16,120,36,4,372,
36,20,4,420,1086,315,30,35,102,3,12,27,6,342,38,35,27,3,2,15,112,332,16,16,16,
16,16,20,60,60,60,120,4,4,4,4,36,372,112,36,36,36,16,16,16,20,8,8,4,4,4,4,4,20
,112,4,4,4,4,8,36,16,16,315,36,36,420,12,32,12,32,1296,105,90,12,20,9,3,2,90,
102,9,2,30,9,38,6,10,9,3,1,342,30,30,30,35,102,30,6,6,9,9,38,38,2,1,1,3,3,3,3,
9,27,10,9,2,90,3,10,2,3,6,30,2,3,3,7,3,3,30,20,120,36,60,60,16,16,16,4,4,4,20,
20,8,8,8,4,4,4,4,4,4,4,4,20,112,8,8,8,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,36,36,
36,16,16,16,16,16,16,16,16,8,36,4,4,4,16,16,8,8,4,4,315,12,27,6,6,35,105,3,9,
12,12,36,6,2,2,27,2,120,6,12,2,6,12,12,2,12,12,12,6,32,2,2,12,2,2,15,3,3,372,
105,90,35,36,20,9,3,12,3,3,10,4,2,1,3,2,90,6,6,6,6,30,3,3,10,10,10,10,1,1,1,1,
2,2,2,2,2,3,3,112,35,16,3,9,10,2,4,1,1,38,10,30,2,6,1,3,30,6,6,6,6,6,6,6,102,
30,30,30,30,30,2,2,2,2,3,3,3,3,9,1,1,1,1,38,38,10,10,9,9,30,6,6,6,3,3,10,2,2,2
,1,1,6,6,6,30,2,2,2,1,1,3,10,3,30,6,6,6,1,1,3,2,2,10,2,3,2,10,6,2,1,2,10,2,6,1
,36,1,3,3,3,1,1,1,30,2,6,6,2,60,4,16,20,8,8,4,4,4,4,4,4,4,4,4,4,4,16,4,4,4,8,
36,4,4,4,4,4,4,4,4,16,16,16,16,16,8,4,4,4,4,4,4,4,4,8,8,4,4,4,4,4,4,8,4,4,4,
105,9,1,90,12,9,9,9,2,105,35,3,3,9,9,9,12,27,2,2,2,1,3,6,9,9,27,9,9,2,9,27,3,3
,1,9,2,2,3,9,3,3,12,2,6,2,2,2,2,12,12,12,12,6,32,12,12,2,2,2,2,2,12,2,2,2,2,2,
2,2,2,2,2,2,2,7,3,1,3,3,1,1,20,3,36,2,6,16,3,3,9,4,1,20,2,3,30,2,6,112,35,16,
16,3,3,3,3,3,36,3,9,9,9,8,1,1,1,1,4,4,10,6,2,2,20,3,4,1,2,30,30,30,38,10,2,2,2
,6,6,6,6,1,3,2,6,8,3,2,1,6,6,6,6,6,6,6,6,6,6,6,30,3,1,1,1,1,1,1,10,10,10,2,2,2
,2,2,2,2,2,2,2,2,3,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10,2,2,2,6,6,6,6,6,6
,1,1,2,2,2,2,2,6,6,6,10,1,2,2,2,2,2,2,2,2,2,2,2,6,6,6,10,1,2,2,2,2,2,6,6,6,10,
1,2,2,2,2,2,2,2,2,36,12,6,6,2,3,1,1,1,1,1,1,420,105,30,2,6,6,6,2,2,2,2,3,4,16,
4,4,4,4,8,4,4,4,4,4,4,4,4,90,12,3,10,2,3,3,3,2,35,3,3,3,9,1,1,1,9,9,30,6,12,3,
3,3,2,9,2,30,6,12,1,1,9,2,3,2,3,9,1,3,9,3,27,9,3,3,9,9,3,3,1,1,2,10,2,1,9,3,3,
1,9,3,3,1,1,3,9,3,3,3,3,3,3,3,1,3,1,1,3,3,1,12,2,6,2,2,2,2,2,2,2,2,2,2,2,12,12
,12,2,2,2,2,2,2,2,2,2,2,2,1,3,1,1,1,3,1,3,1,1,20,4,3,2,1,16,4,1,3,20,8,3,3,4,4
,4,4,1,1,1,1,1,1,2,2,30,2,6,3,8,36,16,16,1,1,1,1,9,3,3,3,3,3,4,4,6,2,4,1,4,1,3
,8,4,1,1,1,2,2,6,2,2,2,2,2,2,2,6,2,6,8,3,1,1,1,4,2,2,2,6,6,3,8,2,1,1,1,4,2,2,2
,2,2,2,4,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,6,6,6,10,1,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,36,12,12,9,6,2,6,2
,2,2,1,120,35,12,3,12,32,9,6,2,2,2,2,6,2,2,2,2,3,1,1,4,20,3,2,2,3,3,2,6,30,12,
6,6,6,1,1,1,3,10,2,2,2,2,2,3,3,2,9,3,3,1,3,3,3,1,1,1,1,3,9,3,1,9,1,1,1,1,1,3,3
,3,10,2,6,2,1,2,2,6,10,2,2,1,6,2,10,2,1,2,2,1,1,3,1,3,1,3,1,1,3,1,3,3,1,1,1,3,
12,2,2,2,2,2,2,2,2,2,2,15,1,3,1,1,1,1,1,1,1,1,1,30,12,16,4,3,1,4,1,4,1,4,1,8,3
,1,1,1,1,1,1,1,4,4,4,2,2,6,2,2,2,4,1,2,2,2,4,4,1,1,2,2,2,2,2,2,2,2,2,2,2,12,9,
3,9,6,2,3,3,2,2,2,1,3,2,6,3,12,12,2,3,6,2,3,32,12,12,9,2,12,2,3,1,6,2,2,1,2,2,
2,2,2,2,2,1,1,20,4,3,1,2,2,4,1,6,2,8,3,3,2,1,1,2,2,6,2,2,6,2,2,1,3,3,1,2,2,2,2
,6,6,6,10,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,3,1,1,1,
2,3,1,1,105,30,12,2,6,2,6,2,2,2,4,1,2,9,3,3,1,3,3,1,3,1,3,1,2,12,2,6,2,2,2,2,3
,2,1,2,2,12,12,12,2,2,3,1,2,2,1,2,2,2,1,2,2,2,1,2,2,2,2,3,1,1,1,8,3,4,1,1,1,2,
4,1,2,6,2,4,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,3,1,35,3,6,3,9,6,2,2,2,2,2,2,2,2
,3,2,2,3,1,1,1,1,1,12,2,2,2,2,2,2,2,2,2,2,1,2,1,1,12,4,1,2,1,3,3,6,2,3,9,1,3,3
,2,2,1,2,1,1,2,2,2,2,2,2,1,2,1,12,2,2,15,1,3,3,1,2,2,2,2,2,1,1,1,1,2,1,3,2,7,3
,3,2,1,3,3,1,1,1,3,1,3,3,1,1,3,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1],[25740,2124,
140,268,3150,108,18,9,1368,484,60,96,172,44,76,40,24,76,28,12,232,40,20,4,420,
630,106,70,18,70,10,3,10,6,3,3,6,150,46,16,9,12,8,1,2,15,96,124,40,16,24,24,16
,60,44,28,44,52,12,12,12,12,28,232,52,40,24,24,20,20,12,20,16,8,4,4,4,8,4,20,
52,4,4,4,8,16,24,20,12,105,3,6,9,3,420,28,24,28,24,1260,106,15,9,1,3,4,1,2,1,
60,9,28,12,6,28,4,22,10,12,4,1,4,4,120,46,34,22,16,42,24,16,12,6,4,28,16,6,6,4
,6,8,4,4,10,10,10,3,1,3,3,2,1,2,30,6,6,2,3,2,10,10,2,4,4,1,3,7,3,3,60,40,28,20
,28,24,16,16,12,12,12,20,20,8,8,8,4,4,4,4,4,4,4,4,20,52,8,16,16,16,4,4,4,4,8,8
,8,8,8,4,4,8,4,4,8,8,16,24,16,20,12,12,12,12,8,8,12,16,16,4,8,8,8,12,8,8,4,4,
105,3,9,6,3,2,3,1,1,15,15,7,7,1,1,3,3,1,1,4,4,1,3,1,3,9,3,1,2,60,6,16,2,18,12,
4,6,28,12,12,18,24,6,6,4,2,2,15,3,3,210,106,15,16,34,10,8,1,3,1,3,1,4,2,2,1,3,
1,2,1,1,30,10,6,6,4,10,6,4,6,6,6,4,4,2,2,2,2,4,2,2,4,3,2,2,1,60,16,28,8,10,1,3
,1,1,1,2,2,10,12,16,6,10,4,2,24,16,10,12,12,12,10,10,28,28,16,22,10,16,6,6,6,6
,4,2,4,2,10,6,4,4,4,10,16,3,10,10,2,4,1,10,10,6,6,4,4,4,2,4,2,1,2,2,10,6,6,10,
2,2,4,4,2,4,4,2,1,10,10,6,6,4,2,4,4,2,4,2,2,1,2,6,4,4,2,2,4,4,6,2,3,3,1,1,3,3,
1,1,3,1,3,1,3,1,1,20,12,16,20,8,8,4,4,4,4,4,4,4,4,4,4,4,8,8,4,4,16,16,4,4,8,8,
8,8,8,8,8,8,8,8,12,8,4,4,4,4,4,4,4,4,8,8,4,4,4,4,4,4,8,4,4,4,105,9,1,15,9,3,3,
3,1,3,4,1,1,1,15,15,7,3,7,3,3,1,3,3,1,1,1,1,3,1,3,3,4,2,1,1,2,1,1,1,9,3,1,1,9,
9,3,3,1,1,1,1,2,3,3,3,1,1,1,3,1,3,1,3,3,1,3,1,1,2,3,3,3,3,1,1,1,1,4,6,18,6,6,6
,6,12,4,4,4,6,12,16,8,2,2,2,6,6,8,2,2,2,2,2,2,2,2,2,2,2,2,3,7,1,3,3,1,1,30,10,
10,1,3,1,12,2,4,4,6,1,4,1,2,1,10,6,10,40,16,16,8,8,4,4,4,2,18,10,10,4,4,12,4,4
,1,1,6,1,1,1,3,1,3,1,1,2,2,10,4,2,2,1,1,10,16,10,10,10,6,6,6,12,10,10,10,4,2,4
,4,4,4,1,1,2,10,6,6,6,6,6,6,4,4,4,4,10,4,4,2,2,2,2,2,4,4,4,4,2,4,4,4,4,4,2,4,2
,2,2,1,4,4,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,4,6,4,4,4,4,4,4,4,6,4,4,2,2,2,2,4,4,4
,4,6,4,4,2,2,2,2,2,2,2,2,2,4,4,4,6,4,4,4,2,2,2,4,4,4,4,4,6,4,2,2,2,2,2,2,2,2,2
,3,3,3,1,1,1,1,1,3,1,1,1,1,1,420,105,3,1,1,3,1,3,1,1,1,1,1,1,3,4,8,8,4,4,4,8,4
,4,4,4,4,4,4,4,15,1,3,3,1,4,1,3,1,1,1,1,2,1,1,1,15,7,3,3,3,3,1,1,9,3,1,1,3,7,1
,1,3,1,4,1,1,1,3,1,3,2,1,3,7,1,1,3,4,1,1,1,1,2,1,3,1,1,9,9,1,1,3,3,3,3,3,3,1,1
,1,1,1,3,3,3,1,3,1,3,3,1,1,1,1,1,2,3,1,1,2,1,3,3,3,1,3,1,1,1,3,3,3,1,1,3,1,1,3
,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,6,6,2,2,2
,2,2,2,2,2,2,2,6,4,4,8,6,2,6,2,2,2,2,2,2,2,2,3,1,1,1,1,1,3,3,1,1,1,2,2,1,1,4,6
,4,2,10,4,4,4,2,2,2,2,2,2,2,2,2,2,1,1,1,1,10,6,10,10,12,10,4,8,4,4,4,4,4,2,2,2
,2,4,6,6,1,3,1,1,2,1,2,2,4,4,2,2,2,2,1,1,4,4,2,2,2,2,2,2,4,4,4,4,4,4,2,2,2,2,1
,1,4,4,4,4,4,4,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4
,4,4,4,4,4,4,4,4,6,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,3,3,3,3,1,1,1,1,1,1,1,1,1,1,60,15,16,7,28,24,9,1,1,1,1,1,1,1,3,1,
1,1,1,1,1,3,1,1,4,1,2,1,1,1,9,1,3,1,1,1,3,1,7,3,3,1,1,1,1,1,1,3,1,4,2,2,1,1,1,
1,1,1,3,1,1,1,1,1,2,1,1,1,1,1,3,3,1,1,3,3,3,1,1,1,1,3,3,3,1,1,1,3,3,1,1,3,3,1,
1,3,1,1,3,1,1,1,3,1,1,2,1,1,1,1,1,1,1,1,1,3,3,1,2,1,3,1,1,1,3,1,1,1,1,2,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,6,2,2,2,2,2,2,2,2,
2,15,3,1,1,1,1,1,1,1,1,1,1,3,3,4,6,2,4,2,1,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,1,1
,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,1,3,3,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,18,9,12,4,6,1,6,2,3,12,16,8,3,6,8,6,3,3,1,1,2,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,2,2,1,1,1,1,2,1,1,1,3,1,1,1,1,1,1,1,1,1,2,2,3,1,1,1,1,3,1,1,1,1,1,3
,1,3,1,1,1,3,3,3,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,2,3,1,1,105,3,3,1,3,1,1,3,1,1,1,2,2,2,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,4,6,6,2,2,2,2,3,2,1,2,6,4,8,4,6,6,1,3,2,2,1,2,2,2,1,1,2,2,1,1,1,1,1,1,1,3,1
,1,1,1,2,2,2,1,1,1,1,1,2,1,1,3,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,3,1,1,15,7,1,1,9,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,4,6,2,2,2,2,2,2,2,2,2,1,1,1,1,3,2,1,1,1,1,9,1,1,1,1,3,3,3,3,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,2,1,3,1,1,15,3,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,7,3,1
,1,3,1,1,1,3,1,1,1,3,3,1,3,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1],[24024,1008,360,
3360,588,12,48,1008,28,120,120,120,16,36,12,28,36,8,224,24,224,28,144,60,24,12
,240,12,120,120,8,12,12,28,36,12,12,8,12,8,4,8,12,12,8,588,48,48,12,12,12,12,
12,224,48,24,48,1008,28,240,16,120,12,4,12,4,240,16,12,4,48,48,16,12,12,4,16,4
,16,4,80,8,120,12,4,8,4,8,4,4,12,12,12,8,4,12,8,4,4,12,4,4,4,28,60,12,12,12,12
,12,24,24,80,16,8,4,12,48,8,48,48,8,8,8,28,28,36,12,16,8,4,8,4,4,4,16,8,4,4,
120,12,48,12,8,4,16,4,8,4,8,4,24,48,12,12,12,80,8,24,8,24,8,8,4,4,12,4,4,4,4,4
,28,12,4,4,4,4,4,240,16,12,12,12,4,4,4,24,4,8,12,4,12,12,4,4,4,48,8,8,8,8,8,8,
8,120,12,12,4,120,12,4,8,4,12,12,12,12,8,4,12,4,8,4,24,24,16,4,24,12,12,12,8,4
,224,28,24,4,4,8,48,8,24,8,4,16,8,4,4,4,4,4,4,12,4,16,16,4,4,48,12,8,4,12,12,4
,4,4,4,4,4,4,8,12,8,8,8,8,4,4,8,4,4,4,12,12,4,4,4,4,4,4,12,4,24,16,4,12,4,8,4,
8,4,48,12,48,8,8,8,8,8,120,12,4,12,4,8,8,4,4,4,4,4,4,4,12,4,80,16,8,4,8,8,8,4,
4,12,4,4,4,4,4,8,4,48,12,8,4,8,4,8,8,8,4,4,12,12,4,4,4,24,8,4,4,4,4,4,28,4,4,4
,4,24,8,8,4,8,12,4,4,4,4,4,8,4,8,4,4,4,4,24,8,4,4,48,12,8,4,12,4,4,16,4,8,4,4,
12,4,8,8,4,4,4,8,8,4,8,4,4,4,24,4,8,8,12,4,4,4,4,4,8,4,4],[20592,1152,240,2520
,90,36,18,1008,88,40,80,32,48,4,84,36,352,12,336,86,72,14,6,12,72,24,18,18,12,
40,16,16,4,84,36,12,12,8,12,8,84,6,12,18,6,352,32,12,32,1008,88,12,18,4,6,10,4
,8,4,12,18,4,6,12,10,8,4,4,12,16,24,12,12,2,14,6,6,12,4,6,2,6,4,10,10,4,8,12,8
,4,4,4,84,12,4,6,2,2,2,6,2,8,12,6,12,12,8,8,8,32,8,4,4,12,6,6,84,84,12,36,12,4
,6,2,2,12,4,4,4,4,6,2,2,40,16,4,4,4,4,4,8,8,2,4,4,6,6,2,2,4,4,12,6,4,10,10,2,6
,6,6,6,2,4,2,84,12,12,18,6,6,6,4,6,10,4,4,4,2,4,2,6,4,12,4,2,6,2,2,6,2,8,8,8,4
,4,4,4,4,4,4,2,4,4,4,4,4,8,4,8,4,4,8,4,12,12,4,4,4,4,2,4,4,4,4,4,12,12,6,2,2,
336,86,4,4,2,2,8,8,2,2,6,6,2,6,2,2,2,2,2,2,6,2,12,4,6,2,2,2,2,2,4,6,6,6,2,4,6,
2,12,4,2,4,4,2,6,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,12,2,2,2,6,6,4,2,2,12,12,24
,14,8,8,2,2,4,4,2,4,4,2,2,2,2,2,2,2,2,2,4,8,4,4,4,4,4,4,2,2,2,4,4,4,4,4,2,12,2
,6,8,2,4,4,4,2,2,4,6,2,2,2,2,4,6,8,4,2,4,4,2,4,2,4,4,4,4,4,4,6,6,4,84,2,2,2,4,
6,2,2,2,2,4,2,4,4,2,4,2,6,2,6,6,2,2,4,2,4,2,6,12,2,2,2,2,2,2,4,2,6,2,2,2,2,4,4
,2,2,2,2,2,4,4,2,2,2,12,4,2,4,4,2,4,2,6,4,2,2,2,2,2,4,2],[20592,1152,240,3240,
504,72,1152,84,80,80,80,36,12,84,36,352,12,352,84,96,36,12,192,24,24,12,80,80,
12,12,84,36,12,12,12,12,12,504,72,72,352,32,12,32,1152,84,192,24,80,24,12,8,
192,24,24,8,8,8,12,32,32,12,12,12,12,4,4,12,12,4,24,4,70,4,80,12,12,12,12,12,
12,84,36,12,12,70,6,24,4,24,12,12,32,4,32,32,4,4,4,12,6,6,84,84,12,36,12,12,4,
4,12,4,4,12,4,4,4,80,12,8,8,8,32,12,4,4,4,4,24,4,4,4,4,12,72,4,70,4,2,12,4,12,
4,2,12,2,84,12,192,24,24,24,24,8,4,12,4,24,12,12,4,6,2,2,6,4,32,4,4,4,4,4,4,4,
4,4,2,4,80,12,12,8,80,8,12,8,12,12,12,12,4,4,4,12,4,4,4,4,4,4,12,12,24,12,4,
352,84,12,4,4,32,4,2,2,6,12,2,4,2,2,2,2,2,2,6,2,12,12,4,4,4,4,12,24,24,6,32,12
,4,2,12,12,2,8,2,6,2,4,2,2,4,4,4,4,4,4,4,4,12,12,4,4,12,12,2,2,2,24,24,4,4,12,
12,32,12,32,4,2,2,4,4,2,4,4,2,2,2,2,2,2,2,2,2,80,12,8,8,12,8,4,4,2,8,4,4,4,4,2
,12,70,24,4,2,4,4,4,2,2,12,6,4,2,4,32,12,4,4,4,4,4,4,2,4,2,4,4,12,12,4,4,12,4,
4,84,4,12,4,4,6,2,2,2,2,4,2,8,12,2,4,4,6,4,12,4,2,2,4,32,12,4,2,12,2,2,2,2,2,2
,4,2,24,4,2,2,2,12,4,4,4,2,2,2,4,4,4,4,2,12,12,4,4,12,2,4,2,6,4,2,2,2,4,2,4,2]
,[19305,2421,45,225,3780,315,1917,651,45,105,185,21,29,21,13,9,63,27,9,427,39,
25,5,840,1008,315,45,72,9,15,228,36,45,15,9,90,15,105,165,21,9,13,13,9,45,9,9,
9,9,21,17,21,51,3,9,9,9,9,27,3,427,85,39,27,27,15,13,13,9,25,3,3,3,3,15,9,5,5,
5,5,3,5,5,15,3,3,3,25,85,15,5,5,5,5,15,27,13,9,5,5,3,3,3,3,1,315,840,36,36,
1890,315,90,15,108,48,9,12,3,20,12,9,5,3,216,45,56,24,9,9,24,16,3,3,5,9,5,5,9,
15,8,3,96,3,8,1,16,4,1,3,12,6,15,45,45,3,27,9,9,9,9,9,15,17,13,9,9,9,9,9,3,25,
25,15,9,9,9,5,5,5,5,3,5,3,3,5,5,3,3,3,3,3,25,85,15,9,15,15,15,5,5,5,3,5,5,5,5,
5,5,5,5,3,3,5,5,21,27,21,13,9,9,9,9,7,7,9,5,5,5,5,5,5,5,5,5,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,15,3,3,3,3,3,3,3,3,3,3,3,3,3,3,15,21,5,5,5,5,5,5,7,9,3,3,3,3,3,9
,9,3,3,3,3,3,1,1,1,1,1,3,1,1,1,3,1,1,1,315,15,45,45,9,9,15,150,4,18,12,6,12,36
,6,2,2,90,420,315,90,45,36,15,15,15,9,6,3,3,96,16,3,3,8,8,8,4,1,1,1,1,8,1,1,90
,45,18,15,9,15,6,3,3,12,12,12,3,3,24,48,3,3,5,3,9,3,3,3,3,12,16,8,8,3,9,15,16,
1,3,4,4,1,1,16,1,1,3,4,1,16,1,1,3,4,4,1,8,8,1,4,4,1,6,2,2,15,3,3,3,3,15,3,9,9,
9,9,15,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,15,25,9,9,3,3,3,5,5,5,3,3,3,5,5,3,3,3,3,3
,5,5,5,5,5,3,3,3,3,15,15,3,3,3,3,1,3,3,3,3,1,3,3,1,1,1,3,7,5,3,5,3,3,3,3,15,21
,3,3,3,3,3,3,5,5,5,5,5,3,5,5,5,5,5,5,5,7,7,7,7,9,3,9,3,3,3,3,3,3,3,3,3,1,1,1,1
,1,5,3,3,3,5,5,3,5,5,5,5,3,3,3,3,9,9,3,3,3,3,3,3,3,3,9,3,3,3,3,1,1,1,1,1,1,1,3
,1,1,1,1,1,1,1,3,3,3,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,315,15,1,90,45,45,9,5,9,5,9
,9,3,3,9,3,15,9,3,9,9,5,3,3,5,3,3,1,1,12,6,4,28,6,10,2,2,2,2,2,12,6,30,9,18,6,
3,6,10,3,5,9,6,3,3,3,15,12,80,45,12,8,9,5,5,5,3,24,9,15,9,9,12,15,3,3,4,3,3,3,
3,3,6,3,3,3,3,6,20,3,4,1,12,8,3,3,6,3,2,1,16,3,1,1,1,1,1,1,4,4,4,1,8,4,4,4,8,4
,8,8,8,1,1,4,4,1,4,4,4,1,4,4,1,4,4,3,3,15,2,840,315,15,3,3,3,1,3,1,1,1,1,3,3,1
,9,15,3,3,3,3,3,1,3,3,3,3,3,3,3,3,3,1,1,3,1,3,3,3,3,3,3,7,5,3,5,5,5,3,3,5,5,5,
5,5,3,3,3,3,3,5,3,3,3,1,1,1,1,1,1,1,1,1,3,3,3,1,1,1,1,1,1,1,1,9,3,3,3,3,3,3,1,
1,1,3,3,3,1,1,1,3,3,3,3,3,3,3,3,3,1,3,3,3,3,1,3,1,3,3,3,3,1,1,1,1,3,3,3,1,1,1,
1,3,3,1,1,1,1,1,90,6,45,9,5,5,9,3,1,1,9,3,12,12,9,15,1,3,3,3,9,9,3,3,5,3,5,3,3
,3,6,3,3,1,1,3,3,1,1,3,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,4,2,6,6,2,2,2,6,2,2,15,
15,3,3,15,3,6,6,3,3,6,15,3,20,6,3,3,4,4,4,2,1,1,1,1,1,1,4,9,12,18,6,8,3,3,3,3,
9,3,3,3,3,5,4,4,6,3,3,3,3,3,3,3,2,2,1,3,6,2,1,1,1,4,6,3,1,1,1,2,2,8,3,6,1,1,1,
2,2,4,4,1,4,4,4,1,4,3,4,4,4,1,1,3,150,45,18,9,36,15,3,3,1,1,1,1,3,3,1,1,1,1,1,
3,3,5,1,1,1,3,1,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,3,3,3,1,1,1,
1,1,1,1,1,1,1,1,3,1,3,3,1,1,15,9,3,6,12,2,3,3,3,3,3,3,3,1,1,1,1,3,3,1,1,9,3,1,
1,3,3,3,3,5,2,2,2,6,6,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,90,15,15,2,15,15,3
,6,15,3,3,3,3,3,3,6,4,3,3,3,4,3,3,3,3,3,3,2,2,2,2,1,2,2,3,2,2,1,2,6,3,1,1,1,1,
1,1,1,2,2,2,2,1,2,2,4,2,4,4,4,4,1,1,3,3,1,3,12,9,6,3,4,3,28,9,6,10,5,3,2,1,3,1
,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,15,3,15,3,3,6,3,3,3,3,1,2,2,2,2,2,2,1
,1,1,1,1,1,1,1,1,1,1,3,6,3,3,315,15,3,3,3,3,3,3,3,2,4,3,1,3,1,3,3,2,1,1,2,1,2,
3,3,3,3,2,2,2,1,2,4,3,2,1,6,6,3,3,2,1,2,1,2,1,1,1,15,3,3,3,3,3,3,1,3,1,3,3,3,3
,1,1,2,1,3,6,3,1,1,45,9,15,3,3,1,1,1,1,3,3,1,3,3,2,1,1,1,1,1,1,2,1,3,3,1,1,1,3
,3,3,3,1,1,1,1,1,1,15,1,9,3,9,3,5,3,3,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,90,3,3,3,3
,1,1,1,1,1,1,12,6,3,1,6,2,2,15,2,3,3,3,1,1,1],[17160,3024,120,5040,840,24,3024
,840,120,120,120,840,120,1680,1680,840,120,24,24,360,120,360,120,120,120,120,
840,120,120,120,120,120,120,120,840,24,24,24,24,1680,24,24,3024,840,360,24,120
,360,24,360,120,24,24,360,24,24,120,120,120,120,120,120,120,120,120,840,24,24,
120,120,24,24,24,24,360,24,24,24,24,360,840,840,360,120,120,120,24,360,24,120,
120,120,24,24,120,24,24,24,24,24,24,120,120,120,120,120,120,840,24,360,24,120,
120,24,24,24,24,24,120,120,120,120,120,120,24,24,24,24,24,120,1680,840,120,24,
120,360,24,120,24,24,24,24,24,24,24,120,120,120,120,120,24,24,24,360,120,24,24
,120,24,24,24,360,120,120,120,24,120,120,24,24,24,24,24,24,120,120,24,840,120,
24,24,24,120,24,120,24,24,120,24,24,24,360,24,120,24],[17160,1920,80,216,2220,
141,6,15,840,616,64,200,16,24,8,64,24,8,212,28,8,280,624,141,40,21,68,5,5,21,2
,1,9,6,192,36,21,3,21,5,3,2,10,60,200,16,4,4,4,60,8,4,20,210,62,22,18,22,10,6,
2,2,8,6,4,60,8,4,4,20,4,4,141,15,15,6,6,6,6,6,280,16,20,16,20,840,70,30,3,4,3,
1,30,3,64,3,4,7,20,6,10,7,1,1,3,192,16,4,21,64,14,10,6,7,7,24,20,4,3,3,1,5,1,1
,3,21,10,1,1,1,3,7,3,2,30,1,10,4,3,5,10,14,5,1,1,4,4,2,10,1,60,18,2,4,4,2,4,4,
4,2,4,60,2,8,4,4,4,2,4,2,2,20,18,18,4,4,2,2,2,18,2,2,2,4,2,141,5,21,2,1,6,6,6,
6,6,9,9,21,51,5,11,5,5,15,9,3,3,3,1,1,6,2,2,2,2,2,2,2,2,2,21,3,3,3,2,70,10,4,6
,4,16,20,4,4,6,2,2,10,1,1,1,1,210,70,30,20,22,6,4,4,1,6,1,2,3,1,3,30,4,4,2,12,
1,1,10,6,6,8,1,1,3,3,4,2,2,3,3,3,1,60,20,16,4,6,6,2,1,1,20,6,2,1,1,12,4,2,4,4,
2,64,4,4,2,1,1,1,1,3,1,1,3,1,20,20,1,6,8,7,7,1,12,4,4,3,1,8,2,1,3,1,4,4,12,2,1
,1,1,8,5,1,14,10,2,2,3,1,1,4,6,3,1,4,6,2,1,6,4,2,1,15,6,6,6,2,2,2,10,1,2,1,1,4
,1,1,4,1,2,1,4,4,2,2,18,2,2,2,4,2,2,2,2,2,2,71,7,3,2,2,2,2,30,3,3,3,3,3,3,3,4,
3,3,3,1,1,1,51,21,5,1,11,7,7,5,21,1,1,1,1,1,1,3,3,3,3,5,2,2,2,2,2,3,6,1,9,2,2,
2,3,3,3,7,1,21,3,1,1,1,7,3,3,3,2,7,21,1,1,1,1,1,1,3,3,1,1,1,5,3,3,7,3,3,2,1,1,
3,1,3,5,3,3,5,1,4,6,20,4,4,4,2,6,2,2,2,2,2,4,4,1,1,1,1,2,1,1,1,1,1,18,6,4,2,60
,20,4,4,18,6,6,6,2,2,2,1,4,6,2,1,4,2,2,20,6,2,2,1,1,2,2,2,2,4,4,2,2,12,1,1,1,1
,1,3,1,6,6,8,2,2,2,3,1,2,2,2,4,2,2,6,6,2,2,1,1,2,2,6,1,4,2,2,2,2,6,1,2,2,4,2,6
,1,2,2,4,2,3,15,5,3,6,1,2,2,2,2,9,6,6,6,9,3,6,2,2,2,2,2,280,70,10,1,2,1,4,1,1,
4,1,1,1,2,1,2,1,2,1,2,1,1,1,1,1,1,2,30,4,1,6,1,2,3,3,3,3,3,3,3,3,3,3,1,1,1,21,
5,1,1,7,3,3,3,2,2,2,2,3,1,7,1,12,4,4,3,1,1,1,1,2,1,1,1,1,3,3,1,1,12,4,4,1,1,1,
1,3,2,1,1,1,1,1,1,3,3,1,7,3,1,3,1,1,21,7,1,1,1,1,1,1,1,5,3,7,7,1,1,3,1,3,1,1,1
,3,2,6,2,1,1,3,1,1,1,1,1,3,1,3,3,1,1,1,1,1,3,3,1,1,3,1,1,7,3,1,1,1,3,1,5,1,3,1
,3,3,3,3,1,3,5,1,1,3,3,1,1,1,1,3,3,1,1,5,3,1,1,4,2,6,2,2,2,2,6,2,2,2,1,1,1,1,1
,1,1,1,1,4,2,2,2,18,2,6,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,6,1,2,2,2,2,2,2,2,3,15,5
,3,1,1,3,2,2,1,5,1,2,3,3,3,3,3,3,3,1,3,3,1,3,1,3,3,1,1,3,9,3,1,6,2,2,2,2,9,1,1
,3,3,3,2,2,2,2,3,1,2,70,20,10,4,16,20,6,4,1,1,2,1,1,2,1,2,1,2,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,12,4,4,1,1,1,1,1,1,1,1,6,2,2,2,2,1,1,1,1,3,3,1,1,3,7,1,3,1,1,1,1,1
,1,1,1,1,1,1,3,1,1,3,1,7,1,3,3,3,1,1,1,1,6,2,2,1,1,6,2,1,1,2,6,2,1,1,2,2,3,1,3
,1,3,5,1,1,3,1,1,1,1,1,3,1,3,3,1,1,1,1,1,1,3,1,1,1,3,2,6,6,2,2,10,2,10,4,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,5,1,1,1,2,1,3,3,1,1,1,3,3,1,1,1,3,3,1,3
,1,1,1,3,1,1,9,3,1,1,3,2,2,3,1,3,1,3,1,3,3,3,3,3,1,1,3,1,1,3,1,3,1,1,3,1,3,1,1
,1,3,1,1,3,1,3,3,1,1,1,1,2,2,1,3,2,1,1,3,1,1,1,3,3,1,2,1,1,1,3,6,4,4,20,4,6,2,
6,4,2,2,2,2,1,1,1,1,1,1,1,1,1,1,2,6,2,1,1,2,2,2,2,2,1,1,1,1,1,1,1,3,1,1,1,3,3,
6,2,2,2,2,6,2,2,2,2,2,2,70,10,4,1,2,1,1,4,1,2,1,1,4,1,2,1,1,2,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,3,1,1,3,1,1,1,1,1,1,1,3,1,3,1,1,1,3,1,1,1,1,1,3,1,1,3,1,
3,1,1,1,1,1,1,1,1,3,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,3,1,1,1,1,3,1,
3,1,1,1,1,1,1,1,1,3,2,4,2,6,2,2,2,2,2,1,1,1,1,1,2,1,3,6,2,2,2,3,1,3,1,2,2,2,2,
2,2,2,2,2,2,20,4,6,4,1,1,2,2,1,1,1,2,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1
,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,4,1,1,1,1,1,1,1,1,1,1
,1,3,1,3,1,1,1,1,2,3,1,2,2,2,2,6,2,2,2,1,1,1,1,1,1,1,4,1,1,1,2,1,1,1,1,1,1,2,1
,1,1,1,1,1,1,1,10,3,1,1,1,1,1,2,1,2,1,1,1,2,1,1,1,1,1,1,1,1,4,4,2,1,1,1,1,1,1,
1,1,2,2,2,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1],[15444,1548,60,132,3024,
252,1512,252,12,32,52,12,28,24,8,36,4,252,36,12,4,674,4,672,252,12,48,12,12,96
,48,12,12,12,72,12,32,12,24,8,8,12,12,4,12,12,4,4,4,4,4,252,12,36,12,12,12,12,
12,4,12,4,4,4,4,4,12,4,12,12,12,4,4,4,12,12,4,4,4,252,674,2,18,4,2,18,1512,252
,72,12,72,16,8,4,72,12,16,24,8,4,12,4,4,12,72,8,8,14,2,4,12,4,4,8,4,4,4,12,12,
12,4,4,4,4,4,4,4,12,12,12,4,4,4,4,4,12,12,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4
,4,4,4,252,12,12,12,12,12,12,72,24,2,2,2,2,2,2,2,2,2,18,2,2,2,2,2,2,2,2,72,252
,252,72,12,36,12,12,12,12,8,4,4,72,8,8,8,32,12,24,12,12,12,8,4,4,8,4,8,12,8,4,
14,2,6,2,4,2,2,2,2,2,2,6,2,4,12,4,4,4,12,12,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,4,
4,4,4,4,4,4,2,252,12,72,12,12,12,4,12,4,12,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,8,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,2,12,8,4,4,4,
12,12,12,12,4,12,4,4,4,12,12,12,4,4,4,4,4,8,12,4,8,4,4,4,12,672,252,12,4,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,12,4,4,4,4,4,4,4,4,4,4,2,72,8,12,12,4,4,12,
4,4,8,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,12,4,4,12,4,12,4,12,4,4,4,4,4,4,4,4
,4,2,2,2,4,72,12,24,12,16,12,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,4,2,2,2,2,4,12,4,8,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,72,12,12,12,2,2,2,2,2,2,2,2,2,2,2,2,12,4,12,4,4,4,4,4,4,4,4,2,2,8,4,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,4,12,4,4,2,2,4,2,2,2,
2,2,2,2,2,2,2,2,2,2,8,4,4,252,12,4,4,2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,12,4,4,4,4,2,2,2,2,2,2,2,2,12,12,12,2,4,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,4,2,2,12,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,72,4,2,2,2,2,2,2,2,2,2,8
,2,2,2,2,2,12,2,4,2,2],[12870,1278,30,70,2700,378,72,1278,210,30,30,30,6,14,14
,6,6,18,6,6,210,18,10,2,560,560,210,10,24,6,6,132,28,10,30,6,4,60,10,30,10,14,
2,6,6,2,30,6,6,6,6,6,2,6,6,2,6,6,6,6,6,2,210,10,18,6,6,10,6,6,2,10,2,2,2,2,6,2
,2,2,2,2,2,10,2,2,2,10,10,10,2,2,2,2,6,6,6,2,2,2,2,2,2,378,72,72,560,8,8,1278,
210,132,24,30,30,6,12,6,132,24,30,12,12,12,2,2,60,10,8,8,12,4,2,2,2,6,2,2,6,6,
4,60,4,24,4,4,50,8,30,2,6,6,6,6,6,6,2,6,2,2,6,6,6,2,10,10,10,2,2,2,2,2,2,2,2,2
,2,10,10,10,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2
,2,2,2,2,210,6,10,50,6,6,24,8,4,4,30,4,60,12,8,8,8,60,12,12,210,210,60,10,18,
10,10,6,6,4,2,2,60,4,4,4,4,30,10,14,10,6,6,12,4,2,6,2,2,4,2,4,4,12,12,2,8,2,6,
2,2,2,2,4,4,4,10,4,2,2,24,4,4,4,4,4,4,4,4,4,72,4,50,8,2,2,2,6,2,6,6,10,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10,2,2,2,2,2
,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,210,6,132,24,30,30,30,12,10,10,6,2,6,2,2,2,30,6,6,12,2,2,2,2,4,12
,8,4,4,4,8,30,6,6,6,6,12,6,2,6,2,2,2,30,12,6,6,6,12,10,10,6,2,6,2,2,2,6,6,6,6,
10,2,2,2,2,2,2,2,2,4,2,2,2,2,4,10,2,4,2,6,2,4,4,4,4,4,4,4,4,4,4,4,4,2,24,8,4,
10,560,210,10,2,8,2,2,12,2,2,12,6,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,60,4,10,6,2,2,2,6,24,24,4,12,4,4,8,
2,2,6,2,6,6,2,2,2,2,2,2,12,4,2,4,12,2,2,4,4,4,4,4,8,10,10,2,2,10,4,2,2,2,2,2,2
,2,6,2,6,10,2,4,2,10,2,2,2,2,6,6,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,6,2,2,4,2,2,2
,4,4,4,6,2,2,2,4,4,2,2,2,2,2,24,30,4,4,2,60,10,12,6,8,6,8,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,30,6,12,12,6,6,12,12,2,2,2,2,2,2,4,4,4,4,4,4,4,4,2,60,10,10,4,4,50,
24,8,2,4,10,2,6,10,2,2,2,2,2,6,6,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,6,12,4,2,2,2,8,6,4,4,2,2,2,4,4,2,10,2,10,2,4,6,2,2,4,6,6,2,4,2,2,4,4,4,2,4,4,
4,2,4,2,2,210,10,2,12,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,6,2,2,4,2,
12,4,4,8,10,2,2,2,2,6,6,6,2,2,2,2,2,2,2,2,4,4,2,4,2,2,2,2,10,6,8,6,2,6,2,2,2,2
,2,2,2,4,4,4,2,24,4,2,2,2,2,2,2,2,2,2,2,2,10,6,2,2,2,4,2,6,4,4,2,2,2,4,2,2,2,
60,2,2,2,2,4,6,2,4,2,2,12,2,4,2,10,4,2,4,2,2],[12870,1950,30,230,2565,252,18,
1260,672,10,100,230,30,30,12,12,80,30,2,350,30,10,2,560,813,252,5,50,81,6,6,24
,2,6,249,29,50,6,24,6,2,60,10,100,230,12,12,12,12,12,10,30,30,30,80,2,2,2,2,2,
30,350,100,30,30,30,10,12,12,12,10,2,2,4,4,2,2,2,2,2,10,2,10,100,10,2,2,2,2,4,
30,12,12,2,2,4,252,18,18,560,40,40,1260,210,75,6,10,6,1,75,81,6,1,5,12,29,3,7,
14,2,6,249,5,5,5,50,81,23,3,3,14,14,29,29,1,6,6,6,6,6,24,7,2,2,6,12,2,75,7,1,2
,3,23,1,2,16,4,20,2,10,80,2,30,30,30,12,12,12,2,2,2,10,10,10,4,4,4,2,2,2,2,2,2
,2,2,2,2,10,100,10,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,30,30,30,12,12,12,
12,12,12,12,12,2,2,2,2,2,2,10,2,2,2,2,2,4,30,2,2,2,12,12,2,2,4,4,2,2,4,2,2,4,2
,4,2,252,6,24,2,6,6,50,72,6,12,6,6,18,6,2,2,6,2,2,24,6,6,2,140,12,12,40,12,60,
3,3,350,210,75,50,30,10,10,14,6,6,7,2,2,2,2,1,2,1,75,3,3,3,3,23,7,7,7,7,1,1,1,
1,1,1,2,2,100,50,12,10,6,14,2,7,2,2,2,1,1,29,7,5,1,3,6,23,3,3,3,3,3,3,3,81,5,5
,5,5,5,1,1,1,1,1,6,6,6,6,6,29,29,7,7,12,14,2,10,1,23,3,3,3,1,2,7,1,1,1,3,3,3,
23,1,1,1,7,1,2,23,3,3,3,1,1,1,7,1,2,1,1,7,1,3,1,1,7,1,3,1,1,1,1,18,4,20,2,4,8,
2,8,2,4,30,2,12,10,2,2,2,10,10,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10,4,2,2,2,2
,2,2,12,2,2,2,4,30,2,2,2,2,2,2,2,2,12,12,12,12,12,2,4,2,2,2,4,2,2,2,2,2,2,2,4,
4,2,2,2,2,2,2,4,2,2,2,4,2,2,2,4,2,2,2,2,2,210,14,75,6,6,6,6,1,72,50,6,6,12,12,
14,6,24,2,2,2,2,2,2,2,2,2,2,6,6,6,12,2,24,6,2,2,12,6,6,2,14,24,2,2,2,2,2,2,6,6
,6,2,12,2,2,6,2,2,12,40,12,16,1,3,4,1,1,2,10,30,1,3,12,6,6,14,2,2,2,10,1,5,1,3
,100,50,12,12,6,6,6,6,6,30,14,14,14,4,10,2,2,2,2,2,2,2,2,2,7,3,1,2,1,10,2,1,1,
5,5,5,29,7,1,1,1,3,3,3,3,6,1,1,3,4,1,3,3,3,3,3,3,3,3,3,3,3,23,1,1,1,7,7,7,1,1,
1,1,1,1,1,1,1,1,1,2,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,7,7,1,1,1,1,1,3,3,3,
3,3,3,1,1,1,1,1,3,3,3,7,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,7,1,1,1,1,1,1,3,3,3,7,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,1,1,1,1,2,1,1,1,1,1,1,1,6,18,6,6,2,6,6,2
,10,560,210,20,4,2,8,2,8,4,2,4,4,4,3,10,4,2,2,2,2,2,2,2,2,12,2,2,2,2,2,4,2,2,4
,4,2,2,4,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,75,6,7,2,2,2,2,2,1,1,50,6,6,6,14,6,12
,2,23,3,6,2,2,2,6,1,1,23,3,6,2,6,2,2,1,1,14,6,6,24,14,2,2,2,2,2,2,2,2,2,12,12,
6,6,6,2,7,2,2,1,6,2,6,2,2,12,6,2,2,2,2,2,2,2,1,2,2,2,2,12,4,1,2,2,2,2,2,10,10,
2,2,1,1,10,1,12,2,6,10,2,1,10,4,2,2,2,2,1,1,5,1,3,4,30,12,12,14,6,6,6,6,6,2,2,
3,1,2,2,2,1,2,4,2,1,1,3,1,1,1,1,1,1,1,1,1,3,1,3,4,2,1,1,1,3,3,4,1,2,1,1,1,1,1,
1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,
3,3,3,3,3,3,7,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,18,6,2,2,6,6,2,6,6,6,2,6,2,6,6,2,2,6
,2,2,2,2,6,2,2,140,50,12,6,40,14,8,4,2,4,4,4,3,1,1,2,2,4,2,2,2,2,2,2,2,2,10,1,
1,6,1,3,2,23,6,3,3,3,2,2,2,2,2,2,7,2,2,2,1,1,1,1,1,2,2,1,12,6,2,2,6,2,14,6,6,6
,7,1,2,2,2,3,2,1,1,1,3,2,2,2,7,1,2,1,3,2,2,2,1,7,2,1,1,1,2,2,2,2,2,2,1,2,1,1,
60,10,10,1,1,20,6,2,2,2,2,2,2,2,2,2,10,2,1,10,2,2,2,1,12,2,6,1,1,2,2,1,1,1,4,1
,4,1,2,2,2,4,2,2,2,1,1,3,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,6,2,2,2,6,2,6,6,6,2,2,2,6,2
,2,2,6,2,2,6,2,2,2,2,2,2,2,2,2,2,2,12,6,40,14,12,6,4,1,2,10,2,1,1,10,2,1,1,2,3
,1,2,4,1,1,1,3,2,1,1,1,3,2,1,1,1,1,6,1,1,1,1,2,2,2,2,2,2,2,3,3,3,7,2,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,4,4,2,1,2,210,20,6,2,4,2,8,2,2,8,2,
2,2,4,2,2,2,2,2,4,2,1,1,1,2,2,2,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,6,6,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,12,6,3,1,1,2,10,2,2,1,4,2,1,4,2,1,3,2,1,1,2,2,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,50,6,14,8,4,2,2,2,2,4,4,2,2,4,2,2,1,1,1,
1,1,1,1,1,2,2,1,1,1,1,1,6,2,2,2,2,2,4,2,2,2,2,1,1,1,1,1,1,1,1,1,10,6,14,6,4,2,
1,1,1,1,1,1,1,1,1,1,1,1,6,2,2,2,2,2,2,2,2,2,2,1,60,2,6,1,1,1,1,1,1,1,1,2,2,2,2
,2,2,16,4,1,3,1,2,4,3,1,1,10,1,4,2,1,2,1,1,1,1],[12012,504,32,180,1680,294,6,
24,504,14,60,60,60,8,18,6,8,14,18,12,112,12,112,14,72,8,30,2,12,6,120,6,8,2,60
,60,8,4,6,4,6,14,18,6,6,4,4,4,6,4,4,2,4,12,4,6,6,4,4,4,4,2,294,24,24,6,6,6,6,6
,112,24,2,12,24,2,504,14,120,8,60,6,2,6,2,120,8,6,2,24,24,8,4,6,6,2,2,8,2,8,2,
40,4,60,6,2,4,2,4,2,2,2,4,6,6,6,4,2,6,4,2,2,4,4,4,4,4,6,2,2,2,2,2,2,14,30,2,6,
6,6,6,6,12,12,40,8,8,4,2,2,2,2,2,2,6,2,2,24,4,24,24,4,2,4,4,14,14,18,6,8,4,4,2
,4,2,2,2,2,8,4,2,2,60,6,4,2,24,6,4,2,8,2,4,2,4,2,12,24,6,6,6,40,4,12,4,12,4,4,
4,4,2,2,2,4,2,4,2,6,2,2,2,2,2,2,2,2,14,6,6,6,2,6,2,120,8,6,6,6,2,2,2,12,4,2,2,
2,2,2,4,6,2,6,6,2,2,2,2,24,4,4,4,4,4,4,4,60,6,6,2,60,6,2,4,2,6,6,6,6,4,2,4,2,6
,2,4,2,12,12,2,8,2,2,2,12,6,6,6,4,2,2,2,112,14,12,2,2,4,24,4,12,4,4,2,2,2,2,2,
2,8,4,2,2,2,2,2,2,2,2,2,6,2,6,8,8,2,2,24,6,4,2,6,6,2,2,2,2,2,2,2,2,2,4,6,4,4,4
,4,2,4,2,2,4,2,4,2,2,2,6,6,2,2,2,2,2,2,6,2,2,12,2,8,2,6,2,4,2,2,2,4,2,2,2,24,6
,2,2,24,4,4,4,4,4,2,60,6,2,6,2,4,4,2,2,2,2,2,2,2,6,2,2,40,8,4,2,4,4,4,4,2,2,2,
2,6,2,2,2,2,2,4,2,24,6,4,2,4,2,4,4,4,2,2,4,2,6,6,2,2,2,12,4,2,2,6,2,2,2,14,2,2
,2,2,12,4,4,2,4,6,2,2,2,2,2,4,2,4,2,4,2,2,2,2,2,2,12,4,6,2,2,2,2,2,2,2,24,6,4,
2,6,2,2,2,2,2,8,2,4,2,2,2,2,2,2,6,2,4,4,2,2,2,4,4,2,4,2,2,2,2,12,2,4,4,6,2,2,2
,2,2,2,2,4,2,2,2],[12012,504,32,180,1680,294,6,24,504,14,60,60,60,8,18,6,8,14,
18,12,112,12,112,14,72,8,30,2,12,6,120,6,8,2,60,60,8,4,6,4,6,14,18,6,6,4,4,4,6
,4,4,2,4,12,4,6,6,4,4,4,4,2,294,24,24,6,6,6,6,6,112,24,2,12,24,2,504,14,120,8,
60,6,2,6,2,120,8,6,2,24,24,8,4,6,6,2,2,8,2,8,2,40,4,60,6,2,4,2,4,2,2,2,4,6,6,6
,4,2,6,4,2,2,4,4,4,4,4,6,2,2,2,2,2,2,14,30,2,6,6,6,6,6,12,12,40,8,8,4,2,2,2,2,
2,2,6,2,2,24,4,24,24,4,2,4,4,14,14,18,6,8,4,4,2,4,2,2,2,2,8,4,2,2,60,6,4,2,24,
6,4,2,8,2,4,2,4,2,12,24,6,6,6,40,4,12,4,12,4,4,4,4,2,2,2,4,2,4,2,6,2,2,2,2,2,2
,2,2,14,6,6,2,6,2,6,120,8,6,6,6,2,2,2,12,4,2,2,2,2,2,4,6,2,6,6,2,2,2,2,24,4,4,
4,4,4,4,4,60,6,6,2,60,6,2,4,2,6,6,6,6,4,2,4,2,6,2,4,2,12,12,2,8,2,2,2,12,6,6,6
,4,2,2,2,112,14,12,2,2,4,24,4,12,4,4,2,2,2,2,2,2,8,4,2,2,2,2,2,2,2,2,2,6,2,6,8
,8,2,2,24,6,4,2,6,6,2,2,2,2,2,2,2,2,2,4,6,4,4,4,4,2,4,2,2,4,2,4,2,2,2,6,6,2,2,
2,2,2,2,6,2,2,12,2,8,2,6,2,4,2,2,2,4,2,2,2,24,6,2,2,24,4,4,4,4,4,2,60,6,2,6,2,
4,4,2,2,2,2,2,2,2,6,2,2,40,8,4,2,4,4,4,4,2,2,2,2,6,2,2,2,2,2,4,2,24,6,4,2,4,2,
4,4,4,2,2,4,2,6,6,2,2,2,12,4,2,2,2,6,2,2,14,2,2,2,2,12,4,4,2,4,6,2,2,2,2,2,4,2
,4,2,4,2,2,2,2,2,2,12,4,6,2,2,2,2,2,2,2,24,6,4,2,6,2,2,2,2,2,8,2,4,2,2,2,2,2,2
,6,2,4,4,2,2,2,4,4,2,4,2,2,2,2,12,2,4,4,6,2,2,2,2,2,2,2,4,2,2,2],[12012,1764,
20,220,1680,294,6,24,504,644,60,80,220,20,20,8,8,60,24,4,224,24,60,4,112,12,
672,294,10,80,2,8,30,2,12,6,240,16,10,30,2,4,2,80,220,8,8,8,8,8,60,20,20,20,60
,4,4,4,4,24,224,80,24,24,24,8,8,8,60,12,12,4,4,4,4,4,60,80,4,4,4,4,12,24,8,8,
294,24,24,6,6,6,6,6,112,24,12,24,504,14,120,8,60,6,2,6,2,120,80,6,2,16,8,6,2,2
,240,10,80,32,6,6,16,16,2,2,2,2,2,2,6,30,8,2,4,2,120,6,8,2,32,2,6,40,4,60,60,
24,20,20,8,8,8,4,4,4,60,60,12,12,12,4,4,4,4,4,4,4,4,60,80,12,12,12,12,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,24,24,24,8,8,8,8,8,8,8,8,12,24,4,4,4,8,8,12,12,4,4,294
,8,30,2,6,6,6,6,6,12,12,10,90,2,2,8,8,24,12,4,4,6,2,2,2,2,2,2,2,2,2,30,4,2,60,
24,4,12,24,4,24,24,4,4,4,224,14,120,10,24,60,6,2,8,6,6,8,4,2,2,2,4,2,2,2,120,
32,6,6,8,8,8,8,2,2,2,2,2,2,80,10,8,2,6,8,4,4,2,2,2,2,16,8,2,2,32,80,2,2,2,2,6,
2,2,2,2,16,16,8,8,2,6,32,2,6,8,2,2,32,2,2,6,8,2,32,2,2,6,8,2,8,2,8,2,12,24,6,6
,6,40,4,12,4,12,4,20,4,8,60,12,12,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,12,24,4,4,4,4,
4,4,4,4,8,8,8,8,8,12,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,4,12,4,4,4,14,6,2,2,2,2,2
,120,8,6,6,6,2,2,2,90,10,2,2,2,2,6,8,30,4,4,4,2,2,2,2,2,2,2,6,12,2,2,2,6,2,30,
6,2,4,2,6,30,2,2,2,2,4,4,2,6,6,2,2,24,4,24,24,4,4,4,4,4,4,4,4,60,6,24,8,2,2,6,
4,2,60,6,2,80,10,8,8,2,2,2,2,2,24,6,6,6,6,12,2,2,2,2,4,4,8,4,2,2,60,6,4,2,16,8
,2,2,12,6,2,32,6,2,2,2,2,2,2,8,8,8,2,8,8,2,2,8,2,8,2,8,2,12,12,24,8,6,2,2,2,2,
12,6,6,6,12,4,6,2,2,2,2,112,14,12,2,2,4,40,4,24,4,12,4,12,4,4,8,4,4,4,4,12,4,4
,4,4,4,4,4,4,120,8,6,8,2,4,2,2,2,2,2,2,10,2,2,2,6,2,2,2,2,2,2,2,6,2,32,8,2,6,6
,2,2,4,6,2,2,32,8,2,2,2,2,6,4,2,2,2,6,6,2,2,6,6,30,6,2,2,2,2,2,2,2,2,4,2,8,4,2
,2,6,6,2,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,24,4,4,4,4,4,4,6,4,4,4,60
,4,6,2,2,2,8,4,2,2,60,12,6,6,4,4,4,4,2,2,2,2,2,2,6,12,24,8,8,2,2,2,2,6,2,2,2,2
,2,4,4,4,2,2,4,2,6,12,4,2,2,2,12,6,2,2,2,4,6,12,2,2,2,4,4,2,8,2,12,12,12,24,8,
2,2,8,2,6,2,12,4,6,2,2,2,2,12,4,4,2,2,2,2,4,2,60,10,4,2,12,2,2,4,24,6,24,4,4,4
,4,4,12,4,4,60,6,2,6,2,32,8,2,2,2,2,2,2,2,6,8,4,4,4,2,2,2,2,2,2,2,2,6,6,6,2,2,
2,2,6,6,2,2,6,2,2,2,2,2,2,2,2,8,4,2,2,8,4,2,2,8,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,4,6,6,2,2,40,8,4,2,4,4,4,4,4,8,4,2,2,4,2,2,4,2,4,2,12,6,2,2,2,2,2,2,
2,4,4,4,4,2,4,4,2,2,12,8,2,6,2,6,6,2,2,12,4,2,2,2,2,2,2,4,4,2,2,4,2,2,2,2,2,4,
2,24,6,4,2,24,6,24,6,4,4,2,2,24,4,4,2,4,4,4,4,60,4,6,2,2,2,4,2,2,12,6,6,2,2,2,
2,2,2,6,2,8,4,2,2,2,2,2,2,2,2,2,2,2,2,2,12,4,6,2,2,2,2,6,2,2,2,2,2,14,2,2,2,2,
40,8,4,2,12,4,4,2,12,4,4,2,4,4,4,4,2,6,6,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,4,2,24,6,4,2,4,4,2,2,4,2,4,2,4,2,4,4,4,2,12,6,2,2,2,4,2,2,2,4,2,2,4,2,2,2,2
,12,4,6,2,2,2,2,2,2,2,2,2,2,2,2,10,2,2,2,2,2,24,6,4,2,6,12,4,4,2,4,6,2,2,2,2,2
,2,2,2,2,2,2,2,2,4,2,8,2,4,2,4,4,2,2,4,2,2,12,4,2,2,2,2,2,6,2,24,6,4,2,6,2,2,6
,4,4,2,2,4,4,2,2,2,2,2,4,8,2,4,2,4,2,4,4,2,2,4,2,2,2,2,6,2,4,4,2,2,2,2,2,2,12,
2,4,4,6,2,4,2,4,2,2,2,2,2,12,4,2,4,6,2,2,2,2,2,2,2,2,2,2,4,2,2,4,2,2,2],[10296
,1584,200,1620,252,36,576,588,40,80,200,60,24,224,24,40,176,6,624,252,20,72,12
,24,6,228,20,20,24,2,6,80,200,40,60,24,224,80,24,24,24,40,12,12,40,80,12,24,
252,36,36,176,24,6,24,576,42,96,12,40,12,6,4,96,72,12,4,6,20,8,6,228,20,72,32,
6,6,20,20,12,24,8,6,2,96,6,8,2,32,4,2,6,4,2,35,2,40,60,24,40,40,12,12,12,40,80
,12,12,12,12,24,24,24,12,24,12,12,252,12,24,6,6,20,90,6,12,12,36,6,2,2,24,2,72
,16,8,6,16,8,16,24,8,4,4,6,3,3,224,42,96,20,24,40,6,12,6,6,8,2,2,96,32,6,6,8,8
,8,8,4,2,2,80,20,6,8,2,20,8,4,32,72,12,20,20,8,8,6,6,32,2,6,8,4,32,6,8,2,32,6,
8,4,2,8,4,4,8,6,36,2,2,2,35,2,3,9,2,9,2,3,40,12,12,12,24,12,12,12,12,1,42,6,96
,12,12,12,12,4,90,20,6,6,6,12,24,2,2,2,2,6,12,6,24,12,6,2,6,24,2,6,2,2,6,12,2,
2,16,8,16,24,4,8,4,4,4,4,4,4,1,3,2,1,1,2,40,6,24,4,6,40,4,6,4,80,20,24,6,6,6,6
,12,8,4,2,40,6,20,8,12,6,32,6,8,8,8,2,4,4,4,4,8,8,4,4,4,4,8,4,4,8,4,8,4,4,6,6,
36,12,6,6,2,2,176,42,6,2,35,2,3,16,2,1,1,9,1,2,9,3,2,1,3,3,3,1,1,3,12,1,96,12,
6,8,2,2,2,2,20,6,12,6,32,12,2,6,6,2,12,4,32,12,12,2,2,6,6,12,6,24,6,2,2,6,6,2,
8,2,12,6,2,12,6,2,2,6,2,2,2,2,2,2,2,2,2,16,4,4,8,4,4,4,2,2,2,2,2,1,2,2,2,40,6,
40,12,6,6,6,12,24,6,4,6,12,4,12,6,4,6,12,4,4,8,4,4,4,4,6,6,6,2,2,1,36,12,12,12
,6,2,6,2,2,2,72,20,8,6,2,24,6,16,2,1,1,2,4,1,4,2,1,9,3,2,1,3,1,1,3,1,1,1,1,3,3
,1,1,1,40,6,4,4,6,4,32,12,6,8,2,2,2,2,2,4,6,2,6,6,6,6,12,2,6,8,2,4,4,8,4,2,8,2
,2,2,2,2,2,2,2,4,6,2,2,35,12,2,1,2,2,2,2,2,12,6,4,6,2,1,12,12,6,12,6,2,2,2,2,2
,2,2,2,16,6,8,16,6,24,6,4,8,16,2,4,1,4,2,1,4,2,1,1,3,1,1,1,2,1,40,6,4,12,6,6,4
,4,6,8,2,4,4,4,4,4,2,6,2,2,42,35,12,2,3,9,2,2,9,2,2,3,1,2,2,1,1,2,2,1,1,4,12,6
,6,2,2,2,2,2,16,6,4,4,8,4,4,4,4,2,1,3,2,2,12,6,4,6,2,2,2,2,20,16,6,2,1,6,1,9,3
,2,2,1,3,1,3,1,3,1,1,1,2,1,1,4,6,4,2,4,1,12,2,2,2,6,2,2,2,1,6,16,6,2,6,6,1,4,2
,4,2,1,3,1,1,1,1,1,1,1,4,2,2,12,2,2,1,2,2,2,2,6,1,6,4,2,1,6,2,2,6,1,1,2,1,2,4,
2,6,2,2,2,3,6,1,2,2,2,1,1,2,3,1,1,2,2,1,2,1,2,1,2,1,1],[10296,576,80,136,1260,
45,18,9,504,44,24,40,16,16,24,8,28,8,8,84,28,40,176,6,168,43,40,3,40,7,3,7,6,3
,3,6,36,28,1,9,9,5,1,2,6,20,16,4,4,4,8,8,8,4,4,42,2,22,10,6,6,10,6,2,4,8,6,40,
20,4,8,12,4,4,42,3,6,9,3,176,16,16,6,16,16,504,44,6,9,2,3,5,2,4,2,6,9,2,3,10,5
,4,8,6,1,1,1,3,6,16,4,8,1,12,2,10,6,3,1,10,6,4,5,3,3,5,1,1,1,7,4,3,1,3,3,3,1,2
,36,9,4,3,1,4,12,4,3,7,1,4,2,5,5,2,4,2,4,20,8,2,4,4,4,2,4,2,8,4,4,2,4,2,2,6,2,
4,4,4,2,2,4,6,6,2,2,12,6,2,42,3,6,6,3,2,3,1,1,4,4,1,1,3,3,1,1,4,4,1,3,1,3,6,3,
1,2,12,16,12,6,4,4,4,16,4,16,4,4,4,4,4,6,3,3,42,42,6,2,22,6,6,2,3,2,2,2,5,4,3,
1,1,6,10,2,2,4,2,3,1,2,6,2,5,3,1,1,4,3,1,1,1,20,16,4,8,2,2,1,1,2,2,4,1,1,4,2,4
,4,2,4,4,4,4,2,3,1,1,1,1,3,1,3,1,2,2,3,2,3,1,1,4,4,3,1,2,2,4,1,1,3,4,12,2,3,1,
7,2,1,1,4,4,3,3,1,2,4,2,1,1,4,2,2,1,4,2,2,1,6,3,2,2,2,5,5,1,1,3,3,3,3,3,3,1,1,
2,4,4,2,2,2,2,2,4,2,2,2,2,6,2,1,42,6,6,9,3,3,3,2,3,5,2,2,2,4,4,1,3,1,1,1,1,3,1
,2,2,4,2,1,1,2,1,1,1,3,2,1,6,3,3,1,2,1,1,2,3,1,1,1,3,1,1,2,2,1,1,1,2,3,3,6,6,1
,1,4,4,4,16,4,4,4,4,4,4,2,2,4,2,2,2,2,2,2,4,1,3,2,1,1,2,2,2,2,2,4,4,2,2,4,2,2,
4,4,4,2,2,6,6,2,2,4,2,1,4,2,2,2,2,1,20,8,2,2,2,1,1,6,6,2,4,4,2,2,1,3,1,3,1,1,1
,2,2,2,2,1,1,2,2,2,4,2,2,4,2,2,2,2,2,2,4,1,1,4,2,2,1,2,2,2,2,2,1,4,2,2,1,2,2,2
,2,6,6,3,3,3,1,1,1,1,2,168,43,2,2,1,5,5,1,1,4,4,1,1,3,3,1,3,3,3,1,1,1,3,1,1,1,
1,1,1,1,1,1,3,2,1,6,2,3,2,2,5,3,1,1,1,1,1,4,2,3,2,1,4,3,1,3,2,2,1,3,2,3,3,2,4,
3,3,1,2,3,1,3,1,6,2,6,6,3,3,1,1,1,1,1,2,2,1,1,1,1,1,2,2,2,1,1,3,3,1,2,2,1,3,1,
1,3,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,2,2,2,2,2,2,2,4,2,2,2,2,2,2,1,
2,2,2,2,4,2,2,4,4,2,2,2,2,2,2,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,4,2,2,
2,2,2,2,6,6,6,2,2,1,3,3,3,3,2,1,1,1,1,1,1,1,1,6,1,10,5,2,2,1,16,12,7,4,4,1,1,2
,2,2,1,2,2,2,1,3,3,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,2,4,2,2,2,2,2,2,4
,2,3,1,3,3,1,1,2,2,1,1,1,1,1,2,1,1,6,2,2,3,1,2,2,2,2,2,1,1,2,2,2,2,2,2,2,2,1,1
,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,6,2,2,1,3,4,1,2,2,2,2,2,2,2,2,2,6,2,1,3,3,2
,3,3,2,2,1,1,1,1,1,1,1,1,1,1,1,2,4,3,12,7,4,4,1,2,2,4,1,3,4,4,2,1,1,2,2,2,1,2,
2,2,1,1,1,1,1,1,1,2,1,2,4,2,2,2,2,2,2,2,2,2,2,2,2,1,1,2,2,2,2,2,2,2,2,2,2,1,3,
3,2,42,1,3,1,4,1,3,1,1,2,3,1,1,2,1,1,1,2,2,1,1,2,2,1,1,2,3,2,2,2,1,1,1,1,1,1,1
,4,1,2,3,2,2,1,1,2,1,2,1,2,1,2,2,2,1,3,2,1,2,2,2,2,3,3,1,1,1,1,2,4,1,2,1,3,6,1
,3,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,2,2,2,2,1,2,1,1,3,1,1,1,3,3,1,1,1
,1,1,2,1,2,3,2,6,1,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,3,1,1,1,1,1,1,1,1,6,1
,2,2,1,1,1,2,1,2,2,1,1,1,1,1,4,2,1,2,1,1,2,3,2,1,2,2,2,1,1,1,3,1,1,2,1,1,2,1,1
,1,2,1,1],[8580,1516,60,84,2520,420,12,1512,420,60,64,68,12,28,24,8,12,4,420,
12,60,4,840,840,420,40,60,24,12,12,4,4,184,24,60,4,4,12,180,60,64,60,24,8,8,60
,12,4,12,4,4,4,4,4,4,420,60,12,4,4,60,12,12,4,60,4,4,4,4,4,60,4,60,60,60,4,4,4
,4,12,4,4,4,420,12,12,12,12,840,24,16,24,16,1512,420,180,12,60,180,12,12,8,4,4
,180,24,16,8,60,16,12,12,4,12,4,4,12,4,4,4,4,180,4,12,12,12,12,4,60,60,4,4,8,4
,4,4,60,60,60,4,4,4,4,4,4,4,60,60,60,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,60,4
,4,4,4,4,4,4,4,4,420,12,4,4,12,4,60,60,12,12,12,12,12,4,4,4,4,4,4,4,12,4,4,180
,12,12,4,12,8,4,24,8,8,12,16,4,4,180,420,420,180,60,12,60,60,4,12,12,4,4,4,4,
180,12,4,4,12,4,4,4,64,60,24,60,12,4,4,4,4,4,4,4,12,12,4,4,4,12,12,4,8,4,4,4,
60,12,12,4,4,12,4,4,12,12,12,4,4,4,4,12,12,12,4,60,4,4,4,60,4,4,4,60,60,4,4,4,
4,4,4,4,4,60,60,4,4,4,4,4,4,4,4,4,4,4,4,420,4,12,4,180,12,60,60,12,4,12,4,12,4
,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,8,12,12,12,4,4,4,4,4,12,12,4,60,8,4,4,4,60
,60,60,12,4,12,4,4,4,4,4,60,4,4,4,4,4,4,4,60,4,4,4,12,4,4,4,4,4,4,12,4,4,4,4,4
,4,4,12,12,4,4,4,12,4,4,12,4,60,840,420,60,4,12,4,60,4,4,4,4,4,4,4,4,4,4,180,
12,4,4,60,12,4,4,12,4,12,12,12,4,12,12,12,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,12,4,
60,60,4,4,60,4,60,4,60,4,4,4,4,4,4,4,4,4,12,12,4,4,4,12,4,4,4,4,4,4,180,60,12,
12,24,16,4,12,4,4,4,4,60,12,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,180,60,60
,60,12,60,4,60,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,4,12,8,4,12,4,12,12,4,4,4,12,4,
4,60,4,60,4,4,4,4,12,4,4,4,4,420,60,12,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,12,60,
4,4,4,4,12,4,4,60,12,12,4,4,4,4,4,12,4,4,60,12,4,4,4,12,12,4,4,180,4,4,4,4,12,
12,4,4,60,4,12,4],[8580,1656,140,2520,420,12,1512,546,60,100,140,30,18,462,18,
60,840,896,420,80,48,12,12,2,240,8,80,12,2,180,60,100,140,60,30,18,462,100,18,
18,18,60,60,6,6,60,60,100,60,6,18,6,420,12,12,12,12,840,36,36,1512,420,180,12,
60,180,48,8,4,12,240,80,48,24,12,12,8,8,12,4,2,180,4,24,24,4,60,60,30,18,60,60
,60,6,6,6,60,100,60,6,6,6,6,18,18,18,60,6,18,6,6,6,6,6,420,12,12,12,2,2,80,80,
12,12,12,2,2,2,2,12,2,12,210,12,6,12,6,12,36,6,2,2,180,462,420,180,80,18,60,60
,12,12,4,2,180,24,4,4,4,4,100,80,60,12,4,2,8,4,24,48,8,8,4,4,12,60,24,4,24,4,
24,4,4,4,12,12,12,4,60,6,6,60,60,60,6,6,60,60,6,6,18,6,6,6,6,6,6,6,420,12,12,
180,12,80,80,12,12,12,2,2,2,2,2,12,2,12,12,2,2,12,6,12,36,2,6,2,2,2,2,2,24,4,
60,18,12,60,100,80,18,12,12,12,6,60,4,2,60,8,4,6,24,4,4,4,4,4,4,4,4,6,12,12,2,
12,2,2,2,12,2,60,840,420,60,12,6,6,60,6,6,6,6,6,6,180,12,4,2,80,12,2,12,24,12,
2,24,12,2,12,12,12,2,4,2,2,12,2,2,6,2,2,2,12,4,60,60,60,60,60,6,6,18,12,6,6,6,
4,12,12,12,2,2,2,2,2,2,2,210,80,6,36,12,12,2,2,6,6,60,24,12,4,2,2,2,12,4,2,4,2
,4,2,2,2,12,2,2,180,60,60,60,12,60,60,6,6,6,12,12,2,2,2,2,2,2,12,6,12,36,12,2,
6,12,2,2,2,60,60,6,4,2,12,2,6,4,420,60,12,6,2,6,2,6,2,2,12,2,2,6,2,2,2,2,12,60
,6,6,12,2,2,80,12,12,6,2,2,12,6,2,60,12,12,2,2,12,12,2,2,180,2,2,24,4,4,60,6,
12,2],[7722,774,30,66,1512,126,756,126,6,16,26,6,14,12,4,18,2,140,24,26,6,337,
2,336,126,6,24,6,6,48,24,6,6,6,36,6,16,6,12,4,4,6,6,2,6,6,2,2,2,2,2,126,6,18,6
,6,6,6,6,2,6,2,2,2,2,2,6,2,26,16,6,6,6,6,2,6,12,8,4,4,4,2,2,2,126,337,1,9,2,1,
9,756,126,36,6,36,8,4,2,36,6,8,12,4,2,6,2,2,6,48,6,8,2,8,8,2,6,4,7,1,2,6,2,2,4
,2,2,2,6,16,6,6,2,4,4,2,4,2,2,2,2,2,6,6,6,2,2,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,2,
6,2,2,2,2,2,6,6,4,4,4,6,2,2,2,4,2,2,12,6,6,2,4,2,2,2,2,126,6,6,6,6,6,6,37,9,13
,1,2,1,1,1,1,1,1,1,1,1,9,1,1,1,1,1,5,1,5,36,126,126,36,6,18,6,6,6,6,4,2,2,36,4
,4,4,16,6,12,6,6,6,4,2,2,4,2,4,6,8,2,2,6,4,2,8,4,2,8,4,2,2,4,7,1,3,1,2,1,1,1,1
,1,1,3,1,2,6,2,2,2,6,6,2,2,2,2,2,2,2,2,6,6,2,2,2,2,2,2,2,2,4,2,6,2,4,2,2,2,2,2
,4,2,2,2,2,4,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,1,126,6,2,36,6,6,6,2,6,2,6,2,2,6,6,
2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,9,1,1,1,1,1,1,1,1,1,1,5,1,1,1,1,1,1,
1,1,1,1,1,1,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,1,6,4,2,2,2,6,6,6,6,2,6,2,2,2,6,
6,6,2,2,2,2,2,4,16,6,4,2,6,6,4,2,4,8,4,4,4,4,2,4,2,2,2,6,336,126,7,1,3,1,1,1,1
,1,1,1,1,3,1,2,1,1,1,1,1,1,3,1,1,1,1,3,1,1,3,6,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2
,2,2,2,2,2,2,2,2,1,36,4,6,6,2,2,6,2,6,6,2,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,1,1,1,1,1,1,1,4,1,1,1,1,1,1,1,6,6,2,2,6,
2,6,2,6,2,2,2,2,2,2,2,4,2,2,6,6,2,2,2,2,4,2,2,4,2,2,2,2,2,2,1,2,36,6,12,6,8,6,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,3,1,1,
3,1,1,1,2,2,2,2,2,2,2,1,6,6,2,2,2,4,4,4,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,36,6,6,6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,6,2,6,2,2,2,2,2,2,4,2,2,2
,2,2,2,2,2,2,2,1,8,6,4,2,1,1,1,1,1,1,4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,2,1,6,2,6,2,2,4,2,1,1,2,2,2,2,2,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,2,2,126,6,2,2,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,4,2,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,6,2,2,2,2,2,2,1,1,1,1,2,1,1,2,1,1,1,1,1,1,1,2,6,6,6,1,2,2,2,1
,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,1,1,1,1
,1,1,2,1,6,2,6,1,1,1,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,36,2,1,1,1,1,1,
1,2,1,1,1,1,1,1,1,1,1,4,1,1,1,1,1,1,1,1,4,1,1,1,1,6,1,2,1,2,1,1,1],[6435,1143,
15,155,1350,189,36,639,441,15,75,155,15,15,7,7,3,45,21,3,217,21,15,3,280,504,
189,35,60,3,12,21,6,186,14,35,21,3,2,30,5,75,155,7,7,7,7,7,15,3,3,3,3,15,15,15
,45,1,3,3,3,3,21,1,217,75,21,21,21,5,7,7,7,15,1,1,1,1,9,9,3,3,3,3,3,3,3,5,1,1,
1,15,75,5,3,3,3,3,9,21,7,7,3,3,1,1,1,3,1,189,36,36,280,28,28,639,105,66,12,15,
15,3,6,3,66,60,15,6,3,14,6,9,3,1,186,35,60,28,9,9,14,14,1,1,3,3,3,3,15,21,6,3,
2,66,3,6,1,28,6,1,3,12,2,25,4,15,45,1,21,3,3,3,3,3,15,15,7,7,7,3,3,3,1,15,15,5
,9,9,9,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,15,75,5,9,9,9,9,3,3,3,3,3,3,3,3,3,3,3,3,3
,3,3,3,21,21,21,7,7,7,7,7,7,7,7,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,9,21,3,3,3,3,3,3,7,7,1,1,1,1,1,9,9,3,3,3,3,3
,1,1,1,1,1,3,1,1,1,3,1,1,1,189,12,21,6,6,35,75,3,3,12,12,36,6,2,2,21,2,90,4,6,
4,6,4,28,6,2,2,30,6,6,217,105,66,35,21,15,5,9,3,12,3,3,6,1,3,2,1,1,66,28,3,3,6
,6,6,6,1,1,1,1,6,1,1,75,35,7,5,3,9,6,2,1,3,1,1,2,1,2,14,6,6,1,3,28,60,3,3,3,3,
15,1,1,1,1,14,14,6,6,3,9,5,2,1,1,28,2,1,3,6,6,1,1,28,1,1,3,6,1,28,1,1,3,6,6,1,
2,6,6,1,6,6,2,1,2,36,2,2,2,25,4,1,9,4,9,4,1,15,1,3,7,3,3,5,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,5,15,9,9,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,5,5,3,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,7,3,1,3,3,3,3,3,9,21,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3
,3,3,3,3,7,7,7,7,7,1,9,3,3,3,3,3,3,3,3,3,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,1,1
,1,9,9,3,3,3,3,3,3,3,3,9,3,3,3,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,105,9,1,66,12,15,15,15,6,75,35,3,3,3,3,9,12,21,2,2,2,1,1,
6,15,3,21,15,3,2,9,21,3,1,1,3,2,2,3,15,1,1,4,6,4,28,2,6,2,2,2,2,2,12,6,2,4,15,
3,21,3,3,6,7,3,3,9,3,1,1,1,15,6,3,3,3,6,75,35,7,7,3,3,3,3,3,21,3,9,9,9,9,5,1,1
,1,1,3,3,1,1,1,1,6,3,1,1,1,6,2,15,3,3,1,14,6,1,3,9,3,3,1,28,3,1,1,1,1,1,1,6,6,
6,1,6,6,6,6,6,6,6,6,6,1,1,6,6,2,1,6,6,2,6,1,6,6,1,6,6,2,2,3,2,1,1,2,1,2,36,12,
6,6,2,5,2,280,105,25,1,4,1,1,9,1,9,1,4,1,1,1,1,1,1,6,3,5,3,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,3,3,7,3,1,3,3,3,1,3,3,3,3,3,3,1,1,1,1,3,3,3,1,3,1,1,1
,1,1,1,1,1,1,3,3,3,1,1,1,1,1,1,1,1,9,3,3,3,3,3,3,1,1,1,3,3,3,1,1,1,3,3,3,3,3,3
,3,3,1,1,1,1,1,1,1,1,1,1,3,3,3,1,1,1,1,3,3,3,1,1,1,1,3,3,1,1,1,1,1,66,12,3,6,2
,1,1,1,35,3,3,3,9,1,1,1,15,3,28,12,1,3,3,2,15,6,2,28,12,1,1,15,2,1,3,9,1,3,15,
3,21,9,1,1,3,3,3,3,1,1,2,6,2,1,2,15,3,1,1,15,3,1,1,1,1,3,3,1,1,1,1,1,2,1,1,1,1
,1,1,1,1,4,2,2,6,2,2,2,2,2,2,2,2,4,4,4,5,15,1,3,3,1,5,2,1,1,1,1,1,1,7,3,1,3,3,
5,1,2,1,15,9,3,3,3,3,3,3,1,1,1,1,1,1,3,3,9,21,7,7,1,1,1,1,9,3,3,3,3,3,3,3,6,1,
1,1,1,3,1,1,3,1,1,2,3,1,3,1,3,9,3,1,1,1,2,6,9,3,1,1,1,3,3,6,3,9,1,1,1,1,3,3,2,
2,3,3,1,2,6,6,2,6,1,6,1,1,1,2,6,6,1,6,2,1,1,36,12,12,15,6,2,6,2,2,2,1,90,35,6,
3,28,9,4,1,1,2,1,2,1,9,1,1,1,1,1,1,1,1,1,1,1,6,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,3
,3,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,3,3,3,1,1,1,1,1,1,1,1,1,1,1,3,1,3,3,1,1,15,
3,6,6,3,3,3,6,28,12,1,1,1,3,6,2,2,2,1,1,6,3,3,1,1,3,3,3,1,1,1,1,3,15,1,1,9,1,1
,1,1,1,3,3,3,6,2,1,2,6,6,6,6,2,1,6,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,2,
30,5,5,2,2,2,2,25,12,4,1,4,4,5,1,3,5,1,1,1,1,1,3,3,7,3,3,1,1,3,2,1,1,3,3,1,2,3
,3,2,1,1,1,3,3,3,1,3,1,3,3,1,1,3,3,1,3,9,3,1,1,1,1,1,1,1,3,3,3,3,1,2,3,3,2,6,3
,3,3,3,3,1,1,2,2,1,1,1,1,1,1,1,1,1,12,15,3,15,6,2,1,1,2,2,2,1,1,2,1,4,3,6,3,4,
3,28,9,2,6,3,1,4,2,1,1,2,1,2,1,1,1,1,1,1,2,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,15,3,
3,1,5,1,2,3,1,1,6,9,3,3,1,1,6,3,1,2,6,2,1,3,3,1,6,2,1,6,6,6,6,6,2,1,1,1,1,1,1,
1,1,1,1,1,1,3,2,1,1,105,25,12,1,9,2,4,9,2,1,1,4,1,1,1,3,1,1,1,3,1,3,3,1,1,1,1,
1,3,1,1,1,1,1,1,3,1,1,1,1,3,1,1,1,1,2,3,3,3,1,3,6,15,3,3,1,1,1,1,1,1,1,1,2,4,3
,2,1,2,6,3,1,2,1,2,1,2,1,2,1,6,2,2,2,1,4,5,1,1,1,1,3,3,9,3,3,1,1,1,3,1,3,3,3,1
,1,1,3,3,1,1,1,2,2,2,6,2,1,1,1,2,1,1,1,1,1,1,35,3,4,3,1,9,1,9,1,2,1,1,1,1,1,1,
1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,6,3,2,6,1,1,1,1,1,1,2,1,2,12,4,4,3,1,3,3
,1,1,1,1,1,1,1,3,1,3,1,1,1,1,2,3,3,1,5,1,3,3,4,3,9,1,3,3,1,2,1,2,1,1,1,1,1,1,1
,1,1,1,1,1,3,6,2,2,1,2,1,1,12,2,1,4,2,1,1,3,1,1,1,1,1,1,1,1,30,1,1,3,3,1,2,1,1
,1,1,1,3,1,2,2,1,3,1,1,2,1,1,1,12,2,1,1,3,1,1,6,3,1,1,1,2,2,2,1,6,1,1,5,2,2,3,
1,2,2,1,1,1,2,1,1,1],[6006,882,42,110,840,147,3,12,252,322,30,40,110,10,10,20,
4,12,30,12,10,112,12,30,10,56,6,336,147,5,40,9,4,15,3,6,3,120,8,5,15,9,2,3,40,
110,4,4,4,4,4,30,4,4,4,10,10,10,30,4,2,10,2,2,12,6,112,40,12,12,12,4,4,4,30,6,
6,4,4,6,6,2,2,10,2,2,4,4,6,6,4,30,40,10,2,2,2,6,12,4,4,4,4,4,4,6,2,147,12,12,3
,3,3,3,3,56,12,2,6,12,2,252,7,60,4,30,3,1,3,1,60,40,3,1,8,4,3,1,5,3,120,5,40,
16,3,3,8,8,5,5,1,9,1,1,3,15,4,1,3,2,3,60,3,4,1,16,1,3,20,2,30,30,12,4,10,10,4,
4,4,2,2,2,2,30,30,6,6,6,2,2,2,2,2,2,2,2,4,4,2,30,40,6,6,6,6,10,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,12,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,6,2,2,2,2,2,6,6,2,
2,2,2,2,2,2,4,4,6,12,4,2,2,2,4,4,2,2,2,6,6,2,2,2,2,2,2,2,2,2,147,4,15,3,3,3,3,
3,3,6,6,5,45,9,1,4,4,12,6,2,2,3,3,3,3,3,3,1,1,1,1,15,2,3,30,12,2,6,2,12,2,12,
12,2,2,2,2,112,7,60,5,12,30,3,1,4,3,3,4,4,2,1,1,1,2,1,1,1,1,1,60,16,3,3,4,4,4,
4,1,1,1,1,1,1,40,5,4,1,3,4,2,4,2,1,1,1,1,1,1,8,4,1,1,16,40,1,1,1,1,3,1,1,5,1,8
,8,4,4,1,3,3,16,1,3,4,1,1,16,1,1,3,4,1,16,1,1,3,4,1,4,1,4,1,6,12,3,3,3,20,2,6,
2,6,2,10,2,4,6,2,2,2,2,2,4,30,6,6,4,2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,4,4,2,2,2,2,
2,2,2,2,4,2,2,2,6,12,2,2,4,2,2,2,2,2,2,2,2,4,4,4,4,4,6,2,2,2,2,2,2,2,2,2,2,4,2
,6,6,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,7,3,5,3,3,3,3,60,4,3,3,3,1,1,1,
45,5,9,1,1,1,3,4,15,2,2,2,5,1,3,3,3,3,3,3,3,6,1,1,1,3,1,15,3,1,2,3,3,15,1,1,5,
1,2,2,3,3,3,3,1,1,12,2,12,12,2,2,2,2,2,2,2,2,2,30,3,12,4,1,1,3,2,1,2,1,30,3,1,
40,5,4,4,1,1,1,1,1,12,3,3,3,3,6,1,1,1,1,2,2,4,4,2,2,2,1,1,1,1,1,2,1,1,30,3,2,1
,8,4,1,1,6,3,1,16,3,1,1,1,1,1,1,4,4,4,1,4,4,1,1,4,1,4,1,4,1,6,6,2,12,4,3,3,3,1
,1,6,3,3,3,6,2,3,1,1,3,3,56,7,6,1,1,2,20,2,12,2,6,2,6,2,4,2,2,2,2,2,2,2,2,2,2,
4,2,4,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,60,4,3,4,1,2,1
,1,1,1,1,1,5,1,1,1,3,1,5,1,3,3,1,1,3,3,3,1,3,3,16,4,1,3,3,1,1,2,3,1,1,16,4,1,1
,1,1,3,2,1,1,1,3,3,5,1,3,3,3,15,3,1,1,1,1,1,1,5,1,2,3,3,4,2,1,1,3,3,1,1,3,3,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,12,2,2,2,2,2,2,3,2,2,2,30,4,1,1,2,3,1,
1,1,4,2,1,1,4,1,1,30,6,3,3,2,2,2,2,1,1,1,1,1,1,3,6,12,4,4,1,1,1,1,3,1,1,1,1,1,
2,2,2,1,2,1,1,2,1,3,6,2,1,1,1,6,3,1,1,1,2,3,6,1,1,1,2,2,1,4,1,6,2,6,6,2,12,4,3
,1,3,4,1,3,1,6,2,3,3,3,1,1,6,2,2,1,1,3,3,3,2,1,30,5,2,1,6,1,1,1,1,2,2,12,3,2,1
,1,12,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,30,3,1,3,1,16,4,1,1,1,1,1,1,1,3,4,2,
2,2,1,1,1,1,1,1,1,1,3,3,3,1,1,1,1,3,3,1,1,3,1,1,5,1,1,1,1,1,3,4,2,1,1,4,2,1,1,
4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,1,20,4,2,1,2,2,2,2,2,4,2
,2,1,1,1,1,4,2,1,1,2,1,2,1,1,2,1,2,1,6,3,1,1,1,1,1,1,1,2,2,2,2,1,2,2,1,1,2,1,6
,2,2,2,2,4,1,3,1,3,3,1,1,6,2,3,3,1,1,1,1,1,2,2,1,1,2,1,1,1,1,1,2,1,12,3,2,1,12
,3,12,3,2,2,1,1,2,1,1,12,2,2,1,2,2,2,2,2,30,2,3,1,1,1,4,1,1,2,1,1,6,3,3,1,1,1,
1,1,1,3,1,4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,6,2,3,3,1,3,3,3,3,1,1,3,1,1,7,1,1,1,1,
20,4,2,1,6,2,2,1,6,2,2,1,2,2,2,2,1,2,1,2,3,3,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,2,1,12,3,2,1,2,2,1,1,2,1,2,1,2,1,2,2,2,1,2,2,4,1,1,1,6,3,1,1,1,2,1,1,1,
2,1,1,2,1,1,2,1,2,1,1,1,1,6,2,3,3,3,3,3,1,3,3,3,3,3,3,1,1,1,1,1,1,1,1,1,5,1,1,
1,1,1,1,1,12,3,2,1,3,1,1,6,2,2,1,1,1,2,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,4,1
,2,1,2,2,1,1,1,1,1,1,2,2,2,1,2,1,1,2,1,6,2,1,1,1,3,1,3,3,3,1,1,1,1,1,1,3,1,12,
3,2,1,3,1,1,1,1,3,2,2,1,1,2,2,1,1,1,1,1,1,1,2,4,1,2,1,2,1,2,2,1,1,2,1,2,1,3,1,
1,1,1,1,1,1,1,3,1,2,2,1,1,1,1,1,1,6,1,2,2,3,1,2,1,2,1,1,1,1,1,1,6,2,1,2,1,1,2,
3,1,1,1,1,1,1,1,1,2,1,1,1,2,1,1,2,1,1,1,1,1,1],[5720,1008,40,1700,308,8,32,
1008,280,40,40,40,280,40,560,560,280,40,8,8,132,4,40,12,4,120,40,40,40,40,280,
40,40,40,40,40,40,40,308,8,32,32,8,8,8,8,8,2,8,2,560,8,8,1008,280,132,16,40,12
,4,4,132,16,12,4,4,4,4,120,40,8,8,120,16,4,4,8,50,8,40,40,40,40,40,40,40,40,
280,8,8,40,50,2,8,8,16,8,4,4,4,2,2,2,2,12,4,8,120,8,8,8,8,120,6,6,280,280,120,
40,40,40,8,120,8,40,40,40,4,4,4,4,4,4,4,8,8,40,4,16,4,4,4,4,8,8,4,4,4,4,32,8,8
,8,2,8,2,2,2,8,2,2,2,2,50,8,2,2,40,40,40,40,40,280,8,132,16,12,12,12,4,4,4,4,
40,40,8,12,4,6,2,2,4,6,4,8,8,8,8,2,2,8,40,4,40,4,4,40,40,40,40,8,4,4,4,4,4,4,4
,16,8,4,2,2,2,8,2,2,8,4,4,2,2,8,2,2,2,40,560,280,40,8,2,2,6,2,2,2,6,40,120,8,
40,8,16,16,4,4,2,4,6,4,4,8,8,2,2,4,4,4,6,2,2,2,4,4,2,2,8,8,8,2,2,2,2,2,8,40,40
,40,4,40,4,40,4,4,4,4,4,8,8,16,4,2,12,4,4,4,2,120,40,8,8,2,2,2,2,2,40,4,4,4,8,
8,4,4,4,4,4,2,8,4,2,2,2,120,40,40,4,4,50,16,8,4,2,4,40,40,4,8,2,2,8,6,2,4,4,2,
4,2,2,8,8,8,8,2,2,40,40,4,4,4,4,4,4,8,2,2,2,4,280,40,8,6,4,2,2,4,2,2,8,2,8,6,4
,4,8,4,40,4,4,8,2,2,40,8,2,2,2,2,2,4,4,2,16,4,4,2,40,8,2,8,2,2,2,4,2,8,2,4,120
,4,4,2,2,8,2,6,2,40,4,8,2],[4290,762,90,66,1260,210,6,762,210,42,42,42,18,42,
42,18,18,18,6,18,210,18,30,6,420,420,210,60,30,24,18,6,6,6,96,36,30,6,6,18,90,
30,42,30,42,6,18,18,6,42,18,18,18,18,18,6,18,6,6,18,18,18,18,6,6,210,30,18,6,6
,30,18,18,6,30,6,6,6,6,6,6,6,6,6,6,6,30,6,6,6,30,30,30,6,6,6,6,6,6,18,6,6,6,6,
6,6,210,6,6,6,6,420,36,12,36,12,756,210,90,6,30,96,6,6,6,12,18,12,6,12,6,6,90,
36,24,12,30,12,12,24,12,18,6,12,6,6,6,18,6,6,6,6,6,6,6,90,6,18,6,6,18,6,30,42,
6,6,18,18,18,18,18,6,18,6,6,18,18,18,6,30,30,30,6,6,6,6,6,6,6,6,6,6,30,30,30,6
,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,210
,6,6,6,6,6,30,30,18,18,6,6,6,6,6,6,6,6,6,6,6,6,6,90,6,18,6,12,12,12,12,36,12,
12,12,12,12,12,12,90,210,210,90,30,18,30,30,6,18,6,6,6,6,6,90,18,6,6,6,6,6,6,6
,6,36,30,36,30,18,6,6,6,6,6,12,6,12,6,6,12,24,6,12,12,12,6,6,6,18,6,12,6,12,12
,12,12,6,6,6,6,6,6,6,6,6,6,30,6,18,6,6,6,18,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6
,6,6,30,6,6,6,18,6,18,18,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,30,30,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,30,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,210,6,6,6,90,6,30,30,18,6,18,6
,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12
,12,12,12,12,12,12,6,6,18,6,6,6,6,6,6,6,6,6,6,18,6,36,6,12,6,6,6,12,6,12,6,6,6
,30,12,6,30,30,18,6,18,6,6,6,6,6,6,6,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,30,6,6
,6,12,12,12,12,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,30,6,420,210,30,6,6,6,6,6,18,30,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,90,6,6,6,30,18,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6
,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,30,30,
6,6,30,6,12,6,12,30,6,30,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,90,30,
18,18,36,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,30,6,6,6,6,6,6,18,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,90,30,30,6,30
,6,30,6,12,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,12,12,6,12,12,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,30,6,30,6,6,6
,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,210,30,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,12,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,30,6,6,6,6,6,6,6
,6,6,6,6,6,6,6,6,6,6,6,30,18,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,90,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6
,6,6,6,6,6,30,6,6,6,6,6,6],[4290,758,30,42,1260,210,6,756,210,30,32,34,6,14,12
,4,6,2,212,8,34,6,420,420,210,20,30,12,6,6,2,2,92,12,30,2,2,6,90,30,32,30,12,4
,4,30,6,2,6,2,2,2,2,2,2,210,30,6,2,2,30,6,6,2,30,2,2,2,2,2,30,2,34,32,30,6,6,6
,2,2,4,8,4,4,4,2,2,2,210,6,6,6,6,420,12,8,12,8,756,210,90,6,30,90,6,6,4,2,2,90
,12,8,4,30,8,6,6,2,6,2,2,6,2,2,2,2,92,2,4,4,2,2,8,8,4,2,2,2,6,6,2,30,30,2,2,4,
2,2,2,30,32,30,2,2,4,4,2,4,2,2,2,2,2,30,30,30,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,
2,2,30,2,2,2,2,2,2,2,4,4,4,6,2,2,2,4,2,2,4,2,6,2,4,2,2,2,2,210,6,2,2,6,2,30,30
,6,6,6,6,6,2,2,2,2,2,2,2,6,2,2,90,8,6,4,6,4,2,12,4,4,6,8,2,2,4,2,4,2,90,210,
210,90,30,6,30,30,2,6,6,2,2,2,2,90,6,2,2,6,2,2,2,32,30,12,30,6,2,2,2,2,2,2,2,6
,6,2,2,2,6,6,2,4,2,2,2,30,6,6,2,2,8,4,4,8,4,4,2,2,2,2,2,2,2,6,6,2,2,4,4,2,2,2,
4,2,2,4,2,6,6,6,2,2,2,30,2,2,2,30,2,2,2,30,30,2,2,2,2,2,2,2,2,30,30,2,2,2,2,2,
2,2,2,4,2,6,2,4,2,2,2,2,2,4,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,210,2,6,2,
2,90,6,30,30,6,2,6,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2
,2,4,8,6,6,2,4,4,4,2,2,2,4,2,4,2,4,4,2,2,6,6,2,30,4,2,2,2,30,30,30,6,2,6,2,2,2
,2,2,30,2,2,2,2,2,2,2,32,2,4,2,2,2,2,2,2,2,2,2,4,2,2,2,6,2,2,2,2,2,2,6,2,2,2,2
,4,2,2,4,2,2,2,2,2,2,4,2,4,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,6,6,2,2,2,6,2,2,6,2,
30,2,420,210,30,2,6,2,2,2,2,30,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2
,90,6,2,2,30,6,2,2,6,2,6,6,6,2,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,6,2,2,2,4,2,2,2,2,2,2,2,4,2,2,2,2,4,6,2,2,2,30,30,2,2,30,2,30,2,30,
2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,4,2,2,2,2,2,2,2,2,2,2,6,6,
2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,90,30,6,6,12,8,2,6,2,2,2,2,2,2,2,2,2,2,2,2,30,
6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,
2,6,2,2,90,30,30,2,30,6,30,2,30,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,6,6,2,2,2,2,2,
2,2,2,2,2,2,2,2,6,4,2,8,4,2,6,6,2,2,2,6,2,4,2,2,2,2,2,2,2,2,30,2,30,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,210,30,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,6,2,2,2,4,2,2,4,2,2,2,2,2,2,2,6,30,2,2,2,2,2,2,2,2,6,2,2,2,2,2,30,6,6
,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,6,2,2,2,2,2,2,30,6,2,2,2,2,2,2,2,6,2,6,
2,2,2,90,2,2,2,2,2,2,2,2,2,2,6,6,2,2,2,2,2,2,30,2,2,2,6,2,2],[4290,902,30,122,
1260,210,6,756,342,30,72,122,30,30,12,12,50,24,2,252,24,30,2,420,476,210,20,50
,48,6,6,14,2,2,152,20,50,2,14,6,2,90,30,72,122,12,12,12,12,12,30,30,30,30,50,2
,2,2,2,2,24,252,72,24,24,24,30,12,12,12,30,2,2,6,6,2,2,2,2,2,30,2,30,72,30,2,2
,2,2,6,24,12,12,2,2,6,210,6,6,6,6,420,12,32,12,32,756,210,90,6,30,90,48,20,6,
20,6,6,14,2,6,152,20,20,20,50,48,18,6,6,14,14,20,20,6,6,6,6,14,6,2,2,2,6,2,90,
6,6,18,18,6,6,30,30,50,2,24,30,30,12,12,12,2,2,2,30,30,30,6,6,6,2,2,2,2,2,2,2,
2,2,2,30,72,30,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,24,24,24,12,12,12,12,12
,12,12,12,2,2,2,2,2,2,30,2,2,2,2,2,6,24,2,2,2,12,12,2,2,6,6,2,2,6,2,2,6,2,6,2,
210,6,2,14,6,2,2,2,50,50,6,6,6,6,6,2,2,2,2,2,2,2,14,2,2,2,2,6,2,2,120,6,12,2,6
,12,12,2,12,12,12,6,32,2,2,12,2,2,90,252,210,90,50,24,30,30,14,6,6,6,2,2,2,2,
90,6,6,6,6,18,6,6,6,6,72,50,12,30,6,14,2,6,2,2,2,20,6,20,6,6,18,6,6,6,6,6,6,6,
48,20,20,20,20,20,6,6,6,6,20,20,6,6,6,14,2,30,18,6,6,6,6,6,6,6,18,6,18,6,6,6,6
,6,6,6,6,6,6,6,6,6,6,30,2,6,6,2,30,2,12,30,2,2,2,30,30,6,6,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,30,30,6,2,2,2,2,2,2,12,2,2,2,6,24,2,2,2,2,2,2,2,2,12,12,12,12,12,2,6,
2,2,2,6,2,2,2,2,2,2,2,6,6,2,2,2,2,2,2,6,2,2,2,6,2,2,2,6,2,2,2,2,2,210,14,6,2,
90,6,50,50,6,6,6,6,14,6,14,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,14,2,2,6,2,2,2,14,
14,2,2,2,2,2,2,2,2,6,6,2,2,2,2,12,2,6,2,2,2,2,12,12,12,12,6,32,12,12,2,2,2,2,2
,12,2,2,2,2,2,2,2,2,2,2,2,2,18,6,6,30,24,6,12,6,6,14,2,2,2,30,20,6,72,50,12,12
,6,6,6,6,6,24,14,14,14,6,30,2,2,2,2,2,2,2,2,2,6,6,2,30,2,20,20,20,20,6,6,6,6,6
,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,2,2,6,6,2,2,2,2,6,2,2,2,2,2,6,2,2,30,6,420,210,30,2,6,6,6,2,2,2,2,30,6,2,2
,2,2,2,2,2,2,12,2,2,2,2,2,6,2,2,6,6,2,2,6,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,90,6
,6,2,2,50,6,6,6,14,2,2,6,2,6,2,18,6,6,2,2,18,6,6,2,2,14,6,2,14,14,2,2,2,2,2,2,
2,6,6,6,6,2,2,2,6,2,2,6,6,2,2,2,12,2,6,2,2,2,2,2,2,2,2,2,2,2,12,12,12,2,2,2,2,
2,2,2,2,2,2,2,6,6,6,6,30,30,2,2,30,12,2,6,30,2,30,6,2,2,2,2,20,6,6,24,12,12,14
,6,6,6,6,6,2,2,6,2,2,2,2,6,2,6,6,6,6,2,6,6,6,2,2,6,6,6,6,6,6,6,6,2,6,6,2,2,2,6
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,120,50,12,6,12,32,14,6,2,2,2,
2,6,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,30,6,6,2,18,6,6,6,6,2,2,2,2,2,2,6,2,2,2,6,6,
2,2,14,6,6,6,2,6,2,2,2,6,2,6,2,2,2,6,2,6,2,2,2,6,2,2,2,2,12,2,2,2,2,2,2,2,2,2,
2,6,2,2,2,2,90,30,30,6,30,6,30,2,30,2,2,2,12,2,6,2,2,6,6,2,2,2,6,2,2,2,6,2,2,2
,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,12,12,2,6,6,2,32,
12,12,14,2,12,2,6,6,2,2,2,2,2,2,2,2,2,2,30,2,30,2,2,6,2,6,6,2,6,2,6,2,2,2,2,2,
2,2,6,6,6,6,2,2,2,6,2,2,2,2,2,6,6,2,2,210,30,6,2,2,6,2,6,2,2,2,6,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,12,2,6,2,2,2,2,2,2,2,12,12,12,2,2,6,2,2,2,2,2,2,2,2,2
,2,2,2,6,30,2,2,6,2,6,2,6,2,2,2,6,2,2,2,2,2,6,2,50,6,6,14,6,2,2,2,2,2,2,2,2,2,
2,2,2,12,2,2,2,2,2,2,2,2,2,2,2,2,6,6,2,2,2,2,2,2,2,2,2,30,6,6,2,14,6,2,2,2,2,2
,6,2,6,2,2,2,2,2,90,2,2,6,2,2,2,2,2,2,2,2,2,2,2,18,6,6,2,2,6,6,6,30,6,6,2,2,6,
2,2,2],[3432,240,120,660,156,12,30,240,16,40,40,40,16,24,8,16,24,8,72,12,72,16
,60,32,18,12,72,12,6,12,2,40,40,8,8,8,16,24,8,8,8,8,8,4,8,8,8,8,156,30,30,12,
12,12,12,12,72,20,12,20,240,16,72,6,10,40,12,4,8,4,4,2,72,6,10,12,4,6,4,4,2,4,
2,8,20,20,6,14,8,8,2,6,8,2,14,4,6,8,6,10,4,2,30,6,40,8,4,8,4,8,4,4,8,8,8,8,4,8
,8,4,4,8,4,4,4,16,32,12,12,12,12,12,18,18,30,6,10,6,2,4,12,6,6,2,6,4,20,6,20,
20,6,6,6,2,2,2,2,2,16,16,2,24,8,14,8,4,6,6,4,4,8,4,2,2,4,4,2,2,14,6,4,2,2,6,8,
4,40,8,2,4,4,2,4,2,20,4,4,8,6,2,2,2,4,10,6,2,2,4,2,4,6,4,4,6,4,4,2,4,2,2,2,12,
30,12,12,12,2,2,2,30,6,2,12,6,12,6,2,8,4,4,8,4,4,4,4,4,2,16,8,4,4,4,4,4,72,6,6
,6,6,6,6,6,10,12,12,12,4,4,4,4,2,4,12,2,4,6,12,6,6,4,8,8,8,6,6,2,2,2,2,2,2,2,2
,8,6,6,4,20,6,4,4,2,2,6,6,6,6,6,2,2,2,6,40,8,8,2,4,2,4,40,4,8,4,2,4,2,8,4,8,8,
8,8,2,2,4,2,8,4,4,2,2,2,2,8,2,4,4,2,2,6,4,2,2,4,2,4,2,2,2,2,4,2,2,2,2,2,2,2,4,
2,2,2,2,2,2,2,2,2,2,12,12,6,10,2,4,18,12,12,12,6,4,2,72,16,12,4,4,6,4,2,20,6,2
,2,2,2,12,2,6,2,2,2,2,2,2,2,2,2,2,2,4,2,2,14,6,6,6,6,6,6,6,6,8,8,8,4,4,4,4,2,8
,4,10,6,10,2,4,4,2,2,20,8,6,4,2,2,8,8,4,4,2,2,4,2,2,2,2,2,2,2,4,4,4,4,8,6,6,2,
2,2,2,4,2,2,2,6,2,2,12,2,2,2,2,2,2,2,6,6,6,8,4,4,4,2,8,4,4,4,2,4,2,8,8,4,4,2,2
,4,4,2,2,4,2,4,4,2,2,2,8,2,4,2,2,2,2,2,2,2,2,2,2,12,2,2,2,6,10,2,4,6,12,6,6,6,
6,6,4,6,2,2,2,2,2,6,4,6,2,4,2,6,20,8,20,6,2,2,6,6,2,6,6,2,2,2,2,2,2,2,2,2,2,2,
2,40,8,4,2,2,2,4,4,8,4,4,2,2,4,2,6,6,4,2,4,2,4,2,2,2,2,2,2,2,4,2,2,2,2,2,2,4,2
,4,4,4,4,4,2,2,2,12,4,2,2,2,2,30,10,6,4,2,2,2,6,6,6,2,2,4,4,2,2,2,2,8,2,4,6,2,
2,2,2,2,8,4,6,6,6,6,6,2,2,4,4,2,2,2,2,2,2,2,2,6,2,4,20,8,6,4,4,4,2,2,4,2,6,4,6
,6,2,2,2,2,2,2,2,8,4,4,4,4,2,2,2,2,2,8,8,2,2,2,4,4,2,2,2,4,2,2,2,2,2,2,2,2,2,2
,2,4,2,2,2,2,2,4,12,6,6,4,4,4,4,4,2,16,4,4,4,4,4,2,12,6,6,4,2,2,2,2,2,2,2,2,2,
6,2,2,2,4,2,2,8,2,4,4,4,2,2,2,4,4,2,2,2,2,2,2,2,4,2,2,2,6,4,2,2,2,2,2,2,2,2,6,
4,4,4,4,2,2,2,2,2,12,6,2,2,6,4,2,2,4,2,2,2,20,8,6,2,2,4,8,2,2,2,2,2,2,2,2,2,2,
2,2,4,2,2,2,2,2,2,4,4,2,2,2,2,10,4,2,2,6,4,2,2,2,2,2,2,2,4,2,2,8,4,4,2,2,2,6,6
,4,4,2,2,4,2,2,2,2,2,2,6,2,2,2,6,4,6,4,2,2,2,2,2,2,2,2,2,4,2,4,12,4,6,6,2,2,8,
2,4,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,4,2,2,2,6,4,2,2,2,2,2,
2,2,2,2,2,2,4,2,2,2],[2860,648,100,850,154,4,16,504,266,20,60,100,30,18,182,18
,20,280,344,154,40,44,8,18,8,4,126,10,40,18,4,60,20,60,100,20,30,18,182,60,18,
18,18,20,20,6,6,20,20,60,20,6,18,6,154,4,16,16,4,4,4,4,4,1,4,1,280,28,28,504,
140,66,8,20,6,2,2,66,44,6,2,2,10,6,12,126,40,44,20,12,12,10,10,6,18,6,2,4,66,6
,2,20,2,2,16,4,25,4,20,30,18,20,20,20,6,6,6,20,60,20,6,6,6,6,18,18,18,20,6,18,
6,6,6,6,6,154,8,18,4,4,4,4,4,4,8,8,40,50,2,8,8,16,8,4,4,4,2,2,2,2,2,1,18,4,4,
90,4,6,4,6,4,28,6,2,2,60,3,3,182,140,66,40,18,20,20,12,8,6,4,2,2,66,20,6,6,6,6
,2,2,2,60,40,20,12,6,4,2,2,10,6,2,20,44,6,10,10,6,6,2,12,20,2,20,2,2,6,2,20,6,
2,20,6,2,2,2,6,2,2,6,2,2,16,4,4,4,1,4,1,1,1,4,1,1,1,1,4,25,4,1,9,4,9,4,1,20,20
,20,6,6,20,20,6,6,18,6,6,6,6,6,6,6,140,12,4,66,8,6,6,6,2,2,2,2,50,40,2,2,12,8,
18,4,4,4,2,2,4,8,2,2,2,6,2,18,6,2,4,12,18,2,2,4,4,6,2,2,4,6,4,28,2,6,2,2,2,2,2
,16,1,3,4,1,1,4,20,18,2,12,20,2,2,60,40,18,12,12,12,6,20,6,2,4,20,10,6,6,20,6,
6,6,2,2,2,2,2,6,6,2,2,2,2,6,2,2,2,2,6,2,6,2,2,2,2,6,2,2,2,16,8,4,1,1,2,2,8,4,4
,4,4,1,1,1,1,2,8,4,4,2,2,4,1,1,1,2,1,1,1,20,280,140,25,1,4,1,1,9,1,9,1,4,1,1,1
,1,1,1,3,20,6,6,6,6,6,6,66,8,6,4,2,2,2,2,2,2,40,12,2,6,2,4,20,8,2,2,2,4,6,2,2,
20,8,6,4,2,2,2,12,6,18,12,2,2,2,2,4,6,4,2,6,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,
2,2,6,2,2,2,4,4,1,1,1,1,1,4,1,4,4,4,20,20,20,2,20,2,20,6,6,18,12,2,2,6,2,2,6,2
,6,2,2,2,2,2,2,6,2,2,2,2,2,2,16,8,2,1,8,2,1,6,2,8,4,4,2,2,8,4,4,2,2,4,2,2,1,1,
90,40,6,28,12,4,1,1,2,1,2,1,9,1,1,1,1,1,1,1,1,1,1,1,3,1,1,6,20,2,2,2,20,8,6,4,
4,4,2,2,2,2,2,2,2,6,2,12,6,4,2,2,2,6,2,4,6,4,2,2,2,2,2,2,2,2,2,2,4,4,4,2,1,2,1
,2,1,1,1,1,60,20,20,2,2,25,8,4,2,1,4,4,20,20,2,2,6,6,2,6,2,2,2,2,2,4,1,1,8,1,6
,2,6,2,8,4,2,2,2,2,2,1,4,4,4,2,2,4,2,1,4,6,4,28,12,2,6,4,2,1,2,1,2,1,1,1,1,1,1
,1,1,20,20,2,2,6,2,2,2,2,6,4,2,2,2,2,2,2,2,4,1,4,2,4,2,2,2,2,2,1,6,4,140,25,8,
1,9,4,4,2,9,4,1,1,4,1,1,6,2,2,6,2,2,2,2,2,2,2,2,2,4,2,1,1,1,4,2,2,6,2,2,2,2,1,
1,1,1,4,3,2,2,4,2,20,6,6,2,2,2,2,2,4,4,2,2,2,1,2,2,1,2,40,4,1,12,1,9,1,4,1,1,1
,1,1,1,1,1,1,2,2,2,2,2,2,1,1,2,1,8,2,4,2,4,2,6,2,2,2,1,20,4,12,1,2,2,1,1,1,1,1
,1,1,1,4,1,1,1,2,2,2,1,1,1,8,4,2,1,4,2,4,60,2,1,2,2,1,2,1,1,4,1,1,16,4,2,2,3,1
,4,2,3,1,1,20,1,6,2,2,4,2,1,1],[2574,270,30,62,594,126,36,270,42,22,22,22,6,14
,14,6,6,18,6,6,42,18,2,2,114,4,114,42,10,2,30,6,14,4,6,54,26,2,18,6,2,12,2,22,
2,14,2,6,6,2,22,6,6,6,6,6,2,6,6,2,6,6,6,6,6,2,42,2,18,6,6,2,6,6,2,2,2,2,2,2,6,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,2,2,2,2,2,2,126,36,36,114,2,10,4,2,10,
270,42,54,12,22,18,6,10,6,54,12,18,10,10,10,2,2,12,2,6,2,2,10,10,6,2,12,8,2,2,
2,2,6,2,2,6,6,4,2,4,12,8,2,4,12,2,4,24,6,4,22,2,6,6,6,6,6,6,2,6,2,2,6,6,6,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
6,2,2,2,2,2,2,2,2,2,2,2,2,42,14,4,6,6,2,24,6,12,12,6,2,2,8,4,4,18,2,12,12,10,2
,2,2,2,2,2,2,10,10,2,2,2,2,2,2,2,2,12,6,6,42,42,12,2,18,2,2,6,6,8,4,2,2,2,2,4,
2,12,4,2,4,4,8,2,2,2,4,2,4,22,2,14,2,6,6,10,2,2,6,2,2,2,2,2,2,10,10,2,10,6,2,2
,2,4,2,2,2,2,2,2,2,2,6,2,2,2,2,2,4,4,4,2,2,2,2,12,2,2,2,4,2,2,2,2,4,2,2,2,2,2,
4,2,2,4,2,2,2,2,4,36,4,24,6,4,2,4,2,4,2,2,4,2,4,2,2,6,2,6,6,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,42,6,54,12,18,18,18,10,2,2,6,2,6,6,4,2,4,2,2,2,2,4,2,18,6,6,2,4,6,2,2,4,2,4,
2,6,4,2,2,2,2,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,4,2,6,22,6,6,6,6,10,6,2,6,2,2,2,22,10,6,6,6,10,2,2,6,
2,6,2,2,2,6,6,6,6,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,4,2,2,2,2,2,2,4,2,2,2,2,2,2,
6,2,4,2,2,2,2,2,2,2,2,4,2,2,2,2,2,4,2,2,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,4,4,12,8,4,6,6,2,2,114,42,4,2,2,6,4,10,2,4,2,4,6,4,2,2,2,2,2
,2,2,2,2,2,4,4,2,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,8,4,2,4,4,4,2,2,2,6,2,2,2,6,12,12,2,6,2,2,
10,6,4,2,2,6,2,4,2,2,6,6,2,2,2,2,2,2,2,2,10,2,2,2,2,6,2,4,4,2,2,2,4,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,4,4,4,6,2,2,2,4,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,6,2,2,2,2,2,2,
2,2,2,2,2,6,6,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,4,6,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,4,4,12,18,4,2,
2,2,2,2,4,2,2,12,2,12,6,2,10,6,10,2,2,2,4,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,22,6,10,10,6,6,10,4,4,2,2,2,2,2,
2,2,2,2,10,2,2,2,2,2,2,2,2,2,2,4,2,2,4,4,2,2,2,2,4,2,2,2,2,2,4,4,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,2,2,2,2,24,12,6,4,4,4,2,2,2,2,
2,2,2,2,2,2,4,2,2,2,2,6,2,2,2,2,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,6,6,2,2,4,2,2,2,2,4,2,2,10,2,6,2,2,2,4,4,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,2,2,2,2,2,2
,2,2,2,2,6,2,2,4,6,6,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,4,2,4,2,2
,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,42,2,4,6,4,4,2,2,2,6,2,4,2,2,2,2,2,2,4,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,6,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,6,2,2,2,2,2,2,2,6,6,6,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,4,2,2,2,2,2,6,10,6,2,4,2,6,2,4,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,12,4,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2
,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,4,2,2,4,2,2
,4,2,2,2,2,2,2,2,12,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,6,2,2,
2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,4,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,
2,2,2,2,2,2,2,2,2,2],[2145,453,45,73,630,105,3,381,171,21,41,65,21,29,21,13,9,
31,15,9,127,19,17,5,210,238,105,30,25,30,9,3,9,3,1,78,22,25,3,9,9,1,45,15,41,
61,21,9,13,13,9,21,9,9,9,9,21,17,21,27,3,9,9,9,9,15,3,127,37,19,15,15,15,13,13
,9,17,3,3,3,3,7,5,5,5,5,5,3,5,5,15,3,3,3,17,37,15,5,5,5,5,7,15,13,9,5,5,3,3,3,
3,1,105,3,3,3,3,210,18,18,18,18,378,105,45,3,15,48,3,24,3,6,16,3,14,6,8,7,1,5,
3,76,22,18,14,25,26,12,12,8,7,7,16,12,6,3,3,5,9,5,5,3,9,6,3,1,3,1,3,1,46,1,6,2
,1,1,10,10,2,1,1,1,9,9,5,15,21,25,3,15,9,9,9,9,9,15,17,13,9,9,9,9,9,3,17,17,15
,5,5,5,5,5,5,5,3,5,3,3,5,5,3,3,3,3,3,17,37,15,5,7,7,7,5,5,5,3,5,5,5,5,5,5,5,5,
3,3,5,5,13,15,13,13,9,9,9,9,7,7,9,5,5,5,5,5,5,5,5,5,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,15,3,3,3,3,3,3,3,3,3,3,3,3,3,3,7,13,5,5,5,5,5,5,7,9,3,3,3,3,3,5,5,3,3,3,
3,3,1,1,1,1,1,3,1,1,1,3,1,1,1,105,3,3,9,3,3,1,1,25,25,9,9,3,3,3,1,1,1,3,3,3,1,
9,3,3,3,1,3,3,3,60,4,12,4,6,6,10,6,6,18,10,10,6,18,6,6,6,6,2,2,2,2,45,126,105,
45,25,18,15,15,9,9,3,5,3,3,3,1,46,10,6,6,4,10,1,1,6,6,6,4,1,1,1,1,2,4,2,2,4,1,
1,1,1,38,25,18,15,9,9,3,5,1,3,3,10,8,12,6,6,3,3,12,12,6,8,8,8,6,6,24,16,12,14,
10,12,6,6,6,6,3,3,5,3,3,3,3,3,3,10,12,3,6,6,3,7,1,15,10,10,6,6,1,1,4,2,4,2,1,1
,1,10,6,6,10,2,2,4,1,1,1,4,1,1,10,10,6,6,1,1,1,4,2,4,2,1,1,2,6,4,4,1,2,4,4,6,1
,3,3,3,3,3,3,5,3,1,1,15,3,3,3,3,15,3,9,9,9,9,15,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
15,17,5,5,3,3,3,5,5,5,3,3,3,5,5,3,3,3,3,3,5,5,5,5,5,3,3,3,3,15,15,3,3,3,3,1,3,
3,3,3,1,3,3,1,1,1,3,7,5,3,5,3,3,3,3,7,13,3,3,3,3,3,3,5,5,5,5,5,3,5,5,5,5,5,5,5
,7,7,7,7,9,3,5,3,3,3,3,3,3,3,3,3,1,1,1,1,1,5,3,3,3,5,5,3,5,5,5,5,3,3,3,3,5,5,3
,3,3,3,3,3,3,3,5,3,3,3,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,3,3,3,3,3,3,1,1,1,1,1,1
,1,1,1,1,1,1,105,9,3,3,1,45,3,25,25,9,5,9,5,7,3,7,1,3,3,3,1,1,1,1,1,3,3,1,1,3,
1,1,3,3,3,3,3,1,3,9,3,3,3,3,1,3,1,1,1,7,7,1,1,3,3,1,1,1,3,5,3,3,3,3,3,5,1,1,1,
1,1,1,1,1,1,3,1,1,1,1,1,3,3,6,6,6,6,6,6,6,6,6,6,6,6,10,6,6,6,4,16,12,8,4,4,4,4
,4,4,4,8,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,9,9,5,18,3,12,6,3,3,3,3,10,3,
5,7,6,1,3,3,3,15,10,6,6,36,25,12,8,9,5,5,5,3,14,3,9,7,7,6,15,3,3,4,3,3,3,3,3,3
,1,1,5,3,3,3,3,3,3,3,1,16,1,4,1,1,1,10,12,10,10,6,6,6,6,8,6,6,6,3,3,4,4,4,1,2,
1,1,1,10,6,6,6,6,6,6,4,4,4,4,10,1,1,1,1,1,1,1,4,4,4,4,2,4,4,4,4,4,2,4,2,2,1,1,
4,4,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,4,6,4,4,4,4,4,4,4,6,4,4,1,1,2,2,4,4,4,4,6,4,
4,1,2,2,2,2,2,2,2,2,4,4,4,6,4,4,4,1,2,2,4,4,4,4,4,6,4,1,2,2,2,2,2,2,2,2,3,3,3,
3,3,3,3,1,3,3,3,1,1,1,3,3,3,1,15,3,3,1,1,1,1,1,210,105,15,3,3,3,3,1,3,1,1,1,1,
3,3,1,9,15,3,3,3,3,3,1,3,3,3,3,3,3,3,3,3,1,1,3,1,3,3,3,3,3,3,7,5,3,5,5,5,3,3,5
,5,5,5,5,3,3,3,3,3,5,3,3,3,1,1,1,1,1,1,1,1,1,3,3,3,1,1,1,1,1,1,1,1,5,3,3,3,3,3
,3,1,1,1,3,3,3,1,1,1,3,3,3,3,3,3,3,3,3,1,3,3,3,3,1,3,1,3,3,3,3,1,1,1,1,3,3,3,1
,1,1,1,3,3,1,1,1,1,1,45,3,5,3,1,25,9,5,5,7,3,1,1,1,1,3,3,3,3,1,3,3,3,3,9,9,3,3
,1,9,9,3,3,1,3,9,1,3,3,3,1,1,1,1,7,7,1,3,1,1,1,1,1,3,3,5,3,5,3,3,3,1,1,3,3,3,1
,5,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,1,1,3,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,6,6,6,6,6,6,4,4,4,4,2,2,4,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,6,6,8,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,3,3,3,1,3,3,5,1,15,15,3,3,15,3,6,6,3,3,6,15,3,16,4,1,1,4,4,4,2,1,1,1,1,1,1,4,
1,1,1,1,10,6,6,3,6,12,6,8,3,3,3,3,7,3,3,3,3,5,4,4,3,3,3,3,3,3,3,3,1,3,3,2,2,1,
1,4,2,1,1,1,1,1,4,4,2,2,2,2,2,2,4,4,4,4,4,1,1,1,1,2,2,1,1,4,4,4,4,1,4,1,1,1,1,
1,2,2,2,2,2,2,2,2,4,4,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,6,
4,4,4,4,1,2,2,2,2,2,2,2,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,
3,3,3,3,3,3,3,3,3,3,1,1,3,3,1,1,1,1,3,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,
3,1,1,3,3,3,1,60,25,12,9,18,18,9,3,3,3,3,1,1,3,1,1,1,1,3,3,1,1,1,1,1,3,3,5,1,1
,1,3,1,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,3,3,3,1,1,1,1,1,1,1,1
,1,1,1,3,1,3,3,1,1,15,3,3,3,3,3,3,1,9,3,9,5,5,3,3,3,1,1,1,3,1,1,1,3,3,3,3,3,3,
3,1,1,1,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,7,3,1,1,3,3,3,3,5,1,3,3,3,3,1,1,5,1,1,
1,1,1,3,3,3,1,1,5,3,1,5,1,3,1,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,6,6,4,4,2,2,2,4,4,4,2,4,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,3,3,3,1,1,45,15,15,3,3,1,1,1,1,1,15,3,15,3,6,15,3,3,3,3,
3,3,6,4,3,3,3,4,3,3,3,3,3,3,2,2,2,2,1,2,2,3,2,2,1,2,4,1,1,1,1,1,1,1,1,2,2,2,1,
1,4,4,2,2,2,2,1,2,2,2,2,2,2,4,4,4,4,1,1,2,2,2,3,3,2,2,2,2,2,2,2,2,1,3,3,3,3,3,
3,3,3,3,3,3,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,1,1,1,1,1,3,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,3,6,6,3,10,6,6,3,4,4,1,16,12,8,7,4,8,4,5,3,3
,3,3,2,2,1,3,3,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,15,
3,15,3,3,3,3,3,3,1,3,3,3,3,1,3,3,3,1,3,3,1,1,1,1,1,3,3,3,1,1,3,1,1,1,1,3,3,3,5
,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,2,2,2,2,2,2,2,2,3,3,1,3,3,1
,1,1,1,1,3,5,3,3,1,105,15,3,3,3,3,1,3,1,3,3,3,3,3,2,4,3,1,3,1,3,3,2,1,1,2,1,2,
3,3,3,3,2,2,2,2,1,2,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,
3,3,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,6,6,6,4,4,4,4,2,1,4,2,1,2,2,4,6,8,6,4,4,3,3,
3,2,2,2,1,4,4,2,2,2,1,3,3,2,2,1,1,1,1,1,1,1,1,1,1,1,1,3,1,15,3,3,3,3,3,3,1,3,1
,3,3,3,3,3,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2
,3,3,3,3,1,1,1,1,1,1,1,1,3,3,3,3,1,1,1,25,9,3,9,3,3,3,1,1,1,1,1,1,1,1,1,3,3,3,
3,1,1,3,3,2,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,6,6,4,4,2,2,2,2,2,
2,2,2,3,2,2,4,4,4,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,3,3,3,3,1,1,1,3,3,3,3,1,1,1,1,
1,1,1,1,3,1,1,1,3,3,1,1,1,1,15,1,1,3,3,3,3,7,3,5,1,3,3,3,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,3,1,1,1,4,2,2,2,2,2,2,2,2,1,3,3,3,3,1,1,3,1,1,1,1,1,1,45,3,1,1,1,1,1,
1,3,3,3,3,1,1,3,3,1,1,1,1,1,1,1,1,1,1,1,3,2,3,1,1,3,3,1,1,1,1,1,9,9,5,1,3,3,1,
1,1,1,1,1,1,3,3,1,1,1,1,1,1,3,3,1,3,5,3,1,1,1,15,3,3,1,1,1,1,1,3,3,1,3,1,1,1,3
,3,1,3,1,1,1],[1716,504,60,720,210,24,504,210,60,60,60,6,6,210,6,60,336,6,336,
210,60,24,24,6,120,60,6,120,60,60,60,60,6,6,210,60,6,6,6,60,60,6,6,60,60,60,60
,6,6,6,210,24,24,24,24,336,24,6,24,504,210,120,24,60,6,6,120,24,6,6,120,60,24,
24,6,6,6,6,120,6,24,6,24,60,60,6,6,60,60,60,6,6,6,60,60,60,6,6,6,6,6,6,6,60,6,
6,6,6,6,6,6,210,24,6,24,60,60,24,24,24,6,24,120,24,6,24,24,24,120,6,6,210,210,
120,60,6,60,60,6,24,6,6,120,24,6,6,60,60,60,6,24,24,6,6,60,24,6,24,6,24,6,6,24
,24,24,60,6,6,60,60,60,6,6,60,60,6,6,6,6,6,6,6,6,6,6,210,6,24,120,24,6,6,6,60,
60,6,24,6,6,6,6,6,6,6,6,24,24,24,24,6,60,6,6,6,60,6,60,60,6,6,6,6,6,6,60,60,6,
6,6,24,6,6,6,6,24,24,24,24,60,336,210,6,6,60,24,6,6,6,60,6,6,6,6,6,6,120,24,6,
60,6,6,24,24,24,6,6,6,24,24,6,6,6,6,6,6,6,6,6,6,6,24,6,24,60,60,6,60,60,60,6,6
,6,6,6,6,6,6,6,6,6,6,6,6,6,6,24,24,24,6,120,60,6,24,6,24,6,6,6,60,6,6,24,24,6,
6,6,6,6,6,6,6,24,120,60,60,60,24,60,60,6,6,6,6,6,6,24,24,6,6,6,24,6,24,6,24,6,
24,60,6,60,6,6,6,6,6,6,24,6,210,6,60,24,6,6,6,6,6,6,6,24,6,24,6,60,6,6,6,6,24,
60,24,6,6,6,6,6,6,24,6,6,60,6,24,6,6,6,24,6,24,120,6,6,6,24,6,6,6,6,6,60,6,24,
6],[1716,372,20,84,330,78,6,15,120,176,20,32,84,20,20,8,8,40,16,4,64,16,20,4,
36,6,162,78,10,6,38,2,5,18,2,1,9,6,78,18,6,3,18,2,3,2,1,32,84,8,8,8,8,8,20,20,
20,20,40,4,4,4,4,16,64,32,16,16,16,8,8,8,20,8,8,4,4,4,4,4,20,32,4,4,4,4,8,16,8
,8,78,15,15,6,6,6,6,6,36,4,12,6,4,12,120,8,36,3,5,20,6,2,4,2,2,1,36,3,38,6,2,
10,8,18,4,8,4,1,2,2,78,10,10,10,6,38,16,4,4,4,4,18,18,2,2,2,2,2,2,2,6,18,8,1,1
,1,3,8,3,2,36,4,8,2,3,4,4,16,2,4,4,1,1,1,1,15,3,20,40,16,20,20,8,8,8,4,4,4,20,
20,8,8,8,4,4,4,4,4,4,4,4,20,32,8,8,8,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,16,16,
16,8,8,8,8,8,8,8,8,8,16,4,4,4,8,8,8,8,4,4,78,5,18,2,1,6,6,6,6,6,9,9,6,36,2,8,5
,5,15,9,3,3,3,1,1,6,2,2,2,2,2,2,2,2,2,18,3,3,3,2,22,10,6,2,6,10,4,6,2,4,4,4,10
,12,2,2,6,4,4,1,1,1,1,1,64,8,36,6,16,20,4,2,5,4,4,8,1,4,2,2,2,3,3,2,2,4,2,1,36
,4,4,4,4,16,4,4,8,8,8,8,2,2,2,2,2,2,2,2,2,3,4,4,1,32,6,8,2,4,1,8,3,4,2,2,2,2,
18,8,10,2,4,2,2,16,4,4,4,4,4,4,4,38,10,10,10,10,10,2,2,2,2,2,2,2,2,6,2,2,2,2,
18,18,1,8,8,8,4,1,16,4,4,4,4,4,8,2,2,2,1,2,2,4,4,4,16,2,2,2,2,2,4,8,4,1,16,4,4
,4,2,2,4,2,2,8,2,4,1,2,8,4,2,2,2,8,2,4,2,6,15,6,6,6,1,1,1,1,1,1,1,15,3,3,1,1,7
,3,1,7,3,3,1,20,4,8,20,8,8,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,8,16,4,4,4,4,4,4,4,4,
8,8,8,8,8,8,4,4,4,4,4,4,4,4,8,8,4,4,4,4,4,4,8,4,4,4,1,8,4,2,2,2,2,2,36,3,3,3,3
,3,3,3,5,6,6,6,2,2,2,2,1,36,6,2,2,8,8,4,5,18,1,1,1,1,1,1,3,3,3,2,4,2,2,2,2,2,3
,6,1,9,2,2,2,6,3,3,8,1,18,6,1,1,1,8,3,3,3,2,4,18,1,1,1,1,1,1,3,3,2,1,1,4,2,3,8
,3,3,2,1,1,3,4,6,4,3,3,4,1,4,2,10,2,2,2,2,4,4,4,6,10,12,4,4,2,2,2,2,4,6,2,2,2,
4,4,2,2,4,2,2,4,4,1,1,1,1,1,1,1,1,1,1,1,3,20,4,16,1,2,4,8,2,2,4,4,1,2,20,2,4,2
,1,10,2,4,32,6,8,8,2,2,2,2,2,16,4,4,4,4,8,2,2,2,2,4,4,1,1,1,8,4,2,1,3,2,2,20,4
,4,2,2,1,10,10,10,18,8,2,2,2,4,4,4,4,2,2,2,4,8,4,2,1,2,4,4,4,4,4,4,4,4,4,4,4,
16,4,2,2,2,2,2,2,8,8,8,2,2,2,2,2,2,2,2,2,2,2,4,1,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,8,8,2,2,2,4,4,4,4,4,4,2,2,2,2,2,2,2,4,4,4,8,2,2,2,2,2,2,2,2,2,2,2,2,4,4
,4,8,2,2,2,2,2,2,4,4,4,8,2,2,2,2,2,2,2,2,2,6,6,3,15,5,3,6,1,2,2,2,2,9,6,6,6,9,
3,6,2,2,2,2,1,1,1,1,1,1,1,36,8,6,2,2,3,15,3,3,1,10,3,1,1,7,1,1,3,7,1,1,1,3,3,1
,3,1,3,1,3,1,1,1,1,1,1,1,1,4,8,4,4,4,4,8,4,4,4,4,4,4,4,4,1,36,5,4,8,1,2,3,3,3,
3,3,3,3,3,4,4,4,2,2,2,2,1,6,2,2,2,4,2,2,2,2,2,2,2,6,1,8,1,16,4,5,1,4,4,4,2,2,3
,1,1,1,1,1,6,3,2,2,2,16,4,5,1,2,2,2,2,6,3,2,2,1,1,1,1,1,3,4,2,4,4,2,2,6,4,1,18
,4,1,1,1,1,1,1,1,4,4,8,8,2,2,2,2,3,1,1,1,3,2,8,1,3,2,2,6,1,1,1,1,4,4,2,3,6,4,1
,1,1,1,3,4,2,2,4,1,1,8,3,2,1,1,4,1,4,1,4,1,4,4,3,3,1,3,4,1,1,2,4,1,1,2,2,4,3,1
,1,4,2,1,1,4,2,10,2,2,2,2,4,2,2,2,2,2,4,6,4,4,2,2,2,2,2,2,4,4,4,2,2,6,1,1,1,1,
1,1,1,1,1,1,1,1,1,3,3,3,1,1,1,1,20,4,4,2,2,2,2,1,8,4,2,2,20,8,4,4,4,4,4,4,2,2,
2,2,2,2,2,2,1,1,10,2,4,4,8,16,8,8,2,2,2,2,4,2,2,2,2,2,4,4,4,2,1,1,4,2,2,4,2,4,
8,4,2,2,2,2,1,2,4,2,2,2,2,2,2,2,4,2,4,8,4,2,2,2,4,1,2,2,2,4,4,4,8,2,1,2,2,2,4,
2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,8,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,2,2,1,3,
15,5,3,1,1,3,2,2,1,5,1,2,3,6,3,3,3,3,3,2,3,3,1,3,1,3,3,1,1,3,9,3,1,6,2,2,2,2,9
,1,1,3,3,3,2,2,2,2,3,1,2,1,22,6,6,2,6,2,2,3,4,12,4,10,2,3,1,1,2,1,1,3,4,1,1,4,
3,1,1,7,1,1,3,1,3,1,3,1,1,1,3,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,4,1,20,4,2,1
,1,1,2,2,4,2,2,1,4,1,16,5,4,4,4,1,1,1,1,1,1,2,2,2,2,2,2,2,4,8,3,3,3,2,2,1,1,1,
1,1,1,4,4,2,2,3,2,1,8,2,4,2,1,1,4,4,4,2,2,2,2,4,6,1,1,4,2,4,2,2,2,2,2,2,2,2,8,
1,2,1,1,1,4,3,2,2,2,1,2,1,1,4,1,1,1,8,2,3,2,2,4,1,1,1,2,8,1,3,2,2,1,2,1,2,2,2,
4,1,2,4,1,2,4,1,2,2,1,1,4,2,4,4,1,1,1,1,2,2,3,2,1,1,4,4,2,2,2,2,2,2,2,2,2,4,6,
6,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,15,5,3,2,1,1,1,1,1,1,1,3,3,3,1,1,1,1,1,3
,3,1,8,4,2,2,4,2,2,4,2,4,2,8,4,2,2,2,2,2,2,2,4,4,4,2,1,2,4,2,2,2,4,2,2,2,2,4,4
,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,1,5,1,1,1,2,1,3,3,1,1,1,6,3,1,1,2,3,3,1,3,1,1,4
,6,2,2,9,3,1,1,3,2,2,3,1,3,1,4,2,3,3,3,3,3,1,1,3,1,1,4,2,3,1,1,3,1,3,1,1,1,3,1
,1,3,1,3,3,1,1,1,1,2,2,1,3,2,2,2,4,1,1,2,3,3,1,2,1,1,1,3,10,4,4,6,2,2,10,2,4,
12,4,4,4,4,6,2,2,2,10,2,3,1,4,2,2,1,2,1,2,1,1,1,1,1,2,4,3,1,4,1,3,1,1,3,1,1,1,
1,1,1,1,1,1,1,1,20,4,4,2,2,2,2,2,1,1,1,4,2,2,1,4,2,1,8,4,4,2,1,1,1,1,2,2,2,2,2
,2,4,1,1,2,1,2,4,1,1,2,1,2,1,2,2,4,2,1,2,2,2,2,1,1,1,1,1,1,1,1,1,1,4,4,4,8,3,2
,2,2,2,1,1,2,1,2,1,1,2,1,1,2,2,2,1,1,1,2,2,1,2,2,1,2,1,2,2,1,1,2,1,2,1,1,1,2,2
,1,2,1,2,2,2,2,2,2,2,2,4,1,2,2,2,6,3,2,3,6,2,2,2,2,6,2,2,2,2,2,1,1,1,1,8,2,2,2
,2,15,5,3,1,3,2,1,7,1,3,3,2,7,1,3,3,2,1,3,1,1,1,1,1,1,1,3,3,1,1,1,1,1,3,1,1,1,
1,1,1,1,2,4,2,2,1,1,1,3,1,2,1,1,6,4,1,2,2,4,1,2,3,1,3,1,1,1,3,2,2,1,1,1,3,1,1,
4,2,3,1,1,1,1,1,1,1,2,4,2,2,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,4,1,1,2,2,
3,2,4,1,1,2,2,2,1,1,1,3,2,4,2,10,2,2,2,2,4,4,2,2,4,4,4,6,2,2,2,2,2,4,2,2,4,2,2
,2,1,4,2,2,2,1,2,1,1,1,1,2,4,3,1,1,1,1,1,1,1,1,1,1,3,2,8,4,2,2,2,4,2,2,2,1,1,2
,4,2,2,1,2,4,1,2,1,4,2,2,2,2,1,1,1,2,2,2,1,2,1,2,1,2,2,1,1,2,1,2,2,1,1,2,1,1,2
,2,6,3,2,1,1,2,3,6,2,2,2,3,1,3,1,2,2,2,2,2,2,2,2,2,1,1,1,6,2,2,2,2,2,10,4,3,1,
1,2,4,1,1,7,1,1,3,1,3,1,3,2,1,1,1,3,1,1,1,3,1,1,1,1,1,3,1,1,1,1,1,1,3,1,1,1,1,
1,1,1,1,1,1,2,1,2,1,2,1,1,4,2,3,1,2,1,1,2,1,1,2,4,2,2,1,2,2,2,2,1,1,2,2,1,1,1,
1,2,2,1,1,1,1,1,1,1,4,2,2,2,2,2,2,2,2,2,4,2,2,1,1,1,1,1,5,2,1,1,3,2,3,3,2,2,1,
1,4,2,2,2,1,6,3,2,1,2,1,1,1,3,1,3,1,1,1,1,2,3,1,2,2,2,2,1,4,2,10,2,4,1,3,2,4,2
,2,4,2,1,1,1,1,4,3,2,2,4,3,1,2,2,1,1,2,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1
,2,1,2,1,2,1,1,2,1,1,2,2,1,3,2,1,1,5,1,2,1,3,2,3,2,1,1,1,3,3,2,2,3,2,1,1,1,1,1
,1,1,1,2,1,1,1,1,3,1,1,1,1,1,2,1,2,2,4,2,2,1,2,1,2,1,4,1,1,1,2,3,2,2,2,2,2,1,1
,1,2,2,1,6,2,3,3,1,1,1,1,4,1,2,1,1,1,1,1,1,1,1,1,1,1,1,3,1,2,1,1,1,1,1,1,1,3,2
,1,1,1,1,1,2,1,2,1,2,2,2,6,3,2,2,1,1,1,3,1,1,1,1,1,4,2,2,2,1,2,2,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,3,2,1
,1,1,1,1,2,1,1,1,1,1,1,1,3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,1,1
,1,1],[1430,254,30,22,440,98,8,26,254,70,14,14,14,6,14,14,6,6,6,2,6,70,6,10,2,
140,140,70,20,10,8,6,2,2,2,44,16,10,2,14,6,4,30,10,14,10,14,2,6,6,2,14,6,6,6,6
,6,2,6,2,2,6,6,6,6,2,2,70,10,6,2,2,10,6,6,2,10,2,2,2,2,2,2,2,2,2,2,2,10,2,2,2,
10,10,10,2,2,2,2,2,2,6,2,2,2,2,2,2,98,2,26,26,8,8,8,8,8,2,2,2,140,12,4,12,4,
254,70,44,2,10,14,14,4,2,8,2,6,44,2,10,14,8,6,4,8,2,8,2,2,30,12,8,4,10,4,4,8,4
,6,2,4,2,2,2,6,2,2,2,2,2,2,2,30,2,6,10,4,4,2,6,2,20,8,14,2,2,6,6,6,6,6,2,6,2,2
,6,6,6,2,10,10,10,2,2,2,2,2,2,2,2,2,2,10,10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,70,2,2,2,2,2,10,20,6,8,2,2,10,8,4,
4,2,2,2,4,2,2,2,2,14,2,2,2,4,2,2,2,30,2,6,2,4,4,4,4,12,4,4,4,4,4,4,4,30,6,6,70
,70,30,10,6,10,10,2,6,2,2,2,2,2,30,6,2,2,2,2,2,2,2,2,14,10,14,10,6,2,2,8,4,2,6
,2,2,4,2,4,4,8,2,8,2,2,4,8,2,4,4,4,2,2,2,6,2,4,2,4,4,4,4,2,2,2,2,2,2,2,2,2,2,
10,4,2,2,10,6,2,2,4,4,4,4,2,6,2,2,2,2,2,6,2,2,2,4,2,2,4,4,2,2,4,26,8,8,8,2,2,2
,2,2,2,2,2,2,2,2,2,2,20,8,4,4,2,6,2,6,6,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,70,2,2,2,44,2,2
,2,2,2,2,2,10,14,14,14,4,4,4,2,8,2,10,10,6,2,6,2,2,2,2,2,2,2,2,14,2,2,2,4,2,2,
2,2,2,2,6,2,2,2,2,2,2,4,2,2,4,4,6,2,4,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,2,2,6,2,2,
2,2,2,2,2,2,2,2,6,2,2,2,8,14,2,2,6,6,2,8,2,6,2,6,2,2,2,14,8,2,2,6,6,8,2,10,10,
6,2,6,2,2,2,2,2,2,2,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,2,2,2,4,4,4,4,2,2,2,
2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,4,4,4,4,4,
2,2,2,2,2,2,2,2,4,2,2,10,2,2,4,2,2,2,2,2,2,2,2,2,8,4,4,2,2,2,2,2,2,2,2,10,2,
140,70,10,2,4,4,4,4,6,2,4,4,6,6,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,30,2,2,2,10,6,2,2,2,2,2,2,2,2,2,2,10,
6,10,2,4,4,2,4,6,4,4,4,8,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,8,2,4,2,4,6,2,2,4,2,2,2,2,2,4,4,2,2,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,8,2
,2,2,2,2,2,2,2,2,2,2,8,10,10,2,2,10,4,2,2,2,2,2,2,2,6,2,6,10,2,4,2,10,2,2,2,2,
4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,4,2,2,2,2,4,4,2,2,2,2,2,2,2,2,
2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,2,4,2,2,14,2,2,2,2,2,4,2,2,
2,2,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,30,10,6,6,12,4,2,4,4,4,4,4,4,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,14,2,2,2,2,8,8,6,2,2,8,2,2,2,2,6,2,2,2,2,2,2,2,8,2,2,2,2,
2,2,2,2,2,2,4,2,2,2,2,4,4,4,2,2,2,2,2,4,2,4,2,2,2,2,2,4,2,2,2,2,2,2,2,2,4,2,2,
2,2,30,10,10,4,2,4,2,2,20,10,8,4,4,4,10,2,6,10,2,2,2,2,2,6,6,2,2,2,2,4,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2
,4,4,2,2,2,2,2,2,4,2,2,4,2,2,2,2,2,2,2,2,4,4,2,4,4,2,2,2,6,2,2,2,2,2,2,2,2,4,4
,4,4,2,2,2,2,2,2,2,10,2,10,2,4,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,4,2,2,4,2
,4,2,2,2,2,2,2,2,2,2,2,4,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,70,
10,2,2,2,6,4,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,6,4,2,4,8,4,10,2,2,2,
2,6,6,6,2,2,2,2,2,2,2,2,2,2,4,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,6,4,2,4,2
,4,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,4,2,2,2,4,2,2,2,2,2,2,2,2
,2,2,2,10,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,2,2,2,2,2,4,4,2,2,2,2,2
,2,2,2,2,6,4,2,2,2,2,2,2,2,2,2,2,2,2,4,2,4,2,2,2,30,2,2,2,2,4,4,2,2,2,2,2,2,2,
4,2,2,2,4,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,6,2,4,2,2,2,2,2,2,2,2,2,2,
10,2,2,2,2,4,2,2,2,2,2,2,2,2],[1287,303,15,71,297,63,18,135,147,11,31,71,15,15
,7,7,3,35,15,3,63,15,11,3,57,2,141,63,5,11,33,3,6,15,2,6,69,17,11,6,15,3,2,6,1
,31,71,7,7,7,7,7,11,3,3,3,3,15,15,15,35,1,3,3,3,3,15,1,63,31,15,15,15,1,7,7,7,
11,1,1,1,1,7,7,3,3,3,3,3,3,3,1,1,1,1,11,31,1,3,3,3,3,7,15,7,7,3,3,1,1,1,1,1,63
,18,18,57,1,13,2,1,13,135,21,27,6,11,9,3,5,3,27,33,9,5,5,9,17,3,7,5,2,3,1,69,5
,5,5,11,33,15,3,3,5,5,17,17,1,1,1,3,3,3,3,9,15,7,2,2,6,9,2,27,3,7,1,3,3,15,5,3
,3,4,2,12,3,2,11,35,1,15,3,3,3,3,3,15,15,7,7,7,3,3,3,1,11,11,1,7,7,7,3,3,3,3,3
,3,3,3,3,3,3,3,1,1,1,11,31,1,7,7,7,7,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,15,15,15,
7,7,7,7,7,7,7,7,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,7,15,3,3,3,3,3,3,7,7,1,1,1,1,1,7,7,3,3,3,3,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,63,6,15,2,6,6,11,33,3,9,6,6,18,6,2,2,6,2,2,15,6,6,2,27,5,7,1,2,5,1,
1,7,1,1,1,1,5,13,1,1,1,7,1,3,1,3,6,3,3,63,21,27,11,15,11,1,5,3,6,3,3,7,2,1,3,2
,1,1,3,1,27,3,3,3,3,15,3,3,7,7,7,7,1,1,1,1,1,1,1,1,5,1,3,3,31,11,7,1,3,5,2,7,2
,1,3,1,1,1,1,1,17,7,5,5,3,1,3,15,3,3,3,3,3,3,3,33,5,5,5,5,5,1,1,1,1,1,3,3,3,3,
9,1,1,1,1,17,17,7,7,9,5,2,1,1,1,1,15,3,3,3,1,3,3,7,5,1,1,1,1,3,3,3,15,1,1,1,1,
1,3,7,1,3,15,3,3,3,1,1,1,3,1,1,7,5,3,1,1,7,1,3,5,1,5,7,1,3,1,1,1,1,1,2,18,2,2,
2,12,3,4,1,2,1,6,3,1,6,3,4,1,15,1,3,7,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,11
,7,7,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,7,3,1,3,3,3,3,3,7,15,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,7,7,7,
7,7,1,7,3,3,3,3,3,3,3,3,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,7,7,3,3,3,3,
3,3,3,3,7,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,21,5,1,27,6,9,9,9,5,33,11,3,3,9,9,5,6,15,2,2,2,2,2,2,2,2,2,1,3,6,6,9,9
,2,15,9,2,2,9,6,6,2,5,15,2,2,2,2,2,2,6,6,3,3,1,9,2,2,3,9,3,3,1,1,1,1,5,1,1,1,1
,1,1,1,1,1,1,1,1,7,1,5,13,1,1,1,1,1,1,3,1,1,7,1,1,1,1,1,1,1,1,3,1,1,1,3,1,1,1,
1,1,3,1,1,1,3,3,1,1,1,1,4,1,3,2,1,1,3,11,3,15,3,3,5,3,7,3,3,5,3,2,1,1,1,11,5,3
,3,3,5,5,3,31,11,7,7,3,3,3,3,3,15,3,5,5,5,7,1,1,1,1,1,3,3,1,1,1,1,2,2,2,7,3,1,
1,1,3,5,2,1,11,3,3,1,1,1,5,5,5,17,7,1,1,1,3,3,3,3,1,3,1,1,3,7,3,3,1,1,3,3,3,3,
3,3,3,3,3,3,3,15,1,1,1,3,1,1,1,1,1,1,7,7,7,1,1,1,1,1,1,1,1,1,1,1,3,5,3,5,1,1,1
,1,1,5,5,1,1,1,1,1,1,1,1,1,7,7,1,1,5,5,5,3,3,3,3,3,3,1,1,5,1,1,1,1,3,3,3,7,1,1
,1,1,1,5,5,1,1,1,1,1,1,1,3,3,3,7,1,1,5,1,1,1,1,3,3,3,7,1,1,1,1,1,1,1,1,5,5,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,6,18,6,6,2,6,6,2,1,2,57,21,2,
1,12,1,4,3,5,1,2,1,2,6,3,2,1,2,6,1,1,1,4,3,2,4,1,4,1,4,2,1,2,3,3,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,7,3,1,3,3,3,1,3,3,3,3,3,3,1,1,1,1,3,3,3
,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,7,3,3,3,3,3,1,1,1,1,3,3,3,1,1,1,3
,3,3,3,3,3,3,3,1,1,1,1,1,1,1,1,1,1,3,3,3,1,1,1,1,3,3,3,1,1,1,1,3,3,1,1,1,1,1,1
,27,6,3,7,2,2,3,3,3,1,1,11,3,3,3,5,1,1,1,9,9,2,15,3,6,2,3,3,3,2,9,5,1,15,3,6,2
,1,1,9,2,3,1,1,3,5,1,3,9,3,15,5,2,2,2,2,2,2,2,3,3,9,9,3,3,1,1,6,2,7,2,2,1,1,9,
3,3,1,9,3,3,1,1,3,9,3,2,2,3,3,3,3,3,1,3,1,3,1,1,3,3,1,2,1,1,1,1,1,1,1,5,1,1,1,
1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,7,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,3,3,1,1,1,1,1,1,1,2,2,2,2,2,1,3,3,3,1,3,1,3,1,
11,1,3,1,3,1,1,1,1,1,1,1,1,1,1,7,3,1,3,3,1,1,1,1,11,7,3,3,3,3,3,3,1,1,1,1,1,1,
3,1,1,5,1,3,3,7,15,7,7,1,1,1,1,5,3,3,3,3,3,3,3,3,5,1,1,1,1,3,2,1,1,3,1,1,1,3,1
,3,1,3,7,3,1,1,1,1,1,3,1,1,1,5,1,1,1,1,1,3,1,3,7,3,1,1,1,3,3,1,1,5,3,3,3,7,1,1
,1,1,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1,1,5,1,1,1,1,1,1,5,1,1
,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,7,1,1,1,1,1,1,1,5,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,5,1,1,1,1,1,1,1,5,1,1,1,1,1,1,1,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,2,2,2,2,2,1,18,6,2,2,6,6,2,9,6,6,2,6,2,6,6,2,2,6,2,2,2,2,6,2,1,27,11,7,3,2,1,
1,13,5,5,1,1,1,2,1,1,1,1,1,2,1,3,1,1,1,2,3,1,1,1,1,2,6,1,1,4,3,1,2,4,1,2,2,4,1
,2,2,2,2,4,1,1,3,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,3,1,1
,1,1,1,1,3,3,3,1,1,1,1,1,1,1,1,1,1,1,3,1,3,3,1,1,1,11,3,5,5,3,3,3,5,3,2,15,6,3
,3,3,2,2,2,2,2,2,1,1,1,3,7,2,2,2,1,1,1,1,1,3,3,5,9,3,3,1,2,3,3,3,1,1,1,1,3,9,3
,1,5,1,1,1,1,1,3,3,3,7,1,2,2,2,3,2,1,1,5,5,3,2,2,2,7,5,2,1,1,3,2,2,2,1,7,2,1,1
,1,1,1,1,3,1,3,1,3,1,1,3,1,3,3,1,1,1,1,3,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3
,1,1,1,1,6,1,1,1,1,2,2,12,6,3,2,2,3,3,1,3,1,3,3,1,1,3,1,1,1,3,3,1,1,1,1,3,1,1,
1,1,1,1,1,3,3,7,3,3,1,1,3,1,1,1,1,3,3,1,1,1,1,1,1,1,1,1,1,1,3,3,3,1,3,1,3,3,1,
1,3,3,1,3,7,3,1,1,1,1,1,1,1,3,3,3,1,1,3,1,1,1,1,3,1,1,1,1,1,1,3,3,1,1,5,1,1,1,
1,1,3,3,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,2,2,1,6,2,2,2,6,2,9,3,9,6,2,2,2,6,3,2,3,6,2,2,6,2,2,2,2,2,
2,2,2,1,3,2,2,1,5,1,3,1,7,1,3,5,1,3,13,1,1,5,3,7,1,3,1,5,1,1,1,1,1,1,3,1,1,1,1
,1,1,1,1,1,1,1,1,1,2,1,1,1,1,3,1,1,1,1,1,2,3,1,1,1,2,2,4,1,2,2,2,1,2,1,1,3,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,11,3,3,1,1,1,1,1,1,1,3,1,1,3,5,2,7,3,3,1,1,1,5,3,1,1,
3,2,1,5,1,3,2,1,1,1,1,1,3,3,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,7,2,1,1,1,5,5,1,5,5,
1,1,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,2,1,2,2,2,2,2,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,21,12,6,1,2,4,3,6,1,2,
3,6,3,2,1,2,2,4,1,1,1,1,2,1,1,3,1,2,2,3,1,3,1,3,1,3,1,1,3,1,1,1,3,1,3,1,1,1,1,
1,1,1,1,1,3,1,1,1,1,1,1,3,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,3,3,1,3,1,1,1,1,1,1,1,
3,2,1,1,5,9,3,3,6,2,1,3,2,2,3,1,2,2,2,3,1,3,1,2,2,2,2,1,1,1,1,5,1,1,1,1,3,1,3,
1,1,1,1,1,3,1,1,7,1,1,3,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,3,1,1,1,1,1,1,1,3,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,2,1,3,1,2,1,1,3,1,1,1,1,1,1,1,3,3,7,3,3,1,
1,1,1,1,1,3,3,3,1,1,3,2,1,1,1,1,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,5,1,1,1,1,1,1,1,2,1,2,1,2,1,2,2,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,11,3,5,3,1,2,1
,5,1,2,6,1,1,4,2,2,3,1,2,2,4,1,2,4,2,2,1,2,4,1,2,2,2,1,1,1,1,1,1,3,1,1,1,1,3,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,1,1,3,1,1,5,1,3,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,6,3,3,3,1,3,3,1,3,1,3,1,1,1,1,1,1,1,1,3,1,3,1,1,1,1,1,1,1,1,3
,1,3,1,1,1,1,1,2,1,2,1,2,1,2,1,1,1,1,3,3,5,1,3,1,1,5,1,3,3,1,1,1,1,1,1,2,1,3,1
,1,3,1,1,1,1,1,2,1,1,1,4,2,1,2,2,2,2,2,1,2,1,1,1,1,1,1,3,1,5,1,1,1,1,1,1,1,1,1
,1,1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,6,2,2,1,2,1,2,1
,3,2,3,3,1,1,3,1,3,1,1,3,1,1,1,1,1,1,1,1,1,1,2,6,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,3,1,1,1,1,1,1,1,1,2,1,1,1,1,2
,2,2,1,1,1,1,1,1,1,1,1,1,3,2,2,2,2,1,2,2,2,1,1,2,1,3,1,1,1,1,4,2,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,2,1,2,1,1,1,1,1,2,3,1,1,1,3,1,1,2,2,1,2,2,2,1,1
,1,2,1,1,1,1,1,1,1,1,1,2,1,1,3,1,1,1,1,1,1,1,1,2,1,1,2,2,1,1,2,1,1,1,1,1,1,1,1
,1,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[858,270,6,50,360,105,12,
252,126,30,40,50,6,6,4,4,18,12,2,112,12,30,2,168,3,176,105,35,24,3,12,9,2,72,8
,35,9,3,2,60,30,40,50,4,4,4,4,4,30,6,6,6,18,2,2,2,2,2,12,112,40,12,12,12,30,4,
4,4,30,2,2,6,6,2,2,2,2,2,30,2,30,40,30,2,2,2,2,6,12,4,4,2,2,6,105,12,12,12,12,
168,20,1,3,20,1,252,105,60,12,30,3,3,60,24,3,3,8,4,9,3,1,72,35,24,16,9,9,8,8,1
,1,3,3,3,3,3,9,4,3,2,60,3,4,1,16,1,3,16,4,30,30,18,2,12,6,6,4,4,4,2,2,2,30,30,
30,6,6,6,2,2,2,2,2,2,2,2,2,2,30,40,30,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
12,12,12,4,4,4,4,4,4,4,4,2,2,2,2,2,2,30,2,2,2,2,2,6,12,2,2,2,4,4,2,2,6,6,2,2,6
,2,2,6,2,6,2,105,12,9,12,2,2,35,35,3,3,12,12,12,2,2,2,2,9,2,12,66,12,6,3,1,12,
6,12,20,6,1,2,2,60,3,3,112,105,60,35,12,30,30,9,3,12,3,3,4,2,2,2,1,1,60,16,3,3
,4,4,4,4,1,1,1,1,1,1,40,35,4,30,3,9,4,2,2,2,1,1,8,4,1,3,16,24,3,3,3,3,3,1,1,1,
1,8,8,4,4,3,9,30,16,1,3,4,1,1,16,1,1,3,4,1,16,1,1,3,4,1,4,1,4,1,3,12,12,12,4,
30,2,6,6,2,6,2,4,30,2,2,2,30,30,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,30,30,6,2,2,2,
2,2,2,4,2,2,2,6,12,2,2,2,2,2,2,2,2,4,4,4,4,4,2,6,2,2,2,6,2,2,2,2,2,2,2,6,6,2,2
,2,2,2,2,6,2,2,2,6,2,2,2,6,2,2,2,2,2,105,9,12,1,60,12,3,3,3,35,35,3,3,3,3,9,12
,9,2,2,2,1,1,2,2,3,3,9,3,3,2,9,9,3,1,1,3,2,2,3,3,1,1,12,6,12,20,2,6,1,2,2,2,2,
2,16,1,3,4,1,1,30,3,12,4,3,3,9,2,1,2,30,3,40,35,4,4,3,3,3,3,3,12,3,9,9,9,6,30,
1,1,1,1,2,2,2,2,2,2,4,2,30,3,2,1,8,4,1,3,6,3,1,16,3,1,1,1,1,1,1,4,4,4,1,4,4,1,
1,4,1,4,1,4,1,6,2,3,3,1,12,12,2,12,2,2,2,12,2,30,168,105,3,3,30,2,12,6,6,2,2,2
,2,3,30,6,2,2,2,2,2,2,2,2,4,2,2,2,2,2,6,2,2,6,6,2,2,6,2,2,2,2,2,6,2,2,2,2,2,2,
2,2,2,2,60,12,3,4,2,1,1,1,35,3,3,3,9,1,1,1,2,3,3,12,16,12,1,3,3,2,3,16,12,1,1,
3,2,1,3,9,1,3,3,3,9,9,1,1,3,3,3,3,1,1,2,4,2,1,3,3,1,1,3,3,1,1,1,1,3,3,1,1,1,1,
1,1,1,2,1,1,1,1,1,1,12,2,3,2,6,2,2,2,12,4,1,30,30,2,2,3,1,30,4,2,1,3,30,2,30,6
,3,3,2,2,2,2,1,1,1,1,1,1,3,6,12,4,4,1,1,1,1,9,3,3,3,3,3,2,2,2,2,1,2,1,3,6,2,1,
1,1,6,3,1,1,1,2,3,6,1,1,1,2,2,1,4,1,2,3,1,3,3,1,1,1,12,12,12,3,2,2,2,2,2,2,2,2
,66,35,6,3,3,1,1,20,9,1,12,2,2,6,2,2,2,2,3,1,1,2,2,6,2,2,2,2,2,2,2,2,30,3,3,3,
16,12,1,1,1,3,4,2,2,2,1,1,3,3,1,1,3,3,3,1,1,1,1,3,3,1,1,9,1,1,1,1,1,3,3,3,4,2,
1,4,2,1,4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,3,1,1,2,12,2,2,60,30,30,30,
12,30,2,30,2,2,2,4,2,3,1,2,2,1,6,6,2,1,2,2,1,6,3,1,1,1,1,1,1,1,2,2,2,2,1,2,2,1
,1,2,3,1,3,1,1,1,1,12,12,3,3,3,2,2,1,1,2,2,2,1,1,2,12,3,6,3,12,3,20,9,2,6,3,1,
1,12,2,1,2,2,2,1,2,30,2,3,1,30,2,2,1,6,3,3,1,1,1,3,3,1,4,2,1,1,1,1,1,1,1,1,1,1
,1,1,3,3,1,1,12,2,6,4,2,2,105,3,30,12,2,6,2,6,2,2,6,2,2,2,2,2,2,1,3,1,1,3,3,3,
1,1,1,1,1,1,1,1,2,2,12,3,2,1,2,6,3,1,2,1,2,1,2,1,2,12,3,30,2,2,6,3,2,1,1,1,6,2
,1,2,2,1,1,1,3,1,1,1,12,2,2,2,35,3,1,12,3,9,6,2,2,3,2,2,2,1,2,1,3,1,1,1,1,1,1,
3,2,1,1,12,6,2,2,2,1,2,3,1,1,2,30,3,3,12,3,9,1,3,3,2,1,2,1,1,2,1,12,1,3,1,1,12
,2,2,2,1,60,2,1,3,3,1,2,1,1,1,1,3,1,3,2,16,4,1,3,1,1,3,3,1,1,4,3,1,1,3,1,1,1,
30,1,1,6,2,2,12,2,3,1],[715,199,15,51,220,49,4,13,127,101,7,27,51,15,15,7,7,3,
25,13,3,57,13,7,3,70,106,49,10,15,26,3,5,13,1,7,4,52,12,15,1,13,3,3,15,5,27,51
,7,7,7,7,7,7,3,3,3,3,15,15,15,25,1,3,3,3,3,13,1,57,27,13,13,13,5,7,7,7,7,1,1,1
,1,5,5,3,3,3,3,3,3,3,5,1,1,1,7,27,5,3,3,3,3,5,13,7,7,3,3,1,1,1,3,1,49,1,13,13,
4,4,4,4,4,1,1,1,70,6,14,6,14,127,35,22,1,5,7,7,2,1,4,1,3,22,1,26,7,4,10,5,12,4
,6,7,1,3,1,52,10,10,10,15,26,12,4,4,7,7,12,12,2,1,1,3,3,3,3,7,13,6,1,1,1,1,5,3
,22,1,6,2,1,3,4,12,4,3,1,1,7,3,3,10,4,7,25,1,13,3,3,3,3,3,15,15,7,7,7,3,3,3,1,
7,7,5,5,5,5,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,7,27,5,5,5,5,5,3,3,3,3,3,3,3,3,3,3,3
,3,3,3,3,3,13,13,13,7,7,7,7,7,7,7,7,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,13,3,3,3,3,3,3,7,7,1,1,1,1,1,5,5,3,3,3
,3,3,1,1,1,1,1,3,1,1,1,3,1,1,1,49,5,1,13,1,1,4,4,4,4,4,7,7,15,25,3,5,5,5,13,7,
3,3,1,1,1,4,2,2,2,2,1,1,13,1,1,1,3,1,1,1,30,2,6,2,2,2,6,6,2,6,6,6,2,14,2,2,2,6
,2,2,2,2,15,3,3,57,35,22,15,13,7,5,7,3,5,1,1,6,1,1,3,3,1,1,2,3,2,1,22,4,4,4,4,
12,1,1,6,6,6,6,1,1,1,1,2,2,2,2,4,1,3,3,1,27,15,7,5,3,7,1,6,3,1,3,1,1,2,1,2,12,
6,10,4,4,1,3,12,4,4,4,4,4,4,4,26,10,10,10,10,10,2,2,2,2,3,3,3,3,7,1,1,1,1,12,
12,1,6,6,5,7,1,5,2,1,1,12,4,4,4,2,3,1,6,4,2,2,1,1,1,4,4,4,12,2,2,2,1,1,1,6,3,1
,12,4,4,4,1,1,1,2,2,6,4,3,1,2,2,6,4,4,1,4,6,2,4,2,1,2,13,4,4,4,1,1,1,1,1,1,1,1
,1,1,1,3,3,3,1,1,1,10,4,2,6,4,6,4,2,15,1,3,7,3,3,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,5,7,5,5,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,5,5,3,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,7,3,1,3,3,3,3,3,5,13,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,
7,7,7,7,7,1,5,3,3,3,3,3,3,3,3,3,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,5,5,3,
3,3,3,3,3,3,3,5,3,3,3,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,35,7,1,1,1,22,1,1,1,1,1,1,1,5,7,7,7,2,2,2,1,4,1,25,15,3,3,5,5,7,5,
13,1,1,1,1,1,1,3,3,3,1,3,1,1,4,1,7,1,2,2,2,7,1,1,1,5,1,1,13,7,1,1,1,1,5,1,1,3,
7,13,1,1,1,1,1,1,1,1,3,1,1,3,1,1,5,3,3,1,1,1,1,1,7,1,1,3,1,1,3,1,1,1,1,6,2,2,2
,2,2,2,2,2,2,2,2,6,6,6,6,2,14,6,6,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,7,3,1,3,3,1,1,4,7,1,13,3,3,1,4,4,7,3,3,7,3,1,1,1,1,7,4,1,1,3,3,10,
4,4,27,15,7,7,3,3,3,3,3,13,1,7,7,7,5,5,1,1,1,1,3,3,1,1,1,1,1,1,1,6,3,1,1,1,4,4
,1,3,7,1,3,1,2,1,10,10,10,12,6,2,2,2,4,4,4,4,1,3,2,4,5,1,3,2,1,1,4,4,4,4,4,4,4
,4,4,4,4,12,1,1,1,1,1,1,1,6,6,6,2,2,2,2,2,2,2,2,2,2,2,3,1,4,4,4,2,2,2,2,4,4,2,
2,2,2,2,2,2,2,2,6,6,4,4,4,4,4,4,4,4,4,1,1,4,2,2,2,2,4,4,4,6,2,1,2,2,2,4,4,2,2,
2,2,2,2,2,4,4,4,6,1,4,2,2,2,2,4,4,4,6,1,2,2,2,2,2,2,4,4,2,2,3,2,1,1,2,1,2,1,13
,5,1,4,1,1,1,2,2,7,4,4,4,1,1,1,1,1,1,1,1,7,3,4,2,2,1,1,1,1,1,1,1,1,1,1,5,3,1,1
,1,1,1,1,70,35,10,2,2,2,2,2,6,2,6,2,4,2,2,2,2,2,2,3,3,5,3,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,3,3,7,3,1,3,3,3,1,3,3,3,3,3,3,1,1,1,1,3,3,3,1,3,1,1,1,
1,1,1,1,1,1,3,3,3,1,1,1,1,1,1,1,1,5,3,3,3,3,3,3,1,1,1,3,3,3,1,1,1,3,3,3,3,3,3,
3,3,1,1,1,1,1,1,1,1,1,1,3,3,3,1,1,1,1,3,3,3,1,1,1,1,3,3,1,1,1,1,1,22,5,1,6,1,3
,1,1,1,1,1,1,1,3,3,3,2,2,2,2,1,15,3,3,3,7,1,1,1,1,1,1,7,1,5,1,1,1,1,1,12,4,5,1
,3,1,1,2,2,3,1,1,1,1,1,7,1,4,2,1,12,4,5,1,1,1,7,3,2,2,1,1,1,1,1,1,3,2,1,7,1,3,
1,1,7,1,1,1,13,7,1,1,1,1,1,1,1,3,3,5,5,3,3,1,1,1,1,1,1,1,3,6,1,3,1,2,7,1,1,1,1
,1,3,1,1,1,7,1,1,1,1,1,1,3,1,1,1,3,1,1,5,1,3,1,1,1,3,1,3,1,3,1,3,3,1,1,1,2,1,3
,1,1,1,1,1,3,1,1,1,1,3,1,1,1,3,1,1,1,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1
,1,3,1,1,1,3,1,3,1,1,4,4,4,5,7,1,3,1,2,1,1,5,2,1,1,1,1,1,1,7,3,1,3,3,5,1,2,1,7
,5,1,1,3,3,3,3,1,1,1,1,1,1,3,2,2,1,1,10,2,4,1,5,13,7,7,1,1,1,1,7,3,3,3,3,3,3,3
,4,4,1,1,1,1,1,3,1,1,1,3,1,1,2,3,1,3,1,1,5,3,1,1,1,2,1,2,4,2,2,2,4,2,2,2,2,4,2
,4,5,1,1,1,1,3,3,1,2,2,4,4,4,1,5,1,2,1,1,1,1,3,3,2,2,2,2,2,2,2,2,3,3,1,2,2,2,2
,2,2,2,4,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,6,1,2,2,2,2,2,4,2,1,1
,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,4,1,2,2,2,2,2,4,2,1,1,1,13,5,1,1,1,1,2,
1,1,5,1,2,1,1,1,7,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,7,3,1,4,2,2,
7,1,1,3,3,1,2,2,3,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,30,15,6,3,6,14,7,2,2,2,2,2
,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,3,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,3,3
,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,3,3,3,1,1,1,1,1,1,1,1,1,1,1,3,1,3,3,1,1,7,1,1
,1,1,4,4,3,1,3,1,4,1,4,1,12,5,4,4,4,1,1,1,1,1,1,1,1,1,1,6,3,3,3,2,2,1,1,1,1,1,
1,3,3,2,2,1,4,1,5,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,7,1,1,3,1,1,7,1,1,1,1,1,3,
3,3,1,6,1,2,1,1,1,4,3,1,2,4,1,4,1,1,4,1,1,1,6,4,3,1,4,1,1,1,2,6,1,3,1,1,2,1,2,
1,1,3,1,1,3,1,1,3,1,1,1,1,1,1,1,3,1,3,3,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,3,2,6,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,1,1,4,2,1,1,1,1,1,1,
1,1,1,15,5,5,2,1,3,2,1,1,1,1,1,1,1,1,1,10,5,4,2,2,4,4,5,1,3,5,1,1,1,1,1,3,3,7,
3,3,1,1,3,2,1,1,3,3,1,2,3,3,2,1,1,1,3,3,3,1,3,1,3,3,1,1,3,3,1,3,5,1,1,1,1,1,1,
1,1,3,3,3,2,1,2,4,2,2,2,3,1,2,3,3,2,4,2,2,3,3,3,3,3,1,1,2,2,2,1,1,2,2,1,1,2,2,
2,2,2,2,1,2,2,1,1,1,1,1,1,1,1,1,5,1,1,1,1,1,1,1,1,1,1,7,1,1,1,1,2,1,1,1,1,1,1,
1,7,2,1,7,3,1,1,1,2,1,1,1,1,3,2,1,1,1,1,1,1,1,1,1,1,3,2,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,3,3,1,1,1,1,1,3,1,2,3,1,1,1,3,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,2,2,1,6,6,2,3,2,2,1,14,6,6,7,2,6,2,3,1,2,2,2,2,2,2,1,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,7,3,1,1,2,2,1,1,1
,5,1,2,1,3,1,1,1,4,4,1,5,1,1,2,1,1,1,1,1,1,4,3,1,2,4,1,1,2,4,1,2,4,1,1,2,1,2,1
,2,1,3,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1,1,1,4,4,4,6,3,1,2,4,1,1,4,1,2,1,1,4,1,1
,4,2,2,1,1,1,4,2,1,2,2,1,2,1,2,2,1,1,2,2,1,2,1,1,1,2,2,1,2,1,2,1,1,1,1,1,1,1,3
,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,4,2,4,2,2,1,1,2,2,1,1,1,1,1,1,1
,1,1,1,1,1,1,3,3,1,1,1,1,35,10,5,1,2,6,3,4,2,6,3,1,2,2,4,2,2,1,3,1,1,1,3,1,3,3
,1,1,1,1,1,3,1,1,1,1,1,1,3,1,1,1,1,3,1,1,1,1,2,2,3,3,3,1,3,1,1,4,1,1,7,1,1,2,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,2,1,1,1,1,1,1,1,1,3,1,2,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,2,1,1,3,1,1,2,1,1,1,1,3,1,1,1,1,1,1,1,1,1,6,2,2
,2,2,2,2,2,1,2,2,1,2,2,2,6,6,6,2,2,3,1,2,2,2,2,2,2,2,1,2,2,2,2,2,1,2,2,2,2,1,2
,2,2,2,2,2,2,2,2,2,2,1,1,1,1,3,2,1,1,2,1,1,4,2,5,1,1,1,1,3,3,5,1,3,1,1,1,1,1,2
,3,1,3,3,3,1,1,2,4,1,2,1,1,1,3,3,1,1,1,2,2,2,2,1,1,1,2,2,2,1,2,1,2,1,2,2,1,1,2
,1,4,2,1,1,2,1,1,2,2,1,1,1,2,1,1,1,4,2,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,1,1,1,1
,2,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,15,3,2,1,2,1,2,7,2,2,1,6,2,1,3,1,2,1,2,2,1,2,
1,1,2,1,2,2,2,2,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,4,1,2,1,2,1,1,1,1,1,1,1,1,1,1,
2,1,1,2,4,1,1,2,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,6,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,2,2,2,2,2,2,1,1,1,1,2,1,1,5,2,4,2,4,2,
3,1,3,3,1,1,1,1,1,1,1,3,1,3,1,1,1,1,2,3,3,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,2,1,1,1,1,1,5,1,1,1,3,2,2,1,7,1,3,1,2,2,2,2,2,1,2,1,2,1,2,2,1,1,2,1,2,1,2,
1,2,1,1,2,1,2,2,1,1,1,1,1,1,3,2,1,4,1,2,2,1,2,2,1,1,2,1,1,1,1,1,1,1,1,2,2,2,2,
2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,5,1,1,3,2,2,1,4,2,3,1,1,3,1,1,1,1,1,1,1,1,15,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,1,3,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,2,2,1,1
,2,3,1,2,2,1,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,2,1,1,2,3,1,2,1,1,1,1,7,3,3,1,1,1
,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,2,2,3,1,1,3,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,2,1
,3,1,3,3,1,1,2,1,2,1,3,1,1,1,1,2,2,1,1,1,5,3,1,1,1,1,1,1,1,1,1,1,1,2,3,1,1,1,2
,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[572,168,20,242,74,8,14,168,70,
20,20,20,2,2,70,2,20,112,2,112,70,20,8,8,2,42,2,20,6,6,2,40,20,20,20,20,2,2,70
,20,2,2,2,20,20,2,2,20,20,20,20,2,2,2,74,8,14,14,8,8,8,8,8,2,8,2,112,8,2,8,168
,70,42,6,10,20,6,4,2,2,2,42,6,10,6,2,2,4,2,2,2,2,2,40,20,8,8,2,2,2,2,40,2,2,10
,2,4,2,2,8,22,4,2,20,2,2,20,20,20,2,2,2,20,20,20,2,2,2,2,2,2,2,20,2,2,2,2,2,2,
2,70,8,2,8,20,22,2,8,8,10,4,2,2,2,4,2,2,2,2,6,6,6,2,8,40,8,2,8,8,8,40,4,4,4,4,
70,70,40,20,2,20,20,2,8,2,2,40,8,2,2,20,20,20,2,2,2,2,2,2,2,2,2,2,2,8,8,2,2,20
,2,10,2,2,2,2,4,2,2,2,2,2,2,8,2,8,2,2,2,2,2,2,2,2,2,14,8,8,8,2,8,2,2,2,8,2,2,2
,2,22,4,2,2,2,2,2,20,20,20,2,2,20,20,2,2,2,2,2,2,2,2,2,2,70,2,8,42,6,6,6,6,6,6
,6,10,6,6,6,4,4,4,2,2,20,20,2,8,2,6,6,6,4,2,2,2,2,4,2,2,2,4,2,2,2,2,2,2,2,4,2,
4,4,2,8,8,8,8,2,2,2,4,20,2,2,2,2,2,2,2,20,2,2,2,2,2,2,20,20,2,2,2,2,2,2,20,20,
2,2,2,2,2,2,2,8,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,10,8,2,4
,2,2,2,8,2,2,4,2,4,2,2,8,2,2,2,20,112,70,2,2,20,8,2,2,4,4,2,2,2,2,2,4,4,4,4,4,
20,2,2,2,2,2,2,40,8,2,20,2,2,8,10,2,10,2,4,2,2,4,2,2,2,2,2,2,2,4,4,2,2,8,8,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,4,2,2,2,2,2,4,2,2,2,2,2,2,2,8,2,8,8,2,2
,2,2,2,4,2,2,20,20,2,20,2,20,2,20,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,6,8,8,10,2,4,2,6,6,6,6,6,6,4,4,2,4,2,2,2,2,2,2,2,2,
40,20,2,8,2,8,2,2,2,2,2,2,2,2,2,2,20,2,2,2,2,2,2,2,2,2,2,2,8,8,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,4,2,2,2,40,20,20,2,2,22,10,4,4,2,2,
2,4,2,2,4,20,20,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,2,2,8,2,2,2,4,2,2,2,4,2,4,2,2,2,
4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,2,8,2,8,2,8,2,2,2,20,2,20,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,2,6,2,2,4,2,70,2,20,8,2,4,4,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,8,2,2,2,8,4,4,2,2,4,4,20,2
,2,2,2,2,2,2,2,2,2,2,2,8,2,4,2,2,2,20,8,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,10,4,2,4,2,2,2,2,2,2,2,2,2,2,20,2,8,2,2,2,2,2,8,2,2,4,2,2,2,2,2,
2,2,2,8,2,2,2,2,2,2,40,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,8,2,2,2,4,4,2,2,2,2,2,2
,2,20,2,4,2,2,2,2,2,2,8,2,2,2],[286,102,6,30,121,37,4,7,84,56,10,20,30,6,6,4,4
,16,10,2,42,10,10,2,56,1,65,37,1,15,17,3,5,9,1,5,4,33,9,15,3,9,3,3,20,10,20,30
,4,4,4,4,4,10,6,6,6,16,2,2,2,2,2,10,42,20,10,10,10,10,4,4,4,10,2,2,4,4,2,2,2,2
,2,10,2,10,20,10,2,2,2,2,4,10,4,4,2,2,4,37,4,7,7,4,4,4,4,4,1,4,1,56,12,1,1,12,
1,84,35,21,3,5,10,3,2,1,1,1,21,3,17,3,1,1,5,9,1,5,7,1,3,1,33,1,1,1,15,17,9,1,1
,7,7,9,9,1,1,1,3,3,3,3,3,9,5,1,1,1,3,5,3,21,1,5,1,3,3,1,9,1,3,1,1,8,4,11,2,1,
10,16,2,10,6,6,4,4,4,2,2,2,10,10,10,4,4,4,2,2,2,2,2,2,2,2,2,2,10,20,10,4,4,4,4
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10,10,4,4,4,4,4,4,4,4,2,2,2,2,2,2,10,2,2,2
,2,2,4,10,2,2,2,4,4,2,2,4,4,2,2,4,2,2,4,2,4,2,37,5,9,4,1,4,4,4,4,4,5,5,15,17,3
,5,5,5,7,5,3,3,3,1,1,4,2,2,2,2,2,1,9,3,3,3,4,26,4,6,1,1,4,6,4,12,6,1,2,2,20,2,
2,2,2,42,35,21,15,10,10,10,7,3,5,1,1,5,1,2,2,3,3,1,1,2,3,1,1,21,1,1,1,1,9,1,1,
5,5,5,5,1,1,1,1,1,1,1,1,1,1,3,3,3,1,20,15,4,10,3,7,1,5,3,2,2,1,1,1,1,9,5,1,1,1
,1,3,9,1,1,1,1,1,1,1,17,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,1,1,1,1,9,9,1,5,5,5,7,1,
10,1,9,1,1,1,1,3,1,5,1,1,1,1,1,1,1,1,1,9,1,1,1,1,1,1,5,1,3,1,9,1,1,1,1,1,1,1,1
,1,5,1,3,1,1,1,5,1,1,1,1,1,5,1,1,1,1,1,1,1,1,7,4,4,4,1,4,1,1,1,4,1,1,1,1,4,11,
2,3,1,5,1,2,5,2,1,3,6,2,4,10,2,2,2,10,10,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10
,4,2,2,2,2,2,2,4,2,2,2,4,10,2,2,2,2,2,2,2,2,4,4,4,4,4,2,4,2,2,2,4,2,2,2,2,2,2,
2,4,4,2,2,2,2,2,2,4,2,2,2,4,2,2,2,4,2,2,2,2,2,35,7,4,1,21,3,3,3,3,3,3,3,5,3,3,
3,2,2,2,1,1,17,15,3,3,5,5,7,5,9,1,1,1,1,1,1,3,3,3,1,3,2,3,4,1,5,2,2,2,3,3,3,5,
1,9,3,1,1,1,5,3,3,3,7,9,1,1,1,1,1,1,3,3,3,1,1,3,1,3,5,3,3,1,1,3,1,3,3,3,3,3,1,
4,6,4,12,2,6,1,2,2,2,2,2,8,2,2,4,2,2,2,2,10,1,10,1,1,1,4,3,3,7,2,1,1,2,10,1,1,
1,1,1,1,20,15,4,4,3,3,3,3,3,10,1,7,7,7,4,10,1,1,1,1,2,2,2,2,2,2,1,1,1,5,1,1,1,
3,1,10,1,2,1,1,1,1,1,1,1,9,5,1,1,1,1,1,1,1,1,3,1,1,1,4,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,9,1,1,1,1,1,1,1,1,1,1,5,5,5,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,5,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,5,1,1,1,1,1,1,1,1,1,1,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,4,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,3,7,5,3,4,1,1,1,2,2,5,4,4,4,4,1,1,1,1
,2,5,3,4,2,2,4,1,1,1,2,1,1,1,10,56,35,1,1,11,3,2,1,4,1,1,5,2,1,1,5,3,2,1,1,3,3
,3,1,1,2,2,2,2,2,10,4,2,2,2,2,2,2,2,2,4,2,2,2,2,2,4,2,2,4,4,2,2,4,2,2,2,2,2,4,
2,2,2,2,2,2,2,2,2,2,21,5,1,5,1,3,3,3,3,3,3,3,3,3,3,3,2,2,2,1,1,1,15,3,3,3,7,1,
1,1,2,3,1,5,1,4,9,1,5,1,3,1,1,2,2,3,1,1,1,1,1,3,3,1,1,9,1,5,1,1,1,3,3,2,2,1,1,
1,1,1,3,3,1,1,1,7,1,3,3,1,1,9,7,1,1,1,1,1,1,1,3,3,5,5,3,3,1,1,3,1,1,1,3,5,1,3,
1,1,3,1,1,1,1,1,3,1,3,3,1,1,1,1,1,3,3,1,1,3,1,1,5,3,3,1,1,3,1,3,1,3,1,3,3,3,3,
1,1,3,3,1,1,1,2,3,1,1,1,1,3,3,1,1,3,1,1,1,1,4,2,1,2,6,2,2,2,4,4,1,1,1,1,1,4,2,
2,2,2,2,2,10,10,2,2,1,1,1,1,1,10,1,4,2,1,3,10,2,1,10,4,1,1,2,2,2,2,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,4,10,4,4,1,1,1,1,7,3,3,3,3,3,2,2,1,1,1,1,2,2,1,1,2,1,1,4,2,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,1,1,1,1,2,1,1,1,1,1,1,1,4,1,1,1,1,1,2,1,
1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,3,7,5,3,1,
1,3,2,1,1,5,1,2,1,3,3,3,3,3,3,3,2,3,3,1,3,1,3,3,1,1,3,5,3,1,4,2,2,5,1,1,3,3,3,
2,2,3,1,2,2,1,1,2,26,15,6,3,1,1,1,12,7,1,4,1,1,2,1,2,1,5,3,2,1,1,3,1,1,3,1,1,1
,1,3,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,10,1,1,1,1,1,1,1,3,1,1,1,1,9,5,1,1,1,
1,1,1,1,1,1,1,1,1,1,5,3,3,3,1,1,1,1,1,1,1,1,1,1,1,3,3,2,2,3,1,1,5,3,3,1,1,1,1,
1,1,1,1,1,1,1,3,1,1,3,1,7,1,1,1,1,1,3,3,3,5,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,
1,5,1,3,1,1,1,1,1,1,1,5,1,3,1,1,1,1,1,1,1,1,3,1,1,3,1,1,3,1,1,1,1,1,3,1,3,3,1,
1,1,1,1,1,3,1,2,1,1,1,3,1,1,1,1,1,1,1,1,2,4,4,4,2,1,2,1,2,1,1,1,1,20,10,10,1,1
,11,5,2,2,1,1,1,2,2,2,2,2,2,2,2,2,10,2,1,10,2,2,2,1,4,2,3,1,1,1,2,2,1,1,1,1,4,
1,4,1,2,1,2,2,1,4,1,1,1,1,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,4,1,1,5,1,1,1,1,1,3,3,1,1,1,3,3,1,1,2,3,3,1,3,1,1,1,3,2,5,3,1,
1,3,2,3,1,3,1,3,2,3,3,3,3,3,1,1,3,1,1,3,2,3,1,1,3,1,3,1,1,1,3,1,1,3,1,1,3,3,1,
1,1,1,1,3,1,2,3,1,1,3,3,1,2,1,1,1,3,1,4,1,6,3,4,1,12,7,2,6,3,1,1,4,2,1,1,1,2,1
,2,1,1,3,1,1,1,1,2,2,2,10,2,1,1,1,1,1,1,1,10,2,1,1,2,1,1,1,1,1,4,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,5,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,1,3
,4,2,4,2,2,2,2,2,1,4,4,2,1,2,35,1,11,5,1,3,2,1,1,5,3,2,2,1,5,2,3,1,1,3,1,2,1,1
,2,2,2,2,2,2,4,2,1,1,1,2,2,2,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,3
,1,1,2,1,1,3,1,3,1,1,1,3,1,1,1,1,3,1,1,3,2,3,1,1,1,1,1,1,1,3,1,2,1,1,1,3,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,3,1,3,1,1,2,3,1,3,1,1,2,1,1,1,1,3,2,1,1,1,4,1,2,1,2,6,3
,1,2,1,2,1,2,1,1,1,1,2,1,1,1,1,4,2,2,1,1,2,2,10,2,2,1,4,1,2,1,1,1,1,1,1,4,2,1,
1,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,3,4,2,3,1,3,1,2,2,1,2,2,1,2,2,15
,3,1,4,1,1,1,7,1,1,5,3,1,3,2,1,1,1,1,1,3,1,1,3,1,1,1,1,3,1,1,1,2,1,2,2,1,1,1,1
,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,2,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,2,1,1,1,1,1,1,1,1,2,2,1,5,2,1,2,2,2,2,2,2,2,4,2,2,2,1,2,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,3,1,3,1,1,1,1,3,1,2,2,1,10,1,3,4,1,7,1,3,1,1,1,2,1,2,1,1,1,1,3,1,
1,1,1,1,1,1,1,1,1,1,1,1,4,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,5,1,1,1,3,2,1,1,2,2,3,2,2,2,2,1,1,2,1,1,1,20,3,1,1,1,1,1,1,2
,1,3,1,1,1,2,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,3,1,1,1,2,1,1,8,4,1,1,1,1,1,2,2,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,4,1,1,1,2,1,1,1,2,2,2,2,1,1,10,1,1,1,2,1,1,1,1,2,4,2,1,1,1,2,2,1,1,2,1,2,1,
1,1,4,1,2,1,1,1,1,1,1],[156,72,20,90,42,12,72,42,20,20,20,6,6,42,6,20,56,6,56,
42,20,12,12,6,2,30,2,20,6,2,30,20,20,20,20,6,6,42,20,6,6,6,20,20,6,6,20,20,20,
20,6,6,6,42,12,12,12,12,56,12,6,12,2,72,42,30,12,20,6,6,2,30,12,6,2,2,2,6,30,
20,12,12,6,6,2,2,6,6,2,2,30,6,2,12,2,6,12,2,20,2,20,6,6,20,20,20,6,6,6,20,20,
20,6,6,6,6,6,6,6,20,6,6,6,6,6,6,6,42,12,6,12,2,2,20,20,12,12,12,2,2,2,2,6,2,12
,30,12,2,6,12,2,12,12,2,2,2,30,6,6,42,42,30,20,6,20,20,6,12,6,6,2,2,30,12,6,6,
2,2,2,2,2,20,20,20,6,2,2,2,2,2,2,2,12,12,6,2,2,2,2,6,20,2,12,2,6,2,2,12,6,2,12
,6,2,2,2,2,2,2,2,2,2,6,12,12,12,2,2,2,20,2,6,2,6,2,20,20,20,6,6,20,20,6,6,6,6,
6,6,6,6,6,6,42,6,12,30,12,6,6,6,2,20,20,6,12,6,2,2,2,2,2,6,6,6,2,6,6,2,2,6,6,
12,2,12,12,2,2,2,2,2,2,2,12,6,2,2,20,6,6,2,6,20,2,6,2,20,20,6,6,6,6,6,6,20,2,2
,2,20,6,2,2,6,6,12,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2
,6,6,12,12,2,12,2,2,2,12,2,2,20,2,56,42,6,6,2,20,2,12,2,6,2,6,2,6,20,6,6,6,6,6
,6,30,12,6,2,2,20,6,2,6,12,12,12,6,6,2,6,2,2,12,12,6,2,6,6,6,6,6,6,2,2,2,2,6,6
,6,6,2,2,12,2,6,2,2,2,2,2,12,2,2,2,2,2,2,2,2,20,20,6,20,2,20,2,20,6,6,6,6,6,6,
6,2,2,6,6,2,2,6,6,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,12,12,12,6,2,2,2,2,2,2
,2,30,20,2,6,2,12,6,12,2,2,2,2,2,6,2,6,6,20,6,2,2,6,2,12,12,6,2,2,2,2,2,6,6,6,
6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,6,2,12,2,2,30,20,20,2,2,2,2,20,12,2,2,2,2,2,2,20
,20,2,2,6,6,2,6,6,2,2,2,2,2,6,6,12,12,6,6,6,2,2,2,2,2,2,12,6,2,12,6,12,6,2,2,
12,2,2,2,2,2,2,2,20,6,20,2,2,6,6,6,2,2,2,2,6,2,2,2,2,2,2,2,2,6,2,6,12,2,6,2,42
,6,20,12,2,6,2,2,6,2,2,2,2,2,6,2,6,2,6,6,6,2,2,12,6,2,2,2,2,2,2,2,2,12,6,2,2,2
,2,20,6,6,6,2,2,2,2,2,6,2,12,2,2,2,2,20,12,6,2,6,6,2,2,6,2,2,6,2,2,6,2,2,12,2,
2,2,6,2,6,2,2,20,6,12,6,2,6,6,2,2,2,2,12,2,2,2,2,6,2,12,2,2,2,2,2,30,6,2,2,2,6
,2,2,2,6,2,2,12,2,6,2,2,6,2,6,2,2,2,6,6,20,2,2,2,6,2,2,2,2,12,2,6,2],[78,38,6,
14,45,21,6,36,24,10,12,14,6,6,4,4,8,6,2,22,6,10,2,28,3,29,21,5,11,9,3,6,5,2,2,
17,5,11,2,5,3,2,15,10,12,14,4,4,4,4,4,10,6,6,6,8,2,2,2,2,2,6,22,12,6,6,6,10,4,
4,4,10,2,2,4,4,2,2,2,2,2,10,2,10,12,10,2,2,2,2,4,6,4,4,2,2,4,21,6,6,6,6,28,4,8
,1,3,4,8,1,1,36,21,15,6,10,3,3,1,15,9,3,1,5,3,5,3,3,5,2,3,1,17,5,5,5,11,9,7,3,
3,5,5,5,5,1,1,1,3,3,3,3,3,5,3,2,2,2,3,2,15,3,3,1,1,3,7,1,1,3,7,3,3,10,1,10,8,2
,6,6,6,4,4,4,2,2,2,10,10,10,4,4,4,2,2,2,2,2,2,2,2,2,2,10,12,10,4,4,4,4,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,4,4,4,4,4,4,4,4,2,2,2,2,2,2,10,2,2,2,2,2,4,6,2,
2,2,4,4,2,2,4,4,2,2,4,2,2,4,2,4,2,21,6,2,5,6,2,2,2,11,11,3,3,6,6,6,2,2,2,2,2,2
,2,5,2,2,2,2,6,2,2,16,6,4,2,3,1,6,4,4,2,4,4,4,6,8,2,2,4,1,2,2,15,3,3,1,22,21,
15,11,6,10,10,5,3,6,3,3,3,2,2,2,2,1,1,1,1,15,3,3,3,3,7,3,3,3,3,3,3,1,1,1,1,1,1
,1,1,1,1,1,1,12,11,4,10,3,5,2,3,2,2,2,1,1,1,1,5,3,5,1,3,1,3,7,3,3,3,3,3,3,3,9,
5,5,5,5,5,1,1,1,1,1,3,3,3,3,3,1,1,1,1,5,5,3,3,3,5,2,10,1,7,3,3,3,1,1,3,3,1,1,1
,1,1,3,3,3,7,1,1,1,1,1,3,3,1,1,7,3,3,3,1,1,1,3,1,1,3,1,1,1,1,3,1,3,1,1,1,3,1,3
,1,1,1,1,1,3,6,6,6,1,3,3,3,1,1,1,10,1,2,1,1,4,1,1,4,1,2,1,6,2,4,10,2,2,2,10,10
,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,10,10,4,2,2,2,2,2,2,4,2,2,2,4,6,2,2,2,2,2,2,2
,2,4,4,4,4,4,2,4,2,2,2,4,2,2,2,2,2,2,2,4,4,2,2,2,2,2,2,4,2,2,2,4,2,2,2,4,2,2,2
,2,2,21,5,6,2,1,15,6,3,3,3,1,11,11,3,3,3,3,5,6,5,2,2,2,2,2,2,2,2,2,1,1,2,2,2,2
,3,3,2,2,5,3,2,2,3,2,2,2,5,5,2,2,2,2,2,2,2,2,3,1,1,3,2,2,2,3,3,1,1,2,4,2,6,2,2
,2,2,4,4,4,4,6,8,4,4,2,2,2,2,2,4,1,2,2,2,2,2,2,2,2,2,2,2,2,7,3,1,3,3,1,1,1,10,
3,6,1,3,4,3,3,5,2,2,1,2,10,1,3,5,1,3,12,11,4,4,3,3,3,3,3,6,3,5,5,5,4,10,1,1,1,
1,2,2,2,2,2,2,2,2,2,3,3,1,2,1,10,3,2,1,1,1,5,5,5,5,3,1,1,1,3,3,3,3,1,3,1,1,3,4
,3,1,1,3,3,3,3,3,3,3,3,3,3,3,7,1,1,1,3,1,1,1,1,1,1,3,3,3,1,1,1,1,1,1,1,1,1,1,1
,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,1,1,1,1,1,3,3,3,3,3,3,1,1,1,1,1,1
,1,3,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,1,1,1,1,1,1,1,3,3,3,3,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,1,1,1,1,2,1,1,1,1,1,1,1,3,3,1,2,6,6,2,2,2,2,6,2
,2,2,2,2,6,2,2,1,10,3,1,1,1,1,1,1,28,21,3,3,1,10,1,2,1,6,1,4,1,1,4,1,1,1,2,1,2
,1,2,1,2,1,3,10,4,2,2,2,2,2,2,2,2,4,2,2,2,2,2,4,2,2,4,4,2,2,4,2,2,2,2,2,4,2,2,
2,2,2,2,2,2,2,2,15,6,3,3,2,2,1,1,1,1,1,11,3,3,3,5,1,1,1,2,2,3,3,2,6,2,7,3,6,2,
1,3,3,2,3,1,1,7,3,6,2,1,1,3,2,1,1,1,3,5,1,3,2,3,3,5,5,2,2,2,2,2,2,2,1,1,3,3,3,
3,1,1,2,2,2,3,2,2,1,1,3,3,1,1,3,3,1,1,1,1,3,3,2,2,1,1,1,1,1,1,1,1,2,1,1,1,1,1,
1,4,2,6,2,2,2,2,2,3,2,2,2,2,2,2,4,4,4,2,2,2,2,2,2,2,2,2,2,2,6,1,3,1,1,1,3,1,3,
1,1,1,1,1,1,1,1,1,10,10,2,2,1,3,1,1,10,1,4,2,1,3,10,2,1,10,4,3,3,2,2,2,2,1,1,1
,1,1,1,1,1,5,1,3,3,4,6,4,4,1,1,1,1,5,3,3,3,3,3,2,2,3,1,2,2,2,1,1,2,1,3,4,2,1,1
,1,1,1,3,1,1,1,1,1,1,1,1,1,3,1,3,4,3,1,1,1,2,1,1,1,3,3,3,4,1,1,1,1,2,1,1,1,1,1
,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,3,1,3,3,1,1,1,6,6,2,2,2,6,2,3,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,2,1,16,11,4,3,3,1,1,1,4,8,5,1,6,2
,1,1,2,1,1,2,1,2,1,1,4,1,1,2,1,1,2,1,2,1,2,1,3,1,1,2,2,4,2,2,2,2,2,2,2,2,10,3,
1,1,3,3,1,3,2,7,6,3,3,3,2,2,2,2,2,2,1,1,1,3,3,2,2,2,1,1,1,1,1,1,1,1,3,3,1,1,2,
3,3,3,1,1,1,1,2,3,3,1,1,5,1,1,1,1,1,3,3,3,2,3,1,2,2,2,3,2,1,1,1,1,3,2,2,2,3,1,
2,1,1,3,2,2,2,1,3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,2,2,1,1,1,1,4,2,
3,1,2,2,2,2,2,1,2,2,2,2,6,2,2,2,2,15,10,10,1,1,3,1,1,1,1,1,1,1,1,1,1,10,6,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,10,2,1,10,2,2,2,1,4,2,3,1,1,1,2,2,1,1,1,1,4,1,4,
1,2,1,2,2,1,4,3,1,1,1,1,1,1,1,2,2,2,1,1,3,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,3,1,
3,1,1,1,1,6,6,2,2,2,2,2,3,3,3,2,2,2,2,2,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,2,2,
2,6,3,4,4,2,3,6,2,3,8,4,4,5,2,4,2,3,1,1,6,2,1,1,2,1,2,1,2,1,2,1,1,1,1,2,2,1,2,
1,1,2,1,1,1,2,10,2,3,1,1,1,10,2,1,1,2,1,3,1,2,4,3,3,1,1,1,1,1,3,2,1,1,1,3,2,1,
1,1,1,1,3,3,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3,3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,3,1,3,1,2,1,6,2,2,2,2,2,4,3,2,1,1,
2,1,21,3,10,6,1,2,2,1,4,1,2,1,4,1,2,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,2,
1,1,1,2,2,2,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,3,1,1,1,3,3,3,2,2,1,1,2,2,1,1,2,2,
2,2,1,1,1,1,2,2,2,2,2,4,2,6,2,2,2,2,3,2,1,2,2,4,4,4,2,2,3,1,2,2,1,2,2,2,1,2,1,
2,2,1,2,1,2,1,1,1,1,2,2,1,6,3,1,1,1,1,1,1,10,2,2,1,4,3,2,1,1,1,1,4,2,1,1,3,2,1
,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,6
,2,2,2,2,2,1,1,3,1,2,11,3,1,6,3,1,5,4,1,1,2,2,2,1,1,3,2,2,1,2,2,1,2,2,1,1,1,1,
1,1,1,1,1,2,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,2,2,4,2,3,2,2,2,2,2,2,2,2,2,1,2,1,
2,1,1,1,1,1,1,6,1,1,1,1,1,1,1,4,2,2,2,1,2,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,2,2,2,
2,2,10,1,3,3,6,2,3,1,1,5,1,3,3,2,1,1,2,1,1,2,1,1,1,1,2,2,1,1,1,6,1,1,1,1,1,1,1
,1,1,1,1,1,1,3,1,2,1,1,1,6,2,2,1,2,1,1,1,2,1,1,1,1,1,1,1,2,1,1,1,15,2,2,1,3,3,
1,2,1,2,1,2,1,2,1,1,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,3,2,2,2,1,2,
2,1,1,1,1,1,1,7,3,3,2,1,1,1,3,1,1,1,1,1,1,1,1,3,1,1,3,1,1,2,1,1,3,1,3,3,1,1,3,
1,1,1,1,3,1,1,1,10,3,1,1,1,1,1,1,1,1,1,1,4,2,1,1,1,1,1,1,1,1,2,1,1,1,1,1,6,1,2
,2,2,3,1,1,1],[13,9,1,5,10,7,1,4,9,7,5,5,5,1,1,1,1,1,3,3,1,7,3,5,1,8,3,8,7,5,4
,1,4,3,1,2,1,6,2,5,3,1,2,1,6,5,5,5,1,1,1,1,1,5,1,1,1,1,1,1,1,3,1,1,1,1,1,3,1,7
,5,3,3,3,5,1,1,1,5,1,1,1,1,3,3,1,1,1,1,1,1,1,5,1,1,1,5,5,5,1,1,1,1,3,3,1,1,1,1
,1,1,1,3,1,7,4,4,4,1,1,1,1,1,1,4,1,8,4,1,3,4,1,2,9,7,6,4,5,3,1,3,2,1,1,1,6,4,3
,2,1,2,2,3,1,1,1,6,5,4,4,3,3,2,2,1,1,1,1,1,1,3,3,2,1,1,2,1,6,3,2,1,4,2,1,3,4,2
,5,2,5,3,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,5,5,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,5,5,5,3,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3
,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,1,1,1,1,3,1,1,1,1,1,3,1,1,1,3,1,1,1,7,4,3,1,4,1
,1,1,1,1,2,2,5,5,1,1,4,4,4,2,2,2,1,1,1,1,1,1,1,1,1,1,2,1,3,2,1,4,6,4,2,3,1,4,2
,4,4,2,1,2,2,6,3,3,7,7,6,5,3,5,5,3,1,4,3,3,2,1,1,1,1,1,2,1,1,1,1,1,6,4,3,3,2,2
,2,2,1,1,1,1,2,1,1,5,5,1,5,1,3,2,2,1,1,1,1,2,1,1,1,1,1,1,2,2,2,2,1,1,4,4,1,1,1
,1,3,1,1,1,1,2,2,2,2,1,3,1,5,2,1,1,4,2,1,3,2,2,1,1,4,1,1,3,2,1,4,1,1,3,2,2,1,2
,2,2,1,2,2,2,1,2,3,4,1,1,1,1,4,1,1,1,4,1,1,1,1,2,2,2,5,2,1,3,2,3,2,1,1,1,1,1,1
,1,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,5,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,5,5,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1,3,1,1,1,3,1,1,1,1,1,1,1,3,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,7,3,4,1,1,1,1,1,6,4,3,3,3,1,1,1,2
,1,5,5,1,1,1,1,3,4,3,2,2,2,1,1,1,1,1,1,1,1,2,1,2,1,1,1,3,1,3,3,1,2,1,3,3,1,1,1
,1,2,2,1,1,3,3,1,1,4,2,4,4,2,2,1,2,2,2,2,2,4,1,3,2,1,1,2,5,3,3,1,1,2,1,1,1,3,1
,1,1,1,1,1,5,2,3,1,1,1,1,2,5,5,1,1,1,1,1,1,1,3,3,3,3,3,3,5,1,1,1,1,1,1,1,1,1,1
,2,1,1,1,1,2,1,1,1,1,1,2,1,1,5,3,1,1,2,2,1,1,3,3,1,1,4,3,1,1,1,1,1,1,2,2,2,1,2
,2,2,2,2,2,2,2,2,1,1,2,2,2,1,2,2,2,2,1,2,2,1,2,2,1,2,2,3,2,1,1,2,1,2,3,3,1,4,4
,1,1,1,1,1,1,1,2,1,1,1,4,1,1,1,1,2,2,2,1,1,1,1,1,4,1,1,1,2,1,1,1,2,5,2,8,7,3,3
,1,1,2,1,5,2,1,4,2,1,1,3,1,2,3,1,2,1,1,1,1,1,1,3,1,5,3,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1
,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1,3,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,6,4,3,2,1,2,1
,1,1,1,1,1,5,1,1,1,3,1,1,1,2,1,1,1,1,1,1,3,1,4,1,1,4,4,1,3,3,1,1,2,3,2,2,1,1,4
,4,1,1,1,1,3,2,1,1,1,1,3,3,1,1,1,3,3,3,3,1,1,1,1,1,1,1,1,2,1,1,2,2,1,1,2,3,3,1
,1,3,3,1,1,1,1,1,1,1,1,1,1,1,2,1,1,2,1,1,1,1,1,1,1,1,4,2,3,2,2,2,2,2,1,4,1,1,1
,1,1,2,2,2,2,2,1,2,2,2,5,5,1,1,1,1,1,1,3,1,1,1,5,2,1,1,1,1,1,1,1,1,1,1,1,5,1,2
,1,1,1,5,3,3,3,1,1,1,1,1,1,1,1,1,1,1,3,3,3,1,1,1,1,1,1,3,1,1,1,1,1,1,1,2,1,1,1
,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,3,3,1,1,1,1,2,2,3,3,1,1,1,1,1,2,3,3,1,1,1,1,1,1
,2,2,1,1,1,2,2,2,2,2,1,2,1,1,1,2,2,2,1,2,2,1,1,1,1,1,1,1,1,1,1,3,1,3,3,1,1,1,1
,4,4,1,1,1,1,4,1,1,3,1,2,2,1,1,1,1,1,2,2,2,1,1,1,1,1,2,1,2,1,1,1,6,5,2,1,3,1,1
,1,1,1,1,2,4,3,1,1,1,1,4,2,1,1,2,2,1,2,2,1,3,1,2,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,5,3,1,2,2,1,1,3,1,2,4,4,1,1,1,1,1,1,1,3,2,2,2,2,1,1
,1,1,2,1,1,1,1,3,3,3,1,1,1,1,3,3,1,1,3,1,1,1,1,1,1,1,1,1,2,2,1,1,2,2,2,2,2,2,1
,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,1,1,1,1,3,1,1,2,1,4,1,1,1,1,2,1,2
,1,1,1,1,6,5,5,2,2,2,2,5,4,2,1,1,2,2,2,2,2,5,1,1,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,2,1,1,1,1,1,1,1,1,1,2,3,3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,1,1
,1,1,1,1,1,1,1,1,1,1,2,1,1,2,2,1,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,3,1,3,1,1,1,1,1,4,1,1,1,1,4,1,1,3,1,3,3,1,1,2,2,1,1,1,1,1,1,1,1,2,2,1,1
,2,1,1,1,1,1,2,1,1,1,4,3,2,1,4,3,4,3,2,2,1,1,1,1,1,4,2,2,1,1,2,2,1,2,2,1,1,1,1
,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,1,3,1,1,1,5,1,2,1,1,1,1,1,1,1,2,3,3
,3,1,1,1,1,2,1,1,2,2,2,1,1,3,1,2,2,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,3,2
,3,1,1,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,3,2,1,1,7,3,1,1,1,1,5,4,2,1,1,3,2,2
,1,3,2,2,1,1,1,2,2,1,1,2,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,2,1,1,1,1,1,1,3,1,1,1,1,2,3,3,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,2,1,2,1,1,1,1,1,4,3,2,1,2,2,1,1,2,1,2,1,2,1,2,2,1,1,1,1,4,3,2,2,2,1,2,1
,5,1,1,1,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2
,2,2,1,2,2,1,1,3,2,1,1,1,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,1,1,1,1,1,1,1
,2,1,1,2,1,1,1,1,1,1,5,1,1,1,1,1,1,1,1,4,3,2,1,1,3,1,1,1,3,1,2,2,1,3,1,1,1,1,1
,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,1,2,2,1,1
,1,1,1,1,1,1,1,1,1,1,3,2,1,1,1,1,2,1,4,1,2,1,2,2,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,5
,1,3,1,4,3,2,1,3,1,1,1,1,3,1,2,2,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,1,1,1,1
,1,1,1,1,1,2,2,2,1,1,1,2,3,1,1,1,1,1,1,1,1,1,2,1,1,4,1,2,1,2,1,1,2,2,1,1,2,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,6,1,1,1,1,1,1,1,1,1,1,1,3,1,2,2,1,1,1,1,1,1,1,1,1,1,2
,3,1,2,2,1,1,1,1,1,2,1,3,1,1,1,2,1,1,2,1,1,1,1,4,2,1,1,1,1,1,1,1,1,1,1,3,2,1,1
,1,1,1,2,3,1,2,1,1,3,1,1,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1,3,1,1,1,3,1,1,1,1,1,1,5
,2,1,2,1,1,1,1,1,2,1,3,1,1,2,1,1,2,2,1,1,1,1,1,2,1,1,1,4,1,1,1,1,1,2,1,1,1,1,3
,1,2,1],[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,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
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,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
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,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
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,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
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,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
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,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
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,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
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,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
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,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
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,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
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,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
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,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
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,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
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
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4300,4249,3784,3373,3104,2792,2451,1635,1605,4445,4164,4022,3977,3772,3049,
1555,1641,4436,4506,4416,4463,4307,3749,3489,2950,2290,4369,4047,4047,2951,
2608,3908,3489,4047,3928,3733,3733,3489,2951,2242,3283,3251,4480,4097,3928,
3283,3283,4265,3291,3291,2274,4083,2954,2954,2954,2240,2664,2720,2240,2240,
2240,1417,1494,2240,2240,4410,3749,3749,2954,4369,4260,4264,3489,2954,2954,
2290,3283,3283,3291,2950,2954,2949,2951,2240,2240,2720,1494,4525,4316,4273,
4173,4272,4271,3961,3868,3159,2539,3652,1796,4536,4268,4108,2744,2214,4268,
4108,998,2163,4552,4519,4468,4116,4066,4208,3958,3375,2337,2411,2303,1900,1534
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1605,4445,4164,3928,3750,4022,3927,3927,3928,2664,3772,2357,3529,3283,3257,
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2292,2962,2274,3293,2292,2284,2283,2284,2292,2720,1494,1494,1493,2720,1493,
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1114,473,4445,3928,3283,3283,2665,3927,3772,3104,3283,3283,3283,2665,3102,2011
,2011,2011,2626,2664,2626,1994,2664,2626,2375,2011,2011,1182,4416,4332,4307,
4208,3908,3928,3569,3568,2991,2613,2613,2412,1088,2411,2410,1900,1900,1900,
1056,519,4377,4164,3927,3928,3750,3283,3050,3049,4248,4249,3532,3283,3283,3283
,2669,2664,4249,3928,3928,3750,3750,3283,3929,3929,3750,3257,2664,3784,2011,
2011,2011,3785,3783,2011,2011,2011,3529,3283,3373,3283,2665,3049,3104,1605,
1182,4233,2455,1278,1277,3927,3928,3283,3283,3293,3102,3104,2665,2626,2664,
2720,2431,2011,2011,3928,3283,3283,3927,3293,3293,2664,3102,2011,3104,2665,
2626,2011,1182,3927,3928,3283,3283,3293,3102,2011,3104,2664,2626,2665,2720,
2011,1182,3919,3750,3283,3257,3283,3283,2011,3750,3283,3283,3283,3257,2011,
3293,2720,2720,4167,1713,4438,4112,3969,3868,3975,4273,3476,3184,3184,4115,
2941,2546,2546,2546,3875,3876,3192,3192,3192,3192,3192,4365,3723,3472,2936,
2214,3723,3724,3593,2936,3723,3724,2936,2214,3472,2936,4464,4439,4308,4307,
4046,4047,4463,3749,3749,3749,3489,3489,3251,2954,2954,2949,2240,2240,2240,
3489,2951,2954,4415,4369,3750,3283,3733,2951,2951,3489,3489,3489,2963,2962,
2962,2950,2950,2274,2274,2274,3280,3280,2951,2960,2960,2242,2242,3272,2951,
2951,2241,4369,4264,3750,3489,2951,2951,2956,2951,2951,3489,3489,2962,2951,
2951,2955,2247,2247,4157,4045,4046,3747,3737,4047,3489,3489,2950,3927,3928,
3745,2951,2951,2951,2240,2240,3489,3489,3489,3247,2240,3489,3489,3290,2950,
2950,2950,2274,2274,3291,3291,3291,2950,2950,2951,3750,3299,3299,2963,2962,
2962,3748,2950,2950,3750,2962,2958,2284,2284,2957,3489,3489,2950,2950,2950,
3489,3489,2950,2950,2950,2950,2950,2951,2951,2241,3283,3283,2274,2274,2274,
2274,2274,2274,2292,2292,3283,2274,2274,2274,3293,2282,2284,2284,2283,2283,
2284,2284,3293,2284,2284,2284,2284,2283,2283,2282,2954,2954,2954,2954,2240,
2240,2954,2954,2292,2292,2292,2292,2292,2292,2292,2292,2292,2292,3305,4525,
4074,4078,3583,3108,2461,2460,2386,2386,4493,4273,4273,4273,3957,3958,3607,
3607,4249,4173,3957,3958,3784,3375,3374,3627,3051,2337,1605,4395,4395,4072,
3102,4072,3103,3806,3785,3805,3322,3104,3104,3104,2357,1623,3322,2357,1623,
3096,3099,2792,2793,2386,2386,2386,901,2385,2357,2386,2356,2357,2366,1547,1548
,910,4315,4316,4273,4173,4072,3104,4077,4074,4074,4077,3772,3772,2357,3581,
3399,3104,2357,2386,3772,3771,3772,3369,3104,2451,2357,2357,3772,3104,3102,
3104,2451,3103,3102,3104,3103,2357,2357,2375,1640,1641,3772,3369,3772,3772,
3771,2375,3652,3581,3399,3104,3581,3104,3173,2857,2857,1713,4422,4268,4108,
3941,4328,4107,3941,3602,3127,4107,4108,3603,3603,3603,3941,3941,3855,3855,
4106,4108,4108,3855,3603,3603,3147,3147,3148,3144,3147,3136,3144,998,3941,3603
,3602,3941,3603,3602,3600,3144,3144,3124,3600,3600,3144,3144,3124,3600,3600,
3144,3144,3124,3144,3144,3144,3144,3124,3124,3124,2523,3875,3876,2236,2237,
3728,3729,3192,2947,2948,2948,2947,4038,4476,4249,4249,4163,3541,4066,4064,
4065,4046,3908,3291,3928,3737,3569,3291,2613,2613,2303,1900,4477,4067,4061,
3916,3906,3762,2987,2981,4413,4352,4249,4416,4332,3909,3737,3908,3291,3291,
3291,3291,3927,3928,3928,3928,3529,3927,4208,3291,2612,1087,1088,3275,2613,
2613,2613,2613,2613,2663,2663,1898,2662,2613,2613,2613,2613,2662,2662,2663,
1900,1900,1900,1900,1900,1898,1900,1113,1114,4416,3928,3737,3291,2662,2663,
4377,4164,3928,3928,4164,3927,3927,3750,3750,3927,3928,3283,3283,3050,3049,
3919,3927,3928,3927,3928,3745,3568,3569,3291,3928,3283,3283,3283,3283,3283,
3283,2665,2665,2665,2665,3927,3293,2626,2626,3104,3102,2011,2011,2011,2011,
2011,2665,2665,2665,2664,2720,2664,2664,2664,2664,2664,2720,2664,2626,2626,
2011,1182,3927,3928,3750,3750,3283,3283,3283,3257,3750,3283,3283,3283,3283,
3750,3750,3283,3283,3283,3283,3283,3283,3257,3257,3283,3283,3283,3283,3283,
3283,3283,3283,3283,2011,2011,3750,3750,3283,3283,3283,3283,3283,3283,3283,
3257,2011,3750,3283,3283,3750,3283,3257,3750,3283,3750,3283,3283,3283,3283,
3283,3283,3283,3257,2011,3750,3750,3283,3283,3283,3283,3283,3283,3283,3257,
2011,3283,3283,3283,3283,3283,3283,3283,3283,2666,3299,3293,2626,3293,3293,
3293,3293,3293,2626,3114,1276,1277,1278,2720,2720,2720,2741,2720,2720,2720,
2720,2720,2720,2720,4167,3938,2744,4314,4315,4173,4074,3969,3975,2096,3772,
3611,3612,3613,3160,4192,3630,3388,3184,3977,3976,3399,3184,3184,2160,2159,
2867,3807,3322,3388,2794,2135,2793,2792,3628,3652,2857,2546,2546,2546,3643,
2541,2159,2160,2163,4406,3876,3875,3192,3192,3192,3192,3192,4550,4533,3695,
3207,2893,2894,2177,2184,4365,3723,3472,2936,2214,4328,3855,3715,3452,4034,
3724,3723,2934,2936,2214,3724,3723,2936,2936,2935,2936,2214,3472,3472,2936,
3472,2936,3472,3472,2936,3472,4044,3728,3729,3243,3242,4481,4369,4164,3489,
3489,3489,2951,2963,2951,3489,3489,3489,3489,2951,2951,2951,2951,2962,2962,
2951,2247,4045,3489,2951,2954,4047,3489,4045,4046,3747,3737,4046,3737,3747,
4047,3489,3489,3489,2950,2950,3733,3733,2951,2951,3489,3489,2950,3745,3750,
2963,2282,2962,2962,2284,2284,2284,2284,2283,3748,3750,3750,2963,2963,2962,
2962,2962,2962,2271,2269,3750,2962,2963,2962,2274,2274,3750,2963,2962,2962,
3489,2950,2950,3489,2954,3489,3489,3489,3489,2950,3489,3489,2950,2950,3489,
3489,2951,2951,2951,2951,2949,3489,3489,2951,3489,2950,2950,2954,2954,2954,
2954,2950,2950,2950,2954,2954,2954,2954,2950,2950,2954,2292,2292,2292,2292,
3305,4493,4249,4173,3927,3928,3784,3529,3316,3398,3397,2349,2339,1524,1525,
3050,2346,2324,3049,2328,2348,3051,3051,2337,4395,4072,3581,3581,3807,3024,
2379,2378,3111,3110,2386,2386,2461,2460,2386,2386,4316,4315,4173,4072,3104,
4316,4075,4076,3583,3395,3394,4248,4249,4249,3928,3783,3785,3340,3784,2348,
3529,3339,3340,3340,3340,2337,3338,3338,3051,3051,3049,2328,1583,4248,4249,
4249,3928,3783,3377,3784,3375,3785,3529,3374,3049,3372,3373,3373,3373,2337,
3376,3371,3051,3051,1605,4074,4074,3581,3581,3583,3583,2386,4074,4074,3772,
3028,4074,4074,3772,3104,3104,2357,2451,2357,2357,3581,3103,3581,3103,3581,
3102,3581,3102,3104,3028,3104,3104,3104,2357,2386,2386,3927,3928,3529,3049,
3050,3051,3771,3772,3772,3104,2451,3772,3103,3102,3104,2375,3771,3772,3772,
3369,3104,3104,3772,3103,3102,2375,3783,3782,3785,3373,3781,3785,3784,3104,
3104,3652,3581,3104,3581,3104,3581,3104,3581,3581,3399,3104,3104,3114,3104,
3103,3104,2451,3102,3111,3110,2461,2460,3103,3104,3104,3102,3102,3103,3104,
3104,2451,3103,3102,3104,3104,4167,1713,4422,4268,4108,3941,3941,4108,4414,
4108,3603,3603,3603,3144,3144,3127,3131,4106,4109,3941,3603,3602,3941,3603,
3602,3941,3602,3603,3941,3941,3603,3603,3602,3602,3941,3603,3602,3941,3603,
3602,3854,3855,3855,3603,3853,3603,3147,3603,3603,3144,3600,3603,3603,3603,
3128,3600,3124,3600,3600,3124,3600,3124,3124,3144,3144,3144,3144,3124,3124,
3144,3144,3144,3144,3149,3146,3149,3146,3130,4437,4273,3475,3476,2941,3868,
3474,3875,3876,3875,3876,3484,3485,3192,3192,3192,3192,3192,2947,2948,4038,
4038,4038,3723,3724,3723,3724,4477,4415,4152,3906,3906,3916,3246,3733,3501,
3532,3280,3280,2605,2625,1831,4463,3922,2634,2633,2635,1837,4439,3541,4307,
4154,3909,3908,4046,4415,3733,3570,3280,3280,1850,4416,3927,3928,3928,3737,
3737,3737,3290,3291,3291,3291,3291,3291,3291,3252,2662,2662,2663,2663,4413,
4352,4249,4249,4248,4249,3909,3737,3909,3291,3291,3291,3928,3908,3908,3291,
3291,3291,3737,3290,3514,3516,3541,2613,2613,2613,3515,3541,2663,2613,1900,
4157,4152,3906,3525,3246,2987,4164,4046,3747,3737,3291,3928,3927,3290,3291,
3291,3291,2662,2663,3927,3928,3929,3750,3283,3750,3929,3750,3750,3283,3927,
3928,3927,3928,3927,3928,3291,3291,3291,3290,3274,2663,2662,3927,3927,3928,
3928,3928,3927,3745,3568,3569,3291,3291,3291,3290,3247,3750,3257,3750,3750,
3750,3283,3283,3283,3257,3750,3257,3750,3750,3737,3737,3291,3750,3750,3750,
3283,3283,3283,3283,3257,3283,3750,3283,3283,3283,3283,3283,3750,3257,3750,
3750,3257,3750,3750,3283,3283,3283,3283,3283,3283,3283,3283,3283,3283,3283,
3283,3283,3283,3283,3257,2011,3750,3283,3750,3283,3283,3750,3750,3582,3582,
3582,3283,3283,3283,3283,3283,3283,3283,3283,3283,3283,3293,3283,3283,3283,
3283,3293,3293,3293,3293,3283,3283,3283,3283,3274,3283,3283,3293,3283,3283,
3283,3283,3257,3256,3257,3257,3293,3293,3293,3293,3293,3299,3299,3299,3299,
3293,3299,3299,3299,2741,2720,2720,2720,2720,2741,2742,4167,3302,4167,4167,
3302,3301,3301,3305,4438,4438,4315,4194,4112,4074,3772,4074,3969,3969,3802,
2764,4315,4074,3969,3396,4314,4316,4315,4273,4173,4186,4116,3958,4072,4314,
4273,4115,4118,3976,3976,4074,3772,4074,3772,4074,4074,3772,3772,3977,3977,
3865,3807,3807,3322,3322,3388,2793,2792,2794,2135,3807,3806,3322,3807,3322,
3805,3388,2794,3388,2793,2792,3807,3790,3388,3652,3652,3652,3399,3399,3399,
3399,2867,2867,2159,2160,2857,2857,2163,3661,3192,4508,4428,4332,4222,3695,
2894,2893,2894,2893,2892,2176,2177,4463,4416,4232,2892,2894,2893,2184,4328,
4108,3855,3855,3715,3452,3452,4108,3855,3452,4034,3855,3854,3855,3452,3452,
2928,3854,3855,3855,3452,3452,2928,3724,3723,2936,2935,2936,2936,2214,3472,
3472,2936,3472,3472,3472,2936,3472,3472,3472,3472,3472,2936,3473,4044,3728,
3729,3242,3243,3728,3729,2947,2948,2947,2948,4307,4163,4046,4045,3489,4045,
3489,3489,3489,3489,3489,2951,2951,4046,3747,4047,3750,2963,2963,2963,2962,
2962,2962,2962,3489,3489,3489,3489,3489,3489,3489,3489,3489,3489,3489,3489,
3489,3489,3489,3489,2954,3489,3489,3489,2954,3489,3489,3489,3489,2950,2950,
2954,2954,3305,4502,4249,4160,4065,4066,3762,4064,4067,3541,2981,4315,4072,
4078,4248,4249,4249,3928,4248,4249,4249,3927,3927,3928,3928,3928,3529,3529,
3529,3783,3050,2324,3784,3049,3049,2328,3785,3528,3529,3529,3529,3527,3051,
3526,2337,2338,2339,2340,2341,3051,3051,3051,3050,2346,3049,2348,2349,4243,
4061,4072,4072,4073,4073,3785,3104,4074,3583,4074,4074,3581,3581,3581,3581,
3028,4077,3583,4074,4074,3772,3104,3581,3581,3028,4074,3581,3581,3581,3581,
3581,3581,3581,3581,3583,2386,3927,3928,3927,3928,3928,3529,3927,3529,3050,
3049,3051,3927,3928,3927,3928,3928,3927,3928,3928,3529,3927,3927,3529,3049,
3051,3050,3927,3928,3928,3529,3927,3927,3928,3529,3050,3049,3051,3928,3927,
3928,3927,3581,3581,3581,3104,3581,3581,3104,3581,3581,3104,3581,3581,3583,
3583,3104,3104,3103,3102,3103,3103,3104,3104,3104,2451,3102,3102,3104,3114,
3110,3110,3111,3111,2460,2461,3102,3104,3104,3103,3114,3114,4167,3938,3593,
4414,4268,4268,4108,4108,4107,3941,4107,3941,4109,3604,3941,3602,3941,3603,
3603,3603,3603,3603,3941,3603,3602,3941,3603,3602,3941,3603,3602,3941,3602,
3941,3603,3602,3941,3941,3603,3603,3941,3602,3603,3603,3603,3602,3602,3602,
3599,3600,3600,3599,3601,3604,3598,3600,3144,3144,3144,3144,3146,3149,3146,
3149,4437,4273,3977,4185,3961,3613,3977,3868,3643,2541,3643,2543,3184,3184,
2546,4501,4455,4406,3486,3875,3876,3877,3875,3876,3876,3875,3875,3876,3484,
3485,3192,3192,3192,3192,3192,4487,4393,4300,4139,3695,3207,4034,4038,4038,
4038,4038,4038,4038,4038,4038,4038,3724,3723,3722,3723,3724,3724,3723,4044,
4463,4045,3255,4423,4415,3733,3733,3733,3733,3733,3280,3280,3280,3280,2605,
4407,4350,3916,4307,4154,3908,3909,3541,4154,4164,3750,4152,4152,3906,3246,
3246,3733,3733,3280,2625,4164,4164,3750,4164,3922,4164,3255,2633,2634,2635,
4046,3737,4046,3747,3737,3291,4046,3737,3747,4045,4046,3737,3291,4046,3927,
3928,3291,3291,3291,3291,3291,3291,3291,3290,3290,3290,2662,2663,3927,3928,
3929,3750,3750,3283,3737,3291,3750,3750,3750,3750,3750,3737,3737,3750,3750,
3750,3750,3283,3750,3750,3257,3737,3737,3737,3737,3737,3291,3291,3750,3750,
3257,3750,3750,3257,3750,3750,3750,3750,3750,3750,3750,3750,3745,3745,3750,
3750,3750,3750,3750,3733,3733,3280,3283,3283,3293,3283,3283,3293,3283,3283,
3274,3283,3293,3293,3283,3274,3299,3299,3299,3299,3299,3299,3299,2739,2740,
2741,2742,4167,3302,3937,3751,3302,3751,3301,3305,4316,3975,3975,3395,3394,
3393,3392,4315,4074,4074,4074,3969,3763,3396,4314,4074,4074,4074,3772,4315,
4316,4186,4173,3958,4072,4314,4315,4173,4173,4173,3958,4173,4172,3781,3784,
3316,4192,3807,3807,3322,3807,3630,3388,3388,4074,3772,4074,3772,4073,4072,
3976,3800,3785,3651,3340,4074,3772,4074,4074,4074,4073,4072,3800,3785,3340,
4074,3772,4074,3772,4074,4074,4074,4074,3772,4074,3772,3975,3976,3976,3976,
3977,3807,3807,3807,3807,3343,3342,3388,3388,3807,3807,3388,3783,3781,3782,
3785,3373,3784,3785,3807,3807,3388,3772,3772,3772,3771,3652,3650,3398,3397,
3652,3652,3652,3399,3399,3399,3399,3399,3396,3397,3398,4123,4476,4415,4393,
4369,4332,4260,4222,4416,4260,4232,4416,4332,4260,4232,4097,4097,4096,3851,
3851,2892,2893,2894,4328,4108,3855,3855,4328,4330,4265,4097,3851,4108,4108,
3855,3452,4108,3855,3452,4108,4108,3855,3452,4108,4109,4034,3855,3855,3855,
3854,3854,3855,3452,3452,3452,3452,2928,3854,3853,3855,3855,3472,3472,3472,
2936,3472,3472,3472,3473,3868,4044,4044,4044,3876,3875,2947,2948,4045,4047,
4046,3489,3489,3489,3489,3489,3489,3489,3489,3489,3489,3489,3489,4050,4502,
4308,4249,4160,4160,3909,3516,3501,3515,3514,2975,4477,4152,4067,3906,3906,
2981,3501,4316,4308,4160,3909,3541,4249,4249,4248,3928,4248,4249,4249,4064,
4066,4065,3515,3514,3909,3909,3908,3908,3516,3541,3541,4248,4249,4249,3928,
4243,3929,3532,4248,4249,4249,3928,4243,3929,3532,4243,4061,4164,4073,4072,
4074,3581,3583,3928,3927,3927,3927,3927,3928,3928,3928,3928,3529,3529,3529,
3928,3928,3928,3927,3927,3927,3927,3529,3049,3050,3051,3927,3927,3928,3928,
3927,3928,3927,3928,3928,3927,3928,3928,3927,3927,3927,3928,3928,3928,3927,
3927,3928,3927,3927,3928,3927,3928,3927,3927,3928,3928,3929,3927,3928,3927,
3928,3928,3928,3927,3927,3928,3927,3929,3928,3927,3581,3581,3581,3581,3581,
3581,3581,3581,3104,3581,3581,3582,3581,3583,3583,3583,3583,3583,3114,4365,
4165,4167,4167,4167,3938,3938,3936,3936,4268,4109,3604,4108,4107,3941,3941,
3941,3941,3602,3941,3941,3603,3941,3941,3941,3602,3941,3602,3599,3603,3603,
3600,3603,3603,3600,3604,3599,4438,4112,3867,4110,3633,4438,4317,4175,3960,
4317,4317,4270,4112,3970,3969,3969,4273,4273,4185,4185,4116,4115,4118,3977,
3977,3977,3977,3977,3977,3865,3643,3643,3184,4124,3980,3979,3875,3876,3877,
3661,3192,4548,4305,3993,3992,4036,4035,4487,4393,4300,4232,4231,4139,4022,
3695,3207,4301,4300,4021,4022,3696,3695,4301,4300,4021,4022,3696,3695,4232,
4231,4022,4038,4038,4038,4034,4038,4038,4038,4038,4034,4034,4038,4038,4038,
4038,3724,3723,3724,3723,4044,3729,3728,4350,4163,3916,4307,4307,4163,4046,
4157,4154,4164,3739,3255,4164,3750,4163,4045,4045,4045,4046,4047,4045,4046,
4046,4045,4046,3747,4046,4045,3924,3745,3745,3737,3733,3733,3733,3733,3280,
3750,3750,3750,3750,3750,3750,3737,3737,3750,3737,3291,3750,3750,3750,3750,
3750,3750,3737,3299,4167,3751,3751,4170,4171,3305,4438,4315,4352,4249,4315,
4315,4315,4173,4072,4072,3766,4315,4186,4072,4078,4314,4074,4314,4074,4074,
3772,4074,4073,4072,3800,4074,4074,4074,4074,3772,4073,4072,3800,3785,3340,
4074,4074,4074,4074,4074,4072,4073,4073,4072,3785,4074,3772,4074,4074,4074,
4074,4074,4074,4074,4074,4074,4074,4074,4074,4074,4074,4074,4074,3772,4077,
3782,3785,3373,3781,3784,3785,3783,3782,3785,3785,3781,3783,3784,3807,3807,
3807,3807,3388,3808,3390,3391,3392,3393,3394,3395,3396,3397,3398,3399,4506,
4463,4416,4369,4416,4260,4260,4260,4097,4232,4086,4097,3851,4410,4369,4260,
4264,4331,4332,4260,4332,4260,4097,4222,4223,4328,4330,4107,4330,4107,4330,
4268,4265,4097,4097,4083,3851,4260,4260,4097,4097,4102,3851,4107,4108,4108,
3855,4097,4097,3851,4108,3855,3452,4108,4108,4108,3855,4108,4108,4108,4108,
4107,4102,4109,4109,4109,3855,3855,3855,3854,3854,3855,3472,3473,3868,3868,
3868,4446,4234,4234,4124,4044,3875,3876,3875,3876,3877,3875,3876,3489,4395,
4304,4050,4502,4308,4308,4308,4152,4160,4160,3906,3501,4423,4407,4240,4352,
4249,4160,4160,3908,4159,3909,3909,3909,3514,3515,3516,4352,4159,4160,4160,
4350,4308,4308,4160,3909,4249,4248,4249,3928,4243,3929,3532,4152,4152,3906,
4154,4154,3909,3909,3908,3541,4164,4164,4164,4164,4164,4164,4164,4063,3927,
3928,3928,3928,3927,3927,3927,3928,3927,3928,3927,3928,3929,3929,3927,3927,
3928,3928,3927,3928,3929,3927,3927,3928,3928,3929,3927,3928,3928,3927,3929,
3581,3582,3583,4365,4165,4166,4165,4167,4165,4166,4167,4167,3936,3937,3938,
3936,4268,3941,3941,3941,3941,3941,3941,3604,4438,4314,4438,4437,4437,4437,
4373,4317,4185,4314,4317,4175,4315,4173,4315,4173,4317,4317,4175,4175,4179,
4178,4273,4273,4192,3630,4192,3632,3633,4185,4179,4178,3976,3970,3969,3976,
3977,3977,3977,3975,3977,3970,3969,3977,3977,3650,3651,3652,3653,3654,4275,
4276,4277,4123,4123,4123,4123,3980,3979,3979,4508,4444,4037,3992,3993,4036,
4035,3992,3993,4476,4393,4332,4288,4289,4222,4208,4445,3992,3993,4414,4394,
4393,4301,4300,4022,4020,4021,4021,4022,4022,3695,3696,4305,4036,4035,4232,
4231,4232,4231,4022,4231,4232,4231,4232,4232,4231,4022,4232,4231,4022,4034,
4034,4034,4038,4038,4038,4038,4038,4038,4038,4036,4035,4037,4044,4044,4044,
4307,4307,4163,4047,4047,4046,4046,4046,4045,4045,4046,4045,4045,4045,4046,
4045,4046,4047,3749,3750,3751,4238,4049,4170,4171,4050,4352,4249,4352,4249,
4352,4249,4315,4315,4072,4078,4316,4316,4316,4316,4314,4074,4248,4249,4249,
4243,4248,4249,4249,4243,4072,4073,4073,4072,3785,4073,4073,4072,4072,4074,
4074,4072,4073,4074,4074,4074,4074,4073,4072,3800,4074,4074,4074,4078,4074,
4074,4074,4077,4077,4365,4502,4463,4416,4413,4416,4369,4369,4369,4260,4369,
4260,4264,4369,4260,4264,4328,4330,4107,4265,4260,4260,4268,4260,4260,4260,
4260,4260,4260,4268,4265,4260,4268,4109,4102,4107,4107,4097,4097,4097,4097,
3851,4108,4108,4108,3855,4107,4102,4107,4108,4108,4108,4107,4109,4109,4273,
4270,4112,3868,4340,4124,4124,4124,3873,3874,3875,3876,3877,4493,4419,4305,
4395,4395,4395,4304,4300,4301,4140,4139,4301,4300,4423,4350,4163,4352,4160,
4160,4160,4160,4158,4159,4159,4350,4308,4308,4152,4160,4308,4160,3909,4308,
4307,4308,4308,4160,4245,3916,4164,4164,4164,4164,4154,4164,4154,4163,4164,
4164,3927,3928,3929,4365,4165,4166,4165,4166,4165,4167,4167,4167,4170,4171,
3941,4438,4315,4438,4370,4315,4315,4173,4315,4314,4314,4315,4317,4314,4317,
4317,4315,4173,4317,4317,4175,4317,4317,4314,4314,4314,4179,4178,4185,4185,
4192,4192,4178,4179,3975,3976,3977,4506,3979,3980,4493,4444,4476,4416,4393,
4332,4332,4222,4445,4339,4339,3992,3993,4445,4414,4414,4416,4332,4208,4414,
4394,4393,4332,4331,4332,4222,4223,4331,4332,4332,4222,4223,4208,4208,4015,
4016,4330,4339,4330,4231,4232,4022,4231,4232,4231,4232,4231,4232,4232,4231,
4232,4231,4233,4034,4035,4036,4037,4038,4446,4306,4306,4344,4306,4044,4045,
4046,4047,4238,4049,4050,4481,4407,4352,4249,4352,4249,4352,4352,4352,4352,
4249,4352,4313,4248,4249,4249,4243,4248,4249,4249,4243,4072,4073,4074,4075,
4076,4077,4078,4429,4365,4365,4365,4463,4413,4266,4416,4415,4369,4369,4369,
4264,4369,4369,4369,4260,4260,4260,4260,4266,4268,4260,4265,4267,4268,4265,
4268,4107,4108,4109,4270,4270,4112,4272,4271,4273,4273,4270,4273,4446,4276,
4275,4277,4123,4124,4493,4445,4419,4305,4445,4395,4304,4392,4295,4395,4394,
4393,4395,4395,4304,4304,4392,4295,4395,4395,4395,4300,4301,4300,4301,4305,
4305,4423,4307,4308,4308,4308,4307,4308,4308,4160,4307,4308,4163,4164,4165,
4166,4167,4548,4436,4170,4171,4438,4315,4438,4437,4315,4315,4317,4317,4315,
4317,4317,4315,4317,4317,4315,4314,4314,4314,4314,4314,4314,4316,4194,4318,
4476,4477,4443,4444,4445,4339,4416,4416,4332,4416,4416,4332,4208,4413,4414,
4416,4416,4332,4414,4414,4331,4332,4332,4332,4331,4332,4222,4223,4339,4325,
4339,4330,4330,4339,4328,4231,4232,4233,4344,4340,4469,4406,4238,4423,4407,
4352,4352,4352,4352,4350,4352,4352,4352,4249,4507,4426,4428,4429,4429,4429,
4365,4365,4365,4463,4369,4369,4369,4369,4369,4369,4266,4267,4268,4438,4270,
4271,4272,4273,4377,4275,4276,4277,4493,4468,4444,4493,4445,4445,4445,4445,
4445,4445,4394,4393,4395,4393,4394,4392,4392,4295,4395,4395,4394,4393,4395,
4395,4395,4395,4304,4305,4306,4307,4308,4518,4519,4480,4436,4407,4314,4315,
4316,4317,4439,4319,4320,4476,4477,4415,4463,4414,4416,4416,4414,4416,4414,
4416,4332,4416,4415,4413,4413,4416,4413,4339,4446,4446,4446,4446,4344,4469,
4419,4420,4422,4481,4423,4423,4352,4507,4428,4426,4427,4428,4428,4425,4426,
4426,4429,4429,4429,4365,4509,4510,4436,4369,4438,4438,4438,4437,4374,4375,
4376,4377,4502,4493,4493,4444,4443,4444,4384,4443,4444,4445,4445,4445,4445,
4445,4445,4393,4394,4395,4518,4519,4480,4480,4480,4480,4480,4455,4404,4405,
4406,4407,4507,4464,4463,4463,4463,4413,4414,4415,4416,4492,4493,4469,4469,
4469,4422,4423,4507,4470,4426,4470,4428,4429,4509,4510,4474,4473,4474,4473,
4436,4437,4438,4439,4502,4476,4477,4443,4444,4445,4446,4550,4519,4518,4480,
4480,4480,4480,4480,4455,4481,4508,4485,4507,4487,4486,4525,4463,4464,4492,
4493,4493,4493,4469,4470,4518,4519,4473,4474,4502,4502,4502,4528,4523,4480,
4481,4508,4508,4508,4485,4507,4507,4507,4525,4509,4510,4492,4493,4528,4518,
4519,4519,4518,4518,4519,4501,4502,4537,4523,4523,4506,4507,4508,4525,4525,
4525,4512,4513,4536,4528,4528,4528,4518,4519,4538,4533,4532,4523,4552,4525,
4536,4537,4528,4538,4538,4538,4532,4533,4546,4542,4536,4537,4538,4544,4552,
4546,4546,4548,4544,4550,4546,4554,4548,4552,4550,4551,4552,4554,4554,4556,
4556,4557,4558],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,6,5,6,5,6,8,6,7,8,8,7
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4
,2,2,2,4,4,4,4,4,2,4,4,4,4,2,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,26,26,26,27,27,1,1,1,1,9,10,9,9,10,11,9,10,20,11,18,
14,20,18,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,5,5,5,6,5,5,5,5,6,6,5,5,5,6,6,6,6,6,6
,6,6,5,8,8,8,8,6,7,8,7,5,6,5,5,8,6,1,1,1,1,1,1,1,48,48,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,4,2,4,4,2,4,4,2,2,4,4,2,4,2,4,2,4,3,4,4,4,4,2,4,4,2,2,2,4
,4,4,4,2,2,2,2,2,4,4,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4
,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1
,1,4,4,1,2,1,4,1,2,4,1,4,4,4,1,24,25,25,24,24,24,25,25,118,121,119,118,124,119
,121,123,122,124,125,126,120,121,6,5,6,5,5,8,6,5,6,6,6,5,8,6,6,7,7,6,7,8,8,5,8
,8,7,1,1,1,1,1,1,128,128,1,26,26,26,26,27,27,1,1,1,1,1,26,26,26,26,26,26,26,26
,26,27,26,26,1,1,48,48,48,1,1,138,139,140,141,140,139,144,144,140,140,143,145,
147,141,143,144,144,146,150,150,143,150,150,142,147,148,146,145,148,151,40,40,
40,40,40,40,44,44,40,40,40,40,44,44,44,44,41,40,41,41,40,41,43,44,44,43,9,10,9
,11,10,10,10,9,10,11,11,9,20,11,10,14,14,14,18,18,1,1,1,1,1,1,1,1,5,5,5,5,5,5,
5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,5,5,8,5,5,6,6,7,8,96,96,97,98,2,2,
2,2,4,2,2,2,4,2,4,2,2,2,5,5,5,5,5,5,5,6,6,6,5,5,6,8,40,40,40,40,41,44,44,44,40
,41,40,41,44,43,4,5,5,5,5,5,6,1,1,1,1,1,1,41,5,1,1,211,1,1,1,1,1,8,8,8,8,8,8,8
,8,1,1,1,48,48,48,1,48,26,26,26,26,27,216,215,217,216,6,5,6,5,1,1,1,1,1,1,1,1,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,11,13,13,13,11,11,11,13,13,13,13,13,13,13,13,
13,13,13,14,14,13,13,13,13,13,11,11,11,11,13,11,13,13,11,11,13,11,13,13,13,13,
11,11,13,14,14,4,1,1,1,1,1,4,1,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,2,2,2,2,2
,2,2,2,4,13,14,14,13,13,13,3,4,2,13,13,13,14,14,13,4,4,4,2,2,4,4,2,2,4,2,3,4,4
,4,13,13,13,13,13,13,13,13,15,15,2,2,2,2,24,24,24,24,25,25,25,25,24,25,25,24,
24,25,25,24,4,4,4,4,4,4,4,4,24,25,25,24,3,2,25,24,25,24,1,118,118,119,119,118,
123,122,124,124,9,9,9,9,9,9,9,9,10,9,9,9,10,10,10,9,11,20,18,118,118,118,118,
118,118,118,121,118,121,121,121,121,121,120,121,121,120,118,118,124,124,124,
124,124,126,119,121,124,121,121,119,123,122,125,1,1,1,1,1,1,119,118,118,119,
121,121,121,118,120,121,121,124,6,5,6,6,5,8,5,6,5,6,6,5,8,5,6,6,5,6,5,8,6,7,6,
6,5,6,5,8,1,118,120,121,1,1,9,128,128,211,1,1,1,1,26,26,26,26,26,26,26,26,26,
26,26,26,26,26,4,26,26,26,26,26,26,26,26,26,26,26,26,27,26,26,26,1,1,1,4,2,2,4
,26,26,26,26,26,135,135,136,136,135,136,136,136,136,135,135,135,26,48,48,48,48
,442,443,48,48,48,6,5,1,9,10,9,9,11,10,9,9,9,10,10,10,9,10,10,11,11,18,14,218,
218,221,224,227,221,222,224,1,1,1,139,140,139,139,140,140,140,140,140,139,140,
140,140,140,139,144,140,140,145,147,139,144,144,144,144,144,143,143,143,141,
144,144,144,144,141,141,143,150,150,150,150,150,143,150,146,148,139,140,139,
140,141,143,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,41,1,1,9,10,9,9,10,10,40,40,40,40,40
,40,40,40,40,40,40,40,41,41,41,44,44,44,44,44,44,44,40,40,40,40,41,40,40,40,40
,40,41,40,41,41,44,43,5,5,41,41,40,40,41,41,5,40,40,5,40,41,41,40,40,41,40,40,
40,41,41,40,40,40,40,40,40,40,40,40,44,44,4,4,2,2,2,2,2,2,2,4,2,4,2,4,4,2,4,1,
2,5,5,5,5,5,5,5,5,5,6,41,41,40,40,40,40,40,40,40,41,44,41,40,41,40,40,41,41,40
,41,348,41,41,41,41,4,4,41,41,565,566,568,567,24,207,207,96,5,41,207,207,24,
207,207,627,26,27,1,118,121,118,118,119,125,121,124,124,121,121,629,630,631,
632,8,119,119,119,119,123,122,120,5,6,6,5,8,6,7,8,128,128,128,128,128,634,635,
636,637,138,49,48,48,214,2,48,214,214,1343,1344,1345,1346,1347,1348,1349,1350,
215,216,215,216,217,9,10,9,11,1,26,26,26,26,27,215,216,216,216,215,216,217,5,5
,6,215,216,26,26,26,215,1,48,48,48,48,1,57,51,57,57,57,57,51,57,57,57,57,57,57
,57,57,57,63,63,57,63,4,4,4,4,14,13,2,4,4,2,4,2,4,14,13,13,13,13,13,11,11,11,
11,13,13,13,4,100,100,100,103,103,104,104,104,104,103,64,57,51,57,51,57,63,63,
57,68,68,13,13,13,13,13,13,100,100,103,103,15,13,13,13,14,13,13,14,2,13,13,14,
13,15,13,13,11,11,11,13,14,13,13,11,15,13,2,24,25,24,25,64,64,64,25,25,24,24,
64,64,15,105,105,105,105,26,857,865,866,857,865,869,865,860,858,859,861,862,
864,863,866,867,868,869,870,871,873,873,874,366,366,366,366,366,366,369,369,
371,371,375,375,373,374,375,375,119,118,121,118,121,371,371,371,371,374,373,
139,139,140,140,139,139,145,140,143,140,139,145,145,145,147,141,141,144,144,
140,146,142,153,153,155,155,156,156,159,159,156,155,155,159,153,154,154,154,
161,156,153,157,157,167,118,118,118,118,119,119,124,118,118,121,119,118,118,
121,121,121,121,120,121,121,118,118,118,118,118,118,118,118,121,119,121,121,
121,121,124,124,9,10,10,10,9,11,405,408,408,408,407,405,405,405,408,406,40,44,
44,44,40,44,40,40,44,43,6,5,5,8,5,6,6,6,5,128,2,2,118,121,405,408,405,405,407,
408,408,96,408,405,408,407,405,119,119,123,122,5,5,6,6,118,118,121,121,120,40,
44,44,40,1,211,26,26,26,26,26,26,1,136,136,136,136,136,136,136,135,135,219,4,2
,4,135,136,135,26,26,26,135,135,136,136,135,135,135,136,135,4,2,4,26,26,26,26,
26,26,26,26,26,26,135,136,136,135,135,135,135,4,135,135,135,135,135,136,136,
136,136,135,135,136,26,26,136,135,26,26,135,135,1,120,120,120,120,8,8,48,48,9,
10,643,644,48,48,48,48,48,442,443,26,118,1038,6,5,216,215,1058,1058,1058,1062,
1062,1061,1061,1058,1059,1060,1062,1062,1059,1060,1063,671,671,672,673,674,677
,9,11,9,9,10,10,9,218,218,218,227,227,224,500,500,505,505,500,500,500,500,505,
505,505,505,505,505,500,507,507,506,506,5,5,5,140,139,139,139,139,140,140,140,
140,140,140,140,140,140,140,139,139,141,141,144,144,144,144,143,144,143,144,
150,52,218,227,221,224,222,4,9,9,9,10,140,139,139,140,140,140,141,143,2,2,11,
13,13,13,157,160,160,160,40,40,5,5,500,505,505,505,505,500,502,506,507,40,40,
40,40,65,50,52,50,65,65,65,65,50,52,13,11,13,41,41,40,40,41,41,41,41,160,13,
139,139,140,160,160,160,160,160,160,160,157,160,160,160,160,160,160,160,160,
157,160,160,157,41,41,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,41,44,5,40,
160,160,160,160,13,733,733,96,13,13,40,40,2,40,40,40,160,160,207,160,160,160,
160,207,207,41,24,160,160,160,160,139,160,160,207,160,160,40,40,157,160,160,
157,24,207,41,207,160,1266,1266,1266,1266,41,348,348,348,565,207,207,207,207,
565,775,627,627,627,627,627,627,26,48,1,629,629,629,630,629,629,629,631,631,
629,633,118,118,118,119,629,9,9,9,9,9,9,9,10,629,8,8,154,154,154,5,6,5,6,118,
118,121,121,634,634,154,629,629,629,629,631,631,630,631,632,118,118,121,118,
121,118,118,121,118,124,124,629,629,631,154,154,9,120,119,120,119,634,634,636,
637,128,128,138,49,214,1343,1344,1343,1344,1345,1348,1347,1348,1347,1345,1346,
1349,1343,1343,1344,1345,1348,1347,1350,420,420,423,423,420,421,421,9,10,11,26
,140,139,140,144,144,141,1356,1357,1357,1359,1359,1358,215,216,216,215,216,216
,217,663,215,216,40,215,215,216,215,663,663,26,26,26,96,118,442,443,443,442,
442,443,48,48,442,443,4,11,13,51,63,51,57,63,57,57,57,57,57,13,11,64,257,257,
257,257,265,265,265,265,103,100,13,51,57,68,63,68,57,64,13,64,63,51,103,100,
104,64,100,103,104,100,103,64,64,64,64,105,105,847,218,221,227,221,221,221,218
,218,222,224,118,118,119,9,10,9,10,857,865,857,857,857,865,865,865,865,865,865
,866,866,868,869,869,869,870,866,857,865,865,865,857,873,865,874,860,862,858,
859,873,873,873,866,867,869,871,861,218,221,118,118,118,118,121,121,366,371,
369,369,366,369,366,369,368,371,371,405,405,408,408,405,405,406,366,366,369,
369,366,366,366,366,366,371,375,139,140,139,140,140,140,139,140,139,140,144,
139,140,153,155,865,857,865,865,865,857,857,865,869,873,866,153,155,155,155,
153,153,155,155,156,159,157,865,857,10,9,118,405,405,408,405,405,408,118,118,
121,405,405,119,119,408,408,405,405,405,405,408,408,408,407,405,405,408,1689,
851,851,850,850,854,853,44,40,44,40,611,565,627,26,217,26,4,26,26,26,421,422,
11,13,1730,1730,422,421,135,136,136,136,136,136,135,136,135,422,422,421,422,
422,421,13,11,135,136,135,135,26,136,26,135,135,136,136,135,421,422,421,422,
135,135,422,422,219,422,135,136,136,136,136,437,437,437,437,1790,1791,1791,118
,124,121,120,1795,634,635,629,630,119,632,128,2547,2548,1335,1335,48,48,49,643
,644,140,139,1799,1800,643,644,48,214,214,214,214,1343,1344,1343,1344,1345,
1346,9,26,1038,1038,1038,118,118,1038,118,1038,1038,1038,1038,216,215,215,216,
48,1832,1832,1833,9,1058,1058,1058,1058,1058,1058,1062,1062,1062,1062,1059,
1387,218,224,139,139,140,140,144,139,51,57,1058,1058,1062,1061,1061,1058,1058,
1062,1060,41,521,524,671,671,1832,1833,1835,1834,1836,139,500,52,52,50,65,52,
50,52,671,502,500,505,502,500,505,505,505,505,505,505,505,505,500,500,500,507,
506,40,40,157,160,160,160,139,140,618,618,524,521,100,500,502,524,521,160,160,
160,521,524,524,500,500,500,500,500,505,505,524,521,524,160,160,157,57,51,160,
521,524,100,618,160,502,52,13,618,618,618,160,218,218,227,160,160,207,160,160,
618,160,160,1141,160,207,618,40,1141,1266,1266,1266,1266,1266,1266,348,2020,
2019,1282,775,627,627,627,1290,1290,1290,627,847,1556,1556,1556,1560,1561,1558
,1557,1294,1294,1294,1294,1297,1294,1298,629,629,629,629,629,911,912,911,914,
914,915,1293,118,121,857,866,866,866,857,865,869,860,629,629,629,629,629,630,
631,631,629,629,40,44,2103,2109,2104,2106,2105,2107,2108,118,121,118,629,629,
139,140,141,139,145,629,629,1293,1293,118,118,118,118,121,1293,1293,371,912,
912,119,1309,1294,1294,1294,1294,1296,1296,1297,1297,366,366,366,156,155,153,
153,154,159,156,629,629,631,408,408,405,405,128,2113,2115,2114,957,957,957,
1309,407,1309,634,634,633,859,858,49,1343,1343,1344,1343,1343,1343,1344,1343,
1343,1344,1343,1343,1343,1344,1343,1343,1343,1344,1344,1345,1347,1348,1356,
1356,1357,1357,9,218,1343,1343,1344,420,420,423,421,139,140,144,1356,1356,1357
,1359,139,219,215,1357,1357,1357,1356,1356,1357,1359,1359,1359,1359,1358,420,
420,423,423,663,215,215,216,663,663,136,985,120,1382,1382,118,644,643,442,443,
228,64,57,265,257,336,756,756,756,756,228,233,336,265,257,49,2294,2294,2295,
2296,2296,2295,2300,2301,2298,2297,2299,1058,1058,1058,1062,1062,1061,1059,371
,218,227,221,222,865,857,857,865,1039,1040,1041,1039,1041,1040,1044,1046,1041,
1040,1048,1048,1045,1043,1043,153,153,155,155,1058,1058,1060,139,139,140,140,
2350,2350,2351,1067,1068,671,366,366,918,918,917,155,153,857,857,857,865,865,
865,865,865,865,865,865,865,865,857,857,857,857,865,869,866,873,500,500,505,
505,857,865,1642,1643,1643,1642,1643,1643,1642,1642,1642,1643,523,523,522,522,
505,500,857,865,50,65,1642,1642,1643,1643,218,139,140,857,865,1643,1643,1642,
1642,865,857,1067,523,522,918,918,918,918,918,918,405,405,408,366,405,733,918,
406,851,850,851,850,1689,1343,1344,627,627,627,1712,215,1712,1712,135,1730,
1730,136,421,422,422,422,422,421,422,422,422,970,57,970,970,970,970,970,136,
422,437,136,422,437,1730,970,2086,2089,2089,2086,2088,9,1790,1790,1790,1790,
1790,629,630,629,631,631,154,120,1790,118,913,154,913,634,1791,1791,629,634,
629,913,1791,1791,1795,2548,2547,2548,1799,1800,520,1335,214,3193,3194,3195,
3196,3197,3198,2567,2568,2569,2568,2567,2570,2569,2571,2572,2567,2569,2568,
2569,2570,2571,1343,1343,1344,1343,1344,1345,1344,1343,1343,1038,1811,1811,857
,366,1811,1038,1038,420,2573,1038,1038,1038,1038,1038,1038,215,216,1382,443,
442,1058,1058,1061,52,671,222,229,2240,500,1832,1832,1833,521,524,218,671,1832
,1832,1047,2255,671,1047,1047,1832,229,222,1047,1832,1387,1141,1141,1047,1058,
1058,1058,1058,1062,1217,1217,160,618,1217,1217,500,1047,1217,500,505,1217,618
,1217,521,524,257,1047,1266,1290,627,1290,1343,1344,847,629,629,218,221,118,
2103,2103,2105,2109,2109,2102,911,911,915,912,629,629,629,629,1293,1293,1293,
2103,2109,2106,629,1293,405,405,408,2103,2109,2106,2105,2108,1293,1296,1296,
1294,1294,915,911,911,915,914,1293,1293,1293,1296,1294,1296,1294,1294,1294,
1294,1294,366,629,1293,366,369,369,1293,1293,1556,2103,2105,2104,2109,2109,
2105,2103,857,866,857,865,866,869,1294,1294,1294,1294,1297,2751,2753,2752,2757
,2756,2755,2754,2100,2114,2115,1309,1343,1343,1343,1343,2179,2179,2179,2179,
2179,2180,2179,2179,2180,2178,1343,1343,1343,1343,1343,1343,1343,1343,1343,
1344,1344,420,1058,1058,2900,2900,1720,671,2178,2179,2179,2178,2180,1343,1343,
2179,2179,2178,2180,1720,1356,1356,1357,1343,1343,1344,1356,1357,1359,2192,420
,420,423,1356,500,2192,2192,218,1343,2916,1730,1066,1357,1357,1357,1356,1356,
1357,663,2228,1791,1790,1795,3477,2547,2547,2548,2229,1799,1800,643,644,1335,
1799,1800,756,1343,1344,967,2294,2294,2294,2294,2294,2296,2296,2296,2301,218,
1387,1387,2294,2295,2296,2296,2296,2294,2295,2295,2295,2297,2298,2300,2294,
2294,2296,2296,1387,2294,2294,2296,2295,865,857,857,865,2350,2350,2351,1058,
1058,1062,1039,1039,1040,1041,1048,1043,3023,1907,1832,1907,1832,671,3023,1387
,1642,1643,1643,1643,1642,1642,1642,1643,522,523,1642,1643,2350,2350,1642,1642
,1643,1643,1642,1643,2350,1642,1642,1643,1643,1067,857,865,505,500,1058,918,
3107,1610,3115,3116,1343,1344,627,3116,3115,2468,2468,1712,627,1712,2468,968,
1002,970,1002,968,970,422,1730,3152,3152,3157,2532,2532,1790,1790,1790,1790,
2086,1790,1790,911,914,857,866,2532,2532,2532,2532,2532,2532,3168,1791,2086,
2089,3152,3155,3156,1790,1790,1790,2104,2535,2535,912,2538,2538,1791,1556,1791
,1294,1297,1293,1309,2113,2107,957,3653,3654,2548,2547,2547,666,2872,2872,1335
,2547,2548,2548,3193,3193,3194,3196,3195,3197,3198,3196,3195,2873,2875,2877,
2873,2875,2879,2874,3193,3196,3195,218,1343,1344,2567,2569,2569,2567,2568,2568
,2569,2569,2571,2570,3194,3197,3198,2568,2567,2568,2567,2569,1343,1344,2567,
2568,2568,2567,2569,1344,1343,1343,2573,1356,1360,1811,1811,1811,1811,1038,
1038,1038,3197,3198,3194,1382,1382,1382,1840,1832,1058,3263,3263,1908,1047,
1840,1832,2645,1844,1832,2645,1408,1908,2645,669,2255,3251,1217,2077,2548,2547
,3303,3304,1335,2294,2295,1067,1068,3308,3309,1294,2770,2775,2771,2983,2983,
1556,1551,1293,1293,1039,1041,1040,1058,2307,2308,2309,2350,2109,2103,2103,
2109,2105,2770,2770,2775,2775,2120,2120,1554,1552,918,1293,2120,2120,2103,2109
,2106,2120,2120,1294,2102,2120,2120,1294,2751,2751,1343,1343,1343,1343,3814,
1343,1343,2178,2178,2179,2178,2179,2178,2178,2179,2178,1356,2900,2900,2178,
2179,2178,2472,2179,2179,2179,2179,2179,2179,1832,2178,1343,3431,2916,2901,
2900,2900,2179,2179,2179,2179,2180,2192,1356,1356,1357,1058,2901,1720,969,2192
,2192,2900,2916,1730,913,2086,2089,2941,3477,3480,2548,3480,3479,3478,1799,
1800,2553,3193,3193,3194,1343,3490,3490,3491,2569,2567,2568,2570,2567,2569,
2294,2607,2607,2965,2968,2968,2968,2968,2965,2966,2966,1058,2294,2294,2294,
2296,2294,2296,2295,2294,2240,2294,2294,2296,2607,2608,3023,1907,3023,3023,
2984,3023,1841,1387,1832,3023,1642,1643,2350,3115,3116,3115,3116,3115,3116,
2468,1290,1712,3303,3304,1731,2085,2085,2086,3306,2103,2103,2105,3157,2086,
3152,911,1790,3152,2532,2532,3157,3157,2532,2532,2532,2532,2532,3152,3152,2086
,3161,3162,2535,2535,3152,3152,3162,3161,3644,3168,2538,3978,3187,3186,3193,
3193,3674,3674,3675,3676,3676,3679,3193,3193,3193,3196,3195,3193,1720,2294,
2873,2877,2874,3684,2567,2568,2877,2873,2877,2879,2875,3674,3676,3676,3679,
3675,3680,3680,3677,3678,1058,3193,2900,2567,2568,2569,3221,3220,2179,2180,
3221,3220,3220,3221,2568,2567,3413,2573,3198,3197,3194,1811,3477,3477,3477,
2547,3477,2229,2645,2638,3263,3752,3753,2964,1387,2606,2294,2295,3308,3309,
3308,3308,2294,3308,3309,2294,2606,3308,3309,3309,3308,2307,2309,2308,2350,
2775,2770,2120,3767,3768,3370,3320,3193,3115,3810,2567,2178,3814,3814,2179,
2874,2876,2876,2876,2874,2876,2876,2876,2876,2876,2179,2179,3814,2472,2876,
2901,4103,3431,2901,3431,2900,2192,2916,3866,3163,3164,3609,3608,3169,3157,
3152,3168,3477,3656,3655,3657,2872,3480,3878,3878,3879,3880,3193,3490,3491,
3878,3879,3490,2873,2875,3490,3490,3491,3491,3193,3193,3490,3490,3490,3490,
3490,2569,2567,3194,3880,2294,3248,2984,2965,2966,3911,2965,2966,2968,3247,
2984,2607,3023,3116,3115,3117,4168,3193,3303,3304,3157,3157,3152,2532,3617,
3617,3162,3161,2770,3161,3162,2777,3158,3158,3157,3614,3152,3614,2765,3614,
3152,2983,3945,3978,2873,3811,3193,3193,3681,3681,3674,3674,3676,3674,3674,
3676,3680,3814,3684,2873,2873,2877,2294,3684,3674,3676,3676,3676,3674,3676,
3679,3675,3681,3684,3681,2900,3684,3193,2899,3221,3220,4033,4042,3477,3193,
3400,3752,3502,4052,3757,2965,3308,3308,2607,3757,3757,3308,3309,4250,4251,
4252,4079,4079,3193,3810,3810,3115,3401,2876,3403,3401,3414,3403,3414,3814,
4103,3431,3306,3866,4114,4113,3865,3978,4121,4120,4122,3981,3981,3982,3193,
3193,3193,3878,3878,3878,3878,4135,4136,3490,3686,3685,3878,3878,3879,3883,
3883,3674,3675,3490,3490,3883,3883,3884,3880,3477,3911,3522,4168,4168,4168,
4169,3503,3614,3617,4193,3615,3978,4319,4320,3674,4197,4197,4083,3684,3402,
3997,3684,3674,3684,3674,3676,3997,3811,3814,4209,3997,4209,3681,3477,4119,
4119,4119,4042,4236,3879,3878,3978,4051,3502,4051,3757,4250,4252,4251,4250,
4252,4252,4250,4251,4251,4079,4079,4079,3810,4168,4168,4169,3820,4269,3944,
3942,4175,4374,4375,4376,4274,3811,3878,4278,4280,4278,4280,4279,3981,3982,
3681,4129,4129,3878,4129,3878,4136,4135,3883,4168,4168,4168,4168,4168,4168,
4168,4403,4404,4405,4237,4052,4250,4409,4324,4324,4083,4209,3996,4197,3997,
4168,3981,4236,4236,4236,4348,4239,4250,4250,4251,4250,4252,4079,4366,4367,
4366,4367,4168,4168,4169,4373,4269,4318,4378,4196,4197,4278,4280,4129,4119,
4447,4168,4168,4311,4168,4311,4311,4311,4403,4349,4457,4458,4250,4408,4408,
4168,4324,4409,4417,4278,4281,4418,4345,4353,4396,4397,4367,4366,4378,4378,
4378,4447,4447,4311,4456,4457,4457,4457,4458,4408,4408,4250,4462,4366,4367,
4417,4418,4447,4471,4472,4397,4396,4471,4472,4501,4440,4447,4447,4447,4506,
4459,4457,4462,4462,4462,4512,4513,4447,4494,4447,4494,4471,4472,4520,4521,
4522,4479,4524,4489,4514,4503,4494,4520,4520,4520,4522,4521,4524,4524,4514,
4527,4520,4524,4524,4524,4524,4543,4539,4545,4534,4547,4543,4540,4545,4547,
4549,4547,4553,4555,4555,4557,4558],
[(1,2,3),( 3, 4, 5, 6, 7, 8, 9,10,11,12,13)],
0,
[(11,12,13),(11,13,12),(10,11)(12,13),(10,11,12),(10,11,13),(10,12,11),
(10,12,13),(10,12)(11,13),(10,13,11),(10,13,12),(10,13)(11,12),( 9,10)(12,13),
( 9,10)(11,12),( 9,10,11),( 9,10,11,12,13),( 9,10,12),( 9,10,13),( 9,11,10),
( 9,11)(12,13),( 9,11,12),( 9,11)(10,12),( 9,12,10),( 9,12)(10,11),
( 8, 9)(12,13),( 8, 9)(11,12),( 8, 9)(11,13),( 8, 9)(10,11),
( 8, 9)(10,12,11,13),( 8, 9)(10,13,12,11),( 8, 9)(10,13),( 8, 9,10),
( 8, 9,10)(11,12,13),( 8, 9,11,10)(12,13),( 8, 9,11),( 8, 9,12),( 8, 9,13),
( 8,10, 9),( 8,10,11,12, 9),( 8,10)(12,13),( 8,10)(11,12),( 8,10)( 9,11),
( 8,10, 9,11)(12,13),( 8,10,12, 9,11),( 8,10,12)( 9,11,13),
( 8,10,11)( 9,12,13),( 8,11, 9),( 8,11)(12,13),( 8,11,12),( 8,11)(10,12),
( 8,11)( 9,10),( 8,11)( 9,12,10,13),( 8,12, 9),( 8,13,11),( 7, 8)(12,13),
( 7, 8)(11,12),( 7, 8)(11,13),( 7, 8)(10,11),( 7, 8)(10,11,13,12),
( 7, 8)(10,12,11,13),( 7, 8)(10,13),( 7, 8)( 9,10),( 7, 8)( 9,11,10,12),
( 7, 8)( 9,12,10,11),( 7, 8)( 9,13),(7,8,9),( 7, 8, 9)(11,12,13),
( 7, 8, 9)(10,11,12),( 7, 8, 9)(10,12,11),( 7, 8, 9,10,11),
( 7, 8,10, 9)(12,13),( 7, 8,10, 9)(11,12),( 7, 8,11),( 7, 8,12),( 7, 8,13),
(7,9,8),( 7, 9, 8)(11,13,12),( 7, 9, 8)(10,11,12),( 7, 9)(12,13),
( 7, 9)(11,12),( 7, 9)(11,13),( 7, 9,10),( 7, 9)( 8,10),( 7, 9, 8,10)(12,13),
( 7, 9,11)( 8,10,12),( 7,10, 8),( 7,10, 9),( 7,10)(11,12),( 7,10, 8, 9)(12,13)
,( 7,10, 8, 9)(11,12),( 7,10)( 8, 9),( 7,10,12)( 8, 9,11),( 7,10)( 8,11, 9,12)
,( 7,11, 8),( 7,11)(12,13),( 7,11,12)( 8, 9,10),( 7,12, 8),( 6, 7)(12,13),
( 6, 7)(11,12),( 6, 7)(11,13),( 6, 7)(10,11),( 6, 7)(10,11,12,13),
( 6, 7)(10,11,13,12),( 6, 7)(10,12),( 6, 7)(10,12,11,13),( 6, 7)(10,13),
( 6, 7)(10,13,11,12),( 6, 7)( 9,10),( 6, 7)( 9,13),(6,7)(8,9),
( 6, 7)( 8, 9)(10,11)(12,13),( 6, 7)( 8, 9)(10,12)(11,13),
( 6, 7)( 8, 9)(10,13)(11,12),( 6, 7)( 8,10),( 6, 7)( 8,10)( 9,11)(12,13),
( 6, 7)( 8,10, 9,11),( 6, 7)( 8,11)( 9,12)(10,13),( 6, 7)( 8,11)( 9,13)(10,12)
,(6,7,8),( 6, 7, 8)(11,12,13),( 6, 7, 8)(10,11,12),( 6, 7, 8)( 9,10,11),
( 6, 7, 8, 9,10),( 6, 7, 9, 8)(10,12,11,13),(6,7,9),( 6, 7,11),( 6, 7,12),
( 6, 7,13),(6,8,7),( 6, 8)(12,13),( 6, 8)(11,12),( 6, 8)(10,11),( 6, 8)( 9,10)
,( 6, 8)( 9,12,10,11),(6,8)(7,9),( 6, 8)( 7, 9)(10,11)(12,13),
( 6, 8)( 7, 9)(10,12)(11,13),( 6, 8, 7, 9)(12,13),( 6, 8, 7, 9)(11,12),
( 6, 8, 7, 9)(10,11),( 6, 8, 7, 9)(10,12,11,13),( 6, 8,10, 7, 9),
( 6, 8, 7,10)(12,13),(6,9,8),( 6, 9)(10,12,11,13),( 6, 9)( 8,10),
( 6, 9, 7, 8)(12,13),( 6, 9, 7, 8)(10,11),(6,9)(7,8),
( 6, 9)( 7, 8)(10,11)(12,13),( 6, 9, 7,10, 8),( 6, 9)( 7,10),( 6,10, 9, 8, 7),
( 6,10, 7),( 6,10)(11,12),( 6,10)( 7, 8),( 6,10)( 7, 9),( 6,11)(12,13),
( 5, 6)(12,13),( 5, 6)(11,12),( 5, 6)(11,13),( 5, 6)(10,11),
( 5, 6)(10,11,13,12),( 5, 6)(10,12),( 5, 6)(10,12,11,13),( 5, 6)(10,13),
( 5, 6)( 9,10),( 5, 6)( 9,10,11,12),( 5, 6)( 9,11,10,12),( 5, 6)( 9,12,10,11),
( 5, 6)( 9,13),(5,6)(8,9),( 5, 6)( 8, 9)(11,12,13),( 5, 6)( 8, 9)(11,13,12),
( 5, 6)( 8, 9)(10,11)(12,13),( 5, 6)( 8, 9)(10,12)(11,13),
( 5, 6)( 8, 9)(10,13)(11,12),( 5, 6)( 8, 9,11,10),( 5, 6)( 8,10),
( 5, 6)( 8,10)( 9,11)(12,13),( 5, 6)( 8,11)( 9,10)(12,13),(5,6)(7,8),
( 5, 6)( 7, 8)(10,11)(12,13),( 5, 6)( 7, 8)(10,12)(11,13),
( 5, 6)( 7, 8)(10,13)(11,12),( 5, 6)( 7, 8)( 9,10)(12,13),
( 5, 6)( 7, 8)( 9,10)(11,12),( 5, 6)( 7, 8)( 9,11)(10,12),
( 5, 6)( 7, 9)( 8,10)(12,13),( 5, 6)( 7, 9, 8,10),( 5, 6)( 7,10)( 8,11)( 9,12)
,( 5, 6)( 7,10)( 8,12)( 9,11),(5,6,7),( 5, 6, 7)(11,12,13),
( 5, 6, 7)( 8, 9,10)(11,12,13),( 5, 6, 7)( 8,10,12)( 9,11,13),(5,6,7,8,9),
( 5, 6, 8, 7)(12,13),(5,6,8),( 5, 6,11),( 5, 6,12),( 5, 6,13),(5,7,6),
( 5, 7, 6)(11,12,13),( 5, 7, 6)(11,13,12),( 5, 7, 6)( 8,10, 9),( 5, 7)(12,13),
( 5, 7)( 9,10),(5,7,8),(5,7)(6,8),( 5, 7)( 6, 8)(10,11)(12,13),
( 5, 7)( 6, 8)(10,12)(11,13),( 5, 7)( 6, 8)(10,13)(11,12),
( 5, 7)( 6, 8)( 9,10)(12,13),( 5, 7)( 6, 8)( 9,10)(11,12),
( 5, 7)( 6, 8)( 9,11)(10,12),( 5, 7)( 6, 8)( 9,12)(10,11),( 5, 7, 6, 8)(12,13)
,( 5, 7, 6, 8)(11,12),( 5, 7, 6, 8)(10,11),( 5, 7, 6, 8)(10,11,13,12),
( 5, 7, 6, 8)(10,12,11,13),( 5, 7, 6, 8)( 9,10),( 5, 7, 6, 8)( 9,11,10,12),
( 5, 7, 9)( 6, 8,10),( 5, 7, 9)( 6, 8,10)(11,12,13),( 5, 7, 9,11)( 6, 8,10,12)
,( 5, 7, 9,12)( 6, 8,10,11),( 5, 7,11, 9)( 6, 8,12,10),(5,8,6),(5,8,7),
( 5, 8)(12,13),( 5, 8)(11,12),( 5, 8)(10,11),( 5, 8)( 9,10),(5,8)(7,9),
( 5, 8, 6, 7)(12,13),( 5, 8, 6, 7)(10,12,11,13),(5,8)(6,7),
( 5, 8)( 6, 7)(10,12)(11,13),( 5, 8)( 6, 7)( 9,10)(12,13),( 5, 8,10)( 6, 7, 9)
,( 5, 8,10)( 6, 7, 9)(11,12,13),( 5, 8)( 6, 9)( 7,10)(12,13),
( 5, 8)( 6, 9, 7,10),( 5, 9)( 6, 8)( 7,10)(12,13),( 5, 9, 7)( 6,10, 8),
( 5, 9)( 6,10)( 7,11)( 8,12),( 5, 9, 6,10)( 7,11, 8,12),
( 5, 9, 7,11)( 6,10, 8,12),( 5, 9)( 6,10)( 7,12)( 8,11),
( 5, 9, 6,10)( 7,12, 8,11),( 5,10)(12,13),( 5,10)(11,12),( 5,10)( 8, 9),
( 5,10)( 7, 8),( 5,10)( 7, 9),( 5,10)( 6, 7),( 5,10)( 6, 7)( 8, 9)(12,13),
( 5,10)( 6, 8)( 7, 9)(12,13),( 5,10)( 6, 8)( 7, 9)(11,12),( 5,10)( 6, 8, 7, 9)
,( 5,10, 7)( 6, 9, 8),( 5,10)( 6, 9)( 7, 8)(12,13),
( 5,10)( 6, 9)( 7,12)( 8,11),( 5,11)(12,13),( 5,11)( 6,12)( 7, 9)( 8,10),
( 4, 5)(12,13),( 4, 5)(11,12),( 4, 5)(11,13),( 4, 5)(10,11),
( 4, 5)(10,11,12,13),( 4, 5)(10,11,13,12),( 4, 5)(10,12,11,13),( 4, 5)(10,13),
( 4, 5)( 9,10),( 4, 5)( 9,13),(4,5)(8,9),( 4, 5)( 8, 9)(10,11)(12,13),
( 4, 5)( 8, 9)(10,12)(11,13),( 4, 5)( 8, 9)(10,13)(11,12),( 4, 5)( 8,10, 9,11)
,( 4, 5)( 8,11)( 9,12)(10,13),( 4, 5)( 8,11)( 9,13)(10,12),(4,5)(7,8),
( 4, 5)( 7, 8)(10,11)(12,13),( 4, 5)( 7, 8)(10,12)(11,13),
( 4, 5)( 7, 8)(10,13)(11,12),( 4, 5)( 7, 8)( 9,10)(12,13),
( 4, 5)( 7, 8)( 9,10)(11,12),( 4, 5)( 7, 8)( 9,11)(10,12),(4,5)(6,7),
( 4, 5)( 6, 7)(10,11)(12,13),( 4, 5)( 6, 7)(10,12)(11,13),
( 4, 5)( 6, 7)( 9,10)(12,13),( 4, 5)( 6, 7)( 8, 9)(12,13),
( 4, 5)( 6, 7)( 8, 9)(11,13),( 4, 5)( 6, 8)( 7, 9)(12,13),
( 4, 5)( 6, 8)( 7, 9)(11,13),( 4, 5)( 6, 8)( 7, 9)(10,11),
( 4, 5)( 6, 8)( 7, 9)(10,12,11,13),(4,5)(6,8,7,9),
( 4, 5)( 6, 8, 7, 9)(10,11)(12,13),( 4, 5)( 6, 8, 7, 9)(10,12)(11,13),
( 4, 5)( 6,10),(4,5,6),( 4, 5, 6)(11,12,13),( 4, 5, 6)(10,11,12),
(4,5,6)(7,8,9),( 4, 5, 6)( 7, 8, 9)(11,12,13),( 4, 5, 6)( 7, 8, 9)(10,11,12),
( 4, 5, 6)( 7, 8, 9)(10,12,11),(4,5,6)(7,9,8),( 4, 5, 6)( 7, 9, 8)(11,12,13),
( 4, 5, 6)( 7, 9, 8)(10,11,12),( 4, 5, 6)( 7, 9,11)( 8,10,12),
( 4, 5, 6, 7)(12,13),( 4, 5, 6, 7)(10,11,13,12),( 4, 5, 6, 7)( 9,10),
(4,5,6,7)(8,9),( 4, 5, 6, 7)( 8,11)( 9,12)(10,13),(4,5,6,7,8),
( 4, 5, 7, 6)(12,13),( 4, 5, 7, 6)(10,12,11,13),
( 4, 5, 7, 6)( 8, 9)(10,12)(11,13),( 4, 5, 7, 6)( 8,11)( 9,12)(10,13),
( 4, 5, 7)( 6, 9, 8)(11,13,12),( 4, 5,10),( 4, 5,10)(11,12,13),
( 4, 5,10)( 7, 8, 9),( 4, 5,10)( 7, 8, 9)(11,12,13),( 4, 5,11),( 4, 5,12),
( 4, 5,13),(4,6,5),(4,6,5)(7,8,9),( 4, 6, 5)( 7, 8, 9)(11,12,13),
( 4, 6, 5)( 7, 8, 9)(11,13,12),( 4, 6, 5)( 7, 8, 9)(10,11,12),(4,6,5)(7,9,8),
( 4, 6, 5)( 7, 9, 8)(11,12,13),( 4, 6, 5)( 7, 9, 8)(11,13,12),( 4, 6)(12,13),
( 4, 6)(11,12),( 4, 6)(10,12,11,13),(4,6)(7,8),( 4, 6)( 7, 9)( 8,13)(10,12),
(4,6)(5,7),( 4, 6)( 5, 7)(10,11)(12,13),( 4, 6)( 5, 7)(10,12)(11,13),
( 4, 6)( 5, 7)( 9,10)(12,13),( 4, 6)( 5, 7)( 8, 9)(12,13),
( 4, 6)( 5, 7)( 8, 9)(10,11),( 4, 6)( 5, 7)( 8, 9)(10,12,11,13),
( 4, 6)( 5, 7)( 8,10)( 9,11),( 4, 6)( 5, 7)( 8,10, 9,11)(12,13),
( 4, 6)( 5, 7)( 8,11)( 9,12,10,13),( 4, 6, 5, 7)(12,13),
( 4, 6, 5, 7)(10,11,12,13),( 4, 6, 5, 7)(10,12,11,13),(4,6,5,7)(8,9),
( 4, 6, 5, 7)( 8, 9)(10,11)(12,13),( 4, 6, 5, 7)( 8, 9)(10,12)(11,13),
( 4, 6, 5, 7)( 8,11)( 9,12)(10,13),(4,6,8)(5,7,9),
( 4, 6, 8)( 5, 7, 9)(11,12,13),( 4, 6, 8)( 5, 7, 9)(10,12,11),(4,6,7)(5,8,9),
( 4, 6,11)( 5, 8, 9)( 7,10,12),( 4, 7)(12,13),( 4, 7)( 9,12,10,11),
( 4, 7)( 6,12)( 8, 9)(10,11),(4,7)(5,6),( 4, 7)( 5, 6)(10,12)(11,13),
( 4, 7)( 5, 6)( 9,10)(12,13),( 4, 7)( 5, 6)( 8, 9)(12,13),
( 4, 7)( 5, 6)( 8, 9)(10,12,11,13),( 4, 7)( 5, 6)( 8,10)( 9,11),
( 4, 7)( 5, 6)( 8,11)( 9,12,10,13),(4,7,8)(5,6,9),
( 4, 7, 8)( 5, 6, 9)(11,12,13),( 4, 7, 8)( 5, 6, 9)(11,13,12),
( 4, 7, 9)( 5, 8, 6)(11,12,13),( 4, 7, 9)( 5, 8, 6)(11,13,12),
( 4, 7)( 5, 8)( 6, 9)(12,13),( 4, 7)( 5, 8)( 6, 9)(11,12),
( 4, 7)( 5, 8)( 6, 9)(10,11),( 4, 7)( 5, 8)( 6, 9)(10,12,11,13),
( 4, 7)( 5, 8)( 6, 9)(10,13,11,12),(4,7)(5,8,6,9),
( 4, 7)( 5, 8, 6, 9)(10,11)(12,13),( 4, 7)( 5, 8, 6, 9)(10,12)(11,13),
( 4, 7,10)( 5, 8,11)( 6, 9,12),( 4, 7,10)( 5, 8,12)( 6, 9,11),
( 4, 7,10, 5, 8,12, 6, 9,11),( 4, 7)( 5, 9)( 6, 8)(12,13),
( 4, 7)( 5, 9)( 6, 8)(10,12,11,13),( 4, 7)( 5,11)( 6, 9)(10,12),(4,8,7),
( 4, 8)(11,12),(4,8)(6,7),( 4, 8, 7, 9)( 6,10,12,11),
( 4, 8)( 5, 9)( 6, 7)(12,13),( 4, 9)( 5,11)( 6, 7)( 8,13),( 4,10, 5),
( 4,10, 5)(11,13,12),( 4,10)(12,13),( 4,10)(11,12),( 4,10)( 8, 9),
( 4,10)( 6, 7)( 8, 9)(12,13),( 4,10)( 6, 8)( 7, 9)(12,13),( 4,10)( 6, 8, 7, 9)
,( 4,11)(12,13),( 3, 4)(12,13),( 3, 4)(11,12),( 3, 4)(11,13),( 3, 4)(10,11),
( 3, 4)(10,11,12,13),( 3, 4)(10,11,13,12),( 3, 4)(10,12,11,13),( 3, 4)(10,13),
( 3, 4)( 9,10),( 3, 4)( 9,10,11,12),( 3, 4)( 9,11,10,12),( 3, 4)( 9,12,10,11),
( 3, 4)( 9,13),(3,4)(8,9),( 3, 4)( 8, 9)(10,11)(12,13),
( 3, 4)( 8, 9)(10,12)(11,13),( 3, 4)( 8, 9)(10,13)(11,12),
( 3, 4)( 8,10)( 9,11)(12,13),( 3, 4)( 8,11)( 9,12)(10,13),
( 3, 4)( 8,11)( 9,13)(10,12),(3,4)(7,8),( 3, 4)( 7, 8)(10,11)(12,13),
( 3, 4)( 7, 8)(10,12)(11,13),( 3, 4)( 7, 8)(10,13)(11,12),
( 3, 4)( 7, 8)( 9,10)(12,13),( 3, 4)( 7, 8)( 9,10)(11,12),
( 3, 4)( 7, 8)( 9,11)(10,12),(3,4)(7,9),( 3, 4)( 7, 9)( 8,10)(12,13),
( 3, 4)( 7, 9, 8,10),( 3, 4)( 7,10)( 8, 9)(12,13),( 3, 4)( 7,10)( 8,11)( 9,12)
,( 3, 4)( 7,10)( 8,12)( 9,11),(3,4)(6,7),( 3, 4)( 6, 7)(10,11)(12,13),
( 3, 4)( 6, 7)(10,12)(11,13),( 3, 4)( 6, 7)( 9,10)(12,13),
( 3, 4)( 6, 7)( 8, 9)(12,13),( 3, 4)( 6, 7)( 8, 9)(10,11),
( 3, 4)( 6, 7)( 8, 9)(10,12,11,13),( 3, 4)( 6, 7)( 8,10)( 9,11),
( 3, 4)( 6, 7)( 8,10, 9,11)(12,13),( 3, 4)( 6, 7)( 8,11)( 9,12,10,13),
(3,4)(6,8),( 3, 4)( 6, 8)( 9,10)(12,13),( 3, 4)( 6, 8)( 7, 9)(12,13),
( 3, 4)( 6, 8)( 7, 9)(11,12),(3,4)(6,8,7,9),( 3, 4)( 6, 9)( 7, 8)(12,13),
(3,4)(5,6),( 3, 4)( 5, 6)(10,11)(12,13),( 3, 4)( 5, 6)(10,12)(11,13),
( 3, 4)( 5, 6)( 9,10)(11,12),( 3, 4)( 5, 6)( 9,11)(10,12),
( 3, 4)( 5, 6)( 7, 8)(12,13),( 3, 4)( 5, 6)( 7, 8)(11,12),
( 3, 4)( 5, 6)( 7, 8)(10,11),( 3, 4)( 5, 6)( 7, 8)(10,11,13,12),
( 3, 4)( 5, 6)( 7, 8)(10,12,11,13),( 3, 4)( 5, 6)( 7, 8)( 9,10),
( 3, 4)( 5, 6)( 7, 8)( 9,11,10,12),( 3, 4)( 5, 6)( 7, 8)( 9,12,10,11),
( 3, 4)( 5, 7)( 6, 8)(12,13),( 3, 4)( 5, 7)( 6, 8)(11,12),
( 3, 4)( 5, 7)( 6, 8)(10,11),( 3, 4)( 5, 7)( 6, 8)(10,11,13,12),
( 3, 4)( 5, 7)( 6, 8)(10,12,11,13),( 3, 4)( 5, 7)( 6, 8)( 9,10),
( 3, 4)( 5, 7)( 6, 8)( 9,11,10,12),( 3, 4)( 5, 7)( 6, 8)( 9,12,10,11),
(3,4)(5,7,6,8),( 3, 4)( 5, 7, 6, 8)(10,11)(12,13),
( 3, 4)( 5, 7, 6, 8)(10,12)(11,13),( 3, 4)( 5, 7, 6, 8)(10,13)(11,12),
( 3, 4)( 5, 7, 6, 8)( 9,10)(12,13),(3,4)(5,8),( 3, 4)( 5, 8)( 6, 7)(12,13),
( 3, 4)( 5, 8)( 6, 7)(11,12),( 3, 4)( 5, 8)( 6, 7)(10,11,13,12),
( 3, 4)( 5, 8)( 6, 7)( 9,10),( 3, 4)( 5, 9)( 6,10)( 7,11, 8,12),
( 3, 4)( 5, 9, 7,11, 6,10, 8,12),( 3, 4)( 5, 9, 8,12, 6,10, 7,11),
( 3, 4)( 5, 9, 7,12, 6,10, 8,11),( 3, 4)( 5,10),( 3, 4)( 5,10)( 8, 9)(12,13),
( 3, 4)( 5,10)( 6, 9)( 7, 8),(3,4,5),( 3, 4, 5)(11,12,13),( 3, 4, 5)( 9,10,11)
,( 3, 4, 5)( 8,10,12)( 9,11,13),(3,4,5)(7,8,9),( 3, 4, 5)( 7, 8, 9)(11,12,13),
(3,4,5)(7,9,8),( 3, 4, 5)( 7, 9, 8)(11,12,13),(3,4,5)(6,7,8),
( 3, 4, 5)( 6, 7, 8)(11,12,13),( 3, 4, 5, 6)(12,13),( 3, 4, 5, 6)(10,11),
( 3, 4, 5, 6)(10,12,11,13),( 3, 4, 5, 6)( 9,10,11,12),
( 3, 4, 5, 6)( 8,10)( 9,11)(12,13),( 3, 4, 5, 6)( 7, 8, 9,12),(3,4,5,6,7),
(3,4,5,6,7,8,9),( 3, 4, 5,10)(12,13),( 3, 4, 5,10)(11,12),( 3, 4, 6, 5)(12,13)
,(3,4,6,5)(8,9),( 3, 4, 6, 5)( 8, 9)(10,12)(11,13),(3,4,6),
( 3, 4, 6)(10,12,11),(3,4,6)(5,8,7),(3,4,6,5,8,9,7),( 3, 4, 7, 5)(10,13,11,12)
,(3,4,7),( 3, 4, 7, 8,10, 5, 6, 9)(12,13),(3,4,8),(3,4,9),
( 3, 4, 9)( 5,13, 6)( 7, 8,11),( 3, 4,10, 5)( 6, 8, 7, 9),( 3, 4,10),
( 3, 4,11),( 3, 4,12),( 3, 4,13),(3,5,4),( 3, 5, 4)( 6,10, 9),(3,5,6,8,4),
( 3, 5)(12,13),( 3, 5)( 9,10),( 3, 5)( 6,10)( 8, 9)(11,12),(3,5)(4,6),
( 3, 5)( 4, 6)(10,11)(12,13),( 3, 5)( 4, 6)(10,12)(11,13),
( 3, 5)( 4, 6)( 9,10)(12,13),( 3, 5)( 4, 6)( 9,11)(10,12),
( 3, 5)( 4, 6)( 9,12)(10,11),( 3, 5)( 4, 6)( 8, 9)(12,13),
( 3, 5)( 4, 6)( 8, 9)(11,12),( 3, 5)( 4, 6)( 8, 9)(10,11),
( 3, 5)( 4, 6)( 8, 9)(10,12,11,13),( 3, 5)( 4, 6)( 8,10, 9,11)(12,13),
( 3, 5)( 4, 6)( 8,11)( 9,10),( 3, 5)( 4, 6)( 7, 8)(11,12),
( 3, 5)( 4, 6)( 7, 9)( 8,10),( 3, 5)( 4, 6)( 7, 9, 8,10)(12,13),
( 3, 5)( 4, 6)( 7,10)( 8,11, 9,12),( 3, 5, 4, 6)(12,13),( 3, 5, 4, 6)(11,12),
( 3, 5, 4, 6)(10,12,11,13),( 3, 5, 4, 6)( 9,10,11,12),
( 3, 5, 4, 6)( 9,11,10,12),(3,5,4,6)(8,9),( 3, 5, 4, 6)( 8, 9)(10,12)(11,13),
( 3, 5, 4, 6)( 8,11)( 9,10)(12,13),( 3, 5, 4, 6)( 7, 9, 8,10),
( 3, 5, 4, 6)( 7,10, 8, 9),(3,5,7)(4,6,8),( 3, 5, 7)( 4, 6, 8)(11,12,13),
( 3, 5, 7)( 4, 6, 8)(11,13,12),( 3, 5, 7)( 4, 6, 8)(10,11,12),
( 3, 5, 7)( 4, 6, 8)( 9,10,11),( 3, 5, 7, 9,10, 4, 6, 8)(12,13),
( 3, 5, 7, 9,11)( 4, 6, 8,10,12),(3,5,8)(4,6,7),( 3, 5, 9, 7)( 4, 6,10, 8),
( 3, 5, 9, 8, 4, 6,10, 7)(12,13),( 3, 5)( 4, 7)( 6, 8)(12,13),
( 3, 5)( 4, 7)( 6, 8)(10,12,11,13),( 3, 5)( 4, 8)( 6,12)( 7, 9),
( 3, 5,12, 8)( 4, 9, 6,11),( 3, 5)( 4,10),( 3, 5)( 4,10)( 8, 9)(12,13),
( 3, 5)( 4,10)( 8, 9)(11,12),( 3, 5)( 4,10)( 6, 7)(12,13),
( 3, 5)( 4,10)( 6, 7)( 8, 9),( 3, 5)( 4,10)( 6, 8)( 7, 9),
( 3, 5)( 4,10)( 6, 8, 7, 9)(12,13),( 3, 5)( 4,10)( 6, 8, 7, 9)(11,12),
( 3, 5, 4,10)(12,13),( 3, 5, 4,10)( 8, 9),( 3, 5, 4,10)( 6, 7)( 8, 9)(12,13),
( 3, 5, 4,10)( 6, 8)( 7, 9)(12,13),( 3, 5, 4,10)( 6, 8)( 7, 9)(11,12),
( 3, 6, 4)(10,12)(11,13),( 3, 6, 4)( 5, 7, 8)( 9,13,10,11,12),( 3, 6)(12,13),
( 3, 6)(10,11,13,12),( 3, 6)(10,12,11,13),(3,6)(7,8),
( 3, 6)( 7, 8)(10,13)(11,12),( 3, 6)( 7,10)( 8, 9)(12,13),
( 3, 6, 4, 5)( 7, 8)( 9,11)(10,12),( 3, 6, 4, 5)( 7,10, 8, 9),(3,6)(4,5),
( 3, 6)( 4, 5)( 9,10)(12,13),( 3, 6)( 4, 5)( 9,12)(10,11),
( 3, 6)( 4, 5)( 7,10, 8, 9)(12,13),( 3, 6)( 4, 5)( 7,10)( 8, 9),(3,6,4,5,7),
(3,6,8)(4,5,7),( 3, 6, 8)( 4, 5, 7)(11,12,13),( 3, 6, 8)( 4, 5, 7)(10,12,11),
( 3, 6, 7)( 4, 5, 8)( 9,13,11),( 3, 6)( 4, 7)( 5, 8)(12,13),
( 3, 6)( 4, 7)( 5, 8)(10,11,13,12),( 3, 6)( 4, 7)( 5, 8)( 9,10),(3,6)(4,7,5,8)
,( 3, 6)( 4, 7, 5, 8)( 9,10)(12,13),(3,6,7)(4,8,5),
( 3, 6)( 4, 8)( 5, 7)(12,13),( 3, 6)( 4, 8)( 5, 7)(10,11,13,12),
( 3, 6)( 4, 8)( 5, 7)(10,12,11,13),( 3, 6)( 4, 8)( 5, 7)( 9,10),
( 3, 6)( 4, 8)( 5,12)(10,11),(3,7,6),( 3, 7)(12,13),(3,7,8),
( 3, 7)( 4, 5)( 6, 8)(12,13),( 3, 7, 9)( 4, 5, 8)(11,12,13),
( 3, 7)( 4, 6)( 5, 8)(11,13),( 3, 7)( 4, 8)( 5, 6)(11,13),
( 3, 7)( 4, 8)( 5, 9)( 6,10),( 3, 7)( 4, 8)( 5,10)( 6, 9),
( 3, 7, 5,10,12)( 4, 8, 6, 9,11),(3,8,5,6,4),(3,8,7),(3,8)(5,6),
( 3, 8)( 4, 6)( 5, 7)(12,13),( 3, 8)( 4, 6)( 5, 7)(11,12),
( 3, 8)( 4, 6)( 5, 7)(10,11),( 3, 8,10, 9)( 4, 6, 5, 7),
( 3, 8)( 4, 7)( 5, 6)(12,13),( 3, 8, 6,10, 4, 7, 5, 9)(11,12),
( 3, 8)( 4, 7)( 5,10, 6, 9)(12,13),( 3, 8)( 4, 7)( 5,10)( 6, 9),
( 3, 9)( 5,11)( 6,10)( 7, 8),( 3, 9)( 4,10)( 5, 7)( 6, 8),
( 3, 9, 4,10)( 5, 7)( 6, 8)(12,13),( 3, 9)( 4,10)( 5, 8)( 6, 7),( 3,10)(11,12)
,( 3,10)( 4, 5),( 3,10)( 4, 5)( 6, 7)( 8, 9),( 3,10)( 4, 9)( 5, 8)(11,12),
( 3,10,12)( 4, 9, 8)( 5,11, 6),( 3,11, 8, 4)( 6, 7,10, 9),( 3,11)(12,13),
( 3,11, 6)( 5,10,12)( 7, 8, 9),( 3,11, 5)( 4, 7,13)( 6, 9, 8),
( 3,12)( 5, 6)( 7, 9)(10,11),( 3,12)( 4, 6)( 5, 8)( 9,11),( 2, 3)(12,13),
( 2, 3)(11,12),( 2, 3)(10,11),( 2, 3)(10,11,12,13),( 2, 3)(10,11,13,12),
( 2, 3)(10,12,11,13),( 2, 3)(10,13),( 2, 3)( 9,10,11,12),( 2, 3)( 9,13),
(2,3)(8,9),( 2, 3)( 8, 9)(11,12,13),( 2, 3)( 8, 9)(10,11)(12,13),
( 2, 3)( 8, 9)(10,12)(11,13),( 2, 3)( 8, 9)(10,13)(11,12),( 2, 3)( 8,10),
( 2, 3)( 8,10)( 9,11)(12,13),( 2, 3)( 8,10, 9,11),( 2, 3)( 8,11)( 9,10)(12,13)
,( 2, 3)( 8,11)( 9,12)(10,13),( 2, 3)( 8,11)( 9,13)(10,12),(2,3)(7,8),
( 2, 3)( 7, 8)(10,11)(12,13),( 2, 3)( 7, 8)(10,13)(11,12),
( 2, 3)( 7, 8)( 9,11)(10,12),(2,3)(7,9),( 2, 3)( 7, 9)( 8,10)(12,13),
( 2, 3)( 7,10)( 8,11)( 9,12),( 2, 3)( 7,10)( 8,12)( 9,11),(2,3)(6,7),
( 2, 3)( 6, 7)(10,12)(11,13),( 2, 3)( 6, 7)( 9,10)(12,13),
( 2, 3)( 6, 7)( 8, 9)(12,13),( 2, 3)( 6, 7)( 8, 9)(11,12),
( 2, 3)( 6, 7)( 8, 9)(10,12,11,13),( 2, 3)( 6, 7)( 8,11)( 9,12,10,13),
(2,3)(6,8),( 2, 3)( 6, 8)( 7, 9)(12,13),( 2, 3)( 6, 8)( 7, 9)(10,11),
( 2, 3)( 6, 8)( 7, 9)(10,12,11,13),(2,3)(6,8,7,9),
( 2, 3)( 6, 8, 7, 9)(10,11)(12,13),( 2, 3)( 6, 8, 7, 9)(10,12)(11,13),
(2,3)(6,9,7,8),(2,3)(5,6),( 2, 3)( 5, 6)(10,11)(12,13),
( 2, 3)( 5, 6)(10,12)(11,13),( 2, 3)( 5, 6)(10,13)(11,12),
( 2, 3)( 5, 6)( 8, 9)(12,13),( 2, 3)( 5, 6)( 8, 9)(11,12),
( 2, 3)( 5, 6)( 8, 9)(11,13),( 2, 3)( 5, 6)( 8, 9)(10,11),
( 2, 3)( 5, 6)( 8, 9)(10,12,11,13),( 2, 3)( 5, 6)( 8, 9)(10,13,12,11),
( 2, 3)( 5, 6)( 8, 9)(10,13,11,12),( 2, 3)( 5, 6)( 8, 9,11,10)(12,13),
( 2, 3)( 5, 6)( 8,11)( 9,10),( 2, 3)( 5, 6)( 7, 8)(11,12),
( 2, 3)( 5, 6)( 7,10)( 8,11, 9,12),(2,3)(5,6,8,7),(2,3)(5,8),( 2, 3)( 5,10),
( 2, 3)( 5,10)( 8, 9)(12,13),( 2, 3)( 5,10)( 8, 9)(11,12),
( 2, 3)( 5,10)( 6, 7)(11,13),( 2, 3)( 5,10)( 6, 7)( 8, 9),
( 2, 3)( 5,10)( 6, 8)( 7, 9),( 2, 3)( 5,10)( 6, 8, 7, 9)(12,13),(2,3)(4,5),
( 2, 3)( 4, 5)(10,11)(12,13),( 2, 3)( 4, 5)(10,12)(11,13),
( 2, 3)( 4, 5)( 8, 9)(12,13),( 2, 3)( 4, 5)( 7, 8)(11,12),
( 2, 3)( 4, 5)( 7, 8)(11,13),( 2, 3)( 4, 5)( 6, 7)(12,13),
( 2, 3)( 4, 5)( 6, 7)(10,11,12,13),( 2, 3)( 4, 5)( 6, 7)(10,12,11,13),
( 2, 3)( 4, 5)( 6, 7)( 9,10),(2,3)(4,5)(6,7)(8,9),
( 2, 3)( 4, 5)( 6, 7)( 8, 9)(10,12)(11,13),
( 2, 3)( 4, 5)( 6, 7)( 8,11)( 9,12)(10,13),
( 2, 3)( 4, 5)( 6, 7)( 8,11)( 9,13)(10,12),( 2, 3)( 4, 5)( 6,10)( 7, 8),
(2,3)(4,6),( 2, 3)( 4, 6)( 5, 7)(12,13),( 2, 3)( 4, 6)( 5, 7)(10,11),
( 2, 3)( 4, 6)( 5, 7)(10,11,12,13),( 2, 3)( 4, 6)( 5, 7)(10,12,11,13),
(2,3)(4,6)(5,7)(8,9),( 2, 3)( 4, 6)( 5, 7)( 8, 9)(10,11)(12,13),
( 2, 3)( 4, 6)( 5, 7)( 8, 9)(10,12)(11,13),
( 2, 3)( 4, 6)( 5, 7)( 8, 9)(10,13)(11,12),
( 2, 3)( 4, 6)( 5, 7)( 8,11)( 9,12)(10,13),
( 2, 3)( 4, 6)( 5, 7)( 8,11)( 9,13)(10,12),(2,3)(4,6,5,7),
( 2, 3)( 4, 6, 5, 7)(10,12)(11,13),( 2, 3)( 4, 6, 5, 7)( 9,10)(12,13),
(2,3)(4,7)(5,8)(6,9),( 2, 3)( 4, 7)( 5, 8)( 6, 9)(10,11)(12,13),
( 2, 3)( 4, 7)( 5, 8)( 6, 9)(10,12)(11,13),
( 2, 3)( 4, 7)( 5, 8, 6, 9)(10,12,11,13),(2,3)(4,7)(5,9)(6,8),
( 2, 3)( 4, 7)( 5, 9)( 6, 8)(10,11)(12,13),
( 2, 3)( 4, 7)( 5, 9)( 6, 8)(10,12)(11,13),(2,3)(4,8)(5,7)(6,9),
(2,3)(4,8)(5,9)(6,7),(2,3)(4,9)(5,7)(6,8),(2,3)(4,9)(5,8)(6,7),
( 2, 3)( 4, 9)( 5, 8)( 6, 7)(10,11)(12,13),
( 2, 3)( 4, 9)( 5, 8)( 6, 7)(10,12)(11,13),
( 2, 3)( 4, 9, 6, 7)( 5,11)( 8,10,13,12),( 2, 3)( 4,10),
( 2, 3)( 4,10)( 7, 8)(11,13),(2,3,4),( 2, 3, 4)(11,12,13),( 2, 3, 4)(11,13,12)
,( 2, 3, 4)(10,11,12),( 2, 3, 4)( 9,10,11),( 2, 3, 4)( 8, 9,10),
( 2, 3, 4)( 8, 9,10)(11,12,13),( 2, 3, 4)( 8, 9,10)(11,13,12),
( 2, 3, 4)( 8,10, 9),( 2, 3, 4)( 8,10, 9)(11,12,13),
( 2, 3, 4)( 8,10,12)( 9,11,13),(2,3,4)(6,7,8),( 2, 3, 4)( 6, 7, 8)(11,12,13),
( 2, 3, 4)( 6, 7, 8)(10,11,12),( 2, 3, 4)( 6, 7, 8)( 9,10,11),(2,3,4)(5,6,7),
( 2, 3, 4)( 5, 6, 7)( 8, 9,10),( 2, 3, 4)( 5, 6, 7)( 8,10,12)( 9,11,13),
(2,3,4)(5,6,8),(2,3,4)(5,8,7),( 2, 3, 4)( 5, 8, 7)(10,11,12),(2,3,4,5,6),
(2,3,4,5,6,7,8),( 2, 3, 4, 5, 9)( 6, 8,10),( 2, 3, 5, 4)(12,13),
( 2, 3, 5, 4)(11,12),( 2, 3, 5, 4)(10,11),( 2, 3, 5, 4)(10,11,12,13),
( 2, 3, 5, 4)(10,12,11,13),( 2, 3, 5, 4)( 9,11,10,12),(2,3,5,4)(8,9),
( 2, 3, 5, 4)( 8, 9)(10,11)(12,13),( 2, 3, 5, 4)( 8, 9)(10,12)(11,13),
( 2, 3, 5, 4)( 8,11)( 9,12)(10,13),(2,3,5,4)(7,8),( 2, 3, 5, 4)( 7, 8,10, 9),
( 2, 3, 5, 4)( 7, 9,10, 8),( 2, 3, 5, 4)( 6, 8)( 7, 9)(12,13),
( 2, 3, 5, 4)( 6, 8)( 7, 9)(10,12,11,13),(2,3,5,4)(6,8,7,9),
( 2, 3, 5, 4)( 6, 8, 7, 9)(10,11)(12,13),( 2, 3, 5, 4)( 6, 9, 8,10),
( 2, 3, 5, 4)( 6,10, 8, 9),(2,3,5),(2,3,5)(6,8,9),(2,3,5)(4,7,6),
( 2, 3, 5)( 4, 7, 6)(11,12,13),( 2, 3, 5)( 4, 7, 6)( 8, 9,10),
( 2, 3, 5)( 4, 7, 6)( 8, 9,10)(11,12,13),
( 2, 3, 5)( 4, 7, 6)( 8,10,12)( 9,11,13),(2,3,5,4,7,8,6),
( 2, 3, 5, 9, 6,11,10, 8, 4, 7)(12,13),(2,3,7,6,4),(2,3,7,4,5)(6,8,9),
( 2, 3, 7, 5)( 4,10, 9, 8),( 2, 3,11),( 2, 3,12),( 2, 3,13),(2,4,3),
(2,4,3)(6,8,7),(2,4,3)(5,7,8),( 2, 4, 6, 7, 5)( 8,11,12)( 9,13,10),(2,4)(3,5),
( 2, 4)( 3, 5)(10,11)(12,13),( 2, 4)( 3, 5)(10,12)(11,13),
( 2, 4)( 3, 5)(10,13)(11,12),( 2, 4)( 3, 5)( 9,10)(12,13),
( 2, 4)( 3, 5)( 8, 9)(12,13),( 2, 4)( 3, 5)( 8, 9)(10,11),
( 2, 4)( 3, 5)( 8, 9)(10,12,11,13),( 2, 4)( 3, 5)( 7, 8)(12,13),
( 2, 4)( 3, 5)( 7, 8)(10,11),(2,4)(3,5)(6,8)(7,9),
( 2, 4)( 3, 5)( 6, 8)( 7, 9)(10,11)(12,13),
( 2, 4)( 3, 5)( 6, 8)( 7, 9)(10,12)(11,13),( 2, 4)( 3, 5)( 6, 8, 7, 9)(12,13),
(2,4)(3,5)(6,9)(7,8),( 2, 4, 3, 5)(12,13),( 2, 4, 3, 5)(10,11),
( 2, 4, 3, 5)(10,12,11,13),(2,4,3,5)(8,9),( 2, 4, 3, 5)( 8, 9)(10,11)(12,13),
( 2, 4, 3, 5)( 8,11)( 9,13)(10,12),( 2, 4, 3, 5)( 6, 7)( 8, 9)(12,13),
( 2, 4, 3, 5)( 6, 8)( 7, 9)(12,13),(2,4,3,5)(6,8,7,9),
( 2, 4, 3, 5)( 6, 8, 7, 9)(10,11)(12,13),
( 2, 4, 3, 5)( 6, 8, 7, 9)(10,12)(11,13),(2,4,3,5,7),(2,4,6,3,5),
(2,4,6)(3,5,7),( 2, 4, 6)( 3, 5, 7)(11,12,13),( 2, 4, 6)( 3, 5, 7)(11,13,12),
( 2, 4, 6)( 3, 5, 7)( 8, 9,10),( 2, 4, 6)( 3, 5, 7)( 8,10,12)( 9,11,13),
( 2, 4, 7, 3, 5)( 9,11,12,13,10),( 2, 4, 8)( 3, 5,11)( 6,10,12),
( 2, 4)( 3, 6)(10,11,12),(2,4,3,6,5),(2,4,7,5)(3,6),
( 2, 4, 8, 9, 7)( 3, 6,10,11,12),(2,4)(3,7,6,5),( 2, 4)( 3, 7)( 6, 8)(12,13),
( 2, 4)( 3, 7)( 6, 8)(10,11),( 2, 4)( 3, 7)( 6, 8)(10,12,11,13),
(2,4,3,7)(5,6,9,8),( 2, 4, 3, 7)( 5, 6, 9, 8)(10,12)(11,13),
( 2, 4,10, 6, 5)( 3, 7, 8,11, 9),( 2, 4,10)( 3, 7, 6)( 5,13,11)( 8, 9,12),
(2,4,3,9)(5,7,8,6),( 2, 4, 5)( 3, 9, 7)( 6, 8,10),(2,5,4,3)(6,7),
(2,5,3)(6,9,8),(2,5,4,6,3),( 2, 5)(12,13),(2,5)(7,8),(2,5)(6,8),
( 2, 5, 6)( 8,10, 9),( 2, 5, 6)( 7,11,12)( 8, 9,10),(2,5,8),(2,5,4,6,7),
(2,5)(3,4),( 2, 5)( 3, 4)(10,11)(12,13),( 2, 5)( 3, 4)(10,12)(11,13),
( 2, 5)( 3, 4)( 9,10)(12,13),( 2, 5)( 3, 4)( 9,10)(11,12),
( 2, 5)( 3, 4)( 8, 9)(12,13),( 2, 5)( 3, 4)( 8, 9)(11,12),
( 2, 5)( 3, 4)( 8, 9)(10,12,11,13),( 2, 5)( 3, 4)( 8,10)( 9,11),
( 2, 5)( 3, 4)( 7, 8)(12,13),( 2, 5)( 3, 4)( 7, 8)(10,11,13,12),
( 2, 5)( 3, 4)( 7,10)( 8, 9),(2,5)(3,4)(6,7)(8,9),(2,5)(3,4)(6,8)(7,9),
( 2, 5)( 3, 4)( 6, 8)( 7, 9)(10,12)(11,13),( 2, 5)( 3, 4)( 6, 8, 7, 9)(12,13),
(2,5)(3,4)(6,9)(7,8),( 2, 5, 7, 6)( 3, 4)(10,11)(12,13),(2,5,8)(3,6,4),
( 2, 5)( 3, 6)( 4, 7)(12,13),( 2, 5)( 3, 6)( 4, 7)(10,11),
( 2, 5)( 3, 6)( 4, 7)(10,11,12,13),( 2, 5)( 3, 6)( 4, 7)(10,12,11,13),
(2,5)(3,6)(4,7)(8,9),( 2, 5)( 3, 6)( 4, 7)( 8, 9)(10,11)(12,13),
( 2, 5)( 3, 6)( 4, 7)( 8, 9)(10,12)(11,13),
( 2, 5)( 3, 6)( 4, 7)( 8,11)( 9,12)(10,13),(2,5)(3,6,4,7),
( 2, 5)( 3, 6, 4, 7)( 8, 9)(12,13),( 2, 5)( 3, 7)( 4, 6)(12,13),
( 2, 5)( 3, 7)( 4, 6)(10,11,12,13),( 2, 5)( 3, 7)( 4, 6)(10,12,11,13),
( 2, 5)( 3, 7)( 4, 6)( 9,10),(2,5)(3,7)(4,6)(8,9),
( 2, 5)( 3, 7)( 4, 6)( 8,11)( 9,12)(10,13),(2,5,3,8)(4,6,9,7),
(2,5,3,9)(4,6,7,8),( 2, 5, 7, 8, 3, 9, 4, 6)(12,13),
( 2, 5, 7, 8, 3, 9, 4, 6)(10,11),( 2, 5, 7, 8, 3, 9, 4, 6)(10,12,11,13),
(2,5,3,9)(4,8,7,6),( 2, 5, 4,13,10,11)( 3, 9, 7,12, 6, 8),
( 2, 5)( 3,11)( 4, 8, 6,13)( 7,10, 9,12),(2,6,3)(4,7,5),(2,6,5),(2,6)(4,7,5,8)
,(2,6)(3,4)(5,7)(8,9),(2,6,8,7,4,3,5),(2,6,4,3,7),(2,6)(3,7,5)(4,8),
(2,6)(3,7)(4,8)(5,9),( 2, 6)( 3, 7)( 4, 8)( 5, 9)(10,11)(12,13),
( 2, 6)( 3, 7)( 4, 8)( 5, 9)(10,12)(11,13),
( 2, 6)( 3, 7)( 4, 8)( 5, 9)(10,13)(11,12),( 2, 6)( 3, 7)( 4, 8, 5, 9)(12,13),
(2,6,3,7)(4,8,5,9),( 2, 6, 3, 7)( 4, 8, 5, 9)(10,11)(12,13),(2,6,4,8)(3,7,5,9)
,( 2, 6, 4, 8)( 3, 7, 5, 9)(10,11)(12,13),
( 2, 6, 4, 8)( 3, 7, 5, 9)(10,12)(11,13),
( 2, 6, 4, 8, 3, 7, 5, 9)(10,13,11,12),(2,6)(3,7)(4,9)(5,8),
( 2, 6)( 3, 7)( 4, 9)( 5, 8)(10,11)(12,13),
( 2, 6)( 3, 7)( 4, 9)( 5, 8)(10,12)(11,13),
( 2, 6)( 3, 7)( 4, 9)( 5, 8)(10,13)(11,12),(2,6,3,8)(4,5,7,9),
( 2, 6, 3, 8)( 4, 5, 7, 9)(10,12)(11,13),
( 2, 6, 3, 8)( 4, 5, 7, 9)(10,13)(11,12),(2,6,3,8)(4,9,7,5),
( 2, 6)( 3, 9)( 4, 7)( 5, 8)(10,12)(11,13),
( 2, 6, 3, 9)( 4, 7, 5, 8)(10,12)(11,13),(2,7)(5,6),(2,7,8,4,5),
(2,7,3,4)(5,8,9,6),( 2, 7, 3, 4)( 5, 8, 9, 6)(10,11)(12,13),(2,7,3,5,4)(6,8,9)
,( 2, 7)( 3, 5)( 4, 9)( 8,10),( 2, 7, 5, 8, 3, 6, 4)( 9,11,13,10,12),
( 2, 7)( 3, 6)( 4, 5)(12,13),( 2, 7)( 3, 6)( 4, 5)(11,12),
( 2, 7)( 3, 6)( 4, 5)(11,13),( 2, 7)( 3, 6)( 4, 5)(10,11),
( 2, 7)( 3, 6)( 4, 5)(10,11,12,13),( 2, 7)( 3, 6)( 4, 5)(10,11,13,12),
( 2, 7)( 3, 6)( 4, 5)(10,12,11,13),( 2, 7)( 3, 6)( 4, 5)( 9,10),
(2,7)(3,6)(4,5)(8,9),( 2, 7)( 3, 6)( 4, 5)( 8, 9)(10,11)(12,13),
( 2, 7)( 3, 6)( 4, 5)( 8, 9)(10,12)(11,13),
( 2, 7)( 3, 6)( 4, 5)( 8,10)( 9,11)(12,13),( 2, 7)( 3, 6)( 4, 5)( 8,10, 9,11),
( 2, 7)( 3, 6)( 4, 5)( 8,11)( 9,12)(10,13),
( 2, 7)( 3, 6)( 4, 5)( 8,11)( 9,13)(10,12),(2,7)(3,9)(4,8)(5,6),
( 2, 7, 9)( 3,11, 5)( 6,10,12),( 2, 7, 9, 4, 8)( 3,11,10, 5,12),(2,8,7),
(2,8,4,5,6),(2,8)(3,4)(5,9)(6,7),( 2, 8,12, 3, 5)( 4,10, 6, 9,11),
(2,8,6,5,9,3,7),( 2, 8, 4)( 3,11, 5)( 6,12,10),( 2, 9,12)( 3, 4, 7)( 5,11, 6),
(2,9,4)(3,5,7),(2,9,3,5)(4,6,7,8),( 2, 9, 3, 5)( 4, 6, 7, 8)(10,11)(12,13),
( 2, 9, 3, 5)( 4, 6, 7, 8)(10,12)(11,13),
( 2, 9, 3, 5)( 4, 6, 7, 8)(10,13)(11,12),( 2, 9, 7, 6, 3, 5, 4, 8)(12,13),
( 2, 9, 7, 6, 3, 5, 4, 8)(10,13,11,12),( 2,10, 3)( 4, 6, 9)( 5, 8, 7),
( 2,10)(11,12),( 2,10)( 5,11)( 6, 8)( 7,13),( 2,10)( 4, 9)( 6,13)( 7, 8),
( 2,10)( 4, 9)( 5, 6)( 7,11),( 2,10,12)( 3, 4, 6)( 5,13, 8)( 7, 9,11),
( 2,11)(12,13),( 2,11)( 3,10)( 4, 9)( 5, 8)( 6, 7)(12,13),
( 2,13)( 3,12)( 4,11)( 5,10)( 6, 9)( 7, 8),( 1, 2)(12,13),( 1, 2)(11,12),
( 1, 2)(11,13),( 1, 2)(10,11),( 1, 2)(10,11,13,12),( 1, 2)(10,12,11,13),
( 1, 2)(10,13),( 1, 2)( 9,10),( 1, 2)( 9,10,11,12),( 1, 2)( 9,11,10,12),
( 1, 2)( 9,12,10,11),( 1, 2)( 9,13),(1,2)(8,9),( 1, 2)( 8, 9)(10,11)(12,13),
( 1, 2)( 8, 9)(10,12)(11,13),( 1, 2)( 8, 9)(10,13)(11,12),
( 1, 2)( 8,10)( 9,11)(12,13),( 1, 2)( 8,10, 9,11),( 1, 2)( 8,11)( 9,12)(10,13)
,( 1, 2)( 8,11)( 9,13)(10,12),(1,2)(7,8),( 1, 2)( 7, 8)(10,11)(12,13),
( 1, 2)( 7, 8)(10,12)(11,13),( 1, 2)( 7, 8)(10,13)(11,12),
( 1, 2)( 7, 8)( 9,10)(12,13),( 1, 2)( 7, 8)( 9,10)(11,12),
( 1, 2)( 7, 8)( 9,11)(10,12),( 1, 2)( 7, 8)( 9,12)(10,11),
( 1, 2)( 7, 9)( 8,10)(12,13),( 1, 2)( 7, 9, 8,10),( 1, 2)( 7,10, 8, 9),
( 1, 2)( 7,10)( 8, 9)(12,13),( 1, 2)( 7,10)( 8,11)( 9,12),
( 1, 2)( 7,10)( 8,12)( 9,11),(1,2)(6,7),( 1, 2)( 6, 7)(10,11)(12,13),
( 1, 2)( 6, 7)(10,12)(11,13),( 1, 2)( 6, 7)( 9,10)(12,13),
( 1, 2)( 6, 7)( 8, 9)(12,13),( 1, 2)( 6, 7)( 8, 9)(10,12,11,13),
( 1, 2)( 6, 7)( 8,10)( 9,11),( 1, 2)( 6, 7)( 8,11)( 9,12,10,13),(1,2)(6,8),
( 1, 2)( 6, 8)( 7, 9)(12,13),( 1, 2)( 6, 8)( 7, 9)(11,12),(1,2)(6,8,7,9),
( 1, 2)( 6, 9)( 7, 8)(12,13),(1,2)(5,6),( 1, 2)( 5, 6)(10,11)(12,13),
( 1, 2)( 5, 6)(10,12)(11,13),( 1, 2)( 5, 6)( 9,10)(12,13),
( 1, 2)( 5, 6)( 9,10)(11,12),( 1, 2)( 5, 6)( 9,11)(10,12),
( 1, 2)( 5, 6)( 8, 9)(12,13),( 1, 2)( 5, 6)( 8,11)( 9,10),
( 1, 2)( 5, 6)( 7, 8)(11,12),( 1, 2)( 5, 6)( 7, 9)( 8,10),
( 1, 2)( 5, 7)( 6, 8)(12,13),( 1, 2)( 5, 7)( 6, 8)(11,12),
( 1, 2)( 5, 7)( 6, 8)(10,11),( 1, 2)( 5, 7)( 6, 8)(10,11,13,12),
( 1, 2)( 5, 7)( 6, 8)(10,12,11,13),( 1, 2)( 5, 7)( 6, 8)(10,13,11,12),
( 1, 2)( 5, 7)( 6, 8)( 9,10),( 1, 2)( 5, 7)( 6, 8)( 9,11,10,12),
( 1, 2)( 5, 7)( 6, 8)( 9,12,10,11),(1,2)(5,7,6,8),
( 1, 2)( 5, 7, 6, 8)(10,11)(12,13),( 1, 2)( 5, 7, 6, 8)(10,12)(11,13),
( 1, 2)( 5, 7, 6, 8)(10,13)(11,12),( 1, 2)( 5, 7, 6, 8)( 9,10)(12,13),
( 1, 2)( 5, 7, 6, 8)( 9,11)(10,12),(1,2)(5,8),( 1, 2)( 5, 8)( 6, 7)(12,13),
( 1, 2)( 5, 8)( 6, 7)(11,12),( 1, 2)( 5, 8)( 6, 7)(11,13),
( 1, 2)( 5, 8)( 6, 7)( 9,11,10,12),( 1, 2)( 5, 8)( 6, 9)( 7,10),
( 1, 2)( 5, 9)( 6,10)( 7,11, 8,12),( 1, 2)( 5,10),( 1, 2)( 5,10)( 8, 9)(12,13)
,( 1, 2)( 5,10)( 6, 8)( 7, 9),( 1, 2)( 5,10, 8, 6, 9, 7),(1,2)(4,5),
( 1, 2)( 4, 5)( 9,10)(12,13),( 1, 2)( 4, 5)( 8, 9)(12,13),
( 1, 2)( 4, 5)( 7, 8)(12,13),( 1, 2)( 4, 5)( 7, 8)(10,11,13,12),
( 1, 2)( 4, 5)( 7, 8)(10,12,11,13),(1,2)(4,5,7,6),
( 1, 2)( 4, 5, 7, 6)(10,12)(11,13),( 1, 2)( 4, 5, 7, 6)( 8,11)( 9,12,10,13),
( 1, 2)( 4, 6, 9, 7)( 5,13,11, 8)(10,12),( 1, 2)( 4, 7)( 5, 6)(12,13),
( 1, 2)( 4, 7)( 5, 6)(10,11,13,12),( 1, 2)( 4, 7)( 5, 6)(10,12,11,13),
( 1, 2)( 4, 7)( 5, 6)( 8,11)( 9,12)(10,13),
( 1, 2)( 4, 7)( 5, 6)( 8,11)( 9,13)(10,12),( 1, 2)( 4, 9)( 6,12)( 7, 8),
(1,2)(3,4),( 1, 2)( 3, 4)(10,11)(12,13),( 1, 2)( 3, 4)(10,12)(11,13),
( 1, 2)( 3, 4)(10,13)(11,12),( 1, 2)( 3, 4)( 9,10)(12,13),
( 1, 2)( 3, 4)( 9,10)(11,12),( 1, 2)( 3, 4)( 9,11)(10,12),
( 1, 2)( 3, 4)( 8, 9)(12,13),( 1, 2)( 3, 4)( 8, 9)(10,12,11,13),
( 1, 2)( 3, 4)( 7, 8)(12,13),( 1, 2)( 3, 4)( 7, 8)(11,12),
( 1, 2)( 3, 4)( 7, 8)(10,11),( 1, 2)( 3, 4)( 7, 8)(10,11,13,12),
( 1, 2)( 3, 4)( 7, 8)(10,12,11,13),( 1, 2)( 3, 4)( 7, 8)( 9,10),
( 1, 2)( 3, 4)( 7, 8)( 9,11,10,12),( 1, 2)( 3, 4)( 7, 9)( 8,10),
( 1, 2)( 3, 4)( 7, 9, 8,10)(12,13),( 1, 2)( 3, 4)( 6, 7)(12,13),
( 1, 2)( 3, 4)( 6, 7)(10,11),( 1, 2)( 3, 4)( 6, 7)(10,12,11,13),
( 1, 2)( 3, 4)( 6, 7)( 9,10),( 1, 2)( 3, 4)( 6, 7)( 9,11,10,12),
( 1, 2)( 3, 4)( 6, 7)( 8,11)( 9,12)(10,13),(1,2)(3,4)(6,9)(7,8),
( 1, 2)( 3, 4)( 5, 6)(12,13),( 1, 2)( 3, 4)( 5, 6)(11,12),
( 1, 2)( 3, 4)( 5, 6)(11,13),( 1, 2)( 3, 4)( 5, 6)(10,11),
( 1, 2)( 3, 4)( 5, 6)(10,11,13,12),( 1, 2)( 3, 4)( 5, 6)(10,12,11,13),
( 1, 2)( 3, 4)( 5, 6)( 9,10),( 1, 2)( 3, 4)( 5, 6)( 9,11,10,12),
( 1, 2)( 3, 4)( 5, 6)( 9,12,10,11),(1,2)(3,4)(5,6)(8,9),
( 1, 2)( 3, 4)( 5, 6)( 8, 9)(10,11)(12,13),
( 1, 2)( 3, 4)( 5, 6)( 8, 9)(10,12)(11,13),( 1, 2)( 3, 4)( 5, 6)( 8, 9,11,10),
( 1, 2)( 3, 4)( 5, 6)( 8,11)( 9,10)(12,13),(1,2)(3,4)(5,6)(7,8),
( 1, 2)( 3, 4)( 5, 6)( 7, 8)(10,13)(11,12),
( 1, 2)( 3, 4)( 5, 6)( 7, 8)( 9,10)(12,13),
( 1, 2)( 3, 4)( 5, 6)( 7, 8)( 9,10)(11,12),
( 1, 2)( 3, 4)( 5, 6)( 7, 8)( 9,11)(10,12),
( 1, 2)( 3, 4)( 5, 6)( 7, 8)( 9,12)(10,11),
( 1, 2)( 3, 4)( 5, 6)( 7, 9)( 8,10)(12,13),( 1, 2)( 3, 4)( 5, 6)( 7, 9, 8,10),
( 1, 2)( 3, 4)( 5, 6)( 7,10)( 8,11)( 9,12),
( 1, 2)( 3, 4)( 5, 6)( 7,10)( 8,12)( 9,11),(1,2)(3,4)(5,7)(6,8),
( 1, 2)( 3, 4)( 5, 7)( 6, 8)(10,13)(11,12),
( 1, 2)( 3, 4)( 5, 7)( 6, 8)( 9,11)(10,12),( 1, 2)( 3, 4)( 5, 7, 6, 8)(12,13),
( 1, 2)( 3, 4)( 5, 7, 6, 8)( 9,11,10,12),
( 1, 2)( 3, 4)( 5, 8, 9,11)( 6, 7,10,12),
( 1, 2)( 3, 4)( 5, 9)( 6,10)( 7,11)( 8,12),
( 1, 2)( 3, 4)( 5, 9, 6,10)( 7,11, 8,12),
( 1, 2)( 3, 4)( 5, 9)( 6,10)( 7,12)( 8,11),
( 1, 2)( 3, 4)( 5, 9, 6,10)( 7,12, 8,11),( 1, 2)( 3, 4)( 5,10)(12,13),
( 1, 2)( 3, 4)( 5,10)( 8, 9),( 1, 2)( 3, 4)( 5,10)( 7, 8),
( 1, 2)( 3, 4)( 5,10)( 7, 9),( 1, 2)( 3, 4)( 5,10)( 6, 7)( 8, 9)(12,13),
( 1, 2)( 3, 4)( 5,10)( 6, 8)( 7, 9)(12,13),( 1, 2)( 3, 4)( 5,10)( 6, 8, 7, 9),
( 1, 2)( 3, 4)( 5,10)( 6, 9)( 7,12)( 8,11),(1,2)(3,5,7,6),
( 1, 2)( 3, 5)( 4, 6)(12,13),( 1, 2)( 3, 5)( 4, 6)(11,12),
( 1, 2)( 3, 5)( 4, 6)(10,12,11,13),( 1, 2)( 3, 5)( 4, 6)( 7, 8)( 9,12)(10,11),
( 1, 2)( 3, 5)( 4, 6)( 7, 9)( 8,10)(12,13),(1,2)(3,5,4,6),
( 1, 2)( 3, 5, 4, 6)(10,12)(11,13),(1,2)(3,5)(4,7)(8,9),
( 1, 2)( 3, 5)( 4,10)( 8, 9),(1,2)(3,6),( 1, 2)( 3, 6)( 4, 5)( 7,10),
(1,2)(3,6)(4,7)(5,8),( 1, 2)( 3, 6)( 4, 7)( 5, 8)(10,12)(11,13),
( 1, 2)( 3, 6)( 4, 7)( 5, 8)(10,13)(11,12),( 1, 2)( 3, 6)( 4, 7, 5, 8)(12,13),
(1,2)(3,6)(4,8)(5,7),( 1, 2)( 3, 6)( 4, 8)( 5, 9)( 7,10)(12,13),
( 1, 2)( 3, 6, 5,12)( 4, 9, 8, 7)(10,11),
( 1, 2)( 3, 7)( 4, 8)( 5, 9)( 6,10)(12,13),( 1, 2)( 3, 7, 5, 9, 4, 8, 6,10),
( 1, 2)( 3, 7)( 4, 8)( 5,10)( 6, 9)(12,13),( 1, 2)( 3, 9, 6, 4,10, 5),
( 1, 2)( 3,10)( 6, 7)(11,12),( 1, 2)( 3,10)( 4, 7)( 5, 6)( 8,11)( 9,12),
(1,2,3),( 1, 2, 3)(11,12,13),( 1, 2, 3)(10,11,12),
( 1, 2, 3)( 8,10,12)( 9,11,13),(1,2,3)(7,8,9),( 1, 2, 3)( 7, 8, 9)(11,13,12),
( 1, 2, 3)( 7, 8, 9)(10,11,12),( 1, 2, 3)( 7, 8, 9)(10,12,11),(1,2,3)(7,9,8),
( 1, 2, 3)( 7, 9, 8)(11,12,13),( 1, 2, 3)( 7, 9, 8)(10,11,12),
( 1, 2, 3)( 7, 9, 8)(10,12,11),(1,2,3)(6,8,9),(1,2,3)(5,6,7),
( 1, 2, 3)( 5, 6, 7)(11,12,13),( 1, 2, 3)( 5, 6, 7)( 8,10,12)( 9,11,13),
(1,2,3)(5,7,6),(1,2,3)(4,5,6),( 1, 2, 3)( 4, 5, 6)(11,12,13),
( 1, 2, 3)( 4, 5, 6)(10,11,12),( 1, 2, 3)( 4, 5, 6)(10,12,11),
( 1, 2, 3)( 4, 5, 6)( 9,10,11),(1,2,3)(4,5,6)(7,8,9),
( 1, 2, 3)( 4, 5, 6)( 7, 8, 9)(11,12,13),
( 1, 2, 3)( 4, 5, 6)( 7, 8, 9)(10,11,12),
( 1, 2, 3)( 4, 5, 6)( 7, 8, 9)(10,12,11),
( 1, 2, 3)( 4, 5, 6)( 7, 8,10)( 9,11,12),
( 1, 2, 3)( 4, 5, 6)( 7, 8,10)( 9,12,11),(1,2,3)(4,5,6)(7,9,8),
( 1, 2, 3)( 4, 5, 6)( 7, 9,11)( 8,10,12),
( 1, 2, 3)( 4, 5, 6)( 7,11, 9)( 8,12,10),( 1, 2, 3)( 4, 5,10),
( 1, 2, 3)( 4, 5,10)(11,12,13),( 1, 2, 3)( 4, 5,10)( 7, 8, 9),
( 1, 2, 3)( 4, 6, 5)(11,12,13),(1,2,3)(4,6,8)(5,7,9),
( 1, 2, 3)( 4, 6, 9)( 5, 8,12)( 7,10,11),
( 1, 2, 3)( 4, 7,10)( 5, 8,11)( 6, 9,12),
( 1, 2, 3)( 4, 7,10, 5, 8,12, 6, 9,11),(1,2,3,4)(5,6),(1,2,3,4,5),
( 1, 2, 3, 4, 5)( 6, 7, 8, 9,10),(1,2,3,4,5,6,7),
( 1, 2, 3, 4, 5, 6, 7, 8, 9,10,11),( 1, 2, 3, 4, 5, 6, 7, 8, 9,10,11,12,13),
( 1, 2, 3, 4, 7, 9,10, 8, 6,11, 5),(1,2,3,5,6),
( 1, 2, 3, 5, 7)( 4, 8, 6,10, 9),( 1, 2, 3,11)( 4, 8, 9, 6),(1,2,4,5,3),
(1,2,4,7,3),(1,2,4),(1,2,4,3,5),( 1, 2, 4, 7, 6, 3, 5)( 9,10,11,12,13),
(1,2,5)(4,8)(6,7),( 1, 2, 5, 8, 3, 4, 6,10)(11,12),
( 1, 2, 5, 4)( 3, 7, 6, 8)(10,12,11),( 1, 2, 5, 4, 8)( 3,10, 6),(1,2,6,3)(5,7)
,( 1, 2, 6, 5, 4)( 9,12)(10,13),(1,2,6,7)(3,4,8,5),(1,2,7),(1,2,7,5,3,4,6),
( 1, 2, 7)( 3, 4, 6)( 8,13,11,12, 9),(1,2,8,7,5,4,3),(1,2,8,3,5),
( 1, 2, 8, 7, 9)( 3,10,11, 6,12),( 1, 2, 9)( 3, 5,10)( 4, 6, 7),
( 1, 2, 9,10, 5,11, 4, 3, 6,12, 7,13, 8),( 1, 2,10)( 5, 6,13)( 7, 8,11),
( 1, 2,10)( 3, 5, 7)( 4,13, 8)( 6,11, 9),( 1, 2,11),( 1, 2,12),( 1, 2,13),
(1,3,2),( 1, 3, 2)(11,13,12),(1,3,2)(7,8,9),( 1, 3, 2)( 7, 8, 9)(11,13,12),
( 1, 3, 2)( 7, 8, 9)(10,12,11),(1,3,2)(7,9,8),( 1, 3, 2)( 7, 9, 8)(11,12,13),
( 1, 3, 2)( 5, 9, 8)( 7,10,12),(1,3,2)(4,5,6),(1,3,2)(4,5,6)(7,8,9),
(1,3,2)(4,6,5)(7,9,8),(1,3,2)(4,6,8)(5,7,9),(1,3,4,5,6,8,2),(1,3,5,7,8,4,2),
( 1, 3)(12,13),( 1, 3)(11,12),( 1, 3)(10,11),(1,3)(8,9),(1,3)(7,8),
( 1, 3)( 6, 7)( 9,11,10),(1,3)(5,6),( 1, 3)( 5, 8)( 6,11)( 7,12),(1,3)(4,5),
( 1, 3)( 4, 7, 6, 9)( 5,11)( 8,12,13,10),(1,3)(4,8)(5,7)(6,9),(1,3,4),
(1,3,4)(5,7,6),(1,3,5),(1,3,5)(7,9,8),(1,3,6),(1,3,7),(1,3,7,4,6),(1,3)(2,4),
( 1, 3)( 2, 4)(10,11)(12,13),( 1, 3)( 2, 4)(10,12)(11,13),
( 1, 3)( 2, 4)(10,13)(11,12),( 1, 3)( 2, 4)( 9,10)(12,13),
( 1, 3)( 2, 4)( 9,10)(11,12),( 1, 3)( 2, 4)( 9,11)(10,12),
( 1, 3)( 2, 4)( 8, 9)(12,13),( 1, 3)( 2, 4)( 8, 9)(10,12,11,13),
( 1, 3)( 2, 4)( 8,10)( 9,11),( 1, 3)( 2, 4)( 8,11)( 9,12,10,13),
( 1, 3)( 2, 4)( 7, 8)(12,13),( 1, 3)( 2, 4)( 7, 8)(11,12),
( 1, 3)( 2, 4)( 7, 8)(10,11),( 1, 3)( 2, 4)( 7, 8)(10,11,13,12),
( 1, 3)( 2, 4)( 7, 8)(10,12,11,13),( 1, 3)( 2, 4)( 7, 8)( 9,10),
( 1, 3)( 2, 4)( 7, 8)( 9,11,10,12),( 1, 3)( 2, 4)( 7, 8)( 9,12,10,11),
( 1, 3)( 2, 4)( 7, 9)( 8,10),( 1, 3)( 2, 4)( 7, 9, 8,10)(12,13),
( 1, 3)( 2, 4)( 6, 7)(12,13),( 1, 3)( 2, 4)( 6, 7)(11,12),
( 1, 3)( 2, 4)( 6, 7)(10,11),( 1, 3)( 2, 4)( 6, 7)(10,11,12,13),
( 1, 3)( 2, 4)( 6, 7)(10,11,13,12),( 1, 3)( 2, 4)( 6, 7)(10,12,11,13),
( 1, 3)( 2, 4)( 6, 7)( 9,10),( 1, 3)( 2, 4)( 6, 7)( 9,11,10,12),
(1,3)(2,4)(6,7)(8,9),( 1, 3)( 2, 4)( 6, 7)( 8, 9)(10,11)(12,13),
( 1, 3)( 2, 4)( 6, 7)( 8, 9)(10,12)(11,13),
( 1, 3)( 2, 4)( 6, 7)( 8,10)( 9,11)(12,13),
( 1, 3)( 2, 4)( 6, 7)( 8,11)( 9,12)(10,13),
( 1, 3)( 2, 4)( 6, 7)( 8,11)( 9,13)(10,12),( 1, 3)( 2, 4)( 6, 8)( 9,10),
(1,3)(2,4)(6,8)(7,9),( 1, 3)( 2, 4)( 6, 8, 7, 9)(12,13),
( 1, 3)( 2, 4)( 5, 6)( 7, 8)( 9,10)(12,13),
( 1, 3)( 2, 4)( 5, 6)( 7, 8)( 9,10)(11,12),
( 1, 3)( 2, 4)( 5, 6)( 7, 8)( 9,12)(10,11),(1,3)(2,4)(5,7)(6,8),
( 1, 3)( 2, 4)( 5, 7)( 6, 8)(10,11)(12,13),
( 1, 3)( 2, 4)( 5, 7)( 6, 8)(10,12)(11,13),
( 1, 3)( 2, 4)( 5, 7)( 6, 8)(10,13)(11,12),
( 1, 3)( 2, 4)( 5, 7)( 6, 8)( 9,10)(12,13),
( 1, 3)( 2, 4)( 5, 7)( 6, 8)( 9,10)(11,12),
( 1, 3)( 2, 4)( 5, 7)( 6, 8)( 9,11)(10,12),
( 1, 3)( 2, 4)( 5, 7)( 6, 8)( 9,12)(10,11),( 1, 3)( 2, 4)( 5, 7, 6, 8)(12,13),
( 1, 3)( 2, 4)( 5, 7, 6, 8)(11,12),( 1, 3)( 2, 4)( 5, 7, 6, 8)(10,11),
( 1, 3)( 2, 4)( 5, 7, 6, 8)(10,11,13,12),( 1, 3)( 2, 4)( 5, 7, 6, 8)( 9,10),
( 1, 3)( 2, 4)( 5, 7, 6, 8)( 9,11,10,12),
( 1, 3)( 2, 4)( 5, 7, 6, 8)( 9,12,10,11),
( 1, 3)( 2, 4)( 5, 8, 6, 7)( 9,11,10,12),(1,3)(2,4)(5,8)(6,7),
( 1, 3)( 2, 4)( 5, 8)( 6, 9)( 7,10)(12,13),
( 1, 3)( 2, 4)( 5, 9)( 6,10)( 7,11)( 8,12),
( 1, 3)( 2, 4)( 5, 9, 6,10)( 7,11, 8,12),
( 1, 3)( 2, 4)( 5, 9, 7,11)( 6,10, 8,12),
( 1, 3)( 2, 4)( 5, 9)( 6,10)( 7,12)( 8,11),
( 1, 3)( 2, 4)( 5, 9, 6,10)( 7,12, 8,11),
( 1, 3)( 2, 4)( 5,11)( 6,12)( 7, 9)( 8,10),
( 1, 3)( 2, 4)( 5,11, 6,12)( 7,10, 8, 9),
( 1, 3)( 2, 4,10, 9)( 5,11, 6, 7)( 8,13),
( 1, 3)( 2, 4,10, 9)( 5,11)( 6, 8,13, 7),( 1, 3, 2, 4)(12,13),
( 1, 3, 2, 4)(11,12),( 1, 3, 2, 4)(11,13),( 1, 3, 2, 4)(10,11),
( 1, 3, 2, 4)(10,11,12,13),( 1, 3, 2, 4)(10,11,13,12),
( 1, 3, 2, 4)(10,12,11,13),( 1, 3, 2, 4)( 9,10),( 1, 3, 2, 4)( 9,11,10,12),
(1,3,2,4)(8,9),( 1, 3, 2, 4)( 8, 9)(10,11)(12,13),
( 1, 3, 2, 4)( 8, 9)(10,12)(11,13),( 1, 3, 2, 4)( 8,11)( 9,12)(10,13),
( 1, 3, 2, 4)( 8,11)( 9,13)(10,12),(1,3,2,4)(7,8),
( 1, 3, 2, 4)( 7, 8)(10,13)(11,12),( 1, 3, 2, 4)( 7, 8)( 9,10)(12,13),
( 1, 3, 2, 4)( 7, 8)( 9,11)(10,12),( 1, 3, 2, 4)( 7, 9)( 8,10)(12,13),
( 1, 3, 2, 4)( 7, 9, 8,10),(1,3,2,4)(6,7),( 1, 3, 2, 4)( 6, 7)(10,12)(11,13),
( 1, 3, 2, 4)( 6, 7)( 8, 9)(12,13),( 1, 3, 2, 4)( 6, 7)( 8,11)( 9,12,10,13),
( 1, 3, 2, 4)( 6, 7, 9, 8)(10,11)(12,13),
( 1, 3, 2, 4)( 6, 7, 9, 8)(10,12)(11,13),( 1, 3, 2, 4)( 5, 7)( 6, 8)(12,13),
(1,3,2,4)(5,7,6,8),( 1, 3, 2, 4)( 5, 7, 6, 8)(10,11)(12,13),
( 1, 3, 2, 4)( 5, 7, 6, 8)(10,13)(11,12),
( 1, 3, 2, 4)( 5, 7, 6, 8)( 9,10)(12,13),
( 1, 3, 2, 4)( 5, 8)( 6, 9, 7,10)(12,13),
( 1, 3, 2, 4)( 5, 9)( 6,10)( 7,11, 8,12),
( 1, 3, 2, 4)( 5, 9, 7,11, 6,10, 8,12),(1,3,5)(2,4,6),
( 1, 3, 5)( 2, 4, 6)(11,12,13),( 1, 3, 5)( 2, 4, 6)(11,13,12),
( 1, 3, 5)( 2, 4, 6)(10,11,12),(1,3,5)(2,4,6)(7,8,9),
( 1, 3, 5)( 2, 4, 6)( 7, 8, 9)(10,12,11),
( 1, 3, 5)( 2, 4, 6)( 7, 9,11)( 8,10,12),(1,3,5,2,4,6,7),
( 1, 3, 5, 7, 9)( 2, 4, 6, 8,10),( 1, 3, 5, 8, 9)( 2, 4, 6, 7,10),
( 1, 3, 5)( 2, 4,10),( 1, 3, 5)( 2, 4,10)(11,12,13),
( 1, 3, 5)( 2, 4,10)( 7, 8, 9),( 1, 3, 5)( 2, 4,10)( 7, 8, 9)(11,12,13),
(1,3,6)(2,4,5),( 1, 3, 6)( 2, 4, 5)(10,12,13),( 1, 3, 6, 8, 9)( 2, 4, 5, 7,10)
,( 1, 3, 6)( 2, 4, 7)( 5, 8,10)( 9,11,12),( 1, 3, 8, 9,10)( 2, 4, 6, 7, 5),
(1,3,9,8)(2,4,7,6),( 1, 3, 9)( 2, 4,10),( 1, 3,10)( 2, 4, 5),
( 1, 3)( 2, 5)( 6, 7)( 9,10),( 1, 3)( 2, 5)( 6, 8)( 7,10),
( 1, 3, 2, 5, 4)( 9,12,10,11,13),(1,3,4)(2,5,6),( 1, 3, 4)( 2, 5, 6)( 7, 9,10)
,( 1, 3, 4)( 2, 5, 6)( 7,11,12)( 8, 9,10),( 1, 3, 4)( 2, 5,10),(1,3,4,2,5),
(1,3,7,2,5,6,4),( 1, 3, 8,11, 7,10, 4, 6)( 2, 5, 9,12),(1,3)(2,6),
(1,3)(2,6)(4,5)(7,8),(1,3,2,6,4),(1,3,2,6,5),
( 1, 3, 2, 6, 4, 5, 7,10)( 8,11, 9,12),
( 1, 3, 4,11)( 2, 6)( 5, 8)( 7,10, 9,12),
( 1, 3)( 2, 7, 5, 4)( 6,12, 9, 8)(10,11),(1,3,6)(2,8,7),( 1, 3)( 2,10),
( 1, 3, 2,10)( 4, 9, 8, 5),( 1, 3, 5, 8,12,11)( 2,10, 4, 6, 7, 9),
( 1, 3, 7)( 2,10, 6)( 4, 5, 8),( 1, 4, 2)( 8,10, 9),(1,4,2)(3,5,6),
( 1, 4, 2)( 3, 5,10),(1,4,3,5,2),(1,4,2)(3,8,5),(1,4,3)(7,8,9),(1,4,3)(7,9,8),
(1,4,6,5,3),(1,4,7,3)(5,8),( 1, 4)(12,13),( 1, 4, 6)( 8, 9,10),(1,4,7),
( 1, 4)( 3, 5)( 6, 9)( 7,10),(1,4)(3,5,7,6),( 1, 4, 8)( 3, 5,11)( 6,10,12),
( 1, 4, 8, 9, 7)( 3, 6,10,11,12),( 1, 4, 3, 7, 5)(11,12,13),
( 1, 4, 2, 3)( 5, 7, 6, 8)( 9,11)(10,12),(1,4)(2,3),
( 1, 4)( 2, 3)( 9,11)(10,12),( 1, 4)( 2, 3)( 7, 8)( 9,10),
( 1, 4)( 2, 3)( 6, 7)( 9,10),(1,4)(2,3)(5,7)(6,8),(1,4)(2,3)(5,8)(6,7),
( 1, 4)( 2, 3)( 5, 8)( 6, 7)(10,11)(12,13),
( 1, 4)( 2, 3)( 5, 8)( 6, 7)(10,12)(11,13),(1,4,6)(2,3,5),( 1, 4,10)( 2, 3, 5)
,( 1, 4,10)( 2, 3, 5)(11,12,13),(1,4,5)(2,3,6),
( 1, 4, 7)( 2, 3, 6)( 5, 8,10)( 9,11,12),(1,4,7,5)(2,3,8,6),
( 1, 4, 5)( 2, 3,10),(1,4)(2,5),( 1, 4)( 2, 5)( 7, 8)( 9,10),
( 1, 4)( 2, 5)( 7,10)(11,12),( 1, 4)( 2, 5)( 3, 6)(12,13),
( 1, 4)( 2, 5)( 3, 6)(11,12),( 1, 4)( 2, 5)( 3, 6)(11,13),
( 1, 4)( 2, 5)( 3, 6)(10,11),( 1, 4)( 2, 5)( 3, 6)(10,11,12,13),
( 1, 4)( 2, 5)( 3, 6)(10,11,13,12),( 1, 4)( 2, 5)( 3, 6)(10,12),
( 1, 4)( 2, 5)( 3, 6)(10,12,11,13),( 1, 4)( 2, 5)( 3, 6)( 9,10),
( 1, 4)( 2, 5)( 3, 6)( 9,12,11,10),(1,4)(2,5)(3,6)(8,9),
( 1, 4)( 2, 5)( 3, 6)( 8, 9)(11,13,12),( 1, 4)( 2, 5)( 3, 6)( 8, 9)(10,12,13),
( 1, 4)( 2, 5)( 3, 6)( 8, 9)(10,12)(11,13),
( 1, 4)( 2, 5)( 3, 6)( 8, 9)(10,13)(11,12),
( 1, 4)( 2, 5)( 3, 6)( 8,10)( 9,11)(12,13),
( 1, 4)( 2, 5)( 3, 6)( 8,11)( 9,10)(12,13),(1,4)(2,5)(3,6)(7,8),
( 1, 4)( 2, 5)( 3, 6)( 7,10)( 8,11)( 9,12),
( 1, 4)( 2, 5)( 3, 6)( 7,10)( 8,12)( 9,11),(1,4)(2,5,3,6),
( 1, 4)( 2, 5, 3, 6)(10,12)(11,13),( 1, 4)( 2, 5, 3, 6)( 7,10)( 8,11, 9,12),
( 1, 4)( 2, 5, 3, 6)( 7,10)( 8,12, 9,11),(1,4,7)(2,5,8)(3,6,9),
( 1, 4, 7)( 2, 5, 8)( 3, 6, 9)(11,12,13),
( 1, 4, 7)( 2, 5, 8)( 3, 6, 9)(10,11,12),(1,4,7,2,5,8,3,6,9),
( 1, 4, 7, 2, 5, 8, 3, 6, 9)(11,12,13),(1,4,7,3,6,9,2,5,8),
(1,4,7)(2,5,9)(3,6,8),( 1, 4, 7)( 2, 5, 9)( 3, 6, 8)(10,11,12),
(1,4,7,2,5,9,3,6,8),(1,4,7,3,6,8,2,5,9),( 1, 4, 7, 3, 6, 8, 2, 5, 9)(11,12,13)
,(1,4,9)(2,5,7)(3,6,8),( 1, 4)( 2, 5)( 3,10)(12,13),
( 1, 4)( 2, 5)( 3,10)(11,12),( 1, 4)( 2, 5)( 3,10)( 8, 9),
( 1, 4)( 2, 5)( 3,10)( 7, 8),( 1, 4)( 2, 5)( 3,10)( 6, 8)( 7, 9)(12,13),
( 1, 4)( 2, 5)( 3,10)( 6, 8, 7, 9),( 1, 4)( 2, 5, 3,10),
( 1, 4)( 2, 5, 3,10)( 8, 9)(12,13),( 1, 4)( 2, 5, 3,10)( 6, 8)( 7, 9),
( 1, 4, 2, 5)( 3,10, 6, 7),( 1, 4, 3, 2, 6)( 8, 9)(10,13),
( 1, 4)( 2, 6, 3, 5)( 8, 9)(10,11,12,13),( 1, 4)( 2, 6, 3, 5)( 8, 9)(10,12),
( 1, 4)( 2, 6)( 3, 5)(12,13),( 1, 4)( 2, 6)( 3, 5)(11,12),
( 1, 4)( 2, 6)( 3, 5)(10,11,13,12),( 1, 4)( 2, 6)( 3, 5)(10,12,11,13),
( 1, 4)( 2, 6)( 3, 5)( 9,12,10,11),(1,4)(2,6)(3,5)(8,9),
( 1, 4)( 2, 6)( 3, 5)( 8, 9)(11,13,12),
( 1, 4)( 2, 6)( 3, 5)( 8, 9)(10,11)(12,13),
( 1, 4)( 2, 6)( 3, 5)( 8, 9)(10,12,13),
( 1, 4)( 2, 6)( 3, 5)( 8, 9)(10,12)(11,13),
( 1, 4)( 2, 6)( 3, 5)( 8, 9)(10,13)(11,12),
( 1, 4)( 2, 6)( 3, 5)( 7,10)( 8,11)( 9,12),
( 1, 4)( 2, 6)( 3, 5)( 7,10)( 8,12)( 9,11),
( 1, 4, 7)( 2, 6, 9)( 3, 5, 8)(10,11,12),(1,4,7,2,6,8,3,5,9),
( 1, 4, 7, 2, 6, 8, 3, 5, 9)(10,11,12),
( 1, 4)( 2, 6)( 3, 9)( 5, 7)( 8,10)(11,12),
( 1, 4, 7,10)( 2, 6, 5, 8)( 3, 9)(12,13),(1,4)(2,7,8,3),(1,4,6)(2,7,3),
(1,4,5)(2,7,6),(1,4,5,3)(2,8),( 1, 4)( 2,10)( 3, 5)(12,13),
( 1, 4)( 2,10)( 3, 5)( 8, 9),( 1, 4)( 2,10)( 3, 5)( 6, 7)( 8, 9)(12,13),
( 1, 4)( 2,10)( 3, 5)( 6, 8)( 7, 9)(12,13),( 1, 4)( 2,10)( 3, 5)( 6, 8, 7, 9),
( 1, 4, 9, 2,10, 5, 8,12)( 3, 7,11, 6),
( 1, 4)( 2,10)( 3,11)( 5, 7)( 6,12)( 8, 9),(1,5,4,3,2),(1,5,8,3,2),
(1,5,2)(3,4)(6,7),(1,5,2)(3,6,7),(1,5,3,6,2),(1,5,2)(3,7,9)(4,6,8),
(1,5,8,2)(3,7,4,6),(1,5,3),(1,5,3)(6,7,9),(1,5,3)(4,6,7),(1,5,4)(6,8,9),
(1,5,7,8,4),( 1, 5)(12,13),(1,5,7),(1,5)(4,6),( 1, 5)( 4,10),
( 1, 5)( 3, 4)( 6, 7)( 9,10),(1,5,3,4,6),(1,5,3,4,7),(1,5,8)(3,4,7),
( 1, 5)( 3,10),( 1, 5)( 3,11)( 4, 8, 6,13)( 7,10, 9,12),
( 1, 5)( 2, 3)( 7, 8)( 9,10),(1,5)(2,3)(6,7)(8,9),(1,5)(2,3)(6,8)(7,9),
( 1, 5, 9,12)( 2, 3, 8,11, 7,10, 4, 6),(1,5,3)(2,4,7),(1,5,3,2,4),
( 1, 5, 6, 2, 4)(10,13,12),( 1, 5)( 2, 4)( 6, 7)( 9,10),
( 1, 5, 2, 4)( 3, 6)( 7, 8)(10,12),( 1, 5, 3, 6, 2, 4)( 7, 8)(11,13,12),
( 1, 5, 3, 6, 2, 4)( 7, 8)(10,12,13),(1,5,8)(2,4,7)(3,6,9),
(1,5,8)(2,4,9)(3,6,7),(1,5)(2,4)(3,8)(6,7),(1,5,4)(2,6,3),(1,5)(2,6),
( 1, 5, 2, 6, 3, 4)( 7, 9, 8)(10,12),(1,5,9)(2,6,7)(3,4,8),
(1,5)(2,6)(3,7)(4,8),( 1, 5)( 2, 6)( 3, 7)( 4, 8)(10,11)(12,13),
( 1, 5)( 2, 6)( 3, 7)( 4, 8)(10,12)(11,13),
( 1, 5)( 2, 6)( 3, 7)( 4, 8)(10,13)(11,12),
( 1, 5)( 2, 6)( 3, 7)( 4, 8)( 9,10)(12,13),
( 1, 5)( 2, 6)( 3, 7)( 4, 8)( 9,10)(11,12),
( 1, 5)( 2, 6)( 3, 7)( 4, 8)( 9,11)(10,12),
( 1, 5)( 2, 6)( 3, 7)( 4, 8)( 9,12)(10,11),( 1, 5)( 2, 6)( 3, 7, 4, 8)(12,13),
( 1, 5)( 2, 6)( 3, 7, 4, 8)(10,11),( 1, 5)( 2, 6)( 3, 7, 4, 8)(10,11,12,13),
( 1, 5)( 2, 6)( 3, 7, 4, 8)(10,11,13,12),
( 1, 5)( 2, 6)( 3, 7, 4, 8)(10,12,11,13),( 1, 5)( 2, 6)( 3, 7, 4, 8)( 9,10),
( 1, 5, 2, 6)( 3, 7)( 4, 8)(11,12),( 1, 5, 2, 6)( 3, 7)( 4, 8)(10,11),
(1,5,2,6)(3,7,4,8),( 1, 5, 2, 6)( 3, 7, 4, 8)(10,12)(11,13),
( 1, 5, 2, 6)( 3, 7, 4, 8)(10,13)(11,12),
( 1, 5, 2, 6)( 3, 7, 4, 8)( 9,10)(12,13),
( 1, 5, 2, 6)( 3, 7, 4, 8)( 9,11)(10,13),(1,5,3,7)(2,6,4,8),
( 1, 5, 3, 7)( 2, 6, 4, 8)(10,11)(12,13),
( 1, 5, 3, 7)( 2, 6, 4, 8)(10,12)(11,13),
( 1, 5, 3, 7)( 2, 6, 4, 8)(10,13)(11,12),
( 1, 5, 3, 7)( 2, 6, 4, 8)( 9,10)(12,13),
( 1, 5, 3, 7)( 2, 6, 4, 8)( 9,11)(10,12),( 1, 5, 3, 7, 2, 6, 4, 8)(12,13),
( 1, 5, 3, 7, 2, 6, 4, 8)(11,12),( 1, 5, 3, 7, 2, 6, 4, 8)(10,11),
( 1, 5, 3, 7, 2, 6, 4, 8)(10,11,13,12),( 1, 5, 3, 7, 2, 6, 4, 8)(10,12,11,13),
( 1, 5, 3, 7, 2, 6, 4, 8)( 9,10),( 1, 5, 3, 7, 2, 6, 4, 8)( 9,10,11,12),
( 1, 5, 3, 7, 2, 6, 4, 8)( 9,11,10,12),( 1, 5, 3, 7, 2, 6, 4, 8)( 9,12,10,11),
( 1, 5, 4, 8, 2, 6, 3, 7)(11,12),( 1, 5, 9, 3, 7)( 2, 6,10, 4, 8),
( 1, 5, 9)( 2, 6,10)( 3, 7,11)( 4, 8,12),
( 1, 5, 9)( 2, 6,10, 3, 7,11, 4, 8,12),
( 1, 5, 9)( 2, 6,10)( 3, 7,12)( 4, 8,11),
( 1, 5, 9)( 2, 6,10, 3, 7,12, 4, 8,11),(1,5)(2,6)(3,8,7),(1,5)(2,6)(3,8)(4,7),
( 1, 5)( 2, 6)( 3, 8)( 4, 7)(10,11)(12,13),
( 1, 5)( 2, 6)( 3, 8)( 4, 7)(10,12)(11,13),
( 1, 5)( 2, 6)( 3, 8)( 4, 7)(10,13)(11,12),
( 1, 5)( 2, 6)( 3, 8)( 4, 7)( 9,10)(12,13),
( 1, 5)( 2, 6)( 3, 8)( 4, 7)( 9,10)(11,12),
( 1, 5)( 2, 6)( 3, 8)( 4, 7)( 9,11)(10,12),(1,5,2,6)(3,8,4,7),
( 1, 5, 2, 6)( 3, 8, 4, 7)(10,12)(11,13),
( 1, 5, 2, 6)( 3, 8, 4, 7)(10,13)(11,12),
( 1, 5, 2, 6)( 3, 8, 4, 7)( 9,10)(12,13),
( 1, 5, 2, 6)( 3, 8, 4, 7)( 9,10)(11,12),
( 1, 5, 3, 8, 2, 6, 4, 7)(10,11,13,12),( 1, 5, 3, 8, 2, 6, 4, 7)(10,12,11,13),
( 1, 5, 9)( 2, 6,10)( 3, 8,12)( 4, 7,11),
( 1, 5, 9)( 2, 6,10)( 3, 8,11)( 4, 7,12),
( 1, 5, 7)( 2, 6, 8)( 3, 9,11)( 4,10,12),(1,5)(2,7,8)(3,4),(1,5)(2,7,3,6),
( 1, 5, 9)( 2, 7,12)( 3, 8,10)( 4, 6,11),(1,5)(2,8)(3,6)(4,7),
( 1, 5)( 2, 8)( 3, 6)( 4, 7)(10,11)(12,13),
( 1, 5)( 2, 8)( 3, 6)( 4, 7)(10,12)(11,13),
( 1, 5)( 2, 8)( 3, 6)( 4, 7)(10,13)(11,12),
( 1, 5)( 2, 8)( 3, 6)( 4, 7)( 9,11)(10,12),(1,5,2,8)(3,6,4,7),
( 1, 5, 2, 8)( 3, 6, 4, 7)( 9,10)(12,13),
( 1, 5, 2, 8)( 3, 6, 4, 7)( 9,10)(11,12),
( 1, 5, 2, 8)( 3, 6, 4, 7)( 9,11)(10,12),( 1, 5, 4)( 2,10, 3),( 1, 5)( 2,10),
( 1, 5)( 2,13,10, 6)( 3, 8, 4,11)( 7, 9),
( 1, 6, 5, 7, 4, 3, 2)( 8, 9,13,12,10),(1,6,5,3,2),(1,6,5,7,3),( 1, 6)(12,13),
(1,6,7),(1,6,5)(4,7,8),(1,6)(4,7),(1,6,3,5,4),(1,6,7)(3,5,4),
( 1, 6)( 3, 5)( 9,13,12,10,11),( 1, 6, 4, 5, 7,10, 2, 3)( 8,11, 9,12),
( 1, 6)( 2, 3)( 4, 5)( 7, 8)( 9,13,10,12,11),( 1, 6)( 2, 3)( 4, 7)( 9,10),
(1,6,8)(2,3,4)(5,7,9),( 1, 6, 2, 3, 4, 5, 7)( 8,10,11)( 9,13,12),
(1,6,4,2,3,8,5),(1,6,3)(2,4,5),(1,6,9)(2,4,8)(3,5,7),
( 1, 6, 9)( 2, 4, 8)( 3, 5, 7)(11,12,13),(1,6,8)(2,4,9)(3,5,7),(1,6,2,5,3),
(1,6)(2,5),(1,6,2,5,7),( 1, 6, 2, 5, 3, 4)( 7, 9)(10,12,13),
( 1, 6, 9)( 2, 5, 7)( 3, 4, 8)(11,12,13),(1,6)(2,5)(3,7)(4,8),
(1,6)(2,5)(3,8)(4,7),( 1, 6, 3)( 2, 7,10)( 4, 9, 8),(1,6,8,5)(2,7,4,3),
(1,6,4,2,7),(1,6,2,7,8),( 1, 6)( 2, 7)( 3, 5)( 9,10),
( 1, 6)( 2, 7)( 3, 8)(12,13),( 1, 6)( 2, 7)( 3, 8)(10,12,11,13),(1,6)(2,7,3,8)
,( 1, 6)( 2, 7, 3, 8)(10,12)(11,13),( 1, 6)( 2, 7, 3, 8)(10,13)(11,12),
( 1, 6)( 2, 7, 3, 8)( 9,10)(12,13),( 1, 6)( 2, 7)( 3, 8)( 4, 9)( 5,10)(12,13),
( 1, 6)( 2, 7)( 3, 8)( 4, 9)( 5,10)(11,12),( 1, 6)( 2, 7)( 3, 8)( 4, 9, 5,10),
( 1, 6)( 2, 7, 3, 8, 5,10, 4, 9),( 1, 6)( 2, 7, 5,10)( 3, 8, 4, 9)(12,13),
( 1, 6)( 2, 7, 5,10)( 3, 8, 4, 9)(11,12),
( 1, 6, 3, 8)( 2, 7, 5, 9)( 4,10)(12,13),
( 1, 6)( 2, 7)( 3, 9)( 4, 8)( 5,10)(12,13),( 1, 6)( 2, 7)( 3,10)( 5, 8),
( 1, 6, 2, 7)( 3,10, 5, 9)( 4, 8)(12,13),(1,6)(2,8),
( 1, 6, 9)( 2, 8,10)( 3, 5, 7),(1,6,4)(2,8)(3,7),
( 1, 6)( 2, 8)( 3,10)( 4, 9)( 5, 7)(12,13),
( 1, 6)( 2,10)( 3, 9)( 4, 8)( 5, 7)(12,13),(1,7,5,6,2),
( 1, 7, 4, 5, 3)( 9,11,13,12,10),(1,7,4)(5,8,6),( 1, 7)(12,13),(1,7)(4,5),
( 1, 7, 9)( 3,11, 5)( 6,10,12),( 1, 7, 9, 4, 8)( 3,11,10, 5,12),(1,7,4,2,3),
( 1, 7, 5, 4)( 2, 3)( 6,12, 9, 8)(10,11),(1,7)(2,4),(1,7)(2,8)(3,5)(4,6),
(1,7,2,8)(3,5,4,6),(1,7,5,4)(2,8,3,6),(1,7,4)(2,8,5)(3,9,6),
( 1, 7, 4)( 2, 8, 5)( 3, 9, 6)(11,12,13),
( 1, 7, 4)( 2, 8, 5)( 3, 9, 6)(10,11)(12,13),
( 1, 7, 4)( 2, 8, 5)( 3, 9, 6)(10,12,11),
( 1, 7, 4)( 2, 8, 5)( 3, 9, 6)(10,12)(11,13),( 1, 7)( 2, 8)( 3, 9)( 4,10),
( 1, 7, 3, 9, 2, 8, 4,10)(12,13),( 1, 7)( 2, 8)( 3, 9)( 4,10)( 5,11)( 6,12),
( 1, 7)( 2, 8)( 3, 9, 5,11)( 4,10, 6,12),
( 1, 7)( 2, 8, 3, 9)( 4,10)( 5,11, 6,12),
( 1, 7)( 2, 8, 3, 9)( 4,10, 5,11)( 6,12),
( 1, 7, 4,10)( 2, 8, 5,11, 3, 9, 6,12),( 1, 7, 4,10)( 2, 8, 6,12, 3, 9, 5,11),
( 1, 7)( 2, 8)( 3, 9)( 4,10)( 5,12)( 6,11),
( 1, 7)( 2, 8)( 3, 9, 5,12)( 4,10, 6,11),
( 1, 7)( 2, 8, 3, 9)( 4,10)( 5,12, 6,11),
( 1, 7, 2, 8)( 3, 9)( 4,10)( 5,12, 6,11),
( 1, 7, 4,10)( 2, 8, 5,12, 3, 9, 6,11),
( 1, 7)( 2, 8, 6,11)( 3, 9, 5,10)( 4,12),
( 1, 7, 5,10, 3, 9, 6,11)( 2, 8, 4,12),
( 1, 7)( 2, 8)( 3, 9)( 4,12)( 5,11)( 6,10),
( 1, 7, 2, 8)( 3,10)( 4, 9, 5,11)( 6,12),
( 1, 7, 3,10)( 2, 8, 6,12, 5,11, 4, 9),
( 1, 7)( 2, 8)( 3,10)( 4, 9)( 5,12)( 6,11),
( 1, 7)( 2, 8)( 3,10)( 4,11)( 5, 9)( 6,12),
( 1, 7)( 2, 8)( 3,10)( 4,11)( 5,12)( 6, 9),
( 1, 7)( 2, 8)( 3,10, 6,11)( 4,12, 5, 9),
( 1, 7)( 2, 8)( 3,10)( 4,12)( 5, 9)( 6,11),
( 1, 7)( 2, 8)( 3,10)( 4,12)( 5,11)( 6, 9),( 1, 7)( 2, 8)( 3,11)( 6,12),
( 1, 7)( 2, 8)( 3,11)( 4,12)( 5, 9)( 6,10),
( 1, 7)( 2, 8)( 3,11)( 4,12)( 5,10)( 6, 9),
( 1, 7)( 2, 8)( 3,12)( 4,11)( 5,10)( 6, 9),
( 1, 7)( 2, 9)( 3, 8)( 4,10)( 5,11)( 6,12),
( 1, 7)( 2,10)( 3, 8)( 4,12)( 5, 9)( 6,11),( 1, 8, 3, 2)( 4, 5, 9,10),
(1,8,5,4,2),(1,8,7),( 1, 8)(12,13),(1,8)(4,5,6,7),
( 1, 8)( 4, 5, 6, 7)(10,13)(11,12),( 1, 8, 6)( 3, 4, 7)( 9,13,10,11,12),
( 1, 8, 5)( 3,10, 7),(1,8,6)(2,3,5),( 1, 8, 2, 3, 6, 4)( 5, 7)( 9,13,10,11,12)
,(1,8,2,5,3,4,7,9,6),( 1, 8)( 2, 5)( 3, 9)( 7,10),(1,8)(2,7)(3,6)(4,5),
( 1, 8)( 2, 7)( 3,10, 5,12)( 4, 9, 6,11),( 1, 8)( 2, 7)( 3,11)( 6,12),
( 1, 8, 6)( 2, 7, 5)( 3,12, 9)( 4,11,10),
( 1, 8, 5, 2, 9, 6, 3, 7, 4)(11,12,13),(1,8,6,3,7,5,2,9,4),
( 1, 8, 6, 3, 7, 5, 2, 9, 4)(11,12,13),
( 1, 8, 6, 3, 7, 5, 2, 9, 4)(10,11)(12,13),
( 1, 8, 6, 3, 7, 5, 2, 9, 4)(10,12,11),
( 1, 8, 4)( 2, 9, 5)( 3, 7, 6)(10,12,11),( 1, 8)( 2, 9)( 3,10)(12,13),
( 1, 9,10, 5,11, 4, 3, 6,12, 7,13, 8, 2),
( 1, 9, 4)( 2, 7, 5)( 3, 8, 6)(10,12,11),
( 1, 9)( 2,10)( 3,11)( 4,12)( 5, 7)( 6, 8),
( 1, 9, 4,12)( 2,10, 3,11)( 5, 7)( 6, 8),
( 1, 9)( 2,10)( 3,11, 4,12)( 5, 8, 6, 7),
( 1, 9, 3,11, 2,10, 4,12)( 5, 8, 6, 7),
( 1, 9)( 2,12)( 3, 7)( 4,10)( 5,11)( 6, 8),( 1,10, 2),
( 1,10, 2)( 5, 6,13)( 7, 8,11),( 1,10, 2)( 4, 7, 5)( 6, 9, 8),( 1,10, 3),
( 1,10, 4),( 1,10)(11,12),( 1,10)( 4, 5),( 1,10)( 3, 5),
( 1,10)( 2, 3)( 5, 9)(11,12),( 1,10, 6)( 2, 3, 7)( 4, 9, 5),
( 1,10, 5)( 2, 4, 3),( 1,10, 5)( 2, 4, 7)( 3, 6, 8),
( 1,10, 5, 8,12, 2, 4, 9)( 3, 7,11, 6),( 1,10, 9, 8, 3)( 2, 5, 7, 6, 4),
( 1,10)( 2, 5)( 3, 9)( 4, 7),( 1,10)( 2, 6)( 4, 5, 8),
( 1,10)( 2, 7)( 3,11)( 4, 5)( 6, 8)( 9,12),
( 1,10, 6, 4, 2, 9, 5, 3)( 7,12, 8,11),
( 1,10)( 2,11)( 3,12)( 4, 7)( 5, 8)( 6, 9),
( 1,10)( 2,11, 3,12)( 4, 7)( 5, 9, 6, 8),
( 1,10)( 2,12)( 4, 8, 9,13)( 5, 6,11, 7),( 1,11)(12,13),
( 1,11, 5, 6)( 2, 8, 9, 4)],
[[],[3],[1157],[110],[1],[32],[1231],[194],[3,8],[3,24],[110,136],[109,135],[
27,97],[186,1120],[13,1154],[13,1158],[182,1117],[1157,1360],[110,278],[292,
351],[186,1361],[3,28],[291,361],[1154,1408],[186,1168],[15],[1248],[1,12],[32
,12],[1,1156],[32,117],[65,1149],[32,744],[1239,1566],[32,294],[1231,1556],[
1239,1568],[1229,714],[1651,247],[192,1115],[1,1154],[1140,1415],[1229,11],[32
,291],[32,743],[110,503],[1231,1513],[1249],[1154,1354,1613],[3,8,109],[3,24,
97],[13,21,1154],[186,439,1043],[13,187,1121],[109,135,731],[3,467,1073],[8,
109,135],[186,1120,1361],[186,1120,1360],[13,1154,1360],[187,1164,1318],[13,55
,1141],[13,181,1125],[3,181,1115],[61,166,1115],[741,848,948],[13,1154,1354],[
181,1115,1355],[110,732,848],[181,210,1117],[181,475,1073],[1154,1359,1619],[3
,24,41],[462,560,1063],[110,278,347],[109,135,278],[109,135,277],[741,848,958]
,[3,54,1145],[110,278,752],[3,111,734],[109,731,947],[1154,1355,1659],[741,850
,961],[1154,1355,1657],[186,215,1172],[181,1124,1354],[472,1079,1340],[186,247
,1120],[182,1116,1614],[181,1115,1614],[3,467,1077],[465,556,1068],[186,1120,
1372],[186,1125,1378],[1154,1408,1663],[712,1517,1769],[346,773,939],[186,223,
1173],[181,1115,1408],[3,28,104],[1154,1354,1629],[181,1115,1409],[186,223,
1120],[3,1154,1408],[13,474,1081],[3,291,362],[109,261,1115],[110,731,857],[13
,181,1130],[3,741,863],[186,1125,1373],[741,848,953],[1154,1355,1629],[1154,
1355,1630],[472,568,1202],[186,1168,1414],[1,31],[1229,1519],[1211,1224],[32,
192],[310,1214],[310,1285],[307,1215],[4,1229],[77,1226],[1229,1520],[1229,
1524],[1229,1809],[15,11],[15,1155],[1247,909],[1248,1740],[1254,973],[15,1154
],[3,196],[1179,1832],[1250],[3,8,1],[3,24,44],[109,134,66],[1230,3],[3,24,195
],[110,136,66],[291,347,194],[13,55,1236],[463,1065,1416],[1154,1354,790],[
1157,1360,1675],[186,1120,1651],[292,351,1222],[1206,1818,999],[1,109,134],[
1229,3,11],[3,24,192],[109,134,1238],[14,1154,1354],[110,278,1207],[3,24,791],
[14,181,1115],[192,1116,1320],[109,135,500],[61,1146,1415],[61,1146,1416],[109
,1174,1425],[109,1179,1425],[1231,1513,1761],[3,65,24],[1,12,1154],[3,65,1149]
,[14,182,1116],[1140,1415,544],[3,192,109],[14,181,210],[192,1115,1343],[65,
175,1116],[109,1238,1567],[295,364,135],[14,57,1143],[27,192,1134],[1,1154,
1358],[32,291,756],[508,285,1195],[32,117,731],[32,12,743],[1178,1425,588],[
1140,1415,552],[32,291,350],[32,12,291],[1,498,587],[1612,764,11],[467,574,
1075],[3,1229,1553],[1754,384,3],[3,791,450],[1157,1421,1784],[1175,1426,585],
[1231,712,1513],[192,1115,1401],[109,1238,1570],[3,192,1135],[1,1154,1411],[
1499,1758],[32,291,759],[1,109,1180],[14,181,217],[14,1154,1408],[3,59,1224],[
32,291,363],[3,1145,1419],[1251],[1249,975],[1249,984],[27,1249],[15,118],[69,
1224],[1,1248],[181,209,1115,1313],[61,166,421,1023],[3,1154,1354,1613],[3,24,
291,347],[3,8,741,848],[13,181,1115,1360],[186,215,1120,1319],[181,210,1115,
1315],[8,110,732,848],[13,55,462,1063],[3,181,433,1036],[13,21,181,1115],[13,
181,439,1042],[3,181,433,1038],[181,209,1115,1314],[13,181,1115,1354],[13,181,
215,1121],[13,1154,1354,1619],[181,483,1082,1354],[3,8,109,137],[181,1115,1354
,1634],[181,433,1036,1366],[3,24,291,359],[3,104,273,351],[13,181,215,1130],[3
,181,221,1128],[3,59,164,1164],[109,301,703,849],[181,434,1037,1362],[3,8,731,
859],[3,111,279,750],[3,24,291,758],[181,484,1083,1356],[3,181,1117,1362],[13,
462,1071,1770],[13,468,1074,1341],[109,731,848,956],[182,1116,1354,1634],[186,
215,1120,1374],[181,433,1036,1354],[3,8,24,97],[181,1115,1354,1613],[61,462,
568,1072],[3,28,291,349],[3,8,291,351],[3,24,291,349],[109,277,673,849],[181,
434,1037,1354],[181,434,1037,1355],[13,462,556,1068],[3,54,462,1185],[3,183,
475,1077],[3,59,462,1183],[3,109,733,843],[3,181,475,1077],[181,434,1037,1613]
,[3,181,1115,1613],[13,21,476,1090],[186,223,439,1043],[3,467,1073,1334],[181,
210,434,1038],[27,161,1116,1322],[3,24,97,273],[3,8,24,291],[3,24,104,273],[12
,54,82,1140],[3,54,158,1164],[181,210,434,1037],[13,21,181,1125],[3,181,433,
1082],[24,97,299,701],[181,217,434,1037],[174,427,545,1029],[182,435,1039,1357
],[182,435,1039,1356],[181,434,1037,1616],[181,434,1037,1615],[181,434,1037,
1356],[13,439,1068,1751],[13,433,1063,1360],[21,186,1120,1661],[186,247,1120,
1325],[181,1115,1354,1618],[13,1154,1408,1656],[186,215,248,1318],[186,1120,
1354,1613],[181,1115,1359,1613],[182,1116,1354,1656],[3,1154,1356,1658],[182,
1116,1354,1615],[186,215,1120,1373],[186,247,1125,1368],[181,1115,1355,1615],[
13,1154,1354,1662],[182,1116,1356,1613],[186,215,1125,1375],[186,248,1120,1361
],[186,248,1120,1360],[181,1115,1408,1613],[181,1115,1409,1615],[13,181,1168,
1375],[186,1120,1408,1619],[182,1116,1408,1616],[186,223,1125,1376],[186,223,
1125,1373],[186,215,1171,1325],[111,733,862,959],[111,733,861,959],[182,1116,
1408,1656],[182,1116,1408,1657],[181,1115,1408,1614],[109,731,863,947],[110,
732,861,947],[3,8,291,360],[109,261,460,1061],[13,21,1154,1408],[3,109,731,863
],[13,187,1121,1408],[3,181,1115,1408],[13,181,482,1081],[3,175,1115,1390],[3,
24,291,757],[3,181,483,1082],[21,1154,1370,1667],[3,741,850,952],[3,741,848,
952],[3,1154,1408,1663],[3,1154,1408,1664],[181,222,1115,1388],[3,104,273,353]
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181,1115,1408,1640],[13,1154,1408,1647],[182,1116,1408,1669],[13,181,1168,1414
],[186,1120,1408,1649],[3,1154,1408,1640],[467,1073,1334,1681],[186,439,1074,
1378],[346,397,689,939],[472,569,646,1072],[472,557,636,1079],[467,1073,1334,
1677],[467,1073,1336,1679],[295,700,847,966],[1,31,12],[65,1224,1549],[1229,
1519,765],[327,1207,728],[67,1224,1556],[1229,1519,764],[65,1224,1551],[991,
1473,582],[532,1820,1010],[67,1224,712],[4,1229,712],[194,782,449],[308,1211,
714],[1,1238,725],[305,1207,1495],[1,118,61],[192,776,921],[192,110,776],[32,
192,116],[308,1211,1549],[32,12,192],[14,3,1224],[1,508,626],[121,502,1194],[
65,1224,708],[65,1150,1415],[32,193,1138],[32,791,446],[32,744,866],[307,1211,
1837],[67,1224,1837],[32,744,867],[67,1226,1555],[194,783,916],[1229,336,764],
[1,737,869],[1,792,929],[1229,714,1519],[532,1277,1009],[1,31,291],[3,1229,
1519],[3,308,1211],[32,192,1115],[1,472,570],[84,1157,1415],[1229,1549,1806],[
1229,1522,771],[3,1229,1522],[69,50,33],[196,149,123],[69,50,1152],[196,1139,
1405],[1254,973,830],[1254,973,1561],[3,8,1247],[15,1154,1354],[15,181,1115],[
15,181,433],[3,111,1247],[15,11,1154],[15,184,1118],[3,196,1139],[3,1247,899],
[3,321,238],[15,181,1165],[110,1247,910],[15,1154,1357],[15,181,436],[1248,908
,1726],[15,1154,1410],[3,516,376],[15,1154,1408],[3,28,516],[1249,821],[1249,
822],[1249,824],[1,1249],[32,1249],[1250,1014],[3,8,1,24],[3,24,44,8],[291,347
,1220,692],[3,24,44,104],[291,347,192,110],[1154,1354,787,433],[1154,1354,787,
1656],[3,24,44,293],[3,24,44,739],[1505,1754],[1501,1241],[292,351,195,112],[
181,209,119,1124],[61,166,225,1132],[1154,1354,787,1657],[1154,1354,787,438],[
13,55,1236,1548],[215,1478,1670,247],[465,1071,1421,564],[109,277,1242,701],[
186,1120,1651,1377],[215,1319,1651,1181],[384,1520,3],[182,435,571,1073],[1154
,1354,790,1657],[3,24,793,448],[109,134,1240,725],[557,635,225,1044],[292,351,
1222,693],[192,446,1050,1313],[1,109,137,1175],[3,24,192,1135],[3,192,111,1122
],[1,181,437,1079],[1,61,166,213],[32,117,283,347],[61,1146,1415,557],[192,446
,1050,1314],[65,174,427,545],[192,447,1051,1313],[97,267,1207,748],[24,97,1238
,1569],[3,742,866,351],[3,737,866,353],[32,117,283,755],[14,181,1115,1614],[14
,181,1124,1355],[14,182,1116,1613],[192,451,1056,1317],[14,181,1126,1354],[1,
472,557,1203],[1229,711,3,11],[109,134,1238,726],[3,24,791,448],[110,278,1210,
754],[3,109,134,65],[3,24,44,97],[3,8,1,1154],[1154,1354,787,1613],[3,24,44,
737],[109,497,1095,1425],[109,497,1095,1426],[181,209,119,1115],[181,433,571,
1036],[1154,1354,787,1614],[3,741,852,506],[3,8,509,1194],[110,279,677,868],[
1154,1354,788,1613],[13,55,1141,1421],[13,181,1115,1651],[215,1159,1352,1670],
[215,1157,1353,1670],[187,1164,1318,1651],[1154,1355,1615,571],[1,1154,1354,
1613],[14,181,433,1036],[3,192,1115,1313],[3,24,192,1115],[14,181,1115,1354],[
3,111,279,1207],[32,116,731,838],[32,116,282,682],[109,134,500,1099],[1,109,
134,1174],[65,174,428,1031],[3,65,175,1117],[3,192,1115,1342],[3,65,171,1117],
[1,252,1122,1334],[1,181,1119,1324],[65,171,426,1028],[3,75,24,1140],[3,24,192
,1133],[1,12,181,1115],[1,61,462,1066],[3,192,109,1122],[1,1154,1354,1617],[2,
12,1154,1354],[1,61,462,1187],[1,185,1119,1354],[3,192,1117,1342],[32,117,283,
683],[3,741,866,351],[32,12,116,731],[27,1143,1415,545],[109,134,1238,724],[3,
8,791,930],[3,741,866,349],[61,1160,1415,544],[61,1160,1415,557],[14,3,181,433
],[3,192,446,1050],[194,117,1115,1313],[14,181,477,1075],[3,192,446,1052],[13,
55,1289,707],[3,1140,1415,544],[1231,712,1513,1761],[110,278,1210,677],[1154,
1408,1663,570],[1154,1408,1663,574],[346,1304,1594,661],[346,773,939,661],[3,8
,24,192],[110,278,347,1207],[3,24,192,1117],[1,181,222,1129],[1,472,557,636],[
25,98,134,1238],[32,116,282,347],[27,100,135,500],[1,181,1115,1613],[1,181,
1129,1354],[1,472,1079,1340],[1229,1501,3],[13,63,1141,1485],[13,55,1148,1485]
,[3,65,28,1145],[14,181,217,1116],[192,97,1115,1391],[1,12,181,217],[1,12,1154
,1408],[14,182,1116,1408],[3,192,1123,1339],[61,83,1224,1544],[61,1161,1415,
558],[61,1161,1415,544],[3,104,500,1099],[1,1154,1358,1629],[61,83,1224,707],[
61,1161,1416,558],[3,28,192,97],[192,446,1050,1343],[192,447,1051,1342],[3,28,
192,1133],[1,1154,1358,1660],[3,59,1224,1544],[3,471,570,1073],[3,1145,1415,
546],[1,181,1124,1358],[14,182,1116,1614],[65,174,427,550],[1,467,1073,1334],[
3,28,1224,709],[1229,713,1499],[1,1154,1408,1663],[14,181,1115,1409],[3,192,
104,1115],[1,1154,1354,1632],[3,192,1115,1403],[3,192,1115,1339],[3,508,625,
1104],[1,181,1115,1408],[3,104,273,1207],[1,181,1115,1366],[3,28,192,1115],[14
,1154,1354,1629],[27,42,737,866],[1,1154,1408,1666],[14,1154,1408,1642],[1,
1154,1408,1645],[122,1247],[1251,1015],[65,305,1207],[67,307,1209],[4,65,1224]
,[4,308,1211],[1754,1229,1],[312,1283,1754],[308,1211,1526],[1229,1755,313],[
310,392,1217],[308,1211,1528],[67,307,1245],[311,1213,1528],[311,1218,1559],[1
,1229,1522],[3,8,1249],[3,24,1249],[3,1249,975],[27,1249,975],[27,1249,986],[
27,42,1249],[27,1249,987],[15,11,118],[32,516,372],[38,202,1120],[32,516,1112]
,[1,1248,908],[32,516,1113],[1,321,240],[1,1248,1740],[69,1224,719],[15,508,
1198],[14,3,321],[32,12,516],[1,1156,1423],[3,118,1247],[32,116,1247],[13,55,
159,414,1017],[3,8,1154,1354,1613],[13,21,181,209,1115],[13,21,181,433,1036],[
3,181,209,1115,1315],[3,181,211,1115,1315],[181,433,1036,1354,1613],[182,435,
1039,1356,1616],[186,439,1043,1361,1618],[181,433,1036,1359,1619],[181,434,
1037,1354,1615],[181,434,1037,1354,1616],[186,439,1043,1354,1613],[186,215,250
,1129,1325],[186,215,250,1129,1318],[13,181,223,1125,1372],[182,435,1039,1354,
1614],[13,181,247,1125,1367],[13,181,247,1166,1367],[181,433,1036,1354,1614],[
181,434,1037,1354,1613],[181,434,1037,1355,1613],[181,209,1115,1313,1613],[181
,209,433,1036,1313],[54,158,413,1016,1354],[61,166,480,1079,1313],[181,209,
1115,1313,1614],[181,210,1115,1314,1614],[13,181,215,247,1121],[181,210,434,
1037,1314],[13,21,181,209,1125],[13,55,159,215,1121],[54,158,413,1016,1355],[
13,55,462,548,1063],[54,158,416,1019,1355],[13,21,181,218,1125],[3,11,54,158,
1164],[3,24,104,273,747],[3,24,291,347,693],[61,181,441,1044,1317],[13,55,462,
1063,1767],[13,55,462,1063,1761],[109,135,279,676,839],[109,136,277,673,841],[
181,210,435,1038,1316],[3,8,181,1124,1354],[181,210,434,1037,1315],[110,136,
732,841,958],[109,135,731,839,960],[181,210,1115,1314,1615],[182,211,1116,1315
,1614],[181,433,1036,1354,1634],[181,483,1082,1354,1613],[181,433,1036,1354,
1621],[181,433,1036,1354,1635],[109,301,703,848,950],[181,484,1083,1354,1613],
[181,433,1036,1483,1621],[181,484,1083,1354,1614],[109,278,675,848,955],[181,
434,1037,1354,1637],[181,434,1037,1354,1636],[181,434,1037,1354,1625],[109,302
,704,848,950],[181,484,1083,1354,1615],[181,434,1037,1355,1625],[13,181,481,
1087,1375],[13,462,605,1071,1761],[3,8,1154,1408,1663],[13,55,159,1115,1382],[
3,8,181,1115,1408],[3,8,741,848,952],[3,109,137,731,838],[13,181,223,1115,1389
],[13,181,223,1115,1398],[3,109,137,731,853],[3,109,137,731,856],[3,8,24,291,
347],[3,24,97,267,347],[3,8,741,848,958],[3,111,733,850,958],[3,183,1117,1354,
1615],[13,181,215,1115,1372],[8,110,732,848,958],[3,109,731,850,947],[3,181,
435,1038,1356],[3,109,277,673,850],[3,181,435,1038,1354],[3,8,181,1115,1613],[
3,109,279,676,947],[13,181,223,439,1042],[3,109,277,673,848],[54,158,210,1115,
1313],[3,59,164,1115,1315],[13,55,159,1115,1319],[3,181,209,464,1038],[61,166,
209,1115,1317],[24,97,259,1115,1349],[3,24,179,430,1032],[3,8,24,291,692],[61,
83,166,421,1023],[3,54,158,489,1073],[3,8,54,158,1115],[3,181,1115,1354,1613],
[181,217,433,1036,1324],[186,223,439,1043,1325],[186,223,439,1043,1329],[109,
137,278,675,844],[13,62,462,548,1068],[13,159,414,556,1026],[13,181,481,1080,
1363],[3,59,164,1115,1407],[3,181,217,1115,1387],[181,433,1036,1354,1640],[181
,438,1041,1354,1648],[13,55,159,1166,1414],[182,435,1039,1357,1644],[182,435,
1039,1356,1640],[181,434,1037,1355,1640],[13,62,168,215,1115],[3,109,277,673,
851],[3,181,217,435,1038],[3,54,158,1115,1387],[13,21,181,218,1115],[3,181,485
,1084,1354],[13,181,433,1036,1369],[3,181,221,1115,1328],[3,109,273,669,848],[
13,62,168,1115,1360],[3,8,109,731,851],[13,181,439,1042,1363],[3,109,731,848,
954],[13,181,215,1115,1374],[8,110,732,848,954],[27,42,100,270,347],[54,158,
475,1073,1354],[61,82,462,560,1066],[3,104,277,673,840],[61,166,421,610,1044],
[3,28,291,357,692],[181,210,434,1037,1326],[61,181,441,1044,1333],[13,21,468,
1074,1335],[13,187,476,1080,1325],[3,28,104,134,273],[3,104,277,673,838],[27,
158,413,554,1033],[3,28,97,731,853],[181,480,1079,1329,1613],[61,188,441,547,
1201],[110,297,701,843,948],[182,475,1075,1324,1613],[181,476,1074,1329,1620],
[109,297,700,844,949],[186,223,439,1043,1372],[110,297,701,843,957],[181,217,
1115,1381,1613],[110,140,732,855,961],[110,140,732,855,960],[110,140,732,855,
948],[182,221,1116,1387,1613],[181,217,1115,1384,1616],[181,217,1115,1384,1615
],[61,189,1115,1400,1760],[13,181,1115,1408,1613],[13,181,223,1115,1372],[13,
187,1121,1408,1662],[13,187,1121,1408,1656],[13,187,1121,1408,1613],[13,181,
1115,1476,1613],[13,181,1115,1408,1649],[13,181,1115,1408,1648],[13,468,1074,
1335,1676],[13,468,1074,1335,1680],[13,473,1080,1341,1684],[13,473,1080,1341,
1681],[3,183,1117,1408,1640],[13,21,1154,1408,1646],[3,295,700,846,967],[3,467
,1073,1334,1681],[3,471,1077,1339,1678],[13,481,1092,1330,1613],[38,1422],[1,
31,12,51],[65,305,171,390],[1754,1229,764,1001],[1229,1519,764,882],[1207,305,
1542],[532,1276,1011,1379],[532,1820,1010,1380],[84,1415,548,1762],[84,1415,
548,1802],[192,1115,1313,776],[1229,336,3],[1229,313,3],[1229,1,3],[193,1115,
1313,784],[1,109,134,1240],[194,1115,1313,778],[193,1115,1313,785],[1,497,1095
,1425],[148,109,65,1238],[192,1115,1313,777],[32,291,347,193],[32,291,692,866]
,[13,55,315,1237],[3,24,192,786],[1229,1757,3],[1,1154,1354,787],[65,463,1065,
1416],[1157,1360,789,1651],[1,31,12,97],[305,1207,707,1495],[192,776,446,921],
[31,192,243,1136],[1,31,12,737],[65,182,776,427],[1,31,116,283],[32,12,192,116
],[65,24,305,161],[32,117,500,1099],[1,1178,1425,588],[1,1178,1425,584],[1,185
,224,1131],[32,117,500,1100],[32,117,501,1100],[1,25,1238,1566],[1,1174,1425,
585],[119,501,633,1102],[4,118,1125,1375],[128,289,1207,687],[77,1232,1555,
1767],[67,25,1224,1555],[307,1215,712,1761],[67,1224,712,1837],[307,1211,712,
1837],[32,744,867,350],[1754,1229,764,384],[1,13,508,1102],[67,25,1224,707],[1
,224,1131,1351],[1,13,570,209],[1754,1229,384,765],[194,117,785,431],[532,403,
1820,1009],[65,1149,1416,550],[109,134,327,1207],[1754,1229,3,11],[312,1211,3,
11],[1,109,134,1238],[3,24,192,776],[1,61,1146,1415],[3,1229,1519,764],[109,
327,1207,724],[109,327,1207,729],[3,1229,1519,766],[32,192,1115,1347],[3,65,
1224,1549],[65,1140,1415,552],[27,192,776,447],[1229,711,335,3],[3,65,1224,711
],[65,1140,1415,550],[77,1163,1420,551],[1,31,116,282],[109,404,254,1207],[1,
109,1238,1567],[32,117,283,1208],[32,192,116,1115],[32,193,116,1115],[65,27,
1140,1415],[1,472,570,1079],[1,24,97,1238],[32,12,192,1115],[109,327,1207,1531
],[1,61,1160,1415],[109,328,1208,1569],[3,192,111,776],[109,327,1207,1535],[3,
65,1224,709],[1,13,192,1115],[14,1140,1415,544],[32,116,500,282],[3,1229,711,
1519],[32,743,866,347],[307,1211,1513,1761],[3,65,1224,1547],[3,308,1211,1502]
,[32,192,1115,1401],[3,305,1207,1502],[3,65,28,305],[3,1229,715,1519],[1229,
1808,11],[1,31,291,759],[312,1211,717],[3,65,1224,715],[3,59,305,1207],[32,192
,1115,1393],[3,8,1229,1523],[3,1229,1522,770],[3,1229,1522,772],[1251,884],[15
,1154,1354,1613],[15,181,433,1036],[3,8,109,1247],[15,181,1115,1354],[15,11,
181,209],[15,11,1154,1354],[15,181,1115,1357],[15,184,1118,1354],[3,111,1247,
910],[15,1154,1354,1616],[15,181,209,1118],[3,111,1247,897],[3,109,1247,910],[
3,111,1247,899],[15,11,181,1115],[15,181,436,1039],[15,181,433,1039],[3,24,516
,372],[15,1154,1408,1663],[109,1247,897,815],[15,11,58,162],[15,11,58,1144],[
15,11,181,1127],[109,1247,897,816],[15,181,1118,1386],[15,184,220,1118],[110,
1247,897,808],[3,516,372,324],[3,196,1139,1406],[15,184,1118,1365],[27,516,372
,1105],[1156,1650,650,578],[15,181,1115,1410],[3,109,1247,912],[15,1154,1354,
1631],[15,181,1115,1408],[15,181,483,1082],[15,1154,1354,1629],[15,1154,1354,
1656],[27,100,135,1247],[24,97,134,1247],[15,181,1115,1613],[15,11,1154,1408],
[15,184,1118,1408],[3,28,516,372],[109,137,1247,898],[15,1154,1357,1629],[15,
1154,1408,1665],[15,1154,1357,1659],[3,104,1247,902],[27,115,1247,905],[15,184
,1118,1616],[3,97,1247,904],[69,462,567,1070],[3,24,516,377],[3,8,516,1109],[
15,181,1115,1616],[15,184,1118,1613],[15,1154,1354,1659],[15,1154,1410,1643],[
1249,821,983],[1249,821,984],[1249,822,982],[1249,824,988],[31,1249,982],[32,
1249,989],[3,1249,821],[1,1249,983],[32,1249,988],[32,12,1249],[1,12,1249],[1,
31,516],[8,11,1,109,134],[3,8,462,1063,1415],[134,148,65,497,1095],[3,8,1,1154
,1354],[3,8,741,852,506],[3,8,462,1063,1419],[3,8,193,1115,1313],[109,134,66,
497,1095],[13,21,4,181,1115],[13,55,91,462,1063],[3,181,433,570,1036],[3,24,44
,97,267],[134,148,65,731,839],[109,254,426,1028,1426],[3,175,428,1030,1415],[3
,1154,1354,787,1615],[13,1154,1354,1613,570],[186,215,1120,1319,1675],[159,421
,1036,1421,1761],[181,209,1115,1313,787],[181,209,1115,1313,790],[109,134,497,
1095,1427],[186,215,1120,1319,1651],[13,55,462,1063,1421],[109,134,497,1095,
1428],[3,8,741,852,507],[186,215,1120,1319,789],[1,61,166,421,1023],[1,181,209
,1115,1313],[1,109,134,497,1095],[3,109,134,65,24],[158,413,1016,1415,544],[
110,731,838,500,278],[13,21,4,181,1125],[110,278,675,866,347],[258,450,1054,
1425,588],[252,413,1016,1436,588],[109,497,1095,1486,592],[109,497,1095,1486,
585],[3,8,1,24,291],[3,462,1063,1485,546],[3,24,44,8,291],[3,109,277,364,137],
[54,158,413,570,1073],[3,8,1,291,351],[1354,1154,835,433,1613],[3,24,44,291,
750],[109,277,364,135,677],[384,336,764,3],[110,732,843,503,280],[3,8,1,467,
1073],[3,913,741,504,277],[741,848,504,279,949],[741,848,504,277,950],[3,741,
848,504,958],[741,848,504,279,947],[109,497,1095,1487,592],[109,497,1095,1487,
585],[54,158,413,574,1075],[3,8,109,501,267],[3,1482,1154,787,435],[741,848,
504,279,948],[741,852,506,278,949],[3,1154,1354,787,1658],[3,109,134,504,1101]
,[3,291,347,1220,693],[1508,1754,11],[186,1120,1361,1651,247],[186,1120,1360,
1651,247],[186,1120,1361,1651,248],[186,1120,1360,1651,248],[13,181,1115,1651,
1377],[181,433,571,217,1036],[13,181,1115,1651,247],[110,278,675,870,349],[
1154,1354,790,434,1613],[3,109,134,65,28],[61,166,224,1115,1400],[8,11,1,731,
859],[61,166,224,1115,1399],[3,291,347,1220,697],[1499,1758,673],[14,3,1154,
1354,1613],[1,12,181,433,1036],[3,24,192,97,1115],[1,12,54,462,1063],[14,57,
161,416,1019],[3,192,97,1115,1313],[3,192,111,1115,1313],[2,181,213,1115,1317]
,[1,12,181,1115,1354],[3,192,109,1115,1313],[8,65,174,427,1029],[1,109,252,458
,1059],[14,57,161,1115,1314],[27,41,737,866,347],[32,12,116,282,682],[14,3,
1154,1408,1663],[27,42,192,1115,1313],[3,24,192,1115,1381],[3,8,1,291,360],[3,
24,44,291,357],[3,8,1,741,861],[3,8,193,1115,1390],[3,24,195,1115,1381],[27,42
,291,692,866],[1,12,54,82,1140],[65,174,427,544,1029],[1,109,137,252,1122],[1,
12,54,158,1164],[97,267,352,1207,675],[110,278,348,1207,675],[1,12,181,209,
1124],[24,97,297,1207,666],[24,97,299,1207,666],[100,270,352,1207,675],[65,24,
462,545,1064],[3,8,267,1207,664],[1,12,1154,1354,1656],[1,181,1115,1358,1613],
[1,185,1119,1354,1656],[3,8,295,364,134],[3,8,54,1224,1544],[32,117,283,350,
683],[24,97,1179,1425,584],[61,83,1146,1415,547],[1224,29,1501,707],[1224,713,
1501,3],[24,97,297,1207,700],[24,97,148,500,1099],[3,97,273,1207,664],[14,181,
219,1116,1324],[1,12,467,1073,1334],[1,54,158,1119,1354],[3,65,175,1117,1320],
[3,111,273,1207,700],[1,181,209,1119,1324],[3,202,109,1117,1320],[14,182,475,
1075,1324],[1,61,166,1119,1354],[1,181,437,1040,1613],[1,12,181,1115,1613],[12
,54,90,1224,707],[1229,384,764,3,11],[3,8,192,1115,1401],[1,61,83,462,1063],[
14,181,433,1036,1364],[1,181,487,1086,1354],[3,109,277,1207,750],[1,181,209,
1115,1397],[14,181,475,1073,1364],[14,181,1115,1354,1635],[1,181,217,1115,1381
],[3,104,273,1207,750],[3,192,452,1055,1339],[27,192,115,1115,1381],[3,192,104
,1115,1392],[1,181,433,1036,1358],[14,181,434,1037,1354],[1,181,217,1115,1329]
,[3,65,158,1115,1321],[1,109,497,585,1097],[2,109,259,1115,1350],[3,192,446,
1050,1313],[3,97,267,1207,669],[1,181,1115,1354,1617],[1,185,1119,1354,1613],[
3,192,446,1050,1315],[3,192,448,1052,1315],[3,192,448,1052,1313],[3,97,267,
1207,751],[1,61,166,475,1073],[3,111,279,1207,664],[3,109,277,1207,751],[3,8,
192,450,1054],[1,109,497,592,1096],[109,134,1174,1425,585],[3,24,737,866,349],
[1,61,166,421,557],[1,181,480,1079,1329],[3,24,192,1115,1315],[1,181,222,1115,
1329],[1,109,134,497,1191],[3,109,277,351,1207],[3,109,277,347,1207],[3,97,267
,351,1207],[3,97,267,347,1207],[14,181,1115,1354,1613],[12,54,90,1140,1415],[1
,181,433,1036,1366],[3,109,140,277,1207],[3,65,164,419,1183],[1,61,189,442,557
],[3,104,273,347,1207],[1,181,1115,1354,1634],[1,61,189,1115,1400],[27,115,281
,355,1207],[1,12,181,1115,1408],[3,192,109,1115,1392],[3,202,111,1115,1392],[3
,202,111,1115,1390],[3,109,301,1207,703],[3,192,97,1115,1390],[3,192,109,1115,
1381],[3,104,273,1207,669],[1,12,1154,1354,1629],[27,42,1140,1415,544],[1,181,
475,1073,1324],[1,181,437,1040,1358],[3,202,111,1115,1321],[3,192,448,1052,
1344],[1,54,158,1115,1358],[3,28,192,448,1052],[3,109,137,500,1101],[3,109,301
,1207,673],[3,109,137,500,277],[1,185,1119,1354,1617],[3,59,1145,1415,546],[1,
181,475,1073,1366],[1,181,213,1115,1397],[3,104,273,1207,753],[3,192,446,1050,
1321],[3,75,175,1115,1381],[3,65,462,566,1069],[3,192,448,1052,1339],[3,192,
446,1050,1339],[14,182,1116,1354,1634],[186,223,1120,1389,1653],[1,185,1119,
1408,1656],[1,181,1115,1411,1613],[1,185,1119,1408,1660],[14,181,1115,1408,
1642],[14,181,1115,1408,1613],[14,181,1115,1408,1640],[14,181,1115,1408,1614],
[1,185,1119,1408,1613],[1154,1408,1663,570,489],[1154,1408,1663,615,490],[1154
,1409,1665,572,489],[346,1304,1594,661,397],[1,472,1079,1340,1681],[14,469,
1075,1336,1676],[14,467,1073,1334,1677],[13,1154,1408,1663,577],[1,12,1154,
1408,1640],[14,182,1116,1408,1640],[1,467,1073,1334,1682],[1,472,1079,1340,
1682],[1,472,1079,1340,1676],[14,469,1075,1336,1681],[14,469,1075,1336,1677],[
122,1247,908],[15,321,238],[122,1247,1726],[3,65,305,1207],[65,305,1207,707],[
1,327,1207,1531],[65,305,175,1207],[4,65,25,1224],[1,1229,1519,764],[2,1007,
656,886],[1,31,192,1138],[67,307,1209,1514],[4,305,1211,1787],[1,31,791,926],[
65,306,1208,1505],[65,305,1207,714],[67,307,1209,712],[1,31,791,449],[1,308,
1211,711],[3,308,1211,1525],[1754,1229,764,335],[308,1211,1525,761],[1754,1229
,764,336],[309,1216,1607,760],[341,1287,711,1525],[532,616,1012,397],[308,1211
,711,1525],[14,57,305,1207],[14,305,1207,1495],[1,31,791,446],[1,31,740,866],[
1224,65,1497,309],[4,305,1211,1761],[77,307,1209,1837],[3,308,1211,1527],[312,
1283,1549,1806],[308,1211,1527,761],[1229,1550,1807],[309,1216,1558,769],[1229
,1604,1805],[312,1283,1501,1754],[308,1211,1706,395],[532,616,1012,346],[309,
1212,1705,395],[1250,883],[1154,1354,1613,826],[3,24,1249,975],[3,8,1249,983],
[3,28,1249,975],[3,8,24,1249],[3,28,1249,981],[3,24,1249,981],[3,8,1249,975],[
6,20,17],[41,45],[781,1471],[1274,1305],[549,1804],[1442,1232],[1742,871],[
1186,1804],[118,1247,897,810],[15,11,508,624],[38,13,202,1137],[69,50,1224,718
],[1,1254,973,1561],[148,109,65,1247],[15,181,433,570],[15,291,347,1220],[15,
1154,1354,787],[13,21,128,1259],[14,321,238,197],[69,50,33,1224],[128,1259,901
,805],[69,50,1152,1415],[1,1254,973,830],[118,54,1247,897],[32,117,1247,897],[
15,508,287,1196],[69,1153,1415,544],[1,54,797,608],[15,11,508,284],[1,1179,
1433,655],[3,118,59,1247],[3,75,24,1247],[15,508,284,1194],[1,109,1247,902],[
69,1140,1415,555],[1,109,1247,897],[15,192,1115,1316],[69,50,1140,1415],[1,109
,1247,912],[1,31,1249],[31,1249,821],[32,1249,821],[1,1249,823],[32,1249,822],
[13,21,181,209,1115,1313],[181,209,433,1036,1313,1613],[61,166,421,611,648,
1023],[181,209,433,1036,1313,1618],[181,210,433,1036,1314,1614],[13,55,159,215
,247,1121],[13,62,168,215,247,1121],[55,159,414,1017,1354,1618],[181,209,463,
1064,1313,1613],[181,209,463,1064,1313,1615],[181,209,463,1064,1313,1616],[181
,210,434,1037,1314,1616],[181,210,434,1037,1314,1615],[181,214,439,1042,1318,
1618],[181,214,439,1042,1318,1620],[13,181,215,247,1121,1330],[13,181,215,247,
1121,1325],[13,55,462,548,1063,1767],[13,159,433,1036,1319,1814],[13,55,159,
215,1121,1372],[13,55,462,564,1063,1761],[3,181,433,1036,1354,1613],[3,181,433
,1036,1482,1615],[3,181,435,1038,1354,1613],[13,181,439,1042,1360,1613],[13,
181,223,439,1042,1325],[3,109,137,277,673,843],[13,21,55,159,414,1017],[3,8,
181,433,1036,1354],[3,8,109,731,848,947],[13,21,55,159,1115,1313],[3,8,181,483
,1082,1354],[13,21,181,209,1115,1382],[3,8,109,731,848,954],[13,55,159,414,
1017,1360],[13,181,215,439,1042,1319],[3,181,211,433,1036,1315],[13,21,181,209
,1115,1325],[3,181,238,435,1065,1315],[3,8,24,97,731,848],[3,181,209,1115,1313
,1613],[3,181,209,1115,1313,1615],[3,181,211,1115,1315,1615],[13,181,215,247,
1115,1319],[3,24,97,267,664,848],[13,21,55,159,209,1115],[13,55,159,476,1074,
1313],[3,8,181,1115,1408,1613],[181,217,433,1036,1324,1613],[61,166,421,557,
646,1046],[61,89,462,561,635,1067],[181,217,434,1037,1324,1615],[181,217,434,
1037,1324,1616],[110,140,279,677,844,948],[186,223,251,439,1043,1325],[186,223
,250,439,1043,1329],[186,223,439,1043,1325,1619],[181,218,433,1036,1329,1619],
[13,62,168,481,1080,1360],[181,209,433,1036,1313,1621],[54,158,413,1016,1354,
1634],[61,166,421,611,647,1044],[24,97,267,664,848,955],[181,210,434,1037,1314
,1625],[24,97,270,666,848,956],[13,55,462,1063,1319,1817],[181,209,463,1064,
1313,1625],[181,210,435,1038,1316,1623],[181,214,433,1036,1319,1628],[54,158,
209,413,1016,1313],[13,21,159,433,1036,1313],[61,83,166,421,547,1023],[55,159,
214,421,1023,1318],[54,158,209,413,1016,1317],[3,28,158,419,1021,1313],[181,
217,433,1036,1324,1621],[181,217,433,1036,1324,1622],[181,217,434,1037,1324,
1625],[13,62,466,1068,1319,1816],[13,21,181,476,1074,1325],[3,109,134,277,673,
843],[3,59,164,211,419,1021],[13,181,433,1036,1354,1648],[13,181,439,1042,1360
,1648],[3,181,433,1036,1354,1640],[13,181,223,433,1036,1331],[3,109,147,279,
676,845],[13,21,181,218,1115,1382],[13,21,181,218,1115,1395],[3,28,104,273,669
,848],[3,28,104,273,669,850],[3,8,54,158,1115,1407],[3,181,238,435,1065,1328],
[13,55,159,215,1115,1374],[13,55,159,215,1115,1413],[3,109,303,705,848,949],[3
,181,485,1084,1354,1613],[3,181,483,1082,1354,1615],[8,109,278,675,848,955],[3
,181,433,1036,1484,1621],[3,109,277,673,848,954],[3,109,277,673,848,951],[13,
62,168,215,247,1115],[13,21,181,433,1036,1363],[13,63,169,482,1081,1354],[13,
63,169,209,424,1026],[13,181,223,247,439,1042],[13,181,476,1074,1325,1619],[13
,181,482,1081,1331,1613],[13,181,482,1081,1331,1619],[3,54,158,475,1089,1315],
[3,57,161,419,1021,1356],[3,181,217,435,1038,1324],[3,181,217,1115,1381,1615],
[3,109,140,731,855,949],[13,181,223,1115,1408,1613],[3,181,217,1115,1381,1613]
,[3,164,59,479,1077,1315],[13,55,159,481,1080,1319],[13,21,181,1115,1408,1641]
,[13,21,468,1074,1335,1676],[13,21,468,1074,1335,1683],[3,184,475,1078,1324,
1615],[13,187,476,1081,1325,1613],[15,11,798],[1,148,109,65,24],[65,462,1063,
1415,565],[8,11,1,1224,1544],[1,654,497,327,258],[1,497,1095,1425,594],[3,24,
44,791,928],[1,61,166,224,441],[1229,711,1,3],[1229,711,336,3],[1229,711,337,3
],[32,291,347,1220,694],[3,8,65,1225,711],[32,291,347,1221,694],[194,1115,1313
,777,449],[109,134,65,1238,726],[65,654,497,328,1096],[3,8,193,777,450],[13,55
,84,1415,548],[32,291,692,867,350],[65,462,1063,1416,550],[1,1482,1154,787,
1660],[1,1482,1154,787,437],[65,463,1065,1416,550],[1,31,12,51,97],[1,31,12,51
,737],[192,110,776,427,916],[192,97,776,413,921],[305,158,1207,664,1498],[192,
110,776,427,922],[305,161,1207,673,1510],[327,258,1207,700,1534],[1229,714,
1519,386,879],[1229,711,1519,384,879],[307,1211,712,1517,1767],[307,1215,712,
1518,1761],[310,191,1285,690,1505],[368,371,1288,1302,1800],[77,25,1232,707,
1838],[67,25,1224,707,1837],[1754,1229,764,3,11],[3,8,305,1207,707],[1,109,134
,1238,1566],[3,24,192,776,446],[1224,65,713,1501,8],[1754,1229,764,962,1001],[
1754,1229,764,964,1003],[1754,1229,764,964,1002],[1754,1229,764,962,1004],[532
,1820,1010,1380,1633],[991,1473,582,1200,1452],[1,181,209,118,61],[192,1115,
1313,776,427],[3,24,44,8,192],[65,462,1063,1415,545],[3,8,1,24,791],[1224,1501
,1],[3,8,306,1208,1544],[3,24,44,8,791],[4,109,277,1292,706],[1,61,166,224,442
],[194,1115,1313,776,431],[109,134,330,1212,1567],[1229,1501,336],[192,1115,
1313,782,432],[192,1116,1320,786,429],[1,291,347,1220,692],[32,291,347,1223,
692],[14,1154,1354,787,433],[14,1154,1354,787,1656],[13,55,84,1147,1415],[3,24
,195,786,928],[1229,1501,1757,3],[1,12,181,209,118],[192,110,1115,1313,776],[3
,24,44,192,97],[3,24,44,192,1133],[3,8,1,791,930],[3,8,193,777,920],[3,24,44,
791,926],[3,24,195,786,916],[134,148,65,1238,724],[1,12,181,433,570],[65,171,
426,1028,1418],[13,55,91,1236,707],[192,110,1115,1313,786],[194,117,1115,1313,
785],[109,134,330,1212,1531],[194,117,1115,1313,776],[65,174,428,1031,1417],[
205,107,1115,1313,778],[3,8,118,284,1208],[1,12,1154,1354,787],[1,1482,1154,
787,1617],[1157,1360,789,1651,247],[109,404,1281,774,1539],[1,31,12,51,291],[
31,192,109,1115,1412],[1,31,12,291,698],[1754,1229,764,1001,11],[3,1229,1519,
764,882],[307,1211,712,1517,1761],[1,31,12,291,357],[109,404,1281,774,1536],[1
,109,138,1238,1566],[1754,1229,764,388,3],[1,31,12,97,267],[1,31,12,116,282],[
32,117,283,1207,683],[1,109,1174,1425,584],[1289,65,713,1501,8],[1,54,1146,
1415,547],[109,328,1208,725,1533],[1,54,1140,1415,547],[1224,65,26,1501,707],[
13,128,290,1207,684],[1,31,97,731,842],[1,31,12,97,731],[27,305,158,1207,666],
[1,31,12,116,731],[4,65,190,444,1049],[3,334,1281,746,1508],[27,192,776,453,
916],[1207,308,664,171,3],[1754,1229,764,384,3],[1,109,1174,1425,589],[3,65,
1151,1415,544],[1,61,1160,1415,557],[1,24,1174,1425,584],[307,159,1211,673,
1761],[77,1163,1420,551,1788],[3,65,462,544,305],[3,24,44,192,1115],[14,54,158
,413,570],[3,24,44,737,866],[27,41,14,737,866],[1,1482,1154,787,1613],[1,31,97
,267,350],[1,109,138,1238,1567],[1,25,98,1238,1569],[32,192,449,1053,1346],[
109,328,1208,725,1536],[109,327,1207,729,1533],[1,192,449,1053,1340],[27,305,
1207,708,1510],[32,192,449,1053,1317],[1229,713,1499,1758],[3,11,75,24,305],[3
,8,305,1207,1495],[3,8,65,1224,1544],[109,134,328,1208,1533],[1,109,137,1175,
1425],[1,61,1146,1415,557],[3,11,75,24,1224],[1,61,166,776,480],[24,97,327,
1207,1535],[1754,1229,384,3,11],[3,8,305,1207,1505],[1,31,97,731,838],[3,8,65,
1149,1415],[1229,335,764,3,11],[1,31,97,267,664],[3,8,65,1224,707],[3,24,192,
776,916],[1224,65,1501,707,8],[1224,65,26,1501,8],[3,8,1229,1524,767],[3,8,54,
305,1207],[32,116,282,347,1207],[3,59,305,1207,707],[32,192,117,1115,1393],[3,
28,192,776,448],[32,192,449,1053,1347],[3,24,192,776,448],[1,31,291,347,694],[
1229,711,335,3,11],[32,192,449,1053,1313],[32,116,282,1207,756],[14,1154,1408,
1663,570],[3,65,24,1224,709],[3,192,97,776,428],[1289,65,716,1501],[32,117,283
,1208,755],[27,192,776,454,917],[1229,1519,764,881,934],[1754,1229,764,1006,
971],[310,1285,712,1518,1771],[310,1235,712,1517,1773],[27,42,305,158,1207],[
32,192,116,1115,1393],[32,12,192,1115,1393],[27,42,192,776,916],[1,31,116,731,
858],[14,118,54,731,854],[1,109,138,1238,724],[32,192,116,1115,1394],[109,328,
1208,730,1536],[14,57,161,210,776],[27,42,192,776,917],[1289,65,1501,710],[3,
65,24,1145,1415],[1,122,1247],[1251,938],[15,11,1154,1354,1613],[15,11,181,433
,1036],[3,109,134,1247,899],[15,11,181,1115,1354],[15,181,212,1115,1316],[3,
109,134,1247,897],[15,181,209,1115,1313],[15,11,58,162,209],[15,11,181,209,
1127],[109,135,1247,897,806],[109,135,1247,897,807],[3,24,516,372,1106],[3,24,
516,372,323],[3,111,1247,897,813],[15,181,436,1039,1624],[15,11,1154,1408,1663
],[61,166,421,1023,1423],[15,181,433,1036,1354],[3,24,97,134,1247],[15,181,
1115,1354,1613],[15,181,436,1039,1357],[3,109,137,1247,902],[15,184,1118,1354,
1616],[15,11,181,1115,1408],[15,11,1154,1354,1629],[3,28,104,1247,897],[15,181
,436,1039,1354],[15,181,433,1036,1357],[3,8,109,1247,902],[3,24,97,1247,899],[
15,181,1115,1354,1616],[15,184,1118,1354,1613],[15,181,486,1085,1354],[3,8,109
,1247,912],[15,181,1115,1354,1637],[15,181,483,1082,1354],[3,8,109,139,1247],[
15,181,1115,1354,1634],[69,50,177,1115,1313],[15,11,58,162,418],[15,11,58,462,
1063],[3,109,1247,897,806],[15,181,209,1118,1386],[3,109,1247,897,814],[109,
135,1247,898,804],[3,109,1247,897,808],[3,109,1247,897,815],[109,135,1247,897,
800],[15,184,1118,1408,1659],[15,181,212,1115,1395],[15,181,212,1115,1396],[3,
28,104,1247,911],[15,184,1118,1354,1634],[15,181,1115,1408,1616],[15,184,1118,
1408,1613],[15,181,1115,1408,1613],[15,184,1118,1408,1656],[15,181,1115,1410,
1613],[15,11,1154,1354,1656],[15,184,1118,1354,1656],[15,181,1115,1357,1613],[
15,181,209,433,1039],[3,28,97,1247,899],[3,28,97,1247,897],[3,24,41,516,372],[
15,181,436,1039,1613],[15,11,181,1115,1613],[15,11,58,162,478],[109,137,1247,
897,800],[3,28,516,372,1105],[3,104,1247,897,808],[15,11,470,1076,1338],[15,
184,220,1118,1386],[15,11,1154,1408,1643],[15,184,1118,1408,1668],[15,181,1115
,1410,1643],[4,65,305,1207],[75,334,1281,1754],[66,306,1208,1519],[65,305,1207
,1520],[67,307,394,1209],[1,308,1211,1525],[1,308,1211,1527],[3,8,1249,821],[3
,24,1249,821],[3,8,1,1249],[3,24,44,1249],[3,8,517,326],[3,24,1249,825],[27,42
,1249,821],[27,1249,821,978],[3,1249,821,985],[27,1249,821,975],[27,1249,821,
987],[31,13,1249,976],[32,12,1249,988],[69,50,305,1207],[69,305,1207,707],[15,
118,500,287],[15,118,500,1194],[1,31,97,1247],[15,118,500,1196],[15,118,287,
1207],[181,209,1115,1313,787,1656],[238,181,1477,1115,795,433],[13,21,181,209,
120,1172],[13,55,462,1063,1421,1785],[13,55,462,1063,1421,1784],[186,215,1120,
1319,1651,247],[186,215,1120,1319,1651,248],[13,21,181,209,120,1125],[181,209,
1115,1313,788,1660],[3,24,291,347,195,104],[55,166,414,1023,1651,247],[13,55,
462,1063,1421,564],[181,209,1115,1313,788,437],[109,134,497,1095,1427,585],[3,
24,291,347,1222,693],[181,433,1036,1354,1613,570],[181,433,1036,1482,1714,571]
,[182,435,1039,1356,1616,571],[186,439,1043,1361,1618,573],[25,159,665,1513,
1761,392],[186,439,1043,1354,1613,573],[3,8,1,1154,1354,1613],[13,21,1154,1354
,787,1613],[3,8,1,181,433,1036],[13,21,4,181,209,1115],[12,54,158,224,1115,
1313],[3,24,44,97,267,664],[3,209,238,118,1115,1315],[181,209,1115,1313,787,
1613],[181,209,1115,1313,787,1614],[181,209,1115,1313,790,1613],[13,55,462,
1063,1421,1767],[55,166,414,1023,1360,1651],[186,215,1120,1319,796,1613],[3,11
,2,25,99,134],[54,158,1115,1313,776,475],[109,134,497,1095,1425,593],[109,254,
426,1028,1436,589],[13,21,4,181,209,1125],[13,181,209,128,63,1121],[3,181,209,
118,54,1117],[13,21,4,462,556,1063],[25,98,497,1095,1425,596],[109,134,497,
1095,1425,586],[109,260,459,1060,1425,591],[109,254,426,1028,1425,591],[25,98,
497,1095,1425,589],[13,181,433,577,223,1042],[3,8,1,296,696,848],[54,158,1115,
1313,780,477],[3,8,291,347,1220,695],[3,24,97,267,1210,750],[1501,1756,673],[1
,12,54,158,413,1016],[14,3,181,209,1115,1313],[1,109,134,252,413,1016],[109,
134,497,1095,1425,584],[109,134,65,256,1115,1313],[3,24,291,347,192,97],[13,21
,6,55,462,1063],[13,21,4,55,159,1115],[109,134,497,1095,1425,592],[27,97,267,
664,866,354],[3,181,433,570,211,1038],[61,166,224,82,1115,1317],[109,254,426,
1028,1436,584],[3,24,291,692,866,357],[13,55,91,21,462,1063],[109,252,413,1016
,1425,585],[109,254,426,1028,1425,585],[109,252,413,1016,1425,584],[13,21,6,
181,476,1074],[3,8,1,54,462,1183],[3,8,66,24,462,1063],[3,8,193,97,1115,1313],
[3,8,741,852,506,947],[3,1154,1354,787,435,1613],[3,1354,1154,835,433,1615],[3
,1154,1354,787,435,1615],[1509,1756,11],[3,8,1154,1354,787,433],[26,1501,1758]
,[3,1354,1154,835,433,1613],[159,421,1036,1421,548,1761],[13,21,6,1154,1408,
1663],[3,181,209,1115,1313,787],[13,55,159,414,1017,1421],[109,134,252,413,
1016,1427],[13,181,215,1115,1319,1651],[3,8,741,852,507,958],[14,181,433,1036,
1354,1613],[3,8,1,181,1115,1408],[3,8,1,741,848,952],[3,109,137,731,838,500],[
27,42,97,267,664,866],[3,24,44,8,291,357],[181,209,118,132,1115,1388],[3,8,1,
54,462,1188],[3,59,462,1063,1415,544],[3,24,44,104,731,855],[109,261,460,1061,
1425,590],[181,209,119,54,1115,1388],[109,261,460,1061,1426,590],[1,109,148,
254,1115,1313],[1,61,90,166,421,1023],[1,181,209,1115,1313,1613],[1,61,166,421
,1023,1354],[3,24,104,273,347,1207],[1,181,238,433,1036,1313],[1,181,209,1115,
1313,1617],[14,54,158,413,1016,1355],[14,181,209,434,1037,1313],[1,61,166,475,
1073,1313],[1,97,24,263,1115,1313],[1,97,24,263,461,1059],[1,12,181,209,1115,
1381],[1,109,137,252,413,1016],[3,11,2,25,99,297],[3,164,419,1021,1415,546],[
13,63,169,424,577,1074],[3,28,291,692,866,357],[3,59,462,1063,1415,546],[3,8,1
,181,475,1082],[3,8,1,467,1073,1334],[3,24,195,448,1052,1339],[181,209,121,434
,1037,1326],[1,109,146,254,1115,1313],[14,57,161,209,1115,1313],[1,109,146,254
,426,1028],[1,24,97,134,497,1095],[109,148,254,426,1028,1425],[54,158,209,1115
,1313,776],[3,8,1,741,848,958],[3,8,109,277,347,1208],[3,11,158,413,1016,1419]
,[3,24,44,97,267,747],[3,24,104,273,669,866],[13,21,55,462,1063,1485],[3,24,
104,731,838,500],[3,8,1,181,1115,1613],[14,181,433,1036,1354,1634],[1,181,483,
1082,1354,1613],[14,181,433,1036,1354,1621],[1,12,181,433,1036,1362],[1,12,181
,483,1082,1354],[3,104,273,347,1207,673],[3,24,192,97,1115,1387],[3,111,279,
353,1207,673],[14,3,181,1115,1354,1634],[14,181,433,1036,1354,1614],[14,181,
434,1037,1354,1613],[14,181,217,434,1037,1326],[14,181,433,1036,1354,1640],[3,
109,134,65,28,731],[3,8,1,109,731,860],[27,97,267,664,866,355],[1,181,433,1036
,1482,1640],[14,57,161,416,1019,1355],[1,61,188,442,1045,1332],[3,24,192,448,
1052,1334],[3,111,279,353,1207,676],[3,8,192,450,1054,1342],[3,24,192,446,1050
,1345],[1,181,213,1115,1317,1617],[3,104,273,347,1207,664],[1,181,213,433,1036
,1317],[3,65,175,428,553,1030],[3,65,158,413,544,1030],[1,54,158,480,1079,1313
],[3,111,279,351,1207,664],[3,24,192,446,1050,1315],[1,12,54,158,413,557],[14,
181,210,1115,1314,1613],[14,181,433,1036,1354,1622],[1,181,433,1036,1482,1638]
,[14,181,484,1083,1354,1613],[14,3,181,433,1036,1354],[14,3,181,475,1073,1324]
,[3,109,277,349,1207,676],[3,8,75,171,1115,1320],[3,75,24,158,1115,1315],[3,
111,279,349,1207,673],[3,111,279,347,1207,676],[14,54,158,209,1115,1314],[3,65
,171,426,546,1030],[3,27,100,273,1207,664],[3,27,100,273,1207,669],[3,75,24,
462,544,1063],[1,109,252,413,584,1016],[3,65,171,426,550,1028],[3,65,24,462,
560,1063],[14,3,181,209,433,1036],[1,54,158,209,413,1016],[1,12,181,1115,1354,
1613],[3,8,24,737,866,347],[14,3,181,217,1115,1381],[3,65,164,419,553,1028],[1
,181,217,437,1040,1329],[3,28,192,448,1052,1315],[3,24,97,273,1207,700],[1,181
,236,433,1036,1324],[14,181,217,433,1036,1324],[337,962,3],[3,8,1154,1408,1663
,572],[335,962,3,11],[3,8,24,97,297,1207],[3,65,164,419,546,1021],[3,75,27,164
,1115,1387],[3,109,137,273,1207,664],[3,11,65,158,1115,1381],[3,65,28,462,544,
1063],[3,28,192,446,1050,1313],[3,65,164,419,553,1021],[3,65,164,429,1030,1313
],[3,65,158,429,1030,1321],[14,181,219,1115,1384,1613],[3,111,279,353,1207,669
],[1,181,213,433,1036,1324],[14,57,161,475,1073,1355],[14,57,161,477,1075,1354
],[14,181,217,1115,1381,1614],[1,181,480,1079,1329,1617],[14,3,181,1115,1408,
1613],[14,181,475,1073,1324,1613],[14,54,158,477,1075,1354],[1,61,166,480,1079
,1358],[14,181,209,434,1037,1324],[27,100,270,347,1207,680],[3,8,1,1154,1408,
1640],[14,181,210,434,1037,1326],[14,57,161,477,1075,1355],[14,181,477,1075,
1326,1614],[14,57,161,475,1073,1354],[14,181,210,433,1036,1324],[14,54,158,210
,1115,1384],[3,104,273,347,1207,669],[14,181,483,1082,1354,1614],[14,181,433,
1036,1355,1621],[14,181,434,1037,1354,1634],[14,181,484,1083,1354,1614],[14,
181,217,1115,1381,1613],[14,181,219,1115,1384,1614],[14,181,434,1037,1355,1613
],[14,181,477,1075,1326,1613],[14,181,434,1037,1355,1640],[186,223,1120,1389,
1653,250],[186,223,1120,1389,1653,495],[186,223,1120,1389,1653,494],[186,223,
1120,1389,1653,251],[14,3,181,1115,1408,1640],[186,223,439,1043,1325,1671],[
186,223,439,1043,1329,1653],[13,181,223,1115,1389,1651],[3,1154,1408,1663,570,
489],[14,3,467,1073,1334,1676],[1,185,475,1079,1324,1617],[1,185,475,1079,1324
,1613],[1,12,467,1073,1334,1681],[13,1154,1408,1663,577,482],[13,181,481,1080,
1363,1651],[122,1247,913,812],[43,865,609,1780],[122,1247,913,811],[122,113,
1247,897],[43,865,609,1781],[15,11,516,1110],[69,797,607,520],[15,798,525],[75
,334,1281,3,11],[75,334,1281,673,171],[65,334,1281,731,1505],[75,334,1281,677,
174],[67,307,1209,1514,1767],[1,31,12,192,1138],[1,327,1207,728,1531],[1,327,
409,1207,695],[4,65,25,1226,1545],[1,31,12,791,931],[1,327,1207,728,1535],[
1754,1229,764,384,1],[1,31,12,51,192],[65,305,171,390,1207],[32,192,776,446,
924],[4,1290,1557,764,933],[75,334,1281,717,3],[1754,1229,1,3,11],[134,148,65,
327,1207],[312,1211,1,3],[32,192,1115,1313,776],[109,134,66,327,1207],[312,
1211,309,3],[1,109,134,329,1211],[1,31,291,692,866],[3,65,305,1207,711],[312,
1283,1756,11],[3,8,308,1211,1528],[312,1283,1757,3],[1229,1757,313],[1229,1757
,336],[1,31,192,446,1050],[3,65,305,384,1207],[1,109,138,327,1207],[1,109,327,
1207,1536],[1,109,327,1207,724],[1,31,192,1115,1317],[75,334,1281,765,11],[3,
65,305,1207,760],[312,1283,1499,1758],[3,308,1211,1525,395],[3,8,308,1211,1529
],[65,27,305,1207,708],[1,54,305,1207,707],[1,118,500,634,1102],[65,305,384,
1207,714],[4,65,25,1224,707],[4,65,1224,712,1513],[67,307,1209,712,1514],[4,65
,1149,1418,551],[75,405,1282,775,1533],[1,118,61,500,275],[1,327,1207,728,1533
],[1,55,305,1207,1503],[1,128,538,291,619],[1,54,305,1207,1495],[1,31,97,275,
1207],[4,65,25,1224,1496],[1,31,737,866,347],[4,65,25,1224,1513],[32,12,192,
776,923],[67,307,1209,1514,1787],[1,118,500,284,621],[1,31,192,1119,1404],[4,
65,25,1224,721],[3,8,309,1212,1527],[1229,1809,313],[1229,1809,1],[312,1283,
717,1756],[312,1283,1554,1754,11],[312,1283,711,1756],[3,308,1211,1525,762],[
312,1283,713,1497,1754],[312,1283,713,1501,1754],[341,1284,735,1607,395],[310,
392,191,1217,690],[312,1283,1554,1806,11],[3,308,1211,1527,762],[1250,827],[8,
741,848,947,526],[3,8,24,1249,975],[6,20,17,54],[41,45,101],[57,46,1143],[41,
45,738],[1435,635,82],[996,663,1243,1560],[549,1804,1169],[996,663,1243,583],[
549,1804,227],[745,1459,1735],[1734,1821,402],[1742,871,527],[6,20,17,1154],[
1258,1308,3],[1829,1826,109],[888,1129,1739],[996,663,1243,1572],[549,1804,
1157],[1186,1804,264],[8,11,1,1247,897],[8,11,1,1247,909],[3,24,44,516,372],[3
,24,44,516,1109],[15,11,291,347,1220],[15,1154,1354,787,1616],[15,11,1154,1354
,787],[15,181,209,118,1115],[3,24,44,97,1247],[15,1154,1354,787,1613],[3,8,118
,1247,897],[3,24,44,8,516],[8,11,1,98,1247],[3,24,44,104,1247],[15,1154,1354,
787,433],[15,1154,1354,787,1656],[15,181,209,787,433],[3,8,1,516,375],[3,24,44
,516,373],[3,24,44,516,1111],[15,1154,1354,787,1659],[15,1154,1354,787,436],[
109,134,66,1247,902],[15,11,58,305,162],[15,11,58,1224,1546],[15,11,470,570,
1076],[1,12,321,238,722],[15,11,58,1224,707],[15,11,470,570,209],[1,1179,1433,
655,644],[15,118,287,686,838],[1,12,54,1247,897],[15,11,508,284,1194],[38,202,
446,1050,1313],[3,65,797,607,522],[1,109,1247,897,800],[15,11,508,624,1103],[
15,11,192,1115,1401],[15,118,287,686,841],[4,25,98,1259,910],[3,118,1247,897,
804],[3,118,1247,897,800],[69,50,33,1140,1415],[15,1154,1408,1663,570],[1,31,
12,1249],[1,1249,821,975],[32,1249,821,989],[32,1249,822,989],[1,1249,823,975]
,[1,31,1249,975],[1,31,1249,988],[1,1249,821,982],[32,1249,821,988],[31,13,
1249,821],[32,12,1249,821],[13,21,181,433,1036,1354,1613],[13,21,181,209,1115,
1313,1613],[3,8,181,209,433,1036,1313],[3,59,164,419,1021,1354,1613],[13,63,
169,424,1026,1354,1619],[3,54,158,413,1016,1354,1613],[3,181,209,462,1063,1313
,1613],[13,55,159,215,414,1017,1372],[13,181,209,433,1036,1313,1619],[13,181,
215,433,1036,1319,1619],[3,181,211,433,1036,1315,1613],[3,181,209,435,1038,
1313,1613],[13,62,168,215,247,1121,1319],[3,8,181,433,1036,1354,1634],[3,8,109
,301,703,848,954],[13,55,159,215,414,1017,1319],[54,158,209,413,1016,1313,1613
],[54,158,209,413,1016,1313,1614],[54,158,210,413,1016,1314,1614],[27,100,135,
270,666,839,947],[54,158,210,416,1019,1314,1615],[13,63,159,424,1026,1319,1815
],[13,21,55,462,544,1063,1767],[13,21,55,462,1063,1313,1814],[13,55,159,215,
493,1094,1374],[3,181,237,433,1036,1328,1625],[13,63,169,209,424,1026,1313],[3
,54,158,413,1016,1481,1634],[13,181,209,433,1036,1313,1627],[13,181,215,433,
1036,1319,1627],[13,55,159,414,1017,1354,1639],[3,181,211,433,1036,1315,1625],
[3,181,209,462,1063,1313,1625],[13,21,55,159,414,1017,1354],[13,21,55,159,209,
414,1017],[3,28,104,136,273,669,840],[3,59,164,419,1021,1354,1636],[3,28,104,
273,669,848,954],[3,181,221,433,1036,1328,1615],[13,181,223,433,1036,1331,1613
],[3,109,137,279,676,845,947],[3,8,181,433,1036,1354,1621],[13,55,159,215,247,
423,1025],[13,55,159,215,423,1025,1372],[3,181,221,435,1038,1324,1613],[3,181,
217,433,1036,1324,1621],[3,181,217,433,1036,1324,1625],[3,8,181,217,433,1036,
1324],[13,21,181,433,1036,1354,1641],[3,8,54,158,475,1073,1354],[3,54,158,209,
419,1021,1313],[13,21,181,218,1115,1382,1613],[13,21,181,476,1074,1325,1613],[
15,11,1249,980],[181,209,118,1115,1313,776],[109,134,65,497,1095,1425],[13,55,
84,462,1063,1415],[3,24,44,291,347,1220],[109,134,65,497,1095,1426],[3,8,66,
462,1063,1416],[209,238,230,1115,1313,777],[181,209,203,1115,1313,777],[3,8,1,
741,852,506],[186,215,1120,1319,789,1651],[1,31,12,51,291,347],[4,65,25,92,462
,1063],[1754,1229,764,1001,3,11],[14,181,209,118,1115,1313],[1,109,134,497,
1095,1425],[1,134,148,65,497,1095],[3,24,44,97,267,1207],[3,8,1,24,192,97],[65
,171,426,1028,1415,544],[1,134,148,65,54,1174],[192,110,1115,1313,776,413],[1,
12,181,209,118,1124],[3,24,44,8,192,1133],[65,174,427,1029,1485,545],[1,12,54,
158,224,1131],[3,24,44,104,500,1099],[1,181,433,570,222,1040],[1,12,181,433,
570,1073],[32,117,731,838,500,283],[109,134,65,1175,1425,586],[13,21,307,1209,
720,1512],[13,55,91,21,1236,1545],[32,12,291,692,866,363],[3,24,44,739,866,349
],[3,24,195,786,448,916],[3,8,1,1142,1415,544],[3,8,1,24,192,446],[65,24,462,
1063,1415,560],[1,54,462,1063,1415,544],[1,54,158,413,570,213],[192,110,1115,
1313,776,428],[14,3,1154,1354,787,433],[1,258,450,1054,1486,589],[75,174,428,
1031,1430,551],[3,8,1,1142,1419,550],[1,109,134,1174,1427,585],[1229,711,1611,
336],[109,134,330,1212,725,1531],[14,1154,1354,787,434,1614],[14,1154,1354,787
,433,1614],[14,3,1154,1354,787,1656],[3,8,1,24,791,446],[27,41,192,97,780,416]
,[3,24,44,8,791,446],[65,171,426,1028,1416,550],[204,97,1115,1313,781,421],[1,
181,209,1115,1313,787],[1,109,134,497,1095,1427],[3,24,192,97,776,413],[4,65,
25,190,444,1048],[109,134,327,253,1207,665],[37,202,113,243,1115,1313],[1,109,
134,1174,1425,584],[3,65,24,1140,1415,544],[1,31,12,51,291,357],[3,1229,715,
1519,387,880],[1207,305,160,1499],[3,334,273,1281,669,1495],[3,192,104,776,419
,920],[109,327,261,1207,703,1535],[3,118,284,1207,684,1721],[3,118,286,1207,
684,1721],[3,1229,711,1519,384,880],[3,1229,1519,764,881,937],[1754,1229,764,
962,1004,3],[1207,305,1501,707,3],[1,31,12,97,267,347],[1289,65,26,1501,3],[32
,116,282,350,1207,683],[24,97,327,259,1207,700],[3,24,192,776,446,919],[3,8,
1229,711,1519,384],[1207,305,160,1501,8],[3,118,284,1207,684,1723],[3,192,111,
776,428,916],[3,118,54,500,267,1195],[3,118,286,1207,684,1722],[3,128,293,1281
,699,1723],[3,192,97,776,413,920],[3,118,284,1207,684,1720],[3,118,284,1207,
684,1722],[3,1229,711,1519,384,878],[307,159,1211,673,1513,1761],[1,181,209,
118,433,1036],[3,24,44,192,1115,1315],[1,134,148,65,497,1191],[3,24,44,8,192,
1115],[3,24,44,104,273,1207],[1,181,433,570,222,1036],[3,192,1115,1313,776,426
],[1,254,426,1028,1436,584],[3,8,1,24,737,866],[32,116,282,682,866,347],[1,
1354,1154,835,433,1613],[8,11,10,109,137,500],[1,61,166,224,1115,1400],[3,192,
104,1115,1313,776],[3,24,44,192,1115,1401],[3,65,462,1063,1485,566],[3,134,148
,65,500,1101],[3,65,462,1063,1485,565],[3,65,462,1063,1415,550],[1,181,433,570
,213,1036],[3,192,1115,1313,776,446],[3,8,1,192,1115,1334],[1,61,166,421,570,
213],[32,116,282,682,866,350],[1,1354,1482,787,694,1613],[61,82,31,1140,1415,
547],[3,192,109,1115,1313,776],[3,24,44,192,446,1050],[3,65,171,426,1028,1415]
,[1,54,166,421,1023,1415],[27,41,14,192,1115,1334],[3,192,97,1115,1313,776],[3
,24,44,192,1115,1334],[24,97,267,364,1207,664],[3,8,1,741,866,347],[3,24,44,
737,866,347],[14,3,1154,1354,787,1613],[3,24,44,192,1115,1402],[1,181,209,118,
1115,1397],[3,24,44,192,1115,1381],[1,209,238,118,1115,1388],[37,202,113,244,
1115,1381],[109,137,404,1281,774,1538],[24,97,148,327,1207,724],[1,61,82,1146,
1415,547],[109,137,404,1281,774,1533],[109,146,404,408,1207,673],[32,117,283,
350,1207,683],[3,59,305,1207,707,1502],[37,39,192,97,1115,1381],[2,109,137,
1174,1425,584],[3,54,305,1207,707,1516],[109,134,404,1281,774,1538],[3,1229,
1519,764,881,936],[1754,1229,764,1005,970,3],[1224,65,26,1499,707],[2,109,137,
1174,1425,585],[31,109,277,351,1207,664],[109,137,327,1207,725,1531],[1,12,192
,446,1050,1313],[1,31,97,267,350,664],[3,65,24,1140,1415,546],[1289,65,713,
1501,3],[3,65,28,1140,1415,544],[32,117,283,347,1208,682],[3,24,192,776,448,
916],[1,31,116,282,347,683],[1207,308,664,171,3,11],[1,1154,1752,1408,570,489]
,[1754,1229,764,384,963,1004],[532,616,346,397,1091,1839],[1229,711,1519,384,
878,935],[1229,711,1519,384,878,934],[1746,662,872,582,1114,1698],[991,662,
1473,582,1114,1451],[3,8,24,192,776,916],[3,8,65,24,1140,1415],[32,12,116,282,
347,1207],[3,8,24,192,97,776],[14,3,1154,1408,1663,570],[1,1154,1752,1408,570,
492],[1,122,1247,908],[1,122,90,1247],[1,122,1247,1726],[15,11,181,209,1115,
1313],[15,181,433,1036,1354,1613],[15,11,58,162,418,1020],[3,8,109,1247,897,
806],[3,8,109,1247,897,815],[15,181,209,1115,1313,1616],[15,181,209,436,1039,
1313],[15,181,209,1115,1313,1613],[15,181,209,433,1036,1313],[61,166,421,1023,
1423,650],[61,166,421,1023,1650,651],[15,181,433,1036,1354,1637],[15,181,486,
1085,1354,1613],[15,11,181,433,1036,1365],[3,109,136,1247,897,800],[3,109,136,
1247,897,808],[3,109,134,1247,897,808],[3,24,97,1247,897,804],[3,8,109,1247,
897,800],[15,11,181,433,1036,1354],[3,8,24,97,1247,897],[15,11,181,1115,1354,
1613],[15,181,212,433,1036,1316],[3,24,97,134,1247,899],[15,181,212,1115,1316,
1613],[15,181,212,436,1039,1316],[3,28,104,148,1247,899],[15,181,212,1115,1316
,1616],[15,181,433,1036,1354,1634],[15,181,483,1082,1354,1613],[15,11,181,483,
1082,1354],[3,28,104,148,1247,897],[15,11,181,1115,1354,1634],[15,11,181,478,
1076,1327],[15,11,181,220,1115,1386],[15,11,58,162,478,1076],[15,11,58,162,
1115,1386],[15,181,433,1036,1354,1616],[15,181,436,1039,1354,1613],[3,109,137,
1247,897,804],[3,109,140,1247,897,800],[3,28,104,1247,897,813],[15,181,486,
1085,1354,1616],[15,181,436,1039,1354,1634],[15,181,483,1082,1354,1616],[15,
181,436,1039,1354,1624],[15,181,436,1039,1357,1613],[15,11,181,1115,1408,1613]
,[15,181,436,1039,1354,1643],[15,181,433,1036,1357,1643],[12,54,158,413,1016,
1423],[15,181,436,1039,1357,1624],[15,11,181,1115,1408,1643],[24,97,134,1247,
897,802],[24,97,135,1247,897,800],[3,24,104,1247,897,804],[24,97,134,1247,897,
800],[15,184,220,1118,1386,1616],[15,11,470,1076,1338,1681],[15,184,220,1118,
1386,1613],[15,11,470,1076,1338,1676],[4,65,305,1207,712],[75,334,1281,1549,
1754],[65,305,1207,1519,765],[4,65,25,305,1207],[4,65,305,1207,1513],[1,65,305
,1207,760],[75,334,1281,1754,11],[312,1283,384,1755,1],[65,305,1207,1519,386],
[65,305,1207,1520,384],[65,305,1207,711,1519],[67,307,393,1209,712],[1,308,
1211,1525,760],[4,308,1211,712,1526],[4,308,1211,1527,760],[968,1269],[1448,
1293],[1154,1354,1613,826,570],[1154,1354,1613,826,571],[3,8,1249,821,983],[3,
24,1249,821,975],[1,1154,1354,1613,826],[3,8,1,1249,983],[3,24,44,1249,975],[3
,24,44,8,1249],[8,11,1,25,1249],[3,8,1,1249,975],[3,24,44,1249,981],[3,8,1249,
822,983],[3,24,1249,825,975],[27,42,1249,821,975],[3,24,1249,821,986],[27,41,
1249,821,978],[3,8,24,1249,821],[27,42,1249,821,978],[86,145,1],[1829,1826,1],
[6,20,17,508],[41,45,791],[888,1129,1],[1274,1305,1],[1,148,109,65,1247],[1,31
,516,372,1105],[69,50,305,1207,718],[69,305,1207,707,1511],[69,305,180,1207,
681],[15,118,500,284,1194],[1,31,12,97,1247],[69,50,305,1207,707],[69,305,1207
,707,1515],[1,31,12,516,378],[1,31,97,1247,900],[1,31,116,1247,900],[1,31,516,
374,1107],[1,31,116,1247,897],[1,31,97,1247,897],[1,31,516,372,322],[1,31,516,
372,325],[1,31,1249,821],[181,433,1036,1354,1613,570,209],[13,55,159,215,247,
84,1121],[61,166,421,611,635,242,1044],[3,8,1,181,209,1115,1313],[181,209,1115
,1313,787,433,1613],[13,21,181,209,120,55,1170],[181,209,1115,1313,787,434,
1613],[181,209,1115,1313,787,434,1614],[109,134,731,838,504,280,948],[181,209,
1115,1313,787,434,1616],[13,55,462,1063,1421,548,1767],[55,166,414,1023,1360,
1651,247],[55,166,414,1023,1361,1651,248],[13,55,462,1063,1421,564,1761],[181,
209,1115,1313,788,437,1613],[13,21,181,209,1115,1313,789],[3,8,109,134,731,838
,506],[13,21,181,209,1115,1313,1651],[3,8,1,54,158,413,1016],[3,8,181,209,118,
433,1036],[13,55,91,21,159,414,1017],[109,134,253,414,1017,1425,584],[3,8,741,
852,506,277,947],[3,8,181,209,118,1115,1395],[1,61,166,421,1023,1354,1613],[1,
61,90,181,433,544,635],[8,109,134,731,838,506,947],[3,109,134,731,838,504,960]
,[13,55,159,414,1017,1421,1784],[13,181,215,1115,1319,1651,249],[13,181,215,
1115,1319,1651,247],[13,21,181,209,120,1115,1325],[13,21,181,209,120,55,1115],
[13,55,159,414,1017,1421,548],[109,134,252,413,1016,1427,585],[14,3,181,433,
1036,1354,1613],[14,57,161,416,1019,1354,1613],[1,61,166,421,611,648,1044],[54
,158,413,1016,1354,1613,570],[54,158,413,1016,1354,1613,574],[181,433,1036,
1354,1613,570,217],[181,433,1036,1482,1613,614,217],[182,435,1039,1357,1614,
571,221],[182,435,1039,1356,1616,571,221],[181,433,1036,1355,1615,571,217],[3,
8,1,181,217,1115,1381],[13,21,4,181,218,1115,1395],[11,3,1,181,433,1036,1354],
[3,8,1,109,731,848,947],[13,21,4,181,209,433,1036],[12,54,82,158,413,1016,1415
],[3,8,6,181,483,1082,1354],[13,21,4,181,209,1115,1395],[3,8,1,109,731,848,954
],[13,181,433,1036,1354,1613,577],[13,21,4,181,476,1074,1325],[3,109,134,65,
277,673,843],[3,59,164,419,570,211,1021],[11,3,1,181,433,1036,1362],[3,8,161,
1477,1115,776,413],[109,148,254,426,1028,1425,584],[3,8,54,158,413,570,1073],[
3,28,97,267,664,866,349],[3,28,97,267,664,866,347],[12,54,90,462,1063,1415,560
],[3,24,44,8,291,347,692],[12,54,188,441,1044,1415,557],[12,54,188,441,1044,
1415,544],[54,158,210,1115,1313,776,413],[3,8,100,897,731,500,277],[3,54,164,
1115,1313,776,419],[3,8,27,291,347,1220,692],[3,11,158,413,1016,1419,550],[1,
12,54,158,209,1115,1313],[1,12,54,90,158,413,1016],[1,12,181,209,1115,1313,
1613],[1,12,181,209,433,1036,1313],[1,12,54,158,413,1016,1354],[1,12,54,158,
475,1073,1313],[3,59,164,1115,1313,776,419],[3,28,104,273,669,866,347],[14,181
,219,433,1036,1326,1621],[14,181,219,433,1036,1326,1622],[1,181,213,433,1036,
1317,1621],[1,54,158,413,1016,1354,1638],[14,181,217,433,1036,1324,1613],[3,8,
1,54,158,1115,1407],[3,109,137,897,731,500,279],[14,181,209,433,1036,1313,1622
],[1,61,166,421,1023,1354,1638],[1,54,158,209,413,1016,1313],[14,54,158,210,
413,1016,1314],[3,24,106,273,347,1207,669],[1,54,158,413,1016,1354,1617],[1,
181,213,433,1036,1317,1617],[1,61,188,442,1045,1332,1759],[3,54,158,1115,1313,
776,419],[13,21,4,55,159,209,1115],[3,181,209,118,435,1038,1315],[11,3,1,109,
269,665,848],[13,21,4,181,209,1115,1325],[27,41,97,267,664,866,348],[3,24,44,
97,267,349,664],[1,181,209,433,1036,1313,1617],[1,61,166,421,1023,1354,1617],[
1,181,209,437,1040,1313,1613],[1,12,181,433,1036,1354,1634],[1,12,181,433,1036
,1354,1621],[14,3,181,483,1082,1354,1613],[14,181,209,433,1036,1313,1621],[14,
54,158,413,1016,1354,1634],[1,54,158,213,413,1016,1317],[14,57,161,416,1019,
1354,1634],[1,181,213,433,1036,1317,1626],[14,181,217,433,1036,1324,1621],[14,
181,219,433,1036,1326,1613],[14,3,181,433,1036,1354,1640],[11,3,1,181,1115,
1408,1640],[11,3,1,181,1115,1408,1613],[1,61,166,209,421,1023,1313],[14,181,
219,433,1036,1326,1614],[14,181,217,433,1036,1324,1614],[14,181,217,433,1036,
1324,1622],[1,12,181,217,433,1036,1324],[3,181,209,1115,1313,787,1613],[3,181,
209,1115,1313,787,1615],[13,55,159,414,1017,1360,1651],[27,42,97,267,348,1207,
664],[14,3,181,209,433,1036,1324],[1,12,181,475,1073,1324,1613],[1,54,158,213,
421,1023,1317],[27,41,100,270,348,1207,666],[14,181,217,434,1037,1326,1613],[3
,24,97,267,347,1207,679],[3,8,109,277,347,1207,664],[3,8,1,467,1073,1334,1676]
,[27,42,97,267,347,1207,666],[14,3,181,217,1115,1381,1613],[14,181,219,434,
1037,1324,1613],[3,24,41,192,97,1115,1381],[3,8,1,467,1073,1334,1681],[186,223
,439,1043,1325,1671,250],[186,223,439,1043,1329,1653,250],[186,223,439,1043,
1329,1653,251],[186,223,439,1043,1325,1671,251],[13,181,223,1115,1389,1651,247
],[13,181,223,1115,1389,1651,496],[13,181,223,439,1042,1325,1651],[3,8,1154,
1408,1663,572,489],[384,337,962,3],[3,8,1154,1408,1663,570,489],[13,62,168,481
,1080,1360,1651],[152,148,1247,897,811],[122,1247,908,818,1726],[122,1247,908,
818,1729],[122,1247,908,812,1726],[43,23,865,607,1761],[122,1247,908,812,1731]
,[15,11,102,1247,897],[15,11,1249,821],[1754,1229,764,335,962,1001],[1229,1519
,764,881,937,313],[1290,1606,770,885,932,338],[310,1214,712,1517,1769,392],[
310,1217,712,1518,1763,392],[1754,1229,764,336,964,1002],[1754,1229,764,337,
964,1003],[1,31,12,51,192,97],[1,31,12,51,192,1133],[65,305,171,390,1207,673],
[65,305,171,390,1207,675],[4,65,25,92,1224,1545],[65,305,171,391,1207,675],[2,
1291,712,1519,384,878],[75,334,1281,673,171,11],[1,109,327,410,1207,700],[1,
109,404,1281,731,1531],[1,109,404,1281,731,1535],[1,31,192,116,1115,1317],[3,8
,1,305,1207,707],[1754,1229,764,1,3,11],[1,31,12,291,347,1220],[32,192,117,
1115,1313,776],[1,109,134,329,1211,1531],[4,65,25,462,1063,1418],[3,8,65,305,
1207,711],[1,109,134,327,1207,724],[1,31,192,116,1115,1313],[1,134,148,65,54,
1238],[32,192,1115,1313,776,432],[32,193,1115,1313,776,432],[109,134,65,327,
1207,1533],[1,134,148,65,327,254],[1,65,462,1063,1415,565],[1,31,291,692,866,
363],[1754,1229,384,1,3,11],[65,27,305,161,1207,666],[1,12,118,500,284,617],[1
,12,118,500,284,1194],[2,25,327,1207,727,1531],[1,12,118,284,1207,684],[67,307
,1209,712,1514,1767],[32,12,192,776,446,923],[4,65,25,1141,1418,544],[1,109,
138,327,1207,724],[1,109,327,1207,730,1531],[1,25,98,134,327,1207],[1,109,134,
327,1207,1533],[109,134,65,327,1207,726],[3,24,44,192,776,448],[1229,711,335,1
,3],[1,31,291,347,1220,694],[32,192,1115,1313,776,449],[312,1211,711,309,3],[
32,192,1115,1313,777,449],[3,65,305,171,387,1207],[75,334,1281,29,1499,8],[3,
65,28,305,164,1207],[1,31,12,192,455,1057],[3,65,305,171,1207,763],[3,8,1,54,
305,1207],[3,24,44,8,192,776],[109,134,66,24,327,1207],[1,134,148,65,1176,1425
],[32,192,1115,1313,777,431],[1,25,98,327,1207,724],[3,65,305,384,1207,711],[1
,109,138,327,1207,725],[1,31,192,449,1053,1346],[1,109,404,1281,731,1537],[3,
65,305,171,391,1207],[1,31,12,97,267,1207],[3,65,334,1281,731,1495],[1,31,116,
282,1207,682],[1,25,98,327,1207,729],[3,65,305,384,1207,715],[4,1290,1557,764,
933,965],[1229,1605,1813],[1229,1711,1810],[312,1283,1554,1756,11],[312,1283,
1501,1756],[1,31,12,97,500,282],[1,31,12,116,500,267],[1,118,284,1207,684,1725
],[1,118,288,1207,684,1725],[65,334,342,1207,666,1508],[75,334,1281,1501,677,
174],[4,65,25,1162,1418,559],[4,65,25,1141,1418,559],[1,118,61,500,275,1194],[
1,118,284,1207,684,1722],[4,65,25,92,1141,1418],[1,31,116,731,838,500],[3,24,
44,192,97,776],[1,118,61,731,838,500],[3,8,1,65,1149,1415],[109,134,65,328,
1208,1566],[4,65,190,444,1048,1418],[1,134,148,65,1238,724],[1,31,12,51,192,
446],[1,12,118,500,284,1197],[32,12,192,776,446,924],[1,31,116,282,1207,755],[
3,65,24,305,1207,1502],[3,65,305,175,384,1207],[1,31,192,446,1050,1334],[3,8,
308,1211,1527,760],[312,1283,1501,1757,3],[1754,1229,384,336,3,11],[1229,386,
1757,313],[3,8,309,1216,1558,769],[3,8,309,1212,1527,768],[3,8,1,1229,1522,770
],[3,308,1211,711,1525,396],[3,8,308,1211,711,1525],[312,1283,716,1501,1758],[
312,1283,713,1501,1758],[3,308,1211,715,1525,396],[1,1229,1519,764,881,934],[
1754,1229,711,337,3,11],[1229,711,1810],[3,8,1154,1354,1613,826],[6,20,17,181,
209],[6,20,17,1154,1354],[1461,1492,109,134],[6,20,17,181,1115],[6,20,17,181,
433],[1308,1115,3,111],[41,45,291,692],[1444,1247,109,301],[6,20,17,181,1167],
[41,45,291,358],[6,20,17,54,158],[57,46,3,1140],[1258,1308,3,295],[1313,1440,3
,510],[1258,1308,109,297],[1258,1308,109,267],[1258,1308,110,279],[41,45,101,
731],[41,45,291,749],[745,1459,284,1733],[549,1804,227,1157],[1442,1232,515,
1786],[3,8,1,1247,897,800],[15,11,181,209,118,1127],[3,24,44,516,372,323],[3,
24,44,516,372,1106],[8,11,10,109,134,1247],[15,181,209,1115,1313,787],[6,20,17
,1154,1408],[347,628,3,1021],[347,940,3,28],[3,8,1,109,1247,910],[3,109,134,65
,1247,897],[3,24,44,97,1247,897],[15,11,1154,1354,787,1613],[3,11,2,25,99,1247
],[3,24,44,8,97,1247],[15,1154,1354,787,433,1613],[15,181,209,118,1115,1396],[
3,109,134,65,1247,902],[3,24,44,97,1247,899],[15,1154,1354,787,436,1613],[8,11
,10,109,137,1247],[1,61,166,421,1023,1423],[3,8,65,797,607,521],[3,24,44,104,
1247,899],[3,24,44,104,1247,897],[15,181,433,570,209,1039],[3,8,1,97,1247,902]
,[3,8,1,97,1247,897],[3,24,44,8,516,372],[15,11,1154,1354,787,433],[15,11,1154
,1354,787,1656],[15,1154,1354,787,436,1616],[15,1154,1354,787,433,1616],[3,8,
119,54,1247,897],[3,8,1,516,372,1105],[109,134,65,1247,898,804],[15,11,58,462,
1063,1415],[3,24,44,516,372,322],[13,128,63,1259,897,801],[3,65,28,1247,897,
804],[15,11,102,272,1207,668],[15,11,58,1144,1415,544],[15,11,192,446,1050,
1338],[13,21,128,55,1259,897],[15,11,102,272,347,1207],[15,11,1154,1408,1663,
570],[1,65,305,1207,1519],[1,31,12,1249,988],[1,31,12,1249,975],[1,31,12,51,
1249],[3,24,44,1249,821],[3,8,1,1249,821],[1,24,1249,821,975],[32,12,1249,821,
988],[3,8,54,158,413,1016,1354,1613],[13,21,55,159,209,414,1017,1313],[3,8,181
,238,462,1063,1313,1613],[13,21,55,159,209,493,1094,1372],[3,28,104,134,273,
669,838,947],[13,21,181,218,433,1036,1325,1613],[3,54,158,239,413,1016,1315,
1615],[13,55,159,215,247,414,1017,1319],[3,59,164,212,419,1021,1315,1613],[3,
59,164,212,419,1021,1315,1615],[3,8,57,161,416,1019,1481,1634],[3,8,181,209,
433,1036,1313,1621],[3,8,181,217,433,1036,1324,1621],[13,21,55,159,209,414,
1017,1372],[13,21,55,159,209,247,414,1017],[15,1154,1354,1613,826],[181,209,
118,1115,1313,776,433],[13,21,4,181,209,118,1125],[3,24,44,291,347,192,104],[
13,55,84,462,1063,1415,548],[13,55,84,462,1063,1415,564],[148,109,65,497,1095,
1425,585],[134,148,143,497,584,328,1096],[209,238,203,1477,1115,777,437],[3,24
,195,1115,1313,776,448],[109,134,66,497,1095,1425,585],[109,134,66,497,1095,
1426,585],[181,209,118,1115,1313,776,1613],[181,209,118,1115,1313,776,1614],[
209,238,203,1477,1115,777,1613],[13,55,84,462,1063,1415,1767],[13,55,84,462,
1063,1415,1761],[186,215,1120,1319,789,1651,247],[181,209,119,1115,1313,777,
1660],[1754,1229,764,962,1001,3,11],[3,181,209,118,1115,1313,776],[13,55,84,
159,414,1017,1415],[148,109,65,252,413,1016,1425],[3,8,1,741,852,506,958],[1,
109,134,497,1095,1425,592],[1,109,134,65,78,497,1095],[27,41,14,192,100,1115,
1313],[1,61,166,224,83,421,1023],[3,8,6,163,1115,1313,776],[11,3,1,462,1063,
1415,544],[8,3,2,158,414,1018,1415],[181,209,118,54,1115,1313,780],[8,3,2,158,
414,1018,1419],[3,8,66,462,1063,1415,544],[148,109,65,497,1095,1426,592],[3,11
,76,24,462,1063,1415],[3,24,44,291,347,192,692],[3,24,44,104,731,838,500],[13,
55,91,169,424,1026,1421],[13,55,84,21,462,1063,1415],[8,11,10,462,544,308,171]
,[13,21,4,1154,1354,787,433],[3,8,1,741,852,506,947],[3,8,1,192,109,1115,1313]
,[1,109,134,65,252,413,1016],[3,24,44,192,97,1115,1313],[1,12,54,158,224,413,
1016],[1,238,181,1477,1115,795,1656],[1,238,181,1477,1115,795,433],[3,8,65,462
,1063,1416,560],[3,8,192,1477,1115,776,426],[11,8,2,65,158,414,1016],[3,8,65,
462,1063,1415,544],[3,24,97,267,364,134,1207],[1,238,181,1477,1115,795,1660],[
1,238,181,1477,1115,795,437],[1,109,134,497,1095,1427,585],[1,12,181,209,1115,
1313,787],[3,24,192,97,1115,1313,786],[1,181,433,1036,1354,1613,570],[3,8,118,
284,1207,684,1722],[3,24,192,97,776,413,916],[109,148,327,408,1281,673,1533],[
3,24,192,104,776,419,919],[3,8,1229,711,1519,384,878],[3,28,104,273,364,1207,
669],[11,3,1,109,301,1207,703],[1,12,181,209,118,1115,1324],[1,181,209,118,54,
1115,1317],[1,181,238,128,107,1115,1317],[1,24,97,497,1095,1425,584],[1,12,54,
462,1063,1415,560],[1,12,54,158,224,82,1115],[1,12,54,158,224,441,1044],[1,54,
166,421,1023,1415,547],[3,24,44,97,273,1207,664],[65,24,161,416,1019,1429,544]
,[3,65,171,426,1028,1485,546],[3,75,175,428,1030,1488,544],[1,61,166,224,83,
1115,1317],[3,192,109,1115,1313,776,426],[3,192,97,1115,1313,776,426],[3,65,
171,1115,1313,776,413],[3,8,1,97,267,1207,664],[3,24,44,8,97,500,267],[13,55,
91,21,1141,1421,544],[90,61,31,12,1140,1415,544],[14,3,1154,1354,787,433,1613]
,[1,61,166,1115,1313,776,480],[3,8,1,97,267,347,1207],[1,109,254,426,1028,1436
,589],[1,109,134,497,1095,1425,593],[3,8,1,192,97,1115,1381],[3,65,28,462,1063
,1415,562],[1,109,137,654,497,327,1096],[2,109,137,497,1095,1425,585],[3,24,44
,104,273,1207,750],[1,109,148,75,255,440,585],[2,61,181,246,441,1044,1317],[1,
24,97,497,1095,1425,595],[1,109,134,65,252,413,585],[1,181,209,118,457,1053,
1317],[1,134,148,143,497,585,1096],[3,28,104,273,364,1207,700],[3,8,65,24,462,
1063,1415],[3,24,97,267,364,1207,669],[3,8,1,192,446,1050,1313],[3,24,192,104,
1115,1313,776],[1,61,181,262,442,1045,1332],[8,3,2,24,98,298,1207],[3,28,192,
1115,1313,776,446],[3,24,44,192,104,1115,1381],[3,8,1,109,277,347,1207],[1,109
,148,254,426,1028,1425],[1,61,166,1115,1313,776,475],[1,181,209,118,457,1053,
1313],[3,24,97,267,364,1207,702],[1,109,134,497,1095,1425,585],[1,238,181,1477
,1115,795,1613],[1,181,238,128,107,1115,1388],[1,109,261,460,1061,1425,584],[3
,192,104,1115,1313,776,426],[2,61,83,462,1063,1415,544],[1,24,97,497,1095,1425
,589],[1,61,181,262,442,1045,1317],[1,181,238,128,446,1058,1317],[11,3,1,109,
298,1207,673],[3,65,171,426,1028,1485,553],[3,65,171,1477,1115,776,419],[1,238
,181,1477,1115,795,1617],[1,97,24,263,461,1059,1425],[1,54,158,213,1115,1313,
776],[37,109,277,347,1281,678,1811],[3,54,305,158,1207,664,1502],[3,24,192,104
,776,419,916],[37,39,192,97,499,1093,1313],[37,109,277,351,1281,678,1811],[37,
39,192,97,499,1093,1371],[12,54,90,334,1281,746,1495],[24,97,134,404,406,1207,
664],[2,12,54,90,1140,1415,544],[31,24,202,97,245,1115,1381],[12,54,90,334,
1281,746,1515],[13,21,6,1154,1408,1663,573],[4,65,25,92,159,414,1184],[3,8,
1229,1519,764,881,934],[1754,1229,764,384,964,1004,3],[1754,1229,764,384,962,
1001,3],[1754,1229,764,388,964,1004,3],[1754,1229,764,388,962,1001,3],[1,12,
1154,1752,1408,570,489],[86,145,1247],[945,864,15],[1,122,1247,913,812],[1,122
,113,1247,897],[1,122,1247,913,811],[15,11,118,1247,907],[1,122,90,70,1247],[1
,122,1247,913,1726],[1,122,1247,913,1730],[15,11,181,433,1036,1354,1613],[61,
166,421,1023,1431,650,578],[61,166,421,1023,1431,650,579],[3,8,109,134,1247,
897,806],[15,11,181,209,1115,1313,1613],[15,11,181,209,433,1036,1313],[15,11,
181,433,1036,1354,1643],[15,11,181,433,1036,1354,1624],[15,11,181,433,1036,
1354,1634],[15,11,181,483,1082,1354,1613],[15,11,181,220,433,1036,1327],[15,11
,58,162,418,1020,1354],[3,24,97,134,1247,897,804],[15,181,212,433,1036,1316,
1613],[15,181,209,433,1036,1313,1613],[15,181,212,433,1036,1316,1616],[15,181,
212,436,1039,1316,1613],[15,181,209,433,1036,1313,1616],[15,181,209,436,1039,
1313,1613],[15,181,209,436,1039,1313,1624],[3,11,24,97,1247,897,800],[15,11,58
,162,478,1076,1354],[15,11,181,220,1115,1386,1613],[15,11,58,162,209,1115,1386
],[3,8,109,139,1247,897,806],[15,11,181,478,1076,1327,1613],[12,54,158,413,
1016,1424,650],[15,181,212,436,1039,1316,1624],[75,334,1281,1754,673,171],[67,
307,1209,1514,1767,393],[67,307,1209,1514,1767,394],[4,65,25,305,159,1244],[75
,334,1281,1757,677,174],[75,334,1281,1,3,11],[4,65,25,305,1207,707],[4,65,305,
1207,712,1513],[1,31,192,116,776,432],[4,65,305,1207,712,1518],[4,65,305,1207,
712,1517],[75,334,1281,673,171,1],[4,65,305,1207,1513,1761],[1,31,12,192,116,
776],[1,31,12,192,776,916],[1,31,192,776,446,923],[312,1283,1757,1],[75,334,
1281,1756,3,11],[1,31,12,192,776,455],[1,31,192,776,446,924],[312,1283,1809,
309],[312,1283,1809,1],[75,334,1281,1757,3,11],[3,65,305,1207,1519,384],[75,
334,1281,1553,1754,11],[3,65,305,1207,1519,764],[75,334,1281,711,1756,3],[75,
334,1281,1499,1758,8],[3,65,305,1207,715,1519],[3,8,66,306,1208,1520],[65,305,
1207,711,1519,386],[65,305,1207,714,1519,386],[2,339,1286,712,1525,395],[1797,
1801,492],[1562,1467,3],[1267,1490,3],[3,8,1,26,1249,975],[3,24,44,8,1249,975]
,[1,12,1154,1354,1613,826],[3,741,848,947,526,364],[3,24,41,1249,821,975],[49,
48,20,2],[1828,1830],[893,1233],[893,1234],[894,1226],[1273,998],[31,148,1,12]
,[1460,1492,65,565],[347,628,32,117],[1461,1492,1,594],[1577,1709,1,375],[41,
45,791,927],[57,46,1224,708],[539,1596,1,1732],[1274,1305,1,604],[284,969,1,12
],[347,628,32,1035],[1461,1492,1,24],[6,20,17,508,284],[41,45,791,446],[539,
1596,1,1739],[1748,1257,14,369],[57,46,3,1224],[945,864,1,1793],[6,20,17,467,
570],[41,45,738,866],[539,1596,1,304],[41,45,192,1115],[41,53,192,1115],[6,20,
17,508,1194],[1,31,12,516,372,1107],[15,118,284,1207,684,1724],[15,118,287,
1207,684,1724],[15,118,731,838,500,284],[1,31,12,51,97,1247],[1,31,12,51,516,
1109],[15,11,118,58,500,272],[15,11,118,500,284,618],[4,109,134,65,1259,897],[
4,109,134,65,1259,903],[1,31,12,516,372,1105],[1,31,12,116,1247,897],[15,11,
118,284,1207,684],[15,11,118,500,284,620],[1,12,118,1247,897,810],[15,11,118,
500,618,1103],[15,11,58,305,162,1207],[1,31,116,1247,897,809],[1,31,12,1249,
821],[1,31,1249,821,988],[1,31,1249,821,982],[3,8,109,134,731,838,506,947],[3,
8,181,209,1115,1313,787,433],[13,21,181,209,1115,1313,1651,247],[13,21,6,181,
433,1036,1354,1613],[3,8,181,433,1036,1354,1613,570],[3,8,1,109,134,731,838,
958],[3,8,1,181,209,433,1036,1313],[3,8,181,433,1036,1482,1714,571],[8,3,7,109
,134,274,670,838],[61,166,421,1023,1481,1613,613,209],[13,55,159,215,247,84,
414,1025],[54,158,413,1016,1354,1613,574,210],[1,12,54,158,413,1016,1481,1613]
,[1,12,181,209,462,1063,1313,1613],[3,8,238,181,1477,1115,794,1613],[3,54,158,
413,1016,1481,1714,570],[13,55,159,215,247,84,21,1115],[13,55,159,215,247,84,
1115,1319],[13,21,4,181,218,433,1036,1325],[13,55,159,215,414,1017,1319,1651],
[13,63,169,424,1026,1354,1613,577],[8,11,1,181,433,1036,1482,1621],[3,8,1,181,
433,1036,1354,1640],[3,181,433,1036,1354,1613,570,221],[13,21,4,181,433,1036,
1354,1634],[3,8,1,181,483,1082,1354,1613],[11,8,2,56,158,414,1018,1354],[3,181
,433,1036,1482,1613,613,217],[3,8,109,134,731,838,505,947],[13,21,4,181,218,
1115,1382,1613],[13,21,4,181,476,1074,1325,1613],[3,8,109,134,65,277,673,843],
[3,109,134,731,838,504,279,947],[13,181,209,1115,1313,787,439,1619],[13,21,181
,209,120,55,1115,1372],[3,181,209,1115,1313,787,433,1613],[13,55,159,414,1017,
1421,548,1761],[1,158,54,238,413,1016,1313,1613],[1,61,88,166,421,547,648,1023
],[1,12,54,158,209,413,1016,1313],[14,3,181,217,433,1036,1324,1621],[1,158,54,
238,413,1016,1313,1617],[1,61,166,240,421,1023,1317,1617],[13,21,6,55,159,209,
1115,1382],[13,21,6,181,209,433,1036,1325],[14,57,161,210,416,1019,1314,1614],
[13,21,6,55,159,209,414,1017],[3,8,54,158,413,570,209,1016],[14,57,161,210,416
,1019,1314,1613],[14,3,181,217,433,1036,1324,1613],[1,166,61,238,421,1023,1313
,1617],[14,3,54,158,413,1016,1354,1634],[1,12,181,209,462,1063,1313,1621],[1,
61,90,181,433,544,648,1023],[3,28,104,136,897,731,500,267],[13,181,223,439,
1042,1325,1651,247],[122,132,1247,897,811,1729],[122,90,71,1247,897,801],[122,
90,1247,897,811,1727],[6,20,17,798],[41,45,1249],[15,11,1249,821,980],[75,334,
1281,673,171,3,11],[1,109,134,327,1207,724,1531],[1,181,209,118,1115,1313,776]
,[11,3,1,65,462,1063,1415],[1,109,134,327,1207,724,1537],[8,3,2,334,343,1207,
664],[148,109,65,404,1281,774,1533],[32,192,117,1115,1313,776,432],[1,31,12,
291,692,866,357],[1,31,12,291,692,866,363],[1754,1229,764,384,1,3,11],[1,31,12
,51,291,347,192],[1,31,12,51,291,347,1220],[3,24,44,192,776,446,924],[1754,
1229,764,1001,1,3,11],[3,65,24,305,158,1207,664],[1,31,12,116,282,1207,682],[3
,65,28,305,164,1207,669],[1,31,12,192,116,1115,1393],[1,31,12,116,282,1207,755
],[3,65,24,305,1207,709,1495],[1,31,12,97,267,1207,747],[3,8,1,192,776,446,925
],[1,31,12,291,692,866,356],[109,134,66,327,1207,724,1538],[1,31,12,51,192,
1115,1401],[75,334,1281,29,1543,707,8],[1,31,12,97,267,347,1207],[1,31,12,116,
282,347,1207],[75,334,1281,26,1501,3,11],[1,31,12,291,347,192,692],[1,31,12,
291,692,866,347],[109,134,66,24,327,1207,724],[1,109,134,65,1177,1425,585],[32
,192,117,1115,1313,777,431],[1,31,12,192,455,1057,1313],[1,109,327,410,1207,
700,1533],[1,31,12,97,267,1207,755],[1,31,12,116,282,1207,664],[3,65,24,305,
158,1207,760],[1,31,12,116,282,682,866],[1,31,12,97,731,838,500],[1,31,12,116,
731,838,500],[1,31,12,97,267,664,866],[1,109,134,65,1174,1425,584],[1,31,12,
192,446,1050,1346],[1,109,138,327,1207,725,1531],[3,75,78,305,344,1207,669],[1
,31,12,192,455,1057,1346],[1,31,12,192,116,1115,1381],[1,31,12,192,455,1057,
1334],[1,31,12,192,97,1115,1393],[1,31,12,51,192,1115,1334],[1,31,12,192,97,
1115,1323],[1,31,12,192,116,1115,1323],[1,31,12,51,192,97,1115],[1,31,12,51,97
,267,1207],[1,31,12,51,192,446,1050],[1,31,12,192,446,1050,1323],[1,109,327,
411,1207,703,1536],[1,109,327,411,1207,703,1533],[1,31,12,97,267,356,1207],[1,
31,12,192,446,1050,1313],[1,109,134,327,1207,725,1531],[1754,1229,764,335,962,
1001,11],[8,3,2,128,130,500,1099],[1289,65,711,1501,1],[32,193,116,1115,1313,
776,432],[2,65,158,413,1017,1415,550],[3,24,44,192,776,448,916],[8,11,1,65,78,
1224,707],[4,65,190,1115,1313,776,445],[1,25,192,1477,1115,776,413],[1224,65,
1501,707,1],[8,11,1,65,24,1142,1415],[4,25,98,268,366,134,1209],[109,134,65,25
,327,1207,1532],[4,65,190,444,1048,1418,544],[65,24,305,158,386,1207,666],[14,
57,305,158,1207,664,1495],[75,334,1281,26,1501,673,171],[1,54,305,158,1207,664
,1495],[4,65,25,92,1141,1418,544],[1754,1229,764,384,335,962,1001],[1754,1229,
764,384,336,962,1001],[1229,1519,764,881,937,313,384],[532,616,403,1108,1839,
1012,346],[1754,1229,764,384,336,963,1004],[532,1276,1011,1379,1687,616,403],[
532,1820,1010,1380,1633,616,403],[2,1007,656,886,402,604,529],[1229,711,386,
1813],[1754,1229,764,384,336,3,11],[312,1283,713,1501,1756],[6,20,17,1154,1354
,1613],[6,20,17,181,433,1036],[6,20,17,181,209,1115],[6,20,17,181,1115,1354],[
1462,1573,109,134,277],[6,20,17,181,209,1124],[1462,1573,109,135,277],[1462,
1573,109,135,278],[57,46,462,545,1063],[41,45,101,271,347],[1258,1308,109,135,
279],[1258,1308,24,97,297],[731,1704,3,24,514],[6,20,17,1154,1408,1663],[6,20,
17,181,1115,1408],[1258,1308,3,28,104],[6,20,17,1154,1354,1629],[1462,1573,109
,134,267],[6,20,17,54,462,1063],[1462,1573,3,109,267],[6,20,17,54,158,413],[
1258,1308,3,109,297],[1462,1573,109,135,267],[41,45,101,271,667],[347,940,3,8,
319],[15,11,181,209,118,1115,1313],[15,181,209,1115,1313,787,1656],[15,181,209
,1115,1313,787,433],[15,181,209,1115,1313,787,1659],[15,181,209,1115,1313,787,
436],[15,11,181,209,1115,1313,787],[15,181,433,1036,1354,1613,570],[6,20,17,
1154,1354,1656],[57,46,462,560,1063],[57,46,462,544,1063],[6,20,17,181,1115,
1613],[347,940,3,24,41],[6,20,17,181,217,1115],[1462,1573,3,109,300],[1258,
1308,109,137,277],[1462,1573,109,137,278],[6,20,17,467,1073,1334],[731,1704,27
,42,511],[15,181,209,1115,1313,787,1616],[15,11,181,209,118,58,1115],[11,3,1,
109,1247,897,813],[15,11,181,433,570,220,1036],[347,628,3,104,1021],[57,46,3,
462,1188],[1313,1443,109,137,518],[15,11,181,209,118,433,1036],[3,24,44,8,97,
1247,897],[15,11,1154,1354,787,433,1613],[15,181,209,118,433,1036,1316],[15,11
,181,209,118,1115,1386],[11,3,1,109,1247,897,806],[69,50,33,158,413,1016,1415]
,[15,11,181,209,118,1115,1395],[15,181,209,118,433,1036,1313],[15,181,209,118,
436,1039,1316],[15,181,209,118,436,1039,1313],[15,181,209,1115,1313,787,1613],
[6,20,17,1154,1408,1640],[1,61,166,421,1023,1423,651],[1,61,166,421,1023,1423,
650],[1,12,54,158,413,1016,1423],[3,24,44,8,516,372,1105],[3,24,44,104,1247,
897,804],[3,24,44,104,1247,897,800],[3,8,1,97,1247,897,806],[3,8,1,24,516,372,
322],[3,24,44,8,516,372,322],[1,24,97,134,1247,897,800],[15,11,1154,1408,1663,
570,491],[1,65,305,1207,1530,764],[2,75,334,1281,736,1519],[4,65,305,1209,1521
,385],[1294,848],[968,1269,32],[968,1269,1],[1267,1490,14],[1,31,12,51,1249,
975],[3,8,1,1249,821,975],[3,24,44,1249,821,981],[27,41,14,1249,821,975],[3,24
,44,1249,821,975],[1,1154,1354,1613,826,570],[27,41,14,3,1249,821],[3,24,44,8,
1249,821],[3,8,54,158,209,413,1016,1313,1613],[347,628,1,31],[95,68,305,1207],
[15,11,1154,1354,1613,826],[181,209,118,1115,1313,776,433,1613],[109,134,65,
731,838,500,278,949],[181,209,118,1115,1313,776,434,1616],[181,209,128,1115,
1313,776,433,1618],[181,209,118,1115,1313,776,434,1613],[13,55,84,462,1063,
1415,548,1761],[13,55,91,462,1063,1421,548,1767],[13,55,84,462,1063,1415,564,
1761],[181,209,121,1115,1313,780,434,1613],[3,8,181,209,118,1115,1313,776],[13
,21,181,209,120,1115,1313,779],[13,21,181,209,1115,1313,789,1651],[181,209,202
,207,1477,1115,776,421],[148,134,75,256,426,1036,1425,584],[13,55,84,168,423,
1025,1415,548],[13,55,84,21,462,1063,1415,544],[13,55,91,21,462,1063,1421,564]
,[13,21,4,55,1115,1313,776,462],[82,90,31,24,462,1063,1415,560],[82,90,31,24,
462,1063,1415,544],[90,82,37,178,421,1028,1415,547],[109,148,76,24,497,1095,
1425,584],[148,134,75,256,426,1036,1426,585],[181,209,118,54,1115,1313,780,416
],[181,209,118,1115,1313,776,433,1621],[209,238,230,1313,1477,776,685,1625],[
13,55,84,462,1063,1415,548,1762],[13,55,84,462,1063,1415,548,1768],[3,8,1,109,
134,731,838,506],[13,21,4,181,209,118,55,1115],[13,21,4,181,209,118,1115,1325]
,[13,55,84,159,414,1017,1415,548],[109,134,65,252,413,1016,1425,585],[3,24,44,
8,192,97,1115,1313],[3,11,2,25,192,97,1115,1313],[3,24,192,97,1115,1313,776,
413],[1,24,97,252,413,1016,1436,584],[1,12,238,181,1477,1115,795,1656],[14,3,
181,209,1115,1313,787,433],[3,24,192,97,1115,1313,786,419],[3,109,134,65,731,
838,500,958],[3,109,134,65,731,838,500,949],[13,55,91,159,414,1017,1421,1761],
[3,8,6,109,897,731,500,301],[3,109,134,128,129,731,838,500],[3,8,1,181,433,570
,209,1036],[148,134,75,78,252,413,1016,1425],[13,55,84,21,159,414,1017,1415],[
3,8,1,741,852,506,277,947],[14,181,433,1036,1354,1613,570,210],[1,12,54,158,
413,611,648,224],[14,181,433,1036,1354,1613,570,217],[1,12,181,433,1036,1354,
1613,570],[1,181,433,1036,1354,1613,570,209],[1,61,166,421,1023,1354,1613,570]
,[14,181,433,1036,1354,1613,570,219],[13,21,181,209,1115,1313,789,1652],[1,12,
181,209,118,433,1036,1324],[1,54,12,158,262,443,1047,1332],[1,54,12,158,262,
443,1047,1313],[1,24,97,252,413,1016,1436,589],[1,12,54,158,1477,1115,776,475]
,[1,12,181,209,118,456,1050,1313],[1,54,158,213,1115,1313,776,413],[2,97,24,
259,458,1062,1425,589],[1,12,54,158,209,1115,1313,776],[1,24,97,148,252,413,
1016,1425],[1,54,158,213,1115,1313,776,421],[2,97,24,259,458,1062,1425,584],[
14,181,209,1115,1313,787,433,1614],[14,181,209,1115,1313,787,434,1614],[1,54,
158,209,1115,1313,776,421],[3,24,192,114,1115,1313,776,413],[3,24,44,8,97,267,
1207,747],[3,11,75,24,462,1063,1415,544],[1,166,61,238,1477,1115,776,413],[1,
109,148,254,426,1028,1425,585],[14,181,209,1115,1313,787,434,1613],[27,41,14,
100,270,347,1207,666],[3,24,192,114,1115,1313,776,430],[2,109,137,257,446,1050
,1491,585],[2,24,97,148,497,1095,1425,592],[14,3,181,209,1115,1313,787,1613],[
27,41,14,3,192,97,1115,1381],[3,28,104,273,364,134,1207,669],[3,8,24,97,267,
364,134,1207],[3,8,65,161,1477,1115,776,413],[1,209,181,1313,1115,836,433,1613
],[3,8,24,192,97,776,413,916],[13,21,6,1154,1408,1663,573,490],[3,8,1229,711,
1519,384,878,934],[284,969,15,11],[945,864,15,11],[284,969,15,602],[945,864,15
,1793],[1,152,148,1247,897,811],[945,864,15,1794],[284,969,15,603],[1,122,1247
,908,817,1726],[1,122,1247,908,817,1730],[1,122,1247,908,818,1726],[1,122,1247
,908,818,1729],[2,141,113,142,1247,897],[1,152,148,1247,897,1726],[15,11,58,
162,418,1020,1354,1613],[15,11,181,220,433,1036,1327,1624],[15,11,181,209,433,
1036,1313,1624],[15,11,181,220,433,1036,1327,1613],[15,11,58,162,418,1020,1354
,1634],[15,11,181,209,433,1036,1313,1613],[15,11,58,162,209,418,1020,1313],[13
,55,159,414,576,266,228,1017],[75,334,1281,1505,1754,673,171],[65,305,171,1207
,673,1519,390],[75,334,1281,711,1,3,11],[4,65,305,1207,712,1518,1763],[4,65,
305,1207,712,1517,1769],[4,65,25,305,159,1207,665],[4,65,305,1207,712,1513,
1761],[4,65,25,305,1207,707,1513],[1,31,12,192,116,776,431],[3,65,305,171,1207
,673,1519],[4,65,25,305,1207,707,1517],[4,65,305,1207,712,1518,1767],[1,109,
134,65,327,1207,724],[75,334,1281,1507,1,3,11],[1,109,134,65,79,327,1207],[1,
109,134,65,327,1207,1533],[4,65,305,1207,712,1518,1761],[4,65,305,1207,712,
1517,1767],[4,65,25,305,1207,707,1767],[4,65,25,305,1207,707,1761],[4,65,305,
190,1207,691,1496],[4,65,305,190,1207,691,1505],[312,1283,386,1757,1],[75,334,
1281,1554,1756,3,11],[75,334,1281,24,1754,673,171],[67,307,1209,712,1514,1767,
393],[65,305,171,1207,673,1519,386],[65,305,345,1207,684,1712,384],[75,334,
1281,1501,1757,677,174],[1,31,12,51,192,776,446],[4,65,305,1207,712,1518,1771]
,[4,65,305,1207,712,1517,1765],[1754,1229,711,335,1,3,11],[1,65,334,284,1281,
688,1495],[4,65,25,305,1207,721,1496],[1754,1229,764,335,1,3,11],[75,334,1281,
716,1501,1758,8],[75,334,1281,713,1499,1758,8],[75,334,1281,713,1501,1758,8],[
4,1290,1557,764,933,965,314],[75,334,1281,716,1499,1758,8],[2,65,327,267,1281,
664,1531],[1,31,192,116,776,431,923],[75,334,1281,711,1756,3,11],[75,334,1281,
1501,1756,3,11],[75,334,1281,1501,1757,3,11],[312,1283,711,1809],[312,1283,
1552,1809],[1252,649],[1835,1457],[1693,1608,3,8],[1599,1063,3,8],[968,1269,3,
24],[3,8,1,1154,1354,1613,826],[3,8,741,848,947,526,365],[3,8,1154,1354,1613,
826,572],[3,8,1154,1354,1613,826,570],[1562,1467,3,144],[1693,1608,3,581],[
1448,1293,3,475],[49,48,20,2,97],[49,48,20,2,737],[1193,1833,1540,1456,402],[
893,1234,178],[893,1233,178],[894,1226,191],[1273,998,401],[893,1234,1778],[
893,1233,1781],[1462,1573,109,134,65],[1436,1455,109,134,65],[6,20,17,181,433,
570],[6,20,17,181,209,787],[41,45,291,347,1220],[41,45,291,692,866],[6,20,17,
1154,1354,787],[1590,1466,1253,3],[893,1234,1775],[893,1233,1772],[15,181,209,
118,1115,1313,776],[41,53,192,1115,1313],[1436,1455,1,109,134],[347,628,1,97,
1016],[347,628,32,117,1035],[57,46,1143,1415,545],[284,969,1,12,602],[945,864,
1,318,1792],[945,864,1,12,316],[347,628,32,12,1050],[57,46,1143,1415,544],[820
,1589,1,892,1732],[347,940,32,12,320],[1715,1737,533],[894,1226,1764],[894,
1228,1776],[41,45,192,1115,1401],[284,969,3,1310,601],[41,45,192,446,1050],[
1462,1573,3,65,24],[57,46,1140,1415,544],[41,53,192,1115,1383],[41,45,192,1115
,1385],[41,53,192,99,1115],[1436,1455,1,109,595],[1436,1455,1,109,592],[75,151
,1,731,842],[6,20,17,508,623,1102],[1429,1447,3,65,560],[41,53,99,269,1207],[6
,20,17,54,1140,1415],[15,11,192,1115,1313,776,446],[3,8,1,118,1247,897,800],[
15,11,118,58,731,838,500],[1,31,12,116,1247,897,800],[1,31,12,97,1247,897,809]
,[1,31,12,51,516,372,322],[1,31,12,51,97,1247,897],[1,31,12,51,516,372,1105],[
15,11,58,305,1207,707,1500],[1,31,12,97,1247,897,800],[894,1226,1779],[894,
1228,1782],[1193,1833,1540,1456,575],[1,31,12,1249,821,975],[1,31,12,1249,821,
988],[1,31,12,51,1249,821],[3,8,1,54,158,413,1016,1354,1613],[3,8,181,433,1036
,1482,1613,613,209],[13,21,181,209,1115,1313,787,433,1613],[13,55,159,215,414,
1017,1319,1651,249],[13,55,159,215,414,1017,1319,1651,247],[3,8,1,181,217,433,
1036,1324,1621],[13,21,4,55,159,209,414,1017,1313],[3,8,1,54,158,413,1016,1354
,1634],[13,55,159,414,1017,1354,1613,577,209],[3,59,164,419,1021,1354,1613,570
,211],[8,11,10,181,238,462,1063,1313,1621],[3,59,164,419,1021,1482,1613,613,
209],[3,8,181,433,1036,1482,1613,613,217],[3,8,54,158,413,1016,1481,1714,570],
[13,21,6,181,218,433,1036,1325,1613],[13,55,159,414,1017,1354,1613,577,215],[8
,11,10,181,238,462,1063,1313,1613],[13,21,55,159,209,414,1017,1313,1651],[3,8,
181,433,1036,1482,1613,614,217],[1,12,158,54,238,413,1016,1313,1613],[122,90,
71,1247,897,801,1727],[1448,1293,15],[915,1565,15],[6,20,17,798,645],[41,45,
1249,979],[15,1154,1354,1613,826,570],[14,181,209,118,1115,1313,776,433],[3,24
,44,192,1115,1313,776,419],[14,3,181,209,118,1115,1313,776],[3,24,44,192,97,
1115,1313,776],[1,181,209,118,1115,1313,776,437],[3,24,44,192,1115,1313,776,
448],[1,31,12,51,192,97,1115,1313],[148,134,75,327,408,1281,688,1533],[3,24,44
,192,104,776,419,919],[1754,1229,764,384,970,1,3,11],[1754,1229,764,962,1001,3
,11,337],[1754,1229,764,962,1001,3,11,336],[1754,1229,764,962,1001,3,11,335],[
1754,1229,764,962,1001,3,11,1],[75,334,1281,673,171,3,11,24],[1,31,12,116,282,
347,1207,682],[11,3,10,24,192,1115,1313,776],[3,11,2,65,160,413,1018,1415],[3,
24,44,8,192,1115,1313,776],[1,181,209,118,1115,1313,776,1613],[1,181,209,118,
54,1115,1313,776],[3,24,44,192,104,1115,1313,776],[3,11,2,75,26,462,1063,1415]
,[1,181,209,118,1115,1313,776,1617],[1,31,12,97,267,664,866,347],[3,8,1,24,192
,97,776,413],[37,202,113,243,1477,1115,776,413],[4,65,25,190,444,1048,1418,544
],[2,148,134,75,78,1174,1425,584],[3,8,1,192,97,776,413,920],[1207,305,1501,
673,1],[3,24,44,192,104,776,419,916],[4,65,25,159,414,1017,1418,559],[1,31,12,
51,97,267,1207,747],[1,31,12,51,192,446,1050,1334],[1,31,12,51,97,267,664,866]
,[1,31,12,51,97,731,838,500],[75,334,1281,160,1501,707,3,11],[1,25,98,134,327,
1207,724,1537],[3,65,24,305,158,387,1207,669],[75,334,1281,29,1501,673,171,8],
[1,31,12,51,291,347,192,692],[3,24,44,8,192,776,446,924],[1207,305,24,1603,340
],[3,8,65,305,171,384,1207,673],[75,334,1281,160,1543,707,3,11],[75,334,1281,
29,1499,673,171,8],[1754,1229,764,1005,970,1,3,11],[3,65,24,305,158,387,1207,
664],[75,334,1281,26,1501,677,176,8],[2,26,99,327,267,1281,664,1531],[1754,
1229,764,384,335,962,1001,3],[1754,1229,764,388,335,962,1001,3],[6,20,17,118,
1247],[6,20,17,181,209,1115,1313],[6,20,17,54,158,413,1016],[1444,1247,3,8,109
,277],[421,606,433,1098,1481],[6,20,17,181,209,1115,1381],[6,20,17,181,217,
1115,1381],[6,20,17,181,433,1036,1362],[6,20,17,181,475,1073,1324],[6,20,17,54
,158,475,1073],[6,20,17,181,433,1036,1354],[1444,1247,3,8,24,97],[6,20,17,181,
1115,1354,1613],[6,20,17,181,483,1082,1354],[1444,1247,3,8,109,137],[6,20,17,
181,1115,1354,1634],[3,8,148,109,65,1247,897,806],[15,11,181,209,1115,1313,787
,1656],[15,11,181,209,1115,1313,787,433],[6,20,17,181,1115,1408,1613],[1444,
1247,3,109,140,267],[1444,1247,3,28,104,297],[15,11,181,433,1036,1354,1613,570
],[6,20,17,181,209,1115,1324],[1444,1247,3,109,136,273],[6,20,17,54,158,1115,
1354],[6,20,17,181,217,433,1036],[1258,1308,3,109,134,277],[6,20,17,181,217,
1115,1395],[15,181,433,1036,1354,1613,570,209],[6,20,17,181,1115,1408,1640],[6
,20,17,54,158,1115,1381],[15,181,433,1036,1354,1613,570,212],[2,12,54,158,413,
1016,1424,650],[6,20,17,467,1073,1334,1676],[15,181,209,1115,1313,787,433,1616
],[15,181,209,1115,1313,787,436,1616],[347,628,3,24,97,1021],[347,628,3,8,109,
1016],[347,628,3,28,104,1016],[6,20,17,54,158,209,413],[1313,1443,24,97,134,
518],[8,11,10,109,137,1247,897,806],[15,11,181,209,118,58,1115,1386],[15,11,58
,162,1115,1313,776,418],[3,24,44,8,97,1247,897,800],[15,181,209,1115,1313,787,
433,1613],[6,20,17,467,1073,1334,1681],[15,11,181,209,1115,1313,787,1613],[15,
11,58,162,209,1115,1313,776],[15,11,181,209,118,433,1036,1313],[15,11,181,209,
118,433,1036,1327],[15,181,209,1115,1313,787,436,1613],[1,61,166,421,1023,1431
,650,579],[1,61,166,421,1023,1431,650,578],[75,334,1281,1757,1,3,11],[4,65,305
,171,1209,673,1521],[4,65,305,1207,1513,1761,392],[75,334,1281,711,384,1755,1]
,[1271,995,3],[1267,1490,14,643],[1267,1490,14,641],[1743,1751,1,12],[1599,
1063,31,12],[968,1269,32,12],[3,8,1,24,1249,821,975],[3,24,44,8,1249,821,975],
[1,12,1154,1354,1613,826,570],[1590,1466,1253,65],[202,1265,32],[1715,1737,1],
[57,46,3,305,1207],[6,20,17,118,500,1102],[57,46,305,1207,707],[95,68,305,1207
,707],[6,20,17,118,500,617],[1580,1492,1,118,284],[1429,1447,1,65,560],[41,45,
192,776,918],[284,969,1,12,1310],[347,628,1,31,1034],[3,8,181,209,118,1115,
1313,776,433],[13,21,4,181,209,1115,1313,787,1656],[3,8,1,181,209,1115,1313,
787,433],[181,209,118,54,1115,1313,776,413,1613],[13,55,84,21,462,1063,1415,
544,1767],[13,55,91,21,462,1063,1421,544,1761],[13,55,84,168,423,1025,1415,548
,1762],[13,55,84,168,423,1025,1415,548,1761],[181,209,118,54,1115,1313,776,413
,1617],[181,238,192,97,1313,1477,776,666,1615],[13,21,4,55,1115,1313,776,462,
1816],[13,21,181,209,128,1115,1313,776,1613],[13,21,4,181,209,118,55,247,1115]
,[3,209,181,208,1313,1115,834,488,1615],[3,109,134,65,731,838,500,279,947],[13
,55,91,159,414,1017,1421,548,1761],[3,109,134,65,24,731,838,500,267],[13,55,84
,21,159,414,1017,1415,544],[109,134,65,25,253,414,1017,1425,584],[13,21,4,181,
209,118,55,1115,1382],[3,8,1,181,433,1036,1354,1613,570],[3,209,181,208,1313,
1115,834,488,1625],[3,181,209,118,1115,1313,776,433,1621],[13,55,84,159,414,
1017,1415,548,1762],[3,8,181,209,119,1115,1313,777,1613],[13,21,181,209,1115,
1313,789,1651,247],[1,54,158,413,1016,1482,1613,613,209],[14,3,54,158,413,1016
,1354,1613,570],[1,12,181,433,1036,1354,1613,570,217],[14,3,181,433,1036,1354,
1613,570,209],[13,21,4,55,159,1115,1313,776,476],[1,61,166,421,611,648,224,83,
1023],[8,11,10,181,238,128,446,1058,1313],[3,8,1,109,134,731,838,504,947],[1,
61,166,421,1023,1354,1613,570,209],[1,12,54,158,413,611,635,241,1044],[1,12,54
,158,209,1115,1313,776,413],[3,8,24,97,267,364,134,1207,664],[1,12,181,209,
1115,1313,787,433,1613],[284,969,15,11,58],[945,864,15,11,317],[731,1258,122,
90,268],[41,45,101,1247,897],[57,46,797,607,520],[731,1704,69,50,33],[1,122,
132,1247,897,811,1726],[1,122,132,1247,897,811,1729],[1,122,113,142,1247,897,
800],[41,53,1249,821],[41,45,1249,821],[15,11,58,162,209,418,1020,1313,1613],[
75,334,1281,673,171,3,11,1],[8,11,1,65,305,1207,707,1505],[75,334,1281,673,171
,3,11,1756],[75,334,1281,673,171,3,11,1757],[75,334,1281,24,171,1,3,11],[1,148
,109,65,327,1207,724,1533],[1,148,109,65,25,327,1207,1531],[1,148,109,65,327,
1207,724,1538],[3,65,28,305,164,1207,669,1519],[75,334,1281,1501,1758,673,171,
8],[1,148,109,65,327,1207,724,1537],[4,65,25,92,305,1207,707,1515],[75,334,
1281,1499,1758,673,171,8],[4,65,25,305,1207,707,1517,1765],[4,65,25,305,1207,
707,1517,1771],[1,148,109,65,25,327,1207,724],[8,11,1,65,305,1207,712,1495],[4
,65,25,305,159,1207,665,1513],[4,65,25,305,190,1207,690,1496],[4,65,305,159,
1207,673,1513,1761],[4,65,25,305,1207,707,1517,1761],[4,65,25,305,1207,707,
1517,1767],[3,65,305,171,1207,673,1519,389],[3,65,305,171,1207,673,1519,391],[
75,334,1281,24,1756,673,171,3],[4,65,305,190,1207,691,1496,1764],[4,65,305,190
,1207,691,1505,1765],[1,31,12,51,192,776,446,916],[1,31,12,192,97,776,413,916]
,[65,27,305,161,1207,666,1519,384],[65,27,305,161,1207,666,1519,386],[4,65,305
,190,1207,691,1505,1766],[4,65,305,190,1207,691,1496,1761],[1,1707,1291,764,
962,970,1000,384],[312,1283,711,386,1757],[3,8,65,305,1207,711,1519,384],[944,
1703],[1267,1490,13,21,642],[968,1269,3,8,24],[1577,1708,1462,3,8],[95,4,462,
1063],[6,20,17,181,209,118,54],[1444,1247,11,3,1,295],[1609,1587,11,3,1,560],[
57,46,462,1063,1415,545],[6,20,17,181,433,570,217],[41,45,291,692,866,358],[
1577,1708,1462,3,158],[305,1704,27,179],[95,4,159,1115],[893,1234,178,1775],[
893,1233,178,1772],[731,1593,1823,109,261],[15,11,181,209,118,1115,1313,776],[
15,181,209,118,1115,1313,776,433],[1258,1308,3,109,134,65],[57,46,158,413,1016
,1415],[6,20,17,1154,1354,787,1613],[15,181,209,118,1115,1313,776,436],[1258,
1308,4,109,134,268],[41,45,192,101,1115,1313],[6,20,17,54,462,1063,1415],[6,20
,17,54,462,544,305],[57,46,161,416,1019,1415],[95,68,167,422,1024,1420],[95,68
,167,1115,1313,776],[1258,1308,109,134,65,24],[6,20,17,181,433,570,209],[6,20,
17,181,433,570,1082],[347,940,3,24,44,8],[41,45,291,347,192,692],[6,20,17,1154
,1354,787,433],[6,20,17,1154,1354,787,1656],[1258,1308,109,134,67,25],[1685,
1588,109,134,66,24],[15,181,209,118,1115,1313,776,1613],[889,1246,3,28],[15,
181,209,118,1115,1313,776,1616],[25,16,98,268,1281,665],[1685,1588,2,24,97,592
],[6,20,17,54,1140,1415,544],[41,53,192,446,1050,1313],[1313,1440,3,8,65,24],[
81,148,1,275,673,838],[41,45,101,271,347,1207],[1444,1247,1,24,97,297],[41,45,
192,446,1050,1337],[41,45,101,271,1207,749],[1444,1247,1,109,137,277],[1313,
1440,3,65,28,512],[1748,1257,13,198,133,370],[6,20,17,1154,1408,1663,570],[4,
109,134,65,25,1259,897,801],[992,1783,627,1474,660,657,543,1598],[1747,1803,
627,876,660,657,543,1446],[1715,1737,402,529],[1,31,12,51,97,1247,897,800],[
1271,995,367],[990,1578,380],[990,1578,381],[968,1269,1,31],[1271,995,1],[1,31
,12,51,1249,821,975],[3,8,54,158,413,1016,1354,1613,570,209],[3,8,6,163,55,209
,413,1016,1313,1613],[13,21,55,159,209,414,1017,1313,1651,247],[1448,1293,15,
11],[915,1565,15,11],[15,11,1154,1354,1613,826,570],[13,21,4,181,209,118,1115,
1313,776],[13,21,181,209,120,1115,1313,779,1653],[1,181,209,118,61,1115,1313,
776,421],[3,24,44,8,192,1115,1313,776,413],[1,181,209,202,206,1477,1115,776,
413],[2,134,109,75,24,497,1095,1425,592],[1,181,209,118,1115,1313,776,433,1621
],[1,181,209,118,1115,1313,776,433,1617],[1,181,209,118,1115,1313,776,433,1626
],[1,12,181,209,118,1115,1313,776,433],[3,8,1,75,171,426,1028,1488,550],[1,181
,209,118,1115,1313,776,433,1613],[13,21,181,209,120,1115,1313,779,1654],[1,181
,209,118,54,1115,1313,776,421],[3,24,44,8,192,1115,1313,776,446],[8,3,2,65,159
,415,1017,1415,550],[1,181,209,118,1115,1313,776,437,1613],[3,8,1,24,192,97,
1115,1313,776],[1,109,148,75,54,252,413,1016,1425],[3,8,1,75,171,426,1028,1488
,544],[1,12,209,238,230,1477,1115,776,1613],[1,31,12,51,97,267,664,866,347],[
13,21,6,55,334,159,1207,665,1496],[1,31,12,51,97,267,347,1207,664],[1754,1229,
764,962,1001,3,11,384,337],[1754,1229,764,962,1001,3,11,384,336],[3,8,1229,
1519,764,881,937,312,384],[1754,1229,764,962,1001,3,11,384,1],[305,1704,69],[6
,20,17,118,1247,897],[6,20,17,118,1247,906],[6,20,17,118,54,1247],[6,20,17,181
,433,1036,1354,1613],[181,606,433,1204,1759,82],[181,606,433,1204,1759,83],[6,
20,17,54,158,209,1115,1313],[6,20,17,181,209,1115,1313,1613],[6,20,17,181,209,
433,1036,1313],[6,20,17,181,217,433,1036,1324],[6,20,17,181,433,1036,1354,1634
],[6,20,17,181,483,1082,1354,1613],[6,20,17,54,158,413,1016,1354],[6,20,17,181
,433,1036,1354,1640],[6,20,17,181,433,1036,1354,1621],[1258,1308,3,8,24,97,297
],[1258,1308,3,8,109,137,277],[6,20,17,54,158,209,413,1016],[1462,1573,3,28,
104,148,273],[216,637,1017],[15,11,58,162,418,1020,1354,1613,570],[1258,1308,3
,28,104,136,273],[6,20,17,181,475,1073,1324,1613],[421,1613,1672],[15,11,181,
433,1036,1354,1613,570,209],[6,20,17,181,217,1115,1381,1613],[15,11,181,433,
1036,1354,1613,570,220],[15,11,181,209,1115,1313,787,433,1613],[3,11,4,25,103,
134,1247,897,800],[1,12,54,158,413,1016,1431,652,578],[75,334,1281,384,1755,
673,171,1],[75,334,1281,24,1755,673,172,1],[4,65,305,1207,712,1513,1761,392],[
4,65,305,1207,712,1517,1769,392],[4,65,305,1207,712,1518,1763,392],[75,334,
1281,1552,1757,1,3,11],[75,334,1281,711,1757,1,3,11],[75,334,1281,1506,1755,
674,173,1],[75,334,1281,386,1757,1,3,11],[1294,848,3,8],[1563,1745,3,8,1],[
1448,1293,3,8,1],[968,1269,3,24,44],[3,8,1,1154,1354,1613,826,570],[1267,1490,
14,3,641],[731,1593,1823,1,252],[731,1593,1823,1,258],[202,1265,32,117],[1458,
1441,1,402],[1192,1449,874,3,65],[6,20,17,118,500,284,620],[347,940,1,31,12,51
],[942,969,1,1295],[95,4,1226,707],[6,20,17,118,500,284,1197],[284,969,3,8,1,
1310],[41,45,192,1115,1313,776],[347,628,1,31,12,116],[57,46,305,161,1207,666]
,[347,940,1,31,12,320],[347,940,1,31,12,316],[49,48,20,2,97,500],[202,1265,32,
116],[6,20,17,54,305,1207,707],[347,628,1,31,12,1016],[347,628,1,31,12,1034],[
347,628,1,31,116,1035],[347,628,1,31,97,1023],[347,628,1,31,116,1034],[284,969
,1,12,54,1310],[1458,1441,1,533],[1458,1441,1,529],[13,21,4,181,209,118,55,247
,1115,1313],[13,21,6,181,433,1036,1354,1613,573,209],[3,8,181,209,118,54,1115,
1313,776,413],[13,21,4,181,209,118,55,247,1115,1382],[13,21,4,181,209,118,55,
493,1094,1372],[3,8,1,181,433,1036,1354,1613,570,217],[3,181,209,118,54,1115,
1313,776,413,1613],[3,181,209,118,54,1115,1313,776,413,1615],[13,55,84,21,159,
414,1017,1415,544,1761],[8,3,2,54,159,415,1016,1482,1714,570],[13,21,4,181,209
,118,55,493,1094,1313],[3,8,1,109,134,731,838,506,277,947],[14,3,54,158,413,
1016,1354,1613,570,209],[41,45,101,1247,897,803],[347,628,15,11,102,1020],[2,
150,113,142,1247,897,800,1726],[1445,1575],[49,48,20,2,1249],[41,53,1249,821,
977],[41,45,1249,821,979],[75,334,1281,673,171,3,11,24,1],[1,134,148,65,55,327
,1207,724,1531],[75,334,1281,673,171,3,11,1509,1756],[4,65,25,305,159,1207,665
,1513,1761],[2,134,148,65,404,267,1207,664,1533],[1,31,12,192,116,1115,1313,
776,413],[4,65,25,305,190,1207,690,1496,1765],[4,65,25,305,190,1207,690,1496,
1761],[1,31,12,51,192,1115,1313,776,413],[4,65,25,92,305,1207,707,1515,1761],[
4,65,25,92,305,1207,707,1515,1767],[1,31,12,51,192,97,1115,1313,776],[4,65,25,
305,159,1207,665,1513,1765],[4,65,25,92,305,159,1207,665,1496],[1,31,12,51,192
,1115,1313,776,446],[3,65,24,305,158,1207,664,1519,387],[75,334,1281,29,1499,
1758,707,171,8],[3,8,65,305,171,1207,673,1519,384],[3,8,65,24,305,158,1207,664
,1519],[3,65,28,305,164,1207,669,1519,384],[3,65,24,305,158,1207,664,1519,384]
,[1754,1229,764,962,1001,3,11,335,1],[75,334,1281,673,171,3,11,1501,1757],[944
,1703,3],[1462,1573,3,8,109,134,65],[6,20,17,181,209,1115,1313,787],[897,1588,
1819,109,134,252],[202,1265,3,24,97],[897,1588,1819,109,134,254],[942,969,3,59
,1295],[1462,1573,3,148,109,65,277],[1462,1573,3,148,109,65,279],[57,46,158,
413,1016,1415,545],[1462,1573,8,11,1,109,137],[1462,1573,8,11,1,25,97],[57,46,
158,413,1016,1415,544],[6,20,17,1154,1354,787,433,1613],[181,606,433,1204,1759
,1],[15,181,209,118,1115,1313,776,433,1616],[1258,1308,3,109,134,65,273],[1258
,1308,3,109,134,65,267],[6,20,17,54,158,413,570,1016],[15,181,209,118,1115,
1313,776,433,1613],[15,11,181,209,118,1115,1313,776,433],[347,628,3,8,1,97,
1016],[6,20,17,54,462,1063,1415,560],[6,20,17,54,462,1063,1415,544],[347,628,3
,24,44,97,1021],[347,628,3,8,1,24,1050],[6,20,17,54,158,413,570,209],[95,68,
167,422,1024,1420,544],[1313,1443,109,134,65,25,519],[49,48,20,2,97,267,747],[
15,181,209,118,1115,1313,776,436,1624],[202,1265,3,24,41],[15,11,181,209,118,
1115,1313,776,1613],[15,181,209,118,1115,1313,776,436,1613],[305,1704,27,42,
158],[15,11,181,209,118,58,1115,1313,776],[284,969,3,8,54,1310,599],[1238,1115
,2,24,97,134,592],[6,20,17,1154,1408,1663,570,489],[968,1269,1,31,12],[1271,
995,8,367],[49,48,20,2,192,776],[6,20,17,1154,1354,1613,826],[1448,1293,15,11,
478],[13,21,4,181,209,118,55,1115,1313,776],[13,21,181,209,120,1115,1313,779,
1653,250],[1,181,238,192,107,1313,1115,834,421,1617],[1,181,238,192,107,1313,
1115,834,421,1613],[1,12,181,209,118,1115,1313,776,433,1613],[1,12,181,209,118
,1115,1313,776,433,1621],[3,8,1,109,134,65,731,838,500,947],[1,181,238,192,97,
1313,1115,834,413,1617],[1,181,238,192,97,1313,1115,834,413,1613],[14,3,181,
209,118,54,1115,1313,776,413],[3,24,44,8,192,97,1115,1313,776,413],[1464,1438,
1597],[95,68,1440,1224],[57,46,731,1704],[305,1704,69,50],[305,1704,69,180],[
49,48,20,2,97,1247],[284,969,15,11,1310,600],[284,969,15,11,1310,602],[6,20,17
,118,1247,897,800],[6,20,17,54,158,413,1016,1354,1613],[6,20,17,54,158,209,413
,1016,1313],[6,20,17,181,209,433,1036,1313,1621],[6,20,17,54,158,413,1016,1354
,1634],[6,20,17,181,217,433,1036,1324,1621],[6,20,17,181,209,433,1036,1313,
1613],[6,20,17,181,217,433,1036,1324,1613],[54,12,1016,413,158,82,209,544,1313
],[421,1613,1672,226],[15,11,58,162,418,1020,1354,1613,570,209],[75,334,1281,
673,171,3,11,1757,1],[4,65,25,305,159,1209,665,1521,385],[4,65,305,1207,712,
1518,1763,392,191],[4,65,305,1207,712,1517,1769,392,191],[75,334,1281,711,386,
1757,1,3,11],[944,1703,1],[1454,1713,11,3,1,580],[968,1269,3,8,1,24],[968,1269
,3,24,44,8],[1600,1256,1695,3,8,1],[49,48,20,2,291,347,1220],[95,4,462,1063,
1418],[1600,1256,1695,3,8,65],[1192,1449,874,3,65,164],[49,48,20,2,97,267,1207
],[49,48,20,2,192,1115,1334],[1192,1449,874,3,65,171],[49,48,20,2,192,1115,
1401],[1192,1449,874,3,65,24],[6,20,17,118,731,838,500,284],[1238,1115,1,148,
109,65,24],[6,20,17,54,305,1207,707,1515],[1224,1115,8,11,1,65,565],[1462,1573
,8,11,1,65,277],[1192,1449,874,65,24,158],[1600,1256,1695,65,24,161],[95,4,
1141,1418,544],[6,20,17,118,54,500,267,1194],[6,20,17,118,284,1207,684,1720],[
6,20,17,118,731,838,500,267],[1224,1115,8,11,1,65,560],[6,20,17,54,305,1207,
707,1495],[6,20,17,54,305,158,1207,664],[347,628,1,31,12,51,1016],[347,628,1,
31,12,51,97],[95,68,305,167,1207,671,1504],[1205,1827,1494,1262,1],[943,1701,1
,379],[13,21,6,55,159,414,1017,1354,1613,573,209],[3,8,181,209,118,54,1115,
1313,776,413,1613],[1694,1312,1576,109],[1445,1575,110],[1710,1564,1472,27],[
49,48,20,2,1249,975],[13,21,4,181,209,118,1115,1313,776,1651],[75,334,1281,673
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8],[1154,1275],[1154,1812],[6,20,17,181,209,118,54,1115,1313],[6,20,17,181,209
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,1313,776,418],[6,20,17,181,209,118,54,1115,1381],[15,11,181,209,118,1115,1313
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[6,20,17,181,209,118,433,1036,1324],[6,20,17,181,209,1115,1313,787,1613],[421,
606,433,1098,1481,1,82],[421,606,433,1098,1481,1,12],[6,20,17,54,158,1115,1313
,776,475],[421,606,433,1098,1481,1,83],[942,969,3,8,54,1295],[1271,995,3,8,367
],[1294,848,3,8,383],[1294,848,3,8,382],[1294,848,3,8,1],[968,1269,1,31,12,51]
,[202,1265,1,31,12],[95,4,305,1207,1496],[488,1790,1,124,235],[944,1703,15],[
13,21,4,181,209,118,55,1115,1313,776,414],[3,8,1,181,209,118,1115,1313,776,433
,1613],[3,8,1,181,209,118,1115,1313,776,433,1621],[1,12,181,238,192,97,1313,
1115,834,413,1613],[1309,1602,1493,275],[57,46,731,1704,511],[95,68,1440,1224,
513],[1469,1266,629],[1742,1439,129],[57,46,731,1704,510],[1719,829,1199],[95,
68,1440,1224,1774],[95,68,1440,1224,1777],[49,48,20,2,516,372,1105],[942,969,
15,11,58],[942,969,15,11,1299],[6,20,17,118,54,1247,897,800],[612,887,1450,31]
,[1445,1575,32],[49,48,20,2,1249,821],[6,20,17,54,158,209,413,1016,1313,1613],
[75,334,1281,673,171,3,11,1757,1,1501],[75,334,1281,673,171,3,11,1757,1,1507],
[75,334,1281,673,171,3,11,1757,1,24],[4,65,25,305,159,1207,665,1513,1761,392],
[658,1255,1841],[1831,1453],[1571,1749],[944,1703,1,12],[6,20,17,181,209,118,
1115,1313,776],[838,1686,1822,1,109,134,252],[1590,1466,1253,11,3,1,158],[95,4
,462,1063,1418,563],[1182,1674,13,21,6,399],[95,4,462,1063,1418,544],[1590,
1466,1253,3,8,66,24],[1182,1674,13,21,6,400],[95,4,159,414,1017,1418],[838,
1686,1822,1,109,134,254],[838,1686,1822,2,24,97,259],[838,1686,1822,2,24,97,
134],[838,1686,1822,1,109,137,252],[838,1686,1822,1,109,137,254],[838,1686,
1822,2,24,97,252],[41,45,192,101,1115,1313,776,417],[284,969,3,8,1,54,1310,599
],[6,20,17,54,305,158,1207,664,1495],[1710,1564,1472,27,41],[1445,1575,3,24],[
1268,1311,1470,1586,1692,3,28],[1445,1575,3,97],[1445,1575,3,109],[1268,1311,
1470,1586,1692,3,111],[1445,1575,3,104],[598,1699],[914,1270],[873,1795],[6,20
,17,1154,1354,1613,826,570],[13,21,4,181,209,118,1115,1313,776,1651,247],[1309
,1602,1493,1],[548,1836],[6,20,17,181,433,1036,1354,1613,570,217],[6,20,17,181
,433,1036,1354,1613,570,209],[6,20,17,54,158,413,1016,1354,1613,570],[55,13,
1017,414,159,82,209,544,1313,1],[15,11,181,209,118,58,1115,1313,776,418,1613],
[6,20,17,181,209,1115,1313,787,433,1613],[1462,1573,3,8,5,26,105,148,267],[284
,1261,15],[49,48,20,2,192,1115,1313,776],[202,1265,1,31,12,116],[202,1265,1,31
,12,97],[95,4,305,1207,707,1515],[944,1703,15,11],[8,11,5,238,181,198,161,1313
,1477,776,665,1613],[1583,1479,1348,421,1728],[1700,972,421,1199],[95,68,1440,
1224,513,1774],[155,156,897,1306,1477,153,13,268],[57,46,731,1704,3,510],[49,
48,20,2,97,1247,897,800],[896,877,1591,31,107],[1445,1575,32,117],[896,877,
1591,1,12],[1445,1575,32,12],[540,1689,1,134],[1445,1575,32,116],[49,48,20,2,
1249,821,975],[1281,1296,1297,1298,1299,1301,1303,665,666,673,684,707,731,6,25
,55,159,268,92,385,1496],[75,334,1281,673,171,3,11,1757,1,24,1501],[1753,1579,
13,21,6],[6,20,17,181,209,118,1115,1313,776,433],[1462,1573,8,11,10,109,134,65
,277],[6,20,17,181,209,118,1115,1313,776,1613],[1824,1008,653,407,253,25,55,98
],[95,4,159,414,1017,1418,544],[49,48,20,2,97,267,347,1207,664],[1271,995,3,8,
1,367],[944,1261],[1445,1575,3,24,97],[1710,1564,1472,27,41,97],[1445,1575,3,8
,24],[1710,1564,1472,27,42,97],[1445,1575,3,28,97],[1445,1575,3,8,97],[1445,
1575,3,24,104],[598,1699,631],[13,21,4,181,209,118,55,1115,1313,776,414,1651],
[524,1795],[1697,1541],[1583,1479,1348,1,275],[597,1300,895,231],[1583,1479,
1348,1,1726],[1445,1575,1,31],[6,20,17,54,158,413,1016,1354,1613,570,209],[
1115,1063,1036,1023,1017,462,433,421,414,181,166,159,61,55,13,21,82,209,544,
1313],[819,1307,38,13],[731,1593,1823,1,148,109,65,254],[1577,1708,1462,8,11,1
,65,171],[1577,1708,1462,8,11,1,65,24],[95,4,305,159,1207,665,1496],[1581,1329
,1480,12,541,1726],[1445,1575,3,8,1],[1445,1575,3,24,44],[1445,1575,32,12,116]
,[638,1574,1,78,129],[6,20,17,181,209,118,1115,1313,776,433,1621],[6,20,17,181
,209,118,54,1115,1313,776,413],[6,20,17,181,209,118,1115,1313,776,433,1613],[
229,1690,1736,1696,61],[944,1261,3],[1445,1575,3,8,24,97],[198,118,232,233,234
,488,723,1088,130,131,132,55,57,61,6,13,247,1613],[524,1795,891],[524,1795,890
],[524,1795,54],[837,1266,101],[1581,1329,1480,1,542,1726],[1465,1437,1595,1,
12,267],[1581,1329,1480,1,542,1728],[1445,1575,1,31,12],[828,875,1741,1,31,107
],[1445,1575,1,31,116],[284,1261,15,11,58],[49,48,20,2,192,97,1115,1313,776,
413],[944,1261,1],[1750,1717,1582,11,3,1,24],[1445,1575,3,24,44,8],[1445,1575,
3,24,44,97],[1710,1564,1472,27,41,14,97],[1750,1717,1582,11,3,1,97],[1445,1575
,3,24,44,104],[1697,1688],[6,20,17,181,209,118,54,1115,1313,776,413,1613],[
1258,1463,1272,640,630,13,21],[1673,1655,946,3,54],[944,1261,3,59],[1263,1795]
,[154,87,40,13,268,414,665,1017,1727,1],[524,1795,54,890],[1445,1575,1,31,12,
97],[1445,1575,1,31,12,116],[1445,1575,1,31,12,51],[1190,1432],[1190,1489],[
944,1261,15],[1718,1738,941,14,3],[202,1584,1610,1592,1,61],[202,1584,1610,
1592,1,54],[1249,1019,27,4,1],[1445,1575,3,24,44,8,97],[894,1227],[1702,1688],
[1475,1795],[1258,1463,1272,640,630,13,21,55],[1434,1716],[1445,1575,1,31,12,
51,97],[944,1261,15,11],[1258,1463,1272,640,630,13,21,6],[1016,1295,1468,1585,
1691,1744,1792,3,12],[894,1227,1761],[894,1227,1767],[894,1227,159],[1475,1795
,54],[1702,1688,102],[1434,1716,3],[1434,1716,27],[944,1261,15,11,58],[944,
1261,3,8,1,54],[75,85,96,93,181,284,433,684,1036,37,52,46,22,18,4,1761],[1434,
1716,4],[1434,1716,3,8],[1434,1716,3,28],[1434,1716,3,24],[1260,1688],[75,398,
639,230,128,993,1791,55,57],[974,1798],[997,1799,3,8,24],[1834,799,1796],[1,3,
12,24,97,158,267,413,664,1016],[622,202,9,994,1492,1601,1219],[17,5,1,64,108,
170,276,425,672,1027],[1824,1008,653,407,253,154,87,40,13],[5,1,30,60,105,165,
274,420,670,1022],[1264,1825,1789,632],[500,523,528,530,531,534,776,1306,413,
414],[1278,831,535,331,199,125,72,34,14],[1840,1013,659,412,265,157,94,47,19,3
],[1279,832,536,332,200,126,73,35,16,4],[1280,833,537,333,201,127,74,36,17,5,1
]]);

AFLT( "A13","S13",[ 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, 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, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 92, 93, 94, 
  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, 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, 286, 287, 
  287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 300, 
  301, 302, 303, 304, 304, 305, 305, 306, 307, 307, 308, 308, 309, 309, 310, 
  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, 345, 346, 347, 348, 349, 349, 350, 351, 352, 
  353, 354, 355, 356, 357, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 
  367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 378, 379, 380, 
  381, 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, 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, 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, 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, 614, 615, 
  616, 617, 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, 648, 649, 650, 650, 651, 652, 652, 653, 654, 655, 655, 
  656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 
  671, 672, 673, 674, 675, 676, 677, 677, 678, 679, 680, 681, 682, 683, 684, 
  684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 695, 696, 697, 
  697, 698, 699, 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, 737, 738, 739, 
  740, 741, 742, 743, 744, 745, 746, 747, 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, 782, 
  783, 783, 784, 785, 785, 786, 787, 788, 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, 814, 815, 815, 816, 817, 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, 857, 858, 859, 860, 861, 862, 863, 864, 865, 
  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, 1056, 1057, 1058, 
  1059, 1060, 1061, 1061, 1062, 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, 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, 1264, 1265, 1265, 1266, 1267, 1268, 1269, 
  1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1278, 1279, 1280, 
  1281, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 
  1292, 1293, 1294, 1295, 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, 1343, 1344, 1344, 1345, 1345, 1346, 1346, 
  1347, 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, 1380, 
  1381, 1381, 1382, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 
  1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 
  1402, 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, 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, 1481, 1482, 
  1482, 1483, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1490, 1491, 
  1492, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 
  1503, 1504, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 
  1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 
  1526, 1527, 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, 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, 1748, 1749, 1750, 
  1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1761, 
  1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 
  1774, 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, 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, 
  1987, 1988, 1989, 1990, 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, 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, 2071, 2072, 2073, 2074, 2075, 2076, 2077, 2078, 2079, 
  2079, 2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087, 2088, 2089, 2090, 
  2090, 2091, 2091, 2092, 2093, 2094, 2095, 2096, 2097, 2098, 2099, 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, 2176, 2177, 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, 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, 2369, 2370, 2371, 
  2372, 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, 2510, 2511, 2511, 2512, 
  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, 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, 2639, 2640, 2640, 
  2641, 2642, 2643, 2644, 2644, 2645, 2646, 2647, 2648, 2649, 2650, 2651, 
  2652, 2653, 2654, 2655, 2656, 2656, 2657, 2657, 2658, 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, 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, 2759, 2760, 2760, 2761, 2762, 2763, 2764, 2765, 
  2766, 2767, 2768, 2768, 2769, 2770, 2771, 2772, 2773, 2774, 2775, 2776, 
  2777, 2778, 2779, 2780, 2781, 2782, 2783, 2784, 2785, 2786, 2787, 2788, 
  2789, 2790, 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, 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, 2915, 2916, 2917, 2918, 
  2919, 2920, 2921, 2922, 2923, 2924, 2925, 2926, 2927, 2928, 2929, 2930, 
  2931, 2932, 2933, 2934, 2935, 2936, 2937, 2938, 2939, 2940, 2941, 2942, 
  2943, 2944, 2945, 2946, 2947, 2948, 2949, 2950, 2951, 2952, 2953, 2954, 
  2955, 2956, 2957, 2958, 2959, 2960, 2961, 2962, 2963, 2964, 2965, 2966, 
  2967, 2968, 2969, 2970, 2971, 2972, 2973, 2974, 2975, 2976, 2977, 2978, 
  2979, 2980, 2981, 2982, 2983, 2984, 2985, 2986, 2987, 2988, 2989, 2990, 
  2991, 2992, 2993, 2994, 2995, 2996, 2997, 2998, 2999, 3000, 3001, 3002, 
  3003, 3004, 3005, 3006, 3007, 3008, 3009, 3010, 3011, 3012, 3013, 3014, 
  3015, 3016, 3017, 3018, 3019, 3020, 3021, 3022, 3023, 3024, 3025, 3026, 
  3027, 3028, 3029, 3030, 3031, 3032, 3033, 3034, 3035, 3036, 3037, 3038, 
  3039, 3040, 3041, 3042, 3043, 3044, 3045, 3046, 3047, 3048, 3049, 3050, 
  3051, 3052, 3053, 3054, 3055, 3056, 3056, 3057, 3058, 3059, 3060, 3061, 
  3062, 3063, 3064, 3065, 3066, 3067, 3068, 3069, 3070, 3071, 3072, 3073, 
  3074, 3075, 3076, 3077, 3078, 3079, 3080, 3081, 3082, 3083, 3084, 3085, 
  3086, 3087, 3088, 3089, 3089, 3090, 3090, 3091, 3092, 3093, 3094, 3095, 
  3096, 3097, 3098, 3099, 3100, 3101, 3102, 3103, 3104, 3105, 3106, 3107, 
  3108, 3109, 3110, 3111, 3112, 3113, 3114, 3115, 3116, 3117, 3118, 3119, 
  3120, 3121, 3122, 3123, 3124, 3125, 3126, 3127, 3128, 3129, 3130, 3131, 
  3132, 3133, 3134, 3135, 3136, 3137, 3138, 3139, 3140, 3141, 3142, 3143, 
  3144, 3145, 3146, 3147, 3148, 3149, 3150, 3151, 3152, 3153, 3154, 3155, 
  3156, 3157, 3158, 3159, 3160, 3161, 3162, 3163, 3164, 3165, 3166, 3167, 
  3168, 3169, 3170, 3171, 3172, 3173, 3174, 3175, 3176, 3177, 3178, 3179, 
  3180, 3181, 3182, 3183, 3184, 3185, 3186, 3187, 3188, 3189, 3190, 3191, 
  3192, 3193, 3194, 3195, 3196, 3197, 3198, 3199, 3200, 3201, 3202, 3203, 
  3204, 3205, 3206, 3207, 3208, 3209, 3210, 3211, 3212, 3213, 3214, 3215, 
  3216, 3217, 3218, 3219, 3220, 3221, 3222, 3223, 3224, 3225, 3226, 3227, 
  3228, 3229, 3230, 3231, 3232, 3233, 3234, 3235, 3236, 3237, 3238, 3239, 
  3240, 3241, 3242, 3243, 3244, 3245, 3246, 3247, 3248, 3249, 3250, 3251, 
  3252, 3253, 3254, 3255, 3256, 3257, 3258, 3259, 3260, 3261, 3262, 3263, 
  3264, 3265, 3266, 3267, 3268, 3269, 3270, 3271, 3272, 3273, 3274, 3275, 
  3276, 3277, 3278, 3279, 3280, 3281, 3282, 3282, 3283, 3283, 3284, 3284, 
  3285, 3286, 3286, 3287, 3288, 3289, 3290, 3291, 3292, 3293, 3294, 3295, 
  3296, 3297, 3298, 3299, 3300, 3301, 3302, 3303, 3304, 3305, 3306, 3307, 
  3308, 3309, 3310, 3311, 3312, 3313, 3314, 3315, 3316, 3317, 3318, 3319, 
  3320, 3321, 3322, 3323, 3324, 3325, 3326, 3327, 3328, 3329, 3330, 3331, 
  3332, 3333, 3334, 3335, 3336, 3337, 3338, 3339, 3340, 3341, 3342, 3343, 
  3344, 3345, 3346, 3347, 3348, 3349, 3350, 3351, 3352, 3353, 3354, 3355, 
  3356, 3357, 3358, 3359, 3360, 3361, 3362, 3363, 3364, 3365, 3366, 3367, 
  3368, 3369, 3370, 3371, 3372, 3373, 3374, 3375, 3376, 3377, 3378, 3379, 
  3380, 3381, 3382, 3382, 3383, 3384, 3385, 3385, 3386, 3387, 3388, 3389, 
  3390, 3391, 3392, 3393, 3394, 3395, 3396, 3397, 3398, 3399, 3400, 3401, 
  3402, 3403, 3404, 3405, 3405, 3406, 3407, 3408, 3409, 3410, 3411, 3412, 
  3413, 3414, 3415, 3416, 3417, 3418, 3419, 3420, 3421, 3422, 3423, 3424, 
  3425, 3426, 3427, 3428, 3429, 3430, 3431, 3432, 3433, 3434, 3435, 3436, 
  3437, 3438, 3439, 3440, 3441, 3442, 3443, 3444, 3445, 3446, 3447, 3448, 
  3449, 3450, 3451, 3452, 3453, 3454, 3455, 3456, 3457, 3458, 3459, 3460, 
  3461, 3462, 3463, 3464, 3465, 3466, 3467, 3468, 3469, 3470, 3471, 3472, 
  3473, 3474, 3475, 3476, 3477, 3478, 3479, 3480, 3481, 3482, 3483, 3484, 
  3485, 3486, 3487, 3488, 3489, 3490, 3491, 3492, 3493, 3493, 3494, 3495, 
  3496, 3497, 3498, 3499, 3500, 3501, 3502, 3503, 3504, 3505, 3505, 3506, 
  3506, 3507, 3507, 3508, 3509, 3510, 3511, 3512, 3513, 3514, 3515, 3516, 
  3516, 3517, 3518, 3519, 3520, 3521, 3522, 3523, 3524, 3525, 3526, 3527, 
  3528, 3529, 3530, 3531, 3532, 3533, 3534, 3535, 3536, 3537, 3538, 3539, 
  3539, 3540, 3541, 3542, 3543, 3544, 3545, 3546, 3547, 3547, 3548, 3548, 
  3549, 3549, 3550, 3551, 3552, 3553, 3554, 3555, 3556, 3557, 3558, 3558, 
  3559, 3560, 3561, 3562, 3563, 3564, 3565, 3566, 3567, 3568, 3569, 3570, 
  3571, 3572, 3573, 3573, 3574, 3575, 3576, 3577, 3578, 3579, 3580, 3581, 
  3582, 3583, 3584, 3585, 3586, 3587, 3588, 3589, 3590, 3591, 3592, 3593, 
  3594, 3595, 3596, 3597, 3598, 3599, 3599, 3600, 3601, 3602, 3603, 3604, 
  3605, 3606, 3607, 3608, 3609, 3610, 3611, 3612, 3613, 3614, 3615, 3616, 
  3617, 3618, 3619, 3620, 3621, 3622, 3623, 3624, 3625, 3626, 3627, 3628, 
  3629, 3630, 3631, 3632, 3633, 3634, 3635, 3636, 3637, 3638, 3639, 3640, 
  3640, 3641, 3642, 3643, 3644, 3645, 3646, 3647, 3648, 3649, 3650, 3651, 
  3652, 3653, 3654, 3655, 3656, 3657, 3658, 3659, 3660, 3661, 3662, 3663, 
  3664, 3665, 3666, 3667, 3668, 3669, 3670, 3671, 3672, 3673, 3674, 3675, 
  3676, 3677, 3678, 3679, 3680, 3681, 3682, 3683, 3684, 3685, 3686, 3687, 
  3688, 3689, 3690, 3691, 3692, 3693, 3694, 3695, 3696, 3697, 3698, 3699, 
  3700, 3701, 3702, 3703, 3704, 3705, 3706, 3707, 3708, 3709, 3710, 3711, 
  3712, 3713, 3714, 3715, 3716, 3717, 3718, 3719, 3720, 3721, 3722, 3723, 
  3724, 3725, 3726, 3727, 3728, 3729, 3730, 3731, 3732, 3733, 3734, 3735, 
  3736, 3737, 3738, 3739, 3740, 3741, 3742, 3743, 3744, 3745, 3746, 3747, 
  3748, 3749, 3750, 3751, 3752, 3753, 3754, 3755, 3756, 3757, 3758, 3759, 
  3760, 3761, 3762, 3763, 3764, 3765, 3766, 3767, 3767, 3768, 3768, 3769, 
  3770, 3770, 3771, 3772, 3773, 3774, 3775, 3776, 3777, 3778, 3779, 3780, 
  3781, 3782, 3783, 3784, 3785, 3786, 3787, 3788, 3789, 3790, 3791, 3792, 
  3793, 3794, 3795, 3796, 3797, 3798, 3799, 3800, 3801, 3802, 3803, 3804, 
  3805, 3806, 3807, 3808, 3809, 3810, 3811, 3812, 3813, 3814, 3815, 3816, 
  3817, 3818, 3819, 3820, 3821, 3822, 3823, 3824, 3824, 3825, 3826, 3827, 
  3828, 3829, 3830, 3830, 3831, 3832, 3833, 3834, 3834, 3835, 3836, 3837, 
  3838, 3839, 3839, 3840, 3841, 3842, 3843, 3844, 3845, 3846, 3847, 3848, 
  3849, 3850, 3851, 3852, 3853, 3854, 3855, 3856, 3857, 3857, 3858, 3859, 
  3860, 3861, 3862, 3863, 3864, 3865, 3866, 3867, 3868, 3869, 3870, 3871, 
  3872, 3873, 3874, 3875, 3876, 3877, 3878, 3879, 3880, 3881, 3882, 3883, 
  3884, 3885, 3886, 3887, 3888, 3889, 3890, 3891, 3892, 3893, 3894, 3895, 
  3896, 3897, 3898, 3899, 3899, 3900, 3901, 3902, 3903, 3903, 3904, 3905, 
  3906, 3907, 3908, 3909, 3910, 3911, 3912, 3913, 3914, 3915, 3916, 3917, 
  3918, 3919, 3920, 3921, 3922, 3923, 3924, 3925, 3926, 3927, 3928, 3929, 
  3930, 3931, 3932, 3933, 3934, 3935, 3936, 3937, 3937, 3938, 3939, 3940, 
  3941, 3942, 3943, 3944, 3945, 3946, 3947, 3948, 3949, 3950, 3951, 3952, 
  3953, 3954, 3955, 3956, 3957, 3958, 3959, 3960, 3961, 3962, 3963, 3964, 
  3965, 3966, 3967, 3968, 3969, 3970, 3971, 3972, 3973, 3974, 3974, 3975, 
  3976, 3977, 3978, 3979, 3980, 3981, 3982, 3983, 3984, 3985, 3986, 3987, 
  3988, 3989, 3990, 3991, 3992, 3993, 3994, 3995, 3996, 3997, 3998, 3999, 
  4000, 4001, 4002, 4003, 4004, 4005, 4006, 4007, 4008, 4009, 4010, 4011, 
  4012, 4013, 4014, 4015, 4016, 4017, 4018, 4019, 4020, 4021, 4022, 4023, 
  4024, 4025, 4026, 4027, 4028, 4029, 4030, 4031, 4032, 4033, 4034, 4035, 
  4036, 4037, 4038, 4038, 4039, 4040, 4040, 4041, 4042, 4043, 4044, 4045, 
  4046, 4047, 4048, 4049, 4050, 4051, 4052, 4053, 4054, 4055, 4056, 4057, 
  4058, 4059, 4060, 4061, 4062, 4063, 4064, 4065, 4066, 4067, 4068, 4069, 
  4070, 4071, 4072, 4073, 4074, 4075, 4076, 4077, 4078, 4079, 4080, 4081, 
  4082, 4083, 4084, 4085, 4086, 4087, 4088, 4089, 4090, 4091, 4092, 4093, 
  4094, 4095, 4096, 4097, 4098, 4099, 4100, 4101, 4102, 4103, 4104, 4105, 
  4106, 4107, 4108, 4109, 4110, 4111, 4112, 4113, 4114, 4115, 4116, 4117, 
  4118, 4119, 4120, 4121, 4122, 4123, 4124, 4125, 4126, 4127, 4128, 4129, 
  4129, 4130, 4131, 4132, 4133, 4134, 4135, 4136, 4137, 4138, 4139, 4140, 
  4141, 4142, 4143, 4144, 4145, 4146, 4147, 4148, 4149, 4150, 4151, 4152, 
  4153, 4154, 4155, 4156, 4157, 4158, 4159, 4160, 4161, 4162, 4163, 4164, 
  4165, 4166, 4167, 4168, 4169, 4170, 4171, 4172, 4173, 4174, 4175, 4176, 
  4176, 4177, 4178, 4179, 4180, 4181, 4182, 4183, 4184, 4185, 4186, 4187, 
  4188, 4189, 4190, 4191, 4192, 4193, 4194, 4195, 4196, 4197, 4197, 4198, 
  4199, 4200, 4201, 4202, 4203, 4204, 4205, 4206, 4207, 4208, 4209, 4210, 
  4211, 4212, 4213, 4214, 4215, 4215, 4216, 4217, 4218, 4219, 4220, 4221, 
  4222, 4223, 4224, 4225, 4226, 4227, 4228, 4229, 4229, 4230, 4231, 4232, 
  4233, 4234, 4235, 4236, 4237, 4238, 4239, 4240, 4241, 4242, 4243, 4244, 
  4245, 4246, 4247, 4248, 4249, 4250, 4251, 4252, 4253, 4254, 4255, 4256, 
  4257, 4258, 4259, 4260, 4261, 4262, 4263, 4264, 4265, 4266, 4267, 4268, 
  4269, 4270, 4271, 4272, 4273, 4274, 4275, 4276, 4277, 4278, 4279, 4280, 
  4281, 4282, 4283, 4284, 4285, 4286, 4287, 4288, 4289, 4290, 4291, 4292, 
  4293, 4294, 4295, 4296, 4297, 4298, 4299, 4300, 4301, 4302, 4303, 4304, 
  4305, 4306, 4307, 4308, 4309, 4310, 4311, 4312, 4313, 4314, 4315, 4316, 
  4317, 4318, 4319, 4320, 4321, 4322, 4323, 4324, 4325, 4326, 4327, 4328, 
  4329, 4330, 4331, 4332, 4333, 4334, 4335, 4336, 4337, 4338, 4339, 4340, 
  4341, 4342, 4343, 4344, 4345, 4346, 4347, 4348, 4349, 4350, 4351, 4352, 
  4353, 4354, 4355, 4356, 4357, 4358, 4359, 4360, 4361, 4362, 4363, 4364, 
  4365, 4365, 4366, 4367, 4368, 4369, 4370, 4371, 4372, 4373, 4374, 4375, 
  4376, 4377, 4378, 4379, 4380, 4381, 4381, 4382, 4383, 4384, 4385, 4386, 
  4387, 4388, 4389, 4390, 4391, 4392, 4393, 4394, 4395, 4396, 4397, 4398, 
  4399, 4400, 4401, 4402, 4403, 4404, 4405, 4406, 4407, 4408, 4409 ]);
#############################################################################
##
#E